Magma V2.19-8 Tue Aug 20 2013 17:55:31 on localhost [Seed = 2328575325] Type ? for help. Type -D to quit. Loading file "11_188__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_188 geometric_solution 8.06164595 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 1 2 3 0132 1302 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 1 0 -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 0.530538981486 0.792105622333 0 4 5 0 0132 0132 0132 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 1 0 0 -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 0.553723985476 0.934279662886 6 3 6 0 0132 2310 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 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 -0.083050278962 0.931940126408 7 8 0 2 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.633956548106 2.079223836424 8 1 8 5 0321 0132 2031 0132 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 1 -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 0.540987034201 0.673522165614 7 8 4 1 1302 1230 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 -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 -0.436497826018 1.085186472674 2 2 7 7 0132 3201 0321 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418619894362 0.358610921177 3 5 6 6 0132 2031 0321 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.221835095238 0.903585326735 4 3 5 4 0321 0132 3012 1302 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 1 -1 0 -1 0 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 0.275106924815 0.902482911736 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_5'], 'c_1001_8' : negation(d['c_0011_5']), 's_2_8' : d['1'], '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_0_8' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_0101_4'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : negation(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_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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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_2'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], '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' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_4']), 'c_0110_8' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 256114937/99135498*c_1001_3^13 - 1741539955/99135498*c_1001_3^12 + 2274489839/49567749*c_1001_3^11 - 569448635/7081107*c_1001_3^10 + 29183907197/99135498*c_1001_3^9 - 118798096381/99135498*c_1001_3^8 + 98762513257/33045166*c_1001_3^7 - 13909305577/3004106*c_1001_3^6 + 466175939029/99135498*c_1001_3^5 - 23030861285/7081107*c_1001_3^4 + 25660506548/16522583*c_1001_3^3 - 48261724249/99135498*c_1001_3^2 + 9462396917/99135498*c_1001_3 - 1156571057/99135498, c_0011_0 - 1, c_0011_2 - 101/132*c_1001_3^13 + 673/132*c_1001_3^12 - 815/66*c_1001_3^11 + 2611/132*c_1001_3^10 - 10889/132*c_1001_3^9 + 44929/132*c_1001_3^8 - 17513/22*c_1001_3^7 + 4539/4*c_1001_3^6 - 71201/66*c_1001_3^5 + 97489/132*c_1001_3^4 - 8273/22*c_1001_3^3 + 18055/132*c_1001_3^2 - 1136/33*c_1001_3 + 301/66, c_0011_3 - 131/66*c_1001_3^13 + 1373/132*c_1001_3^12 - 2165/132*c_1001_3^11 + 3263/132*c_1001_3^10 - 5767/33*c_1001_3^9 + 20522/33*c_1001_3^8 - 48959/44*c_1001_3^7 + 1172*c_1001_3^6 - 25961/33*c_1001_3^5 + 21463/66*c_1001_3^4 - 2517/44*c_1001_3^3 - 695/66*c_1001_3^2 + 721/66*c_1001_3 - 68/33, c_0011_5 + 31/33*c_1001_3^13 - 152/33*c_1001_3^12 + 707/132*c_1001_3^11 - 809/132*c_1001_3^10 + 10069/132*c_1001_3^9 - 17161/66*c_1001_3^8 + 8125/22*c_1001_3^7 - 861/4*c_1001_3^6 - 2159/66*c_1001_3^5 + 5023/33*c_1001_3^4 - 1564/11*c_1001_3^3 + 9817/132*c_1001_3^2 - 815/33*c_1001_3 + 313/66, c_0101_0 - 2/33*c_1001_3^13 + 151/132*c_1001_3^12 - 613/132*c_1001_3^11 + 841/132*c_1001_3^10 - 889/66*c_1001_3^9 + 5939/66*c_1001_3^8 - 12119/44*c_1001_3^7 + 849/2*c_1001_3^6 - 12613/33*c_1001_3^5 + 7597/33*c_1001_3^4 - 4221/44*c_1001_3^3 + 697/33*c_1001_3^2 - 277/66*c_1001_3 - 25/33, c_0101_1 + 199/132*c_1001_3^13 - 589/66*c_1001_3^12 + 608/33*c_1001_3^11 - 4061/132*c_1001_3^10 + 5020/33*c_1001_3^9 - 75479/132*c_1001_3^8 + 53791/44*c_1001_3^7 - 3367/2*c_1001_3^6 + 53894/33*c_1001_3^5 - 151787/132*c_1001_3^4 + 25631/44*c_1001_3^3 - 13927/66*c_1001_3^2 + 3215/66*c_1001_3 - 199/33, c_0101_2 + 35/33*c_1001_3^13 - 811/132*c_1001_3^12 + 1537/132*c_1001_3^11 - 2293/132*c_1001_3^10 + 6631/66*c_1001_3^9 - 25277/66*c_1001_3^8 + 33635/44*c_1001_3^7 - 1841/2*c_1001_3^6 + 24295/33*c_1001_3^5 - 13504/33*c_1001_3^4 + 6861/44*c_1001_3^3 - 1291/33*c_1001_3^2 + 211/66*c_1001_3 - 8/33, c_0101_4 + 445/132*c_1001_3^13 - 1339/66*c_1001_3^12 + 5483/132*c_1001_3^11 - 2120/33*c_1001_3^10 + 43981/132*c_1001_3^9 - 170507/132*c_1001_3^8 + 119487/44*c_1001_3^7 - 14067/4*c_1001_3^6 + 204199/66*c_1001_3^5 - 257489/132*c_1001_3^4 + 38813/44*c_1001_3^3 - 37289/132*c_1001_3^2 + 3887/66*c_1001_3 - 395/66, c_1001_3^14 - 7*c_1001_3^13 + 18*c_1001_3^12 - 30*c_1001_3^11 + 116*c_1001_3^10 - 478*c_1001_3^9 + 1162*c_1001_3^8 - 1767*c_1001_3^7 + 1835*c_1001_3^6 - 1383*c_1001_3^5 + 772*c_1001_3^4 - 317*c_1001_3^3 + 95*c_1001_3^2 - 18*c_1001_3 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB