Magma V2.19-8 Tue Aug 20 2013 23:51:10 on localhost [Seed = 1511797080] Type ? for help. Type -D to quit. Loading file "L13n10315__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10315 geometric_solution 11.39824805 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 1 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 -1 -1 2 0 0 0 0 0 1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622412069911 1.011080240691 0 5 7 6 0132 0132 0132 0132 2 2 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 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 0.541733280444 1.184010071227 3 0 5 8 1023 0132 0132 0132 2 2 0 1 0 -1 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 0 0 0 0 1 0 -1 1 0 -1 0 2 -1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014052642292 0.737982141815 5 2 9 0 0132 1023 0132 0132 2 2 0 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 -1 0 1 0 0 0 0 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014052642292 0.737982141815 9 7 0 10 1302 0132 0132 0132 2 2 2 1 0 -1 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 0 2 -2 0 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014052642292 0.737982141815 3 1 10 2 0132 0132 1302 0132 2 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 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 0.622412069911 1.011080240691 10 8 1 11 1302 2103 0132 0132 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -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 0.693035482689 0.762514816977 9 4 11 1 0321 0132 3201 0132 2 2 1 2 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 -2 2 0 1 0 -2 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 0.693035482689 0.762514816977 10 6 2 9 3012 2103 0132 3012 2 2 2 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140052144625 1.284677974810 7 4 8 3 0321 2031 1230 0132 2 2 1 2 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 2 -1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140052144625 1.284677974810 5 6 4 8 2031 2031 0132 1230 2 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 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 0.355305811805 0.469179584942 7 11 6 11 2310 1302 0132 2031 2 2 2 2 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 2 0 0 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240287382272 0.887238124899 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : 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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0110_8'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0110_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : 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' : 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' : 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_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : d['c_0011_8'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_10']), 'c_1100_9' : d['c_0110_8'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_4, c_0011_6, c_0011_8, c_0011_9, c_0101_10, c_0101_11, c_0101_7, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1154200593/60636125*c_1001_1^5 - 3138840908/133399475*c_1001_1^4 - 47469364216/666997375*c_1001_1^3 + 161119690806/666997375*c_1001_1^2 - 184727603123/666997375*c_1001_1 + 90209702852/666997375, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 3685/8018*c_1001_1^5 - 126/4009*c_1001_1^4 - 16745/8018*c_1001_1^3 + 24617/8018*c_1001_1^2 - 18155/8018*c_1001_1 + 7419/8018, c_0011_4 + 4279/4009*c_1001_1^5 - 15826/4009*c_1001_1^4 + 29322/4009*c_1001_1^3 - 31873/4009*c_1001_1^2 + 18470/4009*c_1001_1 - 8187/4009, c_0011_6 - 363/8018*c_1001_1^5 - 7491/4009*c_1001_1^4 + 37551/8018*c_1001_1^3 - 48331/8018*c_1001_1^2 + 32185/8018*c_1001_1 - 14517/8018, c_0011_8 - 3685/8018*c_1001_1^5 + 126/4009*c_1001_1^4 + 16745/8018*c_1001_1^3 - 24617/8018*c_1001_1^2 + 10137/8018*c_1001_1 - 7419/8018, c_0011_9 + 1, c_0101_10 - 7579/8018*c_1001_1^5 + 11975/4009*c_1001_1^4 - 30901/8018*c_1001_1^3 + 19641/8018*c_1001_1^2 - 3229/8018*c_1001_1 - 1329/8018, c_0101_11 + 2959/8018*c_1001_1^5 - 15108/4009*c_1001_1^4 + 58357/8018*c_1001_1^3 - 72045/8018*c_1001_1^2 + 38197/8018*c_1001_1 - 21615/8018, c_0101_7 - 3608/4009*c_1001_1^5 + 19466/4009*c_1001_1^4 - 34226/4009*c_1001_1^3 + 33986/4009*c_1001_1^2 - 17707/4009*c_1001_1 + 10603/4009, c_0110_8 + 363/8018*c_1001_1^5 + 7491/4009*c_1001_1^4 - 37551/8018*c_1001_1^3 + 48331/8018*c_1001_1^2 - 24167/8018*c_1001_1 + 14517/8018, c_1001_1^6 - 46/11*c_1001_1^5 + 93/11*c_1001_1^4 - 111/11*c_1001_1^3 + 87/11*c_1001_1^2 - 45/11*c_1001_1 + 16/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB