eja: remove pointless abs() calls.

diff --git a/mjo/eja/euclidean_jordan_algebra.py b/mjo/eja/euclidean_jordan_algebra.py
index 747e198f8922e3d6c195c4c7552829526463d405..3a98324cbb7c9a7f18a86677a53785a81988d28b 100644 (file)
--- a/mjo/eja/euclidean_jordan_algebra.py
+++ b/mjo/eja/euclidean_jordan_algebra.py
@@ -188,7 +188,7 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
             Example 11.11::
 
                 sage: set_random_seed()
-                sage: n = ZZ.random_element(1,10).abs()
+                sage: n = ZZ.random_element(1,10)
                 sage: J = JordanSpinSimpleEJA(n)
                 sage: x = J.random_element()
                 sage: while x.is_zero():
@@ -355,7 +355,7 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
             aren't multiples of the identity are regular::
 
                 sage: set_random_seed()
-                sage: n = ZZ.random_element(1,10).abs()
+                sage: n = ZZ.random_element(1,10)
                 sage: J = JordanSpinSimpleEJA(n)
                 sage: x = J.random_element()
                 sage: x == x.coefficient(0)*J.one() or x.degree() == 2
@@ -454,7 +454,7 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
             identity::
 
                 sage: set_random_seed()
-                sage: n = ZZ.random_element(2,10).abs()
+                sage: n = ZZ.random_element(2,10)
                 sage: J = JordanSpinSimpleEJA(n)
                 sage: y = J.random_element()
                 sage: while y == y.coefficient(0)*J.one():
@@ -499,7 +499,7 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
             Alizadeh's Example 11.12::
 
                 sage: set_random_seed()
-                sage: n = ZZ.random_element(1,10).abs()
+                sage: n = ZZ.random_element(1,10)
                 sage: J = JordanSpinSimpleEJA(n)
                 sage: x = J.random_element()
                 sage: x_vec = x.vector()
@@ -549,7 +549,7 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
 
             Property 6:
 
-                sage: k = ZZ.random_element(1,10).abs()
+                sage: k = ZZ.random_element(1,10)
                 sage: actual = (x^k).quadratic_representation()
                 sage: expected = (x.quadratic_representation())^k
                 sage: actual == expected
@@ -790,7 +790,7 @@ def random_eja():
         Euclidean Jordan algebra of degree...
 
     """
-    n = ZZ.random_element(1,5).abs()
+    n = ZZ.random_element(1,5)
     constructor = choice([eja_rn,
                           JordanSpinSimpleEJA,
                           RealSymmetricSimpleEJA,
@@ -825,7 +825,7 @@ def _complex_hermitian_basis(n, field=QQ):
     TESTS::
 
         sage: set_random_seed()
-        sage: n = ZZ.random_element(1,5).abs()
+        sage: n = ZZ.random_element(1,5)
         sage: all( M.is_symmetric() for M in _complex_hermitian_basis(n) )
         True
 
@@ -1002,7 +1002,7 @@ def RealSymmetricSimpleEJA(n, field=QQ):
     The degree of this algebra is `(n^2 + n) / 2`::
 
         sage: set_random_seed()
-        sage: n = ZZ.random_element(1,5).abs()
+        sage: n = ZZ.random_element(1,5)
         sage: J = RealSymmetricSimpleEJA(n)
         sage: J.degree() == (n^2 + n)/2
         True
@@ -1026,7 +1026,7 @@ def ComplexHermitianSimpleEJA(n, field=QQ):
     The degree of this algebra is `n^2`::
 
         sage: set_random_seed()
-        sage: n = ZZ.random_element(1,5).abs()
+        sage: n = ZZ.random_element(1,5)
         sage: J = ComplexHermitianSimpleEJA(n)
         sage: J.degree() == n^2
         True