Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 1360055682] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1247 geometric_solution 5.14228247 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 1 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 0 1 -1 0 0 1 -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 0.491083448922 0.328631950850 0 3 2 4 0132 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593536606532 0.941202172075 3 0 4 1 3201 0132 0132 3012 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 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 0.593536606532 0.941202172075 3 1 3 2 2310 0132 3201 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 0 0 1 0 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 -0.309304512116 1.127457320217 5 5 1 2 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.073228218601 1.642250597669 4 6 6 4 0132 0132 3201 3201 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.295956346771 0.377032064765 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.597508777644 0.513643873827 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 609869198407555691253/19706023076337976375*c_0110_2^17 - 8386654777629742587989/19706023076337976375*c_0110_2^15 - 6060606377973984916569/3941204615267595275*c_0110_2^13 + 21721218279501682898801/19706023076337976375*c_0110_2^11 + 276367136405358870410539/19706023076337976375*c_0110_2^9 + 107728345559502489258216/19706023076337976375*c_0110_2^7 + 18159731404743612702129/856783612014694625*c_0110_2^5 - 226582788927253304590417/19706023076337976375*c_0110_2^3 + 11291304445455183550129/19706023076337976375*c_0110_2, c_0011_0 - 1, c_0011_4 + 172141803005005692/172557119757775625*c_0110_2^17 - 2372762347870439221/172557119757775625*c_0110_2^15 - 1695686557926886191/34511423951555125*c_0110_2^13 + 6424328918811966014/172557119757775625*c_0110_2^11 + 77880581948315686521/172557119757775625*c_0110_2^9 + 27867893905151745124/172557119757775625*c_0110_2^7 + 5057671991396340606/7502483467729375*c_0110_2^5 - 68128582902562360488/172557119757775625*c_0110_2^3 + 4157677299437641556/172557119757775625*c_0110_2, c_0101_0 + 1844240122074889242/98530115381689881875*c_0110_2^16 - 24861860691376325371/98530115381689881875*c_0110_2^14 - 19697566297317637966/19706023076337976375*c_0110_2^12 + 40578969695461364489/98530115381689881875*c_0110_2^10 + 853825523195172715796/98530115381689881875*c_0110_2^8 + 560520900389058168849/98530115381689881875*c_0110_2^6 + 59107297254079579506/4283918060073473125*c_0110_2^4 - 393077618900922588313/98530115381689881875*c_0110_2^2 - 98726699028553377669/98530115381689881875, c_0101_1 + 3983039486532388161/98530115381689881875*c_0110_2^16 - 54631120679795283393/98530115381689881875*c_0110_2^14 - 39959662898080700653/19706023076337976375*c_0110_2^12 + 134261555679390040862/98530115381689881875*c_0110_2^10 + 1802665076521826934668/98530115381689881875*c_0110_2^8 + 759366361228380139867/98530115381689881875*c_0110_2^6 + 121526587522859773098/4283918060073473125*c_0110_2^4 - 1294746175561182678029/98530115381689881875*c_0110_2^2 + 21592381587120817073/98530115381689881875, c_0101_2 + 15264186101028/15794702037325*c_0110_2^17 - 209935156701519/15794702037325*c_0110_2^15 - 151621865830964/3158940407465*c_0110_2^13 + 545881868334151/15794702037325*c_0110_2^11 + 6919688525949829/15794702037325*c_0110_2^9 + 2683231100269396/15794702037325*c_0110_2^7 + 10419989825931372/15794702037325*c_0110_2^5 - 5720217879146072/15794702037325*c_0110_2^3 + 240525799556584/15794702037325*c_0110_2, c_0101_6 - 12647646053309454921/98530115381689881875*c_0110_2^16 + 173863996884569206898/98530115381689881875*c_0110_2^14 + 125857218562146917008/19706023076337976375*c_0110_2^12 - 447547904797683181407/98530115381689881875*c_0110_2^10 - 5735728138352045534298/98530115381689881875*c_0110_2^8 - 2265612589743340621962/98530115381689881875*c_0110_2^6 - 376130812902978482028/4283918060073473125*c_0110_2^4 + 4704452070455831132419/98530115381689881875*c_0110_2^2 - 179032395199605155628/98530115381689881875, c_0110_2^18 - 124/9*c_0110_2^16 - 148/3*c_0110_2^14 + 37*c_0110_2^12 + 4073/9*c_0110_2^10 + 494/3*c_0110_2^8 + 6097/9*c_0110_2^6 - 3524/9*c_0110_2^4 + 70/3*c_0110_2^2 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB