Magma V2.19-8 Wed Aug 21 2013 01:07:01 on localhost [Seed = 290916838] Type ? for help. Type -D to quit. Loading file "L14n32871__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32871 geometric_solution 11.15019574 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2310 0132 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 0 0 0 0 2 0 -2 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 0.680584784995 1.200265425105 0 0 4 4 0132 3201 3201 0132 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 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 0.468090179865 0.275116716803 5 0 7 6 0132 0132 0132 0132 0 1 0 1 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 -2 0 2 -1 0 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 0.386169642471 0.705828099227 8 9 0 5 0132 0132 0132 3201 0 1 0 1 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 2 -1 1 0 -1 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 0.575561501025 1.476936985299 1 10 1 8 2310 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255122886007 0.635950868080 2 3 11 10 0132 2310 0132 0132 0 1 1 0 0 0 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 1 -2 1 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149428148915 0.743690792052 12 10 2 12 0132 2310 0132 2031 0 1 1 0 0 -1 1 0 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 2 -2 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 0.637802898531 0.779249350896 12 9 9 2 2103 0321 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 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 0.982393499706 0.952451814394 3 11 9 4 0132 0132 3120 0213 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 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 0.592097182495 0.162848702408 7 3 8 7 2310 0132 3120 0321 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 0 0 0 0 1 -1 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 0.982393499706 0.952451814394 11 4 5 6 2103 0132 0132 3201 0 1 0 1 0 0 1 -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 0 -1 1 0 0 1 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.461167784742 1.905071832945 12 8 10 5 3120 0132 2103 0132 0 1 0 1 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 -2 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 0 0 0 0.609706786184 0.283910219156 6 6 7 11 0132 1302 2103 3120 1 1 0 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371016759966 0.768473744239 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_5'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_1001_0']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_7'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(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_0101_8']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(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'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0011_7'], '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' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_8']), 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_8, c_1001_0, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1184/245*c_1001_5^3 - 6752/245*c_1001_5^2 - 17712/245*c_1001_5 - 2048/35, c_0011_0 - 1, c_0011_10 + 1/5*c_1001_5^3 + 11/10*c_1001_5^2 + 31/10*c_1001_5 + 13/10, c_0011_11 + 1/5*c_1001_5^3 + 11/10*c_1001_5^2 + 21/10*c_1001_5 + 13/10, c_0011_12 - 1/10*c_1001_5^3 - 3/10*c_1001_5^2 - 3/10*c_1001_5 + 3/5, c_0011_7 + 13/35*c_1001_5^3 + 64/35*c_1001_5^2 + 144/35*c_1001_5 + 52/35, c_0101_0 - 1/5*c_1001_5^3 - 11/10*c_1001_5^2 - 31/10*c_1001_5 - 23/10, c_0101_1 - 1, c_0101_10 + 18/35*c_1001_5^3 + 94/35*c_1001_5^2 + 229/35*c_1001_5 + 142/35, c_0101_5 - 1/2*c_1001_5^3 - 5/2*c_1001_5^2 - 11/2*c_1001_5 - 3, c_0101_8 + 1, c_1001_0 + 1/2*c_1001_5, c_1001_2 + 1/5*c_1001_5^3 + 11/10*c_1001_5^2 + 31/10*c_1001_5 + 13/10, c_1001_5^4 + 6*c_1001_5^3 + 17*c_1001_5^2 + 18*c_1001_5 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.970 Total time: 1.169 seconds, Total memory usage: 32.09MB