Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 3398129389] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s143 geometric_solution 4.20398369 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 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 1 0 -1 0 0 1 -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 0.661033026600 0.204306020064 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.958091107513 0.222482417138 1 3 3 4 0132 0213 3012 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720952518760 0.510255853009 4 2 2 1 0132 1230 0213 0132 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 0 0 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720952518760 0.510255853009 3 5 2 5 0132 0132 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 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.775835325340 1.750826699266 4 4 5 5 3201 0132 2031 1302 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396594731526 0.262162709276 ==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_0011_1'], 'c_1100_4' : d['c_0011_3'], '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_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(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' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_1']), '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_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_3, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 727783/22587*c_0110_5^10 + 2997521/22587*c_0110_5^9 + 362302/22587*c_0110_5^8 - 7938898/22587*c_0110_5^7 + 897567/7529*c_0110_5^6 + 14094937/22587*c_0110_5^5 - 15740948/22587*c_0110_5^4 - 22905224/22587*c_0110_5^3 + 4382560/7529*c_0110_5^2 + 9494450/22587*c_0110_5 - 6074174/22587, c_0011_0 - 1, c_0011_1 - 2773/7529*c_0110_5^10 - 10155/7529*c_0110_5^9 + 2158/7529*c_0110_5^8 + 25226/7529*c_0110_5^7 - 19910/7529*c_0110_5^6 - 32449/7529*c_0110_5^5 + 63922/7529*c_0110_5^4 + 46225/7529*c_0110_5^3 - 36450/7529*c_0110_5^2 - 11358/7529*c_0110_5 + 5606/7529, c_0011_3 + 1026/7529*c_0110_5^10 + 6019/7529*c_0110_5^9 + 7279/7529*c_0110_5^8 - 11826/7529*c_0110_5^7 - 12584/7529*c_0110_5^6 + 32668/7529*c_0110_5^5 + 2873/7529*c_0110_5^4 - 75649/7529*c_0110_5^3 - 13138/7529*c_0110_5^2 + 39526/7529*c_0110_5 - 8004/7529, c_0101_0 + 508/7529*c_0110_5^10 + 720/7529*c_0110_5^9 - 4468/7529*c_0110_5^8 - 2289/7529*c_0110_5^7 + 16870/7529*c_0110_5^6 - 5106/7529*c_0110_5^5 - 28943/7529*c_0110_5^4 + 26049/7529*c_0110_5^3 + 22569/7529*c_0110_5^2 - 26675/7529*c_0110_5 - 2466/7529, c_0101_1 + 3359/7529*c_0110_5^10 + 10452/7529*c_0110_5^9 - 8142/7529*c_0110_5^8 - 26829/7529*c_0110_5^7 + 35339/7529*c_0110_5^6 + 23002/7529*c_0110_5^5 - 84237/7529*c_0110_5^4 - 19763/7529*c_0110_5^3 + 50183/7529*c_0110_5^2 - 116/7529*c_0110_5 + 1094/7529, c_0110_5^11 + 4*c_0110_5^10 - 11*c_0110_5^8 + 5*c_0110_5^7 + 19*c_0110_5^6 - 24*c_0110_5^5 - 29*c_0110_5^4 + 22*c_0110_5^3 + 11*c_0110_5^2 - 10*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB