Magma V2.19-8 Tue Aug 20 2013 16:17:21 on localhost [Seed = 2345277251] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1585 geometric_solution 5.36002772 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 1 0 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.207140248400 0.696263657655 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 2 0 -2 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257846731624 0.445734371649 4 5 1 4 0132 0132 0132 3201 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 2 -2 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634872561302 0.592242550897 5 6 6 1 0132 0132 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 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634872561302 0.592242550897 2 2 6 6 0132 2310 2031 1302 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 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.733643206780 1.040134422218 3 2 5 5 0132 0132 1230 3012 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338986030358 0.764316282010 3 3 4 4 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 -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 1.733643206780 1.040134422218 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], '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' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], '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_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), '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_2, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 2204334380691472405177480140/60361740491197892423079649*c_0101_6^18 - 1822946487821708113764651135/60361740491197892423079649*c_0101_6^\ 17 - 14578503240783118506894691345/60361740491197892423079649*c_010\ 1_6^16 + 18043958222008048803084555072/60361740491197892423079649*c\ _0101_6^15 - 44295433750561508704577675577/603617404911978924230796\ 49*c_0101_6^14 + 29585723124948843363153260082/60361740491197892423\ 079649*c_0101_6^13 + 254026082412639121648770010074/603617404911978\ 92423079649*c_0101_6^12 - 457477636115126799472434999152/6036174049\ 1197892423079649*c_0101_6^11 + 15938176950082180485804611045/317693\ 3710063046969635771*c_0101_6^10 - 248476856509734581722679498893/60\ 361740491197892423079649*c_0101_6^9 - 81677730889812386076817313360/60361740491197892423079649*c_0101_6^8 + 619958843106127231008123677911/60361740491197892423079649*c_0101_\ 6^7 - 412675898485743314120940214605/60361740491197892423079649*c_0\ 101_6^6 + 99357931219643549916233579504/60361740491197892423079649*\ c_0101_6^5 - 25777036903829764836339272005/603617404911978924230796\ 49*c_0101_6^4 - 36887641334901149400112928086/603617404911978924230\ 79649*c_0101_6^3 + 22299722644824489615629132199/603617404911978924\ 23079649*c_0101_6^2 - 5382915257896764181313708475/6036174049119789\ 2423079649*c_0101_6 + 4259310467893520332670486927/6036174049119789\ 2423079649, c_0011_0 - 1, c_0011_2 - 2499451023033886347420978/3176933710063046969635771*c_0101_6\ ^18 + 1489118691127832431406671/3176933710063046969635771*c_0101_6^\ 17 + 17056878561347625841802685/3176933710063046969635771*c_0101_6^\ 16 - 16776597901890072495902600/3176933710063046969635771*c_0101_6^\ 15 + 45113967634093570780634325/3176933710063046969635771*c_0101_6^\ 14 - 20803008582627999480899334/3176933710063046969635771*c_0101_6^\ 13 - 296567522376392620763798650/3176933710063046969635771*c_0101_6\ ^12 + 453877807852661401787093288/3176933710063046969635771*c_0101_\ 6^11 - 216912544294626798522423813/3176933710063046969635771*c_0101\ _6^10 + 179687874189290328561066509/3176933710063046969635771*c_010\ 1_6^9 + 167373860968734630982613072/3176933710063046969635771*c_010\ 1_6^8 - 676330554235151020150273738/3176933710063046969635771*c_010\ 1_6^7 + 307682572398158641500337555/3176933710063046969635771*c_010\ 1_6^6 + 20659437227927824022474993/3176933710063046969635771*c_0101\ _6^5 - 25648527947870061783088274/3176933710063046969635771*c_0101_\ 6^4 + 31197547320390207995328598/3176933710063046969635771*c_0101_6\ ^3 - 10819176191244560320873135/3176933710063046969635771*c_0101_6^\ 2 + 8860919255289544185317400/3176933710063046969635771*c_0101_6 + 19183526289330986470156/3176933710063046969635771, c_0101_0 - 1897224428183863451383797/3176933710063046969635771*c_0101_6\ ^18 + 2267037982891898020357598/3176933710063046969635771*c_0101_6^\ 17 + 11699736312308782862624774/3176933710063046969635771*c_0101_6^\ 16 - 20130844390650367519548919/3176933710063046969635771*c_0101_6^\ 15 + 45930038296437330467958931/3176933710063046969635771*c_0101_6^\ 14 - 40348864722121112199808081/3176933710063046969635771*c_0101_6^\ 13 - 206428105380972839471725562/3176933710063046969635771*c_0101_6\ ^12 + 475194827102430849903950097/3176933710063046969635771*c_0101_\ 6^11 - 441692129775610548661012146/3176933710063046969635771*c_0101\ _6^10 + 342080708365812554799470403/3176933710063046969635771*c_010\ 1_6^9 + 13053653221616002930215814/3176933710063046969635771*c_0101\ _6^8 - 574102099405899867635990791/3176933710063046969635771*c_0101\ _6^7 + 589729502045328244491774221/3176933710063046969635771*c_0101\ _6^6 - 293813782333057596393042799/3176933710063046969635771*c_0101\ _6^5 + 33522849071586453580506403/3176933710063046969635771*c_0101_\ 6^4 + 77007697047240047218282598/3176933710063046969635771*c_0101_6\ ^3 - 38586955305145295706407987/3176933710063046969635771*c_0101_6^\ 2 + 16503359540314296096076960/3176933710063046969635771*c_0101_6 - 4024501678591118562259823/3176933710063046969635771, c_0101_1 - 3838887739392926469796896/3176933710063046969635771*c_0101_6\ ^18 + 2169764035328078858487893/3176933710063046969635771*c_0101_6^\ 17 + 26533136979677462144789004/3176933710063046969635771*c_0101_6^\ 16 - 25143926955725731771290542/3176933710063046969635771*c_0101_6^\ 15 + 66682796435424777753232863/3176933710063046969635771*c_0101_6^\ 14 - 27933786131256291954260404/3176933710063046969635771*c_0101_6^\ 13 - 461337532564511355035538500/3176933710063046969635771*c_0101_6\ ^12 + 685752449107215136844273814/3176933710063046969635771*c_0101_\ 6^11 - 279861300245879795185263261/3176933710063046969635771*c_0101\ _6^10 + 215682449795609361079981177/3176933710063046969635771*c_010\ 1_6^9 + 291140494393014454448905390/3176933710063046969635771*c_010\ 1_6^8 - 1050111682486200070535017568/3176933710063046969635771*c_01\ 01_6^7 + 420234704555814915156933900/3176933710063046969635771*c_01\ 01_6^6 + 122762812656159741167730842/3176933710063046969635771*c_01\ 01_6^5 - 72657021093411944566967768/3176933710063046969635771*c_010\ 1_6^4 + 43893188092224944255470767/3176933710063046969635771*c_0101\ _6^3 - 8705213561310932875100148/3176933710063046969635771*c_0101_6\ ^2 + 2583054098148196270411376/3176933710063046969635771*c_0101_6 + 1927646793905537296765443/3176933710063046969635771, c_0101_3 + 6842492790246596375691948/3176933710063046969635771*c_0101_6\ ^18 - 6465822570250865807116974/3176933710063046969635771*c_0101_6^\ 17 - 46093020185945072279048700/3176933710063046969635771*c_0101_6^\ 16 + 62330024823704273271070522/3176933710063046969635771*c_0101_6^\ 15 - 133923427812622047355680220/3176933710063046969635771*c_0101_6\ ^14 + 97372932850278927534706785/3176933710063046969635771*c_0101_6\ ^13 + 805748165212446904123551153/3176933710063046969635771*c_0101_\ 6^12 - 1527312764754206014572692082/3176933710063046969635771*c_010\ 1_6^11 + 930769931743470871045729909/3176933710063046969635771*c_01\ 01_6^10 - 598479073658065452261263824/3176933710063046969635771*c_0\ 101_6^9 - 313313007166090801625400617/3176933710063046969635771*c_0\ 101_6^8 + 2076801640885459819015353951/3176933710063046969635771*c_\ 0101_6^7 - 1422686182775581575334543110/3176933710063046969635771*c\ _0101_6^6 + 53924852526984446933303505/3176933710063046969635771*c_\ 0101_6^5 + 93818137310429704773424822/3176933710063046969635771*c_0\ 101_6^4 - 106308151083256316307803774/3176933710063046969635771*c_0\ 101_6^3 + 76435162963434664598368443/3176933710063046969635771*c_01\ 01_6^2 - 13908115649486472968794214/3176933710063046969635771*c_010\ 1_6 + 4202080930887684981733377/3176933710063046969635771, c_0101_4 - c_0101_6, c_0101_6^19 - 4/3*c_0101_6^18 - 19/3*c_0101_6^17 + 35/3*c_0101_6^16 - 70/3*c_0101_6^15 + 67/3*c_0101_6^14 + 334/3*c_0101_6^13 - 268*c_0101_6^12 + 680/3*c_0101_6^11 - 454/3*c_0101_6^10 - 2*c_0101_6^9 + 316*c_0101_6^8 - 977/3*c_0101_6^7 + 302/3*c_0101_6^6 - 11/3*c_0101_6^5 - 53/3*c_0101_6^4 + 56/3*c_0101_6^3 - 7*c_0101_6^2 + 2*c_0101_6 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB