Magma V2.19-8 Wed Aug 21 2013 00:58:40 on localhost [Seed = 981213519] Type ? for help. Type -D to quit. Loading file "L13n5939__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5939 geometric_solution 12.94243511 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 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 0.449259212427 0.846790103006 0 0 5 4 0132 1302 0132 0132 0 0 0 1 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 0 4 -4 0 0 -3 3 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511083455629 0.921538567306 6 0 6 7 0132 0132 3012 0132 0 0 0 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 0 0 0 0 -1 4 -3 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 0.498114962737 0.769911252459 8 8 9 0 0132 1302 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 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 0.650080757257 0.893924147574 10 11 1 12 0132 0132 0132 0132 0 0 0 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 0 0 0 0 0 -4 4 0 3 0 -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 0.581268821817 0.591275130329 9 9 7 1 0321 3120 2103 0132 0 0 1 0 0 -1 0 1 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 4 0 -4 -3 0 0 3 6 -5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538234669887 0.703732652044 2 2 11 8 0132 1230 3120 0321 0 0 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 0 0 -1 1 1 0 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594191549261 0.911513047661 5 10 2 12 2103 1230 0132 0321 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516931307240 0.983490434060 3 6 10 3 0132 0321 0132 2031 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 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379709809450 0.970028870311 5 5 11 3 0321 3120 2031 0132 0 0 1 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 0 -6 5 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538234669887 0.703732652044 4 11 7 8 0132 2031 3012 0132 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 -3 0 3 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 0.513096227798 0.633186669981 10 4 6 9 1302 0132 3120 1302 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 4 -4 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 0.489490151285 0.598036634819 12 7 4 12 3012 0321 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860090792094 0.989367511242 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_12' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_4']), 'c_1100_8' : negation(d['c_1001_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_0011_3'], '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'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : d['1'], 's_1_6' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_3']), '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' : d['c_0011_7'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_10'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_12']), '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_12, c_0011_3, c_0011_5, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 41459/202*c_1001_4^6 - 100863/101*c_1001_4^5 - 252432/101*c_1001_4^4 + 1526683/101*c_1001_4^3 - 4261561/202*c_1001_4^2 + 2248897/202*c_1001_4 - 201808/101, c_0011_0 - 1, c_0011_10 + 1023/202*c_1001_4^6 + 2837/101*c_1001_4^5 + 8198/101*c_1001_4^4 - 63697/202*c_1001_4^3 + 31655/101*c_1001_4^2 - 16329/202*c_1001_4 - 1823/202, c_0011_12 - 344/101*c_1001_4^6 - 3835/202*c_1001_4^5 - 5569/101*c_1001_4^4 + 42493/202*c_1001_4^3 - 41497/202*c_1001_4^2 + 10055/202*c_1001_4 + 715/101, c_0011_3 + 2465/202*c_1001_4^6 + 13785/202*c_1001_4^5 + 20106/101*c_1001_4^4 - 151183/202*c_1001_4^3 + 73575/101*c_1001_4^2 - 18093/101*c_1001_4 - 2125/101, c_0011_5 - 2131/202*c_1001_4^6 - 11893/202*c_1001_4^5 - 34607/202*c_1001_4^4 + 131235/202*c_1001_4^3 - 128187/202*c_1001_4^2 + 31945/202*c_1001_4 + 3601/202, c_0011_7 + 1005/202*c_1001_4^6 + 2809/101*c_1001_4^5 + 8190/101*c_1001_4^4 - 61693/202*c_1001_4^3 + 30043/101*c_1001_4^2 - 14883/202*c_1001_4 - 1785/202, c_0011_9 + 795/101*c_1001_4^6 + 4426/101*c_1001_4^5 + 25687/202*c_1001_4^4 - 98341/202*c_1001_4^3 + 48396/101*c_1001_4^2 - 24205/202*c_1001_4 - 1510/101, c_0101_0 - 1, c_0101_10 - 335/202*c_1001_4^6 - 1839/202*c_1001_4^5 - 2629/101*c_1001_4^4 + 10602/101*c_1001_4^3 - 21813/202*c_1001_4^2 + 3137/101*c_1001_4 + 393/202, c_0101_5 + 56/101*c_1001_4^6 + 629/202*c_1001_4^5 + 1839/202*c_1001_4^4 - 6847/202*c_1001_4^3 + 3252/101*c_1001_4^2 - 728/101*c_1001_4 - 315/202, c_1001_0 - 176/101*c_1001_4^6 - 974/101*c_1001_4^5 - 5621/202*c_1001_4^4 + 10976/101*c_1001_4^3 - 22187/202*c_1001_4^2 + 5889/202*c_1001_4 + 485/202, c_1001_11 + 893/202*c_1001_4^6 + 4989/202*c_1001_4^5 + 14541/202*c_1001_4^4 - 27423/101*c_1001_4^3 + 26791/101*c_1001_4^2 - 13427/202*c_1001_4 - 735/101, c_1001_4^7 + 5*c_1001_4^6 + 13*c_1001_4^5 - 71*c_1001_4^4 + 96*c_1001_4^3 - 50*c_1001_4^2 + 7*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB