gh-35054: Implementing q-commuting Laurent polynomials.
    
`q`-commuting polynomials were introduced in #34412. This implements the
followup #34472 of `q`-commuting Laurent polynomials.
    
URL: #35054
Reported by: Travis Scrimshaw
Reviewer(s): Frédéric Chapoton

Author: Release Manager

src/sage/algebras/catalog.py

@@ -62,6 +62,8 @@
 - :class:`algebras.PlanarPartition <sage.combinat.diagram_algebras.PlanarAlgebra>`
 - :class:`algebras.qCommutingPolynomials
   <sage.algebras.q_commuting_polynomials.qCommutingPolynomials>`
+- :class:`algebras.qCommutingLaurentPolynomials
+  <sage.algebras.q_commuting_polynomials.qCommutingLaurentPolynomials>`
 - :class:`algebras.QuantumGroup
   <sage.algebras.quantum_groups.quantum_group_gap.QuantumGroup>`
 - :func:`algebras.Quaternion
@@ -127,6 +129,7 @@
             'QuantumMatrixCoordinateAlgebra', 'QuantumMatrixCoordinate')
 lazy_import('sage.algebras.quantum_matrix_coordinate_algebra', 'QuantumGL')
 lazy_import('sage.algebras.q_commuting_polynomials', 'qCommutingPolynomials')
+lazy_import('sage.algebras.q_commuting_polynomials', 'qCommutingLaurentPolynomials')
 lazy_import('sage.algebras.tensor_algebra', 'TensorAlgebra', 'Tensor')
 lazy_import('sage.algebras.quantum_groups.quantum_group_gap', 'QuantumGroup')
 lazy_import('sage.algebras.quantum_groups.ace_quantum_onsager',