pari-2.13.1.tar.gz: pari-2.13.1/src/test/32/mf

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Member "pari-2.13.1/src/test/32/mf" (14 Jan 2021, 79038 Bytes) of package /linux/misc/pari-2.13.1.tar.gz:

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2.13.0_vs_2.13.1.

1 *** Warning: new stack size = 40000000 (38.147 Mbytes). 2 3 [ "Factors" 0 0 0 0] 4 5 [ "Divisors" 0 0 0 0] 6 7 [ "H" 0 0 0 0] 8 9 ["CorediscF" 0 0 0 0] 10 11 [ "Dihedral" 0 0 0 0] 12 13 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 14 [Mod(-1/5*t - 2/5, t^2 + 1), Mod(1, t^2 + 1), Mod(4*t + 1, t^2 + 1), Mod(-9* 15 t + 1, t^2 + 1), Mod(4*t - 15, t^2 + 1), Mod(1, t^2 + 1), Mod(-5*t + 37, t^2 16 + 1), Mod(49*t + 1, t^2 + 1), Mod(-60*t - 15, t^2 + 1), Mod(-9*t - 80, t^2 17 + 1), Mod(4*t + 1, t^2 + 1), Mod(122, t^2 + 1), Mod(139*t + 21, t^2 + 1), Mo 18 d(-169*t + 1, t^2 + 1), Mod(53*t - 195, t^2 + 1), Mod(-9*t + 1, t^2 + 1)] 19 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20 [0, 1, 0, 8, 0, -26, 0, -48, 0, 73, 0, 120, 0, -170, 0, -208] 21 5 22 23 23 40000 24 20000 25 0 26 [0, 8]~ 27 [16, -4]~ 28 [16, -32, 256]~ 29 [64/5, 4/5, 32/5]~ 30 31 [ 0] 32 33 [ 1] 34 35 [ 0] 36 37 [ -516] 38 39 [ 0] 40 41 [-10530] 42 43 [ 0] 44 45 [ 49304] 46 47 [ 0] 48 49 [ 89109] 50 51 [ 0] 52 53 54 [ 0 0 0 0] 55 56 [ 1 0 0 1] 57 58 [ -24 1 0 0] 59 60 [ 252 0 0 -516] 61 62 [ -1472 -24 1 0] 63 64 [ 4830 0 0 -10530] 65 66 [ -6048 252 0 0] 67 68 [ -16744 0 0 49304] 69 70 [ 84480 -1472 -24 0] 71 72 [-113643 0 0 89109] 73 74 [-115920 4830 0 0] 75 76 77 [ 0 0 0 0] 78 79 [ -24 1 0 0] 80 81 [ -1472 -24 1 0] 82 83 [ -6048 252 0 0] 84 85 [ 84480 -1472 -24 0] 86 87 [-115920 4830 0 0] 88 89 [[43/64, 129/8, 1376, 21/64]~, [0, 1, 0; 768, 24, 0; 18432, 2048, 768; 0, -1 90 , 0]] 91 [[43/64, -63/8, 800, 21/64]~, [1, 0; 24, 0; 2048, 768; -1, 0]] 92 [[1, 0, 1472, 0]~, [0; 0; 768; 0]] 93 [1, 0, 0, 0]~ 94 [1, [1, 1]] 95 [1, 0, 0, 0]~ 96 [1, 0, 0, 0]~ 97 [] 98 [1] 99 [] 100 [] 101 [0, 0] 102 [] 103 [0, 0] 104 0 105 10 106 0 107 1 108 0 109 0 110 0 111 1 112 [] 113 [[1, Mod(0, 1), 0, 0]] 114 0 115 1 116 0 117 0 118 [[0, 0], [0, 0], [0, 0], [0, 0]] 119 [[1, 0], [0, 0], [0, 0], [1, 0]] 120 77291 121 29586 122 65034 123 [[11/32, 1/64, 1/32; 1/32, -9/64, -5/32; -1/8, 3/16, 1/8; -5/32, 1/64, 1/32; 124 -5/32, -7/64, 1/32; -1/8, 1/16, 1/8; -3/32, 3/64, -1/32; -1/16, 3/32, 1/16; 125 -1/32, -3/64, -3/32; -1/32, 5/64, -3/32; 0, 0, 0], [y, y, y, y^4 - y^3 - 5* 126 y^2 + 3*y + 4, y^4 - y^3 - 8*y^2 + 4*y + 12]] 127 [y, y, y] 128 [y, y, y] 129 [y, y, y] 130 [y, y, y, y^4 - y^3 - 5*y^2 + 3*y + 4, y^4 - y^3 - 8*y^2 + 4*y + 12] 131 [y^40 + y^38 - 22*y^36 - 488*y^34 + 200*y^32 + 61712*y^30 + 53952*y^28 - 211 132 6352*y^26 - 23962624*y^24 + 95379456*y^22 + 2793799680*y^20 + 6104285184*y^1 133 8 - 98150907904*y^16 - 554788978688*y^14 + 905164357632*y^12 + 6626275544268 134 8*y^10 + 13743895347200*y^8 - 2146246697418752*y^6 - 6192449487634432*y^4 + 135 18014398509481984*y^2 + 1152921504606846976] 136 [y, y^2 + Mod(-2*t, t^2 + t + 1), y^5 + Mod(t + 1, t^2 + t + 1)*y^4 + Mod(-3 137 7*t, t^2 + t + 1)*y^3 + 21*y^2 + Mod(-288*t - 288, t^2 + t + 1)*y + Mod(64*t 138 , t^2 + t + 1)] 139 [1, 1] 140 1 141 [[2, Mod(22, 23), 1, 0], [22, Mod(5, 23), 1, 0]] 142 [] 143 0 144 6 145 2 146 [0, 3, -1, 0, 3, 1, -8, -1, -9, 1, -1, -2, 4, 10, 1, -2, 7, -2, 7, -4] 147 [0, -1, 9, -8, -11, -1, 4, 1, 13, 7, 9, 8, -20, 6, -9, -8, -27, -6, 5, 20] 148 [0, 2, 8, -8, -8, 0, -4, 0, 4, 8, 8, 6, -16, 16, -8, -10] 149 [0, 0, -3, 28, -33, -28, 34, 6, -113, 88, 33, 128, 108, -62, -17, 6] 150 [0, 1, 17, -16, -19, -1, 0, 1, 17, 15, 17, 14, -36, 22, -17, -18] 151 [0, 3, -1, 0, 3, 1, -8, -1, -9, 1, -1, -2, 4, 10, 1, -2, 7, -2, 7, -4, 7, 2, 152 8, -8, -4, 3, 6, -12, -7, 4, -8, -4, -9, -12, -6, -3, 3, 14, 20, -6, -9, -1 153 0, 8, 0, 0, 5, -16, 4, 28, 3] 154 [0, -8, 4, 4, -20, -8, 32, 8, 36, -12, 4, -4, -24, -20, -4, 4] 155 [0, 0, 3, 0, -1, 0, 0, 0, 3, 0, 1, 0, -8, 0, -1, 0] 156 [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -1, 0, 0, 0] 157 [0, 3, -1, 0, 3, -1, 8, 0, -9, 1, 1, -2, -4, -10, 0, -2] 158 [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 159 [0, 1/2, 1/3, 1/4, 3/4, 1/6, 1/8, 3/8, 1/12, 7/12, 1/16, 1/24, 7/24, 1/32, 1 160 /48, 1/96] 161 [96, 24, 32, 6, 6, 8, 3, 3, 2, 2, 3, 1, 1, 3, 1, 1] 162 [1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1] 163 [1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1] 164 16 165 6442450944 166 15917322219892801768783872 167 96 168 10 169 88 170 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 171 "TR([96, 6, 1, y, t - 1])" 172 "CONST([])" 173 [-2, -4] 174 [0, 72, -2, -4, -12, -16, -90, -8, 424, -8, -300, -8, -396, -16, 944, -976] 175 [0, 0] 176 [0, 10, 0, 0, 0, -76, 0, 0, 0, 810, 0, 0, 0, 12, 0, 0] 177 [0, 1, -1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0] 178 [Mod(0, t^2 - t + 1), Mod(1, t^2 - t + 1), Mod(-t, t^2 - t + 1), Mod(0, t^2 179 - t + 1), Mod(t - 1, t^2 - t + 1), Mod(-1, t^2 - t + 1), Mod(0, t^2 - t + 1) 180 , Mod(0, t^2 - t + 1), Mod(1, t^2 - t + 1), Mod(t - 1, t^2 - t + 1), Mod(t, 181 t^2 - t + 1), Mod(0, t^2 - t + 1), Mod(0, t^2 - t + 1), Mod(-t, t^2 - t + 1) 182 , Mod(0, t^2 - t + 1), Mod(0, t^2 - t + 1)] 183 [Mod(0, t^4 - t^3 + t^2 - t + 1), Mod(1, t^4 - t^3 + t^2 - t + 1), Mod(-t, t 184 ^4 - t^3 + t^2 - t + 1), Mod(t^3 + t - 1, t^4 - t^3 + t^2 - t + 1), Mod(t^2, 185 t^4 - t^3 + t^2 - t + 1), Mod(0, t^4 - t^3 + t^2 - t + 1), Mod(-t^3 + 1, t^ 186 4 - t^3 + t^2 - t + 1), Mod(0, t^4 - t^3 + t^2 - t + 1), Mod(-t^3, t^4 - t^3 187 + t^2 - t + 1), Mod(-t^2 - 1, t^4 - t^3 + t^2 - t + 1), Mod(0, t^4 - t^3 + 188 t^2 - t + 1), Mod(-t^3, t^4 - t^3 + t^2 - t + 1), Mod(t^3 - t^2 - 1, t^4 - t 189 ^3 + t^2 - t + 1), Mod(0, t^4 - t^3 + t^2 - t + 1), Mod(0, t^4 - t^3 + t^2 - 190 t + 1), Mod(0, t^4 - t^3 + t^2 - t + 1)] 191 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 192 [0, 2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2] 193 [0, 2, -2, 0, -12, 0, 28, -16, 40, -2, -56, 0, -56, 0, 16, 112] 194 [0, 1, -1, -1, -1, 1, 1, 0, 3, 1, -1, -4, 1, -2, 0, -1] 195 [0, 2, 4, 0, -6, 0, -6, -4, -36, 18, -10, 28, -24, 96, 36, 30] 196 [15, 4, 1, y, t - 1] 197 8 198 [4, 1, [0, 4, 0, -48, 0, 216, 0, -352, 0, -396]] 199 [4, 2, [0, 0, 7, 0, 0, 0, -84, 0, 0, 0]] 200 72 201 [3, 1, [0, 4, -24, 36, 16, 24, -216, -160, 672, 324]] 202 [3, 2, [0, 0, 7, 0, -42, 0, 63, 0, 28, 0]] 203 6 204 62 205 16 206 10 207 [[2717/14336, 3993/28672, 185/14336, 2717/14336, 3993/28672, 185/14336; -103 208 /4608, 65/3072, -7/4608, 103/4608, -65/3072, 7/4608; 225/57344, -95/114688, 209 -123/57344, 225/57344, -95/114688, -123/57344; 5/1024, -49/18432, 13/9216, - 210 5/1024, 49/18432, -13/9216; 1/2048, -5/12288, -1/6144, -1/2048, 5/12288, 1/6 211 144; 31/57344, -33/114688, -5/57344, 31/57344, -33/114688, -5/57344; -7/9216 212 , 1/18432, -1/3072, 7/9216, -1/18432, 1/3072; -5/28672, -1/57344, -1/28672, 213 -5/28672, -1/57344, -1/28672; 1/2048, -1/36864, 1/18432, -1/2048, 1/36864, - 214 1/18432; -11/57344, -115/1032192, 9/57344, -11/57344, -115/1032192, 9/57344] 215 , [y, y, y, y, y, y, y^2 - 31, y^2 - 31]] 216 [[2717/14336, 3993/28672, 185/14336, 2717/14336, 3993/28672, 185/14336, Mod( 217 -4227/888832*y + 4539/57344, y^2 - 31), Mod(-4227/888832*y + 4539/57344, y^2 218 - 31); -103/4608, 65/3072, -7/4608, 103/4608, -65/3072, 7/4608, Mod(-29/952 219 32*y + 179/6144, y^2 - 31), Mod(29/95232*y - 179/6144, y^2 - 31); 225/57344, 220 -95/114688, -123/57344, 225/57344, -95/114688, -123/57344, Mod(785/3555328* 221 y - 109/229376, y^2 - 31), Mod(785/3555328*y - 109/229376, y^2 - 31); 5/1024 222 , -49/18432, 13/9216, -5/1024, 49/18432, -13/9216, Mod(13/571392*y - 67/3686 223 4, y^2 - 31), Mod(-13/571392*y + 67/36864, y^2 - 31); 1/2048, -5/12288, -1/6 224 144, -1/2048, 5/12288, 1/6144, Mod(-13/380928*y + 1/24576, y^2 - 31), Mod(13 225 /380928*y - 1/24576, y^2 - 31); 31/57344, -33/114688, -5/57344, 31/57344, -3 226 3/114688, -5/57344, Mod(-81/3555328*y - 19/229376, y^2 - 31), Mod(-81/355532 227 8*y - 19/229376, y^2 - 31); -7/9216, 1/18432, -1/3072, 7/9216, -1/18432, 1/3 228 072, Mod(17/571392*y + 19/36864, y^2 - 31), Mod(-17/571392*y - 19/36864, y^2 229 - 31); -5/28672, -1/57344, -1/28672, -5/28672, -1/57344, -1/28672, Mod(-5/1 230 777664*y + 13/114688, y^2 - 31), Mod(-5/1777664*y + 13/114688, y^2 - 31); 1/ 231 2048, -1/36864, 1/18432, -1/2048, 1/36864, -1/18432, Mod(1/1142784*y - 19/73 232 728, y^2 - 31), Mod(-1/1142784*y + 19/73728, y^2 - 31); -11/57344, -115/1032 233 192, 9/57344, -11/57344, -115/1032192, 9/57344, Mod(461/31997952*y + 151/206 234 4384, y^2 - 31), Mod(461/31997952*y + 151/2064384, y^2 - 31)], [y, y, y, y, 235 y, y, y^2 - 31, y^2 - 31]] 236 [1, 1, 1, 1, 1, 1, 2, 2] 237 [[2717/14336, 3993/28672, 185/14336, 2717/14336, 3993/28672, 185/14336; -103 238 /4608, 65/3072, -7/4608, 103/4608, -65/3072, 7/4608; 225/57344, -95/114688, 239 -123/57344, 225/57344, -95/114688, -123/57344; 5/1024, -49/18432, 13/9216, - 240 5/1024, 49/18432, -13/9216; 1/2048, -5/12288, -1/6144, -1/2048, 5/12288, 1/6 241 144; 31/57344, -33/114688, -5/57344, 31/57344, -33/114688, -5/57344; -7/9216 242 , 1/18432, -1/3072, 7/9216, -1/18432, 1/3072; -5/28672, -1/57344, -1/28672, 243 -5/28672, -1/57344, -1/28672; 1/2048, -1/36864, 1/18432, -1/2048, 1/36864, - 244 1/18432; -11/57344, -115/1032192, 9/57344, -11/57344, -115/1032192, 9/57344] 245 , [y, y, y, y, y, y]] 246 [[2717/14336, 3993/28672, 185/14336, 2717/14336, 3993/28672, 185/14336, Mod( 247 -4227/888832*y + 4539/57344, y^2 - 31), Mod(-4227/888832*y + 4539/57344, y^2 248 - 31); -103/4608, 65/3072, -7/4608, 103/4608, -65/3072, 7/4608, Mod(-29/952 249 32*y + 179/6144, y^2 - 31), Mod(29/95232*y - 179/6144, y^2 - 31); 225/57344, 250 -95/114688, -123/57344, 225/57344, -95/114688, -123/57344, Mod(785/3555328* 251 y - 109/229376, y^2 - 31), Mod(785/3555328*y - 109/229376, y^2 - 31); 5/1024 252 , -49/18432, 13/9216, -5/1024, 49/18432, -13/9216, Mod(13/571392*y - 67/3686 253 4, y^2 - 31), Mod(-13/571392*y + 67/36864, y^2 - 31); 1/2048, -5/12288, -1/6 254 144, -1/2048, 5/12288, 1/6144, Mod(-13/380928*y + 1/24576, y^2 - 31), Mod(13 255 /380928*y - 1/24576, y^2 - 31); 31/57344, -33/114688, -5/57344, 31/57344, -3 256 3/114688, -5/57344, Mod(-81/3555328*y - 19/229376, y^2 - 31), Mod(-81/355532 257 8*y - 19/229376, y^2 - 31); -7/9216, 1/18432, -1/3072, 7/9216, -1/18432, 1/3 258 072, Mod(17/571392*y + 19/36864, y^2 - 31), Mod(-17/571392*y - 19/36864, y^2 259 - 31); -5/28672, -1/57344, -1/28672, -5/28672, -1/57344, -1/28672, Mod(-5/1 260 777664*y + 13/114688, y^2 - 31), Mod(-5/1777664*y + 13/114688, y^2 - 31); 1/ 261 2048, -1/36864, 1/18432, -1/2048, 1/36864, -1/18432, Mod(1/1142784*y - 19/73 262 728, y^2 - 31), Mod(-1/1142784*y + 19/73728, y^2 - 31); -11/57344, -115/1032 263 192, 9/57344, -11/57344, -115/1032192, 9/57344, Mod(461/31997952*y + 151/206 264 4384, y^2 - 31), Mod(461/31997952*y + 151/2064384, y^2 - 31)], [y, y, y, y, 265 y, y, y^2 - 31, y^2 - 31]] 266 [0, 1, 0, 9, 0, 26, 0, 36, 0, 81, y] 267 [0, 1, 0, 9, 0, -14, 0, -100, 0, 81, y] 268 [0, 1, 0, 9, 0, -86, 0, 180, 0, 81, y] 269 [0, 1, 0, -9, 0, 26, 0, -36, 0, 81, y] 270 [0, 1, 0, -9, 0, -14, 0, 100, 0, 81, y] 271 [0, 1, 0, -9, 0, -86, 0, -180, 0, 81, y] 272 [Mod(0, y^2 - 31), Mod(1, y^2 - 31), Mod(0, y^2 - 31), Mod(9, y^2 - 31), Mod 273 (0, y^2 - 31), Mod(16*y + 18, y^2 - 31), Mod(0, y^2 - 31), Mod(16*y + 60, y^ 274 2 - 31), Mod(0, y^2 - 31), Mod(81, y^2 - 31), y^2 - 31] 275 [Mod(0, y^2 - 31), Mod(1, y^2 - 31), Mod(0, y^2 - 31), Mod(-9, y^2 - 31), Mo 276 d(0, y^2 - 31), Mod(16*y + 18, y^2 - 31), Mod(0, y^2 - 31), Mod(-16*y - 60, 277 y^2 - 31), Mod(0, y^2 - 31), Mod(81, y^2 - 31), y^2 - 31] 278 [Mod(0, y^2 - 31), Mod(0, y^2 - 31), Mod(1, y^2 - 31), Mod(0, y^2 - 31), Mod 279 (-18, y^2 - 31), Mod(0, y^2 - 31), Mod(32*y + 117, y^2 - 31), Mod(0, y^2 - 3 280 1), Mod(-320*y - 444, y^2 - 31), Mod(0, y^2 - 31), Mod(864*y + 9502, y^2 - 3 281 1), Mod(0, y^2 - 31), Mod(-2304*y - 19690, y^2 - 31), Mod(0, y^2 - 31), Mod( 282 2592*y + 16536, y^2 - 31), 0] 283 21 284 [4, -7, 11, 0, 0, 0, 0, 0, 0, 0]~ 285 286 [0 0 0 0 0 0 0 0 0 0] 287 288 [0 0 0 0 0 0 0 0 0 0] 289 290 [0 0 0 0 0 0 0 0 0 0] 291 292 [0 0 0 0 0 0 0 0 0 0] 293 294 [0 0 0 0 0 0 0 0 0 0] 295 296 [0 0 0 0 0 0 0 0 0 0] 297 298 [0 0 0 0 0 0 0 0 0 0] 299 300 [0 0 0 0 0 0 0 0 0 0] 301 302 [0 0 0 0 0 0 0 0 0 0] 303 304 [0 0 0 0 0 0 0 0 0 0] 305 306 307 [0 81 0 0 4887/7 0 0 0 45522/7 0] 308 309 [1 0 0 0 0 -264 0 1422 0 0] 310 311 [0 0 0 0 477/28 0 81 0 1269/7 0] 312 313 [0 0 0 0 0 61 0 -152 0 81] 314 315 [0 0 0 0 0 12 0 12 0 0] 316 317 [0 0 0 0 171/28 0 0 0 27/7 0] 318 319 [0 0 1 0 0 -7 0 40 0 0] 320 321 [0 0 0 0 9/14 0 0 0 -27/7 0] 322 323 [0 0 0 0 0 2 0 -19 0 0] 324 325 [0 0 0 1 -95/28 0 0 0 -71/7 0] 326 327 [[81, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 81, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 81, 0, 328 0, 0, 0, 0, 0, 0; 0, 0, 0, 81, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 81, 0, 0, 0, 0 329 , 0; 0, 0, 0, 0, 0, 81, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 81, 0, 0, 0; 0, 0, 0, 330 0, 0, 0, 0, 81, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 81, 0; 0, 0, 0, 0, 0, 0, 0, 0, 331 0, 81], [0, 0, 0, 155223/7, -647676/7, 0, 1574721/7, 0, 2180790/7, 0; 0, 0, 332 8068, 0, 0, -45888, 0, -25888, 0, 86508; 0, 81, 0, 22293/28, -8640/7, 0, -6 333 0507/28, 0, -63009/14, 0; 0, 0, -288, 0, 0, 2656, 0, 4468, 0, -8424; 0, 0, - 334 27, 0, 0, -42, 0, -1482, 0, 81; 0, 0, 0, -909/28, 540/7, 0, -11421/28, 0, -1 335 791/14, 0; 1, 0, 120, 0, 0, -808, 0, -550, 0, 2592; 0, 0, 0, 549/14, -1674/7 336 , 0, 3159/14, 0, 801/7, 0; 0, 0, -63, 0, 0, 467, 0, 266, 0, -810; 0, 0, 0, - 337 167/28, 148/7, 0, 12393/28, 0, 8891/14, 0], [-2434/7, 0, 300738/7, 0, 0, 229 338 0482/7, 0, 16881306/7, 0, 11792304/7; 0, 4943, 0, 78792, -67632, 0, 416424, 339 0, 265872, 0; -747/28, 0, 39517/14, 0, 0, -329463/14, 0, 567081/14, 0, -1517 340 13/7; 0, -288, 0, -4237, -8472, 0, -39276, 0, -47928, 0; 0, -27, 0, -972, 16 341 43, 0, -2754, 0, 108, 0; -141/28, 0, -5811/14, 0, 0, -12575/14, 0, -11937/14 342 , 0, -58239/7; 0, 120, 0, 1320, -1440, 0, 13151, 0, 18000, 0; 39/14, 0, 1299 343 /7, 0, 0, -1269/7, 0, 15800/7, 0, 12312/7; 0, -63, 0, -618, 408, 0, -4356, 0 344 , -6337, 0; 153/28, 0, 2463/14, 0, 0, -13443/14, 0, -22899/14, 0, 37304/7]] 345 0.43212772973212385449512289817170941385 346 0.065367804723930579823031060437204674227 347 -3.2767866024378219074845099715117890907 348 0.34284913090478965797177570867964351435 349 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-9/4096 -591/3584 1135/7168 -22815/7168 12357/3584 49113/14336 -457 374 77/3584 48943/7168 1215/128] 375 376 [-1/512 1/16 -41/256 -5/32 59/16 -1447/256 143/32 -3613/256 283/16 -1063/128 377 ] 378 379 [1/1024 3/256 -39/512 3/32 -3/64 -121/512 -3/128 -3/512 39/64 -321/256] 380 381 [9/7168 9/4096 47/3584 -879/7168 799/7168 1371/3584 -7641/14336 -3407/3584 2 382 769/7168 81/128] 383 384 [1/512 -1/128 25/256 1/16 -23/32 7/256 -55/64 637/256 -101/32 223/128] 385 386 [-1/3584 9/2048 -27/1792 65/3584 255/3584 -171/1792 135/7168 111/1792 -79/35 387 84 0] 388 389 [-1/1024 1/128 -9/512 1/64 1/4 -103/512 5/16 -733/512 23/16 -151/256] 390 391 [-5/7168 19/4096 61/3584 171/7168 -1371/7168 -687/3584 3965/14336 2963/3584 392 4267/7168 -81/128] 393 394 395 [1 0 0] 396 397 [0 1 0] 398 399 [0 0 1] 400 401 [0, 0, 0, 18, 0, 224, 0, 440, 0, 0, 0, 840, 0, 192, 0, 900] 402 403 [1] 404 405 [17.981439237735731033658522362934698192, -14.465932470400861049133659073570 406 007347, -14.173043447523315720648161399342292854, -12.8444792338479425607250 407 88799397162586, -12.673296763439189428830632012708642221, 11.313822387102528 408 758430335085165159676, 15.809242390926312020182669681356476477, 19.952518856 409 726468490501784413242971475, 12.164217722077195145237910274949933293, 15.381 410 272600128290391693466194368971580] 411 [149.32003336233083380416740549931024313, -145.22528341237431879984196577788 412 550379, -144.05206065368915254369133157416377264, -137.368077052425797668068 413 45719565543525, -136.68537976117761802503641918389974975, 132.33498216866595 414 894851650979950974707, 144.81477270149742577794938046771306641, 153.37574451 415 331022295236625862817598070, 133.99393725109713614517615928616029184, 140.82 416 191407690427938490321804273819109] 417 [1750.8612976244284982995145051957076323, -1743.4610846371885006840699908522 418 210646, -1739.3285039438314041396755906212872382, -1706.54568655078571155570 419 67243660579136, -1704.1559309139961646459809162176700473, 1693.2006899626197 420 396492113391602468661, 1739.6937549158404780145317707347222603, 1760.8038249 421 508416117204235666645232767, 1696.9537629837898396249480554755379813, 1714.4 422 123077300799878900824934093074081] 423 [-25289.463103882493149683693231641947547, 25271.306252281313102094765195122 424 776006, 25256.284246728344311859481152424676239, 25079.367724015404662920284 425 476322170148, 25070.741444350281949178792195757223585, -25040.19987820531753 426 6042355830671301459, -25256.861209437637891371256419970666372, -25318.141977 427 898178949067363044347232866, -25050.025763197973566457964437905037423, -2510 428 2.674289656622081201236099263608944] 429 0.15111211321192334885298629517871164534 430 -0.029981366891420022975489657187955538024 431 1 432 [0, 1, -4, 2, 8, -5, -8, 6, 0, -23] 433 [0, t, -4*t^2, 2*t^3, -8*t^3 - 8*t^2 - 8*t - 8, -5, -8*t, 6*t^2, 0, 23*t^3 + 434 23*t^2 + 23*t + 23, 20] 435 [0, 5, [1, 0; 0, 1]] 436 [0, 1, -2, -1, 2, 1] 437 [0, 1, [1, 0; 0, 1]] 438 [1/4, 0, 0, 0, 0] 439 [1/2, 11, [1, 0; 0, 1]] 440 [0, 0.0083160068527003923763819239796690829909 + 0.0186369836048978260765912 441 63978546433841*I, 0.040773714507830673270468368068835601812 - 0.001864595582 442 8220482074272494197134258868*I, 0.046062126409693852745000230038901860300 - 443 0.13522737805608561952910766786281685190*I, -0.07682530715670062861328778204 444 2554261374 + 0.027600040327739509297577443995295764559*I, -0.125743903939079 445 05970350003436207154063 + 0.067798479979021507423866878355650878641*I] 446 [0, 7, [1, 0; 0, 1]] 447 [0, 0, 0, 0.66666666666666666666666666666666666667 + 0.E-38*I, 0, -4.0000000 448 000000000000000000000000000000 + 6.9282032302755091741097853660234894676*I, 449 0, -12.000000000000000000000000000000000000 - 20.784609690826527522329356098 450 070468402*I, 0, 0, 0, 20.000000000000000000000000000000000018 - 34.641016151 451 377545870548926830117447370*I, 0] 452 [Mod(0, t^2 + t + 1), Mod(0, t^2 + t + 1), Mod(0, t^2 + t + 1), Mod(2/3, t^2 453 + t + 1), Mod(0, t^2 + t + 1), Mod(8*t, t^2 + t + 1), Mod(0, t^2 + t + 1), 454 Mod(-24*t - 24, t^2 + t + 1), Mod(0, t^2 + t + 1), Mod(0, t^2 + t + 1), Mod( 455 0, t^2 + t + 1), Mod(-40*t, t^2 + t + 1), Mod(0, t^2 + t + 1)] 456 [-5/32, 81/32, 21/16, -597/8, 1215/32, 1689/8, -14813/16, -14337/16] 457 [1/2, 1, [1, 0; 0, 1]] 458 [Mod(0, t^2 + t + 1), Mod(0, t^2 + t + 1), Mod(2/3*t, t^2 + t + 1), Mod(-2/3 459 , t^2 + t + 1), Mod(4/3*t + 4/3, t^2 + t + 1)] 460 1 461 [Mod(61/256*t, t^2 + 1), Mod(-1/64*t, t^2 + 1), Mod(-1/64*t, t^2 + 1), Mod(9 462 1/8*t, t^2 + 1), Mod(-1/64*t, t^2 + 1), Mod(-7813/32*t, t^2 + 1)] 463 [0, 1, [1, 0; 0, 1]] 464 [Mod(0, t^2 + 1), Mod(-t, t^2 + 1), Mod(0, t^2 + 1), Mod(2*t, t^2 + 1)*y] 465 [0, 1, [1, 0; 0, 1]] 466 [0, 0, -0.026871677793768185811758182803469159206 - 0.0427660302192192146895 467 36937410383070596*I, 0, -0.016681611742316464491440499523538796306 - 0.04767 468 3307393570615953995380441278707349*I, 0] 469 470 [ 0 1] 471 472 [-1 0] 473 474 1 475 476 [1/4 1/4] 477 478 [1/4 -1/4] 479 480 0.35355339059327376220042218105242451964 481 482 [x + Mod(-t, t^2 + 1) 2] 483 484 [ x + Mod(t, t^2 + 1) 2] 485 486 1 487 [[I, -I, -I, I, I, -I]] 488 [[0.33333333333333333333333333333333333334 + 0.94280904158206336586779248280 489 646538571*I, -0.33333333333333333333333333333333333334 + 0.94280904158206336 490 586779248280646538571*I]] 491 [[-1, -1, -1, -1, -1, -1, -1, -1, -1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]] 492 [1, 0, 240, 0, 2160, 0, 6720, 0, 17520, 0, 30240] 493 [0, -1, -1, 1, -1, -1, 1, 2, -1, 2, -1] 494 [5/2*x, x, 2*x, 0, 3*x, 2*x] 495 496 [ 3 3] 497 498 [-1/3 -3] 499 500 [1/4, -1/4]~ 501 [0, 1, 0, -3, 0, -2, 0, -4, 0, 6, 0, 2, 0, -5, 0, 6] 502 [0, 0, 0, 0, 0, 0, 0] 503 [64/5, 4/5, 32/5]~ 504 [1, 20, 180, 960, 3380, 8424, 16320, 28800, 52020, 88660, 129064, 175680, 26 505 2080, 386920, 489600, 600960] 506 [1, 180, 3380, 16320, 52020, 129064, 262080] 507 [0, 4, -16, 0, 64, -56, 0, 0, -256, 324, 224, 0, 0, -952, 0, 0] 508 [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 509 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 510 [3, 12, 12, 0, 12, 24, 0, 0, 12, 12, 24, 0, 0, 24, 0, 0] 511 23: [[22, [[0, 1, -1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0]]]] 512 31: [[30, [[0, 1, -1, 0, 0, -1, 0, -1, 1, 1, 1, 0, 0, 0, 1, 0]]]] 513 39: [[38, [[0, 1, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0]]]] 514 44: [[21, [[0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1]]]] 515 46: [[45, [[0, 1, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0], [0, 0, 1, 0, 516 -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0]]]] 517 47: [[46, [[0, 1, 0, -1, 0, 0, -1, 0, -1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, -1 518 , -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0]]]] 519 52: [[3, [[0, 1, -t, 0, t - 1, -1, 0, 0, 1, t - 1, t, 0, 0, -t, 0, 0]]]] 520 55: [[54, [[0, 1, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]]]] 521 56: [[13, [[0, 1, -1, 0, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1, 0]]]] 522 57: [[26, [[0, 1, 0, -t, t - 1, 0, 0, -1, 0, t - 1, 0, 0, 1, -t + 1, 0, 0]]] 523 ] 524 59: [[58, [[0, 1, 0, -1, 1, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1]]]] 525 62: [[61, [[0, 1, 0, 0, -1, -1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 526 -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0]]]] 527 63: [[55, [[0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0]]]] 528 68: [[67, [[0, 1, -1, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, -2, 0, 0]]], [47, [[0, 529 1, t, 0, -1, -t - 1, 0, 0, -t, t, -t + 1, 0, 0, 0, 0, 0]]]] 530 69: [[22, [[0, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0], [0, 0, 0, 1, 531 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0]]]] 532 71: [[70, [[0, 1, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, -1, 0, 0, -1], [0, 0, 1, 0 533 , -1, -1, -1, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, -1, -1, 0, 0, 1, 0, 1 534 , 0, 0, 0, 0, -1]]]] 535 72: [[67, [[0, 1, -t, -t, t - 1, 0, t - 1, 0, 1, t - 1, 0, t, 1, 0, 0, 0]]]] 536 76: [[37, [[0, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0]]]] 537 77: [[69, [[0, 1, t^2 - t, 0, t - 1, 0, 0, -t^3, -t^2, t^3 - t^2 + t - 1, 0, 538 -t, 0, 0, t^3 - t^2 + t, 0]]]] 539 78: [[77, [[0, 1, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0], [0, 0, 1, 0, 540 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0]]]] 541 79: [[78, [[0, 1, 0, 0, 0, -1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 542 -1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0]]]] 543 80: [[79, [[0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]]]] 544 83: [[82, [[0, 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0]]]] 545 84: [[65, [[0, 1, 0, -t, 0, 0, 0, t - 1, 0, t - 1, 0, 0, 0, -1, 0, 0]]]] 546 87: [[86, [[0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, -1, 0, 0], [0, 0, 1, -1 547 , 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0]]]] 548 88: [[65, [[0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 549 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0]]], [59, [[0, 1, -t, t^3 + t - 1, t^2, 550 0, -t^3 + 1, 0, -t^3, -t^2 - 1, 0, -t^3, t^3 - t^2 - 1, 0, 0, 0]]]] 551 92: [[45, [[0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 1, 0, 552 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 553 -1, 0, 0, 0]]]] 554 93: [[61, [[0, 1, -1, 0, 0, -1, 0, -1, 1, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 1, 555 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1]]], [47, [[0, 1, 0, -t, -t^3, 0, 0, t^ 556 3 + t - 1, 0, t^2, 0, 0, t^3 - t^2 + t - 1, -t^2 + t - 1, 0, 0]]]] 557 94: [[93, [[0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 558 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, -1, 1, -1, 0, 0 559 , -1, 0, 0, 0], [0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0]]]] 560 95: [[94, [[0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 1, -1, 561 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1], [0, 0, 0, 0, 1, -1, -1, 0, 0, 1, 0, 562 1, 0, 0, 0, 0]]]] 563 99: [[76, [[0, 1, 0, t - 1, t - 1, -t + 1, 0, 0, 0, -t, 0, -t, -t, 0, 0, t]] 564 ]] 565 100: [[91, [[0, 1, -t, 0, t^2, -t^3, 0, 0, -t^3, t^3 - t^2 + t - 1, t^3 - t^ 566 2 + t - 1, 0, 0, t^2 - t, 0, 0]]]] 567 103: [[102, [[0, 1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, -1, 0], [0, 0, 1, 568 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0]]]] 569 104: [[51, [[0, 1, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0], [0, 0, 1, 570 0, 0, -1, -1, -1, 1, 0, 0, 0, 0, 1, 0, 1]]], [55, [[0, 1, 0, 0, 0, -1, 0, 0, 571 0, t - 1, 0, 0, 0, -t, 0, 0], [0, 0, 1, 0, -t, 0, 0, 0, t - 1, 0, -1, 0, 0, 572 0, 0, 0]]]] 573 107: [[106, [[0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0]]]] 574 108: [[53, [[0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0]]]] 575 110: [[109, [[0, 1, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0], [0, 0, 1, 576 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0]]]] 577 111: [[110, [[0, 1, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, -1, 0, 0, 0], [0, 0, 1, 578 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 1 579 , 0, 0, 0, 0, 0]]], [101, [[0, 1, 0, -t, t, 0, 0, -t, 0, t - 1, 0, 0, -t + 1 580 , t - 2, 0, 0]]], [26, [[0, 1, 0, t - 1, t - 1, 0, 0, -t + 1, 0, -t, 0, 0, - 581 t, -t + 1, 0, 0]]]] 582 112: [[41, [[0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 583 -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0]]], [69, [[0, 1, t, 0, -1, 0, 0, t, -t 584 , -t, 0, -t - 1, 0, 0, -1, 0]]]] 585 114: [[83, [[0, 1, 0, -t, t - 1, 0, 0, -1, 0, t - 1, 0, 0, 1, -t + 1, 0, 0], 586 [0, 0, 1, 0, 0, 0, -t, 0, t - 1, 0, 0, 0, 0, 0, -1, 0]]]] 587 115: [[91, [[0, 1, -1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0 588 , 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1]]]] 589 116: [[115, [[0, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 1, 590 -1, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 1]]], [103, [[0, 1, -t, 0, t^2, -t^5 591 + t^4, 0, 0, -t^3, -t^3, -t^4 + t^3 - t^2 + t - 1, 0, 0, t^5 - t^4 + t^3 + 592 t - 1, 0, 0]]]] 593 117: [[116, [[0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 1 594 , 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0]]], [73, [[0, 1, 0, 0, -t, 0, 0, t - 595 1, 0, 0, 0, 0, 0, t, 0, 0]]]] 596 118: [[117, [[0, 1, 0, -1, 1, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1], [0, 0, 1, 597 0, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, -1, 0]]]] 598 119: [[118, [[0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1], [0, 0, 1, 0 599 , -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, -2, -1, 0, 0, 1, 600 0, 2, 0, 1, 0], [0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 1, 0, 1, 0, 0, 0]]]] 601 120: [[29, [[0, 1, 0, 0, -1, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1 602 , 0, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0]]]] 603 124: [[61, [[0, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 604 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 605 0, 0, 0, 0, 0]]], [87, [[0, 1, 0, 0, -1, t - 1, -t, 0, 0, 0, 0, 0, 0, -t + 1 606 , t, 0], [0, 0, 1, t, 0, 0, 0, -t, -1, 0, t - 1, -t + 1, -t, 0, 0, -1]]]] 607 126: [[55, [[0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 608 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0]]]] 609 127: [[126, [[0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, -1, 0, 0], [0, 0, 1, 610 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0]]]] 611 128: [[63, [[0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]]]] 612 129: [[41, [[0, 1, 0, -t, -t^5, 0, 0, t^4 - t^3, 0, t^2, 0, 0, t^5 - t^4 + t 613 ^3 - t^2 + t - 1, t^5 - t^4 + t^3 + t - 1, 0, 0]]]] 614 131: [[130, [[0, 1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 615 1, 0, -1, 0, -1, 0, -1, 0, 1, 1, 1, 0, 0]]]] 616 132: [[109, [[0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1 617 , 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]]]] 618 133: [[83, [[0, 1, -t, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, t - 1], [0, 0, 0 619 , 1, 0, -1, -t, t - 1, 0, 0, t, 0, 0, -t, 1, 0]]], [37, [[0, 1, 0, 0, -t, -t 620 + 1, 0, t - 1, 0, t - 1, 0, t, 0, 0, 0, 0]]]] 621 135: [[134, [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 622 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0]]]] 623 136: [[135, [[0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0], [0, 0, 1, 0 624 , -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]]], [67, [[0, 1, -1, 0, 1, 0, 0, 0, -1 625 , 1, 0, 0, 0, 0, 0, 0]]], [47, [[0, 1, 0, 0, 0, -t - 1, 0, 0, 0, t, 0, 0, 0, 626 0, 0, 0], [0, 0, 1, 0, t, 0, 0, 0, -1, 0, -t - 1, 0, 0, 0, 0, 0]]], [115, [ 627 [0, 1, -t, -t - 1, -1, 0, t - 1, 0, t, t, 0, -t + 1, t + 1, 0, 0, 0]]], [43, 628 [[0, 1, t^3, -t^3 + t^2, -t^2, 0, t^2 - t, 0, t, -t^2 + t - 1, 0, t^3 - 1, 629 -t + 1, 0, 0, 0]]]] 630 138: [[91, [[0, 1, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0], [0, 0, 1, 0 631 , -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0 632 , -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0]]]] 633 139: [[138, [[0, 1, 0, 0, 1, -1, 0, -1, 0, 1, 0, -1, 0, -1, 0, 0]]]] 634 140: [[69, [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1], [0, 0, 0, 1, 635 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0]]], [79, [[0, 1, 0, 0, -t, t - 1, -1, 636 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, -t + 1, 0, 0, 0, t - 1, -t, 0, t - 1, 637 0, -1, 0, 0, t]]]] 638 141: [[46, [[0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 639 -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0 640 , 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0]]]] 641 142: [[141, [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1], [0, 0, 1, 642 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 643 0, -1, 0, 0, -1], [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0], [0, 644 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, -1, 645 0, -1, 0, 0, 0, 0, 0]]]] 646 143: [[142, [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0], [0, 0, 1, 0 647 , 0, 0, 0, -2, -1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 648 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 1, 0, 1, 0, 0]]]] 649 144: [[127, [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0]]], [103, [[0, 650 1, 0, -t, 0, 0, 0, 0, 0, t - 1, 0, t, 0, 0, 0, 0], [0, 0, 1, 0, -t, 0, -t, 651 0, t - 1, 0, 0, 0, t - 1, 0, 0, 0]]]] 652 145: [[99, [[0, 1, 0, 0, t, -t, 0, 0, 0, t, 0, -t - 1, 0, 0, 0, 0]]], [57, [ 653 [0, 1, 0, 0, t, t, 0, -t - 1, 0, -t, 0, 0, 0, -t + 1, 0, 0]]]] 654 147: [[92, [[0, 1, 0, -t, -t^3, 0, 0, -t^5, 0, t^2, 0, 0, t^4, t^5 + t^3 - t 655 ^2 + t - 1, 0, 0]]]] 656 148: [[105, [[0, 1, 0, -t, 0, 0, 0, -1, 0, 0, 0, t, 0, 0, 0, 0]]], [63, [[0, 657 1, -t, 0, t - 1, -t + 1, 0, 0, 1, -t, -1, 0, 0, 2*t - 2, 0, 0]]], [127, [[0 658 , 1, -t, 0, t^2, t^4 + t^3 - 1, 0, 0, -t^3, -t^4 + t, -t^5 - t^4 + t, 0, 0, 659 -t^2, 0, 0]]]] 660 [1, 0, 0] [2, 0, 0] [3, 0, 0] [4, 0, 0] [5, 0, 0] [6, 0, 0] [7, 0, 0] [8, 0, 661 0] [9, 0, 0] [10, 0, 0] [11, 0, 0] [12, 0, 0] [13, 0, 0] [14, 0, 0] [15, 0, 662 0] [16, 0, 0] [17, 0, 0] [18, 0, 0] [19, 0, 0] [20, 0, 0] [21, 0, 0] [22, 0 663 , 0] [23, 1, 1] [24, 0, 0] [25, 0, 0] [26, 0, 0] [27, 0, 0] [28, 0, 0] [29, 664 0, 0] [30, 0, 0] [31, 1, 1] [32, 0, 0] [33, 0, 0] [34, 0, 0] [35, 0, 0] [36, 665 0, 0] [37, 0, 0] [38, 0, 0] [39, 1, 1] [40, 0, 0] [41, 0, 0] [42, 0, 0] [43 666 , 0, 0] [44, 1, 1] [45, 0, 0] [46, 2, 0] [47, 2, 2] [48, 0, 0] [49, 0, 0] [5 667 0, 0, 0] [51, 0, 0] [52, 2, 2] [53, 0, 0] [54, 0, 0] [55, 1, 1] [56, 1, 1] [ 668 57, 2, 2] [58, 0, 0] [59, 1, 1] [60, 0, 0] [61, 0, 0] [62, 2, 0] [63, 1, 1] 669 [64, 0, 0] [65, 0, 0] [66, 0, 0] [67, 0, 0] [68, 3, 3] [69, 2, 0] [70, 0, 0] 670 [71, 3, 3] [72, 2, 2] [73, 0, 0] [74, 0, 0] [75, 0, 0] [76, 1, 1] [77, 4, 4 671 ] [78, 2, 0] [79, 2, 2] [80, 1, 1] [81, 0, 0] [82, 0, 0] [83, 1, 1] [84, 2, 672 2] [85, 0, 0] [86, 0, 0] [87, 2, 2] [88, 6, 4] [89, 0, 0] [90, 0, 0] [91, 0, 673 0] [92, 3, 0] [93, 6, 4] [94, 4, 0] [95, 3, 3] [96, 0, 0] [97, 0, 0] [98, 0 674 , 0] [99, 2, 2] [100, 4, 4] [101, 0, 0] [102, 0, 0] [103, 2, 2] [104, 6, 2] 675 [105, 0, 0] [106, 0, 0] [107, 1, 1] [108, 1, 1] [109, 0, 0] [110, 2, 0] [111 676 , 7, 7] [112, 4, 2] [113, 0, 0] [114, 4, 0] [115, 2, 0] [116, 8, 8] [117, 4, 677 2] [118, 2, 0] [119, 4, 4] [120, 2, 2] [121, 0, 0] [122, 0, 0] [123, 0, 0] 678 [124, 7, 4] [125, 0, 0] [126, 2, 0] [127, 2, 2] [128, 1, 1] [129, 6, 6] [130 679 , 0, 0] [131, 2, 2] [132, 2, 0] [133, 6, 6] [134, 0, 0] [135, 2, 2] [136, 13 680 , 7] [137, 0, 0] [138, 4, 0] [139, 1, 1] [140, 6, 6] [141, 4, 0] [142, 6, 0] 681 [143, 4, 4] [144, 5, 1] [145, 4, 4] [146, 0, 0] [147, 6, 6] [148, 10, 10] [ 682 149, 0, 0] [150, 0, 0] 683 [[22, Mod(5, 23), 1, 0], [2, Mod(22, 23), 2, 1]] 684 [[2, Mod(22, 23), 1, 1]] 685 [[2, Mod(22, 23), 1, 1]] 686 [] 687 [[2, Mod(22, 23), 1, 0], [22, Mod(5, 23), 1, 0]] 688 [[2, Mod(45, 46), 2, -1]] 689 [[0, 0], [0, 0], [0, 0], [1, 1]] 690 [[0, 0], [0, 0], [0, 0], [1, 1]] 691 [[0, 0], [0, 0], [0, 0], [0, 0]] 692 98 693 193 694 95 695 127 696 320 697 [[1, Mod(1, 96), 2, 0], [2, Mod(95, 96), 4, 0], [2, Mod(49, 96), 2, 0], [2, 698 Mod(47, 96), 2, 0], [8, Mod(37, 96), 8, 0], [8, Mod(59, 96), 14, 0]] 699 [[1, Mod(1, 96), 9, 0], [2, Mod(95, 96), 8, 0], [2, Mod(49, 96), 8, 0], [2, 700 Mod(47, 96), 8, 0], [4, Mod(25, 96), 12, 0], [4, Mod(71, 96), 12, 0], [8, Mo 701 d(37, 96), 14, 0], [8, Mod(59, 96), 14, 0]] 702 [[1, Mod(1, 96), 7, 0], [2, Mod(95, 96), 4, 0], [2, Mod(49, 96), 6, 0], [2, 703 Mod(47, 96), 6, 0], [4, Mod(25, 96), 12, 0], [4, Mod(71, 96), 12, 0], [8, Mo 704 d(37, 96), 6, 0]] 705 [[1, Mod(1, 96), 15, 0], [2, Mod(95, 96), 16, 0], [2, Mod(49, 96), 16, 0], [ 706 2, Mod(47, 96), 16, 0], [4, Mod(25, 96), 8, 0], [4, Mod(71, 96), 8, 0], [8, 707 Mod(37, 96), 4, 0], [8, Mod(59, 96), 4, 0]] 708 [[1, Mod(1, 96), 24, 0], [2, Mod(95, 96), 24, 0], [2, Mod(49, 96), 24, 0], [ 709 2, Mod(47, 96), 24, 0], [4, Mod(25, 96), 20, 0], [4, Mod(71, 96), 20, 0], [8 710 , Mod(37, 96), 18, 0], [8, Mod(59, 96), 18, 0]] 711 [[2, 0], [0, 0], [0, 0], [4, 0], [8, 0], [0, 0], [0, 0], [14, 0], [0, 0], [0 712 , 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 0], [2, 0]] 713 [[9, 0], [0, 0], [0, 0], [8, 0], [14, 0], [0, 0], [0, 0], [14, 0], [12, 0], 714 [0, 0], [0, 0], [12, 0], [8, 0], [0, 0], [0, 0], [8, 0]] 715 [[7, 0], [0, 0], [0, 0], [4, 0], [6, 0], [0, 0], [0, 0], [0, 0], [12, 0], [0 716 , 0], [0, 0], [12, 0], [6, 0], [0, 0], [0, 0], [6, 0]] 717 [[15, 0], [0, 0], [0, 0], [16, 0], [4, 0], [0, 0], [0, 0], [4, 0], [8, 0], [ 718 0, 0], [0, 0], [8, 0], [16, 0], [0, 0], [0, 0], [16, 0]] 719 [[24, 0], [0, 0], [0, 0], [24, 0], [18, 0], [0, 0], [0, 0], [18, 0], [20, 0] 720 , [0, 0], [0, 0], [20, 0], [24, 0], [0, 0], [0, 0], [24, 0]] 721 10 722 2 723 0 724 [1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0] 725 [1/2 - 1/2*I, 0, 1/2 - 1/2*I, 1, 1.2548652488804080851212455162477386227 + 0 726 .13774935502057657907313538946599934252*I] 727 [0, 2, 0, 0, Mod(-2*t - 2, t^2 + t + 1), 0, 0, 0, 0, Mod(2*t, t^2 + t + 1), 728 0, 0, 0, 0, 0, 0] 729 [196, 1/2, Mod(2, 7), y, t^2 + t + 1] 730 [0, 2, 0, 0, Mod(4*t, t^2 + 1), 0, 0, 0, 0, Mod(-6*t, t^2 + 1), 0, 0, 0, 0, 731 0, 0] 732 [100, 3/2, Mod(7, 20), y, t^2 + 1] 733 [1, -264, -135432, -5196576, -69341448, -515625264, -2665843488, -1065335251 734 2, -35502821640, -102284205672, -264515760432, -622498190688, -1364917062432 735 , -2799587834736, -5465169838656, -10149567696576] 736 [0, 1, -24, 252, -1472, 4830, -6048, -16744, 84480, -113643, -115920, 534612 737 , -370944, -577738, 401856, 1217160] 738 [1, 12, 1, 1, t - 1] 739 [1, -24, 252, -1472, 4830, -6048, -16744, 84480, -113643, -115920, 534612, - 740 370944, -577738, 401856, 1217160, 987136] 741 [1/1728, 0, -1/20736, 0, 1/165888, 0, 1/497664, 0, -11/3981312, 0, 7/1592524 742 8] 743 [0.0017853698506421519043430549603422623106, 0, -0.0171012292073417293156314 744 59010992410421, 0, 0.040951184469824320600328376773822139547, 0, 0.104600637 745 48004752177296678887319501733, 0, -0.59041770925463104960248994945766228175, 746 0, 0.23992339736027093580525099155844404883] 747 1 748 [1728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 749 [0, 1728, -41472, 435456, -2543616, 8346240, -10450944, -28933632, 145981440 750 , -196375104, -200309760, 923809536, -640991232, -998331264, 694407168, 2103 751 252480] 752 [0, -504, -33264, -368928, -2130912, -7877520, -24349248] 753 [0, -504, -8316, -40992, -133182, -1575504/5, -676368] 754 [-1/2, -240, -30960, -525120, -3963120, -18750240, -67740480] 755 [Mod(21/19*t^5 - 4/19*t^4 - 68/19*t^3 + 24/19*t^2 - 29/19*t - 37/19, t^6 + t 756 ^3 + 1), Mod(-9/19*t^5 + 18/19*t^4 + 40/19*t^3 + 6/19*t^2 + 7/19*t - 14/19, 757 t^6 + t^3 + 1), Mod(-21/19*t^5 - 34/19*t^4 + 106/19*t^3 - 24/19*t^2 + 67/19* 758 t + 75/19, t^6 + t^3 + 1), Mod(-27/19*t^5 + 73/19*t^4 + 101/19*t^3 - 39/19*t 759 ^2 + 59/19*t + 91/19, t^6 + t^3 + 1), Mod(-37/19*t^5 - 40/19*t^4 - 129/19*t^ 760 3 - 140/19*t^2 + 14/19*t + 10/19, t^6 + t^3 + 1), Mod(37/19*t^5 - 188/19*t^4 761 + 148/19*t^3 - 69/19*t^2 - 261/19*t + 104/19, t^6 + t^3 + 1), Mod(13/19*t^5 762 - 7/19*t^4 - 157/19*t^3 + 251/19*t^2 + 11/19*t + 16/19, t^6 + t^3 + 1)] 763 [0, -8, 0, 0, 448, -960, 0, 0, 1920, -72, 0, 0, -11520, 10560, 0, 0] 764 [0] 765 [1, 2, 0, 0, 242, 480, 0, 0, 2640, 4322, 0, 0, 11040, 13920, 0, 0] 766 [1] 767 [0, -1, 24, -252, 1472, -4830, 6048, 16744, -84480, 113643, 115920] 768 [[1, 1], 0.16568457302248264542066459293908431501] 769 [y, y^2 + Mod(-t, t^2 + 1)*y + 32] 770 [t^2 + 1, [1, I, -1, -I]~] 771 [0, 1, -4 - 4*I, -23 + 23*I, 32*I] 772 [t^2 + 1, [1, I, -1, -I]~] 773 2 774 [0, 1, 4 + 4*I, 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((-6*t - 42)*y 963 + (-3012*t - 2484))*x^5 + ((-25*t + 165)*y + (-2595*t - 1355))*x^4 + ((65*t 964 - 15)*y + (2115*t + 325))*x^3 + ((190*t - 510)*y + (-450*t - 1210))*x^2 + ( 965 (-260*t + 300)*y + (420*t + 18020))*x + ((-168*t + 264)*y + (1944*t + 7368)) 966 , ((198*t - 204)*y + (-1434*t - 23148))*x^5 + ((-240*t + 270)*y + (1920*t - 967 12510))*x^4 + ((-270*t + 210)*y + (1410*t + 3270))*x^3 + ((270*t - 210)*y + 968 (-1410*t - 3270))*x^2 + ((240*t - 270)*y + (-1920*t + 12510))*x + ((-198*t + 969 204)*y + (1434*t + 23148)), ((-12*t + 196)*y + (-164*t - 1428))*x^4 + (-250 970 *y + (2750*t + 4500))*x^2 + (-3750*t - 3750), ((-168*t + 264)*y + (1944*t + 971 7368))*x^5 + ((260*t - 300)*y + (-420*t - 18020))*x^4 + ((190*t - 510)*y + ( 972 -450*t - 1210))*x^3 + ((-65*t + 15)*y + (-2115*t - 325))*x^2 + ((-25*t + 165 973 )*y + (-2595*t - 1355))*x + ((6*t + 42)*y + (3012*t + 2484)), ((-192*t - 144 974 )*y + (-21984*t + 2112))*x^5 + ((-280*t - 380)*y + (7900*t - 2480))*x^4 + (( 975 50*t - 80)*y + (2440*t - 1790))*x^3 + ((160*t + 350)*y + (830*t + 380))*x^2 976 + ((10*t + 140)*y + (4610*t + 4400))*x + ((-12*t - 54)*y + (-1164*t - 678)), 977 ((192*t + 144)*y + (21984*t - 2112))*x^5 + ((-280*t - 380)*y + (7900*t - 24 978 80))*x^4 + ((-50*t + 80)*y + (-2440*t + 1790))*x^3 + ((160*t + 350)*y + (830 979 *t + 380))*x^2 + ((-10*t - 140)*y + (-4610*t - 4400))*x + ((-12*t - 54)*y + 980 (-1164*t - 678)), ((168*t - 264)*y + (-1944*t - 7368))*x^5 + ((260*t - 300)* 981 y + (-420*t - 18020))*x^4 + ((-190*t + 510)*y + (450*t + 1210))*x^3 + ((-65* 982 t + 15)*y + (-2115*t - 325))*x^2 + ((25*t - 165)*y + (2595*t + 1355))*x + (( 983 6*t + 42)*y + (3012*t + 2484)), (-3750*t - 3750)*x^5 + (-250*y + (2750*t + 4 984 500))*x^3 + ((-12*t + 196)*y + (-164*t - 1428))*x, (-3750*t - 26250)*x^5 + ( 985 -250*y + (2750*t + 4500))*x^3 + ((144*t + 58)*y + (-1112*t - 234))*x, 30000* 986 x^5 + ((-250*t + 250)*y + (1750*t - 7250))*x^3 + ((52*t - 46)*y + (-316*t + 987 398))*x]] 988 Mod(-904583688/27200667365, y^2 + Mod(-t, t^2 + 1)*y + 32)*y^2 + Mod(-485238 989 4244/5440133473, y^2 + Mod(-t, t^2 + 1)*y + 32) 990 0.0011925695879998878380848926233233473256*x^3 - 0.0034461762994896503999275 991 399407078201462*I*x^2 - 0.0029814239699997195952122315583083683139*x 992 (0.0011925695879998878380848926233233473256*x^4 + 0.001788854381999831757127 993 3389349850209884*x^3 + 0.0011925695879998878380848926233233473255*x^2 + 0.00 994 17888543819998317571273389349850209884*x + 0.0011925695879998878380848926233 995 233473256)/x 996 (0.0011925695879998878380848926233233473256*x^4 + 0.001788854381999831757127 997 3389349850209884*x^3 + 0.0017888543819998317571273389349850209884*x - 0.0011 998 925695879998878380848926233233473256)/x 999 (0.0011925695879998878380848926233233473256*x^4 - 0.001788854381999831757127 1000 3389349850209884*x^3 - 0.0017888543819998317571273389349850209884*x - 0.0011 1001 925695879998878380848926233233473256)/x 1002 (0.0011925695879998878380848926233233473256*x^4 - 0.001788854381999831757127 1003 3389349850209884*x^3 + 0.0011925695879998878380848926233233473255*x^2 - 0.00 1004 17888543819998317571273389349850209884*x + 0.0011925695879998878380848926233 1005 233473256)/x 1006 (-0.0029814239699997195952122315583083683139*x^2 + 0.00344617629948965039992 1007 75399407078201462*I*x + 0.0011925695879998878380848926233233473256)/x 1008 (-0.0029814239699997195952122315583083683139*x^2 + 0.00344617629948965039992 1009 75399407078201462*I*x + 0.0011925695879998878380848926233233473256)/x 1010 (0.13416407864998738178455042012387657413 - 0.086154407487241259998188498517 1011 695503654*I)*x^2 + (-0.089442719099991587856366946749251049416 + 0.034461762 1012 994896503999275399407078201462*I)*x + 0.017888543819998317571273389349850209 1013 883 1014 -0.062500000000000000000000000000000000000*I*x^2 - 0.00390625000000000000000 1015 00000000000000000*I 1016 (0.029076134702187599205839917739040862356*x^3 + (-0.02180710102664069940437 1017 9938304280646767 - 0.020833333333333333333333333333333333302*I)*x^2 + (0.005 1018 4517752566601748510949845760701616916 + 0.0104166666666666666666666666666666 1019 66659*I)*x + (-0.00045431460472168123759124871467251347431 - 0.0039062500000 1020 000000000000000000000000000*I))/(-4*x + 1) 1021 -10.687500000000000000000000000000000000*I*x^2 + 8.0000000000000000000000000 1022 000000000000*I*x - 2.0000000000000000000000000000000000000*I 1023 0.023437500000000000000000000000000000000*I*x^2 + 0.031250000000000000000000 1024 000000000000000*I*x + 0.093750000000000000000000000000000000000*I 1025 [[1], [1, 1]] 1026 [[0.70710678118654752440084436210484903928 + 0.70710678118654752440084436210 1027 484903928*I], [-0.70710678118654752440084436210484903928 - 0.707106781186547 1028 52440084436210484903928*I, -0.70710678118654752440084436210484903928 - 0.707 1029 10678118654752440084436210484903928*I]] 1030 [[0.99595931395311210936063384855913482217 - 0.08980559531591707448838903035 1031 9505357518*I], [0.53927595283868673281600574405026404174 + 0.842129115213294 1032 66664554619540652632773*I, -0.85895466516104552261001111734173629157 + 0.512 1033 05164114381683048538165804971399484*I]] 1034 [[-0.76775173011852704509198454449006172342 - 0.6407474392457674209160837770 1035 1764443336*I], [-0.21414952481887583992521740447795630386 + 0.97680089118502 1036 020368501019184890743540*I, -0.96944785623768905552448638076096150650 - 0.24 1037 529748069670216936666745500978951116*I]] 1038 [10, 7, Mod(2, 5), 0, t^2 + 1] 1039 3 1040 [0, 3, 4*t + 4, 32*t - 32, 96*t, 155*t + 90, 112, -348*t - 348, 128*t - 128, 1041 -2177*t] 1042 2 1043 [0, 1, -4*t - 4, 23*t - 23, 32*t, 100*t - 75, 184, -247*t - 247, -128*t + 12 1044 8, -329*t] 1045 [0, 1, 4*t + 4, (5*t + 5)*y + (2*t - 2), 32*t, (-5*t - 15)*y + (35*t + 80), 1046 40*t*y - 16, (-55*t + 55)*y + (-78*t - 78), 128*t - 128, -90*y - 879*t] 1047 [0, 1, -2, -1, 2, 1, 2, -2, 0, -2, -2] 1048 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 1049 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1] 1050 [-1/12, -3/2, 16/3, -1/12, -27/4, 1/6, 4/3]~ 1051 [0, 0, -2399/5121840000, -479/13111910400000, 1/307310400000]~ 1052 [1, 0, 0, 0, 0, 0] 1053 8 1054 [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~ 1055 12 1056 x^12 + Mod(-4*t - 4, t^2 + t + 1)*x^11 + Mod(-4*t, t^2 + t + 1)*x^10 + Mod(- 1057 40, t^2 + t + 1)*x^9 + Mod(27*t + 27, t^2 + t + 1)*x^8 + Mod(150*t, t^2 + t 1058 + 1)*x^7 + Mod(216, t^2 + t + 1)*x^6 + Mod(270*t + 270, t^2 + t + 1)*x^5 + M 1059 od(-675*t, t^2 + t + 1)*x^4 + Mod(54, t^2 + t + 1)*x^3 + Mod(-972*t - 972, t 1060 ^2 + t + 1)*x^2 + Mod(648*t, t^2 + t + 1)*x 1061 0 1062 [] 1063 [-24] 1064 [14] 1065 [14] 1066 [[], 1] 1067 [-12] 1068 [[33, 2, 1, y, t - 1], [0, 1, 1, -1, -1, -2, -1, 4, -3, 1, -2]] 1069 [[38, 2, 1, y, t - 1], [0, 1, 1, -1, 1, -4, -1, 3, 1, -2, -4]] 1070 [[39, 2, 1, y, t - 1], [0, 1, 1, -1, -1, 2, -1, -4, -3, 1, 2]] 1071 [[34, 2, 1, y, t - 1], [0, 1, 1, -2, 1, 0, -2, -4, 1, 1, 0]] 1072 [[38, 2, 1, y, t - 1], [0, 1, -1, 1, 1, 0, -1, -1, -1, -2, 0]] 1073 [[11, 3, -11, y, t + 1], [0, 1, 0, -5, 4, -1, 0, 0, 0, 16, 0]] 1074 [[12, 3, -3, y, t + 1], [0, 1, 0, -3, 0, 0, 0, 2, 0, 9, 0]] 1075 [[16, 3, -4, y, t + 1], [0, 1, 0, 0, 0, -6, 0, 0, 0, 9, 0]] 1076 [[38, 2, 1], [0, 1, 2, 3, 4, -5, -8, 1, -7, -5, 7]] 1077 [[40, 2, 8], [0, 1, 2, 3, 4, -4, -6, -1, -10, -1, 2]] 1078 [[40, 2, 40], [0, 1, 2, 3, 4, -8, -6, -7, 6, -1, -2]] 1079 3 1080 [0, 1, 2, 3, 4, 5] 1081 x^12 + 2*x^11 + 4*x^10 + 4*x^9 + 4*x^8 + 2*x^7 - 8*x^5 - 17*x^4 - 16*x^3 - 8 1082 *x^2 + 16*x + 16 1083 [2, 40, 20, 10, 8, 10, 4, 2] 1084 [[0, 0], [0, 0], [0, 0], [1, 1], [0, 0], [1, 1], [0, 0], [3, 3]] 1085 [[3, 3]] 1086 [[5, 5]] 1087 [[2, 2]] 1088 [[6, 6]] 1089 [[4, 4]] 1090 [[0, -1; 1, 0], [1, 0; 1, 1], [0, -1; 1, 2], [0, -1; 1, 3], [1, 0; 2, 1], [1 1091 , 0; 4, 1]] 1092 [[-1, 1; -4, 3], 5] 1093 [[0, -1; 1, 0], [1, 0; 1, 1], [0, -1; 1, 2], [0, -1; 1, 3], [0, -1; 1, 4], [ 1094 0, -1; 1, 5], [0, -1; 1, 6], [0, -1; 1, 7], [0, -1; 1, 8], [0, -1; 1, 9], [0 1095 , -1; 1, 10], [0, -1; 1, 11], [0, -1; 1, 12], [0, -1; 1, 13], [0, -1; 1, 14] 1096 , [0, -1; 1, 15], [0, -1; 1, 16], [0, -1; 1, 17], [0, -1; 1, 18], [0, -1; 1, 1097 19], [0, -1; 1, 20], [0, -1; 1, 21], [0, -1; 1, 22], [1, 0; 23, 1]] 1098 [0, 1, t^3 + t - 1, 0, -t^2 - 1, 0, 0, -t, -t^3 + t^2 - t + 1, -t^3, 0] 1099 [10] 1100 1 1101 [0, 1, 0, 0, t - 1, t - 1, 0, 0, 0, 0, 0] 1102 [6] 1103 6 1104 10 1105 3 1106 [[0, 0, 0; 0, 0, 1; 0, -2, 0], [0, 0, 0; 0, 0, -1; 0, 2, 0]] 1107 1.4557628922687093224624220035988692874 1108 10000.000000000000000000001237896015010 1109 1.9689399767614335374830916735439946588 1110 [-1, -60.000000000000000000000000000000000000, 240.0000000000000000000000000 1111 0000000000*x^-1 + O(x^0)] 1112 [-1, -378.00000000000000000000000000000000000, -504.000000000000000000000000 1113 00000000001*x^-1 + O(x^0)] 1114 0.0050835121083932868604942901374387473226 1115 [1620/691, 1, 9/14, 9/14, 1, 1620/691] 1116 0.0074154209298961305890064277459002287248 1117 [1, 25/48, 5/12, 25/48, 1] 1118 [270000/43867, 1, 75/364, 15/308, 0, -15/308, -75/364, -1, -270000/43867] 1119 -0.43965042620884602281482782769927016562 1120 [1, 11/60, 1/24, 1/120, -1/120, -1/24, -11/60, -1] 1121 1.3407636701883001534150257403529284807 - 0.09169347814648177113546620833059 1122 8109326*I 1123 3.1415926535897932384626433832795028842*x^-1 + O(x^0) 1124 6.0268120396919401235462601927282855839 1125 -125 1126 0.037077104649480652945032138729501143624 1127 x^9 - 25/4*x^7 + 21/2*x^5 - 25/4*x^3 + x 1128 -0.0059589649895782378538355644158109773247*I 1129 -x^10 + 691/36*x^8 - 691/12*x^6 + 691/12*x^4 - 691/36*x^2 + 1 1130 1.0353620568043209223478168122251645932 E-6 1131 [[4*x^9 - 25*x^7 + 42*x^5 - 25*x^3 + 4*x], [-36*x^10 + 691*x^8 - 2073*x^6 + 1132 2073*x^4 - 691*x^2 + 36]] 1133 4096/691 1134 -691/4096 1135 0.0039083456561245989852473854813821138618 1136 [[0, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 0], [2, 0, 10, 5, -5, -10, -10, -5, 5, 1137 10, 0, -2]] 1138 24/5 1139 0.00036417018656710457295477514743042437729 1140 0.00049190307191092718531081143004073999661 1141 0.11655892584877731533791261543544162961*x + 0.03444188571581440474103881572 1142 3936163594 1143 0.0010890395470223995019083365452957049165 1144 (-1.3193074979773231773661743756435007224 - 0.047852089878877215068678875180 1145 019315601*I)*x + (0.55369913164712442515829589611646024395 + 0.1378560105941 1146 2197357057720849196966097*I) 1147 2.7088661559067092169467726322243151834*x^4 + 10.836695978514012215743285363 1148 808371991*x^3 + 25.296899951502000988317286862612207702*x^2 + 41.46298040535 1149 0911775127337547706905296*x + 36.867636355501616095737218901200295353 1150 0.68152665510891372423521870628322971562 1151 (-23183.009401346887106321839878457037987 + 10141.03198768851019292105517715 1152 0961372*I)*x^4 + (36768.014815457253142184985512097903984 - 15843.6719474121 1153 59422532108270646842468*I)*x^3 + (-21653.185479189712080795697797411393243 + 1154 9383.4655370867720981173021992677296843*I)*x^2 + (5567.82157171174936497454 1155 45772875483392 - 2529.1579539358590353355113445052491948*I)*x + (-519.290436 1156 33066550788943723994543165137 + 267.97049309982710940044149283381067824*I) 1157 0 1158 -7.5483533093124615800482309272746852303 E-5*I*x^4 - 0.000325960230614461968 1159 18766920427560516720*x^3 + 0.00053071372195845519650854381590103954823*I*x^2 1160 + 0.00038639246231107851592899900012773026572*x - 0.00010622771569710146301 1161 261452001204110433*I 1162 -159.28538078371628604726626677227374955*I*x^4 - 37.413371571061889095904737 1163 694744717500*x^3 + 4.0605244955720177153253400611368714530*I*x^2 + 0.2512588 1164 6591932202962812257047290475386*x - 0.00775320874361027409750103740193487763 1165 58*I 1166 -1.0529510950884198373348191584869623207 E-9*I*x^4 - 4.379386751919803419760 1167 5690442523726760 E-9*x^3 + 6.8404573572594165822427167063489824371 E-9*I*x^2 1168 + 4.7561506807037037564779077168765701622 E-9*x - 1.24219231762730610575003 1169 87331529713560 E-9*I 1170 [x^8 - 3*x^6 + 3*x^4 - x^2, 4*x^9 - 25*x^7 + 42*x^5 - 25*x^3 + 4*x, x^10 - 1 1171 ] 1172 [x^8 - 3*x^6 + 3*x^4 - x^2, x^10 - 1] 1173 [4*x^9 - 25*x^7 + 42*x^5 - 25*x^3 + 4*x] 1174 [] 1175 [] 1176 [0.027225824587703356565506853506344987171 + 0.00514822234043271905508741860 1177 26406789728*I, 0.027225198325372166661822373393404529522 + 0.005147912007675 1178 1226908071569776979202339*I, 0.027225932797583197568370599484048729606 + 0.0 1179 051482759611568609455954291851306519100*I, 0.0272255959592292808469822068846 1180 79062877 + 0.0051481090481140853554894307306409710468*I] 1181 1.5962359833107661839072302449298089226 E-51 1182 0.00013137888540468962216778728275879264699 1183 [0, 1, -y, 2*y - 1, y - 1, -2*y] 1184 [[[0, 0, 0, y + 1, 1, -y, 1, y + 1, y + 1, y, y + 1, 0, 0, -y - 1, -y, -y - 1185 1, -y - 1, -1, y, -1, -y - 1, 0, 0, 0], [4*y + 6, 0, 22*y + 22, 11, -11*y, 1 1186 1*y + 11, 11*y, 22*y + 11, -11, -11*y - 11, -22*y - 11, -22*y - 22, -22*y - 1187 22, -22*y - 11, -11*y - 11, -11, 22*y + 11, 11*y, 11*y + 11, -11*y, 11, 22*y 1188 + 22, 0, -4*y - 6]], [[0, 0, 0, 1, y + 1, y, y + 1, 1, 1, -y, 1, 0, 0, -1, 1189 y, -1, -1, -y - 1, -y, -y - 1, -1, 0, 0, 0], [2*y + 6, 0, 22, 11*y + 11, 11* 1190 y, 11, -11*y, -11*y + 11, -11*y - 11, -11, 11*y - 11, -22, -22, 11*y - 11, - 1191 11, -11*y - 11, -11*y + 11, -11*y, 11, 11*y, 11*y + 11, 22, 0, -2*y - 6]]] 1192 [-192/55*y + 336/55, -48/55*y + 144/55] 1193 [[[x, x^2 + 2*x + 1, Mod(t, t^2 + t + 1)*x^2 + Mod(2*t + 1, t^2 + t + 1)*x + 1194 2, Mod(-2*t, t^2 + t + 1)*x^2 + Mod(-t - 2, t^2 + t + 1)*x + Mod(t + 1, t^2 1195 + t + 1), Mod(2*t, t^2 + t + 1)*x^2 + Mod(-t - 2, t^2 + t + 1)*x + Mod(-t - 1196 1, t^2 + t + 1), Mod(-t, t^2 + t + 1)*x^2 + Mod(2*t + 1, t^2 + t + 1)*x - 2 1197 , -x^2 + 2*x - 1, x], [Mod(47*t - 528, t^2 + t + 1)*x^2 + 3871, -3871*x^2 + 1198 3871, Mod(-5293*t - 3792, t^2 + t + 1)*x^2 + Mod(2054*t - 3555, t^2 + t + 1) 1199 *x + Mod(2054*t + 316, t^2 + t + 1), Mod(1738*t + 2054, t^2 + t + 1)*x^2 + M 1200 od(-5609*t - 2054, t^2 + t + 1)*x + Mod(-1501*t - 5293, t^2 + t + 1), Mod(17 1201 38*t + 2054, t^2 + t + 1)*x^2 + Mod(5609*t + 2054, t^2 + t + 1)*x + Mod(-150 1202 1*t - 5293, t^2 + t + 1), Mod(-5293*t - 3792, t^2 + t + 1)*x^2 + Mod(-2054*t 1203 + 3555, t^2 + t + 1)*x + Mod(2054*t + 316, t^2 + t + 1), -3871*x^2 + 3871, 1204 -3871*x^2 + Mod(-47*t + 528, t^2 + t + 1)]], [0.0600760389692829045137557605 1205 79766793352 + 0.0076557040727195254011353573267975581651*I, 3.80684584829863 1206 11431726029948424993484 E-6 - 2.3063284341262122716050386345503232003 E-5*I, 1207 3008/305809]] 1208 [0, 1/7] 1209 0.012348139466200861797970297067148459977 1210 [0, 1/2, 1/3, 1/4, 1/6, 1/12] 1211 [0, 1/2, 1/3, 1/4, 1/6, 1/12] 1212 [12, 3, 4, 3, 1, 1] 1213 [1, 0, 1, 1, 0, 1] 1214 [1, 0, 1, 1, 0, 1] 1215 [0, 1/4, 0, 0, 1/4, 0] 1216 [1/12, 1/6, 1/2, 2/3, 1/2, 2] 1217 [1/12, 1/6, 1/4, 2/3, 1/2, 1] 1218 1 1219 [3, 7, -3, y, t + 1, 3, "F_7(-3)"] 1220 [15, 7, -15, y, t + 1, 3, "F_7(-3, 5)"] 1221 [1, 4, 1, y, t - 1, 3, "E_4"] 1222 [11, 1, -11, y, t + 1, 3, "LIN([F_1(1, -11)], [2]~)", "F_1(1, -11)"] 1223 [4, 1/2, 1, y, t - 1, 3, "THETA(1)"] 1224 [4, 1/2, 1, y, t - 1, 1, "T_4(9)(THETA(1))", "THETA(1)"] 1225 [1, 12, 1, y, t - 1, 0, "DELTA"] 1226 [11, 2, 1, y, t - 1, 0, "ETAQUO([Vecsmall([1, 11]), Vecsmall([2, 2])], 1)"] 1227 [35, 2, 1, y, t - 1, 0, "ELL([0, 1, 1, 9, 1])"] 1228 [385, 2, 1, y, t - 1, -1, "LIN([ETAQUO([Vecsmall([1, 11]), Vecsmall([2, 2])] 1229 , 1), ELL([0, 1, 1, 9, 1])], [1, 1])", "ETAQUO([Vecsmall([1, 11]), Vecsmall( 1230 [2, 2])], 1)", "ELL([0, 1, 1, 9, 1])"] 1231 [3, 21, -3, y, t + 1, -1, "POW(F_7(-3), 3)", "F_7(-3)"] 1232 [15, 14, 5, y, t + 1, -1, "MUL(F_7(-3), F_7(-3, 5))", "F_7(-3)", "F_7(-3, 5) 1233 "] 1234 [1, 12, 1, y, t - 1, 0, "MULRC_2(E_4, E_4)", "E_4", "E_4"] 1235 [385, 2, 1, y, t - 1, -1, "LIN([ETAQUO([Vecsmall([1, 11]), Vecsmall([2, 2])] 1236 , 1), ELL([0, 1, 1, 9, 1])], [1, -1])", "ETAQUO([Vecsmall([1, 11]), Vecsmall 1237 ([2, 2])], 1)", "ELL([0, 1, 1, 9, 1])"] 1238 [15, 0, 5, y, t + 1, -1, "DIV(F_7(-3, 5), F_7(-3))", "F_7(-3, 5)", "F_7(-3)" 1239 ] 1240 [1, 12, 1, y, t - 1, -1, "SHIFT(DELTA, 1)", "DELTA"] 1241 [1, 6, 1, y, t - 1, -1, "DER^1(E_4)", "E_4"] 1242 [1, 12, 1, y, t - 1, -1, "DERE2^4(E_4)", "E_4"] 1243 [25, 4, 1, y, t - 1, -1, "TWIST(E_4, 5)", "E_4"] 1244 [1, 12, 1, y, t - 1, 0, "T_1(5)(DELTA)", "DELTA"] 1245 [3, 4, 1, y, t - 1, 3, "B(3)(E_4)", "E_4"] 1246 [2, 2, 1, y, t - 1, 3, "LIN([F_2(1), B(2)(F_2(1))], [1, -2])", "F_2(1)", "B( 1247 2)(F_2(1))"] 1248 [3, 2, 1, y, t - 1, 3, "LIN([F_2(1), B(3)(F_2(1))], [1, -3])", "F_2(1)", "B( 1249 3)(F_2(1))"] 1250 [6, 2, 1, y, t - 1, 3, "LIN([F_2(1), B(6)(F_2(1))], [1, -6])", "F_2(1)", "B( 1251 6)(F_2(1))"] 1252 [1, 4, 1, y, t - 1, 3, "F_4(1, 1)"] 1253 [2, 4, 1, y, t - 1, 3, "B(2)(F_4(1, 1))", "F_4(1, 1)"] 1254 [3, 4, 1, y, t - 1, 3, "B(3)(F_4(1, 1))", "F_4(1, 1)"] 1255 [4, 4, 1, y, t - 1, 3, "B(4)(F_4(1, 1))", "F_4(1, 1)"] 1256 [6, 4, 1, y, t - 1, 3, "B(6)(F_4(1, 1))", "F_4(1, 1)"] 1257 [8, 4, 1, y, t - 1, 3, "B(8)(F_4(1, 1))", "F_4(1, 1)"] 1258 [12, 4, 1, y, t - 1, 3, "B(12)(F_4(1, 1))", "F_4(1, 1)"] 1259 [24, 4, 1, y, t - 1, 3, "B(24)(F_4(1, 1))", "F_4(1, 1)"] 1260 [6, 4, 1, y, t - 1, 2, "TR^new([6, 4, 1, y, t - 1])"] 1261 [12, 4, 1, y, t - 1, 2, "B(2)(TR^new([6, 4, 1, y, t - 1]))", "TR^new([6, 4, 1262 1, y, t - 1])"] 1263 [24, 4, 1, y, t - 1, 1, "B(4)(TR^new([6, 4, 1, y, t - 1]))", "TR^new([6, 4, 1264 1, y, t - 1])"] 1265 [8, 4, 1, y, t - 1, 2, "TR^new([8, 4, 1, y, t - 1])"] 1266 [24, 4, 1, y, t - 1, 1, "B(3)(TR^new([8, 4, 1, y, t - 1]))", "TR^new([8, 4, 1267 1, y, t - 1])"] 1268 [12, 4, 1, y, t - 1, 2, "TR^new([12, 4, 1, y, t - 1])"] 1269 [24, 4, 1, y, t - 1, 1, "B(2)(TR^new([12, 4, 1, y, t - 1]))", "TR^new([12, 4 1270 , 1, y, t - 1])"] 1271 [24, 4, 1, y, t - 1, 0, "TR^new([24, 4, 1, y, t - 1])"] 1272 [1, 2, 3, 4, 6, 8, 12, 24, 6, 12, 24, 8, 24, 12, 24, 24] 1273 [23, 1, -23, y, t + 1, 1, "LIN([DIH(-23, [1, 0; 0, 1], [3], [1])], [1]~)", " 1274 DIH(-23, [1, 0; 0, 1], [3], [1])"] 1275 0.035149946790370230814006345508484787440 1276 23 1277 []~ 1278 [[4, 1, -4], 4, [0.25000000000000000000000000000000000000, 1, 1, 0]] 1279 [[4, 3/2, 1], 4, [1, 6, 12, 8]] 1280 [[11, 2, 1], 1, [0, 1, -2, -1, 2, 1]] 1281 -3 1282 [-3, -39] 1283 1284 [1 24] 1285 1286 1287 [ 1 1] 1288 1289 [23 1] 1290 1291 0 1292 1293 [1 -24] 1294 1295 0 1296 1297 [1 480] 1298 1299 [Mod(575, 576), 1] [Mod(593, 900), 1] [Mod(575, 1152), 1] [Mod(1151, 1152), 1300 1] 1301 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1302 2 2 2 1 1 1 1 1 1303 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 4 3 2 3 3 4 5 5 5 5 3 3 4 4 6 6 4 2 6 7 4 4 5 1304 5 5 5 6 6 1 2 2 3 3 4 3 2 3 3 4 5 5 5 5 4 4 4 4 6 6 4 3 6 8 5 5 6 6 6 6 6 6 1305 1 1 1 2 3 3 2 3 3 3 3 4 4 4 4 2 2 4 5 6 4 7 7 6 6 6 6 6 6 2 3 3 4 4 6 4 2 4 1306 4 4 6 6 6 6 4 4 4 4 8 8 4 2 8 8 4 4 6 6 6 6 6 6 2 3 3 5 5 6 5 4 7 7 6 9 9 9 1307 9 8 8 8 8 10 10 8 7 14 12 11 11 12 12 12 12 12 12 1308 1 1 3 3 2 3 4 5 5 6 7 7 7 7 8 8 8 8 6 6 8 9 10 12 13 13 12 12 12 12 12 12 2 1309 3 3 4 4 6 4 2 4 4 4 6 6 6 6 4 4 4 4 8 8 4 2 8 8 4 4 6 6 6 6 6 6 2 4 4 7 7 8 1310 7 6 9 9 10 13 13 13 13 12 12 12 12 14 14 12 11 18 20 17 17 18 18 18 18 18 18 1311 1312 0 2 6 13 22 28 48 64 74 96 1313 2 6 8 14 16 24 24 32 32 48 1314 2 8 14 27 38 52 72 96 106 144 1315 [[[0, 1, 0, 0, -4, 0, -6, 8, 0, 9, 4, 0, 12, -20, 0, -24], [0, 0, 1, 0, -2, 1316 -4, 3, 2, 4, 0, 0, 2, -6, 0, -8, -6], [0, 0, 0, 1, -2, 0, 0, 2, 0, 0, 0, 0, 1317 -2, 0, 0, -6]], [[0, 1, 0, 0, -2, -6, 0, 0, 12, 9, 0, 0, -18, 12, 0, 0], [0, 1318 0, 1, 0, -2, -2, -3, 4, 8, 6, -2, -16, -6, 4, 14, 12], [0, 0, 0, 1, 0, -4, 1319 -2, 4, 8, 4, -8, -12, -8, 8, 24, 8]]] 1320 1321 [ 0 0 0] 1322 1323 [ 1 0 0] 1324 1325 [ 0 1 0] 1326 1327 [ 0 0 1] 1328 1329 [-2 0 0] 1330 1331 [ 0 0 0] 1332 1333 1334 [0 0 0 0] 1335 1336 [1 0 0 0] 1337 1338 [0 1 0 0] 1339 1340 [0 0 1 0] 1341 1342 [0 0 0 1] 1343 1344 [0 0 -1 0] 1345 1346 [0, 1, 0, 0, 0, 0, 0, -3, -2, 1, 0, -6, 0, 0, 6, 12] 1347 [0, 0, 1, 0, 0, 0, 0, -3, -4, 4, 0, 0, 0, 0, -1, 2] 1348 [0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -2, 0, 2, 1, 2, 0] 1349 [0, 0, 0, 0, 1, 0, 0, -1, -3, 2, 0, -2, 0, 0, 2, 4] 1350 [2]~ 1351 [0, 2]~ 1352 [Mod(-1/49*t^11 + 1/49*t^10 + 1/98*t^9 - 5/196*t^8 - 1/196*t^7 - 5/196*t^4 + 1353 5/196*t^3 - 1/196*t^2 - 1/196*t + 1/49, t^12 - t^11 + t^9 - t^8 + t^6 - t^4 1354 + t^3 - t + 1), Mod(-6/49*t^11 + 13/196*t^10 - 13/196*t^8 + 2/49*t^7 + 13/1 1355 96*t^6 - 11/196*t^5 - 11/196*t^4 + 6/49*t^3 - 11/196*t^2 - 13/196*t + 4/49, 1356 t^12 - t^11 + t^9 - t^8 + t^6 - t^4 + t^3 - t + 1), Mod(1/196*t^11 - 5/196*t 1357 ^10 - 1/98*t^9 + 3/98*t^8 - 5/196*t^7 - 1/196*t^6 + 3/196*t^5 + 1/196*t^4 - 1358 1/98*t^3 + 1/49*t^2 + 1/98*t - 1/98, t^12 - t^11 + t^9 - t^8 + t^6 - t^4 + t 1359 ^3 - t + 1), Mod(9/196*t^10 - 15/196*t^9 - 3/49*t^8 - 3/196*t^6 - 3/49*t^5 + 1360 15/196*t^4 + 3/196*t^3 - 15/196*t^2 - 3/196, t^12 - t^11 + t^9 - t^8 + t^6 1361 - t^4 + t^3 - t + 1), Mod(15/196*t^11 - 15/196*t^9 + 9/98*t^8 - 3/49*t^7 - 3 1362 /49*t^6 + 15/196*t^5 - 3/49*t^3 + 3/49*t^2 + 9/196*t - 27/196, t^12 - t^11 + 1363 t^9 - t^8 + t^6 - t^4 + t^3 - t + 1), Mod(3/49*t^11 + 3/98*t^10 - 15/196*t^ 1364 9 + 3/49*t^8 + 3/196*t^7 - 3/98*t^6 - 3/196*t^5 + 3/196*t^4 - 9/196*t^3 - 3/ 1365 98*t^2 + 3/196*t + 3/196, t^12 - t^11 + t^9 - t^8 + t^6 - t^4 + t^3 - t + 1) 1366 ] 1367 1368 [Mod(0, t^2 + t + 1) Mod(0, t^2 + t + 1) Mod(0, t^2 + t + 1) Mod(1, t^2 + t 1369 + 1)] 1370 1371 [Mod(-2, t^2 + t + 1) Mod(-2*t - 2, t^2 + t + 1) Mod(0, t^2 + t + 1) Mod(0, 1372 t^2 + t + 1)] 1373 1374 [Mod(2*t + 4, t^2 + t + 1) Mod(4*t + 2, t^2 + t + 1) Mod(4*t + 4, t^2 + t + 1375 1) Mod(-t + 1, t^2 + t + 1)] 1376 1377 [Mod(-8*t, t^2 + t + 1) Mod(4, t^2 + t + 1) Mod(-4*t + 4, t^2 + t + 1) Mod(- 1378 4*t - 4, t^2 + t + 1)] 1379 1380 [0, 1, 0, 0, 0, -t - 2, 0, 0, -2, 4*t, 0, 0, 2*t + 4, -4*t - 2, 0, 0] 1381 [0, 0, 1, 0, 0, 0, t - 1, 0, -2*t - 2, -2, -t - 2, 0, 4*t + 2, -2*t + 2, -2* 1382 t + 1, 4*t + 4] 1383 [0, 0, 0, 1, 0, -2*t - 2, 0, 3*t + 2, 0, 2*t - 2, -2, -2*t - 1, 4*t + 4, -2* 1384 t, -6*t - 4, t + 2] 1385 [0, 0, 0, 0, 1, t - 1, -t - 2, -2*t + 1, 0, t + 1, 4*t + 2, 1, -t + 1, -t - 1386 2, -t - 3, t] 1387 [4, 1, -4, y, t + 1] 1388 [1, 0, 0, 2, 0, 0, 0, 6, 6, 0, 0, 0, 8, 0, 0, 6] 1389 [0, 1, 0, -1, 1, 2, 4, -3, -3, 5, 2, 4, -4, 0, 8, -3] 1390 [0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1] 1391 2 1392 [1, 12, 1, y, t - 1] 1393 [4, 6, 1, y, t - 1] 1394 [9, 4, 1, y, t - 1] 1395 [16, 3, -4, y, t + 1] 1396 [36, 2, 1, y, t - 1] 1397 [144, 1, -4, y, t + 1] 1398 [576, 1/2, 12, y, t + 1] 1399 [64, 3/2, 1, y, t - 1] 1400 [0, 1, 0, 0, 0, 0, 0, 0, -3, 0]~ 1401 [[0, 64, [1, 0; 0, 1]], [0, -0.031250000000000000000000000000000000000 - 0.0 1402 31250000000000000000000000000000000000*I, 0, 0, 0, 0, 0, 0, 0, 0.09375000000 1403 0000000000000000000000000000 + 0.093750000000000000000000000000000000000*I, 1404 0]] 1405 [Mod(0, t^2 + 1), Mod(-1/32*t - 1/32, t^2 + 1), Mod(0, t^2 + 1), Mod(0, t^2 1406 + 1), Mod(0, t^2 + 1), Mod(0, t^2 + 1), Mod(0, t^2 + 1), Mod(0, t^2 + 1), Mo 1407 d(0, t^2 + 1), Mod(3/32*t + 3/32, t^2 + 1), Mod(0, t^2 + 1)] 1408 [[0, 16, [1, 0; 0, 1]], [0, 0.10393370153781815463484854720223821959 + 0.069 1409 446279127450278092853851743566609297*I, 0, 0, 0, 0, 0, 0, 0, -0.208338837382 1410 35083427856155523069982789 + 0.31180110461345446390454564160671465878*I, 0]] 1411 [Mod(0, t^16 + 1), Mod(1/8*t^3, t^16 + 1), Mod(0, t^16 + 1), Mod(0, t^16 + 1 1412 ), Mod(0, t^16 + 1), Mod(0, t^16 + 1), Mod(0, t^16 + 1), Mod(0, t^16 + 1), M 1413 od(0, t^16 + 1), Mod(3/8*t^11, t^16 + 1), Mod(0, t^16 + 1)] 1414 0.0018674427317079888144293843310939736875 1415 [Mod(-t, t^2 + 1), Mod(-2*t, t^2 + 1), Mod(0, t^2 + 1)] 1416 [Mod(2*t, t^2 + 1), Mod(0, t^2 + 1), Mod(2*t, t^2 + 1), Mod(0, t^2 + 1)] 1417 [2, 0, 2, 0] 1418 [Mod(1/2*t + 1/2, t^2 + 1), Mod(t + 1, t^2 + 1), Mod(0, t^2 + 1)] 1419 [Mod(-1/2*t + 1/2, t^2 + 1), Mod(-t + 1, t^2 + 1), Mod(0, t^2 + 1)] 1420 [Mod(1/2*t + 1/2, t^2 + 1), Mod(t - 1, t^2 + 1), Mod(0, t^2 + 1)] 1421 [1, 2, 0] 1422 [36, 5/2, 1, y, t - 1] 1423 2 1424 1425 [-1 0 0 2 0 0] 1426 1427 [ 0 0 0 0 1 0] 1428 1429 [9, 4, 1, y, t - 1] 1430 [9, 4, 1, y, t - 1] 1431 1432 [0 -1 0 0 2 0 0 0 0 0 0 0 0 -6 0 0 8 0 0 0 0] 1433 1434 [0 0 0 0 0 1 0 0 -2 0 0 0 0 0 0 0 0 1 0 0 2] 1435 1436 1437 [-3 0 5/2 7/2] 1438 1439 [ 1 -1/2 -7 -7] 1440 1441 [ 1 1/2 0 -3] 1442 1443 [ 0 0 5/2 5/2] 1444 1445 [[1, 1], [2, 1]] 1446 [[2, 4; 0, 0; 0, 0; 5, 7; -14, -14; 0, 0; 0, 0; -5, -5; 0, -6; 0, 0; 0, 0; 1 1447 5, 15; 0, 0; 0, 0], [1, 1; 0, 0; 0, 0; 1, 4; 0, -14; 0, 0; 0, 0; 0, -5; -3, 1448 3; 0, 0; 0, 0; 0, 15; 0, 0; 0, 0]] 1449 [Mat(Mod(1, t^4 - t^2 + 1)), [1; 0], [[1, 1]]] 1450 [12, 12, 12, 12, 12] 1451 4 1452 0.0018371115455019092538663990739211073913 1453 3.7500000000000000000000000000000000004 1454 [4, 1/2, 1, y, t - 1] 1455 [16, 1/2, 1, y, t - 1] 1456 [1, -2]~ 1457 "F_4(-3, -4)" 1458 "F_3(5, -7)" 1459 "DERE2^3(MUL(F_4(-3, -4), F_3(5, -7)))" 1460 "DELTA" 1461 "E_2" 1462 "T_1(3)(E_2)" 1463 ["S_4^new(G_0(37, 1))", "S_4(G_0(37, 1))", "S_4^old(G_0(37, 1))", "E_4(G_0(3 1464 7, 1))", "M_4(G_0(37, 1))"] 1465 ["S_3/2(G_0(16, 1))", "M_3/2(G_0(16, 1))"] 1466 ["F_4(-3, -4)", "F_3(1, -3)"] 1467 1/72 1468 [1/4, 6, 6, 24, 6, 36, 24, 48, 6, 78, 36] 1469 [1/24, 10, 90, 280, 730, 1260, 2520, 3440, 5850, 7570, 11340] 1470 [10]~ 1471 [0, 1, 0, 0, 0, -2, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0] 1472 -125832074732008 1473 -3268080304426/13 1474 [691/32760, 0, -2017/252, 0, -361, 0, -3362, 0, -4130785/252, 0, -278854/5, 1475 0, -152166, 0, -355688, 0] 1476 [-1/12, 9375/2, 14055] 1477 [-1/12, 1702, 0] 1478 [-1/12, 0, 0, 1/3, 1/2, 0, 0, 1, 1, 0, 0, 1, 4/3, 0, 0, 2] 1479 [1/120, -1/12, 0, 0, -7/12, -2/5, 0, 0, -1, -25/12, 0, 0, -2, -2, 0, 0] 1480 [-1/252, 0, 0, -2/9, -1/2, 0, 0, -16/7, -3, 0, 0, -6, -74/9, 0, 0, -16] 1481 [1/240, 1/120, 0, 0, 121/120, 2, 0, 0, 11, 2161/120, 0, 0, 46, 58, 0, 0] 1482 [-1/132, 0, 0, 2/3, 5/2, 0, 0, 32, 57, 0, 0, 2550/11, 1058/3, 0, 0, 992] 1483 [691/32760, -1/252, 0, 0, -2017/252, -134/5, 0, 0, -361, -176905/252, 0, 0, 1484 -3362, -66926/13, 0, 0] 1485 [-1/12, 0, 0, -14/3, -61/2, 0, 0, -1168, -2763, 0, 0, -21726, -115598/3, 0, 1486 0, -165616] 1487 [-43867/14364, 0, 0, 1618/27, 1385/2, 0, 0, 565184/7, 250737, 0, 0, 3749250, 1488 212490322/27, 0, 0, 52548032] 1489 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 1490 [-1/12, 1/2, 1, 4/3, 3/2, 2, 2, 2, 3, 5/2, 2, 4, 10/3, 2, 4, 4] 1491 [-1/12, 1/2, 1, 4/3, 3/2, 2, 2, 2, 3, 5/2, 2, 4, 10/3, 2, 4, 4] 1492 [-1/3, 0, 0, 4/3, 2, 0, 0, 4, 4, 0, 0, 4, 16/3, 0, 0, 8] 1493 [-1/12, 0, 0, 4/3, 5/2, 0, 0, 5, 3, 0, 0, 3, 16/3, 0, 0, 8] 1494 [-1/2, 0, 0, 2, 3, 0, 0, 6, 6, 0, 0, 6, 8, 0, 0, 12] 1495 [-10/3, 0, 0, 40/3, 20, 0, 0, 40, 40, 0, 0, 40, 160/3, 0, 0, 80] 1496 [-1/2, 0, 0, 2, 3, 0, 0, 6, 6, 0, 0, 6, 8, 0, 0, 12] 1497 [1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0] 1498 [4/3, 8/3, 0, 0, 8/3, 0, 0, 0, 0, 8/3, 0, 0, 0, 0, 0, 0] 1499 [0, -4, -8, 0, 0, 0, 16, 0, 0, 28, 16, 0, 0, 0, -32, 0] 1500 4.7568284600108842668699998822419036612 + 4.75682846001088426686999988224190 1501 36612*I 1502 0 1503 0.0061538599016729274239549224845781815123 1504 0 1505 +oo 1506 0 1507 [1, 24, 324, 3200, 25650, 176256, 1073720] 1508 0.0067751374633700320670755869090304807506 1509 [0, 1, 0, 28, 0, 126, 0, 344, 0, 757, 0, 1332, 0, 2198, 0, 3528] 1510 1511 [ "Factors" 50000 13 1000000000] 1512 1513 [ "Divisors" 50000 5 1000000000] 1514 1515 [ "H" 50000 3 200000000] 1516 1517 ["CorediscF" 100000 3 200000000] 1518 1519 [ "Dihedral" 1000 0 0] 1520 1521 *** at top-level: mftobasis(mf0,L[1]) 1522 *** ^------------------- 1523 *** mftobasis: domain error in mftobasis: form does not belong to space 1524 *** at top-level: mfdim([4,1/2],0) 1525 *** ^---------------- 1526 *** mfdim: incorrect type in half-integral weight [new/old spaces] (t_INT). 1527 *** at top-level: mfdim([4,1/2],2) 1528 *** ^---------------- 1529 *** mfdim: incorrect type in half-integral weight [new/old spaces] (t_INT). 1530 *** at top-level: mfdim([4,1/2],5) 1531 *** ^---------------- 1532 *** mfdim: incorrect type in half-integral weight [incorrect space] (t_INT). 1533 *** at top-level: mfeisenstein(2,1.0) 1534 *** ^------------------- 1535 *** mfeisenstein: incorrect type in znchar (t_REAL). 1536 *** at top-level: mfeisenstein(2,[0,0]) 1537 *** ^--------------------- 1538 *** mfeisenstein: incorrect type in checkNF [chi] (t_VEC). 1539 *** at top-level: mfeisenstein(6,Mod(7,9),Mod(4,9)) 1540 *** ^--------------------------------- 1541 *** mfeisenstein: sorry, mfeisenstein for these characters is not yet implemented. 1542 *** at top-level: mfinit([1,1.0]) 1543 *** ^--------------- 1544 *** mfinit: incorrect type in checkNF [k] (t_VEC). 1545 *** at top-level: ...nit([14,6,Mod(9,14)],0));mfmul(L[1],L[2]) 1546 *** ^---------------- 1547 *** mfmul: incorrect type in mfsamefield [different fields] (t_VEC). 1548 *** at top-level: mfcuspwidth(0,0) 1549 *** ^---------------- 1550 *** mfcuspwidth: domain error in mfcuspwidth: N <= 0 1551 *** at top-level: mfparams(mfadd(F2,F3)) 1552 *** ^------------- 1553 *** in function mfadd: mflinear([F,G],[1,1]) 1554 *** ^--------------------- 1555 *** mflinear: incorrect type in mflinear [different characters] (t_VEC). 1556 *** at top-level: mfparams(mfadd(F4,F6)) 1557 *** ^------------- 1558 *** in function mfadd: mflinear([F,G],[1,1]) 1559 *** ^--------------------- 1560 *** mflinear: incorrect type in mflinear [different weights] (t_VEC). 1561 *** at top-level: mfinit([23,1,Mod(22,45)],0) 1562 *** ^--------------------------- 1563 *** mfinit: incorrect type in checkNF [chi] (t_VEC). 1564 *** at top-level: mfinit([23,2,Mod(22,45)],0) 1565 *** ^--------------------------- 1566 *** mfinit: incorrect type in checkNF [chi] (t_VEC). 1567 *** at top-level: mfinit([7,1,-7],2) 1568 *** ^------------------ 1569 *** mfinit: sorry, mfinit in weight 1 for old space is not yet implemented. 1570 *** at top-level: mfinit([7,1,-7],5) 1571 *** ^------------------ 1572 *** mfinit: invalid flag in mfinit. 1573 *** at top-level: mfinit([1,2],5) 1574 *** ^--------------- 1575 *** mfinit: invalid flag in mfinit. 1576 *** at top-level: mfgaloistype([11,1,Mod(2,11)],mfeisenstein(1,1 1577 *** ^---------------------------------------------- 1578 *** mfgaloistype: domain error in mfgaloistype: form not a cuspidal eigenform 1579 *** at top-level: mfdiv(D,mfpow(D,2)) 1580 *** ^------------------- 1581 *** mfdiv: domain error in mfdiv: ord(G) > ord(F) 1582 *** at top-level: mfeval(mfD,D,-I) 1583 *** ^---------------- 1584 *** mfeval: domain error in mfeval: imag(tau) <= 0 1585 *** at top-level: mfslashexpansion(mfD,D,[1,2;3,4],1,1) 1586 *** ^------------------------------------- 1587 *** mfslashexpansion: incorrect type in GL2toSL2 (t_MAT). 1588 *** at top-level: mftonew(mfD,1) 1589 *** ^-------------- 1590 *** mftonew: incorrect type in mftobasis (t_INT). 1591 *** at top-level: T=mftraceform([96,6],4) 1592 *** ^--------------------- 1593 *** mftraceform: domain error in mftraceform: space = 4 1594 *** at top-level: mfshimura(mfinit(T5),T5,4) 1595 *** ^-------------------------- 1596 *** mfshimura: incorrect type in mfshimura [t] (t_INT). 1597 *** at top-level: mftonew(mf,E4) 1598 *** ^-------------- 1599 *** mftonew: incorrect type in mftonew [not a full or cuspidal space] (t_VEC). 1600 *** at top-level: mffields(mf) 1601 *** ^------------ 1602 *** mffields: incorrect type in mfsplit [space does not contain newspace] (t_VEC). 1603 *** at top-level: mfdiv(1,mfTheta()) 1604 *** ^------------------ 1605 *** mfdiv: incorrect type in mfdiv (t_INT). 1606 *** at top-level: mfdiv(D,mftraceform([1,3])) 1607 *** ^--------------------------- 1608 *** mfdiv: domain error in mfdiv: ord(G) > ord(F) 1609 *** at top-level: mfcosets(1.) 1610 *** ^------------ 1611 *** mfcosets: incorrect type in mfcosets (t_REAL). 1612 *** at top-level: ...([1,0]);F=mfbasis(mf)[1];mfsymbol(mf,F) 1613 *** ^-------------- 1614 *** mfsymbol: incorrect type in mfsymbol [k <= 0] (t_VEC). 1615 *** at top-level: mfmanin(FSbug) 1616 *** ^-------------- 1617 *** mfmanin: incorrect type in mfmanin [need integral k > 1] (t_VEC). 1618 *** at top-level: mfsymboleval(FSbug,[0,1]) 1619 *** ^------------------------- 1620 *** mfsymboleval: incorrect type in mfsymboleval [need integral k > 1] (t_VEC). 1621 *** at top-level: mfgaloistype([4,1,-4],x) 1622 *** ^------------------------ 1623 *** mfgaloistype: incorrect type in mfgaloistype (t_POL). 1624 *** at top-level: mfdiv(E,f) 1625 *** ^---------- 1626 *** mfdiv: sorry, changing cyclotomic fields in mf is not yet implemented. 1627 *** at top-level: ...,0);[F]=mfeigenbasis(mf);mfpow(F,3) 1628 *** ^---------- 1629 *** mfpow: sorry, changing cyclotomic fields in mf is not yet implemented. 1630 Total time spent: 6823