Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 2699115634] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1282 geometric_solution 5.17611604 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 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 0 0 0 1.990547121749 2.740998613070 0 5 6 4 0132 0132 0132 1230 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 -1 0 1 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 0.283614610156 0.403690821895 5 0 3 6 2310 0132 3012 3201 0 0 0 0 0 1 0 -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 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 0.283614610156 0.403690821895 4 2 4 0 1230 1230 2031 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 1 0 -1 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 -0.577529639653 0.754381378592 1 3 0 3 3012 3012 0132 1302 0 0 0 0 0 1 -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 0 0 0 0 0 -1 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 0 0 0 0 -0.577529639653 0.754381378592 5 1 2 5 3201 0132 3201 2310 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 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 -0.154864798037 1.090330019376 6 2 6 1 2310 2310 3201 0132 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 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 -0.154864798037 1.090330019376 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : 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' : 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_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0101_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_0011_6, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3197325/137*c_0101_5^14 + 18026054/137*c_0101_5^12 - 37847388/137*c_0101_5^10 + 42939718/137*c_0101_5^8 - 29558433/137*c_0101_5^6 + 12486805/137*c_0101_5^4 - 2866958/137*c_0101_5^2 + 260625/137, c_0011_0 - 1, c_0011_3 + 36550/137*c_0101_5^15 - 213186/137*c_0101_5^13 + 472658/137*c_0101_5^11 - 574013/137*c_0101_5^9 + 429736/137*c_0101_5^7 - 202044/137*c_0101_5^5 + 54740/137*c_0101_5^3 - 6527/137*c_0101_5, c_0011_4 + 36550/137*c_0101_5^15 - 213186/137*c_0101_5^13 + 472658/137*c_0101_5^11 - 574013/137*c_0101_5^9 + 429736/137*c_0101_5^7 - 202044/137*c_0101_5^5 + 54740/137*c_0101_5^3 - 6527/137*c_0101_5, c_0011_6 - 7075/137*c_0101_5^14 + 38549/137*c_0101_5^12 - 76417/137*c_0101_5^10 + 80669/137*c_0101_5^8 - 50998/137*c_0101_5^6 + 18830/137*c_0101_5^4 - 3026/137*c_0101_5^2 - 45/137, c_0101_1 - 25*c_0101_5^15 + 153*c_0101_5^13 - 364*c_0101_5^11 + 479*c_0101_5^9 - 394*c_0101_5^7 + 210*c_0101_5^5 - 70*c_0101_5^3 + 12*c_0101_5, c_0101_3 - 50450/137*c_0101_5^14 + 295554/137*c_0101_5^12 - 657293/137*c_0101_5^10 + 794653/137*c_0101_5^8 - 586342/137*c_0101_5^6 + 269213/137*c_0101_5^4 - 70186/137*c_0101_5^2 + 7720/137, c_0101_5^16 - 153/25*c_0101_5^14 + 364/25*c_0101_5^12 - 479/25*c_0101_5^10 + 394/25*c_0101_5^8 - 42/5*c_0101_5^6 + 14/5*c_0101_5^4 - 13/25*c_0101_5^2 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB