Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 1865347691] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3341 geometric_solution 6.48727668 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.421210453381 0.648109521388 0 3 5 4 0132 0132 0132 0132 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 -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 0.728748707701 0.892496494760 3 0 4 5 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0.728748707701 0.892496494760 3 1 2 3 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287025454464 0.837922553451 2 6 1 6 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.050035162674 0.669083903079 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 1 -1 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 0.800338647269 0.708229854702 6 4 6 4 2310 0132 3201 1023 0 0 0 0 0 0 -1 1 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 0 1 -1 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 0.723000633727 0.308419583061 ==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' : 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_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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' : negation(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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_3'], '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' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_3'], '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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 423773141852177/20864051523785*c_0101_3*c_0101_6^14 - 1415490237756737/20864051523785*c_0101_3*c_0101_6^13 + 458412365772996/4172810304757*c_0101_3*c_0101_6^12 + 4776128834923467/20864051523785*c_0101_3*c_0101_6^11 - 35362630723428428/20864051523785*c_0101_3*c_0101_6^10 - 5228812295858143/20864051523785*c_0101_3*c_0101_6^9 + 81988183382557644/20864051523785*c_0101_3*c_0101_6^8 + 64071355040444983/20864051523785*c_0101_3*c_0101_6^7 - 3096428248310542/20864051523785*c_0101_3*c_0101_6^6 - 26267791235733884/20864051523785*c_0101_3*c_0101_6^5 - 34273550298941371/20864051523785*c_0101_3*c_0101_6^4 - 26871773335927101/20864051523785*c_0101_3*c_0101_6^3 - 3769287833618433/20864051523785*c_0101_3*c_0101_6^2 + 3677341198534654/20864051523785*c_0101_3*c_0101_6 + 159924664264970/4172810304757*c_0101_3, c_0011_0 - 1, c_0011_4 + 3857046819603/4172810304757*c_0101_3*c_0101_6^14 - 13875310767025/4172810304757*c_0101_3*c_0101_6^13 + 24131309242339/4172810304757*c_0101_3*c_0101_6^12 + 38388946076455/4172810304757*c_0101_3*c_0101_6^11 - 333762902557333/4172810304757*c_0101_3*c_0101_6^10 + 35461659676696/4172810304757*c_0101_3*c_0101_6^9 + 763899919161921/4172810304757*c_0101_3*c_0101_6^8 + 378983513206776/4172810304757*c_0101_3*c_0101_6^7 - 185361686144239/4172810304757*c_0101_3*c_0101_6^6 - 205131387556454/4172810304757*c_0101_3*c_0101_6^5 - 247008486448148/4172810304757*c_0101_3*c_0101_6^4 - 170308432163243/4172810304757*c_0101_3*c_0101_6^3 + 30686896254919/4172810304757*c_0101_3*c_0101_6^2 + 38329504771013/4172810304757*c_0101_3*c_0101_6 - 5207212086697/4172810304757*c_0101_3, c_0101_0 - 58443755272/4172810304757*c_0101_6^14 + 968819856340/4172810304757*c_0101_6^13 - 3469442631545/4172810304757*c_0101_6^12 + 5717233240799/4172810304757*c_0101_6^11 + 9219001627450/4172810304757*c_0101_6^10 - 67264486656487/4172810304757*c_0101_6^9 + 26827698396290/4172810304757*c_0101_6^8 + 122678244165803/4172810304757*c_0101_6^7 + 32734107522993/4172810304757*c_0101_6^6 - 56217896783411/4172810304757*c_0101_6^5 - 40672771040473/4172810304757*c_0101_6^4 - 23610057845118/4172810304757*c_0101_6^3 - 11577983292280/4172810304757*c_0101_6^2 + 7609055447067/4172810304757*c_0101_6 + 6139811563308/4172810304757, c_0101_1 - 1558070725806/4172810304757*c_0101_3*c_0101_6^14 + 4219618254206/4172810304757*c_0101_3*c_0101_6^13 - 4537132794439/4172810304757*c_0101_3*c_0101_6^12 - 25286344690658/4172810304757*c_0101_3*c_0101_6^11 + 123796741715523/4172810304757*c_0101_3*c_0101_6^10 + 104772151445510/4172810304757*c_0101_3*c_0101_6^9 - 341239503983705/4172810304757*c_0101_3*c_0101_6^8 - 399223678089148/4172810304757*c_0101_3*c_0101_6^7 - 43043663092837/4172810304757*c_0101_3*c_0101_6^6 + 133160760920543/4172810304757*c_0101_3*c_0101_6^5 + 169472517306131/4172810304757*c_0101_3*c_0101_6^4 + 164697335448906/4172810304757*c_0101_3*c_0101_6^3 + 40865889347406/4172810304757*c_0101_3*c_0101_6^2 - 26939000475754/4172810304757*c_0101_3*c_0101_6 - 9630566676918/4172810304757*c_0101_3, c_0101_2 - 3292394172384/4172810304757*c_0101_6^14 + 12843629803148/4172810304757*c_0101_6^13 - 24626926321030/4172810304757*c_0101_6^12 - 24463447191525/4172810304757*c_0101_6^11 + 290174100492863/4172810304757*c_0101_6^10 - 117190712394222/4172810304757*c_0101_6^9 - 602076961601780/4172810304757*c_0101_6^8 - 173616906881899/4172810304757*c_0101_6^7 + 192601618610328/4172810304757*c_0101_6^6 + 171794879365406/4172810304757*c_0101_6^5 + 191592531774035/4172810304757*c_0101_6^4 + 85393549884489/4172810304757*c_0101_6^3 - 55069711665337/4172810304757*c_0101_6^2 - 36745764061593/4172810304757*c_0101_6 + 2108136555468/4172810304757, c_0101_3^2 + 3292394172384/4172810304757*c_0101_6^14 - 12843629803148/4172810304757*c_0101_6^13 + 24626926321030/4172810304757*c_0101_6^12 + 24463447191525/4172810304757*c_0101_6^11 - 290174100492863/4172810304757*c_0101_6^10 + 117190712394222/4172810304757*c_0101_6^9 + 602076961601780/4172810304757*c_0101_6^8 + 173616906881899/4172810304757*c_0101_6^7 - 192601618610328/4172810304757*c_0101_6^6 - 171794879365406/4172810304757*c_0101_6^5 - 191592531774035/4172810304757*c_0101_6^4 - 85393549884489/4172810304757*c_0101_6^3 + 55069711665337/4172810304757*c_0101_6^2 + 36745764061593/4172810304757*c_0101_6 - 6280946860225/4172810304757, c_0101_6^15 - 3*c_0101_6^14 + 4*c_0101_6^13 + 14*c_0101_6^12 - 81*c_0101_6^11 - 44*c_0101_6^10 + 212*c_0101_6^9 + 222*c_0101_6^8 - 10*c_0101_6^7 - 107*c_0101_6^6 - 101*c_0101_6^5 - 76*c_0101_6^4 - 9*c_0101_6^3 + 24*c_0101_6^2 + 8*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB