27.5 A single element of an ambient space of modular symbols

Module: sage.modular.modsym.element

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: __add__,$  $ __cmp__,$  $ __mul__,$  $ __neg__,$  $ __sub__,$  $ _ModularSymbolsElement__is_compatible,$  $ _repr_

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