Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 1696921945] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s036 geometric_solution 3.57250575 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 1.349872802037 0.111065372253 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.115185697697 0.097389663193 3 1 1 3 0132 0132 1023 1023 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 0 0 -1 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125346632019 0.230901509329 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.801584952733 0.418613014876 5 3 5 5 2031 0132 1302 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515787365793 0.496224320761 4 4 4 3 2031 2310 1302 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 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 0.515787365793 0.496224320761 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_1'], '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' : negation(d['c_0011_1']), 'c_0011_4' : negation(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' : d['c_0110_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), '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_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0101_3'], '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_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 40143710309917/1691090955428*c_0110_4^11 + 67726851291229/1691090955428*c_0110_4^10 + 44768420478647/422772738857*c_0110_4^9 + 146366820985293/422772738857*c_0110_4^8 - 138513406415058/60396105551*c_0110_4^7 + 1783900549687127/241584422204*c_0110_4^6 - 2521395059104350/422772738857*c_0110_4^5 - 1420625448643887/845545477714*c_0110_4^4 + 3509445992599933/1691090955428*c_0110_4^3 - 88317064445225/241584422204*c_0110_4^2 + 41081729282932/422772738857*c_0110_4 + 147410980162861/1691090955428, c_0011_0 - 1, c_0011_1 + 156212833163/241584422204*c_0110_4^11 + 277794169457/241584422204*c_0110_4^10 + 180960769467/60396105551*c_0110_4^9 + 586792450083/60396105551*c_0110_4^8 - 3717720548239/60396105551*c_0110_4^7 + 47258752185567/241584422204*c_0110_4^6 - 17551973577889/120792211102*c_0110_4^5 - 3442509606599/60396105551*c_0110_4^4 + 12000677458417/241584422204*c_0110_4^3 - 1520769716505/241584422204*c_0110_4^2 + 252673459039/120792211102*c_0110_4 + 521013686421/241584422204, c_0101_0 + 57421890461/241584422204*c_0110_4^11 + 98757355197/241584422204*c_0110_4^10 + 68751835210/60396105551*c_0110_4^9 + 220119636246/60396105551*c_0110_4^8 - 1357587770986/60396105551*c_0110_4^7 + 17961080532861/241584422204*c_0110_4^6 - 3799114177456/60396105551*c_0110_4^5 - 160162838515/120792211102*c_0110_4^4 + 3000841184513/241584422204*c_0110_4^3 - 2360246696175/241584422204*c_0110_4^2 + 162340553547/60396105551*c_0110_4 + 160186800557/241584422204, c_0101_2 - 59749326705/241584422204*c_0110_4^11 - 120689080945/241584422204*c_0110_4^10 - 74910473122/60396105551*c_0110_4^9 - 241043633860/60396105551*c_0110_4^8 + 1368239881799/60396105551*c_0110_4^7 - 16689418231013/241584422204*c_0110_4^6 + 2172127320044/60396105551*c_0110_4^5 + 4875782573767/120792211102*c_0110_4^4 - 5165672863509/241584422204*c_0110_4^3 - 425728465817/241584422204*c_0110_4^2 + 76800201765/60396105551*c_0110_4 - 245327514097/241584422204, c_0101_3 + 43231513607/241584422204*c_0110_4^11 + 88987479951/241584422204*c_0110_4^10 + 56397203410/60396105551*c_0110_4^9 + 178614990189/60396105551*c_0110_4^8 - 978127260170/60396105551*c_0110_4^7 + 11991539773671/241584422204*c_0110_4^6 - 1594003504962/60396105551*c_0110_4^5 - 2800405593901/120792211102*c_0110_4^4 + 2075211309243/241584422204*c_0110_4^3 - 268917064849/241584422204*c_0110_4^2 + 7216503178/60396105551*c_0110_4 + 244227509067/241584422204, c_0110_4^12 + 2*c_0110_4^11 + 5*c_0110_4^10 + 16*c_0110_4^9 - 92*c_0110_4^8 + 281*c_0110_4^7 - 155*c_0110_4^6 - 146*c_0110_4^5 + 63*c_0110_4^4 + 10*c_0110_4^3 + c_0110_4^2 + 5*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB