diff --git a/Project.toml b/Project.toml
index 6005da0b02..789ff57296 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "Hecke"
 uuid = "3e1990a7-5d81-5526-99ce-9ba3ff248f21"
-version = "0.22.9"
+version = "0.23.0-DEV"
 
 [deps]
 AbstractAlgebra = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
@@ -28,7 +28,7 @@ GAPExt = "GAP"
 PolymakeExt = "Polymake"
 
 [compat]
-AbstractAlgebra = "^0.33.0"
+AbstractAlgebra = "^0.34.1"
 Dates = "1.6"
 Distributed = "1.6"
 GAP = "0.9.6, 0.10"
@@ -37,7 +37,7 @@ LazyArtifacts = "1.6"
 Libdl = "1.6"
 LinearAlgebra = "1.6"
 Markdown = "1.6"
-Nemo = "^0.37.4"
+Nemo = "^0.38.1"
 Pkg = "1.6"
 Polymake = "0.10, 0.11"
 Printf = "1.6"
diff --git a/docs/src/quad_forms/basics.md b/docs/src/quad_forms/basics.md
index 4cd5cef002..de5501d752 100644
--- a/docs/src/quad_forms/basics.md
+++ b/docs/src/quad_forms/basics.md
@@ -21,7 +21,7 @@ following spaces for the rest of this section:
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(7);
+K, a = cyclotomic_real_subfield(7);
 Kt, t = K["t"];
 E, b = number_field(t^2-a*t+1, "b");
 Q = quadratic_space(K, K[0 1; 1 0])
@@ -59,7 +59,7 @@ space $H$:
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(7);
+K, a = cyclotomic_real_subfield(7);
 Kt, t = K["t"];
 E, b = number_field(t^2-a*t+1, "b");
 H = hermitian_space(E, 3);
@@ -96,7 +96,7 @@ Note that the `is_hermitian` function tests whether the space is non-quadratic.
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(7);
+K, a = cyclotomic_real_subfield(7);
 Kt, t = K["t"];
 E, b = number_field(t^2-a*t+1, "b");
 Q = quadratic_space(K, K[0 1; 1 0]);
@@ -123,7 +123,7 @@ restrict_scalars(::AbstractSpace, ::QQField, ::FieldElem)
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(7);
+K, a = cyclotomic_real_subfield(7);
 Kt, t = K["t"];
 E, b = number_field(t^2-a*t+1, "b");
 Q = quadratic_space(K, K[0 1; 1 0]);
@@ -160,7 +160,7 @@ of $O_K$ above $7$, one can get:
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(7);
+K, a = cyclotomic_real_subfield(7);
 Q = quadratic_space(K, K[0 1; 1 0]);
 OK = maximal_order(K);
 p = prime_decomposition(OK, 7)[1][1];
@@ -196,7 +196,7 @@ embed respectively locally or globally into $Q$ or $H$:
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(7);
+K, a = cyclotomic_real_subfield(7);
 Kt, t = K["t"];
 E, b = number_field(t^2-a*t+1, "b");
 Q = quadratic_space(K, K[0 1; 1 0]);
@@ -247,7 +247,7 @@ orthogonal_projection(::AbstractSpace, ::MatElem)
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(7);
+K, a = cyclotomic_real_subfield(7);
 Kt, t = K["t"];
 Q = quadratic_space(K, K[0 1; 1 0]);
 orthogonal_complement(Q, matrix(K, 1, 2, [1 0]))
@@ -268,7 +268,7 @@ is_isotropic(::AbstractSpace, p)
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(7);
+K, a = cyclotomic_real_subfield(7);
 Kt, t = K["t"];
 E, b = number_field(t^2-a*t+1, "b");
 H = hermitian_space(E, 3);
@@ -295,7 +295,7 @@ is_locally_hyperbolic(::HermSpace, ::NfOrdIdl)
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(7);
+K, a = cyclotomic_real_subfield(7);
 Kt, t = K["t"];
 E, b = number_field(t^2-a*t+1, "b");
 H = hermitian_space(E, 3);
diff --git a/docs/src/quad_forms/genusherm.md b/docs/src/quad_forms/genusherm.md
index 9055d7b7ad..63f9bc448a 100644
--- a/docs/src/quad_forms/genusherm.md
+++ b/docs/src/quad_forms/genusherm.md
@@ -473,7 +473,7 @@ hermitian_genera(::Hecke.NfRel, ::Int, ::Dict{InfPlc, Int}, ::Union{Hecke.NfRelO
 
 ```@repl 2
 using Hecke # hide
-K, a = CyclotomicRealSubfield(8, "a");
+K, a = cyclotomic_real_subfield(8, "a");
 Kt, t = K["t"];
 E, b = number_field(t^2 - a * t + 1);
 p = prime_decomposition(maximal_order(K), 2)[1][1];
diff --git a/src/LargeField/misc2.jl b/src/LargeField/misc2.jl
index c04fbc128f..a4efee0fd4 100644
--- a/src/LargeField/misc2.jl
+++ b/src/LargeField/misc2.jl
@@ -388,7 +388,7 @@ end
 #=
 
 Qx,x = polynomial_ring(FlintQQ, "a")
-K, a = CyclotomicRealSubfield(1024, "a");
+K, a = cyclotomic_real_subfield(1024, "a");
 @time fb_int = Hecke.int_fb_max_real(1024, 2^20);
 h = Hecke.auto_of_maximal_real(K, 3);
 b = [K(1), a]
@@ -398,7 +398,7 @@ fb_int = FactorBase(ZZRingElem[x for x = vcat(fb_int[1], fb_int[2], fb_int[3])])
 @time Hecke.basis_rels_5(b, 600, 10, 5, fb_int)
 
 Qx,x = polynomial_ring(FlintQQ, "a")
-K, a = CyclotomicRealSubfield(512, "a");
+K, a = cyclotomic_real_subfield(512, "a");
 @time fb_int = Hecke.int_fb_max_real(512, 2^18);
 h = Hecke.auto_of_maximal_real(K, 3);
 b = [K(1), a]
diff --git a/src/Misc/Poly.jl b/src/Misc/Poly.jl
index 355b5b7f1a..1f937ddbd6 100644
--- a/src/Misc/Poly.jl
+++ b/src/Misc/Poly.jl
@@ -418,7 +418,7 @@ function n_positive_roots(f::ZZPolyRingElem; multiplicities::Bool = false)
   if !multiplicities
     ffp = derivative(ff)
     g = gcd(ff, ffp)
-    if isconstant(g)
+    if is_constant(g)
       return _n_positive_roots_sf(f)
     else
       return n_positive_roots(divexact(ff, g))::Int
@@ -446,7 +446,7 @@ function _n_positive_roots_sf(f::ZZPolyRingElem)
   # Here a = 0
   _, f = remove(f, gen(parent(f)))
 
-  if isconstant(f)
+  if is_constant(f)
     # f = x^n * a, so no positive root
     return 0
   end
@@ -465,7 +465,7 @@ function n_real_roots(f::ZZPolyRingElem)
   ff = Hecke.Globals.Qx(f)
   ffp = derivative(ff)
   g = gcd(ff, ffp)
-  if isconstant(g)
+  if is_constant(g)
     return _n_real_roots_sf(f)
   else
     return n_real_roots(divexact(ff, g))::Int
diff --git a/src/NumField/NfAbs/Cyclotomic.jl b/src/NumField/NfAbs/Cyclotomic.jl
index e30b64a522..2fe7fea55a 100644
--- a/src/NumField/NfAbs/Cyclotomic.jl
+++ b/src/NumField/NfAbs/Cyclotomic.jl
@@ -10,7 +10,7 @@ conductor, return a generating set for the cyclotomic units of $K$.
 # Examples
 
 ```jldoctest
-julia> K, a = CyclotomicRealSubfield(7);
+julia> K, a = cyclotomic_real_subfield(7);
 
 julia> cyclotomic_units_totally_real(K)
 3-element Vector{nf_elem}:
@@ -150,7 +150,7 @@ function cyclotomic_regulator(n::Int, prec::Int; maximal_totally_real::Bool = fa
   # If we only care about regulators, this is not a problem, as we
   # just have to scale appropriately.
   if is_prime(n)
-    K, = CyclotomicRealSubfield(n, cached = false)
+    K, = cyclotomic_real_subfield(n, cached = false)
     if degree(K) == 1
       return regulator(nf_elem[], prec)
     end
@@ -163,7 +163,7 @@ function cyclotomic_regulator(n::Int, prec::Int; maximal_totally_real::Bool = fa
     end
   else
     @assert is_prime_power(n)
-    K, = CyclotomicRealSubfield(n, cached = false)
+    K, = cyclotomic_real_subfield(n, cached = false)
     cyc = _cyclotomic_units_totally_real_prime_power_conductor(K, n, true)
     # cyc is in K(zeta_n)
     reg = regulator(cyc[2:end], prec)
diff --git a/src/NumField/NfRel/NfRel.jl b/src/NumField/NfRel/NfRel.jl
index 1e32782053..9e0c294d7d 100644
--- a/src/NumField/NfRel/NfRel.jl
+++ b/src/NumField/NfRel/NfRel.jl
@@ -915,7 +915,7 @@ Number field with defining polynomial $ - 1
 ```
 """
 function cyclotomic_field_as_cm_extension(n::Int; cached::Bool = true)
-  K, a = CyclotomicRealSubfield(n, Symbol("(z_$n + 1//z_$n)"), cached = cached)
+  K, a = cyclotomic_real_subfield(n, Symbol("(z_$n + 1//z_$n)"), cached = cached)
   Kt, t = polynomial_ring(K, "t", cached = false)
   E, b = number_field(t^2-a*t+1, "z_$n", cached = cached)
   set_attribute!(E, :cyclo, n)
diff --git a/test/NfOrd/LinearAlgebra.jl b/test/NfOrd/LinearAlgebra.jl
index 5d1b3b7ea7..4a3fd7f41b 100644
--- a/test/NfOrd/LinearAlgebra.jl
+++ b/test/NfOrd/LinearAlgebra.jl
@@ -179,7 +179,7 @@
   @test Hecke._spans_subset_of_pseudohnf(pm, pm, :lowerleft)
 
   # issue 1112
-  K, a = CyclotomicRealSubfield(8, "a");
+  K, a = cyclotomic_real_subfield(8, "a");
   Kt, t = K["t"];
   E, b = number_field(t^2 - a * t + 1, "b");
   V = hermitian_space(E, gram_matrix(root_lattice(:E, 8)));
diff --git a/test/NumField/Hilbert.jl b/test/NumField/Hilbert.jl
index 84b10c5183..bb5607256f 100644
--- a/test/NumField/Hilbert.jl
+++ b/test/NumField/Hilbert.jl
@@ -36,7 +36,7 @@
   @test quadratic_defect(QQ(1//9),ZZ(3)) == PosInf()
 
   # Test where Magma div(x, y) differs from julia div(x, y) (internally)
-  K, a = CyclotomicRealSubfield(8, "a") # x^2 - 2
+  K, a = cyclotomic_real_subfield(8, "a") # x^2 - 2
   z = 9278908160780559301//4*a+6561375391013480455//2
   w = K(-2)
   p = prime_decomposition(maximal_order(K), 2)[1][1]
diff --git a/test/NumField/NfAbs/Cyclotomic.jl b/test/NumField/NfAbs/Cyclotomic.jl
index 93c49fb9f7..5fbd897dcd 100644
--- a/test/NumField/NfAbs/Cyclotomic.jl
+++ b/test/NumField/NfAbs/Cyclotomic.jl
@@ -1,11 +1,11 @@
 @testset "Cyclotomic" begin
   for q in [7, 7^2, 2^2, 2^3, 2^4]
-    K, a = CyclotomicRealSubfield(q)
+    K, a = cyclotomic_real_subfield(q)
     v = cyclotomic_units_totally_real(K)
     @test length(v) == degree(K) # = unit rank + 1
   end
 
-  K, a = CyclotomicRealSubfield(7)
+  K, a = cyclotomic_real_subfield(7)
   v = cyclotomic_units_totally_real(K)
   # Class number of Q(zeta_7)^+ is one, so the cyclotomic units are the units
   @test overlaps(regulator(maximal_order(K)), regulator(v[2:end]))
diff --git a/test/QuadForm/Herm/Genus.jl b/test/QuadForm/Herm/Genus.jl
index 31b5d2761d..1a99d8b99b 100644
--- a/test/QuadForm/Herm/Genus.jl
+++ b/test/QuadForm/Herm/Genus.jl
@@ -421,7 +421,7 @@
   #
   #############################################################################
 
-  K, a = CyclotomicRealSubfield(8, "a")
+  K, a = cyclotomic_real_subfield(8, "a")
   Kt, t = polynomial_ring(K, "t")
   L, b = number_field(t^2 - a * t + 1)
 
@@ -461,7 +461,7 @@
     @test (@inferred representative(G[i])) in G[i]
   end
 
-  K, a = CyclotomicRealSubfield(8, "a")
+  K, a = cyclotomic_real_subfield(8, "a")
   Kt, t = K["t"]
   L, b = number_field(t^2 - a * t + 1)
   p = prime_decomposition(maximal_order(K), 2)[1][1]
@@ -486,7 +486,7 @@
   @test all(x -> x in Gs, myG)
   @test all(x -> x in myG, Gs)
 
-  K, a = CyclotomicRealSubfield(8, "a")
+  K, a = cyclotomic_real_subfield(8, "a")
   Kt, t = K["t"]
   L, b = number_field(t^2 - a * t + 1)
   rlp = real_places(K)
diff --git a/test/QuadForm/Lattices.jl b/test/QuadForm/Lattices.jl
index 3e0145eb0c..90216feb5c 100644
--- a/test/QuadForm/Lattices.jl
+++ b/test/QuadForm/Lattices.jl
@@ -110,7 +110,7 @@
   M = @inferred Hecke.maximal_integral_lattice(V)
   @test Hecke.genus(M, p) == genus(HermLat, L, p, [(-2, 2, 1, 0), (0, 1, 1, 0)])
 
-  K, a = CyclotomicRealSubfield(8, "a")
+  K, a = cyclotomic_real_subfield(8, "a")
   Kt, t = K["t"]
   E, b = number_field(t^2 - a * t + 1, "b")
   p = prime_decomposition(maximal_order(K), 2)[1][1]
@@ -148,7 +148,7 @@
   L = Hecke._to_number_field_lattice(E8)
   @test L == dual(L)
 
-  K, a = CyclotomicRealSubfield(8, "a")
+  K, a = cyclotomic_real_subfield(8, "a")
   Kt, t = K["t"]
   E, b = number_field(t^2 - a * t + 1, "b")
   V = hermitian_space(E, gram_matrix(root_lattice(:E, 8)))