diff --git a/engine-proto/gram-test/descent-test.jl b/engine-proto/gram-test/descent-test.jl
index d895764..2f20143 100644
--- a/engine-proto/gram-test/descent-test.jl
+++ b/engine-proto/gram-test/descent-test.jl
@@ -21,7 +21,7 @@ end
 # === example ===
 
 # the Lorentz form
-Q = diagm([-1, 1, 1, 1, 1])
+Q = diagm([1, 1, 1, 1, -1])
 
 # initialize the partial gram matrix for an arrangement of seven spheres in
 # which spheres 1 through 5 are mutually tangent, and spheres 3 through 7 are
@@ -54,11 +54,11 @@ gram[1, 6] = gram[6, 1]
 # in this initial guess, the mutual tangency condition is satisfied for spheres
 # 1 through 5
 guess = sqrt(0.5) * BigFloat[
-  1  1  1  1  2        0.2  0.1;
-  0  0  0  0 -sqrt(6)  0.3 -0.2;
   1  1 -1 -1  0       -0.1  0.3;
   1 -1  1 -1  0       -0.5  0.4;
-  1 -1 -1  1  0        0.1 -0.2
+  1 -1 -1  1  0        0.1 -0.2;
+  0  0  0  0 -sqrt(6)  0.3 -0.2;
+  1  1  1  1  2        0.2  0.1;
 ]
 
 # search parameters