Magma V2.19-8 Tue Aug 20 2013 23:53:52 on localhost [Seed = 1511797197] Type ? for help. Type -D to quit. Loading file "L13n7400__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7400 geometric_solution 10.84792502 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 2 2 1 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 0 -1 1 0 -1 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816362289766 1.397474579758 0 5 7 6 0132 0132 0132 0132 1 2 1 2 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 4 0 -4 -1 0 1 0 0 -1 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.067227143315 0.861352835658 8 0 6 7 0132 0132 0132 0132 1 2 1 2 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 -1 4 -3 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.067227143315 0.861352835658 9 10 9 0 0132 0132 3012 0132 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -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 -1 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 0.391288106906 0.681739310090 9 10 0 10 3120 0321 0132 3120 1 2 0 2 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 1 -1 0 0 0 0 1 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391288106906 0.681739310090 8 1 11 11 1023 0132 0132 1230 1 1 2 1 0 1 0 -1 -1 0 0 1 -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 -4 0 4 3 0 0 -3 5 -4 0 -1 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150055553564 0.938174985337 9 10 1 2 2103 0213 0132 0132 1 2 2 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 4 -4 0 0 0 0 5 0 0 -5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816362289766 1.397474579758 8 11 2 1 3120 0132 0132 0132 1 2 2 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 0 0 0 0 0 0 0 -3 3 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 -0.523363101907 0.641300548522 2 5 11 7 0132 1023 0321 3120 1 2 2 1 0 1 -1 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 -3 3 0 0 0 1 -1 5 -5 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579511447249 0.650541767218 3 3 6 4 0132 1230 2103 3120 2 2 0 1 0 0 1 -1 0 0 0 0 -2 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 -5 4 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 0.728735631176 0.816162345557 4 3 6 4 3120 0132 0213 0321 1 2 0 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 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 0.366719499039 1.103361446972 5 7 8 5 3012 0132 0321 0132 1 1 1 2 0 -1 1 0 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 3 -3 0 -4 0 4 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 -0.376297003159 0.593013240372 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(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' : d['c_0011_6'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_1100_1'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : d['c_1001_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 469925/254176*c_1001_2^6 + 7278815/254176*c_1001_2^5 - 7664753/127088*c_1001_2^4 + 12810047/127088*c_1001_2^3 - 28837689/254176*c_1001_2^2 + 18582385/254176*c_1001_2 - 12541041/254176, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 90/47*c_1001_2^6 - 513/47*c_1001_2^5 + 1126/47*c_1001_2^4 - 1661/47*c_1001_2^3 + 1644/47*c_1001_2^2 - 1087/47*c_1001_2 + 508/47, c_0011_4 + 325/188*c_1001_2^6 - 795/188*c_1001_2^5 + 563/94*c_1001_2^4 - 619/94*c_1001_2^3 + 657/188*c_1001_2^2 - 429/188*c_1001_2 + 85/188, c_0011_6 + 185/47*c_1001_2^6 - 467/47*c_1001_2^5 + 774/47*c_1001_2^4 - 858/47*c_1001_2^3 + 575/47*c_1001_2^2 - 357/47*c_1001_2 + 5/47, c_0101_0 - c_1001_2, c_0101_1 - 1, c_0101_11 + 20/47*c_1001_2^6 + 121/47*c_1001_2^5 - 319/47*c_1001_2^4 + 550/47*c_1001_2^3 - 606/47*c_1001_2^2 + 406/47*c_1001_2 - 237/47, c_0101_5 - 450/47*c_1001_2^6 + 1390/47*c_1001_2^5 - 2575/47*c_1001_2^4 + 3276/47*c_1001_2^3 - 2815/47*c_1001_2^2 + 1769/47*c_1001_2 - 519/47, c_1001_0 - 185/47*c_1001_2^6 + 467/47*c_1001_2^5 - 774/47*c_1001_2^4 + 858/47*c_1001_2^3 - 622/47*c_1001_2^2 + 357/47*c_1001_2 - 5/47, c_1001_2^7 - 16/5*c_1001_2^6 + 37/5*c_1001_2^5 - 56/5*c_1001_2^4 + 63/5*c_1001_2^3 - 54/5*c_1001_2^2 + 6*c_1001_2 - 13/5, c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB