Magma V2.19-8 Wed Aug 21 2013 01:04:27 on localhost [Seed = 3684549530] Type ? for help. Type -D to quit. Loading file "L14n24190__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24190 geometric_solution 11.39164917 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 -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 0.017330186771 1.074915434699 0 5 7 6 0132 0132 0132 0132 1 0 1 0 0 0 1 -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 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 0.808602111692 0.843847701653 8 0 9 7 0132 0132 0132 1230 0 0 1 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 1 0 -1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097859671768 0.770384620981 10 10 8 0 0132 1302 2031 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246053526854 1.082594889631 9 5 0 8 2031 2031 0132 2031 0 0 1 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 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 0.062867870187 1.103445297732 4 1 11 9 1302 0132 0132 3201 1 0 0 1 0 0 0 0 0 0 -1 1 -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 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 0.509394215311 0.606234502235 12 12 1 10 0132 3120 0132 3201 1 0 1 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 0 0 0 0 0 0 0 2 -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 0 0 0 0 0 1.477266867070 1.117272524803 2 11 12 1 3012 0132 3120 0132 1 0 0 1 0 0 1 -1 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 1 -2 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 0.814474939406 0.488870951786 2 4 11 3 0132 1302 3120 1302 0 0 0 1 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 0 0 0 0 0 -1 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.385440144504 1.261564560052 11 5 4 2 0132 2310 1302 0132 0 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.924018253997 0.988569050651 3 6 12 3 0132 2310 0132 2031 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433191290547 0.622021183311 9 7 8 5 0132 0132 3120 0132 1 0 1 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 -1 1 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 0.523429739952 0.506693787414 6 6 7 10 0132 3120 3120 0132 1 0 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.092120329783 0.791595516465 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : negation(d['c_0110_4']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_12']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_1001_12']), 'c_1001_6' : negation(d['c_1001_12']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0110_4'], 'c_1001_8' : d['c_0110_4'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_4']), 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_1001_12']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : d['c_1010_8'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_7']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_0110_5, c_1001_12, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 11127476733/413726845*c_1010_8^7 - 262984628588/2068634225*c_1010_8^6 - 650896099872/2068634225*c_1010_8^5 - 568303569894/2068634225*c_1010_8^4 + 339421146863/2068634225*c_1010_8^3 + 552366230811/2068634225*c_1010_8^2 - 5385580744/82745369*c_1010_8 - 194379178124/2068634225, c_0011_0 - 1, c_0011_10 + 3406595/11820767*c_1010_8^7 + 16388949/11820767*c_1010_8^6 + 40153544/11820767*c_1010_8^5 + 34783928/11820767*c_1010_8^4 - 23026816/11820767*c_1010_8^3 - 31198513/11820767*c_1010_8^2 + 17677281/11820767*c_1010_8 + 6861398/11820767, c_0011_11 - 5176950/11820767*c_1010_8^7 - 21022535/11820767*c_1010_8^6 - 43686389/11820767*c_1010_8^5 - 12285999/11820767*c_1010_8^4 + 65671532/11820767*c_1010_8^3 + 21029024/11820767*c_1010_8^2 - 45422794/11820767*c_1010_8 + 10094076/11820767, c_0011_12 + 360930/11820767*c_1010_8^7 + 2033531/11820767*c_1010_8^6 + 4262871/11820767*c_1010_8^5 + 1342779/11820767*c_1010_8^4 - 13559204/11820767*c_1010_8^3 - 14788616/11820767*c_1010_8^2 + 7440075/11820767*c_1010_8 + 7986760/11820767, c_0011_4 + 8724795/11820767*c_1010_8^7 + 34956784/11820767*c_1010_8^6 + 74715163/11820767*c_1010_8^5 + 26389571/11820767*c_1010_8^4 - 92719273/11820767*c_1010_8^3 - 33544933/11820767*c_1010_8^2 + 57789974/11820767*c_1010_8 - 6466620/11820767, c_0101_0 - 2409215/11820767*c_1010_8^7 - 9620013/11820767*c_1010_8^6 - 18780310/11820767*c_1010_8^5 + 567914/11820767*c_1010_8^4 + 44177286/11820767*c_1010_8^3 + 24548682/11820767*c_1010_8^2 - 26581647/11820767*c_1010_8 - 5897712/11820767, c_0101_1 - 1, c_0101_11 + 1327630/11820767*c_1010_8^7 + 3644931/11820767*c_1010_8^6 + 5060248/11820767*c_1010_8^5 - 10635775/11820767*c_1010_8^4 - 21620796/11820767*c_1010_8^3 - 1611312/11820767*c_1010_8^2 + 5941326/11820767*c_1010_8 - 3124438/11820767, c_0101_7 - 4235535/11820767*c_1010_8^7 - 16649412/11820767*c_1010_8^6 - 34527175/11820767*c_1010_8^5 - 6472232/11820767*c_1010_8^4 + 55222847/11820767*c_1010_8^3 + 23574526/11820767*c_1010_8^2 - 39891557/11820767*c_1010_8 - 3255117/11820767, c_0110_4 - 5176950/11820767*c_1010_8^7 - 21022535/11820767*c_1010_8^6 - 43686389/11820767*c_1010_8^5 - 12285999/11820767*c_1010_8^4 + 65671532/11820767*c_1010_8^3 + 21029024/11820767*c_1010_8^2 - 45422794/11820767*c_1010_8 + 10094076/11820767, c_0110_5 - 1081585/11820767*c_1010_8^7 - 5975082/11820767*c_1010_8^6 - 13720062/11820767*c_1010_8^5 - 10067861/11820767*c_1010_8^4 + 22556490/11820767*c_1010_8^3 + 22937370/11820767*c_1010_8^2 - 20640321/11820767*c_1010_8 - 9022150/11820767, c_1001_12 + 3767525/11820767*c_1010_8^7 + 18422480/11820767*c_1010_8^6 + 44416415/11820767*c_1010_8^5 + 36126707/11820767*c_1010_8^4 - 36586020/11820767*c_1010_8^3 - 45987129/11820767*c_1010_8^2 + 25117356/11820767*c_1010_8 + 14848158/11820767, c_1010_8^8 + 21/5*c_1010_8^7 + 46/5*c_1010_8^6 + 21/5*c_1010_8^5 - 11*c_1010_8^4 - 29/5*c_1010_8^3 + 36/5*c_1010_8^2 + 3/5*c_1010_8 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.730 Total time: 0.940 seconds, Total memory usage: 32.09MB