Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 762097940] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s057 geometric_solution 3.59688224 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 0213 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 -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 0.792300538641 0.411264246292 0 3 4 4 0132 2031 3201 0132 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 -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 0.533794766034 0.366822549236 3 0 3 0 1230 0132 3120 0213 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 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 0.792300538641 0.411264246292 1 2 2 0 1302 3012 3120 0132 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 1 0 -1 0 0 -1 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 0.005744772391 0.516094091651 1 5 1 5 2310 0132 0132 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.737029185846 1.285064083933 5 4 5 4 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333668121081 0.036931508995 ==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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : 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' : d['c_0110_5'], 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_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_3, c_0011_4, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 26280243487405/3364622726392*c_0110_5^13 + 289886775838611/1682311363196*c_0110_5^11 + 5448878128536555/841155681598*c_0110_5^9 + 25738142832449717/1682311363196*c_0110_5^7 + 73022682583760425/3364622726392*c_0110_5^5 + 2625926306489268/420577840799*c_0110_5^3 + 945242456308801/1682311363196*c_0110_5, c_0011_0 - 1, c_0011_3 + 11267241521/420577840799*c_0110_5^12 + 245696751850/420577840799*c_0110_5^10 + 9281313900740/420577840799*c_0110_5^8 + 19692555840388/420577840799*c_0110_5^6 + 25852749739699/420577840799*c_0110_5^4 + 1921785552307/420577840799*c_0110_5^2 - 45800980897/420577840799, c_0011_4 - 12037900390/420577840799*c_0110_5^12 - 262156491080/420577840799*c_0110_5^10 - 9909135205600/420577840799*c_0110_5^8 - 20765527177385/420577840799*c_0110_5^6 - 27436610491521/420577840799*c_0110_5^4 - 1396055480222/420577840799*c_0110_5^2 + 225287990817/420577840799, c_0101_0 - 16333577848/420577840799*c_0110_5^13 - 360138007943/420577840799*c_0110_5^11 - 13541160743886/420577840799*c_0110_5^9 - 31812590946637/420577840799*c_0110_5^7 - 44440525868834/420577840799*c_0110_5^5 - 11314463080391/420577840799*c_0110_5^3 - 77173337278/420577840799*c_0110_5, c_0101_2 - 23611779073/841155681598*c_0110_5^13 - 253605325170/420577840799*c_0110_5^11 - 9641820900171/420577840799*c_0110_5^9 - 17482227620328/420577840799*c_0110_5^7 - 41501800392169/841155681598*c_0110_5^5 + 6931185661034/420577840799*c_0110_5^3 + 1067363872031/420577840799*c_0110_5, c_0110_5^14 + 22*c_0110_5^12 + 828*c_0110_5^10 + 1908*c_0110_5^8 + 2659*c_0110_5^6 + 630*c_0110_5^4 + 24*c_0110_5^2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB