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Ticket Summary Keywords Status Owner Type Priority
#2420 Extending the gap interface to uni- and multivariate polynomial rings over number fields gap interface, polynomial rings, number fields, interface cache needs_work SimonKing enhancement major
#4621 '2' not in QQbar -- canonical embedding of subfields canonical embedding subfield needs_info tbd defect major
#4625 improve pth power map for finite fields of characteristic p field element, frobenius new somebody enhancement major
#4738 base_ring of orders in relative number fields is wrong (fix at #5842) base ring relative number field order new davidloeffler defect major
#5126 error coercing stacked polynomial rings to relative number fields polynomial ring coercion relative number field new davidloeffler defect major
#5127 relative number fields have bad names for internal coercion routines relative number fields names coercion new davidloeffler defect major
#6079 [with patch, needs work] modernize base inclusion morphism of relative number fields base inclusion morphism relative number field needs_work davidloeffler enhancement major
#6204 [with patch, needs work] make norms for degree 1 relative number fields work; add doctests degree 1 relative number field norm needs_work davidloeffler enhancement major
#6312 [with patches, needs work] optional doctest failure -- galois_group Number Field Galois group needs_work tbd defect major
#7234 Unit groups for finite fields (and more generally) unit group finite field ring needs_work tbd enhancement major
#8558 add a fast gcd algorithm for univariate polynomials over absolute number fields gcd, pari, ntl, number field needs_review AlexGhitza enhancement major
#8972 Inversion and fraction fields for power series rings power series ring, fraction field needs_work defect major
#9057 Supporting elliptic curves over function fields and their L-functions elliptic curves, L-functions, function fields needs_work cremona enhancement major
#9407 fixed fields for dirichlet characters and conductors and dirichlet characters for abelian fields Dirichlet characters, abelian fields, class field theory needs_work davidloeffler enhancement major
#10591 Implement univariate polynomial rings over absolute number fields number fields, polynomials, performance new AlexGhitza enhancement major
#11041 Implement the number field method for computing 2-Selmer groups of elliptic curves natively in Sage. descent, selmer, number field new weigandt enhancement major
#11055 Bug in mapping to residue fields residue field new davidloeffler defect major
#11239 Incorrect coercion of polynomials over finite fields finite fields, polynomials, coercion needs_info robertwb defect major
#11872 Discrimant of RDF polynomials fails real complex double field resultant new AlexGhitza defect major
#11938 FiniteField_givaro defined by Conway polynomials: conversion of elements from F_{p^n} to F_{p^m} finite field, givaro, Conway polynomial, conversion, coercion needs_info cpernet enhancement major
#12064 Update residue fields to use dynamic classes residue fields, dynamic classes needs_review davidloeffler enhancement major
#12269 coercion and conversion for absolute_field coercion conversion absolute_field number field structure relative absolute new davidloeffler enhancement major
#12271 coercion and conversion for relativize relativize conversion coercion number field new davidloeffler enhancement major
#12573 sum of powers of root of unity fails sum, number field, root of unity new was defect major
#13214 Frobenius endomorphism over finite fields frobenius finite fields needs_work AlexGhitza enhancement major
#13256 abs floor ceil for quadratic number field absolute value, floor, ceiling, number field, quadratic needs_review vdelecroix enhancement major
#13305 Bug in K.units() for K a number field units number fields needs_review davidloeffler defect major
#13607 bug dans 5.3 lorsque l'on veut injecter un élément d'ordre q-1, appartenant à une extension de F_q, dans F_q. finite fields, coercion new robertwb defect major
#13637 Add multiplicative order to complex interval field multiplicative order, complex interval field new tscrim enhancement major
#14164 Error in NumberField.composite_fields() number field new davidloeffler defect major
#14367 RuntimeError: There is a bug in the coercion code in Sage (number field to padic) coercion, number field, p-adic new robertwb defect major
#14563 faster coercion from Integer to Quadratic Number fields quadratic number field, coercion needs_review vdelecroix enhancement major
#2474 RealIntervalField should have a round method (maybe ComplexIntervalField should too) RIF CIF RealIntervalField ComplexIntervalField round new somebody defect minor
#5530 add absolute_diameter and relative_diameter to CIF (ComplexIntervalField) complex interval field diameter absolute relative new somebody enhancement minor
#5746 rational points over subfields of the (finite) field of definition rational points finite field new AlexGhitza enhancement minor
#6092 make subfield/relativize accept multiple elements subfield relativize number field multiple elements new davidloeffler enhancement minor
#7348 speed up computation of multiplicative orders of finite field elements Finite Field new tbd enhancement minor
#8252 names parameter in optimized_representation is tweaked, number fields new davidloeffler defect minor
#10168 fraction field of InfinitePolynomialRing fraction field needs_review malb defect minor
#10971 Finite Field elements in terms of powers of a generator GF, finite field new joyner enhancement minor
#11093 Isogenies of elliptic curves over finite fields isogenies, finite fields new cremona enhancement minor
#11368 can't coerce pari to rational function field coercion pari rational fraction_field string new robertwb defect minor
#11554 Fix for denominator_ideal function denominator, ideal, number field needs_work davidloeffler defect minor
#11983 unnecessary parentheses for coefficients (finite field) in multivariate polynomial parentheses, multivariate polynomial, finite field new was defect minor
#12046 Fix for numerator_ideal function numerator, ideal, number field needs_work davidloeffler defect minor
#12170 Genus computation (using singular) and _singular_ object for function filed function field, genus, singular needs_review AlexGhitza enhancement minor
#12194 Enhancing function field capabilities: collapse a tower of function field extensions to a simple extension and more function fields needs_info malb enhancement minor
#12887 Optional args in Matrix_Mod submatrix method matrix, finite field, submatrix needs_review jason, was defect minor
#14212 add optional "names" argument to absolute_ideal absolute ideal, absolute field, needs_review davidloeffler enhancement minor
#14312 degree of number field polynomial is python int polynomial degree int integer number field new malb defect minor
#7695 naming of the variable in subfields of cyclotomic fields cyclotomic fields, subfields needs_review davidloeffler defect trivial
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