diff --git a/lectures/laffer_adaptive.md b/lectures/laffer_adaptive.md
index 64c444f..55e3942 100644
--- a/lectures/laffer_adaptive.md
+++ b/lectures/laffer_adaptive.md
@@ -170,8 +170,6 @@ from collections import namedtuple
 import numpy as np
 import matplotlib.pyplot as plt
 from matplotlib.ticker import MaxNLocator
-from matplotlib.cm import get_cmap
-from matplotlib.colors import to_rgba
 import matplotlib
 from scipy.optimize import root, fsolve
 ```