GP/PARI CALCULATOR Version 2.3.1 (released) amd64 running linux (x86-64/GMP-4.2.1 kernel) 64-bit version compiled: Oct 7 2006, gcc-4.1.2 20060928 (prerelease) (Debian 4.1.1-15) (readline v5.2 enabled [was v5.1 in Configure], extended help available) Copyright (C) 2000-2006 The PARI Group PARI/GP is free software, covered by the GNU General Public License, and comes WITHOUT ANY WARRANTY WHATSOEVER. Type ? for help, \q to quit. Type ?12 for how to get moral (and possibly technical) support. parisize = 64000000, primelimit = 500000 e=ellinit([0, -1, 1, 1, 0]); /* 131A */ wp=ellrootno(e,p); /* 1 */ mxl=qsetprime(131); Is=qidcl(mxl); /* # = 12 */ f=vector(8,i,ellap(e,prime(i))); /* [0, -1, -2, -1, 0, -3, 4, -2] */ ef=get_ef(mxl,f,Is); /* [0, 0, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 0]~ */ ht=hprod(ef,ef); /* 1/2 */ b0=qzero_modp(19); /* [0, 1, 1, 3], norm = 1311 */ Qs=vector(#Is,i,qtheta_lp(Is[i],b0,-19,131)); ks=vector(#Qs,i,qfrep_lk(Qs[i]),1,1)); kf=sum(i=1,#ef,ef[i]*ks[i]); kfs=sum(i=1,#kf,kronecker(i,p)*kf[i])/2; petnorm=2*e.area*deg; ll=elllseriestwist(e,l,1); if(!ll,return()); l1=petnorm/ht/ll/sqrt(abs(l)); /* [d, kfs[d], kf[d], L/Lformula or L+1] */ /* D = 2 (mod 131 ) [ 133, -1 ] [ 264, 0 ] [ 1181, 0 ] [ 1705, 0 ] [ 2229, 0 ] [ 2360, 0 ] [ 2753, 3 ] [ 3277, 2 ] [ 3801, -1 ] [ 3932, 3 ] [ 4456, 1 ] [ 4849, 0 ] [ 5897, -2 ] [ 6028, 2 ] [ 6421, -1 ] [ 6945, -4 ] [ 7469, 2 ] [ 7993, -3 ] [ 8124, 1 ] [ 8517, 2 ] [ 8648, 2 ] [ 9041, 5 ] [ 9565, 2 ] /* D = 6 (mod 131 ) [ 137, 1 ] [ 268, 0 ] [ 661, 2 ] [ 1185, -2 ] [ 1709, 1 ] [ 2233, -2 ] [ 2364, 3 ] [ 2757, 1 ] [ 3281, -2 ] [ 3805, 0 ] [ 4460, -6 ] [ 4853, 0 ] [ 4984, -1 ] [ 5377, 1 ] [ 5901, 1 ] [ 6556, -2 ] [ 6949, 2 ] [ 7080, -6 ] [ 7473, -5 ] [ 7997, 2 ] [ 8521, -3 ] [ 8652, -5 ] [ 9176, 0 ] [ 9569, 5 ] /* D = 8 (mod 131 ) [ 8, -1 ] [ 401, 1 ] [ 1580, 2 ] [ 1973, 2 ] [ 2104, -1 ] [ 2497, 0 ] [ 3021, -3 ] [ 3545, 2 ] [ 3676, -1 ] [ 4069, 0 ] [ 4593, -4 ] [ 5117, 3 ] [ 5641, -1 ] [ 5772, -3 ] [ 6296, 0 ] [ 6689, -3 ] [ 7213, 3 ] [ 7737, 5 ] [ 7868, -1 ] [ 8261, 4 ] [ 8392, 6 ] [ 8785, 2 ] [ 9309, -4 ] [ 9833, 0 ] [ 9964, -3 ] /* D = 10 (mod 131 ) [ 141, -1 ] [ 665, 2 ] [ 796, 0 ] [ 1189, 0 ] [ 1320, 0 ] [ 1713, 4 ] [ 2237, -1 ] [ 2761, 0 ] [ 2892, -5 ] [ 3416, -3 ] [ 3809, 1 ] [ 4333, -4 ] [ 4857, -2 ] [ 4988, 0 ] [ 5381, -2 ] [ 5512, -5 ] [ 5905, -2 ] [ 6429, -3 ] [ 6953, -4 ] [ 7084, 0 ] [ 7477, 1 ] [ 7608, 3 ] [ 9049, 3 ] [ 9573, -5 ] [ 9704, 2 ] /* D = 14 (mod 131 ) [ 145, -2 ] [ 669, 0 ] [ 1193, -2 ] [ 1324, -2 ] [ 1717, 1 ] [ 1848, -2 ] [ 2765, 2 ] [ 3289, 0 ] [ 3813, 5 ] [ 3944, -2 ] [ 4337, -3 ] [ 4861, 1 ] [ 5385, 2 ] [ 5516, 1 ] [ 5909, -3 ] [ 6040, 4 ] [ 6433, 3 ] [ 7481, 1 ] [ 7612, -4 ] [ 8005, -2 ] [ 8529, 0 ] [ 9053, 0 ] [ 9577, 1 ] [ 9708, 3 ] /* D = 17 (mod 131 ) [ 17, -1 ] [ 541, 1 ] [ 1065, -2 ] [ 1196, -3 ] [ 1589, 2 ] [ 1720, 2 ] [ 2113, -1 ] [ 3161, -4 ] [ 3292, 1 ] [ 3685, 4 ] [ 4209, 3 ] [ 4733, -1 ] [ 5257, -2 ] [ 5388, 4 ] [ 5781, -1 ] [ 5912, -7 ] [ 6305, 2 ] [ 6829, 1 ] [ 7484, 2 ] [ 7877, 0 ] [ 8008, 4 ] [ 8401, -1 ] [ 9449, -4 ] [ 9580, 0 ] [ 9973, -1 ] /* D = 18 (mod 131 ) [ 149, 0 ] [ 280, -2 ] [ 673, -1 ] [ 1721, -2 ] [ 1852, 4 ] [ 2245, -2 ] [ 2769, 2 ] [ 3293, 1 ] [ 3817, 2 ] [ 3948, -5 ] [ 4341, 0 ] [ 4472, 3 ] [ 4865, -4 ] [ 5389, -1 ] [ 6044, 4 ] [ 6437, 1 ] [ 6568, -1 ] [ 6961, 2 ] [ 7485, -2 ] [ 8009, 6 ] [ 8140, -4 ] [ 8533, 3 ] [ 9057, 0 ] [ 9581, 2 ] /* D = 19 (mod 131 ) [ 281, 1 ] [ 412, 3 ] [ 805, 0 ] [ 1329, -1 ] [ 1853, 1 ] [ 2377, 1 ] [ 2508, -4 ] [ 2901, 1 ] [ 3032, 2 ] [ 3949, 0 ] [ 4604, 3 ] [ 4997, 1 ] [ 5128, -1 ] [ 5521, -3 ] [ 6045, -4 ] [ 6569, -1 ] [ 7093, 2 ] [ 7224, 1 ] [ 7617, -3 ] [ 8141, -1 ] [ 8665, 2 ] [ 8796, 2 ] [ 9320, 2 ] [ 9713, -2 ] /* D = 22 (mod 131 ) [ 284, -2 ] [ 677, -1 ] [ 808, -3 ] [ 1201, -1 ] [ 2249, 0 ] [ 2380, 2 ] [ 2773, -1 ] [ 3297, 5 ] [ 3821, 1 ] [ 4345, 0 ] [ 4476, 2 ] [ 5393, 3 ] [ 5917, 3 ] [ 6441, 2 ] [ 6572, 5 ] [ 6965, 2 ] [ 7096, 2 ] [ 7489, 0 ] [ 8013, 2 ] [ 8537, -2 ] [ 8668, -2 ] [ 9061, 3 ] [ 9192, 3 ] /* D = 23 (mod 131 ) [ 285, 2 ] [ 809, -1 ] [ 940, 2 ] [ 1333, 3 ] [ 1464, 1 ] [ 1857, 2 ] [ 2381, -2 ] [ 2905, -2 ] [ 3036, -2 ] [ 3560, -4 ] [ 3953, -6 ] [ 5001, 1 ] [ 5132, -5 ] [ 5656, -3 ] [ 6049, -1 ] [ 6573, 2 ] [ 7097, -1 ] [ 7228, -5 ] [ 7621, 1 ] [ 7752, 4 ] [ 8669, -1 ] [ 9193, 0 ] [ 9717, 2 ] [ 9848, -8 ] /* D = 24 (mod 131 ) [ 24, 1 ] [ 417, -1 ] [ 941, 3 ] [ 1465, 2 ] [ 1596, 1 ] [ 2120, 2 ] [ 2513, 0 ] [ 3037, 0 ] [ 3561, -2 ] [ 3692, -6 ] [ 4085, 2 ] [ 4216, 0 ] [ 4609, -4 ] [ 5133, -4 ] [ 5657, -1 ] [ 5788, 6 ] [ 6181, -1 ] [ 6312, -1 ] [ 7229, -1 ] [ 7753, 0 ] [ 8277, -1 ] [ 8408, 1 ] [ 8801, -1 ] [ 9980, 8 ] /* D = 26 (mod 131 ) [ 157, -1 ] [ 681, -2 ] [ 812, -4 ] [ 1205, 0 ] [ 1336, 0 ] [ 1729, 1 ] [ 2253, 2 ] [ 2777, -4 ] [ 2908, -1 ] [ 3301, 1 ] [ 3432, 2 ] [ 4349, 3 ] [ 4873, 4 ] [ 5397, -1 ] [ 5528, -3 ] [ 5921, 1 ] [ 6445, 2 ] [ 6969, -1 ] [ 7493, 3 ] [ 7624, -2 ] [ 8017, -1 ] [ 9589, -4 ] /* D = 29 (mod 131 ) [ 29, 0 ] [ 553, 0 ] [ 1077, 2 ] [ 1208, -1 ] [ 1601, 0 ] [ 2649, 1 ] [ 2780, -2 ] [ 3173, 2 ] [ 3304, 1 ] [ 3697, -4 ] [ 4745, -4 ] [ 4876, -3 ] [ 5269, 2 ] [ 5793, -5 ] [ 6317, 0 ] [ 6841, 1 ] [ 6972, 4 ] [ 7365, 0 ] [ 7496, -3 ] [ 8413, 3 ] [ 9068, 3 ] [ 9461, -5 ] [ 9592, 2 ] [ 9985, -2 ] /* D = 30 (mod 131 ) [ 161, 1 ] [ 685, 2 ] [ 1209, -1 ] [ 1340, 4 ] [ 1733, 3 ] [ 1864, 1 ] [ 2257, -3 ] [ 3305, 0 ] [ 3436, -1 ] [ 3829, -2 ] [ 4353, -2 ] [ 4877, 2 ] [ 5401, -2 ] [ 5532, 2 ] [ 6056, 1 ] [ 6449, -2 ] [ 6973, 3 ] [ 7628, -4 ] [ 8021, 0 ] [ 8152, 5 ] [ 8545, -2 ] [ 9069, 2 ] [ 9593, 1 ] [ 9724, 4 ] /* D = 31 (mod 131 ) [ 293, 1 ] [ 424, -1 ] [ 817, -3 ] [ 1865, 0 ] [ 1996, 1 ] [ 2389, -2 ] [ 2913, -1 ] [ 3437, 0 ] [ 3961, 1 ] [ 4092, 2 ] [ 4485, 2 ] [ 4616, 3 ] [ 5009, 2 ] [ 5533, 6 ] [ 6188, 1 ] [ 6581, 3 ] [ 6712, 1 ] [ 7629, -4 ] [ 8153, 1 ] [ 8284, -3 ] [ 8677, 1 ] [ 8808, -3 ] [ 9201, -2 ] /* D = 32 (mod 131 ) [ 556, -1 ] [ 949, 0 ] [ 1473, -2 ] [ 1997, -2 ] [ 2521, 0 ] [ 2652, -3 ] [ 3045, -2 ] [ 3176, 3 ] [ 3569, 0 ] [ 4093, 3 ] [ 4748, 4 ] [ 5141, 3 ] [ 5272, 0 ] [ 5665, 0 ] [ 6189, 4 ] [ 6844, -2 ] [ 7237, 0 ] [ 7368, -5 ] [ 7761, -2 ] [ 8285, 2 ] [ 8809, 1 ] [ 8940, 0 ] [ 9857, -2 ] /* D = 37 (mod 131 ) [ 37, 1 ] [ 168, 1 ] [ 561, 2 ] [ 1085, 2 ] [ 1609, -1 ] [ 1740, -2 ] [ 2264, 1 ] [ 2657, -2 ] [ 3181, 0 ] [ 3705, -4 ] [ 3836, -1 ] [ 4229, 1 ] [ 4360, -4 ] [ 5277, 0 ] [ 5801, 0 ] [ 5932, -3 ] [ 6456, -3 ] [ 7373, 2 ] [ 7897, -4 ] [ 8421, -3 ] [ 8552, -8 ] [ 8945, 2 ] [ 9469, 1 ] [ 9993, -1 ] /* D = 40 (mod 131 ) [ 40, 0 ] [ 433, 1 ] [ 957, 2 ] [ 1481, -1 ] [ 1612, 3 ] [ 2005, 2 ] [ 2136, -3 ] [ 3053, 0 ] [ 4101, -1 ] [ 5149, -3 ] [ 5673, -5 ] [ 5804, -2 ] [ 6197, 3 ] [ 6328, -2 ] [ 6721, -2 ] [ 7769, -3 ] [ 8293, 0 ] [ 8817, 1 ] [ 9341, 6 ] [ 9865, 0 ] /* D = 42 (mod 131 ) [ 173, 0 ] [ 697, 3 ] [ 1221, 0 ] [ 1745, 0 ] [ 2269, -2 ] [ 2924, 1 ] [ 3317, -5 ] [ 3448, 4 ] [ 3841, 0 ] [ 4889, -1 ] [ 5020, 0 ] [ 5413, -1 ] [ 5937, -1 ] [ 6461, 2 ] [ 6985, 4 ] [ 7116, 4 ] [ 7509, -2 ] [ 7640, 4 ] [ 8033, -2 ] [ 8557, -2 ] [ 9605, 8 ] [ 9736, 2 ] /* D = 47 (mod 131 ) [ 309, 1 ] [ 440, 0 ] [ 1357, 1 ] [ 2012, 1 ] [ 2405, 4 ] [ 2536, -1 ] [ 2929, -2 ] [ 3453, -3 ] [ 3977, -3 ] [ 4108, -2 ] [ 4501, -2 ] [ 4632, -4 ] [ 5549, -1 ] [ 6073, 1 ] [ 6204, -4 ] [ 7121, 2 ] [ 7645, 0 ] [ 8169, -2 ] [ 8693, -3 ] [ 8824, -1 ] [ 9217, 4 ] [ 9741, 1 ] /* D = 50 (mod 131 ) [ 181, -1 ] [ 312, -1 ] [ 705, 0 ] [ 1229, -1 ] [ 1753, -1 ] [ 1884, -1 ] [ 2408, 1 ] [ 2801, -1 ] [ 3849, 1 ] [ 3980, -2 ] [ 4373, -4 ] [ 4504, -1 ] [ 4897, -2 ] [ 5421, 5 ] [ 5945, 2 ] [ 6469, 1 ] [ 7517, -5 ] [ 8041, 0 ] [ 8565, 0 ] [ 8696, -3 ] [ 9089, 4 ] [ 9613, 3 ] /* D = 51 (mod 131 ) [ 313, 2 ] [ 444, 3 ] [ 1361, -1 ] [ 1885, -2 ] [ 2409, 2 ] [ 2540, -4 ] [ 2933, -1 ] [ 3064, -1 ] [ 3457, 2 ] [ 3981, 0 ] [ 4505, -2 ] [ 4636, -1 ] [ 5029, -1 ] [ 5160, 0 ] [ 6077, -5 ] [ 6601, 1 ] [ 7256, -3 ] [ 7649, -1 ] [ 8173, -2 ] [ 8697, 8 ] [ 8828, -7 ] [ 9221, -1 ] [ 9352, 4 ] [ 9745, -4 ] /* D = 54 (mod 131 ) [ 185, 2 ] [ 316, 2 ] [ 709, 0 ] [ 840, 0 ] [ 1757, 1 ] [ 2281, 2 ] [ 2805, -4 ] [ 2936, -3 ] [ 3329, 0 ] [ 3853, -2 ] [ 4377, 2 ] [ 5032, 2 ] [ 6473, -2 ] [ 6604, -5 ] [ 6997, 0 ] [ 7521, -3 ] [ 8045, 2 ] [ 8569, -2 ] [ 9093, -1 ] [ 9224, -3 ] [ 9617, 2 ] /* D = 56 (mod 131 ) [ 56, -1 ] [ 449, 0 ] [ 973, -3 ] [ 1497, 3 ] [ 1628, 4 ] [ 2021, -3 ] [ 2152, 3 ] [ 2545, 2 ] [ 3593, -3 ] [ 4117, 1 ] [ 4641, 3 ] [ 5165, 0 ] [ 5689, 0 ] [ 5820, 2 ] [ 6213, 1 ] [ 6344, 1 ] [ 6737, 2 ] [ 7261, 1 ] [ 7916, 1 ] [ 8309, -2 ] [ 8440, 0 ] [ 9357, 5 ] [ 9881, 1 ] /* D = 57 (mod 131 ) [ 57, -1 ] [ 188, -1 ] [ 581, -2 ] [ 712, -1 ] [ 1105, -2 ] [ 2153, 2 ] [ 2284, 0 ] [ 2677, 1 ] [ 3201, 0 ] [ 4249, 0 ] [ 4380, 4 ] [ 4773, 3 ] [ 4904, 4 ] [ 5297, -3 ] [ 5821, 1 ] [ 6476, 0 ] [ 6869, 5 ] [ 7393, 2 ] [ 7917, 0 ] [ 8441, -3 ] [ 8572, 7 ] [ 8965, 0 ] [ 9096, 4 ] [ 9489, 2 ] /* D = 66 (mod 131 ) [ 197, -1 ] [ 328, 1 ] [ 721, -1 ] [ 1245, 2 ] [ 1769, 2 ] [ 2293, 3 ] [ 2424, 1 ] [ 3341, -1 ] [ 3865, 0 ] [ 4389, -2 ] [ 4520, 4 ] [ 5437, -2 ] [ 5961, 0 ] [ 6092, 4 ] [ 6485, -4 ] [ 6616, 1 ] [ 7009, 0 ] [ 8057, 1 ] [ 8188, -1 ] [ 8581, 2 ] [ 9105, -2 ] [ 9629, 0 ] /* D = 67 (mod 131 ) [ 329, 1 ] [ 460, 2 ] [ 853, 0 ] [ 984, 3 ] [ 1901, 0 ] [ 2949, -1 ] [ 3080, -4 ] [ 3473, 3 ] [ 3997, -2 ] [ 4521, -2 ] [ 4652, 1 ] [ 5045, -6 ] [ 5176, -4 ] [ 5569, 2 ] [ 6617, -6 ] [ 6748, -7 ] [ 7141, 0 ] [ 7665, 0 ] [ 8189, -2 ] [ 8713, 3 ] [ 8844, 2 ] [ 9237, 3 ] [ 9368, -3 ] [ 9761, -2 ] /* D = 68 (mod 131 ) [ 461, -2 ] [ 985, 0 ] [ 1509, -1 ] [ 1640, 4 ] [ 2033, 3 ] [ 2557, -2 ] [ 3081, -2 ] [ 3212, 6 ] [ 3605, 0 ] [ 3736, 2 ] [ 4129, 2 ] [ 5177, 2 ] [ 5308, 2 ] [ 5701, 3 ] [ 6749, 5 ] [ 7273, -2 ] [ 7404, 4 ] [ 7797, 2 ] [ 7928, 5 ] [ 8321, 3 ] [ 8845, 2 ] [ 9893, -7 ] /* D = 69 (mod 131 ) [ 69, 1 ] [ 593, 2 ] [ 1117, -1 ] [ 1641, 2 ] [ 1772, 1 ] [ 2165, -4 ] [ 2296, -1 ] [ 2689, 0 ] [ 3737, -3 ] [ 3868, -3 ] [ 4261, -2 ] [ 4785, 0 ] [ 5309, -2 ] [ 5833, 1 ] [ 5964, 2 ] [ 6357, 4 ] [ 6488, -5 ] [ 6881, -1 ] [ 7405, -4 ] [ 8060, -6 ] [ 8453, -2 ] [ 8584, 2 ] [ 8977, 1 ] [ 9501, 0 ] /* D = 70 (mod 131 ) [ 201, 0 ] [ 332, 2 ] [ 856, -1 ] [ 1249, -1 ] [ 2297, 2 ] [ 2428, -2 ] [ 2821, 1 ] [ 3345, -2 ] [ 3869, 2 ] [ 4393, 1 ] [ 4524, 0 ] [ 4917, 2 ] [ 5048, 3 ] [ 5441, -3 ] [ 5965, -2 ] [ 6620, -2 ] [ 7013, -8 ] [ 7144, 4 ] [ 7537, -2 ] [ 8061, 1 ] [ 8585, 4 ] [ 8716, -2 ] [ 9109, 0 ] [ 9240, -8 ] /* D = 71 (mod 131 ) [ 857, -1 ] [ 988, -1 ] [ 1381, 1 ] [ 1905, -2 ] [ 2429, 5 ] [ 2953, 0 ] [ 3084, 1 ] [ 3477, -1 ] [ 3608, 2 ] [ 4001, -1 ] [ 5180, 0 ] [ 5573, 5 ] [ 5704, 2 ] [ 6097, 0 ] [ 6621, -3 ] [ 7145, 2 ] [ 7276, 5 ] [ 7669, -1 ] [ 8193, 0 ] [ 8717, 2 ] [ 9241, -2 ] [ 9372, -4 ] [ 9896, 1 ] /* D = 72 (mod 131 ) [ 465, 2 ] [ 989, 1 ] [ 1513, 1 ] [ 1644, 1 ] [ 2037, -3 ] [ 2168, 3 ] [ 2561, -1 ] [ 3085, -2 ] [ 3740, 0 ] [ 4133, 1 ] [ 4264, 1 ] [ 4657, -3 ] [ 5181, 0 ] [ 5705, 6 ] [ 5836, -2 ] [ 6229, -2 ] [ 6360, 0 ] [ 6753, -5 ] [ 7277, 3 ] [ 7801, 0 ] [ 7932, -2 ] [ 8456, -3 ] [ 8849, -2 ] [ 9373, 1 ] [ 9897, -1 ] /* D = 73 (mod 131 ) [ 73, 0 ] [ 204, 1 ] [ 597, 2 ] [ 728, 1 ] [ 1121, -1 ] [ 1645, 4 ] [ 2693, -1 ] [ 2824, -2 ] [ 3217, -1 ] [ 3741, 2 ] [ 4265, 2 ] [ 4396, -1 ] [ 4789, -2 ] [ 4920, -2 ] [ 5313, -8 ] [ 5837, -2 ] [ 6361, -2 ] [ 6492, -7 ] [ 7016, -1 ] [ 7409, 2 ] [ 7933, -2 ] [ 8457, 4 ] [ 8588, 4 ] [ 8981, 1 ] [ 9112, -2 ] [ 9505, 0 ] /* D = 76 (mod 131 ) [ 76, -1 ] [ 469, 0 ] [ 993, -4 ] [ 1517, 3 ] [ 2041, -3 ] [ 2172, 1 ] [ 2696, 1 ] [ 3089, 3 ] [ 3613, 0 ] [ 4137, 3 ] [ 4268, 4 ] [ 4661, 2 ] [ 4792, 1 ] [ 5185, 0 ] [ 5709, 0 ] [ 6233, -1 ] [ 6364, -1 ] [ 6757, 4 ] [ 6888, 5 ] [ 7805, 6 ] [ 8329, 3 ] [ 8853, -4 ] [ 8984, 2 ] [ 9377, 0 ] [ 9901, -2 ] /* D = 78 (mod 131 ) [ 209, 0 ] [ 733, 0 ] [ 1257, 3 ] [ 1388, 1 ] [ 1781, -3 ] [ 1912, 2 ] [ 2305, 0 ] [ 2829, 3 ] [ 3353, -6 ] [ 3484, 4 ] [ 3877, 2 ] [ 4008, 4 ] [ 5449, 0 ] [ 5973, -2 ] [ 6104, 1 ] [ 6497, -4 ] [ 7021, -3 ] [ 7545, 2 ] [ 7676, 3 ] [ 8069, 2 ] [ 8593, 2 ] [ 9641, 1 ] [ 9772, -1 ] /* D = 79 (mod 131 ) [ 341, -2 ] [ 472, -1 ] [ 865, -2 ] [ 1389, 0 ] [ 1913, 3 ] [ 2044, 0 ] [ 2437, 1 ] [ 2568, -5 ] [ 3485, 0 ] [ 4009, 4 ] [ 4533, -2 ] [ 4664, 4 ] [ 5057, 2 ] [ 5581, 0 ] [ 6105, -4 ] [ 6236, -2 ] [ 6629, 3 ] [ 7153, -3 ] [ 8201, 3 ] [ 8332, 2 ] [ 9249, 0 ] [ 9773, 2 ] /* D = 82 (mod 131 ) [ 213, 2 ] [ 344, -1 ] [ 737, -2 ] [ 1261, 1 ] [ 1785, 0 ] [ 1916, 0 ] [ 2309, -3 ] [ 2440, 0 ] [ 2833, -3 ] [ 3881, -2 ] [ 4012, 3 ] [ 4405, 2 ] [ 4929, 1 ] [ 5453, 1 ] [ 5977, 1 ] [ 6108, -2 ] [ 6501, 2 ] [ 6632, -3 ] [ 7549, 0 ] [ 8204, -1 ] [ 8597, 0 ] [ 8728, 1 ] [ 9121, 4 ] [ 9645, -2 ] /* D = 83 (mod 131 ) [ 345, 0 ] [ 476, 1 ] [ 869, 0 ] [ 1393, 0 ] [ 2441, 2 ] [ 2572, 2 ] [ 2965, 0 ] [ 3489, 3 ] [ 4013, -2 ] [ 4537, 5 ] [ 4668, 2 ] [ 5061, -3 ] [ 5192, 4 ] [ 5585, -4 ] [ 6109, -2 ] [ 6764, 1 ] [ 7157, 4 ] [ 7288, 3 ] [ 7681, -3 ] [ 8205, -6 ] [ 8729, 4 ] [ 8860, -2 ] [ 9253, -2 ] [ 9384, 4 ] [ 9777, 4 ] /* D = 85 (mod 131 ) [ 85, 0 ] [ 609, -2 ] [ 1133, 4 ] [ 1657, -1 ] [ 1788, -2 ] [ 2181, 1 ] [ 2705, -2 ] [ 3229, 1 ] [ 3884, -1 ] [ 4277, -1 ] [ 4408, -4 ] [ 4801, -2 ] [ 5849, -1 ] [ 5980, 0 ] [ 6373, 2 ] [ 6504, -5 ] [ 7421, 1 ] [ 7945, 2 ] [ 8076, -1 ] [ 9517, -1 ] /* D = 86 (mod 131 ) [ 217, 1 ] [ 348, 2 ] [ 741, 1 ] [ 872, 3 ] [ 1265, 0 ] [ 1789, 1 ] [ 2444, 3 ] [ 2837, 3 ] [ 2968, -1 ] [ 3361, -3 ] [ 3885, -2 ] [ 4409, -1 ] [ 4540, -2 ] [ 4933, -1 ] [ 5064, 0 ] [ 5457, -3 ] [ 5981, 1 ] [ 6505, -2 ] [ 6636, 0 ] [ 7160, 4 ] [ 7553, -4 ] [ 8077, -1 ] [ 8601, 1 ] [ 8732, -1 ] [ 9256, 1 ] [ 9649, -1 ] /* D = 87 (mod 131 ) [ 349, 1 ] [ 1004, 3 ] [ 1397, 4 ] [ 1528, 1 ] [ 1921, 0 ] [ 2445, 2 ] [ 2969, 0 ] [ 3493, -3 ] [ 3624, -1 ] [ 4017, -1 ] [ 4541, 0 ] [ 5065, -4 ] [ 5196, 1 ] [ 5720, -4 ] [ 6113, -2 ] [ 6637, 1 ] [ 7161, -4 ] [ 7292, 0 ] [ 7685, 2 ] [ 7816, 2 ] [ 8209, 3 ] [ 8733, -2 ] [ 9257, 4 ] [ 9388, 4 ] [ 9781, 1 ] [ 9912, 9 ] /* D = 88 (mod 131 ) [ 88, 0 ] [ 481, 1 ] [ 1005, 0 ] [ 1529, 2 ] [ 1660, -2 ] [ 2053, -3 ] [ 2184, 3 ] [ 2577, -1 ] [ 3101, -3 ] [ 3756, 2 ] [ 4280, -2 ] [ 4673, -1 ] [ 5197, -4 ] [ 5721, 4 ] [ 5852, -10 ] [ 6245, 2 ] [ 6376, -3 ] [ 6769, -1 ] [ 7293, 4 ] [ 7817, -1 ] [ 7948, 8 ] [ 8341, -1 ] [ 8472, -4 ] [ 9389, -1 ] [ 9913, -2 ] /* D = 90 (mod 131 ) [ 221, 1 ] [ 745, 0 ] [ 876, -2 ] [ 1793, 2 ] [ 2317, -2 ] [ 2841, -5 ] [ 2972, 2 ] [ 3365, -2 ] [ 3496, -2 ] [ 3889, 2 ] [ 4413, 3 ] [ 4937, -1 ] [ 5068, -5 ] [ 5461, -1 ] [ 5592, -7 ] [ 6509, 1 ] [ 7033, 1 ] [ 7557, 0 ] [ 8081, 2 ] [ 8605, 0 ] [ 9129, -1 ] [ 9260, 0 ] [ 9784, -1 ] /* D = 92 (mod 131 ) [ 92, 1 ] [ 485, 0 ] [ 616, 2 ] [ 1009, -1 ] [ 1533, 2 ] [ 2188, 0 ] [ 2581, 2 ] [ 2712, 0 ] [ 3629, -1 ] [ 4153, -2 ] [ 4677, 2 ] [ 4808, 3 ] [ 5201, 0 ] [ 6249, -2 ] [ 6380, 4 ] [ 6773, -1 ] [ 6904, 0 ] [ 7297, -4 ] [ 8345, 0 ] [ 8476, 2 ] [ 9393, -7 ] [ 9917, -2 ] /* D = 93 (mod 131 ) [ 93, -1 ] [ 617, 0 ] [ 748, -2 ] [ 1141, -2 ] [ 1272, -3 ] [ 2189, -2 ] [ 2713, 2 ] [ 3237, -2 ] [ 3368, 2 ] [ 3761, 4 ] [ 4285, 2 ] [ 4809, 1 ] [ 4940, 2 ] [ 5333, 4 ] [ 5464, -1 ] [ 5857, -1 ] [ 6905, 4 ] [ 7036, 0 ] [ 7429, 2 ] [ 7953, -6 ] [ 9001, 1 ] [ 9132, -5 ] [ 9656, -2 ] /* D = 95 (mod 131 ) [ 357, -3 ] [ 488, -3 ] [ 881, -1 ] [ 1405, -2 ] [ 1929, 4 ] [ 2060, -2 ] [ 2453, 2 ] [ 2584, 0 ] [ 2977, 3 ] [ 4156, 0 ] [ 4549, -1 ] [ 5073, 1 ] [ 5597, 4 ] [ 6121, 4 ] [ 6252, 7 ] [ 6645, -4 ] [ 7169, -4 ] [ 8348, -3 ] [ 8741, -1 ] [ 8872, 1 ] [ 9265, 0 ] [ 9789, 1 ] /* D = 96 (mod 131 ) [ 489, -2 ] [ 620, 0 ] [ 1013, -2 ] [ 1144, -2 ] [ 1537, 0 ] [ 2585, -4 ] [ 2716, 1 ] [ 3109, 3 ] [ 3633, 4 ] [ 4157, 4 ] [ 4681, 1 ] [ 4812, 9 ] [ 5205, 2 ] [ 5336, 6 ] [ 5729, -3 ] [ 6908, -4 ] [ 7432, 3 ] [ 8873, 0 ] [ 9004, 1 ] [ 9397, 2 ] [ 9528, -1 ] [ 9921, 1 ] /* D = 97 (mod 131 ) [ 97, 1 ] [ 1145, 2 ] [ 1276, 2 ] [ 1669, -1 ] [ 2193, 1 ] [ 2717, -2 ] [ 3241, 2 ] [ 3372, 1 ] [ 3765, -6 ] [ 3896, -2 ] [ 4289, 1 ] [ 4813, -1 ] [ 5468, -1 ] [ 5861, 4 ] [ 5992, 3 ] [ 6385, 0 ] [ 7433, -3 ] [ 7564, -3 ] [ 7957, 2 ] [ 8088, -1 ] [ 8481, -4 ] [ 9005, 2 ] [ 9529, 0 ] [ 9660, -2 ] /* D = 98 (mod 131 ) [ 229, -1 ] [ 753, -1 ] [ 1277, 1 ] [ 1801, -2 ] [ 1932, -5 ] [ 2456, 3 ] [ 2849, 2 ] [ 3373, -2 ] [ 4028, 7 ] [ 4421, 5 ] [ 4552, -1 ] [ 4945, 4 ] [ 5469, -2 ] [ 5993, 0 ] [ 6124, 0 ] [ 6648, 0 ] [ 7041, 0 ] [ 7565, 4 ] [ 8089, 0 ] [ 8220, 4 ] [ 8744, -1 ] [ 9137, -7 ] [ 9661, 0 ] /* D = 103 (mod 131 ) [ 365, 0 ] [ 889, -1 ] [ 1020, 2 ] [ 1544, 0 ] [ 1937, 0 ] [ 2461, 3 ] [ 2985, -2 ] [ 3116, -1 ] [ 3640, -4 ] [ 4033, -1 ] [ 5081, -5 ] [ 5212, 2 ] [ 5605, 0 ] [ 5736, 2 ] [ 6653, -5 ] [ 7177, -2 ] [ 7701, 1 ] [ 7832, 4 ] [ 8749, 1 ] [ 9273, 4 ] [ 9404, -6 ] [ 9797, 7 ] [ 9928, -2 ] /* D = 104 (mod 131 ) [ 104, 1 ] [ 497, 2 ] [ 1021, 0 ] [ 1545, 0 ] [ 1676, 1 ] [ 2069, -2 ] [ 2593, 4 ] [ 3117, -2 ] [ 3641, 0 ] [ 3772, -1 ] [ 4296, -3 ] [ 5213, -5 ] [ 5737, -3 ] [ 6261, 1 ] [ 6392, 2 ] [ 6785, 2 ] [ 7309, 0 ] [ 7833, -2 ] [ 7964, 2 ] [ 8357, -1 ] [ 8488, -1 ] [ 8881, -2 ] [ 9929, 3 ] /* D = 106 (mod 131 ) [ 237, 2 ] [ 761, -1 ] [ 892, 2 ] [ 1285, 0 ] [ 1416, -1 ] [ 2333, -1 ] [ 2857, 0 ] [ 3512, 1 ] [ 3905, 0 ] [ 4429, 1 ] [ 4953, -3 ] [ 5084, 3 ] [ 5477, -1 ] [ 5608, 1 ] [ 6001, 2 ] [ 7049, 1 ] [ 7180, -2 ] [ 7573, -1 ] [ 8097, 3 ] [ 8621, -5 ] [ 9145, -4 ] [ 9276, -2 ] [ 9669, 2 ] /* D = 110 (mod 131 ) [ 241, 1 ] [ 1289, 0 ] [ 1420, -2 ] [ 2337, 3 ] [ 2861, 0 ] [ 3385, -2 ] [ 3516, 1 ] [ 3909, -4 ] [ 4040, 0 ] [ 4433, 4 ] [ 4957, 0 ] [ 5612, -1 ] [ 6005, 2 ] [ 6136, -3 ] [ 6529, 0 ] [ 7053, -6 ] [ 7577, -4 ] [ 7708, -1 ] [ 8101, 0 ] [ 9149, 0 ] [ 9673, 3 ] [ 9804, -5 ] /* D = 111 (mod 131 ) [ 373, -2 ] [ 897, -1 ] [ 1945, -2 ] [ 2076, 0 ] [ 2469, 1 ] [ 2993, 2 ] [ 3517, 4 ] [ 4172, 2 ] [ 4565, 4 ] [ 4696, 1 ] [ 5089, 1 ] [ 5613, 0 ] [ 6268, 3 ] [ 6661, -2 ] [ 6792, 7 ] [ 7185, 0 ] [ 7709, -2 ] [ 8233, -2 ] [ 8364, -3 ] [ 8888, -2 ] [ 9281, 1 ] [ 9805, 0 ] /* D = 115 (mod 131 ) [ 377, -2 ] [ 508, -1 ] [ 901, -1 ] [ 1032, -1 ] [ 1949, 0 ] [ 2473, 2 ] [ 2604, 1 ] [ 3128, 4 ] [ 3521, -3 ] [ 4045, 0 ] [ 4569, 6 ] [ 5093, 0 ] [ 5224, 3 ] [ 5617, 1 ] [ 6141, 3 ] [ 6665, 2 ] [ 6796, 3 ] [ 7189, 0 ] [ 7320, 2 ] [ 8237, -5 ] [ 8761, -1 ] [ 9285, 0 ] [ 9416, -2 ] [ 9809, 1 ] /* D = 116 (mod 131 ) [ 509, 2 ] [ 1033, 1 ] [ 1164, 3 ] [ 1688, 2 ] [ 2081, 2 ] [ 2605, 0 ] [ 3129, -4 ] [ 3260, -2 ] [ 3653, -1 ] [ 3784, -2 ] [ 4177, -2 ] [ 4701, -1 ] [ 5356, -1 ] [ 5749, 1 ] [ 6797, 3 ] [ 7321, -4 ] [ 7845, -2 ] [ 7976, 1 ] [ 8369, 1 ] [ 8893, 2 ] [ 9417, 6 ] [ 9548, 4 ] [ 9941, 4 ] /* D = 118 (mod 131 ) [ 249, 0 ] [ 380, 0 ] [ 773, -4 ] [ 904, -2 ] [ 1297, 2 ] [ 1821, 0 ] [ 2345, 4 ] [ 2476, -2 ] [ 2869, -1 ] [ 3917, 0 ] [ 4441, 0 ] [ 4965, 2 ] [ 5489, -2 ] [ 6013, -3 ] [ 6537, 6 ] [ 6668, -5 ] [ 7061, -3 ] [ 7192, 2 ] [ 7585, -2 ] [ 8633, -3 ] [ 8764, -2 ] [ 9157, 5 ] [ 9681, 0 ] /* D = 119 (mod 131 ) [ 381, -1 ] [ 905, -4 ] [ 1036, -1 ] [ 1429, 1 ] [ 1560, -4 ] [ 2477, 4 ] [ 3001, 0 ] [ 3656, 1 ] [ 4049, 4 ] [ 4573, -3 ] [ 5097, 1 ] [ 5228, 10 ] [ 5621, 2 ] [ 5752, 7 ] [ 6145, 2 ] [ 7193, -1 ] [ 7324, -1 ] [ 7717, 2 ] [ 8241, -2 ] [ 8765, 2 ] [ 9289, -2 ] [ 9420, -4 ] [ 9813, -10 ] [ 9944, 4 ] /* D = 120 (mod 131 ) [ 120, 2 ] [ 1037, 1 ] [ 1561, 0 ] [ 2085, 4 ] [ 2216, 0 ] [ 2609, -4 ] [ 3133, 1 ] [ 3657, -1 ] [ 3788, -1 ] [ 4181, 0 ] [ 4705, -2 ] [ 5753, -2 ] [ 5884, -1 ] [ 6277, -4 ] [ 6801, 1 ] [ 7849, 0 ] [ 7980, 8 ] [ 8373, -1 ] [ 8504, -4 ] [ 8897, -7 ] [ 9421, 0 ] /* D = 122 (mod 131 ) [ 253, -2 ] [ 777, -1 ] [ 908, 2 ] [ 1301, 0 ] [ 1432, -1 ] [ 3004, 0 ] [ 3397, 2 ] [ 3921, 0 ] [ 4445, -2 ] [ 4969, 3 ] [ 5493, -3 ] [ 5624, 6 ] [ 6017, 4 ] [ 6541, -4 ] [ 7196, 7 ] [ 7589, -2 ] [ 7720, 0 ] [ 8113, -3 ] [ 8637, 4 ] [ 9161, 6 ] [ 9292, 3 ] [ 9685, 0 ] [ 9816, 0 ] /* D = 124 (mod 131 ) [ 124, 1 ] [ 517, 0 ] [ 1041, 1 ] [ 1565, 4 ] [ 2089, 2 ] [ 2220, 0 ] [ 2613, -4 ] [ 3137, 2 ] [ 3661, -3 ] [ 4316, 0 ] [ 4709, -2 ] [ 5233, 2 ] [ 5757, -5 ] [ 6281, 0 ] [ 6412, -1 ] [ 6805, 0 ] [ 7329, -3 ] [ 7853, -1 ] [ 8377, -4 ] [ 8508, 6 ] [ 9032, 1 ] [ 9949, -1 ] /* D = 126 (mod 131 ) [ 257, -1 ] [ 781, 0 ] [ 1436, -2 ] [ 1829, 1 ] [ 2353, -1 ] [ 2877, 1 ] [ 3401, -3 ] [ 3532, -5 ] [ 4449, -1 ] [ 4973, -3 ] [ 5497, -2 ] [ 5628, 0 ] [ 6152, -6 ] [ 6545, 0 ] [ 7069, 0 ] [ 7593, 1 ] [ 7724, 1 ] [ 8117, -4 ] [ 8248, 2 ] [ 8641, -1 ] [ 9165, 2 ] [ 9689, -1 ] [ 9820, 0 ] /* D = 127 (mod 131 ) [ 389, 2 ] [ 520, -2 ] [ 913, -2 ] [ 1437, -2 ] [ 1961, -1 ] [ 2092, 1 ] [ 2485, -2 ] [ 2616, -1 ] [ 3009, -1 ] [ 3533, 5 ] [ 4057, 2 ] [ 4188, -3 ] [ 4712, 4 ] [ 5105, -2 ] [ 5629, 3 ] [ 6153, -3 ] [ 6284, 3 ] [ 6677, 10 ] [ 6808, -2 ] [ 7201, 0 ] [ 8249, 0 ] [ 8380, -4 ] [ 8773, 1 ] [ 8904, -3 ] [ 9821, -3 ] /* D = 128 (mod 131 ) [ 521, 1 ] [ 652, 0 ] [ 1045, 0 ] [ 1569, 1 ] [ 2093, 3 ] [ 2617, -3 ] [ 2748, -5 ] [ 3272, 0 ] [ 3665, 0 ] [ 4189, 0 ] [ 4713, 3 ] [ 4844, 4 ] [ 5237, -2 ] [ 5368, -2 ] [ 5761, 1 ] [ 6285, -6 ] [ 6809, 0 ] [ 6940, 0 ] [ 7333, -2 ] [ 7464, 1 ] [ 8905, 0 ] [ 9429, -2 ] [ 9560, 0 ] [ 9953, 1 ] /* D = 130 (mod 131 ) [ 785, 2 ] [ 1309, 0 ] [ 1833, 1 ] [ 1964, 2 ] [ 2357, 2 ] [ 2488, -1 ] [ 2881, 2 ] [ 3405, -2 ] [ 3929, -3 ] [ 4060, -2 ] [ 4453, -4 ] [ 4584, -5 ] [ 5501, -1 ] [ 6549, -5 ] [ 6680, 4 ] [ 7073, 2 ] [ 7597, -2 ] [ 8121, 1 ] [ 8252, 0 ] [ 8645, 4 ] [ 8776, 1 ] [ 9169, 2 ] Total time: 122.250 seconds Goodbye!