Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 3035965522] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1875 geometric_solution 5.50451844 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 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 0 1 -1 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.969531814509 0.530209871220 0 2 3 0 0132 0132 0132 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 -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 0.290724313239 0.876194625698 3 1 4 5 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.142415873504 0.744985289295 6 5 2 1 0132 1023 3201 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 -1 0 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 -0.142415873504 0.744985289295 6 5 6 2 3120 2103 3012 0132 0 0 0 0 0 0 0 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 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 0.416851396906 0.559622100463 3 4 2 6 1023 2103 0132 3012 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 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 -0.888402217944 1.368115079172 3 4 5 4 0132 1230 1230 3120 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 -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 0.416851396906 0.559622100463 ==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' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_4'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_1001_6']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3593917843074/6880539817*c_1001_6^13 - 3542628192111/6880539817*c_1001_6^12 - 1945672579017/6880539817*c_1001_6^11 + 4249746362422/6880539817*c_1001_6^10 - 4269395050158/6880539817*c_1001_6^9 + 5465149307351/6880539817*c_1001_6^8 + 30506658532143/6880539817*c_1001_6^7 + 48394600059498/6880539817*c_1001_6^6 + 17063550027321/6880539817*c_1001_6^5 - 19447626744821/6880539817*c_1001_6^4 - 22279677016149/6880539817*c_1001_6^3 - 2685107980536/6880539817*c_1001_6^2 + 4399518714551/6880539817*c_1001_6 + 1281005822307/6880539817, c_0011_0 - 1, c_0011_3 - c_1001_6, c_0011_4 + 18233058519/6880539817*c_1001_6^13 + 16275441957/6880539817*c_1001_6^12 + 17001362197/6880539817*c_1001_6^11 - 9383160897/6880539817*c_1001_6^10 + 35293040316/6880539817*c_1001_6^9 - 36952288791/6880539817*c_1001_6^8 - 141672542173/6880539817*c_1001_6^7 - 240468344828/6880539817*c_1001_6^6 - 140486386942/6880539817*c_1001_6^5 - 57357869395/6880539817*c_1001_6^4 - 5814427321/6880539817*c_1001_6^3 - 3425340077/6880539817*c_1001_6^2 + 20187642668/6880539817*c_1001_6 + 10302803045/6880539817, c_0101_0 - 134343047025/6880539817*c_1001_6^13 - 142484262024/6880539817*c_1001_6^12 - 82214940845/6880539817*c_1001_6^11 + 149997978376/6880539817*c_1001_6^10 - 155012384755/6880539817*c_1001_6^9 + 189410494176/6880539817*c_1001_6^8 + 1158572437775/6880539817*c_1001_6^7 + 1890928336411/6880539817*c_1001_6^6 + 769045703907/6880539817*c_1001_6^5 - 642166329946/6880539817*c_1001_6^4 - 811447523097/6880539817*c_1001_6^3 - 118648381749/6880539817*c_1001_6^2 + 150622644465/6880539817*c_1001_6 + 39961783705/6880539817, c_0101_1 + 56023520751/6880539817*c_1001_6^13 + 46663819677/6880539817*c_1001_6^12 + 29208075768/6880539817*c_1001_6^11 - 61310282713/6880539817*c_1001_6^10 + 79604397117/6880539817*c_1001_6^9 - 99200015181/6880539817*c_1001_6^8 - 455963671860/6880539817*c_1001_6^7 - 685595757124/6880539817*c_1001_6^6 - 225161130240/6880539817*c_1001_6^5 + 241165819117/6880539817*c_1001_6^4 + 247930175096/6880539817*c_1001_6^3 + 8796972793/6880539817*c_1001_6^2 - 50744244164/6880539817*c_1001_6 - 6275595205/6880539817, c_0101_2 + 49951764414/6880539817*c_1001_6^13 + 39921183753/6880539817*c_1001_6^12 + 65548822/6880539817*c_1001_6^11 - 81862952100/6880539817*c_1001_6^10 + 55496329929/6880539817*c_1001_6^9 - 74844853989/6880539817*c_1001_6^8 - 435528458407/6880539817*c_1001_6^7 - 563043001932/6880539817*c_1001_6^6 + 36011920534/6880539817*c_1001_6^5 + 556980277827/6880539817*c_1001_6^4 + 400968721443/6880539817*c_1001_6^3 - 19816770170/6880539817*c_1001_6^2 - 120292872575/6880539817*c_1001_6 - 30510237447/6880539817, c_1001_6^14 + 4/3*c_1001_6^13 + 8/9*c_1001_6^12 - c_1001_6^11 + 7/9*c_1001_6^10 - 10/9*c_1001_6^9 - 9*c_1001_6^8 - 148/9*c_1001_6^7 - 85/9*c_1001_6^6 + 34/9*c_1001_6^5 + 73/9*c_1001_6^4 + 26/9*c_1001_6^3 - c_1001_6^2 - 7/9*c_1001_6 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB