Magma V2.19-8 Tue Aug 20 2013 16:18:40 on localhost [Seed = 3734979538] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2841 geometric_solution 6.06295093 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 -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 0.721818939185 0.389236003173 0 3 0 4 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0.926706773202 0.578766146402 5 0 4 0 0132 0132 2310 1023 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 -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 0.926706773202 0.578766146402 6 1 5 4 0132 0132 2031 1230 0 0 0 0 0 0 0 0 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 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 0.639448859363 0.571512660590 3 2 1 5 3012 3201 0132 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.404988167179 0.783385090312 2 6 4 3 0132 3201 1230 1302 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 0.639448859363 0.571512660590 3 6 5 6 0132 2310 2310 3201 0 0 0 0 0 1 0 -1 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 -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 -0.042295324607 1.177706866218 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_0011_0'], 'c_1100_5' : d['c_0101_3'], '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_4']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_5'], '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_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_5']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3091281740374720435327/491739265817946188088*c_0101_5^13 - 98998743128796404602549/491739265817946188088*c_0101_5^12 + 232548431377214549784317/491739265817946188088*c_0101_5^11 - 51059492755361083681655/122934816454486547022*c_0101_5^10 + 151264209146743490085667/491739265817946188088*c_0101_5^9 + 133676479291371869183201/245869632908973094044*c_0101_5^8 - 10203244998779871929619/81956544302991031348*c_0101_5^7 + 224259790290335114750795/245869632908973094044*c_0101_5^6 - 125295163191142976771921/122934816454486547022*c_0101_5^5 - 548943423677434749621229/245869632908973094044*c_0101_5^4 - 188301196953710998649705/163913088605982062696*c_0101_5^3 - 1874212408444242823273/20489136075747757837*c_0101_5^2 - 14835299589642739513841/163913088605982062696*c_0101_5 + 13602250495900519219049/491739265817946188088, c_0011_0 - 1, c_0011_4 - 524636911730014929/20489136075747757837*c_0101_5^13 - 16628485563591685467/20489136075747757837*c_0101_5^12 + 44910297380982626448/20489136075747757837*c_0101_5^11 - 50999837526322875666/20489136075747757837*c_0101_5^10 + 40794127220230566582/20489136075747757837*c_0101_5^9 + 40714402900235133150/20489136075747757837*c_0101_5^8 - 29177338380393226886/20489136075747757837*c_0101_5^7 + 93360039408448323328/20489136075747757837*c_0101_5^6 - 100083783325126177396/20489136075747757837*c_0101_5^5 - 150683972214645330732/20489136075747757837*c_0101_5^4 - 41832348293874266609/20489136075747757837*c_0101_5^3 - 31288638367354313489/20489136075747757837*c_0101_5^2 - 69902241000579271580/20489136075747757837*c_0101_5 - 5085404771447229630/20489136075747757837, c_0101_0 + c_0101_5, c_0101_1 + 4642873220252405795/20489136075747757837*c_0101_5^13 + 150093366322819586469/20489136075747757837*c_0101_5^12 - 304452278000533236912/20489136075747757837*c_0101_5^11 + 195654241729990593576/20489136075747757837*c_0101_5^10 - 124022347868262389384/20489136075747757837*c_0101_5^9 - 472175283066726204962/20489136075747757837*c_0101_5^8 - 36716939557330482246/20489136075747757837*c_0101_5^7 - 615091170875246903246/20489136075747757837*c_0101_5^6 + 537383450850290978050/20489136075747757837*c_0101_5^5 + 1907606085134050097290/20489136075747757837*c_0101_5^4 + 1325084668301248264201/20489136075747757837*c_0101_5^3 + 242067803761640074154/20489136075747757837*c_0101_5^2 + 61373523144404240104/20489136075747757837*c_0101_5 + 6247632058017974928/20489136075747757837, c_0101_2 + 5443806179099826593/20489136075747757837*c_0101_5^13 + 175472629755480993688/20489136075747757837*c_0101_5^12 - 373391220639111830483/20489136075747757837*c_0101_5^11 + 268522466278221787981/20489136075747757837*c_0101_5^10 - 175930816549404528599/20489136075747757837*c_0101_5^9 - 541242193832539870666/20489136075747757837*c_0101_5^8 + 21556282938747539597/20489136075747757837*c_0101_5^7 - 752712686377503768674/20489136075747757837*c_0101_5^6 + 706390260647162210841/20489136075747757837*c_0101_5^5 + 2143073265850297928530/20489136075747757837*c_0101_5^4 + 1356431538136202953085/20489136075747757837*c_0101_5^3 + 218060960099211382454/20489136075747757837*c_0101_5^2 + 68060128113839094922/20489136075747757837*c_0101_5 + 3492400777019396282/20489136075747757837, c_0101_3 + 5564368686917468840/20489136075747757837*c_0101_5^13 + 177594786152427555928/20489136075747757837*c_0101_5^12 - 438082285951383805639/20489136075747757837*c_0101_5^11 + 409431434225840364469/20489136075747757837*c_0101_5^10 - 301357617389394736782/20489136075747757837*c_0101_5^9 - 463738826765342732967/20489136075747757837*c_0101_5^8 + 172932680815746613847/20489136075747757837*c_0101_5^7 - 816186906216640848510/20489136075747757837*c_0101_5^6 + 992500475186089814574/20489136075747757837*c_0101_5^5 + 1881963249696181303268/20489136075747757837*c_0101_5^4 + 780737395306867738953/20489136075747757837*c_0101_5^3 - 65905960886246321005/20489136075747757837*c_0101_5^2 + 61649260475359270293/20489136075747757837*c_0101_5 - 13115269022120642234/20489136075747757837, c_0101_5^14 + 32*c_0101_5^13 - 76*c_0101_5^12 + 69*c_0101_5^11 - 53*c_0101_5^10 - 83*c_0101_5^9 + 20*c_0101_5^8 - 148*c_0101_5^7 + 166*c_0101_5^6 + 346*c_0101_5^5 + 179*c_0101_5^4 + 21*c_0101_5^3 + 21*c_0101_5^2 - 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB