Magma V2.19-8 Tue Aug 20 2013 23:44:42 on localhost [Seed = 1646528479] Type ? for help. Type -D to quit. Loading file "L14n43962__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43962 geometric_solution 10.92939669 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 2 1 2 2 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 -1 1 0 0 2 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501988738873 1.253797310549 0 5 5 6 0132 0132 1023 0132 1 1 2 2 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 -3 0 3 0 0 0 0 1 6 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516857311821 1.032679377207 2 0 2 4 2310 0132 3201 2031 2 2 2 2 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 0 0 7 -7 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425629742548 0.479532099747 7 8 5 0 0132 0132 2031 0132 2 1 2 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 -1 0 3 -2 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384119617094 0.897151894290 6 2 0 5 1023 1302 0132 3120 2 1 2 2 0 1 0 -1 -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 7 -1 -6 -3 0 2 1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724786934447 0.687388729462 4 1 1 3 3120 0132 1023 1302 1 1 2 2 0 1 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 3 0 -3 -1 0 0 1 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516857311821 1.032679377207 9 4 1 10 0132 1023 0132 0132 1 1 2 2 0 1 -1 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 3 -3 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520085709054 0.757607957683 3 9 9 10 0132 0213 0132 2103 0 1 1 2 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 -2 1 1 0 0 -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 0.557388523591 0.844977542510 10 3 9 10 0213 0132 3012 3201 2 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 0 0 0 1 -1 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 0.557388523591 0.844977542510 6 8 7 7 0132 1230 0213 0132 0 1 2 2 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 -1 2 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 0.456030663360 0.824634619877 8 8 6 7 0213 2310 0132 2103 1 1 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 0 0 0 0 0 0 0 -1 0 0 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 0.456030663360 0.824634619877 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0110_4'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : d['c_0110_10'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_0_8' : negation(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' : 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' : negation(d['c_0110_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : negation(d['c_0101_3']), 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0110_4']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(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' : negation(d['c_0011_3']), '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_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], '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' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0110_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 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_2, c_0101_3, c_0101_5, c_0110_10, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 34413/827912*c_0110_10^6 - 361621/1655824*c_0110_10^5 - 3754887/827912*c_0110_10^4 + 29903337/1655824*c_0110_10^3 - 54371021/1655824*c_0110_10^2 + 12904585/413956*c_0110_10 - 10855623/827912, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - 28631/103489*c_0110_10^6 - 500225/206978*c_0110_10^5 + 420961/103489*c_0110_10^4 - 694859/206978*c_0110_10^3 - 294981/206978*c_0110_10^2 + 250588/103489*c_0110_10 + 221451/103489, c_0011_4 + 58981/206978*c_0110_10^6 + 999239/413956*c_0110_10^5 - 487150/103489*c_0110_10^4 + 2385845/413956*c_0110_10^3 - 792579/413956*c_0110_10^2 + 59057/206978*c_0110_10 - 442195/206978, c_0101_0 - 1, c_0101_1 + 20256/103489*c_0110_10^6 + 163360/103489*c_0110_10^5 - 414466/103489*c_0110_10^4 + 459195/103489*c_0110_10^3 - 119565/103489*c_0110_10^2 - 70321/103489*c_0110_10 - 75291/103489, c_0101_2 - 11101/206978*c_0110_10^6 - 187719/413956*c_0110_10^5 + 86447/103489*c_0110_10^4 - 697873/413956*c_0110_10^3 + 205511/413956*c_0110_10^2 + 45829/206978*c_0110_10 - 38761/206978, c_0101_3 + 35380/103489*c_0110_10^6 + 294814/103489*c_0110_10^5 - 640340/103489*c_0110_10^4 + 677164/103489*c_0110_10^3 - 136064/103489*c_0110_10^2 - 146593/103489*c_0110_10 - 114524/103489, c_0101_5 - 20256/103489*c_0110_10^6 - 163360/103489*c_0110_10^5 + 414466/103489*c_0110_10^4 - 459195/103489*c_0110_10^3 + 119565/103489*c_0110_10^2 + 70321/103489*c_0110_10 + 75291/103489, c_0110_10^7 + 15/2*c_0110_10^6 - 25*c_0110_10^5 + 69/2*c_0110_10^4 - 37/2*c_0110_10^3 - 4*c_0110_10^2 + c_0110_10 + 4, c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB