Magma V2.19-8 Wed Aug 21 2013 01:02:31 on localhost [Seed = 408814572] Type ? for help. Type -D to quit. Loading file "L14n15069__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15069 geometric_solution 11.95880614 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 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 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 0.688661199691 0.974414722627 0 4 0 5 0132 0132 3012 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 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 0.516300713503 0.684405780809 6 7 3 0 0132 0132 2031 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525057747843 0.689936721794 8 6 0 2 0132 2310 0132 1302 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 -1 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 -0.310697600861 0.986756650269 9 1 9 10 0132 0132 3120 0132 1 0 1 1 0 0 1 -1 2 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 -3 0 2 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 0.640742518073 0.362185386440 11 9 1 10 0132 3120 0132 3201 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263901231607 0.401783385777 2 8 11 3 0132 2310 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 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 0.202270748772 0.936480624707 11 2 12 8 2103 0132 0132 0321 1 1 1 1 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 1 0 -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 -0.015942216226 1.212664968949 3 7 11 6 0132 0321 3012 3201 1 1 1 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 0 0 0 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 0 0 0 0.255506090992 0.850803117270 4 5 4 12 0132 3120 3120 1302 1 0 1 1 0 0 0 0 -2 0 1 1 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 3 0 -2 -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 0.640742518073 0.362185386440 12 5 4 12 1302 2310 0132 2310 1 0 1 1 0 -1 1 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 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 0.842002176602 1.052848726512 5 8 7 6 0132 1230 2103 0132 1 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405751506510 0.770355428458 10 10 9 7 3201 2031 2031 0132 1 1 1 0 0 0 1 -1 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 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 0.536714395961 0.579297383995 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : negation(d['c_0011_2']), 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0101_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_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(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_1100_9' : d['c_0101_12'], 'c_1100_8' : d['c_0011_2'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), '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' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_12']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0011_3'], '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_11, c_0011_12, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 1493889069857/23204111210*c_1001_4^14 - 1964259893227/4640822242*c_1001_4^13 + 12886152266936/11602055605*c_1001_4^12 - 11977833679986/11602055605*c_1001_4^11 - 33376610519353/23204111210*c_1001_4^10 + 56220678635391/11602055605*c_1001_4^9 - 17177528064775/4640822242*c_1001_4^8 - 80366205643187/23204111210*c_1001_4^7 + 93574974882278/11602055605*c_1001_4^6 - 5099605595829/1657436515*c_1001_4^5 - 53241175667084/11602055605*c_1001_4^4 + 105841155336069/23204111210*c_1001_4^3 - 685045451788/11602055605*c_1001_4^2 - 17083072173242/11602055605*c_1001_4 + 6060865465484/11602055605, c_0011_0 - 1, c_0011_10 + 7/8*c_1001_4^14 - 47/8*c_1001_4^13 + 133/8*c_1001_4^12 - 77/4*c_1001_4^11 - 105/8*c_1001_4^10 + 287/4*c_1001_4^9 - 77*c_1001_4^8 - 49/2*c_1001_4^7 + 529/4*c_1001_4^6 - 743/8*c_1001_4^5 - 389/8*c_1001_4^4 + 407/4*c_1001_4^3 - 229/8*c_1001_4^2 - 119/4*c_1001_4 + 37/2, c_0011_11 + c_1001_4^2 - 2*c_1001_4 + 1, c_0011_12 - c_1001_4^14 + 6*c_1001_4^13 - 15*c_1001_4^12 + 13*c_1001_4^11 + 20*c_1001_4^10 - 64*c_1001_4^9 + 48*c_1001_4^8 + 44*c_1001_4^7 - 106*c_1001_4^6 + 43*c_1001_4^5 + 56*c_1001_4^4 - 64*c_1001_4^3 + 3*c_1001_4^2 + 19*c_1001_4 - 9, c_0011_2 - 9/8*c_1001_4^14 + 47/8*c_1001_4^13 - 81/8*c_1001_4^12 - 8*c_1001_4^11 + 483/8*c_1001_4^10 - 177/2*c_1001_4^9 - 9/2*c_1001_4^8 + 337/2*c_1001_4^7 - 739/4*c_1001_4^6 - 171/8*c_1001_4^5 + 1517/8*c_1001_4^4 - 241/2*c_1001_4^3 - 265/8*c_1001_4^2 + 60*c_1001_4 - 18, c_0011_3 - 5/8*c_1001_4^14 + 23/8*c_1001_4^13 - 25/8*c_1001_4^12 - 23/2*c_1001_4^11 + 343/8*c_1001_4^10 - 49*c_1001_4^9 - 47/2*c_1001_4^8 + 249/2*c_1001_4^7 - 451/4*c_1001_4^6 - 287/8*c_1001_4^5 + 1101/8*c_1001_4^4 - 77*c_1001_4^3 - 229/8*c_1001_4^2 + 87/2*c_1001_4 - 13, c_0101_0 + 5/8*c_1001_4^14 - 33/8*c_1001_4^13 + 91/8*c_1001_4^12 - 49/4*c_1001_4^11 - 91/8*c_1001_4^10 + 203/4*c_1001_4^9 - 49*c_1001_4^8 - 51/2*c_1001_4^7 + 379/4*c_1001_4^6 - 445/8*c_1001_4^5 - 363/8*c_1001_4^4 + 291/4*c_1001_4^3 - 111/8*c_1001_4^2 - 99/4*c_1001_4 + 27/2, c_0101_1 - 5/8*c_1001_4^14 + 33/8*c_1001_4^13 - 91/8*c_1001_4^12 + 49/4*c_1001_4^11 + 91/8*c_1001_4^10 - 203/4*c_1001_4^9 + 49*c_1001_4^8 + 51/2*c_1001_4^7 - 379/4*c_1001_4^6 + 445/8*c_1001_4^5 + 363/8*c_1001_4^4 - 287/4*c_1001_4^3 + 103/8*c_1001_4^2 + 99/4*c_1001_4 - 25/2, c_0101_11 + 7/8*c_1001_4^14 - 47/8*c_1001_4^13 + 133/8*c_1001_4^12 - 77/4*c_1001_4^11 - 105/8*c_1001_4^10 + 287/4*c_1001_4^9 - 77*c_1001_4^8 - 49/2*c_1001_4^7 + 529/4*c_1001_4^6 - 743/8*c_1001_4^5 - 389/8*c_1001_4^4 + 407/4*c_1001_4^3 - 229/8*c_1001_4^2 - 115/4*c_1001_4 + 35/2, c_0101_12 + 1, c_0101_2 - 13/8*c_1001_4^14 + 85/8*c_1001_4^13 - 235/8*c_1001_4^12 + 133/4*c_1001_4^11 + 175/8*c_1001_4^10 - 469/4*c_1001_4^9 + 245/2*c_1001_4^8 + 71/2*c_1001_4^7 - 763/4*c_1001_4^6 + 1013/8*c_1001_4^5 + 495/8*c_1001_4^4 - 467/4*c_1001_4^3 + 203/8*c_1001_4^2 + 109/4*c_1001_4 - 12, c_0101_8 + 17/8*c_1001_4^14 - 115/8*c_1001_4^13 + 341/8*c_1001_4^12 - 119/2*c_1001_4^11 + 29/8*c_1001_4^10 + 126*c_1001_4^9 - 369/2*c_1001_4^8 + 87/2*c_1001_4^7 + 667/4*c_1001_4^6 - 1453/8*c_1001_4^5 + 119/8*c_1001_4^4 + 88*c_1001_4^3 - 359/8*c_1001_4^2 - 5/2*c_1001_4 + 5, c_1001_4^15 - 7*c_1001_4^14 + 21*c_1001_4^13 - 28*c_1001_4^12 - 7*c_1001_4^11 + 84*c_1001_4^10 - 112*c_1001_4^9 + 4*c_1001_4^8 + 150*c_1001_4^7 - 149*c_1001_4^6 - 13*c_1001_4^5 + 120*c_1001_4^4 - 67*c_1001_4^3 - 16*c_1001_4^2 + 28*c_1001_4 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.920 Total time: 1.129 seconds, Total memory usage: 32.09MB