Magma V2.19-8 Tue Aug 20 2013 23:50:37 on localhost [Seed = 206202665] Type ? for help. Type -D to quit. Loading file "L12n578__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n578 geometric_solution 11.39388178 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 -1 1 -14 0 13 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 0.303379210274 0.611980082218 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 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 0 0 0 14 0 -14 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 0.124211257272 0.920259911921 6 0 4 5 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 14 0 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.349751066180 1.311689735174 5 6 8 0 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -1 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 0 1 0 0 13 -13 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390468430202 0.413413156272 9 7 0 2 0132 3120 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 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 0.237936366954 0.740574369647 3 1 2 8 0132 0132 0132 0132 1 1 1 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 14 -14 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792525139028 1.278428561139 2 3 1 10 0132 0132 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 0 -1 -14 0 0 14 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413316489939 0.887825481537 11 4 11 1 0132 3120 3012 0132 1 1 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 0 0 -14 14 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319845826260 1.082473226620 11 9 5 3 3201 2103 0132 0132 1 1 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 14 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299417761385 1.130114742316 4 8 10 10 0132 2103 2103 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 0 -1 1 -1 0 0 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 0.855954672238 1.067207140083 9 9 6 11 2103 2310 0132 3012 1 1 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 1 -1 0 0 -14 14 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356916959037 0.785839705900 7 7 10 8 0132 1230 1230 2310 1 1 1 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 14 -14 0 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 0.416159849554 0.662323209250 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_1']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_11'], '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_0011_11'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(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' : 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' : negation(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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_10'], '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_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_3']), 'c_0110_10' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_10'], 'c_0101_8' : d['c_0101_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 1177526651/109616000*c_1100_0^4 + 12987195791/109616000*c_1100_0^3 - 12764186957/27404000*c_1100_0^2 + 17871858471/27404000*c_1100_0 - 4531559309/13702000, c_0011_0 - 1, c_0011_10 - 1/8*c_1100_0^3 + 3/4*c_1100_0^2 - 1, c_0011_11 - 1/16*c_1100_0^4 + 1/2*c_1100_0^3 - 5/4*c_1100_0^2 - 1/2*c_1100_0 + 1, c_0011_4 + 1/8*c_1100_0^4 - c_1100_0^3 + 9/4*c_1100_0^2 + c_1100_0 - 3, c_0101_0 + 1/16*c_1100_0^4 - 1/2*c_1100_0^3 + c_1100_0^2 + 3/2*c_1100_0 - 2, c_0101_1 - 1, c_0101_10 + 1/8*c_1100_0^4 - c_1100_0^3 + 5/2*c_1100_0^2 + c_1100_0 - 3, c_0101_3 - 1/16*c_1100_0^4 + 1/2*c_1100_0^3 - c_1100_0^2 - 1/2*c_1100_0 + 1, c_1001_0 + 1/16*c_1100_0^4 - 1/2*c_1100_0^3 + c_1100_0^2 + 3/2*c_1100_0 - 2, c_1001_10 - 1/4*c_1100_0^2 + 1, c_1001_11 + 1/16*c_1100_0^4 - 5/8*c_1100_0^3 + 3/2*c_1100_0^2 + 1/2*c_1100_0 - 3, c_1100_0^5 - 10*c_1100_0^4 + 32*c_1100_0^3 - 16*c_1100_0^2 - 32*c_1100_0 + 32 ], 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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 73403/1728*c_1100_0^5 + 3994745/24192*c_1100_0^4 - 4320467/24192*c_1100_0^3 - 387209/6048*c_1100_0^2 + 1209221/6048*c_1100_0 - 293729/3024, c_0011_0 - 1, c_0011_10 - 2/3*c_1100_0^5 + 43/28*c_1100_0^4 + 101/168*c_1100_0^3 - 197/84*c_1100_0^2 - 6/7*c_1100_0 + 19/21, c_0011_11 + 11/24*c_1100_0^5 - 367/336*c_1100_0^4 + 11/84*c_1100_0^3 + 149/84*c_1100_0^2 - 19/42*c_1100_0 - 1/7, c_0011_4 - 7/12*c_1100_0^5 + 13/24*c_1100_0^4 + 2*c_1100_0^3 - 11/4*c_1100_0^2 - 5/3*c_1100_0 + 7/3, c_0101_0 - 1/8*c_1100_0^5 - 185/336*c_1100_0^4 + 179/84*c_1100_0^3 - 41/42*c_1100_0^2 - 131/42*c_1100_0 + 46/21, c_0101_1 - 1, c_0101_10 + 11/12*c_1100_0^5 - 367/168*c_1100_0^4 + 11/42*c_1100_0^3 + 149/42*c_1100_0^2 - 19/21*c_1100_0 - 9/7, c_0101_3 - 1/8*c_1100_0^5 - 185/336*c_1100_0^4 + 179/84*c_1100_0^3 - 41/42*c_1100_0^2 - 89/42*c_1100_0 + 25/21, c_1001_0 + 1/8*c_1100_0^5 + 185/336*c_1100_0^4 - 179/84*c_1100_0^3 + 41/42*c_1100_0^2 + 131/42*c_1100_0 - 46/21, c_1001_10 + 1/3*c_1100_0^5 - 23/14*c_1100_0^4 + 95/42*c_1100_0^3 + 67/84*c_1100_0^2 - 18/7*c_1100_0 + 1/21, c_1001_11 + 9/8*c_1100_0^5 - 883/336*c_1100_0^4 - 79/168*c_1100_0^3 + 173/42*c_1100_0^2 - 25/42*c_1100_0 - 43/21, c_1100_0^6 - 41/14*c_1100_0^5 + 3/7*c_1100_0^4 + 40/7*c_1100_0^3 - 24/7*c_1100_0^2 - 16/7*c_1100_0 + 16/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB