Magma V2.19-8 Tue Aug 20 2013 16:18:42 on localhost [Seed = 997893706] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2869 geometric_solution 6.08730233 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 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 1 -2 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 0.568798687367 0.533693692290 0 4 5 2 0132 0132 0132 1302 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 -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 0.764895685102 0.548130776929 0 0 1 3 2310 0132 2031 2031 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 -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 0.395133614053 1.031509036372 5 2 0 4 1023 1302 0132 1023 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 2 -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 0.764895685102 0.548130776929 4 1 4 3 2031 0132 1302 1023 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 -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 0.808289603246 0.506088455251 6 3 6 1 0132 1023 2310 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 -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 1.530049313514 0.519650625280 5 5 6 6 0132 3201 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 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 0.486193787903 0.507776602542 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : 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' : 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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), '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_0110_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), '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_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0110_4'], '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_0101_0, c_0101_1, c_0101_5, c_0110_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 57924427743/1345211800000*c_0110_4^12 + 7879655695073/30939871400000*c_0110_4^11 + 15419992321291/30939871400000*c_0110_4^10 - 3954963495281/6187974280000*c_0110_4^9 - 113806610334809/30939871400000*c_0110_4^8 - 88401873065489/30939871400000*c_0110_4^7 + 274424410782539/30939871400000*c_0110_4^6 + 247035749529021/15469935700000*c_0110_4^5 - 4981459596181/966870981250*c_0110_4^4 - 1020905850626443/30939871400000*c_0110_4^3 - 425770215324353/30939871400000*c_0110_4^2 + 392252688215141/15469935700000*c_0110_4 + 792500813963303/30939871400000, c_0011_0 - 1, c_0011_3 + 42387577/27845884260*c_0110_4^12 + 420228851/27845884260*c_0110_4^11 + 166669229/5569176852*c_0110_4^10 - 516583171/9281961420*c_0110_4^9 - 9176252333/27845884260*c_0110_4^8 - 2831861027/27845884260*c_0110_4^7 + 3194835533/3093987140*c_0110_4^6 + 18009337609/13922942130*c_0110_4^5 - 9065142197/4640980710*c_0110_4^4 - 8855385927/3093987140*c_0110_4^3 + 34812191003/27845884260*c_0110_4^2 + 26371588037/6961471065*c_0110_4 - 1351655267/1210690620, c_0101_0 - 1037134949/55691768520*c_0110_4^12 - 2690988953/27845884260*c_0110_4^11 - 1387156261/11138353704*c_0110_4^10 + 1039798729/2320490355*c_0110_4^9 + 73926961957/55691768520*c_0110_4^8 - 4619599099/27845884260*c_0110_4^7 - 27240558421/6187974280*c_0110_4^6 - 34850261267/11138353704*c_0110_4^5 + 24884738167/3712784568*c_0110_4^4 + 6803211991/773496785*c_0110_4^3 - 188717701123/55691768520*c_0110_4^2 - 506222101021/55691768520*c_0110_4 - 489005596/302672655, c_0101_1 - 183951223/27845884260*c_0110_4^12 - 310328609/27845884260*c_0110_4^11 + 215290501/5569176852*c_0110_4^10 + 1709684869/9281961420*c_0110_4^9 - 2971084513/27845884260*c_0110_4^8 - 21665918167/27845884260*c_0110_4^7 - 1324459427/3093987140*c_0110_4^6 + 27578506769/13922942130*c_0110_4^5 + 6421693553/4640980710*c_0110_4^4 - 5887059947/3093987140*c_0110_4^3 - 79249712657/27845884260*c_0110_4^2 + 12037837027/6961471065*c_0110_4 + 632705333/1210690620, c_0101_5 + 93037279/11138353704*c_0110_4^12 + 1816045309/55691768520*c_0110_4^11 + 299140309/11138353704*c_0110_4^10 - 606686431/3712784568*c_0110_4^9 - 14160200611/55691768520*c_0110_4^8 + 12066375707/55691768520*c_0110_4^7 + 1019475525/1237594856*c_0110_4^6 - 1736392289/13922942130*c_0110_4^5 - 7330929791/9281961420*c_0110_4^4 - 7033223437/18563922840*c_0110_4^3 + 38164411717/55691768520*c_0110_4^2 - 1799027605/2784588426*c_0110_4 + 3348597917/2421381240, c_0110_3 + c_0110_4^2 - 1, c_0110_4^13 + 6*c_0110_4^12 + 12*c_0110_4^11 - 14*c_0110_4^10 - 86*c_0110_4^9 - 70*c_0110_4^8 + 202*c_0110_4^7 + 377*c_0110_4^6 - 106*c_0110_4^5 - 759*c_0110_4^4 - 340*c_0110_4^3 + 565*c_0110_4^2 + 589*c_0110_4 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB