code: def _arc_jac_sc1(w, m):
      """Real inverse Jacobian sc, with complementary modulus
  
      Solve for z in w = sc(z, 1-m)
  
      w - real scalar
  
      m - modulus
  
      Using that sc(z, m) = -i * sn(i * z, 1 - m)
      cf scipy/signal/_filter_design.py analog for an explanation
      and a reference.
  
      """
  
      zcomplex = _arc_jac_sn(1j * w, m)
      if abs(zcomplex.real) > 1e-14:
          raise ValueError
  
      return zcomplex.imag
  
imports: import warnings
  import math
  from math import pi, prod
  import cupy
  from cupyx.scipy.special import binom
  import cupyx.scipy.special
  from cupyx.scipy.signal import _optimize
  from cupyx.scipy.signal._polyutils import roots, poly
  from cupyx.scipy.signal._lti_conversion import abcd_normalize
label_desc: Use image node_id 35 for calling a global function with example usage: _arc_jac_sc1(w, m) and returns: zcomplex