Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 694727952] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s058 geometric_solution 3.59712615 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.438633464769 0.082200079950 0 2 2 0 3201 0132 1023 0132 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 -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 1.218408188284 0.107890122676 3 1 1 3 0132 0132 1023 1023 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 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 1.353784641236 0.510677516302 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -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 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 0.207552028640 0.411308753750 5 3 5 5 2310 0132 3201 2031 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 -1 1 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 0.010465069028 1.021630262963 4 4 4 3 2310 1302 3201 0132 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 0 0 -1 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 0.010465069028 1.021630262963 ==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_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_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_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0101_3']), '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_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 80698361696/682569809*c_0101_3^13 + 53486005964/682569809*c_0101_3^12 - 912692575271/682569809*c_0101_3^11 + 1345164269251/682569809*c_0101_3^10 + 1550298477422/682569809*c_0101_3^9 - 6139356079661/682569809*c_0101_3^8 + 6647442100928/682569809*c_0101_3^7 + 3028728622120/682569809*c_0101_3^6 - 9396572285867/682569809*c_0101_3^5 - 1201754930826/682569809*c_0101_3^4 + 4608285159808/682569809*c_0101_3^3 + 1447200350112/682569809*c_0101_3^2 - 787531593836/682569809*c_0101_3 - 308221692269/682569809, c_0011_0 - 1, c_0011_1 - 1650730287/682569809*c_0101_3^13 - 1010125485/682569809*c_0101_3^12 + 18702319694/682569809*c_0101_3^11 - 28467890779/682569809*c_0101_3^10 - 30042297737/682569809*c_0101_3^9 + 126684915751/682569809*c_0101_3^8 - 142581811664/682569809*c_0101_3^7 - 53164253689/682569809*c_0101_3^6 + 192625132462/682569809*c_0101_3^5 + 15292465691/682569809*c_0101_3^4 - 93094760265/682569809*c_0101_3^3 - 25131754066/682569809*c_0101_3^2 + 17119543388/682569809*c_0101_3 + 5519652141/682569809, c_0011_5 + 705076519/682569809*c_0101_3^13 + 313686754/682569809*c_0101_3^12 - 8065581174/682569809*c_0101_3^11 + 13438568511/682569809*c_0101_3^10 + 10802475490/682569809*c_0101_3^9 - 55806963590/682569809*c_0101_3^8 + 69166526213/682569809*c_0101_3^7 + 11875114819/682569809*c_0101_3^6 - 83213300276/682569809*c_0101_3^5 + 3535513598/682569809*c_0101_3^4 + 39015725966/682569809*c_0101_3^3 + 8220427707/682569809*c_0101_3^2 - 7925745776/682569809*c_0101_3 - 2372620969/682569809, c_0101_0 - 2689085434/682569809*c_0101_3^13 - 1776422364/682569809*c_0101_3^12 + 30196983592/682569809*c_0101_3^11 - 45228171754/682569809*c_0101_3^10 - 49403280785/682569809*c_0101_3^9 + 202808643046/682569809*c_0101_3^8 - 227447578145/682569809*c_0101_3^7 - 88506552111/682569809*c_0101_3^6 + 303995965573/682569809*c_0101_3^5 + 24932322457/682569809*c_0101_3^4 - 140131193571/682569809*c_0101_3^3 - 38690096346/682569809*c_0101_3^2 + 25038959914/682569809*c_0101_3 + 8569609378/682569809, c_0101_2 - 2595753640/682569809*c_0101_3^13 - 1617739589/682569809*c_0101_3^12 + 29240299057/682569809*c_0101_3^11 - 44649454091/682569809*c_0101_3^10 - 46221971411/682569809*c_0101_3^9 + 197264748981/682569809*c_0101_3^8 - 225815712612/682569809*c_0101_3^7 - 77219445004/682569809*c_0101_3^6 + 295117111086/682569809*c_0101_3^5 + 16836142285/682569809*c_0101_3^4 - 133912737864/682569809*c_0101_3^3 - 35527742124/682569809*c_0101_3^2 + 23407710799/682569809*c_0101_3 + 7657460043/682569809, c_0101_3^14 + c_0101_3^13 - 11*c_0101_3^12 + 13*c_0101_3^11 + 24*c_0101_3^10 - 69*c_0101_3^9 + 59*c_0101_3^8 + 61*c_0101_3^7 - 101*c_0101_3^6 - 48*c_0101_3^5 + 48*c_0101_3^4 + 32*c_0101_3^3 - 4*c_0101_3^2 - 6*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB