Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 1014866154] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1113 geometric_solution 4.97677029 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 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 -1 0 1 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 -0.084947390568 0.678987175344 0 3 3 4 0132 2310 1302 0132 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 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 0.312920434342 0.703253991348 2 0 0 2 3201 0132 1023 2310 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 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 1.817002649830 0.550524620998 1 4 0 1 2031 0132 0132 3201 0 0 0 0 0 0 1 -1 1 0 -1 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 -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 0.312920434342 0.703253991348 5 3 1 5 0132 0132 0132 3201 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 -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 0.651320041861 0.205250357310 4 4 6 6 0132 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.181418621334 1.450084769301 5 6 5 6 2310 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.841775524237 0.567217439922 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : 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_3, c_0011_6, c_0101_0, c_0101_2, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t - 135544285/2258*c_0110_3^18 + 714481843/1129*c_0110_3^17 - 3400759857/1129*c_0110_3^16 + 8544209892/1129*c_0110_3^15 - 9519504249/1129*c_0110_3^14 - 6636652300/1129*c_0110_3^13 + 78601527749/2258*c_0110_3^12 - 112248809309/2258*c_0110_3^11 + 45511791017/2258*c_0110_3^10 + 41526008357/1129*c_0110_3^9 - 69363706601/1129*c_0110_3^8 + 71000528889/2258*c_0110_3^7 + 14323320055/1129*c_0110_3^6 - 60824263745/2258*c_0110_3^5 + 14209455925/1129*c_0110_3^4 + 3109919189/2258*c_0110_3^3 - 3816341849/1129*c_0110_3^2 + 1315400163/1129*c_0110_3 - 300465339/2258, c_0011_0 - 1, c_0011_3 + 1043857/1129*c_0101_2*c_0110_3^18 - 22281801/2258*c_0101_2*c_0110_3^17 + 107483009/2258*c_0101_2*c_0110_3^16 - 275390303/2258*c_0101_2*c_0110_3^15 + 160481219/1129*c_0101_2*c_0110_3^14 + 90629331/1129*c_0101_2*c_0110_3^13 - 1249990091/2258*c_0101_2*c_0110_3^12 + 1865573859/2258*c_0101_2*c_0110_3^11 - 852244199/2258*c_0101_2*c_0110_3^10 - 635148246/1129*c_0101_2*c_0110_3^9 + 2308936061/2258*c_0101_2*c_0110_3^8 - 1278831645/2258*c_0101_2*c_0110_3^7 - 199884515/1129*c_0101_2*c_0110_3^6 + 1017480861/2258*c_0101_2*c_0110_3^5 - 258094391/1129*c_0101_2*c_0110_3^4 - 16865731/1129*c_0101_2*c_0110_3^3 + 65870204/1129*c_0101_2*c_0110_3^2 - 48148335/2258*c_0101_2*c_0110_3 + 2856934/1129*c_0101_2, c_0011_6 + 9796518/1129*c_0101_2*c_0110_3^18 - 102992379/1129*c_0101_2*c_0110_3^17 + 977321289/2258*c_0101_2*c_0110_3^16 - 2443417671/2258*c_0101_2*c_0110_3^15 + 2689197791/2258*c_0101_2*c_0110_3^14 + 988477711/1129*c_0101_2*c_0110_3^13 - 5642331606/1129*c_0101_2*c_0110_3^12 + 15919434409/2258*c_0101_2*c_0110_3^11 - 6211908923/2258*c_0101_2*c_0110_3^10 - 12065861371/2258*c_0101_2*c_0110_3^9 + 9838366424/1129*c_0101_2*c_0110_3^8 - 9808188895/2258*c_0101_2*c_0110_3^7 - 4277120543/2258*c_0101_2*c_0110_3^6 + 4309498169/1129*c_0101_2*c_0110_3^5 - 3911065411/2258*c_0101_2*c_0110_3^4 - 249185579/1129*c_0101_2*c_0110_3^3 + 535681021/1129*c_0101_2*c_0110_3^2 - 179648744/1129*c_0101_2*c_0110_3 + 40064435/2258*c_0101_2, c_0101_0 - 1813077/1129*c_0101_2*c_0110_3^18 + 38483033/2258*c_0101_2*c_0110_3^17 - 92248965/1129*c_0101_2*c_0110_3^16 + 234246510/1129*c_0101_2*c_0110_3^15 - 534993123/2258*c_0101_2*c_0110_3^14 - 166987644/1129*c_0101_2*c_0110_3^13 + 2139918747/2258*c_0101_2*c_0110_3^12 - 1564846887/1129*c_0101_2*c_0110_3^11 + 678084913/1129*c_0101_2*c_0110_3^10 + 2216040855/2258*c_0101_2*c_0110_3^9 - 3871651319/2258*c_0101_2*c_0110_3^8 + 1034480807/1129*c_0101_2*c_0110_3^7 + 730502047/2258*c_0101_2*c_0110_3^6 - 1702522037/2258*c_0101_2*c_0110_3^5 + 831871709/2258*c_0101_2*c_0110_3^4 + 35529412/1129*c_0101_2*c_0110_3^3 - 108678643/1129*c_0101_2*c_0110_3^2 + 77235317/2258*c_0101_2*c_0110_3 - 8990345/2258*c_0101_2, c_0101_2^2 + 565209859/2258*c_0110_3^18 - 5933592773/2258*c_0110_3^17 + 14053987306/1129*c_0110_3^16 - 70105934683/2258*c_0110_3^15 + 76715830915/2258*c_0110_3^14 + 57737204199/2258*c_0110_3^13 - 324283785883/2258*c_0110_3^12 + 227489684923/1129*c_0110_3^11 - 174554736645/2258*c_0110_3^10 - 174122503152/1129*c_0110_3^9 + 562231559305/2258*c_0110_3^8 - 277266620521/2258*c_0110_3^7 - 62279971854/1129*c_0110_3^6 + 123049019580/1129*c_0110_3^5 - 110431279051/2258*c_0110_3^4 - 7385197288/1129*c_0110_3^3 + 30461131369/2258*c_0110_3^2 - 5069085067/1129*c_0110_3 + 1125051011/2258, c_0101_5 + 8532627/2258*c_0110_3^18 - 45521198/1129*c_0110_3^17 + 439041761/2258*c_0110_3^16 - 1124424791/2258*c_0110_3^15 + 654627560/1129*c_0110_3^14 + 742961793/2258*c_0110_3^13 - 2552620402/1129*c_0110_3^12 + 7612240595/2258*c_0110_3^11 - 3469258083/2258*c_0110_3^10 - 5192775151/2258*c_0110_3^9 + 4710574371/1129*c_0110_3^8 - 2604841900/1129*c_0110_3^7 - 1637806819/2258*c_0110_3^6 + 2075609946/1129*c_0110_3^5 - 1051261726/1129*c_0110_3^4 - 139179005/2258*c_0110_3^3 + 268567357/1129*c_0110_3^2 - 196082481/2258*c_0110_3 + 11630839/1129, c_0110_3^19 - 11*c_0110_3^18 + 55*c_0110_3^17 - 149*c_0110_3^16 + 198*c_0110_3^15 + 34*c_0110_3^14 - 625*c_0110_3^13 + 1093*c_0110_3^12 - 713*c_0110_3^11 - 461*c_0110_3^10 + 1304*c_0110_3^9 - 990*c_0110_3^8 + 26*c_0110_3^7 + 546*c_0110_3^6 - 414*c_0110_3^5 + 72*c_0110_3^4 + 67*c_0110_3^3 - 45*c_0110_3^2 + 11*c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB