Magma V2.19-8 Wed Aug 21 2013 01:04:25 on localhost [Seed = 2513669590] Type ? for help. Type -D to quit. Loading file "L14n24167__sl2_c1.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' : negation(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' : 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' : 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' : negation(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: 10 Groebner basis: [ t + 175675749815/27383062528*c_1001_0^9 - 216078970945/13691531264*c_1001_0^8 - 7358161501/3422882816*c_1001_0^7 + 1058906995571/27383062528*c_1001_0^6 - 28768267001/6845765632*c_1001_0^5 - 2034632264529/27383062528*c_1001_0^4 + 31327663217/27383062528*c_1001_0^3 - 50711823605/3422882816*c_1001_0^2 + 1593396931569/13691531264*c_1001_0 - 2141459894243/27383062528, c_0011_0 - 1, c_0011_10 + 279/83*c_1001_0^9 - 192/83*c_1001_0^8 - 367/83*c_1001_0^7 + 968/83*c_1001_0^6 + 1418/83*c_1001_0^5 - 440/83*c_1001_0^4 - 381/83*c_1001_0^3 - 1664/83*c_1001_0^2 + 1915/83*c_1001_0 - 350/83, c_0011_11 + c_1001_0^9 - c_1001_0^8 - c_1001_0^7 + 4*c_1001_0^6 + 4*c_1001_0^5 - 3*c_1001_0^4 - 5*c_1001_0^2 + 10*c_1001_0 - 4, c_0011_12 - 197/83*c_1001_0^9 + 215/83*c_1001_0^8 + 216/83*c_1001_0^7 - 790/83*c_1001_0^6 - 757/83*c_1001_0^5 + 759/83*c_1001_0^4 + 236/83*c_1001_0^3 + 1061/83*c_1001_0^2 - 1882/83*c_1001_0 + 749/83, c_0011_3 - 197/83*c_1001_0^9 + 215/83*c_1001_0^8 + 216/83*c_1001_0^7 - 790/83*c_1001_0^6 - 757/83*c_1001_0^5 + 759/83*c_1001_0^4 + 236/83*c_1001_0^3 + 978/83*c_1001_0^2 - 1882/83*c_1001_0 + 749/83, c_0101_0 + 333/166*c_1001_0^9 - 136/83*c_1001_0^8 - 215/83*c_1001_0^7 + 1233/166*c_1001_0^6 + 790/83*c_1001_0^5 - 817/166*c_1001_0^4 - 519/166*c_1001_0^3 - 902/83*c_1001_0^2 + 1353/83*c_1001_0 - 565/166, c_0101_1 - 1, c_0101_11 + 269/83*c_1001_0^9 - 294/83*c_1001_0^8 - 300/83*c_1001_0^7 + 1088/83*c_1001_0^6 + 1056/83*c_1001_0^5 - 1068/83*c_1001_0^4 - 337/83*c_1001_0^3 - 1386/83*c_1001_0^2 + 2660/83*c_1001_0 - 1008/83, c_0101_2 + 169/83*c_1001_0^9 - 152/83*c_1001_0^8 - 211/83*c_1001_0^7 + 628/83*c_1001_0^6 + 756/83*c_1001_0^5 - 459/83*c_1001_0^4 - 312/83*c_1001_0^3 - 1013/83*c_1001_0^2 + 1395/83*c_1001_0 - 367/83, c_0101_9 + 55/83*c_1001_0^9 - 20/83*c_1001_0^8 - 78/83*c_1001_0^7 + 170/83*c_1001_0^6 + 331/83*c_1001_0^5 + 51/83*c_1001_0^4 - 76/83*c_1001_0^3 - 367/83*c_1001_0^2 + 343/83*c_1001_0 + 50/83, c_0110_11 + 276/83*c_1001_0^9 - 455/83*c_1001_0^8 - 239/83*c_1001_0^7 + 1336/83*c_1001_0^6 + 579/83*c_1001_0^5 - 1973/83*c_1001_0^4 - 318/83*c_1001_0^3 - 1232/83*c_1001_0^2 + 3674/83*c_1001_0 - 1892/83, c_0110_9 - 333/166*c_1001_0^9 + 136/83*c_1001_0^8 + 215/83*c_1001_0^7 - 1233/166*c_1001_0^6 - 790/83*c_1001_0^5 + 817/166*c_1001_0^4 + 519/166*c_1001_0^3 + 902/83*c_1001_0^2 - 1270/83*c_1001_0 + 565/166, c_1001_0^10 - 2*c_1001_0^9 + 5*c_1001_0^7 - 7*c_1001_0^5 + 3*c_1001_0^4 - 4*c_1001_0^3 + 14*c_1001_0^2 - 13*c_1001_0 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB