Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 3035965586] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s100 geometric_solution 3.95156787 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.410982872466 0.131797461178 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 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 -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 1.159694912866 0.148071431454 3 1 1 3 0132 0132 1023 1023 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.103257525318 0.412207881805 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510764520321 0.310435978700 5 3 5 5 2031 0132 2103 3201 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 -1 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 0.519467089117 0.836393585533 4 4 4 3 2103 2310 1302 0132 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 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519467089117 0.836393585533 ==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' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(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_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), '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_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), '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' : d['c_0101_2'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 15843927928453616147/35879756318164997*c_0110_4^14 + 115634149189650612982/35879756318164997*c_0110_4^13 - 16242704000309914228/5125679474023571*c_0110_4^12 - 74391822129710078893/5125679474023571*c_0110_4^11 + 2199322742229903175703/35879756318164997*c_0110_4^10 + 5792972144291309962885/35879756318164997*c_0110_4^9 - 9398985199730498942069/35879756318164997*c_0110_4^8 - 11129625491105479082955/35879756318164997*c_0110_4^7 + 20695040587155318011486/35879756318164997*c_0110_4^6 - 8043812588429369772539/35879756318164997*c_0110_4^5 + 66073370016344567721/35879756318164997*c_0110_4^4 + 902632700082573885281/35879756318164997*c_0110_4^3 - 648499194233856247738/35879756318164997*c_0110_4^2 + 33592345007599249771/35879756318164997*c_0110_4 + 54149221871152245260/35879756318164997, c_0011_0 - 1, c_0011_1 - 37704293748034311/5125679474023571*c_0110_4^14 + 274779530358998097/5125679474023571*c_0110_4^13 - 267994940699007592/5125679474023571*c_0110_4^12 - 1239997332797347987/5125679474023571*c_0110_4^11 + 5220393763571989105/5125679474023571*c_0110_4^10 + 13829873245854885212/5125679474023571*c_0110_4^9 - 22186500868567473132/5125679474023571*c_0110_4^8 - 26566012811948180168/5125679474023571*c_0110_4^7 + 48927459121085546989/5125679474023571*c_0110_4^6 - 18898174623220817016/5125679474023571*c_0110_4^5 + 103310831062141822/5125679474023571*c_0110_4^4 + 2134637123547746314/5125679474023571*c_0110_4^3 - 1519883362556270594/5125679474023571*c_0110_4^2 + 71439481163356301/5125679474023571*c_0110_4 + 126896351672565317/5125679474023571, c_0011_5 - 14088012477780516/5125679474023571*c_0110_4^14 + 103667416681611268/5125679474023571*c_0110_4^13 - 106973529451615077/5125679474023571*c_0110_4^12 - 459048278520130041/5125679474023571*c_0110_4^11 + 1984298758902799369/5125679474023571*c_0110_4^10 + 5044535442965972615/5125679474023571*c_0110_4^9 - 8704348054311079271/5125679474023571*c_0110_4^8 - 9534978070720915455/5125679474023571*c_0110_4^7 + 19098611547411200706/5125679474023571*c_0110_4^6 - 7947868330950068728/5125679474023571*c_0110_4^5 + 262334096114260433/5125679474023571*c_0110_4^4 + 767847357361698558/5125679474023571*c_0110_4^3 - 601402511054437491/5125679474023571*c_0110_4^2 + 42943418454125314/5125679474023571*c_0110_4 + 51936575722670303/5125679474023571, c_0101_0 - 47149247868366148/5125679474023571*c_0110_4^14 + 340120364308789196/5125679474023571*c_0110_4^13 - 312846997670395865/5125679474023571*c_0110_4^12 - 1554361116106137963/5125679474023571*c_0110_4^11 + 6403850564443484038/5125679474023571*c_0110_4^10 + 17669029856410015281/5125679474023571*c_0110_4^9 - 26094421316774847770/5125679474023571*c_0110_4^8 - 33888796887819181469/5125679474023571*c_0110_4^7 + 57758740585415455651/5125679474023571*c_0110_4^6 - 21853332311303121084/5125679474023571*c_0110_4^5 + 682178975370683608/5125679474023571*c_0110_4^4 + 2368441713374886546/5125679474023571*c_0110_4^3 - 1729532956392626914/5125679474023571*c_0110_4^2 + 77859736140570761/5125679474023571*c_0110_4 + 130764857203329500/5125679474023571, c_0101_2 - 20605224039083737/5125679474023571*c_0110_4^14 + 153285050331781750/5125679474023571*c_0110_4^13 - 167663924103926833/5125679474023571*c_0110_4^12 - 664994714017583594/5125679474023571*c_0110_4^11 + 2955818896378019706/5125679474023571*c_0110_4^10 + 7179874364124599567/5125679474023571*c_0110_4^9 - 13425100336359309897/5125679474023571*c_0110_4^8 - 13424002780291714334/5125679474023571*c_0110_4^7 + 29108695580463989455/5125679474023571*c_0110_4^6 - 12907511288495080154/5125679474023571*c_0110_4^5 + 1042640634534167701/5125679474023571*c_0110_4^4 + 919863254463195251/5125679474023571*c_0110_4^3 - 907143676287614606/5125679474023571*c_0110_4^2 + 86054850304169305/5125679474023571*c_0110_4 + 66271723195068118/5125679474023571, c_0110_4^15 - 7*c_0110_4^14 + 5*c_0110_4^13 + 35*c_0110_4^12 - 129*c_0110_4^11 - 407*c_0110_4^10 + 484*c_0110_4^9 + 879*c_0110_4^8 - 1096*c_0110_4^7 + 119*c_0110_4^6 + 146*c_0110_4^5 - 58*c_0110_4^4 + 24*c_0110_4^3 + 10*c_0110_4^2 - 4*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB