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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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#include"typedef.h"

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#include"orbit.h"

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#include"getput.h"

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#include"sort.h"

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main (int argc, char *argv[])

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{

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	matrix_TYP **Mat, *erg;

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        bravais_TYP *G;

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        int i, Manz, length;

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        int *option;

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        extern char **FILENAMES;

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        extern int FILEANZ;

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        read_header(argc, argv);

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        if(FILEANZ != 2)

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        {

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           printf("Usage:  %s 'file1' 'file2' [-i] [-r] [-l] [-k] [-t] [-L=n] [-S=n] [-p] [-u]\n",argv[0]);

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           printf("\n");

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           printf("file1:  matrix_TYP, contains matrices X_i forming a G-set (union of G-orbits)\n");

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           printf("file2:  bravais_TYP, contains generators of a group G\n");

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           printf("\n");

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           printf("Calulates the orbit representatives of the G-orbits on {X_1,...},\n");

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           printf("where the action is specified by the options. Default option is action by\n");

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           printf("left multiplication.\n");

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           printf("\n");

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           printf("Options:\n");

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           printf("-i     : Use the generators given in file2 and their\n");

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           printf("         inverses to calculate the orbit.\n");

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           printf("-r     : Operate from the right.\n");

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           printf("-l     : Operate from the left (default).\n");

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           printf("-k     : Operate via conjugation, ie.  x -> g x g^-1 \n");

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           printf("-L=n   : Calculate at most n elements of the Orbit.\n");

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           printf("         0 means infinity.\n");

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           printf("-S=n   : If given as -S or -S=0 a generating set for\n");

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           printf("         the stabilizer is calculated. If given as\n");

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           printf("         -S=n at most n matrices of the stabilizer\n");

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           printf("         are calculated.\n");

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           printf("-p     : Operate on pairs of the form {M,-M}.\n");

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           printf("-u     : Operate on the set of rows of the matrix given\n");

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           printf("         in file1.\n");

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           printf("-g     : Operate on sublattices of Z^n spanned by the columns of the \n");

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           printf("         matrices gX with g in G.\n");

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           printf("-f     : Operates on quadratic forms via x -> g^-tr x g^-1\n");

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           printf("\n");

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           printf("Cf. Orbit.\n");

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           if (is_option('h')){

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              exit(0);

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           }

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           else{

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              exit(31);

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           }

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        }

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	Mat = mget_mat (FILENAMES[0], &Manz);

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        G = get_bravais(FILENAMES[1]);

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        option = make_orbit_options();

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        mat_quicksort(Mat, 0, Manz-1, mat_comp);

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        erg = orbit_representatives(Mat, Manz, G, option, &length, 1);

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        printf("#%d\n", length);

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        for(i=0;i<length;i++)

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           put_mat(Mat[erg->array.SZ[0][i]], NULL, "", 2);

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        printf(" length of i-th orbit is\n");

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        for(i=0;i<length;i++)

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          printf("%d,  ", erg->array.SZ[1][i]);

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        printf("\n");

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   exit(0);

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}

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