Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 1848636092] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1322 geometric_solution 5.20588574 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009366116452 1.020916638658 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909436585717 0.842856774887 4 3 0 1 2310 3201 0132 3012 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 -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 0.909436585717 0.842856774887 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863904531478 0.427247611368 4 1 2 4 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 0.510742501652 0.890111487563 6 3 6 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737982103391 0.148592067720 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647885493086 0.059258355962 ==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' : 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' : 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_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 5*c_0101_5^4 - 23*c_0101_5^3 + 23*c_0101_5^2 + 14*c_0101_5 - 18, c_0011_0 - 1, c_0011_1 + c_0101_5^3 - 2*c_0101_5^2 - c_0101_5 + 1, c_0101_0 + c_0101_5^4 - 3*c_0101_5^3 + 3*c_0101_5, c_0101_1 + c_0101_5^2 - c_0101_5 - 1, c_0101_4 - c_0101_5, c_0101_5^5 - 4*c_0101_5^4 + 2*c_0101_5^3 + 5*c_0101_5^2 - 2*c_0101_5 - 1, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 12/7*c_0101_6^9 + 18*c_0101_6^8 - 535/7*c_0101_6^7 + 1206/7*c_0101_6^6 - 1620/7*c_0101_6^5 + 1382/7*c_0101_6^4 - 724/7*c_0101_6^3 + 25*c_0101_6^2 + 19/7*c_0101_6 - 15/7, c_0011_0 - 1, c_0011_1 + c_0101_6^9 - 8*c_0101_6^8 + 22*c_0101_6^7 - 23*c_0101_6^6 + 5*c_0101_6^5 + 6*c_0101_6^4 - 9*c_0101_6^3 + c_0101_6^2 - 1, c_0101_0 + c_0101_6^9 - 8*c_0101_6^8 + 22*c_0101_6^7 - 23*c_0101_6^6 + 5*c_0101_6^5 + 6*c_0101_6^4 - 9*c_0101_6^3 + 2*c_0101_6 - 1, c_0101_1 + 3*c_0101_6^9 - 25*c_0101_6^8 + 73*c_0101_6^7 - 83*c_0101_6^6 + 17*c_0101_6^5 + 31*c_0101_6^4 - 32*c_0101_6^3 + 7*c_0101_6^2 + 5*c_0101_6 - 4, c_0101_4 + 3*c_0101_6^9 - 25*c_0101_6^8 + 73*c_0101_6^7 - 84*c_0101_6^6 + 23*c_0101_6^5 + 20*c_0101_6^4 - 26*c_0101_6^3 + 7*c_0101_6^2 + 3*c_0101_6 - 3, c_0101_5 - 2*c_0101_6^9 + 17*c_0101_6^8 - 51*c_0101_6^7 + 61*c_0101_6^6 - 17*c_0101_6^5 - 19*c_0101_6^4 + 23*c_0101_6^3 - 6*c_0101_6^2 - 3*c_0101_6 + 3, c_0101_6^10 - 9*c_0101_6^9 + 30*c_0101_6^8 - 45*c_0101_6^7 + 28*c_0101_6^6 + c_0101_6^5 - 15*c_0101_6^4 + 10*c_0101_6^3 - c_0101_6^2 - 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB