diff --git a/engine-proto/gram-test/tetrahedron-radius-ratio.jl b/engine-proto/gram-test/tetrahedron-radius-ratio.jl
index bb89268..957f031 100644
--- a/engine-proto/gram-test/tetrahedron-radius-ratio.jl
+++ b/engine-proto/gram-test/tetrahedron-radius-ratio.jl
@@ -8,21 +8,21 @@ using Random
 J = Int64[]
 K = Int64[]
 values = BigFloat[]
-for j in 1:10
-  for k in 1:10
+for j in 1:11
+  for k in 1:11
     filled = false
-    if j == 10
+    if j == 11
       if k <= 4
         push!(values, 0)
         filled = true
       end
-    elseif k == 10
+    elseif k == 11
       if j <= 4
         push!(values, 0)
         filled = true
       end
     elseif j == k
-      push!(values, j <= 5 ? 1 : 0)
+      push!(values, j <= 6 ? 1 : 0)
       filled = true
     elseif j <= 4
       if k <= 4
@@ -31,7 +31,7 @@ for j in 1:10
       elseif k == 5
         push!(values, -1)
         filled = true
-      elseif k <= 9 && k - j != 5
+      elseif 7 <= k <= 10 && k - j != 6
         push!(values, 0)
         filled = true
       end
@@ -39,10 +39,13 @@ for j in 1:10
       if j == 5
         push!(values, -1)
         filled = true
-      elseif j <= 9 && j - k != 5
+      elseif 7 <= j <= 10 && j - k != 6
         push!(values, 0)
         filled = true
       end
+    elseif j == 6 && 7 <= k <= 10 || k == 6 && 7 <= j <= 10
+      push!(values, 0)
+      filled = true
     end
     if filled
       push!(J, j)
@@ -56,12 +59,12 @@ gram = sparse(J, K, values)
 Random.seed!(99230)
 guess = hcat(
   sqrt(1/BigFloat(3)) * BigFloat[
-    1  1 -1 -1  0
-    1 -1  1 -1  0
-    1 -1 -1  1  0
-    0  0  0  0 -1.5
-    1  1  1  1 -0.5
-  ] + 0.2*Engine.rand_on_shell(fill(BigFloat(-1), 5)),
+    1  1 -1 -1  0    0
+    1 -1  1 -1  0    0
+    1 -1 -1  1  0    0
+    0  0  0  0 -1.5 -3
+    1  1  1  1 -0.5 -1
+  ] + 0.2*Engine.rand_on_shell(fill(BigFloat(-1), 6)),
   Engine.point([-1, -1, -1]),
   Engine.point([-1,  1,  1]),
   Engine.point([ 1, -1,  1]),
@@ -69,8 +72,8 @@ guess = hcat(
   BigFloat[0, 0, 0, 0, 1]
 )
 frozen = vcat(
-  [CartesianIndex(4, k) for k in 6:9],
-  [CartesianIndex(j, 10) for j in 1:5]
+  [CartesianIndex(4, k) for k in 7:10],
+  [CartesianIndex(j, 11) for j in 1:5]
 )
 
 # complete the gram matrix