Magma V2.19-8 Tue Aug 20 2013 23:41:23 on localhost [Seed = 3499537510] Type ? for help. Type -D to quit. Loading file "K12n565__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n565 geometric_solution 10.79979298 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 3201 0132 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 -1 0 1 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792679753009 0.950832846248 0 4 5 5 0132 0132 0213 0132 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 -1 1 0 11 0 -11 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 0.727065435406 0.967300535221 0 0 7 6 2310 0132 0132 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 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 0.387534698925 0.373432879582 8 7 0 9 0132 0132 0132 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 0 -1 1 0 0 -11 11 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593608622813 0.424282110773 9 1 7 7 3201 0132 3201 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 -1 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166810462622 0.891284839231 10 1 1 11 0132 0213 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 -12 0 0 12 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270188476457 0.957568193228 10 9 2 11 3201 2031 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 12 0 -12 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398738515501 0.340586864447 4 3 4 2 2310 0132 1230 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 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 0.797120479014 1.084005393923 3 11 10 10 0132 1023 3120 0321 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 0.934865897990 0.552093501277 6 11 3 4 1302 2103 0132 2310 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 0 -1 1 12 0 -11 -1 0 0 0 0 -12 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019858024235 1.119669674838 5 8 8 6 0132 0321 3120 2310 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 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.005547270778 1.078274629853 8 9 5 6 1023 2103 0132 0213 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 -12 12 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.898919024920 0.444928760832 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0110_4'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_0'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : d['c_0110_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0110_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_7, c_0110_11, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 372/13*c_0110_4^7 - 5589/26*c_0110_4^6 - 8629/13*c_0110_4^5 - 27981/26*c_0110_4^4 - 13493/13*c_0110_4^3 - 9228/13*c_0110_4^2 - 4361/13*c_0110_4 - 645/26, c_0011_0 - 1, c_0011_10 + c_0110_4, c_0011_11 + c_0110_4^7 + 7*c_0110_4^6 + 21*c_0110_4^5 + 35*c_0110_4^4 + 37*c_0110_4^3 + 27*c_0110_4^2 + 13*c_0110_4 + 3, c_0011_6 + c_0110_4^6 + 6*c_0110_4^5 + 14*c_0110_4^4 + 16*c_0110_4^3 + 11*c_0110_4^2 + 6*c_0110_4 + 1, c_0011_9 + c_0110_4^7 + 7*c_0110_4^6 + 20*c_0110_4^5 + 30*c_0110_4^4 + 27*c_0110_4^3 + 17*c_0110_4^2 + 7*c_0110_4 + 1, c_0101_0 + c_0110_4^2 + c_0110_4 + 1, c_0101_10 - c_0110_4^4 - 4*c_0110_4^3 - 6*c_0110_4^2 - 4*c_0110_4 - 1, c_0101_2 + c_0110_4 + 1, c_0101_7 + c_0110_4^7 + 7*c_0110_4^6 + 21*c_0110_4^5 + 35*c_0110_4^4 + 37*c_0110_4^3 + 27*c_0110_4^2 + 13*c_0110_4 + 3, c_0110_11 - c_0110_4^5 - 4*c_0110_4^4 - 6*c_0110_4^3 - 5*c_0110_4^2 - 4*c_0110_4 - 1, c_0110_4^8 + 8*c_0110_4^7 + 27*c_0110_4^6 + 50*c_0110_4^5 + 58*c_0110_4^4 + 48*c_0110_4^3 + 29*c_0110_4^2 + 10*c_0110_4 + 2, c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.940 Total time: 1.139 seconds, Total memory usage: 32.09MB