# Stored data for newform 2013.2.a.h, downloaded from the LMFDB on 24 April 2024.
{"label": "2013.2.a.h", "space_label": "2013.2.a", "level": 2013, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425149917, "dim": 14, "is_polredabs": true, "trace_hash": 1581892543560575353, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 15, 74, -386, -802, 745, 1123, -497, -627, 148, 167, -20, -21, 1, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+\\beta _{10}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8052, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 16.07388592688374, "hecke_ring_index": 2, "level_radical": 2013, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [2013, 1, [1343, 1465, 1222], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 11, 61], "conrey_indexes": [1], "field_disc": 50365449715930651304366472, "field_disc_factorization": [[2, 3], [3, 2], [97912689533, 1], [7144325605597, 1]], "field_poly": [-1, -15, 74, 386, -802, -745, 1123, 497, -627, -148, 167, 20, -21, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.093", "prec": 17}, {"__RealLiteral__": 0, "data": "11.818", "prec": 20}, {"__RealLiteral__": 0, "data": "1.545", "prec": 17}, {"__RealLiteral__": 0, "data": "386.858", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20052.487", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 14, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [11, 1], 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