Magma V2.19-8 Tue Aug 20 2013 23:38:36 on localhost [Seed = 3296895217] Type ? for help. Type -D to quit. Loading file "K11n73__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n73 geometric_solution 10.40453674 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 1 0 -1 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 0.191845402975 0.707544684667 0 2 6 5 0132 2310 0132 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 -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 1.111716835590 1.215029001099 7 0 8 1 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.443473131094 0.699562402819 8 9 6 0 0132 0132 1023 0132 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 0 0 0 0 0 -1 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 0.793294609156 1.363875070569 10 9 0 5 0132 0321 0132 1023 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 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 0.276254752933 1.050236520394 10 7 1 4 2103 3201 0132 1023 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 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 0.363871754213 0.411264935270 10 9 3 1 3120 3201 1023 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 -1 1 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 0.516802240676 0.712649745147 2 8 5 9 0132 3201 2310 2310 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 0 0 0 0 0 0 0 1 -1 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 1.111716835590 1.215029001099 3 10 7 2 0132 2103 2310 0132 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 1 -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 0.191845402975 0.707544684667 7 3 6 4 3201 0132 2310 0321 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 0 0 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 0.516802240676 0.712649745147 4 8 5 6 0132 2103 2103 3120 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 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 0.444887815359 0.645582728262 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], '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' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_1100_9' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : negation(d['c_0101_6']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0011_6'], 'c_1100_8' : d['c_0011_0'], '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' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_10']), '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_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_2'], '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_7'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_7, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 112*c_0101_6*c_1100_0 + 192*c_0101_6 - 224*c_1100_0 + 384, c_0011_0 - 1, c_0011_10 + c_0101_6 - c_1100_0, c_0011_3 - c_1100_0, c_0011_6 - c_1100_0 + 1, c_0101_0 - c_0101_6 - c_1100_0 + 1, c_0101_1 + c_0101_6 - c_1100_0, c_0101_2 - c_1100_0 + 1, c_0101_6^2 + c_0101_6*c_1100_0 - c_0101_6 - 2*c_1100_0 + 1, c_0101_7 + c_1100_0 - 1, c_1001_0 - c_1100_0 + 1, c_1100_0^2 - 2*c_1100_0 + 1/2 ], 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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_7, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 20368/73*c_1100_0^6 + 86548/73*c_1100_0^5 - 112240/73*c_1100_0^4 + 2980/73*c_1100_0^3 + 57924/73*c_1100_0^2 + 1264/73*c_1100_0 - 20170/73, c_0011_0 - 1, c_0011_10 - 156/73*c_1100_0^6 + 576/73*c_1100_0^5 - 536/73*c_1100_0^4 - 276/73*c_1100_0^3 + 277/73*c_1100_0^2 + 157/73*c_1100_0 - 74/73, c_0011_3 - c_1100_0, c_0011_6 + 136/73*c_1100_0^6 - 592/73*c_1100_0^5 + 778/73*c_1100_0^4 + 16/73*c_1100_0^3 - 453/73*c_1100_0^2 - 62/73*c_1100_0 + 145/73, c_0101_0 - 104/73*c_1100_0^6 + 384/73*c_1100_0^5 - 406/73*c_1100_0^4 - 38/73*c_1100_0^3 + 63/73*c_1100_0^2 + 56/73*c_1100_0 - 25/73, c_0101_1 - 156/73*c_1100_0^6 + 576/73*c_1100_0^5 - 536/73*c_1100_0^4 - 276/73*c_1100_0^3 + 277/73*c_1100_0^2 + 157/73*c_1100_0 - 74/73, c_0101_2 + 28/73*c_1100_0^6 - 36/73*c_1100_0^5 - 76/73*c_1100_0^4 + 72/73*c_1100_0^3 + 115/73*c_1100_0^2 + 13/73*c_1100_0 - 41/73, c_0101_6 + 104/73*c_1100_0^6 - 384/73*c_1100_0^5 + 406/73*c_1100_0^4 + 38/73*c_1100_0^3 - 63/73*c_1100_0^2 - 56/73*c_1100_0 + 25/73, c_0101_7 - 192/73*c_1100_0^6 + 664/73*c_1100_0^5 - 626/73*c_1100_0^4 - 160/73*c_1100_0^3 + 77/73*c_1100_0^2 + 182/73*c_1100_0 + 10/73, c_1001_0 + 28/73*c_1100_0^6 - 36/73*c_1100_0^5 - 76/73*c_1100_0^4 + 72/73*c_1100_0^3 + 115/73*c_1100_0^2 + 13/73*c_1100_0 - 41/73, c_1100_0^7 - 4*c_1100_0^6 + 9/2*c_1100_0^5 + c_1100_0^4 - 5/2*c_1100_0^3 - c_1100_0^2 + c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB