Magma V2.19-8 Tue Aug 20 2013 23:54:55 on localhost [Seed = 1225728266] Type ? for help. Type -D to quit. Loading file "L13n9395__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9395 geometric_solution 11.49609721 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 0 1 -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 0.920843356159 0.403237858904 0 3 5 5 0132 3201 0213 0132 2 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 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 0.663069349773 0.684768215645 6 0 8 7 0132 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606551473835 0.550775304720 9 9 1 0 0132 1302 2310 0132 1 1 1 2 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 -1 0 1 1 0 0 -1 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663069349773 0.684768215645 10 11 0 6 0132 0132 0132 0132 1 1 1 1 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 -1 -1 2 0 0 1 -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 0.606551473835 0.550775304720 9 1 1 7 2103 0213 0132 2031 2 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 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 0.578491461627 1.175709498906 2 6 4 6 0132 1302 0132 2031 1 1 1 1 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 1 -2 1 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 0.799224337494 0.530177823453 10 5 2 10 2103 1302 0132 3201 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486084111400 0.969442349922 11 11 11 2 2031 0321 3201 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 1 -2 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 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302876159995 1.083950178175 3 10 5 3 0132 1302 2103 2031 1 1 2 1 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 -1 0 0 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578491461627 1.175709498906 4 7 7 9 0132 2310 2103 2031 2 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 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 0.486084111400 0.969442349922 8 4 8 8 2310 0132 1302 0321 1 0 1 1 0 -1 1 0 2 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 1 -1 0 -3 0 2 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 0.302876159995 1.083950178175 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0011_8'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0011_3']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0011_5'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 11487397/32836352*c_1001_2^5 - 52698625/8209088*c_1001_2^4 + 7171027875/32836352*c_1001_2^3 - 803312253/2052272*c_1001_2^2 + 6946934203/32836352*c_1001_2 - 306765563/8209088, c_0011_0 - 1, c_0011_10 + 373/8846*c_1001_2^5 + 6540/4423*c_1001_2^4 - 17819/8846*c_1001_2^3 - 1870/4423*c_1001_2^2 + 32057/8846*c_1001_2 + 942/4423, c_0011_3 - 3567/17692*c_1001_2^5 - 28769/4423*c_1001_2^4 + 508733/17692*c_1001_2^3 - 218517/4423*c_1001_2^2 + 655969/17692*c_1001_2 - 39402/4423, c_0011_5 - 771/8846*c_1001_2^5 - 12712/4423*c_1001_2^4 + 91853/8846*c_1001_2^3 - 61033/4423*c_1001_2^2 + 51273/8846*c_1001_2 + 2381/4423, c_0011_7 - 3567/17692*c_1001_2^5 - 28769/4423*c_1001_2^4 + 508733/17692*c_1001_2^3 - 218517/4423*c_1001_2^2 + 655969/17692*c_1001_2 - 39402/4423, c_0011_8 - 1, c_0101_0 - 2025/17692*c_1001_2^5 - 16057/4423*c_1001_2^4 + 325027/17692*c_1001_2^3 - 157484/4423*c_1001_2^2 + 553423/17692*c_1001_2 - 41783/4423, c_0101_10 + 572/4423*c_1001_2^5 + 19252/4423*c_1001_2^4 - 54836/4423*c_1001_2^3 + 59163/4423*c_1001_2^2 - 9608/4423*c_1001_2 - 1439/4423, c_0101_2 + 373/8846*c_1001_2^5 + 6540/4423*c_1001_2^4 - 17819/8846*c_1001_2^3 - 1870/4423*c_1001_2^2 + 23211/8846*c_1001_2 + 942/4423, c_0101_3 + 1, c_0110_5 - 771/8846*c_1001_2^5 - 12712/4423*c_1001_2^4 + 91853/8846*c_1001_2^3 - 61033/4423*c_1001_2^2 + 51273/8846*c_1001_2 + 2381/4423, c_1001_2^6 + 32*c_1001_2^5 - 151*c_1001_2^4 + 284*c_1001_2^3 - 255*c_1001_2^2 + 104*c_1001_2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB