Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 4299975] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2204 geometric_solution 5.65624418 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.122561166877 0.744861766620 0 1 1 0 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.662358978622 0.562279512062 3 0 5 4 2310 0132 0132 0132 0 0 0 0 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 1 -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 0.122561166877 0.744861766620 5 4 2 0 1023 1023 3201 0132 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 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 0.122561166877 0.744861766620 3 4 2 4 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662358978622 0.562279512062 6 3 6 2 0132 1023 1023 0132 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 -1 1 1 0 -1 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 1.662358978622 0.562279512062 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 1 -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 1 -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 0.662358978622 0.562279512062 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : d['1'], 's_2_6' : 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_0_6' : 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_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(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_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], '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_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + c_0101_2^2 + 4*c_0101_2 + 4, c_0011_0 - 1, c_0011_3 - c_0101_2^2 - c_0101_2 + 1, c_0101_0 + c_0101_2^2 + c_0101_2 - 1, c_0101_1 + c_0101_2, c_0101_2^3 + 2*c_0101_2^2 - c_0101_2 - 1, c_0101_5 + 1, c_0110_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - c_0101_2^2 + 4*c_0101_2 - 4, c_0011_0 - 1, c_0011_3 - c_0101_2^2 + c_0101_2 + 1, c_0101_0 - c_0101_2^2 + c_0101_2 + 1, c_0101_1 + c_0101_2, c_0101_2^3 - 2*c_0101_2^2 - c_0101_2 + 1, c_0101_5 - 1, c_0110_4 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3185/16*c_0110_4^5 + 7889/8*c_0110_4^3 - 8813/16*c_0110_4, c_0011_0 - 1, c_0011_3 - 7/8*c_0110_4^4 + 7/2*c_0110_4^2 - 5/8, c_0101_0 + 7/4*c_0110_4^5 - 35/4*c_0110_4^3 + 9/2*c_0110_4, c_0101_1 + 7/16*c_0110_4^5 - 21/8*c_0110_4^3 + 47/16*c_0110_4, c_0101_2 + 7/16*c_0110_4^5 - 21/8*c_0110_4^3 + 47/16*c_0110_4, c_0101_5 + c_0110_4, c_0110_4^6 - 5*c_0110_4^4 + 3*c_0110_4^2 - 1/7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1017/38*c_0101_5*c_0110_4^6 - 185*c_0101_5*c_0110_4^4 - 14571/38*c_0101_5*c_0110_4^2 - 281/38*c_0101_5 + 796/19*c_0110_4^7 + 277*c_0110_4^5 + 9755/19*c_0110_4^3 - 3176/19*c_0110_4, c_0011_0 - 1, c_0011_3 + 8/19*c_0101_5*c_0110_4^7 + 3*c_0101_5*c_0110_4^5 + 120/19*c_0101_5*c_0110_4^3 + 12/19*c_0101_5*c_0110_4 - 1/19*c_0110_4^6 + 4/19*c_0110_4^2 + 8/19, c_0101_0 - 8/19*c_0110_4^7 - 3*c_0110_4^5 - 120/19*c_0110_4^3 + 7/19*c_0110_4, c_0101_1 - 6/19*c_0110_4^7 - 2*c_0110_4^5 - 71/19*c_0110_4^3 + 10/19*c_0110_4, c_0101_2 + c_0101_5 - c_0110_4, c_0101_5^2 - 8/19*c_0101_5*c_0110_4^7 - 3*c_0101_5*c_0110_4^5 - 120/19*c_0101_5*c_0110_4^3 - 50/19*c_0101_5*c_0110_4 + c_0110_4^2, c_0110_4^8 + 7*c_0110_4^6 + 15*c_0110_4^4 + 2*c_0110_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB