def gramsmitdcheby(n):
    P=ansatz(n)
    for m in range(len(P)):
        for j in range(len(P[m])-1):
            for i in range(len(P[j])):
                tmp = fivepoint(lambda x:evalp(P[m],x)*evalp(P[j],x)/((1-x*x)**0.5),-1,1,10)
                P[m][i]-=tmp*P[j][i]
        P[m]=normalisecheby(P[m])
    return P
def normalisecheby(P):
  
    for j in range(len(P)):
        P/=fivepoint(lambda x:evalp(P,x)**2/((1-x*x)**0.5),-1,1,10)**0.5
    return P