Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 2699115922] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2772 geometric_solution 6.00383071 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 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 1 -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 0.729145113339 0.584822565042 0 3 5 4 0132 0132 0132 0132 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 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 0.784821205659 0.485736316233 3 4 3 0 2103 2103 1302 0132 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 0 0 0 0 0 0.248358480703 0.599919589506 2 1 2 5 2031 0132 2103 3012 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 0 0 0 0.570875471518 0.411080432864 6 2 1 6 0132 2103 0132 3201 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 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 0.510049208603 0.255181803634 6 6 3 1 2031 1302 1230 0132 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 0 0 0 0 0 0 1.040921622054 1.256487401485 4 4 5 5 0132 2310 1302 2031 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 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 1.040921622054 1.256487401485 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 95073908/13645875*c_0101_5^12 - 79288177/13645875*c_0101_5^11 - 22270439/13645875*c_0101_5^10 + 154736164/4548625*c_0101_5^9 + 220466139/4548625*c_0101_5^8 + 2245607428/13645875*c_0101_5^7 - 327034252/13645875*c_0101_5^6 - 761094283/4548625*c_0101_5^5 + 1430408641/13645875*c_0101_5^4 + 1259998784/13645875*c_0101_5^3 - 276238538/2729175*c_0101_5^2 - 271560182/4548625*c_0101_5 + 21681694/13645875, c_0011_0 - 1, c_0011_2 + 103852/181945*c_0101_5^12 - 42871/36389*c_0101_5^11 + 175818/181945*c_0101_5^10 + 410867/181945*c_0101_5^9 + 141543/181945*c_0101_5^8 + 2006184/181945*c_0101_5^7 - 2965976/181945*c_0101_5^6 - 28644/181945*c_0101_5^5 + 3276134/181945*c_0101_5^4 - 2103418/181945*c_0101_5^3 - 876949/181945*c_0101_5^2 + 774418/181945*c_0101_5 - 99016/181945, c_0011_4 + 172064/909725*c_0101_5^12 - 411956/909725*c_0101_5^11 + 326743/909725*c_0101_5^10 + 689666/909725*c_0101_5^9 - 71564/909725*c_0101_5^8 + 2887564/909725*c_0101_5^7 - 6343301/909725*c_0101_5^6 - 535202/909725*c_0101_5^5 + 6243053/909725*c_0101_5^4 - 5075058/909725*c_0101_5^3 - 88526/36389*c_0101_5^2 + 3206422/909725*c_0101_5 - 349188/909725, c_0011_5 + c_0101_5, c_0101_0 + 919316/909725*c_0101_5^12 - 1510419/909725*c_0101_5^11 + 1039102/909725*c_0101_5^10 + 3776489/909725*c_0101_5^9 + 3191659/909725*c_0101_5^8 + 19430896/909725*c_0101_5^7 - 17974014/909725*c_0101_5^6 - 5706133/909725*c_0101_5^5 + 22690782/909725*c_0101_5^4 - 6366137/909725*c_0101_5^3 - 1372642/181945*c_0101_5^2 + 2252898/909725*c_0101_5 - 692702/909725, c_0101_1 - 372414/909725*c_0101_5^12 + 545856/909725*c_0101_5^11 - 540243/909725*c_0101_5^10 - 1230741/909725*c_0101_5^9 - 1864411/909725*c_0101_5^8 - 8893514/909725*c_0101_5^7 + 4944051/909725*c_0101_5^6 - 1308948/909725*c_0101_5^5 - 4302328/909725*c_0101_5^4 + 1905883/909725*c_0101_5^3 + 770/36389*c_0101_5^2 + 412478/909725*c_0101_5 + 860888/909725, c_0101_5^13 - c_0101_5^12 + 5*c_0101_5^10 + 6*c_0101_5^9 + 23*c_0101_5^8 - 6*c_0101_5^7 - 20*c_0101_5^6 + 23*c_0101_5^5 + 9*c_0101_5^4 - 16*c_0101_5^3 - 2*c_0101_5^2 + 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB