def create_key(self, k, p=None, prec_cap=None, base=None, base_coeffs=None, \
character=None, adjuster=None, act_on_left=False, \
dettwist=None, variable_name = 'w'):
if base is None:
if base_coeffs is None:
if p is None:
raise ValueError("Must specify a prime, a base ring, or coefficients.")
if prec_cap is None:
raise ValueError("Must specify a precision cap or a base ring.")
prec_cap = _prec_cap_parser(prec_cap)
base_coeffs = Zp(p, prec = prec_cap[0])
elif not isinstance(base_coeffs, ring.Ring):
raise TypeError("base_coeffs must be a ring if base is None")
elif prec_cap is None:
raise ValueError("Must specify a precision cap or a base ring.")
else:
prec_cap = _prec_cap_parser(prec_cap)
if base_coeffs.precision_cap() < prec_cap[0]:
raise ValueError("Precision cap on coefficients of base ring must be at least the p-adic precision cap of this space.")
base = PowerSeriesRing(base_coeffs, name=variable_name, default_prec=prec_cap[1])
elif prec_cap is None:
prec_cap = [ZZ(base.base_ring().precision_cap()), ZZ(base.default_prec())]
else:
if base.base_ring().precision_cap() < prec_cap[0]:
raise ValueError("Precision cap on coefficients of base ring must be at least the p-adic precision cap of this space.")
if base.default_prec() < prec_cap[1]:
raise ValueError("Default precision on the variable of base ring must be at least the w-adic precision cap of this space.")
base_coeffs = None
p = base.base_ring().prime()
k_shift = 0
#if character is not None:
# #Should we ensure character is primitive?
# cond_val = character.conductor().valuation(p)
# if cond_val > 1:
# raise ValueError("Level must not be divisible by p^2.")
# elif cond_val == 1:
# pass
# else:
# pass
k = ZZ((k + k_shift) % (p-1))
#if prec_cap is None:
# prec_cap = [base.base_ring().precision_cap, base.default_prec()]
#else:
# prec_cap = list(prec_cap)
#prec_cap = [base.base_ring().precision_cap(), base.default_prec()]
if adjuster is None:
adjuster = _default_adjuster()
if dettwist is not None:
dettwist = ZZ(dettwist)
if dettwist == 0:
dettwist = None
return (k, p, tuple(prec_cap), base, character, adjuster, act_on_left, dettwist)
