Magma V2.19-8 Tue Aug 20 2013 16:09:02 on localhost [Seed = 1916005577] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m318 geometric_solution 4.51503338 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 1230 0132 0 0 0 0 0 0 1 -1 -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 0 0 0 0 1 0 -1 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 0.619485812688 0.739474193137 0 3 2 0 0132 2031 1302 3012 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 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 0.334304790903 0.794633900471 1 0 2 2 2031 0132 2031 1302 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996479604734 1.032745823284 1 4 0 4 1302 0132 0132 2310 0 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 0 0 0 0 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 0 0 0 0 0 0 0 0.819426817010 0.975975575486 3 3 4 4 3201 0132 1230 3012 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 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 0.377604243710 0.258553140965 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 12944356/4150135*c_0110_4^12 - 44270054/4150135*c_0110_4^11 + 112118191/4150135*c_0110_4^10 + 412281414/4150135*c_0110_4^9 + 158608679/4150135*c_0110_4^8 - 78950049/830027*c_0110_4^7 - 460113804/4150135*c_0110_4^6 - 209753871/4150135*c_0110_4^5 + 74122897/4150135*c_0110_4^4 + 56098122/4150135*c_0110_4^3 - 80963562/4150135*c_0110_4^2 - 14648928/830027*c_0110_4 - 38001866/4150135, c_0011_0 - 1, c_0011_3 + 7623/75457*c_0110_4^12 + 8807/75457*c_0110_4^11 - 120697/75457*c_0110_4^10 - 83101/75457*c_0110_4^9 + 419864/75457*c_0110_4^8 + 379124/75457*c_0110_4^7 - 363220/75457*c_0110_4^6 - 536305/75457*c_0110_4^5 - 108259/75457*c_0110_4^4 + 174838/75457*c_0110_4^3 + 117294/75457*c_0110_4^2 - 107205/75457*c_0110_4 - 45102/75457, c_0101_2 + 572103/4150135*c_0110_4^12 + 1808407/4150135*c_0110_4^11 - 4489058/4150135*c_0110_4^10 - 15156212/4150135*c_0110_4^9 - 14189507/4150135*c_0110_4^8 + 1213463/830027*c_0110_4^7 + 33284442/4150135*c_0110_4^6 + 15170268/4150135*c_0110_4^5 - 5871061/4150135*c_0110_4^4 - 2102086/4150135*c_0110_4^3 - 188989/4150135*c_0110_4^2 + 1667317/830027*c_0110_4 - 1473517/4150135, c_0101_4 + 2007486/4150135*c_0110_4^12 + 4844469/4150135*c_0110_4^11 - 22480066/4150135*c_0110_4^10 - 42325139/4150135*c_0110_4^9 + 19541606/4150135*c_0110_4^8 + 10470940/830027*c_0110_4^7 + 23279484/4150135*c_0110_4^6 - 7002594/4150135*c_0110_4^5 - 17343267/4150135*c_0110_4^4 + 13856233/4150135*c_0110_4^3 + 11890927/4150135*c_0110_4^2 + 261696/830027*c_0110_4 + 495471/4150135, c_0110_4^13 + 3*c_0110_4^12 - 10*c_0110_4^11 - 28*c_0110_4^10 + 34*c_0110_4^8 + 24*c_0110_4^7 + 2*c_0110_4^6 - 13*c_0110_4^5 + 9*c_0110_4^3 + 3*c_0110_4^2 + c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB