Magma V2.19-8 Tue Aug 20 2013 16:14:58 on localhost [Seed = 1014865959] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s947 geometric_solution 5.90616381 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 1 0 -1 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 0 1 -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 0.792118986515 1.207430662127 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 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 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 0.370215744510 0.769462217577 3 0 4 5 3201 0132 3201 0132 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370215744510 0.769462217577 3 1 3 2 2310 0132 3201 2310 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 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 0.045447962095 0.973486477679 2 4 1 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684398021349 0.846408020241 5 5 2 1 1302 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526714492715 0.903324946579 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 5699459144211/4383155831*c_0101_2^22 - 111573922077998/4383155831*c_0101_2^21 - 351565635712099/4383155831*c_0101_2^20 + 1110605464014685/4383155831*c_0101_2^19 + 1660012063449259/4383155831*c_0101_2^18 - 4267373842354026/4383155831*c_0101_2^17 - 3713009195637058/4383155831*c_0101_2^16 + 9462046113592249/4383155831*c_0101_2^15 + 5134252445739722/4383155831*c_0101_2^14 - 13697871753151216/4383155831*c_0101_2^13 - 5201911310500919/4383155831*c_0101_2^12 + 13655904025264181/4383155831*c_0101_2^11 + 4390783924461708/4383155831*c_0101_2^10 - 9508683632426005/4383155831*c_0101_2^9 - 3101929334309108/4383155831*c_0101_2^8 + 4542827809460433/4383155831*c_0101_2^7 + 1633661753755606/4383155831*c_0101_2^6 - 1410983019738898/4383155831*c_0101_2^5 - 561263513789686/4383155831*c_0101_2^4 + 253595550703173/4383155831*c_0101_2^3 + 313390279039/12631573*c_0101_2^2 - 19703809231150/4383155831*c_0101_2 - 8862523710066/4383155831, c_0011_0 - 1, c_0011_4 - 2901421383791/4383155831*c_0101_2^22 + 56699420253982/4383155831*c_0101_2^21 + 181037297408885/4383155831*c_0101_2^20 - 561574076530945/4383155831*c_0101_2^19 - 871540615606993/4383155831*c_0101_2^18 + 2167444091802264/4383155831*c_0101_2^17 + 1997602057799573/4383155831*c_0101_2^16 - 4845017152347345/4383155831*c_0101_2^15 - 2849191299371344/4383155831*c_0101_2^14 + 7087771933135429/4383155831*c_0101_2^13 + 2976223847740628/4383155831*c_0101_2^12 - 7150412795789259/4383155831*c_0101_2^11 - 2553521220869769/4383155831*c_0101_2^10 + 5042415129737936/4383155831*c_0101_2^9 + 1806947111996170/4383155831*c_0101_2^8 - 2442227905566532/4383155831*c_0101_2^7 - 953362141457994/4383155831*c_0101_2^6 + 770484100478691/4383155831*c_0101_2^5 + 331199734131499/4383155831*c_0101_2^4 - 141177153015251/4383155831*c_0101_2^3 - 188865455247/12631573*c_0101_2^2 + 11238147484210/4383155831*c_0101_2 + 5489351948770/4383155831, c_0011_5 + c_0101_2^22 - 19*c_0101_2^21 - 73*c_0101_2^20 + 160*c_0101_2^19 + 406*c_0101_2^18 - 587*c_0101_2^17 - 1096*c_0101_2^16 + 1307*c_0101_2^15 + 1891*c_0101_2^14 - 1932*c_0101_2^13 - 2352*c_0101_2^12 + 1937*c_0101_2^11 + 2215*c_0101_2^10 - 1287*c_0101_2^9 - 1563*c_0101_2^8 + 521*c_0101_2^7 + 784*c_0101_2^6 - 95*c_0101_2^5 - 258*c_0101_2^4 - 11*c_0101_2^3 + 49*c_0101_2^2 + 7*c_0101_2 - 4, c_0101_0 + 2876616578344/4383155831*c_0101_2^22 - 56248520434521/4383155831*c_0101_2^21 - 178860544397198/4383155831*c_0101_2^20 + 559503989749159/4383155831*c_0101_2^19 + 859694435179401/4383155831*c_0101_2^18 - 2164332626097862/4383155831*c_0101_2^17 - 1965130925833595/4383155831*c_0101_2^16 + 4844534216972137/4383155831*c_0101_2^15 + 2790350544275396/4383155831*c_0101_2^14 - 7094988402643001/4383155831*c_0101_2^13 - 2899928854265087/4383155831*c_0101_2^12 + 7167433076112941/4383155831*c_0101_2^11 + 2483020607765911/4383155831*c_0101_2^10 - 5064873159556085/4383155831*c_0101_2^9 - 1762592703625763/4383155831*c_0101_2^8 + 2460806892855235/4383155831*c_0101_2^7 + 935676767832767/4383155831*c_0101_2^6 - 779787418187026/4383155831*c_0101_2^5 - 327254793248878/4383155831*c_0101_2^4 + 143713967817785/4383155831*c_0101_2^3 + 187903532562/12631573*c_0101_2^2 - 11518925245833/4383155831*c_0101_2 - 5502269693337/4383155831, c_0101_1 + 2124185000401/4383155831*c_0101_2^22 - 41367557871180/4383155831*c_0101_2^21 - 135477650353422/4383155831*c_0101_2^20 + 405004132620236/4383155831*c_0101_2^19 + 672981386990896/4383155831*c_0101_2^18 - 1574014790764123/4383155831*c_0101_2^17 - 1593664951104969/4383155831*c_0101_2^16 + 3560066346447495/4383155831*c_0101_2^15 + 2354584978453690/4383155831*c_0101_2^14 - 5277626721249125/4383155831*c_0101_2^13 - 2528992800276102/4383155831*c_0101_2^12 + 5389245650261119/4383155831*c_0101_2^11 + 2186342434684667/4383155831*c_0101_2^10 - 3837731546047475/4383155831*c_0101_2^9 - 1531633590599978/4383155831*c_0101_2^8 + 1872837988804386/4383155831*c_0101_2^7 + 797904361615505/4383155831*c_0101_2^6 - 594899137056728/4383155831*c_0101_2^5 - 275043725846241/4383155831*c_0101_2^4 + 109875643378441/4383155831*c_0101_2^3 + 156438264993/12631573*c_0101_2^2 - 8835596309226/4383155831*c_0101_2 - 4554715853535/4383155831, c_0101_2^23 - 19*c_0101_2^22 - 73*c_0101_2^21 + 160*c_0101_2^20 + 406*c_0101_2^19 - 587*c_0101_2^18 - 1096*c_0101_2^17 + 1307*c_0101_2^16 + 1891*c_0101_2^15 - 1932*c_0101_2^14 - 2352*c_0101_2^13 + 1937*c_0101_2^12 + 2215*c_0101_2^11 - 1287*c_0101_2^10 - 1563*c_0101_2^9 + 521*c_0101_2^8 + 784*c_0101_2^7 - 95*c_0101_2^6 - 258*c_0101_2^5 - 11*c_0101_2^4 + 49*c_0101_2^3 + 8*c_0101_2^2 - 4*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB