Magma V2.19-8 Tue Aug 20 2013 23:42:40 on localhost [Seed = 3886121636] Type ? for help. Type -D to quit. Loading file "L14n25127__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25127 geometric_solution 9.62763837 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 0 2 -2 0 0 0 0 12 -11 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183286318244 0.983059573752 0 5 2 6 0132 0132 1023 0132 0 0 1 1 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 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316713681756 0.691668578684 4 0 1 5 0132 0132 1023 0132 0 0 1 1 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 -1 0 0 1 1 -1 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581685519964 1.627123302546 7 6 7 0 0132 0132 1230 0132 0 0 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 0 0 0 0 2 0 -2 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.601838560876 2 5 0 7 0132 1023 0132 2031 0 0 1 1 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 -3 2 1 1 0 0 -1 11 0 0 -11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183286318244 0.983059573752 4 1 2 8 1023 0132 0132 0132 0 0 1 1 0 0 0 0 -1 0 0 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 0 0 0 3 0 -1 -2 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316713681756 0.691668578684 8 3 1 9 0213 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 0 0 -2 0 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 0.683286318244 0.691668578684 3 4 8 3 0132 1302 0213 3012 0 0 0 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 1 0 -1 0 0 0 0 1 -1 0 0 1 11 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183286318244 0.983059573752 6 7 5 9 0213 0213 0132 3201 0 0 0 1 0 0 0 0 0 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 2 -2 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683286318244 0.691668578684 9 8 6 9 3201 2310 0132 2310 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 0 0 0 0 0 -2 2 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851793826718 0.576479490041 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_0101_2'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0011_9']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_9']), 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_1001_3']), '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' : negation(d['1']), 's_1_4' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0011_8'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_1'], '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_0011_8'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0110_9' : negation(d['c_0101_9']), 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_9']})} 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_0011_8, c_0011_9, c_0101_1, c_0101_2, c_0101_3, c_0101_9, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 42183053/126750400*c_1001_3^6 - 16284483/3168760*c_1001_3^5 + 195170743/9053600*c_1001_3^4 - 2916237543/126750400*c_1001_3^3 - 144082143/4526800*c_1001_3^2 + 249879071/7921900*c_1001_3 + 7817287701/126750400, c_0011_0 - 1, c_0011_3 - 1, c_0011_8 - 1, c_0011_9 + 3906/282925*c_1001_3^6 - 11993/56585*c_1001_3^5 + 251854/282925*c_1001_3^4 - 322211/282925*c_1001_3^3 - 89133/282925*c_1001_3^2 + 308397/282925*c_1001_3 + 179927/282925, c_0101_1 - 8848/282925*c_1001_3^6 + 26883/56585*c_1001_3^5 - 561787/282925*c_1001_3^4 + 789713/282925*c_1001_3^3 - 60331/282925*c_1001_3^2 - 123006/282925*c_1001_3 - 416906/282925, c_0101_2 + 2841/282925*c_1001_3^6 - 9288/56585*c_1001_3^5 + 232294/282925*c_1001_3^4 - 467521/282925*c_1001_3^3 + 163987/282925*c_1001_3^2 + 252342/282925*c_1001_3 + 369247/282925, c_0101_3 - 2101/282925*c_1001_3^6 + 5602/56585*c_1001_3^5 - 77639/282925*c_1001_3^4 - 19/282925*c_1001_3^3 + 14523/282925*c_1001_3^2 + 437733/282925*c_1001_3 + 132268/282925, c_0101_9 - 6088/282925*c_1001_3^6 + 15888/56585*c_1001_3^5 - 208247/282925*c_1001_3^4 - 21197/282925*c_1001_3^3 + 331714/282925*c_1001_3^2 + 285264/282925*c_1001_3 + 164389/282925, c_1001_0 - 2841/282925*c_1001_3^6 + 9288/56585*c_1001_3^5 - 232294/282925*c_1001_3^4 + 467521/282925*c_1001_3^3 - 163987/282925*c_1001_3^2 - 252342/282925*c_1001_3 - 369247/282925, c_1001_3^7 - 16*c_1001_3^6 + 74*c_1001_3^5 - 115*c_1001_3^4 - 12*c_1001_3^3 + 80*c_1001_3^2 + 105*c_1001_3 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB