Magma V2.19-8 Wed Aug 21 2013 00:58:10 on localhost [Seed = 2749741367] Type ? for help. Type -D to quit. Loading file "L13n473__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n473 geometric_solution 12.01108668 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 2 -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 -1 0 1 0 0 1 -1 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212017557419 0.919601321453 0 5 7 6 0132 0132 0132 0132 1 1 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 -1 1 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 0 0 0 0.118799256579 1.209098001613 8 0 9 3 0132 0132 0132 3120 0 1 1 1 0 -2 0 2 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 1 0 -1 0 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212017557419 0.919601321453 2 10 11 0 3120 0132 0132 0132 0 1 1 0 0 -1 0 1 0 0 0 0 1 0 0 -1 -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 1 -1 -8 -1 0 9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476371845403 0.397295517684 12 11 0 10 0132 2103 0132 2103 0 1 0 1 0 1 1 -2 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 -1 1 -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 0.771417185708 1.524150322260 8 1 9 12 1023 0132 1023 0321 1 0 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 1 0 -1 0 0 0 0 0 0 0 0 8 -9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331418923096 0.781744402400 8 7 1 10 2103 0132 0132 3120 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 -0.019592881605 1.016694112152 9 6 10 1 1230 0132 3120 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 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 0.112584262388 0.755541210267 2 5 6 11 0132 1023 2103 0132 0 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 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631259280789 0.886686155397 12 7 5 2 3012 3012 1023 0132 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 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 0.270155327712 0.542153068099 6 3 7 4 3120 0132 3120 2103 0 1 0 1 0 1 0 -1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.212017557419 0.919601321453 12 4 8 3 2031 2103 0132 0132 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 0 0 1 0 0 -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 0.781695501245 0.695059069905 4 5 11 9 0132 0321 1302 1230 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 1 0 -1 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 -0.117055587522 0.655880683057 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : negation(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' : negation(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' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_3']), 'c_1100_8' : negation(d['c_0110_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0110_10']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0110_10']), 'c_1100_3' : negation(d['c_0110_10']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_12']), '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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_11'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0110_10'], '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_0110_10'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0011_9'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], '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_0101_0'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10']})} 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_10, c_0101_11, c_0101_3, c_0101_9, c_0110_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 17/196*c_0101_3*c_1001_3 + 2/49*c_0101_3 - 23/196*c_1001_3 - 5/98, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_0101_3, c_0011_12 - c_0101_3 + c_1001_3, c_0011_6 - c_0101_3*c_1001_3 - c_1001_3, c_0011_9 - c_0101_3 - c_1001_3 - 2, c_0101_0 + c_0101_3*c_1001_3 + c_0101_3 + 1, c_0101_10 + c_0101_3*c_1001_3 + c_0101_3 - 1, c_0101_11 - 2*c_1001_3 - 2, c_0101_3^2 - 2, c_0101_9 + c_1001_3, c_0110_10 - c_1001_3, c_1001_3^2 + c_1001_3 + 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_10, c_0101_11, c_0101_3, c_0101_9, c_0110_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 14341/209920*c_1001_3^5 + 9033/104960*c_1001_3^4 + 71823/209920*c_1001_3^3 - 8703/20992*c_1001_3^2 - 104291/209920*c_1001_3 - 5501/3280, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 5/82*c_1001_3^5 + 3/164*c_1001_3^4 + 23/41*c_1001_3^3 + 11/82*c_1001_3^2 + 309/164*c_1001_3 + 47/41, c_0011_12 - 9/82*c_1001_3^5 + 11/164*c_1001_3^4 - 25/41*c_1001_3^3 + 13/82*c_1001_3^2 - 343/164*c_1001_3 - 19/41, c_0011_6 + 11/164*c_1001_3^5 + 8/41*c_1001_3^4 + 13/41*c_1001_3^3 + 221/164*c_1001_3^2 + 45/41*c_1001_3 + 187/41, c_0011_9 + 73/1312*c_1001_3^5 - 15/1312*c_1001_3^4 + 401/1312*c_1001_3^3 + 95/1312*c_1001_3^2 + 1079/1312*c_1001_3 + 823/1312, c_0101_0 + 7/1312*c_1001_3^5 + 39/1312*c_1001_3^4 + 7/1312*c_1001_3^3 + 81/1312*c_1001_3^2 + 81/1312*c_1001_3 - 303/1312, c_0101_10 - 7/1312*c_1001_3^5 - 39/1312*c_1001_3^4 - 7/1312*c_1001_3^3 - 81/1312*c_1001_3^2 - 81/1312*c_1001_3 + 303/1312, c_0101_11 + 1/32*c_1001_3^5 + 1/32*c_1001_3^4 + 9/32*c_1001_3^3 + 7/32*c_1001_3^2 + 39/32*c_1001_3 + 31/32, c_0101_3 - 5/82*c_1001_3^5 - 3/164*c_1001_3^4 - 23/41*c_1001_3^3 - 11/82*c_1001_3^2 - 309/164*c_1001_3 - 47/41, c_0101_9 - 1/328*c_1001_3^5 - 29/328*c_1001_3^4 - 1/328*c_1001_3^3 - 199/328*c_1001_3^2 - 35/328*c_1001_3 - 519/328, c_0110_10 - 7/82*c_1001_3^5 + 1/41*c_1001_3^4 - 24/41*c_1001_3^3 + 1/82*c_1001_3^2 - 61/41*c_1001_3 - 33/41, c_1001_3^6 + c_1001_3^5 + 9*c_1001_3^4 + 7*c_1001_3^3 + 39*c_1001_3^2 + 31*c_1001_3 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.370 seconds, Total memory usage: 32.09MB