Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 324177871] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1783 geometric_solution 5.46085470 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.635085125259 0.287533382533 0 2 2 0 3201 0132 1023 0132 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 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 1.141964887664 0.613923537743 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 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 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 0.394925631992 0.307131937161 2 5 6 4 0132 0132 0132 0321 0 0 0 0 0 0 -1 1 -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 -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 0.982681773789 0.925156572375 6 3 2 5 0132 0321 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982681773789 0.925156572375 5 3 5 4 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538021343647 0.489280511573 4 6 6 3 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 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 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 0.832772845511 0.642642122798 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_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_1, c_0011_4, c_0101_0, c_0101_3, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 76190147143674424/1317231701821415*c_0110_5^21 + 2360294332695469902/1317231701821415*c_0110_5^19 - 27228204225566505831/1317231701821415*c_0110_5^17 + 156049584439855709727/1317231701821415*c_0110_5^15 - 487400071585370357401/1317231701821415*c_0110_5^13 + 4274590239566517916/6686455339195*c_0110_5^11 - 162036722823443600337/263446340364283*c_0110_5^9 + 90147155187635654380/263446340364283*c_0110_5^7 - 35762768667156378084/263446340364283*c_0110_5^5 + 62363726683577021741/1317231701821415*c_0110_5^3 - 9823633995953802478/1317231701821415*c_0110_5, c_0011_0 - 1, c_0011_1 + 75722112462374/1317231701821415*c_0110_5^20 - 2241808218176522/1317231701821415*c_0110_5^18 + 23960925473391796/1317231701821415*c_0110_5^16 - 121548540205346137/1317231701821415*c_0110_5^14 + 310600562327313816/1317231701821415*c_0110_5^12 - 1902656782518356/6686455339195*c_0110_5^10 + 39321601945336419/263446340364283*c_0110_5^8 - 11272162611756349/263446340364283*c_0110_5^6 + 4868967032812330/263446340364283*c_0110_5^4 + 2102174243816244/1317231701821415*c_0110_5^2 - 1100145275455117/1317231701821415, c_0011_4 + 56233738466941/1317231701821415*c_0110_5^21 - 1793823239965138/1317231701821415*c_0110_5^19 + 21632748539848374/1317231701821415*c_0110_5^17 - 131677425662536633/1317231701821415*c_0110_5^15 + 444208700752801089/1317231701821415*c_0110_5^13 - 4271420567958544/6686455339195*c_0110_5^11 + 175281127197992038/263446340364283*c_0110_5^9 - 100202106748144252/263446340364283*c_0110_5^7 + 39539149456513665/263446340364283*c_0110_5^5 - 76934506038413259/1317231701821415*c_0110_5^3 + 12038734683694067/1317231701821415*c_0110_5, c_0101_0 - 34650865396698/1317231701821415*c_0110_5^21 + 1121842919208869/1317231701821415*c_0110_5^19 - 13823883642803127/1317231701821415*c_0110_5^17 + 86507178453749899/1317231701821415*c_0110_5^15 - 301546081586867517/1317231701821415*c_0110_5^13 + 3001070155586172/6686455339195*c_0110_5^11 - 125531331555804463/263446340364283*c_0110_5^9 + 69197715649587960/263446340364283*c_0110_5^7 - 25341837187158985/263446340364283*c_0110_5^5 + 53967488735558807/1317231701821415*c_0110_5^3 - 6699876861968401/1317231701821415*c_0110_5, c_0101_3 + 4970336331479/1317231701821415*c_0110_5^20 - 149596675756802/1317231701821415*c_0110_5^18 + 1640461815747416/1317231701821415*c_0110_5^16 - 8614427136301112/1317231701821415*c_0110_5^14 + 22876194845219056/1317231701821415*c_0110_5^12 - 140074432981156/6686455339195*c_0110_5^10 + 1571468288693212/263446340364283*c_0110_5^8 + 1834573776174448/263446340364283*c_0110_5^6 - 1058926477270017/263446340364283*c_0110_5^4 - 347279687667481/1317231701821415*c_0110_5^2 - 106183519225392/1317231701821415, c_0101_6 + 51645297248202/1317231701821415*c_0110_5^20 - 1563134469953141/1317231701821415*c_0110_5^18 + 17348576619935533/1317231701821415*c_0110_5^16 - 93582851914400101/1317231701821415*c_0110_5^14 + 265507750895802503/1317231701821415*c_0110_5^12 - 1985565249102508/6686455339195*c_0110_5^10 + 59309670317806153/263446340364283*c_0110_5^8 - 25904824565233781/263446340364283*c_0110_5^6 + 10044145223046882/263446340364283*c_0110_5^4 - 13931992037133713/1317231701821415*c_0110_5^2 + 1175816446389614/1317231701821415, c_0110_5^22 - 31*c_0110_5^20 + 358*c_0110_5^18 - 2055*c_0110_5^16 + 6433*c_0110_5^14 - 11150*c_0110_5^12 + 10769*c_0110_5^10 - 6015*c_0110_5^8 + 2395*c_0110_5^6 - 839*c_0110_5^4 + 134*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB