This work was supported by the European Research Council(ERC)under the European Union's Horizon 2020 research and in-novation program(Grant Agreement No.787539).It was also supported by Grant No.ANR-17-CE30-0026-Pinnacle from the Agence Nationale de la Recherche.We acknowledge GENCI,France,for granting us access to HPC resources at TGCC/CCRT(Allocation No.A0010506129).S.N.C.acknowledges support from the Extreme Light Infrastructure Nuclear Physics(ELI-NP)Phase Ⅱ,a project co-financed by the Romanian Government and the European Union through the European Regional Development Fund-the Competi-tiveness Operational Programme(1/07 July2016,COP,ID 1334),and by the project ELI-RO-2020-23 funded by IFA(Romania).The PETAL laser was designed and constructed by CEA under the fi-nancial auspices of the Conseil Régional d'Aquitaine,the French Ministry of Research,and the European Union.The CRACC diag-nostic was designed and commissioned on the LMJ-PETAL facility as a result of the PETAL+project coordinated by University of Bordeaux and funded by the French Agence Nationale de la Recherche under Grant No.ANR-10-EQPX-42-01.The LMJ-PETAL experiment presented in this article was supported by the Association Lasers et Plasmas and by CEA.The diagnostics used in the experiment have been realized in the framework of the EquipEx PETAL+via Contract No.ANR-10-EQPX-0048. （ERC）