Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 4273955835] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3471 geometric_solution 6.68363733 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 0.599469872785 0.716157298182 0 2 2 5 0132 1302 0321 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 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 0.603237820571 0.699771640679 3 0 1 1 1302 0132 0321 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.187398836057 1.143684671728 4 2 6 0 0213 2031 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282807603022 0.805369222112 3 5 0 5 0213 1302 0132 2310 0 0 0 0 0 -1 0 1 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 -1 1 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 0.603237820571 0.699771640679 4 6 1 4 3201 0132 0132 2031 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153398092377 1.157131671008 6 5 6 3 2310 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274499938217 0.869299722773 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_3'], '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_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_0110_2']), 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : d['c_0110_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0110_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_4, c_0011_5, c_0101_0, c_0110_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 84726207715480/994537118251*c_0110_5^18 + 889739057989596/994537118251*c_0110_5^17 + 3188591808315275/994537118251*c_0110_5^16 + 1936349766224516/994537118251*c_0110_5^15 - 16140577026255314/994537118251*c_0110_5^14 - 40579698602636120/994537118251*c_0110_5^13 - 15823757520841332/994537118251*c_0110_5^12 + 63246167051978921/994537118251*c_0110_5^11 + 99927784815524253/994537118251*c_0110_5^10 + 65484469993521324/994537118251*c_0110_5^9 + 23374845779627980/994537118251*c_0110_5^8 - 24437694930978434/994537118251*c_0110_5^7 - 60973125938743707/994537118251*c_0110_5^6 - 46160752462601564/994537118251*c_0110_5^5 - 15674432916914527/994537118251*c_0110_5^4 - 1006879972851817/994537118251*c_0110_5^3 + 3043367377072740/994537118251*c_0110_5^2 + 1619456359492252/994537118251*c_0110_5 + 128260827254140/994537118251, c_0011_0 - 1, c_0011_3 - 1899372615509/994537118251*c_0110_5^18 - 20060071217230/994537118251*c_0110_5^17 - 72880328508013/994537118251*c_0110_5^16 - 49784719916786/994537118251*c_0110_5^15 + 352008971767315/994537118251*c_0110_5^14 + 928157004861613/994537118251*c_0110_5^13 + 448055264778883/994537118251*c_0110_5^12 - 1309106515733671/994537118251*c_0110_5^11 - 2304821820019211/994537118251*c_0110_5^10 - 1744890869882833/994537118251*c_0110_5^9 - 803325296660601/994537118251*c_0110_5^8 + 387375416211772/994537118251*c_0110_5^7 + 1329672355157881/994537118251*c_0110_5^6 + 1159995630182299/994537118251*c_0110_5^5 + 531942459592588/994537118251*c_0110_5^4 + 126892401555660/994537118251*c_0110_5^3 - 25040708823203/994537118251*c_0110_5^2 - 25859604390814/994537118251*c_0110_5 - 4482026311575/994537118251, c_0011_4 + 1865402689948/994537118251*c_0110_5^18 + 19175127015519/994537118251*c_0110_5^17 + 66375902331043/994537118251*c_0110_5^16 + 32184912897999/994537118251*c_0110_5^15 - 348470586313690/994537118251*c_0110_5^14 - 812464720872192/994537118251*c_0110_5^13 - 248076300693646/994537118251*c_0110_5^12 + 1284352115800047/994537118251*c_0110_5^11 + 1898952033433722/994537118251*c_0110_5^10 + 1308063944538191/994537118251*c_0110_5^9 + 577276877519108/994537118251*c_0110_5^8 - 448108886709956/994537118251*c_0110_5^7 - 1149337111331246/994537118251*c_0110_5^6 - 871459952891221/994537118251*c_0110_5^5 - 375171700751565/994537118251*c_0110_5^4 - 82757617377526/994537118251*c_0110_5^3 + 26476923808351/994537118251*c_0110_5^2 + 16214795759233/994537118251*c_0110_5 + 2330989985329/994537118251, c_0011_5 + 4122794126682/994537118251*c_0110_5^18 + 42445681987066/994537118251*c_0110_5^17 + 147520608125241/994537118251*c_0110_5^16 + 74774264540597/994537118251*c_0110_5^15 - 765622432630348/994537118251*c_0110_5^14 - 1810631260884697/994537118251*c_0110_5^13 - 603222229433168/994537118251*c_0110_5^12 + 2800829508093207/994537118251*c_0110_5^11 + 4278143472079725/994537118251*c_0110_5^10 + 3038167590149693/994537118251*c_0110_5^9 + 1350414386411990/994537118251*c_0110_5^8 - 964700722520729/994537118251*c_0110_5^7 - 2554840700599988/994537118251*c_0110_5^6 - 2019070162608613/994537118251*c_0110_5^5 - 888004600980744/994537118251*c_0110_5^4 - 192774249325812/994537118251*c_0110_5^3 + 53446625483621/994537118251*c_0110_5^2 + 41169857091673/994537118251*c_0110_5 + 6605046116508/994537118251, c_0101_0 + 2123019804933/994537118251*c_0110_5^18 + 21129796343090/994537118251*c_0110_5^17 + 68904240842283/994537118251*c_0110_5^16 + 16649571994891/994537118251*c_0110_5^15 - 394394990682153/994537118251*c_0110_5^14 - 796507827948777/994537118251*c_0110_5^13 - 70761636391833/994537118251*c_0110_5^12 + 1403502609954889/994537118251*c_0110_5^11 + 1722528992309026/994537118251*c_0110_5^10 + 1092318946262738/994537118251*c_0110_5^9 + 456091598997932/994537118251*c_0110_5^8 - 576811367020451/994537118251*c_0110_5^7 - 1095614299978247/994537118251*c_0110_5^6 - 717394776071588/994537118251*c_0110_5^5 - 295848241457238/994537118251*c_0110_5^4 - 49434641354047/994537118251*c_0110_5^3 + 27667491281358/994537118251*c_0110_5^2 + 11931459633309/994537118251*c_0110_5 + 1673905738605/994537118251, c_0110_2 + 3489173311455/994537118251*c_0110_5^18 + 36791105730059/994537118251*c_0110_5^17 + 133303417879736/994537118251*c_0110_5^16 + 89611363020842/994537118251*c_0110_5^15 - 646942799297226/994537118251*c_0110_5^14 - 1693894959999439/994537118251*c_0110_5^13 - 800900861705469/994537118251*c_0110_5^12 + 2404479504062126/994537118251*c_0110_5^11 + 4187235405214415/994537118251*c_0110_5^10 + 3155952676545816/994537118251*c_0110_5^9 + 1464017001975937/994537118251*c_0110_5^8 - 709540131675706/994537118251*c_0110_5^7 - 2427303853962606/994537118251*c_0110_5^6 - 2094962081176600/994537118251*c_0110_5^5 - 963143830437219/994537118251*c_0110_5^4 - 235230731643274/994537118251*c_0110_5^3 + 45533210481424/994537118251*c_0110_5^2 + 45801791259424/994537118251*c_0110_5 + 7971199623030/994537118251, c_0110_5^19 + 11*c_0110_5^18 + 43*c_0110_5^17 + 43*c_0110_5^16 - 174*c_0110_5^15 - 570*c_0110_5^14 - 449*c_0110_5^13 + 588*c_0110_5^12 + 1514*c_0110_5^11 + 1444*c_0110_5^10 + 824*c_0110_5^9 - 14*c_0110_5^8 - 788*c_0110_5^7 - 915*c_0110_5^6 - 544*c_0110_5^5 - 191*c_0110_5^4 - 18*c_0110_5^3 + 19*c_0110_5^2 + 8*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB