32686: Change example outputs

Author: guojing0

src/sage/schemes/projective/projective_space.py

@@ -1558,19 +1558,19 @@ def hyperplane_transformation_matrix(self, plane_1, plane_2):
             sage: plane1 = P.subscheme(x + 2*y + z)
             sage: plane2 = P.subscheme(2*x + y + z)
             sage: P.hyperplane_transformation_matrix(plane1, plane2)
-            [ 1/2    0    0    0]
-            [-1/2    1    0    0]
-            [   0    0  1/2    0]
-            [   0    0    0    1]
+            [1 0 0 0]
+            [0 4 0 0]
+            [0 0 2 0]
+            [0 0 0 1]
 
         ::
 
             sage: P.<x,y> = ProjectiveSpace(ZZ, 1)
             sage: plane1 = P.subscheme(x + y)
             sage: plane2 = P.subscheme(y)
             sage: P.hyperplane_transformation_matrix(plane1, plane2)
-            [1 0]
-            [1 1]
+            [-1  0]
+            [ 1  1]
 
         ::
 
@@ -1580,9 +1580,9 @@ def hyperplane_transformation_matrix(self, plane_1, plane_2):
             sage: plane2 = P.subscheme(x + v*y + v*z)
             sage: m = P.hyperplane_transformation_matrix(plane1, plane2)
             sage: m
-            [-4/21*v + 23/21 10/21*v + 16/21    8/21*v + 1/7]
-            [   8/21*v + 8/7   -8/21*v - 8/7   -8/21*v - 8/7]
-            [  4/21*v + 5/21  -2/21*v + 8/21               1]
+            [   v    0    0]
+            [   0 -2*v    0]
+            [   0    0    1]
 
         ::
 
@@ -1592,10 +1592,10 @@ def hyperplane_transformation_matrix(self, plane_1, plane_2):
             sage: plane1 = P.subscheme(k*x + 2*k*y + z)
             sage: plane2 = P.subscheme(7*k*x + y + 9*z)
             sage: m = P.hyperplane_transformation_matrix(plane1, plane2); m
-            [     -4/65*k - 1/130                    0                    0                    0]
-            [    -25/52*k - 21/52   -139/130*k + 7/130  137/260*k - 121/260                    0]
-            [                   0                    0      -4/65*k - 1/130                    0]
-            [ 139/260*k + 123/260  139/130*k + 123/130 -123/260*k + 139/260                    1]
+            [   1    0    0    0]
+            [   0 14*k    0    0]
+            [   0    0  7/9    0]
+            [   0    0    0    1]
 
         ::
 
@@ -1616,8 +1616,8 @@ def hyperplane_transformation_matrix(self, plane_1, plane_2):
             sage: plane1 = P.subscheme(x + y + z)
             sage: plane2 = P.subscheme(z)
             sage: P.hyperplane_transformation_matrix(plane1, plane2)
-            [0 1 1]
-            [0 0 1]
+            [1 0 0]
+            [1 1 0]
             [1 1 1]
 
         ::
@@ -1627,9 +1627,9 @@ def hyperplane_transformation_matrix(self, plane_1, plane_2):
             sage: plane1 = P.subscheme(x + 9*t*y + z)
             sage: plane2 = P.subscheme(x + z)
             sage: P.hyperplane_transformation_matrix(plane1, plane2)
-            [        -1/81        -1/9*t        -1/9*t]
-            [-1/9*t - 1/81   t^2 + 1/9*t  1/9*t + 1/81]
-            [       -1/9*t          -t^2         -1/81]
+            [  1 9*t   0]
+            [  1   0   0]
+            [  0   0   1]
 
         TESTS::