code: def sig_mult(s, m):
      """
      Multiply a signature by a monomial.
  
      The product of a signature (m, i) and a monomial n is defined as
      (m * t, i).
      """
      return sig(monomial_mul(s[0], m), s[1])
  
imports: from sympy.core.symbol import Dummy
  from sympy.polys.monomials import monomial_mul, monomial_lcm, monomial_divides, term_div
  from sympy.polys.orderings import lex
  from sympy.polys.polyerrors import DomainError
  from sympy.polys.polyconfig import query
label_desc: Use image node_id 11 for calling a global function with example usage: sig_mult(s, m) and returns: sig