Magma V2.19-8 Tue Aug 20 2013 16:18:15 on localhost [Seed = 1612840283] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2470 geometric_solution 5.80656387 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 -1 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 0.425794135863 0.441174968328 3 4 2 0 0132 0132 2031 0132 0 0 0 0 0 0 1 -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 -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 0.439243015964 0.695220407317 4 5 0 1 2310 0132 0132 1302 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439243015964 0.695220407317 1 4 6 5 0132 2310 0132 1302 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 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 0.040586718212 1.114814686467 6 1 2 3 1230 0132 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899747910570 0.615375966037 6 2 3 6 2103 0132 2031 2310 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 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095086017298 0.841378622498 5 4 5 3 3201 3012 2103 0132 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 -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 -2.892828668934 0.924322667845 ==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' : negation(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_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_6, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 7405289/21444416*c_0101_5^9 + 1518375/2680552*c_0101_5^8 - 28244313/5361104*c_0101_5^7 - 38231867/21444416*c_0101_5^6 + 497435801/21444416*c_0101_5^5 - 174667011/21444416*c_0101_5^4 - 18949381/1531744*c_0101_5^3 + 4409245/382936*c_0101_5^2 - 1529040/335069*c_0101_5 - 7148465/670138, c_0011_0 - 1, c_0011_1 + 71917/765872*c_0101_4*c_0101_5^9 + 8352/47867*c_0101_4*c_0101_5^8 - 262439/191468*c_0101_4*c_0101_5^7 - 538255/765872*c_0101_4*c_0101_5^6 + 4487629/765872*c_0101_4*c_0101_5^5 - 1247351/765872*c_0101_4*c_0101_5^4 - 863711/382936*c_0101_4*c_0101_5^3 + 399063/95734*c_0101_4*c_0101_5^2 - 100007/47867*c_0101_4*c_0101_5 - 100837/47867*c_0101_4, c_0011_6 - 100837/765872*c_0101_4*c_0101_5^9 - 115297/382936*c_0101_4*c_0101_5^8 + 335919/191468*c_0101_4*c_0101_5^7 + 1269495/765872*c_0101_4*c_0101_5^6 - 5378431/765872*c_0101_4*c_0101_5^5 - 352547/765872*c_0101_4*c_0101_5^4 + 267975/191468*c_0101_4*c_0101_5^3 - 784785/191468*c_0101_4*c_0101_5^2 - 4285/95734*c_0101_4*c_0101_5 + 48697/47867*c_0101_4, c_0101_1 + 9359/382936*c_0101_5^9 + 21921/382936*c_0101_5^8 - 14240/47867*c_0101_5^7 - 116941/382936*c_0101_5^6 + 84883/95734*c_0101_5^5 + 17451/47867*c_0101_5^4 + 556883/382936*c_0101_5^3 - 190579/191468*c_0101_5^2 - 53555/95734*c_0101_5 + 23220/47867, c_0101_2 + 272987/765872*c_0101_4*c_0101_5^9 + 39328/47867*c_0101_4*c_0101_5^8 - 230587/47867*c_0101_4*c_0101_5^7 - 3628697/765872*c_0101_4*c_0101_5^6 + 15370123/765872*c_0101_4*c_0101_5^5 + 1655699/765872*c_0101_4*c_0101_5^4 - 3246895/382936*c_0101_4*c_0101_5^3 + 2596763/191468*c_0101_4*c_0101_5^2 + 162047/95734*c_0101_4*c_0101_5 - 319484/47867*c_0101_4, c_0101_4^2 + 47717/191468*c_0101_5^9 + 27656/47867*c_0101_5^8 - 643389/191468*c_0101_5^7 - 648271/191468*c_0101_5^6 + 2667689/191468*c_0101_5^5 + 98898/47867*c_0101_5^4 - 1077031/191468*c_0101_5^3 + 1429931/191468*c_0101_5^2 + 104207/95734*c_0101_5 - 247567/47867, c_0101_5^10 + 3*c_0101_5^9 - 12*c_0101_5^8 - 23*c_0101_5^7 + 48*c_0101_5^6 + 48*c_0101_5^5 - 23*c_0101_5^4 + 14*c_0101_5^3 + 32*c_0101_5^2 - 16*c_0101_5 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB