Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 2665415245] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1370 geometric_solution 5.22919064 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 0 1 -1 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 1 -1 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 -0.837356483252 0.517305492560 0 0 3 2 0132 3201 0132 0132 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 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 0.461963846773 0.923092760542 4 3 1 5 0132 2031 0132 0132 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620253068591 0.432536534994 2 4 5 1 1302 2310 3201 0132 0 0 0 0 0 0 -1 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 1 0 -1 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 0.620253068591 0.432536534994 2 6 6 3 0132 0132 1023 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 -1 0 1 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 0.651091904435 0.199547452875 3 5 2 5 2310 1302 0132 2031 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 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 0.348519483319 1.739352486689 6 4 4 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.305148944293 0.705066207444 ==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' : negation(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_0011_2'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), '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_4'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 3194754237261431/1442297671575570*c_0101_6^17 + 625002750850261/192306356210076*c_0101_6^16 - 6837585232249859/480765890525190*c_0101_6^15 - 1670289344150443/961531781050380*c_0101_6^14 + 12503187309985171/961531781050380*c_0101_6^13 - 132687124289066891/961531781050380*c_0101_6^12 + 54219353494775803/192306356210076*c_0101_6^11 - 897300739526862029/2884595343151140*c_0101_6^10 + 9037388072947004/48076589052519*c_0101_6^9 + 82103093289119083/192306356210076*c_0101_6^8 - 168496270712508940/144229767157557*c_0101_6^7 + 5365287376987315627/2884595343151140*c_0101_6^6 - 1582850553757606444/721148835787785*c_0101_6^5 + 2786564632851838673/1442297671575570*c_0101_6^4 - 4073474161872492427/2884595343151140*c_0101_6^3 + 554563517554759028/721148835787785*c_0101_6^2 - 227089980246581321/721148835787785*c_0101_6 + 253365301923289379/2884595343151140, c_0011_0 - 1, c_0011_2 - 187546924647109/240382945262595*c_0101_6^17 + 49086550402789/48076589052519*c_0101_6^16 - 1142219587224988/240382945262595*c_0101_6^15 - 438246504602983/240382945262595*c_0101_6^14 + 1227065145586721/240382945262595*c_0101_6^13 - 11832594428724556/240382945262595*c_0101_6^12 + 4269609675729892/48076589052519*c_0101_6^11 - 6998573824033281/80127648420865*c_0101_6^10 + 362536748931783/16025529684173*c_0101_6^9 + 3023173934340863/16025529684173*c_0101_6^8 - 18915991361531266/48076589052519*c_0101_6^7 + 132342005970213374/240382945262595*c_0101_6^6 - 133605311507627102/240382945262595*c_0101_6^5 + 100203385715330552/240382945262595*c_0101_6^4 - 61445525226614084/240382945262595*c_0101_6^3 + 8672726970912653/80127648420865*c_0101_6^2 - 8694450133827953/240382945262595*c_0101_6 + 611599580372511/80127648420865, c_0011_5 + 2176290033092/80127648420865*c_0101_6^17 - 2211746632682/16025529684173*c_0101_6^16 + 13206100696249/80127648420865*c_0101_6^15 - 27188811992231/80127648420865*c_0101_6^14 - 91206971166123/80127648420865*c_0101_6^13 + 173658248143273/80127648420865*c_0101_6^12 - 124256032153612/16025529684173*c_0101_6^11 + 527514009685179/80127648420865*c_0101_6^10 + 71446793617705/16025529684173*c_0101_6^9 - 232544474559023/16025529684173*c_0101_6^8 + 521964509166078/16025529684173*c_0101_6^7 - 2496462787431492/80127648420865*c_0101_6^6 + 1706810039023641/80127648420865*c_0101_6^5 - 909510266901901/80127648420865*c_0101_6^4 - 14634010604658/80127648420865*c_0101_6^3 - 123273419368312/80127648420865*c_0101_6^2 - 14750533645081/80127648420865*c_0101_6 - 4907156043809/80127648420865, c_0101_0 + 5752475392060/16025529684173*c_0101_6^17 - 10741341283842/16025529684173*c_0101_6^16 + 39272163942639/16025529684173*c_0101_6^15 - 4899569484414/16025529684173*c_0101_6^14 - 47361604345819/16025529684173*c_0101_6^13 + 390703189424408/16025529684173*c_0101_6^12 - 857240420048826/16025529684173*c_0101_6^11 + 990665019015249/16025529684173*c_0101_6^10 - 454587951239911/16025529684173*c_0101_6^9 - 1470754372164630/16025529684173*c_0101_6^8 + 3780545525477220/16025529684173*c_0101_6^7 - 5622015962904030/16025529684173*c_0101_6^6 + 5972105255917090/16025529684173*c_0101_6^5 - 4651677097505476/16025529684173*c_0101_6^4 + 2895785729999631/16025529684173*c_0101_6^3 - 1278891449463526/16025529684173*c_0101_6^2 + 438898624704823/16025529684173*c_0101_6 - 109019696959800/16025529684173, c_0101_1 + 6706153097226/80127648420865*c_0101_6^17 + 405585907079/16025529684173*c_0101_6^16 + 22836231926047/80127648420865*c_0101_6^15 + 73796650901387/80127648420865*c_0101_6^14 - 27846815926109/80127648420865*c_0101_6^13 + 277426335539524/80127648420865*c_0101_6^12 - 21933264666303/16025529684173*c_0101_6^11 - 605331031861013/80127648420865*c_0101_6^10 + 141140293169159/16025529684173*c_0101_6^9 - 232517934764842/16025529684173*c_0101_6^8 + 37483812464176/16025529684173*c_0101_6^7 + 980908151844979/80127648420865*c_0101_6^6 - 1438706678804367/80127648420865*c_0101_6^5 + 1651204115489842/80127648420865*c_0101_6^4 - 764652914133224/80127648420865*c_0101_6^3 + 371662099072169/80127648420865*c_0101_6^2 - 106083635643883/80127648420865*c_0101_6 - 60541038123037/80127648420865, c_0101_4 - 203609075939767/240382945262595*c_0101_6^17 + 56251385173849/48076589052519*c_0101_6^16 - 1249143712375114/240382945262595*c_0101_6^15 - 401444958500914/240382945262595*c_0101_6^14 + 1415095158097703/240382945262595*c_0101_6^13 - 12911176649399473/240382945262595*c_0101_6^12 + 4791571534056967/48076589052519*c_0101_6^11 - 7960638140815978/80127648420865*c_0101_6^10 + 430932269551375/16025529684173*c_0101_6^9 + 3284424726393946/16025529684173*c_0101_6^8 - 21030903776883604/48076589052519*c_0101_6^7 + 148145005956273902/240382945262595*c_0101_6^6 - 151334113213420526/240382945262595*c_0101_6^5 + 115270664363485421/240382945262595*c_0101_6^4 - 72251339103757997/240382945262595*c_0101_6^3 + 10620196837444989/80127648420865*c_0101_6^2 - 10974654986875934/240382945262595*c_0101_6 + 844073898022773/80127648420865, c_0101_6^18 - 2*c_0101_6^17 + 7*c_0101_6^16 - 2*c_0101_6^15 - 8*c_0101_6^14 + 67*c_0101_6^13 - 158*c_0101_6^12 + 192*c_0101_6^11 - 114*c_0101_6^10 - 210*c_0101_6^9 + 665*c_0101_6^8 - 1061*c_0101_6^7 + 1235*c_0101_6^6 - 1079*c_0101_6^5 + 752*c_0101_6^4 - 408*c_0101_6^3 + 164*c_0101_6^2 - 51*c_0101_6 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB