Magma V2.19-8 Tue Aug 20 2013 23:47:43 on localhost [Seed = 2783170548] Type ? for help. Type -D to quit. Loading file "L11n131__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n131 geometric_solution 10.93323530 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 -1 0 1 0 0 0 0 0 1 0 -1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522285086108 1.075988921287 0 5 7 6 0132 0132 0132 0132 1 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 1 -1 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524659915887 0.601379042648 7 0 3 5 0132 0132 0213 0132 1 1 1 0 0 0 0 0 0 0 -1 1 -1 1 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 1 0 -6 5 -6 6 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714117565246 0.553246787629 4 2 8 0 0213 0213 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 -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 6 0 -6 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.239893487278 0.708054494767 3 9 0 8 0213 0132 0132 0132 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 1 -1 0 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 -0.020895417181 0.766627394477 10 1 2 6 0132 0132 0132 0321 1 1 0 1 0 0 0 0 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 -1 1 0 0 0 -5 5 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.043892785834 0.769724690878 8 5 1 11 0321 0321 0132 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511407764571 1.316618147290 2 11 10 1 0132 0132 0132 0132 1 1 0 1 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 -1 1 -1 0 1 0 1 -1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750995593759 1.017101328798 6 9 4 3 0321 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.142656677461 1.451289639169 10 4 11 8 2031 0132 2031 0321 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 0 0 0 0 0 0 0 -1 1 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 0.647098199115 0.944130247158 5 11 9 7 0132 1023 1302 0132 1 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 -1 0 1 0 0 1 -1 -5 5 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442107896948 0.340940110784 10 7 6 9 1023 0132 0132 1302 1 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 0 -1 -5 6 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184449430578 1.253244551435 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : negation(d['c_0110_11']), 'c_1010_11' : d['c_0110_11'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0011_4'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(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' : negation(d['c_0110_11']), 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0101_9'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_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_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_8'], '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_4']), '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_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_0']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_8'])})} 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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_5, c_0101_9, c_0110_11, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 267144143872172/92159909*c_1100_0^8 - 576990840661799/92159909*c_1100_0^7 - 1058517879603797/92159909*c_1100_0^6 - 1769193122640834/92159909*c_1100_0^5 - 2772785336824425/92159909*c_1100_0^4 - 3219948306643719/92159909*c_1100_0^3 - 2121629866182274/92159909*c_1100_0^2 - 449193108549344/92159909*c_1100_0 - 85652776925465/92159909, c_0011_0 - 1, c_0011_3 + 98654591/92159909*c_1100_0^8 + 161647591/92159909*c_1100_0^7 + 298825739/92159909*c_1100_0^6 + 485801634/92159909*c_1100_0^5 + 748449745/92159909*c_1100_0^4 + 732629556/92159909*c_1100_0^3 + 261241681/92159909*c_1100_0^2 - 195740224/92159909*c_1100_0 + 2459520/92159909, c_0011_4 + 120535352/92159909*c_1100_0^8 + 159562513/92159909*c_1100_0^7 + 291651471/92159909*c_1100_0^6 + 429933238/92159909*c_1100_0^5 + 656544172/92159909*c_1100_0^4 + 535812790/92159909*c_1100_0^3 - 10935118/92159909*c_1100_0^2 - 348628839/92159909*c_1100_0 - 23530515/92159909, c_0011_8 - 122527496/92159909*c_1100_0^8 - 119839851/92159909*c_1100_0^7 - 235591566/92159909*c_1100_0^6 - 340013362/92159909*c_1100_0^5 - 529864690/92159909*c_1100_0^4 - 343675598/92159909*c_1100_0^3 + 213987261/92159909*c_1100_0^2 + 333720870/92159909*c_1100_0 - 65169963/92159909, c_0101_0 - 1, c_0101_5 - 159318593/92159909*c_1100_0^8 - 230869529/92159909*c_1100_0^7 - 403170534/92159909*c_1100_0^6 - 680586464/92159909*c_1100_0^5 - 965604512/92159909*c_1100_0^4 - 897177111/92159909*c_1100_0^3 - 155973691/92159909*c_1100_0^2 + 403350811/92159909*c_1100_0 - 17546618/92159909, c_0101_9 - 174955613/92159909*c_1100_0^8 - 303543881/92159909*c_1100_0^7 - 541957808/92159909*c_1100_0^6 - 842545076/92159909*c_1100_0^5 - 1329380708/92159909*c_1100_0^4 - 1324291364/92159909*c_1100_0^3 - 468862461/92159909*c_1100_0^2 + 402286827/92159909*c_1100_0 + 97582348/92159909, c_0110_11 + 108053554/92159909*c_1100_0^8 + 211349620/92159909*c_1100_0^7 + 343140556/92159909*c_1100_0^6 + 564369291/92159909*c_1100_0^5 + 873517956/92159909*c_1100_0^4 + 921008936/92159909*c_1100_0^3 + 295982150/92159909*c_1100_0^2 - 217792430/92159909*c_1100_0 - 98569046/92159909, c_1001_0 + 120411529/92159909*c_1100_0^8 + 236451262/92159909*c_1100_0^7 + 393055814/92159909*c_1100_0^6 + 619270845/92159909*c_1100_0^5 + 969554906/92159909*c_1100_0^4 + 1010966645/92159909*c_1100_0^3 + 331560435/92159909*c_1100_0^2 - 329419275/92159909*c_1100_0 - 66269499/92159909, c_1001_1 - 192925705/92159909*c_1100_0^8 - 306013830/92159909*c_1100_0^7 - 528573831/92159909*c_1100_0^6 - 837237194/92159909*c_1100_0^5 - 1323359272/92159909*c_1100_0^4 - 1241088480/92159909*c_1100_0^3 - 316179252/92159909*c_1100_0^2 + 429447165/92159909*c_1100_0 + 43748573/92159909, c_1001_2 + 17970092/92159909*c_1100_0^8 + 2469949/92159909*c_1100_0^7 - 13383977/92159909*c_1100_0^6 - 5307882/92159909*c_1100_0^5 - 6021436/92159909*c_1100_0^4 - 83202884/92159909*c_1100_0^3 - 152683209/92159909*c_1100_0^2 - 119320247/92159909*c_1100_0 + 53833775/92159909, c_1100_0^9 + 12/7*c_1100_0^8 + 3*c_1100_0^7 + 34/7*c_1100_0^6 + 52/7*c_1100_0^5 + 52/7*c_1100_0^4 + 18/7*c_1100_0^3 - 13/7*c_1100_0^2 - 3/7*c_1100_0 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB