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We propose an efficient variant for the initialisation step of quadratic sieving, the sieving step of the quadratic sieve and its variants, which is also used in sieving-based algorithms for computing class groups of quadratic fields. As an application we computed the class groups of imaginary quadratic fields with 100-, 110-, 120-, and 130-digit discriminants.
Luis Guillermo Villanueva Torrijo, Furkan Ayhan
Rachid Guerraoui, Jovan Komatovic, Manuel José Ribeiro Vidigueira