Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 1814949962] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s152 geometric_solution 4.22234092 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.685691985475 0.248369450832 0 2 2 0 3201 0132 1023 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 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 1.269605279480 0.731073466731 3 1 1 4 0132 0132 1023 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 -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 0.267671192256 0.308688107002 2 5 4 4 0132 0132 1302 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138448036186 0.863674860502 3 3 2 5 2031 2310 0132 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 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 0.138448036186 0.863674860502 4 3 5 5 3201 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.819046331262 1.128836052210 ==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_0101_2'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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' : d['c_0011_4'], '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), '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' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), '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_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 10314774/1031821*c_0101_5^11 - 3492522/147403*c_0101_5^10 + 16321550/147403*c_0101_5^9 + 99675231/1031821*c_0101_5^8 - 268265797/1031821*c_0101_5^7 + 221119910/1031821*c_0101_5^6 - 116144288/1031821*c_0101_5^5 - 229452819/1031821*c_0101_5^4 + 492928239/1031821*c_0101_5^3 - 345717293/1031821*c_0101_5^2 + 139674331/1031821*c_0101_5 - 50927250/1031821, c_0011_0 - 1, c_0011_1 - 636296/1031821*c_0101_5^11 - 2380249/1031821*c_0101_5^10 + 4500875/1031821*c_0101_5^9 + 14573866/1031821*c_0101_5^8 - 2831328/1031821*c_0101_5^7 - 2450961/1031821*c_0101_5^6 - 788915/1031821*c_0101_5^5 - 20646378/1031821*c_0101_5^4 + 4767828/1031821*c_0101_5^3 + 4664652/1031821*c_0101_5^2 - 1255991/1031821*c_0101_5 + 2147207/1031821, c_0011_4 + 117794/1031821*c_0101_5^11 + 421647/1031821*c_0101_5^10 - 844512/1031821*c_0101_5^9 - 2351002/1031821*c_0101_5^8 + 484153/1031821*c_0101_5^7 - 954148/1031821*c_0101_5^6 + 661371/1031821*c_0101_5^5 + 4221786/1031821*c_0101_5^4 - 1018753/1031821*c_0101_5^3 - 69863/1031821*c_0101_5^2 - 657432/1031821*c_0101_5 + 252669/1031821, c_0101_0 + 1125968/1031821*c_0101_5^11 + 4004962/1031821*c_0101_5^10 - 8235457/1031821*c_0101_5^9 - 22500535/1031821*c_0101_5^8 + 6194332/1031821*c_0101_5^7 - 6917283/1031821*c_0101_5^6 + 2698926/1031821*c_0101_5^5 + 34400831/1031821*c_0101_5^4 - 14973796/1031821*c_0101_5^3 + 4874897/1031821*c_0101_5^2 - 1158838/1031821*c_0101_5 - 1783412/1031821, c_0101_2 + 839334/1031821*c_0101_5^11 + 2813287/1031821*c_0101_5^10 - 6777479/1031821*c_0101_5^9 - 15623571/1031821*c_0101_5^8 + 8241708/1031821*c_0101_5^7 - 5224880/1031821*c_0101_5^6 + 2925876/1031821*c_0101_5^5 + 23712074/1031821*c_0101_5^4 - 15826171/1031821*c_0101_5^3 + 5961356/1031821*c_0101_5^2 - 2449268/1031821*c_0101_5 - 385530/1031821, c_0101_5^12 + 3*c_0101_5^11 - 9*c_0101_5^10 - 15*c_0101_5^9 + 14*c_0101_5^8 - 14*c_0101_5^7 + 10*c_0101_5^6 + 26*c_0101_5^5 - 28*c_0101_5^4 + 21*c_0101_5^3 - 12*c_0101_5^2 + 3*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB