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Overview

This is a table of Clebsch-Gordan coefficients for SO(3) and a PARI/GP script to calculate them.

An equivalent and more comprehensive Java program is in arXiv:0908.3030

A Python program is in arXiv:1102.5125

Invocation

To obtain PARI/GP use the Linux package manager, for example

zypper install pari-gp # openSUSE
sudo apt install pari-gp # Ubuntu

The ASCII table of the Clebsch-Gordan coefficients is then generated with

gp -q < CGord.gp

To increase or decrease the extend of the j1 maximum quantum number in the output, edit the last line of CGord.gp and change the 9/2 to some other positive half-integer value. Because PARI/GP does not have an interface to generic command line arguments, this editing is apparently the only way to change that value.

The ASCII table of the 6j-Symbols is generated with

gp -q < 6j.gp

To increase or decrease the extend of the j1 maximum quantum number in the output, edit the last line of 6j.gp and change the 11/2 to some other positive half-integer value.

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PARI/GP scripts for Wigner 3j and 6j symbols

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