Magma V2.19-8 Wed Aug 21 2013 01:09:51 on localhost [Seed = 3835886967] Type ? for help. Type -D to quit. Loading file "L14n49261__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n49261 geometric_solution 12.28706279 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 2 1 1 0 0 1 -1 -1 0 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 1 0 -1 1 0 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472860908827 0.652932035192 0 5 7 6 0132 0132 0132 0132 0 2 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 2 -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 0.472860908827 0.652932035192 8 0 6 9 0132 0132 0213 0132 0 1 1 1 0 0 -1 1 0 0 0 0 1 0 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 -1 0 1 0 -2 0 0 2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428640518310 1.088974735840 10 7 11 0 0132 0132 0132 0132 0 2 1 1 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 0 0 0 0 0 0 0 -2 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 0.785828881079 0.857827045459 10 5 0 9 3120 0213 0132 0213 0 2 1 1 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 0 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633833809046 0.580635590344 8 1 4 11 1023 0132 0213 0321 0 1 1 1 0 0 0 0 -1 0 0 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 0 0 0 3 0 0 -3 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428640518310 1.088974735840 12 2 1 11 0132 0213 0132 0132 0 2 1 1 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 0 0 0 0 0 1 -1 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633833809046 0.580635590344 12 3 9 1 2103 0132 0213 0132 0 2 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 2 0 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 0.785828881079 0.857827045459 2 5 12 10 0132 1023 3012 3201 1 1 1 1 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 -3 0 3 1 0 -1 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 -0.471156433603 1.019862724704 11 7 2 4 0213 0213 0132 0213 0 1 2 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 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 0.347067964808 0.472860908827 3 8 12 4 0132 2310 0132 3120 1 2 1 1 0 0 0 0 -1 0 1 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 2 0 -2 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208615564148 0.783695599719 9 5 6 3 0213 0321 0132 0132 0 2 1 1 0 0 1 -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 0 0 0 0 0 1 -1 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.004638054327 0.727570463397 6 8 7 10 0132 1230 2103 0132 1 2 1 1 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 1 0 -1 0 0 -2 2 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637972410704 0.631774076367 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_1'], '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'], 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1010_9'], 'c_1100_7' : d['c_1010_9'], 'c_1100_6' : d['c_1010_9'], 'c_1100_1' : d['c_1010_9'], 'c_1100_0' : d['c_1010_9'], 'c_1100_3' : d['c_1010_9'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_9'], 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(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_1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_9'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['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_9, c_0101_0, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_11, c_1001_2, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2308759/253216*c_1010_9^5 + 69572671/633040*c_1010_9^4 - 494683789/1266080*c_1010_9^3 + 64613/965*c_1010_9^2 + 12148699/633040*c_1010_9 - 1473409/316520, c_0011_0 - 1, c_0011_10 + 2655/7913*c_1010_9^5 - 126287/31652*c_1010_9^4 + 108391/7913*c_1010_9^3 + 195/772*c_1010_9^2 - 43225/15826*c_1010_9 - 2977/15826, c_0011_11 - 2655/7913*c_1010_9^5 + 126287/31652*c_1010_9^4 - 108391/7913*c_1010_9^3 - 195/772*c_1010_9^2 + 43225/15826*c_1010_9 - 12849/15826, c_0011_12 + 36065/31652*c_1010_9^5 - 431789/31652*c_1010_9^4 + 1517575/31652*c_1010_9^3 - 5453/772*c_1010_9^2 + 41554/7913*c_1010_9 + 37521/15826, c_0011_9 + 7985/15826*c_1010_9^5 - 197767/31652*c_1010_9^4 + 374153/15826*c_1010_9^3 - 8473/772*c_1010_9^2 + 5181/15826*c_1010_9 + 9643/15826, c_0101_0 - 1, c_0101_1 + 30715/31652*c_1010_9^5 - 360309/31652*c_1010_9^4 + 1202833/31652*c_1010_9^3 + 3215/772*c_1010_9^2 + 17351/7913*c_1010_9 + 24901/15826, c_0101_3 + 16765/15826*c_1010_9^5 - 395553/31652*c_1010_9^4 + 669533/15826*c_1010_9^3 + 1253/772*c_1010_9^2 + 60645/15826*c_1010_9 + 19265/15826, c_1001_0 - 1, c_1001_1 + 30435/31652*c_1010_9^5 - 361301/31652*c_1010_9^4 + 1245109/31652*c_1010_9^3 - 1529/772*c_1010_9^2 + 23524/7913*c_1010_9 + 17141/15826, c_1001_11 + 2815/15826*c_1010_9^5 - 17622/7913*c_1010_9^4 + 136233/15826*c_1010_9^3 - 981/193*c_1010_9^2 + 18030/7913*c_1010_9 + 2277/7913, c_1001_2 - 30715/31652*c_1010_9^5 + 360309/31652*c_1010_9^4 - 1202833/31652*c_1010_9^3 - 3215/772*c_1010_9^2 - 25264/7913*c_1010_9 - 24901/15826, c_1010_9^6 - 58/5*c_1010_9^5 + 188/5*c_1010_9^4 + 48/5*c_1010_9^3 + 13/5*c_1010_9^2 + 2*c_1010_9 + 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB