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[Licence| Download | New Version Template] acre_v1_0.gz(6 Kbytes)
Manuscript Title: Vector coupling coefficients as products of prime factors.
Authors: R.McD. Dodds, G. Wiechers
Program title: COEF
Catalogue identifier: ACRE_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 4(1972)268
Programming language: Fortran.
Computer: ICL 1901A.
Operating system: ICL AUTOMATIC OPERATOR.
RAM: 14K words
Word size: 24
Keywords: Atomic physics, Nuclear physics, Vector coupling Coefficient, Rotation group, Clebsch-Gordan Coefficient, Racah coefficient, Integer arithmetic, General purpose.
Classification: 4.1.

Nature of problem:
The program computes 3j-symbols, 6j-symbols and rotation matrices (special cases) and expresses the result as a product of powers of prime numbers.

Solution method:
A set of subroutines is given to generate prime numbers, to express a given integer as a product of prime numbers and to carry out addition, subtraction, multiplication and division of such products, always leaving the result in the form of a product of prime numbers.

Running time:
The time depends on the magnitude of the arguments of the coefficients, and is between 2 and 10 s. Running time is greatly reduced after the first few coefficients have been calculated.