Package sage :: Package modular :: Package modsym :: Module ambient
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Module sage.modular.modsym.ambient

Ambient spaces of modular symbols.
Classes
ModularSymbolsAmbient An ambient space of modular symbols for a congruence subgroup of SL_2(Z).
ModularSymbolsAmbient_wt2_g0_Q  
ModularSymbolsAmbient_wtk_eps  
ModularSymbolsAmbient_wtk_g0_Q  
ModularSymbolsAmbient_wtk_g1_Q  

Function Summary
  test_k2_g0_dim()
  test_wtk_g0_dim()

Function Details

test_k2_g0_dim()

>>> from sage.all import *
>>> ModularSymbols(11,sign=0).dimension()
3

>>> ModularSymbols(100,sign=0).dimension()
31

>>> ModularSymbols(22,sign=1).dimension()
5

test_wtk_g0_dim()

>>> from sage.all import *
>>> ModularSymbols(1,12).dimension()
3

>>> ModularSymbols(3,4).dimension()
2

>>> ModularSymbols(8,6,sign=-1).dimension()
3

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