Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 3532869591] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3469 geometric_solution 6.68200440 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 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 0.070668057828 0.997499887520 0 0 4 3 0132 3201 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 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 -0.070668057828 0.997499887520 0 0 6 5 3201 0132 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.070668057828 0.997499887520 4 4 1 5 1302 1023 0132 2103 0 0 0 0 0 0 0 0 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 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 0.318335881034 0.731665243751 3 3 6 1 1023 2031 0321 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 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 1 -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 0.318335881034 0.731665243751 6 6 2 3 1302 1023 0132 2103 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318335881034 0.731665243751 5 5 4 2 1023 2031 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318335881034 0.731665243751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0110_3']), 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : negation(d['c_0110_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_5'], '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' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_5']})} 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_0011_5, c_0101_1, c_0101_4, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 256/45, c_0011_0 - 1, c_0011_3 + 2*c_0110_5 + 2, c_0011_5 + 2*c_0110_5 + 3/2, c_0101_1 - 1/2, c_0101_4 + 1/2, c_0110_3 + c_0110_5 + 7/4, c_0110_5^2 + 7/4*c_0110_5 + 15/16 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_1, c_0101_4, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 64/3, c_0011_0 - 1, c_0011_3 + 1/2, c_0011_5 - 1/2, c_0101_1 - c_0101_4 - 1/2, c_0101_4^2 + 1/2*c_0101_4 + 3/4, c_0110_3 + 1/2, c_0110_5 + 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_1, c_0101_4, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 60*c_0110_5^4 + 119/4*c_0110_5^2 - 175/4, c_0011_0 - 1, c_0011_3 - 5*c_0110_5^5 - c_0110_5^4 - 61/16*c_0110_5^3 - 25/16*c_0110_5^2 + 41/16*c_0110_5 + 5/16, c_0011_5 + 5*c_0110_5^5 + c_0110_5^4 + 61/16*c_0110_5^3 + 25/16*c_0110_5^2 - 41/16*c_0110_5 - 5/16, c_0101_1 - 5*c_0110_5^5 + c_0110_5^4 - 61/16*c_0110_5^3 + 25/16*c_0110_5^2 + 41/16*c_0110_5 - 5/16, c_0101_4 + 5*c_0110_5^5 - c_0110_5^4 + 61/16*c_0110_5^3 - 25/16*c_0110_5^2 - 41/16*c_0110_5 + 5/16, c_0110_3 - c_0110_5, c_0110_5^6 + 9/16*c_0110_5^4 - 5/8*c_0110_5^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB