Magma V2.19-8 Tue Aug 20 2013 16:17:23 on localhost [Seed = 2968595581] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1610 geometric_solution 5.36888218 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 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 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461168355135 1.022275977600 3 3 4 0 0132 2310 0132 0132 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 -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 -0.000037561535 0.673073163375 5 5 0 4 0132 2310 0132 2310 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 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 -0.000037561535 0.673073163375 1 5 5 1 0132 1230 3012 3201 0 0 0 0 0 -1 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.437153304584 0.792678515261 2 6 6 1 3201 0132 1023 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 0.964622881239 0.731543883074 2 3 3 2 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.437153304584 0.792678515261 6 4 4 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.688046286742 0.362711517991 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : 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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), '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' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), '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_2'], 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 13768900647221697435/517922075938959016*c_0101_6^14 - 1635790030472598363/13629528314183132*c_0101_6^13 + 45102659749344341711/517922075938959016*c_0101_6^12 - 116839757841459027059/517922075938959016*c_0101_6^11 - 478244885127870192703/517922075938959016*c_0101_6^10 - 838191068445647380663/258961037969479508*c_0101_6^9 - 1963694069042037444745/517922075938959016*c_0101_6^8 - 2525013110079535038395/517922075938959016*c_0101_6^7 - 1709347609201111449755/517922075938959016*c_0101_6^6 - 137339390517420536841/517922075938959016*c_0101_6^5 + 98005696068121982701/258961037969479508*c_0101_6^4 + 68030850280701959519/258961037969479508*c_0101_6^3 + 12471485517595071260/64740259492369877*c_0101_6^2 + 54673994070016982177/129480518984739754*c_0101_6 - 78670190203618477135/517922075938959016, c_0011_0 - 1, c_0011_1 + 232468770110354/3407382078545783*c_0101_6^14 - 1110737763723882/3407382078545783*c_0101_6^13 + 1148228193669842/3407382078545783*c_0101_6^12 - 2663067592053291/3407382078545783*c_0101_6^11 - 7296656902139531/3407382078545783*c_0101_6^10 - 26747161702796729/3407382078545783*c_0101_6^9 - 30007081169341140/3407382078545783*c_0101_6^8 - 46675539943943298/3407382078545783*c_0101_6^7 - 32390875638952218/3407382078545783*c_0101_6^6 - 8677705082027926/3407382078545783*c_0101_6^5 - 3486746924722705/3407382078545783*c_0101_6^4 + 11611369837798933/3407382078545783*c_0101_6^3 + 10908736939164200/3407382078545783*c_0101_6^2 + 5046926131301530/3407382078545783*c_0101_6 + 304156144182247/3407382078545783, c_0011_2 - 232468770110354/3407382078545783*c_0101_6^14 + 1110737763723882/3407382078545783*c_0101_6^13 - 1148228193669842/3407382078545783*c_0101_6^12 + 2663067592053291/3407382078545783*c_0101_6^11 + 7296656902139531/3407382078545783*c_0101_6^10 + 26747161702796729/3407382078545783*c_0101_6^9 + 30007081169341140/3407382078545783*c_0101_6^8 + 46675539943943298/3407382078545783*c_0101_6^7 + 32390875638952218/3407382078545783*c_0101_6^6 + 8677705082027926/3407382078545783*c_0101_6^5 + 3486746924722705/3407382078545783*c_0101_6^4 - 11611369837798933/3407382078545783*c_0101_6^3 - 10908736939164200/3407382078545783*c_0101_6^2 - 5046926131301530/3407382078545783*c_0101_6 - 304156144182247/3407382078545783, c_0011_4 + 186520753013501/3407382078545783*c_0101_6^14 - 829285413517898/3407382078545783*c_0101_6^13 + 392439204201920/3407382078545783*c_0101_6^12 - 752017738638729/3407382078545783*c_0101_6^11 - 7434057471471559/3407382078545783*c_0101_6^10 - 21450913311886154/3407382078545783*c_0101_6^9 - 22957873426039842/3407382078545783*c_0101_6^8 - 18873611001854944/3407382078545783*c_0101_6^7 - 7857865955321977/3407382078545783*c_0101_6^6 + 22035725058358368/3407382078545783*c_0101_6^5 + 19131250107689443/3407382078545783*c_0101_6^4 + 649151355625816/3407382078545783*c_0101_6^3 + 6006295862085697/3407382078545783*c_0101_6^2 + 588026627028710/3407382078545783*c_0101_6 - 3268309042471295/3407382078545783, c_0101_1 + 265065544527969/3407382078545783*c_0101_6^14 - 1055629881880601/3407382078545783*c_0101_6^13 + 287150195707604/3407382078545783*c_0101_6^12 - 2104671221303348/3407382078545783*c_0101_6^11 - 9816217414715563/3407382078545783*c_0101_6^10 - 38347026253092747/3407382078545783*c_0101_6^9 - 55897862361296978/3407382078545783*c_0101_6^8 - 74159980181899264/3407382078545783*c_0101_6^7 - 61908133378661170/3407382078545783*c_0101_6^6 - 32839536662856553/3407382078545783*c_0101_6^5 - 5407607058998673/3407382078545783*c_0101_6^4 - 4189130123394194/3407382078545783*c_0101_6^3 - 4544847639453650/3407382078545783*c_0101_6^2 + 5275556431181427/3407382078545783*c_0101_6 + 657191150673282/3407382078545783, c_0101_4 - 1155641184848/3407382078545783*c_0101_6^14 + 47722755660084/3407382078545783*c_0101_6^13 - 360359554592658/3407382078545783*c_0101_6^12 + 1024499618599842/3407382078545783*c_0101_6^11 - 1465086074605544/3407382078545783*c_0101_6^10 + 494620888497109/3407382078545783*c_0101_6^9 - 218264869892841/3407382078545783*c_0101_6^8 + 9361822955100467/3407382078545783*c_0101_6^7 + 693243670431150/3407382078545783*c_0101_6^6 + 8271310943105718/3407382078545783*c_0101_6^5 + 580013097109207/3407382078545783*c_0101_6^4 - 9644385746647504/3407382078545783*c_0101_6^3 + 2756537903207239/3407382078545783*c_0101_6^2 - 557504445950021/3407382078545783*c_0101_6 - 2376452586850425/3407382078545783, c_0101_6^15 - 4*c_0101_6^14 + c_0101_6^13 - 7*c_0101_6^12 - 39*c_0101_6^11 - 140*c_0101_6^10 - 207*c_0101_6^9 - 263*c_0101_6^8 - 227*c_0101_6^7 - 85*c_0101_6^6 + 14*c_0101_6^4 + 12*c_0101_6^3 + 20*c_0101_6^2 + 3*c_0101_6 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB