Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 408519704] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s501 geometric_solution 4.88670031 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 1 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 0.406931998529 0.197199280692 2 0 3 0 0132 2310 0132 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 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 0.602997603111 0.767189001630 1 4 5 5 0132 0132 0132 3201 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143342101850 1.949363644983 5 5 4 1 2310 1023 3201 0132 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 -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 0.143342101850 1.949363644983 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 0 -1 1 0 0 -1 1 -1 0 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314087923875 0.520459210484 3 2 3 2 1023 2310 3201 0132 0 0 0 0 0 -1 1 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 -1 1 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 -0.037518555539 0.510229076012 ==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' : negation(d['1']), 's_3_5' : negation(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' : negation(d['1']), 's_2_3' : 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' : 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_3']), 'c_1100_4' : d['c_0101_1'], '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' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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' : d['c_0011_1'], '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_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), '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_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 287973484384950577/11753717731933147008*c_0101_3^16 - 4654550919980958553/3917905910644382336*c_0101_3^14 - 110529587026675687777/5876858865966573504*c_0101_3^12 - 164278900094165234319/1958952955322191168*c_0101_3^10 - 9740335640944909809/122434559707636948*c_0101_3^8 - 797490407886244152293/11753717731933147008*c_0101_3^6 + 59661388455723947305/734607358245821688*c_0101_3^4 - 190335521196617851043/5876858865966573504*c_0101_3^2 + 210329299657675883857/11753717731933147008, c_0011_0 - 1, c_0011_1 + 13671454824291/230465053567316608*c_0101_3^16 - 705565129089067/230465053567316608*c_0101_3^14 - 4179839800785961/115232526783658304*c_0101_3^12 - 8675260101576891/115232526783658304*c_0101_3^10 + 12889003648995923/57616263391829152*c_0101_3^8 - 104506980940230275/230465053567316608*c_0101_3^6 + 34665428030896367/115232526783658304*c_0101_3^4 - 37143201130590689/57616263391829152*c_0101_3^2 + 138854547325860509/230465053567316608, c_0011_3 + 569585856981535/230465053567316608*c_0101_3^16 - 27362975638678239/230465053567316608*c_0101_3^14 - 224735743766267365/115232526783658304*c_0101_3^12 - 1077145091961128807/115232526783658304*c_0101_3^10 - 714529104146679245/57616263391829152*c_0101_3^8 - 3012855912967298927/230465053567316608*c_0101_3^6 + 256122083200816895/115232526783658304*c_0101_3^4 - 163691025014526483/57616263391829152*c_0101_3^2 + 129231023606565625/230465053567316608, c_0101_0 - 21410114108039/691395160701949824*c_0101_3^17 + 776422741274177/230465053567316608*c_0101_3^15 - 22753640657619871/345697580350974912*c_0101_3^13 - 158288754528393283/115232526783658304*c_0101_3^11 - 405642540726925791/57616263391829152*c_0101_3^9 - 6575332693844157809/691395160701949824*c_0101_3^7 - 3402883786046305057/345697580350974912*c_0101_3^5 + 54806428048316875/86424395087743728*c_0101_3^3 - 1218561811417328621/691395160701949824*c_0101_3, c_0101_1 - 78871885144143/230465053567316608*c_0101_3^16 + 3844467543778443/230465053567316608*c_0101_3^14 + 29782714684205697/115232526783658304*c_0101_3^12 + 127480387035526535/115232526783658304*c_0101_3^10 + 49355738189594647/57616263391829152*c_0101_3^8 + 227638721786418119/230465053567316608*c_0101_3^6 - 50921424546836593/115232526783658304*c_0101_3^4 + 40247536146603907/28808131695914576*c_0101_3^2 + 19303163577412171/230465053567316608, c_0101_3^18 - 48*c_0101_3^16 - 791*c_0101_3^14 - 3816*c_0101_3^12 - 5214*c_0101_3^10 - 5789*c_0101_3^8 - 95*c_0101_3^6 - 1954*c_0101_3^4 - 29*c_0101_3^2 - 153 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB