Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 1797977926] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s203 geometric_solution 4.32585419 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 -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 1.449001538508 0.289137521875 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 0 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 0 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.043368727905 0.307151353327 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -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 0 0 1 0 -1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737242384463 0.296420600197 2 4 5 4 0132 1302 0132 2031 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 -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 0.626611175284 0.412641240331 5 3 2 3 2310 1302 0132 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626611175284 0.412641240331 5 5 4 3 1302 2031 3201 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 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 0.648522993813 0.603054362047 ==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' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0011_1'], 'c_1010_2' : d['c_0101_2'], '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_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3452362831522/258640080029*c_0101_3^10 + 2869528011624/13612635791*c_0101_3^9 + 151006145378340/258640080029*c_0101_3^8 + 28373841975188/258640080029*c_0101_3^7 - 75327171968510/258640080029*c_0101_3^6 - 614831713451101/258640080029*c_0101_3^5 - 332224615346991/258640080029*c_0101_3^4 + 154650473068186/258640080029*c_0101_3^3 + 457166744989240/258640080029*c_0101_3^2 + 14128051356808/13612635791*c_0101_3 + 37598522561277/258640080029, c_0011_0 - 1, c_0011_1 + 100692121841/258640080029*c_0101_3^10 + 82682320023/13612635791*c_0101_3^9 + 4109484789498/258640080029*c_0101_3^8 + 116792317051/258640080029*c_0101_3^7 - 2059566990999/258640080029*c_0101_3^6 - 17623666680353/258640080029*c_0101_3^5 - 6392160133116/258640080029*c_0101_3^4 + 4977890164031/258640080029*c_0101_3^3 + 12615242268489/258640080029*c_0101_3^2 + 306588007956/13612635791*c_0101_3 + 396735937871/258640080029, c_0011_5 - 37877231535/258640080029*c_0101_3^10 - 30651941906/13612635791*c_0101_3^9 - 1414330517160/258640080029*c_0101_3^8 + 273786356274/258640080029*c_0101_3^7 + 704580788211/258640080029*c_0101_3^6 + 6486903691149/258640080029*c_0101_3^5 + 1018533293247/258640080029*c_0101_3^4 - 2143926736822/258640080029*c_0101_3^3 - 4185425538493/258640080029*c_0101_3^2 - 75012816720/13612635791*c_0101_3 + 78383372083/258640080029, c_0101_0 - 129610672245/258640080029*c_0101_3^10 - 105493638796/13612635791*c_0101_3^9 - 5010186363758/258640080029*c_0101_3^8 + 612796663010/258640080029*c_0101_3^7 + 2782595772711/258640080029*c_0101_3^6 + 22408257371658/258640080029*c_0101_3^5 + 5310553171426/258640080029*c_0101_3^4 - 7629757764847/258640080029*c_0101_3^3 - 15299373897015/258640080029*c_0101_3^2 - 287804025886/13612635791*c_0101_3 + 85471906237/258640080029, c_0101_2 - 152767881141/258640080029*c_0101_3^10 - 124929033254/13612635791*c_0101_3^9 - 6079776681259/258640080029*c_0101_3^8 + 255523409189/258640080029*c_0101_3^7 + 3162705278273/258640080029*c_0101_3^6 + 26345065604746/258640080029*c_0101_3^5 + 7948338926839/258640080029*c_0101_3^4 - 8456059907437/258640080029*c_0101_3^3 - 18019861413793/258640080029*c_0101_3^2 - 380166743233/13612635791*c_0101_3 - 165864653711/258640080029, c_0101_3^11 + 16*c_0101_3^10 + 47*c_0101_3^9 + 17*c_0101_3^8 - 21*c_0101_3^7 - 183*c_0101_3^6 - 133*c_0101_3^5 + 28*c_0101_3^4 + 144*c_0101_3^3 + 105*c_0101_3^2 + 25*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB