Magma V2.19-8 Wed Aug 21 2013 00:51:39 on localhost [Seed = 71438719] Type ? for help. Type -D to quit. Loading file "L11n191__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n191 geometric_solution 11.81187803 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 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 1 0 -1 -8 0 0 8 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804558816252 0.834195177659 0 3 6 5 0132 3120 0132 0132 1 1 0 1 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 0 0 0 0 0 0 0 0 8 0 -8 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562570824113 0.392569601037 7 0 6 8 0132 0132 2103 0132 1 1 0 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 -1 0 1 0 0 0 0 0 1 0 -1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249029135044 0.567090670288 5 1 9 0 0132 3120 0132 0132 1 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 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562570824113 0.392569601037 8 10 0 11 3120 0132 0132 0132 1 1 1 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 0 1 -1 0 0 -8 8 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350822807342 1.478310275843 3 12 1 10 0132 0132 0132 0132 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 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 0.804558816252 0.834195177659 2 11 9 1 2103 0321 0321 0132 1 1 1 1 0 0 0 0 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 0 0 0 0 0 -8 8 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479543940725 0.587296064543 2 8 12 10 0132 2103 0132 3120 1 1 1 0 0 0 0 0 0 0 -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 -9 9 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.350822807342 1.478310275843 12 7 2 4 0132 2103 0132 3120 1 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 9 -1 -8 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 1.350822807342 1.478310275843 12 11 6 3 2103 2103 0321 0132 1 1 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 0 0 9 0 -9 0 0 1 0 -1 1 -9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479543940725 0.587296064543 7 4 5 11 3120 0132 0132 2310 1 1 1 1 0 0 0 0 -1 0 0 1 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 -9 0 0 9 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350822807342 1.478310275843 10 9 4 6 3201 2103 0132 0321 1 1 1 1 0 0 0 0 1 0 -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 -1 1 0 8 0 -8 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345905091735 0.996614148260 8 5 9 7 0132 0132 2103 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -9 9 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249029135044 0.567090670288 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_0'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_0011_6'], 's_3_11' : 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' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_6'], 'c_1100_8' : negation(d['c_0101_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0101_1']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_6'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_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'], 'c_1100_12' : negation(d['c_0101_10']), '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_7'], '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_0101_10'], 'c_0110_8' : d['c_0101_11'], '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_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_11']), '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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 12937/1280*c_1001_6^5 + 56053/320*c_1001_6^4 - 4653/32*c_1001_6^3 - 24443/1280*c_1001_6^2 - 237333/1280*c_1001_6 - 57517/1280, c_0011_0 - 1, c_0011_10 + 2/5*c_1001_6^5 + 69/10*c_1001_6^4 - 63/10*c_1001_6^3 + 1/10*c_1001_6^2 - 31/5*c_1001_6 - 3/10, c_0011_11 + c_1001_6, c_0011_12 + 1, c_0011_6 + 3/20*c_1001_6^5 + 5/2*c_1001_6^4 - 39/10*c_1001_6^3 + 17/20*c_1001_6^2 - 51/20*c_1001_6 + 7/20, c_0011_9 - 3/20*c_1001_6^5 - 5/2*c_1001_6^4 + 39/10*c_1001_6^3 - 17/20*c_1001_6^2 + 51/20*c_1001_6 - 7/20, c_0101_0 - 11/20*c_1001_6^5 - 47/5*c_1001_6^4 + 51/5*c_1001_6^3 - 19/20*c_1001_6^2 + 35/4*c_1001_6 - 1/20, c_0101_1 - 1, c_0101_10 + 1, c_0101_11 + 3/40*c_1001_6^5 + 13/10*c_1001_6^4 - c_1001_6^3 + 47/40*c_1001_6^2 - 63/40*c_1001_6 + 5/8, c_0101_7 + 5/16*c_1001_6^5 + 53/10*c_1001_6^4 - 131/20*c_1001_6^3 + 5/16*c_1001_6^2 - 389/80*c_1001_6 + 31/80, c_1001_1 + 13/80*c_1001_6^5 + 14/5*c_1001_6^4 - 53/20*c_1001_6^3 - 43/80*c_1001_6^2 - 37/16*c_1001_6 + 3/80, c_1001_6^6 + 17*c_1001_6^5 - 20*c_1001_6^4 + 5*c_1001_6^3 - 20*c_1001_6^2 + 2*c_1001_6 - 1 ], 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 730/203*c_1001_6^5 + 3526/203*c_1001_6^4 + 1235/29*c_1001_6^3 + 13103/203*c_1001_6^2 + 1317/29*c_1001_6 + 362/29, c_0011_0 - 1, c_0011_10 - 2/29*c_1001_6^5 - 1/29*c_1001_6^4 - 7/29*c_1001_6^3 - 27/29*c_1001_6^2 - 22/29*c_1001_6 - 16/29, c_0011_11 + 1/29*c_1001_6^5 + 15/29*c_1001_6^4 + 47/29*c_1001_6^3 + 86/29*c_1001_6^2 + 69/29*c_1001_6 + 37/29, c_0011_12 - 10/29*c_1001_6^5 - 34/29*c_1001_6^4 - 64/29*c_1001_6^3 - 77/29*c_1001_6^2 - 23/29*c_1001_6 - 51/29, c_0011_6 + 3/29*c_1001_6^5 + 16/29*c_1001_6^4 + 54/29*c_1001_6^3 + 84/29*c_1001_6^2 + 62/29*c_1001_6 + 24/29, c_0011_9 - 5/29*c_1001_6^5 - 17/29*c_1001_6^4 - 32/29*c_1001_6^3 - 53/29*c_1001_6^2 - 55/29*c_1001_6 - 40/29, c_0101_0 - 8/29*c_1001_6^5 - 33/29*c_1001_6^4 - 86/29*c_1001_6^3 - 137/29*c_1001_6^2 - 117/29*c_1001_6 - 93/29, c_0101_1 - 1, c_0101_10 + 5/29*c_1001_6^5 + 17/29*c_1001_6^4 + 32/29*c_1001_6^3 + 24/29*c_1001_6^2 - 3/29*c_1001_6 - 18/29, c_0101_11 + 5/29*c_1001_6^5 + 17/29*c_1001_6^4 + 32/29*c_1001_6^3 + 24/29*c_1001_6^2 - 3/29*c_1001_6 + 11/29, c_0101_7 - 23/29*c_1001_6^5 - 84/29*c_1001_6^4 - 182/29*c_1001_6^3 - 238/29*c_1001_6^2 - 108/29*c_1001_6 - 97/29, c_1001_1 + 18/29*c_1001_6^5 + 67/29*c_1001_6^4 + 150/29*c_1001_6^3 + 185/29*c_1001_6^2 + 111/29*c_1001_6 + 86/29, c_1001_6^6 + 5*c_1001_6^5 + 13*c_1001_6^4 + 22*c_1001_6^3 + 21*c_1001_6^2 + 14*c_1001_6 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.450 seconds, Total memory usage: 32.09MB