Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 3937105903] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3470 geometric_solution 6.68200440 oriented_manifold CS_known 0.0000000000000000 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 0 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 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 4 3 0132 3201 0132 0132 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 0 0 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 6 5 3201 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 1 0 -1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.070668057828 0.997499887520 5 4 1 4 0132 3012 0132 1302 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.149203227383 3 6 3 1 1230 0132 2031 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.149203227383 3 6 2 6 0132 3012 0132 1302 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 -1 1 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 0.500000000000 1.149203227383 5 4 5 2 1230 0132 2031 0132 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 -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 0.500000000000 1.149203227383 ==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' : negation(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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0011_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_4, c_0101_5, c_0101_6 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 + c_0011_4 - 1/2, c_0011_4^2 - 1/2*c_0011_4 + 3/4, c_0101_0 + 1/2, c_0101_4 + 1/2, c_0101_5 - 1/2, c_0101_6 - 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 19/9*c_0101_6^5 + 32/3*c_0101_6^4 - 68/3*c_0101_6^3 + 187/9*c_0101_6^2 - 29/3*c_0101_6 - 11/9, c_0011_0 - 1, c_0011_3 - 1/11*c_0101_6^5 + 8/11*c_0101_6^4 - 24/11*c_0101_6^3 + 29/11*c_0101_6^2 - 9/11*c_0101_6 + 10/11, c_0011_4 - 1/11*c_0101_6^5 + 8/11*c_0101_6^4 - 24/11*c_0101_6^3 + 29/11*c_0101_6^2 - 9/11*c_0101_6 + 10/11, c_0101_0 - 1/11*c_0101_6^5 - 3/11*c_0101_6^4 + 20/11*c_0101_6^3 - 37/11*c_0101_6^2 + 13/11*c_0101_6 - 12/11, c_0101_4 - 7/11*c_0101_6^5 + 34/11*c_0101_6^4 - 69/11*c_0101_6^3 + 60/11*c_0101_6^2 - 41/11*c_0101_6 + 26/11, c_0101_5 - 2/11*c_0101_6^5 + 5/11*c_0101_6^4 - 4/11*c_0101_6^3 - 8/11*c_0101_6^2 + 4/11*c_0101_6 - 13/11, c_0101_6^6 - 5*c_0101_6^5 + 11*c_0101_6^4 - 12*c_0101_6^3 + 10*c_0101_6^2 - 5*c_0101_6 + 3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 60*c_0101_6^4 + 119/4*c_0101_6^2 - 175/4, c_0011_0 - 1, c_0011_3 + 5*c_0101_6^5 + c_0101_6^4 + 61/16*c_0101_6^3 + 25/16*c_0101_6^2 - 41/16*c_0101_6 - 5/16, c_0011_4 + 5*c_0101_6^5 + c_0101_6^4 + 61/16*c_0101_6^3 + 25/16*c_0101_6^2 - 41/16*c_0101_6 - 5/16, c_0101_0 + 5*c_0101_6^5 - c_0101_6^4 + 61/16*c_0101_6^3 - 25/16*c_0101_6^2 - 41/16*c_0101_6 + 5/16, c_0101_4 + c_0101_6, c_0101_5 - 5*c_0101_6^5 + c_0101_6^4 - 61/16*c_0101_6^3 + 25/16*c_0101_6^2 + 41/16*c_0101_6 - 5/16, c_0101_6^6 + 9/16*c_0101_6^4 - 5/8*c_0101_6^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB