Magma V2.19-8 Tue Aug 20 2013 16:17:47 on localhost [Seed = 3852761351] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2016 geometric_solution 5.56312171 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278030447225 0.190023265872 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 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 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 0.270413179905 1.485522535284 1 4 5 3 0132 0132 0132 1230 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 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 0.775835852805 1.320255552239 2 5 4 1 3012 1023 3201 0132 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 0 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775835852805 1.320255552239 3 2 4 4 2310 0132 2031 1302 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 0 0 0 0.377635824951 0.407278546556 3 6 6 2 1023 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 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581438756689 0.437033789706 5 5 6 6 2310 0132 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 -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 1.605379235158 0.682251853374 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['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_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), '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_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 635542710876009259179201/191479714000083426532967*c_0101_6^19 - 44630077155290558601216266/191479714000083426532967*c_0101_6^17 + 937850535077559605959916821/191479714000083426532967*c_0101_6^15 - 5188403690704756368020852177/191479714000083426532967*c_0101_6^13 + 1666713715747223001371611830/191479714000083426532967*c_0101_6^11 + 7853735420044374935429898759/191479714000083426532967*c_0101_6^9 - 3586923354964047739333319135/191479714000083426532967*c_0101_6^7 - 2760181187543406668859775868/191479714000083426532967*c_0101_6^5 + 1411571229254613476784844578/191479714000083426532967*c_0101_6^3 - 130968931622511089164171172/191479714000083426532967*c_0101_6, c_0011_0 - 1, c_0011_1 - 1798448451860030522/1582476975207301045727*c_0101_6^18 + 124621158726450961209/1582476975207301045727*c_0101_6^16 - 2538275186774872223088/1582476975207301045727*c_0101_6^14 + 12339565888839924816967/1582476975207301045727*c_0101_6^12 + 6344732260975881441819/1582476975207301045727*c_0101_6^10 - 13123597178804530198547/1582476975207301045727*c_0101_6^8 - 10416838815258680530804/1582476975207301045727*c_0101_6^6 + 4883545149737806207915/1582476975207301045727*c_0101_6^4 + 3206811983342898674189/1582476975207301045727*c_0101_6^2 - 952331052797045984004/1582476975207301045727, c_0011_3 + 1527185695010108796/1582476975207301045727*c_0101_6^18 - 109668335424222655937/1582476975207301045727*c_0101_6^16 + 2424262569614678328255/1582476975207301045727*c_0101_6^14 - 16075157079073718898728/1582476975207301045727*c_0101_6^12 + 24476633075202700695330/1582476975207301045727*c_0101_6^10 + 7864710851800559341118/1582476975207301045727*c_0101_6^8 - 30036792294486694254173/1582476975207301045727*c_0101_6^6 + 2935626955864562315367/1582476975207301045727*c_0101_6^4 + 6873452130198228800094/1582476975207301045727*c_0101_6^2 + 39281252746487230416/1582476975207301045727, c_0101_0 - 19752104431425070355/1582476975207301045727*c_0101_6^19 + 1380246873470709221094/1582476975207301045727*c_0101_6^17 - 28668577007244246735835/1582476975207301045727*c_0101_6^15 + 151167887529903535615617/1582476975207301045727*c_0101_6^13 + 4468387758461773546204/1582476975207301045727*c_0101_6^11 - 267842847356277830149923/1582476975207301045727*c_0101_6^9 + 47297723421498610705173/1582476975207301045727*c_0101_6^7 + 113520782087867004501563/1582476975207301045727*c_0101_6^5 - 26887961421666541931514/1582476975207301045727*c_0101_6^3 + 551944878210161597386/1582476975207301045727*c_0101_6, c_0101_3 + 1559958839385398143/1582476975207301045727*c_0101_6^19 - 111915178992531260683/1582476975207301045727*c_0101_6^17 + 2465084896853669390559/1582476975207301045727*c_0101_6^15 - 16002888165648965906914/1582476975207301045727*c_0101_6^13 + 18713829317318381564659/1582476975207301045727*c_0101_6^11 + 37444900012498198266456/1582476975207301045727*c_0101_6^9 - 35777673103260711573665/1582476975207301045727*c_0101_6^7 - 22508187294760039211208/1582476975207301045727*c_0101_6^5 + 13473011281667891221606/1582476975207301045727*c_0101_6^3 + 2346745117019858083798/1582476975207301045727*c_0101_6, c_0101_4 + 5590873209324117783/1582476975207301045727*c_0101_6^18 - 391848070866480824959/1582476975207301045727*c_0101_6^16 + 8196976201973996962499/1582476975207301045727*c_0101_6^14 - 44537471703419572797421/1582476975207301045727*c_0101_6^12 + 8940001834375631777177/1582476975207301045727*c_0101_6^10 + 66854874235606198725718/1582476975207301045727*c_0101_6^8 - 11141582374227499999712/1582476975207301045727*c_0101_6^6 - 25873961601810955673026/1582476975207301045727*c_0101_6^4 + 307382899039173343951/1582476975207301045727*c_0101_6^2 + 267690321576279523732/1582476975207301045727, c_0101_6^20 - 70*c_0101_6^18 + 1460*c_0101_6^16 - 7836*c_0101_6^14 + 843*c_0101_6^12 + 12693*c_0101_6^10 - 2814*c_0101_6^8 - 5208*c_0101_6^6 + 1099*c_0101_6^4 + 134*c_0101_6^2 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB