Magma V2.19-8 Wed Aug 21 2013 00:01:22 on localhost [Seed = 3330322244] Type ? for help. Type -D to quit. Loading file "L14n53507__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n53507 geometric_solution 10.85344961 oriented_manifold CS_known -0.0000000000000008 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 0321 0132 2 1 1 0 0 1 -1 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 -2 1 1 1 0 -1 0 -1 1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.181410407878 1.135808718963 0 3 5 4 0132 1023 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 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 0.120251747868 0.845790530201 6 0 0 7 0132 0132 0321 0132 2 0 0 1 0 -1 1 0 1 0 -1 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 2 -1 -1 -2 0 2 0 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.181410407878 1.135808718963 1 7 0 7 1023 0132 0132 0213 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 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 0.417615712628 0.579449790399 6 8 1 8 3201 0132 0132 3012 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 0.574562955110 0.707589841985 9 10 8 1 0132 0132 1302 0132 1 1 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 0 0 0 0 0 0 0 0 1 0 0 -1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088920971519 1.329727406343 2 11 9 4 0132 0132 1230 2310 1 0 1 0 0 0 0 0 -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 0 0 2 0 -2 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861596293467 0.999449680778 11 3 2 3 0132 0132 0132 0213 2 0 1 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 1 -1 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 0.417615712628 0.579449790399 5 4 4 11 2031 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.174696655645 1.244696689305 5 10 10 6 0132 2310 1023 3012 0 1 0 1 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 0 2 -2 -1 0 1 0 0 -2 0 2 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474967097294 0.374342927428 11 5 9 9 3120 0132 1023 3201 1 0 0 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 -1 1 0 0 -2 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701304759021 1.023560118405 7 6 8 10 0132 0132 1230 3120 1 0 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 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 0.544973274522 0.349487535207 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_0']), 'c_1001_11' : negation(d['c_0110_4']), 'c_1001_10' : d['c_0101_1'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : d['c_0110_4'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : negation(d['c_0101_11']), 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_0101_1'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_11']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_8, c_0110_4, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 39667/3351908*c_1001_2^8 + 166277/3351908*c_1001_2^7 + 194252/837977*c_1001_2^6 + 499899/1675954*c_1001_2^5 + 1534695/1675954*c_1001_2^4 + 1319646/837977*c_1001_2^3 + 2442906/837977*c_1001_2^2 + 242088/119711*c_1001_2 + 1960824/837977, c_0011_0 - 1, c_0011_10 - 3/64*c_1001_2^8 - 23/64*c_1001_2^7 - 27/16*c_1001_2^6 - 35/8*c_1001_2^5 - 119/16*c_1001_2^4 - 73/8*c_1001_2^3 - 59/8*c_1001_2^2 - 4*c_1001_2, c_0011_4 - 1/64*c_1001_2^8 - 5/32*c_1001_2^7 - 27/32*c_1001_2^6 - 45/16*c_1001_2^5 - 49/8*c_1001_2^4 - 39/4*c_1001_2^3 - 45/4*c_1001_2^2 - 35/4*c_1001_2 - 4, c_0101_0 + 1/128*c_1001_2^8 + 1/16*c_1001_2^7 + 5/16*c_1001_2^6 + 29/32*c_1001_2^5 + 15/8*c_1001_2^4 + 47/16*c_1001_2^3 + 7/2*c_1001_2^2 + 13/4*c_1001_2 + 3, c_0101_1 - 1, c_0101_10 + 1/64*c_1001_2^8 + 1/16*c_1001_2^7 + 1/8*c_1001_2^6 - 9/16*c_1001_2^5 - 21/8*c_1001_2^4 - 41/8*c_1001_2^3 - 7*c_1001_2^2 - 6*c_1001_2 - 4, c_0101_11 - 1/128*c_1001_2^8 - 1/16*c_1001_2^7 - 5/16*c_1001_2^6 - 29/32*c_1001_2^5 - 15/8*c_1001_2^4 - 47/16*c_1001_2^3 - 7/2*c_1001_2^2 - 13/4*c_1001_2 - 1, c_0101_6 + 1/64*c_1001_2^8 + 15/128*c_1001_2^7 + 9/16*c_1001_2^6 + 3/2*c_1001_2^5 + 91/32*c_1001_2^4 + 4*c_1001_2^3 + 65/16*c_1001_2^2 + 3*c_1001_2 + 3/4, c_0101_8 - 1/64*c_1001_2^8 - 1/8*c_1001_2^7 - 5/8*c_1001_2^6 - 29/16*c_1001_2^5 - 15/4*c_1001_2^4 - 47/8*c_1001_2^3 - 7*c_1001_2^2 - 13/2*c_1001_2 - 4, c_0110_4 + 5/64*c_1001_2^8 + 1/2*c_1001_2^7 + 35/16*c_1001_2^6 + 73/16*c_1001_2^5 + 27/4*c_1001_2^4 + 53/8*c_1001_2^3 + 3*c_1001_2^2 - 4, c_1001_0 - 1, c_1001_2^9 + 8*c_1001_2^8 + 40*c_1001_2^7 + 116*c_1001_2^6 + 240*c_1001_2^5 + 376*c_1001_2^4 + 448*c_1001_2^3 + 416*c_1001_2^2 + 256*c_1001_2 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB