Magma V2.19-8 Wed Aug 21 2013 00:55:27 on localhost [Seed = 1259163957] Type ? for help. Type -D to quit. Loading file "L13n10051__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10051 geometric_solution 12.07764776 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 1 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 -1 0 1 0 0 1 -1 1 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414066646582 0.850246949760 0 2 6 5 0132 3201 0132 0132 1 1 2 1 0 0 0 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 -1 0 1 0 0 0 0 3 1 0 -4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221510105423 0.860813797216 5 0 1 7 0132 0132 2310 0132 2 1 2 1 0 0 0 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 1 -1 0 0 0 0 0 4 0 0 -4 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905989847871 0.770962949113 8 9 10 0 0132 0132 0132 0132 2 1 2 0 0 0 0 0 1 0 -1 0 0 -1 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -1 -1 0 3 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741104215036 1.211583938442 11 9 0 12 0132 0321 0132 0132 2 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 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 -0.131326715621 0.834523319648 2 7 1 11 0132 2310 0132 1023 1 1 1 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 2 -2 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221510105423 0.860813797216 8 10 11 1 3012 3012 1023 0132 1 1 1 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 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 -0.280368717716 1.089545147643 8 9 2 5 2103 0213 0132 3201 2 1 1 2 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 0 0 0 -2 0 0 2 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414066646582 0.850246949760 3 10 7 6 0132 3120 2103 1230 1 1 0 2 0 0 0 0 -1 0 1 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 0 0 0 -2 0 2 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 0.572438363762 0.422259243970 12 3 7 4 1230 0132 0213 0321 2 1 0 2 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 0 0 0 0 0 0 0 0 0 0 0 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632602204157 0.600635186565 6 8 12 3 1230 3120 0132 0132 2 1 0 1 0 0 0 0 -1 0 0 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 0 0 0 -1 0 0 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 0.340195602618 0.584235988857 4 12 6 5 0132 1023 1023 1023 1 1 1 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 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 -0.280368717716 1.089545147643 11 9 4 10 1023 3012 0132 0132 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 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 0.255694929401 1.278234655550 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_0011_3'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0011_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1100_1']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_1'], '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_0101_1'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], '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_0011_7'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : negation(d['c_0101_1']), 'c_1100_8' : d['c_0101_1'], '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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_2, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 11/13*c_1100_1^6 + 27/26*c_1100_1^5 - 97/26*c_1100_1^4 + 75/13*c_1100_1^3 - 215/52*c_1100_1^2 + 106/13*c_1100_1 - 9/13, c_0011_0 - 1, c_0011_10 + 6/13*c_1100_1^6 + 8/13*c_1100_1^5 + 30/13*c_1100_1^4 + 30/13*c_1100_1^3 + 37/13*c_1100_1^2 + 32/13*c_1100_1 + 12/13, c_0011_11 + 3/13*c_1100_1^6 - 9/13*c_1100_1^5 + 2/13*c_1100_1^4 - 61/26*c_1100_1^3 - 27/13*c_1100_1^2 - 33/26*c_1100_1 - 46/13, c_0011_3 - 1, c_0011_6 + 3/13*c_1100_1^6 - 9/13*c_1100_1^5 + 2/13*c_1100_1^4 - 61/26*c_1100_1^3 - 27/13*c_1100_1^2 - 33/26*c_1100_1 - 46/13, c_0011_7 - 17/52*c_1100_1^6 - 53/52*c_1100_1^5 - 49/26*c_1100_1^4 - 443/104*c_1100_1^3 - 185/52*c_1100_1^2 - 437/104*c_1100_1 - 41/13, c_0101_0 - 17/52*c_1100_1^6 - 1/52*c_1100_1^5 - 23/26*c_1100_1^4 - 27/104*c_1100_1^3 - 3/52*c_1100_1^2 - 125/104*c_1100_1 + 9/26, c_0101_1 - 1, c_0101_10 + 4/13*c_1100_1^6 + 14/13*c_1100_1^5 + 20/13*c_1100_1^4 + 46/13*c_1100_1^3 + 29/13*c_1100_1^2 + 30/13*c_1100_1 + 21/13, c_1001_0 - 25/104*c_1100_1^6 - 29/104*c_1100_1^5 - 69/52*c_1100_1^4 - 419/208*c_1100_1^3 - 217/104*c_1100_1^2 - 661/208*c_1100_1 - 16/13, c_1001_2 + 17/52*c_1100_1^6 + 1/52*c_1100_1^5 + 23/26*c_1100_1^4 + 27/104*c_1100_1^3 + 3/52*c_1100_1^2 + 125/104*c_1100_1 - 9/26, c_1100_0 - 17/52*c_1100_1^6 - 53/52*c_1100_1^5 - 49/26*c_1100_1^4 - 443/104*c_1100_1^3 - 185/52*c_1100_1^2 - 437/104*c_1100_1 - 41/13, c_1100_1^7 + c_1100_1^6 + 6*c_1100_1^5 + 11/2*c_1100_1^4 + 11*c_1100_1^3 + 21/2*c_1100_1^2 + 6*c_1100_1 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB