2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169785We show examples of knots with the same polynomial invariants and hyperbolic volumes, with variously coinciding 2-cable polynomials and colored Jones polynomials, which are not mutants.19 pages, 10 figures, 2 tables, with an appendix by Daniel Matei; rev 26 Feb 07: theorem 1.2 and references put in; rev 24 Sep 08: some minor reorganization and few corrections, mainly in proof of Theorem 4.2Geometric TopologyQuantum Algebra57M25, 57N70text