Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 4273955358] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0641 geometric_solution 4.62996317 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 0132 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 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 0.137934687928 1.591219488959 0 0 4 4 0132 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 -1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200548340626 0.142766357696 5 0 3 5 0132 0132 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.453803277928 0.686252453048 6 2 0 6 0132 1230 0132 1023 0 0 0 0 0 0 1 -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 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 0.453803277928 0.686252453048 4 1 1 4 3201 3201 0132 2310 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 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 -1.919822400651 0.613548367963 2 6 6 2 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.434712992610 0.542330529017 3 5 5 3 0132 3201 2310 1023 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 0 0 0 1.434712992610 0.542330529017 ==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' : 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' : 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_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_6']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 363780783989085582/1857020202157669*c_0101_6^17 + 584335381822103478/1857020202157669*c_0101_6^16 - 2482787640401952630/1857020202157669*c_0101_6^15 - 7469399874630224593/1857020202157669*c_0101_6^14 - 2010763778940631314/1857020202157669*c_0101_6^13 + 16314886037977750143/1857020202157669*c_0101_6^12 + 22374990692875387444/1857020202157669*c_0101_6^11 + 31464768929730200/1857020202157669*c_0101_6^10 - 22646685800434006216/1857020202157669*c_0101_6^9 - 16464660703902342524/1857020202157669*c_0101_6^8 + 2478285278676993438/1857020202157669*c_0101_6^7 + 8165104336927286725/1857020202157669*c_0101_6^6 + 1935425768736940714/1857020202157669*c_0101_6^5 - 2791980705410288501/1857020202157669*c_0101_6^4 - 2145413853351581143/1857020202157669*c_0101_6^3 - 466170314539023636/1857020202157669*c_0101_6^2 + 199215618330264116/1857020202157669*c_0101_6 + 114403248525046196/1857020202157669, c_0011_0 - 1, c_0011_3 + 239743778283989/1857020202157669*c_0101_6^17 + 16627872157435/1857020202157669*c_0101_6^16 - 1978515371506099/1857020202157669*c_0101_6^15 - 2402319271168088/1857020202157669*c_0101_6^14 + 4498394372764682/1857020202157669*c_0101_6^13 + 10199665058235526/1857020202157669*c_0101_6^12 + 666353505335828/1857020202157669*c_0101_6^11 - 13377842232405489/1857020202157669*c_0101_6^10 - 9484766716821953/1857020202157669*c_0101_6^9 + 3713212285042554/1857020202157669*c_0101_6^8 + 6130054455700837/1857020202157669*c_0101_6^7 + 492192321721380/1857020202157669*c_0101_6^6 - 2559647919086137/1857020202157669*c_0101_6^5 - 1331500371839759/1857020202157669*c_0101_6^4 + 2354557680778550/1857020202157669*c_0101_6^3 + 5186962194527608/1857020202157669*c_0101_6^2 + 85196726224556/1857020202157669*c_0101_6 - 49990677565370/1857020202157669, c_0011_4 + 16709170739398599/1857020202157669*c_0101_6^17 + 28665013231608592/1857020202157669*c_0101_6^16 - 114894093547918916/1857020202157669*c_0101_6^15 - 359159828306745424/1857020202157669*c_0101_6^14 - 100955098715349248/1857020202157669*c_0101_6^13 + 798918376726738368/1857020202157669*c_0101_6^12 + 1086103145418903626/1857020202157669*c_0101_6^11 - 51739161280456715/1857020202157669*c_0101_6^10 - 1158270972243084882/1857020202157669*c_0101_6^9 - 759982715738759591/1857020202157669*c_0101_6^8 + 211477197830453018/1857020202157669*c_0101_6^7 + 410053057071555255/1857020202157669*c_0101_6^6 + 55432548830038182/1857020202157669*c_0101_6^5 - 146982729396633680/1857020202157669*c_0101_6^4 - 93183332526436627/1857020202157669*c_0101_6^3 - 13904641687432960/1857020202157669*c_0101_6^2 + 10141480591430234/1857020202157669*c_0101_6 + 6425692776417037/1857020202157669, c_0101_0 + 2586901355064348/1857020202157669*c_0101_6^17 + 8567740514604087/1857020202157669*c_0101_6^16 - 12724063781095473/1857020202157669*c_0101_6^15 - 86578340853523636/1857020202157669*c_0101_6^14 - 90121919224048136/1857020202157669*c_0101_6^13 + 135082515620277099/1857020202157669*c_0101_6^12 + 367555269756694093/1857020202157669*c_0101_6^11 + 175798544518710071/1857020202157669*c_0101_6^10 - 290158906135307531/1857020202157669*c_0101_6^9 - 390931257939497575/1857020202157669*c_0101_6^8 - 49750580370025516/1857020202157669*c_0101_6^7 + 185398617885273061/1857020202157669*c_0101_6^6 + 99960842888320480/1857020202157669*c_0101_6^5 - 43582661829702358/1857020202157669*c_0101_6^4 - 60970446028966076/1857020202157669*c_0101_6^3 - 13288296012147809/1857020202157669*c_0101_6^2 + 6810048335793232/1857020202157669*c_0101_6 + 4403145803316240/1857020202157669, c_0101_1 + 349934742957590/1857020202157669*c_0101_6^17 + 210172319804341/1857020202157669*c_0101_6^16 - 2616143105556675/1857020202157669*c_0101_6^15 - 4470282034426631/1857020202157669*c_0101_6^14 + 3002207401952528/1857020202157669*c_0101_6^13 + 12298473289199638/1857020202157669*c_0101_6^12 + 6147286505640464/1857020202157669*c_0101_6^11 - 8814833948491138/1857020202157669*c_0101_6^10 - 9467897414968601/1857020202157669*c_0101_6^9 + 1286295596101273/1857020202157669*c_0101_6^8 + 5185128321593306/1857020202157669*c_0101_6^7 + 1418537856670033/1857020202157669*c_0101_6^6 - 1591987228159520/1857020202157669*c_0101_6^5 - 1089671543185873/1857020202157669*c_0101_6^4 + 181714787836249/1857020202157669*c_0101_6^3 - 1954632260255590/1857020202157669*c_0101_6^2 - 2930016571846979/1857020202157669*c_0101_6 - 35206048659186/1857020202157669, c_0101_5 - c_0101_6, c_0101_6^18 + 9/7*c_0101_6^17 - 52/7*c_0101_6^16 - 129/7*c_0101_6^15 + 12/7*c_0101_6^14 + 48*c_0101_6^13 + 327/7*c_0101_6^12 - 163/7*c_0101_6^11 - 457/7*c_0101_6^10 - 164/7*c_0101_6^9 + 178/7*c_0101_6^8 + 151/7*c_0101_6^7 - 22/7*c_0101_6^6 - 73/7*c_0101_6^5 - 23/7*c_0101_6^4 + 8/7*c_0101_6^3 + 8/7*c_0101_6^2 + 1/7*c_0101_6 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB