Magma V2.19-8 Wed Aug 21 2013 01:01:30 on localhost [Seed = 2581561949] Type ? for help. Type -D to quit. Loading file "L14n1236__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1236 geometric_solution 12.21480437 oriented_manifold CS_known -0.0000000000000011 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 -1 0 1 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 0.800886487929 1.073534222490 0 2 6 5 0132 3012 0132 0132 1 1 1 1 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 0.498127778655 1.221365553358 1 0 3 6 1230 0132 0213 3201 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 1 0 -1 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 0.538046904844 0.412918587363 7 2 8 0 0132 0213 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468872416160 0.717054758003 9 8 0 10 0132 0132 0132 0132 1 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 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 0.898001001319 0.694064559365 10 11 1 9 1230 0132 0132 2031 1 1 0 1 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020580992638 0.886645813920 12 2 12 1 0132 2310 3012 0132 1 1 1 1 0 0 0 0 -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 0 0 0 0 1 0 -1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390054397635 0.910360597403 3 11 10 12 0132 1302 1230 2103 1 1 1 1 0 0 0 0 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 0 -1 0 1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441611712822 0.485108620423 9 4 11 3 2103 0132 2103 0132 1 1 1 0 0 0 0 0 1 0 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 -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 0.649714753151 0.409205438842 4 5 8 12 0132 1302 2103 0132 1 1 1 0 0 0 0 0 0 0 -1 1 0 1 0 -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 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 0.605730760550 1.077630051518 11 5 4 7 2103 3012 0132 3012 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 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 0.883223425644 0.970217240846 8 5 10 7 2103 0132 2103 2031 1 1 1 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 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 1.122284479762 1.015978685863 6 6 9 7 0132 1230 0132 2103 1 1 1 1 0 -1 0 1 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 1 0 -1 -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 0.507953575856 0.758134690990 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0011_12'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0101_0']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_12']), 'c_1100_4' : negation(d['c_0110_11']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_1001_12']), 'c_1100_1' : negation(d['c_1001_12']), 'c_1100_0' : negation(d['c_0110_11']), 'c_1100_3' : negation(d['c_0110_11']), 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0110_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['c_0101_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_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0101_6']), 'c_0110_12' : d['c_0101_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0110_11, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 7571/5260112*c_1001_2^4 - 781595/2630056*c_1001_2^3 + 303879/5260112*c_1001_2^2 + 13164985/5260112*c_1001_2 - 15666845/5260112, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 7/2*c_1001_2^4 - 3*c_1001_2^3 + 39/2*c_1001_2^2 - 39/2*c_1001_2 + 49/2, c_0011_12 + 3/2*c_1001_2^4 + c_1001_2^3 - 17/2*c_1001_2^2 + 19/2*c_1001_2 - 23/2, c_0011_3 + 5/2*c_1001_2^4 + 2*c_1001_2^3 - 27/2*c_1001_2^2 + 31/2*c_1001_2 - 37/2, c_0101_0 + 11/2*c_1001_2^4 + 4*c_1001_2^3 - 61/2*c_1001_2^2 + 65/2*c_1001_2 - 79/2, c_0101_1 + 4*c_1001_2^4 + 3*c_1001_2^3 - 22*c_1001_2^2 + 23*c_1001_2 - 29, c_0101_10 - 7/2*c_1001_2^4 - 3*c_1001_2^3 + 39/2*c_1001_2^2 - 39/2*c_1001_2 + 49/2, c_0101_3 - 4*c_1001_2^4 - 3*c_1001_2^3 + 22*c_1001_2^2 - 25*c_1001_2 + 29, c_0101_6 + 3/2*c_1001_2^4 + c_1001_2^3 - 17/2*c_1001_2^2 + 17/2*c_1001_2 - 21/2, c_0110_11 + 5*c_1001_2^4 + 4*c_1001_2^3 - 29*c_1001_2^2 + 31*c_1001_2 - 37, c_1001_12 + 3*c_1001_2^4 + 2*c_1001_2^3 - 17*c_1001_2^2 + 18*c_1001_2 - 22, c_1001_2^5 - c_1001_2^4 - 7*c_1001_2^3 + 16*c_1001_2^2 - 18*c_1001_2 + 13 ], 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0110_11, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 51917/183000*c_1001_2^5 - 1092401/366000*c_1001_2^4 + 4832681/549000*c_1001_2^3 - 281883/24400*c_1001_2^2 + 1864049/219600*c_1001_2 - 434821/122000, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 101/61*c_1001_2^5 + 473/122*c_1001_2^4 - 947/183*c_1001_2^3 + 627/122*c_1001_2^2 - 631/366*c_1001_2 + 199/122, c_0011_12 + 71/61*c_1001_2^5 - 347/122*c_1001_2^4 + 557/183*c_1001_2^3 - 355/122*c_1001_2^2 + 661/366*c_1001_2 - 187/122, c_0011_3 + 75/61*c_1001_2^5 - 315/122*c_1001_2^4 + 142/61*c_1001_2^3 - 131/122*c_1001_2^2 + 97/122*c_1001_2 - 91/122, c_0101_0 - 83/61*c_1001_2^5 + 251/122*c_1001_2^4 - 164/183*c_1001_2^3 + 171/122*c_1001_2^2 - 283/366*c_1001_2 + 143/122, c_0101_1 + 4/61*c_1001_2^5 + 16/61*c_1001_2^4 - 131/183*c_1001_2^3 - 10/61*c_1001_2^2 + 181/183*c_1001_2 - 13/61, c_0101_10 + 101/61*c_1001_2^5 - 473/122*c_1001_2^4 + 947/183*c_1001_2^3 - 627/122*c_1001_2^2 + 631/366*c_1001_2 - 199/122, c_0101_3 - 4/61*c_1001_2^5 - 16/61*c_1001_2^4 + 131/183*c_1001_2^3 + 10/61*c_1001_2^2 + 185/183*c_1001_2 + 13/61, c_0101_6 + 79/61*c_1001_2^5 - 283/122*c_1001_2^4 + 295/183*c_1001_2^3 - 151/122*c_1001_2^2 + 287/366*c_1001_2 - 117/122, c_0110_11 - 150/61*c_1001_2^5 + 315/61*c_1001_2^4 - 284/61*c_1001_2^3 + 253/61*c_1001_2^2 - 97/61*c_1001_2 + 91/61, c_1001_12 + 150/61*c_1001_2^5 - 315/61*c_1001_2^4 + 284/61*c_1001_2^3 - 253/61*c_1001_2^2 + 158/61*c_1001_2 - 152/61, c_1001_2^6 - 7/2*c_1001_2^5 + 29/6*c_1001_2^4 - 9/2*c_1001_2^3 + 10/3*c_1001_2^2 - 2*c_1001_2 + 3/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.360 seconds, Total memory usage: 32.09MB