Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 3263389202] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1210 geometric_solution 5.10627180 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 0.604078490919 0.211913699043 2 0 3 0 0132 2310 0132 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 1 -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 0.921905876335 0.305178218444 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 -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 0.703945361031 0.658897356403 5 2 4 1 0132 1230 0132 0132 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 1 0 -1 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 0.703945361031 0.658897356403 4 2 4 3 2310 0132 3201 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.432621693399 1.262753617381 3 6 2 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 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 2.407385168609 1.092589216594 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 -1 1 1 0 -1 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 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392827173155 0.346249073424 ==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' : negation(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' : negation(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_0101_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 3249199000/24490719*c_0110_6^9 + 6749240617/24490719*c_0110_6^8 - 38470813672/24490719*c_0110_6^7 - 100449026828/24490719*c_0110_6^6 - 124708696480/24490719*c_0110_6^5 - 40018699313/8163573*c_0110_6^4 - 6438692162/2721191*c_0110_6^3 + 2094900068/24490719*c_0110_6^2 + 15232485820/8163573*c_0110_6 - 41942535803/24490719, c_0011_0 - 1, c_0011_1 - 2247802/24490719*c_0110_6^9 - 5146723/24490719*c_0110_6^8 + 25226506/24490719*c_0110_6^7 + 75286913/24490719*c_0110_6^6 + 105733504/24490719*c_0110_6^5 + 33498470/8163573*c_0110_6^4 + 7844546/2721191*c_0110_6^3 + 14043685/24490719*c_0110_6^2 - 4062414/2721191*c_0110_6 + 16129637/24490719, c_0011_3 + 66182/8163573*c_0101_3*c_0110_6^9 - 91646/2721191*c_0101_3*c_0110_6^8 - 2072993/8163573*c_0101_3*c_0110_6^7 + 2240158/8163573*c_0101_3*c_0110_6^6 + 5334245/2721191*c_0101_3*c_0110_6^5 + 7690982/2721191*c_0101_3*c_0110_6^4 + 6811832/2721191*c_0101_3*c_0110_6^3 + 13437880/8163573*c_0101_3*c_0110_6^2 + 2325962/8163573*c_0101_3*c_0110_6 - 2704957/2721191*c_0101_3, c_0101_0 - 168173/24490719*c_0110_6^9 - 1500536/24490719*c_0110_6^8 - 269950/24490719*c_0110_6^7 + 18570208/24490719*c_0110_6^6 + 40983977/24490719*c_0110_6^5 + 18198688/8163573*c_0110_6^4 + 4140464/2721191*c_0110_6^3 + 1519193/24490719*c_0110_6^2 - 6607102/8163573*c_0110_6 - 14960171/24490719, c_0101_1 + 407302/8163573*c_0110_6^9 + 1278809/8163573*c_0110_6^8 - 4225618/8163573*c_0110_6^7 - 6128429/2721191*c_0110_6^6 - 25323134/8163573*c_0110_6^5 - 7142742/2721191*c_0110_6^4 - 4435172/2721191*c_0110_6^3 - 1399414/8163573*c_0110_6^2 + 15351896/8163573*c_0110_6 + 66182/8163573, c_0101_3^2 - 512948/24490719*c_0110_6^9 - 655148/24490719*c_0110_6^8 + 6274826/24490719*c_0110_6^7 + 10065526/24490719*c_0110_6^6 + 14882051/24490719*c_0110_6^5 + 6035122/8163573*c_0110_6^4 + 1704687/2721191*c_0110_6^3 - 7322638/24490719*c_0110_6^2 + 1582327/8163573*c_0110_6 - 4081268/24490719, c_0110_6^10 + 2*c_0110_6^9 - 12*c_0110_6^8 - 30*c_0110_6^7 - 36*c_0110_6^6 - 34*c_0110_6^5 - 15*c_0110_6^4 + 2*c_0110_6^3 + 14*c_0110_6^2 - 14*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB