Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 2227509635] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3358 geometric_solution 6.52457187 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 -1 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.182653365428 0.688692176878 0 0 4 3 0132 3201 0132 0132 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 -1 0 1 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 -0.137127500042 1.433247825310 0 0 6 5 3201 0132 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 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 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788107445061 1.118333519125 4 4 1 6 1302 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.376512147842 1.109739607265 3 3 5 1 1023 2031 2310 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 0 0 1 -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 0.376512147842 1.109739607265 6 4 2 6 1023 3201 0132 1302 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 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 0.344687716769 0.622049011497 3 5 5 2 3201 1023 2031 0132 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 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 0.344687716769 0.622049011497 ==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' : 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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_3, c_0011_5, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 37149492107422989/133937450028595*c_0101_6^14 + 145693975259818022/133937450028595*c_0101_6^13 + 321663077539672327/133937450028595*c_0101_6^12 + 626974912676569314/133937450028595*c_0101_6^11 + 854782011162862111/133937450028595*c_0101_6^10 + 215100532573571333/133937450028595*c_0101_6^9 - 956866723344895972/133937450028595*c_0101_6^8 - 249724961964104487/26787490005719*c_0101_6^7 - 419732583609748476/133937450028595*c_0101_6^6 + 308883956233880548/133937450028595*c_0101_6^5 + 344087701459722074/133937450028595*c_0101_6^4 + 153312677318502343/133937450028595*c_0101_6^3 - 3984377004702651/26787490005719*c_0101_6^2 - 38279347888812967/133937450028595*c_0101_6 - 10977358410922599/133937450028595, c_0011_0 - 1, c_0011_3 + 370352418344601/26787490005719*c_0101_6^14 + 1557387310393833/26787490005719*c_0101_6^13 + 3609717691473842/26787490005719*c_0101_6^12 + 7146225685329446/26787490005719*c_0101_6^11 + 10299152564438125/26787490005719*c_0101_6^10 + 4602909474071030/26787490005719*c_0101_6^9 - 8745300197657873/26787490005719*c_0101_6^8 - 14653790872486629/26787490005719*c_0101_6^7 - 7225204602047896/26787490005719*c_0101_6^6 + 1846180091648811/26787490005719*c_0101_6^5 + 3732350528650374/26787490005719*c_0101_6^4 + 2005199639849800/26787490005719*c_0101_6^3 + 122621915069366/26787490005719*c_0101_6^2 - 355215567254543/26787490005719*c_0101_6 - 110895172142382/26787490005719, c_0011_5 - 268437530640839/26787490005719*c_0101_6^14 - 1060319661273785/26787490005719*c_0101_6^13 - 2337373472745170/26787490005719*c_0101_6^12 - 4544235566035917/26787490005719*c_0101_6^11 - 6207382873395292/26787490005719*c_0101_6^10 - 1541648790193897/26787490005719*c_0101_6^9 + 7077435428622233/26787490005719*c_0101_6^8 + 9105279869994951/26787490005719*c_0101_6^7 + 2920708854538230/26787490005719*c_0101_6^6 - 2310096813493894/26787490005719*c_0101_6^5 - 2424662346321474/26787490005719*c_0101_6^4 - 1077811238919064/26787490005719*c_0101_6^3 + 107758165242205/26787490005719*c_0101_6^2 + 283091213557120/26787490005719*c_0101_6 + 42631146320502/26787490005719, c_0101_1 + 100995000481158/26787490005719*c_0101_6^14 + 434777448822378/26787490005719*c_0101_6^13 + 1008779650410432/26787490005719*c_0101_6^12 + 1989961480726462/26787490005719*c_0101_6^11 + 2892150434321468/26787490005719*c_0101_6^10 + 1323525336821595/26787490005719*c_0101_6^9 - 2494226040781016/26787490005719*c_0101_6^8 - 4118200907958175/26787490005719*c_0101_6^7 - 1921157104282488/26787490005719*c_0101_6^6 + 632910881749666/26787490005719*c_0101_6^5 + 1036269772358081/26787490005719*c_0101_6^4 + 496589809451075/26787490005719*c_0101_6^3 - 19570583834383/26787490005719*c_0101_6^2 - 142076166669930/26787490005719*c_0101_6 - 16855761206464/26787490005719, c_0101_4 - 100995000481158/26787490005719*c_0101_6^14 - 434777448822378/26787490005719*c_0101_6^13 - 1008779650410432/26787490005719*c_0101_6^12 - 1989961480726462/26787490005719*c_0101_6^11 - 2892150434321468/26787490005719*c_0101_6^10 - 1323525336821595/26787490005719*c_0101_6^9 + 2494226040781016/26787490005719*c_0101_6^8 + 4118200907958175/26787490005719*c_0101_6^7 + 1921157104282488/26787490005719*c_0101_6^6 - 632910881749666/26787490005719*c_0101_6^5 - 1036269772358081/26787490005719*c_0101_6^4 - 496589809451075/26787490005719*c_0101_6^3 + 19570583834383/26787490005719*c_0101_6^2 + 142076166669930/26787490005719*c_0101_6 + 16855761206464/26787490005719, c_0101_5 - 141709045772952/26787490005719*c_0101_6^14 - 558590413572769/26787490005719*c_0101_6^13 - 1204779158055104/26787490005719*c_0101_6^12 - 2300182713896131/26787490005719*c_0101_6^11 - 3064196594801489/26787490005719*c_0101_6^10 - 401903306347720/26787490005719*c_0101_6^9 + 4256811722972704/26787490005719*c_0101_6^8 + 4898921027928410/26787490005719*c_0101_6^7 + 1030670630541664/26787490005719*c_0101_6^6 - 1833387183820267/26787490005719*c_0101_6^5 - 1495388550868137/26787490005719*c_0101_6^4 - 504041285412244/26787490005719*c_0101_6^3 + 115781500601986/26787490005719*c_0101_6^2 + 189914567214903/26787490005719*c_0101_6 + 32239755848411/26787490005719, c_0101_6^15 + 32/7*c_0101_6^14 + 79/7*c_0101_6^13 + 160/7*c_0101_6^12 + 244/7*c_0101_6^11 + 158/7*c_0101_6^10 - 134/7*c_0101_6^9 - 338/7*c_0101_6^8 - 34*c_0101_6^7 - 15/7*c_0101_6^6 + 12*c_0101_6^5 + 65/7*c_0101_6^4 + 17/7*c_0101_6^3 - 6/7*c_0101_6^2 - 5/7*c_0101_6 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB