Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 3515895276] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s026 geometric_solution 3.56074850 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.291913879860 0.131750146196 0 2 2 0 0132 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.205533417155 0.629734198989 1 1 3 3 2310 0132 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 1 -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 0.145385078268 0.185232610582 4 2 5 2 0132 2310 0132 0132 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932022059079 1.924440558350 3 5 5 5 0132 3201 2310 1230 0 0 0 0 0 -1 1 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 -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 0.001596591110 0.963759008239 4 4 4 3 3012 3201 2310 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 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 0.001596591110 0.963759008239 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : 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' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 119152/19381*c_0101_2^9 + 2910/19381*c_0101_2^8 - 1983109/19381*c_0101_2^7 - 1540094/19381*c_0101_2^6 - 9440340/19381*c_0101_2^5 + 2237433/19381*c_0101_2^4 + 24910378/19381*c_0101_2^3 - 4858603/19381*c_0101_2^2 - 7371014/19381*c_0101_2 + 2405393/19381, c_0011_0 - 1, c_0011_3 + 19010/19381*c_0101_2^9 - 76156/19381*c_0101_2^8 + 5495/19381*c_0101_2^7 - 325114/19381*c_0101_2^6 - 201686/19381*c_0101_2^5 + 919394/19381*c_0101_2^4 + 47919/19381*c_0101_2^3 - 285044/19381*c_0101_2^2 + 31116/19381*c_0101_2 + 23708/19381, c_0011_5 + 528/19381*c_0101_2^9 + 2389/19381*c_0101_2^8 - 16231/19381*c_0101_2^7 - 14411/19381*c_0101_2^6 - 80681/19381*c_0101_2^5 - 57475/19381*c_0101_2^4 + 207577/19381*c_0101_2^3 + 61147/19381*c_0101_2^2 - 47836/19381*c_0101_2 + 2357/19381, c_0101_0 - 4327/19381*c_0101_2^9 - 1702/19381*c_0101_2^8 + 76156/19381*c_0101_2^7 + 63737/19381*c_0101_2^6 + 372711/19381*c_0101_2^5 - 27645/19381*c_0101_2^4 - 941029/19381*c_0101_2^3 + 68910/19381*c_0101_2^2 + 252682/19381*c_0101_2 - 48424/19381, c_0101_1 + 44294/19381*c_0101_2^9 - 174506/19381*c_0101_2^8 + 2170/19381*c_0101_2^7 - 761049/19381*c_0101_2^6 - 522447/19381*c_0101_2^5 + 2096623/19381*c_0101_2^4 + 243348/19381*c_0101_2^3 - 555242/19381*c_0101_2^2 + 45001/19381*c_0101_2 + 13683/19381, c_0101_2^10 - 4*c_0101_2^9 - 16*c_0101_2^7 - 11*c_0101_2^6 + 53*c_0101_2^5 + 5*c_0101_2^4 - 27*c_0101_2^3 + 3*c_0101_2^2 + 4*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB