Magma V2.19-8 Tue Aug 20 2013 16:14:37 on localhost [Seed = 3802365668] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s605 geometric_solution 5.08458248 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 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434690650965 0.826253582285 0 3 2 4 0132 0132 1230 0132 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 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 0.941193214841 1.034441640980 3 0 4 1 2310 0132 0132 3012 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 -1 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 0.941193214841 1.034441640980 3 1 2 3 3201 0132 3201 2310 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 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 -0.143382241744 0.725989690783 5 5 1 2 0132 3201 0132 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 -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 0.434690650965 0.826253582285 4 5 4 5 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.885944360127 0.534976009572 ==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' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0011_4']), '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], '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_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], '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_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 38486205/1496*c_0101_3^16 + 58153167/1496*c_0101_3^15 - 165240327/1496*c_0101_3^14 - 17438131/187*c_0101_3^13 + 3255660/17*c_0101_3^12 + 24512764/187*c_0101_3^11 - 150125749/748*c_0101_3^10 - 17731171/136*c_0101_3^9 + 27184126/187*c_0101_3^8 + 145946429/1496*c_0101_3^7 - 14767851/187*c_0101_3^6 - 74542235/1496*c_0101_3^5 + 47136159/1496*c_0101_3^4 + 11393081/748*c_0101_3^3 - 12459737/1496*c_0101_3^2 - 3136275/1496*c_0101_3 + 1628245/1496, c_0011_0 - 1, c_0011_4 - 1956096/187*c_0101_3^16 - 2526849/187*c_0101_3^15 + 9281667/187*c_0101_3^14 + 5730407/187*c_0101_3^13 - 1532801/17*c_0101_3^12 - 8020823/187*c_0101_3^11 + 18492735/187*c_0101_3^10 + 757492/17*c_0101_3^9 - 14065210/187*c_0101_3^8 - 6645850/187*c_0101_3^7 + 8028584/187*c_0101_3^6 + 3584282/187*c_0101_3^5 - 3320464/187*c_0101_3^4 - 1142023/187*c_0101_3^3 + 885636/187*c_0101_3^2 + 161765/187*c_0101_3 - 113589/187, c_0101_0 + 799848/187*c_0101_3^16 + 1153683/187*c_0101_3^15 - 3546636/187*c_0101_3^14 - 2732989/187*c_0101_3^13 + 566084/17*c_0101_3^12 + 3844031/187*c_0101_3^11 - 6610157/187*c_0101_3^10 - 351754/17*c_0101_3^9 + 4853384/187*c_0101_3^8 + 2941874/187*c_0101_3^7 - 2674943/187*c_0101_3^6 - 1522443/187*c_0101_3^5 + 1076077/187*c_0101_3^4 + 468882/187*c_0101_3^3 - 283967/187*c_0101_3^2 - 64674/187*c_0101_3 + 36615/187, c_0101_1 + 1357749/374*c_0101_3^16 + 1946457/374*c_0101_3^15 - 6043683/374*c_0101_3^14 - 2302384/187*c_0101_3^13 + 482568/17*c_0101_3^12 + 3240469/187*c_0101_3^11 - 5635884/187*c_0101_3^10 - 594489/34*c_0101_3^9 + 4137597/187*c_0101_3^8 + 4982291/374*c_0101_3^7 - 2279012/187*c_0101_3^6 - 2581155/374*c_0101_3^5 + 1829213/374*c_0101_3^4 + 397473/187*c_0101_3^3 - 480833/374*c_0101_3^2 - 109535/374*c_0101_3 + 61521/374, c_0101_2 - 27*c_0101_3^16 - 54*c_0101_3^15 + 102*c_0101_3^14 + 167*c_0101_3^13 - 172*c_0101_3^12 - 268*c_0101_3^11 + 170*c_0101_3^10 + 285*c_0101_3^9 - 107*c_0101_3^8 - 219*c_0101_3^7 + 43*c_0101_3^6 + 121*c_0101_3^5 - 10*c_0101_3^4 - 45*c_0101_3^3 + c_0101_3^2 + 9*c_0101_3, c_0101_3^17 + 2*c_0101_3^16 - 34/9*c_0101_3^15 - 167/27*c_0101_3^14 + 172/27*c_0101_3^13 + 268/27*c_0101_3^12 - 170/27*c_0101_3^11 - 95/9*c_0101_3^10 + 107/27*c_0101_3^9 + 73/9*c_0101_3^8 - 43/27*c_0101_3^7 - 121/27*c_0101_3^6 + 10/27*c_0101_3^5 + 5/3*c_0101_3^4 - 1/27*c_0101_3^3 - 10/27*c_0101_3^2 + 1/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB