Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 1461111665] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s125 geometric_solution 4.11370644 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 -1 1 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 -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 0.704639362053 0.130759872256 0 1 0 1 0132 1302 1023 2031 0 0 0 0 0 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639006399067 0.048285625364 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 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 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 0.731009205064 0.488609510800 2 5 5 4 0132 0132 3201 2310 0 0 0 0 0 0 0 0 -1 0 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 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 0.648393712205 0.743049376209 3 5 5 2 3201 2310 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 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 0.648393712205 0.743049376209 3 3 4 4 2310 0132 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.333296462888 0.764032158305 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(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' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_3']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 114181/64512*c_0101_5^11 + 32489/9216*c_0101_5^10 - 75299/9216*c_0101_5^9 - 4639/144*c_0101_5^8 + 2130179/64512*c_0101_5^7 + 8279197/64512*c_0101_5^6 - 2689669/32256*c_0101_5^5 - 4535773/16128*c_0101_5^4 + 125231/1008*c_0101_5^3 + 1334813/4032*c_0101_5^2 - 20191/252*c_0101_5 - 165773/1008, c_0011_0 - 1, c_0101_0 - 29/64*c_0101_5^11 - 79/64*c_0101_5^10 + 105/64*c_0101_5^9 + 157/16*c_0101_5^8 - 255/64*c_0101_5^7 - 2637/64*c_0101_5^6 + 215/32*c_0101_5^5 + 757/8*c_0101_5^4 - 57/8*c_0101_5^3 - 481/4*c_0101_5^2 + 4*c_0101_5 + 65, c_0101_1 + 13/16*c_0101_5^11 + 13/8*c_0101_5^10 - 15/4*c_0101_5^9 - 237/16*c_0101_5^8 + 241/16*c_0101_5^7 + 59*c_0101_5^6 - 611/16*c_0101_5^5 - 257/2*c_0101_5^4 + 455/8*c_0101_5^3 + 150*c_0101_5^2 - 73/2*c_0101_5 - 72, c_0101_2 - 1/64*c_0101_5^11 - 1/64*c_0101_5^10 + 7/64*c_0101_5^9 + 7/32*c_0101_5^8 - 39/64*c_0101_5^7 - 59/64*c_0101_5^6 + 33/16*c_0101_5^5 + 2*c_0101_5^4 - 33/8*c_0101_5^3 - 9/4*c_0101_5^2 + 7/2*c_0101_5 + 1, c_0101_3 - 1/8*c_0101_5^11 - 1/4*c_0101_5^10 + 1/2*c_0101_5^9 + 17/8*c_0101_5^8 - 17/8*c_0101_5^7 - 8*c_0101_5^6 + 39/8*c_0101_5^5 + 33/2*c_0101_5^4 - 29/4*c_0101_5^3 - 18*c_0101_5^2 + 9/2*c_0101_5 + 8, c_0101_5^12 + c_0101_5^11 - 7*c_0101_5^10 - 14*c_0101_5^9 + 39*c_0101_5^8 + 59*c_0101_5^7 - 132*c_0101_5^6 - 128*c_0101_5^5 + 264*c_0101_5^4 + 144*c_0101_5^3 - 288*c_0101_5^2 - 64*c_0101_5 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB