Magma V2.19-8 Tue Aug 20 2013 16:17:37 on localhost [Seed = 880126161] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1860 geometric_solution 5.49596675 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.355790174956 0.518590125254 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 -1 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 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 0.585967120516 0.957124877381 1 3 0 4 1230 0132 0132 3201 0 0 0 0 0 0 -1 1 1 0 0 -1 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 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 0.585967120516 0.957124877381 1 2 5 5 0132 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606416832681 1.624524749244 6 2 6 1 0132 2310 2310 0132 0 0 0 0 0 -1 0 1 0 0 0 0 -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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164040139399 1.690349549324 3 5 5 3 3201 3201 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 -0.623849042924 0.433021139889 4 4 6 6 0132 3201 2031 1302 0 0 0 0 0 -1 0 1 0 0 -1 1 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 -1 0 1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415138468988 0.138823064820 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_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' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 548570425306457063/1710960207370425*c_0101_4^13 + 4254115951036534642/1710960207370425*c_0101_4^12 - 58854275985919016/31108367406735*c_0101_4^11 - 12901409819541926867/570320069123475*c_0101_4^10 + 133463841686186710847/1710960207370425*c_0101_4^9 + 1897240972141213183/63368896569275*c_0101_4^8 - 931433601887055978494/1710960207370425*c_0101_4^7 + 681417078345256562114/1710960207370425*c_0101_4^6 + 1150231189252048008767/1710960207370425*c_0101_4^5 - 55343391361315566098/114064013824695*c_0101_4^4 - 52516779679493739242/155541837033675*c_0101_4^3 + 8723497674233299008/63368896569275*c_0101_4^2 + 53161920316866513338/570320069123475*c_0101_4 + 745414774344964214/63368896569275, c_0011_0 - 1, c_0011_1 - 495452527347128/2367692408179275*c_0101_4^13 - 3848408489422057/2367692408179275*c_0101_4^12 + 574635801603152/473538481635855*c_0101_4^11 + 34967092382376901/2367692408179275*c_0101_4^10 - 120165075363443317/2367692408179275*c_0101_4^9 - 15867636089953907/789230802726425*c_0101_4^8 + 840748476393208669/2367692408179275*c_0101_4^7 - 607145153206709894/2367692408179275*c_0101_4^6 - 1044008409348389887/2367692408179275*c_0101_4^5 + 149617773308071738/473538481635855*c_0101_4^4 + 172890468356842904/789230802726425*c_0101_4^3 - 71561223180763902/789230802726425*c_0101_4^2 - 139339476646939054/2367692408179275*c_0101_4 - 6030774945607731/789230802726425, c_0011_4 - 6212284569395352/789230802726425*c_0101_4^13 - 144345393290994094/2367692408179275*c_0101_4^12 + 22264413703973669/473538481635855*c_0101_4^11 + 1313410764584128852/2367692408179275*c_0101_4^10 - 1515504526970181783/789230802726425*c_0101_4^9 - 1692089599119201502/2367692408179275*c_0101_4^8 + 10548275735579417231/789230802726425*c_0101_4^7 - 23457630038225685143/2367692408179275*c_0101_4^6 - 38750232683317924369/2367692408179275*c_0101_4^5 + 5693464397515211458/473538481635855*c_0101_4^4 + 6423056217914562303/789230802726425*c_0101_4^3 - 8066691349752632257/2367692408179275*c_0101_4^2 - 1773491874207633696/789230802726425*c_0101_4 - 221705477917768477/789230802726425, c_0011_5 - 2310378978408772/789230802726425*c_0101_4^13 - 17743764351384113/789230802726425*c_0101_4^12 + 2986173513873388/157846160545285*c_0101_4^11 + 161656020246446799/789230802726425*c_0101_4^10 - 573980007666243818/789230802726425*c_0101_4^9 - 170635584047328194/789230802726425*c_0101_4^8 + 3927670168943662076/789230802726425*c_0101_4^7 - 3165207976483275076/789230802726425*c_0101_4^6 - 4554791803211277418/789230802726425*c_0101_4^5 + 151515943218837752/31569232109057*c_0101_4^4 + 2096716155082222653/789230802726425*c_0101_4^3 - 1090644146530967124/789230802726425*c_0101_4^2 - 572110362892314241/789230802726425*c_0101_4 - 59949614725728462/789230802726425, c_0101_0 + 1560613089079667/157846160545285*c_0101_4^13 + 36289116275722852/473538481635855*c_0101_4^12 - 5551953247062851/94707696327171*c_0101_4^11 - 330164483014947967/473538481635855*c_0101_4^10 + 380093785927846141/157846160545285*c_0101_4^9 + 432292698846090478/473538481635855*c_0101_4^8 - 2649718897666226112/157846160545285*c_0101_4^7 + 5846338300057805066/473538481635855*c_0101_4^6 + 9782050806669637651/473538481635855*c_0101_4^5 - 7109209516221399446/473538481635855*c_0101_4^4 - 326270237105748302/31569232109057*c_0101_4^3 + 2014908685353735694/473538481635855*c_0101_4^2 + 450608880644450277/157846160545285*c_0101_4 + 56834022328415341/157846160545285, c_0101_1 - 6754895489673914/789230802726425*c_0101_4^13 - 52319842976966996/789230802726425*c_0101_4^12 + 8066263205269531/157846160545285*c_0101_4^11 + 476049704361324813/789230802726425*c_0101_4^10 - 1647719489573790236/789230802726425*c_0101_4^9 - 613752700169489608/789230802726425*c_0101_4^8 + 11469198173798942552/789230802726425*c_0101_4^7 - 8498497427866093577/789230802726425*c_0101_4^6 - 14046355246480951576/789230802726425*c_0101_4^5 + 2062391381550065111/157846160545285*c_0101_4^4 + 6987755879332317366/789230802726425*c_0101_4^3 - 2922173788946526073/789230802726425*c_0101_4^2 - 1930219426885455432/789230802726425*c_0101_4 - 241472770983518079/789230802726425, c_0101_4^14 + 8*c_0101_4^13 - 4*c_0101_4^12 - 72*c_0101_4^11 + 226*c_0101_4^10 + 153*c_0101_4^9 - 1675*c_0101_4^8 + 826*c_0101_4^7 + 2401*c_0101_4^6 - 999*c_0101_4^5 - 1424*c_0101_4^4 + 171*c_0101_4^3 + 396*c_0101_4^2 + 108*c_0101_4 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB