Magma V2.19-8 Wed Aug 21 2013 01:08:57 on localhost [Seed = 1326011950] Type ? for help. Type -D to quit. Loading file "L14n43343__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43343 geometric_solution 12.01108668 oriented_manifold CS_known -0.0000000000000001 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 1 2 2 0 0 0 0 0 0 0 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 0 0 1 -1 1 0 -1 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 0.807059399679 1.294804190075 0 5 4 6 0132 0132 0213 0132 1 2 0 2 0 0 1 -1 0 0 0 0 3 -1 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 -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 0.491788009309 0.490389823735 7 0 5 8 0132 0132 0132 0132 1 1 0 2 0 0 0 0 -1 0 0 1 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 0 0 0 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212017557419 0.919601321453 6 9 10 0 0132 0132 0132 0132 1 2 0 2 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 -1 1 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270155327712 0.542153068099 11 1 0 7 0132 0213 0132 1023 1 2 2 2 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 0 1 -1 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393668629176 0.540153825775 12 1 9 2 0132 0132 1023 0132 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212017557419 0.919601321453 3 8 1 11 0132 1023 0132 0321 1 2 2 0 0 0 1 -1 0 0 0 0 -1 0 0 1 0 -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 0 5 0 0 -5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.350409695603 1.112005210915 2 12 9 4 0132 0132 2103 1023 2 1 2 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 0 0 0 0 0 0 -1 0 0 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 0.761943337021 1.032542891834 6 12 2 10 1023 1302 0132 0321 1 1 2 0 0 0 0 0 0 0 -1 1 0 0 0 0 2 1 -3 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212017557419 0.919601321453 7 3 5 10 2103 0132 1023 3012 1 1 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 0 0 0 0 0 -1 0 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 0.212017557419 0.919601321453 11 8 9 3 3120 0321 1230 0132 1 2 2 1 0 0 0 0 0 0 0 0 -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 4 0 0 -4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215177220856 0.959258815401 4 6 12 10 0132 0321 1023 3120 1 2 2 2 0 1 0 -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 0 0 -1 5 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.566603970721 0.921818114167 5 7 11 8 0132 0132 1023 2031 2 1 0 2 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 0 0 0 0 0 0 0 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' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], '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' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : 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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : negation(d['c_0011_11']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], '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_0110_9'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_11']), '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_3, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_0110_9, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2467/548*c_1001_10^5 - 4755/548*c_1001_10^4 - 8297/1096*c_1001_10^3 + 16329/2192*c_1001_10^2 + 175669/8768*c_1001_10 + 20077/1096, c_0011_0 - 1, c_0011_10 - 12/137*c_1001_10^5 - 68/137*c_1001_10^4 - 188/137*c_1001_10^3 - 196/137*c_1001_10^2 - 169/548*c_1001_10 + 567/548, c_0011_11 + 1, c_0011_3 + 544/137*c_1001_10^5 + 1256/137*c_1001_10^4 + 1764/137*c_1001_10^3 + 1122/137*c_1001_10^2 - 231/137*c_1001_10 - 535/137, c_0101_0 - 128/137*c_1001_10^5 - 360/137*c_1001_10^4 - 544/137*c_1001_10^3 - 538/137*c_1001_10^2 - 268/137*c_1001_10 + 5/137, c_0101_10 + 260/137*c_1001_10^5 + 560/137*c_1001_10^4 + 694/137*c_1001_10^3 + 365/137*c_1001_10^2 - 631/548*c_1001_10 - 503/548, c_0101_11 + 416/137*c_1001_10^5 + 896/137*c_1001_10^4 + 1220/137*c_1001_10^3 + 584/137*c_1001_10^2 - 225/137*c_1001_10 - 256/137, c_0101_12 + 28/137*c_1001_10^5 - 24/137*c_1001_10^4 - 18/137*c_1001_10^3 - 45/137*c_1001_10^2 + 303/548*c_1001_10 + 47/548, c_0101_5 - 1, c_0101_7 - 40/137*c_1001_10^5 - 44/137*c_1001_10^4 - 170/137*c_1001_10^3 - 151/137*c_1001_10^2 - 118/137*c_1001_10 - 7/137, c_0110_9 - 12/137*c_1001_10^5 - 68/137*c_1001_10^4 - 188/137*c_1001_10^3 - 196/137*c_1001_10^2 - 169/548*c_1001_10 + 567/548, c_1001_1 - 28/137*c_1001_10^5 + 24/137*c_1001_10^4 + 18/137*c_1001_10^3 + 45/137*c_1001_10^2 - 303/548*c_1001_10 - 47/548, c_1001_10^6 + 2*c_1001_10^5 + 5/2*c_1001_10^4 + 3/4*c_1001_10^3 - 19/16*c_1001_10^2 - 15/16*c_1001_10 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB