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_

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