Fix sage B coefficients
Former-commit-id: 3c1f08ffdd12b5a0ceb0a0ccd5072512df0a2dc1
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@ -19,6 +19,7 @@ def gaunta_p(M, n, mu, nu, p): # [Xu](5)
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wigner_3j(n, nu, p, 0, 0, 0) * wigner_3j(n, nu, p, M, mu, -M-mu))
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def bCXcoeff(M, n, mu, nu, p): # [Xu](61)
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#print(M,n,mu,nu,p,file=sys.stderr)
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return (-1)**(M+mu) * (2*p + 3) * sqrt(
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factorial(n+M) * factorial(nu+mu) * factorial(p+1-M-mu)
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/ factorial(n-M) / factorial(nu-mu) / factorial(p+1+M+mu)) * (
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@ -32,10 +33,10 @@ def ACXcoeff(m, n, mu, nu, q): # [Xu](58)
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def BCXcoeff(m, n, mu, nu, q): # [Xu](59)
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p = p_q(q,n,nu)
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return ((-1)**(m+1) * (2*nu + 1) * factorial(nu+m) * factorial(nu-mu) / (
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return ((-1)**(m+1) * (2*nu + 1) * factorial(n+m) * factorial(nu-mu) / (
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2 * n * (n+1) * factorial(n-m) * factorial(nu+mu)) * I**(p+1) *
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sqrt(((p+1)**2-(n-nu)**2) * ((n+nu+1)**2-(p+1)**2))
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* gaunta_p(-m,n,mu,nu,p))
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* bCXcoeff(-m,n,mu,nu,p))
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def printACXcoeffs(lMax, file=sys.stdout):
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for n in IntegerRange(lMax+1):
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@ -45,7 +46,7 @@ def printACXcoeffs(lMax, file=sys.stdout):
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for q in IntegerRange(qmax(-m,n,mu,nu)):
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#print(m, n, mu, nu, q, p_q(q,n,nu), file=sys.stderr)
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coeff= ACXcoeff(m, n, mu, nu, q);
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print(N(ACXcoeff(m, n, mu, nu, q), prec=53),
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print(N(coeff, prec=53),
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", // %d, %d, %d, %d, %d," % (m,n,mu,nu,q),
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coeff,
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file=file)
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@ -59,7 +60,7 @@ def printBCXcoeffs(lMax, file=sys.stdout):
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for q in IntegerRange(1, Qmax(-m,n,mu,nu)):
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#print(m, n, mu, nu, q, p_q(q,n,nu), file=sys.stderr)
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coeff= BCXcoeff(m, n, mu, nu, q);
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print(N(BCXcoeff(m, n, mu, nu, q), prec=53),
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print(N(coeff, prec=53),
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", // %d, %d, %d, %d, %d," % (m,n,mu,nu,q),
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coeff,
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file=file)
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