Magma V2.19-8 Tue Aug 20 2013 23:29:40 on localhost [Seed = 3465062557] Type ? for help. Type -D to quit. Loading file "K11n12__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n12 geometric_solution 8.07031336 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.875118095282 0.521663448700 0 5 4 5 0132 0132 1230 0213 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 -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 0.392681954689 0.928170163030 6 0 6 7 0132 0132 2310 0132 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.553232395317 1.249627153436 4 7 4 0 1230 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 -1 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 0.996747492338 0.824015418434 3 3 0 1 2103 3012 0132 3012 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 -1 1 0 -1 0 0 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 0.745154182017 0.714905281419 7 1 8 1 3201 0132 0132 0213 0 0 0 0 0 0 0 0 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 0 1 -1 1 0 0 -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 0.392681954689 0.928170163030 2 2 8 8 0132 3201 3012 1230 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373181699688 0.403164912927 8 3 2 5 2031 0132 0132 2310 0 0 0 0 0 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 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149813353701 0.416505948255 6 6 7 5 3012 1230 1302 0132 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 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 0.515444833594 0.534528347453 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0101_5']), 's_2_8' : 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_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_0110_4']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : d['c_0011_0'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_8' : d['c_0011_3'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_1, c_0101_5, c_0101_6, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 55061308643865573894623/103117443781390150740643*c_1001_0^11 + 882480038396032674678629/103117443781390150740643*c_1001_0^10 - 12270066174358390160482019/206234887562780301481286*c_1001_0^9 + 23836311052186715654001012/103117443781390150740643*c_1001_0^8 - 62727478845948886079337548/103117443781390150740643*c_1001_0^7 + 117639238285736031589390686/103117443781390150740643*c_1001_0^6 - 171228266542452691080504371/103117443781390150740643*c_1001_0^5 + 213253122263290802704178348/103117443781390150740643*c_1001_0^4 - 483274321407029944700725791/206234887562780301481286*c_1001_0^3 + 495718748350894897519786331/206234887562780301481286*c_1001_0^2 - 169066217794335598122616652/103117443781390150740643*c_1001_0 + 123785848108117663500488959/206234887562780301481286, c_0011_0 - 1, c_0011_3 - 310959364493037/108092849553487633*c_1001_0^11 + 5737453893733536/108092849553487633*c_1001_0^10 - 92943603632175845/216185699106975266*c_1001_0^9 + 213600382050338684/108092849553487633*c_1001_0^8 - 639281547310944463/108092849553487633*c_1001_0^7 + 1338488333986611248/108092849553487633*c_1001_0^6 - 2075938037068443178/108092849553487633*c_1001_0^5 + 2626022799149121650/108092849553487633*c_1001_0^4 - 6119457463743359197/216185699106975266*c_1001_0^3 + 6599462315983057127/216185699106975266*c_1001_0^2 - 2701921650163731701/108092849553487633*c_1001_0 + 2150680508524924261/216185699106975266, c_0011_4 - 537165783822189/216185699106975266*c_1001_0^11 + 9090318282468849/216185699106975266*c_1001_0^10 - 33164629845620102/108092849553487633*c_1001_0^9 + 267724252190891849/216185699106975266*c_1001_0^8 - 352232591333517195/108092849553487633*c_1001_0^7 + 1310642022482193283/216185699106975266*c_1001_0^6 - 1846117770971462983/216185699106975266*c_1001_0^5 + 2259164566281908161/216185699106975266*c_1001_0^4 - 2545823100689798779/216185699106975266*c_1001_0^3 + 2481392921089336395/216185699106975266*c_1001_0^2 - 821157330592792054/108092849553487633*c_1001_0 + 182720221698732670/108092849553487633, c_0011_8 + 841882675807623/216185699106975266*c_1001_0^11 - 13945393066226733/216185699106975266*c_1001_0^10 + 49866964528903254/108092849553487633*c_1001_0^9 - 395760578920924675/216185699106975266*c_1001_0^8 + 519638620048156884/108092849553487633*c_1001_0^7 - 1945543349515785597/216185699106975266*c_1001_0^6 + 2782013058344868529/216185699106975266*c_1001_0^5 - 3454572540492106781/216185699106975266*c_1001_0^4 + 3927597154713683591/216185699106975266*c_1001_0^3 - 3975798831100402837/216185699106975266*c_1001_0^2 + 1389467428694042885/108092849553487633*c_1001_0 - 285979205815091673/108092849553487633, c_0101_1 + 171480898523692/108092849553487633*c_1001_0^11 - 5803002252385691/216185699106975266*c_1001_0^10 + 21383877732261324/108092849553487633*c_1001_0^9 - 88853372527096148/108092849553487633*c_1001_0^8 + 494135067589335877/216185699106975266*c_1001_0^7 - 490899033996979999/108092849553487633*c_1001_0^6 + 1449399802046526851/216185699106975266*c_1001_0^5 - 1767779471311490637/216185699106975266*c_1001_0^4 + 970320017337896023/108092849553487633*c_1001_0^3 - 1026636902786676050/108092849553487633*c_1001_0^2 + 1567179643388609467/216185699106975266*c_1001_0 - 263453696510495897/216185699106975266, c_0101_5 - 369671609357122/108092849553487633*c_1001_0^11 + 12520376974369165/216185699106975266*c_1001_0^10 - 45980847919397301/108092849553487633*c_1001_0^9 + 376637163228162903/216185699106975266*c_1001_0^8 - 1012471872792910283/216185699106975266*c_1001_0^7 + 1915287948364292505/216185699106975266*c_1001_0^6 - 2731329920789949009/216185699106975266*c_1001_0^5 + 1670094802665004796/108092849553487633*c_1001_0^4 - 1916781008147596354/108092849553487633*c_1001_0^3 + 1967007020016494007/108092849553487633*c_1001_0^2 - 1321935486990258554/108092849553487633*c_1001_0 + 458745347580793751/216185699106975266, c_0101_6 - 69307552150655/108092849553487633*c_1001_0^11 + 2417641327156255/216185699106975266*c_1001_0^10 - 18716385751569175/216185699106975266*c_1001_0^9 + 83722504425685241/216185699106975266*c_1001_0^8 - 127135095493400406/108092849553487633*c_1001_0^7 + 557128694495477107/216185699106975266*c_1001_0^6 - 465662259947645597/108092849553487633*c_1001_0^5 + 622244840714793996/108092849553487633*c_1001_0^4 - 717486512996382901/108092849553487633*c_1001_0^3 + 1555651868379219323/216185699106975266*c_1001_0^2 - 724433919793764282/108092849553487633*c_1001_0 + 882006816789197663/216185699106975266, c_0110_4 - 35959900771057/216185699106975266*c_1001_0^11 + 485934339354849/216185699106975266*c_1001_0^10 - 1694866510416447/216185699106975266*c_1001_0^9 - 3501736480546111/108092849553487633*c_1001_0^8 + 36469456523493053/108092849553487633*c_1001_0^7 - 126979045233938587/108092849553487633*c_1001_0^6 + 531810893928807059/216185699106975266*c_1001_0^5 - 374273751276325316/108092849553487633*c_1001_0^4 + 455956160699681466/108092849553487633*c_1001_0^3 - 569261283595325614/108092849553487633*c_1001_0^2 + 1184324644352647821/216185699106975266*c_1001_0 - 779594268331277021/216185699106975266, c_1001_0^12 - 18*c_1001_0^11 + 143*c_1001_0^10 - 652*c_1001_0^9 + 1988*c_1001_0^8 - 4364*c_1001_0^7 + 7280*c_1001_0^6 - 9936*c_1001_0^5 + 11941*c_1001_0^4 - 13056*c_1001_0^3 + 11833*c_1001_0^2 - 7092*c_1001_0 + 2183 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB