Magma V2.19-8 Tue Aug 20 2013 23:38:19 on localhost [Seed = 492534067] Type ? for help. Type -D to quit. Loading file "K13n282__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n282 geometric_solution 8.38356351 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 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 1 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 1.460022265263 0.989397920221 0 3 5 5 0132 3120 0213 0132 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 -1 -1 2 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 0.582799913678 0.918433724512 3 0 6 3 2031 0132 0132 1230 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 -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 0.681213460524 0.886205665052 2 1 2 0 3012 3120 1302 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 1 -1 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 0.359404519592 0.999120984942 7 7 0 6 0132 2310 0132 1230 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 -0.387933499564 1.034290154583 6 1 1 8 2031 0213 0132 0132 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 -2 1 1 0 -1 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 0.409993862672 0.902569780462 4 8 5 2 3012 2310 1302 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 -1 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 0.908682886533 0.453185753739 4 9 9 4 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 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 -0.193557968362 0.541819846986 9 9 5 6 2031 1302 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 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 1.175910929988 1.150352740779 7 7 8 8 2310 0132 1302 2031 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 2.365344576906 1.372418663866 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : d['c_0110_8'], 'c_1001_8' : negation(d['c_0011_6']), 's_2_8' : d['1'], 's_2_9' : 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_2_6' : d['1'], 's_2_7' : 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_1100_9' : d['c_0101_8'], 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : negation(d['c_0110_8']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : negation(d['c_0101_8']), '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_4'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_2, c_0101_8, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 953/3885*c_0110_8^5 - 1511/777*c_0110_8^4 + 187/111*c_0110_8^3 - 18652/3885*c_0110_8^2 + 10636/3885*c_0110_8 - 3688/3885, c_0011_0 - 1, c_0011_3 - c_0110_8^5 - 4*c_0110_8^3 - 3*c_0110_8, c_0011_4 + c_0110_8^5 - c_0110_8^4 + 4*c_0110_8^3 - 4*c_0110_8^2 + 3*c_0110_8 - 3, c_0011_5 - c_0110_8^4 - 4*c_0110_8^2 - 3, c_0011_6 - c_0110_8^5 + c_0110_8^4 - 5*c_0110_8^3 + 4*c_0110_8^2 - 6*c_0110_8 + 3, c_0011_8 - c_0110_8^5 + c_0110_8^4 - 5*c_0110_8^3 + 4*c_0110_8^2 - 5*c_0110_8 + 3, c_0101_0 - c_0110_8^5 - c_0110_8^4 - 4*c_0110_8^3 - 4*c_0110_8^2 - 3*c_0110_8 - 3, c_0101_2 + 2*c_0110_8^5 + 8*c_0110_8^3 + c_0110_8^2 + 6*c_0110_8 + 2, c_0101_8 - c_0110_8^5 + c_0110_8^4 - 5*c_0110_8^3 + 4*c_0110_8^2 - 6*c_0110_8 + 3, c_0110_8^6 - c_0110_8^5 + 5*c_0110_8^4 - 4*c_0110_8^3 + 6*c_0110_8^2 - 3*c_0110_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB