Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 1360055710] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0375 geometric_solution 4.43100833 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3.460567347412 0.540573731347 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.532726100628 0.041357681067 0 3 3 0 3201 0132 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 1 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 -0.588817997903 0.461365566638 2 2 4 5 2310 0132 0132 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 -1 1 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 0.197047480202 0.470646786868 6 5 5 3 0132 3012 2031 0132 0 0 0 0 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 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 0.772671501595 0.846130484205 4 6 3 4 1230 2310 0132 1302 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 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 0.772671501595 0.846130484205 4 6 6 5 0132 3201 2310 3201 0 0 0 0 0 -1 0 1 -1 0 1 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 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 0.296149092738 1.102284918052 ==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_4']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 9923908924214/70252784231*c_0101_4^18 - 141354109705590/70252784231*c_0101_4^17 - 798534876092616/70252784231*c_0101_4^16 - 2089254128072644/70252784231*c_0101_4^15 - 1487362174733546/70252784231*c_0101_4^14 + 4846346593632099/70252784231*c_0101_4^13 + 10615678561306215/70252784231*c_0101_4^12 + 65487691554188/70252784231*c_0101_4^11 - 18294212393834509/70252784231*c_0101_4^10 - 10758879615990154/70252784231*c_0101_4^9 + 14780482919657039/70252784231*c_0101_4^8 + 12866389700971078/70252784231*c_0101_4^7 - 1076840401164651/10036112033*c_0101_4^6 - 6507991247664035/70252784231*c_0101_4^5 + 435786999265339/10036112033*c_0101_4^4 + 1560251055497605/70252784231*c_0101_4^3 - 98824200362072/10036112033*c_0101_4^2 - 22889268725980/10036112033*c_0101_4 + 45894009021089/70252784231, c_0011_0 - 1, c_0011_2 + 684954194/10036112033*c_0101_4^18 + 10016842115/10036112033*c_0101_4^17 + 59648432094/10036112033*c_0101_4^16 + 176026387735/10036112033*c_0101_4^15 + 213735780516/10036112033*c_0101_4^14 - 164982750891/10036112033*c_0101_4^13 - 800993956156/10036112033*c_0101_4^12 - 612488329469/10036112033*c_0101_4^11 + 714772583335/10036112033*c_0101_4^10 + 1368746207096/10036112033*c_0101_4^9 + 182881111952/10036112033*c_0101_4^8 - 982708046520/10036112033*c_0101_4^7 - 507369778267/10036112033*c_0101_4^6 + 348827175030/10036112033*c_0101_4^5 + 276857623485/10036112033*c_0101_4^4 - 136954966974/10036112033*c_0101_4^3 - 86325793150/10036112033*c_0101_4^2 + 37516813050/10036112033*c_0101_4 + 5538249808/10036112033, c_0011_4 + 240541976/10036112033*c_0101_4^18 + 3001395125/10036112033*c_0101_4^17 + 12696222436/10036112033*c_0101_4^16 + 8282577675/10036112033*c_0101_4^15 - 97643300971/10036112033*c_0101_4^14 - 295904277780/10036112033*c_0101_4^13 - 148694489469/10036112033*c_0101_4^12 + 647769828912/10036112033*c_0101_4^11 + 974101428611/10036112033*c_0101_4^10 - 342559263311/10036112033*c_0101_4^9 - 1522749265322/10036112033*c_0101_4^8 - 389868731276/10036112033*c_0101_4^7 + 1066923887709/10036112033*c_0101_4^6 + 489160704439/10036112033*c_0101_4^5 - 421474863252/10036112033*c_0101_4^4 - 205509493228/10036112033*c_0101_4^3 + 128396283770/10036112033*c_0101_4^2 + 43102736288/10036112033*c_0101_4 - 16169995488/10036112033, c_0101_0 + 25155379099/10036112033*c_0101_4^18 + 356869104843/10036112033*c_0101_4^17 + 2003687393760/10036112033*c_0101_4^16 + 5180631650887/10036112033*c_0101_4^15 + 3468513127562/10036112033*c_0101_4^14 - 12511935949318/10036112033*c_0101_4^13 - 26282404098813/10036112033*c_0101_4^12 + 1224345161639/10036112033*c_0101_4^11 + 46413043059888/10036112033*c_0101_4^10 + 25093281031695/10036112033*c_0101_4^9 - 38659962011700/10036112033*c_0101_4^8 - 31028333730783/10036112033*c_0101_4^7 + 20213648896243/10036112033*c_0101_4^6 + 15681968842574/10036112033*c_0101_4^5 - 8074069517944/10036112033*c_0101_4^4 - 3628520573529/10036112033*c_0101_4^3 + 1767478845455/10036112033*c_0101_4^2 + 358583679602/10036112033*c_0101_4 - 113059413358/10036112033, c_0101_1 + 9313022088/10036112033*c_0101_4^18 + 133704732123/10036112033*c_0101_4^17 + 763503505111/10036112033*c_0101_4^16 + 2031996860274/10036112033*c_0101_4^15 + 1535964468643/10036112033*c_0101_4^14 - 4624537199299/10036112033*c_0101_4^13 - 10701128679245/10036112033*c_0101_4^12 - 766356304211/10036112033*c_0101_4^11 + 18326700813630/10036112033*c_0101_4^10 + 12274940079515/10036112033*c_0101_4^9 - 14486533197334/10036112033*c_0101_4^8 - 14884044837358/10036112033*c_0101_4^7 + 6963781912321/10036112033*c_0101_4^6 + 8050928201548/10036112033*c_0101_4^5 - 2835822240694/10036112033*c_0101_4^4 - 2199981433608/10036112033*c_0101_4^3 + 770363316399/10036112033*c_0101_4^2 + 253534099834/10036112033*c_0101_4 - 65707877969/10036112033, c_0101_3 + 12519934120/10036112033*c_0101_4^18 + 176763568385/10036112033*c_0101_4^17 + 986974247183/10036112033*c_0101_4^16 + 2534659508682/10036112033*c_0101_4^15 + 1677062284106/10036112033*c_0101_4^14 - 6042954076462/10036112033*c_0101_4^13 - 12486663593357/10036112033*c_0101_4^12 + 809274316228/10036112033*c_0101_4^11 + 21781049325151/10036112033*c_0101_4^10 + 11081589672218/10036112033*c_0101_4^9 - 18015685673464/10036112033*c_0101_4^8 - 13226954370378/10036112033*c_0101_4^7 + 9585372185822/10036112033*c_0101_4^6 + 6210811787504/10036112033*c_0101_4^5 - 3811246676946/10036112033*c_0101_4^4 - 1230348159168/10036112033*c_0101_4^3 + 743581429222/10036112033*c_0101_4^2 + 96253281033/10036112033*c_0101_4 - 38038513301/10036112033, c_0101_4^19 + 14*c_0101_4^18 + 77*c_0101_4^17 + 191*c_0101_4^16 + 99*c_0101_4^15 - 524*c_0101_4^14 - 951*c_0101_4^13 + 250*c_0101_4^12 + 1841*c_0101_4^11 + 641*c_0101_4^10 - 1742*c_0101_4^9 - 937*c_0101_4^8 + 1061*c_0101_4^7 + 471*c_0101_4^6 - 457*c_0101_4^5 - 83*c_0101_4^4 + 104*c_0101_4^3 - 8*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB