diff --git a/desc/compute/_omnigenity.py b/desc/compute/_omnigenity.py
index 25b720dc9f..949ee9c21f 100644
--- a/desc/compute/_omnigenity.py
+++ b/desc/compute/_omnigenity.py
@@ -429,10 +429,10 @@ def _omni_angle(params, transforms, profiles, data, **kwargs):
 
 @register_compute_fun(
     name="theta_B",
-    label="(\\theta_{B},\\zeta_{B})",
+    label="\\theta_{B}",
     units="rad",
     units_long="radians",
-    description="Boozer angular coordinates",
+    description="Boozer poloidal angle",
     dim=1,
     params=[],
     transforms={},
@@ -477,49 +477,19 @@ def _omni_map_theta_B(params, transforms, profiles, data, **kwargs):
 
 @register_compute_fun(
     name="zeta_B",
-    label="(\\theta_{B},\\zeta_{B})",
+    label="\\zeta_{B}",
     units="rad",
     units_long="radians",
-    description="Boozer angular coordinates",
+    description="Boozer toroidal angle",
     dim=1,
     params=[],
     transforms={},
     profiles=[],
     coordinates="rtz",
-    data=["alpha", "h"],
+    data=["theta_B"],
     parameterization="desc.magnetic_fields._core.OmnigenousField",
-    helicity="tuple: Type of quasisymmetry, (M,N). Default (1,0)",
-    iota="float: Value of rotational transform on the Omnigenous surface. Default 1.0",
 )
 def _omni_map_zeta_B(params, transforms, profiles, data, **kwargs):
-    M, N = kwargs.get("helicity", (1, 0))
-    iota = kwargs.get("iota", 1)
-
-    # coordinate mapping matrix from (alpha,h) to (theta_B,zeta_B)
-    # need a bunch of wheres to avoid division by zero causing NaN in backward pass
-    # this is fine since the incorrect values get ignored later, except in OT or OH
-    # where fieldlines are exactly parallel to |B| contours, but this is a degenerate
-    # case of measure 0 so this kludge shouldn't affect things too much.
-    mat_OP = jnp.array(
-        [[N, iota / jnp.where(N == 0, 1, N)], [0, 1 / jnp.where(N == 0, 1, N)]]
-    )
-    mat_OT = jnp.array([[0, -1], [M, -1 / jnp.where(iota == 0, 1.0, iota)]])
-    den = jnp.where((N - M * iota) == 0, 1.0, (N - M * iota))
-    mat_OH = jnp.array([[N, M * iota / den], [M, M / den]])
-    matrix = jnp.where(
-        M == 0,
-        mat_OP,
-        jnp.where(
-            N == 0,
-            mat_OT,
-            mat_OH,
-        ),
-    )
-
-    # solve for (theta_B,zeta_B) corresponding to (eta,alpha)
-    booz = matrix @ jnp.vstack((data["alpha"], data["h"]))
-    data["theta_B"] = booz[0, :]
-    data["zeta_B"] = booz[1, :]
     return data