X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2Feja_algebra.py;h=0f2b655f21795cb1feb0e8b41cfc878261a67962;hb=c4203897950b84665ea41ed103f87f68aee0852e;hp=71cdd6f133623d49469569f70ef9504f8b1efd10;hpb=103fede29ce3213dab4a088ab8a7839470a9e341;p=sage.d.git

diff --git a/mjo/eja/eja_algebra.py b/mjo/eja/eja_algebra.py
index 71cdd6f..0f2b655 100644
--- a/mjo/eja/eja_algebra.py
+++ b/mjo/eja/eja_algebra.py
@@ -5,7 +5,7 @@ are used in optimization, and have some additional nice methods beyond
 what can be supported in a general Jordan Algebra.
 """
 
-from itertools import izip, repeat
+from itertools import repeat
 
 from sage.algebras.quatalg.quaternion_algebra import QuaternionAlgebra
 from sage.categories.magmatic_algebras import MagmaticAlgebras
@@ -1032,7 +1032,7 @@ class MatrixEuclideanJordanAlgebra(FiniteDimensionalEuclideanJordanAlgebra):
                 basis = tuple( s.change_ring(field) for s in basis )
             self._basis_normalizers = tuple(
                 ~(self.natural_inner_product(s,s).sqrt()) for s in basis )
-            basis = tuple(s*c for (s,c) in izip(basis,self._basis_normalizers))
+            basis = tuple(s*c for (s,c) in zip(basis,self._basis_normalizers))
 
         Qs = self.multiplication_table_from_matrix_basis(basis)
 
@@ -1055,8 +1055,8 @@ class MatrixEuclideanJordanAlgebra(FiniteDimensionalEuclideanJordanAlgebra):
             # with had entries in a nice field.
             return super(MatrixEuclideanJordanAlgebra, self)._charpoly_coeff(i)
         else:
-            basis = ( (b/n) for (b,n) in izip(self.natural_basis(),
-                                              self._basis_normalizers) )
+            basis = ( (b/n) for (b,n) in zip(self.natural_basis(),
+                                             self._basis_normalizers) )
 
             # Do this over the rationals and convert back at the end.
             J = MatrixEuclideanJordanAlgebra(QQ,
@@ -1066,7 +1066,7 @@ class MatrixEuclideanJordanAlgebra(FiniteDimensionalEuclideanJordanAlgebra):
             (_,x,_,_) = J._charpoly_matrix_system()
             p = J._charpoly_coeff(i)
             # p might be missing some vars, have to substitute "optionally"
-            pairs = izip(x.base_ring().gens(), self._basis_normalizers)
+            pairs = zip(x.base_ring().gens(), self._basis_normalizers)
             substitutions = { v: v*c for (v,c) in pairs }
             result = p.subs(substitutions)