Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 2345277181] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3031 geometric_solution 6.20308493 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 0 1 -1 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 1 1 -2 1 0 0 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116312839831 0.942951942506 0 4 6 5 0132 0132 0132 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 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.090801765238 1.184639243882 0 0 3 5 2310 0132 1302 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 -1 1 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 0.871148211569 1.044605603073 2 4 0 4 2031 3201 0132 2310 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 -1 2 -1 -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 0.425009254922 0.377665323155 3 1 3 5 3201 0132 2310 2031 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 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511438017407 0.727817273476 6 4 1 2 0213 1302 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.579363747831 0.456821970406 5 6 6 1 0213 1230 3012 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 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 1.316502591511 0.721671769298 ==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' : negation(d['1']), 's_3_5' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_6'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_0011_6, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1331/546*c_0110_4^5 + 326/91*c_0110_4^4 - 958/91*c_0110_4^3 + 387/91*c_0110_4^2 + 659/182*c_0110_4 + 1711/273, c_0011_0 - 1, c_0011_3 + 1, c_0011_5 + 4/13*c_0110_4^5 - 10/13*c_0110_4^4 + 25/13*c_0110_4^3 - 22/13*c_0110_4^2 - 6/13*c_0110_4 - 5/13, c_0011_6 - 4/13*c_0110_4^5 + 10/13*c_0110_4^4 - 25/13*c_0110_4^3 + 22/13*c_0110_4^2 + 6/13*c_0110_4 - 8/13, c_0101_1 - 9/13*c_0110_4^5 + 16/13*c_0110_4^4 - 40/13*c_0110_4^3 + 30/13*c_0110_4^2 + 20/13*c_0110_4 + 8/13, c_0101_4 - 9/13*c_0110_4^5 + 16/13*c_0110_4^4 - 40/13*c_0110_4^3 + 17/13*c_0110_4^2 + 20/13*c_0110_4 + 8/13, c_0110_4^6 - 2*c_0110_4^5 + 5*c_0110_4^4 - 4*c_0110_4^3 - c_0110_4^2 - 2*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_0011_5, c_0011_6, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5*c_0110_4^7 - 18*c_0110_4^6 + 2*c_0110_4^5 + 44*c_0110_4^4 - 20*c_0110_4^3 - 35*c_0110_4^2 + 17*c_0110_4 + 13, c_0011_0 - 1, c_0011_3 + 1, c_0011_5 - c_0110_4^5 + 2*c_0110_4^4 + c_0110_4^3 - 2*c_0110_4^2 + 1, c_0011_6 - c_0110_4^6 + 3*c_0110_4^5 - 6*c_0110_4^3 + 3*c_0110_4^2 + 3*c_0110_4 - 2, c_0101_1 + c_0110_4^7 - 4*c_0110_4^6 + 3*c_0110_4^5 + 5*c_0110_4^4 - 7*c_0110_4^3 + 4*c_0110_4 - 1, c_0101_4 + c_0110_4^5 - 2*c_0110_4^4 - 2*c_0110_4^3 + 4*c_0110_4^2 + c_0110_4 - 2, c_0110_4^8 - 4*c_0110_4^7 + 2*c_0110_4^6 + 8*c_0110_4^5 - 7*c_0110_4^4 - 5*c_0110_4^3 + 6*c_0110_4^2 + c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB