Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 122067509] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2764 geometric_solution 5.99915657 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.008623696278 0.549145732047 0 2 3 0 0132 0132 0132 3201 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 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 0.217319881256 0.846958534763 3 1 4 5 2310 0132 0132 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 -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 -0.093092317148 0.787045477902 6 5 2 1 0132 1023 3201 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.093092317148 0.787045477902 5 6 6 2 3201 1230 3012 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 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 0.491754574133 1.057030772014 3 6 2 4 1023 2310 0132 2310 0 0 0 0 0 1 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120065910996 0.914942252944 3 4 4 5 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491754574133 1.057030772014 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 57773/6266*c_0101_2*c_0101_4^6 - 82451/6266*c_0101_2*c_0101_4^5 - 530883/12532*c_0101_2*c_0101_4^4 - 1960639/25064*c_0101_2*c_0101_4^3 - 1185527/25064*c_0101_2*c_0101_4^2 - 825835/12532*c_0101_2*c_0101_4 - 32608/3133*c_0101_2, c_0011_0 - 1, c_0011_3 - 618/3133*c_0101_2*c_0101_4^6 - 1790/3133*c_0101_2*c_0101_4^5 - 4375/3133*c_0101_2*c_0101_4^4 - 18991/6266*c_0101_2*c_0101_4^3 - 21019/6266*c_0101_2*c_0101_4^2 - 10526/3133*c_0101_2*c_0101_4 - 4333/3133*c_0101_2, c_0011_4 + 618/3133*c_0101_2*c_0101_4^6 + 1790/3133*c_0101_2*c_0101_4^5 + 4375/3133*c_0101_2*c_0101_4^4 + 18991/6266*c_0101_2*c_0101_4^3 + 21019/6266*c_0101_2*c_0101_4^2 + 10526/3133*c_0101_2*c_0101_4 + 4333/3133*c_0101_2, c_0101_0 + 497/3133*c_0101_4^6 + 1328/3133*c_0101_4^5 + 5739/6266*c_0101_4^4 + 26145/12532*c_0101_4^3 + 7846/3133*c_0101_4^2 + 6346/3133*c_0101_4 + 5406/3133, c_0101_1 + 618/3133*c_0101_4^6 + 1790/3133*c_0101_4^5 + 4375/3133*c_0101_4^4 + 18991/6266*c_0101_4^3 + 21019/6266*c_0101_4^2 + 7393/3133*c_0101_4 + 4333/3133, c_0101_2^2 + 121/3133*c_0101_4^6 + 462/3133*c_0101_4^5 + 3011/6266*c_0101_4^4 + 11837/12532*c_0101_4^3 + 5327/6266*c_0101_4^2 + 4180/3133*c_0101_4 + 2060/3133, c_0101_4^7 + 2*c_0101_4^6 + 11/2*c_0101_4^5 + 45/4*c_0101_4^4 + 21/2*c_0101_4^3 + 11*c_0101_4^2 + 6*c_0101_4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB