Magma V2.19-8 Wed Aug 21 2013 01:04:52 on localhost [Seed = 3970626691] Type ? for help. Type -D to quit. Loading file "L14n24774__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24774 geometric_solution 11.72533191 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 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 0 0 0 0 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 0.805399568919 1.000970757613 0 4 0 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.512059712199 0.606424411433 5 6 7 0 0132 0132 0132 0132 1 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 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 0 0 0 0 0.494673379252 0.943897477873 4 4 0 8 0132 1302 0132 0132 1 1 1 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 1 -1 0 0 0 0 0 0 -1 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243047777046 0.613467269934 3 1 5 3 0132 0132 3012 2031 1 1 0 1 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 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797363599619 0.646218421414 2 4 1 8 0132 1230 0132 1230 1 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 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 0 0 0 0 1.802745006695 0.537743072030 8 2 9 10 1230 0132 0132 0132 1 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 0 0 0 0 0 0 0 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 0.778371072811 0.653680501798 10 9 11 2 0132 1230 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 1 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 -6 6 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423100720542 0.620174760766 5 6 3 11 3012 3012 0132 0132 1 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 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 0.178022702984 2.101469647280 12 11 7 6 0132 3012 3012 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045697093814 0.900772529998 7 12 6 12 0132 1302 0132 0321 1 1 1 1 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 0 0 0 -5 0 0 5 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500316674635 0.592535987261 9 12 8 7 1230 3201 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556574216156 0.423023840589 9 10 11 10 0132 0321 2310 2031 1 1 1 1 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 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739102783494 0.776246940771 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : negation(d['c_1001_12']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_2'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1001_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_12']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_8'], '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_4'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0011_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_2, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_4, c_0101_9, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 27214661753/636523237*c_1100_0^7 - 495920660262/636523237*c_1100_0^6 - 4249138156933/1273046474*c_1100_0^5 - 1991308440257/1273046474*c_1100_0^4 + 5298450731/9571778*c_1100_0^3 + 2089604686013/1273046474*c_1100_0^2 - 694000026900/636523237*c_1100_0 + 256653173997/1273046474, c_0011_0 - 1, c_0011_10 - 476127/116729*c_1100_0^7 - 8748188/116729*c_1100_0^6 - 38494858/116729*c_1100_0^5 - 23294237/116729*c_1100_0^4 + 2400446/116729*c_1100_0^3 + 18591070/116729*c_1100_0^2 - 9048546/116729*c_1100_0 + 1145712/116729, c_0011_12 + 287582/116729*c_1100_0^7 + 5227246/116729*c_1100_0^6 + 22199763/116729*c_1100_0^5 + 9305620/116729*c_1100_0^4 - 5046267/116729*c_1100_0^3 - 11538601/116729*c_1100_0^2 + 7756856/116729*c_1100_0 - 1287173/116729, c_0011_2 - 416474/116729*c_1100_0^7 - 7623011/116729*c_1100_0^6 - 33134218/116729*c_1100_0^5 - 17976125/116729*c_1100_0^4 + 3717667/116729*c_1100_0^3 + 16182526/116729*c_1100_0^2 - 9317065/116729*c_1100_0 + 1400526/116729, c_0011_8 - 491906/116729*c_1100_0^7 - 8992546/116729*c_1100_0^6 - 38924381/116729*c_1100_0^5 - 20214889/116729*c_1100_0^4 + 5455455/116729*c_1100_0^3 + 19478988/116729*c_1100_0^2 - 11250143/116729*c_1100_0 + 1696714/116729, c_0101_0 - 1, c_0101_1 - 360754/116729*c_1100_0^7 - 6613618/116729*c_1100_0^6 - 28894152/116729*c_1100_0^5 - 16422142/116729*c_1100_0^4 + 2716507/116729*c_1100_0^3 + 14220569/116729*c_1100_0^2 - 7479767/116729*c_1100_0 + 1032599/116729, c_0101_11 - 131152/116729*c_1100_0^7 - 2378928/116729*c_1100_0^6 - 10030229/116729*c_1100_0^5 - 3792747/116729*c_1100_0^4 + 2738948/116729*c_1100_0^3 + 5258419/116729*c_1100_0^2 - 3770376/116729*c_1100_0 + 547386/116729, c_0101_12 - 547626/116729*c_1100_0^7 - 10001939/116729*c_1100_0^6 - 43164447/116729*c_1100_0^5 - 21768872/116729*c_1100_0^4 + 6456615/116729*c_1100_0^3 + 21440945/116729*c_1100_0^2 - 12970712/116729*c_1100_0 + 1947912/116729, c_0101_4 + 285322/116729*c_1100_0^7 + 5244083/116729*c_1100_0^6 + 23103989/116729*c_1100_0^5 + 14183378/116729*c_1100_0^4 - 978719/116729*c_1100_0^3 - 10924107/116729*c_1100_0^2 + 5546689/116729*c_1100_0 - 736411/116729, c_0101_9 + 491906/116729*c_1100_0^7 + 8992546/116729*c_1100_0^6 + 38924381/116729*c_1100_0^5 + 20214889/116729*c_1100_0^4 - 5455455/116729*c_1100_0^3 - 19478988/116729*c_1100_0^2 + 11133414/116729*c_1100_0 - 1696714/116729, c_1001_12 - 376533/116729*c_1100_0^7 - 6857976/116729*c_1100_0^6 - 29323675/116729*c_1100_0^5 - 13342794/116729*c_1100_0^4 + 5771516/116729*c_1100_0^3 + 15108487/116729*c_1100_0^2 - 9564635/116729*c_1100_0 + 1583601/116729, c_1100_0^8 + 18*c_1100_0^7 + 74*c_1100_0^6 + 19*c_1100_0^5 - 22*c_1100_0^4 - 36*c_1100_0^3 + 34*c_1100_0^2 - 10*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.730 Total time: 0.930 seconds, Total memory usage: 32.09MB