Magma V2.19-8 Wed Aug 21 2013 00:53:55 on localhost [Seed = 1031481481] Type ? for help. Type -D to quit. Loading file "L12n1__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1 geometric_solution 12.27656278 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 0 0 0 0 1 -2 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 0 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561549234019 0.921657855247 0 4 4 5 0132 0132 1302 0132 1 1 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 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 0.517896895442 0.791264748372 0 0 4 5 3012 0132 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420902387341 0.884769788729 6 7 4 0 0132 0132 0321 0132 1 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 -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 0.393676498592 0.762942383435 1 1 3 2 2031 0132 0321 0132 1 1 0 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 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 0.420902387341 0.884769788729 8 2 1 9 0132 1302 0132 0132 1 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 -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 0 0 0.638430645384 0.803343095091 3 10 8 9 0132 0132 0132 2103 1 1 1 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 0 0 0 0 0 0 0 1 0 7 -8 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611798871327 0.415346263492 11 3 12 9 0132 0132 0132 3201 1 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 -1 0 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 0.478100211004 0.691789458632 5 12 11 6 0132 3120 3012 0132 1 1 1 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 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 0 0 0 0 0 1.106244586876 0.559865424330 11 7 5 6 3012 2310 0132 2103 1 1 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 0 0 0 0 0 -1 1 -8 0 0 8 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985726784539 0.967576145235 12 6 11 12 2103 0132 1023 3120 1 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 -1 -1 0 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 0.801917205984 1.144513757835 7 8 10 9 0132 1230 1023 1230 1 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 -7 -1 8 1 0 -1 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 1.465403766583 1.485684420578 10 8 10 7 3120 3120 2103 0132 1 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 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 0.146820597476 0.848323018563 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_1001_3']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0011_5'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(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_10'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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_0011_9']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_9'], 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : d['c_0011_9'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], '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_12, c_0011_5, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 263879/1984*c_0110_2^5 + 30147/31*c_0110_2^4 + 708245/248*c_0110_2^3 + 1094361/248*c_0110_2^2 + 113242/31*c_0110_2 + 42870/31, c_0011_0 - 1, c_0011_10 + 23/32*c_0110_2^5 + 71/16*c_0110_2^4 + 49/4*c_0110_2^3 + 19*c_0110_2^2 + 33/2*c_0110_2 + 7, c_0011_12 - 69/32*c_0110_2^5 - 95/8*c_0110_2^4 - 223/8*c_0110_2^3 - 65/2*c_0110_2^2 - 37/2*c_0110_2 - 3, c_0011_5 - c_0110_2 - 1, c_0011_9 - 23/8*c_0110_2^5 - 215/16*c_0110_2^4 - 225/8*c_0110_2^3 - 129/4*c_0110_2^2 - 21*c_0110_2 - 6, c_0101_0 - 1, c_0101_10 - 69/16*c_0110_2^5 - 357/16*c_0110_2^4 - 199/4*c_0110_2^3 - 233/4*c_0110_2^2 - 36*c_0110_2 - 9, c_0101_11 + 23/16*c_0110_2^5 + 119/16*c_0110_2^4 + 37/2*c_0110_2^3 + 51/2*c_0110_2^2 + 39/2*c_0110_2 + 6, c_0101_2 - 1, c_0101_3 + c_0110_2 + 1, c_0101_8 - 23/32*c_0110_2^5 - 71/16*c_0110_2^4 - 49/4*c_0110_2^3 - 19*c_0110_2^2 - 33/2*c_0110_2 - 7, c_0110_2^6 + 142/23*c_0110_2^5 + 392/23*c_0110_2^4 + 608/23*c_0110_2^3 + 560/23*c_0110_2^2 + 288/23*c_0110_2 + 64/23, c_1001_3 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_5, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 219/128*c_0110_2^7 + 1839/128*c_0110_2^6 - 1401/16*c_0110_2^5 + 2931/16*c_0110_2^4 - 723/4*c_0110_2^3 + 47*c_0110_2^2 + 165/4*c_0110_2 - 101/2, c_0011_0 - 1, c_0011_10 + 1/32*c_0110_2^7 - 5/16*c_0110_2^6 + 67/32*c_0110_2^5 - 105/16*c_0110_2^4 + 51/4*c_0110_2^3 - 16*c_0110_2^2 + 25/2*c_0110_2 - 5, c_0011_12 + 5/32*c_0110_2^7 - 3/2*c_0110_2^6 + 315/32*c_0110_2^5 - 229/8*c_0110_2^4 + 405/8*c_0110_2^3 - 109/2*c_0110_2^2 + 71/2*c_0110_2 - 11, c_0011_5 - c_0110_2 + 1, c_0011_9 + 1/8*c_0110_2^7 - 21/16*c_0110_2^6 + 35/4*c_0110_2^5 - 451/16*c_0110_2^4 + 399/8*c_0110_2^3 - 213/4*c_0110_2^2 + 33*c_0110_2 - 10, c_0101_0 - 1, c_0101_10 + 3/16*c_0110_2^7 - 29/16*c_0110_2^6 + 189/16*c_0110_2^5 - 547/16*c_0110_2^4 + 229/4*c_0110_2^3 - 235/4*c_0110_2^2 + 36*c_0110_2 - 11, c_0101_11 - 1/16*c_0110_2^7 + 11/16*c_0110_2^6 - 75/16*c_0110_2^5 + 257/16*c_0110_2^4 - 61/2*c_0110_2^3 + 67/2*c_0110_2^2 - 43/2*c_0110_2 + 6, c_0101_2 + 1, c_0101_3 + c_0110_2 - 1, c_0101_8 - 1/32*c_0110_2^7 + 5/16*c_0110_2^6 - 67/32*c_0110_2^5 + 105/16*c_0110_2^4 - 51/4*c_0110_2^3 + 16*c_0110_2^2 - 25/2*c_0110_2 + 5, c_0110_2^8 - 10*c_0110_2^7 + 67*c_0110_2^6 - 210*c_0110_2^5 + 408*c_0110_2^4 - 512*c_0110_2^3 + 432*c_0110_2^2 - 224*c_0110_2 + 64, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB