Magma V2.19-8 Tue Aug 20 2013 23:52:21 on localhost [Seed = 3835858889] Type ? for help. Type -D to quit. Loading file "L13n2639__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2639 geometric_solution 10.72522683 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.892709070087 1.164082132416 0 0 5 4 0132 2310 0132 0132 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 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 0.585175583334 0.540926162522 5 0 7 6 0213 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.857972518079 0.901976573111 4 8 9 0 0132 0132 0132 0132 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 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 0.439505719387 0.667424551538 3 6 1 8 0132 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.364089086684 0.710162278740 2 10 9 1 0213 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.170351166668 1.081852325045 4 8 2 11 1023 0213 0132 0132 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 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 0.829875060434 0.794574338055 10 10 10 2 0321 3201 2031 0132 1 1 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 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539254735616 0.425904933257 11 3 6 4 0132 0132 0213 1023 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 0 0 0 0 0 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 0.394910694811 0.235674404558 11 11 5 3 1023 0321 3120 0132 1 1 1 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 0 0 0 0 0 0 0 1 0 -1 0 -8 9 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439505719387 0.667424551538 7 5 7 7 0321 0132 2310 1302 1 0 1 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 0 0 0 0 0 0 0 0 0 0 1 0 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.142027481921 0.901976573111 8 9 6 9 0132 1023 0132 0321 1 1 1 1 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 1 0 0 0 0 0 1 8 0 -9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311789229322 1.045103043537 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : negation(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_10' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_0'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : d['c_0011_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : 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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_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_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_9, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 19/14*c_1001_5^7 - 33/7*c_1001_5^6 + 129/14*c_1001_5^5 - 163/14*c_1001_5^4 + 66/7*c_1001_5^3 - 48/7*c_1001_5^2 + 59/14*c_1001_5 - 15/14, c_0011_0 - 1, c_0011_10 + 2*c_1001_5^7 - 6*c_1001_5^6 + 14*c_1001_5^5 - 20*c_1001_5^4 + 22*c_1001_5^3 - 20*c_1001_5^2 + 12*c_1001_5 - 8, c_0011_11 + c_1001_5^5 - 2*c_1001_5^4 + 4*c_1001_5^3 - 4*c_1001_5^2 + 3*c_1001_5 - 2, c_0011_7 - 1, c_0101_0 + c_1001_5, c_0101_1 - 1, c_0101_11 + c_1001_5^4 - 2*c_1001_5^3 + 3*c_1001_5^2 - 2*c_1001_5 + 1, c_0101_3 - c_1001_5^7 + 2*c_1001_5^6 - 4*c_1001_5^5 + 4*c_1001_5^4 - 4*c_1001_5^3 + 4*c_1001_5^2 - 2*c_1001_5 + 2, c_0101_9 + c_1001_5^2 + 1, c_1001_0 + c_1001_5^2 + 1, c_1001_1 - 2*c_1001_5^7 + 6*c_1001_5^6 - 14*c_1001_5^5 + 20*c_1001_5^4 - 22*c_1001_5^3 + 20*c_1001_5^2 - 11*c_1001_5 + 8, c_1001_5^8 - 3*c_1001_5^7 + 7*c_1001_5^6 - 10*c_1001_5^5 + 11*c_1001_5^4 - 10*c_1001_5^3 + 6*c_1001_5^2 - 4*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB