Module: sage.modular.modsym.heilbronn
Module-level Functions
int p) |
The Heilbronn matrices of determinant p, as defined by Cremona.
int n) |
Set of Heilbronn matrices of determinant n, as defined by Merel.
Class: Heilbronn
Functions: apply,
to_list
self, int u, int v, int N) |
Return a list of pairs ((c,d),m), which is obtained as follows: 1) Compute the images (a,b) of the vector (u,v) (mod N) acted on by each of the HeilbronnCremona matrices in self. 2) Reduce each (a,b) to canonical form (c,d) using p1normalize 3) Sort. 4) Create the list ((c,d),m), where m is the number of times that (c,d) appears in the list created in steps 1-3 above. Note that the pairs ((c,d),m) are sorted lexicographically by (c,d).
Special Functions: __getitem__,
__len__,
_initialize_list
Class: HeilbronnCremona
Functions: p
Special Functions: __getitem__,
__repr__,
_initialize_list
Class: HeilbronnMerel
Functions: n
Special Functions: __repr__,
_initialize_list
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