Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 492601449] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2910 geometric_solution 6.11455816 oriented_manifold CS_known 0.0000000000000001 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 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 0 0 0 1.083738422410 1.505004142146 0 5 6 4 0132 0132 0132 0321 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 0.713905651852 0.629881261067 3 0 3 5 1230 0132 1023 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295132906336 0.484770132660 6 2 2 0 2031 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.286094348148 0.629881261067 6 1 0 5 1230 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.087143461039 0.878528743656 2 1 4 6 3120 0132 2031 2310 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 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 0.486576681878 0.386867696373 5 4 3 1 3201 3012 1302 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 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 0.369832770558 0.875122881079 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : d['c_0101_3'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(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' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0101_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: 5 Groebner basis: [ t - 17/56*c_0101_5^4 - 15/28*c_0101_5^3 - 45/28*c_0101_5^2 - 33/28*c_0101_5 - 121/56, c_0011_0 - 1, c_0011_3 - 1/2*c_0101_5^3 - 1/2*c_0101_5 + 1, c_0011_4 + 1/2*c_0101_5^3 + c_0101_5^2 + 3/2*c_0101_5 + 1, c_0011_6 + 1/2*c_0101_5^4 + c_0101_5^3 + 5/2*c_0101_5^2 + 2*c_0101_5 + 2, c_0101_1 + 1, c_0101_3 + 1/2*c_0101_5^4 + 1/2*c_0101_5^3 + 3/2*c_0101_5^2 + 1/2*c_0101_5 + 1, c_0101_5^5 + 2*c_0101_5^4 + 6*c_0101_5^3 + 6*c_0101_5^2 + 9*c_0101_5 + 4 ], 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: 8 Groebner basis: [ t + 16/11*c_0101_5^7 + 91/11*c_0101_5^6 + 172/11*c_0101_5^5 + 289/22*c_0101_5^4 + 17/2*c_0101_5^3 + 229/22*c_0101_5^2 + 219/22*c_0101_5 + 87/22, c_0011_0 - 1, c_0011_3 + 1/2*c_0101_5^7 + 2*c_0101_5^6 + 3/2*c_0101_5^5 - 1/2*c_0101_5^4 + 1/2*c_0101_5^3 + 2*c_0101_5^2 - 1/2*c_0101_5, c_0011_4 - 1/2*c_0101_5^7 - 3/2*c_0101_5^6 + 1/2*c_0101_5^4 - 1/2*c_0101_5^3 + c_0101_5 + 1/2, c_0011_6 - 1/2*c_0101_5^5 - 3/2*c_0101_5^4 - 1/2*c_0101_5^3 - 1/2*c_0101_5^2 - 1/2*c_0101_5, c_0101_1 + 1/2*c_0101_5^6 + 3/2*c_0101_5^5 + c_0101_5^2 - 1/2*c_0101_5 - 1/2, c_0101_3 - 1/2*c_0101_5^7 - 3/2*c_0101_5^6 + 1/2*c_0101_5^5 + 3/2*c_0101_5^4 - 3/2*c_0101_5^3 + c_0101_5, c_0101_5^8 + 4*c_0101_5^7 + 3*c_0101_5^6 + 3*c_0101_5^4 + 2*c_0101_5^3 - c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB