Magma V2.19-8 Tue Aug 20 2013 16:19:15 on localhost [Seed = 1073864009] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3365 geometric_solution 6.52696984 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 -1 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 1 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 0.721942860289 0.485760294096 0 4 2 5 0132 1302 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 0 1 -1 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 0.461436466876 0.609066959085 3 0 6 1 2031 0132 0132 0132 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 -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 0.461436466876 0.609066959085 6 4 2 0 0321 1023 1302 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705981885837 0.458484726929 3 5 0 1 1023 2103 0132 2031 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 -1 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 0.705981885837 0.458484726929 6 4 1 6 1302 2103 0132 3012 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 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 0.209715030549 1.043126188992 3 5 5 2 0321 2031 1230 0132 0 0 0 0 0 0 1 -1 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 0.209715030549 1.043126188992 ==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' : 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' : 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_0110_5'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_5'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], '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_0011_3'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0011_3'], '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_0011_6, c_0101_1, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 9*c_0110_5^7 + 30*c_0110_5^6 + 8*c_0110_5^5 - 67*c_0110_5^4 - 54*c_0110_5^3 + 26*c_0110_5^2 + 58*c_0110_5 + 20, c_0011_0 - 1, c_0011_3 - 5/3*c_0110_5^7 + 19/3*c_0110_5^6 - 4/3*c_0110_5^5 - 12*c_0110_5^4 - 5*c_0110_5^3 + 23/3*c_0110_5^2 + 8*c_0110_5 + 4/3, c_0011_5 - 5/3*c_0110_5^7 + 16/3*c_0110_5^6 + 8/3*c_0110_5^5 - 14*c_0110_5^4 - 11*c_0110_5^3 + 20/3*c_0110_5^2 + 12*c_0110_5 + 10/3, c_0011_6 - 5/3*c_0110_5^7 + 16/3*c_0110_5^6 + 8/3*c_0110_5^5 - 14*c_0110_5^4 - 11*c_0110_5^3 + 20/3*c_0110_5^2 + 12*c_0110_5 + 10/3, c_0101_1 - 16/3*c_0110_5^7 + 56/3*c_0110_5^6 + 4/3*c_0110_5^5 - 38*c_0110_5^4 - 29*c_0110_5^3 + 61/3*c_0110_5^2 + 32*c_0110_5 + 29/3, c_0110_4 + 16/3*c_0110_5^7 - 56/3*c_0110_5^6 - 4/3*c_0110_5^5 + 38*c_0110_5^4 + 29*c_0110_5^3 - 61/3*c_0110_5^2 - 32*c_0110_5 - 29/3, c_0110_5^8 - 3*c_0110_5^7 - 2*c_0110_5^6 + 7*c_0110_5^5 + 9*c_0110_5^4 - c_0110_5^3 - 8*c_0110_5^2 - 5*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB