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CongruenceSubgroupGamma0 nnΒΆ

qetagamma.spad line 207 [edit on github]

  • nn: PositiveInteger

CongruenceSubgroupGamma0(nn) implements functions connected to the congruence subgroup $Gamma_0(N)$. https://www.wstein.org/books/modform/modform/dimension_formulas.html

cuspOf: Matrix Integer -> Cusp

from CongruenceSubgroup

cusps: () -> List Cusp

from CongruenceSubgroup

cuspToMatrix: Cusp -> Matrix Integer

from CongruenceSubgroup

dimensionOfCuspForms: Integer -> NonNegativeInteger

from CongruenceSubgroup

dimensionOfEisensteinSubspace: Integer -> NonNegativeInteger

from CongruenceSubgroup

dimensionOfModularForms: Integer -> NonNegativeInteger

from CongruenceSubgroup

doubleCosetRepresentatives: () -> List Matrix Integer

from CongruenceSubgroup

equivalentCusps?: (Cusp, Cusp) -> Boolean

from CongruenceSubgroup

genus: () -> NonNegativeInteger

from CongruenceSubgroup

index: () -> PositiveInteger

from CongruenceSubgroup

member?: Matrix Integer -> Boolean

from CongruenceSubgroup

normalizeCusp: Cusp -> Cusp

from CongruenceSubgroup

nu2: () -> Integer

from CongruenceSubgroup

nu3: () -> Integer

from CongruenceSubgroup

numberOfCusps: () -> PositiveInteger

from CongruenceSubgroup

projectiveIndex: () -> PositiveInteger

from CongruenceSubgroup

rightCosetRepresentatives: () -> List Matrix Integer

from CongruenceSubgroup

width: Cusp -> PositiveInteger

from CongruenceSubgroup

width: Matrix Integer -> PositiveInteger

from CongruenceSubgroup

CongruenceSubgroup

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