Figure data for: Nonlinear dispersion relation in integrable turbulence Alexey Tikan1,2, Felicien Bonnefoy3, Guillaume Ducrozet3, Gaurav Prabhudesai4, Guillaume Michel5, Annette Cazaubiel6, Eric Falcon6, Francois Copie1, Stephane Randoux1, and Pierre Suret1,* 1Univ. Lille, CNRS, UMR 8523 -PhLAM - Physique des Lasers Atomes et Molecules, F-59000 Lille, France 2Present address: Institute of Physics, Swiss Federal Institute of Technology Lausanne (EPFL), CH-1015 Lausanne, Switzerland 3Ecole Centrale de Nantes, LHEEA, UMR 6598 CNRS, F-44 321 Nantes, France 4LPS, ENS, CNRS, Univ. Pierre et Marie Curie, Univ. Paris Diderot, F-75 0005 Paris, France 5Institut Jean Le Rond d’Alembert, Sorbonne Universite, CNRS, UMR 7190, F-75 005 Paris, France 6Universite Paris Cite, CNRS, MSC, UMR 7057, F-75013 Paris, France *Pierre.Suret@univ-lille.fr Data can be extracted with the NumPy library of Python. The data remain under copyright by the author.

This work has been partially supported by the Agence Nationale de la Recherche through the LABEX CEMPI project (ANR-11-LABX-0007), the ANR DYSTURB Project (ANR-17-CE30-0004), the ANR SOGOOD Project (ANR-21-CE30-0061-01) and the I-SITE ULNE (ANR-16-IDEX-0004), the Ministry of Higher Education and Research, Hauts de France council and European Regional Development Fund (ERDF) through the the Nord-Pas de Calais Regional Research Council and the European Regional Development Fund (ERDF) through the Contrat de Projets Etat-Région (CPER Photonics for Society P4S). E.F. is thankful for partial support from the Simons Foundation/MPS No. 651463.