Magma V2.19-8 Tue Aug 20 2013 23:55:45 on localhost [Seed = 1325999992] Type ? for help. Type -D to quit. Loading file "L14n13065__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13065 geometric_solution 10.99079102 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 0 1 1 1 0 -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 -2 1 1 0 0 1 -1 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586631010407 1.130113813146 0 4 6 5 0132 0132 0132 0132 0 1 1 1 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822961337925 1.142667926825 0 0 8 7 2031 0132 0132 0132 0 0 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 2 -2 0 -1 0 1 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 0.638170924195 0.697044699837 9 4 0 10 0132 1302 0132 0132 0 1 0 1 0 0 -1 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 0 -1 1 -1 0 1 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 0.346410911790 0.727072230104 8 1 9 3 1023 0132 0321 2031 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 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 0.848930216530 0.531819840455 8 7 1 10 0213 1302 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.088584291106 0.454100259376 7 9 11 1 1230 3120 0132 0132 0 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895795099245 0.793916158625 9 6 2 5 3012 3012 0132 2031 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 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 0.265110826278 0.925091071436 5 4 11 2 0213 1023 3201 0132 0 0 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 -2 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 0.911415708894 0.454100259376 3 6 4 7 0132 3120 0321 1230 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 0 0 0 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 -0.049512595792 0.667564488355 11 11 3 5 2103 0132 0132 2103 0 1 0 0 0 1 -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 0 0 1 -1 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510389507694 0.420277203422 8 10 10 6 2310 0132 2103 0132 0 1 0 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 -1 1 0 0 0 0 0 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590663239347 1.173679884634 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : d['1'], 's_2_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0110_4'], 'c_1100_8' : 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'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_5']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0011_7'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0101_10']), 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0110_7'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_7']})} 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_6, c_0011_7, c_0101_10, c_0101_2, c_0110_10, c_0110_4, c_0110_7, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 957790164017/11093701511360*c_1001_10^11 + 3693864255177/13867126889200*c_1001_10^10 + 10402483525553/27734253778400*c_1001_10^9 + 11842409693779/13867126889200*c_1001_10^8 + 95625121620009/55468507556800*c_1001_10^7 + 77852545540227/27734253778400*c_1001_10^6 + 12675005117769/2218740302272*c_1001_10^5 + 6113539781527/1205837120800*c_1001_10^4 - 150586765984427/55468507556800*c_1001_10^3 - 1378689418149/426680827360*c_1001_10^2 + 134908355408647/55468507556800*c_1001_10 + 34014978931259/27734253778400, c_0011_0 - 1, c_0011_10 + 1015657/463783508*c_1001_10^11 + 3088528/115945877*c_1001_10^10 + 27597985/231891754*c_1001_10^9 + 18573857/115945877*c_1001_10^8 + 174270389/463783508*c_1001_10^7 + 195719267/231891754*c_1001_10^6 + 608843565/463783508*c_1001_10^5 + 613262997/231891754*c_1001_10^4 + 1454962649/463783508*c_1001_10^3 + 34850427/231891754*c_1001_10^2 + 221093171/463783508*c_1001_10 + 402372021/231891754, c_0011_3 - 6288333/231891754*c_1001_10^11 - 9179037/115945877*c_1001_10^10 - 6085756/115945877*c_1001_10^9 - 22698813/115945877*c_1001_10^8 - 93997549/231891754*c_1001_10^7 - 51066242/115945877*c_1001_10^6 - 298442351/231891754*c_1001_10^5 - 58052092/115945877*c_1001_10^4 + 675152511/231891754*c_1001_10^3 + 46977201/115945877*c_1001_10^2 - 368157281/231891754*c_1001_10 + 126407182/115945877, c_0011_5 - 19102921/231891754*c_1001_10^11 - 28182606/115945877*c_1001_10^10 - 36921077/115945877*c_1001_10^9 - 96304370/115945877*c_1001_10^8 - 385405911/231891754*c_1001_10^7 - 303745099/115945877*c_1001_10^6 - 1293306471/231891754*c_1001_10^5 - 566806172/115945877*c_1001_10^4 + 423694329/231891754*c_1001_10^3 - 121411062/115945877*c_1001_10^2 - 934150471/231891754*c_1001_10 + 126597003/115945877, c_0011_6 + 1, c_0011_7 + 1015657/463783508*c_1001_10^11 + 3088528/115945877*c_1001_10^10 + 27597985/231891754*c_1001_10^9 + 18573857/115945877*c_1001_10^8 + 174270389/463783508*c_1001_10^7 + 195719267/231891754*c_1001_10^6 + 608843565/463783508*c_1001_10^5 + 613262997/231891754*c_1001_10^4 + 1454962649/463783508*c_1001_10^3 + 34850427/231891754*c_1001_10^2 + 221093171/463783508*c_1001_10 + 402372021/231891754, c_0101_10 + 17264143/463783508*c_1001_10^11 + 3159855/115945877*c_1001_10^10 + 6423107/231891754*c_1001_10^9 + 22076835/115945877*c_1001_10^8 + 39103303/463783508*c_1001_10^7 + 81766079/231891754*c_1001_10^6 + 337908543/463783508*c_1001_10^5 - 335333447/231891754*c_1001_10^4 - 769198045/463783508*c_1001_10^3 + 130376429/231891754*c_1001_10^2 - 504042251/463783508*c_1001_10 - 14592595/231891754, c_0101_2 - 30805005/463783508*c_1001_10^11 - 17936304/115945877*c_1001_10^10 - 50426173/231891754*c_1001_10^9 - 67166080/115945877*c_1001_10^8 - 503194569/463783508*c_1001_10^7 - 424261413/231891754*c_1001_10^6 - 1751621385/463783508*c_1001_10^5 - 650269281/231891754*c_1001_10^4 + 637842099/463783508*c_1001_10^3 - 193496947/231891754*c_1001_10^2 - 1527173963/463783508*c_1001_10 + 195339005/231891754, c_0110_10 - 5897094/115945877*c_1001_10^11 - 12304388/115945877*c_1001_10^10 - 18493369/115945877*c_1001_10^9 - 59518704/115945877*c_1001_10^8 - 90749075/115945877*c_1001_10^7 - 172896986/115945877*c_1001_10^6 - 368739477/115945877*c_1001_10^5 - 223046087/115945877*c_1001_10^4 - 79309703/115945877*c_1001_10^3 - 305891524/115945877*c_1001_10^2 - 45306653/115945877*c_1001_10 - 1806182/115945877, c_0110_4 - 7447337/115945877*c_1001_10^11 - 14847776/115945877*c_1001_10^10 - 11414094/115945877*c_1001_10^9 - 48592223/115945877*c_1001_10^8 - 82231045/115945877*c_1001_10^7 - 114271073/115945877*c_1001_10^6 - 285694455/115945877*c_1001_10^5 - 18503142/115945877*c_1001_10^4 + 523201187/115945877*c_1001_10^3 - 79323260/115945877*c_1001_10^2 - 326520198/115945877*c_1001_10 + 298855513/115945877, c_0110_7 - 17264143/463783508*c_1001_10^11 - 3159855/115945877*c_1001_10^10 - 6423107/231891754*c_1001_10^9 - 22076835/115945877*c_1001_10^8 - 39103303/463783508*c_1001_10^7 - 81766079/231891754*c_1001_10^6 - 337908543/463783508*c_1001_10^5 + 335333447/231891754*c_1001_10^4 + 769198045/463783508*c_1001_10^3 - 130376429/231891754*c_1001_10^2 + 504042251/463783508*c_1001_10 + 14592595/231891754, c_1001_10^12 + 2*c_1001_10^11 + 2*c_1001_10^10 + 8*c_1001_10^9 + 13*c_1001_10^8 + 20*c_1001_10^7 + 49*c_1001_10^6 + 16*c_1001_10^5 - 35*c_1001_10^4 + 44*c_1001_10^3 + 31*c_1001_10^2 - 40*c_1001_10 + 20 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB