Magma V2.19-8 Tue Aug 20 2013 17:55:32 on localhost [Seed = 3499190016] Type ? for help. Type -D to quit. Loading file "8_11__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_11 geometric_solution 8.28631682 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715828724659 0.364990907023 0 2 3 5 0132 0213 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.187293957182 0.654748742121 5 0 1 6 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403166033124 0.934700664375 1 7 4 0 2103 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907856624904 0.830793332974 3 8 0 8 2103 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.645475568852 0.947134683230 2 6 1 6 0132 0321 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593283679295 0.460078920078 5 7 2 5 3120 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.052559415969 0.816237520628 8 3 6 8 3120 0132 0213 0132 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 4 0 1 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508659371109 0.720965708633 4 4 7 7 3120 0132 0132 3120 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 -1 0 5 -4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346637837827 0.926065144968 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_1001_8' : d['c_0011_4'], 's_2_8' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : 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_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : d['c_1001_5'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_3'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), '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_6'], '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_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0101_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_8, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 1/3*c_1001_5^2 + 4/3*c_1001_5 - 5/3, c_0011_0 - 1, c_0011_3 + c_1001_5 - 2, c_0011_4 + c_1001_5 - 1, c_0011_6 - c_1001_5^2 + 2*c_1001_5 - 2, c_0101_0 - c_1001_5 + 1, c_0101_1 - c_1001_5^2 + 2*c_1001_5 - 2, c_0101_8 - 1, c_1001_0 + c_1001_5^2 - 2*c_1001_5 + 2, c_1001_5^3 - 3*c_1001_5^2 + 4*c_1001_5 - 1 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_8, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 5825059/254512*c_1001_5^9 + 4385963/127256*c_1001_5^8 - 7789387/63628*c_1001_5^7 - 69423063/254512*c_1001_5^6 + 49370019/254512*c_1001_5^5 + 185364097/254512*c_1001_5^4 + 66385939/127256*c_1001_5^3 + 16508535/254512*c_1001_5^2 - 15336553/254512*c_1001_5 - 6975235/254512, c_0011_0 - 1, c_0011_3 + 9617/15907*c_1001_5^9 + 3843/15907*c_1001_5^8 - 62105/15907*c_1001_5^7 - 49588/15907*c_1001_5^6 + 177747/15907*c_1001_5^5 + 151832/15907*c_1001_5^4 - 62191/15907*c_1001_5^3 - 30869/15907*c_1001_5^2 + 33339/15907*c_1001_5 - 5490/15907, c_0011_4 - 2760/15907*c_1001_5^9 - 6204/15907*c_1001_5^8 + 14628/15907*c_1001_5^7 + 49456/15907*c_1001_5^6 - 18839/15907*c_1001_5^5 - 146516/15907*c_1001_5^4 - 80700/15907*c_1001_5^3 + 69404/15907*c_1001_5^2 + 568/15907*c_1001_5 - 27496/15907, c_0011_6 + 1943/15907*c_1001_5^9 + 702/15907*c_1001_5^8 - 15070/15907*c_1001_5^7 - 9319/15907*c_1001_5^6 + 51468/15907*c_1001_5^5 + 32578/15907*c_1001_5^4 - 56958/15907*c_1001_5^3 - 17299/15907*c_1001_5^2 + 18458/15907*c_1001_5 - 12365/15907, c_0101_0 + 6875/15907*c_1001_5^9 - 799/15907*c_1001_5^8 - 44391/15907*c_1001_5^7 - 14840/15907*c_1001_5^6 + 136519/15907*c_1001_5^5 + 52471/15907*c_1001_5^4 - 71129/15907*c_1001_5^3 - 29142/15907*c_1001_5^2 + 13570/15907*c_1001_5 - 1131/15907, c_0101_1 + 1943/15907*c_1001_5^9 + 702/15907*c_1001_5^8 - 15070/15907*c_1001_5^7 - 9319/15907*c_1001_5^6 + 51468/15907*c_1001_5^5 + 32578/15907*c_1001_5^4 - 56958/15907*c_1001_5^3 - 17299/15907*c_1001_5^2 + 18458/15907*c_1001_5 - 12365/15907, c_0101_8 - 7015/15907*c_1001_5^9 - 7815/15907*c_1001_5^8 + 45133/15907*c_1001_5^7 + 67375/15907*c_1001_5^6 - 116150/15907*c_1001_5^5 - 200069/15907*c_1001_5^4 + 9632/15907*c_1001_5^3 + 51797/15907*c_1001_5^2 - 40975/15907*c_1001_5 - 11560/15907, c_1001_0 + 8116/15907*c_1001_5^9 + 2613/15907*c_1001_5^8 - 52559/15907*c_1001_5^7 - 39106/15907*c_1001_5^6 + 154459/15907*c_1001_5^5 + 123030/15907*c_1001_5^4 - 63545/15907*c_1001_5^3 - 47600/15907*c_1001_5^2 + 45728/15907*c_1001_5 + 812/15907, c_1001_5^10 + c_1001_5^9 - 6*c_1001_5^8 - 9*c_1001_5^7 + 14*c_1001_5^6 + 26*c_1001_5^5 + 7*c_1001_5^4 - 5*c_1001_5^3 + 2*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB