Magma V2.19-8 Tue Aug 20 2013 23:39:47 on localhost [Seed = 660685725] Type ? for help. Type -D to quit. Loading file "K14n18095__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18095 geometric_solution 9.57888282 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 1 -1 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615955315833 0.987913118171 0 2 3 4 0132 0321 3201 2310 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 -1 1 0 0 0 0 0 -12 11 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665910177787 0.658731184390 5 0 6 1 0132 0132 0132 0321 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 -1 0 1 1 0 0 -1 -1 12 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.202327160610 0.894425683267 1 7 8 0 2310 0132 0132 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 0 0 0 1 0 0 -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 0.397421183579 0.970824643476 1 9 0 7 3201 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.340184679059 0.749902647346 2 10 10 9 0132 0132 1302 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 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 0.046995202126 0.571269353829 6 6 9 2 1230 3012 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757987906494 0.997470033623 8 3 4 10 2031 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.184216071807 1.359544202266 9 10 7 3 0213 1302 1302 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 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 1.421398262264 1.092624498180 8 4 5 6 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437290772254 0.353904459047 5 5 7 8 2031 0132 2031 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856964940220 1.738721028525 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_8'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_6'], 'c_1100_8' : d['c_0101_7'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_1001_3']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : 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_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0011_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_3, c_0101_6, c_0101_7, c_0110_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 345694/181621*c_1001_3^5 - 1506046/181621*c_1001_3^4 + 6126794/181621*c_1001_3^3 + 1659542/16511*c_1001_3^2 + 11015006/181621*c_1001_3 + 939496/181621, c_0011_0 - 1, c_0011_3 - 5922/16511*c_1001_3^5 + 21248/16511*c_1001_3^4 - 81726/16511*c_1001_3^3 - 37340/1501*c_1001_3^2 - 352177/16511*c_1001_3 - 40330/16511, c_0011_6 + 262/16511*c_1001_3^5 + 6532/16511*c_1001_3^4 - 35462/16511*c_1001_3^3 + 16736/1501*c_1001_3^2 + 265666/16511*c_1001_3 + 19996/16511, c_0011_8 + 2830/16511*c_1001_3^5 - 13890/16511*c_1001_3^4 + 58594/16511*c_1001_3^3 + 10302/1501*c_1001_3^2 + 51511/16511*c_1001_3 + 10167/16511, c_0101_0 + 1334/1501*c_1001_3^5 - 5126/1501*c_1001_3^4 + 20186/1501*c_1001_3^3 + 84982/1501*c_1001_3^2 + 68715/1501*c_1001_3 + 8257/1501, c_0101_10 + 4816/16511*c_1001_3^5 - 22354/16511*c_1001_3^4 + 91522/16511*c_1001_3^3 + 20750/1501*c_1001_3^2 + 81207/16511*c_1001_3 - 2488/16511, c_0101_3 + 11582/16511*c_1001_3^5 - 49028/16511*c_1001_3^4 + 198914/16511*c_1001_3^3 + 57944/1501*c_1001_3^2 + 438688/16511*c_1001_3 + 60664/16511, c_0101_6 + 92/79*c_1001_3^5 - 408/79*c_1001_3^4 + 1670/79*c_1001_3^3 + 4684/79*c_1001_3^2 + 2734/79*c_1001_3 + 248/79, c_0101_7 - 14412/16511*c_1001_3^5 + 62918/16511*c_1001_3^4 - 257508/16511*c_1001_3^3 - 68246/1501*c_1001_3^2 - 490199/16511*c_1001_3 - 70831/16511, c_0110_4 - 8752/16511*c_1001_3^5 + 35138/16511*c_1001_3^4 - 140320/16511*c_1001_3^3 - 47642/1501*c_1001_3^2 - 403688/16511*c_1001_3 - 50497/16511, c_1001_3^6 - 4*c_1001_3^5 + 16*c_1001_3^4 + 60*c_1001_3^3 + 47*c_1001_3^2 + 8*c_1001_3 + 1/2 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_3, c_0101_6, c_0101_7, c_0110_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3488620620538/476178741247*c_1001_3^7 + 28372421298346/476178741247*c_1001_3^6 - 7235674856720/476178741247*c_1001_3^5 + 70551032067104/476178741247*c_1001_3^4 + 615152980951574/476178741247*c_1001_3^3 + 85138507666800/43288976477*c_1001_3^2 + 199648003954662/476178741247*c_1001_3 + 9936449462312/476178741247, c_0011_0 - 1, c_0011_3 - 727397474/1474237589*c_1001_3^7 + 5821696208/1474237589*c_1001_3^6 - 747673728/1474237589*c_1001_3^5 + 14567613244/1474237589*c_1001_3^4 + 130000305606/1474237589*c_1001_3^3 + 19290354836/134021599*c_1001_3^2 + 66800530033/1474237589*c_1001_3 + 6599607350/1474237589, c_0011_6 + 1449948386/1474237589*c_1001_3^7 - 11875281492/1474237589*c_1001_3^6 + 3694388900/1474237589*c_1001_3^5 - 29575678716/1474237589*c_1001_3^4 - 254069092748/1474237589*c_1001_3^3 - 34066789180/134021599*c_1001_3^2 - 63568216754/1474237589*c_1001_3 - 3663245848/1474237589, c_0011_8 + 35907202/1474237589*c_1001_3^7 - 300904294/1474237589*c_1001_3^6 + 149726136/1474237589*c_1001_3^5 - 781161928/1474237589*c_1001_3^4 - 6031107022/1474237589*c_1001_3^3 - 757917682/134021599*c_1001_3^2 + 945055391/1474237589*c_1001_3 + 673536671/1474237589, c_0101_0 - 1418887746/1474237589*c_1001_3^7 + 11342488122/1474237589*c_1001_3^6 - 1345621320/1474237589*c_1001_3^5 + 28354064560/1474237589*c_1001_3^4 + 253969504190/1474237589*c_1001_3^3 + 37822791990/134021599*c_1001_3^2 + 134546115457/1474237589*c_1001_3 + 13872751371/1474237589, c_0101_10 + 218421292/1474237589*c_1001_3^7 - 1805538062/1474237589*c_1001_3^6 + 706410946/1474237589*c_1001_3^5 - 4604860224/1474237589*c_1001_3^4 - 37931369548/1474237589*c_1001_3^3 - 4896782882/134021599*c_1001_3^2 - 8177744823/1474237589*c_1001_3 - 1192876614/1474237589, c_0101_3 + 655583070/1474237589*c_1001_3^7 - 5219887620/1474237589*c_1001_3^6 + 448221456/1474237589*c_1001_3^5 - 13005289388/1474237589*c_1001_3^4 - 117938091562/1474237589*c_1001_3^3 - 17774519472/134021599*c_1001_3^2 - 67216403226/1474237589*c_1001_3 - 7946680692/1474237589, c_0101_6 + 401254576/1474237589*c_1001_3^7 - 3113445264/1474237589*c_1001_3^6 - 407915626/1474237589*c_1001_3^5 - 7619267236/1474237589*c_1001_3^4 - 73975614992/1474237589*c_1001_3^3 - 12119818908/134021599*c_1001_3^2 - 59983713794/1474237589*c_1001_3 - 5953103160/1474237589, c_0101_7 - 619675868/1474237589*c_1001_3^7 + 4918983326/1474237589*c_1001_3^6 - 298495320/1474237589*c_1001_3^5 + 12224127460/1474237589*c_1001_3^4 + 111906984540/1474237589*c_1001_3^3 + 17016601790/134021599*c_1001_3^2 + 68161458617/1474237589*c_1001_3 + 8620217363/1474237589, c_0110_4 - 62862752/134021599*c_1001_3^7 + 501890174/134021599*c_1001_3^6 - 54358872/134021599*c_1001_3^5 + 1253313756/134021599*c_1001_3^4 + 11269927144/134021599*c_1001_3^3 + 18532437154/134021599*c_1001_3^2 + 6158689584/134021599*c_1001_3 + 661194911/134021599, c_1001_3^8 - 8*c_1001_3^7 + c_1001_3^6 - 20*c_1001_3^5 - 179*c_1001_3^4 - 292*c_1001_3^3 - 94*c_1001_3^2 - 12*c_1001_3 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB