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, -1]); /* 101A */ wp=ellrootno(e,p); /* 1 */ mxl=qsetprime(101); Is=qidcl(mxl); /* # = 9 */ f=vector(8,i,ellap(e,prime(i))); /* [0, -2, -1, -2, -2, 1, 3, -5] */ ef=get_ef(mxl,f,Is); /* [0, -1/2, 0, 1/2, 0, 0, 0, 0, 0]~ */ ht=hprod(ef,ef); /* 1/2 */ b0=qzero_modp(19); /* [0, 1, 2, 1], norm = 608 */ Qs=vector(#Is,i,qtheta_lp(Is[i],b0,-19,101)); 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 = 2 (mod 101 ) [ 204, -1 ] [ 305, -1 ] [ 709, 0 ] [ 1113, -2 ] [ 1416, -2 ] [ 1517, 4 ] [ 1820, 6 ] [ 1921, 0 ] [ 2729, 1 ] [ 3032, 4 ] [ 3133, -1 ] [ 3436, -3 ] [ 3941, 2 ] [ 4345, -2 ] [ 4648, -2 ] [ 4749, -3 ] [ 5052, 3 ] [ 5153, 0 ] [ 5557, -3 ] [ 5961, -1 ] [ 6365, 2 ] [ 6668, -4 ] [ 6769, 0 ] [ 7577, 7 ] [ 7880, -9 ] [ 7981, 0 ] [ 8284, 2 ] [ 8385, -2 ] [ 8789, 2 ] [ 9193, -1 ] [ 9496, 1 ] [ 9597, 0 ] /* D = 3 (mod 101 ) [ 104, -1 ] [ 205, -1 ] [ 508, -1 ] [ 609, 0 ] [ 1013, -2 ] [ 1417, 0 ] [ 1720, 0 ] [ 1821, 1 ] [ 2629, 0 ] [ 3336, 0 ] [ 3437, -4 ] [ 3740, 6 ] [ 3841, 1 ] [ 4245, 0 ] [ 4649, 0 ] [ 4952, -9 ] [ 5053, 3 ] [ 5356, -3 ] [ 5457, -1 ] [ 5861, -1 ] [ 6265, 0 ] [ 6568, 2 ] [ 6972, -6 ] [ 7073, -6 ] [ 7477, -3 ] [ 7881, -2 ] [ 8184, -6 ] [ 8285, 2 ] [ 8588, -4 ] [ 8689, 1 ] [ 9093, 2 ] [ 9497, -2 ] [ 9901, -1 ] /* D = 7 (mod 101 ) [ 209, 2 ] [ 613, 2 ] [ 1320, 2 ] [ 1724, -4 ] [ 2229, -1 ] [ 2633, -2 ] [ 2936, -5 ] [ 3037, -3 ] [ 3340, 1 ] [ 3441, 0 ] [ 3845, -4 ] [ 4249, 0 ] [ 4552, -1 ] [ 4956, 4 ] [ 5057, -3 ] [ 5461, 2 ] [ 5865, 7 ] [ 6168, 6 ] [ 6269, -4 ] [ 6572, 3 ] [ 6673, 1 ] [ 7077, 0 ] [ 7481, 4 ] [ 7784, 4 ] [ 7885, 2 ] [ 8188, 0 ] [ 8693, 1 ] [ 9097, -4 ] [ 9501, 1 ] [ 9804, 2 ] [ 9905, 0 ] /* D = 8 (mod 101 ) [ 8, 1 ] [ 109, 0 ] [ 412, -1 ] [ 917, -2 ] [ 1321, -1 ] [ 1624, -2 ] [ 2129, -1 ] [ 2533, -3 ] [ 2937, -2 ] [ 3341, 1 ] [ 3644, -1 ] [ 3745, 0 ] [ 4553, 5 ] [ 4856, -1 ] [ 4957, -2 ] [ 5260, -1 ] [ 5361, 0 ] [ 5765, 2 ] [ 6169, 3 ] [ 6472, 2 ] [ 6573, 2 ] [ 6977, -2 ] [ 8088, 4 ] [ 8189, -2 ] [ 8492, -10 ] [ 8593, 0 ] [ 8997, 3 ] [ 9401, -4 ] [ 9704, 1 ] [ 9805, 0 ] /* D = 10 (mod 101 ) [ 313, 1 ] [ 616, 2 ] [ 717, -1 ] [ 1020, 3 ] [ 1121, -1 ] [ 1929, 3 ] [ 2333, -2 ] [ 2636, -3 ] [ 2737, 0 ] [ 3545, -4 ] [ 3848, 2 ] [ 3949, 0 ] [ 4252, -1 ] [ 4353, 2 ] [ 4757, -4 ] [ 5161, -2 ] [ 5464, 0 ] [ 5565, 2 ] [ 5969, -5 ] [ 6373, 2 ] [ 7080, 6 ] [ 7181, 4 ] [ 7484, 7 ] [ 7585, 2 ] [ 7989, 2 ] [ 8393, -4 ] [ 8696, -2 ] [ 8797, -3 ] [ 9201, 3 ] [ 9605, 6 ] /* D = 11 (mod 101 ) [ 213, 1 ] [ 617, -2 ] [ 920, 3 ] [ 1021, 3 ] [ 1324, 1 ] [ 1829, 3 ] [ 2233, -2 ] [ 2536, 3 ] [ 3041, -2 ] [ 3445, 1 ] [ 3849, -3 ] [ 4152, -2 ] [ 4253, -2 ] [ 4556, -6 ] [ 4657, 1 ] [ 5061, -2 ] [ 5465, 2 ] [ 5768, 2 ] [ 5869, 1 ] [ 6172, 1 ] [ 6677, -6 ] [ 7081, 2 ] [ 7384, 3 ] [ 7485, 5 ] [ 7788, -2 ] [ 8293, -1 ] [ 8697, 6 ] [ 9101, 0 ] [ 9404, 8 ] [ 9505, 0 ] /* D = 12 (mod 101 ) [ 12, -1 ] [ 113, 0 ] [ 517, -2 ] [ 921, -1 ] [ 1628, 0 ] [ 1729, 2 ] [ 2537, 4 ] [ 2840, 5 ] [ 2941, 2 ] [ 3244, 0 ] [ 3345, -2 ] [ 3749, 1 ] [ 4153, 1 ] [ 4456, -2 ] [ 5365, 2 ] [ 6072, -2 ] [ 6173, -6 ] [ 6476, 1 ] [ 6577, -2 ] [ 6981, -2 ] [ 7385, 6 ] [ 7789, -2 ] [ 8193, 1 ] [ 8597, 2 ] [ 9001, -3 ] [ 9304, 1 ] [ 9708, -10 ] [ 9809, -2 ] /* D = 15 (mod 101 ) [ 217, 2 ] [ 520, 1 ] [ 924, 2 ] [ 1429, -2 ] [ 1833, 1 ] [ 2136, -4 ] [ 2237, -3 ] [ 2540, -7 ] [ 2641, 1 ] [ 3045, 0 ] [ 3449, -3 ] [ 3752, -2 ] [ 3853, -1 ] [ 4156, 1 ] [ 4661, -3 ] [ 5065, 0 ] [ 5368, -2 ] [ 5469, 3 ] [ 5772, 0 ] [ 5873, 6 ] [ 6277, -1 ] [ 6681, 3 ] [ 7085, 0 ] [ 7388, 7 ] [ 7489, 2 ] [ 8297, -2 ] [ 8701, 0 ] [ 9004, 2 ] [ 9105, -3 ] [ 9509, 4 ] [ 9913, 2 ] /* D = 18 (mod 101 ) [ 220, 2 ] [ 321, 1 ] [ 1129, 1 ] [ 1432, 0 ] [ 1533, -2 ] [ 1937, -5 ] [ 2341, 0 ] [ 3048, 0 ] [ 3149, -2 ] [ 3452, -2 ] [ 3553, 2 ] [ 3957, 2 ] [ 4664, 2 ] [ 4765, 3 ] [ 5068, -2 ] [ 5169, -1 ] [ 5573, -4 ] [ 5977, -2 ] [ 6280, 3 ] [ 6684, 4 ] [ 6785, 7 ] [ 7189, -4 ] [ 7593, 2 ] [ 7896, -2 ] [ 7997, 6 ] [ 8401, 2 ] [ 8805, 1 ] [ 9209, -2 ] [ 9512, -6 ] [ 9613, -2 ] [ 9916, 2 ] /* D = 26 (mod 101 ) [ 329, -2 ] [ 632, -1 ] [ 733, -2 ] [ 1036, -2 ] [ 1137, 2 ] [ 1541, 2 ] [ 1945, 1 ] [ 2248, 1 ] [ 2652, 3 ] [ 2753, -3 ] [ 3157, 2 ] [ 3561, 5 ] [ 3864, 2 ] [ 3965, 1 ] [ 4268, -6 ] [ 4369, 3 ] [ 4773, -4 ] [ 5177, 3 ] [ 5480, -1 ] [ 5581, -1 ] [ 5884, -1 ] [ 6389, 0 ] [ 6793, -3 ] [ 7096, -2 ] [ 7197, 0 ] [ 7601, -6 ] [ 8005, -3 ] [ 8409, -3 ] [ 8813, 2 ] [ 9116, -2 ] [ 9217, 2 ] /* D = 27 (mod 101 ) [ 229, 1 ] [ 633, 3 ] [ 1037, -1 ] [ 1340, 2 ] [ 1441, 0 ] [ 2249, 0 ] [ 2552, -4 ] [ 2653, -2 ] [ 2956, 0 ] [ 3057, -3 ] [ 3461, 1 ] [ 3865, -2 ] [ 4168, 1 ] [ 4269, -4 ] [ 4673, 6 ] [ 5077, 2 ] [ 5784, 2 ] [ 5885, 4 ] [ 6188, 8 ] [ 6289, 1 ] [ 6693, 0 ] [ 7097, -8 ] [ 7501, 2 ] [ 7804, 2 ] [ 7905, 3 ] [ 8309, 4 ] [ 8713, 4 ] [ 9420, -1 ] [ 9521, -3 ] /* D = 28 (mod 101 ) [ 28, 0 ] [ 129, 0 ] [ 533, -1 ] [ 937, 1 ] [ 1240, 1 ] [ 1644, 1 ] [ 1745, -2 ] [ 2149, 0 ] [ 2553, 0 ] [ 2856, 2 ] [ 2957, 3 ] [ 3260, 1 ] [ 3361, 3 ] [ 3765, -1 ] [ 4169, 0 ] [ 4472, 6 ] [ 4573, -2 ] [ 4876, 1 ] [ 5381, -2 ] [ 5785, 0 ] [ 6088, 2 ] [ 6189, 3 ] [ 6492, 1 ] [ 6593, -2 ] [ 6997, 1 ] [ 7401, -1 ] [ 7805, -4 ] [ 8108, -3 ] [ 8209, 0 ] [ 9017, 1 ] [ 9320, -2 ] [ 9421, 1 ] [ 9724, 0 ] /* D = 29 (mod 101 ) [ 29, 1 ] [ 332, 4 ] [ 433, 1 ] [ 1241, 1 ] [ 1544, 1 ] [ 1645, -2 ] [ 1948, -2 ] [ 2049, -4 ] [ 2453, -2 ] [ 2857, -2 ] [ 3160, -1 ] [ 3261, -2 ] [ 3665, 2 ] [ 4069, -3 ] [ 4776, -2 ] [ 4877, 8 ] [ 5180, 6 ] [ 5281, 1 ] [ 5685, 2 ] [ 6089, 0 ] [ 6392, 7 ] [ 6493, -2 ] [ 6796, 2 ] [ 7705, 0 ] [ 8008, -2 ] [ 8412, 7 ] [ 8513, -2 ] [ 8917, 2 ] [ 9321, -1 ] [ 9624, 2 ] /* D = 32 (mod 101 ) [ 133, 0 ] [ 537, 2 ] [ 840, 2 ] [ 941, -2 ] [ 1244, -1 ] [ 1345, 0 ] [ 1749, 0 ] [ 2153, 2 ] [ 2456, -3 ] [ 2557, -1 ] [ 2860, -2 ] [ 3365, -5 ] [ 3769, -1 ] [ 4072, 2 ] [ 4173, 3 ] [ 4476, 1 ] [ 4577, -1 ] [ 4981, 0 ] [ 5385, -5 ] [ 5789, -2 ] [ 6092, -3 ] [ 6193, 0 ] [ 7001, 1 ] [ 7304, 4 ] [ 7405, 5 ] [ 7708, 3 ] [ 7809, -1 ] [ 8213, -2 ] [ 8617, 0 ] [ 8920, -4 ] [ 9021, 2 ] [ 9829, 2 ] /* D = 34 (mod 101 ) [ 236, -1 ] [ 337, -1 ] [ 741, -1 ] [ 1145, -1 ] [ 1448, 3 ] [ 1549, -2 ] [ 1852, -1 ] [ 2357, 1 ] [ 2761, 2 ] [ 3064, 2 ] [ 3165, 1 ] [ 3569, -4 ] [ 3973, -1 ] [ 4377, -1 ] [ 4781, 4 ] [ 5084, -1 ] [ 5185, 1 ] [ 5993, 3 ] [ 6296, -1 ] [ 6397, -4 ] [ 6801, -2 ] [ 7205, -2 ] [ 7609, 0 ] [ 7912, -2 ] [ 8013, -1 ] [ 8417, -4 ] [ 8821, 0 ] [ 9528, 4 ] [ 9629, 2 ] [ 9932, -6 ] /* D = 35 (mod 101 ) [ 136, -1 ] [ 237, -1 ] [ 641, -2 ] [ 1045, 0 ] [ 1752, 2 ] [ 1853, 4 ] [ 2257, 2 ] [ 2661, 2 ] [ 3065, 0 ] [ 3368, 1 ] [ 3469, 1 ] [ 3772, 7 ] [ 3873, -1 ] [ 4277, 4 ] [ 4681, 2 ] [ 4984, 2 ] [ 5388, -1 ] [ 5489, -2 ] [ 5893, 0 ] [ 6297, 2 ] [ 6701, 0 ] [ 7004, 1 ] [ 7509, -3 ] [ 7913, -1 ] [ 8216, 1 ] [ 8317, 1 ] [ 8620, -6 ] [ 9529, 0 ] [ 9832, 0 ] [ 9933, -4 ] /* D = 38 (mod 101 ) [ 341, 2 ] [ 745, -1 ] [ 1048, 1 ] [ 1149, -2 ] [ 1553, 1 ] [ 1957, -1 ] [ 2361, -1 ] [ 2765, 2 ] [ 3068, 5 ] [ 3169, -2 ] [ 3977, 0 ] [ 4280, 7 ] [ 4381, 1 ] [ 4684, -3 ] [ 4785, -2 ] [ 5189, 6 ] [ 5593, 0 ] [ 5896, 2 ] [ 5997, -3 ] [ 6401, 0 ] [ 6805, 0 ] [ 7512, 0 ] [ 7613, 5 ] [ 7916, 1 ] [ 8017, 0 ] [ 8421, -2 ] [ 9128, -4 ] [ 9229, -2 ] [ 9532, 5 ] /* D = 39 (mod 101 ) [ 140, 0 ] [ 241, -1 ] [ 645, 2 ] [ 1049, 0 ] [ 1453, -1 ] [ 1756, -1 ] [ 1857, -1 ] [ 2261, 2 ] [ 2665, -3 ] [ 2968, -4 ] [ 3372, 3 ] [ 3473, 0 ] [ 3877, 4 ] [ 4281, -2 ] [ 4584, -4 ] [ 4685, -1 ] [ 4988, -4 ] [ 5089, 0 ] [ 5493, -6 ] [ 5897, 4 ] [ 6301, 0 ] [ 6604, -1 ] [ 7109, -2 ] [ 7513, -2 ] [ 7816, 1 ] [ 7917, 8 ] [ 8220, -3 ] [ 8321, 7 ] [ 9129, 2 ] [ 9533, -10 ] [ 9836, -5 ] [ 9937, 0 ] /* D = 40 (mod 101 ) [ 40, 1 ] [ 141, 1 ] [ 444, 2 ] [ 545, 4 ] [ 949, -1 ] [ 1353, 0 ] [ 1757, -4 ] [ 2060, -3 ] [ 2161, 0 ] [ 2969, -1 ] [ 3272, -4 ] [ 3373, 3 ] [ 3676, 1 ] [ 3777, -1 ] [ 4181, 0 ] [ 4585, 2 ] [ 4888, -1 ] [ 4989, -2 ] [ 5393, -3 ] [ 5797, 2 ] [ 6504, 0 ] [ 6605, 5 ] [ 6908, 8 ] [ 7009, -2 ] [ 7413, 6 ] [ 7817, 1 ] [ 8120, 2 ] [ 8221, 1 ] [ 8524, 0 ] [ 9029, 4 ] [ 9433, -2 ] [ 9736, 1 ] /* D = 41 (mod 101 ) [ 41, 1 ] [ 344, 2 ] [ 445, 0 ] [ 748, 0 ] [ 849, 2 ] [ 1253, -4 ] [ 1657, 2 ] [ 2364, -3 ] [ 2465, 1 ] [ 2869, -2 ] [ 3273, -1 ] [ 3576, 0 ] [ 3677, 1 ] [ 3980, 3 ] [ 4081, 2 ] [ 4485, -1 ] [ 4889, 4 ] [ 5192, 4 ] [ 5293, -2 ] [ 5596, 5 ] [ 6101, 5 ] [ 6505, 1 ] [ 6808, 2 ] [ 7212, 1 ] [ 7313, 1 ] [ 7717, 7 ] [ 8121, -5 ] [ 8828, -7 ] [ 8929, -2 ] [ 9737, -6 ] /* D = 42 (mod 101 ) [ 345, -1 ] [ 749, 0 ] [ 1052, 1 ] [ 1153, -2 ] [ 1961, -2 ] [ 2264, -2 ] [ 2365, 0 ] [ 2668, -1 ] [ 2769, 3 ] [ 3173, 5 ] [ 3880, 0 ] [ 3981, 0 ] [ 4385, -3 ] [ 4789, -3 ] [ 5496, 0 ] [ 5597, 3 ] [ 6001, 1 ] [ 6405, -2 ] [ 6809, 0 ] [ 7112, -4 ] [ 7213, -1 ] [ 7516, -2 ] [ 7617, 3 ] [ 8021, 0 ] [ 8728, -5 ] [ 9132, 4 ] [ 9233, -8 ] [ 9637, -2 ] /* D = 44 (mod 101 ) [ 44, 0 ] [ 145, 1 ] [ 953, 3 ] [ 1256, -1 ] [ 1357, -1 ] [ 1660, -2 ] [ 1761, 1 ] [ 2165, -3 ] [ 2569, 0 ] [ 2872, 3 ] [ 2973, -2 ] [ 3377, 6 ] [ 3781, 1 ] [ 4488, -2 ] [ 4589, -1 ] [ 4892, 6 ] [ 4993, -3 ] [ 5397, 4 ] [ 5801, 1 ] [ 6104, 0 ] [ 6205, 1 ] [ 6508, -4 ] [ 6609, -2 ] [ 7013, 3 ] [ 7417, 1 ] [ 7720, -3 ] [ 8124, -1 ] [ 8629, 3 ] [ 9033, -6 ] [ 9336, 2 ] [ 9437, -2 ] [ 9740, -8 ] [ 9841, -3 ] /* D = 46 (mod 101 ) [ 248, 1 ] [ 349, 0 ] [ 652, -1 ] [ 753, 1 ] [ 1157, 2 ] [ 1561, 0 ] [ 1864, 0 ] [ 1965, -3 ] [ 2369, 3 ] [ 2773, -1 ] [ 3480, -4 ] [ 3581, -2 ] [ 3884, -5 ] [ 3985, -3 ] [ 4389, -2 ] [ 4793, 2 ] [ 5197, 0 ] [ 5601, -1 ] [ 6005, -3 ] [ 6409, 1 ] [ 6712, 2 ] [ 7116, -4 ] [ 7217, 0 ] [ 7621, 2 ] [ 8328, 2 ] [ 8429, 0 ] [ 8732, 4 ] [ 9237, 3 ] [ 9641, 5 ] [ 9944, 8 ] /* D = 48 (mod 101 ) [ 149, -1 ] [ 553, 2 ] [ 856, -1 ] [ 957, -2 ] [ 1361, 2 ] [ 1765, -1 ] [ 2472, -2 ] [ 2573, 0 ] [ 2876, 0 ] [ 2977, -3 ] [ 3785, -1 ] [ 4088, 0 ] [ 4189, -1 ] [ 4492, -5 ] [ 4593, 5 ] [ 4997, 1 ] [ 5401, -2 ] [ 5704, -3 ] [ 6108, 2 ] [ 6209, 0 ] [ 6613, 1 ] [ 7017, -5 ] [ 7320, 2 ] [ 7421, 3 ] [ 7724, -4 ] [ 8229, 1 ] [ 8633, -2 ] [ 8936, 0 ] [ 9037, 4 ] [ 9340, 1 ] [ 9845, 4 ] /* D = 50 (mod 101 ) [ 353, -1 ] [ 757, 1 ] [ 1464, 2 ] [ 1565, -3 ] [ 1868, -3 ] [ 1969, 0 ] [ 2373, 2 ] [ 2777, 0 ] [ 3080, 2 ] [ 3181, 3 ] [ 3484, 2 ] [ 3585, 3 ] [ 3989, -3 ] [ 4393, -2 ] [ 4696, 1 ] [ 5201, 2 ] [ 5605, 3 ] [ 6009, -1 ] [ 6312, 2 ] [ 6716, -1 ] [ 6817, -3 ] [ 7221, 2 ] [ 7928, -4 ] [ 8029, 2 ] [ 8332, -6 ] [ 8837, -2 ] [ 9241, -1 ] [ 9544, 2 ] [ 9645, 3 ] [ 9948, -1 ] /* D = 51 (mod 101 ) [ 152, -1 ] [ 253, 0 ] [ 556, -1 ] [ 1061, 2 ] [ 1465, 0 ] [ 1768, -1 ] [ 1869, 2 ] [ 2172, -3 ] [ 2273, 4 ] [ 2677, -2 ] [ 3081, -1 ] [ 3485, 1 ] [ 3788, 4 ] [ 3889, -1 ] [ 4697, -2 ] [ 5101, -1 ] [ 5404, 2 ] [ 5505, -1 ] [ 5909, -1 ] [ 6313, 3 ] [ 6616, -2 ] [ 6717, -4 ] [ 7121, 1 ] [ 8333, 4 ] [ 8636, -1 ] [ 8737, 2 ] [ 9141, 2 ] [ 9545, 2 ] [ 9848, 9 ] [ 9949, -4 ] /* D = 53 (mod 101 ) [ 53, -1 ] [ 457, -1 ] [ 760, -1 ] [ 861, 0 ] [ 1164, 2 ] [ 1265, 2 ] [ 1669, -1 ] [ 2073, 2 ] [ 2477, -1 ] [ 2780, 5 ] [ 2881, 2 ] [ 3689, 0 ] [ 3992, -3 ] [ 4093, -3 ] [ 4396, 0 ] [ 4497, 2 ] [ 5305, 0 ] [ 5608, -1 ] [ 5709, -2 ] [ 6113, -7 ] [ 7224, 0 ] [ 7628, -1 ] [ 7729, 1 ] [ 8133, -1 ] [ 8537, 1 ] [ 8840, 1 ] [ 8941, -1 ] [ 9244, 3 ] [ 9345, 2 ] [ 9749, 0 ] /* D = 55 (mod 101 ) [ 156, 1 ] [ 257, 1 ] [ 661, 0 ] [ 1065, -1 ] [ 1469, 2 ] [ 1772, 0 ] [ 1873, -2 ] [ 2681, 0 ] [ 2984, 3 ] [ 3085, -2 ] [ 3489, -3 ] [ 3893, -1 ] [ 4297, 1 ] [ 4701, 4 ] [ 5105, 5 ] [ 5509, -2 ] [ 6216, 0 ] [ 6317, 0 ] [ 6620, 1 ] [ 6721, -2 ] [ 7529, -2 ] [ 7832, 6 ] [ 7933, 2 ] [ 8236, 1 ] [ 8337, 0 ] [ 8741, 0 ] [ 9145, -1 ] [ 9448, 3 ] [ 9852, 0 ] [ 9953, 2 ] /* D = 57 (mod 101 ) [ 57, 1 ] [ 461, 3 ] [ 764, 2 ] [ 865, -2 ] [ 1673, -4 ] [ 1976, -3 ] [ 2077, 0 ] [ 2380, -2 ] [ 2481, -2 ] [ 2885, 0 ] [ 3289, -4 ] [ 3592, 1 ] [ 3693, -1 ] [ 4097, -1 ] [ 4501, 2 ] [ 5208, -2 ] [ 5309, -3 ] [ 5612, 5 ] [ 5713, 1 ] [ 6117, 3 ] [ 6521, 3 ] [ 6824, 4 ] [ 7228, 3 ] [ 7329, 6 ] [ 7733, -4 ] [ 8137, 3 ] [ 8440, 1 ] [ 8844, -2 ] [ 8945, 3 ] [ 9349, 0 ] [ 9753, 0 ] /* D = 59 (mod 101 ) [ 665, 0 ] [ 1069, 1 ] [ 1473, -1 ] [ 1877, 0 ] [ 2281, 0 ] [ 2584, 3 ] [ 2685, 2 ] [ 3089, -1 ] [ 3493, 2 ] [ 4301, 4 ] [ 4604, 0 ] [ 4705, 4 ] [ 5109, -3 ] [ 5513, -2 ] [ 5816, 1 ] [ 5917, -4 ] [ 6220, 1 ] [ 7129, 1 ] [ 7432, -7 ] [ 7836, -6 ] [ 7937, -4 ] [ 8341, -1 ] [ 8745, 0 ] [ 9048, 0 ] [ 9149, 0 ] [ 9452, -5 ] [ 9553, 0 ] [ 9957, -1 ] /* D = 60 (mod 101 ) [ 60, 1 ] [ 161, 2 ] [ 565, 2 ] [ 969, -1 ] [ 1272, -2 ] [ 1373, -1 ] [ 1676, -2 ] [ 1777, 0 ] [ 2181, -1 ] [ 2585, -4 ] [ 3292, -2 ] [ 3797, 0 ] [ 4201, 1 ] [ 4504, 1 ] [ 4605, -1 ] [ 4908, 0 ] [ 5009, 0 ] [ 5413, 0 ] [ 5817, 4 ] [ 6221, 4 ] [ 6524, 2 ] [ 7433, 3 ] [ 7736, -1 ] [ 7837, -1 ] [ 8140, 0 ] [ 8241, -6 ] [ 8645, -2 ] [ 9049, 2 ] [ 9352, -4 ] [ 9453, 5 ] [ 9857, 5 ] /* D = 61 (mod 101 ) [ 61, -1 ] [ 364, -2 ] [ 465, -1 ] [ 869, 0 ] [ 1273, 0 ] [ 1576, -1 ] [ 1677, 0 ] [ 2081, 2 ] [ 2485, -2 ] [ 3192, -2 ] [ 3293, 4 ] [ 3596, 1 ] [ 3697, 0 ] [ 4101, 3 ] [ 4505, -1 ] [ 4808, 3 ] [ 4909, 1 ] [ 5212, 2 ] [ 5313, -2 ] [ 5717, -2 ] [ 6121, -2 ] [ 6424, 0 ] [ 6828, -5 ] [ 7333, 0 ] [ 7737, -1 ] [ 8040, 0 ] [ 8141, -4 ] [ 8444, 4 ] [ 8545, 2 ] [ 8949, -3 ] [ 9353, -7 ] [ 9656, -3 ] [ 9757, 0 ] /* D = 62 (mod 101 ) [ 264, -2 ] [ 365, -3 ] [ 668, -1 ] [ 769, 0 ] [ 1173, -1 ] [ 1577, 4 ] [ 1880, 1 ] [ 1981, 0 ] [ 2284, 1 ] [ 2789, 0 ] [ 3193, -1 ] [ 3496, -1 ] [ 3597, 0 ] [ 4001, 1 ] [ 4405, 4 ] [ 4809, -2 ] [ 5213, 1 ] [ 5516, -6 ] [ 5617, -3 ] [ 6829, -2 ] [ 7132, 2 ] [ 7233, 2 ] [ 7637, -8 ] [ 8041, -4 ] [ 8344, -4 ] [ 8445, 3 ] [ 8849, -5 ] [ 9253, 0 ] [ 9960, -4 ] /* D = 63 (mod 101 ) [ 265, -1 ] [ 568, 1 ] [ 669, 0 ] [ 1073, 0 ] [ 1477, 2 ] [ 2184, -2 ] [ 2285, -1 ] [ 2588, 6 ] [ 2689, 1 ] [ 3093, 3 ] [ 3497, 2 ] [ 3901, 2 ] [ 4204, 3 ] [ 4305, -4 ] [ 4709, -2 ] [ 5113, 2 ] [ 5416, 1 ] [ 5820, 0 ] [ 5921, 4 ] [ 6729, 1 ] [ 7032, 2 ] [ 7133, 2 ] [ 7537, -1 ] [ 7941, -5 ] [ 8345, 1 ] [ 8648, 3 ] [ 8749, 1 ] [ 9052, 3 ] [ 9557, -4 ] [ 9961, -2 ] /* D = 66 (mod 101 ) [ 268, 0 ] [ 773, 0 ] [ 1177, 2 ] [ 1480, 2 ] [ 1581, 3 ] [ 1884, 3 ] [ 1985, -2 ] [ 2389, 0 ] [ 3197, 1 ] [ 3601, 0 ] [ 4409, -1 ] [ 4712, -1 ] [ 4813, 1 ] [ 5116, 3 ] [ 5217, -2 ] [ 5621, -2 ] [ 6328, 2 ] [ 6429, -1 ] [ 6833, 1 ] [ 7237, -1 ] [ 7944, 4 ] [ 8045, -3 ] [ 8348, 3 ] [ 8449, 4 ] [ 8853, 5 ] [ 9257, 0 ] [ 9560, 5 ] [ 9661, -1 ] [ 9964, -5 ] /* D = 67 (mod 101 ) [ 168, -2 ] [ 269, -2 ] [ 572, 0 ] [ 673, -1 ] [ 1077, -3 ] [ 1481, 5 ] [ 1784, 6 ] [ 1885, 1 ] [ 2188, 1 ] [ 2289, 0 ] [ 2693, 4 ] [ 3097, -1 ] [ 3804, 1 ] [ 3905, 8 ] [ 4309, -1 ] [ 4713, -2 ] [ 5016, 2 ] [ 5117, -4 ] [ 5420, 6 ] [ 5521, -3 ] [ 6329, 0 ] [ 6632, -5 ] [ 6733, 2 ] [ 7036, -2 ] [ 7541, 0 ] [ 7945, -4 ] [ 8248, 3 ] [ 8652, -8 ] [ 8753, -2 ] [ 9157, 1 ] [ 9561, -2 ] [ 9965, -3 ] /* D = 69 (mod 101 ) [ 69, -1 ] [ 473, 0 ] [ 776, -2 ] [ 877, -1 ] [ 1180, 1 ] [ 1281, 2 ] [ 1685, -5 ] [ 2089, 4 ] [ 2392, 3 ] [ 2796, 4 ] [ 2897, 1 ] [ 3301, 1 ] [ 3705, 1 ] [ 4008, 2 ] [ 4109, 2 ] [ 4412, 3 ] [ 4513, 2 ] [ 4917, 4 ] [ 5321, -3 ] [ 5624, -2 ] [ 6028, 0 ] [ 6533, 1 ] [ 6937, 0 ] [ 7240, 1 ] [ 7341, 0 ] [ 7745, -6 ] [ 8149, 1 ] [ 8553, -3 ] [ 9260, -7 ] [ 9361, -4 ] /* D = 72 (mod 101 ) [ 173, -2 ] [ 476, -2 ] [ 577, 0 ] [ 1385, -2 ] [ 1688, 1 ] [ 1789, 1 ] [ 2092, 2 ] [ 2193, 4 ] [ 3001, 3 ] [ 3304, 2 ] [ 3405, 1 ] [ 3809, -4 ] [ 4213, 0 ] [ 4920, -8 ] [ 5021, 0 ] [ 5829, -4 ] [ 6233, 0 ] [ 6536, -4 ] [ 6637, 0 ] [ 6940, -2 ] [ 7041, -3 ] [ 7445, -1 ] [ 7849, 1 ] [ 8152, 1 ] [ 8556, -1 ] [ 8657, -2 ] [ 9061, 1 ] [ 9465, -5 ] [ 9768, 8 ] [ 9869, 1 ] /* D = 73 (mod 101 ) [ 73, -1 ] [ 376, -1 ] [ 780, -1 ] [ 881, -2 ] [ 1285, 1 ] [ 1689, -3 ] [ 1992, 0 ] [ 2093, 4 ] [ 2396, 1 ] [ 2497, -4 ] [ 2901, 5 ] [ 3305, 2 ] [ 3608, 6 ] [ 3709, 0 ] [ 4012, -3 ] [ 4517, -5 ] [ 4921, 2 ] [ 5224, 0 ] [ 5628, 6 ] [ 5729, 5 ] [ 6133, 3 ] [ 6537, -4 ] [ 6941, -6 ] [ 7244, -5 ] [ 7345, -4 ] [ 8153, 5 ] [ 8456, 4 ] [ 8557, -4 ] [ 8860, 4 ] [ 8961, 0 ] [ 9365, -4 ] [ 9769, 1 ] /* D = 74 (mod 101 ) [ 377, -3 ] [ 680, -3 ] [ 781, 2 ] [ 1084, 2 ] [ 1185, -1 ] [ 1589, 0 ] [ 1993, 1 ] [ 2296, 2 ] [ 2397, 5 ] [ 2801, -1 ] [ 3205, 0 ] [ 3912, 4 ] [ 4013, -2 ] [ 4316, 0 ] [ 4417, 0 ] [ 4821, 2 ] [ 5528, -4 ] [ 5629, 1 ] [ 5932, 2 ] [ 6033, 1 ] [ 6437, 1 ] [ 6841, 0 ] [ 7144, -1 ] [ 7548, 8 ] [ 7649, 0 ] [ 8053, -1 ] [ 8457, 3 ] [ 8760, -2 ] [ 8861, -7 ] [ 9164, 1 ] [ 9265, -4 ] [ 9669, -2 ] /* D = 75 (mod 101 ) [ 277, 0 ] [ 681, 1 ] [ 984, 0 ] [ 1085, -2 ] [ 1388, -4 ] [ 1489, 1 ] [ 1893, -1 ] [ 2297, -2 ] [ 2701, 0 ] [ 3004, 0 ] [ 3913, 0 ] [ 4216, -1 ] [ 4317, 1 ] [ 4620, -2 ] [ 4721, 0 ] [ 5529, 4 ] [ 5933, 2 ] [ 6236, -3 ] [ 6337, 3 ] [ 7145, -6 ] [ 7549, -1 ] [ 7852, -2 ] [ 7953, -4 ] [ 8357, 3 ] [ 8761, -2 ] [ 9064, 2 ] [ 9165, 1 ] [ 9569, -8 ] [ 9973, 1 ] /* D = 83 (mod 101 ) [ 184, 1 ] [ 285, 3 ] [ 689, -3 ] [ 1093, 2 ] [ 1497, -1 ] [ 1901, 0 ] [ 2204, -3 ] [ 2305, -1 ] [ 3113, -4 ] [ 3416, -8 ] [ 3517, 1 ] [ 3820, 0 ] [ 3921, -1 ] [ 4729, 0 ] [ 5032, 2 ] [ 5133, 0 ] [ 5941, 1 ] [ 6648, -6 ] [ 6749, -2 ] [ 7052, -6 ] [ 7153, 1 ] [ 7557, -2 ] [ 7961, 2 ] [ 8264, 1 ] [ 8365, 0 ] [ 8668, 2 ] [ 8769, 8 ] [ 9173, -2 ] [ 9577, -1 ] [ 9880, 1 ] /* D = 86 (mod 101 ) [ 389, 1 ] [ 793, 1 ] [ 1096, 1 ] [ 1601, 1 ] [ 2005, -3 ] [ 2409, -2 ] [ 2712, 0 ] [ 2813, 4 ] [ 3116, -3 ] [ 3217, 2 ] [ 3621, -1 ] [ 4328, 3 ] [ 4429, -4 ] [ 5237, -3 ] [ 5641, 3 ] [ 5944, 1 ] [ 6045, -1 ] [ 6449, 4 ] [ 6853, 0 ] [ 7257, 6 ] [ 7661, 1 ] [ 7964, 6 ] [ 8065, 0 ] [ 8873, 1 ] [ 9176, 10 ] [ 9277, 2 ] [ 9580, 0 ] [ 9681, -2 ] /* D = 89 (mod 101 ) [ 89, -2 ] [ 493, 1 ] [ 796, -1 ] [ 897, -3 ] [ 1301, 1 ] [ 1705, 0 ] [ 2008, 5 ] [ 2109, 4 ] [ 2513, 0 ] [ 2917, 3 ] [ 3624, 4 ] [ 4028, -3 ] [ 4129, 1 ] [ 4533, 3 ] [ 4937, 1 ] [ 5240, -5 ] [ 5644, -2 ] [ 5745, 0 ] [ 6149, -8 ] [ 6553, -1 ] [ 6856, -3 ] [ 7361, -1 ] [ 7765, -1 ] [ 8169, -4 ] [ 8472, -2 ] [ 8573, -2 ] [ 8876, -2 ] [ 8977, -2 ] [ 9381, 0 ] [ 9785, 9 ] /* D = 90 (mod 101 ) [ 393, -1 ] [ 696, 0 ] [ 797, 5 ] [ 1201, -1 ] [ 1605, -1 ] [ 2413, -1 ] [ 2716, -4 ] [ 3221, 3 ] [ 3928, -3 ] [ 4029, -1 ] [ 4433, -2 ] [ 4837, -2 ] [ 5241, -1 ] [ 5645, -3 ] [ 5948, 0 ] [ 6049, 1 ] [ 6857, -1 ] [ 7160, 8 ] [ 7261, -3 ] [ 7564, -1 ] [ 7665, 6 ] [ 8069, 4 ] [ 8473, 0 ] [ 8776, 3 ] [ 8877, 2 ] [ 9281, 3 ] [ 9685, -1 ] /* D = 91 (mod 101 ) [ 293, 2 ] [ 697, 1 ] [ 1101, 1 ] [ 1505, -4 ] [ 1909, 0 ] [ 2616, -4 ] [ 2717, -2 ] [ 3020, -4 ] [ 3121, -2 ] [ 3929, 0 ] [ 4333, 2 ] [ 4636, 1 ] [ 4737, 3 ] [ 5141, 2 ] [ 5545, -1 ] [ 5848, 2 ] [ 6252, -3 ] [ 6353, 6 ] [ 6757, 4 ] [ 7161, -2 ] [ 7464, 4 ] [ 7565, -4 ] [ 7868, 4 ] [ 7969, 0 ] [ 8373, -5 ] [ 8777, 2 ] [ 9080, -3 ] [ 9181, 0 ] [ 9484, -6 ] [ 9989, 0 ] /* D = 93 (mod 101 ) [ 93, -1 ] [ 497, 2 ] [ 901, -1 ] [ 1608, 0 ] [ 1709, -2 ] [ 2012, 4 ] [ 2113, 0 ] [ 2517, -2 ] [ 2921, 3 ] [ 3224, 1 ] [ 3628, -2 ] [ 3729, 0 ] [ 4133, -2 ] [ 4537, 0 ] [ 5244, 1 ] [ 5345, -3 ] [ 5749, 0 ] [ 6153, -2 ] [ 6456, 0 ] [ 6557, 4 ] [ 6961, -2 ] [ 7365, 1 ] [ 7769, -3 ] [ 8072, 3 ] [ 8173, 4 ] [ 8476, 5 ] [ 8981, 8 ] [ 9385, -6 ] [ 9688, 0 ] [ 9789, 3 ] /* D = 94 (mod 101 ) [ 296, 0 ] [ 397, 0 ] [ 1205, -1 ] [ 1609, -1 ] [ 1912, -3 ] [ 2013, 4 ] [ 2316, -3 ] [ 2417, -2 ] [ 2821, 0 ] [ 3629, -2 ] [ 3932, -6 ] [ 4033, -2 ] [ 4841, -1 ] [ 5144, -7 ] [ 5245, 0 ] [ 5548, -1 ] [ 5649, 0 ] [ 6053, 1 ] [ 6457, -2 ] [ 6861, -1 ] [ 7265, -1 ] [ 7669, 4 ] [ 8376, 4 ] [ 8780, 3 ] [ 8881, 0 ] [ 9285, 3 ] [ 9689, 3 ] [ 9992, 1 ] /* D = 98 (mod 101 ) [ 401, 1 ] [ 805, -2 ] [ 1209, 3 ] [ 1613, -2 ] [ 1916, 0 ] [ 2017, 2 ] [ 3128, -5 ] [ 3229, -1 ] [ 3532, -2 ] [ 3633, -4 ] [ 4037, -2 ] [ 4441, -2 ] [ 4744, 0 ] [ 4845, -1 ] [ 5249, -1 ] [ 5653, 0 ] [ 6360, -2 ] [ 6461, 0 ] [ 6764, -6 ] [ 6865, -1 ] [ 7269, 3 ] [ 7673, -4 ] [ 7976, 3 ] [ 8077, 3 ] [ 8380, 2 ] [ 8481, 2 ] [ 8885, 0 ] [ 9289, 0 ] [ 9592, 4 ] /* D = 99 (mod 101 ) [ 301, 0 ] [ 604, -2 ] [ 705, -3 ] [ 1109, 3 ] [ 1513, -2 ] [ 1816, -1 ] [ 2220, 0 ] [ 2321, 2 ] [ 3129, 2 ] [ 3432, -6 ] [ 3533, 6 ] [ 3836, 6 ] [ 3937, -3 ] [ 4341, 0 ] [ 4745, 1 ] [ 5048, 9 ] [ 5149, 0 ] [ 5452, -3 ] [ 5957, -2 ] [ 6361, 0 ] [ 6765, 0 ] [ 7068, -3 ] [ 7169, 2 ] [ 7573, 2 ] [ 7977, -2 ] [ 8684, -1 ] [ 8785, 0 ] [ 9593, -1 ] [ 9896, -7 ] [ 9997, 0 ] Total time: 121.570 seconds Goodbye!