Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 1157945752] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1153 geometric_solution 5.03013619 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367987643317 0.238399220714 3 2 4 0 0132 3012 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 -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 -1.448243306813 0.428123437445 1 5 0 6 1230 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818768985150 0.377440157685 1 6 5 4 0132 2031 1230 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.455552889190 1.211417217186 3 5 6 1 3012 1023 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455552889190 1.211417217186 4 2 6 3 1023 0132 2310 3012 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 0 0 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 1.455552889190 1.211417217186 3 5 2 4 1302 3201 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 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 0.455552889190 1.211417217186 ==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' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_1100_0'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_6']), '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' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_5']), '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_0011_2, c_0011_6, c_0101_0, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3961/26728*c_1100_0^8 + 68443/26728*c_1100_0^7 - 383581/26728*c_1100_0^6 + 555547/13364*c_1100_0^5 - 59551/1028*c_1100_0^4 - 6605/13364*c_1100_0^3 + 2285559/26728*c_1100_0^2 - 955985/26728*c_1100_0 - 1839733/26728, c_0011_0 - 1, c_0011_1 + 49/2056*c_1100_0^8 - 389/2056*c_1100_0^7 + 1375/2056*c_1100_0^6 - 643/514*c_1100_0^5 + 194/257*c_1100_0^4 + 159/257*c_1100_0^3 - 1113/2056*c_1100_0^2 - 23/2056*c_1100_0 - 1059/2056, c_0011_2 - 83/2056*c_1100_0^8 + 575/2056*c_1100_0^7 - 1899/2056*c_1100_0^6 + 743/514*c_1100_0^5 - 117/514*c_1100_0^4 - 953/514*c_1100_0^3 + 2179/2056*c_1100_0^2 + 3081/2056*c_1100_0 + 1091/2056, c_0011_6 - 7/514*c_1100_0^8 + 259/2056*c_1100_0^7 - 503/1028*c_1100_0^6 + 1947/2056*c_1100_0^5 - 997/2056*c_1100_0^4 - 2893/2056*c_1100_0^3 + 3463/2056*c_1100_0^2 + 20/257*c_1100_0 - 1047/2056, c_0101_0 - 23/514*c_1100_0^8 + 297/1028*c_1100_0^7 - 845/1028*c_1100_0^6 + 226/257*c_1100_0^5 + 567/514*c_1100_0^4 - 1431/514*c_1100_0^3 - 65/514*c_1100_0^2 + 2429/1028*c_1100_0 + 391/1028, c_0101_5 + 7/514*c_1100_0^8 - 259/2056*c_1100_0^7 + 503/1028*c_1100_0^6 - 1947/2056*c_1100_0^5 + 997/2056*c_1100_0^4 + 2893/2056*c_1100_0^3 - 3463/2056*c_1100_0^2 - 277/257*c_1100_0 + 1047/2056, c_1100_0^9 - 7*c_1100_0^8 + 22*c_1100_0^7 - 30*c_1100_0^6 - 13*c_1100_0^5 + 71*c_1100_0^4 - 22*c_1100_0^3 - 66*c_1100_0^2 - 3*c_1100_0 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB