Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 3035965589] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s343 geometric_solution 4.54411888 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 1.573002912096 0.224502928905 0 2 2 0 3201 0132 1023 0132 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 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 1.228891217124 0.437868233580 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.488083533298 0.498670372798 2 4 4 5 0132 0321 1302 0132 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 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 0.691774946740 0.815158048604 3 5 2 3 2031 2310 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.691774946740 0.815158048604 5 5 3 4 1302 2031 0132 3201 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 -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 0.550614732387 0.343089309952 ==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_4']), '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_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_5']), '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_4'], '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_0110_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), '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' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0011_5']), '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_4, c_0011_5, c_0101_0, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 5501737195/553701859*c_0110_5^14 - 20943721572/553701859*c_0110_5^13 - 68594981873/553701859*c_0110_5^12 + 162729514964/553701859*c_0110_5^11 + 222289991872/553701859*c_0110_5^10 - 872374023142/553701859*c_0110_5^9 - 996818343830/553701859*c_0110_5^8 + 1437325664607/553701859*c_0110_5^7 + 1784384122903/553701859*c_0110_5^6 - 1016526357312/553701859*c_0110_5^5 - 1372806342140/553701859*c_0110_5^4 + 345514279274/553701859*c_0110_5^3 + 459324562777/553701859*c_0110_5^2 - 50088514577/553701859*c_0110_5 - 47619711905/553701859, c_0011_0 - 1, c_0011_1 - 604028737/553701859*c_0110_5^14 + 2374652023/553701859*c_0110_5^13 + 7107559531/553701859*c_0110_5^12 - 18286818342/553701859*c_0110_5^11 - 20393186253/553701859*c_0110_5^10 + 94429086399/553701859*c_0110_5^9 + 91800196892/553701859*c_0110_5^8 - 147414677525/553701859*c_0110_5^7 - 153610850930/553701859*c_0110_5^6 + 93388523670/553701859*c_0110_5^5 + 99466289704/553701859*c_0110_5^4 - 24360020198/553701859*c_0110_5^3 - 23038889304/553701859*c_0110_5^2 + 859733213/553701859*c_0110_5 + 1079742141/553701859, c_0011_4 - 618708232/553701859*c_0110_5^14 + 2524531294/553701859*c_0110_5^13 + 6817371888/553701859*c_0110_5^12 - 19292458907/553701859*c_0110_5^11 - 17605659719/553701859*c_0110_5^10 + 96246450969/553701859*c_0110_5^9 + 81158243953/553701859*c_0110_5^8 - 151872982850/553701859*c_0110_5^7 - 137572993200/553701859*c_0110_5^6 + 101855200604/553701859*c_0110_5^5 + 89427418268/553701859*c_0110_5^4 - 31756643102/553701859*c_0110_5^3 - 21555823216/553701859*c_0110_5^2 + 3247089140/553701859*c_0110_5 + 1228048185/553701859, c_0011_5 - 464020456/553701859*c_0110_5^14 + 1811656300/553701859*c_0110_5^13 + 5531108236/553701859*c_0110_5^12 - 13995871599/553701859*c_0110_5^11 - 16314864733/553701859*c_0110_5^10 + 73187252898/553701859*c_0110_5^9 + 73138255048/553701859*c_0110_5^8 - 116752788861/553701859*c_0110_5^7 - 121919918838/553701859*c_0110_5^6 + 81333942830/553701859*c_0110_5^5 + 81881500914/553701859*c_0110_5^4 - 27726143675/553701859*c_0110_5^3 - 21285623096/553701859*c_0110_5^2 + 3197897365/553701859*c_0110_5 + 1285630558/553701859, c_0101_0 - 290600620/553701859*c_0110_5^14 + 1315149108/553701859*c_0110_5^13 + 2676502870/553701859*c_0110_5^12 - 10509520427/553701859*c_0110_5^11 - 4119053588/553701859*c_0110_5^10 + 48653947033/553701859*c_0110_5^9 + 17056082201/553701859*c_0110_5^8 - 86023526231/553701859*c_0110_5^7 - 31608615796/553701859*c_0110_5^6 + 66900078003/553701859*c_0110_5^5 + 16143006689/553701859*c_0110_5^4 - 23153694090/553701859*c_0110_5^3 + 621851420/553701859*c_0110_5^2 + 2128081138/553701859*c_0110_5 - 497624335/553701859, c_0110_5^15 - 5*c_0110_5^14 - 7*c_0110_5^13 + 40*c_0110_5^12 - 2*c_0110_5^11 - 172*c_0110_5^10 + 11*c_0110_5^9 + 326*c_0110_5^8 - 4*c_0110_5^7 - 305*c_0110_5^6 + 10*c_0110_5^5 + 139*c_0110_5^4 - 11*c_0110_5^3 - 25*c_0110_5^2 + 2*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB