Magma V2.19-8 Tue Aug 20 2013 23:54:48 on localhost [Seed = 1528640284] Type ? for help. Type -D to quit. Loading file "L13n9350__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9350 geometric_solution 10.87313898 oriented_manifold CS_known -0.0000000000000001 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 0 1 2 2 0 -2 3 -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 3 -4 1 -2 0 1 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333171381843 0.474819944128 0 4 5 5 0132 0132 0213 0132 0 1 2 2 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 0 0 0 0 0 -1 1 0 2 0 -2 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 0.851428215627 0.959951272926 6 0 4 7 0132 0132 0132 0132 0 1 2 2 0 2 0 -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 -3 0 3 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 0.310733537514 1.307151263554 6 8 7 0 2031 0132 0132 0132 0 1 2 1 0 1 2 -3 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 -1 -3 4 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 -0.102335411633 0.842607281714 9 1 0 2 0132 0132 0132 0132 0 1 2 2 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 0 0 0 0 0 1 -1 0 1 0 -1 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 0.310733537514 1.307151263554 9 1 1 8 3012 0213 0132 0213 0 1 1 2 0 1 0 -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 -1 0 1 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 0.157455415531 1.017350146303 2 9 3 10 0132 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 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 0.459305321888 0.347199990628 11 8 2 3 0132 0213 0132 0132 0 1 1 2 0 0 2 -2 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 0 -3 3 0 0 0 0 -2 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647345728965 0.920257940783 11 3 7 5 3012 0132 0213 0213 0 1 1 2 0 -1 0 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 1 0 -1 0 0 -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 0 0.329587910168 0.293246756427 4 6 10 5 0132 0132 2103 1230 1 1 2 2 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 0 0 0 0 0 0.519886968375 1.183523493904 9 11 6 11 2103 0132 0132 3012 1 1 1 2 0 1 0 -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 -1 -1 2 -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 0.870351761116 0.637304857835 7 10 10 8 0132 0132 1230 1230 1 1 2 1 0 -1 1 0 0 0 0 0 1 0 0 -1 -1 0 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 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252062863173 0.547668186532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : 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' : d['c_0101_10'], 's_2_0' : negation(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' : 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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : 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_0']), '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' : d['c_0011_10'], 'c_0110_6' : d['c_0101_10'], '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_3']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0011_5'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : d['c_0110_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0110_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : d['c_1001_3']})} 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_0101_0, c_0101_10, c_0101_11, c_0110_10, c_1001_0, c_1001_1, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 267188083/6899800*c_1100_0^6 - 323844011/6899800*c_1100_0^5 - 2797244581/6899800*c_1100_0^4 + 1676855826/862475*c_1100_0^3 - 90300117409/27599200*c_1100_0^2 + 12920744687/5519840*c_1100_0 - 1618613927/2759920, c_0011_0 - 1, c_0011_10 - 16652/862475*c_1100_0^6 + 61324/862475*c_1100_0^5 + 258984/862475*c_1100_0^4 - 1232182/862475*c_1100_0^3 + 1965989/862475*c_1100_0^2 - 42183/172495*c_1100_0 - 90111/172495, c_0011_3 - 66846/862475*c_1100_0^6 - 57548/862475*c_1100_0^5 + 673557/862475*c_1100_0^4 - 1964036/862475*c_1100_0^3 + 588572/862475*c_1100_0^2 + 225481/172495*c_1100_0 + 60597/172495, c_0011_5 - 83856/862475*c_1100_0^6 - 89378/862475*c_1100_0^5 + 851302/862475*c_1100_0^4 - 2193871/862475*c_1100_0^3 + 76217/862475*c_1100_0^2 + 110936/172495*c_1100_0 + 6607/172495, c_0101_0 - 1, c_0101_10 + 66846/862475*c_1100_0^6 + 57548/862475*c_1100_0^5 - 673557/862475*c_1100_0^4 + 1964036/862475*c_1100_0^3 - 588572/862475*c_1100_0^2 - 225481/172495*c_1100_0 - 60597/172495, c_0101_11 - 74558/862475*c_1100_0^6 - 93579/862475*c_1100_0^5 + 687011/862475*c_1100_0^4 - 3794631/1724950*c_1100_0^3 + 514781/862475*c_1100_0^2 + 185393/172495*c_1100_0 + 12856/172495, c_0110_10 - 11488/862475*c_1100_0^6 - 50094/862475*c_1100_0^5 + 120246/862475*c_1100_0^4 + 330217/862475*c_1100_0^3 - 865034/862475*c_1100_0^2 - 94072/172495*c_1100_0 + 41256/172495, c_1001_0 - 1, c_1001_1 + 83856/862475*c_1100_0^6 + 89378/862475*c_1100_0^5 - 851302/862475*c_1100_0^4 + 2193871/862475*c_1100_0^3 - 76217/862475*c_1100_0^2 - 283431/172495*c_1100_0 - 6607/172495, c_1001_3 + 3402/172495*c_1100_0^6 + 6366/172495*c_1100_0^5 - 35549/172495*c_1100_0^4 + 45967/172495*c_1100_0^3 + 102471/172495*c_1100_0^2 - 11590/34499*c_1100_0 + 10798/34499, c_1100_0^7 - 11*c_1100_0^5 + 37*c_1100_0^4 - 135/4*c_1100_0^3 - 3/2*c_1100_0^2 + 5*c_1100_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB