Magma V2.19-8 Tue Aug 20 2013 16:17:45 on localhost [Seed = 3187417436] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1981 geometric_solution 5.55057992 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 -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 0.557845688081 0.120786972266 2 0 2 0 0132 2310 1023 0132 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 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 0.729822509629 0.249973935872 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 1 -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 -1 1 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 1.053065791538 1.082299342700 5 2 4 6 0132 0132 3012 0132 0 0 0 0 0 -1 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 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 0.926991501132 0.948625287977 6 3 2 5 1023 1230 0132 0132 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 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 0.926991501132 0.948625287977 3 5 4 5 0132 1302 0132 2031 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 0 0 0 0 0 0 0 0.523103087061 0.462464945179 6 4 3 6 3201 1023 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847920933962 0.691437889739 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], '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' : 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_0101_3'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], '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_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t + 1258451022572148978970800/765225408657391326221*c_0101_3*c_0101_5^1\ 8 + 9315637697987906670400562/765225408657391326221*c_0101_3*c_0101\ _5^17 + 20191121809030390249542984/765225408657391326221*c_0101_3*c\ _0101_5^16 - 60486105305888472248176259/765225408657391326221*c_010\ 1_3*c_0101_5^15 - 265943306652865450306945663/765225408657391326221\ *c_0101_3*c_0101_5^14 + 253902727444871074325578124/765225408657391\ 326221*c_0101_3*c_0101_5^13 + 1064172004677865616223809248/76522540\ 8657391326221*c_0101_3*c_0101_5^12 - 1132257968526617709835814946/765225408657391326221*c_0101_3*c_0101_\ 5^11 - 1223099581801235221284352527/765225408657391326221*c_0101_3*\ c_0101_5^10 + 1710242940154859721180604058/765225408657391326221*c_\ 0101_3*c_0101_5^9 + 424960487604651972540919874/7652254086573913262\ 21*c_0101_3*c_0101_5^8 - 942881002546604704352900143/76522540865739\ 1326221*c_0101_3*c_0101_5^7 - 329095699966168565935042795/765225408\ 657391326221*c_0101_3*c_0101_5^6 + 583124150510925101277178913/765225408657391326221*c_0101_3*c_0101_5\ ^5 + 32229718518317578127078697/765225408657391326221*c_0101_3*c_01\ 01_5^4 - 191058551676364908942028383/765225408657391326221*c_0101_3\ *c_0101_5^3 + 24634668222984656689785208/765225408657391326221*c_01\ 01_3*c_0101_5^2 + 17748687819617749948806580/765225408657391326221*\ c_0101_3*c_0101_5 + 690695236493311574975180/765225408657391326221*\ c_0101_3, c_0011_0 - 1, c_0011_1 - 617146750487085976064/765225408657391326221*c_0101_5^18 - 4785730088509549969463/765225408657391326221*c_0101_5^17 - 11635445387162730771105/765225408657391326221*c_0101_5^16 + 25167901880201248323561/765225408657391326221*c_0101_5^15 + 138186806772754286132413/765225408657391326221*c_0101_5^14 - 74384793157616764980777/765225408657391326221*c_0101_5^13 - 536524227251494741306611/765225408657391326221*c_0101_5^12 + 366130089557839163054144/765225408657391326221*c_0101_5^11 + 687081704745237717919980/765225408657391326221*c_0101_5^10 - 589872050330543316229754/765225408657391326221*c_0101_5^9 - 362376829698142587776806/765225408657391326221*c_0101_5^8 + 323401935968008415720135/765225408657391326221*c_0101_5^7 + 243132100548888153373603/765225408657391326221*c_0101_5^6 - 201924924687771424409031/765225408657391326221*c_0101_5^5 - 65739290749734636674374/765225408657391326221*c_0101_5^4 + 69973718924036075859932/765225408657391326221*c_0101_5^3 + 6585367609413779305035/765225408657391326221*c_0101_5^2 - 7376028594707859189605/765225408657391326221*c_0101_5 - 1323283179028316523197/765225408657391326221, c_0011_4 + 728835545579073658319/765225408657391326221*c_0101_3*c_0101_\ 5^18 + 5295464891663872569447/765225408657391326221*c_0101_3*c_0101\ _5^17 + 10892205742013156065779/765225408657391326221*c_0101_3*c_01\ 01_5^16 - 37156808063367217670349/765225408657391326221*c_0101_3*c_\ 0101_5^15 - 150692318553027972654357/765225408657391326221*c_0101_3\ *c_0101_5^14 + 170068323168077061295151/765225408657391326221*c_010\ 1_3*c_0101_5^13 + 611919898352322225972295/765225408657391326221*c_\ 0101_3*c_0101_5^12 - 739585972127599894411256/765225408657391326221\ *c_0101_3*c_0101_5^11 - 677859601281914670932940/765225408657391326\ 221*c_0101_3*c_0101_5^10 + 1092115251857890967890938/76522540865739\ 1326221*c_0101_3*c_0101_5^9 + 198308365630544115515700/765225408657\ 391326221*c_0101_3*c_0101_5^8 - 593873142241469768570180/7652254086\ 57391326221*c_0101_3*c_0101_5^7 - 177559697678838242289710/76522540\ 8657391326221*c_0101_3*c_0101_5^6 + 366717469970792503417569/765225408657391326221*c_0101_3*c_0101_5^5 + 7311835234971335110440/765225408657391326221*c_0101_3*c_0101_5^4 - 114775971193573839353061/765225408657391326221*c_0101_3*c_0101_5^3 + 15800227527343758204678/765225408657391326221*c_0101_3*c_0101_5^2 + 10099287967087568556545/765225408657391326221*c_0101_3*c_0101_5 + 1133742510897415918501/765225408657391326221*c_0101_3, c_0101_0 + 429494704031497254311/765225408657391326221*c_0101_3*c_0101_\ 5^18 + 3490576021595215236296/765225408657391326221*c_0101_3*c_0101\ _5^17 + 9104533985444281639032/765225408657391326221*c_0101_3*c_010\ 1_5^16 - 16357329154759517501404/765225408657391326221*c_0101_3*c_0\ 101_5^15 - 107487021599736423400009/765225408657391326221*c_0101_3*\ c_0101_5^14 + 24361312884541140424941/765225408657391326221*c_0101_\ 3*c_0101_5^13 + 446159601058767509685750/765225408657391326221*c_01\ 01_3*c_0101_5^12 - 132905164229420369728300/765225408657391326221*c\ _0101_3*c_0101_5^11 - 774590523000327729315640/76522540865739132622\ 1*c_0101_3*c_0101_5^10 + 332456691134417452857767/76522540865739132\ 6221*c_0101_3*c_0101_5^9 + 666003960993388855948617/765225408657391\ 326221*c_0101_3*c_0101_5^8 - 302548894440809960007334/7652254086573\ 91326221*c_0101_3*c_0101_5^7 - 394773355005033989023937/76522540865\ 7391326221*c_0101_3*c_0101_5^6 + 165220364884489589648304/765225408\ 657391326221*c_0101_3*c_0101_5^5 + 186135023879343116662430/765225408657391326221*c_0101_3*c_0101_5^4 - 84761289903014347531977/765225408657391326221*c_0101_3*c_0101_5^3 - 47012508409312429567510/765225408657391326221*c_0101_3*c_0101_5^2 + 21043590214982157269046/765225408657391326221*c_0101_3*c_0101_5 + 4505954184175570750977/765225408657391326221*c_0101_3, c_0101_1 + 499723343618603350834/765225408657391326221*c_0101_5^18 + 3826089933311121237159/765225408657391326221*c_0101_5^17 + 9034555274646025005410/765225408657391326221*c_0101_5^16 - 21362349669372040930431/765225408657391326221*c_0101_5^15 - 110083930322404092098279/765225408657391326221*c_0101_5^14 + 71264121162373176572006/765225408657391326221*c_0101_5^13 + 430089501531918377127222/765225408657391326221*c_0101_5^12 - 337822862997650558115835/765225408657391326221*c_0101_5^11 - 531414465454502138269080/765225408657391326221*c_0101_5^10 + 528255299058108956513418/765225408657391326221*c_0101_5^9 + 248080639310267198895751/765225408657391326221*c_0101_5^8 - 282829961965212607756527/765225408657391326221*c_0101_5^7 - 167531394780433753186049/765225408657391326221*c_0101_5^6 + 174936161457885735809053/765225408657391326221*c_0101_5^5 + 34853629681593876561800/765225408657391326221*c_0101_5^4 - 57999554004984979570824/765225408657391326221*c_0101_5^3 + 2073431826033123219101/765225408657391326221*c_0101_5^2 + 4171468575371096459344/765225408657391326221*c_0101_5 + 585977787252033317975/765225408657391326221, c_0101_3^2 + 1582572929205637463913/765225408657391326221*c_0101_5^18 + 12224357652651284288895/765225408657391326221*c_0101_5^17 + 29445170058397236136474/765225408657391326221*c_0101_5^16 - 65607735478319982006053/765225408657391326221*c_0101_5^15 - 352858501578796546308475/765225408657391326221*c_0101_5^14 + 202032969692531793481602/765225408657391326221*c_0101_5^13 + 1374385664336379769363945/765225408657391326221*c_0101_5^12 - 981249214977302350983463/765225408657391326221*c_0101_5^11 - 1746894031751796328587274/765225408657391326221*c_0101_5^10 + 1573076191659857756929578/765225408657391326221*c_0101_5^9 + 890007908266284369566950/765225408657391326221*c_0101_5^8 - 864175520493799240275801/765225408657391326221*c_0101_5^7 - 590135262442569615358173/765225408657391326221*c_0101_5^6 + 533320949216993435373866/765225408657391326221*c_0101_5^5 + 149728524351300030756594/765225408657391326221*c_0101_5^4 - 184547527327888798796975/765225408657391326221*c_0101_5^3 - 7010255196466172513353/765225408657391326221*c_0101_5^2 + 17190807602516874004594/765225408657391326221*c_0101_5 + 1761182308110044491015/765225408657391326221, c_0101_5^19 + 7*c_0101_5^18 + 13*c_0101_5^17 - 55*c_0101_5^16 - 193*c_0101_5^15 + 290*c_0101_5^14 + 778*c_0101_5^13 - 1254*c_0101_5^12 - 664*c_0101_5^11 + 1812*c_0101_5^10 - 150*c_0101_5^9 - 977*c_0101_5^8 + 24*c_0101_5^7 + 618*c_0101_5^6 - 147*c_0101_5^5 - 193*c_0101_5^4 + 81*c_0101_5^3 + 16*c_0101_5^2 - 7*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB