Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 2665415597] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2685 geometric_solution 5.94565210 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 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 0.289614090723 0.525677547619 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541255127178 0.592906134775 5 4 0 3 1023 1023 0132 1023 0 0 0 0 0 0 -1 1 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 -1 0 1 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 0.541255127178 0.592906134775 3 1 3 2 2310 0132 3201 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 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 0.667321285639 1.965232640926 2 4 1 4 1023 2310 0132 3201 0 0 0 0 0 -1 0 1 0 0 0 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.174553386640 1.150297746302 6 2 6 1 0132 1023 2310 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 1.214514758325 0.381274261327 5 5 6 6 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595456719186 0.381841721216 ==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' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : 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_3']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : 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_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 154836652083597/16836196250505355*c_0110_2^12 - 133461830132/5783646942805*c_0110_2^11 + 2231812773840568/16836196250505355*c_0110_2^10 - 1320603494115975/3367239250101071*c_0110_2^9 + 15356657652578333/16836196250505355*c_0110_2^8 - 43318308443115273/16836196250505355*c_0110_2^7 + 13167147407089454/3367239250101071*c_0110_2^6 - 28373551860879626/3367239250101071*c_0110_2^5 + 196987401958826051/16836196250505355*c_0110_2^4 - 267934534559003424/16836196250505355*c_0110_2^3 + 411671366653792859/16836196250505355*c_0110_2^2 - 276690688492129106/16836196250505355*c_0110_2 + 406590187252053623/16836196250505355, c_0011_0 - 1, c_0011_2 + 1976987618/161063585749*c_0110_2^12 - 390357448/161063585749*c_0110_2^11 + 30181337785/161063585749*c_0110_2^10 - 19715946912/161063585749*c_0110_2^9 + 180819590310/161063585749*c_0110_2^8 - 207911700527/161063585749*c_0110_2^7 + 49966003257/14642144159*c_0110_2^6 - 911914008928/161063585749*c_0110_2^5 + 1062230417646/161063585749*c_0110_2^4 - 2077424012203/161063585749*c_0110_2^3 + 151758211402/14642144159*c_0110_2^2 - 206543695925/14642144159*c_0110_2 + 1147064916113/161063585749, c_0101_0 - 520134864878/12724023274171*c_0110_2^12 - 676562171104/12724023274171*c_0110_2^11 - 7647997812839/12724023274171*c_0110_2^10 - 6078949924351/12724023274171*c_0110_2^9 - 40315509154506/12724023274171*c_0110_2^8 - 12847012191876/12724023274171*c_0110_2^7 - 7545804807384/1156729388561*c_0110_2^6 + 40591887552401/12724023274171*c_0110_2^5 - 17700129835854/12724023274171*c_0110_2^4 + 219122658303034/12724023274171*c_0110_2^3 + 18784131196969/1156729388561*c_0110_2^2 + 22660149607382/1156729388561*c_0110_2 + 394798541992139/12724023274171, c_0101_1 + 834398788794/12724023274171*c_0110_2^12 + 1933837510371/12724023274171*c_0110_2^11 + 12500302750051/12724023274171*c_0110_2^10 + 21715657815205/12724023274171*c_0110_2^9 + 61737964457096/12724023274171*c_0110_2^8 + 86027999399422/12724023274171*c_0110_2^7 + 7624582938741/1156729388561*c_0110_2^6 + 109635250424061/12724023274171*c_0110_2^5 - 215217966470102/12724023274171*c_0110_2^4 - 81550147733020/12724023274171*c_0110_2^3 - 84503672803154/1156729388561*c_0110_2^2 - 11487838323152/1156729388561*c_0110_2 - 1269762004128349/12724023274171, c_0101_3 - 175204/892976579*c_0110_2^12 + 4488375/892976579*c_0110_2^11 - 5870020/892976579*c_0110_2^10 + 59218382/892976579*c_0110_2^9 - 79826367/892976579*c_0110_2^8 + 339459262/892976579*c_0110_2^7 - 40741891/81179689*c_0110_2^6 + 1062002638/892976579*c_0110_2^5 - 1361247088/892976579*c_0110_2^4 + 2082043322/892976579*c_0110_2^3 - 271058781/81179689*c_0110_2^2 + 178135437/81179689*c_0110_2 - 3229314306/892976579, c_0101_5 - 2437667741/161063585749*c_0110_2^12 - 3841148276/161063585749*c_0110_2^11 - 33998093870/161063585749*c_0110_2^10 - 37815759987/161063585749*c_0110_2^9 - 165931230530/161063585749*c_0110_2^8 - 128414019758/161063585749*c_0110_2^7 - 25102560140/14642144159*c_0110_2^6 - 75492369615/161063585749*c_0110_2^5 + 262448073266/161063585749*c_0110_2^4 + 444757273766/161063585749*c_0110_2^3 + 165306363674/14642144159*c_0110_2^2 + 35601010377/14642144159*c_0110_2 + 2802879583739/161063585749, c_0110_2^13 + 18*c_0110_2^11 - 6*c_0110_2^10 + 134*c_0110_2^9 - 90*c_0110_2^8 + 526*c_0110_2^7 - 560*c_0110_2^6 + 1198*c_0110_2^5 - 1899*c_0110_2^4 + 1730*c_0110_2^3 - 3586*c_0110_2^2 + 1436*c_0110_2 - 2911 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB