Magma V2.19-8 Tue Aug 20 2013 17:56:35 on localhost [Seed = 2311601583] Type ? for help. Type -D to quit. Loading file "9^2_16__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_16 geometric_solution 10.56280631 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 3012 1 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 0 0 0 0 0 0 0 1 -1 0 1 0 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 1.014183549042 1.257436195021 0 3 5 4 0132 3120 0132 0132 1 1 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 0 2 0 -2 -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 0.460784200206 0.687834254135 3 0 0 6 2031 0132 1230 0132 1 1 1 1 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 -1 1 0 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611381351598 0.481829107782 6 1 2 0 1023 3120 1302 0132 1 1 1 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 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141627867976 0.589162662309 6 7 1 8 3012 0132 0132 0132 1 1 1 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 0 0 0 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 0 0 0 0 0 0 0.159076289062 1.269377434092 9 6 10 1 0132 3012 0132 0132 1 1 1 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 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159076289062 1.269377434092 5 3 2 4 1230 1023 0132 1230 1 1 1 1 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 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 0.705900289293 0.900460259446 9 4 10 10 1023 0132 1302 0321 1 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 0 2 -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 0.307136414529 0.802299894102 9 9 4 10 2103 1302 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 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 0.307136414529 0.802299894102 5 7 8 8 0132 1023 2103 2031 0 1 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 0 0 0 1 -2 1 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 0.307136414529 0.802299894102 7 7 8 5 2031 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -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 0.307136414529 0.802299894102 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : 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_0110_10' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_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' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_4']})} 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_10, c_0101_2, c_0101_5, c_0101_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 3977/361350*c_1100_1^4 - 12703/361350*c_1100_1^3 - 239/10950*c_1100_1^2 - 89213/361350*c_1100_1 - 31054/180675, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 6/73*c_1100_1^4 - 4/73*c_1100_1^3 - 12/73*c_1100_1^2 + 45/73*c_1100_1 - 86/73, c_0011_4 - c_1100_1, c_0101_0 - 10/73*c_1100_1^4 + 31/73*c_1100_1^3 - 53/73*c_1100_1^2 + 71/73*c_1100_1 + 46/73, c_0101_1 + 6/73*c_1100_1^4 - 4/73*c_1100_1^3 - 12/73*c_1100_1^2 + 45/73*c_1100_1 - 86/73, c_0101_10 - 1, c_0101_2 + 9/73*c_1100_1^4 - 6/73*c_1100_1^3 + 55/73*c_1100_1^2 + 31/73*c_1100_1 + 17/73, c_0101_5 - 6/73*c_1100_1^4 + 4/73*c_1100_1^3 + 12/73*c_1100_1^2 - 118/73*c_1100_1 + 86/73, c_0101_6 - 10/73*c_1100_1^4 + 31/73*c_1100_1^3 - 53/73*c_1100_1^2 + 71/73*c_1100_1 + 46/73, c_1100_1^5 - 2*c_1100_1^4 + 7*c_1100_1^3 - 2*c_1100_1^2 + 11 ], 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_10, c_0101_2, c_0101_5, c_0101_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 6631/31520*c_1100_1^5 - 1895/3152*c_1100_1^4 + 1297/31520*c_1100_1^3 + 121/15760*c_1100_1^2 + 8429/3940*c_1100_1 - 4335/6304, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 41/197*c_1100_1^5 + 112/197*c_1100_1^4 - 59/197*c_1100_1^3 + 54/197*c_1100_1^2 - 285/197*c_1100_1 + 191/197, c_0011_4 - c_1100_1, c_0101_0 - 6/197*c_1100_1^5 + 26/197*c_1100_1^4 + 25/197*c_1100_1^3 - 93/197*c_1100_1^2 - 133/197*c_1100_1 + 76/197, c_0101_1 - 41/197*c_1100_1^5 + 112/197*c_1100_1^4 - 59/197*c_1100_1^3 + 54/197*c_1100_1^2 - 285/197*c_1100_1 + 191/197, c_0101_10 + 1, c_0101_2 + 32/197*c_1100_1^5 - 73/197*c_1100_1^4 - 2/197*c_1100_1^3 - 95/197*c_1100_1^2 + 381/197*c_1100_1 - 77/197, c_0101_5 + 41/197*c_1100_1^5 - 112/197*c_1100_1^4 + 59/197*c_1100_1^3 - 54/197*c_1100_1^2 + 482/197*c_1100_1 - 191/197, c_0101_6 - 6/197*c_1100_1^5 + 26/197*c_1100_1^4 + 25/197*c_1100_1^3 - 93/197*c_1100_1^2 - 133/197*c_1100_1 + 76/197, c_1100_1^6 - 3*c_1100_1^5 + c_1100_1^4 - c_1100_1^3 + 10*c_1100_1^2 - 5*c_1100_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB