id: 1
names: ["P1"]
notes: 
period: [1,0,2,0,6,0,20,0,70,0,252,0,924,0,3432,0,12870,0,48620,0,184756]
pf_coefficients: [4,4,-1]
pf_exponents: [[1,2],[0,2],[1,0]]
pf_proven: false