Magma V2.19-8 Tue Aug 20 2013 16:14:59 on localhost [Seed = 3364443346] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s951 geometric_solution 5.96518674 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768572735086 0.876785881830 0 3 5 4 0132 0132 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 -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 0.622951206680 0.767494369254 3 0 4 5 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622951206680 0.767494369254 4 1 4 2 1302 0132 2031 2310 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 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 0.375925574671 0.810845164522 2 3 1 3 2310 2031 0132 1302 0 0 0 0 0 1 0 -1 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 -1 1 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 0.828139970299 0.893666930786 2 5 5 1 3201 3201 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473571107841 0.693649341772 ==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' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), '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_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' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : 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' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : 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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 413794292387535743/28517849837856665*c_0101_5^16 - 4584628309504702243/28517849837856665*c_0101_5^15 - 347787542438584923/1966748264679770*c_0101_5^14 + 7314110870550012313/28517849837856665*c_0101_5^13 + 17387844640851171427/11407139935142666*c_0101_5^12 - 264208882200898938737/57035699675713330*c_0101_5^11 - 11285213858088109283/2592531803441515*c_0101_5^10 + 439680658014193975359/57035699675713330*c_0101_5^9 + 82256764115131816533/28517849837856665*c_0101_5^8 - 42469876962168846072/5703569967571333*c_0101_5^7 - 4356967569050775771/5703569967571333*c_0101_5^6 + 303336971381348156033/57035699675713330*c_0101_5^5 + 17456324862634727943/28517849837856665*c_0101_5^4 - 11581654415645025247/5703569967571333*c_0101_5^3 - 1399630546031492922/5703569967571333*c_0101_5^2 + 18832469137792436391/57035699675713330*c_0101_5 + 2066075363609544061/57035699675713330, c_0011_0 - 1, c_0011_4 + 110164119157981/89397648394535*c_0101_5^16 + 1041303386750011/89397648394535*c_0101_5^15 - 455846625223748/89397648394535*c_0101_5^14 - 2252859625497281/89397648394535*c_0101_5^13 - 1627407137860222/17879529678907*c_0101_5^12 + 50255612963665997/89397648394535*c_0101_5^11 - 39934063834636154/89397648394535*c_0101_5^10 - 35355139305799089/89397648394535*c_0101_5^9 + 48689471487283664/89397648394535*c_0101_5^8 + 2626552502294826/17879529678907*c_0101_5^7 - 7440433520106835/17879529678907*c_0101_5^6 - 2054962951037918/89397648394535*c_0101_5^5 + 17288952917438764/89397648394535*c_0101_5^4 - 279438649340763/17879529678907*c_0101_5^3 - 626402550010592/17879529678907*c_0101_5^2 + 318173409658334/89397648394535*c_0101_5 + 186894204789829/89397648394535, c_0101_0 - 200513578925333/89397648394535*c_0101_5^16 - 1874334150317228/89397648394535*c_0101_5^15 + 1002026971017109/89397648394535*c_0101_5^14 + 3748255857864013/89397648394535*c_0101_5^13 + 2856089079634493/17879529678907*c_0101_5^12 - 92612936306523751/89397648394535*c_0101_5^11 + 84494433101428737/89397648394535*c_0101_5^10 + 46708100184791912/89397648394535*c_0101_5^9 - 93297563527491537/89397648394535*c_0101_5^8 - 1344066546709195/17879529678907*c_0101_5^7 + 13201951134186773/17879529678907*c_0101_5^6 - 7954046463303951/89397648394535*c_0101_5^5 - 28656421698247607/89397648394535*c_0101_5^4 + 1625862462358411/17879529678907*c_0101_5^3 + 924120950773580/17879529678907*c_0101_5^2 - 1200204230393687/89397648394535*c_0101_5 - 403931165561262/89397648394535, c_0101_1 - 204369398008746/89397648394535*c_0101_5^16 - 1903518205991926/89397648394535*c_0101_5^15 + 1103954007926753/89397648394535*c_0101_5^14 + 3979384298320331/89397648394535*c_0101_5^13 + 2907104778967989/17879529678907*c_0101_5^12 - 95185309093031627/89397648394535*c_0101_5^11 + 87592092877394294/89397648394535*c_0101_5^10 + 51571194448638389/89397648394535*c_0101_5^9 - 96467619570693799/89397648394535*c_0101_5^8 - 2052321765978010/17879529678907*c_0101_5^7 + 13719244608106161/17879529678907*c_0101_5^6 - 5787082222959837/89397648394535*c_0101_5^5 - 30429433157767964/89397648394535*c_0101_5^4 + 1300003263707962/17879529678907*c_0101_5^3 + 893070159298267/17879529678907*c_0101_5^2 - 753165006981034/89397648394535*c_0101_5 - 185569150650119/89397648394535, c_0101_2 - 41723900548892/89397648394535*c_0101_5^16 - 448190964792152/89397648394535*c_0101_5^15 - 390249116183729/89397648394535*c_0101_5^14 + 536875813482707/89397648394535*c_0101_5^13 + 828741582425905/17879529678907*c_0101_5^12 - 14063479545162689/89397648394535*c_0101_5^11 - 4946538245879427/89397648394535*c_0101_5^10 + 10385635721061568/89397648394535*c_0101_5^9 + 8720963293282327/89397648394535*c_0101_5^8 - 2138513557211679/17879529678907*c_0101_5^7 - 1191882378998742/17879529678907*c_0101_5^6 + 9008692044617501/89397648394535*c_0101_5^5 + 5438696409046972/89397648394535*c_0101_5^4 - 624338805256276/17879529678907*c_0101_5^3 - 511573585164325/17879529678907*c_0101_5^2 + 634280035757282/89397648394535*c_0101_5 + 291849819639672/89397648394535, c_0101_5^17 + 10*c_0101_5^16 + c_0101_5^15 - 23*c_0101_5^14 - 84*c_0101_5^13 + 417*c_0101_5^12 - 111*c_0101_5^11 - 545*c_0101_5^10 + 313*c_0101_5^9 + 371*c_0101_5^8 - 315*c_0101_5^7 - 198*c_0101_5^6 + 177*c_0101_5^5 + 66*c_0101_5^4 - 50*c_0101_5^3 - 11*c_0101_5^2 + 5*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB