diff --git a/engine-proto/gram-test/Engine.jl b/engine-proto/gram-test/Engine.jl
index e52982d..01ca9a2 100644
--- a/engine-proto/gram-test/Engine.jl
+++ b/engine-proto/gram-test/Engine.jl
@@ -254,6 +254,11 @@ end
 LinearAlgebra.eigen!(A::Symmetric{BigFloat, Matrix{BigFloat}}; sortby::Nothing) =
   eigen!(Hermitian(A))
 
+function convertnz(type, mat)
+  J, K, values = findnz(mat)
+  sparse(J, K, type.(values))
+end
+
 function realize_gram_optim(
   gram::SparseMatrixCSC{T, <:Any},
   guess::Matrix{T}
diff --git a/engine-proto/gram-test/circles-in-triangle.jl b/engine-proto/gram-test/circles-in-triangle.jl
index a919b8e..aa24c0f 100644
--- a/engine-proto/gram-test/circles-in-triangle.jl
+++ b/engine-proto/gram-test/circles-in-triangle.jl
@@ -86,7 +86,7 @@ L, history = Engine.realize_gram_gradient(gram, guess, scaled_tol = 0.01)
 L_pol, history_pol = Engine.realize_gram_newton(gram, L, rate = 0.3, scaled_tol = 1e-9)
 L_pol2, history_pol2 = Engine.realize_gram_newton(gram, L_pol)
 =#
-L, success, history = Engine.realize_gram(Float64.(gram), Float64.(guess))
+L, success, history = Engine.realize_gram(Engine.convertnz(Float64, gram), Float64.(guess))
 completed_gram = L'*Engine.Q*L
 println("Completed Gram matrix:\n")
 display(completed_gram)