Magma V2.19-8 Wed Aug 21 2013 01:02:44 on localhost [Seed = 274074612] Type ? for help. Type -D to quit. Loading file "L14n15596__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15596 geometric_solution 12.06074585 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 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 1.491649862517 0.862079420469 0 5 4 6 0132 0132 0213 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 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 0.388153323121 0.639914501894 7 0 5 8 0132 0132 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 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 0.225417472874 0.910932675349 6 4 4 0 0132 0321 3201 0132 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757231995234 0.564545694902 3 1 0 3 2310 0213 0132 0321 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 -5 0 1 4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757231995234 0.564545694902 9 1 10 2 0132 0132 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 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 0.185714086129 0.559878409482 3 9 1 8 0132 2310 0132 0321 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 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 0.983561325863 0.775357981101 2 11 11 12 0132 0132 0321 0132 0 1 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 0 0 0 0 0 0 0 0 0 -1 1 0 0 -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 0.839576509706 0.824377413455 9 6 2 12 2310 0321 0132 2310 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 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 0.744021620668 1.034432100330 5 11 8 6 0132 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833860469069 0.573337282643 12 11 12 5 3120 2310 2310 0132 1 1 1 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 -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 0.227443356101 1.168776251319 9 7 7 10 1023 0132 0321 3201 0 1 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.839576509706 0.824377413455 8 10 7 10 3201 3201 0132 3120 0 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 -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 0.227443356101 1.168776251319 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0110_11']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0110_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0110_11']), 's_0_10' : d['1'], 's_3_10' : negation(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' : d['c_0101_10'], '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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_12'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_11']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0101_5']), 'c_1100_8' : d['c_0011_12'], '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_0101_10']), 's_1_7' : negation(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' : negation(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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0011_3']})} 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_12, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0110_11, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 3694799168/1262723*c_1001_1^11 - 12081278159/1262723*c_1001_1^10 + 9815060155/1262723*c_1001_1^9 - 11765370810/1262723*c_1001_1^8 + 35925014849/1262723*c_1001_1^7 - 1925264552/54901*c_1001_1^6 + 8249080223/180389*c_1001_1^5 - 51436989970/1262723*c_1001_1^4 + 56408410097/1262723*c_1001_1^3 - 41324535421/1262723*c_1001_1^2 + 19367146929/1262723*c_1001_1 - 5164577295/1262723, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 1460/341*c_1001_1^11 + 5024/341*c_1001_1^10 - 4493/341*c_1001_1^9 + 4744/341*c_1001_1^8 - 14706/341*c_1001_1^7 + 19361/341*c_1001_1^6 - 24092/341*c_1001_1^5 + 22678/341*c_1001_1^4 - 23103/341*c_1001_1^3 + 18350/341*c_1001_1^2 - 8271/341*c_1001_1 + 2639/341, c_0011_3 + c_1001_1, c_0011_4 + 359/341*c_1001_1^11 - 1283/341*c_1001_1^10 + 1290/341*c_1001_1^9 - 1401/341*c_1001_1^8 + 3823/341*c_1001_1^7 - 5186/341*c_1001_1^6 + 6819/341*c_1001_1^5 - 6767/341*c_1001_1^4 + 6527/341*c_1001_1^3 - 5444/341*c_1001_1^2 + 2723/341*c_1001_1 - 985/341, c_0101_0 - 438/341*c_1001_1^11 + 1439/341*c_1001_1^10 - 1041/341*c_1001_1^9 + 1014/341*c_1001_1^8 - 4139/341*c_1001_1^7 + 5024/341*c_1001_1^6 - 5659/341*c_1001_1^5 + 5303/341*c_1001_1^4 - 5601/341*c_1001_1^3 + 3800/341*c_1001_1^2 - 1356/341*c_1001_1 + 212/341, c_0101_10 + 1423/341*c_1001_1^11 - 5020/341*c_1001_1^10 + 4683/341*c_1001_1^9 - 4649/341*c_1001_1^8 + 14558/341*c_1001_1^7 - 19916/341*c_1001_1^6 + 24113/341*c_1001_1^5 - 23109/341*c_1001_1^4 + 23459/341*c_1001_1^3 - 18943/341*c_1001_1^2 + 8376/341*c_1001_1 - 2414/341, c_0101_11 + 1460/341*c_1001_1^11 - 5024/341*c_1001_1^10 + 4493/341*c_1001_1^9 - 4744/341*c_1001_1^8 + 14706/341*c_1001_1^7 - 19361/341*c_1001_1^6 + 24092/341*c_1001_1^5 - 22678/341*c_1001_1^4 + 23103/341*c_1001_1^3 - 18350/341*c_1001_1^2 + 8271/341*c_1001_1 - 2639/341, c_0101_12 + 2550/341*c_1001_1^11 - 8644/341*c_1001_1^10 + 7476/341*c_1001_1^9 - 8197/341*c_1001_1^8 + 25545/341*c_1001_1^7 - 32678/341*c_1001_1^6 + 41233/341*c_1001_1^5 - 38754/341*c_1001_1^4 + 39877/341*c_1001_1^3 - 31377/341*c_1001_1^2 + 13841/341*c_1001_1 - 4392/341, c_0101_5 - 1, c_0110_11 + 455/341*c_1001_1^11 - 1192/341*c_1001_1^10 + 327/341*c_1001_1^9 - 1030/341*c_1001_1^8 + 3866/341*c_1001_1^7 - 2723/341*c_1001_1^6 + 4654/341*c_1001_1^5 - 3529/341*c_1001_1^4 + 4055/341*c_1001_1^3 - 2311/341*c_1001_1^2 + 764/341*c_1001_1 - 555/341, c_1001_0 - 243/341*c_1001_1^11 + 782/341*c_1001_1^10 - 706/341*c_1001_1^9 + 1011/341*c_1001_1^8 - 2336/341*c_1001_1^7 + 2834/341*c_1001_1^6 - 4590/341*c_1001_1^5 + 3888/341*c_1001_1^4 - 4058/341*c_1001_1^3 + 3248/341*c_1001_1^2 - 1808/341*c_1001_1 + 851/341, c_1001_1^12 - 4*c_1001_1^11 + 5*c_1001_1^10 - 5*c_1001_1^9 + 12*c_1001_1^8 - 19*c_1001_1^7 + 24*c_1001_1^6 - 25*c_1001_1^5 + 25*c_1001_1^4 - 22*c_1001_1^3 + 13*c_1001_1^2 - 5*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB