Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 2783197594] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s043 geometric_solution 3.58743007 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707633815244 0.074860276188 2 0 2 0 0132 2310 1023 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 -1 1 1 0 -1 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 0.894846157018 0.072982764946 1 3 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 -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 0.856938208030 0.171264057395 4 2 5 2 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 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 0.983066318253 0.509162643173 3 5 5 5 0132 1230 3012 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007017959401 0.974083425265 4 4 4 3 3201 1230 3012 0132 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 -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 1.007017959401 0.974083425265 ==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_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_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_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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_1']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : d['c_0011_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_4'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 897040250826/39759352805*c_0101_4^12 - 4554562922679/39759352805*c_0101_4^11 + 5888801242923/39759352805*c_0101_4^10 + 36118216870182/39759352805*c_0101_4^9 - 9643643169177/39759352805*c_0101_4^8 - 27984376518440/7951870561*c_0101_4^7 + 43555587502394/39759352805*c_0101_4^6 + 46134350888144/7951870561*c_0101_4^5 - 14876113191105/7951870561*c_0101_4^4 - 190413430597821/39759352805*c_0101_4^3 + 59088261019062/39759352805*c_0101_4^2 + 68209262171916/39759352805*c_0101_4 - 24847076144999/39759352805, c_0011_0 - 1, c_0011_1 + 1895057274/39759352805*c_0101_4^12 + 12974015393/39759352805*c_0101_4^11 + 8575391238/39759352805*c_0101_4^10 - 71744160029/39759352805*c_0101_4^9 - 102276136797/39759352805*c_0101_4^8 + 172688011569/39759352805*c_0101_4^7 + 232992857198/39759352805*c_0101_4^6 - 231974901464/39759352805*c_0101_4^5 - 213661679509/39759352805*c_0101_4^4 + 20661038457/7951870561*c_0101_4^3 + 9484966657/7951870561*c_0101_4^2 - 5791835270/7951870561*c_0101_4 + 15206099088/39759352805, c_0101_0 + 2026302338/39759352805*c_0101_4^12 + 11138615701/39759352805*c_0101_4^11 - 6471442444/39759352805*c_0101_4^10 - 71688439378/39759352805*c_0101_4^9 - 9867338194/39759352805*c_0101_4^8 + 238875002593/39759352805*c_0101_4^7 - 43847853029/39759352805*c_0101_4^6 - 337797925098/39759352805*c_0101_4^5 + 81040333247/39759352805*c_0101_4^4 + 55794331217/7951870561*c_0101_4^3 - 16835841031/7951870561*c_0101_4^2 - 28599912083/7951870561*c_0101_4 + 26582447516/39759352805, c_0101_1 + 2037568155/7951870561*c_0101_4^12 + 12217501881/7951870561*c_0101_4^11 - 1756055111/7951870561*c_0101_4^10 - 81684310459/7951870561*c_0101_4^9 - 55458888096/7951870561*c_0101_4^8 + 253490010199/7951870561*c_0101_4^7 + 137037863539/7951870561*c_0101_4^6 - 352746873240/7951870561*c_0101_4^5 - 176527030533/7951870561*c_0101_4^4 + 225755895429/7951870561*c_0101_4^3 + 90425392829/7951870561*c_0101_4^2 - 55880664385/7951870561*c_0101_4 + 1729646480/7951870561, c_0101_3 - 3745625912/39759352805*c_0101_4^12 - 23400359289/39759352805*c_0101_4^11 - 1758298729/39759352805*c_0101_4^10 + 153576983642/39759352805*c_0101_4^9 + 131546477846/39759352805*c_0101_4^8 - 463020204622/39759352805*c_0101_4^7 - 333345077759/39759352805*c_0101_4^6 + 690998551727/39759352805*c_0101_4^5 + 369800595902/39759352805*c_0101_4^4 - 99345650098/7951870561*c_0101_4^3 - 29170959959/7951870561*c_0101_4^2 + 32491583718/7951870561*c_0101_4 - 10153273019/39759352805, c_0101_4^13 + 5*c_0101_4^12 - 7*c_0101_4^11 - 40*c_0101_4^10 + 14*c_0101_4^9 + 157*c_0101_4^8 - 60*c_0101_4^7 - 260*c_0101_4^6 + 101*c_0101_4^5 + 217*c_0101_4^4 - 80*c_0101_4^3 - 80*c_0101_4^2 + 32*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB