Magma V2.19-8 Tue Aug 20 2013 17:56:44 on localhost [Seed = 458927935] Type ? for help. Type -D to quit. Loading file "10^3_60__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_60 geometric_solution 11.07964311 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3120 2 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212360495195 0.506498007619 0 4 5 5 0132 0132 2103 0132 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311991752259 0.790834261843 6 0 8 7 0132 0132 0132 0132 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.060495809790 0.848445085921 0 6 9 0 3120 0321 0132 0132 2 1 0 2 0 -1 0 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 -1 1 -1 0 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.898192422169 0.577589962809 7 1 10 8 0132 0132 0132 2031 0 2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799052291075 0.681182577986 1 10 1 11 2103 2103 0132 0132 0 1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568331462233 1.094190044941 2 7 8 3 0132 0132 1023 0321 2 2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.399900664122 1.448203306814 4 6 2 9 0132 0132 0132 2031 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859581648234 0.823717321912 10 4 6 2 2103 1302 1023 0132 2 2 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356469625357 0.830717789450 11 7 11 3 3120 1302 2103 0132 2 1 2 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249119998145 0.679476378964 11 5 8 4 1230 2103 2103 0132 0 2 0 0 0 0 -1 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771621568113 0.381830605908 9 10 5 9 2103 3012 0132 3120 0 1 2 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524352247454 1.297332269462 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_6'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_1001_3']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_9'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_9, c_0101_0, c_0101_11, c_0101_3, c_0101_6, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 875472444/921973*c_1001_3^5 - 5996943754/921973*c_1001_3^4 - 9352775461/921973*c_1001_3^3 + 115290113/921973*c_1001_3^2 + 3211889298/921973*c_1001_3 - 384107263/921973, c_0011_0 - 1, c_0011_10 - 510102/70921*c_1001_3^5 + 3505406/70921*c_1001_3^4 + 5318761/70921*c_1001_3^3 + 221251/70921*c_1001_3^2 - 1616584/70921*c_1001_3 + 214225/70921, c_0011_11 + 100323/70921*c_1001_3^5 - 639032/70921*c_1001_3^4 - 1461543/70921*c_1001_3^3 - 47642/70921*c_1001_3^2 + 680258/70921*c_1001_3 - 127622/70921, c_0011_3 - 21870/70921*c_1001_3^5 + 168624/70921*c_1001_3^4 + 89687/70921*c_1001_3^3 - 84464/70921*c_1001_3^2 - 63458/70921*c_1001_3 + 55370/70921, c_0011_5 - 140166/70921*c_1001_3^5 + 1040269/70921*c_1001_3^4 + 931807/70921*c_1001_3^3 - 727947/70921*c_1001_3^2 - 563374/70921*c_1001_3 + 179172/70921, c_0011_9 - 134703/70921*c_1001_3^5 + 901485/70921*c_1001_3^4 + 1534530/70921*c_1001_3^3 + 567745/70921*c_1001_3^2 - 111373/70921*c_1001_3 - 73981/70921, c_0101_0 - 1, c_0101_11 + 369936/70921*c_1001_3^5 - 2465137/70921*c_1001_3^4 - 4386954/70921*c_1001_3^3 - 949198/70921*c_1001_3^2 + 1053210/70921*c_1001_3 - 35053/70921, c_0101_3 - 21870/70921*c_1001_3^5 + 168624/70921*c_1001_3^4 + 89687/70921*c_1001_3^3 - 84464/70921*c_1001_3^2 - 63458/70921*c_1001_3 - 15551/70921, c_0101_6 - 21663/70921*c_1001_3^5 + 145489/70921*c_1001_3^4 + 233336/70921*c_1001_3^3 + 149470/70921*c_1001_3^2 + 86748/70921*c_1001_3 - 70944/70921, c_1001_0 - 1, c_1001_3^6 - 64/9*c_1001_3^5 - 80/9*c_1001_3^4 + 26/9*c_1001_3^3 + 32/9*c_1001_3^2 - 13/9*c_1001_3 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB