Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 3886447587] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s473 geometric_solution 4.84420034 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 1 -1 1 0 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 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 1.758693080626 0.376630420485 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 -1 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 0 -1 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 0.874862769736 0.882987431523 4 1 5 3 0132 0132 0132 3201 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 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 -0.092642999269 0.740300732767 5 2 4 1 1023 2310 2310 0132 0 0 0 0 0 -1 0 1 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 -0.092642999269 0.740300732767 2 3 4 4 0132 3201 2031 1302 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 -1 1 0 0 -1 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292327949578 0.576627687682 5 3 5 2 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166436140244 1.329974175631 ==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_3']), 'c_1100_4' : d['c_0101_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], '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_3'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], '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_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), '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_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 616*c_0101_4^11 - 498*c_0101_4^10 + 3186*c_0101_4^9 + 856*c_0101_4^8 - 5643*c_0101_4^7 + 453*c_0101_4^6 + 4497*c_0101_4^5 - 1290*c_0101_4^4 - 1596*c_0101_4^3 + 686*c_0101_4^2 + 204*c_0101_4 - 114, c_0011_0 - 1, c_0011_3 + 35*c_0101_4^11 + 10*c_0101_4^10 - 139*c_0101_4^9 + 80*c_0101_4^8 + 65*c_0101_4^7 - 200*c_0101_4^6 + 183*c_0101_4^5 + 67*c_0101_4^4 - 188*c_0101_4^3 + 46*c_0101_4^2 + 44*c_0101_4 - 21, c_0101_0 - 70*c_0101_4^11 - 69*c_0101_4^10 + 362*c_0101_4^9 + 162*c_0101_4^8 - 684*c_0101_4^7 - 44*c_0101_4^6 + 626*c_0101_4^5 - 109*c_0101_4^4 - 274*c_0101_4^3 + 93*c_0101_4^2 + 47*c_0101_4 - 21, c_0101_1 - 147*c_0101_4^11 - 63*c_0101_4^10 + 799*c_0101_4^9 - 69*c_0101_4^8 - 1379*c_0101_4^7 + 524*c_0101_4^6 + 971*c_0101_4^5 - 550*c_0101_4^4 - 268*c_0101_4^3 + 203*c_0101_4^2 + 19*c_0101_4 - 24, c_0101_2 + 56*c_0101_4^10 + 30*c_0101_4^9 - 280*c_0101_4^8 + 10*c_0101_4^7 + 423*c_0101_4^6 - 163*c_0101_4^5 - 233*c_0101_4^4 + 146*c_0101_4^3 + 29*c_0101_4^2 - 36*c_0101_4 + 5, c_0101_4^12 + 2/7*c_0101_4^11 - 39/7*c_0101_4^10 + 10/7*c_0101_4^9 + 69/7*c_0101_4^8 - 6*c_0101_4^7 - 48/7*c_0101_4^6 + 46/7*c_0101_4^5 + 9/7*c_0101_4^4 - 20/7*c_0101_4^3 + 3/7*c_0101_4^2 + 3/7*c_0101_4 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB