def from_cycle_type_to_conjugacy_class_index(self, cycle_type, p):
try:
dict_to_use = self._from_cycle_type_to_conjugacy_class_index_dict
except AttributeError:
import cyc_alt_res_engine
self._from_cycle_type_to_conjugacy_class_index_dict = cyc_alt_res_engine.from_cycle_type_to_conjugacy_class_index_dict(
map(str, self.polynomial()), self.Frobenius_resolvents()
)
# self._from_cycle_type_to_conjugacy_class_index_dict is now a dictionary with keys the the cycle types (as tuples),
# and values functions of the prime that output the conjugacy class index (using different methods depending on local information)
# cyc_alt_res_engine.from_cycle_type_to_conjugacy_class_index_dict constructs this dictionary,
# and only needs to know the defining polynomial of the number field and the frobenius resolvent
# CAUTION: this is not meant to be used for hard primes, even though it would seemingly work
# This is a consequence of Tim's definition of hard primes.
dict_to_use = self._from_cycle_type_to_conjugacy_class_index_dict
try:
fn_to_use = dict_to_use[cycle_type]
except KeyError:
raise KeyError, "Expecting to find key %s, whose entries have type %s, in %s. For info, keys there have entries of type %s" % (
cycle_type,
type(cycle_type[0]),
self._from_cycle_type_to_conjugacy_class_index_dict,
type(self._from_cycle_type_to_conjugacy_class_index_dict.keys()[0][0]),
)
return fn_to_use(p)
def from_cycle_type_to_conjugacy_class_index(self, cycle_type, p):
try:
dict_to_use = self._from_cycle_type_to_conjugacy_class_index_dict
except AttributeError:
import cyc_alt_res_engine
self._from_cycle_type_to_conjugacy_class_index_dict = cyc_alt_res_engine.from_cycle_type_to_conjugacy_class_index_dict(map(str,self.polynomial()), self.Frobenius_resolvents())
# self._from_cycle_type_to_conjugacy_class_index_dict is now a dictionary with keys the the cycle types (as tuples),
# and values functions of the prime that output the conjugacy class index (using different methods depending on local information)
# cyc_alt_res_engine.from_cycle_type_to_conjugacy_class_index_dict constructs this dictionary,
# and only needs to know the defining polynomial of the number field and the frobenius resolvent
# CAUTION: this is not meant to be used for hard primes, even though it would seemingly work
# This is a consequence of Tim's definition of hard primes.
dict_to_use = self._from_cycle_type_to_conjugacy_class_index_dict
try:
fn_to_use = dict_to_use[cycle_type]
except KeyError:
raise KeyError, "Expecting to find key %s, whose entries have type %s, in %s. For info, keys there have entries of type %s" % \
(cycle_type, type(cycle_type[0]), self._from_cycle_type_to_conjugacy_class_index_dict,
type(self._from_cycle_type_to_conjugacy_class_index_dict.keys()[0][0]))
return fn_to_use(p)
