Magma V2.19-8 Wed Aug 21 2013 00:54:35 on localhost [Seed = 3431650969] Type ? for help. Type -D to quit. Loading file "L12n402__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n402 geometric_solution 12.01108668 oriented_manifold CS_known -0.0000000000000009 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 0 0 0 0 0 -1 0 1 -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 -1 -8 0 9 0 -1 1 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 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 -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 0.263709103756 1.477603169235 8 0 10 9 0132 0132 0132 0132 1 0 0 1 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 0 -1 1 0 1 0 -1 0 0 1 0 -1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537291435560 0.627036704686 5 7 11 0 3012 0132 0132 0132 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 -1 0 1 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 -0.483950667634 0.787347979967 8 9 0 11 3012 0132 0132 0132 1 1 0 1 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 0 0 0 0 0 0 0 -1 1 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212017557419 0.919601321453 12 1 8 3 0132 0132 0321 1230 1 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 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 0.510910995081 0.624466935646 9 11 1 10 3201 1023 0132 3201 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 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 12 3 10 1 2031 0132 3201 0132 1 1 1 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 1 0 -1 -8 0 8 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 -0.257778804306 0.818046353309 2 12 5 4 0132 0132 0321 1230 1 0 1 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 -1 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 0 0 0 0.761943337021 1.032542891834 12 4 2 6 3201 0132 0132 2310 1 0 1 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 0 0 0 0 0 0 0 9 -9 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761943337021 1.032542891834 7 6 11 2 2310 2310 2310 0132 1 0 1 1 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 0 1 -1 -1 0 0 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 -0.019592881605 1.016694112152 6 10 4 3 1023 3201 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118799256579 1.209098001613 5 8 7 9 0132 0132 1302 2310 1 0 0 1 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 1 8 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537291435560 0.627036704686 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0110_6']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : negation(d['c_0110_6']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_11'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : negation(d['c_0110_6']), 'c_1010_9' : negation(d['c_0110_6']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_4']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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' : d['c_0101_3'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : negation(d['c_0101_5']), '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' : negation(d['c_0101_0']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0110_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 304309/5248*c_1100_0^5 + 263669/10496*c_1100_0^4 + 2242461/20992*c_1100_0^3 + 1774643/41984*c_1100_0^2 + 6341715/83968*c_1100_0 + 6384299/167936, c_0011_0 - 1, c_0011_10 + 12/41*c_1100_0^5 - 72/41*c_1100_0^4 + 44/41*c_1100_0^3 - 223/82*c_1100_0^2 + 16/41*c_1100_0 - 77/41, c_0011_11 - 16/41*c_1100_0^5 + 14/41*c_1100_0^4 - 4/41*c_1100_0^3 + 12/41*c_1100_0^2 + 65/164*c_1100_0 + 7/41, c_0011_3 + 44/41*c_1100_0^5 + 64/41*c_1100_0^4 + 52/41*c_1100_0^3 + 221/82*c_1100_0^2 + 45/41*c_1100_0 + 73/41, c_0011_4 - 28/41*c_1100_0^5 + 4/41*c_1100_0^4 - 48/41*c_1100_0^3 - 81/82*c_1100_0^2 - 61/82*c_1100_0 - 39/41, c_0101_0 + 1, c_0101_1 - 1, c_0101_10 - 16/41*c_1100_0^5 + 14/41*c_1100_0^4 - 4/41*c_1100_0^3 + 12/41*c_1100_0^2 + 65/164*c_1100_0 + 7/41, c_0101_11 + 44/41*c_1100_0^5 + 64/41*c_1100_0^4 + 52/41*c_1100_0^3 + 221/82*c_1100_0^2 + 45/41*c_1100_0 + 73/41, c_0101_3 + 56/41*c_1100_0^5 - 8/41*c_1100_0^4 + 96/41*c_1100_0^3 - 1/41*c_1100_0^2 + 61/41*c_1100_0 - 4/41, c_0101_5 - 72/41*c_1100_0^5 - 60/41*c_1100_0^4 - 100/41*c_1100_0^3 - 151/41*c_1100_0^2 - 151/82*c_1100_0 - 112/41, c_0110_6 + 16/41*c_1100_0^5 - 14/41*c_1100_0^4 + 4/41*c_1100_0^3 - 12/41*c_1100_0^2 + 99/164*c_1100_0 - 7/41, c_1100_0^6 + 1/2*c_1100_0^5 + 9/4*c_1100_0^4 + 7/8*c_1100_0^3 + 39/16*c_1100_0^2 + 31/32*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.680 seconds, Total memory usage: 32.09MB