Home | Trees | Index | Help |
|
---|
Package sage :: Package modular :: Package modsym :: Module p1list :: Class P1List |
|
object
--+
|
P1List
Method Summary | |
---|---|
x.__init__(...) initializes x; see x.__class__.__doc__ for signature | |
x.__getitem__(y) <==> x[y] | |
Use of negative indices is not supported. | |
x.__len__() <==> len(x) | |
T.__new__(S, ...) -> a new object with type S, a subtype of T | |
x.__repr__() <==> repr(x) | |
apply_I(...)
| |
apply_S(...)
| |
apply_T(...)
| |
Returns the index of the class of (u,v) in the fixed list of representatives of P^1(Z/NZ). | |
Returns the index of the class of (u,v) in the fixed list of representatives of P^1(Z/NZ). | |
Returns the index of the class of (u,v) in the fixed list of representatives of P^1(Z/NZ). | |
list(...)
| |
N(...)
| |
normalize(...)
| |
normalize_with_scalar(self, int u, int v) INPUT: u, v -- integers, with GCD(u,v,N)=1. | |
Inherited from object | |
x.__delattr__('name') <==> del x.name | |
x.__getattribute__('name') <==> x.name | |
x.__hash__() <==> hash(x) | |
helper for pickle | |
helper for pickle | |
x.__setattr__('name', value) <==> x.name = value | |
x.__str__() <==> str(x) |
Method Details |
---|
__init__(...)
x.__init__(...) initializes x; see x.__class__.__doc__ for
signature
|
__getitem__(x,
y)
x.__getitem__(y) <==> x[y]
|
__getslice__(x,
i,
j)
Use of negative indices is not supported.
|
__len__(x)
x.__len__() <==> len(x)
|
__new__(T, S, ...)T.__new__(S, ...) -> a new object with type S, a subtype of T
|
__repr__(x)
x.__repr__() <==> repr(x)
|
index(...)Returns the index of the class of (u,v) in the fixed list of representatives of P^1(Z/NZ). INPUT: u, v -- integers, with GCD(u,v,N)=1. OUTPUT: i -- the index of u, v, in the P^1 list. |
index_and_scalar(...)Returns the index of the class of (u,v) in the fixed list of representatives of P^1(Z/NZ). INPUT: u, v -- integers, with GCD(u,v,N)=1. OUTPUT: i -- the index of u, v, in the P^1 list. s -- scalar that transforms normalized form to u,v |
index_of_normalized_pair(...)Returns the index of the class of (u,v) in the fixed list of representatives of P^1(Z/NZ). INPUT: u, v -- integers, with GCD(u,v,N)=1 normalized so they lie in the list. OUTPUT: i -- the index of u, v, in the P^1 list. |
normalize_with_scalar(...)normalize_with_scalar(self, int u, int v) INPUT: u, v -- integers, with GCD(u,v,N)=1. OUTPUT: uu, vv -- integers of *normalized* rep ss -- scalar such that (ss*uu, ss*vv) = (u,v) mod N |
Home | Trees | Index | Help |
|
---|
Generated by Epydoc 2.1 on Wed May 4 18:06:56 2005 | http://epydoc.sf.net |