Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 2084429888] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s036 geometric_solution 3.57250575 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 1.349872802037 0.111065372253 0 2 2 0 3201 0132 1023 0132 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 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 1.115185697697 0.097389663193 3 1 1 3 0132 0132 1023 1023 0 0 0 0 0 1 0 -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 0 0 0 0 -1 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125346632019 0.230901509329 2 4 5 2 0132 0132 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 1 -1 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 0.801584952733 0.418613014876 5 3 5 5 2031 0132 1302 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515787365793 0.496224320761 4 4 4 3 2031 2310 1302 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 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 0.515787365793 0.496224320761 ==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_1'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 38753624917/468316196*c_0110_4^11 - 99076413725/468316196*c_0110_4^10 + 84913368059/234158098*c_0110_4^9 - 200484854373/234158098*c_0110_4^8 - 391386684652/117079049*c_0110_4^7 + 2707682829967/468316196*c_0110_4^6 + 812403961299/117079049*c_0110_4^5 - 212723666479/234158098*c_0110_4^4 + 1210013799115/468316196*c_0110_4^3 + 145288207601/468316196*c_0110_4^2 - 291845833297/234158098*c_0110_4 - 58126400231/468316196, c_0011_0 - 1, c_0011_1 + 80992160/117079049*c_0110_4^11 - 423923043/234158098*c_0110_4^10 + 369717615/117079049*c_0110_4^9 - 867465364/117079049*c_0110_4^8 - 3203450508/117079049*c_0110_4^7 + 5814745412/117079049*c_0110_4^6 + 12796199943/234158098*c_0110_4^5 - 2183673719/234158098*c_0110_4^4 + 5128893063/234158098*c_0110_4^3 + 218331991/117079049*c_0110_4^2 - 2361359223/234158098*c_0110_4 - 247076037/234158098, c_0101_0 + 834527177/468316196*c_0110_4^11 - 2055043289/468316196*c_0110_4^10 + 1736473405/234158098*c_0110_4^9 - 4170927999/234158098*c_0110_4^8 - 8602552096/117079049*c_0110_4^7 + 54864518191/468316196*c_0110_4^6 + 18758471065/117079049*c_0110_4^5 - 706032723/234158098*c_0110_4^4 + 25551571139/468316196*c_0110_4^3 + 5874746749/468316196*c_0110_4^2 - 5717004819/234158098*c_0110_4 - 2197485195/468316196, c_0101_2 + 627125599/468316196*c_0110_4^11 - 1538914655/468316196*c_0110_4^10 + 1290326243/234158098*c_0110_4^9 - 3094044253/234158098*c_0110_4^8 - 6514758621/117079049*c_0110_4^7 + 41367191157/468316196*c_0110_4^6 + 14225423153/117079049*c_0110_4^5 - 846801185/234158098*c_0110_4^4 + 19464102205/468316196*c_0110_4^3 + 3830492711/468316196*c_0110_4^2 - 4282711313/234158098*c_0110_4 - 1586289869/468316196, c_0101_3 - 298733859/468316196*c_0110_4^11 + 732146143/468316196*c_0110_4^10 - 617429799/234158098*c_0110_4^9 + 1477158211/234158098*c_0110_4^8 + 3103905994/117079049*c_0110_4^7 - 19630335029/468316196*c_0110_4^6 - 6685684524/117079049*c_0110_4^5 + 275188803/234158098*c_0110_4^4 - 10760746453/468316196*c_0110_4^3 - 2462586003/468316196*c_0110_4^2 + 1903089121/234158098*c_0110_4 + 775712281/468316196, c_0110_4^12 - 2*c_0110_4^11 + 3*c_0110_4^10 - 8*c_0110_4^9 - 46*c_0110_4^8 + 47*c_0110_4^7 + 121*c_0110_4^6 + 38*c_0110_4^5 + 29*c_0110_4^4 + 22*c_0110_4^3 - 11*c_0110_4^2 - 9*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB