From fdd84f24e5c8cf15849183a999f80742fd3f7ae6 Mon Sep 17 00:00:00 2001
From: Arya Tabaie <arya.pourtabatabaie@gmail.com>
Date: Mon, 9 Jun 2025 07:17:34 -0500
Subject: [PATCH] refactor: Use new GKR API (#1064)

* use new gkr API

* fix Table pointers

* refactor: remove removed test engine option

* chore: don't initialize struct for interface assertion

* refactor: plonk-in-wizard hardcoded over U64 for now

* refactor: use new gnark-crypto stateless RSis API

* test: disable incompatible tests

* chore: go mod update to PR tip

* chore: dependency against gnark master

* chore: cherry-pick 43141fc13d2bd2d9420d2412962723051f1d50ae

* test: cherry pick test from 407d2e25ecfc32f5ed702ab42e5b829d7cabd483

* chore: remove magic values

* chore: update go version in Docker builder to match go.mod

---------

Co-authored-by: Ivo Kubjas <ivo.kubjas@consensys.net>
---
 prover/Dockerfile                             |    2 +-
 prover/circuits/aggregation/circuit.go        |    2 +-
 .../v0/compress/internal/io.go                |    4 +-
 .../v0/compress/lzss/snark.go                 |    2 +-
 prover/circuits/blobdecompression/v1/snark.go |    2 +-
 prover/circuits/internal/utils.go             |    8 +-
 prover/circuits/prove.go                      |    4 +-
 prover/crypto/mimc/gkrmimc/finalgates.go      |  103 -
 prover/crypto/mimc/gkrmimc/gkrcircuit.go      |  147 +-
 prover/crypto/mimc/gkrmimc/normalgates.go     |   87 -
 prover/crypto/ringsis/.gitignore              |    1 +
 prover/crypto/ringsis/gen.go                  |    5 -
 prover/crypto/ringsis/ringis.go               |  203 +-
 .../ringsis_32_8/limb_decompose_test.go       |   44 -
 .../ringsis/ringsis_32_8/partial_fft.go       |  178 -
 .../ringsis/ringsis_32_8/partial_fft_test.go  |   55 -
 .../ringsis/ringsis_32_8/transversal_hash.go  |  204 -
 .../ringsis_32_8/transversal_hash_test.go     |  114 -
 .../crypto/ringsis/ringsis_32_8/twiddles.go   |  136 -
 .../ringsis_64_16/limb_decompose_test.go      |   44 -
 .../ringsis/ringsis_64_16/partial_fft.go      | 5418 -----------------
 .../ringsis/ringsis_64_16/partial_fft_test.go |   55 -
 .../transerval_hash_bench_test.go             |   57 -
 .../ringsis/ringsis_64_16/transversal_hash.go |  245 -
 .../ringsis_64_16/transversal_hash_test.go    |  114 -
 .../crypto/ringsis/ringsis_64_16/twiddles.go  |  237 -
 .../ringsis_64_8/limb_decompose_test.go       |   44 -
 .../ringsis/ringsis_64_8/partial_fft.go       | 1146 ----
 .../ringsis/ringsis_64_8/partial_fft_test.go  |   55 -
 .../ringsis/ringsis_64_8/transversal_hash.go  |  239 -
 .../crypto/ringsis/ringsis_64_8/twiddles.go   |  237 -
 prover/crypto/ringsis/ringsis_test.go         |   71 +-
 prover/crypto/ringsis/templates/generator.go  |   93 -
 .../templates/limb_decompose_test.go.tmpl     |   47 -
 .../crypto/ringsis/templates/partial_fft.go   |  130 -
 .../ringsis/templates/partial_fft.go.tmpl     |   19 -
 .../ringsis/templates/partial_fft_test.go     |   18 -
 .../templates/partial_fft_test.go.tmpl        |   58 -
 .../testcases/partial_fft_64_3_2.txt          |  386 --
 .../templates/transversal_hash.go.tmpl        |  187 -
 .../templates/transversal_hash_test.go.tmpl   |  116 -
 .../crypto/ringsis/templates/twiddles.go.tmpl |   39 -
 prover/crypto/ringsis/transversal_hash.go     |  242 +
 .../transversal_hash_test.go                  |   98 +-
 prover/go.mod                                 |   24 +-
 prover/go.sum                                 |   38 +-
 prover/maths/field/bls12_377.go               |    7 +
 .../protocol/dedicated/plonk/rangechecker.go  |    8 +-
 prover/utils/utils.go                         |    2 +-
 49 files changed, 514 insertions(+), 10261 deletions(-)
 delete mode 100644 prover/crypto/mimc/gkrmimc/finalgates.go
 delete mode 100644 prover/crypto/mimc/gkrmimc/normalgates.go
 create mode 100644 prover/crypto/ringsis/.gitignore
 delete mode 100644 prover/crypto/ringsis/gen.go
 delete mode 100644 prover/crypto/ringsis/ringsis_32_8/limb_decompose_test.go
 delete mode 100644 prover/crypto/ringsis/ringsis_32_8/partial_fft.go
 delete mode 100644 prover/crypto/ringsis/ringsis_32_8/partial_fft_test.go
 delete mode 100644 prover/crypto/ringsis/ringsis_32_8/transversal_hash.go
 delete mode 100644 prover/crypto/ringsis/ringsis_32_8/transversal_hash_test.go
 delete mode 100644 prover/crypto/ringsis/ringsis_32_8/twiddles.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_16/limb_decompose_test.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_16/partial_fft.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_16/partial_fft_test.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_16/transerval_hash_bench_test.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_16/transversal_hash.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_16/transversal_hash_test.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_16/twiddles.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_8/limb_decompose_test.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_8/partial_fft.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_8/partial_fft_test.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_8/transversal_hash.go
 delete mode 100644 prover/crypto/ringsis/ringsis_64_8/twiddles.go
 delete mode 100644 prover/crypto/ringsis/templates/generator.go
 delete mode 100644 prover/crypto/ringsis/templates/limb_decompose_test.go.tmpl
 delete mode 100644 prover/crypto/ringsis/templates/partial_fft.go
 delete mode 100644 prover/crypto/ringsis/templates/partial_fft.go.tmpl
 delete mode 100644 prover/crypto/ringsis/templates/partial_fft_test.go
 delete mode 100644 prover/crypto/ringsis/templates/partial_fft_test.go.tmpl
 delete mode 100644 prover/crypto/ringsis/templates/testcases/partial_fft_64_3_2.txt
 delete mode 100644 prover/crypto/ringsis/templates/transversal_hash.go.tmpl
 delete mode 100644 prover/crypto/ringsis/templates/transversal_hash_test.go.tmpl
 delete mode 100644 prover/crypto/ringsis/templates/twiddles.go.tmpl
 create mode 100644 prover/crypto/ringsis/transversal_hash.go
 rename prover/crypto/ringsis/{ringsis_64_8 => }/transversal_hash_test.go (50%)

diff --git a/prover/Dockerfile b/prover/Dockerfile
index 01ea26e5..db30bd9b 100644
--- a/prover/Dockerfile
+++ b/prover/Dockerfile
@@ -6,7 +6,7 @@
 # G O + R U S T   B U I L D E R
 #
 ###############################
-FROM golang:1.22.7-alpine AS go-builder
+FROM golang:1.23.10-alpine AS go-builder
 
 RUN apk add --no-cache rust cargo bash make
 
diff --git a/prover/circuits/aggregation/circuit.go b/prover/circuits/aggregation/circuit.go
index 65d33bb2..532eb436 100644
--- a/prover/circuits/aggregation/circuit.go
+++ b/prover/circuits/aggregation/circuit.go
@@ -74,7 +74,7 @@ func (c *Circuit) Define(api frontend.API) error {
 	}
 
 	// create a lookup table of actual public inputs
-	actualPI := make([]*logderivlookup.Table, (emFr{}).NbLimbs())
+	actualPI := make([]logderivlookup.Table, (emFr{}).NbLimbs())
 	for i := range actualPI {
 		actualPI[i] = logderivlookup.New(api)
 	}
diff --git a/prover/circuits/blobdecompression/v0/compress/internal/io.go b/prover/circuits/blobdecompression/v0/compress/internal/io.go
index 761860fe..f1df9aab 100644
--- a/prover/circuits/blobdecompression/v0/compress/internal/io.go
+++ b/prover/circuits/blobdecompression/v0/compress/internal/io.go
@@ -15,11 +15,11 @@ import (
 // TODO Use std/rangecheck instead
 type RangeChecker struct {
 	api    frontend.API
-	tables map[uint]*logderivlookup.Table
+	tables map[uint]logderivlookup.Table
 }
 
 func NewRangeChecker(api frontend.API) *RangeChecker {
-	return &RangeChecker{api: api, tables: make(map[uint]*logderivlookup.Table)}
+	return &RangeChecker{api: api, tables: make(map[uint]logderivlookup.Table)}
 }
 
 func (r *RangeChecker) AssertLessThan(bound uint, c ...frontend.Variable) {
diff --git a/prover/circuits/blobdecompression/v0/compress/lzss/snark.go b/prover/circuits/blobdecompression/v0/compress/lzss/snark.go
index ae7fb5e4..90080e2e 100644
--- a/prover/circuits/blobdecompression/v0/compress/lzss/snark.go
+++ b/prover/circuits/blobdecompression/v0/compress/lzss/snark.go
@@ -126,7 +126,7 @@ func Decompress(api frontend.API, c []frontend.Variable, cLength frontend.Variab
 	return dLength, nil
 }
 
-func initAddrTable(api frontend.API, bytes, c []frontend.Variable, wordNbBits int, backrefs []lzss.BackrefType) *logderivlookup.Table {
+func initAddrTable(api frontend.API, bytes, c []frontend.Variable, wordNbBits int, backrefs []lzss.BackrefType) logderivlookup.Table {
 	for i := range backrefs {
 		if backrefs[i].NbBitsLength != backrefs[0].NbBitsLength {
 			panic("all backref types must have the same length size")
diff --git a/prover/circuits/blobdecompression/v1/snark.go b/prover/circuits/blobdecompression/v1/snark.go
index cb15852d..9a4714c8 100644
--- a/prover/circuits/blobdecompression/v1/snark.go
+++ b/prover/circuits/blobdecompression/v1/snark.go
@@ -180,7 +180,7 @@ func CheckBatchesSums(api frontend.API, hasher snarkHash.FieldHasher, nbBatches
 	}
 
 	var (
-		partialSumsT *logderivlookup.Table
+		partialSumsT logderivlookup.Table
 		partialSums  []frontend.Variable
 	)
 	// create a table of claimed sums and prove their correctness as we go through the payload
diff --git a/prover/circuits/internal/utils.go b/prover/circuits/internal/utils.go
index ea22a392..b65736e5 100644
--- a/prover/circuits/internal/utils.go
+++ b/prover/circuits/internal/utils.go
@@ -40,7 +40,7 @@ func AssertIsLessIf(api frontend.API, cond, a, b frontend.Variable) {
 	api.AssertIsLessOrEqual(a_, b_)
 }
 
-func SliceToTable(api frontend.API, slice []frontend.Variable) *logderivlookup.Table {
+func SliceToTable(api frontend.API, slice []frontend.Variable) logderivlookup.Table {
 	table := logderivlookup.New(api)
 	for i := range slice {
 		table.Insert(slice[i])
@@ -271,7 +271,7 @@ func (s VarSlice) Range(api frontend.API) *Range {
 func Concat(api frontend.API, maxLinearizedLength int, slices ...VarSlice) Slice[frontend.Variable] {
 
 	res := Slice[frontend.Variable]{make([]frontend.Variable, maxLinearizedLength), 0}
-	var outT *logderivlookup.Table
+	var outT logderivlookup.Table
 	{ // hint
 		inLen := 2 * len(slices)
 		for i := range slices {
@@ -414,7 +414,7 @@ func ChecksumSubSlices(api frontend.API, hsh snarkHash.FieldHasher, slice []fron
 		lastElems[i] =
 			plonk.EvaluateExpression(api, e, endpointsR.InRange[i], 0, -1-len(slice), 1, len(slice))
 	}
-	var lastElemsT *logderivlookup.Table
+	var lastElemsT logderivlookup.Table
 	if len(slice) > 1 {
 		lastElemsT = SliceToTable(api, lastElems)
 		lastElemsT.Insert(len(slice)) // in case subEndPoints is tight
@@ -730,7 +730,7 @@ func PartitionSlice(api frontend.API, s []frontend.Variable, selectors []fronten
 		panic(err)
 	}
 
-	subsT := make([]*logderivlookup.Table, len(subs))
+	subsT := make([]logderivlookup.Table, len(subs))
 	for i := range subs {
 		copy(subs[i], subsGlued[:len(subs[i])])
 		subsGlued = subsGlued[len(subs[i]):]
diff --git a/prover/circuits/prove.go b/prover/circuits/prove.go
index e8acad38..82e80ee3 100644
--- a/prover/circuits/prove.go
+++ b/prover/circuits/prove.go
@@ -86,7 +86,9 @@ func ProveCheck(setup *Setup, assignment frontend.Circuit, opts ...any) (plonk.P
 			assignment,
 			assignment,
 			setup.Circuit.Field(),
-			test.WithBackendProverOptions(proverOpts...),
+			// the test engine never accounted for passed in prover options, so
+			// we removed the option from gnark.
+			// test.WithBackendProverOptions(proverOpts...),
 		)
 		return nil, fmt.Errorf("while running the plonk prover: %w", errDetail)
 	}
diff --git a/prover/crypto/mimc/gkrmimc/finalgates.go b/prover/crypto/mimc/gkrmimc/finalgates.go
deleted file mode 100644
index 2f46361c..00000000
--- a/prover/crypto/mimc/gkrmimc/finalgates.go
+++ /dev/null
@@ -1,103 +0,0 @@
-package gkrmimc
-
-import (
-	"github.com/consensys/gnark/frontend"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/consensys/linea-monorepo/prover/utils"
-)
-
-// FinalRoundGate represents the last round in a gnark circuit
-//
-// It performs all the actions required to complete the compression function of
-// MiMC; including (1) the last application of the S-box x^17 as in the
-// intermediate rounds and then adds twice the initial state and once the block
-// to the result before returning.
-type FinalRoundGate struct {
-	Ark frontend.Variable
-}
-
-// NewFinalRoundGateGnark creates a new FinalRoundGate using the provided
-// round constant which should correspond to the final rounds's constant of
-// MiMC.
-func NewFinalRoundGateGnark(ark field.Element) FinalRoundGate {
-	return FinalRoundGate{
-		Ark: ark,
-	}
-}
-
-func (m FinalRoundGate) Evaluate(api frontend.API, input ...frontend.Variable) frontend.Variable {
-
-	if len(input) != 3 {
-		utils.Panic("expected fan-in of 3, got %v", len(input))
-	}
-
-	// Parse the inputs
-	initialState := input[0]
-	block := input[1]
-	currentState := input[2]
-
-	// Compute the S-box function
-	sum := api.Add(currentState, initialState, m.Ark)
-	sumPow16 := api.Mul(sum, sum)          // sum^2
-	sumPow16 = api.Mul(sumPow16, sumPow16) // sum^4
-	sumPow16 = api.Mul(sumPow16, sumPow16) // sum^8
-	sumPow16 = api.Mul(sumPow16, sumPow16) // sum^16
-	sum = api.Mul(sumPow16, sum)
-
-	// And add back the last values, following the Miyaguchi-Preneel
-	// construction.
-	return api.Add(sum, initialState, initialState, block)
-}
-
-func (m FinalRoundGate) Degree() int {
-	return 17
-}
-
-// FinalRoundGateCrypto represents the last round in the GKR circuit for MiMC.
-//
-// It performs all the actions required to complete the compression function of
-// MiMC; including (1) the last application of the S-box x^17 as in the
-// intermediate rounds and then adds twice the initial state and once the block
-// to the result before returning.
-type FinalRoundGateCrypto struct {
-	Ark field.Element
-}
-
-// NewFinalRoundGateCrypto creates a new MiMCCipherGate with the given parameters
-func NewFinalRoundGateCrypto(ark field.Element) FinalRoundGateCrypto {
-	return FinalRoundGateCrypto{
-		Ark: ark,
-	}
-}
-
-func (m FinalRoundGateCrypto) Evaluate(input ...field.Element) field.Element {
-
-	if len(input) != 3 {
-		utils.Panic("expected fan-in of 3, got %v", len(input))
-	}
-
-	// Parse the inputs
-	initialState := input[0]
-	block := input[1]
-	curr := input[2]
-
-	// Compute the S-box function
-	var sum, sumPow16 field.Element
-	sum.Add(&initialState, &curr).Add(&sum, &m.Ark)
-	sumPow16.Mul(&sum, &sum)
-	sumPow16.Mul(&sumPow16, &sumPow16)
-	sumPow16.Mul(&sumPow16, &sumPow16)
-	sumPow16.Mul(&sumPow16, &sumPow16)
-	sum.Mul(&sumPow16, &sum)
-
-	// And add back the last values, following the Miyaguchi-Preneel
-	// construction.
-	sum.Add(&sum, &initialState)
-	sum.Add(&sum, &initialState)
-	sum.Add(&sum, &block)
-	return sum
-}
-
-func (m FinalRoundGateCrypto) Degree() int {
-	return 17
-}
diff --git a/prover/crypto/mimc/gkrmimc/gkrcircuit.go b/prover/crypto/mimc/gkrmimc/gkrcircuit.go
index 3967d931..995ff295 100644
--- a/prover/crypto/mimc/gkrmimc/gkrcircuit.go
+++ b/prover/crypto/mimc/gkrmimc/gkrcircuit.go
@@ -1,19 +1,19 @@
 package gkrmimc
 
 import (
+	"fmt"
 	"strconv"
 	"strings"
 
-	cGkr "github.com/consensys/gnark-crypto/ecc/bls12-377/fr/gkr"
-	"github.com/consensys/gnark/constraint"
-	cs "github.com/consensys/gnark/constraint/bls12-377"
+	"github.com/consensys/gnark-crypto/ecc"
 	"github.com/consensys/gnark/constraint/solver"
+	"github.com/consensys/gnark/constraint/solver/gkrgates"
 	"github.com/consensys/gnark/frontend"
-	gGkr "github.com/consensys/gnark/std/gkr"
-	"github.com/consensys/gnark/std/hash"
-	gmimc "github.com/consensys/gnark/std/hash/mimc"
+	"github.com/consensys/gnark/std/gkrapi"
+	"github.com/consensys/gnark/std/gkrapi/gkr"
 	"github.com/consensys/gnark/std/multicommit"
 	"github.com/consensys/linea-monorepo/prover/crypto/mimc"
+	"github.com/consensys/linea-monorepo/prover/maths/field"
 	"github.com/consensys/linea-monorepo/prover/utils"
 	"github.com/sirupsen/logrus"
 )
@@ -21,22 +21,16 @@ import (
 var (
 	prefetchSize     = 4 // all layers before the "actual" MiMc round layers
 	numGates     int = prefetchSize + len(mimc.Constants)
-	gateNames    []string
+	gateNames    []gkr.GateName
 )
 
 func init() {
 	// Registers the names of the GKR gates into the global GKR registry.
 	createGateNames()
-	registerGates()
+	if err := registerGates(); err != nil {
+		panic(fmt.Errorf("failed to register gates: %w", err))
+	}
 
-	// Registers the mimc hash function in the hash builder registry.
-	hash.Register("mimc", func(api frontend.API) (hash.FieldHasher, error) {
-		h, err := gmimc.NewMiMC(api)
-		return &h, err
-	})
-
-	// Registers the hasher to be used in the GKR prover
-	cs.RegisterHashBuilder("mimc", mimc.NewMiMC)
 	solver.RegisterHint(mimcHintfunc)
 }
 
@@ -57,7 +51,7 @@ func createGateNames() {
 		nbDigits++
 	}
 
-	gateNames = make([]string, numGates)
+	gateNames = make([]gkr.GateName, numGates)
 
 	gateNames[0] = "input" // no name necessary. will map to nil. this is just for clarity
 	gateNames[1] = "input"
@@ -68,23 +62,42 @@ func createGateNames() {
 		var gateNameBuilder strings.Builder
 		gateNameBuilder.WriteString("mimc")
 		writePaddedHex(&gateNameBuilder, i, nbDigits)
-		gateNames[i] = gateNameBuilder.String()
+		gateNames[i] = gkr.GateName(gateNameBuilder.String())
 	}
 }
 
-// registerGates instantiates and populates the cGkr and gGkr global variables
+// registerGates instantiates and populates the cGkr and gkr global variables
 // which contains the "normal" and the "gnark" version of the GKR gates forming
 // the MiMC GKR circuit.
-func registerGates() {
+func registerGates() error {
+	const (
+		ROUND_GATE_NB_INPUTS = 2  // initial state and current state
+		FINAL_GATE_NB_INPUTS = 3  // initial state, block and current state
+		GATE_DEGREE          = 17 // MiMC S-box degree for BLS12-377
+	)
 	for i := 4; i < numGates-1; i++ {
-		name := gateNames[i]
-		gGkr.Gates[name] = NewRoundGateGnark(mimc.Constants[i-prefetchSize])
-		cGkr.Gates[name] = NewRoundGateCrypto(mimc.Constants[i-prefetchSize])
+		if err := gkrgates.Register(
+			RoundGate(mimc.Constants[i-prefetchSize]),
+			ROUND_GATE_NB_INPUTS,
+			gkrgates.WithName(gateNames[i]),
+			gkrgates.WithUnverifiedDegree(GATE_DEGREE),
+			gkrgates.WithCurves(ecc.BLS12_377),
+		); err != nil {
+			return fmt.Errorf("failed to register gate %s: %v", gateNames[i], err)
+		}
 	}
 
-	name := gateNames[numGates-1]
-	gGkr.Gates[name] = NewFinalRoundGateGnark(mimc.Constants[len(mimc.Constants)-1])
-	cGkr.Gates[name] = NewFinalRoundGateCrypto(mimc.Constants[len(mimc.Constants)-1])
+	if err := gkrgates.Register(
+		FinalRoundGate(mimc.Constants[len(mimc.Constants)-1]),
+		FINAL_GATE_NB_INPUTS,
+		gkrgates.WithName(gateNames[numGates-1]),
+		gkrgates.WithUnverifiedDegree(GATE_DEGREE),
+		gkrgates.WithCurves(ecc.BLS12_377),
+	); err != nil {
+		return fmt.Errorf("failed to register gate %s: %v", gateNames[numGates-1], err)
+	}
+
+	return nil
 }
 
 // gkrMiMC constructs and return the GKR circuit. The function is concretely
@@ -94,25 +107,25 @@ func registerGates() {
 // The returned object symbolizees the last layer of the GKR circuit and formally
 // contains the result of the MiMC block compression as computed by the GKR
 // circuit.
-func gkrMiMC(gkr *gGkr.API, initStates, blocks []frontend.Variable) (constraint.GkrVariable, error) {
+func gkrMiMC(gkrapi *gkrapi.API, initStates, blocks []frontend.Variable) (gkr.Variable, error) {
 
 	var err error
-	v := make([]constraint.GkrVariable, numGates-1)
-	if v[0], err = gkr.Import(initStates); err != nil {
+	v := make([]gkr.Variable, numGates-1)
+	if v[0], err = gkrapi.Import(initStates); err != nil {
 		panic(err)
 	}
-	if v[1], err = gkr.Import(blocks); err != nil {
+	if v[1], err = gkrapi.Import(blocks); err != nil {
 		panic(err)
 	}
 
-	v[2] = gkr.NamedGate("identity", v[0])
-	v[3] = gkr.NamedGate("identity", v[1])
+	v[2] = gkrapi.NamedGate("identity", v[0])
+	v[3] = gkrapi.NamedGate("identity", v[1])
 
 	for i := 4; i < numGates-1; i++ {
-		v[i] = gkr.NamedGate(gateNames[i], v[2], v[i-1])
+		v[i] = gkrapi.NamedGate(gateNames[i], v[2], v[i-1])
 	}
 
-	res := gkr.NamedGate(gateNames[numGates-1], v[2], v[3], v[numGates-2])
+	res := gkrapi.NamedGate(gateNames[numGates-1], v[2], v[3], v[numGates-2])
 
 	return res, nil
 }
@@ -126,7 +139,7 @@ func gkrMiMC(gkr *gGkr.API, initStates, blocks []frontend.Variable) (constraint.
 // instances are the inner indexes
 func checkWithGkr(api frontend.API, initStates, blocks, allegedNewState []frontend.Variable) {
 
-	gkr := gGkr.NewApi()
+	gkr := gkrapi.New()
 
 	D, err := gkrMiMC(gkr, initStates, blocks)
 	if err != nil {
@@ -134,7 +147,7 @@ func checkWithGkr(api frontend.API, initStates, blocks, allegedNewState []fronte
 	}
 
 	// This creates a placeholder that will contain the GKR assignment
-	var solution gGkr.Solution
+	var solution gkrapi.Solution
 	if solution, err = gkr.Solve(api); err != nil {
 		panic(err)
 	}
@@ -150,9 +163,9 @@ func checkWithGkr(api frontend.API, initStates, blocks, allegedNewState []fronte
 		func(api frontend.API, initialChallenge frontend.Variable) error {
 			logrus.Infof("defining the constraints of the GKR verifier")
 
-			// "mimc" means that we are using MiMC hashes to compute the FS challenges
+			// "MIMC" means that we are using MiMC hashes to compute the FS challenges
 			// this part is responsible for verifying the GKR proof.
-			err = solution.Verify("mimc", initialChallenge)
+			err = solution.Verify("MIMC", initialChallenge)
 			if err != nil {
 				panic(err)
 			}
@@ -176,3 +189,61 @@ func checkWithGkr(api frontend.API, initStates, blocks, allegedNewState []fronte
 	)
 
 }
+
+// RoundGate represents a normal round of gkr (i.e. any round except for the
+// first and last ones). It represents the computation of the S-box of MiMC
+//
+//	(curr + init + ark)^17
+//
+// This struct is meant to be used to represent the GKR gate within a gnark
+// circuit and is used for the verifier part of GKR.
+func RoundGate(ark field.Element) gkr.GateFunction {
+	return func(api gkr.GateAPI, input ...frontend.Variable) frontend.Variable {
+		if len(input) != 2 {
+			panic("mimc has fan-in 2")
+		}
+
+		initialState := input[0]
+		curr := input[1]
+
+		// Compute the s-box (curr + init + ark)^17
+		sum := api.Add(curr, initialState, ark)
+
+		sumPow16 := api.Mul(sum, sum)          // sum^2
+		sumPow16 = api.Mul(sumPow16, sumPow16) // sum^4
+		sumPow16 = api.Mul(sumPow16, sumPow16) // sum^8
+		sumPow16 = api.Mul(sumPow16, sumPow16) // sum^16
+		return api.Mul(sumPow16, sum)
+	}
+}
+
+// FinalRoundGate represents the last round in a gnark circuit
+//
+// It performs all the actions required to complete the compression function of
+// MiMC; including (1) the last application of the S-box x^17 as in the
+// intermediate rounds and then adds twice the initial state and once the block
+// to the result before returning.
+func FinalRoundGate(ark field.Element) gkr.GateFunction {
+	return func(api gkr.GateAPI, input ...frontend.Variable) frontend.Variable {
+		if len(input) != 3 {
+			utils.Panic("expected fan-in of 3, got %v", len(input))
+		}
+
+		// Parse the inputs
+		initialState := input[0]
+		block := input[1]
+		currentState := input[2]
+
+		// Compute the S-box function
+		sum := api.Add(currentState, initialState, ark)
+		sumPow16 := api.Mul(sum, sum)          // sum^2
+		sumPow16 = api.Mul(sumPow16, sumPow16) // sum^4
+		sumPow16 = api.Mul(sumPow16, sumPow16) // sum^8
+		sumPow16 = api.Mul(sumPow16, sumPow16) // sum^16
+		sum = api.Mul(sumPow16, sum)
+
+		// And add back the last values, following the Miyaguchi-Preneel
+		// construction.
+		return api.Add(sum, initialState, initialState, block)
+	}
+}
diff --git a/prover/crypto/mimc/gkrmimc/normalgates.go b/prover/crypto/mimc/gkrmimc/normalgates.go
deleted file mode 100644
index 9cac4fe2..00000000
--- a/prover/crypto/mimc/gkrmimc/normalgates.go
+++ /dev/null
@@ -1,87 +0,0 @@
-package gkrmimc
-
-import (
-	"github.com/consensys/gnark/frontend"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-)
-
-// RoundGate represents a normal round of gkr (i.e. any round except for the
-// first and last ones). It represents the computation of the S-box of MiMC
-//
-//	(curr + init + ark)^17
-//
-// This struct is meant to be used to represent the GKR gate within a gnark
-// circuit and is used for the verifier part of GKR.
-type RoundGate struct {
-	Ark frontend.Variable
-}
-
-// NewRoundGateGnark creates a new RoundGate using the provided round constant
-func NewRoundGateGnark(ark field.Element) *RoundGate {
-	return &RoundGate{
-		Ark: ark,
-	}
-}
-
-func (m RoundGate) Evaluate(api frontend.API, input ...frontend.Variable) frontend.Variable {
-
-	if len(input) != 2 {
-		panic("mimc has fan-in 2")
-	}
-
-	initialState := input[0]
-	curr := input[1]
-
-	// Compute the s-box (curr + init + ark)^17
-	sum := api.Add(curr, initialState, m.Ark)
-
-	sumPow16 := api.Mul(sum, sum)          // sum^2
-	sumPow16 = api.Mul(sumPow16, sumPow16) // sum^4
-	sumPow16 = api.Mul(sumPow16, sumPow16) // sum^8
-	sumPow16 = api.Mul(sumPow16, sumPow16) // sum^16
-	return api.Mul(sumPow16, sum)
-}
-
-func (m RoundGate) Degree() int {
-	return 17
-}
-
-// RoundGate represents a normal round of gkr (i.e. any round except for the
-// first and last ones). It represents the computation of the S-box of MiMC
-//
-//	(curr + init + ark)^17
-//
-// This struct is meant to be used for the prover part of GKR
-type RoundGateCrypto struct {
-	Ark field.Element
-}
-
-// NewRoundGateCrypto construct a new instance of a [RoundGate] with the
-// caller-supplied round constant `ark`
-func NewRoundGateCrypto(ark field.Element) *RoundGateCrypto {
-	return &RoundGateCrypto{Ark: ark}
-}
-
-func (m RoundGateCrypto) Evaluate(inputs ...field.Element) field.Element {
-
-	if len(inputs) != 2 {
-		panic("mimc has fan-in 2")
-	}
-
-	initialState := inputs[0]
-	curr := inputs[1]
-
-	var sum, sumPow16 field.Element
-	sum.Add(&initialState, &curr).Add(&sum, &m.Ark)
-	sumPow16.Mul(&sum, &sum)
-	sumPow16.Mul(&sumPow16, &sumPow16)
-	sumPow16.Mul(&sumPow16, &sumPow16)
-	sumPow16.Mul(&sumPow16, &sumPow16)
-	sum.Mul(&sumPow16, &sum)
-
-	return sum
-}
-
-func (m RoundGateCrypto) Degree() int {
-	return 17
-}
diff --git a/prover/crypto/ringsis/.gitignore b/prover/crypto/ringsis/.gitignore
new file mode 100644
index 00000000..8f405155
--- /dev/null
+++ b/prover/crypto/ringsis/.gitignore
@@ -0,0 +1 @@
+**/*.txt
diff --git a/prover/crypto/ringsis/gen.go b/prover/crypto/ringsis/gen.go
deleted file mode 100644
index 781d4154..00000000
--- a/prover/crypto/ringsis/gen.go
+++ /dev/null
@@ -1,5 +0,0 @@
-package ringsis
-
-//go:generate go run ./templates --logTwoBound=16 --modulusDegree=64
-//go:generate go run ./templates --logTwoBound=8 --modulusDegree=64
-//go:generate go run ./templates --logTwoBound=8 --modulusDegree=32
diff --git a/prover/crypto/ringsis/ringis.go b/prover/crypto/ringsis/ringis.go
index 64aae25f..f45f459c 100644
--- a/prover/crypto/ringsis/ringis.go
+++ b/prover/crypto/ringsis/ringis.go
@@ -1,24 +1,10 @@
 package ringsis
 
 import (
-	"bytes"
-	"encoding/binary"
-	"io"
-	"math"
-	"runtime"
-	"sync"
-
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr"
 	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
 	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/sis"
-	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
 	"github.com/consensys/linea-monorepo/prover/maths/field"
 	"github.com/consensys/linea-monorepo/prover/utils"
-	"github.com/consensys/linea-monorepo/prover/utils/parallel"
-
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis/ringsis_32_8"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis/ringsis_64_16"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis/ringsis_64_8"
 )
 
 const (
@@ -29,21 +15,12 @@ const (
 // Key encapsulates the public parameters of an instance of the ring-SIS hash
 // instance.
 type Key struct {
-	// lock guards the access to the SIS key and prevents the user from hashing
-	// concurrently with the same SIS key.
-	lock *sync.Mutex
 	// gnarkInternal stores the SIS key itself and some precomputed domain
 	// twiddles.
 	gnarkInternal *sis.RSis
 	// Params provides the parameters of the ring-SIS instance (logTwoBound,
 	// degree etc)
 	Params
-	// twiddleCosets stores the list of twiddles that we use to implement the
-	// SIS parameters. The twiddleAreInternally are only used when dealing with
-	// the parameters modulusDegree=64 and logTwoBound=8 and is passed as input
-	// to the specially unrolled [sis.FFT64] function. They are thus optionally
-	// constructed when [GenerateKey] is called.
-	twiddleCosets []field.Element
 }
 
 // GenerateKey generates a ring-SIS key from a set of a [Params] and a max
@@ -62,33 +39,10 @@ func GenerateKey(params Params, maxNumFieldToHash int) Key {
 	}
 
 	res := Key{
-		lock:          &sync.Mutex{},
 		gnarkInternal: rsis,
 		Params:        params,
 	}
 
-	// Optimization for these specific parameters
-	if params.LogTwoBound == 8 && 1<<params.LogTwoDegree == 64 {
-		res.twiddleCosets = ringsis_64_8.PrecomputeTwiddlesCoset(
-			rsis.Domain.Generator,
-			rsis.Domain.FrMultiplicativeGen,
-		)
-	}
-
-	if params.LogTwoBound == 16 && 1<<params.LogTwoDegree == 64 {
-		res.twiddleCosets = ringsis_64_16.PrecomputeTwiddlesCoset(
-			rsis.Domain.Generator,
-			rsis.Domain.FrMultiplicativeGen,
-		)
-	}
-
-	if params.LogTwoBound == 8 && 1<<params.LogTwoDegree == 32 {
-		res.twiddleCosets = ringsis_32_8.PrecomputeTwiddlesCoset(
-			rsis.Domain.Generator,
-			rsis.Domain.FrMultiplicativeGen,
-		)
-	}
-
 	return res
 }
 
@@ -104,55 +58,32 @@ func (s *Key) Ag() [][]field.Element {
 // It is equivalent to calling r.Write(element.Marshal()); outBytes = r.Sum(nil);
 func (s *Key) Hash(v []field.Element) []field.Element {
 
-	// since hashing writes into internal buffers
-	// we need to guard against races conditions.
-	s.lock.Lock()
-	defer s.lock.Unlock()
-
 	// write the input as byte
-	s.gnarkInternal.Reset()
-	for i := range v {
-		_, err := s.gnarkInternal.Write(v[i].Marshal())
-		if err != nil {
-			panic(err)
-		}
-	}
-	sum := s.gnarkInternal.Sum(make([]byte, 0, field.Bytes*s.OutputSize()))
-
-	// unmarshal the result
-	var rlen [4]byte
-	if len(sum) > math.MaxUint32*fr.Bytes {
-		panic("slice too long")
-	}
-	binary.BigEndian.PutUint32(rlen[:], uint32(len(sum)/fr.Bytes)) // #nosec G115 -- Overflow checked
-	reader := io.MultiReader(bytes.NewReader(rlen[:]), bytes.NewReader(sum))
-	var result fr.Vector
-	_, err := result.ReadFrom(reader)
-	if err != nil {
+	sum := make([]field.Element, s.OutputSize())
+	if err := s.gnarkInternal.Hash(v, sum); err != nil {
 		panic(err)
 	}
-
-	return result
+	return sum
 }
 
 // LimbSplit breaks down the entries of `v` into short limbs representing
 // `LogTwoBound` bits each. The function then flatten and flatten them in a
-// vector, casted as field elements in Montgommery form.
+// vector, casted as field elements in Montgomery form.
 func (s *Key) LimbSplit(vReg []field.Element) []field.Element {
-
-	writer := bytes.Buffer{}
-	for i := range vReg {
-		b := vReg[i].Bytes() // big endian serialization
-		writer.Write(b[:])
-	}
-
-	buf := writer.Bytes()
 	m := make([]field.Element, len(vReg)*s.NumLimbs())
-	sis.LimbDecomposeBytes(buf, m, s.LogTwoBound)
+
+	it := sis.NewLimbIterator(sis.NewVectorIterator(vReg), s.LogTwoBound/8)
 
 	// The limbs are in regular form, we reconvert them back into montgommery
 	// form
+	var ok bool
 	for i := range m {
+		m[i][0], ok = it.NextLimb()
+		if !ok {
+			// the rest is 0 we can stop (note that if we change the padding
+			// policy we may need to change this)
+			break
+		}
 		m[i] = field.MulR(m[i])
 	}
 
@@ -256,111 +187,3 @@ func (s *Key) FlattenedKey() []field.Element {
 	}
 	return res
 }
-
-// TransversalHash evaluates SIS hashes transversally over a list of smart-vectors.
-// Each smart-vector is seen as the row of a matrix. All rows must have the same
-// size or panic. The function returns the hash of the columns. The column hashes
-// are concatenated into a single array.
-//
-// The function is optimize to deal with the ring-SIS instances parametrized by
-//
-//   - modulus degree: 	64  log2(bound): 	8
-//   - modulus degree: 	64  log2(bound): 	16
-//   - modulus degree: 	32  log2(bound): 	8
-func (s *Key) TransversalHash(v []smartvectors.SmartVector) []field.Element {
-
-	// numRows stores the number of rows in the matrix to hash it must be
-	// strictly positive and be within the bounds of MaxNumFieldHashable.
-	numRows := len(v)
-
-	if numRows == 0 {
-		utils.Panic("Attempted to transversally hash a matrix with no rows")
-	}
-
-	if numRows > s.MaxNumFieldHashable() {
-		utils.Panic("Attempted to hash %v rows, but the limit is %v", numRows, s.MaxNumFieldHashable())
-	}
-
-	// numCols stores the number of columns in the matrix to hash et must be
-	// positive and all the rows must have the same size.
-	numCols := v[0].Len()
-
-	if numCols == 0 {
-		utils.Panic("Provided a 0-colums matrix")
-	}
-
-	for i := range v {
-		if v[i].Len() != numCols {
-			utils.Panic("Unexpected : all inputs smart-vectors should have the same length the first one has length %v, but #%v has length %v",
-				numCols, i, v[i].Len())
-		}
-	}
-
-	if s.LogTwoBound == 8 && s.LogTwoDegree == 6 {
-		return ringsis_64_8.TransversalHash(
-			s.gnarkInternal.Ag,
-			v,
-			s.twiddleCosets,
-			s.gnarkInternal.Domain,
-		)
-	}
-
-	if s.LogTwoBound == 16 && s.LogTwoDegree == 6 {
-		return ringsis_64_16.TransversalHash(
-			s.gnarkInternal.Ag,
-			v,
-			s.twiddleCosets,
-			s.gnarkInternal.Domain,
-		)
-	}
-
-	if s.LogTwoBound == 8 && s.LogTwoDegree == 5 {
-		return ringsis_32_8.TransversalHash(
-			s.gnarkInternal.Ag,
-			v,
-			s.twiddleCosets,
-			s.gnarkInternal.Domain,
-		)
-	}
-
-	res := make([]field.Element, numCols*s.OutputSize())
-
-	// Will contain keys per threads
-	keys := make([]*Key, runtime.GOMAXPROCS(0))
-	buffers := make([][]field.Element, runtime.GOMAXPROCS(0))
-
-	parallel.ExecuteThreadAware(
-		numCols,
-		func(threadID int) {
-			keys[threadID] = s.CopyWithFreshBuffer()
-			buffers[threadID] = make([]field.Element, numRows)
-		},
-		func(col, threadID int) {
-			buffer := buffers[threadID]
-			key := keys[threadID]
-			for row := 0; row < numRows; row++ {
-				buffer[row] = v[row].Get(col)
-			}
-			copy(res[col*key.OutputSize():(col+1)*key.OutputSize()], key.Hash(buffer))
-		})
-
-	return res
-}
-
-// CopyWithFreshBuffer creates a copy of the key with fresh buffers. Shallow
-// copies the the key itself.
-func (s *Key) CopyWithFreshBuffer() *Key {
-
-	// Since hashing consumes and mutates the buffer stored internally in
-	// `gnarkInternal` go race had figured there might be a race condition
-	// possibility.
-	s.lock.Lock()
-	defer s.lock.Unlock()
-
-	clonedRsis := s.gnarkInternal.CopyWithFreshBuffer()
-	return &Key{
-		lock:          &sync.Mutex{},
-		gnarkInternal: &clonedRsis,
-		Params:        s.Params,
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_32_8/limb_decompose_test.go b/prover/crypto/ringsis/ringsis_32_8/limb_decompose_test.go
deleted file mode 100644
index 7cfe3c2a..00000000
--- a/prover/crypto/ringsis/ringsis_32_8/limb_decompose_test.go
+++ /dev/null
@@ -1,44 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_32_8
-
-import (
-	"math/big"
-	"math/rand/v2"
-	"testing"
-
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/assert"
-)
-
-func TestLimbDecompose(t *testing.T) {
-
-	var (
-		limbs         = make([]int64, 32)
-		rng           = rand.New(rand.NewChaCha8([32]byte{}))
-		inputs        = make([]field.Element, 1)
-		obtainedLimbs = make([]field.Element, 32)
-	)
-
-	for i := range limbs {
-		if i%32 > 31 {
-			limbs[i] = int64(rng.IntN(1 << 8))
-		}
-	}
-
-	for i := 0; i < 1; i++ {
-		buf := &big.Int{}
-		for j := 30; j >= 0; j-- {
-			buf.Mul(buf, big.NewInt(1<<8))
-			tmp := new(big.Int).SetInt64(limbs[32*i+j])
-			buf.Add(buf, tmp)
-		}
-		inputs[i].SetBigInt(buf)
-	}
-
-	limbDecompose(obtainedLimbs, inputs)
-
-	for i := range obtainedLimbs {
-		assert.Equal(t, uint64(limbs[i]), obtainedLimbs[i][0])
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_32_8/partial_fft.go b/prover/crypto/ringsis/ringsis_32_8/partial_fft.go
deleted file mode 100644
index 6d621788..00000000
--- a/prover/crypto/ringsis/ringsis_32_8/partial_fft.go
+++ /dev/null
@@ -1,178 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_32_8
-
-import (
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-)
-
-var partialFFT = []func(a, twiddles []field.Element){
-	partialFFT_0,
-	partialFFT_1,
-}
-
-func partialFFT_0(a, twiddles []field.Element) {
-}
-
-func partialFFT_1(a, twiddles []field.Element) {
-	a[16].Mul(&a[16], &twiddles[0])
-	a[17].Mul(&a[17], &twiddles[0])
-	a[18].Mul(&a[18], &twiddles[0])
-	a[19].Mul(&a[19], &twiddles[0])
-	a[20].Mul(&a[20], &twiddles[0])
-	a[21].Mul(&a[21], &twiddles[0])
-	a[22].Mul(&a[22], &twiddles[0])
-	a[23].Mul(&a[23], &twiddles[0])
-	a[24].Mul(&a[24], &twiddles[0])
-	a[25].Mul(&a[25], &twiddles[0])
-	a[26].Mul(&a[26], &twiddles[0])
-	a[27].Mul(&a[27], &twiddles[0])
-	a[28].Mul(&a[28], &twiddles[0])
-	a[29].Mul(&a[29], &twiddles[0])
-	a[30].Mul(&a[30], &twiddles[0])
-	a[31].Mul(&a[31], &twiddles[0])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	a[8].Mul(&a[8], &twiddles[1])
-	a[9].Mul(&a[9], &twiddles[1])
-	a[10].Mul(&a[10], &twiddles[1])
-	a[11].Mul(&a[11], &twiddles[1])
-	a[12].Mul(&a[12], &twiddles[1])
-	a[13].Mul(&a[13], &twiddles[1])
-	a[14].Mul(&a[14], &twiddles[1])
-	a[15].Mul(&a[15], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[2])
-	a[25].Mul(&a[25], &twiddles[2])
-	a[26].Mul(&a[26], &twiddles[2])
-	a[27].Mul(&a[27], &twiddles[2])
-	a[28].Mul(&a[28], &twiddles[2])
-	a[29].Mul(&a[29], &twiddles[2])
-	a[30].Mul(&a[30], &twiddles[2])
-	a[31].Mul(&a[31], &twiddles[2])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	a[4].Mul(&a[4], &twiddles[3])
-	a[5].Mul(&a[5], &twiddles[3])
-	a[6].Mul(&a[6], &twiddles[3])
-	a[7].Mul(&a[7], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[4])
-	a[13].Mul(&a[13], &twiddles[4])
-	a[14].Mul(&a[14], &twiddles[4])
-	a[15].Mul(&a[15], &twiddles[4])
-	a[20].Mul(&a[20], &twiddles[5])
-	a[21].Mul(&a[21], &twiddles[5])
-	a[22].Mul(&a[22], &twiddles[5])
-	a[23].Mul(&a[23], &twiddles[5])
-	a[28].Mul(&a[28], &twiddles[6])
-	a[29].Mul(&a[29], &twiddles[6])
-	a[30].Mul(&a[30], &twiddles[6])
-	a[31].Mul(&a[31], &twiddles[6])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	a[2].Mul(&a[2], &twiddles[7])
-	a[3].Mul(&a[3], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[8])
-	a[7].Mul(&a[7], &twiddles[8])
-	a[10].Mul(&a[10], &twiddles[9])
-	a[11].Mul(&a[11], &twiddles[9])
-	a[14].Mul(&a[14], &twiddles[10])
-	a[15].Mul(&a[15], &twiddles[10])
-	a[18].Mul(&a[18], &twiddles[11])
-	a[19].Mul(&a[19], &twiddles[11])
-	a[22].Mul(&a[22], &twiddles[12])
-	a[23].Mul(&a[23], &twiddles[12])
-	a[26].Mul(&a[26], &twiddles[13])
-	a[27].Mul(&a[27], &twiddles[13])
-	a[30].Mul(&a[30], &twiddles[14])
-	a[31].Mul(&a[31], &twiddles[14])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	a[1].Mul(&a[1], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[16])
-	a[5].Mul(&a[5], &twiddles[17])
-	a[7].Mul(&a[7], &twiddles[18])
-	a[9].Mul(&a[9], &twiddles[19])
-	a[11].Mul(&a[11], &twiddles[20])
-	a[13].Mul(&a[13], &twiddles[21])
-	a[15].Mul(&a[15], &twiddles[22])
-	a[17].Mul(&a[17], &twiddles[23])
-	a[19].Mul(&a[19], &twiddles[24])
-	a[21].Mul(&a[21], &twiddles[25])
-	a[23].Mul(&a[23], &twiddles[26])
-	a[25].Mul(&a[25], &twiddles[27])
-	a[27].Mul(&a[27], &twiddles[28])
-	a[29].Mul(&a[29], &twiddles[29])
-	a[31].Mul(&a[31], &twiddles[30])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-}
diff --git a/prover/crypto/ringsis/ringsis_32_8/partial_fft_test.go b/prover/crypto/ringsis/ringsis_32_8/partial_fft_test.go
deleted file mode 100644
index 9223ec59..00000000
--- a/prover/crypto/ringsis/ringsis_32_8/partial_fft_test.go
+++ /dev/null
@@ -1,55 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_32_8
-
-import (
-	"testing"
-
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/assert"
-)
-
-func TestPartialFFT(t *testing.T) {
-
-	var (
-		domain   = fft.NewDomain(32)
-		twiddles = PrecomputeTwiddlesCoset(domain.Generator, domain.FrMultiplicativeGen)
-	)
-
-	for mask := 0; mask < 2; mask++ {
-
-		var (
-			a = vec123456()
-			b = vec123456()
-		)
-
-		zeroizeWithMask(a, mask)
-		zeroizeWithMask(b, mask)
-
-		domain.FFT(a, fft.DIF, fft.OnCoset())
-		partialFFT[mask](b, twiddles)
-		assert.Equal(t, a, b)
-	}
-
-}
-
-func vec123456() []field.Element {
-	vec := make([]field.Element, 32)
-	for i := range vec {
-		vec[i].SetInt64(int64(i))
-	}
-	return vec
-}
-
-func zeroizeWithMask(v []field.Element, mask int) {
-	for i := 0; i < 1; i++ {
-		if (mask>>i)&1 == 1 {
-			continue
-		}
-
-		for j := 0; j < 32; j++ {
-			v[32*i+j].SetZero()
-		}
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_32_8/transversal_hash.go b/prover/crypto/ringsis/ringsis_32_8/transversal_hash.go
deleted file mode 100644
index 3a65f640..00000000
--- a/prover/crypto/ringsis/ringsis_32_8/transversal_hash.go
+++ /dev/null
@@ -1,204 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_32_8
-
-import (
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
-	"github.com/consensys/linea-monorepo/prover/maths/common/vector"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/consensys/linea-monorepo/prover/utils"
-	"github.com/consensys/linea-monorepo/prover/utils/parallel"
-	ppool "github.com/consensys/linea-monorepo/prover/utils/parallel/pool"
-)
-
-func TransversalHash(
-	// the Ag for ring-sis
-	ag [][]field.Element,
-	// A non-transposed list of columns
-	// All of the same length
-	pols []smartvectors.SmartVector,
-	// The precomputed twiddle cosets for the forward FFT
-	twiddleCosets []field.Element,
-	// The domain for the final inverse-FFT
-	domain *fft.Domain,
-) []field.Element {
-
-	var (
-		// Each field element is encoded in 32 limbs but the degree is 32. So, each
-		// polynomial multiplication "hashes" 1 field elements at once. This is
-		// important to know for parallelization.
-		resultSize = pols[0].Len() * 32
-
-		// To optimize memory usage, we limit ourself to hash only 16 columns per
-		// iteration.
-		numColumnPerJob int = 16
-
-		// In theory, it should be a div ceil. But in practice we only process power's
-		// of two number of columns. If that's not the case, then the function will panic
-		// but we can always change that if this is needed. The rational for the current
-		// design is simplicity.
-		numJobs = utils.DivExact(pols[0].Len(), numColumnPerJob) // we make blocks of 16 columns
-
-		// Main result of the hashing
-		mainResults = make([]field.Element, resultSize)
-		// When we encounter a const row, it will have the same additive contribution
-		// to the result on every column. So we compute the contribution only once and
-		// accumulate it with the other "constant column contributions". And it is only
-		// performed by the first thread.
-		constResults = make([]field.Element, 32)
-	)
-
-	ppool.ExecutePoolChunky(numJobs, func(i int) {
-		// We process the columns per segment of `numColumnPerJob`
-		var (
-			localResult = make([]field.Element, numColumnPerJob*32)
-			limbs       = make([]field.Element, 32)
-
-			// Each segment is processed by packet of `numFieldPerPoly=1` rows
-			startFromCol = i * numColumnPerJob
-			stopAtCol    = (i + 1) * numColumnPerJob
-		)
-
-		for row := 0; row < len(pols); row += 1 {
-
-			var (
-				chunksFull = make([][]field.Element, 1)
-				mask       = 0
-			)
-
-			for j := 0; j < 1; j++ {
-				if row+j >= len(pols) {
-					continue
-				}
-
-				pReg, pIsReg := pols[row+j].(*smartvectors.Regular)
-				if pIsReg {
-					chunksFull[j] = (*pReg)[startFromCol:stopAtCol]
-					mask |= (1 << j)
-					continue
-				}
-
-				pPool, pIsPool := pols[row+j].(*smartvectors.Pooled)
-				if pIsPool {
-					chunksFull[j] = pPool.Regular[startFromCol:stopAtCol]
-					mask |= (1 << j)
-					continue
-				}
-			}
-
-			if mask > 0 {
-				for col := 0; col < (stopAtCol - startFromCol); col++ {
-					colChunk := [1]field.Element{}
-					for j := 0; j < 1; j++ {
-						if chunksFull[j] != nil {
-							colChunk[j] = chunksFull[j][col]
-						}
-					}
-
-					limbDecompose(limbs, colChunk[:])
-					partialFFT[mask](limbs, twiddleCosets)
-					mulModAcc(localResult[col*32:(col+1)*32], limbs, ag[row/1])
-				}
-			}
-
-			if i == 0 {
-
-				var (
-					cMask      = ((1 << 1) - 1) ^ mask
-					chunkConst = make([]field.Element, 1)
-				)
-
-				if cMask > 0 {
-					for j := 0; j < 1; j++ {
-						if row+j >= len(pols) {
-							continue
-						}
-
-						if (cMask>>j)&1 == 1 {
-							chunkConst[j] = pols[row+j].(*smartvectors.Constant).Get(0)
-						}
-					}
-
-					limbDecompose(limbs, chunkConst)
-					partialFFT[cMask](limbs, twiddleCosets)
-					mulModAcc(constResults, limbs, ag[row/1])
-				}
-			}
-		}
-
-		// copy the segment into the main result at the end
-		copy(mainResults[startFromCol*32:stopAtCol*32], localResult)
-	})
-
-	// Now, we need to reconciliate the results of the buffer with
-	// the result for each thread
-	parallel.Execute(pols[0].Len(), func(start, stop int) {
-		for col := start; col < stop; col++ {
-			// Accumulate the const
-			vector.Add(mainResults[col*32:(col+1)*32], mainResults[col*32:(col+1)*32], constResults)
-			// And run the reverse FFT
-			domain.FFTInverse(mainResults[col*32:(col+1)*32], fft.DIT, fft.OnCoset(), fft.WithNbTasks(1))
-		}
-	})
-
-	return mainResults
-}
-
-var _zeroes []field.Element = make([]field.Element, 32)
-
-// zeroize fills `buf` with zeroes.
-func zeroize(buf []field.Element) {
-	copy(buf, _zeroes)
-}
-
-// mulModAdd increments each entry `i` of `res` as `res[i] = a[i] * b[i]`. The
-// input vectors are trusted to all have the same length.
-func mulModAcc(res, a, b []field.Element) {
-	var tmp field.Element
-	for i := range res {
-		tmp.Mul(&a[i], &b[i])
-		res[i].Add(&res[i], &tmp)
-	}
-}
-
-func limbDecompose(result []field.Element, x []field.Element) {
-
-	zeroize(result)
-	var bytesBuffer = [32]byte{}
-
-	bytesBuffer = x[0].Bytes()
-
-	result[31][0] = uint64(bytesBuffer[0])
-	result[30][0] = uint64(bytesBuffer[1])
-	result[29][0] = uint64(bytesBuffer[2])
-	result[28][0] = uint64(bytesBuffer[3])
-	result[27][0] = uint64(bytesBuffer[4])
-	result[26][0] = uint64(bytesBuffer[5])
-	result[25][0] = uint64(bytesBuffer[6])
-	result[24][0] = uint64(bytesBuffer[7])
-	result[23][0] = uint64(bytesBuffer[8])
-	result[22][0] = uint64(bytesBuffer[9])
-	result[21][0] = uint64(bytesBuffer[10])
-	result[20][0] = uint64(bytesBuffer[11])
-	result[19][0] = uint64(bytesBuffer[12])
-	result[18][0] = uint64(bytesBuffer[13])
-	result[17][0] = uint64(bytesBuffer[14])
-	result[16][0] = uint64(bytesBuffer[15])
-	result[15][0] = uint64(bytesBuffer[16])
-	result[14][0] = uint64(bytesBuffer[17])
-	result[13][0] = uint64(bytesBuffer[18])
-	result[12][0] = uint64(bytesBuffer[19])
-	result[11][0] = uint64(bytesBuffer[20])
-	result[10][0] = uint64(bytesBuffer[21])
-	result[9][0] = uint64(bytesBuffer[22])
-	result[8][0] = uint64(bytesBuffer[23])
-	result[7][0] = uint64(bytesBuffer[24])
-	result[6][0] = uint64(bytesBuffer[25])
-	result[5][0] = uint64(bytesBuffer[26])
-	result[4][0] = uint64(bytesBuffer[27])
-	result[3][0] = uint64(bytesBuffer[28])
-	result[2][0] = uint64(bytesBuffer[29])
-	result[1][0] = uint64(bytesBuffer[30])
-	result[0][0] = uint64(bytesBuffer[31])
-}
diff --git a/prover/crypto/ringsis/ringsis_32_8/transversal_hash_test.go b/prover/crypto/ringsis/ringsis_32_8/transversal_hash_test.go
deleted file mode 100644
index d1e2df41..00000000
--- a/prover/crypto/ringsis/ringsis_32_8/transversal_hash_test.go
+++ /dev/null
@@ -1,114 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_32_8_test
-
-import (
-	"fmt"
-	"math/rand/v2"
-	"testing"
-
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis/ringsis_32_8"
-	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
-	"github.com/consensys/linea-monorepo/prover/maths/common/vector"
-	wfft "github.com/consensys/linea-monorepo/prover/maths/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/require"
-)
-
-// randomConstRow generates a random constant smart-vector
-func randomConstRow(rng *rand.Rand, size int) smartvectors.SmartVector {
-	return smartvectors.NewConstant(field.PseudoRand(rng), size)
-}
-
-// randomRegularRow generates a random regular smart-vector
-func randomRegularRow(rng *rand.Rand, size int) smartvectors.SmartVector {
-	return smartvectors.PseudoRand(rng, size)
-}
-
-// generate a smartvector row-matrix by using randomly constant or regular smart-vectors
-func fullyRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors.SmartVector {
-	list := make([]smartvectors.SmartVector, numRow)
-	for i := range list {
-		coin := rng.IntN(2)
-		switch {
-		case coin == 0:
-			list[i] = randomConstRow(rng, numCols)
-		case coin == 1:
-			list[i] = randomRegularRow(rng, numCols)
-		}
-	}
-	return list
-}
-
-func constantRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors.SmartVector {
-	list := make([]smartvectors.SmartVector, numRow)
-	for i := range list {
-		list[i] = randomConstRow(rng, numCols)
-	}
-	return list
-}
-
-func regularRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors.SmartVector {
-	list := make([]smartvectors.SmartVector, numRow)
-	for i := range list {
-		list[i] = randomConstRow(rng, numCols)
-	}
-	return list
-}
-
-func TestSmartVectorTransversalSisHash(t *testing.T) {
-
-	var (
-		numReps   = 64
-		numCols   = 16
-		rng       = rand.New(rand.NewChaCha8([32]byte{}))
-		domain    = fft.NewDomain(32, fft.WithShift(wfft.GetOmega(32*2)))
-		twiddles  = ringsis_32_8.PrecomputeTwiddlesCoset(domain.Generator, domain.FrMultiplicativeGen)
-		params    = ringsis.Params{LogTwoBound: 8, LogTwoDegree: 5}
-		testCases = [][]smartvectors.SmartVector{
-			constantRandomTestVector(rng, 1, numCols),
-			regularRandomTestVector(rng, 1, numCols),
-		}
-	)
-
-	for i := 0; i < numReps; i++ {
-		testCases = append(testCases, fullyRandomTestVector(rng, 1, numCols))
-	}
-
-	for i := 0; i < numReps; i++ {
-		testCases = append(testCases, fullyRandomTestVector(rng, 4, 2*numCols))
-	}
-
-	for i, c := range testCases {
-		t.Run(fmt.Sprintf("testcase-%v", i), func(t *testing.T) {
-
-			var (
-				numRow = len(c)
-				key    = ringsis.GenerateKey(params, numRow)
-				result = ringsis_32_8.TransversalHash(
-					key.Ag(),
-					c,
-					twiddles,
-					domain,
-				)
-			)
-
-			for col := 0; col < numCols; col++ {
-				column := make([]field.Element, numRow)
-				for r := 0; r < numRow; r++ {
-					column[r] = c[r].Get(col)
-				}
-
-				colHash := key.Hash(column)
-				require.Equalf(
-					t,
-					vector.Prettify(colHash),
-					vector.Prettify(result[32*col:32*col+32]),
-					"column %v", col,
-				)
-			}
-		})
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_32_8/twiddles.go b/prover/crypto/ringsis/ringsis_32_8/twiddles.go
deleted file mode 100644
index 9a94c1c1..00000000
--- a/prover/crypto/ringsis/ringsis_32_8/twiddles.go
+++ /dev/null
@@ -1,136 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_32_8
-
-import (
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"math/big"
-)
-
-// PrecomputeTwiddlesCoset precomputes twiddlesCoset from twiddles and coset table
-// it then return all elements in the correct order for the unrolled FFT.
-func PrecomputeTwiddlesCoset(generator, shifter field.Element) []field.Element {
-	toReturn := make([]field.Element, 31)
-	var r, s field.Element
-	e := new(big.Int)
-
-	s = shifter
-
-	for k := 0; k < 4; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[0] = s
-
-	s = shifter
-
-	for k := 0; k < 3; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[1] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<3*1)))
-	toReturn[2].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 2; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[3] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*2)))
-	toReturn[4].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*1)))
-	toReturn[5].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*3)))
-	toReturn[6].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 1; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[7] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*4)))
-	toReturn[8].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*2)))
-	toReturn[9].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*6)))
-	toReturn[10].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*1)))
-	toReturn[11].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*5)))
-	toReturn[12].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*3)))
-	toReturn[13].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*7)))
-	toReturn[14].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 0; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[15] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*8)))
-	toReturn[16].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*4)))
-	toReturn[17].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*12)))
-	toReturn[18].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*2)))
-	toReturn[19].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*10)))
-	toReturn[20].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*6)))
-	toReturn[21].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*14)))
-	toReturn[22].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*1)))
-	toReturn[23].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*9)))
-	toReturn[24].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*5)))
-	toReturn[25].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*13)))
-	toReturn[26].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*3)))
-	toReturn[27].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*11)))
-	toReturn[28].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*7)))
-	toReturn[29].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*15)))
-	toReturn[30].Mul(&r, &s)
-
-	return toReturn
-}
diff --git a/prover/crypto/ringsis/ringsis_64_16/limb_decompose_test.go b/prover/crypto/ringsis/ringsis_64_16/limb_decompose_test.go
deleted file mode 100644
index 1eb0de45..00000000
--- a/prover/crypto/ringsis/ringsis_64_16/limb_decompose_test.go
+++ /dev/null
@@ -1,44 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_16
-
-import (
-	"math/big"
-	"math/rand/v2"
-	"testing"
-
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/assert"
-)
-
-func TestLimbDecompose(t *testing.T) {
-
-	var (
-		limbs         = make([]int64, 64)
-		rng           = rand.New(rand.NewChaCha8([32]byte{}))
-		inputs        = make([]field.Element, 4)
-		obtainedLimbs = make([]field.Element, 64)
-	)
-
-	for i := range limbs {
-		if i%16 > 15 {
-			limbs[i] = int64(rng.IntN(1 << 16))
-		}
-	}
-
-	for i := 0; i < 4; i++ {
-		buf := &big.Int{}
-		for j := 14; j >= 0; j-- {
-			buf.Mul(buf, big.NewInt(1<<16))
-			tmp := new(big.Int).SetInt64(limbs[16*i+j])
-			buf.Add(buf, tmp)
-		}
-		inputs[i].SetBigInt(buf)
-	}
-
-	limbDecompose(obtainedLimbs, inputs)
-
-	for i := range obtainedLimbs {
-		assert.Equal(t, uint64(limbs[i]), obtainedLimbs[i][0])
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_64_16/partial_fft.go b/prover/crypto/ringsis/ringsis_64_16/partial_fft.go
deleted file mode 100644
index 7335e223..00000000
--- a/prover/crypto/ringsis/ringsis_64_16/partial_fft.go
+++ /dev/null
@@ -1,5418 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_16
-
-import (
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-)
-
-var partialFFT = []func(a, twiddles []field.Element){
-	partialFFT_0,
-	partialFFT_1,
-	partialFFT_2,
-	partialFFT_3,
-	partialFFT_4,
-	partialFFT_5,
-	partialFFT_6,
-	partialFFT_7,
-	partialFFT_8,
-	partialFFT_9,
-	partialFFT_10,
-	partialFFT_11,
-	partialFFT_12,
-	partialFFT_13,
-	partialFFT_14,
-	partialFFT_15,
-}
-
-func partialFFT_0(a, twiddles []field.Element) {
-}
-
-func partialFFT_1(a, twiddles []field.Element) {
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_2(a, twiddles []field.Element) {
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_3(a, twiddles []field.Element) {
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_4(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_5(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_6(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_7(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_8(a, twiddles []field.Element) {
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_9(a, twiddles []field.Element) {
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_10(a, twiddles []field.Element) {
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_11(a, twiddles []field.Element) {
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_12(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_13(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_14(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_15(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
diff --git a/prover/crypto/ringsis/ringsis_64_16/partial_fft_test.go b/prover/crypto/ringsis/ringsis_64_16/partial_fft_test.go
deleted file mode 100644
index 4ea5d1ea..00000000
--- a/prover/crypto/ringsis/ringsis_64_16/partial_fft_test.go
+++ /dev/null
@@ -1,55 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_16
-
-import (
-	"testing"
-
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/assert"
-)
-
-func TestPartialFFT(t *testing.T) {
-
-	var (
-		domain   = fft.NewDomain(64)
-		twiddles = PrecomputeTwiddlesCoset(domain.Generator, domain.FrMultiplicativeGen)
-	)
-
-	for mask := 0; mask < 16; mask++ {
-
-		var (
-			a = vec123456()
-			b = vec123456()
-		)
-
-		zeroizeWithMask(a, mask)
-		zeroizeWithMask(b, mask)
-
-		domain.FFT(a, fft.DIF, fft.OnCoset())
-		partialFFT[mask](b, twiddles)
-		assert.Equal(t, a, b)
-	}
-
-}
-
-func vec123456() []field.Element {
-	vec := make([]field.Element, 64)
-	for i := range vec {
-		vec[i].SetInt64(int64(i))
-	}
-	return vec
-}
-
-func zeroizeWithMask(v []field.Element, mask int) {
-	for i := 0; i < 4; i++ {
-		if (mask>>i)&1 == 1 {
-			continue
-		}
-
-		for j := 0; j < 16; j++ {
-			v[16*i+j].SetZero()
-		}
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_64_16/transerval_hash_bench_test.go b/prover/crypto/ringsis/ringsis_64_16/transerval_hash_bench_test.go
deleted file mode 100644
index 67e1d8e0..00000000
--- a/prover/crypto/ringsis/ringsis_64_16/transerval_hash_bench_test.go
+++ /dev/null
@@ -1,57 +0,0 @@
-package ringsis_64_16_test
-
-import (
-	"fmt"
-	"math/rand/v2"
-	"testing"
-
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis/ringsis_64_16"
-	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
-	wfft "github.com/consensys/linea-monorepo/prover/maths/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/consensys/linea-monorepo/prover/utils"
-)
-
-func BenchmarkTransversalHash(b *testing.B) {
-
-	var (
-		numRow          = 1024
-		numCols         = 1024
-		rng             = rand.New(utils.NewRandSource(786868)) // nolint
-		domain          = fft.NewDomain(64, fft.WithShift(wfft.GetOmega(64*2)))
-		twiddles        = ringsis_64_16.PrecomputeTwiddlesCoset(domain.Generator, domain.FrMultiplicativeGen)
-		params          = ringsis.Params{LogTwoBound: 16, LogTwoDegree: 6}
-		numInputPerPoly = params.OutputSize() / (field.Bytes * 8 / params.LogTwoBound)
-		key             = ringsis.GenerateKey(params, numRow)
-		numTestCases    = 1 << numInputPerPoly
-		numPoly         = numRow / numInputPerPoly
-	)
-
-	for tc := 0; tc < numTestCases; tc++ {
-
-		b.Run(fmt.Sprintf("testcase-%b", tc), func(b *testing.B) {
-
-			inputs := make([]smartvectors.SmartVector, 0, numPoly*numInputPerPoly)
-
-			for p := 0; p < numPoly; p++ {
-				for i := 0; i < numInputPerPoly; i++ {
-					if (tc>>i)&1 == 0 {
-						inputs = append(inputs, randomConstRow(rng, numCols))
-					} else {
-						inputs = append(inputs, randomRegularRow(rng, numCols))
-					}
-				}
-			}
-
-			b.ResetTimer()
-
-			for c := 0; c < b.N; c++ {
-				_ = ringsis_64_16.TransversalHash(key.Ag(), inputs, twiddles, domain)
-			}
-
-		})
-
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_64_16/transversal_hash.go b/prover/crypto/ringsis/ringsis_64_16/transversal_hash.go
deleted file mode 100644
index 31767660..00000000
--- a/prover/crypto/ringsis/ringsis_64_16/transversal_hash.go
+++ /dev/null
@@ -1,245 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_16
-
-import (
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
-	"github.com/consensys/linea-monorepo/prover/maths/common/vector"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/consensys/linea-monorepo/prover/utils"
-	"github.com/consensys/linea-monorepo/prover/utils/parallel"
-	ppool "github.com/consensys/linea-monorepo/prover/utils/parallel/pool"
-)
-
-func TransversalHash(
-	// the Ag for ring-sis
-	ag [][]field.Element,
-	// A non-transposed list of columns
-	// All of the same length
-	pols []smartvectors.SmartVector,
-	// The precomputed twiddle cosets for the forward FFT
-	twiddleCosets []field.Element,
-	// The domain for the final inverse-FFT
-	domain *fft.Domain,
-) []field.Element {
-
-	var (
-		// Each field element is encoded in 16 limbs but the degree is 64. So, each
-		// polynomial multiplication "hashes" 4 field elements at once. This is
-		// important to know for parallelization.
-		resultSize = pols[0].Len() * 64
-
-		// To optimize memory usage, we limit ourself to hash only 16 columns per
-		// iteration.
-		numColumnPerJob int = 16
-
-		// In theory, it should be a div ceil. But in practice we only process power's
-		// of two number of columns. If that's not the case, then the function will panic
-		// but we can always change that if this is needed. The rational for the current
-		// design is simplicity.
-		numJobs = utils.DivExact(pols[0].Len(), numColumnPerJob) // we make blocks of 16 columns
-
-		// Main result of the hashing
-		mainResults = make([]field.Element, resultSize)
-		// When we encounter a const row, it will have the same additive contribution
-		// to the result on every column. So we compute the contribution only once and
-		// accumulate it with the other "constant column contributions". And it is only
-		// performed by the first thread.
-		constResults = make([]field.Element, 64)
-	)
-
-	ppool.ExecutePoolChunky(numJobs, func(i int) {
-		// We process the columns per segment of `numColumnPerJob`
-		var (
-			localResult = make([]field.Element, numColumnPerJob*64)
-			limbs       = make([]field.Element, 64)
-
-			// Each segment is processed by packet of `numFieldPerPoly=4` rows
-			startFromCol = i * numColumnPerJob
-			stopAtCol    = (i + 1) * numColumnPerJob
-		)
-
-		for row := 0; row < len(pols); row += 4 {
-
-			var (
-				chunksFull = make([][]field.Element, 4)
-				mask       = 0
-			)
-
-			for j := 0; j < 4; j++ {
-				if row+j >= len(pols) {
-					continue
-				}
-
-				pReg, pIsReg := pols[row+j].(*smartvectors.Regular)
-				if pIsReg {
-					chunksFull[j] = (*pReg)[startFromCol:stopAtCol]
-					mask |= (1 << j)
-					continue
-				}
-
-				pPool, pIsPool := pols[row+j].(*smartvectors.Pooled)
-				if pIsPool {
-					chunksFull[j] = pPool.Regular[startFromCol:stopAtCol]
-					mask |= (1 << j)
-					continue
-				}
-			}
-
-			if mask > 0 {
-				for col := 0; col < (stopAtCol - startFromCol); col++ {
-					colChunk := [4]field.Element{}
-					for j := 0; j < 4; j++ {
-						if chunksFull[j] != nil {
-							colChunk[j] = chunksFull[j][col]
-						}
-					}
-
-					limbDecompose(limbs, colChunk[:])
-					partialFFT[mask](limbs, twiddleCosets)
-					mulModAcc(localResult[col*64:(col+1)*64], limbs, ag[row/4])
-				}
-			}
-
-			if i == 0 {
-
-				var (
-					cMask      = ((1 << 4) - 1) ^ mask
-					chunkConst = make([]field.Element, 4)
-				)
-
-				if cMask > 0 {
-					for j := 0; j < 4; j++ {
-						if row+j >= len(pols) {
-							continue
-						}
-
-						if (cMask>>j)&1 == 1 {
-							chunkConst[j] = pols[row+j].(*smartvectors.Constant).Get(0)
-						}
-					}
-
-					limbDecompose(limbs, chunkConst)
-					partialFFT[cMask](limbs, twiddleCosets)
-					mulModAcc(constResults, limbs, ag[row/4])
-				}
-			}
-		}
-
-		// copy the segment into the main result at the end
-		copy(mainResults[startFromCol*64:stopAtCol*64], localResult)
-	})
-
-	// Now, we need to reconciliate the results of the buffer with
-	// the result for each thread
-	parallel.Execute(pols[0].Len(), func(start, stop int) {
-		for col := start; col < stop; col++ {
-			// Accumulate the const
-			vector.Add(mainResults[col*64:(col+1)*64], mainResults[col*64:(col+1)*64], constResults)
-			// And run the reverse FFT
-			domain.FFTInverse(mainResults[col*64:(col+1)*64], fft.DIT, fft.OnCoset(), fft.WithNbTasks(1))
-		}
-	})
-
-	return mainResults
-}
-
-var _zeroes []field.Element = make([]field.Element, 64)
-
-// zeroize fills `buf` with zeroes.
-func zeroize(buf []field.Element) {
-	copy(buf, _zeroes)
-}
-
-// mulModAdd increments each entry `i` of `res` as `res[i] = a[i] * b[i]`. The
-// input vectors are trusted to all have the same length.
-func mulModAcc(res, a, b []field.Element) {
-	var tmp field.Element
-	for i := range res {
-		tmp.Mul(&a[i], &b[i])
-		res[i].Add(&res[i], &tmp)
-	}
-}
-
-func limbDecompose(result []field.Element, x []field.Element) {
-
-	zeroize(result)
-	var bytesBuffer = [32]byte{}
-
-	bytesBuffer = x[0].Bytes()
-
-	result[15][0] = uint64(bytesBuffer[1]) | (uint64(bytesBuffer[0]) << 8)
-	result[14][0] = uint64(bytesBuffer[3]) | (uint64(bytesBuffer[2]) << 8)
-	result[13][0] = uint64(bytesBuffer[5]) | (uint64(bytesBuffer[4]) << 8)
-	result[12][0] = uint64(bytesBuffer[7]) | (uint64(bytesBuffer[6]) << 8)
-	result[11][0] = uint64(bytesBuffer[9]) | (uint64(bytesBuffer[8]) << 8)
-	result[10][0] = uint64(bytesBuffer[11]) | (uint64(bytesBuffer[10]) << 8)
-	result[9][0] = uint64(bytesBuffer[13]) | (uint64(bytesBuffer[12]) << 8)
-	result[8][0] = uint64(bytesBuffer[15]) | (uint64(bytesBuffer[14]) << 8)
-	result[7][0] = uint64(bytesBuffer[17]) | (uint64(bytesBuffer[16]) << 8)
-	result[6][0] = uint64(bytesBuffer[19]) | (uint64(bytesBuffer[18]) << 8)
-	result[5][0] = uint64(bytesBuffer[21]) | (uint64(bytesBuffer[20]) << 8)
-	result[4][0] = uint64(bytesBuffer[23]) | (uint64(bytesBuffer[22]) << 8)
-	result[3][0] = uint64(bytesBuffer[25]) | (uint64(bytesBuffer[24]) << 8)
-	result[2][0] = uint64(bytesBuffer[27]) | (uint64(bytesBuffer[26]) << 8)
-	result[1][0] = uint64(bytesBuffer[29]) | (uint64(bytesBuffer[28]) << 8)
-	result[0][0] = uint64(bytesBuffer[31]) | (uint64(bytesBuffer[30]) << 8)
-
-	bytesBuffer = x[1].Bytes()
-
-	result[31][0] = uint64(bytesBuffer[1]) | (uint64(bytesBuffer[0]) << 8)
-	result[30][0] = uint64(bytesBuffer[3]) | (uint64(bytesBuffer[2]) << 8)
-	result[29][0] = uint64(bytesBuffer[5]) | (uint64(bytesBuffer[4]) << 8)
-	result[28][0] = uint64(bytesBuffer[7]) | (uint64(bytesBuffer[6]) << 8)
-	result[27][0] = uint64(bytesBuffer[9]) | (uint64(bytesBuffer[8]) << 8)
-	result[26][0] = uint64(bytesBuffer[11]) | (uint64(bytesBuffer[10]) << 8)
-	result[25][0] = uint64(bytesBuffer[13]) | (uint64(bytesBuffer[12]) << 8)
-	result[24][0] = uint64(bytesBuffer[15]) | (uint64(bytesBuffer[14]) << 8)
-	result[23][0] = uint64(bytesBuffer[17]) | (uint64(bytesBuffer[16]) << 8)
-	result[22][0] = uint64(bytesBuffer[19]) | (uint64(bytesBuffer[18]) << 8)
-	result[21][0] = uint64(bytesBuffer[21]) | (uint64(bytesBuffer[20]) << 8)
-	result[20][0] = uint64(bytesBuffer[23]) | (uint64(bytesBuffer[22]) << 8)
-	result[19][0] = uint64(bytesBuffer[25]) | (uint64(bytesBuffer[24]) << 8)
-	result[18][0] = uint64(bytesBuffer[27]) | (uint64(bytesBuffer[26]) << 8)
-	result[17][0] = uint64(bytesBuffer[29]) | (uint64(bytesBuffer[28]) << 8)
-	result[16][0] = uint64(bytesBuffer[31]) | (uint64(bytesBuffer[30]) << 8)
-
-	bytesBuffer = x[2].Bytes()
-
-	result[47][0] = uint64(bytesBuffer[1]) | (uint64(bytesBuffer[0]) << 8)
-	result[46][0] = uint64(bytesBuffer[3]) | (uint64(bytesBuffer[2]) << 8)
-	result[45][0] = uint64(bytesBuffer[5]) | (uint64(bytesBuffer[4]) << 8)
-	result[44][0] = uint64(bytesBuffer[7]) | (uint64(bytesBuffer[6]) << 8)
-	result[43][0] = uint64(bytesBuffer[9]) | (uint64(bytesBuffer[8]) << 8)
-	result[42][0] = uint64(bytesBuffer[11]) | (uint64(bytesBuffer[10]) << 8)
-	result[41][0] = uint64(bytesBuffer[13]) | (uint64(bytesBuffer[12]) << 8)
-	result[40][0] = uint64(bytesBuffer[15]) | (uint64(bytesBuffer[14]) << 8)
-	result[39][0] = uint64(bytesBuffer[17]) | (uint64(bytesBuffer[16]) << 8)
-	result[38][0] = uint64(bytesBuffer[19]) | (uint64(bytesBuffer[18]) << 8)
-	result[37][0] = uint64(bytesBuffer[21]) | (uint64(bytesBuffer[20]) << 8)
-	result[36][0] = uint64(bytesBuffer[23]) | (uint64(bytesBuffer[22]) << 8)
-	result[35][0] = uint64(bytesBuffer[25]) | (uint64(bytesBuffer[24]) << 8)
-	result[34][0] = uint64(bytesBuffer[27]) | (uint64(bytesBuffer[26]) << 8)
-	result[33][0] = uint64(bytesBuffer[29]) | (uint64(bytesBuffer[28]) << 8)
-	result[32][0] = uint64(bytesBuffer[31]) | (uint64(bytesBuffer[30]) << 8)
-
-	bytesBuffer = x[3].Bytes()
-
-	result[63][0] = uint64(bytesBuffer[1]) | (uint64(bytesBuffer[0]) << 8)
-	result[62][0] = uint64(bytesBuffer[3]) | (uint64(bytesBuffer[2]) << 8)
-	result[61][0] = uint64(bytesBuffer[5]) | (uint64(bytesBuffer[4]) << 8)
-	result[60][0] = uint64(bytesBuffer[7]) | (uint64(bytesBuffer[6]) << 8)
-	result[59][0] = uint64(bytesBuffer[9]) | (uint64(bytesBuffer[8]) << 8)
-	result[58][0] = uint64(bytesBuffer[11]) | (uint64(bytesBuffer[10]) << 8)
-	result[57][0] = uint64(bytesBuffer[13]) | (uint64(bytesBuffer[12]) << 8)
-	result[56][0] = uint64(bytesBuffer[15]) | (uint64(bytesBuffer[14]) << 8)
-	result[55][0] = uint64(bytesBuffer[17]) | (uint64(bytesBuffer[16]) << 8)
-	result[54][0] = uint64(bytesBuffer[19]) | (uint64(bytesBuffer[18]) << 8)
-	result[53][0] = uint64(bytesBuffer[21]) | (uint64(bytesBuffer[20]) << 8)
-	result[52][0] = uint64(bytesBuffer[23]) | (uint64(bytesBuffer[22]) << 8)
-	result[51][0] = uint64(bytesBuffer[25]) | (uint64(bytesBuffer[24]) << 8)
-	result[50][0] = uint64(bytesBuffer[27]) | (uint64(bytesBuffer[26]) << 8)
-	result[49][0] = uint64(bytesBuffer[29]) | (uint64(bytesBuffer[28]) << 8)
-	result[48][0] = uint64(bytesBuffer[31]) | (uint64(bytesBuffer[30]) << 8)
-}
diff --git a/prover/crypto/ringsis/ringsis_64_16/transversal_hash_test.go b/prover/crypto/ringsis/ringsis_64_16/transversal_hash_test.go
deleted file mode 100644
index 1c17fc6b..00000000
--- a/prover/crypto/ringsis/ringsis_64_16/transversal_hash_test.go
+++ /dev/null
@@ -1,114 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_16_test
-
-import (
-	"fmt"
-	"math/rand/v2"
-	"testing"
-
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis/ringsis_64_16"
-	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
-	"github.com/consensys/linea-monorepo/prover/maths/common/vector"
-	wfft "github.com/consensys/linea-monorepo/prover/maths/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/require"
-)
-
-// randomConstRow generates a random constant smart-vector
-func randomConstRow(rng *rand.Rand, size int) smartvectors.SmartVector {
-	return smartvectors.NewConstant(field.PseudoRand(rng), size)
-}
-
-// randomRegularRow generates a random regular smart-vector
-func randomRegularRow(rng *rand.Rand, size int) smartvectors.SmartVector {
-	return smartvectors.PseudoRand(rng, size)
-}
-
-// generate a smartvector row-matrix by using randomly constant or regular smart-vectors
-func fullyRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors.SmartVector {
-	list := make([]smartvectors.SmartVector, numRow)
-	for i := range list {
-		coin := rng.IntN(2)
-		switch {
-		case coin == 0:
-			list[i] = randomConstRow(rng, numCols)
-		case coin == 1:
-			list[i] = randomRegularRow(rng, numCols)
-		}
-	}
-	return list
-}
-
-func constantRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors.SmartVector {
-	list := make([]smartvectors.SmartVector, numRow)
-	for i := range list {
-		list[i] = randomConstRow(rng, numCols)
-	}
-	return list
-}
-
-func regularRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors.SmartVector {
-	list := make([]smartvectors.SmartVector, numRow)
-	for i := range list {
-		list[i] = randomConstRow(rng, numCols)
-	}
-	return list
-}
-
-func TestSmartVectorTransversalSisHash(t *testing.T) {
-
-	var (
-		numReps   = 64
-		numCols   = 16
-		rng       = rand.New(rand.NewChaCha8([32]byte{}))
-		domain    = fft.NewDomain(64, fft.WithShift(wfft.GetOmega(64*2)))
-		twiddles  = ringsis_64_16.PrecomputeTwiddlesCoset(domain.Generator, domain.FrMultiplicativeGen)
-		params    = ringsis.Params{LogTwoBound: 16, LogTwoDegree: 6}
-		testCases = [][]smartvectors.SmartVector{
-			constantRandomTestVector(rng, 4, numCols),
-			regularRandomTestVector(rng, 4, numCols),
-		}
-	)
-
-	for i := 0; i < numReps; i++ {
-		testCases = append(testCases, fullyRandomTestVector(rng, 4, numCols))
-	}
-
-	for i := 0; i < numReps; i++ {
-		testCases = append(testCases, fullyRandomTestVector(rng, 16, 2*numCols))
-	}
-
-	for i, c := range testCases {
-		t.Run(fmt.Sprintf("testcase-%v", i), func(t *testing.T) {
-
-			var (
-				numRow = len(c)
-				key    = ringsis.GenerateKey(params, numRow)
-				result = ringsis_64_16.TransversalHash(
-					key.Ag(),
-					c,
-					twiddles,
-					domain,
-				)
-			)
-
-			for col := 0; col < numCols; col++ {
-				column := make([]field.Element, numRow)
-				for r := 0; r < numRow; r++ {
-					column[r] = c[r].Get(col)
-				}
-
-				colHash := key.Hash(column)
-				require.Equalf(
-					t,
-					vector.Prettify(colHash),
-					vector.Prettify(result[64*col:64*col+64]),
-					"column %v", col,
-				)
-			}
-		})
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_64_16/twiddles.go b/prover/crypto/ringsis/ringsis_64_16/twiddles.go
deleted file mode 100644
index 575cefbb..00000000
--- a/prover/crypto/ringsis/ringsis_64_16/twiddles.go
+++ /dev/null
@@ -1,237 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_16
-
-import (
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"math/big"
-)
-
-// PrecomputeTwiddlesCoset precomputes twiddlesCoset from twiddles and coset table
-// it then return all elements in the correct order for the unrolled FFT.
-func PrecomputeTwiddlesCoset(generator, shifter field.Element) []field.Element {
-	toReturn := make([]field.Element, 63)
-	var r, s field.Element
-	e := new(big.Int)
-
-	s = shifter
-
-	for k := 0; k < 5; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[0] = s
-
-	s = shifter
-
-	for k := 0; k < 4; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[1] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<4*1)))
-	toReturn[2].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 3; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[3] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<3*2)))
-	toReturn[4].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<3*1)))
-	toReturn[5].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<3*3)))
-	toReturn[6].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 2; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[7] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*4)))
-	toReturn[8].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*2)))
-	toReturn[9].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*6)))
-	toReturn[10].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*1)))
-	toReturn[11].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*5)))
-	toReturn[12].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*3)))
-	toReturn[13].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*7)))
-	toReturn[14].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 1; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[15] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*8)))
-	toReturn[16].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*4)))
-	toReturn[17].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*12)))
-	toReturn[18].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*2)))
-	toReturn[19].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*10)))
-	toReturn[20].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*6)))
-	toReturn[21].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*14)))
-	toReturn[22].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*1)))
-	toReturn[23].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*9)))
-	toReturn[24].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*5)))
-	toReturn[25].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*13)))
-	toReturn[26].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*3)))
-	toReturn[27].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*11)))
-	toReturn[28].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*7)))
-	toReturn[29].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*15)))
-	toReturn[30].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 0; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[31] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*16)))
-	toReturn[32].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*8)))
-	toReturn[33].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*24)))
-	toReturn[34].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*4)))
-	toReturn[35].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*20)))
-	toReturn[36].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*12)))
-	toReturn[37].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*28)))
-	toReturn[38].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*2)))
-	toReturn[39].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*18)))
-	toReturn[40].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*10)))
-	toReturn[41].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*26)))
-	toReturn[42].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*6)))
-	toReturn[43].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*22)))
-	toReturn[44].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*14)))
-	toReturn[45].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*30)))
-	toReturn[46].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*1)))
-	toReturn[47].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*17)))
-	toReturn[48].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*9)))
-	toReturn[49].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*25)))
-	toReturn[50].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*5)))
-	toReturn[51].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*21)))
-	toReturn[52].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*13)))
-	toReturn[53].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*29)))
-	toReturn[54].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*3)))
-	toReturn[55].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*19)))
-	toReturn[56].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*11)))
-	toReturn[57].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*27)))
-	toReturn[58].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*7)))
-	toReturn[59].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*23)))
-	toReturn[60].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*15)))
-	toReturn[61].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*31)))
-	toReturn[62].Mul(&r, &s)
-
-	return toReturn
-}
diff --git a/prover/crypto/ringsis/ringsis_64_8/limb_decompose_test.go b/prover/crypto/ringsis/ringsis_64_8/limb_decompose_test.go
deleted file mode 100644
index c9e7d900..00000000
--- a/prover/crypto/ringsis/ringsis_64_8/limb_decompose_test.go
+++ /dev/null
@@ -1,44 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_8
-
-import (
-	"math/big"
-	"math/rand/v2"
-	"testing"
-
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/assert"
-)
-
-func TestLimbDecompose(t *testing.T) {
-
-	var (
-		limbs         = make([]int64, 64)
-		rng           = rand.New(rand.NewChaCha8([32]byte{}))
-		inputs        = make([]field.Element, 2)
-		obtainedLimbs = make([]field.Element, 64)
-	)
-
-	for i := range limbs {
-		if i%32 > 31 {
-			limbs[i] = int64(rng.IntN(1 << 8))
-		}
-	}
-
-	for i := 0; i < 2; i++ {
-		buf := &big.Int{}
-		for j := 30; j >= 0; j-- {
-			buf.Mul(buf, big.NewInt(1<<8))
-			tmp := new(big.Int).SetInt64(limbs[32*i+j])
-			buf.Add(buf, tmp)
-		}
-		inputs[i].SetBigInt(buf)
-	}
-
-	limbDecompose(obtainedLimbs, inputs)
-
-	for i := range obtainedLimbs {
-		assert.Equal(t, uint64(limbs[i]), obtainedLimbs[i][0])
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_64_8/partial_fft.go b/prover/crypto/ringsis/ringsis_64_8/partial_fft.go
deleted file mode 100644
index 4b7c1b0b..00000000
--- a/prover/crypto/ringsis/ringsis_64_8/partial_fft.go
+++ /dev/null
@@ -1,1146 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_8
-
-import (
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-)
-
-var partialFFT = []func(a, twiddles []field.Element){
-	partialFFT_0,
-	partialFFT_1,
-	partialFFT_2,
-	partialFFT_3,
-}
-
-func partialFFT_0(a, twiddles []field.Element) {
-}
-
-func partialFFT_1(a, twiddles []field.Element) {
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_2(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
-
-func partialFFT_3(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
diff --git a/prover/crypto/ringsis/ringsis_64_8/partial_fft_test.go b/prover/crypto/ringsis/ringsis_64_8/partial_fft_test.go
deleted file mode 100644
index c7cda93e..00000000
--- a/prover/crypto/ringsis/ringsis_64_8/partial_fft_test.go
+++ /dev/null
@@ -1,55 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_8
-
-import (
-	"testing"
-
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/assert"
-)
-
-func TestPartialFFT(t *testing.T) {
-
-	var (
-		domain   = fft.NewDomain(64)
-		twiddles = PrecomputeTwiddlesCoset(domain.Generator, domain.FrMultiplicativeGen)
-	)
-
-	for mask := 0; mask < 4; mask++ {
-
-		var (
-			a = vec123456()
-			b = vec123456()
-		)
-
-		zeroizeWithMask(a, mask)
-		zeroizeWithMask(b, mask)
-
-		domain.FFT(a, fft.DIF, fft.OnCoset())
-		partialFFT[mask](b, twiddles)
-		assert.Equal(t, a, b)
-	}
-
-}
-
-func vec123456() []field.Element {
-	vec := make([]field.Element, 64)
-	for i := range vec {
-		vec[i].SetInt64(int64(i))
-	}
-	return vec
-}
-
-func zeroizeWithMask(v []field.Element, mask int) {
-	for i := 0; i < 2; i++ {
-		if (mask>>i)&1 == 1 {
-			continue
-		}
-
-		for j := 0; j < 32; j++ {
-			v[32*i+j].SetZero()
-		}
-	}
-}
diff --git a/prover/crypto/ringsis/ringsis_64_8/transversal_hash.go b/prover/crypto/ringsis/ringsis_64_8/transversal_hash.go
deleted file mode 100644
index 634d3839..00000000
--- a/prover/crypto/ringsis/ringsis_64_8/transversal_hash.go
+++ /dev/null
@@ -1,239 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_8
-
-import (
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
-	"github.com/consensys/linea-monorepo/prover/maths/common/vector"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/consensys/linea-monorepo/prover/utils"
-	"github.com/consensys/linea-monorepo/prover/utils/parallel"
-	ppool "github.com/consensys/linea-monorepo/prover/utils/parallel/pool"
-)
-
-func TransversalHash(
-	// the Ag for ring-sis
-	ag [][]field.Element,
-	// A non-transposed list of columns
-	// All of the same length
-	pols []smartvectors.SmartVector,
-	// The precomputed twiddle cosets for the forward FFT
-	twiddleCosets []field.Element,
-	// The domain for the final inverse-FFT
-	domain *fft.Domain,
-) []field.Element {
-
-	var (
-		// Each field element is encoded in 32 limbs but the degree is 64. So, each
-		// polynomial multiplication "hashes" 2 field elements at once. This is
-		// important to know for parallelization.
-		resultSize = pols[0].Len() * 64
-
-		// To optimize memory usage, we limit ourself to hash only 16 columns per
-		// iteration.
-		numColumnPerJob int = 16
-
-		// In theory, it should be a div ceil. But in practice we only process power's
-		// of two number of columns. If that's not the case, then the function will panic
-		// but we can always change that if this is needed. The rational for the current
-		// design is simplicity.
-		numJobs = utils.DivExact(pols[0].Len(), numColumnPerJob) // we make blocks of 16 columns
-
-		// Main result of the hashing
-		mainResults = make([]field.Element, resultSize)
-		// When we encounter a const row, it will have the same additive contribution
-		// to the result on every column. So we compute the contribution only once and
-		// accumulate it with the other "constant column contributions". And it is only
-		// performed by the first thread.
-		constResults = make([]field.Element, 64)
-	)
-
-	ppool.ExecutePoolChunky(numJobs, func(i int) {
-		// We process the columns per segment of `numColumnPerJob`
-		var (
-			localResult = make([]field.Element, numColumnPerJob*64)
-			limbs       = make([]field.Element, 64)
-
-			// Each segment is processed by packet of `numFieldPerPoly=2` rows
-			startFromCol = i * numColumnPerJob
-			stopAtCol    = (i + 1) * numColumnPerJob
-		)
-
-		for row := 0; row < len(pols); row += 2 {
-
-			var (
-				chunksFull = make([][]field.Element, 2)
-				mask       = 0
-			)
-
-			for j := 0; j < 2; j++ {
-				if row+j >= len(pols) {
-					continue
-				}
-
-				pReg, pIsReg := pols[row+j].(*smartvectors.Regular)
-				if pIsReg {
-					chunksFull[j] = (*pReg)[startFromCol:stopAtCol]
-					mask |= (1 << j)
-					continue
-				}
-
-				pPool, pIsPool := pols[row+j].(*smartvectors.Pooled)
-				if pIsPool {
-					chunksFull[j] = pPool.Regular[startFromCol:stopAtCol]
-					mask |= (1 << j)
-					continue
-				}
-			}
-
-			if mask > 0 {
-				for col := 0; col < (stopAtCol - startFromCol); col++ {
-					colChunk := [2]field.Element{}
-					for j := 0; j < 2; j++ {
-						if chunksFull[j] != nil {
-							colChunk[j] = chunksFull[j][col]
-						}
-					}
-
-					limbDecompose(limbs, colChunk[:])
-					partialFFT[mask](limbs, twiddleCosets)
-					mulModAcc(localResult[col*64:(col+1)*64], limbs, ag[row/2])
-				}
-			}
-
-			if i == 0 {
-
-				var (
-					cMask      = ((1 << 2) - 1) ^ mask
-					chunkConst = make([]field.Element, 2)
-				)
-
-				if cMask > 0 {
-					for j := 0; j < 2; j++ {
-						if row+j >= len(pols) {
-							continue
-						}
-
-						if (cMask>>j)&1 == 1 {
-							chunkConst[j] = pols[row+j].(*smartvectors.Constant).Get(0)
-						}
-					}
-
-					limbDecompose(limbs, chunkConst)
-					partialFFT[cMask](limbs, twiddleCosets)
-					mulModAcc(constResults, limbs, ag[row/2])
-				}
-			}
-		}
-
-		// copy the segment into the main result at the end
-		copy(mainResults[startFromCol*64:stopAtCol*64], localResult)
-	})
-
-	// Now, we need to reconciliate the results of the buffer with
-	// the result for each thread
-	parallel.Execute(pols[0].Len(), func(start, stop int) {
-		for col := start; col < stop; col++ {
-			// Accumulate the const
-			vector.Add(mainResults[col*64:(col+1)*64], mainResults[col*64:(col+1)*64], constResults)
-			// And run the reverse FFT
-			domain.FFTInverse(mainResults[col*64:(col+1)*64], fft.DIT, fft.OnCoset(), fft.WithNbTasks(1))
-		}
-	})
-
-	return mainResults
-}
-
-var _zeroes []field.Element = make([]field.Element, 64)
-
-// zeroize fills `buf` with zeroes.
-func zeroize(buf []field.Element) {
-	copy(buf, _zeroes)
-}
-
-// mulModAdd increments each entry `i` of `res` as `res[i] = a[i] * b[i]`. The
-// input vectors are trusted to all have the same length.
-func mulModAcc(res, a, b []field.Element) {
-	var tmp field.Element
-	for i := range res {
-		tmp.Mul(&a[i], &b[i])
-		res[i].Add(&res[i], &tmp)
-	}
-}
-
-func limbDecompose(result []field.Element, x []field.Element) {
-
-	zeroize(result)
-	var bytesBuffer = [32]byte{}
-
-	bytesBuffer = x[0].Bytes()
-
-	result[31][0] = uint64(bytesBuffer[0])
-	result[30][0] = uint64(bytesBuffer[1])
-	result[29][0] = uint64(bytesBuffer[2])
-	result[28][0] = uint64(bytesBuffer[3])
-	result[27][0] = uint64(bytesBuffer[4])
-	result[26][0] = uint64(bytesBuffer[5])
-	result[25][0] = uint64(bytesBuffer[6])
-	result[24][0] = uint64(bytesBuffer[7])
-	result[23][0] = uint64(bytesBuffer[8])
-	result[22][0] = uint64(bytesBuffer[9])
-	result[21][0] = uint64(bytesBuffer[10])
-	result[20][0] = uint64(bytesBuffer[11])
-	result[19][0] = uint64(bytesBuffer[12])
-	result[18][0] = uint64(bytesBuffer[13])
-	result[17][0] = uint64(bytesBuffer[14])
-	result[16][0] = uint64(bytesBuffer[15])
-	result[15][0] = uint64(bytesBuffer[16])
-	result[14][0] = uint64(bytesBuffer[17])
-	result[13][0] = uint64(bytesBuffer[18])
-	result[12][0] = uint64(bytesBuffer[19])
-	result[11][0] = uint64(bytesBuffer[20])
-	result[10][0] = uint64(bytesBuffer[21])
-	result[9][0] = uint64(bytesBuffer[22])
-	result[8][0] = uint64(bytesBuffer[23])
-	result[7][0] = uint64(bytesBuffer[24])
-	result[6][0] = uint64(bytesBuffer[25])
-	result[5][0] = uint64(bytesBuffer[26])
-	result[4][0] = uint64(bytesBuffer[27])
-	result[3][0] = uint64(bytesBuffer[28])
-	result[2][0] = uint64(bytesBuffer[29])
-	result[1][0] = uint64(bytesBuffer[30])
-	result[0][0] = uint64(bytesBuffer[31])
-
-	bytesBuffer = x[1].Bytes()
-
-	result[63][0] = uint64(bytesBuffer[0])
-	result[62][0] = uint64(bytesBuffer[1])
-	result[61][0] = uint64(bytesBuffer[2])
-	result[60][0] = uint64(bytesBuffer[3])
-	result[59][0] = uint64(bytesBuffer[4])
-	result[58][0] = uint64(bytesBuffer[5])
-	result[57][0] = uint64(bytesBuffer[6])
-	result[56][0] = uint64(bytesBuffer[7])
-	result[55][0] = uint64(bytesBuffer[8])
-	result[54][0] = uint64(bytesBuffer[9])
-	result[53][0] = uint64(bytesBuffer[10])
-	result[52][0] = uint64(bytesBuffer[11])
-	result[51][0] = uint64(bytesBuffer[12])
-	result[50][0] = uint64(bytesBuffer[13])
-	result[49][0] = uint64(bytesBuffer[14])
-	result[48][0] = uint64(bytesBuffer[15])
-	result[47][0] = uint64(bytesBuffer[16])
-	result[46][0] = uint64(bytesBuffer[17])
-	result[45][0] = uint64(bytesBuffer[18])
-	result[44][0] = uint64(bytesBuffer[19])
-	result[43][0] = uint64(bytesBuffer[20])
-	result[42][0] = uint64(bytesBuffer[21])
-	result[41][0] = uint64(bytesBuffer[22])
-	result[40][0] = uint64(bytesBuffer[23])
-	result[39][0] = uint64(bytesBuffer[24])
-	result[38][0] = uint64(bytesBuffer[25])
-	result[37][0] = uint64(bytesBuffer[26])
-	result[36][0] = uint64(bytesBuffer[27])
-	result[35][0] = uint64(bytesBuffer[28])
-	result[34][0] = uint64(bytesBuffer[29])
-	result[33][0] = uint64(bytesBuffer[30])
-	result[32][0] = uint64(bytesBuffer[31])
-}
diff --git a/prover/crypto/ringsis/ringsis_64_8/twiddles.go b/prover/crypto/ringsis/ringsis_64_8/twiddles.go
deleted file mode 100644
index 94934bcb..00000000
--- a/prover/crypto/ringsis/ringsis_64_8/twiddles.go
+++ /dev/null
@@ -1,237 +0,0 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_8
-
-import (
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"math/big"
-)
-
-// PrecomputeTwiddlesCoset precomputes twiddlesCoset from twiddles and coset table
-// it then return all elements in the correct order for the unrolled FFT.
-func PrecomputeTwiddlesCoset(generator, shifter field.Element) []field.Element {
-	toReturn := make([]field.Element, 63)
-	var r, s field.Element
-	e := new(big.Int)
-
-	s = shifter
-
-	for k := 0; k < 5; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[0] = s
-
-	s = shifter
-
-	for k := 0; k < 4; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[1] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<4*1)))
-	toReturn[2].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 3; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[3] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<3*2)))
-	toReturn[4].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<3*1)))
-	toReturn[5].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<3*3)))
-	toReturn[6].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 2; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[7] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*4)))
-	toReturn[8].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*2)))
-	toReturn[9].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*6)))
-	toReturn[10].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*1)))
-	toReturn[11].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*5)))
-	toReturn[12].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*3)))
-	toReturn[13].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<2*7)))
-	toReturn[14].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 1; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[15] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*8)))
-	toReturn[16].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*4)))
-	toReturn[17].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*12)))
-	toReturn[18].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*2)))
-	toReturn[19].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*10)))
-	toReturn[20].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*6)))
-	toReturn[21].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*14)))
-	toReturn[22].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*1)))
-	toReturn[23].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*9)))
-	toReturn[24].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*5)))
-	toReturn[25].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*13)))
-	toReturn[26].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*3)))
-	toReturn[27].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*11)))
-	toReturn[28].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*7)))
-	toReturn[29].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<1*15)))
-	toReturn[30].Mul(&r, &s)
-
-	s = shifter
-
-	for k := 0; k < 0; k++ {
-		s.Square(&s)
-	}
-
-	toReturn[31] = s
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*16)))
-	toReturn[32].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*8)))
-	toReturn[33].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*24)))
-	toReturn[34].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*4)))
-	toReturn[35].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*20)))
-	toReturn[36].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*12)))
-	toReturn[37].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*28)))
-	toReturn[38].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*2)))
-	toReturn[39].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*18)))
-	toReturn[40].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*10)))
-	toReturn[41].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*26)))
-	toReturn[42].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*6)))
-	toReturn[43].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*22)))
-	toReturn[44].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*14)))
-	toReturn[45].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*30)))
-	toReturn[46].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*1)))
-	toReturn[47].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*17)))
-	toReturn[48].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*9)))
-	toReturn[49].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*25)))
-	toReturn[50].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*5)))
-	toReturn[51].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*21)))
-	toReturn[52].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*13)))
-	toReturn[53].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*29)))
-	toReturn[54].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*3)))
-	toReturn[55].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*19)))
-	toReturn[56].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*11)))
-	toReturn[57].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*27)))
-	toReturn[58].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*7)))
-	toReturn[59].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*23)))
-	toReturn[60].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*15)))
-	toReturn[61].Mul(&r, &s)
-
-	r.Exp(generator, e.SetUint64(uint64(1<<0*31)))
-	toReturn[62].Mul(&r, &s)
-
-	return toReturn
-}
diff --git a/prover/crypto/ringsis/ringsis_test.go b/prover/crypto/ringsis/ringsis_test.go
index 49b3af51..824ce903 100644
--- a/prover/crypto/ringsis/ringsis_test.go
+++ b/prover/crypto/ringsis/ringsis_test.go
@@ -43,22 +43,8 @@ var testCasesKey = []struct {
 	{
 		Size: 43,
 		Params: Params{
-			LogTwoBound:  1,
-			LogTwoDegree: 1,
-		},
-	},
-	{
-		Size: 23,
-		Params: Params{
-			LogTwoBound:  1,
-			LogTwoDegree: 1,
-		},
-	},
-	{
-		Size: 256,
-		Params: Params{
-			LogTwoBound:  1,
-			LogTwoDegree: 1,
+			LogTwoBound:  8,
+			LogTwoDegree: 6,
 		},
 	},
 }
@@ -275,35 +261,40 @@ func TestTransveralHashFromLimbs(t *testing.T) {
 		},
 	}
 
-	for pId, tcKeyParams := range testCasesKey {
+	for _, tcKeyParams := range testCasesKey {
 		for _, tcDim := range testCaseDimensions {
-			t.Run(
-				fmt.Sprintf("params-%v-numRow=%v-nCols=%v", pId, tcDim.NumRows, tcDim.NumCols),
-				func(t *testing.T) {
+			t.Logf("params-%v-numRow=%v-nCols=%v", tcKeyParams.Size, tcDim.NumRows, tcDim.NumCols)
+			// t.Run(
+			// 	fmt.Sprintf("params-%v-numRow=%v-nCols=%v", pId, tcDim.NumRows, tcDim.NumCols),
+			// 	func(t *testing.T) {
+			assert := require.New(t)
 
-					key := GenerateKey(tcKeyParams.Params, tcDim.NumRows)
+			key := GenerateKey(tcKeyParams.Params, tcDim.NumRows)
 
-					inputs := make([]smartvectors.SmartVector, 4)
-					for i := range inputs {
-						inputs[i] = smartvectors.Rand(16)
-					}
+			inputs := make([]smartvectors.SmartVector, 4)
+			for i := range inputs {
+				inputs[i] = smartvectors.Rand(16)
+			}
 
-					transposed := make([][]field.Element, 16)
-					for i := range transposed {
-						transposed[i] = make([]fr.Element, 4)
-						for j := range transposed[i] {
-							transposed[i][j] = inputs[j].Get(i)
-						}
-					}
+			transposed := make([][]field.Element, 16)
+			for i := range transposed {
+				transposed[i] = make([]fr.Element, 4)
+				for j := range transposed[i] {
+					transposed[i][j] = inputs[j].Get(i)
+				}
+			}
 
-					res := key.TransversalHash(inputs)
-					for i := range transposed {
-						baseline := key.Hash(transposed[i])
-						assert.Equal(t, baseline, res[i*key.OutputSize():(i+1)*key.OutputSize()])
-					}
-
-				},
-			)
+			res := key.TransversalHash(inputs)
+			for i := range transposed {
+				baseline := key.Hash(transposed[i])
+				for j := range baseline {
+					assert.Equal(baseline[j], res[i*key.OutputSize()+j], "transversal hash does not match col hash at %d %d", i, j)
+				}
+				// assert.Equal(baseline, res[i*key.OutputSize():(i+1)*key.OutputSize()])
+			}
+			// t.FailNow()
+			// 	},
+			// )
 		}
 	}
 }
diff --git a/prover/crypto/ringsis/templates/generator.go b/prover/crypto/ringsis/templates/generator.go
deleted file mode 100644
index 6d6f004d..00000000
--- a/prover/crypto/ringsis/templates/generator.go
+++ /dev/null
@@ -1,93 +0,0 @@
-package main
-
-import (
-	"flag"
-	"fmt"
-	"math/big"
-	"math/bits"
-	"os"
-	"text/template"
-
-	"github.com/consensys/bavard"
-	"github.com/consensys/linea-monorepo/prover/utils"
-)
-
-// Config stores the template generation parameters for the optimized ring-SIS
-type Config struct {
-	ModulusDegree int64
-	LogTwoBound   int64
-}
-
-func main() {
-
-	cfg := Config{}
-	flag.Int64Var(&cfg.LogTwoBound, "logTwoBound", 0, "")
-	flag.Int64Var(&cfg.ModulusDegree, "modulusDegree", 0, "")
-	flag.Parse()
-
-	filesList := []string{
-		"transversal_hash.go",
-		"transversal_hash_test.go",
-		"partial_fft.go",
-		"twiddles.go",
-		"partial_fft_test.go",
-		"limb_decompose_test.go",
-	}
-
-	for _, file := range filesList {
-		var (
-			source = "./templates/" + file + ".tmpl"
-			target = fmt.Sprintf("./ringsis_%v_%v/%v", cfg.ModulusDegree, cfg.LogTwoBound, file)
-		)
-
-		err := bavard.GenerateFromFiles(
-			target,
-			[]string{source},
-			cfg,
-			bavard.Funcs(template.FuncMap{
-				"partialFFT": partialFFT,
-				"pow":        pow,
-				"bitReverse": bitReverse,
-				"log2":       log2,
-			}),
-		)
-
-		if err != nil {
-			fmt.Printf("err = %v\n", err.Error())
-			os.Exit(1)
-		}
-	}
-}
-
-func pow(base, pow int64) int64 {
-	var (
-		b = new(big.Int).SetInt64(base)
-		p = new(big.Int).SetInt64(pow)
-	)
-	b.Exp(b, p, nil)
-
-	if !b.IsInt64() {
-		utils.Panic("could not cast big.Int %v to int64 as it overflows", b.String())
-	}
-
-	return b.Int64()
-}
-
-func log2(n int64) int64 {
-	return int64(utils.Log2Floor(int(n)))
-}
-
-func bitReverse(n, i int64) uint64 {
-	nn := uint64(64 - bits.TrailingZeros64(uint64(n)))
-	r := make([]uint64, n)
-	for i := 0; i < len(r); i++ {
-		r[i] = uint64(i)
-	}
-	for i := 0; i < len(r); i++ {
-		irev := bits.Reverse64(r[i]) >> nn
-		if irev > uint64(i) {
-			r[i], r[irev] = r[irev], r[i]
-		}
-	}
-	return r[i]
-}
diff --git a/prover/crypto/ringsis/templates/limb_decompose_test.go.tmpl b/prover/crypto/ringsis/templates/limb_decompose_test.go.tmpl
deleted file mode 100644
index 814bff60..00000000
--- a/prover/crypto/ringsis/templates/limb_decompose_test.go.tmpl
+++ /dev/null
@@ -1,47 +0,0 @@
-package ringsis_{{.ModulusDegree}}_{{.LogTwoBound}}
-
-import (
-	"math/big"
-	"math/rand/v2"
-	"testing"
-
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/assert"
-)
-
-{{- $bitPerField := 256}}
-{{- $limbPerField := div $bitPerField .LogTwoBound}}
-{{- $fieldPerPoly := div .ModulusDegree $limbPerField}}
-{{- $numMask := pow 2 $fieldPerPoly}}
-
-func TestLimbDecompose(t *testing.T) {
-
-	var (
-		limbs         = make([]int64, {{.ModulusDegree}})
-		rng           = rand.New(rand.NewChaCha8([32]byte{}))
-		inputs        = make([]field.Element, {{$fieldPerPoly}})
-		obtainedLimbs = make([]field.Element, {{.ModulusDegree}})
-	)
-
-	for i := range limbs {
-		if i%{{$limbPerField}} > {{sub $limbPerField 1}} {
-			limbs[i] = int64(rng.IntN(1 << {{.LogTwoBound}}))
-		}
-	}
-
-	for i := 0; i < {{$fieldPerPoly}}; i++ {
-		buf := &big.Int{}
-		for j := {{sub $limbPerField 2}}; j >= 0; j-- {
-			buf.Mul(buf, big.NewInt(1<<{{.LogTwoBound}}))
-			tmp := new(big.Int).SetInt64(limbs[{{$limbPerField}}*i+j])
-			buf.Add(buf, tmp)
-		}
-		inputs[i].SetBigInt(buf)
-	}
-
-	limbDecompose(obtainedLimbs, inputs)
-
-	for i := range obtainedLimbs {
-		assert.Equal(t, uint64(limbs[i]), obtainedLimbs[i][0])
-	}
-}
diff --git a/prover/crypto/ringsis/templates/partial_fft.go b/prover/crypto/ringsis/templates/partial_fft.go
deleted file mode 100644
index b9e9d47d..00000000
--- a/prover/crypto/ringsis/templates/partial_fft.go
+++ /dev/null
@@ -1,130 +0,0 @@
-package main
-
-import (
-	"fmt"
-	"strings"
-
-	"github.com/consensys/linea-monorepo/prover/utils"
-)
-
-func partialFFT(domainSize, numField, mask int64) string {
-
-	gen := initializePartialFFTCodeGen(domainSize, numField, mask)
-
-	gen.header()
-	gen.indent()
-
-	var (
-		numStages int = utils.Log2Ceil(int(domainSize))
-		numSplits int = 1
-		splitSize int = int(domainSize)
-	)
-
-	for level := 0; level < numStages; level++ {
-		for s := 0; s < numSplits; s++ {
-			for k := 0; k < splitSize/2; k++ {
-				gen.twiddleMulLine(s*splitSize+splitSize/2+k, numSplits-1+s)
-			}
-		}
-
-		for s := 0; s < numSplits; s++ {
-			for k := 0; k < splitSize/2; k++ {
-				gen.butterFlyLine(s*splitSize+k, s*splitSize+splitSize/2+k)
-			}
-		}
-
-		splitSize /= 2
-		numSplits *= 2
-	}
-
-	gen.desindent()
-	gen.tail()
-	return gen.Builder.String()
-}
-
-func initializePartialFFTCodeGen(domainSize, numField, mask int64) PartialFFTCodeGen {
-	res := PartialFFTCodeGen{
-		DomainSize: int(domainSize),
-		NumField:   int(numField),
-		Mask:       int(mask),
-		IsZero:     make([]bool, domainSize),
-		Builder:    &strings.Builder{},
-		NumIndent:  0,
-	}
-
-	for i := range res.IsZero {
-		var (
-			fieldSize = domainSize / numField
-			bit       = i / int(fieldSize)
-			isZero    = ((mask >> bit) & 1) == 0
-		)
-
-		res.IsZero[i] = isZero
-	}
-
-	return res
-}
-
-type PartialFFTCodeGen struct {
-	DomainSize int
-	NumField   int
-	Mask       int
-	Builder    *strings.Builder
-	NumIndent  int
-	IsZero     []bool
-}
-
-func (p *PartialFFTCodeGen) header() {
-	writeIndent(p.Builder, p.NumIndent)
-	line := fmt.Sprintf("func partialFFT_%v(a, twiddles []field.Element) {\n", p.Mask)
-	p.Builder.WriteString(line)
-}
-
-func (p *PartialFFTCodeGen) tail() {
-	writeIndent(p.Builder, p.NumIndent)
-	p.Builder.WriteString("}\n")
-}
-
-func (p *PartialFFTCodeGen) butterFlyLine(i, j int) {
-	allZeroes := p.IsZero[i] && p.IsZero[j]
-	if allZeroes {
-		return
-	}
-
-	p.IsZero[i] = false
-	p.IsZero[j] = false
-
-	writeIndent(p.Builder, p.NumIndent)
-
-	line := fmt.Sprintf("field.Butterfly(&a[%v], &a[%v])\n", i, j)
-	if _, err := p.Builder.WriteString(line); err != nil {
-		panic(err)
-	}
-}
-
-func (p *PartialFFTCodeGen) twiddleMulLine(i, twidPos int) {
-	if p.IsZero[i] {
-		return
-	}
-
-	writeIndent(p.Builder, p.NumIndent)
-
-	line := fmt.Sprintf("a[%v].Mul(&a[%v], &twiddles[%v])\n", i, i, twidPos)
-	if _, err := p.Builder.WriteString(line); err != nil {
-		panic(err)
-	}
-}
-
-func (p *PartialFFTCodeGen) desindent() {
-	p.NumIndent--
-}
-
-func (p *PartialFFTCodeGen) indent() {
-	p.NumIndent++
-}
-
-func writeIndent(w *strings.Builder, n int) {
-	for i := 0; i < n; i++ {
-		w.WriteString("\t")
-	}
-}
diff --git a/prover/crypto/ringsis/templates/partial_fft.go.tmpl b/prover/crypto/ringsis/templates/partial_fft.go.tmpl
deleted file mode 100644
index e95feb80..00000000
--- a/prover/crypto/ringsis/templates/partial_fft.go.tmpl
+++ /dev/null
@@ -1,19 +0,0 @@
-package ringsis_{{.ModulusDegree}}_{{.LogTwoBound}}
-
-import (
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-)
-
-{{- $bitPerField := 256}}
-{{- $limbPerField := div $bitPerField .LogTwoBound}}
-{{- $fieldPerPoly := div .ModulusDegree $limbPerField}}
-{{- $numMask := pow 2 $fieldPerPoly}}
-
-var partialFFT = []func(a, twiddles []field.Element){
-	{{- range $i := iterate 0 $numMask}}
-	partialFFT_{{$i}},
-	{{- end}}
-}
-{{range $mask := iterate 0 $numMask}}
-{{partialFFT $.ModulusDegree $fieldPerPoly $mask}}
-{{- end}}
\ No newline at end of file
diff --git a/prover/crypto/ringsis/templates/partial_fft_test.go b/prover/crypto/ringsis/templates/partial_fft_test.go
deleted file mode 100644
index 9af3d924..00000000
--- a/prover/crypto/ringsis/templates/partial_fft_test.go
+++ /dev/null
@@ -1,18 +0,0 @@
-package main
-
-import (
-	_ "embed"
-	"testing"
-
-	"github.com/stretchr/testify/assert"
-)
-
-var (
-	//go:embed testcases/partial_fft_64_3_2.txt
-	case_64_3_2 string
-)
-
-func TestPartialFFT(t *testing.T) {
-	str := partialFFT(64, 2, 3)
-	assert.Equal(t, case_64_3_2, str)
-}
diff --git a/prover/crypto/ringsis/templates/partial_fft_test.go.tmpl b/prover/crypto/ringsis/templates/partial_fft_test.go.tmpl
deleted file mode 100644
index f8299fc6..00000000
--- a/prover/crypto/ringsis/templates/partial_fft_test.go.tmpl
+++ /dev/null
@@ -1,58 +0,0 @@
-package ringsis_{{.ModulusDegree}}_{{.LogTwoBound}}
-
-import (
-	"testing"
-
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/assert"
-)
-
-{{- $bitPerField := 256}}
-{{- $limbPerField := div $bitPerField .LogTwoBound}}
-{{- $fieldPerPoly := div .ModulusDegree $limbPerField}}
-{{- $numMask := pow 2 $fieldPerPoly}}
-
-func TestPartialFFT(t *testing.T) {
-
-	var (
-		domain   = fft.NewDomain({{.ModulusDegree}})
-		twiddles = PrecomputeTwiddlesCoset(domain.Generator, domain.FrMultiplicativeGen)
-	)
-
-	for mask := 0; mask < {{$numMask}}; mask++ {
-
-		var (
-			a = vec123456()
-			b = vec123456()
-		)
-
-		zeroizeWithMask(a, mask)
-		zeroizeWithMask(b, mask)
-
-		domain.FFT(a, fft.DIF, fft.OnCoset())
-		partialFFT[mask](b, twiddles)
-		assert.Equal(t, a, b)
-	}
-
-}
-
-func vec123456() []field.Element {
-	vec := make([]field.Element, {{.ModulusDegree}})
-	for i := range vec {
-		vec[i].SetInt64(int64(i))
-	}
-	return vec
-}
-
-func zeroizeWithMask(v []field.Element, mask int) {
-	for i := 0; i < {{$fieldPerPoly}}; i++ {
-		if (mask>>i)&1 == 1 {
-			continue
-		}
-
-		for j := 0; j < {{$limbPerField}}; j++ {
-			v[{{$limbPerField}}*i+j].SetZero()
-		}
-	}
-}
diff --git a/prover/crypto/ringsis/templates/testcases/partial_fft_64_3_2.txt b/prover/crypto/ringsis/templates/testcases/partial_fft_64_3_2.txt
deleted file mode 100644
index d9b408f8..00000000
--- a/prover/crypto/ringsis/templates/testcases/partial_fft_64_3_2.txt
+++ /dev/null
@@ -1,386 +0,0 @@
-func partialFFT_3(a, twiddles []field.Element) {
-	a[32].Mul(&a[32], &twiddles[0])
-	a[33].Mul(&a[33], &twiddles[0])
-	a[34].Mul(&a[34], &twiddles[0])
-	a[35].Mul(&a[35], &twiddles[0])
-	a[36].Mul(&a[36], &twiddles[0])
-	a[37].Mul(&a[37], &twiddles[0])
-	a[38].Mul(&a[38], &twiddles[0])
-	a[39].Mul(&a[39], &twiddles[0])
-	a[40].Mul(&a[40], &twiddles[0])
-	a[41].Mul(&a[41], &twiddles[0])
-	a[42].Mul(&a[42], &twiddles[0])
-	a[43].Mul(&a[43], &twiddles[0])
-	a[44].Mul(&a[44], &twiddles[0])
-	a[45].Mul(&a[45], &twiddles[0])
-	a[46].Mul(&a[46], &twiddles[0])
-	a[47].Mul(&a[47], &twiddles[0])
-	a[48].Mul(&a[48], &twiddles[0])
-	a[49].Mul(&a[49], &twiddles[0])
-	a[50].Mul(&a[50], &twiddles[0])
-	a[51].Mul(&a[51], &twiddles[0])
-	a[52].Mul(&a[52], &twiddles[0])
-	a[53].Mul(&a[53], &twiddles[0])
-	a[54].Mul(&a[54], &twiddles[0])
-	a[55].Mul(&a[55], &twiddles[0])
-	a[56].Mul(&a[56], &twiddles[0])
-	a[57].Mul(&a[57], &twiddles[0])
-	a[58].Mul(&a[58], &twiddles[0])
-	a[59].Mul(&a[59], &twiddles[0])
-	a[60].Mul(&a[60], &twiddles[0])
-	a[61].Mul(&a[61], &twiddles[0])
-	a[62].Mul(&a[62], &twiddles[0])
-	a[63].Mul(&a[63], &twiddles[0])
-	field.Butterfly(&a[0], &a[32])
-	field.Butterfly(&a[1], &a[33])
-	field.Butterfly(&a[2], &a[34])
-	field.Butterfly(&a[3], &a[35])
-	field.Butterfly(&a[4], &a[36])
-	field.Butterfly(&a[5], &a[37])
-	field.Butterfly(&a[6], &a[38])
-	field.Butterfly(&a[7], &a[39])
-	field.Butterfly(&a[8], &a[40])
-	field.Butterfly(&a[9], &a[41])
-	field.Butterfly(&a[10], &a[42])
-	field.Butterfly(&a[11], &a[43])
-	field.Butterfly(&a[12], &a[44])
-	field.Butterfly(&a[13], &a[45])
-	field.Butterfly(&a[14], &a[46])
-	field.Butterfly(&a[15], &a[47])
-	field.Butterfly(&a[16], &a[48])
-	field.Butterfly(&a[17], &a[49])
-	field.Butterfly(&a[18], &a[50])
-	field.Butterfly(&a[19], &a[51])
-	field.Butterfly(&a[20], &a[52])
-	field.Butterfly(&a[21], &a[53])
-	field.Butterfly(&a[22], &a[54])
-	field.Butterfly(&a[23], &a[55])
-	field.Butterfly(&a[24], &a[56])
-	field.Butterfly(&a[25], &a[57])
-	field.Butterfly(&a[26], &a[58])
-	field.Butterfly(&a[27], &a[59])
-	field.Butterfly(&a[28], &a[60])
-	field.Butterfly(&a[29], &a[61])
-	field.Butterfly(&a[30], &a[62])
-	field.Butterfly(&a[31], &a[63])
-	a[16].Mul(&a[16], &twiddles[1])
-	a[17].Mul(&a[17], &twiddles[1])
-	a[18].Mul(&a[18], &twiddles[1])
-	a[19].Mul(&a[19], &twiddles[1])
-	a[20].Mul(&a[20], &twiddles[1])
-	a[21].Mul(&a[21], &twiddles[1])
-	a[22].Mul(&a[22], &twiddles[1])
-	a[23].Mul(&a[23], &twiddles[1])
-	a[24].Mul(&a[24], &twiddles[1])
-	a[25].Mul(&a[25], &twiddles[1])
-	a[26].Mul(&a[26], &twiddles[1])
-	a[27].Mul(&a[27], &twiddles[1])
-	a[28].Mul(&a[28], &twiddles[1])
-	a[29].Mul(&a[29], &twiddles[1])
-	a[30].Mul(&a[30], &twiddles[1])
-	a[31].Mul(&a[31], &twiddles[1])
-	a[48].Mul(&a[48], &twiddles[2])
-	a[49].Mul(&a[49], &twiddles[2])
-	a[50].Mul(&a[50], &twiddles[2])
-	a[51].Mul(&a[51], &twiddles[2])
-	a[52].Mul(&a[52], &twiddles[2])
-	a[53].Mul(&a[53], &twiddles[2])
-	a[54].Mul(&a[54], &twiddles[2])
-	a[55].Mul(&a[55], &twiddles[2])
-	a[56].Mul(&a[56], &twiddles[2])
-	a[57].Mul(&a[57], &twiddles[2])
-	a[58].Mul(&a[58], &twiddles[2])
-	a[59].Mul(&a[59], &twiddles[2])
-	a[60].Mul(&a[60], &twiddles[2])
-	a[61].Mul(&a[61], &twiddles[2])
-	a[62].Mul(&a[62], &twiddles[2])
-	a[63].Mul(&a[63], &twiddles[2])
-	field.Butterfly(&a[0], &a[16])
-	field.Butterfly(&a[1], &a[17])
-	field.Butterfly(&a[2], &a[18])
-	field.Butterfly(&a[3], &a[19])
-	field.Butterfly(&a[4], &a[20])
-	field.Butterfly(&a[5], &a[21])
-	field.Butterfly(&a[6], &a[22])
-	field.Butterfly(&a[7], &a[23])
-	field.Butterfly(&a[8], &a[24])
-	field.Butterfly(&a[9], &a[25])
-	field.Butterfly(&a[10], &a[26])
-	field.Butterfly(&a[11], &a[27])
-	field.Butterfly(&a[12], &a[28])
-	field.Butterfly(&a[13], &a[29])
-	field.Butterfly(&a[14], &a[30])
-	field.Butterfly(&a[15], &a[31])
-	field.Butterfly(&a[32], &a[48])
-	field.Butterfly(&a[33], &a[49])
-	field.Butterfly(&a[34], &a[50])
-	field.Butterfly(&a[35], &a[51])
-	field.Butterfly(&a[36], &a[52])
-	field.Butterfly(&a[37], &a[53])
-	field.Butterfly(&a[38], &a[54])
-	field.Butterfly(&a[39], &a[55])
-	field.Butterfly(&a[40], &a[56])
-	field.Butterfly(&a[41], &a[57])
-	field.Butterfly(&a[42], &a[58])
-	field.Butterfly(&a[43], &a[59])
-	field.Butterfly(&a[44], &a[60])
-	field.Butterfly(&a[45], &a[61])
-	field.Butterfly(&a[46], &a[62])
-	field.Butterfly(&a[47], &a[63])
-	a[8].Mul(&a[8], &twiddles[3])
-	a[9].Mul(&a[9], &twiddles[3])
-	a[10].Mul(&a[10], &twiddles[3])
-	a[11].Mul(&a[11], &twiddles[3])
-	a[12].Mul(&a[12], &twiddles[3])
-	a[13].Mul(&a[13], &twiddles[3])
-	a[14].Mul(&a[14], &twiddles[3])
-	a[15].Mul(&a[15], &twiddles[3])
-	a[24].Mul(&a[24], &twiddles[4])
-	a[25].Mul(&a[25], &twiddles[4])
-	a[26].Mul(&a[26], &twiddles[4])
-	a[27].Mul(&a[27], &twiddles[4])
-	a[28].Mul(&a[28], &twiddles[4])
-	a[29].Mul(&a[29], &twiddles[4])
-	a[30].Mul(&a[30], &twiddles[4])
-	a[31].Mul(&a[31], &twiddles[4])
-	a[40].Mul(&a[40], &twiddles[5])
-	a[41].Mul(&a[41], &twiddles[5])
-	a[42].Mul(&a[42], &twiddles[5])
-	a[43].Mul(&a[43], &twiddles[5])
-	a[44].Mul(&a[44], &twiddles[5])
-	a[45].Mul(&a[45], &twiddles[5])
-	a[46].Mul(&a[46], &twiddles[5])
-	a[47].Mul(&a[47], &twiddles[5])
-	a[56].Mul(&a[56], &twiddles[6])
-	a[57].Mul(&a[57], &twiddles[6])
-	a[58].Mul(&a[58], &twiddles[6])
-	a[59].Mul(&a[59], &twiddles[6])
-	a[60].Mul(&a[60], &twiddles[6])
-	a[61].Mul(&a[61], &twiddles[6])
-	a[62].Mul(&a[62], &twiddles[6])
-	a[63].Mul(&a[63], &twiddles[6])
-	field.Butterfly(&a[0], &a[8])
-	field.Butterfly(&a[1], &a[9])
-	field.Butterfly(&a[2], &a[10])
-	field.Butterfly(&a[3], &a[11])
-	field.Butterfly(&a[4], &a[12])
-	field.Butterfly(&a[5], &a[13])
-	field.Butterfly(&a[6], &a[14])
-	field.Butterfly(&a[7], &a[15])
-	field.Butterfly(&a[16], &a[24])
-	field.Butterfly(&a[17], &a[25])
-	field.Butterfly(&a[18], &a[26])
-	field.Butterfly(&a[19], &a[27])
-	field.Butterfly(&a[20], &a[28])
-	field.Butterfly(&a[21], &a[29])
-	field.Butterfly(&a[22], &a[30])
-	field.Butterfly(&a[23], &a[31])
-	field.Butterfly(&a[32], &a[40])
-	field.Butterfly(&a[33], &a[41])
-	field.Butterfly(&a[34], &a[42])
-	field.Butterfly(&a[35], &a[43])
-	field.Butterfly(&a[36], &a[44])
-	field.Butterfly(&a[37], &a[45])
-	field.Butterfly(&a[38], &a[46])
-	field.Butterfly(&a[39], &a[47])
-	field.Butterfly(&a[48], &a[56])
-	field.Butterfly(&a[49], &a[57])
-	field.Butterfly(&a[50], &a[58])
-	field.Butterfly(&a[51], &a[59])
-	field.Butterfly(&a[52], &a[60])
-	field.Butterfly(&a[53], &a[61])
-	field.Butterfly(&a[54], &a[62])
-	field.Butterfly(&a[55], &a[63])
-	a[4].Mul(&a[4], &twiddles[7])
-	a[5].Mul(&a[5], &twiddles[7])
-	a[6].Mul(&a[6], &twiddles[7])
-	a[7].Mul(&a[7], &twiddles[7])
-	a[12].Mul(&a[12], &twiddles[8])
-	a[13].Mul(&a[13], &twiddles[8])
-	a[14].Mul(&a[14], &twiddles[8])
-	a[15].Mul(&a[15], &twiddles[8])
-	a[20].Mul(&a[20], &twiddles[9])
-	a[21].Mul(&a[21], &twiddles[9])
-	a[22].Mul(&a[22], &twiddles[9])
-	a[23].Mul(&a[23], &twiddles[9])
-	a[28].Mul(&a[28], &twiddles[10])
-	a[29].Mul(&a[29], &twiddles[10])
-	a[30].Mul(&a[30], &twiddles[10])
-	a[31].Mul(&a[31], &twiddles[10])
-	a[36].Mul(&a[36], &twiddles[11])
-	a[37].Mul(&a[37], &twiddles[11])
-	a[38].Mul(&a[38], &twiddles[11])
-	a[39].Mul(&a[39], &twiddles[11])
-	a[44].Mul(&a[44], &twiddles[12])
-	a[45].Mul(&a[45], &twiddles[12])
-	a[46].Mul(&a[46], &twiddles[12])
-	a[47].Mul(&a[47], &twiddles[12])
-	a[52].Mul(&a[52], &twiddles[13])
-	a[53].Mul(&a[53], &twiddles[13])
-	a[54].Mul(&a[54], &twiddles[13])
-	a[55].Mul(&a[55], &twiddles[13])
-	a[60].Mul(&a[60], &twiddles[14])
-	a[61].Mul(&a[61], &twiddles[14])
-	a[62].Mul(&a[62], &twiddles[14])
-	a[63].Mul(&a[63], &twiddles[14])
-	field.Butterfly(&a[0], &a[4])
-	field.Butterfly(&a[1], &a[5])
-	field.Butterfly(&a[2], &a[6])
-	field.Butterfly(&a[3], &a[7])
-	field.Butterfly(&a[8], &a[12])
-	field.Butterfly(&a[9], &a[13])
-	field.Butterfly(&a[10], &a[14])
-	field.Butterfly(&a[11], &a[15])
-	field.Butterfly(&a[16], &a[20])
-	field.Butterfly(&a[17], &a[21])
-	field.Butterfly(&a[18], &a[22])
-	field.Butterfly(&a[19], &a[23])
-	field.Butterfly(&a[24], &a[28])
-	field.Butterfly(&a[25], &a[29])
-	field.Butterfly(&a[26], &a[30])
-	field.Butterfly(&a[27], &a[31])
-	field.Butterfly(&a[32], &a[36])
-	field.Butterfly(&a[33], &a[37])
-	field.Butterfly(&a[34], &a[38])
-	field.Butterfly(&a[35], &a[39])
-	field.Butterfly(&a[40], &a[44])
-	field.Butterfly(&a[41], &a[45])
-	field.Butterfly(&a[42], &a[46])
-	field.Butterfly(&a[43], &a[47])
-	field.Butterfly(&a[48], &a[52])
-	field.Butterfly(&a[49], &a[53])
-	field.Butterfly(&a[50], &a[54])
-	field.Butterfly(&a[51], &a[55])
-	field.Butterfly(&a[56], &a[60])
-	field.Butterfly(&a[57], &a[61])
-	field.Butterfly(&a[58], &a[62])
-	field.Butterfly(&a[59], &a[63])
-	a[2].Mul(&a[2], &twiddles[15])
-	a[3].Mul(&a[3], &twiddles[15])
-	a[6].Mul(&a[6], &twiddles[16])
-	a[7].Mul(&a[7], &twiddles[16])
-	a[10].Mul(&a[10], &twiddles[17])
-	a[11].Mul(&a[11], &twiddles[17])
-	a[14].Mul(&a[14], &twiddles[18])
-	a[15].Mul(&a[15], &twiddles[18])
-	a[18].Mul(&a[18], &twiddles[19])
-	a[19].Mul(&a[19], &twiddles[19])
-	a[22].Mul(&a[22], &twiddles[20])
-	a[23].Mul(&a[23], &twiddles[20])
-	a[26].Mul(&a[26], &twiddles[21])
-	a[27].Mul(&a[27], &twiddles[21])
-	a[30].Mul(&a[30], &twiddles[22])
-	a[31].Mul(&a[31], &twiddles[22])
-	a[34].Mul(&a[34], &twiddles[23])
-	a[35].Mul(&a[35], &twiddles[23])
-	a[38].Mul(&a[38], &twiddles[24])
-	a[39].Mul(&a[39], &twiddles[24])
-	a[42].Mul(&a[42], &twiddles[25])
-	a[43].Mul(&a[43], &twiddles[25])
-	a[46].Mul(&a[46], &twiddles[26])
-	a[47].Mul(&a[47], &twiddles[26])
-	a[50].Mul(&a[50], &twiddles[27])
-	a[51].Mul(&a[51], &twiddles[27])
-	a[54].Mul(&a[54], &twiddles[28])
-	a[55].Mul(&a[55], &twiddles[28])
-	a[58].Mul(&a[58], &twiddles[29])
-	a[59].Mul(&a[59], &twiddles[29])
-	a[62].Mul(&a[62], &twiddles[30])
-	a[63].Mul(&a[63], &twiddles[30])
-	field.Butterfly(&a[0], &a[2])
-	field.Butterfly(&a[1], &a[3])
-	field.Butterfly(&a[4], &a[6])
-	field.Butterfly(&a[5], &a[7])
-	field.Butterfly(&a[8], &a[10])
-	field.Butterfly(&a[9], &a[11])
-	field.Butterfly(&a[12], &a[14])
-	field.Butterfly(&a[13], &a[15])
-	field.Butterfly(&a[16], &a[18])
-	field.Butterfly(&a[17], &a[19])
-	field.Butterfly(&a[20], &a[22])
-	field.Butterfly(&a[21], &a[23])
-	field.Butterfly(&a[24], &a[26])
-	field.Butterfly(&a[25], &a[27])
-	field.Butterfly(&a[28], &a[30])
-	field.Butterfly(&a[29], &a[31])
-	field.Butterfly(&a[32], &a[34])
-	field.Butterfly(&a[33], &a[35])
-	field.Butterfly(&a[36], &a[38])
-	field.Butterfly(&a[37], &a[39])
-	field.Butterfly(&a[40], &a[42])
-	field.Butterfly(&a[41], &a[43])
-	field.Butterfly(&a[44], &a[46])
-	field.Butterfly(&a[45], &a[47])
-	field.Butterfly(&a[48], &a[50])
-	field.Butterfly(&a[49], &a[51])
-	field.Butterfly(&a[52], &a[54])
-	field.Butterfly(&a[53], &a[55])
-	field.Butterfly(&a[56], &a[58])
-	field.Butterfly(&a[57], &a[59])
-	field.Butterfly(&a[60], &a[62])
-	field.Butterfly(&a[61], &a[63])
-	a[1].Mul(&a[1], &twiddles[31])
-	a[3].Mul(&a[3], &twiddles[32])
-	a[5].Mul(&a[5], &twiddles[33])
-	a[7].Mul(&a[7], &twiddles[34])
-	a[9].Mul(&a[9], &twiddles[35])
-	a[11].Mul(&a[11], &twiddles[36])
-	a[13].Mul(&a[13], &twiddles[37])
-	a[15].Mul(&a[15], &twiddles[38])
-	a[17].Mul(&a[17], &twiddles[39])
-	a[19].Mul(&a[19], &twiddles[40])
-	a[21].Mul(&a[21], &twiddles[41])
-	a[23].Mul(&a[23], &twiddles[42])
-	a[25].Mul(&a[25], &twiddles[43])
-	a[27].Mul(&a[27], &twiddles[44])
-	a[29].Mul(&a[29], &twiddles[45])
-	a[31].Mul(&a[31], &twiddles[46])
-	a[33].Mul(&a[33], &twiddles[47])
-	a[35].Mul(&a[35], &twiddles[48])
-	a[37].Mul(&a[37], &twiddles[49])
-	a[39].Mul(&a[39], &twiddles[50])
-	a[41].Mul(&a[41], &twiddles[51])
-	a[43].Mul(&a[43], &twiddles[52])
-	a[45].Mul(&a[45], &twiddles[53])
-	a[47].Mul(&a[47], &twiddles[54])
-	a[49].Mul(&a[49], &twiddles[55])
-	a[51].Mul(&a[51], &twiddles[56])
-	a[53].Mul(&a[53], &twiddles[57])
-	a[55].Mul(&a[55], &twiddles[58])
-	a[57].Mul(&a[57], &twiddles[59])
-	a[59].Mul(&a[59], &twiddles[60])
-	a[61].Mul(&a[61], &twiddles[61])
-	a[63].Mul(&a[63], &twiddles[62])
-	field.Butterfly(&a[0], &a[1])
-	field.Butterfly(&a[2], &a[3])
-	field.Butterfly(&a[4], &a[5])
-	field.Butterfly(&a[6], &a[7])
-	field.Butterfly(&a[8], &a[9])
-	field.Butterfly(&a[10], &a[11])
-	field.Butterfly(&a[12], &a[13])
-	field.Butterfly(&a[14], &a[15])
-	field.Butterfly(&a[16], &a[17])
-	field.Butterfly(&a[18], &a[19])
-	field.Butterfly(&a[20], &a[21])
-	field.Butterfly(&a[22], &a[23])
-	field.Butterfly(&a[24], &a[25])
-	field.Butterfly(&a[26], &a[27])
-	field.Butterfly(&a[28], &a[29])
-	field.Butterfly(&a[30], &a[31])
-	field.Butterfly(&a[32], &a[33])
-	field.Butterfly(&a[34], &a[35])
-	field.Butterfly(&a[36], &a[37])
-	field.Butterfly(&a[38], &a[39])
-	field.Butterfly(&a[40], &a[41])
-	field.Butterfly(&a[42], &a[43])
-	field.Butterfly(&a[44], &a[45])
-	field.Butterfly(&a[46], &a[47])
-	field.Butterfly(&a[48], &a[49])
-	field.Butterfly(&a[50], &a[51])
-	field.Butterfly(&a[52], &a[53])
-	field.Butterfly(&a[54], &a[55])
-	field.Butterfly(&a[56], &a[57])
-	field.Butterfly(&a[58], &a[59])
-	field.Butterfly(&a[60], &a[61])
-	field.Butterfly(&a[62], &a[63])
-}
diff --git a/prover/crypto/ringsis/templates/transversal_hash.go.tmpl b/prover/crypto/ringsis/templates/transversal_hash.go.tmpl
deleted file mode 100644
index 34cc4b76..00000000
--- a/prover/crypto/ringsis/templates/transversal_hash.go.tmpl
+++ /dev/null
@@ -1,187 +0,0 @@
-package ringsis_{{.ModulusDegree}}_{{.LogTwoBound}}
-
-import (
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
-	"github.com/consensys/linea-monorepo/prover/maths/common/vector"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/consensys/linea-monorepo/prover/utils"
-	"github.com/consensys/linea-monorepo/prover/utils/parallel"
-	ppool "github.com/consensys/linea-monorepo/prover/utils/parallel/pool"
-)
-
-{{- $bitPerField := 256}}
-{{- $limbPerField := div $bitPerField .LogTwoBound}}
-{{- $fieldPerPoly := div .ModulusDegree $limbPerField}}
-{{- $numMask := pow 2 $fieldPerPoly}}
-
-func TransversalHash(
-	// the Ag for ring-sis
-	ag [][]field.Element,
-	// A non-transposed list of columns
-	// All of the same length
-	pols []smartvectors.SmartVector,
-	// The precomputed twiddle cosets for the forward FFT
-	twiddleCosets []field.Element,
-	// The domain for the final inverse-FFT
-	domain *fft.Domain,
-) []field.Element {
-
-	var (
-		// Each field element is encoded in {{$limbPerField}} limbs but the degree is {{.ModulusDegree}}. So, each
-		// polynomial multiplication "hashes" {{$fieldPerPoly}} field elements at once. This is
-		// important to know for parallelization.
-		resultSize = pols[0].Len() * {{.ModulusDegree}}
-
-		// To optimize memory usage, we limit ourself to hash only 16 columns per
-		// iteration.
-		numColumnPerJob int = 16
-
-		// In theory, it should be a div ceil. But in practice we only process power's
-		// of two number of columns. If that's not the case, then the function will panic
-		// but we can always change that if this is needed. The rational for the current
-		// design is simplicity.
-		numJobs = utils.DivExact(pols[0].Len(), numColumnPerJob) // we make blocks of 16 columns
-
-		// Main result of the hashing
-		mainResults = make([]field.Element, resultSize)
-		// When we encounter a const row, it will have the same additive contribution
-		// to the result on every column. So we compute the contribution only once and
-		// accumulate it with the other "constant column contributions". And it is only
-		// performed by the first thread.
-		constResults = make([]field.Element, {{.ModulusDegree}})
-	)
-
-	ppool.ExecutePoolChunky(numJobs, func(i int) {
-		// We process the columns per segment of `numColumnPerJob`
-		var (
-			localResult = make([]field.Element, numColumnPerJob*{{.ModulusDegree}})
-			limbs       = make([]field.Element, {{.ModulusDegree}})
-
-			// Each segment is processed by packet of `numFieldPerPoly={{$fieldPerPoly}}` rows
-			startFromCol = i * numColumnPerJob
-			stopAtCol    = (i + 1) * numColumnPerJob
-		)
-
-		for row := 0; row < len(pols); row += {{$fieldPerPoly}} {
-
-			var (
-				chunksFull = make([][]field.Element, {{$fieldPerPoly}})
-				mask       = 0
-			)
-
-			for j := 0; j < {{$fieldPerPoly}}; j++ {
-				if row+j >= len(pols) {
-					continue
-				}
-
-				pReg, pIsReg := pols[row+j].(*smartvectors.Regular)
-				if pIsReg {
-					chunksFull[j] = (*pReg)[startFromCol:stopAtCol]
-					mask |= (1 << j)
-					continue
-				}
-
-				pPool, pIsPool := pols[row+j].(*smartvectors.Pooled)
-				if pIsPool {
-					chunksFull[j] = pPool.Regular[startFromCol:stopAtCol]
-					mask |= (1 << j)
-					continue
-				}
-			}
-
-			if mask > 0 {
-				for col := 0; col < (stopAtCol - startFromCol); col++ {
-					colChunk := [{{$fieldPerPoly}}]field.Element{}
-					for j := 0; j < {{$fieldPerPoly}}; j++ {
-						if chunksFull[j] != nil {
-							colChunk[j] = chunksFull[j][col]
-						}
-					}
-
-					limbDecompose(limbs, colChunk[:])
-					partialFFT[mask](limbs, twiddleCosets)
-					mulModAcc(localResult[col*{{.ModulusDegree}}:(col+1)*{{$.ModulusDegree}}], limbs, ag[row/{{$fieldPerPoly}}])
-				}
-			}
-
-			if i == 0 {
-
-				var (
-					cMask      = ((1 << {{$fieldPerPoly}}) - 1) ^ mask
-					chunkConst = make([]field.Element, {{$fieldPerPoly}})
-				)
-
-				if cMask > 0 {
-					for j := 0; j < {{$fieldPerPoly}}; j++ {
-						if row+j >= len(pols) {
-							continue
-						}
-
-						if (cMask>>j)&1 == 1 {
-							chunkConst[j] = pols[row+j].(*smartvectors.Constant).Get(0)
-						}
-					}
-
-					limbDecompose(limbs, chunkConst)
-					partialFFT[cMask](limbs, twiddleCosets)
-					mulModAcc(constResults, limbs, ag[row/{{$fieldPerPoly}}])
-				}
-			}
-		}
-
-		// copy the segment into the main result at the end
-		copy(mainResults[startFromCol*{{.ModulusDegree}}:stopAtCol*{{.ModulusDegree}}], localResult)
-	})
-
-	// Now, we need to reconciliate the results of the buffer with
-	// the result for each thread
-	parallel.Execute(pols[0].Len(), func(start, stop int) {
-		for col := start; col < stop; col++ {
-			// Accumulate the const
-			vector.Add(mainResults[col*{{.ModulusDegree}}:(col+1)*{{.ModulusDegree}}], mainResults[col*{{.ModulusDegree}}:(col+1)*{{.ModulusDegree}}], constResults)
-			// And run the reverse FFT
-			domain.FFTInverse(mainResults[col*{{.ModulusDegree}}:(col+1)*{{.ModulusDegree}}], fft.DIT, fft.OnCoset(), fft.WithNbTasks(1))
-		}
-	})
-
-	return mainResults
-}
-
-var _zeroes []field.Element = make([]field.Element, {{.ModulusDegree}})
-
-// zeroize fills `buf` with zeroes.
-func zeroize(buf []field.Element) {
-	copy(buf, _zeroes)
-}
-
-// mulModAdd increments each entry `i` of `res` as `res[i] = a[i] * b[i]`. The
-// input vectors are trusted to all have the same length.
-func mulModAcc(res, a, b []field.Element) {
-	var tmp field.Element
-	for i := range res {
-		tmp.Mul(&a[i], &b[i])
-		res[i].Add(&res[i], &tmp)
-	}
-}
-
-func limbDecompose(result []field.Element, x []field.Element) {
-
-	zeroize(result)
-	var bytesBuffer = [32]byte{}{{"\n"}}
-	{{- range $k := iterate 0 $fieldPerPoly}}
-	{{- $pos := mul (add $k 1) $limbPerField -}}
-	{{- "\n\t"}}bytesBuffer = x[{{$k}}].Bytes(){{"\n\n"}}
-	{{- range $i := iterate 0 $limbPerField }}
-	{{- $resPos := sub (sub $pos $i) 1 }}
-	{{- if eq $.LogTwoBound 8 -}}
-	{{- $inpPos0 := $i -}}
-	{{"\t"}}result[{{$resPos}}][0] = uint64(bytesBuffer[{{$inpPos0}}]){{"\n"}}
-	{{- else if eq $.LogTwoBound 16 }}
-	{{- $inpPos0 := mul $i 2 }}
-	{{- $inpPos1 := add $inpPos0 1 -}}
-	{{"\t"}}result[{{$resPos}}][0] = uint64(bytesBuffer[{{$inpPos1}}]) | (uint64(bytesBuffer[{{$inpPos0}}]) << 8){{"\n"}}
-	{{- end}}
-	{{- end}}{{end}}
-{{- "}\n" -}}
-
diff --git a/prover/crypto/ringsis/templates/transversal_hash_test.go.tmpl b/prover/crypto/ringsis/templates/transversal_hash_test.go.tmpl
deleted file mode 100644
index 5c31b5cb..00000000
--- a/prover/crypto/ringsis/templates/transversal_hash_test.go.tmpl
+++ /dev/null
@@ -1,116 +0,0 @@
-package ringsis_{{.ModulusDegree}}_{{.LogTwoBound}}_test
-
-import (
-	"fmt"
-	"math/rand/v2"
-	"testing"
-
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis/ringsis_{{.ModulusDegree}}_{{.LogTwoBound}}"
-	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
-	"github.com/consensys/linea-monorepo/prover/maths/common/vector"
-	wfft "github.com/consensys/linea-monorepo/prover/maths/fft"
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"github.com/stretchr/testify/require"
-)
-
-{{- $bitPerField := 256}}
-{{- $limbPerField := div $bitPerField .LogTwoBound}}
-{{- $fieldPerPoly := div .ModulusDegree $limbPerField}}
-
-// randomConstRow generates a random constant smart-vector
-func randomConstRow(rng *rand.Rand, size int) smartvectors.SmartVector {
-	return smartvectors.NewConstant(field.PseudoRand(rng), size)
-}
-
-// randomRegularRow generates a random regular smart-vector
-func randomRegularRow(rng *rand.Rand, size int) smartvectors.SmartVector {
-	return smartvectors.PseudoRand(rng, size)
-}
-
-// generate a smartvector row-matrix by using randomly constant or regular smart-vectors
-func fullyRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors.SmartVector {
-	list := make([]smartvectors.SmartVector, numRow)
-	for i := range list {
-		coin := rng.IntN(2)
-		switch {
-		case coin == 0:
-			list[i] = randomConstRow(rng, numCols)
-		case coin == 1:
-			list[i] = randomRegularRow(rng, numCols)
-		}
-	}
-	return list
-}
-
-func constantRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors.SmartVector {
-	list := make([]smartvectors.SmartVector, numRow)
-	for i := range list {
-		list[i] = randomConstRow(rng, numCols)
-	}
-	return list
-}
-
-func regularRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors.SmartVector {
-	list := make([]smartvectors.SmartVector, numRow)
-	for i := range list {
-		list[i] = randomConstRow(rng, numCols)
-	}
-	return list
-}
-
-func TestSmartVectorTransversalSisHash(t *testing.T) {
-
-	var (
-		numReps   = 64
-		numCols   = 16
-		rng       = rand.New(rand.NewChaCha8([32]byte{}))
-		domain    = fft.NewDomain({{.ModulusDegree}}, fft.WithShift(wfft.GetOmega({{.ModulusDegree}}*2)))
-		twiddles  = ringsis_{{.ModulusDegree}}_{{.LogTwoBound}}.PrecomputeTwiddlesCoset(domain.Generator, domain.FrMultiplicativeGen)
-		params    = ringsis.Params{LogTwoBound: {{.LogTwoBound}}, LogTwoDegree: {{log2 .ModulusDegree}}}
-		testCases = [][]smartvectors.SmartVector{
-			constantRandomTestVector(rng, {{$fieldPerPoly}}, numCols),
-			regularRandomTestVector(rng, {{$fieldPerPoly}}, numCols),
-		}
-	)
-
-	for i := 0; i < numReps; i++ {
-		testCases = append(testCases, fullyRandomTestVector(rng, {{$fieldPerPoly}}, numCols))
-	}
-
-	for i := 0; i < numReps; i++ {
-		testCases = append(testCases, fullyRandomTestVector(rng, {{mul 4 $fieldPerPoly}}, 2*numCols))
-	}
-
-	for i, c := range testCases {
-		t.Run(fmt.Sprintf("testcase-%v", i), func(t *testing.T) {
-
-			var (
-				numRow = len(c)
-				key    = ringsis.GenerateKey(params, numRow)
-				result = ringsis_{{.ModulusDegree}}_{{.LogTwoBound}}.TransversalHash(
-					key.Ag(),
-					c,
-					twiddles,
-					domain,
-				)
-			)
-
-			for col := 0; col < numCols; col++ {
-				column := make([]field.Element, numRow)
-				for r := 0; r < numRow; r++ {
-					column[r] = c[r].Get(col)
-				}
-
-				colHash := key.Hash(column)
-				require.Equalf(
-					t,
-					vector.Prettify(colHash),
-					vector.Prettify(result[{{.ModulusDegree}}*col:{{.ModulusDegree}}*col+{{.ModulusDegree}}]),
-					"column %v", col,
-				)
-			}
-		})
-	}
-}
diff --git a/prover/crypto/ringsis/templates/twiddles.go.tmpl b/prover/crypto/ringsis/templates/twiddles.go.tmpl
deleted file mode 100644
index 982308de..00000000
--- a/prover/crypto/ringsis/templates/twiddles.go.tmpl
+++ /dev/null
@@ -1,39 +0,0 @@
-package ringsis_{{.ModulusDegree}}_{{.LogTwoBound}}
-
-import (
-	"github.com/consensys/linea-monorepo/prover/maths/field"
-	"math/big"
-)
-
-// PrecomputeTwiddlesCoset precomputes twiddlesCoset from twiddles and coset table
-// it then return all elements in the correct order for the unrolled FFT.
-func PrecomputeTwiddlesCoset(generator, shifter field.Element) []field.Element {
-	toReturn := make([]field.Element, {{sub .ModulusDegree 1}})
-	var r, s field.Element
-	e := new(big.Int){{"\n"}}
-	{{- $n := .ModulusDegree}}
-	{{- $m := div $n 2}}
-	{{- $split := 1}}
-	{{- $split = div $split 1}}
-	{{- $j := 0}}
-	{{- range $step := reverse (iterate 0 (log2 .ModulusDegree))}}
-	s = shifter{{"\n"}}
-	for k := 0; k < {{$step}}; k++ {
-		s.Square(&s)
-	}{{"\n"}}
-	{{- $offset := 0}}
-	{{- range $s := iterate 0 $split}}
-	{{- $exp := bitReverse $split $s}}
-	{{- if eq $exp 0}}
-	toReturn[{{$j}}] = s{{"\n"}}
-	{{- else}}
-	r.Exp(generator, e.SetUint64(uint64(1<<{{$step}}*{{$exp}})))
-	toReturn[{{$j}}].Mul(&r, &s){{"\n"}}
-	{{- end}}
-	{{- $j = add $j 1}}
-	{{- end}}
-
-	{{- $split = mul $split 2}}
-	{{- end}}
-	return toReturn
-}
diff --git a/prover/crypto/ringsis/transversal_hash.go b/prover/crypto/ringsis/transversal_hash.go
new file mode 100644
index 00000000..0e2101b6
--- /dev/null
+++ b/prover/crypto/ringsis/transversal_hash.go
@@ -0,0 +1,242 @@
+package ringsis
+
+import (
+	"runtime"
+	"sync"
+
+	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
+	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/sis"
+
+	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
+	"github.com/consensys/linea-monorepo/prover/maths/field"
+	"github.com/consensys/linea-monorepo/prover/utils"
+	"github.com/consensys/linea-monorepo/prover/utils/parallel"
+	"github.com/consensys/linea-monorepo/prover/utils/parallel/pool"
+)
+
+// TransversalHash evaluates SIS hashes transversally over a list of smart-vectors.
+// Each smart-vector is seen as the row of a matrix. All rows must have the same
+// size or panic. The function returns the hash of the columns. The column hashes
+// are concatenated into a single array.
+func (s *Key) TransversalHash(v []smartvectors.SmartVector) []field.Element {
+
+	// nbRows stores the number of rows in the matrix to hash it must be
+	// strictly positive and be within the bounds of MaxNumFieldHashable.
+	nbRows := len(v)
+
+	if nbRows == 0 || nbRows > s.MaxNumFieldHashable() {
+		utils.Panic("Attempted to hash %v rows, must be in [1:%v]", nbRows, s.MaxNumFieldHashable())
+	}
+
+	// nbCols stores the number of columns in the matrix to hash et must be
+	// positive and all the rows must have the same size.
+	nbCols := v[0].Len()
+
+	if nbCols == 0 {
+		utils.Panic("Provided a 0-column matrix")
+	}
+
+	for i := range v {
+		if v[i].Len() != nbCols {
+			utils.Panic("Unexpected : all inputs smart-vectors should have the same length the first one has length %v, but #%v has length %v",
+				nbCols, i, v[i].Len())
+		}
+	}
+
+	/*
+		v contains a list of rows. We want to hash the columns, in a cache-friendly
+		manner.
+
+
+		for example, if we consider the matrix
+		v[0] -> [ 1  2  3  4  ]
+		v[1] -> [ 5  6  7  8  ]
+		v[2] -> [ 9  10 11 12 ]
+		v[3] -> [ 13 14 15 16 ]
+
+		we want to compute
+		res = [ H(1,5,9,13) H(2,6,10,14) H(3,7,11,15) H(4,8,12,16) ]
+
+		note that the output size of the hash is s.OutputSize() (i.e it's a slice)
+		and that we will decompose the columns in "Limbs" of size s.LogTwoBound;
+		this limbs are then interpreted as a slice of coefficients of
+		a polynomial of size s.OutputSize()
+
+		that is, we can decompose H(1,5,9,13) as;
+		k0 := limbs(1,5) 	= [a b c d e f g h]
+		k1 := limbs(9,13) 	= [i j k l m n o p]
+
+		In practice, s.OutputSize() is a reasonable size (< 1024) so we can slide our tiles
+		over the partial columns and compute the hash of the columns in parallel.
+
+	*/
+
+	nbBytePerLimb := s.LogTwoBound / 8
+	nbLimbsPerField := field.Bytes / nbBytePerLimb
+	nbFieldPerPoly := s.modulusDegree() / nbLimbsPerField
+
+	N := s.OutputSize()
+
+	nbPolys := utils.DivCeil(len(v), nbFieldPerPoly)
+	res := make(field.Vector, nbCols*N)
+
+	// First we take care of the constant rows;
+	// since they repeat the same value, we can compute them once for the matrix (instead of once per column)
+	// and accumulate in res
+
+	// indicates if a block of N rows is constant: in that case we can skip the computation
+	// of all the columns sub-hashes in that block.
+	// more over; we set the bit of a mask if the row is NOT constant, and exploit the mask
+	// to minimize the number of operations we do (partial FFT)
+	masks := make([]uint64, nbPolys)
+
+	// we will accumulate the constant rows in a separate vector
+	constPoly := make(field.Vector, N)
+	constLock := sync.Mutex{}
+
+	// we parallelize by the "height" of the matrix here, since we only care about the constants
+	// and don't iterate over the columns.
+	parallel.Execute(nbPolys, func(start, stop int) {
+		startRow := start * nbFieldPerPoly
+		stopRow := stop * nbFieldPerPoly
+		if stopRow > len(v) {
+			stopRow = len(v)
+		}
+		localRes := make([]field.Element, N)
+
+		itM := s.newMatrixIterator(v)
+
+		k := make([]field.Element, N)
+		kz := make([]field.Element, N)
+
+		for polID := start; polID < stop; polID++ {
+			mConst := uint64(0)
+			for row := startRow; row < stopRow; row++ {
+				if _, ok := v[row].(*smartvectors.Constant); !ok {
+					// mark the row as non-constant in the mask for this poly
+					masks[polID] |= 1 << (row % nbFieldPerPoly)
+				} else {
+					// mark the row as constant
+					mConst |= 1 << (row % nbFieldPerPoly)
+				}
+			}
+
+			itM.reset(startRow, stopRow, 0, true)
+			s.gnarkInternal.InnerHash(itM.lit, localRes, k, kz, polID, mConst)
+		}
+
+		constLock.Lock()
+		constPoly.Add(constPoly, localRes)
+		constLock.Unlock()
+	})
+
+	nbCpus := runtime.NumCPU()
+
+	nbColPerTile := 16
+	nbJobs := utils.DivCeil(nbCols, nbColPerTile)
+
+	if nbCols < nbCpus {
+		nbJobs = nbCols
+		nbColPerTile = 1
+	}
+
+	for nbJobs < nbCpus && nbColPerTile > 1 {
+		nbColPerTile--
+		nbJobs = utils.DivCeil(nbCols, nbColPerTile)
+	}
+
+	pool.ExecutePoolChunky(nbJobs, func(jobID int) {
+		startCol := jobID * nbColPerTile
+		stopCol := startCol + nbColPerTile
+		stopCol = min(stopCol, nbCols)
+
+		// each go routine will iterate over a range of columns; we will hash the columns in parallel
+		// and accumulate the result in res (no conflict since each go routine writes to a different range of res)
+
+		// init res with const poly
+		for colID := startCol; colID < stopCol; colID++ {
+			copy(res[colID*N:(colID+1)*N], constPoly)
+		}
+
+		itM := s.newMatrixIterator(v)
+		k := make([]field.Element, N)
+		kz := make([]field.Element, N)
+
+		for startRow := 0; startRow < len(v); startRow += nbFieldPerPoly {
+			polID := startRow / nbFieldPerPoly
+
+			// if it's a constant block, we can skip.
+			if masks[polID] == 0 {
+				continue
+			}
+
+			stopRow := startRow + nbFieldPerPoly
+			stopRow = min(stopRow, len(v))
+
+			// hash the subcolumns.
+			for colID := startCol; colID < stopCol; colID++ {
+				itM.reset(startRow, stopRow, colID, false)
+				s.gnarkInternal.InnerHash(itM.lit, res[colID*N:colID*N+N], k, kz, polID, masks[polID])
+			}
+
+		}
+
+		// mod X^n - 1
+		for colID := startCol; colID < stopCol; colID++ {
+			s.gnarkInternal.Domain.FFTInverse(res[colID*N:(colID+1)*N], fft.DIT, fft.OnCoset(), fft.WithNbTasks(1))
+		}
+
+	})
+
+	return res
+}
+
+// matrixIterator helps allocate resources per go routine
+// and iterate over the columns of a matrix (defined by a list of rows: smart-vectors)
+type matrixIterator struct {
+	it  columnIterator
+	lit *sis.LimbIterator
+}
+
+func (s *Key) newMatrixIterator(v []smartvectors.SmartVector) matrixIterator {
+	w := matrixIterator{
+		it: columnIterator{
+			v: v,
+		},
+	}
+	w.lit = sis.NewLimbIterator(&w.it, s.LogTwoBound/8)
+	return w
+}
+
+func (w *matrixIterator) reset(startRow, stopRow, colIndex int, constIT bool) {
+	w.it.startRow = startRow
+	w.it.endRow = stopRow
+	w.it.colIndex = colIndex
+	w.it.isConstIT = constIT
+	w.lit.Reset(&w.it)
+}
+
+// columnIterator is a helper struct to iterate over the columns of a matrix
+// it implements the sis.ElementIterator interface
+type columnIterator struct {
+	v                []smartvectors.SmartVector
+	startRow, endRow int
+	colIndex         int
+	isConstIT        bool
+}
+
+func (it *columnIterator) Next() (field.Element, bool) {
+	if it.endRow == it.startRow {
+		return field.Element{}, false
+	}
+	row := it.v[it.startRow]
+	_, constRow := row.(*smartvectors.Constant)
+	it.startRow++
+
+	// for a const iterator; we only return constant rows.
+	// for a non-const iterator; we filter out constant rows.
+	if (it.isConstIT && constRow) || (!it.isConstIT && !constRow) {
+		return row.Get(it.colIndex), true
+	}
+	return field.Element{}, true
+}
diff --git a/prover/crypto/ringsis/ringsis_64_8/transversal_hash_test.go b/prover/crypto/ringsis/transversal_hash_test.go
similarity index 50%
rename from prover/crypto/ringsis/ringsis_64_8/transversal_hash_test.go
rename to prover/crypto/ringsis/transversal_hash_test.go
index d431a276..b5c7f1f1 100644
--- a/prover/crypto/ringsis/ringsis_64_8/transversal_hash_test.go
+++ b/prover/crypto/ringsis/transversal_hash_test.go
@@ -1,19 +1,13 @@
-// Code generated by bavard DO NOT EDIT
-
-package ringsis_64_8_test
+package ringsis
 
 import (
 	"fmt"
 	"math/rand/v2"
 	"testing"
 
-	"github.com/consensys/gnark-crypto/ecc/bls12-377/fr/fft"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis"
-	"github.com/consensys/linea-monorepo/prover/crypto/ringsis/ringsis_64_8"
 	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
-	"github.com/consensys/linea-monorepo/prover/maths/common/vector"
-	wfft "github.com/consensys/linea-monorepo/prover/maths/fft"
 	"github.com/consensys/linea-monorepo/prover/maths/field"
+	"github.com/consensys/linea-monorepo/prover/utils"
 	"github.com/stretchr/testify/require"
 )
 
@@ -59,56 +53,88 @@ func regularRandomTestVector(rng *rand.Rand, numRow, numCols int) []smartvectors
 }
 
 func TestSmartVectorTransversalSisHash(t *testing.T) {
-
 	var (
 		numReps   = 64
-		numCols   = 16
-		rng       = rand.New(rand.NewChaCha8([32]byte{}))
-		domain    = fft.NewDomain(64, fft.WithShift(wfft.GetOmega(64*2)))
-		twiddles  = ringsis_64_8.PrecomputeTwiddlesCoset(domain.Generator, domain.FrMultiplicativeGen)
-		params    = ringsis.Params{LogTwoBound: 8, LogTwoDegree: 6}
+		nbCols    = 16
+		rng       = rand.New(utils.NewRandSource(77442)) // nolint
+		params    = Params{LogTwoBound: 16, LogTwoDegree: 6}
 		testCases = [][]smartvectors.SmartVector{
-			constantRandomTestVector(rng, 2, numCols),
-			regularRandomTestVector(rng, 2, numCols),
+			constantRandomTestVector(rng, 4, nbCols),
+			regularRandomTestVector(rng, 4, nbCols),
 		}
 	)
 
 	for i := 0; i < numReps; i++ {
-		testCases = append(testCases, fullyRandomTestVector(rng, 2, numCols))
+		testCases = append(testCases, fullyRandomTestVector(rng, 4, nbCols))
 	}
 
 	for i := 0; i < numReps; i++ {
-		testCases = append(testCases, fullyRandomTestVector(rng, 8, 2*numCols))
+		testCases = append(testCases, fullyRandomTestVector(rng, 8, nbCols))
 	}
 
 	for i, c := range testCases {
 		t.Run(fmt.Sprintf("testcase-%v", i), func(t *testing.T) {
-
+			assert := require.New(t)
 			var (
-				numRow = len(c)
-				key    = ringsis.GenerateKey(params, numRow)
-				result = ringsis_64_8.TransversalHash(
-					key.Ag(),
-					c,
-					twiddles,
-					domain,
-				)
+				nbRows = len(c)
+				nbCols = c[0].Len()
+				key    = GenerateKey(params, nbRows)
+				result = key.TransversalHash(c)
 			)
 
-			for col := 0; col < numCols; col++ {
-				column := make([]field.Element, numRow)
-				for r := 0; r < numRow; r++ {
+			offset := key.modulusDegree()
+
+			for col := 0; col < nbCols; col++ {
+				column := make([]field.Element, nbRows)
+				for r := 0; r < nbRows; r++ {
 					column[r] = c[r].Get(col)
 				}
 
 				colHash := key.Hash(column)
-				require.Equalf(
-					t,
-					vector.Prettify(colHash),
-					vector.Prettify(result[64*col:64*col+64]),
-					"column %v", col,
-				)
+				for j := 0; j < len(colHash); j++ {
+					assert.True(colHash[j].Equal(&result[offset*col+j]), "transversal hash does not match col hash")
+				}
 			}
 		})
 	}
 }
+
+func BenchmarkTransversalHash(b *testing.B) {
+
+	var (
+		numRow          = 1024
+		numCols         = 1024
+		rng             = rand.New(utils.NewRandSource(77442)) // nolint
+		params          = Params{LogTwoBound: 16, LogTwoDegree: 6}
+		numInputPerPoly = params.OutputSize() / (field.Bytes * 8 / params.LogTwoBound)
+		key             = GenerateKey(params, numRow)
+		numTestCases    = 1 << numInputPerPoly
+		numPoly         = numRow / numInputPerPoly
+	)
+
+	for tc := 0; tc < numTestCases; tc++ {
+
+		b.Run(fmt.Sprintf("testcase-%b", tc), func(b *testing.B) {
+
+			inputs := make([]smartvectors.SmartVector, 0, numPoly*numInputPerPoly)
+
+			for p := 0; p < numPoly; p++ {
+				for i := 0; i < numInputPerPoly; i++ {
+					if (tc>>i)&1 == 0 {
+						inputs = append(inputs, randomConstRow(rng, numCols))
+					} else {
+						inputs = append(inputs, randomRegularRow(rng, numCols))
+					}
+				}
+			}
+
+			b.ResetTimer()
+
+			for c := 0; c < b.N; c++ {
+				_ = key.TransversalHash(inputs)
+			}
+
+		})
+
+	}
+}
diff --git a/prover/go.mod b/prover/go.mod
index c0ed00d5..30e0b131 100644
--- a/prover/go.mod
+++ b/prover/go.mod
@@ -1,15 +1,12 @@
 module github.com/consensys/linea-monorepo/prover
 
-go 1.22.7
-
-toolchain go1.23.0
+go 1.23.0
 
 require (
-	github.com/bits-and-blooms/bitset v1.14.3
-	github.com/consensys/bavard v0.1.24
+	github.com/bits-and-blooms/bitset v1.20.0
 	github.com/consensys/compress v0.2.5
-	github.com/consensys/gnark v0.11.1-0.20250107100237-2cb190338a01
-	github.com/consensys/gnark-crypto v0.14.1-0.20250515163241-5b554443cce2
+	github.com/consensys/gnark v0.12.1-0.20250604132941-716710f02181
+	github.com/consensys/gnark-crypto v0.17.1-0.20250528013212-404f8e5110fa
 	github.com/consensys/go-corset v1.0.7
 	github.com/crate-crypto/go-kzg-4844 v1.1.0
 	github.com/dlclark/regexp2 v1.11.2
@@ -26,10 +23,10 @@ require (
 	github.com/sirupsen/logrus v1.9.3
 	github.com/spf13/cobra v1.8.1
 	github.com/spf13/viper v1.19.0
-	github.com/stretchr/testify v1.9.0
-	golang.org/x/crypto v0.31.0
+	github.com/stretchr/testify v1.10.0
+	golang.org/x/crypto v0.35.0
 	golang.org/x/net v0.27.0
-	golang.org/x/sync v0.10.0
+	golang.org/x/sync v0.11.0
 	golang.org/x/time v0.5.0
 )
 
@@ -46,6 +43,7 @@ require (
 	github.com/cockroachdb/pebble v1.1.1 // indirect
 	github.com/cockroachdb/redact v1.1.5 // indirect
 	github.com/cockroachdb/tokenbucket v0.0.0-20230807174530-cc333fc44b06 // indirect
+	github.com/consensys/bavard v0.1.31-0.20250406004941-2db259e4b582 // indirect
 	github.com/crate-crypto/go-ipa v0.0.0-20240223125850-b1e8a79f509c // indirect
 	github.com/decred/dcrd/dcrec/secp256k1/v4 v4.3.0 // indirect
 	github.com/ethereum/c-kzg-4844 v1.0.3 // indirect
@@ -65,7 +63,7 @@ require (
 	github.com/holiman/bloomfilter/v2 v2.0.3 // indirect
 	github.com/holiman/uint256 v1.3.1 // indirect
 	github.com/inconshreveable/mousetrap v1.1.0 // indirect
-	github.com/ingonyama-zk/icicle/v3 v3.1.1-0.20241118092657-fccdb2f0921b // indirect
+	github.com/ingonyama-zk/icicle-gnark/v3 v3.2.2 // indirect
 	github.com/klauspost/compress v1.17.7 // indirect
 	github.com/kr/pretty v0.3.1 // indirect
 	github.com/kr/text v0.2.0 // indirect
@@ -89,7 +87,7 @@ require (
 	github.com/sourcegraph/conc v0.3.0 // indirect
 	github.com/spf13/afero v1.11.0 // indirect
 	github.com/spf13/cast v1.6.0 // indirect
-	github.com/spf13/pflag v1.0.5 // indirect
+	github.com/spf13/pflag v1.0.6 // indirect
 	github.com/subosito/gotenv v1.6.0 // indirect
 	github.com/supranational/blst v0.3.12 // indirect
 	github.com/syndtr/goleveldb v1.0.1-0.20210819022825-2ae1ddf74ef7 // indirect
@@ -99,7 +97,7 @@ require (
 	github.com/yusufpapurcu/wmi v1.2.4 // indirect
 	go.uber.org/multierr v1.11.0 // indirect
 	golang.org/x/term v0.29.0 // indirect
-	golang.org/x/text v0.21.0 // indirect
+	golang.org/x/text v0.22.0 // indirect
 	google.golang.org/protobuf v1.34.2 // indirect
 	gopkg.in/ini.v1 v1.67.0 // indirect
 	rsc.io/tmplfunc v0.0.3 // indirect
diff --git a/prover/go.sum b/prover/go.sum
index 23587350..45fd70d8 100644
--- a/prover/go.sum
+++ b/prover/go.sum
@@ -52,8 +52,8 @@ github.com/armon/go-radix v0.0.0-20180808171621-7fddfc383310/go.mod h1:ufUuZ+zHj
 github.com/beorn7/perks v1.0.1 h1:VlbKKnNfV8bJzeqoa4cOKqO6bYr3WgKZxO8Z16+hsOM=
 github.com/beorn7/perks v1.0.1/go.mod h1:G2ZrVWU2WbWT9wwq4/hrbKbnv/1ERSJQ0ibhJ6rlkpw=
 github.com/bgentry/speakeasy v0.1.0/go.mod h1:+zsyZBPWlz7T6j88CTgSN5bM796AkVf0kBD4zp0CCIs=
-github.com/bits-and-blooms/bitset v1.14.3 h1:Gd2c8lSNf9pKXom5JtD7AaKO8o7fGQ2LtFj1436qilA=
-github.com/bits-and-blooms/bitset v1.14.3/go.mod h1:7hO7Gc7Pp1vODcmWvKMRA9BNmbv6a/7QIWpPxHddWR8=
+github.com/bits-and-blooms/bitset v1.20.0 h1:2F+rfL86jE2d/bmw7OhqUg2Sj/1rURkBn3MdfoPyRVU=
+github.com/bits-and-blooms/bitset v1.20.0/go.mod h1:7hO7Gc7Pp1vODcmWvKMRA9BNmbv6a/7QIWpPxHddWR8=
 github.com/bketelsen/crypt v0.0.4/go.mod h1:aI6NrJ0pMGgvZKL1iVgXLnfIFJtfV+bKCoqOes/6LfM=
 github.com/blang/semver/v4 v4.0.0 h1:1PFHFE6yCCTv8C1TeyNNarDzntLi7wMI5i/pzqYIsAM=
 github.com/blang/semver/v4 v4.0.0/go.mod h1:IbckMUScFkM3pff0VJDNKRiT6TG/YpiHIM2yvyW5YoQ=
@@ -92,14 +92,14 @@ github.com/cockroachdb/redact v1.1.5 h1:u1PMllDkdFfPWaNGMyLD1+so+aq3uUItthCFqzwP
 github.com/cockroachdb/redact v1.1.5/go.mod h1:BVNblN9mBWFyMyqK1k3AAiSxhvhfK2oOZZ2lK+dpvRg=
 github.com/cockroachdb/tokenbucket v0.0.0-20230807174530-cc333fc44b06 h1:zuQyyAKVxetITBuuhv3BI9cMrmStnpT18zmgmTxunpo=
 github.com/cockroachdb/tokenbucket v0.0.0-20230807174530-cc333fc44b06/go.mod h1:7nc4anLGjupUW/PeY5qiNYsdNXj7zopG+eqsS7To5IQ=
-github.com/consensys/bavard v0.1.24 h1:Lfe+bjYbpaoT7K5JTFoMi5wo9V4REGLvQQbHmatoN2I=
-github.com/consensys/bavard v0.1.24/go.mod h1:k/zVjHHC4B+PQy1Pg7fgvG3ALicQw540Crag8qx+dZs=
+github.com/consensys/bavard v0.1.31-0.20250406004941-2db259e4b582 h1:dTlIwEdFQmldzFf5F6bbTcYWhvnAgZai2g8eq3Wwxqg=
+github.com/consensys/bavard v0.1.31-0.20250406004941-2db259e4b582/go.mod h1:k/zVjHHC4B+PQy1Pg7fgvG3ALicQw540Crag8qx+dZs=
 github.com/consensys/compress v0.2.5 h1:gJr1hKzbOD36JFsF1AN8lfXz1yevnJi1YolffY19Ntk=
 github.com/consensys/compress v0.2.5/go.mod h1:pyM+ZXiNUh7/0+AUjUf9RKUM6vSH7T/fsn5LLS0j1Tk=
-github.com/consensys/gnark v0.11.1-0.20250107100237-2cb190338a01 h1:YCHI04nMKFC60P78x+05QR3jxgBFlDXzJq+7bQOmbfs=
-github.com/consensys/gnark v0.11.1-0.20250107100237-2cb190338a01/go.mod h1:8YNyW/+XsYiLRzROLaj/PSktYO4VAdv6YW1b1P3UsZk=
-github.com/consensys/gnark-crypto v0.14.1-0.20250515163241-5b554443cce2 h1:N3OCv+VoCn4CEvhRc3vKXyE3S1Si7OSoFTO3bv6ZEgQ=
-github.com/consensys/gnark-crypto v0.14.1-0.20250515163241-5b554443cce2/go.mod h1:ePFa23CZLMRMHxQpY5nMaiAZ3yuEIayaB8ElEvlwLEs=
+github.com/consensys/gnark v0.12.1-0.20250604132941-716710f02181 h1:FXHYtmqRsLWruPo/+v57JaOVipKb9glGjQMfrX4vQ7g=
+github.com/consensys/gnark v0.12.1-0.20250604132941-716710f02181/go.mod h1:Q3mkMtUVaujW6RVYxclHkQa1EiAMfXdCBL7W055rjEk=
+github.com/consensys/gnark-crypto v0.17.1-0.20250528013212-404f8e5110fa h1:Sb+sRLftvPWQlqXBW+6EjGmW28Yfk/9eRvLQcRkfp20=
+github.com/consensys/gnark-crypto v0.17.1-0.20250528013212-404f8e5110fa/go.mod h1:L3mXGFTe1ZN+RSJ+CLjUt9x7PNdx8ubaYfDROyp2Z8c=
 github.com/consensys/go-corset v1.0.7 h1:Ym3vjHtVSk59/q7p9/VFvwQkIqyCy1m61DgkNcKlyg4=
 github.com/consensys/go-corset v1.0.7/go.mod h1:JKJTywyjBE0Goco4DokW4BAkF6R+jtoo3XgkICwxrcw=
 github.com/coreos/go-semver v0.3.0/go.mod h1:nnelYz7RCh+5ahJtPPxZlU+153eP4D4r3EedlOD2RNk=
@@ -290,8 +290,8 @@ github.com/icza/mighty v0.0.0-20180919140131-cfd07d671de6/go.mod h1:xQig96I1VNBD
 github.com/inconshreveable/mousetrap v1.0.0/go.mod h1:PxqpIevigyE2G7u3NXJIT2ANytuPF1OarO4DADm73n8=
 github.com/inconshreveable/mousetrap v1.1.0 h1:wN+x4NVGpMsO7ErUn/mUI3vEoE6Jt13X2s0bqwp9tc8=
 github.com/inconshreveable/mousetrap v1.1.0/go.mod h1:vpF70FUmC8bwa3OWnCshd2FqLfsEA9PFc4w1p2J65bw=
-github.com/ingonyama-zk/icicle/v3 v3.1.1-0.20241118092657-fccdb2f0921b h1:AvQTK7l0PTHODD06PVQX1Tn2o29sRIaKIDOvTJmKurY=
-github.com/ingonyama-zk/icicle/v3 v3.1.1-0.20241118092657-fccdb2f0921b/go.mod h1:e0JHb27/P6WorCJS3YolbY5XffS4PGBuoW38OthLkDs=
+github.com/ingonyama-zk/icicle-gnark/v3 v3.2.2 h1:B+aWVgAx+GlFLhtYjIaF0uGjU3rzpl99Wf9wZWt+Mq8=
+github.com/ingonyama-zk/icicle-gnark/v3 v3.2.2/go.mod h1:CH/cwcr21pPWH+9GtK/PFaa4OGTv4CtfkCKro6GpbRE=
 github.com/josharian/intern v1.0.0/go.mod h1:5DoeVV0s6jJacbCEi61lwdGj/aVlrQvzHFFd8Hwg//Y=
 github.com/json-iterator/go v1.1.11/go.mod h1:KdQUCv79m/52Kvf8AW2vK1V8akMuk1QjK/uOdHXbAo4=
 github.com/jstemmer/go-junit-report v0.0.0-20190106144839-af01ea7f8024/go.mod h1:6v2b51hI/fHJwM22ozAgKL4VKDeJcHhJFhtBdhmNjmU=
@@ -437,8 +437,9 @@ github.com/spf13/cobra v1.2.1/go.mod h1:ExllRjgxM/piMAM+3tAZvg8fsklGAf3tPfi+i8t6
 github.com/spf13/cobra v1.8.1 h1:e5/vxKd/rZsfSJMUX1agtjeTDf+qv1/JdBF8gg5k9ZM=
 github.com/spf13/cobra v1.8.1/go.mod h1:wHxEcudfqmLYa8iTfL+OuZPbBZkmvliBWKIezN3kD9Y=
 github.com/spf13/jwalterweatherman v1.1.0/go.mod h1:aNWZUN0dPAAO/Ljvb5BEdw96iTZ0EXowPYD95IqWIGo=
-github.com/spf13/pflag v1.0.5 h1:iy+VFUOCP1a+8yFto/drg2CJ5u0yRoB7fZw3DKv/JXA=
 github.com/spf13/pflag v1.0.5/go.mod h1:McXfInJRrz4CZXVZOBLb0bTZqETkiAhM9Iw0y3An2Bg=
+github.com/spf13/pflag v1.0.6 h1:jFzHGLGAlb3ruxLB8MhbI6A8+AQX/2eW4qeyNZXNp2o=
+github.com/spf13/pflag v1.0.6/go.mod h1:McXfInJRrz4CZXVZOBLb0bTZqETkiAhM9Iw0y3An2Bg=
 github.com/spf13/viper v1.8.1/go.mod h1:o0Pch8wJ9BVSWGQMbra6iw0oQ5oktSIBaujf1rJH9Ns=
 github.com/spf13/viper v1.19.0 h1:RWq5SEjt8o25SROyN3z2OrDB9l7RPd3lwTWU8EcEdcI=
 github.com/spf13/viper v1.19.0/go.mod h1:GQUN9bilAbhU/jgc1bKs99f/suXKeUMct8Adx5+Ntkg=
@@ -455,8 +456,9 @@ github.com/stretchr/testify v1.7.0/go.mod h1:6Fq8oRcR53rry900zMqJjRRixrwX3KX962/
 github.com/stretchr/testify v1.7.1/go.mod h1:6Fq8oRcR53rry900zMqJjRRixrwX3KX962/h/Wwjteg=
 github.com/stretchr/testify v1.8.0/go.mod h1:yNjHg4UonilssWZ8iaSj1OCr/vHnekPRkoO+kdMU+MU=
 github.com/stretchr/testify v1.8.4/go.mod h1:sz/lmYIOXD/1dqDmKjjqLyZ2RngseejIcXlSw2iwfAo=
-github.com/stretchr/testify v1.9.0 h1:HtqpIVDClZ4nwg75+f6Lvsy/wHu+3BoSGCbBAcpTsTg=
 github.com/stretchr/testify v1.9.0/go.mod h1:r2ic/lqez/lEtzL7wO/rwa5dbSLXVDPFyf8C91i36aY=
+github.com/stretchr/testify v1.10.0 h1:Xv5erBjTwe/5IxqUQTdXv5kgmIvbHo3QQyRwhJsOfJA=
+github.com/stretchr/testify v1.10.0/go.mod h1:r2ic/lqez/lEtzL7wO/rwa5dbSLXVDPFyf8C91i36aY=
 github.com/subosito/gotenv v1.2.0/go.mod h1:N0PQaV/YGNqwC0u51sEeR/aUtSLEXKX9iv69rRypqCw=
 github.com/subosito/gotenv v1.6.0 h1:9NlTDc1FTs4qu0DDq7AEtTPNw6SVm7uBMsUCUjABIf8=
 github.com/subosito/gotenv v1.6.0/go.mod h1:Dk4QP5c2W3ibzajGcXpNraDfq2IrhjMIvMSWPKKo0FU=
@@ -502,8 +504,8 @@ golang.org/x/crypto v0.0.0-20191011191535-87dc89f01550/go.mod h1:yigFU9vqHzYiE8U
 golang.org/x/crypto v0.0.0-20200622213623-75b288015ac9/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
 golang.org/x/crypto v0.0.0-20210711020723-a769d52b0f97/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc=
 golang.org/x/crypto v0.0.0-20210921155107-089bfa567519/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc=
-golang.org/x/crypto v0.31.0 h1:ihbySMvVjLAeSH1IbfcRTkD/iNscyz8rGzjF/E5hV6U=
-golang.org/x/crypto v0.31.0/go.mod h1:kDsLvtWBEx7MV9tJOj9bnXsPbxwJQ6csT/x4KIN4Ssk=
+golang.org/x/crypto v0.35.0 h1:b15kiHdrGCHrP6LvwaQ3c03kgNhhiMgvlhxHQhmg2Xs=
+golang.org/x/crypto v0.35.0/go.mod h1:dy7dXNW32cAb/6/PRuTNsix8T+vJAqvuIy5Bli/x0YQ=
 golang.org/x/exp v0.0.0-20190121172915-509febef88a4/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA=
 golang.org/x/exp v0.0.0-20190306152737-a1d7652674e8/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA=
 golang.org/x/exp v0.0.0-20190510132918-efd6b22b2522/go.mod h1:ZjyILWgesfNpC6sMxTJOJm9Kp84zZh5NQWvqDGG3Qr8=
@@ -613,8 +615,8 @@ golang.org/x/sync v0.0.0-20201207232520-09787c993a3a/go.mod h1:RxMgew5VJxzue5/jJ
 golang.org/x/sync v0.0.0-20210220032951-036812b2e83c/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
 golang.org/x/sync v0.0.0-20220722155255-886fb9371eb4/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
 golang.org/x/sync v0.1.0/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
-golang.org/x/sync v0.10.0 h1:3NQrjDixjgGwUOCaF8w2+VYHv0Ve/vGYSbdkTa98gmQ=
-golang.org/x/sync v0.10.0/go.mod h1:Czt+wKu1gCyEFDUtn0jG5QVvpJ6rzVqr5aXyt9drQfk=
+golang.org/x/sync v0.11.0 h1:GGz8+XQP4FvTTrjZPzNKTMFtSXH80RAzG+5ghFPgK9w=
+golang.org/x/sync v0.11.0/go.mod h1:Czt+wKu1gCyEFDUtn0jG5QVvpJ6rzVqr5aXyt9drQfk=
 golang.org/x/sys v0.0.0-20180823144017-11551d06cbcc/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
 golang.org/x/sys v0.0.0-20180830151530-49385e6e1522/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
 golang.org/x/sys v0.0.0-20180909124046-d0be0721c37e/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
@@ -694,8 +696,8 @@ golang.org/x/text v0.3.5/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ=
 golang.org/x/text v0.3.7/go.mod h1:u+2+/6zg+i71rQMx5EYifcz6MCKuco9NR6JIITiCfzQ=
 golang.org/x/text v0.7.0/go.mod h1:mrYo+phRRbMaCq/xk9113O4dZlRixOauAjOtrjsXDZ8=
 golang.org/x/text v0.8.0/go.mod h1:e1OnstbJyHTd6l/uOt8jFFHp6TRDWZR/bV3emEE/zU8=
-golang.org/x/text v0.21.0 h1:zyQAAkrwaneQ066sspRyJaG9VNi/YJ1NfzcGB3hZ/qo=
-golang.org/x/text v0.21.0/go.mod h1:4IBbMaMmOPCJ8SecivzSH54+73PCFmPWxNTLm+vZkEQ=
+golang.org/x/text v0.22.0 h1:bofq7m3/HAFvbF51jz3Q9wLg3jkvSPuiZu/pD1XwgtM=
+golang.org/x/text v0.22.0/go.mod h1:YRoo4H8PVmsu+E3Ou7cqLVH8oXWIHVoX0jqUWALQhfY=
 golang.org/x/time v0.0.0-20181108054448-85acf8d2951c/go.mod h1:tRJNPiyCQ0inRvYxbN9jk5I+vvW/OXSQhTDSoE431IQ=
 golang.org/x/time v0.0.0-20190308202827-9d24e82272b4/go.mod h1:tRJNPiyCQ0inRvYxbN9jk5I+vvW/OXSQhTDSoE431IQ=
 golang.org/x/time v0.0.0-20191024005414-555d28b269f0/go.mod h1:tRJNPiyCQ0inRvYxbN9jk5I+vvW/OXSQhTDSoE431IQ=
diff --git a/prover/maths/field/bls12_377.go b/prover/maths/field/bls12_377.go
index ab1f0dde..bbb2b6e5 100644
--- a/prover/maths/field/bls12_377.go
+++ b/prover/maths/field/bls12_377.go
@@ -18,6 +18,9 @@ import (
 // `field.Element(1, 0, 0, 0)` represent valid field elements.
 type Element = fr.Element
 
+// Vector aliases [fr.Vector] and represents a slice of field elements.
+type Vector = fr.Vector
+
 const (
 	// RootOfUnityOrder is the smallest integer such that
 	// 		[RootOfUnity] ** (2 ** RootOfUnityOrder) == 1
@@ -148,3 +151,7 @@ func PseudoRandTruncated(rng *rand.Rand, sizeByte int) Element {
 	res.SetBigInt(bigInt)
 	return res
 }
+
+func Generator(m uint64) (Element, error) {
+	return fr.Generator(m)
+}
diff --git a/prover/protocol/dedicated/plonk/rangechecker.go b/prover/protocol/dedicated/plonk/rangechecker.go
index 93030001..453d42f6 100644
--- a/prover/protocol/dedicated/plonk/rangechecker.go
+++ b/prover/protocol/dedicated/plonk/rangechecker.go
@@ -18,7 +18,7 @@ import (
 
 // Compile-time sanity check the satisfaction of the interface RangeChecker by
 // externalRangeChecker
-var _ frontend.Rangechecker = &externalRangeChecker{}
+var _ frontend.Rangechecker = (*externalRangeChecker)(nil)
 
 // externalRangeChecker wraps the frontend.Builder. We require that the builder
 // also implements [frontend.Committer].
@@ -49,7 +49,7 @@ type externalRangeChecker struct {
 // storeCommitBuilder implements [frontend.Builder], [frontend.Committer] and
 // [kvstore.Store].
 type storeCommitBuilder interface {
-	frontend.Builder
+	frontend.Builder[constraint.U64]
 	frontend.Committer
 	SetKeyValue(key, value any)
 	GetKeyValue(key any) (value any)
@@ -78,8 +78,8 @@ type storeCommitBuilder interface {
 //	```
 func newExternalRangeChecker(comp *wizard.CompiledIOP, addGateForRangeCheck bool) (frontend.NewBuilder, func() [][2]int) {
 	rcCols := make(chan [][2]int)
-	return func(field *big.Int, config frontend.CompileConfig) (frontend.Builder, error) {
-			b, err := scs.NewBuilder(field, config)
+	return func(field *big.Int, config frontend.CompileConfig) (frontend.Builder[constraint.U64], error) {
+			b, err := scs.NewBuilder[constraint.U64](field, config)
 			if err != nil {
 				return nil, fmt.Errorf("could not create new native builder: %w", err)
 			}
diff --git a/prover/utils/utils.go b/prover/utils/utils.go
index d0343abe..d70b542b 100644
--- a/prover/utils/utils.go
+++ b/prover/utils/utils.go
@@ -46,7 +46,7 @@ func DivCeil(a, b int) int {
 func DivExact(a, b int) int {
 	res := a / b
 	if res*b != a {
-		panic("inexact division")
+		Panic("inexact division %d/%d", a, b)
 	}
 	return res
 }