Magma V2.19-8 Tue Aug 20 2013 16:17:18 on localhost [Seed = 2446331204] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1535 geometric_solution 5.33034295 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837306076753 0.092156997240 0 2 0 2 0132 0132 1023 1023 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 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 0.804451962690 0.176635006442 3 1 4 1 0132 0132 0132 1023 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 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 0.899488664805 0.538156761690 2 5 6 6 0132 0132 3201 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467938828195 1.329293857253 6 6 5 2 1023 2310 0132 0132 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 -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 0.467938828195 1.329293857253 5 3 5 4 2310 0132 3201 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 0.490297821519 0.843650299870 3 4 3 4 2310 1023 0132 3201 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 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 -0.235620061529 0.669335993433 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t - 2003441261400605673/17330155062091115*c_0101_4^31 + 23311368209623275709/17330155062091115*c_0101_4^29 - 201890710429349315574/17330155062091115*c_0101_4^27 + 2163352477983622005777/34660310124182230*c_0101_4^25 - 7438187418523784094439/34660310124182230*c_0101_4^23 + 3670401229564978622859/6932062024836446*c_0101_4^21 - 33658292488286505387251/34660310124182230*c_0101_4^19 + 23214952416661387139091/17330155062091115*c_0101_4^17 - 48592443849162034764133/34660310124182230*c_0101_4^15 + 38381748942666890464033/34660310124182230*c_0101_4^13 - 4533567322893352186365/6932062024836446*c_0101_4^11 + 9938950756093331145927/34660310124182230*c_0101_4^9 - 1578420891775471623154/17330155062091115*c_0101_4^7 + 692307567029243186827/34660310124182230*c_0101_4^5 - 9396810596821025017/3466031012418223*c_0101_4^3 + 2929612752515044851/17330155062091115*c_0101_4, c_0011_0 - 1, c_0011_4 - 1661955825671206/3466031012418223*c_0101_4^30 + 19688416687427488/3466031012418223*c_0101_4^28 - 171683027268290738/3466031012418223*c_0101_4^26 + 934030514038245037/3466031012418223*c_0101_4^24 - 3286471303010165858/3466031012418223*c_0101_4^22 + 8325093064210549252/3466031012418223*c_0101_4^20 - 15771812876405701283/3466031012418223*c_0101_4^18 + 22689992990681470039/3466031012418223*c_0101_4^16 - 25066827093323485977/3466031012418223*c_0101_4^14 + 1119709381066116688/182422684864117*c_0101_4^12 - 13830803766390651025/3466031012418223*c_0101_4^10 + 6870886690757087539/3466031012418223*c_0101_4^8 - 2586258801678904432/3466031012418223*c_0101_4^6 + 727399258604118904/3466031012418223*c_0101_4^4 - 152792313832603606/3466031012418223*c_0101_4^2 + 21685061236460863/3466031012418223, c_0101_0 - 230267961725402088/3466031012418223*c_0101_4^31 + 2725036498055229484/3466031012418223*c_0101_4^29 - 23722585941509532168/3466031012418223*c_0101_4^27 + 128773160351593525538/3466031012418223*c_0101_4^25 - 450786886829155242468/3466031012418223*c_0101_4^23 + 1132414852489846061458/3466031012418223*c_0101_4^21 - 2119912808606695652165/3466031012418223*c_0101_4^19 + 2995276791156151067015/3466031012418223*c_0101_4^17 - 3221184566393589112526/3466031012418223*c_0101_4^15 + 138224476510371997229/182422684864117*c_0101_4^13 - 1607281480085190636208/3466031012418223*c_0101_4^11 + 731190921804812897675/3466031012418223*c_0101_4^9 - 241458887636323297522/3466031012418223*c_0101_4^7 + 55100505351653592629/3466031012418223*c_0101_4^5 - 7816163124719457192/3466031012418223*c_0101_4^3 + 518078706104645188/3466031012418223*c_0101_4, c_0101_1 - 178835146226725456/3466031012418223*c_0101_4^31 + 2097754030356916000/3466031012418223*c_0101_4^29 - 18203723452338754222/3466031012418223*c_0101_4^27 + 98096823520284268732/3466031012418223*c_0101_4^25 - 339733936507801797028/3466031012418223*c_0101_4^23 + 843382642008627389915/3466031012418223*c_0101_4^21 - 1556558332952641614610/3466031012418223*c_0101_4^19 + 2160332251448011424931/3466031012418223*c_0101_4^17 - 2272230970304054311170/3466031012418223*c_0101_4^15 + 94791851589433975403/182422684864117*c_0101_4^13 - 1063755619439133785115/3466031012418223*c_0101_4^11 + 464167807112645532772/3466031012418223*c_0101_4^9 - 146313055767180084950/3466031012418223*c_0101_4^7 + 31736816096389222146/3466031012418223*c_0101_4^5 - 4262387177523213305/3466031012418223*c_0101_4^3 + 266678797013508510/3466031012418223*c_0101_4, c_0101_2 - 2*c_0101_4^31 + 24*c_0101_4^29 - 210*c_0101_4^27 + 1153*c_0101_4^25 - 4104*c_0101_4^23 + 10502*c_0101_4^21 - 20102*c_0101_4^19 + 29212*c_0101_4^17 - 32552*c_0101_4^15 + 27805*c_0101_4^13 - 18109*c_0101_4^11 + 8949*c_0101_4^9 - 3312*c_0101_4^7 + 893*c_0101_4^5 - 166*c_0101_4^3 + 18*c_0101_4, c_0101_3 - 74474931949297856/3466031012418223*c_0101_4^31 + 888429077192409032/3466031012418223*c_0101_4^29 - 7756371527065665016/3466031012418223*c_0101_4^27 + 42378614783430677892/3466031012418223*c_0101_4^25 - 149760257116679234430/3466031012418223*c_0101_4^23 + 380129747693808820522/3466031012418223*c_0101_4^21 - 720472376394187121962/3466031012418223*c_0101_4^19 + 1033878513516219067273/3466031012418223*c_0101_4^17 - 1133594287462692244019/3466031012418223*c_0101_4^15 + 49875175105378891259/182422684864117*c_0101_4^13 - 599234757274884963709/3466031012418223*c_0101_4^11 + 284302531169642307390/3466031012418223*c_0101_4^9 - 99183862468663659448/3466031012418223*c_0101_4^7 + 24359821203911242560/3466031012418223*c_0101_4^5 - 3813652916306367813/3466031012418223*c_0101_4^3 + 288409050301926443/3466031012418223*c_0101_4, c_0101_4^32 - 12*c_0101_4^30 + 105*c_0101_4^28 - 1153/2*c_0101_4^26 + 2052*c_0101_4^24 - 5251*c_0101_4^22 + 10051*c_0101_4^20 - 14606*c_0101_4^18 + 16276*c_0101_4^16 - 27805/2*c_0101_4^14 + 18109/2*c_0101_4^12 - 8949/2*c_0101_4^10 + 1656*c_0101_4^8 - 893/2*c_0101_4^6 + 83*c_0101_4^4 - 19/2*c_0101_4^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB