Magma V2.19-8 Tue Aug 20 2013 23:57:57 on localhost [Seed = 3187397914] Type ? for help. Type -D to quit. Loading file "L14n38542__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38542 geometric_solution 10.92709835 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 0 1 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 7 -6 -1 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.331961639495 0.958625283323 0 5 7 6 0132 0132 0132 0132 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.384115708450 1.212477003721 5 0 9 8 0132 0132 0132 0132 1 1 1 0 0 1 0 -1 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 -7 0 7 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430009185988 0.925923500044 6 4 10 0 3120 2103 0132 0132 1 0 1 0 0 1 0 -1 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 -6 0 6 -1 0 0 1 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.299013697490 1.394407905381 5 3 0 10 3012 2103 0132 0132 1 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 -1 1 0 1 0 -1 0 -6 6 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032291308507 0.583639578647 2 1 11 4 0132 0132 0132 1230 0 1 0 1 0 0 0 0 0 0 1 -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 1 0 -1 0 0 -6 6 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154830729486 0.743201722910 11 9 1 3 0321 2103 0132 3120 0 0 1 1 0 1 0 -1 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 3 -1 -2 -1 0 0 1 0 0 0 0 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160188911124 1.167147853049 11 11 10 1 2031 0132 2103 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732039550118 1.105490174282 9 8 2 8 2310 1302 0132 2031 1 1 1 1 0 -1 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 0 0 0 0 7 -7 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016036279611 1.228916751634 10 6 8 2 1023 2103 3201 0132 1 1 0 1 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 0 0 0 0 0 0 0 0 -3 0 3 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430009185988 0.925923500044 7 9 4 3 2103 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555814359383 1.043721275697 6 7 7 5 0321 0132 1302 0132 0 1 1 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 0 0 0 -6 0 0 6 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207093364171 0.854378619496 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_4'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_8']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_8']), 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0011_8'], 'c_1100_8' : negation(d['c_0011_8']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_11']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_11'])})} 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_3, c_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_3, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4260758690/10784929*c_1100_0^7 - 101043659016/10784929*c_1100_0^6 + 627711810254/10784929*c_1100_0^5 - 1431432168380/10784929*c_1100_0^4 + 974325673475/10784929*c_1100_0^3 - 465941466957/10784929*c_1100_0^2 + 114354520582/10784929*c_1100_0 - 18433837585/10784929, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 5110249/10784929*c_1100_0^7 + 122448687/10784929*c_1100_0^6 - 781923892/10784929*c_1100_0^5 + 1883463794/10784929*c_1100_0^4 - 1477688536/10784929*c_1100_0^3 + 606041250/10784929*c_1100_0^2 - 155936506/10784929*c_1100_0 + 17799331/10784929, c_0011_3 - 197289/10784929*c_1100_0^7 + 5054454/10784929*c_1100_0^6 - 37989830/10784929*c_1100_0^5 + 121819401/10784929*c_1100_0^4 - 170716598/10784929*c_1100_0^3 + 104686193/10784929*c_1100_0^2 - 49762768/10784929*c_1100_0 + 5110249/10784929, c_0011_4 + 197289/10784929*c_1100_0^7 - 5054454/10784929*c_1100_0^6 + 37989830/10784929*c_1100_0^5 - 121819401/10784929*c_1100_0^4 + 170716598/10784929*c_1100_0^3 - 104686193/10784929*c_1100_0^2 + 49762768/10784929*c_1100_0 - 5110249/10784929, c_0011_6 + 3649637/10784929*c_1100_0^7 - 87111072/10784929*c_1100_0^6 + 550303529/10784929*c_1100_0^5 - 1293416519/10784929*c_1100_0^4 + 934170657/10784929*c_1100_0^3 - 344993308/10784929*c_1100_0^2 + 77946380/10784929*c_1100_0 - 3293896/10784929, c_0011_8 + 2526646/10784929*c_1100_0^7 - 60566322/10784929*c_1100_0^6 + 387261066/10784929*c_1100_0^5 - 936455748/10784929*c_1100_0^4 + 745602562/10784929*c_1100_0^3 - 312723498/10784929*c_1100_0^2 + 78024574/10784929*c_1100_0 - 8005443/10784929, c_0101_1 - 1, c_0101_10 - 3846926/10784929*c_1100_0^7 + 92165526/10784929*c_1100_0^6 - 588293359/10784929*c_1100_0^5 + 1415235920/10784929*c_1100_0^4 - 1104887255/10784929*c_1100_0^3 + 449679501/10784929*c_1100_0^2 - 127709148/10784929*c_1100_0 + 8404145/10784929, c_0101_3 + 5110249/10784929*c_1100_0^7 - 122448687/10784929*c_1100_0^6 + 781923892/10784929*c_1100_0^5 - 1883463794/10784929*c_1100_0^4 + 1477688536/10784929*c_1100_0^3 - 606041250/10784929*c_1100_0^2 + 155936506/10784929*c_1100_0 - 7014402/10784929, c_0101_9 - 357987/10784929*c_1100_0^7 + 9187699/10784929*c_1100_0^6 - 69198086/10784929*c_1100_0^5 + 221019984/10784929*c_1100_0^4 - 305769849/10784929*c_1100_0^3 + 173170271/10784929*c_1100_0^2 - 54411099/10784929*c_1100_0 + 8957175/10784929, c_1100_0^8 - 24*c_1100_0^7 + 154*c_1100_0^6 - 376*c_1100_0^5 + 313*c_1100_0^4 - 152*c_1100_0^3 + 51*c_1100_0^2 - 9*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB