diff --git a/include/bootstrap.h b/include/bootstrap.h
index d1bbd7dae..5b1599509 100644
--- a/include/bootstrap.h
+++ b/include/bootstrap.h
@@ -5,9 +5,6 @@
 
 extern "C" {
 
-void cuda_initialize_twiddles(uint32_t polynomial_size, void *v_stream,
-                              uint32_t gpu_index);
-
 void cuda_convert_lwe_bootstrap_key_32(void *dest, void *src, void *v_stream,
                                        uint32_t gpu_index,
                                        uint32_t input_lwe_dim,
diff --git a/src/bootstrap_amortized.cuh b/src/bootstrap_amortized.cuh
index 24183b5cd..0135e35b2 100644
--- a/src/bootstrap_amortized.cuh
+++ b/src/bootstrap_amortized.cuh
@@ -165,8 +165,6 @@ __global__ void device_bootstrap_amortized(
       NSMFFT_direct<HalfDegree<params>>(accumulator_fft);
       synchronize_threads_in_block();
 
-      correction_direct_fft_inplace<params>(accumulator_fft);
-
       // Get the bootstrapping key piece necessary for the multiplication
       // It is already in the Fourier domain
       auto bsk_mask_slice =
@@ -194,8 +192,6 @@ __global__ void device_bootstrap_amortized(
       NSMFFT_direct<HalfDegree<params>>(accumulator_fft);
       synchronize_threads_in_block();
 
-      correction_direct_fft_inplace<params>(accumulator_fft);
-
       auto bsk_mask_slice_2 =
           get_ith_mask_kth_block(bootstrapping_key, iteration, 1, level,
                                  polynomial_size, 1, level_count);
@@ -215,10 +211,6 @@ __global__ void device_bootstrap_amortized(
     if constexpr (SMD == FULLSM || SMD == NOSM) {
       synchronize_threads_in_block();
 
-      correction_inverse_fft_inplace<params>(mask_res_fft);
-      correction_inverse_fft_inplace<params>(body_res_fft);
-      synchronize_threads_in_block();
-
       NSMFFT_inverse<HalfDegree<params>>(mask_res_fft);
       NSMFFT_inverse<HalfDegree<params>>(body_res_fft);
 
@@ -227,6 +219,7 @@ __global__ void device_bootstrap_amortized(
       add_to_torus<Torus, params>(mask_res_fft, accumulator_mask);
       add_to_torus<Torus, params>(body_res_fft, accumulator_body);
       synchronize_threads_in_block();
+
     } else {
       int tid = threadIdx.x;
 #pragma unroll
@@ -236,9 +229,6 @@ __global__ void device_bootstrap_amortized(
       }
       synchronize_threads_in_block();
 
-      correction_inverse_fft_inplace<params>(accumulator_fft);
-      synchronize_threads_in_block();
-
       NSMFFT_inverse<HalfDegree<params>>(accumulator_fft);
       synchronize_threads_in_block();
 
@@ -253,9 +243,6 @@ __global__ void device_bootstrap_amortized(
       }
       synchronize_threads_in_block();
 
-      correction_inverse_fft_inplace<params>(accumulator_fft);
-      synchronize_threads_in_block();
-
       NSMFFT_inverse<HalfDegree<params>>(accumulator_fft);
       synchronize_threads_in_block();
 
diff --git a/src/bootstrap_low_latency.cuh b/src/bootstrap_low_latency.cuh
index 059812849..33ec3d005 100644
--- a/src/bootstrap_low_latency.cuh
+++ b/src/bootstrap_low_latency.cuh
@@ -38,9 +38,6 @@ mul_ggsw_glwe(Torus *accumulator, double2 *fft, double2 *mask_join_buffer,
   NSMFFT_direct<HalfDegree<params>>(fft);
   synchronize_threads_in_block();
 
-  correction_direct_fft_inplace<params>(fft);
-  synchronize_threads_in_block();
-
   // Get the pieces of the bootstrapping key that will be needed for the
   // external product; blockIdx.x is the ID of the block that's executing
   // this function, so we end up getting the lines of the bootstrapping key
@@ -113,9 +110,6 @@ mul_ggsw_glwe(Torus *accumulator, double2 *fft, double2 *mask_join_buffer,
 
   synchronize_threads_in_block();
 
-  correction_inverse_fft_inplace<params>(fft);
-  synchronize_threads_in_block();
-
   // Perform the inverse FFT on the result of the GGSW x GLWE and add to the
   // accumulator
   NSMFFT_inverse<HalfDegree<params>>(fft);
diff --git a/src/crypto/bootstrapping_key.cuh b/src/crypto/bootstrapping_key.cuh
index 6148add7e..3631648c8 100644
--- a/src/crypto/bootstrapping_key.cuh
+++ b/src/crypto/bootstrapping_key.cuh
@@ -38,39 +38,6 @@ __device__ T *get_ith_body_kth_block(T *ptr, int i, int k, int level,
               polynomial_size / 2];
 }
 
-void cuda_initialize_twiddles(uint32_t polynomial_size, void *v_stream,
-                              uint32_t gpu_index) {
-  cudaSetDevice(gpu_index);
-  int sw_size = polynomial_size / 2;
-  short *sw1_h, *sw2_h;
-
-  sw1_h = (short *)malloc(sizeof(short) * sw_size);
-  sw2_h = (short *)malloc(sizeof(short) * sw_size);
-
-  memset(sw1_h, 0, sw_size * sizeof(short));
-  memset(sw2_h, 0, sw_size * sizeof(short));
-  int cnt = 0;
-  for (int i = 1, j = 0; i < polynomial_size / 2; i++) {
-    int bit = (polynomial_size / 2) >> 1;
-    for (; j & bit; bit >>= 1)
-      j ^= bit;
-    j ^= bit;
-
-    if (i < j) {
-      sw1_h[cnt] = i;
-      sw2_h[cnt] = j;
-      cnt++;
-    }
-  }
-  auto stream = static_cast<cudaStream_t *>(v_stream);
-  cudaMemcpyToSymbolAsync(SW1, sw1_h, sw_size * sizeof(short), 0,
-                          cudaMemcpyHostToDevice, *stream);
-  cudaMemcpyToSymbolAsync(SW2, sw2_h, sw_size * sizeof(short), 0,
-                          cudaMemcpyHostToDevice, *stream);
-  free(sw1_h);
-  free(sw2_h);
-}
-
 template <typename T, typename ST>
 void cuda_convert_lwe_bootstrap_key(double2 *dest, ST *src, void *v_stream,
                                     uint32_t gpu_index, uint32_t input_lwe_dim,
@@ -101,10 +68,9 @@ void cuda_convert_lwe_bootstrap_key(double2 *dest, ST *src, void *v_stream,
     int complex_current_poly_idx = i * polynomial_size / 2;
     int torus_current_poly_idx = i * polynomial_size;
     for (int j = 0; j < polynomial_size / 2; j++) {
-      h_bsk[complex_current_poly_idx + j].x =
-          src[torus_current_poly_idx + 2 * j];
+      h_bsk[complex_current_poly_idx + j].x = src[torus_current_poly_idx + j];
       h_bsk[complex_current_poly_idx + j].y =
-          src[torus_current_poly_idx + 2 * j + 1];
+          src[torus_current_poly_idx + j + polynomial_size / 2];
       h_bsk[complex_current_poly_idx + j].x /=
           (double)std::numeric_limits<T>::max();
       h_bsk[complex_current_poly_idx + j].y /=
diff --git a/src/crypto/gadget.cuh b/src/crypto/gadget.cuh
index a375acba0..cd0918239 100644
--- a/src/crypto/gadget.cuh
+++ b/src/crypto/gadget.cuh
@@ -34,16 +34,16 @@ public:
     int tid = threadIdx.x;
     current_level -= 1;
     for (int i = 0; i < params::opt / 2; i++) {
-      T res_re = state[tid * 2] & mask_mod_b;
-      T res_im = state[tid * 2 + 1] & mask_mod_b;
-      state[tid * 2] >>= base_log;
-      state[tid * 2 + 1] >>= base_log;
-      T carry_re = ((res_re - 1ll) | state[tid * 2]) & res_re;
-      T carry_im = ((res_im - 1ll) | state[tid * 2 + 1]) & res_im;
+      T res_re = state[tid] & mask_mod_b;
+      T res_im = state[tid + params::degree / 2] & mask_mod_b;
+      state[tid] >>= base_log;
+      state[tid + params::degree / 2] >>= base_log;
+      T carry_re = ((res_re - 1ll) | state[tid]) & res_re;
+      T carry_im = ((res_im - 1ll) | state[tid + params::degree / 2]) & res_im;
       carry_re >>= (base_log - 1);
       carry_im >>= (base_log - 1);
-      state[tid * 2] += carry_re;
-      state[tid * 2 + 1] += carry_im;
+      state[tid] += carry_re;
+      state[tid + params::degree / 2] += carry_im;
       res_re -= carry_re << base_log;
       res_im -= carry_im << base_log;
 
diff --git a/src/crypto/ggsw.cuh b/src/crypto/ggsw.cuh
index 504c4ac81..8ab73ed99 100644
--- a/src/crypto/ggsw.cuh
+++ b/src/crypto/ggsw.cuh
@@ -23,8 +23,8 @@ __global__ void device_batch_fft_ggsw_vector(double2 *dest, T *src,
 
 #pragma unroll
   for (int i = 0; i < log_2_opt; i++) {
-    ST x = src[(2 * tid) + params::opt * offset];
-    ST y = src[(2 * tid + 1) + params::opt * offset];
+    ST x = src[(tid) + params::opt * offset];
+    ST y = src[(tid + params::degree / 2) + params::opt * offset];
     selected_memory[tid].x = x / (double)std::numeric_limits<T>::max();
     selected_memory[tid].y = y / (double)std::numeric_limits<T>::max();
     tid += params::degree / params::opt;
@@ -35,9 +35,6 @@ __global__ void device_batch_fft_ggsw_vector(double2 *dest, T *src,
   NSMFFT_direct<HalfDegree<params>>(selected_memory);
   synchronize_threads_in_block();
 
-  correction_direct_fft_inplace<params>(selected_memory);
-  synchronize_threads_in_block();
-
   // Write the output to global memory
   tid = threadIdx.x;
 #pragma unroll
diff --git a/src/fft/bnsmfft.cuh b/src/fft/bnsmfft.cuh
index dd41ee44e..23cd9a05e 100644
--- a/src/fft/bnsmfft.cuh
+++ b/src/fft/bnsmfft.cuh
@@ -6,55 +6,6 @@
 #include "polynomial/parameters.cuh"
 #include "twiddles.cuh"
 
-/*
- * bit reverse
- *  coefficient bits are reversed based on precalculated indexes
- *  SW1 and SW2
- */
-template <class params> __device__ void bit_reverse_inplace(double2 *A) {
-  int tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    short sw1 = SW1[tid];
-    short sw2 = SW2[tid];
-    double2 tmp = A[sw1];
-    A[sw1] = A[sw2];
-    A[sw2] = tmp;
-    tid += params::degree / params::opt;
-  }
-}
-
-/*
- *  negacyclic twiddle
- *  returns negacyclic twiddle based on degree and index
- *  twiddles are precalculated inside negTwids{3..13} arrays
- */
-template <int degree> __device__ double2 negacyclic_twiddle(int j) {
-  double2 twid;
-  switch (degree) {
-  case 512:
-    twid = negTwids9[j];
-    break;
-  case 1024:
-    twid = negTwids10[j];
-    break;
-  case 2048:
-    twid = negTwids11[j];
-    break;
-  case 4096:
-    twid = negTwids12[j];
-    break;
-  case 8192:
-    twid = negTwids13[j];
-    break;
-  default:
-    twid.x = 0;
-    twid.y = 0;
-    break;
-  }
-  return twid;
-}
-
 /*
  * Direct negacyclic FFT:
  *   - before the FFT the N real coefficients are stored into a
@@ -75,641 +26,120 @@ template <int degree> __device__ double2 negacyclic_twiddle(int j) {
  * forward_negacyclic_fft_inplace function of bootstrap.cuh
  */
 template <class params> __device__ void NSMFFT_direct(double2 *A) {
-  /* First, reverse the bits of the input complex
-   *  The bit reversal for half-size FFT has been stored into the
-   *  SW1 and SW2 arrays beforehand
+
+  /* We don't make bit reverse here, since twiddles are already reversed
    *  Each thread is always in charge of "opt/2" pairs of coefficients,
    *  which is why we always loop through N/2 by N/opt strides
    *  The pragma unroll instruction tells the compiler to unroll the
    *  full loop, which should increase performance
    */
-  bit_reverse_inplace<params>(A);
-  __syncthreads();
 
-  // Now we go through all the levels of the FFT one by one
-  // (instead of recursively)
-  // first iteration: k=1, zeta=i for all coefficients
-  int tid = threadIdx.x;
-  int i1, i2;
-  double2 u, v;
+  size_t tid = threadIdx.x;
+  size_t twid_id;
+  size_t t = params::degree / 2;
+  size_t m = 1;
+  size_t i1, i2;
+  double2 u, v, w;
+  // level 1
+  // we don't make actual complex multiplication on level1 since we have only
+  // one twiddle, it's real and image parts are equal, so we can multiply
+  // it with simpler operations
 #pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 2
-    i1 = tid << 1;
-    i2 = i1 + 1;
+  for (size_t i = 0; i < params::opt / 2; ++i) {
+    i1 = tid;
+    i2 = tid + t;
     u = A[i1];
-    // v = i*A[i2]
-    v.y = A[i2].x;
-    v.x = -A[i2].y;
-    // A[i1] <- A[i1] + i*A[i2]
-    // A[i2] <- A[i1] - i*A[i2]
-    A[i1] += v;
-    A[i2] = u - v;
+    v.x = (A[i2].x - A[i2].y) * 0.707106781186547461715008466854;
+    v.y = (A[i2].x + A[i2].y) * 0.707106781186547461715008466854;
+    A[i1].x += v.x;
+    A[i1].y += v.y;
+
+    A[i2].x = u.x - v.x;
+    A[i2].y = u.y - v.y;
     tid += params::degree / params::opt;
   }
   __syncthreads();
 
-  // second iteration: apply the butterfly pattern
-  // between groups of 4 coefficients
-  // k=2, \zeta=exp(i pi/4) for even coefficients and
-  // exp(3 i pi / 4) for odd coefficients
-  tid = threadIdx.x;
-  // odd = 0 for even coefficients, 1 for odd coefficients
-  int odd = tid & 1;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 2
-    // i1=2*tid if tid is even and 2*tid-1 if it is odd
-    i1 = (tid << 1) - odd;
-    i2 = i1 + 2;
-
-    double a = A[i2].x;
-    double b = A[i2].y;
-    u = A[i1];
-
-    // \zeta_j,2 = exp(-i pi (2j-1)/4) -> j=0: exp(i pi/4) or j=1: exp(-i pi/4)
-    // \zeta_even = sqrt(2)/2 + i * sqrt(2)/2 = sqrt(2)/2*(1+i)
-    // \zeta_odd  = sqrt(2)/2 - i * sqrt(2)/2 = sqrt(2)/2*(1-i)
-
-    // v_j = \zeta_j * (a+i*b)
-    // v_even = sqrt(2)/2*((a-b)+i*(a+b))
-    // v_odd = sqrt(2)/2*(a+b+i*(b-a))
-    v.x =
-        (odd) ? (-0.707106781186548) * (a + b) : (0.707106781186548) * (a - b);
-    v.y = (odd) ? (0.707106781186548) * (a - b) : (0.707106781186548) * (a + b);
-
-    // v.x = (0.707106781186548 * odd) * (a + b) + (0.707106781186548 * (!odd))
-    // * (a - b); v.y = (0.707106781186548 * odd) * (b - a) + (0.707106781186548
-    // * (!odd)) * (a + b);
-
-    A[i1] = u + v;
-    A[i2] = u - v;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // third iteration
-  // from k=3 on, we have to do the full complex multiplication
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 4
-    // rem is the remainder of tid/4. tid takes values:
-    // 0, 1, 2, 3, 4, 5, 6, 7, ... N/4
-    // then rem takes values:
-    // 0, 1, 2, 3, 0, 1, 2, 3, ... N/4
-    // and striding by 4 will allow us to cover all
-    // the coefficients correctly
-    int rem = tid & 3;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 4;
-
-    double2 w = negTwids3[rem];
-    u = A[i1], v = A[i2] * w;
-
-    A[i1] = u + v;
-    A[i2] = u - v;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // 4_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 8
-    // rem is the remainder of tid/8. tid takes values:
-    // 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ... N/4
-    // then rem takes values:
-    // 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, ... N/4
-    // and striding by 8 will allow us to cover all
-    // the coefficients correctly
-    int rem = tid & 7;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 8;
-
-    double2 w = negTwids4[rem];
-    u = A[i1], v = A[i2] * w;
-    A[i1] = u + v;
-    A[i2] = u - v;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // 5_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 16
-    // rem is the remainder of tid/16
-    // and the same logic as for previous iterations applies
-    int rem = tid & 15;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 16;
-    double2 w = negTwids5[rem];
-    u = A[i1], v = A[i2] * w;
-    A[i1] = u + v;
-    A[i2] = u - v;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // 6_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 32
-    // rem is the remainder of tid/32
-    // and the same logic as for previous iterations applies
-    int rem = tid & 31;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 32;
-    double2 w = negTwids6[rem];
-    u = A[i1], v = A[i2] * w;
-    A[i1] = u + v;
-    A[i2] = u - v;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // 7_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 64
-    // rem is the remainder of tid/64
-    // and the same logic as for previous iterations applies
-    int rem = tid & 63;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 64;
-    double2 w = negTwids7[rem];
-    u = A[i1], v = A[i2] * w;
-    A[i1] = u + v;
-    A[i2] = u - v;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // 8_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 128
-    // rem is the remainder of tid/128
-    // and the same logic as for previous iterations applies
-    int rem = tid & 127;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 128;
-    double2 w = negTwids8[rem];
-    u = A[i1], v = A[i2] * w;
-    A[i1] = u + v;
-    A[i2] = u - v;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-  if constexpr (params::log2_degree > 8) {
-    // 9_th iteration
+  size_t iter = 1;
+  // for levels more than 1
+  // from here none of the twiddles have equal real and imag part, so
+  // complete complex multiplication has to be done
+  // here we have more than one twiddles
+  while (t > 1) {
+    iter++;
     tid = threadIdx.x;
+    t >>= 1;
+    m <<= 1;
 #pragma unroll
-    for (int i = 0; i < params::opt / 2; i++) {
-      // the butterfly pattern is applied to each pair
-      // of coefficients, with a stride of 256
-      // rem is the remainder of tid/256
-      // and the same logic as for previous iterations applies
-      int rem = tid & 255;
-      i1 = (tid << 1) - rem;
-      i2 = i1 + 256;
-      double2 w = negTwids9[rem];
-      u = A[i1], v = A[i2] * w;
-      A[i1] = u + v;
-      A[i2] = u - v;
+    for (size_t i = 0; i < params::opt / 2; ++i) {
+      twid_id = tid / t;
+      i1 = 2 * t * twid_id + (tid & (t - 1));
+      i2 = i1 + t;
+      w = negtwiddles[twid_id + m];
+      u = A[i1];
+      v.x = A[i2].x * w.x - A[i2].y * w.y;
+      v.y = A[i2].y * w.x + A[i2].x * w.y;
+      A[i1].x += v.x;
+      A[i1].y += v.y;
+      A[i2].x = u.x - v.x;
+      A[i2].y = u.y - v.y;
       tid += params::degree / params::opt;
     }
     __syncthreads();
   }
-  if constexpr (params::log2_degree > 9) {
-    // 10_th iteration
-    tid = threadIdx.x;
-    //#pragma unroll
-    for (int i = 0; i < params::opt / 2; i++) {
-      // the butterfly pattern is applied to each pair
-      // of coefficients, with a stride of 512
-      // rem is the remainder of tid/512
-      // and the same logic as for previous iterations applies
-      int rem = tid & 511;
-      i1 = (tid << 1) - rem;
-      i2 = i1 + 512;
-      double2 w = negTwids10[rem];
-      u = A[i1], v = A[i2] * w;
-      A[i1] = u + v;
-      A[i2] = u - v;
-      tid += params::degree / params::opt;
-    }
-    __syncthreads();
-  }
-
-  if constexpr (params::log2_degree > 10) {
-    // 11_th iteration
-    tid = threadIdx.x;
-    //#pragma unroll
-    for (int i = 0; i < params::opt / 2; i++) {
-      // the butterfly pattern is applied to each pair
-      // of coefficients, with a stride of 1024
-      // rem is the remainder of tid/1024
-      // and the same logic as for previous iterations applies
-      int rem = tid & 1023;
-      i1 = (tid << 1) - rem;
-      i2 = i1 + 1024;
-      double2 w = negTwids11[rem];
-      u = A[i1], v = A[i2] * w;
-      A[i1] = u + v;
-      A[i2] = u - v;
-      tid += params::degree / params::opt;
-    }
-    __syncthreads();
-  }
-
-  if constexpr (params::log2_degree > 11) {
-    // 12_th iteration
-    tid = threadIdx.x;
-    //#pragma unroll
-    for (int i = 0; i < params::opt / 2; i++) {
-      // the butterfly pattern is applied to each pair
-      // of coefficients, with a stride of 2048
-      // rem is the remainder of tid/2048
-      // and the same logic as for previous iterations applies
-      int rem = tid & 2047;
-      i1 = (tid << 1) - rem;
-      i2 = i1 + 2048;
-      double2 w = negTwids12[rem];
-      u = A[i1], v = A[i2] * w;
-      A[i1] = u + v;
-      A[i2] = u - v;
-      tid += params::degree / params::opt;
-    }
-    __syncthreads();
-  }
-  // Real polynomials handled should not exceed a degree of 8192
 }
 
 /*
  * negacyclic inverse fft
  */
 template <class params> __device__ void NSMFFT_inverse(double2 *A) {
-  /* First, reverse the bits of the input complex
-   *  The bit reversal for half-size FFT has been stored into the
-   *  SW1 and SW2 arrays beforehand
+
+  /* We don't make bit reverse here, since twiddles are already reversed
    *  Each thread is always in charge of "opt/2" pairs of coefficients,
    *  which is why we always loop through N/2 by N/opt strides
    *  The pragma unroll instruction tells the compiler to unroll the
    *  full loop, which should increase performance
    */
-  int tid;
-  int i1, i2;
-  double2 u, v;
-  if constexpr (params::log2_degree > 11) {
-    // 12_th iteration
+
+  size_t tid = threadIdx.x;
+  size_t twid_id;
+  size_t m = params::degree;
+  size_t t = 1;
+  size_t i1, i2;
+  double2 u, w;
+
+  tid = threadIdx.x;
+  for (size_t i = 0; i < params::opt; ++i) {
+    A[tid].x *= 1. / params::degree;
+    A[tid].y *= 1. / params::degree;
+    tid += params::degree / params::opt;
+  }
+  __syncthreads();
+
+  // none of the twiddles have equal real and imag part, so
+  // complete complex multiplication has to be done
+  // here we have more than one twiddles
+  while (m > 1) {
     tid = threadIdx.x;
-    //#pragma unroll
-    for (int i = 0; i < params::opt / 2; i++) {
-      // the butterfly pattern is applied to each pair
-      // of coefficients, with a stride of 2048
-      // rem is the remainder of tid/2048
-      // and the same logic as for previous iterations applies
-      int rem = tid & 2047;
-      i1 = (tid << 1) - rem;
-      i2 = i1 + 2048;
-      double2 w = conjugate(negTwids12[rem]);
-      u = A[i1], v = A[i2];
-      A[i1] = (u + v) * 0.5;
-      A[i2] = (u - v) * w * 0.5;
+    m >>= 1;
+#pragma unroll
+    for (size_t i = 0; i < params::opt / 2; ++i) {
+      twid_id = tid / t;
+      i1 = 2 * t * twid_id + (tid & (t - 1));
+      i2 = i1 + t;
+      w = negtwiddles[twid_id + m];
+      u.x = A[i1].x - A[i2].x;
+      u.y = A[i1].y - A[i2].y;
+      A[i1].x += A[i2].x;
+      A[i1].y += A[i2].y;
+
+      A[i2].x = u.x * w.x + u.y * w.y;
+      A[i2].y = u.y * w.x - u.x * w.y;
       tid += params::degree / params::opt;
     }
+    t <<= 1;
     __syncthreads();
   }
-
-  if constexpr (params::log2_degree > 10) {
-    // 11_th iteration
-    tid = threadIdx.x;
-    //#pragma unroll
-    for (int i = 0; i < params::opt / 2; i++) {
-      // the butterfly pattern is applied to each pair
-      // of coefficients, with a stride of 1024
-      // rem is the remainder of tid/1024
-      // and the same logic as for previous iterations applies
-      int rem = tid & 1023;
-      i1 = (tid << 1) - rem;
-      i2 = i1 + 1024;
-      double2 w = conjugate(negTwids11[rem]);
-      u = A[i1], v = A[i2];
-      A[i1] = (u + v) * 0.5;
-      A[i2] = (u - v) * w * 0.5;
-      tid += params::degree / params::opt;
-    }
-    __syncthreads();
-  }
-
-  if constexpr (params::log2_degree > 9) {
-    // 10_th iteration
-    tid = threadIdx.x;
-    //#pragma unroll
-    for (int i = 0; i < params::opt / 2; i++) {
-      // the butterfly pattern is applied to each pair
-      // of coefficients, with a stride of 512
-      // rem is the remainder of tid/512
-      // and the same logic as for previous iterations applies
-      int rem = tid & 511;
-      i1 = (tid << 1) - rem;
-      i2 = i1 + 512;
-      double2 w = conjugate(negTwids10[rem]);
-      u = A[i1], v = A[i2];
-      A[i1] = (u + v) * 0.5;
-      A[i2] = (u - v) * w * 0.5;
-      tid += params::degree / params::opt;
-    }
-    __syncthreads();
-  }
-
-  if constexpr (params::log2_degree > 8) {
-    // 9_th iteration
-    tid = threadIdx.x;
-#pragma unroll
-    for (int i = 0; i < params::opt / 2; i++) {
-      // the butterfly pattern is applied to each pair
-      // of coefficients, with a stride of 256
-      // rem is the remainder of tid/256
-      // and the same logic as for previous iterations applies
-      int rem = tid & 255;
-      i1 = (tid << 1) - rem;
-      i2 = i1 + 256;
-      double2 w = conjugate(negTwids9[rem]);
-      u = A[i1], v = A[i2];
-      A[i1] = (u + v) * 0.5;
-      A[i2] = (u - v) * w * 0.5;
-      tid += params::degree / params::opt;
-    }
-    __syncthreads();
-  }
-
-  // 8_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 128
-    // rem is the remainder of tid/128
-    // and the same logic as for previous iterations applies
-    int rem = tid & 127;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 128;
-    double2 w = conjugate(negTwids8[rem]);
-    u = A[i1], v = A[i2];
-    A[i1] = (u + v) * 0.5;
-    A[i2] = (u - v) * w * 0.5;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // 7_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 64
-    // rem is the remainder of tid/64
-    // and the same logic as for previous iterations applies
-    int rem = tid & 63;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 64;
-    double2 w = conjugate(negTwids7[rem]);
-    u = A[i1], v = A[i2];
-    A[i1] = (u + v) * 0.5;
-    A[i2] = (u - v) * w * 0.5;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // 6_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 32
-    // rem is the remainder of tid/32
-    // and the same logic as for previous iterations applies
-    int rem = tid & 31;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 32;
-    double2 w = conjugate(negTwids6[rem]);
-    u = A[i1], v = A[i2];
-    A[i1] = (u + v) * 0.5;
-    A[i2] = (u - v) * w * 0.5;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // 5_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 16
-    // rem is the remainder of tid/16
-    // and the same logic as for previous iterations applies
-    int rem = tid & 15;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 16;
-    double2 w = conjugate(negTwids5[rem]);
-    u = A[i1], v = A[i2];
-    A[i1] = (u + v) * 0.5;
-    A[i2] = (u - v) * w * 0.5;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // 4_th iteration
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 8
-    // rem is the remainder of tid/8. tid takes values:
-    // 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ... N/4
-    // then rem takes values:
-    // 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, ... N/4
-    // and striding by 8 will allow us to cover all
-    // the coefficients correctly
-    int rem = tid & 7;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 8;
-
-    double2 w = conjugate(negTwids4[rem]);
-    u = A[i1], v = A[i2];
-    A[i1] = (u + v) * 0.5;
-    A[i2] = (u - v) * w * 0.5;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // third iteration
-  // from k=3 on, we have to do the full complex multiplication
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 4
-    // rem is the remainder of tid/4. tid takes values:
-    // 0, 1, 2, 3, 4, 5, 6, 7, ... N/4
-    // then rem takes values:
-    // 0, 1, 2, 3, 0, 1, 2, 3, ... N/4
-    // and striding by 4 will allow us to cover all
-    // the coefficients correctly
-    int rem = tid & 3;
-    i1 = (tid << 1) - rem;
-    i2 = i1 + 4;
-
-    double2 w = conjugate(negTwids3[rem]);
-    u = A[i1], v = A[i2];
-    A[i1] = (u + v) * 0.5;
-    A[i2] = (u - v) * w * 0.5;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // second iteration: apply the butterfly pattern
-  // between groups of 4 coefficients
-  // k=2, \zeta=exp(i pi/4) for even coefficients and
-  // exp(3 i pi / 4) for odd coefficients
-  tid = threadIdx.x;
-  // odd = 0 for even coefficients, 1 for odd coefficients
-  int odd = tid & 1;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 2
-    // i1=2*tid if tid is even and 2*tid-1 if it is odd
-    i1 = (tid << 1) - odd;
-    i2 = i1 + 2;
-
-    double2 w;
-    if (odd) {
-      w.x = -0.707106781186547461715008466854;
-      w.y = -0.707106781186547572737310929369;
-    } else {
-      w.x = 0.707106781186547461715008466854;
-      w.y = -0.707106781186547572737310929369;
-    }
-
-    u = A[i1], v = A[i2];
-    A[i1] = (u + v) * 0.5;
-    A[i2] = (u - v) * w * 0.5;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  // Now we go through all the levels of the FFT one by one
-  // (instead of recursively)
-  // first iteration: k=1, zeta=i for all coefficients
-  tid = threadIdx.x;
-#pragma unroll
-  for (int i = 0; i < params::opt / 2; i++) {
-    // the butterfly pattern is applied to each pair
-    // of coefficients, with a stride of 2
-    i1 = tid << 1;
-    i2 = i1 + 1;
-    double2 w = {0, -1};
-    u = A[i1], v = A[i2];
-    A[i1] = (u + v) * 0.5;
-    A[i2] = (u - v) * w * 0.5;
-    tid += params::degree / params::opt;
-  }
-  __syncthreads();
-
-  bit_reverse_inplace<params>(A);
-  __syncthreads();
-  // Real polynomials handled should not exceed a degree of 8192
-}
-
-/*
- *  correction after direct fft
- *  does not use extra shared memory for recovering
- *  correction is done using registers.
- *  based on Pascal's paper
- */
-template <class params>
-__device__ void correction_direct_fft_inplace(double2 *x) {
-  constexpr int threads = params::degree / params::opt;
-  int tid = threadIdx.x;
-  double2 left[params::opt / 4];
-  double2 right[params::opt / 4];
-#pragma unroll
-  for (int i = 0; i < params::opt / 4; i++) {
-    left[i] = x[tid + i * threads];
-  }
-#pragma unroll
-  for (int i = 0; i < params::opt / 4; i++) {
-    right[i] = x[params::degree / 2 - (tid + i * threads + 1)];
-  }
-#pragma unroll
-  for (int i = 0; i < params::opt / 4; i++) {
-    double2 tw = negacyclic_twiddle<params::degree>(tid + i * threads);
-    double add_RE = left[i].x + right[i].x;
-    double sub_RE = left[i].x - right[i].x;
-    double add_IM = left[i].y + right[i].y;
-    double sub_IM = left[i].y - right[i].y;
-
-    double tmp1 = add_IM * tw.x + sub_RE * tw.y;
-    double tmp2 = -sub_RE * tw.x + add_IM * tw.y;
-    x[tid + i * threads].x = (add_RE + tmp1) * 0.5;
-    x[tid + i * threads].y = (sub_IM + tmp2) * 0.5;
-    x[params::degree / 2 - (tid + i * threads + 1)].x = (add_RE - tmp1) * 0.5;
-    x[params::degree / 2 - (tid + i * threads + 1)].y = (-sub_IM + tmp2) * 0.5;
-  }
-}
-
-/*
- *  correction before inverse fft
- *  does not use extra shared memory for recovering
- *  correction is done using registers.
- *  based on Pascal's paper
- */
-template <class params>
-__device__ void correction_inverse_fft_inplace(double2 *x) {
-  constexpr int threads = params::degree / params::opt;
-  int tid = threadIdx.x;
-  double2 left[params::opt / 4];
-  double2 right[params::opt / 4];
-#pragma unroll
-  for (int i = 0; i < params::opt / 4; i++) {
-    left[i] = x[tid + i * threads];
-  }
-#pragma unroll
-  for (int i = 0; i < params::opt / 4; i++) {
-    right[i] = x[params::degree / 2 - (tid + i * threads + 1)];
-  }
-#pragma unroll
-  for (int i = 0; i < params::opt / 4; i++) {
-    double2 tw = negacyclic_twiddle<params::degree>(tid + i * threads);
-    double add_RE = left[i].x + right[i].x;
-    double sub_RE = left[i].x - right[i].x;
-    double add_IM = left[i].y + right[i].y;
-    double sub_IM = left[i].y - right[i].y;
-
-    double tmp1 = add_IM * tw.x - sub_RE * tw.y;
-    double tmp2 = sub_RE * tw.x + add_IM * tw.y;
-    x[tid + i * threads].x = (add_RE - tmp1) * 0.5;
-    x[tid + i * threads].y = (sub_IM + tmp2) * 0.5;
-    x[params::degree / 2 - (tid + i * threads + 1)].x = (add_RE + tmp1) * 0.5;
-    x[params::degree / 2 - (tid + i * threads + 1)].y = (-sub_IM + tmp2) * 0.5;
-  }
 }
 
 /*
@@ -735,8 +165,6 @@ __global__ void batch_NSMFFT(double2 *d_input, double2 *d_output,
   __syncthreads();
   NSMFFT_direct<HalfDegree<params>>(fft);
   __syncthreads();
-  correction_direct_fft_inplace<params>(fft);
-  __syncthreads();
 
   tid = threadIdx.x;
 #pragma unroll
diff --git a/src/fft/twiddles.cu b/src/fft/twiddles.cu
index 074ce9e1f..25170dd4f 100644
--- a/src/fft/twiddles.cu
+++ b/src/fft/twiddles.cu
@@ -1,8204 +1,4099 @@
 #include "cuComplex.h"
 
-__constant__ short SW1[4096];
-__constant__ short SW2[4096];
-
-__constant__ double2 negTwids3[4] = {
-    {0.923879532511286738483136105060, 0.382683432365089781779232680492},
-    {0.382683432365089837290383911750, 0.923879532511286738483136105060},
-    {-0.382683432365089726268081449234, 0.923879532511286738483136105060},
-    {-0.923879532511286738483136105060, 0.382683432365089892801535143008}};
-__constant__ double2 negTwids4[8] = {
-    {0.980785280403230430579242238309, 0.195090322016128248083788321310},
-    {0.831469612302545235671402679145, 0.555570233019602177648721408332},
-    {0.555570233019602288671023870847, 0.831469612302545235671402679145},
-    {0.195090322016128331350515168197, 0.980785280403230430579242238309},
-    {-0.195090322016128192572637090052, 0.980785280403230430579242238309},
-    {-0.555570233019601955604116483300, 0.831469612302545457716007604176},
-    {-0.831469612302545346693705141661, 0.555570233019602177648721408332},
-    {-0.980785280403230430579242238309, 0.195090322016128608906271324486}};
-__constant__ double2 negTwids5[16] = {
-    {0.995184726672196928731750631414, 0.098017140329560603628777926133},
-    {0.956940335732208824381928025105, 0.290284677254462331053019852334},
-    {0.881921264348355049556005269551, 0.471396736825997642039709489836},
-    {0.773010453362736993376813643408, 0.634393284163645487794269683945},
+__constant__ double2 negtwiddles[4096] = {
+    {0, 0},
+    {0.707106781186547461715008466854, 0.707106781186547572737310929369},
+    {0.92387953251128673848313610506, 0.382683432365089781779232680492},
+    {-0.382683432365089781779232680492, 0.92387953251128673848313610506},
+    {0.980785280403230430579242238309, 0.19509032201612824808378832131},
+    {-0.19509032201612824808378832131, 0.980785280403230430579242238309},
+    {0.555570233019602177648721408332, 0.831469612302545235671402679145},
+    {-0.831469612302545235671402679145, 0.555570233019602177648721408332},
+    {0.995184726672196928731750631414, 0.0980171403295606036287779261329},
+    {-0.0980171403295606036287779261329, 0.995184726672196928731750631414},
     {0.634393284163645487794269683945, 0.773010453362736993376813643408},
-    {0.471396736825997808573163183610, 0.881921264348354938533702807035},
-    {0.290284677254462331053019852334, 0.956940335732208935404230487620},
-    {0.098017140329560770162231619906, 0.995184726672196817709448168898},
-    {-0.098017140329560645262141349576, 0.995184726672196928731750631414},
-    {-0.290284677254462164519566158560, 0.956940335732208935404230487620},
-    {-0.471396736825997697550860721094, 0.881921264348355049556005269551},
-    {-0.634393284163645376771967221430, 0.773010453362737104399116105924},
     {-0.773010453362736993376813643408, 0.634393284163645487794269683945},
-    {-0.881921264348354938533702807035, 0.471396736825997864084314414868},
-    {-0.956940335732208824381928025105, 0.290284677254462386564171083592},
-    {-0.995184726672196817709448168898, 0.098017140329560825673382851164}};
-__constant__ double2 negTwids6[32] = {
-    {0.998795456205172405006464941835, 0.049067674327418014934565348995},
-    {0.989176509964781014438983675063, 0.146730474455361747931902982600},
-    {0.970031253194543974238683858857, 0.242980179903263870944130076168},
-    {0.941544065183020806308888950298, 0.336889853392220051109262612954},
+    {0.881921264348355049556005269551, 0.471396736825997642039709489836},
+    {-0.471396736825997642039709489836, 0.881921264348355049556005269551},
+    {0.290284677254462331053019852334, 0.956940335732208824381928025105},
+    {-0.956940335732208824381928025105, 0.290284677254462331053019852334},
+    {0.998795456205172405006464941835, 0.0490676743274180149345653489945},
+    {-0.0490676743274180149345653489945, 0.998795456205172405006464941835},
+    {0.671558954847018441114414599724, 0.740951125354959105884233849793},
+    {-0.740951125354959105884233849793, 0.671558954847018441114414599724},
     {0.903989293123443338195954765979, 0.427555093430282084909777040593},
-    {0.857728610000272118085717920621, 0.514102744193221661284098900069},
-    {0.803207531480644942867286317778, 0.595699304492433356905678465409},
-    {0.740951125354959105884233849793, 0.671558954847018330092112137208},
-    {0.671558954847018330092112137208, 0.740951125354959105884233849793},
-    {0.595699304492433467927980927925, 0.803207531480644831844983855262},
-    {0.514102744193221661284098900069, 0.857728610000272118085717920621},
-    {0.427555093430282195932079503109, 0.903989293123443338195954765979},
+    {-0.427555093430282084909777040593, 0.903989293123443338195954765979},
     {0.336889853392220051109262612954, 0.941544065183020806308888950298},
-    {0.242980179903263981966432538684, 0.970031253194543974238683858857},
-    {0.146730474455361747931902982600, 0.989176509964781014438983675063},
-    {0.049067674327418125956867811510, 0.998795456205172405006464941835},
-    {-0.049067674327418007995671445087, 0.998795456205172405006464941835},
-    {-0.146730474455361636909600520084, 0.989176509964781014438983675063},
+    {-0.941544065183020806308888950298, 0.336889853392220051109262612954},
+    {0.970031253194543974238683858857, 0.242980179903263870944130076168},
     {-0.242980179903263870944130076168, 0.970031253194543974238683858857},
-    {-0.336889853392219940086960150438, 0.941544065183020806308888950298},
-    {-0.427555093430281862865172115562, 0.903989293123443449218257228495},
-    {-0.514102744193221661284098900069, 0.857728610000272118085717920621},
+    {0.514102744193221772306401362584, 0.857728610000272118085717920621},
+    {-0.857728610000272118085717920621, 0.514102744193221772306401362584},
+    {0.803207531480644942867286317778, 0.595699304492433356905678465409},
     {-0.595699304492433356905678465409, 0.803207531480644942867286317778},
-    {-0.671558954847018441114414599724, 0.740951125354958994861931387277},
-    {-0.740951125354958883839628924761, 0.671558954847018552136717062240},
-    {-0.803207531480644831844983855262, 0.595699304492433467927980927925},
-    {-0.857728610000272007063415458106, 0.514102744193221772306401362584},
-    {-0.903989293123443338195954765979, 0.427555093430282029398625809335},
-    {-0.941544065183020695286586487782, 0.336889853392220328665018769243},
-    {-0.970031253194543974238683858857, 0.242980179903264065233159385571},
-    {-0.989176509964781014438983675063, 0.146730474455361803443054213858},
-    {-0.998795456205172405006464941835, 0.049067674327417966362308021644}};
-__constant__ double2 negTwids7[64] = {
-    {0.999698818696204249967252053466, 0.024541228522912288123603019585},
-    {0.997290456678690206970827603072, 0.073564563599667426307959772203},
-    {0.992479534598709967063712156232, 0.122410675199216195663254325154},
-    {0.985277642388941221618381405278, 0.170961888760301217171644339032},
-    {0.975702130038528570032951847679, 0.219101240156869797592875670489},
-    {0.963776065795439840222513794288, 0.266712757474898365384063936290},
-    {0.949528180593036674750351266994, 0.313681740398891517607182777283},
-    {0.932992798834738956692547162675, 0.359895036534988110865640464908},
+    {0.1467304744553617479319029826, 0.989176509964781014438983675063},
+    {-0.989176509964781014438983675063, 0.1467304744553617479319029826},
+    {0.999698818696204249967252053466, 0.0245412285229122881236030195851},
+    {-0.0245412285229122881236030195851, 0.999698818696204249967252053466},
+    {0.689540544737066940506053924764, 0.724247082951467002764900371403},
+    {-0.724247082951467002764900371403, 0.689540544737066940506053924764},
     {0.914209755703530690951197357208, 0.405241314004989860997341111215},
-    {0.893224301195515324458540362684, 0.449611329654606539651950924963},
-    {0.870086991108711460540803273034, 0.492898192229784037898809856415},
-    {0.844853565249707116890931501985, 0.534997619887097153323907150479},
-    {0.817584813151583711388070696557, 0.575808191417845338655467912758},
-    {0.788346427626606338634474013816, 0.615231590580626819253495796147},
-    {0.757208846506484567484562830941, 0.653172842953776755514638807654},
-    {0.724247082951467002764900371403, 0.689540544737066829483751462249},
-    {0.689540544737066940506053924764, 0.724247082951466891742597908888},
-    {0.653172842953776755514638807654, 0.757208846506484456462260368426},
-    {0.615231590580626819253495796147, 0.788346427626606227612171551300},
-    {0.575808191417845338655467912758, 0.817584813151583711388070696557},
-    {0.534997619887097264346209612995, 0.844853565249707005868629039469},
-    {0.492898192229784093409961087673, 0.870086991108711349518500810518},
-    {0.449611329654606595163102156221, 0.893224301195515324458540362684},
-    {0.405241314004989860997341111215, 0.914209755703530690951197357208},
-    {0.359895036534988277399094158682, 0.932992798834738845670244700159},
-    {0.313681740398891573118334008541, 0.949528180593036674750351266994},
-    {0.266712757474898420895215167548, 0.963776065795439840222513794288},
-    {0.219101240156869769837300054860, 0.975702130038528570032951847679},
-    {0.170961888760301355949522417177, 0.985277642388941221618381405278},
-    {0.122410675199216278929981172041, 0.992479534598709967063712156232},
-    {0.073564563599667454063535387832, 0.997290456678690206970827603072},
-    {0.024541228522912263837474355910, 0.999698818696204249967252053466},
-    {-0.024541228522912142406831037533, 0.999698818696204249967252053466},
-    {-0.073564563599667329163445117501, 0.997290456678690206970827603072},
-    {-0.122410675199216154029890901711, 0.992479534598709967063712156232},
-    {-0.170961888760301244927219954661, 0.985277642388941221618381405278},
-    {-0.219101240156869658814997592344, 0.975702130038528570032951847679},
-    {-0.266712757474898309872912705032, 0.963776065795439840222513794288},
-    {-0.313681740398891406584880314767, 0.949528180593036674750351266994},
-    {-0.359895036534988166376791696166, 0.932992798834738845670244700159},
-    {-0.405241314004989749975038648699, 0.914209755703530690951197357208},
-    {-0.449611329654606706185404618736, 0.893224301195515213436237900169},
-    {-0.492898192229783982387658625157, 0.870086991108711460540803273034},
-    {-0.534997619887097042301604687964, 0.844853565249707227913233964500},
-    {-0.575808191417845338655467912758, 0.817584813151583711388070696557},
-    {-0.615231590580626708231193333631, 0.788346427626606338634474013816},
-    {-0.653172842953776533470033882622, 0.757208846506484678506865293457},
-    {-0.689540544737066940506053924764, 0.724247082951466891742597908888},
-    {-0.724247082951466780720295446372, 0.689540544737067051528356387280},
-    {-0.757208846506484567484562830941, 0.653172842953776644492336345138},
-    {-0.788346427626606227612171551300, 0.615231590580626930275798258663},
-    {-0.817584813151583600365768234042, 0.575808191417845449677770375274},
+    {-0.405241314004989860997341111215, 0.914209755703530690951197357208},
+    {0.359895036534988110865640464908, 0.932992798834738845670244700159},
+    {-0.932992798834738845670244700159, 0.359895036534988110865640464908},
+    {0.975702130038528570032951847679, 0.219101240156869797592875670489},
+    {-0.219101240156869797592875670489, 0.975702130038528570032951847679},
+    {0.534997619887097153323907150479, 0.844853565249707116890931501985},
     {-0.844853565249707116890931501985, 0.534997619887097153323907150479},
-    {-0.870086991108711349518500810518, 0.492898192229784148921112318931},
-    {-0.893224301195515213436237900169, 0.449611329654606872718858312510},
-    {-0.914209755703530690951197357208, 0.405241314004989916508492342473},
-    {-0.932992798834738845670244700159, 0.359895036534988332910245389940},
-    {-0.949528180593036674750351266994, 0.313681740398891406584880314767},
-    {-0.963776065795439840222513794288, 0.266712757474898476406366398805},
-    {-0.975702130038528459010649385164, 0.219101240156870047393056211149},
+    {0.817584813151583711388070696557, 0.575808191417845338655467912758},
+    {-0.575808191417845338655467912758, 0.817584813151583711388070696557},
+    {0.170961888760301217171644339032, 0.985277642388941221618381405278},
     {-0.985277642388941221618381405278, 0.170961888760301217171644339032},
-    {-0.992479534598709967063712156232, 0.122410675199216348318920211113},
-    {-0.997290456678690206970827603072, 0.073564563599667731619291544121},
-    {-0.999698818696204249967252053466, 0.024541228522912326287519491075}};
-__constant__ double2 negTwids8[128] = {
-    {0.999924701839144502990563978528, 0.012271538285719925387429185548},
-    {0.999322384588349543754759451986, 0.036807222941358831713731802893},
-    {0.998118112900149179189668302570, 0.061320736302208578294425933564},
-    {0.996312612182778001290728298045, 0.085797312344439893849745715215},
-    {0.993906970002356060511772284372, 0.110222207293883059375794175594},
-    {0.990902635427780009713671915961, 0.134580708507126167727818710773},
-    {0.987301418157858434732077057561, 0.158858143333861445700705417039},
-    {0.983105487431216285010293631785, 0.183039887955140950781540709613},
-    {0.978317370719627654729322330240, 0.207111376192218560321478548758},
-    {0.972939952205560176778931236186, 0.231058108280671109513448868711},
-    {0.966976471044852070590991388599, 0.254865659604514571690003776894},
-    {0.960430519415565786545130322338, 0.278519689385053059726971014243},
-    {0.953306040354193862107479162660, 0.302005949319228084171129466995},
-    {0.945607325380521279711842908000, 0.325310292162262926218829761638},
-    {0.937339011912574959772825877735, 0.348418680249434564721866536274},
-    {0.928506080473215589243807244202, 0.371317193951837543064442570540},
+    {0.992479534598709967063712156232, 0.122410675199216195663254325154},
+    {-0.122410675199216195663254325154, 0.992479534598709967063712156232},
+    {0.615231590580626819253495796147, 0.788346427626606338634474013816},
+    {-0.788346427626606338634474013816, 0.615231590580626819253495796147},
+    {0.870086991108711460540803273034, 0.492898192229784037898809856415},
+    {-0.492898192229784037898809856415, 0.870086991108711460540803273034},
+    {0.26671275747489836538406393629, 0.963776065795439840222513794288},
+    {-0.963776065795439840222513794288, 0.26671275747489836538406393629},
+    {0.949528180593036674750351266994, 0.313681740398891462096031546025},
+    {-0.313681740398891462096031546025, 0.949528180593036674750351266994},
+    {0.449611329654606595163102156221, 0.893224301195515324458540362684},
+    {-0.893224301195515324458540362684, 0.449611329654606595163102156221},
+    {0.757208846506484567484562830941, 0.653172842953776755514638807654},
+    {-0.653172842953776755514638807654, 0.757208846506484567484562830941},
+    {0.0735645635996674263079597722026, 0.997290456678690206970827603072},
+    {-0.997290456678690206970827603072, 0.0735645635996674263079597722026},
+    {0.999924701839144502990563978528, 0.0122715382857199253874291855482},
+    {-0.0122715382857199253874291855482, 0.999924701839144502990563978528},
+    {0.69837624940897291558883352991, 0.715730825283818705706551099865},
+    {-0.715730825283818705706551099865, 0.69837624940897291558883352991},
     {0.919113851690057770404962411703, 0.393992040061048098831264496766},
-    {0.909167983090522380251741196844, 0.416429560097637152527028092663},
-    {0.898674465693953816725070282700, 0.438616238538527658530341568621},
-    {0.887639620402853934955089698633, 0.460538710958240005144403994564},
-    {0.876070094195406601222941844753, 0.482183772079122718867694175060},
-    {0.863972856121586807454093559500, 0.503538383725717575423175276228},
-    {0.851355193105265195541164757742, 0.524589682678468949283967504016},
-    {0.838224705554838078747081908659, 0.545324988422046463831804885558},
-    {0.824589302785025290987164225953, 0.565731810783613120463542145444},
-    {0.810457198252594768206336084404, 0.585797857456438864076631034550},
-    {0.795836904608883566325516767392, 0.605511041404325545123299434636},
-    {0.780737228572094488221466690447, 0.624859488142386343412226779037},
-    {0.765167265622458958596041611600, 0.643831542889791386130582395708},
-    {0.749136394523459370198281703779, 0.662415777590171783728578702721},
-    {0.732654271672412815696873167326, 0.680600997795453022121137109934},
-    {0.715730825283818594684248637350, 0.698376249408972915588833529910},
-    {0.698376249408972915588833529910, 0.715730825283818594684248637350},
-    {0.680600997795453133143439572450, 0.732654271672412815696873167326},
-    {0.662415777590171783728578702721, 0.749136394523459259175979241263},
-    {0.643831542889791497152884858224, 0.765167265622458958596041611600},
-    {0.624859488142386454434529241553, 0.780737228572094377199164227932},
-    {0.605511041404325545123299434636, 0.795836904608883455303214304877},
-    {0.585797857456438864076631034550, 0.810457198252594768206336084404},
-    {0.565731810783613231485844607960, 0.824589302785025290987164225953},
-    {0.545324988422046463831804885558, 0.838224705554837967724779446144},
-    {0.524589682678468838261665041500, 0.851355193105265195541164757742},
-    {0.503538383725717575423175276228, 0.863972856121586696431791096984},
-    {0.482183772079122829889996637576, 0.876070094195406601222941844753},
-    {0.460538710958240005144403994564, 0.887639620402853934955089698633},
-    {0.438616238538527714041492799879, 0.898674465693953816725070282700},
-    {0.416429560097637319060481786437, 0.909167983090522269229438734328},
-    {0.393992040061048098831264496766, 0.919113851690057770404962411703},
-    {0.371317193951837598575593801797, 0.928506080473215478221504781686},
-    {0.348418680249434509210715305016, 0.937339011912574959772825877735},
-    {0.325310292162262981729980992895, 0.945607325380521279711842908000},
-    {0.302005949319228195193431929511, 0.953306040354193751085176700144},
-    {0.278519689385053059726971014243, 0.960430519415565786545130322338},
-    {0.254865659604514627201155008152, 0.966976471044852070590991388599},
-    {0.231058108280671276046902562484, 0.972939952205560065756628773670},
-    {0.207111376192218560321478548758, 0.978317370719627654729322330240},
-    {0.183039887955141061803843172129, 0.983105487431216285010293631785},
-    {0.158858143333861390189554185781, 0.987301418157858434732077057561},
-    {0.134580708507126223238969942031, 0.990902635427780009713671915961},
-    {0.110222207293883184275884445924, 0.993906970002356060511772284372},
-    {0.085797312344439879971957907401, 0.996312612182778001290728298045},
-    {0.061320736302208647683364972636, 0.998118112900149179189668302570},
-    {0.036807222941358991308291592759, 0.999322384588349543754759451986},
-    {0.012271538285719944469387421293, 0.999924701839144502990563978528},
-    {-0.012271538285719823038744102917, 0.999924701839144502990563978528},
-    {-0.036807222941358866408201322429, 0.999322384588349543754759451986},
-    {-0.061320736302208529722168606213, 0.998118112900149179189668302570},
-    {-0.085797312344439755071867637071, 0.996312612182778001290728298045},
+    {-0.393992040061048098831264496766, 0.919113851690057770404962411703},
+    {0.37131719395183754306444257054, 0.928506080473215589243807244202},
+    {-0.928506080473215589243807244202, 0.37131719395183754306444257054},
+    {0.97831737071962765472932233024, 0.207111376192218532565902933129},
+    {-0.207111376192218532565902933129, 0.97831737071962765472932233024},
+    {0.545324988422046463831804885558, 0.838224705554838078747081908659},
+    {-0.838224705554838078747081908659, 0.545324988422046463831804885558},
+    {0.824589302785025290987164225953, 0.56573181078361323148584460796},
+    {-0.56573181078361323148584460796, 0.824589302785025290987164225953},
+    {0.183039887955140950781540709613, 0.983105487431216285010293631785},
+    {-0.983105487431216285010293631785, 0.183039887955140950781540709613},
+    {0.993906970002356060511772284372, 0.110222207293883059375794175594},
     {-0.110222207293883059375794175594, 0.993906970002356060511772284372},
-    {-0.134580708507126112216667479515, 0.990902635427780009713671915961},
-    {-0.158858143333861279167251723266, 0.987301418157858434732077057561},
-    {-0.183039887955140923025965093984, 0.983105487431216285010293631785},
-    {-0.207111376192218449299176086242, 0.978317370719627654729322330240},
-    {-0.231058108280671137269024484340, 0.972939952205560176778931236186},
-    {-0.254865659604514516178852545636, 0.966976471044852070590991388599},
-    {-0.278519689385052948704668551727, 0.960430519415565897567432784854},
-    {-0.302005949319228084171129466995, 0.953306040354193862107479162660},
-    {-0.325310292162262870707678530380, 0.945607325380521390734145370516},
-    {-0.348418680249434398188412842501, 0.937339011912574959772825877735},
-    {-0.371317193951837487553291339282, 0.928506080473215589243807244202},
-    {-0.393992040061047987808962034251, 0.919113851690057770404962411703},
-    {-0.416429560097636985993574398890, 0.909167983090522491274043659359},
-    {-0.438616238538527380974585412332, 0.898674465693953927747372745216},
-    {-0.460538710958240060655555225821, 0.887639620402853934955089698633},
-    {-0.482183772079122718867694175060, 0.876070094195406601222941844753},
-    {-0.503538383725717464400872813712, 0.863972856121586807454093559500},
-    {-0.524589682678468727239362578985, 0.851355193105265195541164757742},
-    {-0.545324988422046241787199960527, 0.838224705554838189769384371175},
-    {-0.565731810783613231485844607960, 0.824589302785025179964861763438},
-    {-0.585797857456438864076631034550, 0.810457198252594768206336084404},
-    {-0.605511041404325434100996972120, 0.795836904608883566325516767392},
-    {-0.624859488142386232389924316522, 0.780737228572094599243769152963},
-    {-0.643831542889791275108279933193, 0.765167265622459069618344074115},
-    {-0.662415777590171894750881165237, 0.749136394523459259175979241263},
-    {-0.680600997795453022121137109934, 0.732654271672412815696873167326},
-    {-0.698376249408972804566531067394, 0.715730825283818705706551099865},
-    {-0.715730825283818594684248637350, 0.698376249408972915588833529910},
-    {-0.732654271672412704674570704810, 0.680600997795453244165742034966},
-    {-0.749136394523459148153676778747, 0.662415777590172005773183627753},
-    {-0.765167265622458958596041611600, 0.643831542889791386130582395708},
+    {0.624859488142386343412226779037, 0.780737228572094488221466690447},
     {-0.780737228572094488221466690447, 0.624859488142386343412226779037},
-    {-0.795836904608883455303214304877, 0.605511041404325656145601897151},
-    {-0.810457198252594657184033621888, 0.585797857456438975098933497065},
-    {-0.824589302785025068942559300922, 0.565731810783613453530449532991},
-    {-0.838224705554838078747081908659, 0.545324988422046352809502423042},
-    {-0.851355193105265195541164757742, 0.524589682678468949283967504016},
-    {-0.863972856121586696431791096984, 0.503538383725717686445477738744},
-    {-0.876070094195406490200639382238, 0.482183772079122885401147868834},
-    {-0.887639620402853823932787236117, 0.460538710958240227189008919595},
-    {-0.898674465693953927747372745216, 0.438616238538527547508039106106},
+    {0.876070094195406601222941844753, 0.48218377207912271886769417506},
+    {-0.48218377207912271886769417506, 0.876070094195406601222941844753},
+    {0.278519689385053115238122245501, 0.960430519415565786545130322338},
+    {-0.960430519415565786545130322338, 0.278519689385053115238122245501},
+    {0.95330604035419386210747916266, 0.302005949319228084171129466995},
+    {-0.302005949319228084171129466995, 0.95330604035419386210747916266},
+    {0.460538710958240005144403994564, 0.887639620402853934955089698633},
+    {-0.887639620402853934955089698633, 0.460538710958240005144403994564},
+    {0.7651672656224589585960416116, 0.643831542889791497152884858224},
+    {-0.643831542889791497152884858224, 0.7651672656224589585960416116},
+    {0.0857973123444398938497457152152, 0.996312612182778001290728298045},
+    {-0.996312612182778001290728298045, 0.0857973123444398938497457152152},
+    {0.99811811290014917918966830257, 0.0613207363022085782944259335636},
+    {-0.0613207363022085782944259335636, 0.99811811290014917918966830257},
+    {0.662415777590171783728578702721, 0.749136394523459370198281703779},
+    {-0.749136394523459370198281703779, 0.662415777590171783728578702721},
+    {0.8986744656939538167250702827, 0.438616238538527603019190337363},
+    {-0.438616238538527603019190337363, 0.8986744656939538167250702827},
+    {0.325310292162262926218829761638, 0.945607325380521279711842908},
+    {-0.945607325380521279711842908, 0.325310292162262926218829761638},
+    {0.966976471044852070590991388599, 0.254865659604514571690003776894},
+    {-0.254865659604514571690003776894, 0.966976471044852070590991388599},
+    {0.503538383725717575423175276228, 0.863972856121586696431791096984},
+    {-0.863972856121586696431791096984, 0.503538383725717575423175276228},
+    {0.795836904608883566325516767392, 0.605511041404325545123299434636},
+    {-0.605511041404325545123299434636, 0.795836904608883566325516767392},
+    {0.134580708507126195483394326402, 0.990902635427780009713671915961},
+    {-0.990902635427780009713671915961, 0.134580708507126195483394326402},
+    {0.987301418157858434732077057561, 0.158858143333861445700705417039},
+    {-0.158858143333861445700705417039, 0.987301418157858434732077057561},
+    {0.58579785745643886407663103455, 0.810457198252594768206336084404},
+    {-0.810457198252594768206336084404, 0.58579785745643886407663103455},
+    {0.851355193105265195541164757742, 0.524589682678468949283967504016},
+    {-0.524589682678468949283967504016, 0.851355193105265195541164757742},
+    {0.231058108280671109513448868711, 0.972939952205560176778931236186},
+    {-0.972939952205560176778931236186, 0.231058108280671109513448868711},
+    {0.937339011912574959772825877735, 0.348418680249434564721866536274},
+    {-0.348418680249434564721866536274, 0.937339011912574959772825877735},
+    {0.416429560097637152527028092663, 0.909167983090522380251741196844},
     {-0.909167983090522380251741196844, 0.416429560097637152527028092663},
-    {-0.919113851690057770404962411703, 0.393992040061048154342415728024},
-    {-0.928506080473215478221504781686, 0.371317193951837709597896264313},
-    {-0.937339011912574848750523415220, 0.348418680249434786766471461306},
-    {-0.945607325380521168689540445484, 0.325310292162263259285737149185},
-    {-0.953306040354193862107479162660, 0.302005949319228028659978235737},
-    {-0.960430519415565786545130322338, 0.278519689385053170749273476758},
-    {-0.966976471044852070590991388599, 0.254865659604514682712306239409},
-    {-0.972939952205560065756628773670, 0.231058108280671331558053793742},
-    {-0.978317370719627543707019867725, 0.207111376192218837877234705047},
-    {-0.983105487431216285010293631785, 0.183039887955140895270389478355},
-    {-0.987301418157858434732077057561, 0.158858143333861473456281032668},
-    {-0.990902635427780009713671915961, 0.134580708507126278750121173289},
-    {-0.993906970002356060511772284372, 0.110222207293883239787035677182},
-    {-0.996312612182778001290728298045, 0.085797312344440157527714063690},
-    {-0.998118112900149179189668302570, 0.061320736302208488088805182770},
-    {-0.999322384588349543754759451986, 0.036807222941358831713731802893},
-    {-0.999924701839144502990563978528, 0.012271538285720006919432556458}};
-__constant__ double2 negTwids9[256] = {
-    {0.999981175282601109088886914833, 0.006135884649154475269094977108},
-    {0.999830581795823403190581757372, 0.018406729905804820185410974887},
-    {0.999529417501093142561785498401, 0.030674803176636625950957082409},
-    {0.999077727752645361469774343277, 0.042938256934940820241930481416},
-    {0.998475580573294774211490221205, 0.055195244349689934204583607880},
-    {0.997723066644191636243022003327, 0.067443919563664050942364269758},
-    {0.996820299291165667909808689728, 0.079682437971430125633887087133},
-    {0.995767414467659817134403965611, 0.091908956497132723861831493650},
-    {0.994564570734255415374036601861, 0.104121633872054586422706279336},
-    {0.993211949234794500007694750821, 0.116318630911904752345265023905},
-    {0.991709753669099525197339062288, 0.128498110793793168804555193674},
-    {0.990058210262297122561392370699, 0.140658239332849210878606527331},
-    {0.988257567730749464374184753979, 0.152797185258443435351694006386},
-    {0.986308097244598669384174627339, 0.164913120489969922122241996476},
-    {0.984210092386929025209951760189, 0.177004220412148749463909780388},
-    {0.981963869109555242964404442318, 0.189068664149806192620317801811},
-    {0.979569765685440518865334524889, 0.201104634842091900548410876581},
-    {0.977028142657754394839741962642, 0.213110319916091361935883696788},
-    {0.974339382785575858214599520579, 0.225083911359792832040938037608},
-    {0.971503890986251783523641734064, 0.237023605994367198013250686017},
-    {0.968522094274417377768315873254, 0.248927605745720148533450810646},
-    {0.965394441697689398296233775909, 0.260794117915275514008044410730},
-    {0.962121404269041580192833862384, 0.272621355449948976623630869653},
-    {0.958703474895871599059660184139, 0.284407537211271876920193335536},
-    {0.955141168305770782431807219837, 0.296150888243623788831371257402},
-    {0.951435020969008338198591445689, 0.307849640041534866607975118313},
-    {0.947585591017741091235393469105, 0.319502030816015691883080762636},
-    {0.943593458161960385588429289783, 0.331106305759876429206656212045},
-    {0.939459223602189918977956040180, 0.342660717311994378331263533255},
-    {0.935183509938947610251602782228, 0.354163525420490343798007870646},
-    {0.930766961078983712241097236983, 0.365612997804773853793847138149},
-    {0.926210242138311379278547974536, 0.377007410216418259452098027396},
-    {0.921514039342042012847855403379, 0.388345046698826246167612907811},
-    {0.916679059921042704850435711705, 0.399624199845646788098463275674},
-    {0.911706032005429878317670500110, 0.410843171057903910892150634027},
-    {0.906595704514915334826241632982, 0.422000270799799681586961241919},
-    {0.901348847046022028095535461034, 0.433093818853151957259939308642},
-    {0.895966249756185217911763629672, 0.444122144570429200349792608904},
-    {0.890448723244757878170219100866, 0.455083587126343835915776026013},
-    {0.884797098430937789537154003483, 0.465976495767966181205110842711},
-    {0.879012226428633525188161002006, 0.476799230063322088124522224462},
-    {0.873094978418290090793618674070, 0.487550160148435995921545327292},
-    {0.867046245515692648453409674403, 0.498227666972781868537367699901},
-    {0.860866938637767309394632775366, 0.508830142543106989094781056338},
-    {0.854557988365400533758986512112, 0.519355990165589642693078076263},
-    {0.848120344803297232516570147709, 0.529803624686294605261593915202},
-    {0.841554977436898443698964911164, 0.540171472729892854225397513801},
-    {0.834862874986380010255970773869, 0.550457972936604811309280194109},
-    {0.828045045257755796264120817796, 0.560661576197336031235352038493},
-    {0.821102514991104648345299210632, 0.570780745886967255664501408319},
-    {0.814036329705948413781868566730, 0.580813958095764526490256685065},
-    {0.806847553543799334008213008929, 0.590759701858874164415169616404},
-    {0.799537269107905013143522410246, 0.600616479383868973052074125007},
-    {0.792106577300212388870193080948, 0.610382806276309475279617799970},
-    {0.784556597155575241586689116957, 0.620057211763289095607376566477},
-    {0.776888465673232442298967725947, 0.629638238914926984257647291088},
-    {0.769103337645579698822473346809, 0.639124444863775731384691880521},
-    {0.761202385484261778714198953821, 0.648514401022112441097533519496},
-    {0.753186799043612520421220324351, 0.657806693297078637350239205261},
-    {0.745057785441466058351522860903, 0.666999922303637471365789224365},
-    {0.736816568877369904022600621829, 0.676092703575315923103516979609},
-    {0.728464390448225196372789014276, 0.685083667772700355413917350234},
-    {0.720002507961381654766341853247, 0.693971460889654001569226693391},
-    {0.711432195745216433557800428389, 0.702754744457225299925084982533},
+    {0.732654271672412815696873167326, 0.680600997795453022121137109934},
+    {-0.680600997795453022121137109934, 0.732654271672412815696873167326},
+    {0.0368072229413588317137318028927, 0.999322384588349543754759451986},
+    {-0.999322384588349543754759451986, 0.0368072229413588317137318028927},
+    {0.999981175282601109088886914833, 0.0061358846491544752690949771079},
+    {-0.0061358846491544752690949771079, 0.999981175282601109088886914833},
     {0.702754744457225299925084982533, 0.711432195745216433557800428389},
-    {0.693971460889654001569226693391, 0.720002507961381654766341853247},
-    {0.685083667772700355413917350234, 0.728464390448225196372789014276},
-    {0.676092703575316034125819442124, 0.736816568877369793000298159313},
-    {0.666999922303637471365789224365, 0.745057785441465947329220398387},
-    {0.657806693297078637350239205261, 0.753186799043612409398917861836},
-    {0.648514401022112552119835982012, 0.761202385484261778714198953821},
-    {0.639124444863775731384691880521, 0.769103337645579587800170884293},
-    {0.629638238914927095279949753603, 0.776888465673232442298967725947},
-    {0.620057211763289206629679028993, 0.784556597155575241586689116957},
-    {0.610382806276309475279617799970, 0.792106577300212388870193080948},
-    {0.600616479383868973052074125007, 0.799537269107905013143522410246},
-    {0.590759701858874275437472078920, 0.806847553543799222985910546413},
-    {0.580813958095764526490256685065, 0.814036329705948302759566104214},
-    {0.570780745886967366686803870834, 0.821102514991104648345299210632},
-    {0.560661576197336031235352038493, 0.828045045257755796264120817796},
+    {-0.711432195745216433557800428389, 0.702754744457225299925084982533},
+    {0.921514039342041901825552940863, 0.388345046698826301678764139069},
+    {-0.388345046698826301678764139069, 0.921514039342041901825552940863},
+    {0.377007410216418259452098027396, 0.926210242138311379278547974536},
+    {-0.926210242138311379278547974536, 0.377007410216418259452098027396},
+    {0.979569765685440518865334524889, 0.201104634842091900548410876581},
+    {-0.201104634842091900548410876581, 0.979569765685440518865334524889},
     {0.550457972936604811309280194109, 0.834862874986380010255970773869},
-    {0.540171472729892965247699976317, 0.841554977436898332676662448648},
-    {0.529803624686294827306198840233, 0.848120344803297121494267685193},
-    {0.519355990165589531670775613748, 0.854557988365400533758986512112},
-    {0.508830142543106989094781056338, 0.860866938637767309394632775366},
-    {0.498227666972781868537367699901, 0.867046245515692648453409674403},
-    {0.487550160148436051432696558550, 0.873094978418290090793618674070},
-    {0.476799230063322254657975918235, 0.879012226428633414165858539491},
-    {0.465976495767966125693959611453, 0.884797098430937789537154003483},
-    {0.455083587126343835915776026013, 0.890448723244757878170219100866},
-    {0.444122144570429255860943840162, 0.895966249756185106889461167157},
-    {0.433093818853152012771090539900, 0.901348847046022028095535461034},
-    {0.422000270799799792609263704435, 0.906595704514915334826241632982},
-    {0.410843171057903910892150634027, 0.911706032005429878317670500110},
-    {0.399624199845646788098463275674, 0.916679059921042704850435711705},
-    {0.388345046698826301678764139069, 0.921514039342041901825552940863},
-    {0.377007410216418314963249258653, 0.926210242138311268256245512021},
-    {0.365612997804773964816149600665, 0.930766961078983712241097236983},
-    {0.354163525420490510331461564419, 0.935183509938947499229300319712},
-    {0.342660717311994378331263533255, 0.939459223602189918977956040180},
-    {0.331106305759876429206656212045, 0.943593458161960385588429289783},
-    {0.319502030816015747394231993894, 0.947585591017741091235393469105},
-    {0.307849640041534977630277580829, 0.951435020969008338198591445689},
-    {0.296150888243623955364824951175, 0.955141168305770671409504757321},
+    {-0.834862874986380010255970773869, 0.550457972936604811309280194109},
+    {0.828045045257755796264120817796, 0.560661576197336031235352038493},
+    {-0.560661576197336031235352038493, 0.828045045257755796264120817796},
+    {0.18906866414980622037589341744, 0.981963869109555242964404442318},
+    {-0.981963869109555242964404442318, 0.18906866414980622037589341744},
+    {0.994564570734255415374036601861, 0.104121633872054572544918471522},
+    {-0.104121633872054572544918471522, 0.994564570734255415374036601861},
+    {0.629638238914926984257647291088, 0.776888465673232442298967725947},
+    {-0.776888465673232442298967725947, 0.629638238914926984257647291088},
+    {0.879012226428633525188161002006, 0.476799230063322143635673455719},
+    {-0.476799230063322143635673455719, 0.879012226428633525188161002006},
     {0.284407537211271821409042104278, 0.958703474895871599059660184139},
-    {0.272621355449948976623630869653, 0.962121404269041580192833862384},
-    {0.260794117915275569519195641988, 0.965394441697689398296233775909},
-    {0.248927605745720259555753273162, 0.968522094274417266746013410739},
-    {0.237023605994367336791128764162, 0.971503890986251783523641734064},
-    {0.225083911359792776529786806350, 0.974339382785575858214599520579},
-    {0.213110319916091361935883696788, 0.977028142657754394839741962642},
-    {0.201104634842091956059562107839, 0.979569765685440518865334524889},
-    {0.189068664149806275887044648698, 0.981963869109555242964404442318},
-    {0.177004220412148860486212242904, 0.984210092386929025209951760189},
-    {0.164913120489970088655695690250, 0.986308097244598669384174627339},
-    {0.152797185258443407596118390757, 0.988257567730749464374184753979},
-    {0.140658239332849238634182142960, 0.990058210262297122561392370699},
-    {0.128498110793793224315706424932, 0.991709753669099525197339062288},
-    {0.116318630911904877245355294235, 0.993211949234794500007694750821},
-    {0.104121633872054725200584357481, 0.994564570734255415374036601861},
-    {0.091908956497132696106255878021, 0.995767414467659817134403965611},
-    {0.079682437971430125633887087133, 0.996820299291165667909808689728},
-    {0.067443919563664106453515501016, 0.997723066644191636243022003327},
-    {0.055195244349690031349098262581, 0.998475580573294774211490221205},
-    {0.042938256934940959019808559560, 0.999077727752645361469774343277},
-    {0.030674803176636580848146707012, 0.999529417501093142561785498401},
-    {0.018406729905804820185410974887, 0.999830581795823403190581757372},
-    {0.006135884649154515167734924574, 0.999981175282601109088886914833},
-    {-0.006135884649154392869729868210, 0.999981175282601109088886914833},
-    {-0.018406729905804695285320704556, 0.999830581795823403190581757372},
-    {-0.030674803176636459417503388636, 0.999529417501093142561785498401},
-    {-0.042938256934940834119718289230, 0.999077727752645361469774343277},
-    {-0.055195244349689913387901896158, 0.998475580573294774211490221205},
-    {-0.067443919563663981553425230686, 0.997723066644191636243022003327},
-    {-0.079682437971430014611584624618, 0.996820299291165778932111152244},
-    {-0.091908956497132571206165607691, 0.995767414467659817134403965611},
-    {-0.104121633872054600300494087151, 0.994564570734255415374036601861},
-    {-0.116318630911904752345265023905, 0.993211949234794500007694750821},
-    {-0.128498110793793113293403962416, 0.991709753669099525197339062288},
-    {-0.140658239332849127611879680444, 0.990058210262297122561392370699},
-    {-0.152797185258443296573815928241, 0.988257567730749464374184753979},
-    {-0.164913120489969949877817612105, 0.986308097244598669384174627339},
-    {-0.177004220412148749463909780388, 0.984210092386929025209951760189},
-    {-0.189068664149806164864742186182, 0.981963869109555242964404442318},
-    {-0.201104634842091817281684029695, 0.979569765685440518865334524889},
-    {-0.213110319916091250913581234272, 0.977028142657754394839741962642},
-    {-0.225083911359792665507484343834, 0.974339382785575858214599520579},
-    {-0.237023605994367225768826301646, 0.971503890986251783523641734064},
-    {-0.248927605745720120777875195017, 0.968522094274417377768315873254},
-    {-0.260794117915275458496893179472, 0.965394441697689398296233775909},
-    {-0.272621355449948865601328407138, 0.962121404269041580192833862384},
-    {-0.284407537211271710386739641763, 0.958703474895871599059660184139},
-    {-0.296150888243623844342522488660, 0.955141168305770671409504757321},
-    {-0.307849640041534866607975118313, 0.951435020969008338198591445689},
-    {-0.319502030816015636371929531379, 0.947585591017741202257695931621},
-    {-0.331106305759876318184353749530, 0.943593458161960385588429289783},
-    {-0.342660717311994267308961070739, 0.939459223602189918977956040180},
-    {-0.354163525420490399309159101904, 0.935183509938947610251602782228},
-    {-0.365612997804773853793847138149, 0.930766961078983712241097236983},
-    {-0.377007410216418203940946796138, 0.926210242138311379278547974536},
-    {-0.388345046698826190656461676554, 0.921514039342042012847855403379},
-    {-0.399624199845646677076160813158, 0.916679059921042704850435711705},
-    {-0.410843171057903799869848171511, 0.911706032005429878317670500110},
-    {-0.422000270799799681586961241919, 0.906595704514915334826241632982},
-    {-0.433093818853151901748788077384, 0.901348847046022028095535461034},
-    {-0.444122144570429144838641377646, 0.895966249756185217911763629672},
-    {-0.455083587126343724893473563498, 0.890448723244757989192521563382},
-    {-0.465976495767966014671657148938, 0.884797098430937900559456465999},
-    {-0.476799230063321921591068530688, 0.879012226428633525188161002006},
-    {-0.487550160148435718365789171003, 0.873094978418290201815921136586},
-    {-0.498227666972781590981611543612, 0.867046245515692759475712136918},
-    {-0.508830142543107100117083518853, 0.860866938637767198372330312850},
-    {-0.519355990165589642693078076263, 0.854557988365400533758986512112},
-    {-0.529803624686294716283896377718, 0.848120344803297232516570147709},
-    {-0.540171472729892854225397513801, 0.841554977436898443698964911164},
-    {-0.550457972936604700286977731594, 0.834862874986380121278273236385},
-    {-0.560661576197335920213049575977, 0.828045045257755796264120817796},
-    {-0.570780745886967144642198945803, 0.821102514991104759367601673148},
-    {-0.580813958095764415467954222549, 0.814036329705948524804171029245},
-    {-0.590759701858874053392867153889, 0.806847553543799445030515471444},
-    {-0.600616479383868751007469199976, 0.799537269107905235188127335277},
-    {-0.610382806276309586301920262486, 0.792106577300212277847890618432},
-    {-0.620057211763289206629679028993, 0.784556597155575130564386654441},
-    {-0.629638238914927095279949753603, 0.776888465673232442298967725947},
-    {-0.639124444863775731384691880521, 0.769103337645579587800170884293},
-    {-0.648514401022112441097533519496, 0.761202385484261889736501416337},
-    {-0.657806693297078637350239205261, 0.753186799043612520421220324351},
-    {-0.666999922303637360343486761849, 0.745057785441466058351522860903},
-    {-0.676092703575315812081214517093, 0.736816568877370015044903084345},
-    {-0.685083667772700244391614887718, 0.728464390448225307395091476792},
-    {-0.693971460889653779524621768360, 0.720002507961381765788644315762},
-    {-0.702754744457225077880480057502, 0.711432195745216655602405353420},
-    {-0.711432195745216544580102890905, 0.702754744457225188902782520017},
-    {-0.720002507961381654766341853247, 0.693971460889654001569226693391},
-    {-0.728464390448225196372789014276, 0.685083667772700355413917350234},
-    {-0.736816568877369904022600621829, 0.676092703575315923103516979609},
-    {-0.745057785441465947329220398387, 0.666999922303637582388091686880},
-    {-0.753186799043612409398917861836, 0.657806693297078748372541667777},
-    {-0.761202385484261667691896491306, 0.648514401022112552119835982012},
-    {-0.769103337645579476777868421777, 0.639124444863775842406994343037},
-    {-0.776888465673232331276665263431, 0.629638238914927206302252216119},
-    {-0.784556597155575019542084191926, 0.620057211763289428674283954024},
-    {-0.792106577300212166825588155916, 0.610382806276309697324222725001},
-    {-0.799537269107905124165824872762, 0.600616479383868862029771662492},
-    {-0.806847553543799334008213008929, 0.590759701858874164415169616404},
-    {-0.814036329705948413781868566730, 0.580813958095764526490256685065},
-    {-0.821102514991104648345299210632, 0.570780745886967255664501408319},
-    {-0.828045045257755685241818355280, 0.560661576197336142257654501009},
-    {-0.834862874986380010255970773869, 0.550457972936604922331582656625},
-    {-0.841554977436898332676662448648, 0.540171472729892965247699976317},
-    {-0.848120344803297121494267685193, 0.529803624686294827306198840233},
-    {-0.854557988365400422736684049596, 0.519355990165589753715380538779},
-    {-0.860866938637767087350027850334, 0.508830142543107322161688443884},
-    {-0.867046245515692759475712136918, 0.498227666972781757515065237385},
-    {-0.873094978418290090793618674070, 0.487550160148435884899242864776},
-    {-0.879012226428633525188161002006, 0.476799230063322088124522224462},
+    {-0.958703474895871599059660184139, 0.284407537211271821409042104278},
+    {0.955141168305770671409504757321, 0.296150888243623788831371257402},
+    {-0.296150888243623788831371257402, 0.955141168305770671409504757321},
+    {0.465976495767966181205110842711, 0.884797098430937789537154003483},
     {-0.884797098430937789537154003483, 0.465976495767966181205110842711},
-    {-0.890448723244757878170219100866, 0.455083587126343891426927257271},
-    {-0.895966249756185106889461167157, 0.444122144570429311372095071420},
-    {-0.901348847046021917073232998519, 0.433093818853152068282241771158},
-    {-0.906595704514915334826241632982, 0.422000270799799848120414935693},
-    {-0.911706032005429767295368037594, 0.410843171057904132936755559058},
-    {-0.916679059921042593828133249190, 0.399624199845647065654219431963},
-    {-0.921514039342041790803250478348, 0.388345046698826579234520295358},
-    {-0.926210242138311379278547974536, 0.377007410216418148429795564880},
-    {-0.930766961078983712241097236983, 0.365612997804773798282695906892},
-    {-0.935183509938947610251602782228, 0.354163525420490399309159101904},
-    {-0.939459223602189918977956040180, 0.342660717311994433842414764513},
-    {-0.943593458161960385588429289783, 0.331106305759876484717807443303},
-    {-0.947585591017741091235393469105, 0.319502030816015802905383225152},
-    {-0.951435020969008338198591445689, 0.307849640041535033141428812087},
-    {-0.955141168305770671409504757321, 0.296150888243624010875976182433},
-    {-0.958703474895871488037357721623, 0.284407537211272098964798260567},
-    {-0.962121404269041469170531399868, 0.272621355449949254179387025943},
-    {-0.965394441697689287273931313393, 0.260794117915275847074951798277},
-    {-0.968522094274417377768315873254, 0.248927605745720093022299579388},
-    {-0.971503890986251783523641734064, 0.237023605994367170257675070388},
-    {-0.974339382785575858214599520579, 0.225083911359792832040938037608},
-    {-0.977028142657754394839741962642, 0.213110319916091417447034928045},
-    {-0.979569765685440518865334524889, 0.201104634842092011570713339097},
-    {-0.981963869109555242964404442318, 0.189068664149806359153771495585},
-    {-0.984210092386929025209951760189, 0.177004220412148943752939089791},
-    {-0.986308097244598558361872164824, 0.164913120489970144166846921507},
-    {-0.988257567730749464374184753979, 0.152797185258443685151874547046},
-    {-0.990058210262297011539089908183, 0.140658239332849543945513914878},
-    {-0.991709753669099525197339062288, 0.128498110793793085537828346787},
-    {-0.993211949234794500007694750821, 0.116318630911904710711901600462},
-    {-0.994564570734255415374036601861, 0.104121633872054572544918471522},
-    {-0.995767414467659817134403965611, 0.091908956497132751617407109279},
-    {-0.996820299291165667909808689728, 0.079682437971430195022826126205},
-    {-0.997723066644191636243022003327, 0.067443919563664175842454540089},
-    {-0.998475580573294774211490221205, 0.055195244349690093799143397746},
-    {-0.999077727752645361469774343277, 0.042938256934941021469853694725},
-    {-0.999529417501093142561785498401, 0.030674803176636865342796767209},
-    {-0.999830581795823403190581757372, 0.018406729905805101210614083129},
-    {-0.999981175282601109088886914833, 0.006135884649154798795023246782}};
-__constant__ double2 negTwids10[512] = {
-    {0.999995293809576191179644411022, 0.003067956762965976143242574636},
-    {0.999957644551963897860957786179, 0.009203754782059819436468295351},
-    {0.999882347454212561110864498914, 0.015339206284988100154054180280},
-    {0.999769405351215278976440004044, 0.021474080275469507872454499875},
-    {0.999618822495178638298796158779, 0.027608145778965739736143802929},
-    {0.999430604555461732374510575028, 0.033741171851377579904429637736},
-    {0.999204758618363886313318289467, 0.039872927587739810662004202868},
-    {0.998941293186856871244572175783, 0.046003182130914622993689278019},
-    {0.998640218180265271108453362103, 0.052131704680283323660727745619},
-    {0.998301544933892892608184865821, 0.058258264500435752442086823066},
-    {0.997925286198595995479365683423, 0.064382630929857465051924236832},
-    {0.997511456140303454098727797827, 0.070504573389613856004842773473},
-    {0.997060070339482962253896403126, 0.076623861392031492045795459944},
-    {0.996571145790554835386387821927, 0.082740264549375691638388730098},
-    {0.996044700901251967017913102609, 0.088853552582524600311764118032},
-    {0.995480755491926938560709459125, 0.094963495329638991648835144588},
-    {0.994879330794805616378084778262, 0.101069862754827821671455012620},
-    {0.994240449453187902228989969444, 0.107172424956808842733124720326},
-    {0.993564135520595304029711769545, 0.113270952177564346308180631695},
-    {0.992850414459865104888081077661, 0.119365214810991354665858921180},
-    {0.992099313142191796544011594960, 0.125454983411546233673661276953},
-    {0.991310859846115444149461382040, 0.131540028702883116107358318914},
-    {0.990485084256457093410119796317, 0.137620121586486038323116076754},
-    {0.989622017463200887021912421915, 0.143695033150294471102625948333},
-    {0.988721691960323778580743692146, 0.149764534677321509148484324214},
-    {0.987784141644572177831662429526, 0.155828397654265232707970767478},
-    {0.986809401814185527257450303296, 0.161886393780111825790868351760},
-    {0.985797509167567476140447979560, 0.167938294974731172626292163841},
-    {0.984748501801904208008409113972, 0.173983873387463822135501345656},
-    {0.983662419211730254531289574516, 0.180022901405699514709723985106},
-    {0.982539302287441240757459581801, 0.186055151663446632914755696220},
-    {0.981379193313754560890060929523, 0.192080397049892437344453810510},
-    {0.980182135968117429491996972502, 0.198098410717953560267190482591},
-    {0.978948175319062197097252919775, 0.204108966092816868087567172552},
-    {0.977677357824509929429268595413, 0.210111836880469610155941495577},
-    {0.976369731330021140003339041868, 0.216106797076219520059581213900},
-    {0.975025345066994120202252815943, 0.222093620973203509372240205266},
-    {0.973644249650811977048192602524, 0.228072083170885731018273645532},
-    {0.972226497078936269247151358286, 0.234041958583543430183482314533},
-    {0.970772140728950350130332935805, 0.240003022448741498706681340991},
-    {0.969281235356548531711951000034, 0.245955050335794594973393145665},
-    {0.967753837093475510755524737760, 0.251897818154216968089542660891},
-    {0.966190003445412504134992559557, 0.257831102162158987134432663879},
-    {0.964589793289812758025902894587, 0.263754678974831346938145770764},
-    {0.962953266873683877413725440420, 0.269668325572915090759806844289},
-    {0.961280485811320639655264130852, 0.275571819310958143756096205834},
-    {0.959571513081984517334888096229, 0.281464937925757940906379417356},
-    {0.957826413027532908017747104168, 0.287347459544729511016214473784},
-    {0.956045251349996405565434542950, 0.293219162694258628221177787054},
-    {0.954228095109105667326332422817, 0.299079826308040475080218811854},
-    {0.952375012719765878799194069870, 0.304929229735402373968611300370},
-    {0.950486073949481702349828537990, 0.310767152749611474948920886163},
-    {0.948561349915730267490232563432, 0.316593375556165845807754521957},
-    {0.946600913083283534987799612281, 0.322407678801069852436711471455},
-    {0.944604837261480256849210945802, 0.328209843579092497289906305014},
-    {0.942573197601446866045193928585, 0.333999651442009382051878674247},
-    {0.940506070593268295176869742136, 0.339776884406826851225957852876},
-    {0.938403534063108057949875728809, 0.345541324963989093799199281420},
-    {0.936265667170278259590077141183, 0.351292756085567092760868490586},
-    {0.934092550404258981089355984295, 0.357030961233429977585984715915},
-    {0.931884265581668147504501575895, 0.362755724367397225371689728490},
-    {0.929640895843181325197690512141, 0.368466829953372321249105425522},
-    {0.927362525650401114951648651186, 0.374164062971457933581831412084},
-    {0.925049240782677584249427127361, 0.379847208924051160661150561282},
+    {0.769103337645579698822473346809, 0.639124444863775731384691880521},
+    {-0.639124444863775731384691880521, 0.769103337645579698822473346809},
+    {0.0919089564971327238618314936502, 0.995767414467659817134403965611},
+    {-0.995767414467659817134403965611, 0.0919089564971327238618314936502},
+    {0.998475580573294774211490221205, 0.0551952443496899411434775117868},
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-    {-0.972226497078936269247151358286, 0.234041958583543513450209161419},
-    {-0.973644249650811866025890140008, 0.228072083170886064085181033079},
-    {-0.975025345066994120202252815943, 0.222093620973203648150118283411},
-    {-0.976369731330021140003339041868, 0.216106797076219436792854367013},
-    {-0.977677357824509929429268595413, 0.210111836880469804444970804980},
-    {-0.978948175319062197097252919775, 0.204108966092816840331991556923},
-    {-0.980182135968117318469694509986, 0.198098410717953810067371023251},
-    {-0.981379193313754560890060929523, 0.192080397049892465100029426139},
-    {-0.982539302287441240757459581801, 0.186055151663446910470511852509},
-    {-0.983662419211730254531289574516, 0.180022901405699570220875216364},
-    {-0.984748501801904208008409113972, 0.173983873387464127446833117574},
-    {-0.985797509167567365118145517044, 0.167938294974731283648594626356},
-    {-0.986809401814185527257450303296, 0.161886393780111742524141504873},
-    {-0.987784141644572177831662429526, 0.155828397654265371485848845623},
-    {-0.988721691960323778580743692146, 0.149764534677321453637333092956},
-    {-0.989622017463200775999609959399, 0.143695033150294637636079642107},
-    {-0.990485084256457093410119796317, 0.137620121586486038323116076754},
-    {-0.991310859846115444149461382040, 0.131540028702883338151963243945},
-    {-0.992099313142191796544011594960, 0.125454983411546261429236892582},
-    {-0.992850414459865104888081077661, 0.119365214810991632221615077469},
-    {-0.993564135520595304029711769545, 0.113270952177564415697119670767},
-    {-0.994240449453187902228989969444, 0.107172424956809161922244300058},
-    {-0.994879330794805616378084778262, 0.101069862754827932693757475135},
-    {-0.995480755491926938560709459125, 0.094963495329638908382108297701},
-    {-0.996044700901251967017913102609, 0.088853552582524752967430003991},
-    {-0.996571145790554835386387821927, 0.082740264549375636127237498840},
-    {-0.997060070339482962253896403126, 0.076623861392031686334824769347},
-    {-0.997511456140303454098727797827, 0.070504573389613856004842773473},
-    {-0.997925286198595995479365683423, 0.064382630929857700974316969678},
-    {-0.998301544933892892608184865821, 0.058258264500435794075450246510},
-    {-0.998640218180265160086150899588, 0.052131704680283594277589998001},
-    {-0.998941293186856871244572175783, 0.046003182130914706260416124906},
-    {-0.999204758618363886313318289467, 0.039872927587740129851123782601},
-    {-0.999430604555461732374510575028, 0.033741171851377704804519908066},
-    {-0.999618822495178638298796158779, 0.027608145778965659938863907996},
-    {-0.999769405351215278976440004044, 0.021474080275469667467014289741},
-    {-0.999882347454212561110864498914, 0.015339206284988060255414232813},
-    {-0.999957644551963897860957786179, 0.009203754782060020664391508660},
-    {-0.999995293809576191179644411022, 0.003067956762965977010604312625}};
-__constant__ double2 negTwids11[1024] = {
-    {0.999998823451701879250208548910, 0.001533980186284765500140392369},
-    {0.999989411081928403213225919899, 0.004601926120448570495247153644},
-    {0.999970586430974139879879203363, 0.007669828739531097012982474581},
-    {0.999942349676023911619893169700, 0.010737659167264490545079524964},
-    {0.999904701082852898075259417965, 0.013805388528060390587737238377},
-    {0.999857641005823860602674812981, 0.016872987947281710419122902067},
-    {0.999801169887884255693677459931, 0.019940428551514441379843844970},
-    {0.999735288260561683060245741217, 0.023007681468839368682521850928},
-    {0.999659996743959222698094890802, 0.026074717829103900845755248383},
-    {0.999575296046749217637739093334, 0.029141508764193722186286450437},
-    {0.999481186966166945673251120752, 0.032208025408304585823771049036},
-    {0.999377670388002847801089956192, 0.035274238898213947090987119282},
-    {0.999264747286594423592021030345, 0.038340120373552694088559178454},
-    {0.999142418724816905317709370138, 0.041405640977076739461804066877},
-    {0.999010685854073376965800434846, 0.044470771854938667688728060057},
-    {0.998869549914283560987371402007, 0.047535484156959302570744085870},
-    {0.998719012233872938111289840890, 0.050599749036899281662282845673},
-    {0.998559074229759313645615748101, 0.053663537652730519678101472891},
-    {0.998389737407340160935120820795, 0.056726821166907748228425134585},
-    {0.998211003360478188461968329648, 0.059789570746639868203953227521},
-    {0.998022873771486240812578216719, 0.062851757564161406244274132860},
-    {0.997825350411111644532979880751, 0.065913352797003804672826277056},
-    {0.997618435138519554783442799817, 0.068974327628266746126328712307},
-    {0.997402129901275302792384991335, 0.072034653246889332467439714947},
-    {0.997176436735326188198769159499, 0.075094300847921305330778807274},
-    {0.996941357764982161171474217554, 0.078153241632794231974479259861},
-    {0.996696895202896060439456960012, 0.081211446809592441331560053186},
-    {0.996443051350042630076586647192, 0.084268887593324071083600301790},
-    {0.996179828595696981174967277184, 0.087325535206192059223262447176},
-    {0.995907229417411721250630307622, 0.090381360877864982961149564744},
-    {0.995625256380994305693832302495, 0.093436335845747786610360208215},
-    {0.995333912140482279795605791151, 0.096490431355252592737770100939},
-    {0.995033199438118631796612589824, 0.099543618660069319026284517804},
-    {0.994723121104325702646065110457, 0.102595869022436281259302859326},
-    {0.994403680057679095760647669522, 0.105647153713410615893941724153},
-    {0.994074879304879366337388546526, 0.108697444013138716512045789386},
-    {0.993736721940724598844951742649, 0.111746711211126587004471844011},
-    {0.993389211148080653046577026544, 0.114794926606510083733070359813},
-    {0.993032350197851410023019980144, 0.117842061508324977281425560705},
-    {0.992666142448948018994769881829, 0.120888087235777083594534531130},
-    {0.992290591348257366988150351972, 0.123932975118512159196093591618},
-    {0.991905700430609327256092910829, 0.126976696496885865794723713407},
-    {0.991511473318743896676608073903, 0.130019222722233346312137314271},
-    {0.991107913723276889861324434605, 0.133060525157139064589273402817},
-    {0.990695025442664634063305584277, 0.136100575175706201003222872714},
-    {0.990272812363169108174076882278, 0.139139344163826200739819682894},
-    {0.989841278458820528207695588208, 0.142176803519448030632688073638},
-    {0.989400427791380376874030844192, 0.145212924652847463757865398293},
-    {0.988950264510302989862111644470, 0.148247678986896030961517567448},
-    {0.988490792852696587011962492397, 0.151281037957330222187835033765},
-    {0.988022017143283526330321819842, 0.154312973013020104939840848601},
-    {0.987543941794359225738730856392, 0.157343455616238248051530490557},
-    {0.987056571305750973799320036051, 0.160372457242928284637528690837},
-    {0.986559910264775408172965853737, 0.163399949382973225242565717963},
-    {0.986053963346195438965935409215, 0.166425903540464104057861050023},
-    {0.985538735312176061853506325861, 0.169450291233967959003692271835},
-    {0.985014231012239838136679281888, 0.172473083996795950589842050249},
-    {0.984480455383220931508958528866, 0.175494253377271425264893878193},
-    {0.983937413449218922778527485207, 0.178513770938997506920742353032},
-    {0.983385110321551181300492316950, 0.181531608261124965952859611207},
-    {0.982823551198705236409125518549, 0.184547736938619616475776297193},
-    {0.982252741366289372493270093400, 0.187562128582529602516260069933},
-    {0.981672686196983113049441271869, 0.190574754820252739717645340534},
-    {0.981083391150486705534206066659, 0.193585587295803607243982469299},
-    {0.980484861773469384971235740522, 0.196594597670080223350552728334},
-    {0.979877103699517637558358273964, 0.199601757621130970754563804803},
-    {0.979260122649082020984678820241, 0.202607038844421133427786685388},
-    {0.978633924429423207591582922760, 0.205610413053099239100163231342},
-    {0.977998514934557139355320032337, 0.208611851978263485030140600429},
-    {0.977353900145199960824982099439, 0.211611327369227553152342125031},
-    {0.976700086128711841837457541260, 0.214608810993786758292145577798},
-    {0.976037079039039023875545808551, 0.217604274638483641268749124720},
-    {0.975364885116656976649096577603, 0.220597690108873506487086046945},
-    {0.974683510688510668096284916828, 0.223589029229789987285315078225},
-    {0.973992962167955833585608615977, 0.226578263845610000659647198518},
-    {0.973293246054698246716441190074, 0.229565365820518868522626121376},
-    {0.972584368934732212963467645750, 0.232550307038775244672379471922},
-    {0.971866337480279396388027635112, 0.235533059404975486650357652252},
-    {0.971139158449725092836501971760, 0.238513594844318416177131325639},
-    {0.970402838687555502339421309443, 0.241491885302869330187647278763},
-    {0.969657385124292447997618182853, 0.244467902747824150644362362073},
-    {0.968902804776428872024496286031, 0.247441619167773269039045658246},
-    {0.968139104746362444409157888003, 0.250413006572965224361126956865},
-    {0.967366292222328505445716473332, 0.253382036995570159021440304059},
-    {0.966584374478333119284911845170, 0.256348682489942913953484548983},
-    {0.965793358874083684995071052981, 0.259312915132886234736986352800},
-    {0.964993252854920324779186557862, 0.262274707023913589143404578863},
-    {0.964184063951745828902062385168, 0.265234030285511790392405373495},
-    {0.963365799780954046305225801916, 0.268190857063403176319127396710},
-    {0.962538468044359163400258694310, 0.271145159526808010586051977953},
-    {0.961702076529122540371474769927, 0.274096909868706384294512190536},
-    {0.960856633107679658500899222418, 0.277046080306099895551597001031},
-    {0.960002145737665957270223771047, 0.279992643080273218014752956151},
-    {0.959138622461841894306644462631, 0.282936570457055391880629713341},
-    {0.958266071408017672261792085919, 0.285877834727080615273564490053},
-    {0.957384500788975856266915798187, 0.288816408206049479723276363075},
-    {0.956493918902395101611091376981, 0.291752263234989261952989636484},
-    {0.955594334130771105861867908970, 0.294685372180514326689859672115},
-    {0.954685754941338338142031716416, 0.297615707435086196408491332477},
-    {0.953768189885990325116438270925, 0.300543241417273454541003729901},
-    {0.952841647601198715733517019544, 0.303467946572011315620187588138},
-    {0.951906136807932345966776210844, 0.306389795370860917866906447671},
-    {0.950961666311575082310980633338, 0.309308760312268726799800333538},
-    {0.950008245001842999144514578802, 0.312224813921824884133116029261},
-    {0.949045881852700556891022642958, 0.315137928752522444852957050898},
-    {0.948074585922276225069538213575, 0.318048077385014948958996683359},
-    {0.947094366352777217166192258446, 0.320955232427875214451518104397},
-    {0.946105232370403448349804875761, 0.323859366517852853561976189667},
-    {0.945107193285260605009057144343, 0.326760452320131733472408086527},
-    {0.944100258491272659178150661319, 0.329658462528587492545995019100},
-    {0.943084437466093494784047379653, 0.332553369866044223890355624462},
-    {0.942059739771017312648382358020, 0.335445147084531603010049138902},
-    {0.941026175050889257533981435699, 0.338333766965541127280658884047},
-    {0.939983753034014046789934582193, 0.341219202320282355422875752993},
-    {0.938932483532064598996669246844, 0.344101425989938813909674308888},
-    {0.937872376439989885454906470841, 0.346980410845923681328883958486},
-    {0.936803441735921560429289911553, 0.349856129790134917634247813112},
-    {0.935725689481080369347409941838, 0.352728555755210726463388937191},
-    {0.934639129819680780641988349089, 0.355597661704783851721600740348},
-    {0.933543772978836172704575346870, 0.358463420633736540299452144609},
-    {0.932439629268462355504709648812, 0.361325805568454283545065663930},
-    {0.931326709081180426075263767416, 0.364184789567079891803302871267},
-    {0.930205022892219068886277000274, 0.367040345719767180376891246851},
-    {0.929074581259315857018066253659, 0.369892447148934100376038713875},
-    {0.927935394822617887200522091007, 0.372741067009515758545745711672},
-    {0.926787474304581748718590006320, 0.375586178489217215048512343856},
-    {0.925630830509872715161634459946, 0.378427754808765559602079520118},
-    {0.924465474325262603905173364183, 0.381265769222162376195228716824},
+    {0.966190003445412504134992559557, 0.257831102162158987134432663879},
+    {-0.257831102162158987134432663879, 0.966190003445412504134992559557},
+    {0.500885382611240825845300150831, 0.865513624090569089197799712565},
+    {-0.865513624090569089197799712565, 0.500885382611240825845300150831},
+    {0.793975477554337172314546933194, 0.60794978496777363208281030893},
+    {-0.60794978496777363208281030893, 0.793975477554337172314546933194},
+    {0.131540028702883116107358318914, 0.99131085984611544414946138204},
+    {-0.99131085984611544414946138204, 0.131540028702883116107358318914},
+    {0.986809401814185527257450303296, 0.16188639378011182579086835176},
+    {-0.16188639378011182579086835176, 0.986809401814185527257450303296},
+    {0.58330865293769829094117085333, 0.812250586585203881995198571531},
+    {-0.812250586585203881995198571531, 0.58330865293769829094117085333},
+    {0.849741768000852548681223197491, 0.527199134781901390667258056055},
+    {-0.527199134781901390667258056055, 0.849741768000852548681223197491},
+    {0.228072083170885731018273645532, 0.973644249650811977048192602524},
+    {-0.973644249650811977048192602524, 0.228072083170885731018273645532},
+    {0.936265667170278259590077141183, 0.351292756085567092760868490586},
+    {-0.351292756085567092760868490586, 0.936265667170278259590077141183},
+    {0.413638312238434557865929264153, 0.910441292258067247367137042602},
+    {-0.910441292258067247367137042602, 0.413638312238434557865929264153},
+    {0.730562769227827590867718754453, 0.682845546385248081122654184583},
+    {-0.682845546385248081122654184583, 0.730562769227827590867718754453},
+    {0.0337411718513775868433235416433, 0.999430604555461732374510575028},
+    {-0.999430604555461732374510575028, 0.0337411718513775868433235416433},
+    {0.999204758618363886313318289467, 0.039872927587739810662004202868},
+    {-0.039872927587739810662004202868, 0.999204758618363886313318289467},
+    {0.678350043129861468571561999852, 0.734738878095963499070819580083},
+    {-0.734738878095963499070819580083, 0.678350043129861468571561999852},
+    {0.907886116487666261498645781103, 0.419216888363223960656256394941},
+    {-0.419216888363223960656256394941, 0.907886116487666261498645781103},
+    {0.345541324963989038288048050163, 0.938403534063108057949875728809},
+    {-0.938403534063108057949875728809, 0.345541324963989038288048050163},
+    {0.972226497078936269247151358286, 0.234041958583543402427906698904},
+    {-0.234041958583543402427906698904, 0.972226497078936269247151358286},
+    {0.521975292937154389250054009608, 0.852960604930363630593603829766},
+    {-0.852960604930363630593603829766, 0.521975292937154389250054009608},
+    {0.8086561815881749826218083399, 0.588281548222645334078606538242},
+    {-0.588281548222645334078606538242, 0.8086561815881749826218083399},
+    {0.155828397654265232707970767478, 0.987784141644572177831662429526},
+    {-0.987784141644572177831662429526, 0.155828397654265232707970767478},
+    {0.990485084256457093410119796317, 0.137620121586486038323116076754},
+    {-0.137620121586486038323116076754, 0.990485084256457093410119796317},
+    {0.603066598540348164370072936435, 0.797690840943391155093422639766},
+    {-0.797690840943391155093422639766, 0.603066598540348164370072936435},
+    {0.862423956111040501681941350398, 0.50618664534515533937053533009},
+    {-0.50618664534515533937053533009, 0.862423956111040501681941350398},
+    {0.251897818154216968089542660891, 0.96775383709347551075552473776},
+    {-0.96775383709347551075552473776, 0.251897818154216968089542660891},
+    {0.944604837261480256849210945802, 0.328209843579092497289906305014},
+    {-0.328209843579092497289906305014, 0.944604837261480256849210945802},
+    {0.435857079922255474802028629711, 0.900015892016160279354153317399},
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-__device__ double2 negTwids12[2048] = {
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+    {0.635282201508823418656390913384, 0.772280081606474322342137384112},
+    {-0.772280081606474322342137384112, 0.635282201508823418656390913384},
+    {0.882463015719070154041503428743, 0.470381787368520709602393026216},
+    {-0.470381787368520709602393026216, 0.882463015719070154041503428743},
+    {0.291385430966355662985023400324, 0.95660573415621508175377130101},
+    {-0.95660573415621508175377130101, 0.291385430966355662985023400324},
+    {0.95727367068575519581941080105, 0.289183539316850257705482363235},
+    {-0.289183539316850257705482363235, 0.95727367068575519581941080105},
+    {0.472411062334764098036288260118, 0.881378345651706918140178004251},
+    {-0.881378345651706918140178004251, 0.472411062334764098036288260118},
+    {0.77373980194926184061898766231, 0.633503527124764320710426090955},
+    {-0.633503527124764320710426090955, 0.77373980194926184061898766231},
+    {0.0991620208967425031953979441823, 0.995071300767776167894851369056},
+    {-0.995071300767776167894851369056, 0.0991620208967425031953979441823},
+    {0.981009079866112632117847169866, 0.193961813819738870812159348134},
+    {-0.193961813819738870812159348134, 0.981009079866112632117847169866},
+    {0.556526458935723722376565092418, 0.830829886622083568781249596213},
+    {-0.830829886622083568781249596213, 0.556526458935723722376565092418},
+    {0.832108237435735587084195685748, 0.55461327174130403694363167233},
+    {-0.55461327174130403694363167233, 0.832108237435735587084195685748},
+    {0.19621857198766087804209234946, 0.980560182756327836095522343385},
+    {-0.980560182756327836095522343385, 0.19621857198766087804209234946},
+    {0.924319192757675156535412952508, 0.381620269246537358043269705377},
+    {-0.381620269246537358043269705377, 0.924319192757675156535412952508},
+    {0.383746088957365005800426160931, 0.923438649402290367973478169006},
+    {-0.923438649402290367973478169006, 0.383746088957365005800426160931},
+    {0.70791982920081630847874976098, 0.706292797233758484765075991163},
+    {-0.706292797233758484765075991163, 0.70791982920081630847874976098},
+    {0.00115048533711384847431913325266, 0.99999933819152553304832053982},
+    {-0.99999933819152553304832053982, 0.00115048533711384847431913325266}};
diff --git a/src/fft/twiddles.cuh b/src/fft/twiddles.cuh
index 7d8481179..2b8ffceab 100644
--- a/src/fft/twiddles.cuh
+++ b/src/fft/twiddles.cuh
@@ -2,19 +2,6 @@
 #ifndef GPU_BOOTSTRAP_TWIDDLES_CUH
 #define GPU_BOOTSTRAP_TWIDDLES_CUH
 
-extern __constant__ short SW1[4096];
-extern __constant__ short SW2[4096];
-
-extern __constant__ double2 negTwids3[4];
-extern __constant__ double2 negTwids4[8];
-extern __constant__ double2 negTwids5[16];
-extern __constant__ double2 negTwids6[32];
-extern __constant__ double2 negTwids7[64];
-extern __constant__ double2 negTwids8[128];
-extern __constant__ double2 negTwids9[256];
-extern __constant__ double2 negTwids10[512];
-extern __constant__ double2 negTwids11[1024];
-extern __device__ double2 negTwids12[2048];
-extern __device__ double2 negTwids13[4096];
+extern __constant__ double2 negtwiddles[4096];
 
 #endif
diff --git a/src/polynomial/functions.cuh b/src/polynomial/functions.cuh
index bbc839390..e40773820 100644
--- a/src/polynomial/functions.cuh
+++ b/src/polynomial/functions.cuh
@@ -170,8 +170,8 @@ __device__ void add_to_torus(double2 *m_values, Torus *result) {
     Torus V2 = 0;
     typecast_double_to_torus<Torus>(frac, V2);
 
-    result[tid * 2] += V1;
-    result[tid * 2 + 1] += V2;
+    result[tid] += V1;
+    result[tid + params::degree / 2] += V2;
     tid = tid + params::degree / params::opt;
   }
 }
diff --git a/src/vertical_packing.cuh b/src/vertical_packing.cuh
index 7af9221bc..d3ef42446 100644
--- a/src/vertical_packing.cuh
+++ b/src/vertical_packing.cuh
@@ -21,17 +21,11 @@ template <class params> __device__ void fft(double2 *output) {
   // Switch to the FFT space
   NSMFFT_direct<HalfDegree<params>>(output);
   synchronize_threads_in_block();
-
-  correction_direct_fft_inplace<params>(output);
-  synchronize_threads_in_block();
 }
 
 template <class params> __device__ void ifft_inplace(double2 *data) {
   synchronize_threads_in_block();
 
-  correction_inverse_fft_inplace<params>(data);
-  synchronize_threads_in_block();
-
   NSMFFT_inverse<HalfDegree<params>>(data);
   synchronize_threads_in_block();
 }