Magma V2.19-8 Tue Aug 20 2013 23:29:49 on localhost [Seed = 2295262942] Type ? for help. Type -D to quit. Loading file "K14n27326__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n27326 geometric_solution 6.41740739 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 9 1 1 2 2 0132 3201 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 -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 0.384975038533 0.168987432122 0 3 0 3 0132 0132 2310 2310 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 -14 0 14 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 -0.650836151730 0.970715847260 4 0 5 0 0132 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190740420589 0.888433875026 1 1 6 7 3201 0132 0132 0132 0 0 0 0 0 1 -1 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 14 -14 0 0 0 0 0 -14 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.041961096051 1.740873420252 2 5 6 6 0132 3201 3201 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 1.743923552670 1.705393009313 6 7 4 2 2310 2310 2310 0132 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 14 -13 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.852017019458 0.817777102332 4 4 5 3 2310 0321 3201 0132 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 -14 14 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 0.457688430271 0.500451162908 8 8 3 5 0132 2310 0132 3201 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 -13 0 13 0 0 0 0 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029392651807 0.716401273452 7 8 8 7 0132 3201 2310 3201 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 -13 0 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.852017019458 0.817777102332 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_8' : negation(d['c_0101_8']), 's_2_8' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_2']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_0101_8'], 'c_1010_8' : d['c_0101_8'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 203117125/22626348*c_0101_8^12 - 2693448515/45252696*c_0101_8^11 - 4630887835/22626348*c_0101_8^10 + 606036323/45252696*c_0101_8^9 + 2854019671/22626348*c_0101_8^8 - 3469798837/45252696*c_0101_8^7 + 4239439733/15084232*c_0101_8^6 + 2732442869/45252696*c_0101_8^5 - 267984258/1885529*c_0101_8^4 + 10652426777/45252696*c_0101_8^3 - 6224177393/45252696*c_0101_8^2 + 1154110225/45252696*c_0101_8 + 2318041/11313174, c_0011_0 - 1, c_0011_2 + 6962075/16969761*c_0101_8^12 - 46522537/16969761*c_0101_8^11 - 161468219/16969761*c_0101_8^10 + 16627358/5656587*c_0101_8^9 + 77008021/5656587*c_0101_8^8 + 2825419/5656587*c_0101_8^7 + 61770728/5656587*c_0101_8^6 + 2953867/5656587*c_0101_8^5 - 288747116/16969761*c_0101_8^4 + 79852541/16969761*c_0101_8^3 - 25333318/5656587*c_0101_8^2 - 33416846/16969761*c_0101_8 + 32055568/16969761, c_0011_5 - 20739383/16969761*c_0101_8^12 + 134314132/16969761*c_0101_8^11 + 507388925/16969761*c_0101_8^10 - 11177410/5656587*c_0101_8^9 - 228205007/5656587*c_0101_8^8 - 19750791/1885529*c_0101_8^7 - 58594896/1885529*c_0101_8^6 - 17622386/1885529*c_0101_8^5 + 747053204/16969761*c_0101_8^4 - 82076327/16969761*c_0101_8^3 + 55579849/5656587*c_0101_8^2 + 138785705/16969761*c_0101_8 - 31881766/16969761, c_0011_6 + 23668276/16969761*c_0101_8^12 - 155399036/16969761*c_0101_8^11 - 565112545/16969761*c_0101_8^10 + 29955860/5656587*c_0101_8^9 + 254115685/5656587*c_0101_8^8 + 39354874/5656587*c_0101_8^7 + 202389968/5656587*c_0101_8^6 + 11319384/1885529*c_0101_8^5 - 853319320/16969761*c_0101_8^4 + 219667816/16969761*c_0101_8^3 - 26388298/1885529*c_0101_8^2 - 106576315/16969761*c_0101_8 + 48665609/16969761, c_0011_7 - 4956142/16969761*c_0101_8^12 + 33919265/16969761*c_0101_8^11 + 109201174/16969761*c_0101_8^10 - 17098129/5656587*c_0101_8^9 - 50857280/5656587*c_0101_8^8 + 2946681/1885529*c_0101_8^7 - 11877686/1885529*c_0101_8^6 + 2860561/5656587*c_0101_8^5 + 176575423/16969761*c_0101_8^4 - 100485958/16969761*c_0101_8^3 + 3577330/1885529*c_0101_8^2 + 31182280/16969761*c_0101_8 - 23402777/16969761, c_0101_0 + 38754083/16969761*c_0101_8^12 - 254037610/16969761*c_0101_8^11 - 928437029/16969761*c_0101_8^10 + 46533553/5656587*c_0101_8^9 + 421601113/5656587*c_0101_8^8 + 71105474/5656587*c_0101_8^7 + 325901843/5656587*c_0101_8^6 + 21852422/1885529*c_0101_8^5 - 1402632578/16969761*c_0101_8^4 + 292980068/16969761*c_0101_8^3 - 122947813/5656587*c_0101_8^2 - 197662076/16969761*c_0101_8 + 75591991/16969761, c_0101_1 - 3377023/16969761*c_0101_8^12 + 20315732/16969761*c_0101_8^11 + 93897649/16969761*c_0101_8^10 + 2638233/1885529*c_0101_8^9 - 15161429/1885529*c_0101_8^8 - 19822130/5656587*c_0101_8^7 - 21279637/5656587*c_0101_8^6 - 20621014/5656587*c_0101_8^5 + 120423361/16969761*c_0101_8^4 + 14220593/16969761*c_0101_8^3 - 1198448/1885529*c_0101_8^2 + 43876396/16969761*c_0101_8 + 3118132/16969761, c_0101_7 - 6004900/5656587*c_0101_8^12 + 39907826/5656587*c_0101_8^11 + 140349368/5656587*c_0101_8^10 - 11785381/1885529*c_0101_8^9 - 193396106/5656587*c_0101_8^8 - 11853101/5656587*c_0101_8^7 - 150117155/5656587*c_0101_8^6 - 4230036/1885529*c_0101_8^5 + 218526458/5656587*c_0101_8^4 - 23433749/1885529*c_0101_8^3 + 22455988/1885529*c_0101_8^2 + 6541819/1885529*c_0101_8 - 14570075/5656587, c_0101_8^13 - 7*c_0101_8^12 - 21*c_0101_8^11 + 14*c_0101_8^10 + 30*c_0101_8^9 - 9*c_0101_8^8 + 24*c_0101_8^7 - 6*c_0101_8^6 - 37*c_0101_8^5 + 24*c_0101_8^4 - 14*c_0101_8^3 - c_0101_8^2 + 4*c_0101_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB