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([1, 1, 1, -1, 0]); /* 89A */ wp=ellrootno(e,p); /* 1 */ mxl=qsetprime(89); Is=qidcl(mxl); /* # = 8 */ f=vector(8,i,ellap(e,prime(i))); /* [-1, -1, -1, -4, -2, 2, 3, -5] */ ef=get_ef(mxl,f,Is); /* [0, 0, 0, 0, 0, -1/2, 0, 1/2]~ */ ht=hprod(ef,ef); /* 1/2 */ b0=qzero_modp(11); /* [0, 1, 2, 5], norm = 6776 */ Qs=vector(#Is,i,qtheta_lp(Is[i],b0,-11,89)); ks=vector(#Qs,i,qfrep_lk(Qs[i]),1,1)); kf=sum(i=1,#ef,ef[i]*ks[i]); /* we are cheating, by adding up *half*, otherwise we get 0 for l < 0 */ kfs=sum(i=1,#kf\2,kf[i])+if(l>0,kf[p]); 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 = 3 (mod 89 ) [ 92, 1 ] [ 181, -1 ] [ 537, 0 ] [ 893, 1 ] [ 1160, -2 ] [ 1249, 0 ] [ 1516, 1 ] [ 1605, 2 ] [ 1961, 0 ] [ 2317, -4 ] [ 2584, 1 ] [ 3029, 6 ] [ 3385, -2 ] [ 3741, -3 ] [ 4008, -2 ] [ 4097, -3 ] [ 4364, 5 ] [ 4453, 1 ] [ 4809, 0 ] [ 5165, -6 ] [ 5432, -2 ] [ 5521, 2 ] [ 5788, 5 ] [ 6233, -1 ] [ 6589, 1 ] [ 6856, -2 ] [ 6945, 1 ] [ 7212, 3 ] [ 7657, 3 ] [ 8013, 9 ] [ 8369, 1 ] [ 8636, -5 ] [ 9437, -4 ] [ 9704, -2 ] [ 9793, 0 ] /* D = 6 (mod 89 ) [ 184, 1 ] [ 273, 0 ] [ 629, 2 ] [ 985, -3 ] [ 1608, -4 ] [ 1697, 3 ] [ 1964, 1 ] [ 2053, -3 ] [ 2409, 1 ] [ 2765, -2 ] [ 3032, 1 ] [ 3121, -3 ] [ 3477, 5 ] [ 3833, -1 ] [ 4189, 2 ] [ 4456, 2 ] [ 4812, -2 ] [ 5257, 2 ] [ 5613, -5 ] [ 5969, 1 ] [ 6236, 0 ] [ 6681, 1 ] [ 7037, 1 ] [ 7304, -8 ] [ 7393, -1 ] [ 7660, -5 ] [ 8105, 3 ] [ 8461, 4 ] [ 8728, 3 ] [ 8817, -4 ] [ 9084, 7 ] [ 9173, -5 ] [ 9529, 1 ] [ 9885, 0 ] /* D = 7 (mod 89 ) [ 185, 2 ] [ 541, 0 ] [ 808, 0 ] [ 897, -1 ] [ 1164, 1 ] [ 1253, -4 ] [ 1609, 2 ] [ 1965, -3 ] [ 2321, -2 ] [ 2588, -2 ] [ 2677, 5 ] [ 3389, 3 ] [ 3656, -2 ] [ 3745, 2 ] [ 4012, 2 ] [ 4101, -1 ] [ 4457, -4 ] [ 4813, 1 ] [ 5080, -3 ] [ 5169, 1 ] [ 5881, -1 ] [ 6504, 0 ] [ 6593, -1 ] [ 6949, -5 ] [ 7305, -2 ] [ 7661, 3 ] [ 7928, 1 ] [ 8017, 1 ] [ 8284, -1 ] [ 8373, -3 ] [ 8729, -2 ] [ 9085, -6 ] [ 9352, 4 ] [ 9708, -11 ] [ 9797, -1 ] /* D = 12 (mod 89 ) [ 12, 1 ] [ 101, -1 ] [ 457, 0 ] [ 813, -1 ] [ 1169, 2 ] [ 1436, 0 ] [ 2237, 1 ] [ 2504, 2 ] [ 2593, -1 ] [ 2860, 0 ] [ 2949, 2 ] [ 3305, 0 ] [ 3661, 0 ] [ 3928, -3 ] [ 4017, -3 ] [ 4373, -6 ] [ 4729, -2 ] [ 5352, 6 ] [ 5441, -1 ] [ 5708, -4 ] [ 5797, 1 ] [ 6153, 2 ] [ 6509, 6 ] [ 6865, 2 ] [ 7132, 1 ] [ 7221, 0 ] [ 7577, 3 ] [ 7933, 2 ] [ 8556, -1 ] [ 8645, 2 ] [ 9001, 1 ] [ 9357, 1 ] [ 9624, -2 ] [ 9713, -1 ] [ 9980, 2 ] /* D = 13 (mod 89 ) [ 13, -1 ] [ 280, -2 ] [ 636, -1 ] [ 1081, 1 ] [ 1437, -3 ] [ 1704, 6 ] [ 1793, 1 ] [ 2060, -1 ] [ 2149, 0 ] [ 2505, 0 ] [ 2861, 0 ] [ 3128, -3 ] [ 3217, 0 ] [ 3484, -2 ] [ 3929, 1 ] [ 4285, 2 ] [ 4552, 2 ] [ 4641, -2 ] [ 4908, 0 ] [ 4997, -6 ] [ 5353, -1 ] [ 5709, -1 ] [ 6065, -1 ] [ 6332, 3 ] [ 6421, 3 ] [ 7133, 2 ] [ 7489, -1 ] [ 7756, 4 ] [ 7845, 5 ] [ 8201, -2 ] [ 8557, -1 ] [ 8824, 0 ] [ 8913, 1 ] [ 9269, 3 ] /* D = 14 (mod 89 ) [ 281, 0 ] [ 904, 0 ] [ 993, 1 ] [ 1349, 4 ] [ 1705, -1 ] [ 2328, 3 ] [ 2417, 3 ] [ 2684, 2 ] [ 2773, 0 ] [ 3129, 2 ] [ 3485, -5 ] [ 3752, -4 ] [ 3841, -2 ] [ 4108, 2 ] [ 4197, -1 ] [ 4553, -2 ] [ 4909, -1 ] [ 5176, -2 ] [ 5532, -2 ] [ 5621, 0 ] [ 5977, 2 ] [ 6333, 8 ] [ 6689, -2 ] [ 6956, 4 ] [ 7045, 2 ] [ 7401, -2 ] [ 7757, 2 ] [ 8024, 0 ] [ 8113, 0 ] [ 8380, 1 ] [ 9181, 3 ] [ 9448, 6 ] [ 9804, 1 ] [ 9893, 1 ] /* D = 15 (mod 89 ) [ 104, 2 ] [ 193, -1 ] [ 460, -1 ] [ 905, 1 ] [ 1261, -1 ] [ 1528, -1 ] [ 1884, 0 ] [ 1973, 2 ] [ 2329, -2 ] [ 2685, -2 ] [ 3041, 4 ] [ 3308, 3 ] [ 3397, 2 ] [ 4109, -2 ] [ 4376, 2 ] [ 4465, -1 ] [ 4821, -2 ] [ 5177, -2 ] [ 5533, 0 ] [ 5889, 2 ] [ 6245, 0 ] [ 6601, 0 ] [ 7224, -6 ] [ 7313, 2 ] [ 7580, -9 ] [ 7669, 2 ] [ 8648, -10 ] [ 8737, 0 ] [ 9004, 1 ] [ 9093, -2 ] [ 9449, 0 ] [ 9805, 2 ] /* D = 19 (mod 89 ) [ 197, -1 ] [ 553, 2 ] [ 1265, -1 ] [ 1532, 5 ] [ 1621, -1 ] [ 1977, -2 ] [ 2333, 3 ] [ 2689, 2 ] [ 2956, -3 ] [ 3045, -2 ] [ 3401, 2 ] [ 4024, 0 ] [ 4380, -3 ] [ 4469, 3 ] [ 5181, 0 ] [ 5448, 2 ] [ 5804, 0 ] [ 5893, 0 ] [ 6249, -2 ] [ 6605, 1 ] [ 6872, 6 ] [ 6961, 0 ] [ 7228, 2 ] [ 7673, -1 ] [ 8029, 2 ] [ 8296, 2 ] [ 8385, 5 ] [ 8652, 4 ] [ 8741, -5 ] [ 9097, -3 ] [ 9453, 4 ] [ 9809, -1 ] /* D = 23 (mod 89 ) [ 201, -1 ] [ 557, 1 ] [ 824, 1 ] [ 913, 0 ] [ 1180, -2 ] [ 1981, 0 ] [ 2248, -2 ] [ 2337, -1 ] [ 2604, 0 ] [ 2693, 4 ] [ 3049, 2 ] [ 3405, -5 ] [ 3761, -2 ] [ 4028, 7 ] [ 4117, 0 ] [ 4829, -3 ] [ 5185, 1 ] [ 5452, -2 ] [ 5541, 3 ] [ 5897, 3 ] [ 6520, -1 ] [ 6609, 3 ] [ 6965, -4 ] [ 7321, 0 ] [ 7944, -4 ] [ 8033, -1 ] [ 8389, -3 ] [ 8745, 1 ] [ 9101, 1 ] [ 9368, 6 ] [ 9724, 4 ] [ 9813, 4 ] /* D = 24 (mod 89 ) [ 24, -1 ] [ 113, 1 ] [ 380, -1 ] [ 469, -2 ] [ 1181, -1 ] [ 1448, 2 ] [ 1537, 1 ] [ 1804, 2 ] [ 1893, 3 ] [ 2249, 1 ] [ 2605, -1 ] [ 2872, 0 ] [ 3228, 1 ] [ 3317, 0 ] [ 3673, -4 ] [ 4029, -2 ] [ 4296, -4 ] [ 4385, 1 ] [ 4652, -3 ] [ 4741, 3 ] [ 5097, 1 ] [ 5453, 2 ] [ 5720, 0 ] [ 5809, -2 ] [ 6521, -1 ] [ 7144, 0 ] [ 7233, -1 ] [ 7589, -2 ] [ 7945, 0 ] [ 8301, 4 ] [ 8657, -5 ] [ 8924, 3 ] [ 9013, 0 ] [ 9992, -6 ] /* D = 26 (mod 89 ) [ 204, 1 ] [ 293, 2 ] [ 649, 2 ] [ 1005, -3 ] [ 1272, 1 ] [ 1361, -4 ] [ 1628, 2 ] [ 1717, -1 ] [ 2073, -1 ] [ 2429, 0 ] [ 2696, 0 ] [ 2785, 1 ] [ 3052, -4 ] [ 3497, -1 ] [ 3853, 3 ] [ 4120, 1 ] [ 4209, 1 ] [ 4476, 1 ] [ 4565, 2 ] [ 4921, 2 ] [ 5277, -3 ] [ 5633, 3 ] [ 5989, -1 ] [ 6701, -2 ] [ 6968, 2 ] [ 7057, 2 ] [ 7324, 0 ] [ 7413, 0 ] [ 7769, -2 ] [ 8392, 2 ] [ 8481, 1 ] [ 8837, -8 ] [ 9193, 3 ] [ 9816, -4 ] [ 9905, 0 ] /* D = 27 (mod 89 ) [ 205, -1 ] [ 472, 0 ] [ 561, -1 ] [ 917, 0 ] [ 1273, 3 ] [ 1896, 2 ] [ 1985, -1 ] [ 2252, -5 ] [ 2341, 2 ] [ 2697, -1 ] [ 3053, 2 ] [ 3320, 4 ] [ 3409, -2 ] [ 3676, -1 ] [ 3765, -5 ] [ 4121, -3 ] [ 4744, -6 ] [ 5189, -2 ] [ 5545, 0 ] [ 5901, 2 ] [ 6168, 1 ] [ 6257, 6 ] [ 6524, 4 ] [ 6613, -2 ] [ 6969, 3 ] [ 7592, -2 ] [ 7681, 1 ] [ 7948, 3 ] [ 8393, -2 ] [ 8749, 1 ] [ 9105, 0 ] [ 9372, -2 ] [ 9461, 4 ] [ 9817, -2 ] /* D = 28 (mod 89 ) [ 28, 0 ] [ 473, 1 ] [ 829, -4 ] [ 1096, -2 ] [ 1185, 0 ] [ 1541, 1 ] [ 1897, -2 ] [ 2253, -4 ] [ 2609, 1 ] [ 2876, -1 ] [ 2965, 0 ] [ 3677, 3 ] [ 3944, 0 ] [ 4033, 0 ] [ 4389, 2 ] [ 4745, 1 ] [ 5101, 3 ] [ 5368, -2 ] [ 5457, 2 ] [ 5813, 0 ] [ 6169, -1 ] [ 6792, 2 ] [ 6881, -6 ] [ 7148, -1 ] [ 7237, 2 ] [ 7593, -8 ] [ 7949, -2 ] [ 8216, 6 ] [ 8305, 4 ] [ 8572, 1 ] [ 8661, -4 ] [ 9017, -2 ] [ 9373, -4 ] [ 9640, 0 ] /* D = 29 (mod 89 ) [ 29, -1 ] [ 296, 0 ] [ 385, 0 ] [ 652, 1 ] [ 741, -1 ] [ 1097, 4 ] [ 1453, -1 ] [ 1720, -3 ] [ 2076, 1 ] [ 2165, 1 ] [ 2521, -1 ] [ 2877, 0 ] [ 3144, 2 ] [ 3233, -3 ] [ 3589, 4 ] [ 3945, -4 ] [ 4301, -3 ] [ 4568, 3 ] [ 4657, 0 ] [ 4924, 5 ] [ 5369, 0 ] [ 5992, -4 ] [ 6081, 2 ] [ 6437, 2 ] [ 6793, -2 ] [ 7149, 2 ] [ 7505, 0 ] [ 7772, -4 ] [ 7861, 2 ] [ 8573, -1 ] [ 8840, 4 ] [ 8929, -1 ] [ 9285, 1 ] [ 9641, 3 ] [ 9997, 5 ] /* D = 30 (mod 89 ) [ 653, 0 ] [ 920, -5 ] [ 1009, 0 ] [ 1276, 2 ] [ 1365, 2 ] [ 1721, 1 ] [ 2077, -1 ] [ 2344, 2 ] [ 2433, 3 ] [ 2789, -3 ] [ 3145, 0 ] [ 3768, -2 ] [ 3857, -4 ] [ 4124, 0 ] [ 4213, 3 ] [ 4569, -1 ] [ 5192, 4 ] [ 5281, -1 ] [ 5548, -1 ] [ 5637, -6 ] [ 5993, 2 ] [ 6349, 0 ] [ 6616, -1 ] [ 6972, 4 ] [ 7061, 0 ] [ 7417, 0 ] [ 7773, 9 ] [ 8040, -6 ] [ 8129, 1 ] [ 8396, -5 ] [ 8485, -1 ] [ 8841, -2 ] [ 9197, 2 ] [ 9553, -2 ] [ 9820, -3 ] /* D = 31 (mod 89 ) [ 120, 1 ] [ 209, -1 ] [ 476, -2 ] [ 565, 1 ] [ 921, 0 ] [ 1277, -1 ] [ 1544, 0 ] [ 1633, 2 ] [ 2345, 0 ] [ 2701, 2 ] [ 2968, 0 ] [ 3057, 0 ] [ 3324, 5 ] [ 3413, -4 ] [ 3769, 0 ] [ 4481, 0 ] [ 4748, 0 ] [ 4837, -2 ] [ 5549, 2 ] [ 5816, 5 ] [ 5905, -1 ] [ 6172, -6 ] [ 6261, -5 ] [ 6617, 3 ] [ 6973, 2 ] [ 7240, -4 ] [ 7329, 4 ] [ 7685, 7 ] [ 8041, 1 ] [ 8753, -8 ] [ 9020, 2 ] [ 9109, -5 ] [ 9465, -3 ] [ 9821, 2 ] /* D = 33 (mod 89 ) [ 33, 1 ] [ 389, 2 ] [ 745, -2 ] [ 1101, -2 ] [ 1457, -1 ] [ 1724, 1 ] [ 2792, -6 ] [ 2881, 1 ] [ 3148, 5 ] [ 3237, 6 ] [ 3593, 0 ] [ 3949, 2 ] [ 4216, 1 ] [ 4305, 0 ] [ 4661, -2 ] [ 5017, 5 ] [ 5640, 2 ] [ 5729, 0 ] [ 5996, -2 ] [ 6085, -1 ] [ 6441, 3 ] [ 6797, -2 ] [ 7064, 5 ] [ 7153, -3 ] [ 7420, -2 ] [ 7509, 0 ] [ 8221, -2 ] [ 8488, -2 ] [ 8844, 4 ] [ 8933, -5 ] [ 9289, 0 ] [ 9645, -8 ] [ 9912, 0 ] /* D = 35 (mod 89 ) [ 124, 1 ] [ 213, 0 ] [ 569, -1 ] [ 1192, 0 ] [ 1281, 0 ] [ 1637, 3 ] [ 1993, 1 ] [ 2616, 3 ] [ 2705, 2 ] [ 2972, 3 ] [ 3061, 2 ] [ 3417, -1 ] [ 4040, 2 ] [ 4129, -2 ] [ 4396, 0 ] [ 4485, 5 ] [ 4841, -1 ] [ 5197, 2 ] [ 5464, -1 ] [ 5820, 1 ] [ 5909, -1 ] [ 6265, 4 ] [ 6621, 0 ] [ 6888, -4 ] [ 6977, -2 ] [ 7244, -2 ] [ 7333, -1 ] [ 7689, 2 ] [ 8045, 2 ] [ 8312, -4 ] [ 8401, 1 ] [ 8668, -2 ] [ 9113, -1 ] [ 9469, 3 ] [ 9736, 2 ] /* D = 37 (mod 89 ) [ 37, 0 ] [ 393, 1 ] [ 749, 2 ] [ 1016, -1 ] [ 1105, -1 ] [ 1461, -4 ] [ 1817, 0 ] [ 2173, -3 ] [ 2440, -4 ] [ 2796, 2 ] [ 2885, 1 ] [ 3241, 2 ] [ 3597, 3 ] [ 3864, -2 ] [ 3953, 2 ] [ 4220, 4 ] [ 4309, 0 ] [ 4665, -1 ] [ 5021, 2 ] [ 5288, 6 ] [ 5377, 0 ] [ 5644, 0 ] [ 6089, -3 ] [ 6445, -1 ] [ 6712, -1 ] [ 6801, -1 ] [ 7068, -7 ] [ 7157, -10 ] [ 7513, -3 ] [ 7869, 1 ] [ 8492, 0 ] [ 8581, 3 ] [ 9293, 6 ] [ 9560, -5 ] [ 9649, 1 ] [ 9916, 4 ] /* D = 38 (mod 89 ) [ 305, -1 ] [ 572, 0 ] [ 661, 2 ] [ 1373, -2 ] [ 1640, 0 ] [ 1729, 0 ] [ 1996, -2 ] [ 2085, 0 ] [ 2441, 2 ] [ 2797, 2 ] [ 3064, 3 ] [ 3153, -2 ] [ 3865, 0 ] [ 4488, 4 ] [ 4577, 3 ] [ 4844, -2 ] [ 4933, 3 ] [ 5289, 1 ] [ 5645, -6 ] [ 5912, -3 ] [ 6001, 0 ] [ 6268, -5 ] [ 6357, 3 ] [ 7069, 2 ] [ 7336, 4 ] [ 7692, -1 ] [ 7781, 1 ] [ 8137, -4 ] [ 8493, 0 ] [ 8760, -1 ] [ 8849, 0 ] [ 9116, 1 ] [ 9205, 0 ] [ 9561, -5 ] [ 9917, 4 ] /* D = 41 (mod 89 ) [ 41, -1 ] [ 397, -1 ] [ 664, 2 ] [ 753, 1 ] [ 1020, -3 ] [ 1109, 2 ] [ 1465, 0 ] [ 1821, 4 ] [ 2177, -2 ] [ 2444, 0 ] [ 2533, -2 ] [ 3245, 2 ] [ 3512, -1 ] [ 3601, 1 ] [ 3868, -1 ] [ 3957, -2 ] [ 4313, -1 ] [ 4669, -2 ] [ 4936, 0 ] [ 5381, -5 ] [ 5737, 1 ] [ 6360, -3 ] [ 6449, 0 ] [ 6716, -3 ] [ 6805, -2 ] [ 7161, 2 ] [ 7517, 6 ] [ 7784, 4 ] [ 7873, 2 ] [ 8140, -2 ] [ 8229, -2 ] [ 8585, 5 ] [ 8941, -1 ] [ 9208, -5 ] [ 9564, 0 ] /* D = 43 (mod 89 ) [ 221, 1 ] [ 488, -2 ] [ 577, 1 ] [ 844, 0 ] [ 933, -3 ] [ 1289, 1 ] [ 1645, -2 ] [ 1912, -3 ] [ 2001, -1 ] [ 2357, 2 ] [ 2713, 1 ] [ 3336, 0 ] [ 3692, 2 ] [ 3781, -1 ] [ 4137, 2 ] [ 4493, 1 ] [ 4760, 4 ] [ 4849, -1 ] [ 5116, -1 ] [ 5205, 3 ] [ 5561, -6 ] [ 5917, 1 ] [ 6184, -2 ] [ 6540, 3 ] [ 6629, 2 ] [ 6985, 5 ] [ 7341, 5 ] [ 7608, -3 ] [ 7697, 0 ] [ 7964, 0 ] [ 8053, -6 ] [ 8409, -2 ] [ 8765, 2 ] [ 9032, -2 ] [ 9121, 0 ] [ 9388, 0 ] [ 9833, -7 ] /* D = 46 (mod 89 ) [ 313, 1 ] [ 669, -1 ] [ 1292, -3 ] [ 1381, 2 ] [ 2093, -2 ] [ 2360, 0 ] [ 2449, 0 ] [ 2716, -2 ] [ 2805, -1 ] [ 3161, 1 ] [ 3517, 1 ] [ 3784, 0 ] [ 3873, -3 ] [ 4229, -1 ] [ 4585, -2 ] [ 5208, 4 ] [ 5297, 7 ] [ 5564, -2 ] [ 5653, 6 ] [ 6009, -4 ] [ 6365, -1 ] [ 6632, -4 ] [ 6721, 0 ] [ 6988, 2 ] [ 7077, -2 ] [ 7433, -2 ] [ 7789, 0 ] [ 8056, 7 ] [ 8412, -7 ] [ 8501, -6 ] [ 8857, -3 ] [ 9213, 4 ] [ 9480, 2 ] [ 9569, 2 ] [ 9836, 1 ] /* D = 48 (mod 89 ) [ 137, 0 ] [ 493, -3 ] [ 760, 1 ] [ 849, 2 ] [ 1205, 3 ] [ 1561, 0 ] [ 2184, -4 ] [ 2273, 1 ] [ 2540, 3 ] [ 2629, -1 ] [ 2985, -3 ] [ 3341, -1 ] [ 3608, 2 ] [ 3697, -1 ] [ 3964, -3 ] [ 4053, 4 ] [ 4409, -2 ] [ 4765, 2 ] [ 5032, 0 ] [ 5388, -3 ] [ 5477, -2 ] [ 5833, 0 ] [ 6189, -3 ] [ 6456, 3 ] [ 6545, -2 ] [ 6812, 0 ] [ 6901, 1 ] [ 7257, 8 ] [ 7613, -3 ] [ 7880, 4 ] [ 7969, -1 ] [ 8236, 0 ] [ 8681, 1 ] [ 9037, 4 ] [ 9304, 1 ] [ 9393, -7 ] [ 9660, 0 ] [ 9749, 5 ] /* D = 51 (mod 89 ) [ 140, -2 ] [ 229, 0 ] [ 941, 0 ] [ 1208, 2 ] [ 1297, 1 ] [ 1564, 3 ] [ 1653, 1 ] [ 2365, -3 ] [ 2632, 0 ] [ 2721, 1 ] [ 3077, 1 ] [ 3433, 4 ] [ 4145, 0 ] [ 4412, 0 ] [ 4501, 0 ] [ 4857, 1 ] [ 5213, 0 ] [ 5480, -2 ] [ 5569, -1 ] [ 5836, 1 ] [ 6281, -3 ] [ 6637, -2 ] [ 6904, -1 ] [ 7349, 4 ] [ 7705, 1 ] [ 8061, 1 ] [ 8328, 6 ] [ 8417, -5 ] [ 8684, 0 ] [ 8773, 0 ] [ 9129, 0 ] [ 9485, 0 ] [ 9752, -3 ] [ 9841, 3 ] /* D = 52 (mod 89 ) [ 141, -1 ] [ 408, 1 ] [ 497, 0 ] [ 764, -1 ] [ 853, 1 ] [ 1209, 1 ] [ 1565, -1 ] [ 1832, -6 ] [ 1921, 3 ] [ 2188, 0 ] [ 2633, 0 ] [ 3256, 2 ] [ 3345, -3 ] [ 3612, 2 ] [ 3701, -6 ] [ 4057, 2 ] [ 4413, 2 ] [ 4769, -1 ] [ 5036, 3 ] [ 5837, 5 ] [ 6104, 0 ] [ 6193, -3 ] [ 6460, -3 ] [ 6549, 2 ] [ 6905, -4 ] [ 7261, 2 ] [ 7528, 0 ] [ 7617, 2 ] [ 7973, 4 ] [ 8329, -4 ] [ 8952, -1 ] [ 9041, 1 ] [ 9308, 8 ] [ 9397, -4 ] [ 9753, 0 ] /* D = 54 (mod 89 ) [ 232, 0 ] [ 321, -2 ] [ 677, 2 ] [ 1033, 0 ] [ 1389, 1 ] [ 1745, 0 ] [ 2012, -4 ] [ 2101, 3 ] [ 2813, -5 ] [ 3080, 4 ] [ 3169, 0 ] [ 3436, 4 ] [ 3881, 0 ] [ 4237, 1 ] [ 4504, -1 ] [ 4593, 2 ] [ 5305, 1 ] [ 5928, -6 ] [ 6017, 2 ] [ 6284, -1 ] [ 6373, 5 ] [ 6729, 0 ] [ 7085, -5 ] [ 7352, -3 ] [ 7441, -2 ] [ 7708, 0 ] [ 7797, -1 ] [ 8153, 0 ] [ 8509, -1 ] [ 8776, 0 ] [ 9132, -1 ] [ 9221, 1 ] [ 9577, 0 ] [ 9933, 0 ] /* D = 56 (mod 89 ) [ 56, 0 ] [ 145, -1 ] [ 412, 1 ] [ 501, 2 ] [ 857, -2 ] [ 1213, 1 ] [ 1480, 4 ] [ 1569, 1 ] [ 2281, -1 ] [ 2993, -1 ] [ 3260, -3 ] [ 3349, 1 ] [ 3705, 3 ] [ 4061, -3 ] [ 4328, -4 ] [ 4417, 4 ] [ 4684, 0 ] [ 4773, -6 ] [ 5129, 3 ] [ 5485, -2 ] [ 5752, 5 ] [ 6108, 3 ] [ 6197, -1 ] [ 6553, -2 ] [ 7176, -4 ] [ 7265, 3 ] [ 7532, -2 ] [ 7621, 3 ] [ 7977, -1 ] [ 8333, 1 ] [ 8689, 1 ] [ 8956, 2 ] [ 9401, 2 ] [ 9757, -5 ] /* D = 58 (mod 89 ) [ 236, -2 ] [ 681, -1 ] [ 1037, 1 ] [ 1304, 3 ] [ 1393, -2 ] [ 1660, 2 ] [ 1749, 3 ] [ 2105, 0 ] [ 2461, 0 ] [ 2728, -2 ] [ 3084, -3 ] [ 3173, -2 ] [ 3529, 1 ] [ 3885, -2 ] [ 4152, -3 ] [ 4241, 2 ] [ 4597, -3 ] [ 4953, -1 ] [ 5309, -1 ] [ 5576, 2 ] [ 5665, -1 ] [ 5932, -1 ] [ 6377, 2 ] [ 6733, 2 ] [ 7089, 0 ] [ 7356, 3 ] [ 7445, 3 ] [ 7801, -1 ] [ 8157, 1 ] [ 8513, -1 ] [ 8780, 1 ] [ 9581, -2 ] [ 9848, -1 ] [ 9937, 3 ] /* D = 59 (mod 89 ) [ 237, -2 ] [ 593, 2 ] [ 860, -1 ] [ 949, -1 ] [ 1661, 0 ] [ 1928, 2 ] [ 2017, -1 ] [ 2284, 1 ] [ 2373, 4 ] [ 2729, -1 ] [ 3085, 2 ] [ 3352, 1 ] [ 3441, -2 ] [ 3797, -6 ] [ 4153, -1 ] [ 4776, 0 ] [ 4865, 2 ] [ 5132, 2 ] [ 5221, 5 ] [ 5933, 2 ] [ 6289, -5 ] [ 6556, 0 ] [ 6645, -1 ] [ 7001, 2 ] [ 7357, 2 ] [ 7624, -2 ] [ 7980, -2 ] [ 8069, 2 ] [ 8781, 4 ] [ 9048, 6 ] [ 9137, 4 ] [ 9404, 1 ] [ 9493, 1 ] /* D = 60 (mod 89 ) [ 60, -1 ] [ 149, 0 ] [ 505, -1 ] [ 861, 2 ] [ 1128, 0 ] [ 1217, -1 ] [ 1484, 4 ] [ 1929, 0 ] [ 2285, 2 ] [ 2552, 2 ] [ 2641, 0 ] [ 2908, -3 ] [ 3353, 0 ] [ 3709, -1 ] [ 3976, 0 ] [ 4065, 1 ] [ 4421, -1 ] [ 4777, 2 ] [ 5133, -2 ] [ 5489, 0 ] [ 5756, -2 ] [ 5845, -2 ] [ 6557, 0 ] [ 6824, 4 ] [ 6913, 1 ] [ 7180, -4 ] [ 7269, -1 ] [ 7981, -1 ] [ 8248, 0 ] [ 8337, 0 ] [ 8693, 0 ] [ 9049, -1 ] [ 9672, 0 ] [ 9761, 3 ] /* D = 61 (mod 89 ) [ 61, -1 ] [ 328, -2 ] [ 417, -2 ] [ 773, 4 ] [ 1129, 0 ] [ 1752, 1 ] [ 1841, 0 ] [ 2108, 3 ] [ 2553, 2 ] [ 2909, -1 ] [ 3176, 0 ] [ 3265, 2 ] [ 3532, 1 ] [ 3621, 0 ] [ 3977, -3 ] [ 4333, -2 ] [ 4956, 0 ] [ 5045, -2 ] [ 5401, 1 ] [ 5757, -3 ] [ 6024, 0 ] [ 6113, 1 ] [ 6380, -6 ] [ 6469, 1 ] [ 7181, 0 ] [ 7537, 2 ] [ 7804, 0 ] [ 8249, 1 ] [ 8605, 1 ] [ 8872, -2 ] [ 8961, 1 ] [ 9228, -3 ] [ 9673, -1 ] /* D = 62 (mod 89 ) [ 329, 0 ] [ 685, -2 ] [ 952, 2 ] [ 1041, 3 ] [ 1308, -5 ] [ 1397, 1 ] [ 1753, 0 ] [ 2109, -2 ] [ 2465, -1 ] [ 2732, 1 ] [ 2821, 0 ] [ 3533, -3 ] [ 3889, 1 ] [ 4156, 4 ] [ 4245, 8 ] [ 4601, -2 ] [ 4957, 0 ] [ 5224, -2 ] [ 5313, -4 ] [ 5669, -1 ] [ 6648, 5 ] [ 6737, -2 ] [ 7004, -1 ] [ 7093, 3 ] [ 7449, -1 ] [ 7805, 6 ] [ 8072, -2 ] [ 8161, 0 ] [ 8517, -4 ] [ 8873, 0 ] [ 9229, 1 ] [ 9496, -2 ] [ 9852, 4 ] [ 9941, 1 ] /* D = 63 (mod 89 ) [ 152, -1 ] [ 241, 1 ] [ 508, 3 ] [ 597, 1 ] [ 953, -2 ] [ 1309, 0 ] [ 1576, 2 ] [ 1932, -2 ] [ 2021, -3 ] [ 2377, -1 ] [ 2733, 1 ] [ 3089, 0 ] [ 3356, -3 ] [ 3445, -1 ] [ 3801, 2 ] [ 4157, 7 ] [ 4424, 4 ] [ 4513, 1 ] [ 4780, 5 ] [ 5581, 0 ] [ 5848, -7 ] [ 5937, 0 ] [ 6204, 0 ] [ 6293, 0 ] [ 6649, 5 ] [ 7005, -6 ] [ 7361, -5 ] [ 7628, 3 ] [ 7717, -7 ] [ 8429, 1 ] [ 8696, -2 ] [ 8785, 2 ] [ 9052, -5 ] [ 9141, 3 ] [ 9497, 1 ] [ 9853, 0 ] /* D = 65 (mod 89 ) [ 65, 1 ] [ 332, 0 ] [ 421, 0 ] [ 777, 2 ] [ 1133, -3 ] [ 1489, -1 ] [ 1756, -1 ] [ 2201, -2 ] [ 2557, 0 ] [ 2824, 6 ] [ 2913, 1 ] [ 3180, -1 ] [ 3269, 2 ] [ 3981, 6 ] [ 4337, 1 ] [ 4604, -1 ] [ 5405, -1 ] [ 5672, 0 ] [ 5761, 0 ] [ 6028, 0 ] [ 6117, -2 ] [ 6473, 1 ] [ 6829, -2 ] [ 7096, -3 ] [ 7185, -5 ] [ 7541, 0 ] [ 7897, 0 ] [ 8520, 2 ] [ 8609, -2 ] [ 8876, -4 ] [ 8965, 1 ] [ 9321, -3 ] [ 9677, -3 ] [ 9944, 0 ] /* D = 66 (mod 89 ) [ 689, 1 ] [ 956, -1 ] [ 1045, -1 ] [ 1401, 0 ] [ 1757, -4 ] [ 2024, 2 ] [ 2113, 2 ] [ 2380, 0 ] [ 2469, 4 ] [ 3181, 0 ] [ 3448, -1 ] [ 3804, -5 ] [ 3893, 2 ] [ 4249, 0 ] [ 4605, -6 ] [ 4872, 4 ] [ 5228, -3 ] [ 5317, 2 ] [ 5673, 3 ] [ 6029, 0 ] [ 6296, 1 ] [ 6385, -1 ] [ 6652, 3 ] [ 7097, -8 ] [ 7453, 7 ] [ 7720, -2 ] [ 7809, -2 ] [ 8076, 7 ] [ 8165, 6 ] [ 8521, 0 ] [ 8877, 1 ] [ 9233, 0 ] [ 9589, -3 ] /* D = 70 (mod 89 ) [ 248, 3 ] [ 337, 0 ] [ 604, -2 ] [ 1049, 1 ] [ 1405, -4 ] [ 1672, -4 ] [ 1761, 1 ] [ 2117, 5 ] [ 2473, 2 ] [ 2829, -1 ] [ 3452, -1 ] [ 3541, -2 ] [ 4253, 2 ] [ 4520, 6 ] [ 4609, 3 ] [ 4876, -1 ] [ 4965, -1 ] [ 5321, -1 ] [ 5677, 0 ] [ 5944, 1 ] [ 6033, -1 ] [ 6389, 6 ] [ 6745, 0 ] [ 7368, 4 ] [ 7457, 1 ] [ 7724, -5 ] [ 7813, 1 ] [ 8169, 0 ] [ 8792, -4 ] [ 8881, 4 ] [ 9148, -1 ] [ 9237, -1 ] [ 9593, -1 ] [ 9949, -2 ] /* D = 74 (mod 89 ) [ 341, 3 ] [ 697, -1 ] [ 1320, 2 ] [ 1409, -2 ] [ 1676, 1 ] [ 1765, -2 ] [ 2121, -2 ] [ 2477, -2 ] [ 2833, 2 ] [ 3189, 1 ] [ 3545, 5 ] [ 3901, 2 ] [ 4168, 0 ] [ 4524, 2 ] [ 4613, 2 ] [ 4969, 2 ] [ 5592, 2 ] [ 5681, 1 ] [ 5948, -3 ] [ 6037, 0 ] [ 6393, 1 ] [ 6749, -3 ] [ 7016, 0 ] [ 7372, 3 ] [ 7817, -4 ] [ 8173, -1 ] [ 8440, -2 ] [ 8529, 0 ] [ 8796, -3 ] [ 8885, 3 ] [ 9241, -1 ] [ 9597, 4 ] [ 9953, 0 ] /* D = 75 (mod 89 ) [ 253, -1 ] [ 520, 0 ] [ 609, 0 ] [ 876, 1 ] [ 965, 3 ] [ 1321, -1 ] [ 1677, -1 ] [ 2033, 0 ] [ 2389, 0 ] [ 3101, -2 ] [ 3368, -2 ] [ 3457, -2 ] [ 3813, 5 ] [ 4169, 3 ] [ 4792, -3 ] [ 4881, -1 ] [ 5237, -5 ] [ 5593, -2 ] [ 6216, 0 ] [ 6305, 3 ] [ 6572, 5 ] [ 6661, 2 ] [ 7017, 1 ] [ 7373, -3 ] [ 7640, -1 ] [ 7729, 2 ] [ 7996, 1 ] [ 8441, 0 ] [ 8797, 3 ] [ 9064, 6 ] [ 9420, 10 ] [ 9509, 0 ] [ 9865, 0 ] /* D = 76 (mod 89 ) [ 76, 1 ] [ 165, 1 ] [ 521, -1 ] [ 877, 1 ] [ 1144, 0 ] [ 1589, -2 ] [ 1945, -2 ] [ 2301, 0 ] [ 2568, 2 ] [ 2657, -1 ] [ 2924, -3 ] [ 3013, 5 ] [ 3369, 1 ] [ 3992, 0 ] [ 4081, 2 ] [ 4348, 2 ] [ 4793, 3 ] [ 5149, 1 ] [ 5416, -2 ] [ 5505, -2 ] [ 5772, -2 ] [ 5861, -1 ] [ 6217, -1 ] [ 6573, 6 ] [ 7196, 2 ] [ 7285, -5 ] [ 7997, -7 ] [ 8264, 2 ] [ 8353, -2 ] [ 8620, -7 ] [ 8709, -1 ] [ 9421, 1 ] [ 9688, -2 ] [ 9777, 1 ] /* D = 77 (mod 89 ) [ 77, 2 ] [ 344, 1 ] [ 433, -1 ] [ 789, 0 ] [ 1145, -2 ] [ 1501, -2 ] [ 1768, 2 ] [ 1857, 1 ] [ 2213, 1 ] [ 2569, -2 ] [ 3192, -4 ] [ 3281, 3 ] [ 3548, 7 ] [ 3637, -1 ] [ 4349, 0 ] [ 4616, 2 ] [ 4705, -2 ] [ 4972, -4 ] [ 5061, 2 ] [ 5417, 5 ] [ 5773, 3 ] [ 6040, -2 ] [ 6396, 0 ] [ 6485, -7 ] [ 6841, 1 ] [ 7197, -1 ] [ 7464, 2 ] [ 7553, 0 ] [ 7820, 1 ] [ 7909, -1 ] [ 8265, -5 ] [ 8621, -4 ] [ 8888, -8 ] [ 8977, -1 ] [ 9244, -2 ] [ 9689, 1 ] /* D = 82 (mod 89 ) [ 349, -2 ] [ 616, 0 ] [ 705, 3 ] [ 1061, 1 ] [ 1417, -1 ] [ 2040, -5 ] [ 2129, 0 ] [ 2396, -1 ] [ 2485, -4 ] [ 2841, 0 ] [ 3197, 2 ] [ 3464, 6 ] [ 3553, 1 ] [ 3820, -1 ] [ 3909, 2 ] [ 4265, -1 ] [ 4621, 0 ] [ 4888, 4 ] [ 5244, 1 ] [ 5333, 5 ] [ 5689, -1 ] [ 6045, -1 ] [ 6312, 4 ] [ 6401, -2 ] [ 6668, -6 ] [ 6757, 0 ] [ 7113, 0 ] [ 7469, 0 ] [ 7736, -5 ] [ 8537, 3 ] [ 8893, 1 ] [ 9160, -2 ] [ 9249, -1 ] [ 9516, 4 ] [ 9605, -1 ] [ 9961, 4 ] /* D = 83 (mod 89 ) [ 172, -1 ] [ 617, 0 ] [ 973, -2 ] [ 1240, -1 ] [ 1329, -3 ] [ 1596, 4 ] [ 1685, 8 ] [ 2041, 2 ] [ 2397, -1 ] [ 2753, -2 ] [ 3020, 2 ] [ 3109, -1 ] [ 3821, -5 ] [ 4088, -6 ] [ 4177, 3 ] [ 4444, -4 ] [ 4533, 0 ] [ 4889, -3 ] [ 5245, 1 ] [ 5512, 4 ] [ 5601, 3 ] [ 5957, -2 ] [ 6313, 0 ] [ 7292, 3 ] [ 7737, 2 ] [ 8093, -1 ] [ 8360, 6 ] [ 8449, 4 ] [ 8716, 1 ] [ 8805, -5 ] [ 9161, 1 ] [ 9517, -2 ] [ 9784, -1 ] /* D = 86 (mod 89 ) [ 264, 0 ] [ 353, 2 ] [ 620, -1 ] [ 709, 1 ] [ 1065, 0 ] [ 1688, -2 ] [ 1777, -3 ] [ 2044, 2 ] [ 2489, 1 ] [ 2845, 3 ] [ 3112, -2 ] [ 3201, 1 ] [ 3557, 3 ] [ 3913, -2 ] [ 4269, 6 ] [ 4892, 7 ] [ 4981, 4 ] [ 5693, -6 ] [ 5960, -4 ] [ 6049, -2 ] [ 6316, 2 ] [ 6405, -2 ] [ 6761, -1 ] [ 7117, 0 ] [ 7384, -2 ] [ 7473, -1 ] [ 7829, -4 ] [ 8185, 1 ] [ 8808, -2 ] [ 8897, -2 ] [ 9164, 2 ] [ 9253, 2 ] [ 9609, 1 ] [ 9965, 1 ] Total time: 49.180 seconds Goodbye!