Magma V2.19-8 Tue Aug 20 2013 16:19:15 on localhost [Seed = 1107550027] 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' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(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: 2 Groebner basis: [ t + 32/35, c_0011_0 - 1, c_0011_3 + 1/2, c_0011_5 + c_0110_4 - 1/2, c_0011_6 + c_0110_4 - 1, c_0101_1 - c_0110_4 + 3/2, c_0110_4^2 - 3/2*c_0110_4 + 7/4, c_0110_5 - 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_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 698439/5315*c_0110_5^7 - 388936/5315*c_0110_5^6 + 981896/5315*c_0110_5^5 + 2327019/5315*c_0110_5^4 + 652784/5315*c_0110_5^3 - 761312/5315*c_0110_5^2 - 98294/1063*c_0110_5 + 46572/5315, c_0011_0 - 1, c_0011_3 + 4935/1063*c_0110_5^7 - 983/1063*c_0110_5^6 - 9234/1063*c_0110_5^5 - 10452/1063*c_0110_5^4 + 7717/1063*c_0110_5^3 + 9015/1063*c_0110_5^2 - 1110/1063*c_0110_5 - 2292/1063, c_0011_5 - 4893/1063*c_0110_5^7 - 3110/1063*c_0110_5^6 + 7916/1063*c_0110_5^5 + 16732/1063*c_0110_5^4 + 3621/1063*c_0110_5^3 - 7242/1063*c_0110_5^2 - 2292/1063*c_0110_5 + 1404/1063, c_0011_6 + 4893/1063*c_0110_5^7 + 3110/1063*c_0110_5^6 - 7916/1063*c_0110_5^5 - 16732/1063*c_0110_5^4 - 3621/1063*c_0110_5^3 + 7242/1063*c_0110_5^2 + 2292/1063*c_0110_5 - 1404/1063, c_0101_1 - 224/1063*c_0110_5^7 - 2974/1063*c_0110_5^6 - 766/1063*c_0110_5^5 + 4066/1063*c_0110_5^4 + 7917/1063*c_0110_5^3 + 2237/1063*c_0110_5^2 - 990/1063*c_0110_5 - 579/1063, c_0110_4 + 224/1063*c_0110_5^7 + 2974/1063*c_0110_5^6 + 766/1063*c_0110_5^5 - 4066/1063*c_0110_5^4 - 7917/1063*c_0110_5^3 - 2237/1063*c_0110_5^2 + 990/1063*c_0110_5 + 579/1063, c_0110_5^8 + 5/7*c_0110_5^7 - 10/7*c_0110_5^6 - 25/7*c_0110_5^5 - 9/7*c_0110_5^4 + 9/7*c_0110_5^3 + 6/7*c_0110_5^2 - 1/7*c_0110_5 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB