Magma V2.19-8 Tue Aug 20 2013 23:52:07 on localhost [Seed = 3052658312] Type ? for help. Type -D to quit. Loading file "K12n217__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n217 geometric_solution 11.68999300 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 1 -1 0 0 8 -8 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410863214403 0.602664716316 0 0 5 4 0132 1302 0132 0132 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 8 -8 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 0.227720091674 1.132800006309 5 0 7 6 2103 0132 0132 0132 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 0 0 0 0 0 0 0 8 1 0 -9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952825823066 0.850989564014 8 7 9 0 0132 3012 0132 0132 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 0 -1 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365229902822 0.711784204380 10 11 1 6 0132 0132 0132 3120 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 -9 0 9 0 0 0 0 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531746453764 1.488183113526 12 12 2 1 0132 1230 2103 0132 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 -8 8 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 -0.461998036909 1.406073050093 4 8 2 10 3120 2310 0132 2031 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 8 -8 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.123982830526 1.409777887707 3 12 8 2 1230 1302 3012 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.372657070343 0.823837159903 3 7 10 6 0132 1230 0132 3201 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 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837794458268 1.119548125097 11 12 11 3 0321 2103 2031 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 -9 0 9 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 0.417423741882 1.485165298678 4 6 11 8 0132 1302 0321 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416372427128 1.186788144304 9 4 10 9 0321 0132 0321 1302 0 0 0 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 9 0 -9 -1 0 1 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824608818160 0.624029902536 5 9 5 7 0132 2103 3012 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 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 1.210911433054 0.641900740440 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_8'], '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_0101_10']), 'c_0101_10' : d['c_0101_10'], '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_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' : 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_1100_9' : negation(d['c_1001_4']), 'c_1100_8' : negation(d['c_0011_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0011_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0101_7'], '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_0'], '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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_12']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_1001_4, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 71132/46013*c_1001_8^4 + 170531/46013*c_1001_8^3 - 279452/46013*c_1001_8^2 - 41651/46013*c_1001_8 - 243616/46013, c_0011_0 - 1, c_0011_10 - 29/33*c_1001_8^4 + 71/33*c_1001_8^3 - 112/33*c_1001_8^2 - 26/33*c_1001_8 - 85/33, c_0011_12 + 3/11*c_1001_8^4 - 10/11*c_1001_8^3 + 15/11*c_1001_8^2 - 3/11*c_1001_8 + 5/11, c_0011_3 + 2/11*c_1001_8^4 - 3/11*c_1001_8^3 + 10/11*c_1001_8^2 - 2/11*c_1001_8 + 7/11, c_0011_6 + 7/11*c_1001_8^4 - 16/11*c_1001_8^3 + 24/11*c_1001_8^2 + 15/11*c_1001_8 + 19/11, c_0011_7 + c_1001_8, c_0101_0 + 29/33*c_1001_8^4 - 71/33*c_1001_8^3 + 112/33*c_1001_8^2 - 7/33*c_1001_8 + 85/33, c_0101_1 - 2/11*c_1001_8^4 + 3/11*c_1001_8^3 + 1/11*c_1001_8^2 - 9/11*c_1001_8 + 4/11, c_0101_10 - 7/11*c_1001_8^4 + 16/11*c_1001_8^3 - 24/11*c_1001_8^2 - 15/11*c_1001_8 - 19/11, c_0101_6 - 2/11*c_1001_8^4 + 3/11*c_1001_8^3 - 10/11*c_1001_8^2 - 20/11*c_1001_8 - 7/11, c_0101_7 + 3/11*c_1001_8^4 - 10/11*c_1001_8^3 + 15/11*c_1001_8^2 - 3/11*c_1001_8 + 5/11, c_1001_4 + 38/33*c_1001_8^4 - 101/33*c_1001_8^3 + 157/33*c_1001_8^2 + 17/33*c_1001_8 + 100/33, c_1001_8^5 - 2*c_1001_8^4 + 3*c_1001_8^3 + 2*c_1001_8^2 + 4*c_1001_8 + 1 ], 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_1001_4, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 5860663/854020398*c_1001_8^5 + 67080938/2135050995*c_1001_8^4 + 327338849/2135050995*c_1001_8^3 + 311751953/854020398*c_1001_8^2 - 109734193/1423367330*c_1001_8 - 2245720011/2846734660, c_0011_0 - 1, c_0011_10 - 3/77*c_1001_8^5 - 38/231*c_1001_8^4 - 197/231*c_1001_8^3 - 152/77*c_1001_8^2 + 31/77*c_1001_8 + 733/231, c_0011_12 - 1/21*c_1001_8^4 - 1/7*c_1001_8^3 - 19/21*c_1001_8^2 - 22/21*c_1001_8 + 31/21, c_0011_3 + 14/561*c_1001_8^5 + 31/561*c_1001_8^4 + 14/33*c_1001_8^3 + 163/561*c_1001_8^2 - 113/187*c_1001_8 + 251/187, c_0011_6 + 50/3927*c_1001_8^5 + 4/187*c_1001_8^4 + 50/231*c_1001_8^3 + 15/187*c_1001_8^2 - 2680/3927*c_1001_8 - 89/3927, c_0011_7 - 2, c_0101_0 + 32/1309*c_1001_8^5 + 151/1309*c_1001_8^4 + 43/77*c_1001_8^3 + 1735/1309*c_1001_8^2 - 1042/1309*c_1001_8 - 3595/1309, c_0101_1 + 16/1309*c_1001_8^5 + 19/561*c_1001_8^4 + 16/77*c_1001_8^3 + 118/561*c_1001_8^2 - 3620/3927*c_1001_8 + 1433/3927, c_0101_10 + 2/3927*c_1001_8^5 - 7/561*c_1001_8^4 + 2/231*c_1001_8^3 - 73/561*c_1001_8^2 + 940/3927*c_1001_8 + 2405/3927, c_0101_6 + 14/561*c_1001_8^5 + 31/561*c_1001_8^4 + 14/33*c_1001_8^3 + 163/561*c_1001_8^2 - 300/187*c_1001_8 + 251/187, c_0101_7 - 1, c_1001_4 + 16/1309*c_1001_8^5 + 320/3927*c_1001_8^4 + 27/77*c_1001_8^3 + 4379/3927*c_1001_8^2 + 494/3927*c_1001_8 - 12218/3927, c_1001_8^6 + 4*c_1001_8^5 + 20*c_1001_8^4 + 42*c_1001_8^3 - 33*c_1001_8^2 - 82*c_1001_8 + 97 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 8.980 Total time: 9.189 seconds, Total memory usage: 64.12MB