Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 1797978033] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1706 geometric_solution 5.41689644 oriented_manifold CS_known -0.0000000000000007 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 -1 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 0.376048235864 0.967428744008 3 2 4 0 0132 3012 0132 0132 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 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 1.030739255194 1.129531372874 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 -1 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 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 1.030739255194 1.129531372874 1 5 5 2 0132 0132 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750929498035 0.309448509555 2 6 6 1 3201 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020824708834 0.405432433513 5 3 3 5 3201 0132 1023 2310 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.044902338260 0.430451140541 4 4 6 6 2310 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 -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 2.319882974225 0.931905355971 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(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' : d['1'], 's_1_2' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), '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_1'], '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_0'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], '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' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : 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_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 787621084448261315/7601453684325657*c_0101_6^11 - 793913337152121853/2533817894775219*c_0101_6^10 - 1273011606594641798/2533817894775219*c_0101_6^9 - 17003989159458982763/7601453684325657*c_0101_6^8 - 8700365300238403505/2533817894775219*c_0101_6^7 - 10381181777321473199/2533817894775219*c_0101_6^6 - 16988218530493665821/2533817894775219*c_0101_6^5 - 13625402546147313221/2533817894775219*c_0101_6^4 - 27092370760831981160/7601453684325657*c_0101_6^3 - 25256644093262984780/7601453684325657*c_0101_6^2 - 5000594316057421886/7601453684325657*c_0101_6 + 821094165773703064/2533817894775219, c_0011_0 - 1, c_0011_1 - 1079119442035/822401134299*c_0101_6^11 - 1057204701857/274133711433*c_0101_6^10 - 1686672002071/274133711433*c_0101_6^9 - 23098013982541/822401134299*c_0101_6^8 - 11370249378307/274133711433*c_0101_6^7 - 13853500161967/274133711433*c_0101_6^6 - 22693672682536/274133711433*c_0101_6^5 - 17444972918545/274133711433*c_0101_6^4 - 35834232241996/822401134299*c_0101_6^3 - 32222001335557/822401134299*c_0101_6^2 - 4554264469711/822401134299*c_0101_6 + 1221726669095/274133711433, c_0011_4 - 424433561975/822401134299*c_0101_6^11 - 459708569080/274133711433*c_0101_6^10 - 743212940921/274133711433*c_0101_6^9 - 9289199858129/822401134299*c_0101_6^8 - 5204099818028/274133711433*c_0101_6^7 - 5906007816245/274133711433*c_0101_6^6 - 9402824044433/274133711433*c_0101_6^5 - 8195526113573/274133711433*c_0101_6^4 - 15908319051941/822401134299*c_0101_6^3 - 14531138491901/822401134299*c_0101_6^2 - 4531744028264/822401134299*c_0101_6 + 286866821329/274133711433, c_0101_0 + 745707240050/822401134299*c_0101_6^11 + 698923763710/274133711433*c_0101_6^10 + 1149324124925/274133711433*c_0101_6^9 + 15946788622730/822401134299*c_0101_6^8 + 7338401318312/274133711433*c_0101_6^7 + 9896095099613/274133711433*c_0101_6^6 + 15290800995377/274133711433*c_0101_6^5 + 11313009149981/274133711433*c_0101_6^4 + 26853240267728/822401134299*c_0101_6^3 + 21090123566489/822401134299*c_0101_6^2 + 3617245918532/822401134299*c_0101_6 - 257637945736/274133711433, c_0101_1 - 90673278845/91377903811*c_0101_6^11 - 279225462922/91377903811*c_0101_6^10 - 448540890555/91377903811*c_0101_6^9 - 1991348515400/91377903811*c_0101_6^8 - 3143909707457/91377903811*c_0101_6^7 - 3683570263347/91377903811*c_0101_6^6 - 6348622030038/91377903811*c_0101_6^5 - 5195351442248/91377903811*c_0101_6^4 - 3403523838711/91377903811*c_0101_6^3 - 3372244858053/91377903811*c_0101_6^2 - 643956124120/91377903811*c_0101_6 + 355074396723/91377903811, c_0101_5 + 251278252880/274133711433*c_0101_6^11 + 260159407431/91377903811*c_0101_6^10 + 393749941236/91377903811*c_0101_6^9 + 5268774654704/274133711433*c_0101_6^8 + 2807208289571/91377903811*c_0101_6^7 + 2921465518301/91377903811*c_0101_6^6 + 4961299023048/91377903811*c_0101_6^5 + 3979786259031/91377903811*c_0101_6^4 + 6258404921924/274133711433*c_0101_6^3 + 7007851951451/274133711433*c_0101_6^2 + 1099344443888/274133711433*c_0101_6 - 389816845200/91377903811, c_0101_6^12 + 18/5*c_0101_6^11 + 33/5*c_0101_6^10 + 122/5*c_0101_6^9 + 228/5*c_0101_6^8 + 294/5*c_0101_6^7 + 438/5*c_0101_6^6 + 447/5*c_0101_6^5 + 323/5*c_0101_6^4 + 52*c_0101_6^3 + 25*c_0101_6^2 + 3/5*c_0101_6 - 9/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB