Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 880126034] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s737 geometric_solution 5.25565897 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 2 0 0132 2310 0132 3201 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 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 0.695197368287 0.529662595836 0 2 4 3 0132 0213 0132 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391565532855 0.571276181406 3 4 1 0 3201 1023 0213 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391565532855 0.571276181406 5 5 1 2 0132 3201 0132 2310 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 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 -0.879010487268 0.888644259514 2 4 4 1 1023 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701793671487 1.084133346123 3 5 3 5 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.023927442258 1.078504452006 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_2'], '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_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 45319617073576031/5420358308609497*c_0101_4^17 - 169519209887779405/5420358308609497*c_0101_4^16 + 138025531783980217/5420358308609497*c_0101_4^15 - 742299230238543784/5420358308609497*c_0101_4^14 + 2360885764114592115/5420358308609497*c_0101_4^13 + 780159941667099484/5420358308609497*c_0101_4^12 - 9513683879578035390/5420358308609497*c_0101_4^11 + 15860944998057026936/5420358308609497*c_0101_4^10 - 13244310393719924606/5420358308609497*c_0101_4^9 - 5366295016092778402/5420358308609497*c_0101_4^8 + 21022658908475018117/5420358308609497*c_0101_4^7 - 22978796526198616390/5420358308609497*c_0101_4^6 + 13149915166980913428/5420358308609497*c_0101_4^5 + 2424548215857816951/5420358308609497*c_0101_4^4 - 5919948756206340237/5420358308609497*c_0101_4^3 + 5080816897718589472/5420358308609497*c_0101_4^2 - 1126571034748431183/5420358308609497*c_0101_4 - 417141362687967826/5420358308609497, c_0011_0 - 1, c_0011_2 + 29100771129043/492759846237227*c_0101_4^17 - 47679783308935/492759846237227*c_0101_4^16 - 111900296448154/492759846237227*c_0101_4^15 - 428699428605251/492759846237227*c_0101_4^14 + 682491836771110/492759846237227*c_0101_4^13 + 3292973344017993/492759846237227*c_0101_4^12 - 3161269200044078/492759846237227*c_0101_4^11 - 3369338545530682/492759846237227*c_0101_4^10 + 3992640286441033/492759846237227*c_0101_4^9 - 5479004130411937/492759846237227*c_0101_4^8 - 2025274214194937/492759846237227*c_0101_4^7 + 6744458357009827/492759846237227*c_0101_4^6 - 686176460350636/492759846237227*c_0101_4^5 + 364939943514903/492759846237227*c_0101_4^4 + 3139800932020153/492759846237227*c_0101_4^3 - 1047754165958334/492759846237227*c_0101_4^2 - 1558236863119610/492759846237227*c_0101_4 - 45153595331219/492759846237227, c_0011_3 + 508601781079800/492759846237227*c_0101_4^17 - 1524241443215871/492759846237227*c_0101_4^16 + 615115088316087/492759846237227*c_0101_4^15 - 8380475383352318/492759846237227*c_0101_4^14 + 20197492819278113/492759846237227*c_0101_4^13 + 20611588351922237/492759846237227*c_0101_4^12 - 84812460491338557/492759846237227*c_0101_4^11 + 127241722151087159/492759846237227*c_0101_4^10 - 83667099257758931/492759846237227*c_0101_4^9 - 92311468969691311/492759846237227*c_0101_4^8 + 157346767036487112/492759846237227*c_0101_4^7 - 185730111016200905/492759846237227*c_0101_4^6 + 48328490336350856/492759846237227*c_0101_4^5 + 26797622720210669/492759846237227*c_0101_4^4 - 51033768219278463/492759846237227*c_0101_4^3 + 30593321239902811/492759846237227*c_0101_4^2 + 696621085050762/492759846237227*c_0101_4 - 1845726519456849/492759846237227, c_0101_0 + 19627746207415/492759846237227*c_0101_4^17 + 39651351489285/492759846237227*c_0101_4^16 - 163216637341623/492759846237227*c_0101_4^15 - 490182243798664/492759846237227*c_0101_4^14 - 880891204179492/492759846237227*c_0101_4^13 + 3058080065273990/492759846237227*c_0101_4^12 + 4560778727330487/492759846237227*c_0101_4^11 - 4749348009711227/492759846237227*c_0101_4^10 + 3771638816927049/492759846237227*c_0101_4^9 - 4755665356348417/492759846237227*c_0101_4^8 - 15176930457778798/492759846237227*c_0101_4^7 + 32276785728245/492759846237227*c_0101_4^6 - 11757251639812575/492759846237227*c_0101_4^5 - 4993556610091296/492759846237227*c_0101_4^4 + 2503148692215443/492759846237227*c_0101_4^3 - 1553965624519541/492759846237227*c_0101_4^2 + 1956629685703922/492759846237227*c_0101_4 + 1002086661791042/492759846237227, c_0101_1 - 69433818982487/492759846237227*c_0101_4^17 + 135164600240103/492759846237227*c_0101_4^16 + 64238008031870/492759846237227*c_0101_4^15 + 1237301623870841/492759846237227*c_0101_4^14 - 1511967395376620/492759846237227*c_0101_4^13 - 4663405477195289/492759846237227*c_0101_4^12 + 6200599168409674/492759846237227*c_0101_4^11 - 9869234085288416/492759846237227*c_0101_4^10 + 4744245416476790/492759846237227*c_0101_4^9 + 15919921875117416/492759846237227*c_0101_4^8 - 8318802040088567/492759846237227*c_0101_4^7 + 19914907723756282/492759846237227*c_0101_4^6 + 5975738577370935/492759846237227*c_0101_4^5 - 3983216892197550/492759846237227*c_0101_4^4 + 5714409359325274/492759846237227*c_0101_4^3 - 2886617374417766/492759846237227*c_0101_4^2 - 2697717748362557/492759846237227*c_0101_4 - 64781341538634/492759846237227, c_0101_4^18 - 3*c_0101_4^17 + c_0101_4^16 - 16*c_0101_4^15 + 40*c_0101_4^14 + 44*c_0101_4^13 - 173*c_0101_4^12 + 235*c_0101_4^11 - 139*c_0101_4^10 - 204*c_0101_4^9 + 317*c_0101_4^8 - 319*c_0101_4^7 + 72*c_0101_4^6 + 85*c_0101_4^5 - 94*c_0101_4^4 + 52*c_0101_4^3 + 6*c_0101_4^2 - 7*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB