Magma V2.19-8 Wed Aug 21 2013 01:08:09 on localhost [Seed = 391188008] Type ? for help. Type -D to quit. Loading file "L14n38592__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38592 geometric_solution 12.02019403 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 1 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 0 0 0 0 0 0 0 0 -5 -1 6 5 0 -5 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 0.594664744458 0.679503137419 0 5 4 6 0132 0132 1230 0132 0 0 1 0 0 -1 1 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 6 -6 0 -5 0 0 5 1 6 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647478498258 1.085431540835 6 0 6 5 0321 0132 1230 2310 0 1 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 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409035760913 0.770667536918 6 7 8 0 1023 0132 0132 0132 0 0 1 1 0 1 -1 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 -6 5 1 0 0 -5 5 0 1 0 -1 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425971698909 0.641547509683 4 4 0 1 1230 3012 0132 3012 0 0 0 0 0 -1 1 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 -6 0 -6 0 0 6 -6 6 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270663820080 0.833387597141 2 1 9 10 3201 0132 0132 0132 0 1 0 1 0 1 0 -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 -6 0 6 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281709122823 1.081803614328 2 3 1 2 0321 1023 0132 3012 0 0 1 1 0 0 0 0 0 0 1 -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 0 0 0 0 -5 5 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462670831633 1.012386168329 9 3 10 11 0321 0132 3201 0132 0 1 1 1 0 -1 0 1 -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 6 0 -6 -6 0 0 6 -6 0 0 6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555384263781 0.532524120907 12 12 10 3 0132 1302 3012 0132 0 0 1 1 0 -1 0 1 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 5 0 -5 -5 0 0 5 0 -7 0 7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615719857556 0.990893126663 7 12 11 5 0321 1230 0213 0132 0 1 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 -1 0 1 0 6 0 0 -6 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152680327881 0.550469855268 7 8 5 11 2310 1230 0132 0213 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 0 0 0 0 0 -6 6 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 0.340209289445 0.877253361035 12 9 7 10 1023 0213 0132 0213 0 1 1 1 0 0 -1 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 6 -6 7 0 -6 -1 1 -1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.468895653699 0.375723212883 8 11 9 8 0132 1023 3012 2031 1 0 1 1 0 -1 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 0 0 0 0 -7 0 7 5 0 0 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340209289445 0.877253361035 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_9']), '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' : negation(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' : negation(d['c_1001_1']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1010_11'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1010_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_11'], '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_1001_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_11']), '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_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' : d['c_0011_11'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), '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_12'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0011_10']), '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_0011_3'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0011_0']})} 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_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_1001_1, c_1001_11, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1179841327/8265125*c_1010_11^8 - 622714762/8265125*c_1010_11^7 - 6119281257/8265125*c_1010_11^6 + 20494970198/8265125*c_1010_11^5 + 122436806/150275*c_1010_11^4 + 17412796356/8265125*c_1010_11^3 - 1556441368/1653025*c_1010_11^2 - 1885926607/8265125*c_1010_11 - 1833203567/8265125, c_0011_0 - 1, c_0011_10 - 5367/66121*c_1010_11^8 - 471/66121*c_1010_11^7 - 29020/66121*c_1010_11^6 + 105939/66121*c_1010_11^5 - 2605/6011*c_1010_11^4 + 115267/66121*c_1010_11^3 - 110475/66121*c_1010_11^2 + 125535/66121*c_1010_11 - 24095/66121, c_0011_11 + 11101/198363*c_1010_11^8 + 2083/198363*c_1010_11^7 + 24624/66121*c_1010_11^6 - 212876/198363*c_1010_11^5 + 7207/18033*c_1010_11^4 - 475094/198363*c_1010_11^3 + 110381/198363*c_1010_11^2 + 150673/198363*c_1010_11 - 76922/198363, c_0011_3 - 15179/66121*c_1010_11^8 - 2330/66121*c_1010_11^7 - 63681/66121*c_1010_11^6 + 287384/66121*c_1010_11^5 + 3819/6011*c_1010_11^4 - 80324/66121*c_1010_11^3 - 47445/66121*c_1010_11^2 - 1031/66121*c_1010_11 + 48142/66121, c_0011_4 - 58782/330605*c_1010_11^8 + 45698/330605*c_1010_11^7 - 267502/330605*c_1010_11^6 + 1389483/330605*c_1010_11^5 - 18622/6011*c_1010_11^4 + 349961/330605*c_1010_11^3 - 195352/66121*c_1010_11^2 + 627853/330605*c_1010_11 + 237348/330605, c_0011_9 - 3005/18033*c_1010_11^8 + 583/18033*c_1010_11^7 - 4830/6011*c_1010_11^6 + 61681/18033*c_1010_11^5 - 19600/18033*c_1010_11^4 + 27265/18033*c_1010_11^3 - 16210/18033*c_1010_11^2 - 14300/18033*c_1010_11 + 12736/18033, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 5717/66121*c_1010_11^8 - 6188/66121*c_1010_11^7 + 32588/66121*c_1010_11^6 - 148329/66121*c_1010_11^5 + 14910/6011*c_1010_11^4 - 192835/66121*c_1010_11^3 + 226452/66121*c_1010_11^2 - 79132/66121*c_1010_11 + 55037/66121, c_0101_12 - 5717/66121*c_1010_11^8 + 6188/66121*c_1010_11^7 - 32588/66121*c_1010_11^6 + 148329/66121*c_1010_11^5 - 14910/6011*c_1010_11^4 + 192835/66121*c_1010_11^3 - 226452/66121*c_1010_11^2 + 79132/66121*c_1010_11 - 55037/66121, c_1001_1 - 87367/330605*c_1010_11^8 + 76638/330605*c_1010_11^7 - 430442/330605*c_1010_11^6 + 2131128/330605*c_1010_11^5 - 33532/6011*c_1010_11^4 + 1314136/330605*c_1010_11^3 - 421804/66121*c_1010_11^2 + 1023513/330605*c_1010_11 - 37837/330605, c_1001_11 - c_1010_11, c_1010_11^9 + 5*c_1010_11^7 - 20*c_1010_11^6 + 4*c_1010_11^5 - 13*c_1010_11^4 + 13*c_1010_11^3 - 4*c_1010_11^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB