Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 2833855966] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3035 geometric_solution 6.20518046 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.808718722486 1.118060048161 0 5 3 5 0132 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729188062266 0.609218581872 6 0 6 6 0132 0132 3120 2103 0 1 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 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 0.198917512597 0.986903725498 1 4 6 0 2031 1302 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575271564117 0.587190431327 4 4 0 3 1302 2031 0132 2031 0 0 0 0 0 -1 0 1 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 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 0.652076262796 1.073179922745 1 1 5 5 3201 0132 2031 1302 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 0.554891399128 0.146543551013 2 3 2 2 0132 0213 3120 2103 0 1 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 -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 0.198917512597 0.986903725498 ==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' : negation(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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : negation(d['c_0110_4'])})} 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_3, c_0101_0, c_0101_2, c_0110_4, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 273164925/68776*c_1001_0^9 + 177571145/8597*c_1001_0^8 - 1065788311/68776*c_1001_0^7 - 3335837735/68776*c_1001_0^6 + 2682891923/34388*c_1001_0^5 - 1724514805/34388*c_1001_0^4 + 515477657/68776*c_1001_0^3 + 365580789/34388*c_1001_0^2 - 384531739/68776*c_1001_0 + 48952763/68776, c_0011_0 - 1, c_0011_3 - 2435257/17194*c_1001_0^9 + 6363141/8597*c_1001_0^8 - 4880083/8597*c_1001_0^7 - 14894907/8597*c_1001_0^6 + 48664809/17194*c_1001_0^5 - 31138533/17194*c_1001_0^4 + 4631093/17194*c_1001_0^3 + 6718065/17194*c_1001_0^2 - 3525005/17194*c_1001_0 + 211054/8597, c_0101_0 - 4764419/34388*c_1001_0^9 + 12482453/17194*c_1001_0^8 - 19455681/34388*c_1001_0^7 - 57977189/34388*c_1001_0^6 + 48038677/17194*c_1001_0^5 - 15593284/8597*c_1001_0^4 + 9823657/34388*c_1001_0^3 + 3257421/8597*c_1001_0^2 - 7073299/34388*c_1001_0 + 875903/34388, c_0101_2 - 1, c_0110_4 + c_1001_0 - 1, c_0110_5 + 1007435/17194*c_1001_0^9 - 4815275/17194*c_1001_0^8 + 963983/8597*c_1001_0^7 + 13009457/17194*c_1001_0^6 - 14298921/17194*c_1001_0^5 + 7010159/17194*c_1001_0^4 + 398609/8597*c_1001_0^3 - 1139521/8597*c_1001_0^2 + 512343/17194*c_1001_0 - 5107/8597, c_1001_0^10 - 63/11*c_1001_0^9 + 73/11*c_1001_0^8 + 112/11*c_1001_0^7 - 287/11*c_1001_0^6 + 252/11*c_1001_0^5 - 93/11*c_1001_0^4 - 19/11*c_1001_0^3 + 31/11*c_1001_0^2 - 10/11*c_1001_0 + 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB