Magma V2.19-8 Tue Aug 20 2013 23:55:40 on localhost [Seed = 3583229336] Type ? for help. Type -D to quit. Loading file "L14n1251__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1251 geometric_solution 11.39388178 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 0 1 1 0 0 0 0 1 0 -1 0 -1 0 0 1 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 8 1 0 -9 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189787541672 0.711770154112 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 -1 2 -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 -1 1 8 -8 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875788742728 0.920259911921 8 0 5 4 0132 0132 1230 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 -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 0.762063633046 0.740574369647 7 9 6 0 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 -2 1 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 1 0 -1 0 0 8 0 -8 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609531569798 0.413413156272 6 2 0 7 0132 0321 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 -1 0 0 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 9 0 0 -9 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.349751066180 1.311689735174 10 1 10 2 0132 0132 3120 3012 1 1 1 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 0 0 0 0 1 -1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583840150446 0.662323209250 4 11 1 3 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 -2 2 -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 0 0 0 0 0 -1 1 9 0 0 -9 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481925887394 0.783999193106 3 9 4 1 0132 0213 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 8 0 -8 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876313509684 0.762137355371 2 11 11 9 0132 3201 1302 2103 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875788742728 0.920259911921 10 3 7 8 3201 0132 0213 2103 1 1 1 1 0 0 0 0 -1 0 1 0 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 8 0 -8 0 -9 9 0 0 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603737430486 0.639214280570 5 11 5 9 0132 2310 3120 2310 1 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 -9 0 9 0 0 -1 1 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583840150446 0.662323209250 8 6 8 10 2031 0132 2310 3201 1 1 1 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 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643083040963 0.785839705900 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : negation(d['1']), 's_0_11' : 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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(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' : negation(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' : negation(d['c_0101_2']), 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_0'], 'c_1100_10' : negation(d['c_0011_3']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : negation(d['c_0101_2']), '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_1001_10']), 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_1001_11']), 's_3_1' : negation(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' : negation(d['1']), 's_3_7' : negation(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' : negation(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_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_0101_11']), 'c_0110_10' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], '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' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : negation(d['c_0011_0'])})} 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_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_0, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 8985137539/1712750*c_1001_11^4 - 21262143047/856375*c_1001_11^3 - 78475488397/856375*c_1001_11^2 + 167126699401/856375*c_1001_11 - 79705426648/856375, c_0011_0 - 1, c_0011_11 + 4/71*c_1001_11^4 + 34/71*c_1001_11^3 + 138/71*c_1001_11^2 + 208/71*c_1001_11 - 233/71, c_0011_3 - 2/71*c_1001_11^4 - 17/71*c_1001_11^3 - 69/71*c_1001_11^2 - 33/71*c_1001_11 + 81/71, c_0101_0 - 1, c_0101_1 - 43/142*c_1001_11^4 - 94/71*c_1001_11^3 - 667/142*c_1001_11^2 + 1953/142*c_1001_11 - 1063/142, c_0101_10 + 2/71*c_1001_11^4 + 17/71*c_1001_11^3 + 69/71*c_1001_11^2 + 104/71*c_1001_11 - 152/71, c_0101_11 - 9/71*c_1001_11^4 - 41/71*c_1001_11^3 - 133/71*c_1001_11^2 + 455/71*c_1001_11 - 239/71, c_0101_2 + 4/71*c_1001_11^4 + 34/71*c_1001_11^3 + 138/71*c_1001_11^2 + 137/71*c_1001_11 - 162/71, c_1001_0 - 76/71*c_1001_11^4 - 362/71*c_1001_11^3 - 1344/71*c_1001_11^2 + 2722/71*c_1001_11 - 1182/71, c_1001_10 + 7/71*c_1001_11^4 + 24/71*c_1001_11^3 + 64/71*c_1001_11^2 - 417/71*c_1001_11 + 178/71, c_1001_11^5 + 4*c_1001_11^4 + 14*c_1001_11^3 - 50*c_1001_11^2 + 45*c_1001_11 - 13, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_0, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2340415/3618*c_1001_11^5 + 2831075/1206*c_1001_11^4 + 1736266/603*c_1001_11^3 + 3098050/1809*c_1001_11^2 + 4567393/3618*c_1001_11 + 2810207/3618, c_0011_0 - 1, c_0011_11 + 315/67*c_1001_11^5 + 848/67*c_1001_11^4 + 504/67*c_1001_11^3 + 88/67*c_1001_11^2 + 143/67*c_1001_11 - 56/67, c_0011_3 - 315/134*c_1001_11^5 - 424/67*c_1001_11^4 - 252/67*c_1001_11^3 - 44/67*c_1001_11^2 - 277/134*c_1001_11 - 11/134, c_0101_0 - 1, c_0101_1 - 525/134*c_1001_11^5 - 1257/134*c_1001_11^4 - 286/67*c_1001_11^3 - 169/134*c_1001_11^2 - 175/67*c_1001_11 + 69/67, c_0101_10 - 315/134*c_1001_11^5 - 424/67*c_1001_11^4 - 252/67*c_1001_11^3 - 44/67*c_1001_11^2 - 143/134*c_1001_11 + 123/134, c_0101_11 - 154/67*c_1001_11^5 - 425/67*c_1001_11^4 - 233/67*c_1001_11^3 - 113/67*c_1001_11^2 - 259/67*c_1001_11 + 11/67, c_0101_2 - 315/67*c_1001_11^5 - 848/67*c_1001_11^4 - 504/67*c_1001_11^3 - 88/67*c_1001_11^2 - 210/67*c_1001_11 - 11/67, c_1001_0 - 231/134*c_1001_11^5 - 436/67*c_1001_11^4 - 493/67*c_1001_11^3 - 269/67*c_1001_11^2 - 355/134*c_1001_11 - 17/134, c_1001_10 - 196/67*c_1001_11^5 - 413/67*c_1001_11^4 + 8/67*c_1001_11^3 + 112/67*c_1001_11^2 - 153/67*c_1001_11 + 14/67, c_1001_11^6 + 26/7*c_1001_11^5 + 30/7*c_1001_11^4 + 2*c_1001_11^3 + 11/7*c_1001_11^2 + c_1001_11 - 2/7, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB