41.5 A single element of an ambient space of modular symbols

Module: sage.modular.modsym.element

A single element of an ambient space of modular symbols.

Module-level Functions

is_ModularSymbolsElement( x)

set_modsym_print_mode( [mode=manin])

Set the mode for printing of elements of modular symbols spaces.

Input:

mode
- a string. The possibilities are as follows:
* 'manin'
- (the default) formal sums of Manin symbols [P(X,Y),(u,v)]
* 'modular'
- formal sums of Modular symbols P(X,Y)*alpha,beta, where alpha and beta are cusps
* 'vector'
- as vectors on the basis for the ambient space

Class: ModularSymbolsElement

class ModularSymbolsElement
An element of a space of modular symbol.
ModularSymbolsElement( self, parent, x, [check=True])

Input:

parent
- a space of modular symbols
x
- a free module element that represents the modular symbol in terms of a basis for the ambient space (not in terms of a basis for parent!)

Functions: coordinate_vector,$ \,$ list,$ \,$ manin_symbol_rep,$ \,$ modular_symbol_rep

manin_symbol_rep( self)

Returns a representation of self as a formal sum of Manin symbols.

(The result is cached for future use.)

modular_symbol_rep( self)

Returns a representation of self as a formal sum of modular symbols.

(The result is cached for future use.)

Special Functions: __cmp__,$ \,$ __init__,$ \,$ __mul__,$ \,$ __neg__,$ \,$ _add_,$ \,$ _latex_,$ \,$ _ModularSymbolsElement__is_compatible,$ \,$ _repr_,$ \,$ _sub_

See About this document... for information on suggesting changes.