Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 4256981444] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0227 geometric_solution 4.12441143 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 1 0 -1 0 1 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106946315238 0.354278297768 0 4 0 4 0132 0132 2310 2310 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 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 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.517655001859 2.485125007221 3 5 5 0 1023 0132 3201 0132 0 0 0 0 0 0 1 -1 1 0 0 -1 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546059518759 0.827642201957 5 2 0 5 2310 1023 0132 1023 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 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 0.546059518759 0.827642201957 1 1 6 6 3201 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207507736567 0.059707440126 2 2 3 3 2310 0132 3201 1023 0 0 0 0 0 0 0 0 1 0 0 -1 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 -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 1.444594456941 0.841807625075 6 4 6 4 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.130940862020 0.300478524663 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(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_6']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), '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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3653686444/1553577265*c_0110_4^12 - 8209644952/1553577265*c_0110_4^10 + 42922695239/3107154530*c_0110_4^8 - 8592932847/1553577265*c_0110_4^6 + 28856199677/3107154530*c_0110_4^4 - 178172834723/3107154530*c_0110_4^2 + 81306990947/1553577265, c_0011_0 - 1, c_0011_2 + 13252704/310715453*c_0110_4^12 + 935504/310715453*c_0110_4^10 + 18131748/310715453*c_0110_4^8 + 123333186/310715453*c_0110_4^6 + 78630109/310715453*c_0110_4^4 - 191820162/310715453*c_0110_4^2 - 50210660/310715453, c_0011_6 + 23930824/310715453*c_0110_4^12 - 48652776/310715453*c_0110_4^10 + 129420301/310715453*c_0110_4^8 - 11058665/310715453*c_0110_4^6 + 68981203/310715453*c_0110_4^4 - 674675225/310715453*c_0110_4^2 + 342205597/310715453, c_0101_0 - 214737624/310715453*c_0110_4^13 + 432194208/310715453*c_0110_4^11 - 1220851655/310715453*c_0110_4^9 + 297755660/310715453*c_0110_4^7 - 1037955495/310715453*c_0110_4^5 + 4764239474/310715453*c_0110_4^3 - 3941606315/310715453*c_0110_4, c_0101_1 - 251921152/310715453*c_0110_4^13 + 479911480/310715453*c_0110_4^11 - 1368403704/310715453*c_0110_4^9 + 185481139/310715453*c_0110_4^7 - 1185566807/310715453*c_0110_4^5 + 5630734861/310715453*c_0110_4^3 - 4233601252/310715453*c_0110_4, c_0101_5 - 241588608/310715453*c_0110_4^13 + 458847472/310715453*c_0110_4^11 - 1343013376/310715453*c_0110_4^9 + 203111702/310715453*c_0110_4^7 - 1322726354/310715453*c_0110_4^5 + 5454120298/310715453*c_0110_4^3 - 4134032304/310715453*c_0110_4, c_0110_4^14 - 2*c_0110_4^12 + 45/8*c_0110_4^10 - 5/4*c_0110_4^8 + 19/4*c_0110_4^6 - 181/8*c_0110_4^4 + 73/4*c_0110_4^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB