Magma V2.19-8 Tue Aug 20 2013 23:49:25 on localhost [Seed = 1713376415] Type ? for help. Type -D to quit. Loading file "L12n1702__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1702 geometric_solution 11.39388178 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 1 3 0132 0132 3012 0132 1 1 1 2 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 3 -4 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 0.319845826260 1.082473226620 0 0 5 4 0132 1230 0132 0132 1 1 2 1 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 -3 3 0 0 0 0 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416159849554 0.662323209250 6 0 8 7 0132 0132 0132 0132 1 1 2 1 0 0 0 0 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 -1 0 1 0 0 -4 4 -4 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396262569514 0.639214280570 8 8 0 9 2103 3120 0132 0132 1 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356916959037 0.785839705900 10 11 1 8 0132 0132 0132 1230 1 1 1 2 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 -3 4 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 0.237936366954 0.740574369647 11 9 6 1 2031 1302 1230 0132 1 1 1 0 0 0 -1 1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855954672238 1.067207140083 2 7 11 5 0132 2103 1302 3012 0 1 1 2 0 1 0 -1 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 1 0 -1 0 0 -3 3 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649708880693 0.565057371158 10 6 2 9 1302 2103 0132 3120 1 1 0 2 0 0 0 0 1 0 -1 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 -1 1 4 0 -4 0 0 -1 0 1 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.207474860972 1.278428561139 4 3 3 2 3012 3120 2103 0132 1 1 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 0 0 0 0 0 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 0 0 0 0.124211257272 0.920259911921 7 10 3 5 3120 3201 0132 2031 1 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 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413316489939 0.887825481537 4 7 9 11 0132 2031 2310 1023 0 1 2 1 0 -1 0 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 0 0 0 0 -1 1 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.349751066180 1.311689735174 6 4 5 10 2031 0132 1302 1023 1 0 2 1 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 1 0 -1 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303379210274 0.611980082218 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_0011_3'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_5']), 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(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_1100_9' : negation(d['c_1001_1']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : 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' : 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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_11' : d['c_0011_7'], 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_5'], '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_9'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_5, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 2467468703/7032551500*c_1001_1^4 + 10929565811/3516275750*c_1001_1^3 + 140362781059/7032551500*c_1001_1^2 + 306059898693/7032551500*c_1001_1 + 66712020113/1758137875, c_0011_0 - 1, c_0011_10 + 457/2053*c_1001_1^4 + 4172/2053*c_1001_1^3 + 26761/2053*c_1001_1^2 + 61261/2053*c_1001_1 + 52668/2053, c_0011_3 - 33/4106*c_1001_1^4 - 227/2053*c_1001_1^3 - 2175/4106*c_1001_1^2 - 6571/4106*c_1001_1 - 2535/2053, c_0011_5 - 1, c_0011_7 + 419/2053*c_1001_1^4 + 3587/2053*c_1001_1^3 + 22950/2053*c_1001_1^2 + 46540/2053*c_1001_1 + 39551/2053, c_0011_8 - 59/2053*c_1001_1^4 - 314/2053*c_1001_1^3 - 1649/2053*c_1001_1^2 + 321/2053*c_1001_1 + 1947/2053, c_0011_9 + 89/8212*c_1001_1^4 + 275/2053*c_1001_1^3 + 7359/8212*c_1001_1^2 + 23943/8212*c_1001_1 + 5938/2053, c_0101_0 + 161/4106*c_1001_1^4 + 672/2053*c_1001_1^3 + 8745/4106*c_1001_1^2 + 18123/4106*c_1001_1 + 10688/2053, c_0101_1 - 1, c_0101_2 - 105/4106*c_1001_1^4 - 349/2053*c_1001_1^3 - 3561/4106*c_1001_1^2 - 751/4106*c_1001_1 + 706/2053, c_0101_9 + 13/4106*c_1001_1^4 - 35/2053*c_1001_1^3 - 263/4106*c_1001_1^2 - 1393/4106*c_1001_1 + 812/2053, c_1001_1^5 + 10*c_1001_1^4 + 67*c_1001_1^3 + 189*c_1001_1^2 + 250*c_1001_1 + 124 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB