files / problems / hilbert16-limit-cycles / compute / q1 / a-quadratic-five / f_coeffs.txt
# Poincaré–Lyapunov F of unperturbed Shi, gauge y^n = 0 on even F_n.
# rows: F <deg> <i> <j> <num> <den> meaning [x^i y^j] F_deg = num/den
# rows: V <k> <num> <den> V_k in dF/dt = V_k r^{2k+2} + …
F 2 0 2 1 2
F 2 1 1 0 1
F 2 2 0 1 2
F 3 0 3 44 3
F 3 1 2 0 1
F 3 2 1 10 1
F 3 3 0 2 1
F 4 0 4 0 1
F 4 1 3 0 1
F 4 2 2 -540 1
F 4 3 1 50 1
F 4 4 0 -375 1
F 5 0 5 -38252 3
F 5 1 4 0 1
F 5 2 3 -97250 3
F 5 3 2 -1750 1
F 5 4 1 -15050 1
F 5 5 0 -2966 1
F 6 0 6 0 1
F 6 1 5 0 1
F 6 2 4 764500 1
F 6 3 3 -393170 3
F 6 4 2 4538350 3
F 6 5 1 -133250 1
F 6 6 0 5889250 9
F 7 0 7 2088923596 63
F 7 1 6 0 1
F 7 2 5 1051342298 9
F 7 3 4 7251830 3
F 7 4 3 1116954760 9
F 7 5 2 33646484 3
F 7 6 1 118184750 3
F 7 7 0 165243418 21
F 8 0 8 0 1
F 8 1 7 -35625 8
F 8 2 6 -8353400884 3
F 8 3 5 33779125831 72
F 8 4 4 -74502924433 9
F 8 5 3 74214405481 72
F 8 6 2 -210861830686 27
F 8 7 1 12274102315 24
F 8 8 0 -63011675575 27
V 1 0 1
V 2 0 1
V 3 35625 8