Magma V2.19-8 Tue Aug 20 2013 16:16:12 on localhost [Seed = 273779920] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0469 geometric_solution 4.50082394 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 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 -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 0 0 0 0 0 0 0.558776629955 0.351689151537 0 2 2 3 0132 2031 1230 0132 0 0 0 0 0 -1 1 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718156973883 0.806780853191 1 0 3 1 1302 0132 2310 3012 0 0 0 0 0 0 1 -1 1 0 0 -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 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 0.718156973883 0.806780853191 4 2 1 4 0132 3201 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 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 0.526745126669 0.502129649294 3 5 5 3 0132 0132 1023 1023 0 0 0 0 0 0 -1 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 0 1 -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 1.305910448195 0.396072389366 6 4 4 6 0132 0132 1023 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 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 1.331464840608 0.121922583991 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 -1 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 0 1 -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 1.509579325685 0.066920092431 ==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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_0']), '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' : d['c_0101_4'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 88838437/13578391*c_0101_6^13 + 330569754/13578391*c_0101_6^12 + 838268461/13578391*c_0101_6^11 - 3504272263/13578391*c_0101_6^10 - 1283621514/13578391*c_0101_6^9 + 11796113094/13578391*c_0101_6^8 - 4282698746/13578391*c_0101_6^7 - 15336277363/13578391*c_0101_6^6 + 9322277040/13578391*c_0101_6^5 + 9038259773/13578391*c_0101_6^4 - 363013096/13578391*c_0101_6^3 - 4630343039/13578391*c_0101_6^2 - 1259207111/13578391*c_0101_6 + 65837302/13578391, c_0011_0 - 1, c_0011_3 + 94742765/13578391*c_0101_6^13 - 223723263/13578391*c_0101_6^12 - 1151157583/13578391*c_0101_6^11 + 2122927158/13578391*c_0101_6^10 + 3594111114/13578391*c_0101_6^9 - 7474379297/13578391*c_0101_6^8 - 3178371096/13578391*c_0101_6^7 + 11249449914/13578391*c_0101_6^6 + 1508003748/13578391*c_0101_6^5 - 6120222515/13578391*c_0101_6^4 - 3429681628/13578391*c_0101_6^3 + 1484202076/13578391*c_0101_6^2 + 1357501821/13578391*c_0101_6 + 248189678/13578391, c_0101_0 + 66782942/13578391*c_0101_6^13 - 162424939/13578391*c_0101_6^12 - 800250551/13578391*c_0101_6^11 + 1551549629/13578391*c_0101_6^10 + 2431207570/13578391*c_0101_6^9 - 5419498913/13578391*c_0101_6^8 - 1896639519/13578391*c_0101_6^7 + 7999794645/13578391*c_0101_6^6 + 599063608/13578391*c_0101_6^5 - 4283926585/13578391*c_0101_6^4 - 2257632737/13578391*c_0101_6^3 + 1113452943/13578391*c_0101_6^2 + 920081496/13578391*c_0101_6 + 161726861/13578391, c_0101_1 - 9073525/13578391*c_0101_6^13 + 19449893/13578391*c_0101_6^12 + 116770425/13578391*c_0101_6^11 - 182408405/13578391*c_0101_6^10 - 412259761/13578391*c_0101_6^9 + 663439933/13578391*c_0101_6^8 + 537441812/13578391*c_0101_6^7 - 1083217402/13578391*c_0101_6^6 - 477256599/13578391*c_0101_6^5 + 659388084/13578391*c_0101_6^4 + 568033018/13578391*c_0101_6^3 - 83518929/13578391*c_0101_6^2 - 227570156/13578391*c_0101_6 - 67402607/13578391, c_0101_4 + 1302843/13578391*c_0101_6^13 - 1185400/13578391*c_0101_6^12 - 19084955/13578391*c_0101_6^11 + 5122389/13578391*c_0101_6^10 + 73660808/13578391*c_0101_6^9 - 25116738/13578391*c_0101_6^8 - 121423752/13578391*c_0101_6^7 + 58081376/13578391*c_0101_6^6 + 133123634/13578391*c_0101_6^5 + 23621518/13578391*c_0101_6^4 - 65371879/13578391*c_0101_6^3 - 46099656/13578391*c_0101_6^2 + 5185593/13578391*c_0101_6 - 4504866/13578391, c_0101_5 - 86663971/13578391*c_0101_6^13 + 204973919/13578391*c_0101_6^12 + 1051334417/13578391*c_0101_6^11 - 1944095000/13578391*c_0101_6^10 - 3268479346/13578391*c_0101_6^9 + 6832561974/13578391*c_0101_6^8 + 2838370124/13578391*c_0101_6^7 - 10237232405/13578391*c_0101_6^6 - 1286673732/13578391*c_0101_6^5 + 5498855972/13578391*c_0101_6^4 + 3083843800/13578391*c_0101_6^3 - 1328405965/13578391*c_0101_6^2 - 1202008167/13578391*c_0101_6 - 218099064/13578391, c_0101_6^14 - 2*c_0101_6^13 - 13*c_0101_6^12 + 18*c_0101_6^11 + 46*c_0101_6^10 - 65*c_0101_6^9 - 62*c_0101_6^8 + 106*c_0101_6^7 + 59*c_0101_6^6 - 58*c_0101_6^5 - 60*c_0101_6^4 + 2*c_0101_6^3 + 20*c_0101_6^2 + 8*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB