Magma V2.19-8 Tue Aug 20 2013 16:16:12 on localhost [Seed = 2261195333] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0454 geometric_solution 4.49420703 oriented_manifold CS_known -0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 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 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 6.308458449301 1.252103817102 0 2 2 0 3201 0132 3201 0132 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 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 -0.256916535809 0.090699860059 1 1 3 3 2310 0132 0132 2310 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 1 -1 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 1.855132107230 0.972446195947 2 4 5 2 3201 0132 0132 0132 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 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 0.921267334858 0.348292275327 5 3 5 6 2103 0132 1302 0132 0 0 0 0 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 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 0.600639722310 0.635213030398 4 6 4 3 2031 1023 2103 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600639722310 0.635213030398 5 6 4 6 1023 2310 0132 3201 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 -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 0.214093583296 0.831143825526 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : 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' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], '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_1, c_0011_3, c_0011_5, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 2806244/27947*c_0110_6^14 - 2132626/27947*c_0110_6^13 - 14424170/27947*c_0110_6^12 + 5003214/27947*c_0110_6^11 + 56707764/27947*c_0110_6^10 - 9317207/27947*c_0110_6^9 - 140400986/27947*c_0110_6^8 + 7691111/27947*c_0110_6^7 + 238554466/27947*c_0110_6^6 - 12535350/27947*c_0110_6^5 - 265834886/27947*c_0110_6^4 + 33819051/27947*c_0110_6^3 + 125442363/27947*c_0110_6^2 - 13057451/27947*c_0110_6 - 18489991/27947, c_0011_0 - 1, c_0011_1 - 540401/1313509*c_0110_6^14 - 74929/1313509*c_0110_6^13 + 3034797/1313509*c_0110_6^12 + 1359303/1313509*c_0110_6^11 - 11072433/1313509*c_0110_6^10 - 6853739/1313509*c_0110_6^9 + 26374443/1313509*c_0110_6^8 + 17953260/1313509*c_0110_6^7 - 42722434/1313509*c_0110_6^6 - 27349032/1313509*c_0110_6^5 + 47784512/1313509*c_0110_6^4 + 22156764/1313509*c_0110_6^3 - 25308397/1313509*c_0110_6^2 - 4666336/1313509*c_0110_6 + 2245625/1313509, c_0011_3 + 572393/1313509*c_0110_6^14 - 346064/1313509*c_0110_6^13 - 2806445/1313509*c_0110_6^12 + 310512/1313509*c_0110_6^11 + 10771259/1313509*c_0110_6^10 + 580259/1313509*c_0110_6^9 - 25005901/1313509*c_0110_6^8 - 4692716/1313509*c_0110_6^7 + 39489721/1313509*c_0110_6^6 + 7609215/1313509*c_0110_6^5 - 39269110/1313509*c_0110_6^4 - 4623204/1313509*c_0110_6^3 + 11611403/1313509*c_0110_6^2 + 4387167/1313509*c_0110_6 - 532840/1313509, c_0011_5 + 306511/1313509*c_0101_1*c_0110_6^14 - 15967/1313509*c_0101_1*c_0110_6^13 - 1603597/1313509*c_0101_1*c_0110_6^12 - 531324/1313509*c_0101_1*c_0110_6^11 + 5807909/1313509*c_0101_1*c_0110_6^10 + 2894790/1313509*c_0101_1*c_0110_6^9 - 13355523/1313509*c_0101_1*c_0110_6^8 - 7810064/1313509*c_0101_1*c_0110_6^7 + 20357270/1313509*c_0101_1*c_0110_6^6 + 11553783/1313509*c_0101_1*c_0110_6^5 - 20603645/1313509*c_0101_1*c_0110_6^4 - 8644341/1313509*c_0101_1*c_0110_6^3 + 6993480/1313509*c_0101_1*c_0110_6^2 + 1782965/1313509*c_0101_1*c_0110_6 + 449011/1313509*c_0101_1, c_0101_1^2 - 540401/1313509*c_0110_6^14 - 74929/1313509*c_0110_6^13 + 3034797/1313509*c_0110_6^12 + 1359303/1313509*c_0110_6^11 - 11072433/1313509*c_0110_6^10 - 6853739/1313509*c_0110_6^9 + 26374443/1313509*c_0110_6^8 + 17953260/1313509*c_0110_6^7 - 42722434/1313509*c_0110_6^6 - 27349032/1313509*c_0110_6^5 + 47784512/1313509*c_0110_6^4 + 22156764/1313509*c_0110_6^3 - 25308397/1313509*c_0110_6^2 - 4666336/1313509*c_0110_6 + 932116/1313509, c_0101_2 - 605946/1313509*c_0110_6^14 + 907938/1313509*c_0110_6^13 + 2659248/1313509*c_0110_6^12 - 2982023/1313509*c_0110_6^11 - 11110584/1313509*c_0110_6^10 + 9351582/1313509*c_0110_6^9 + 26860350/1313509*c_0110_6^8 - 18010669/1313509*c_0110_6^7 - 44700515/1313509*c_0110_6^6 + 28087412/1313509*c_0110_6^5 + 44469930/1313509*c_0110_6^4 - 31086855/1313509*c_0110_6^3 - 9928969/1313509*c_0110_6^2 + 6812240/1313509*c_0110_6 + 71218/1313509, c_0110_6^15 - c_0110_6^14 - 5*c_0110_6^13 + 3*c_0110_6^12 + 20*c_0110_6^11 - 8*c_0110_6^10 - 50*c_0110_6^9 + 14*c_0110_6^8 + 86*c_0110_6^7 - 23*c_0110_6^6 - 96*c_0110_6^5 + 32*c_0110_6^4 + 44*c_0110_6^3 - 13*c_0110_6^2 - 6*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB