Magma V2.19-8 Tue Aug 20 2013 23:59:42 on localhost [Seed = 4038498741] Type ? for help. Type -D to quit. Loading file "L14n4666__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n4666 geometric_solution 10.31877867 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 -2 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 -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 0.530932461197 0.536717428631 0 5 7 6 0132 0132 0132 0132 0 0 1 1 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 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 0.167587316229 0.663872764614 3 0 2 2 1230 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.454799280529 0.865118072139 8 2 5 0 0132 3012 2103 0132 1 0 1 1 0 0 0 0 -1 0 -1 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 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228595426644 0.617921120848 9 8 0 10 0132 2103 0132 0132 1 0 1 1 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 1 0 -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 0.529161079749 0.552004555911 3 1 6 11 2103 0132 0132 0132 0 0 1 1 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 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.552773153294 0.524322111638 8 8 1 5 2103 1302 0132 0132 0 0 1 1 0 1 -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 0 0 0 0 0 0 0 0 -5 6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904564939226 1.806537645212 9 10 11 1 3120 1023 0132 0132 0 0 1 1 0 -1 0 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547509365930 0.472024306157 3 4 6 6 0132 2103 2103 2031 1 0 1 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 0 0 0 0 1 5 -6 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 0.904564939226 1.806537645212 4 10 11 7 0132 2103 3012 3120 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 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 0.547509365930 0.472024306157 7 9 4 11 1023 2103 0132 3120 1 0 1 1 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 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 0.058322159497 1.104009111822 10 9 5 7 3120 1230 0132 0132 0 0 1 1 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 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 0.952282469613 0.903268822606 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : d['c_0101_10'], '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' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_11']), 'c_1100_3' : negation(d['c_0101_11']), 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_4'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_4'], '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_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_10'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 455616901341/21616132252*c_1100_1^5 - 256039519441/21616132252*c_1100_1^4 - 449901172727/43232264504*c_1100_1^3 - 26673749957/43232264504*c_1100_1^2 - 9952033955/10808066126*c_1100_1 - 13308401135/43232264504, c_0011_0 - 1, c_0011_10 + 363316968/2055547*c_1100_1^5 + 52600560/2055547*c_1100_1^4 + 6744994/2055547*c_1100_1^3 - 8739300/2055547*c_1100_1^2 + 11588626/2055547*c_1100_1 - 1331488/2055547, c_0011_3 - 143627085/2055547*c_1100_1^5 - 124224200/2055547*c_1100_1^4 - 47908442/2055547*c_1100_1^3 - 6639693/2055547*c_1100_1^2 - 5532775/2055547*c_1100_1 + 524909/2055547, c_0011_4 - 434232414/2055547*c_1100_1^5 - 16073208/2055547*c_1100_1^4 - 33573481/2055547*c_1100_1^3 + 7856384/2055547*c_1100_1^2 - 1924778/2055547*c_1100_1 + 3012903/2055547, c_0101_0 - 1, c_0101_1 - 189447867/2055547*c_1100_1^5 - 34971809/2055547*c_1100_1^4 + 13299616/2055547*c_1100_1^3 + 6951403/2055547*c_1100_1^2 - 8443467/2055547*c_1100_1 + 201028/2055547, c_0101_10 - 15578766/2055547*c_1100_1^5 - 17343058/2055547*c_1100_1^4 + 33344226/2055547*c_1100_1^3 + 5163506/2055547*c_1100_1^2 - 5298308/2055547*c_1100_1 - 929432/2055547, c_0101_11 - 158290335/2055547*c_1100_1^5 - 285693/2055547*c_1100_1^4 - 53388836/2055547*c_1100_1^3 - 3375609/2055547*c_1100_1^2 + 2153149/2055547*c_1100_1 + 2059892/2055547, c_0101_2 - 166908357/2055547*c_1100_1^5 - 75263625/2055547*c_1100_1^4 - 40976292/2055547*c_1100_1^3 - 21640148/2055547*c_1100_1^2 - 3249647/2055547*c_1100_1 - 208627/2055547, c_0101_3 - 87063984/2055547*c_1100_1^5 - 21583620/2055547*c_1100_1^4 - 5929480/2055547*c_1100_1^3 - 4925935/2055547*c_1100_1^2 - 511087/2055547*c_1100_1 + 1396578/2055547, c_0101_7 - 15578766/2055547*c_1100_1^5 - 17343058/2055547*c_1100_1^4 + 33344226/2055547*c_1100_1^3 + 5163506/2055547*c_1100_1^2 - 5298308/2055547*c_1100_1 - 929432/2055547, c_1100_1^6 - 32/441*c_1100_1^5 + 11/441*c_1100_1^4 - 13/441*c_1100_1^3 + 2/441*c_1100_1^2 - 1/147*c_1100_1 + 1/441 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB