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More
Recently modified Knowls
A
nf.abelian
Abelian number field
nf.abs_discriminant
Absolute discriminant of a number field
nf.algebraic_closure
Algebraic closure of a field
nf.arithmetically_equivalent
Arithmetically equivalent fields
nf.assuming_grh
Assuming GRH
C
nf.polredabs
Canonical defining polynomial for number fields
nf.class_number
Class number of a number field
nf.cm_field
CM number field
nf.complex_embedding
Complex embedding
nf.conductor
Conductor of an abelian number field
D
nf.field.data
Data for a global number field
nf.defining_polynomial
Defining Polynomial of a Number Field
nf.degree
Degree of a number field
nf.dirichlet_group
Dirichlet group of an Abelian number field
nf.discriminant
Discriminant of a number field
E
nf.embedding
Embedding of a number field
nf.extent
Extent of global number field data
F
nf.frobenius_cycle_types
Frobenius cycle types
nf.fundamental_units
Fundamental units of a number field
G
nf.galois_closure
Galois closure of an extension
nf.galois_group
Galois group
nf.galois_group.data
Galois group information
nf.galois_group.name
Galois group of a number field -- naming convention
nf.galois_group.gmodule
Galois module information
nf.galois_group.gmodule_v4_type_i_i
Galois module structure of Type I (i) for units in biquadratic number fields
nf.galois_group.gmodule_v4_type_i_ii
Galois module structure of Type I (ii) for units in biquadratic number fields
nf.galois_group.gmodule_v4_type_i_iii
Galois module structure of Type I (iii) for units in biquadratic number fields
nf.galois_group.gmodule_v4_type_ii_i
Galois module structure of Type II (i) for units in biquadratic number fields
nf.galois_group.gmodule_v4_type_ii_ii
Galois module structure of Type II (ii) for units in biquadratic number fields
nf.galois_group.gmodule_v4_type_iii
Galois module structure of Type III for units in biquadratic number fields
nf.galois_group.gmodule_v4_type_iv
Galois module structure of Type IV for units in biquadratic number fields
nf.field_generator
Generator of a number field
nf.generator
Generator of a number field
H
nf.ideal.label.hmf
Hilbert modular form convention for the label of a number field ideal
I
nf.ideal_class_group
Ideal class group of a number field
nf.index
Index of an order
nf.integral_basis
Integral basis of a number field
nf.integral
Integral elements
nf.intermediate_fields
Intermediate fields
nf.is_galois
Is a Galois extension
L
nf.ideal_labels
Labels for number field ideals
nf.local_algebra
Local algebra
M
nf.minimal_polynomial
Minimal polynomial
nf.monomial_order
Monomial order
nf.multiplicative_gal_module
Multiplicative Galois Module Structure
N
nf.narrow_class_group
Narrow class group
nf.narrow_class_number
Narrow class number
nf.defining_polynomial.normalization
Normalization of defining polynomials for number fields
nf
Number field
nf.invariants
Number field invariants
nf.label
Number field label
nf.nickname
Number field nicknames
nf.field.missing
Number field not in the database
O
nf.order
Order
P
nf.prime
Prime of a number field
nf.primitive_element
Primitive element
R
nf.ramified_primes
Ramified (rational) prime of a number field
nf.rank
Rank of a number field
nf.real_embedding
Real embedding
nf.regulator
Regulator of a number field
nf.ring_of_integers
Ring of integers of a number field
nf.roadmap
Roadmap for number fields
nf.root_discriminant
Root discriminant of a number field
S
nf.separable_algebra
Separable algebra
nf.separable
Separable extension
nf.serre_odlyzko_bound
Serre Odlyzko bound
nf.sibling
Sibling fields and algebras
nf.signature
Signature of a number field
nf.stem_field
Stem field for a Galois extension
T
nf.totally_imaginary
Totally imaginary
nf.totally_positive
Totally positive
nf.totally_real
Totally real
nf.sextic_twin
Twin sextic algebra
U
nf.unit_group
Unit group of a number field
nf.torsion
Unit group torsion
nf.unramified_prime
Unramified (rational) prime of a number field
W
nf.weil_height
Weil height