Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 1663238046] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0518 geometric_solution 4.52860865 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286947237744 0.084058492132 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.810242062064 0.259690067395 3 0 3 0 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.546098553424 1.335587552564 2 2 4 5 0132 3201 0132 0132 0 0 0 0 0 -1 1 0 0 0 1 -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 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 -0.783541816247 1.402273214499 6 5 5 3 0132 2031 1230 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600704669902 0.680513698801 4 6 3 4 1302 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.600704669902 0.680513698801 4 6 5 6 0132 2310 2310 3201 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 -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 0.770877055729 0.423750669314 ==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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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_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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : 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_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1708662769959352/68596445845593*c_0110_5^17 - 807320860254685/7621827316177*c_0110_5^16 - 8163241948705481/68596445845593*c_0110_5^15 + 58964598016386043/68596445845593*c_0110_5^14 - 46708079708815/22865481948531*c_0110_5^13 - 218541786417845930/68596445845593*c_0110_5^12 + 60367383442491254/22865481948531*c_0110_5^11 + 421695451264571960/68596445845593*c_0110_5^10 - 663147084778478440/68596445845593*c_0110_5^9 - 97983437320291870/22865481948531*c_0110_5^8 + 956602783165445971/68596445845593*c_0110_5^7 - 233032429081253657/68596445845593*c_0110_5^6 - 606768996003033197/68596445845593*c_0110_5^5 + 409053707962907768/68596445845593*c_0110_5^4 + 143400547009990379/68596445845593*c_0110_5^3 - 16703636489312091/7621827316177*c_0110_5^2 + 218668919876015/22865481948531*c_0110_5 + 9629109060912532/68596445845593, c_0011_0 - 1, c_0011_2 - 13223768064754/68596445845593*c_0110_5^17 + 45365232871156/68596445845593*c_0110_5^16 + 106943218683670/68596445845593*c_0110_5^15 - 395624476241588/68596445845593*c_0110_5^14 - 353791694026504/68596445845593*c_0110_5^13 + 536293990520351/22865481948531*c_0110_5^12 - 24507338058554/22865481948531*c_0110_5^11 - 4057605328039460/68596445845593*c_0110_5^10 + 798192757396631/22865481948531*c_0110_5^9 + 619887243261163/7621827316177*c_0110_5^8 - 4832175276580669/68596445845593*c_0110_5^7 - 336013305041449/7621827316177*c_0110_5^6 + 4698788256103985/68596445845593*c_0110_5^5 + 132600368672039/68596445845593*c_0110_5^4 - 2254173389285452/68596445845593*c_0110_5^3 - 33833894063468/68596445845593*c_0110_5^2 + 255828205905161/68596445845593*c_0110_5 + 30592398122840/22865481948531, c_0011_4 - 2244887710103/22865481948531*c_0110_5^17 + 8429494730582/22865481948531*c_0110_5^16 + 17025821653367/22865481948531*c_0110_5^15 - 78954611550883/22865481948531*c_0110_5^14 - 43843223548286/22865481948531*c_0110_5^13 + 112443131875391/7621827316177*c_0110_5^12 - 35341141452672/7621827316177*c_0110_5^11 - 836871563913559/22865481948531*c_0110_5^10 + 259291322568483/7621827316177*c_0110_5^9 + 354951857925205/7621827316177*c_0110_5^8 - 1589568018074336/22865481948531*c_0110_5^7 - 108489565382855/7621827316177*c_0110_5^6 + 1469322230003395/22865481948531*c_0110_5^5 - 494172978638618/22865481948531*c_0110_5^4 - 562461528692855/22865481948531*c_0110_5^3 + 321403074140765/22865481948531*c_0110_5^2 + 42426793737172/22865481948531*c_0110_5 - 3764322547716/7621827316177, c_0101_0 + 3252279190073/7621827316177*c_0110_5^17 - 115928849066119/68596445845593*c_0110_5^16 - 169531930308275/68596445845593*c_0110_5^15 + 944909824710934/68596445845593*c_0110_5^14 + 247745930362657/68596445845593*c_0110_5^13 - 3545577568066174/68596445845593*c_0110_5^12 + 235427108780794/7621827316177*c_0110_5^11 + 2458409590541443/22865481948531*c_0110_5^10 - 8983039693347968/68596445845593*c_0110_5^9 - 2221846672402685/22865481948531*c_0110_5^8 + 1490549185784428/7621827316177*c_0110_5^7 - 1029498927028570/68596445845593*c_0110_5^6 - 3069289941844193/22865481948531*c_0110_5^5 + 4350749197346789/68596445845593*c_0110_5^4 + 2730829722351194/68596445845593*c_0110_5^3 - 1437413630502526/68596445845593*c_0110_5^2 - 146320669281167/68596445845593*c_0110_5 + 46839610566593/68596445845593, c_0101_1 + 34851974064457/68596445845593*c_0110_5^17 - 147308479213532/68596445845593*c_0110_5^16 - 56773929272324/22865481948531*c_0110_5^15 + 399154114465613/22865481948531*c_0110_5^14 + 31874978556308/68596445845593*c_0110_5^13 - 4451850767961907/68596445845593*c_0110_5^12 + 1183378055522465/22865481948531*c_0110_5^11 + 8682744733404338/68596445845593*c_0110_5^10 - 13198111290768104/68596445845593*c_0110_5^9 - 2128654525515221/22865481948531*c_0110_5^8 + 19125334115179459/68596445845593*c_0110_5^7 - 4046224245556603/68596445845593*c_0110_5^6 - 12229565221600781/68596445845593*c_0110_5^5 + 858575491021695/7621827316177*c_0110_5^4 + 1015219572903071/22865481948531*c_0110_5^3 - 2723630387014166/68596445845593*c_0110_5^2 - 86276559374020/68596445845593*c_0110_5 + 109989026206694/68596445845593, c_0101_4 + 531384411359/68596445845593*c_0110_5^17 + 982199392949/22865481948531*c_0110_5^16 - 25403168917504/68596445845593*c_0110_5^15 - 4033398934849/68596445845593*c_0110_5^14 + 61238359283114/22865481948531*c_0110_5^13 - 84903466523656/68596445845593*c_0110_5^12 - 204867430793717/22865481948531*c_0110_5^11 + 731177186517169/68596445845593*c_0110_5^10 + 1025758439470246/68596445845593*c_0110_5^9 - 728567709390488/22865481948531*c_0110_5^8 - 461590381478584/68596445845593*c_0110_5^7 + 2769064799155412/68596445845593*c_0110_5^6 - 1009593255652156/68596445845593*c_0110_5^5 - 1449387140199173/68596445845593*c_0110_5^4 + 1239424527440320/68596445845593*c_0110_5^3 + 97215057312785/22865481948531*c_0110_5^2 - 95085553656406/22865481948531*c_0110_5 - 17764519477678/68596445845593, c_0110_5^18 - 4*c_0110_5^17 - 6*c_0110_5^16 + 34*c_0110_5^15 + 9*c_0110_5^14 - 133*c_0110_5^13 + 76*c_0110_5^12 + 290*c_0110_5^11 - 348*c_0110_5^10 - 292*c_0110_5^9 + 577*c_0110_5^8 - 3*c_0110_5^7 - 451*c_0110_5^6 + 196*c_0110_5^5 + 158*c_0110_5^4 - 96*c_0110_5^3 - 16*c_0110_5^2 + 8*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB