Magma V2.19-8 Tue Aug 20 2013 16:18:54 on localhost [Seed = 71670130] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3067 geometric_solution 6.23337808 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 1 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 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 0.669745880604 1.034713810213 0 3 5 4 0132 0132 0132 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 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 0.714845293753 0.768912711664 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 0 1 -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 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 0.714845293753 0.768912711664 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239932562404 0.680463707653 2 6 1 6 2310 0132 0132 1023 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 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 0.989910680024 0.517119912895 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 -1 1 0 -1 0 1 0 1 -1 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 0.800564321327 0.739261041064 6 4 6 4 2031 0132 1302 1023 0 0 0 0 0 0 -1 1 1 0 -1 0 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 1 -1 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594880256892 0.197924383854 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], '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_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_3'], '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' : negation(d['c_0011_4']), '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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_3'], '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' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), '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_0101_3'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_3'], '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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 10899750351233113688/39257370465180875*c_0110_6^21 + 366637510991947623574/39257370465180875*c_0110_6^19 - 4362020152548102224869/39257370465180875*c_0110_6^17 + 24330484664798063751619/39257370465180875*c_0110_6^15 - 2611318830834670197566/1570294818607235*c_0110_6^13 + 66451370603079639091843/39257370465180875*c_0110_6^11 - 25542017964182042340593/39257370465180875*c_0110_6^9 + 1680738157047845031347/39257370465180875*c_0110_6^7 + 493898006732598541713/39257370465180875*c_0110_6^5 + 12340012455616620004/5608195780740125*c_0110_6^3 - 18847864752496554841/39257370465180875*c_0110_6, c_0011_0 - 1, c_0011_4 - 35474927008768096/5608195780740125*c_0110_6^20 + 1192083678464396208/5608195780740125*c_0110_6^18 - 14157297642469376898/5608195780740125*c_0110_6^16 + 78729812929560730423/5608195780740125*c_0110_6^14 - 8401913071185375113/224327831229605*c_0110_6^12 + 210424230370388896481/5608195780740125*c_0110_6^10 - 79121717941022169881/5608195780740125*c_0110_6^8 + 5326628313710506074/5608195780740125*c_0110_6^6 + 1295895466852979746/5608195780740125*c_0110_6^4 + 236239744416521301/5608195780740125*c_0110_6^2 - 60368018564033497/5608195780740125, c_0101_0 - 2755897834118868/5608195780740125*c_0110_6^21 + 91399457207828779/5608195780740125*c_0110_6^19 - 1059768465100306974/5608195780740125*c_0110_6^17 + 5652363559150311924/5608195780740125*c_0110_6^15 - 2769825604160836043/1121639156148025*c_0110_6^13 + 10323962589019849593/5608195780740125*c_0110_6^11 - 1725919308642304573/5608195780740125*c_0110_6^9 - 301784279724499893/5608195780740125*c_0110_6^7 - 48131050076394937/5608195780740125*c_0110_6^5 - 13508998110156942/5608195780740125*c_0110_6^3 + 14556555193966159/5608195780740125*c_0110_6, c_0101_1 - 3451591851860704/5608195780740125*c_0110_6^20 + 115618997123647152/5608195780740125*c_0110_6^18 - 1365177928458849562/5608195780740125*c_0110_6^16 + 7515358442426934987/5608195780740125*c_0110_6^14 - 3928665717090305632/1121639156148025*c_0110_6^12 + 18429468764236818374/5608195780740125*c_0110_6^10 - 5931806119933871694/5608195780740125*c_0110_6^8 + 285634392153973886/5608195780740125*c_0110_6^6 - 63889887007500316/5608195780740125*c_0110_6^4 + 37325870706800224/5608195780740125*c_0110_6^2 - 1220174725016163/5608195780740125, c_0101_2 - 5559099271381288/1121639156148025*c_0110_6^20 + 186926273962974354/1121639156148025*c_0110_6^18 - 2222541589429170689/1121639156148025*c_0110_6^16 + 12384344328011376459/1121639156148025*c_0110_6^14 - 1326780628832303371/44865566245921*c_0110_6^12 + 33614309363931793433/1121639156148025*c_0110_6^10 - 12928693808266138913/1121639156148025*c_0110_6^8 + 957766248542002087/1121639156148025*c_0110_6^6 + 219672494976387333/1121639156148025*c_0110_6^4 + 34850586476357768/1121639156148025*c_0110_6^2 - 9989482878069316/1121639156148025, c_0101_3 - 18764988665607436/1121639156148025*c_0110_6^21 + 630301616196946209/1121639156148025*c_0110_6^19 - 7479797922587463349/1121639156148025*c_0110_6^17 + 41541884129400195889/1121639156148025*c_0110_6^15 - 110555777891541424916/1121639156148025*c_0110_6^13 + 109951110910663627069/1121639156148025*c_0110_6^11 - 40831636934326084531/1121639156148025*c_0110_6^9 + 527820316822561261/224327831229605*c_0110_6^7 + 645127366225184009/1121639156148025*c_0110_6^5 + 133925871603027791/1121639156148025*c_0110_6^3 - 31848080349633688/1121639156148025*c_0110_6, c_0110_6^22 - 135/4*c_0110_6^20 + 404*c_0110_6^18 - 9111/4*c_0110_6^16 + 6246*c_0110_6^14 - 13597/2*c_0110_6^12 + 3098*c_0110_6^10 - 1899/4*c_0110_6^8 - 31/2*c_0110_6^6 - 3/2*c_0110_6^4 + 11/4*c_0110_6^2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB