Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 3280101124] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0250 geometric_solution 4.28451064 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 1 0 -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 1 0 -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 2.285019796133 0.167256493266 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 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 -1 0 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 -1.087253667258 0.749817823399 1 1 3 3 2310 0132 0132 3201 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 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 0.105756989047 0.226768578509 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 -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 1.635609627967 1.923252946463 3 6 5 5 0132 0132 2310 1230 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 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 0.166347676896 1.153510218326 4 4 6 3 3012 3201 3201 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 -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 0.166347676896 1.153510218326 5 4 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390731817817 0.245800765390 ==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_0101_2'], '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_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], '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_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3197014976281939371/238355702607751913*c_0101_5^15 - 32855591922652279655/238355702607751913*c_0101_5^14 - 62952583066941761373/238355702607751913*c_0101_5^13 + 105833902975747080590/238355702607751913*c_0101_5^12 + 8945829542438448163/238355702607751913*c_0101_5^11 - 586579953854899984810/238355702607751913*c_0101_5^10 + 286040177137622294953/238355702607751913*c_0101_5^9 + 1195175862436555861243/238355702607751913*c_0101_5^8 + 75444130377177564726/238355702607751913*c_0101_5^7 - 378092589086818198456/238355702607751913*c_0101_5^6 - 431173430421312196782/238355702607751913*c_0101_5^5 - 87823152832939120773/238355702607751913*c_0101_5^4 + 1827534423525697228/238355702607751913*c_0101_5^3 + 21316349823352252811/238355702607751913*c_0101_5^2 + 826064944510653403/8219162158887997*c_0101_5 + 15230411464266967211/238355702607751913, c_0011_0 - 1, c_0011_3 - 12734572641892563/238355702607751913*c_0101_5^15 - 137829709655770022/238355702607751913*c_0101_5^14 - 315393423942802792/238355702607751913*c_0101_5^13 + 350054346957635913/238355702607751913*c_0101_5^12 + 347327041666391574/238355702607751913*c_0101_5^11 - 2662604704855197345/238355702607751913*c_0101_5^10 - 15358723136698996/238355702607751913*c_0101_5^9 + 6741401354001907031/238355702607751913*c_0101_5^8 + 1283280440129931715/238355702607751913*c_0101_5^7 - 3818044880683728907/238355702607751913*c_0101_5^6 - 281621475174302108/238355702607751913*c_0101_5^5 - 30413457543452548/238355702607751913*c_0101_5^4 - 511957425353227119/238355702607751913*c_0101_5^3 - 54648770475258864/238355702607751913*c_0101_5^2 + 1565695872294454/8219162158887997*c_0101_5 + 136562786587226692/238355702607751913, c_0011_5 + 2496762878721675/238355702607751913*c_0101_5^15 + 36002772135440645/238355702607751913*c_0101_5^14 + 163943460459076993/238355702607751913*c_0101_5^13 + 200893337144179734/238355702607751913*c_0101_5^12 - 254733901947199204/238355702607751913*c_0101_5^11 + 31523539683166915/238355702607751913*c_0101_5^10 + 1953368054458802308/238355702607751913*c_0101_5^9 - 350455655889559163/238355702607751913*c_0101_5^8 - 6115178994102312975/238355702607751913*c_0101_5^7 - 1935468832824735050/238355702607751913*c_0101_5^6 + 4116727524727131109/238355702607751913*c_0101_5^5 + 1197654609127880552/238355702607751913*c_0101_5^4 + 415812988309911071/238355702607751913*c_0101_5^3 + 107192782641773956/238355702607751913*c_0101_5^2 - 6322534276903704/8219162158887997*c_0101_5 - 62500065454460268/238355702607751913, c_0101_0 + 378729250556919/238355702607751913*c_0101_5^15 + 52011619549271266/238355702607751913*c_0101_5^14 + 480082645645099556/238355702607751913*c_0101_5^13 + 719611770550594213/238355702607751913*c_0101_5^12 - 1926969291474202598/238355702607751913*c_0101_5^11 + 838260388302346454/238355702607751913*c_0101_5^10 + 8507195185321587621/238355702607751913*c_0101_5^9 - 8466698956318339703/238355702607751913*c_0101_5^8 - 14214706589633862457/238355702607751913*c_0101_5^7 + 6007278988750190650/238355702607751913*c_0101_5^6 + 2569682240184391249/238355702607751913*c_0101_5^5 + 4347456519576055782/238355702607751913*c_0101_5^4 - 297339256789933989/238355702607751913*c_0101_5^3 + 119448413530730283/238355702607751913*c_0101_5^2 - 5197077409985157/8219162158887997*c_0101_5 - 288784552295134678/238355702607751913, c_0101_1 - 18806931267849801/238355702607751913*c_0101_5^15 - 209647481201895232/238355702607751913*c_0101_5^14 - 531759359938788945/238355702607751913*c_0101_5^13 + 374095862572010738/238355702607751913*c_0101_5^12 + 770208331325065459/238355702607751913*c_0101_5^11 - 3540350326110131045/238355702607751913*c_0101_5^10 - 1431981386645951015/238355702607751913*c_0101_5^9 + 9742592266779446956/238355702607751913*c_0101_5^8 + 6614302654961726995/238355702607751913*c_0101_5^7 - 4496421634732661219/238355702607751913*c_0101_5^6 - 5858174558072248559/238355702607751913*c_0101_5^5 - 2633429492990761440/238355702607751913*c_0101_5^4 + 552512628215885445/238355702607751913*c_0101_5^3 + 834492350409222688/238355702607751913*c_0101_5^2 + 9995735660526802/8219162158887997*c_0101_5 + 266079780476184762/238355702607751913, c_0101_2 - 18022597197936565/238355702607751913*c_0101_5^15 - 165426763099708350/238355702607751913*c_0101_5^14 - 161201883355047243/238355702607751913*c_0101_5^13 + 891059922644254721/238355702607751913*c_0101_5^12 - 747607093603642871/238355702607751913*c_0101_5^11 - 2934949675279960923/238355702607751913*c_0101_5^10 + 5125880654986956179/238355702607751913*c_0101_5^9 + 3054782980383513295/238355702607751913*c_0101_5^8 - 5134181987478802929/238355702607751913*c_0101_5^7 + 885306419110600437/238355702607751913*c_0101_5^6 - 2331533004415861900/238355702607751913*c_0101_5^5 + 823600945044266530/238355702607751913*c_0101_5^4 + 601500100361964683/238355702607751913*c_0101_5^3 + 293511361297018562/238355702607751913*c_0101_5^2 + 4988356403167115/8219162158887997*c_0101_5 - 60217079016000993/238355702607751913, c_0101_5^16 + 10*c_0101_5^15 + 17*c_0101_5^14 - 37*c_0101_5^13 + 9*c_0101_5^12 + 178*c_0101_5^11 - 140*c_0101_5^10 - 319*c_0101_5^9 + 58*c_0101_5^8 + 64*c_0101_5^7 + 120*c_0101_5^6 + 17*c_0101_5^5 + 4*c_0101_5^4 - 5*c_0101_5^3 - 11*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB