Magma V2.19-8 Tue Aug 20 2013 23:44:00 on localhost [Seed = 3448481830] Type ? for help. Type -D to quit. Loading file "L14n15476__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15476 geometric_solution 10.66021870 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 0 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 -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 0.643317208337 0.607473817257 0 5 3 6 0132 0132 0213 0132 1 0 0 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 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 0.725016086204 0.907853668694 4 0 5 7 3012 0132 0132 0132 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 0 0 0 0 1 -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 0.373948570124 1.011743876985 8 1 9 0 0132 0213 0132 0132 1 0 0 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 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 0.725016086204 0.907853668694 10 9 0 2 0132 0132 0132 1230 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 -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 0.373948570124 1.011743876985 10 1 8 2 2031 0132 2031 0132 1 1 1 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 -1 1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211619579330 0.727859177804 8 9 1 7 2103 2031 0132 0321 1 0 1 0 0 0 0 0 0 0 -1 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 -1 5 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.080511386009 0.969431643179 9 6 2 10 2031 0321 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 1 -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 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678590119320 0.869596796887 3 10 6 5 0132 0321 2103 1302 1 0 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 0 0 0 0 0 1 -1 -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 1.080511386009 0.969431643179 6 4 7 3 1302 0132 1302 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211619579330 0.727859177804 4 7 5 8 0132 1302 1302 0321 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 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 0.678590119320 0.869596796887 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_0']), '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : negation(d['c_1010_10']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_1010_10']), 'c_1100_10' : d['c_0011_6'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1010_10'], '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' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_6'], '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_0110_10' : d['c_0011_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_6'])})} 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_6, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_1001_0, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 219/95*c_1010_10^3 + 3269/95*c_1010_10^2 - 7089/95*c_1010_10 + 3654/95, c_0011_0 - 1, c_0011_10 - 2/19*c_1010_10^3 + 23/19*c_1010_10^2 + 30/19*c_1010_10 - 14/19, c_0011_3 - 4/19*c_1010_10^3 + 46/19*c_1010_10^2 + 41/19*c_1010_10 - 9/19, c_0011_6 + 9/19*c_1010_10^3 - 113/19*c_1010_10^2 + 17/19*c_1010_10 + 6/19, c_0101_0 - 1, c_0101_2 - 7/19*c_1010_10^3 + 90/19*c_1010_10^2 - 28/19*c_1010_10 - 11/19, c_0101_3 - 11/19*c_1010_10^3 + 136/19*c_1010_10^2 + 13/19*c_1010_10 - 20/19, c_0101_7 + 9/19*c_1010_10^3 - 113/19*c_1010_10^2 + 17/19*c_1010_10 + 25/19, c_1001_0 + 16/19*c_1010_10^3 - 203/19*c_1010_10^2 + 45/19*c_1010_10 + 17/19, c_1001_1 - 2/19*c_1010_10^3 + 23/19*c_1010_10^2 + 11/19*c_1010_10 - 14/19, c_1010_10^4 - 13*c_1010_10^3 + 7*c_1010_10^2 + c_1010_10 - 1 ], 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_6, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_1001_0, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 145415/392192*c_1010_10^7 - 406521/392192*c_1010_10^6 - 59815/49024*c_1010_10^5 + 3199/12256*c_1010_10^4 - 426581/196096*c_1010_10^3 - 268985/49024*c_1010_10^2 - 1771095/392192*c_1010_10 - 695239/392192, c_0011_0 - 1, c_0011_10 - c_1010_10, c_0011_3 - 83/1532*c_1010_10^7 - 113/766*c_1010_10^6 - 107/766*c_1010_10^5 + 205/766*c_1010_10^4 - 56/383*c_1010_10^3 - 418/383*c_1010_10^2 - 1243/1532*c_1010_10 + 250/383, c_0011_6 + 74/383*c_1010_10^7 + 343/766*c_1010_10^6 + 257/766*c_1010_10^5 - 385/766*c_1010_10^4 + 967/766*c_1010_10^3 + 1897/766*c_1010_10^2 + 929/766*c_1010_10 - 264/383, c_0101_0 - 1, c_0101_2 - 289/1532*c_1010_10^7 - 375/766*c_1010_10^6 - 511/766*c_1010_10^5 + 77/766*c_1010_10^4 - 518/383*c_1010_10^3 - 994/383*c_1010_10^2 - 4125/1532*c_1010_10 - 177/383, c_0101_3 - 101/766*c_1010_10^7 - 335/766*c_1010_10^6 - 385/766*c_1010_10^5 + 79/766*c_1010_10^4 - 471/766*c_1010_10^3 - 2353/766*c_1010_10^2 - 634/383*c_1010_10 + 87/383, c_0101_7 - 1, c_1001_0 + 83/1532*c_1010_10^7 + 113/766*c_1010_10^6 + 107/766*c_1010_10^5 - 205/766*c_1010_10^4 + 56/383*c_1010_10^3 + 418/383*c_1010_10^2 + 1243/1532*c_1010_10 - 250/383, c_1001_1 - 101/766*c_1010_10^7 - 335/766*c_1010_10^6 - 385/766*c_1010_10^5 + 79/766*c_1010_10^4 - 471/766*c_1010_10^3 - 1587/766*c_1010_10^2 - 634/383*c_1010_10 - 296/383, c_1010_10^8 + 3*c_1010_10^7 + 4*c_1010_10^6 + 6*c_1010_10^4 + 16*c_1010_10^3 + 17*c_1010_10^2 + 5*c_1010_10 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB