Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 576962321] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2824 geometric_solution 6.04633017 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 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 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 1.082160080085 0.965095790394 0 0 4 3 0132 0321 0132 3201 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 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 0 0 0 0.555102855401 0.774518454476 4 0 5 3 0321 0132 0132 2310 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 -1 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 0 0 0 0.009292990449 0.864368742532 2 1 5 0 3201 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 1 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208728297092 0.445179971313 2 6 5 1 0321 0132 1023 0132 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 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 0.416863731905 0.694590568846 6 3 4 2 2103 3201 1023 0132 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124231476626 3.045463454878 6 4 5 6 3012 0132 2103 1230 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.197362844353 0.553091742712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_4']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2']})} 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_0011_4, c_0011_5, c_0101_0, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 51035456/3841475*c_1001_2^8 - 17352568/349225*c_1001_2^7 - 48587428/3841475*c_1001_2^6 + 191105734/3841475*c_1001_2^5 - 226150376/3841475*c_1001_2^4 - 9178175/153659*c_1001_2^3 + 162193236/3841475*c_1001_2^2 - 5959798/3841475*c_1001_2 - 14347996/3841475, c_0011_0 - 1, c_0011_3 + 5048/13969*c_1001_2^8 + 31044/13969*c_1001_2^7 + 33662/13969*c_1001_2^6 - 63680/13969*c_1001_2^5 - 28924/13969*c_1001_2^4 + 117081/13969*c_1001_2^3 - 33071/13969*c_1001_2^2 - 71009/13969*c_1001_2 + 23295/13969, c_0011_4 - 13376/13969*c_1001_2^8 - 45776/13969*c_1001_2^7 + 13612/13969*c_1001_2^6 + 98914/13969*c_1001_2^5 - 49035/13969*c_1001_2^4 - 82748/13969*c_1001_2^3 + 92722/13969*c_1001_2^2 + 36269/13969*c_1001_2 - 22033/13969, c_0011_5 + 2656/13969*c_1001_2^8 + 6416/13969*c_1001_2^7 - 16204/13969*c_1001_2^6 - 31070/13969*c_1001_2^5 + 31559/13969*c_1001_2^4 + 24986/13969*c_1001_2^3 - 57979/13969*c_1001_2^2 - 10176/13969*c_1001_2 + 20182/13969, c_0101_0 + 39768/13969*c_1001_2^8 + 141844/13969*c_1001_2^7 + 13702/13969*c_1001_2^6 - 159152/13969*c_1001_2^5 + 177792/13969*c_1001_2^4 + 161969/13969*c_1001_2^3 - 127041/13969*c_1001_2^2 - 20416/13969*c_1001_2 + 30124/13969, c_0101_5 + 53484/13969*c_1001_2^8 + 226814/13969*c_1001_2^7 + 159669/13969*c_1001_2^6 - 148987/13969*c_1001_2^5 + 130328/13969*c_1001_2^4 + 340944/13969*c_1001_2^3 - 10939/13969*c_1001_2^2 - 50919/13969*c_1001_2 + 24825/13969, c_1001_2^9 + 9/2*c_1001_2^8 + 15/4*c_1001_2^7 - 13/4*c_1001_2^6 + 5/4*c_1001_2^5 + 31/4*c_1001_2^4 + 1/4*c_1001_2^3 - 9/4*c_1001_2^2 + 1/2*c_1001_2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB