Magma V2.19-8 Tue Aug 20 2013 16:16:25 on localhost [Seed = 240095971] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0689 geometric_solution 4.65271363 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 1023 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 2.402231134421 0.182542790374 0 2 2 0 0132 0132 3201 1023 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.823826265902 0.452064839187 1 1 3 3 2310 0132 0132 3201 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 0 0 0 -1 0 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 0 0.231964077595 0.238100738668 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 -1 1 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 1 -1 0 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 1.085292170095 0.968998647442 3 6 5 5 0132 0132 0213 2310 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 1 -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 0.372176926299 0.728012978390 4 4 6 3 3201 0213 1023 0132 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 0 1 1 0 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 0.372176926299 0.728012978390 6 4 5 6 3012 0132 1023 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 1.443281087595 1.088994413426 ==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' : d['1'], 's_2_0' : negation(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' : 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_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 34*c_0101_6^7 - 131*c_0101_6^5 + 287*c_0101_6^3 - 230*c_0101_6, c_0011_0 - 1, c_0011_3 - 1/2*c_0101_6^6 + 3/2*c_0101_6^4 - 7/2*c_0101_6^2 + 1, c_0011_5 - 1/2*c_0101_6^7 + c_0101_6^5 - 2*c_0101_6^3 - 1/2*c_0101_6, c_0101_0 + c_0101_6^7 - 7/2*c_0101_6^5 + 15/2*c_0101_6^3 - 9/2*c_0101_6, c_0101_1 - 1/2*c_0101_6^6 + c_0101_6^4 - 2*c_0101_6^2 - 1/2, c_0101_3 - 1/2*c_0101_6^6 + c_0101_6^4 - 2*c_0101_6^2 + 1/2, c_0101_6^8 - 4*c_0101_6^6 + 9*c_0101_6^4 - 8*c_0101_6^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1573053325675560/25192678970177*c_0101_6^17 - 106938475011186307/25192678970177*c_0101_6^15 + 1136897676331166983/25192678970177*c_0101_6^13 - 4934872656478200949/25192678970177*c_0101_6^11 + 9208961316280421475/25192678970177*c_0101_6^9 - 7998736196071974501/25192678970177*c_0101_6^7 + 3257531161026209022/25192678970177*c_0101_6^5 - 617914734384446695/25192678970177*c_0101_6^3 + 54156576647873537/25192678970177*c_0101_6, c_0011_0 - 1, c_0011_3 + 2412673165142/25192678970177*c_0101_6^16 - 163283003463604/25192678970177*c_0101_6^14 + 1694085974463130/25192678970177*c_0101_6^12 - 7056619593271301/25192678970177*c_0101_6^10 + 12012127383630758/25192678970177*c_0101_6^8 - 8767549776861107/25192678970177*c_0101_6^6 + 2609957306854148/25192678970177*c_0101_6^4 - 324431688945800/25192678970177*c_0101_6^2 + 17347312304351/25192678970177, c_0011_5 - 4341352622225/25192678970177*c_0101_6^17 + 296002149950550/25192678970177*c_0101_6^15 - 3196209619654819/25192678970177*c_0101_6^13 + 14207187713143791/25192678970177*c_0101_6^11 - 27730542484453466/25192678970177*c_0101_6^9 + 25528237915228140/25192678970177*c_0101_6^7 - 10921768100239554/25192678970177*c_0101_6^5 + 1970193375919747/25192678970177*c_0101_6^3 - 142488463036936/25192678970177*c_0101_6, c_0101_0 - 3873255045451/25192678970177*c_0101_6^17 + 264282308663089/25192678970177*c_0101_6^15 - 2865097318879151/25192678970177*c_0101_6^13 + 12829377921005599/25192678970177*c_0101_6^11 - 25463437388787961/25192678970177*c_0101_6^9 + 24247158090762973/25192678970177*c_0101_6^7 - 10885320440654820/25192678970177*c_0101_6^5 + 1980472485064468/25192678970177*c_0101_6^3 - 100013468911137/25192678970177*c_0101_6, c_0101_1 + 1116643821263/25192678970177*c_0101_6^16 - 75755795802967/25192678970177*c_0101_6^14 + 796886884513465/25192678970177*c_0101_6^12 - 3418049833469613/25192678970177*c_0101_6^10 + 6309330482351720/25192678970177*c_0101_6^8 - 5704558651591768/25192678970177*c_0101_6^6 + 2634204408946115/25192678970177*c_0101_6^4 - 556025702289314/25192678970177*c_0101_6^2 + 37206898124758/25192678970177, c_0101_3 + 2168834560981/25192678970177*c_0101_6^16 - 147247822257656/25192678970177*c_0101_6^14 + 1554287556241760/25192678970177*c_0101_6^12 - 6658125615881538/25192678970177*c_0101_6^10 + 12034236878735832/25192678970177*c_0101_6^8 - 9714856756982315/25192678970177*c_0101_6^6 + 3376408246292820/25192678970177*c_0101_6^4 - 475161684849499/25192678970177*c_0101_6^2 + 19250861056814/25192678970177, c_0101_6^18 - 68*c_0101_6^16 + 724*c_0101_6^14 - 3151*c_0101_6^12 + 5917*c_0101_6^10 - 5211*c_0101_6^8 + 2189*c_0101_6^6 - 443*c_0101_6^4 + 44*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB