Magma V2.19-8 Wed Aug 21 2013 00:59:55 on localhost [Seed = 3920622272] Type ? for help. Type -D to quit. Loading file "L13n7908__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7908 geometric_solution 12.02534786 oriented_manifold CS_known 0.0000000000000002 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 0 2 0 0 0 0 0 0 0 0 -2 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 -1 1 0 0 1 -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 1.525354778828 1.212645147498 0 4 6 5 0132 1023 0132 0132 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483306937816 0.744744175109 6 0 7 3 0132 0132 0132 0132 1 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279895179658 0.715088904891 5 8 2 0 0132 0132 0132 0132 1 2 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 0 0 0 0 0 0 0 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 0.196592978783 0.638702313237 1 7 0 9 1023 0132 0132 0132 1 2 2 0 0 0 0 0 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 0 -1 1 -1 0 1 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331418362799 0.369477674123 3 10 1 11 0132 0132 0132 0132 2 2 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 0 0 0 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 1.410046343863 1.113388408558 2 7 12 1 0132 1023 0132 0132 2 2 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 -1 1 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 0.139413074015 0.916162517759 6 4 9 2 1023 0132 0132 0132 1 2 0 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654695231348 1.499796428630 11 3 12 12 3120 0132 3120 3201 1 2 2 2 0 0 1 -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 1 2 -3 -3 0 0 3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497722068395 0.955203723175 11 12 4 7 0213 3012 0132 0132 1 2 2 2 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 2 0 0 -2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511059356287 1.120080605662 10 5 10 11 2031 0132 1302 2031 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489444407139 0.511793264016 9 10 5 8 0213 1302 0132 3120 2 2 2 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 0 0 0 0 0 0 -2 0 -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 0 0.408014722649 0.674056366924 9 8 8 6 1230 2310 3120 0132 2 2 2 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 -1 1 0 0 0 0 3 -3 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431251916785 0.820130470841 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : negation(d['c_1001_0']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_12'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : 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' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_1001_0'], '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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_8']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_9'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_9'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_8'], '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_7'], 'c_0110_8' : negation(d['c_0101_7']), '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_0011_9'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], '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_12, c_0011_9, c_0101_0, c_0101_1, c_0101_7, c_0101_8, c_0110_10, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2918821/394240*c_1100_0^8 + 2577041/28160*c_1100_0^7 + 83128119/394240*c_1100_0^6 + 39402967/197120*c_1100_0^5 - 32143141/49280*c_1100_0^4 - 6119193/3520*c_1100_0^3 + 6235717/24640*c_1100_0^2 + 36725973/12320*c_1100_0 + 10628843/6160, c_0011_0 - 1, c_0011_10 + 8325/17984*c_1100_0^8 + 82065/17984*c_1100_0^7 + 1565/4496*c_1100_0^6 - 36311/8992*c_1100_0^5 - 228753/4496*c_1100_0^4 + 7109/1124*c_1100_0^3 + 78905/562*c_1100_0^2 - 6965/562*c_1100_0 - 28937/281, c_0011_11 - 3093/35968*c_1100_0^8 - 31073/35968*c_1100_0^7 - 3861/17984*c_1100_0^6 + 1821/2248*c_1100_0^5 + 42107/4496*c_1100_0^4 + 619/1124*c_1100_0^3 - 15493/562*c_1100_0^2 + 121/562*c_1100_0 + 6166/281, c_0011_12 + 21/64*c_1100_0^8 + 13/4*c_1100_0^7 + 25/64*c_1100_0^6 - 93/32*c_1100_0^5 - 575/16*c_1100_0^4 + 23/8*c_1100_0^3 + 101*c_1100_0^2 - 15/2*c_1100_0 - 75, c_0011_9 - 4755/8992*c_1100_0^8 - 11705/2248*c_1100_0^7 - 3011/8992*c_1100_0^6 + 20997/4496*c_1100_0^5 + 16346/281*c_1100_0^4 - 4345/562*c_1100_0^3 - 90215/562*c_1100_0^2 + 4363/281*c_1100_0 + 33019/281, c_0101_0 - 1, c_0101_1 - 75/128*c_1100_0^8 - 741/128*c_1100_0^7 - 17/32*c_1100_0^6 + 175/32*c_1100_0^5 + 129/2*c_1100_0^4 - 25/4*c_1100_0^3 - 727/4*c_1100_0^2 + 29/2*c_1100_0 + 136, c_0101_7 + 22113/35968*c_1100_0^8 + 218353/35968*c_1100_0^7 + 9883/17984*c_1100_0^6 - 24639/4496*c_1100_0^5 - 303643/4496*c_1100_0^4 + 8071/1124*c_1100_0^3 + 52854/281*c_1100_0^2 - 8847/562*c_1100_0 - 38904/281, c_0101_8 + 211/17984*c_1100_0^8 + 2163/17984*c_1100_0^7 + 307/8992*c_1100_0^6 - 333/1124*c_1100_0^5 - 6101/4496*c_1100_0^4 - 253/562*c_1100_0^3 + 3241/562*c_1100_0^2 + 321/562*c_1100_0 - 1682/281, c_0110_10 + 17609/35968*c_1100_0^8 + 173865/35968*c_1100_0^7 + 7927/17984*c_1100_0^6 - 1209/281*c_1100_0^5 - 241995/4496*c_1100_0^4 + 12945/2248*c_1100_0^3 + 41819/281*c_1100_0^2 - 6677/562*c_1100_0 - 30819/281, c_1001_0 - 1, c_1001_2 - 75/128*c_1100_0^8 - 741/128*c_1100_0^7 - 17/32*c_1100_0^6 + 175/32*c_1100_0^5 + 129/2*c_1100_0^4 - 25/4*c_1100_0^3 - 727/4*c_1100_0^2 + 31/2*c_1100_0 + 136, c_1100_0^9 + 11*c_1100_0^8 + 12*c_1100_0^7 - 8*c_1100_0^6 - 120*c_1100_0^5 - 112*c_1100_0^4 + 320*c_1100_0^3 + 320*c_1100_0^2 - 256*c_1100_0 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB