Magma V2.19-8 Tue Aug 20 2013 18:01:52 on localhost [Seed = 2732791773] Type ? for help. Type -D to quit. Loading file "11_294__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_294 geometric_solution 12.27094740 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 -1 0 1 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162233539937 1.059043607470 0 5 6 6 0132 0132 2103 0132 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 0 0 0 0 1 0 0 -1 0 7 0 -7 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561052298044 0.851864651222 7 0 5 8 0132 0132 0132 0132 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 -1 1 0 -1 0 1 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 0.359920578612 0.843051674975 4 5 9 0 0132 1230 0132 0132 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 -1 0 1 0 0 1 -1 8 -8 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.203653978346 1.173146525715 3 6 0 9 0132 2103 0132 0132 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 0 0 0 0 -1 0 0 1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074942867282 0.938177459275 10 1 3 2 0132 0132 3012 0132 0 0 0 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 1 -1 0 0 1 -1 -7 7 0 0 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773014171808 1.031954525798 1 4 1 11 2103 2103 0132 0132 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 0 0 1 -1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460761550097 0.818743948922 2 10 9 8 0132 0132 2103 3120 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 0 -1 0 -8 0 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585402967215 0.463608504172 7 11 2 12 3120 3012 0132 0132 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 0 0 0 -0.161411112500 0.757177431560 7 12 4 3 2103 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049806348280 0.831391670445 5 7 12 11 0132 0132 2103 0321 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 0 0 0 0 1 -1 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460060599063 0.929085528876 8 10 6 12 1230 0321 0132 0321 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 -8 0 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642410257229 0.482716913441 10 11 8 9 2103 0321 0132 2031 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460060599063 0.929085528876 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0110_12'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_9'], 's_3_11' : d['1'], 's_3_10' : 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' : 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' : 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' : 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_3']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0110_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0110_12']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0110_12'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_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_3']), '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' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_12']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_3'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_12, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0110_12, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 62691243/282080*c_1100_0^7 - 8149753/56416*c_1100_0^6 + 275735811/282080*c_1100_0^5 - 464325593/282080*c_1100_0^4 + 22819884/8815*c_1100_0^3 - 16101281/35260*c_1100_0^2 + 37641793/141040*c_1100_0 + 42085439/282080, c_0011_0 - 1, c_0011_11 - c_1100_0, c_0011_12 - 55/43*c_1100_0^7 + 100/43*c_1100_0^6 - 304/43*c_1100_0^5 + 703/43*c_1100_0^4 - 1212/43*c_1100_0^3 + 998/43*c_1100_0^2 - 440/43*c_1100_0 + 109/43, c_0011_3 - 26/43*c_1100_0^7 + 59/43*c_1100_0^6 - 157/43*c_1100_0^5 + 398/43*c_1100_0^4 - 691/43*c_1100_0^3 + 686/43*c_1100_0^2 - 423/43*c_1100_0 + 143/43, c_0011_6 + 55/43*c_1100_0^7 - 100/43*c_1100_0^6 + 304/43*c_1100_0^5 - 703/43*c_1100_0^4 + 1212/43*c_1100_0^3 - 998/43*c_1100_0^2 + 483/43*c_1100_0 - 109/43, c_0011_9 + 17/43*c_1100_0^7 - 27/43*c_1100_0^6 + 101/43*c_1100_0^5 - 204/43*c_1100_0^4 + 384/43*c_1100_0^3 - 346/43*c_1100_0^2 + 265/43*c_1100_0 - 72/43, c_0101_0 - 9/43*c_1100_0^7 - 11/43*c_1100_0^6 - 13/43*c_1100_0^5 - 21/43*c_1100_0^4 + 80/43*c_1100_0^3 - 305/43*c_1100_0^2 + 186/43*c_1100_0 - 58/43, c_0101_10 + 13/43*c_1100_0^7 - 51/43*c_1100_0^6 + 100/43*c_1100_0^5 - 285/43*c_1100_0^4 + 539/43*c_1100_0^3 - 601/43*c_1100_0^2 + 276/43*c_1100_0 - 50/43, c_0101_11 + 13/43*c_1100_0^7 - 51/43*c_1100_0^6 + 100/43*c_1100_0^5 - 285/43*c_1100_0^4 + 539/43*c_1100_0^3 - 601/43*c_1100_0^2 + 276/43*c_1100_0 - 50/43, c_0101_3 + 54/43*c_1100_0^7 - 63/43*c_1100_0^6 + 250/43*c_1100_0^5 - 519/43*c_1100_0^4 + 810/43*c_1100_0^3 - 406/43*c_1100_0^2 + 88/43*c_1100_0 + 4/43, c_0110_12 + 37/43*c_1100_0^7 - 36/43*c_1100_0^6 + 149/43*c_1100_0^5 - 315/43*c_1100_0^4 + 426/43*c_1100_0^3 - 60/43*c_1100_0^2 - 134/43*c_1100_0 + 76/43, c_1001_3 + 63/43*c_1100_0^7 - 95/43*c_1100_0^6 + 306/43*c_1100_0^5 - 713/43*c_1100_0^4 + 1117/43*c_1100_0^3 - 746/43*c_1100_0^2 + 203/43*c_1100_0 - 24/43, c_1100_0^8 - 2*c_1100_0^7 + 6*c_1100_0^6 - 14*c_1100_0^5 + 25*c_1100_0^4 - 24*c_1100_0^3 + 14*c_1100_0^2 - 5*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.960 Total time: 3.169 seconds, Total memory usage: 83.31MB