Magma V2.19-8 Tue Aug 20 2013 17:55:32 on localhost [Seed = 2800161142] Type ? for help. Type -D to quit. Loading file "11_262__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_262 geometric_solution 7.80349450 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 9 1 2 2 3 0132 0132 1302 0132 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 0 1 -1 0 0 0 0 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.129851909034 0.596307293786 0 4 5 4 0132 0132 0132 1230 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 2 -2 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 1.106468716210 1.679754110087 0 0 6 5 2031 0132 0132 3201 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 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651351769683 1.601066047089 7 6 0 8 0132 0213 0132 0132 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 -1 1 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 -0.165332663322 1.759672441542 1 1 6 7 3012 0132 2310 0132 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 0 1 -1 2 0 -2 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 -0.037582816462 0.592943097921 8 2 7 1 1230 2310 0213 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081970630019 1.018450625534 8 4 3 2 3012 3201 0213 0132 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 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.130635056978 1.065175141594 3 5 4 8 0132 0213 0132 1230 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 -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 -0.620048686398 1.264574258839 7 5 3 6 3012 3012 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367775775162 0.982966908901 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_8' : negation(d['c_0011_5']), 's_2_8' : d['1'], '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_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_8' : d['c_0101_2'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_5']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_8' : d['c_0011_3'], 's_3_1' : negation(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_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0011_0'], 'c_0101_8' : d['c_0101_7'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_2, c_0101_4, c_0101_7, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 191374/10325*c_0110_2^5 - 19063/7375*c_0110_2^4 + 29544/7375*c_0110_2^3 + 175377/7375*c_0110_2^2 - 208729/51625*c_0110_2 - 404973/51625, c_0011_0 - 1, c_0011_3 + 300/59*c_0110_2^5 + 100/59*c_0110_2^4 + 73/59*c_0110_2^3 - 326/59*c_0110_2^2 + 14/59*c_0110_2 - 24/59, c_0011_5 + 105/59*c_0110_2^5 + 94/59*c_0110_2^4 + 117/59*c_0110_2^3 - 120/59*c_0110_2^2 - 60/59*c_0110_2 - 32/59, c_0011_6 + 40/59*c_0110_2^5 + 92/59*c_0110_2^4 - 65/59*c_0110_2^3 - 12/59*c_0110_2^2 - 124/59*c_0110_2 + 44/59, c_0011_8 - 300/59*c_0110_2^5 - 100/59*c_0110_2^4 - 73/59*c_0110_2^3 + 326/59*c_0110_2^2 - 73/59*c_0110_2 + 24/59, c_0101_2 + 185/59*c_0110_2^5 - 17/59*c_0110_2^4 + 46/59*c_0110_2^3 - 144/59*c_0110_2^2 + 46/59*c_0110_2 - 3/59, c_0101_4 - 25/59*c_0110_2^5 + 90/59*c_0110_2^4 + 48/59*c_0110_2^3 + 37/59*c_0110_2^2 - 70/59*c_0110_2 - 57/59, c_0101_7 - 130/59*c_0110_2^5 - 4/59*c_0110_2^4 - 69/59*c_0110_2^3 + 157/59*c_0110_2^2 - 69/59*c_0110_2 + 34/59, c_0110_2^6 - 1/5*c_0110_2^5 - 7/5*c_0110_2^3 + 3/5*c_0110_2^2 + 1/5 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_2, c_0101_4, c_0101_7, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 599/744*c_0110_2^7 + 457/744*c_0110_2^6 - 1651/744*c_0110_2^5 - 382/93*c_0110_2^4 + 5287/744*c_0110_2^3 - 315/124*c_0110_2^2 + 127/186*c_0110_2 - 757/744, c_0011_0 - 1, c_0011_3 - 33/62*c_0110_2^7 - 24/31*c_0110_2^6 + 7/31*c_0110_2^5 + 39/31*c_0110_2^4 - 239/62*c_0110_2^3 + 161/62*c_0110_2^2 + 5/31*c_0110_2 + 23/31, c_0011_5 - 21/62*c_0110_2^7 - 39/62*c_0110_2^6 - 4/31*c_0110_2^5 + 22/31*c_0110_2^4 - 169/62*c_0110_2^3 + 16/31*c_0110_2^2 + 43/62*c_0110_2 + 9/31, c_0011_6 + 13/31*c_0110_2^7 + 35/62*c_0110_2^6 + 2/31*c_0110_2^5 - 11/31*c_0110_2^4 + 112/31*c_0110_2^3 - 171/62*c_0110_2^2 + 149/62*c_0110_2 - 20/31, c_0011_8 + 13/31*c_0110_2^7 + 35/62*c_0110_2^6 + 2/31*c_0110_2^5 - 11/31*c_0110_2^4 + 112/31*c_0110_2^3 - 171/62*c_0110_2^2 + 149/62*c_0110_2 - 20/31, c_0101_2 - 9/62*c_0110_2^7 - 15/31*c_0110_2^6 - 15/31*c_0110_2^5 + 5/31*c_0110_2^4 - 37/62*c_0110_2^3 - 97/62*c_0110_2^2 + 7/31*c_0110_2 - 5/31, c_0101_4 + 1, c_0101_7 - 13/31*c_0110_2^7 - 35/62*c_0110_2^6 - 2/31*c_0110_2^5 + 11/31*c_0110_2^4 - 112/31*c_0110_2^3 + 171/62*c_0110_2^2 - 87/62*c_0110_2 + 20/31, c_0110_2^8 + c_0110_2^7 - c_0110_2^6 - 2*c_0110_2^5 + 9*c_0110_2^4 - 8*c_0110_2^3 + 2*c_0110_2^2 - c_0110_2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB