Magma V2.19-8 Wed Aug 21 2013 01:04:25 on localhost [Seed = 2429978835] Type ? for help. Type -D to quit. Loading file "L14n24167__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24167 geometric_solution 12.43578658 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 1 0 -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 -2 0 2 -1 0 0 1 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515640407474 0.752608331560 0 4 6 5 0132 2103 0132 0132 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 0 0 0 0 0 2 -2 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842643631008 0.492089083177 7 0 7 8 0132 0132 3012 0132 0 0 0 1 0 -1 0 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 2 0 -2 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 0.357647953401 0.706224563869 6 9 10 0 0132 0132 0132 0132 0 1 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 3 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371941646268 0.557733810320 10 1 0 9 0132 2103 0132 1230 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 0 3 -2 -1 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 0.486679070825 1.498727371550 6 11 1 7 2103 0132 0132 0213 0 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 0 0 0 0 0 0 0 0 0 0 0 -2 2 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 0.708734781939 0.960546856512 3 8 5 1 0132 0321 2103 0132 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 0 0 0 0 0 0 0 0 0 0 2 0 -2 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 0.748552664808 0.694309324297 2 2 11 5 0132 1230 2103 0213 0 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 0 0 0 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 0.704820818737 0.774904941852 12 10 2 6 0132 3120 0132 0321 0 0 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 0 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 0 0 0 0 0 0 0 0 0 0 0.526708578468 1.575500773769 4 3 11 12 3012 0132 1230 2031 0 0 1 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 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908524549153 1.354202418857 4 8 12 3 0132 3120 0321 0132 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 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 0.564949199369 1.342003505050 7 5 12 9 2103 0132 0132 3012 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 2 1 -3 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 0.832477505648 0.738153971521 8 9 10 11 0132 1302 0321 0132 0 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 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 0.612950134654 0.686003440018 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0110_11']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), '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_2_12' : 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_1100_9' : d['c_0110_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : negation(d['c_0110_11']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : 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_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_0']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0011_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_11'], '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_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_11'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_9, c_0110_11, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 267357342465893/1340867605*c_1001_0^8 + 27098292563898/1340867605*c_1001_0^7 + 10856494604961/27364645*c_1001_0^6 - 29206853766064/121897055*c_1001_0^5 - 2106295793567026/1340867605*c_1001_0^4 - 7696046153484/191552515*c_1001_0^3 + 696221179296241/268173521*c_1001_0^2 - 352829888752002/1340867605*c_1001_0 - 2637812014286776/1340867605, c_0011_0 - 1, c_0011_10 - 2/49*c_1001_0^8 + 13/49*c_1001_0^7 - 1/7*c_1001_0^6 - 30/49*c_1001_0^5 - 17/49*c_1001_0^4 + 12/7*c_1001_0^3 - 30/49*c_1001_0^2 - 197/49*c_1001_0 - 87/49, c_0011_11 + 11/49*c_1001_0^8 + 9/49*c_1001_0^7 - 11/7*c_1001_0^6 - 52/49*c_1001_0^5 + 90/49*c_1001_0^4 + c_1001_0^3 - 535/49*c_1001_0^2 - 558/49*c_1001_0 - 57/49, c_0011_12 - 3/49*c_1001_0^8 - 12/49*c_1001_0^7 + 1/7*c_1001_0^6 + 25/49*c_1001_0^5 - 22/49*c_1001_0^4 - 13/7*c_1001_0^3 + 67/49*c_1001_0^2 + 170/49*c_1001_0 + 62/49, c_0011_3 - 3/49*c_1001_0^8 - 12/49*c_1001_0^7 + 1/7*c_1001_0^6 + 25/49*c_1001_0^5 - 22/49*c_1001_0^4 - 13/7*c_1001_0^3 + 18/49*c_1001_0^2 + 170/49*c_1001_0 + 62/49, c_0101_0 + 13/49*c_1001_0^8 + 3/49*c_1001_0^7 - 2/7*c_1001_0^6 + 6/49*c_1001_0^5 + 79/49*c_1001_0^4 + 5/7*c_1001_0^3 - 78/49*c_1001_0^2 - 18/49*c_1001_0 - 40/49, c_0101_1 - 1, c_0101_11 + 34/49*c_1001_0^8 + 10/49*c_1001_0^7 - 13/7*c_1001_0^6 - 36/49*c_1001_0^5 + 247/49*c_1001_0^4 + 2*c_1001_0^3 - 638/49*c_1001_0^2 - 522/49*c_1001_0 - 47/49, c_0101_2 + 10/49*c_1001_0^8 - 23/49*c_1001_0^7 - 3/7*c_1001_0^6 + 24/49*c_1001_0^5 + 64/49*c_1001_0^4 - 3*c_1001_0^3 - 179/49*c_1001_0^2 + 103/49*c_1001_0 + 64/49, c_0101_9 + 44/49*c_1001_0^8 + 22/49*c_1001_0^7 - 11/7*c_1001_0^6 - 19/49*c_1001_0^5 + 318/49*c_1001_0^4 + 29/7*c_1001_0^3 - 495/49*c_1001_0^2 - 419/49*c_1001_0 - 39/49, c_0110_11 - 5/7*c_1001_0^8 - 3/7*c_1001_0^7 + 10/7*c_1001_0^6 + c_1001_0^5 - 37/7*c_1001_0^4 - 26/7*c_1001_0^3 + 66/7*c_1001_0^2 + 78/7*c_1001_0 + 8/7, c_0110_9 - 13/49*c_1001_0^8 - 3/49*c_1001_0^7 + 2/7*c_1001_0^6 - 6/49*c_1001_0^5 - 79/49*c_1001_0^4 - 5/7*c_1001_0^3 + 78/49*c_1001_0^2 + 67/49*c_1001_0 + 40/49, c_1001_0^9 - 2*c_1001_0^7 + c_1001_0^6 + 8*c_1001_0^5 + c_1001_0^4 - 13*c_1001_0^3 + 10*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB