Magma V2.19-8 Tue Aug 20 2013 16:18:41 on localhost [Seed = 2934911906] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2852 geometric_solution 6.07619945 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 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 0.714620963985 1.157637362886 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 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 0.373856737405 1.424634029475 3 0 4 5 2310 0132 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 -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 0.373856737405 1.424634029475 3 1 2 3 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145274085824 0.563676729585 2 6 1 6 2310 0132 0132 2310 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 0.679177430126 1.018988170722 5 5 2 1 1302 2031 0132 0132 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 1 -1 0 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120103261164 0.581807072827 4 4 6 6 3201 0132 2031 1302 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 0.490857075297 0.163674479607 ==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' : negation(d['1']), 's_2_0' : negation(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' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], '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_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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 554297831/11253886*c_0110_6^8 + 2220284410/5626943*c_0110_6^7 + 1974924506/5626943*c_0110_6^6 - 33049033931/11253886*c_0110_6^5 - 46762023883/11253886*c_0110_6^4 + 19658701144/5626943*c_0110_6^3 + 3993712447/5626943*c_0110_6^2 - 9080739128/5626943*c_0110_6 + 2473324975/11253886, c_0011_0 - 1, c_0011_4 - 65835/803849*c_0110_6^8 - 574142/803849*c_0110_6^7 - 861070/803849*c_0110_6^6 + 3443010/803849*c_0110_6^5 + 8113203/803849*c_0110_6^4 + 144129/803849*c_0110_6^3 - 1767636/803849*c_0110_6^2 + 1798249/803849*c_0110_6 - 107872/803849, c_0011_5 - 201122/803849*c_0110_6^8 - 1639366/803849*c_0110_6^7 - 1669403/803849*c_0110_6^6 + 11722407/803849*c_0110_6^5 + 18679176/803849*c_0110_6^4 - 11184058/803849*c_0110_6^3 - 4570679/803849*c_0110_6^2 + 4807375/803849*c_0110_6 - 17075/803849, c_0101_0 + 69023/803849*c_0110_6^8 + 609832/803849*c_0110_6^7 + 928835/803849*c_0110_6^6 - 3834827/803849*c_0110_6^5 - 9262234/803849*c_0110_6^4 + 858822/803849*c_0110_6^3 + 5785334/803849*c_0110_6^2 - 1347438/803849*c_0110_6 - 429446/803849, c_0101_1 + 27202/803849*c_0110_6^8 + 225859/803849*c_0110_6^7 + 277148/803849*c_0110_6^6 - 1393111/803849*c_0110_6^5 - 2549939/803849*c_0110_6^4 + 148654/803849*c_0110_6^3 - 981954/803849*c_0110_6^2 - 434375/803849*c_0110_6 - 467653/803849, c_0101_2 - 27202/803849*c_0110_6^8 - 225859/803849*c_0110_6^7 - 277148/803849*c_0110_6^6 + 1393111/803849*c_0110_6^5 + 2549939/803849*c_0110_6^4 - 148654/803849*c_0110_6^3 + 981954/803849*c_0110_6^2 + 434375/803849*c_0110_6 - 336196/803849, c_0110_6^9 + 8*c_0110_6^8 + 7*c_0110_6^7 - 60*c_0110_6^6 - 84*c_0110_6^5 + 74*c_0110_6^4 + 17*c_0110_6^3 - 35*c_0110_6^2 + 4*c_0110_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 554297831/11253886*c_0110_6^8 - 2220284410/5626943*c_0110_6^7 - 1974924506/5626943*c_0110_6^6 + 33049033931/11253886*c_0110_6^5 + 46762023883/11253886*c_0110_6^4 - 19658701144/5626943*c_0110_6^3 - 3993712447/5626943*c_0110_6^2 + 9080739128/5626943*c_0110_6 - 2473324975/11253886, c_0011_0 - 1, c_0011_4 + 65835/803849*c_0110_6^8 + 574142/803849*c_0110_6^7 + 861070/803849*c_0110_6^6 - 3443010/803849*c_0110_6^5 - 8113203/803849*c_0110_6^4 - 144129/803849*c_0110_6^3 + 1767636/803849*c_0110_6^2 - 1798249/803849*c_0110_6 + 107872/803849, c_0011_5 + 201122/803849*c_0110_6^8 + 1639366/803849*c_0110_6^7 + 1669403/803849*c_0110_6^6 - 11722407/803849*c_0110_6^5 - 18679176/803849*c_0110_6^4 + 11184058/803849*c_0110_6^3 + 4570679/803849*c_0110_6^2 - 4807375/803849*c_0110_6 + 17075/803849, c_0101_0 + 69023/803849*c_0110_6^8 + 609832/803849*c_0110_6^7 + 928835/803849*c_0110_6^6 - 3834827/803849*c_0110_6^5 - 9262234/803849*c_0110_6^4 + 858822/803849*c_0110_6^3 + 5785334/803849*c_0110_6^2 - 1347438/803849*c_0110_6 - 429446/803849, c_0101_1 + 27202/803849*c_0110_6^8 + 225859/803849*c_0110_6^7 + 277148/803849*c_0110_6^6 - 1393111/803849*c_0110_6^5 - 2549939/803849*c_0110_6^4 + 148654/803849*c_0110_6^3 - 981954/803849*c_0110_6^2 - 434375/803849*c_0110_6 - 467653/803849, c_0101_2 + 27202/803849*c_0110_6^8 + 225859/803849*c_0110_6^7 + 277148/803849*c_0110_6^6 - 1393111/803849*c_0110_6^5 - 2549939/803849*c_0110_6^4 + 148654/803849*c_0110_6^3 - 981954/803849*c_0110_6^2 - 434375/803849*c_0110_6 + 336196/803849, c_0110_6^9 + 8*c_0110_6^8 + 7*c_0110_6^7 - 60*c_0110_6^6 - 84*c_0110_6^5 + 74*c_0110_6^4 + 17*c_0110_6^3 - 35*c_0110_6^2 + 4*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB