Magma V2.19-8 Wed Aug 21 2013 00:54:29 on localhost [Seed = 3263486110] Type ? for help. Type -D to quit. Loading file "L12n290__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n290 geometric_solution 12.27656278 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 0213 0132 0132 0 1 1 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 0 0 0 0 0 0 0 0 0 -1 1 -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 0.420902387341 0.884769788729 0 4 0 5 0132 0132 0213 0132 0 1 1 1 0 0 -1 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 1 0 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561549234019 0.921657855247 6 4 7 0 0132 1230 0132 0132 0 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 -1 1 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465884340089 1.035112525283 4 4 0 5 0213 1302 0132 2103 0 1 0 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 -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 0.420902387341 0.884769788729 3 1 2 3 0213 0132 3012 2031 0 0 1 1 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 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517896895442 0.791264748372 8 9 1 3 0132 0132 0132 2103 0 1 0 1 0 1 -1 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 0 0 0 0 0 0 0 1 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393676498592 0.762942383435 2 9 10 11 0132 1302 0132 0132 1 1 0 1 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 0 0 -1 0 0 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483334036877 0.507152355819 12 9 8 2 0132 3201 3120 0132 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 0 0 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 0.694984177206 0.921216558895 5 12 7 10 0132 2103 3120 3120 1 1 1 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 1 -1 0 0 0 0 4 -1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015242528687 1.033285540397 11 5 7 6 1023 0132 2310 2031 0 1 1 0 0 -1 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 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 0.478100211004 0.691789458632 8 11 12 6 3120 0321 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.021142588974 0.683684830211 12 9 6 10 2103 1023 0132 0321 1 1 1 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 -1 0 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 1.465403766583 1.485684420578 7 8 11 10 0132 2103 2103 0132 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 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 0.663486560600 0.341170662744 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0110_9'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_2']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0110_9'], 'c_1010_10' : d['c_0110_9'], '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' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_0110_3']), 'c_1010_9' : negation(d['c_0011_2']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_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' : negation(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' : d['c_0011_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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_8'], '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' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : negation(d['c_0110_3']), 'c_0110_7' : d['c_0101_11'], '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_10, c_0011_11, c_0011_12, c_0011_2, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_8, c_0110_3, c_0110_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 102593/16*c_1001_2^7 + 806989/32*c_1001_2^6 + 3207837/64*c_1001_2^5 + 2014683/32*c_1001_2^4 + 6654993/128*c_1001_2^3 + 14473247/512*c_1001_2^2 + 9117961/1024*c_1001_2 + 157351/128, c_0011_0 - 1, c_0011_10 + 16*c_1001_2^7 + 72*c_1001_2^6 + 164*c_1001_2^5 + 232*c_1001_2^4 + 218*c_1001_2^3 + 271/2*c_1001_2^2 + 205/4*c_1001_2 + 19/2, c_0011_11 + 2*c_1001_2^2 + 2*c_1001_2 + 1, c_0011_12 - 32*c_1001_2^7 - 112*c_1001_2^6 - 200*c_1001_2^5 - 224*c_1001_2^4 - 164*c_1001_2^3 - 77*c_1001_2^2 - 41/2*c_1001_2 - 2, c_0011_2 - c_1001_2 - 1, c_0011_3 - 1, c_0101_0 + c_1001_2, c_0101_10 - 16*c_1001_2^7 - 72*c_1001_2^6 - 148*c_1001_2^5 - 192*c_1001_2^4 - 166*c_1001_2^3 - 191/2*c_1001_2^2 - 137/4*c_1001_2 - 11/2, c_0101_11 + 2*c_1001_2^2 + 2*c_1001_2 + 1, c_0101_8 - c_1001_2 - 1, c_0110_3 + 1, c_0110_9 - 16*c_1001_2^7 - 72*c_1001_2^6 - 148*c_1001_2^5 - 192*c_1001_2^4 - 166*c_1001_2^3 - 191/2*c_1001_2^2 - 137/4*c_1001_2 - 11/2, c_1001_2^8 + 9/2*c_1001_2^7 + 41/4*c_1001_2^6 + 15*c_1001_2^5 + 121/8*c_1001_2^4 + 343/32*c_1001_2^3 + 333/64*c_1001_2^2 + 51/32*c_1001_2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB