Magma V2.19-8 Tue Aug 20 2013 23:39:45 on localhost [Seed = 2395531831] Type ? for help. Type -D to quit. Loading file "K14n16886__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n16886 geometric_solution 8.97284724 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 0321 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 4 -4 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959642343913 1.783613760740 0 4 6 5 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.176730497056 0.877689288614 7 0 6 6 0132 0132 2103 2031 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 1 -1 0 -1 0 0 1 -1 -3 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330022884369 1.525968161440 4 0 7 0 3120 0321 1023 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 -1 1 0 0 0 0 0 -3 0 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766065930957 0.434795345681 5 1 8 3 0132 0132 0132 3120 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 -1 0 1 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 0 0 0.358286502436 0.582461663792 4 7 1 8 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686759949324 0.572800651688 2 2 9 1 2103 1302 0132 0132 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 -1 0 1 0 0 0 0 1 0 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330022884369 1.525968161440 2 5 3 9 0132 0132 1023 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.539710361613 0.205737971376 10 10 5 4 0132 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391698223645 0.371721779006 7 10 10 6 3120 2103 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.099322998367 0.279212864084 8 9 8 9 0132 2103 2310 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.286650184352 0.706982116524 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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' : d['c_0101_8'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0011_9']), '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_10' : d['c_0101_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1273319/1189134*c_0101_2*c_0101_8 - 2222395/264252*c_0101_2 + 24163/66063*c_0101_8 + 2277343/792756, c_0011_0 - 1, c_0011_10 + c_0101_2 - 1/3*c_0101_8, c_0011_3 - 1/3*c_0101_2*c_0101_8 - c_0101_2 + 2/3*c_0101_8 + 1, c_0011_6 + 1/3*c_0101_8 + 1, c_0011_9 + c_0101_2 - 1, c_0101_0 + 1/3*c_0101_2*c_0101_8 + c_0101_2 - 1/3*c_0101_8, c_0101_10 - c_0101_2, c_0101_2^2 + 2/3*c_0101_2*c_0101_8 - 2*c_0101_8 - 1, c_0101_3 + 1/3*c_0101_8, c_0101_7 + 1/3*c_0101_8, c_0101_8^2 + 9*c_0101_8 + 9 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1292/5*c_0101_2*c_0101_8 + 1353/2*c_0101_2 + 61*c_0101_8 + 1597/10, c_0011_0 - 1, c_0011_10 + c_0101_2 - c_0101_8, c_0011_3 + c_0101_2*c_0101_8 + c_0101_2 + 2*c_0101_8 + 1, c_0011_6 - c_0101_8 - 1, c_0011_9 - c_0101_2 - 1, c_0101_0 - c_0101_2*c_0101_8 - c_0101_2 - c_0101_8, c_0101_10 + c_0101_2, c_0101_2^2 - 2*c_0101_2*c_0101_8 - 4*c_0101_8 - 1, c_0101_3 + c_0101_8, c_0101_7 - c_0101_8, c_0101_8^2 + 3*c_0101_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.680 Total time: 0.890 seconds, Total memory usage: 32.09MB