Magma V2.19-8 Tue Aug 20 2013 23:57:25 on localhost [Seed = 1343633545] Type ? for help. Type -D to quit. Loading file "L14n32744__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32744 geometric_solution 11.19646064 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 3201 0132 0 1 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 1 -1 -1 0 1 0 0 -3 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335706032308 0.820733614533 0 4 6 5 0132 0132 0132 0132 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 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 0.869830195073 0.638511290841 0 0 6 4 2310 0132 3012 2103 0 1 1 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 -1 0 1 0 -1 1 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573057242266 1.043789026803 7 8 0 4 0132 0132 0132 2310 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776095913276 1.443602591115 3 1 5 2 3201 0132 2031 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252916541195 0.548407294147 5 5 1 4 1302 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670731699331 0.378942846712 7 2 8 1 3120 1230 3120 0132 1 1 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 -1 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711092555341 0.537391743170 3 9 10 6 0132 0132 0132 3120 0 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338009491389 0.880785780880 11 3 6 9 0132 0132 3120 0132 0 1 0 1 0 0 0 0 1 0 0 -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 1 0 -1 7 0 1 -8 3 -3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338009491389 0.880785780880 11 7 8 10 1023 0132 0132 0132 0 1 1 0 0 0 0 0 -1 0 1 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -8 0 8 0 7 0 0 -7 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200378345886 0.524221885273 11 11 9 7 3120 3201 0132 0132 0 1 1 1 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 -1 1 0 0 0 0 0 -8 8 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024968811871 1.221227474127 8 9 10 10 0132 1023 2310 3120 1 1 1 0 0 1 -1 0 -1 0 1 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 8 -8 0 -7 0 7 0 -1 -7 0 8 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024968811871 1.221227474127 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_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_2_11' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0101_4'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0011_6']), '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_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_4']), 'c_0110_10' : negation(d['c_0101_4']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0101_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : negation(d['c_0011_5']), 'c_1100_9' : negation(d['c_0101_6']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_6, c_0101_1, c_0101_11, c_0101_2, c_0101_4, c_0101_6, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 243507/3136*c_0110_5^15 + 273979/392*c_0110_5^14 - 5840725/3136*c_0110_5^13 - 745267/784*c_0110_5^12 + 37532623/3136*c_0110_5^11 - 18128287/1568*c_0110_5^10 - 76801631/3136*c_0110_5^9 + 36491075/784*c_0110_5^8 + 37291403/3136*c_0110_5^7 - 28306479/392*c_0110_5^6 + 80857401/3136*c_0110_5^5 + 5513243/112*c_0110_5^4 - 30893167/784*c_0110_5^3 - 1440871/196*c_0110_5^2 + 3276225/196*c_0110_5 - 237248/49, c_0011_0 - 1, c_0011_10 + 7/32*c_0110_5^15 - 27/16*c_0110_5^14 + 101/32*c_0110_5^13 + 93/16*c_0110_5^12 - 719/32*c_0110_5^11 - 5/8*c_0110_5^10 + 1795/32*c_0110_5^9 - 365/16*c_0110_5^8 - 2195/32*c_0110_5^7 + 635/16*c_0110_5^6 + 1335/32*c_0110_5^5 - 445/16*c_0110_5^4 - 47/4*c_0110_5^3 + 25/4*c_0110_5^2 + 1/2*c_0110_5, c_0011_11 - 1/8*c_0110_5^15 + 15/16*c_0110_5^14 - 11/8*c_0110_5^13 - 87/16*c_0110_5^12 + 123/8*c_0110_5^11 + 153/16*c_0110_5^10 - 229/4*c_0110_5^9 + 91/16*c_0110_5^8 + 891/8*c_0110_5^7 - 767/16*c_0110_5^6 - 993/8*c_0110_5^5 + 1299/16*c_0110_5^4 + 309/4*c_0110_5^3 - 259/4*c_0110_5^2 - 21*c_0110_5 + 22, c_0011_5 + 1, c_0011_6 - 1/32*c_0110_5^15 + 1/4*c_0110_5^14 - 15/32*c_0110_5^13 - 9/8*c_0110_5^12 + 141/32*c_0110_5^11 + 3/16*c_0110_5^10 - 461/32*c_0110_5^9 + 69/8*c_0110_5^8 + 753/32*c_0110_5^7 - 95/4*c_0110_5^6 - 613/32*c_0110_5^5 + 239/8*c_0110_5^4 + 37/8*c_0110_5^3 - 19*c_0110_5^2 + 5/2*c_0110_5 + 6, c_0101_1 + 1/32*c_0110_5^15 - 1/4*c_0110_5^14 + 15/32*c_0110_5^13 + 9/8*c_0110_5^12 - 141/32*c_0110_5^11 - 3/16*c_0110_5^10 + 461/32*c_0110_5^9 - 69/8*c_0110_5^8 - 753/32*c_0110_5^7 + 95/4*c_0110_5^6 + 613/32*c_0110_5^5 - 239/8*c_0110_5^4 - 37/8*c_0110_5^3 + 19*c_0110_5^2 - 5/2*c_0110_5 - 5, c_0101_11 + 15/32*c_0110_5^15 - 57/16*c_0110_5^14 + 181/32*c_0110_5^13 + 299/16*c_0110_5^12 - 1839/32*c_0110_5^11 - 99/4*c_0110_5^10 + 6315/32*c_0110_5^9 - 699/16*c_0110_5^8 - 11107/32*c_0110_5^7 + 2889/16*c_0110_5^6 + 10775/32*c_0110_5^5 - 3875/16*c_0110_5^4 - 172*c_0110_5^3 + 611/4*c_0110_5^2 + 35*c_0110_5 - 39, c_0101_2 + 1, c_0101_4 + c_0110_5^2 - 1, c_0101_6 - 1/8*c_0110_5^15 + 15/16*c_0110_5^14 - 11/8*c_0110_5^13 - 87/16*c_0110_5^12 + 123/8*c_0110_5^11 + 153/16*c_0110_5^10 - 229/4*c_0110_5^9 + 91/16*c_0110_5^8 + 891/8*c_0110_5^7 - 767/16*c_0110_5^6 - 993/8*c_0110_5^5 + 1299/16*c_0110_5^4 + 309/4*c_0110_5^3 - 259/4*c_0110_5^2 - 21*c_0110_5 + 22, c_0110_4 + 1/32*c_0110_5^15 - 1/4*c_0110_5^14 + 15/32*c_0110_5^13 + 9/8*c_0110_5^12 - 141/32*c_0110_5^11 - 3/16*c_0110_5^10 + 461/32*c_0110_5^9 - 69/8*c_0110_5^8 - 753/32*c_0110_5^7 + 95/4*c_0110_5^6 + 613/32*c_0110_5^5 - 239/8*c_0110_5^4 - 37/8*c_0110_5^3 + 19*c_0110_5^2 - 5/2*c_0110_5 - 5, c_0110_5^16 - 8*c_0110_5^15 + 15*c_0110_5^14 + 36*c_0110_5^13 - 141*c_0110_5^12 - 6*c_0110_5^11 + 461*c_0110_5^10 - 276*c_0110_5^9 - 753*c_0110_5^8 + 760*c_0110_5^7 + 613*c_0110_5^6 - 956*c_0110_5^5 - 148*c_0110_5^4 + 608*c_0110_5^3 - 112*c_0110_5^2 - 160*c_0110_5 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB