Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 307465943] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0273 geometric_solution 4.32029504 oriented_manifold CS_known 0.0000000000000005 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 0.548159764097 0.073123448960 0 1 0 1 0132 1302 1023 2031 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 0.596612798114 0.019318189205 3 0 4 0 0132 0132 0132 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 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 -0.456445926535 0.869604046847 2 4 5 6 0132 3201 0132 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 0 0 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.220710343238 1.533639402833 5 6 3 2 2103 2031 2310 0132 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 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 0 0 0 1.220710343238 1.533639402833 6 6 4 3 1230 0321 2103 0132 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 -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 1.105799948466 0.833891449043 4 5 3 5 1302 3012 0132 0321 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 1 -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 0.423512604349 0.434733163427 ==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' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_4']), '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' : d['c_0011_6'], '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' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_6']})} 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_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3422155/162592*c_0101_4^9 - 25860501/162592*c_0101_4^8 - 84450679/162592*c_0101_4^7 - 55217701/81296*c_0101_4^6 - 175845457/162592*c_0101_4^5 - 19298397/20324*c_0101_4^4 - 60282453/81296*c_0101_4^3 - 63326289/162592*c_0101_4^2 - 28840791/162592*c_0101_4 - 8293811/162592, c_0011_0 - 1, c_0011_4 + 974/5081*c_0101_4^9 + 7687/5081*c_0101_4^8 + 26845/5081*c_0101_4^7 + 41299/5081*c_0101_4^6 + 63798/5081*c_0101_4^5 + 57191/5081*c_0101_4^4 + 55951/5081*c_0101_4^3 + 21744/5081*c_0101_4^2 + 13386/5081*c_0101_4 + 1970/5081, c_0011_5 + c_0101_4, c_0011_6 - 996/5081*c_0101_4^9 - 7099/5081*c_0101_4^8 - 20628/5081*c_0101_4^7 - 16566/5081*c_0101_4^6 - 22953/5081*c_0101_4^5 - 11001/5081*c_0101_4^4 + 6762/5081*c_0101_4^3 + 12685/5081*c_0101_4^2 + 3610/5081*c_0101_4 + 3536/5081, c_0101_0 - 11314/5081*c_0101_4^9 - 86997/5081*c_0101_4^8 - 290642/5081*c_0101_4^7 - 402868/5081*c_0101_4^6 - 631738/5081*c_0101_4^5 - 587428/5081*c_0101_4^4 - 462202/5081*c_0101_4^3 - 251744/5081*c_0101_4^2 - 114218/5081*c_0101_4 - 30865/5081, c_0101_1 - 7993/5081*c_0101_4^9 - 60281/5081*c_0101_4^8 - 194681/5081*c_0101_4^7 - 243226/5081*c_0101_4^6 - 372090/5081*c_0101_4^5 - 321903/5081*c_0101_4^4 - 221302/5081*c_0101_4^3 - 114139/5081*c_0101_4^2 - 50193/5081*c_0101_4 - 17189/5081, c_0101_4^10 + 8*c_0101_4^9 + 28*c_0101_4^8 + 43*c_0101_4^7 + 65*c_0101_4^6 + 67*c_0101_4^5 + 54*c_0101_4^4 + 33*c_0101_4^3 + 16*c_0101_4^2 + 6*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB