Magma V2.19-8 Tue Aug 20 2013 23:41:00 on localhost [Seed = 2295262312] Type ? for help. Type -D to quit. Loading file "L12n877__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n877 geometric_solution 9.28785235 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1023 1 1 0 0 0 0 1 -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 1 -12 11 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418402111721 1.433722109000 0 4 6 5 0132 0132 0132 0132 1 1 0 0 0 0 -1 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 12 -11 -1 0 0 1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082325389699 0.974796546463 7 0 7 0 0132 0132 1023 1023 1 1 0 0 0 0 0 0 0 0 -1 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 -1 0 1 0 0 11 -11 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347069142485 0.314618972762 6 8 8 0 0132 0132 1023 0132 1 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 -12 12 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 0.082325389699 0.974796546463 7 1 9 5 1023 0132 0132 1023 1 1 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 0 0 0 0 1 0 -1 -11 0 0 11 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082325389699 0.974796546463 9 6 1 4 1023 0132 0132 1023 1 1 0 0 0 0 -1 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 11 -11 0 0 -1 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690256074304 1.482185212179 3 5 9 1 0132 0132 1023 0132 1 1 0 0 0 0 -1 1 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 12 -12 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 0.371445797558 0.707894218133 2 4 2 8 0132 1023 1023 1023 1 1 0 0 0 -1 1 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 11 -11 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418402111721 1.433722109000 9 3 3 7 0132 0132 1023 1023 1 1 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 0 0 0 -12 0 12 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 0.082325389699 0.974796546463 8 5 6 4 0132 1023 1023 0132 1 1 0 0 0 0 0 0 -1 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 0 0 0 0 12 0 -12 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371445797558 0.707894218133 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0101_1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_8' : negation(d['c_1100_0']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1100_1']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_2'], 's_3_1' : 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_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0101_9, c_0110_5, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 284835513665/10792240544*c_1100_1^7 + 769593535639/10792240544*c_1100_1^6 + 169085432115/5396120272*c_1100_1^5 - 34001780748087/10792240544*c_1100_1^4 - 21422961419875/5396120272*c_1100_1^3 - 1302149995107/337257517*c_1100_1^2 - 14429660795537/5396120272*c_1100_1 + 4198295753627/5396120272, c_0011_0 - 1, c_0011_3 + 111796645/2698060136*c_1100_1^7 + 292610627/2698060136*c_1100_1^6 + 44080843/1349030068*c_1100_1^5 - 13412762979/2698060136*c_1100_1^4 - 7850108151/1349030068*c_1100_1^3 - 1571495277/337257517*c_1100_1^2 - 3318130473/1349030068*c_1100_1 + 3172412775/1349030068, c_0101_0 - 1, c_0101_1 - 505391/337257517*c_1100_1^7 - 1133769/337257517*c_1100_1^6 + 451676/337257517*c_1100_1^5 + 65339859/337257517*c_1100_1^4 + 54814037/337257517*c_1100_1^3 - 28353445/337257517*c_1100_1^2 - 332876423/337257517*c_1100_1 - 212229027/337257517, c_0101_2 - 505391/337257517*c_1100_1^7 - 1133769/337257517*c_1100_1^6 + 451676/337257517*c_1100_1^5 + 65339859/337257517*c_1100_1^4 + 54814037/337257517*c_1100_1^3 - 28353445/337257517*c_1100_1^2 - 332876423/337257517*c_1100_1 - 212229027/337257517, c_0101_7 - 1379799/674515034*c_1100_1^7 + 7438941/674515034*c_1100_1^6 + 13145507/337257517*c_1100_1^5 + 167148023/674515034*c_1100_1^4 - 564648811/337257517*c_1100_1^3 - 563364062/337257517*c_1100_1^2 - 403482995/337257517*c_1100_1 - 153682241/337257517, c_0101_9 - 1, c_0110_5 + 9684045/674515034*c_1100_1^7 + 31590363/674515034*c_1100_1^6 + 14071954/337257517*c_1100_1^5 - 1142810199/674515034*c_1100_1^4 - 1056810166/337257517*c_1100_1^3 - 1239109598/337257517*c_1100_1^2 - 1153928778/337257517*c_1100_1 - 100432382/337257517, c_1100_0 - 1896463/674515034*c_1100_1^7 + 3198199/674515034*c_1100_1^6 + 7446577/337257517*c_1100_1^5 + 218176549/674515034*c_1100_1^4 - 364835607/337257517*c_1100_1^3 - 59663679/337257517*c_1100_1^2 + 15760671/337257517*c_1100_1 - 27745524/337257517, c_1100_1^8 + 3*c_1100_1^7 + 2*c_1100_1^6 - 119*c_1100_1^5 - 186*c_1100_1^4 - 192*c_1100_1^3 - 146*c_1100_1^2 - 2*c_1100_1 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB