CongruenceSubgroupGamma1 nn

qetagamma.spad line 472 [edit on github]

• nn: PositiveInteger

CongruenceSubgroupGamma1(nn) implements functions connected to the congruence subgroup $Gamma_1(N)$. https://www.wstein.org/books/modform/modform/dimension_formulas.html

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

even?: () -> 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