# Stored data for newform 325.10.a.a, downloaded from the LMFDB on 04 June 2024.
{"Nk2": 32500, "analytic_conductor": 167.38664675325876, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [13, -1]], "atkin_lehner_string": "+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [325, 1, [27, 301], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 4436127580993, "field_disc_factorization": [[659, 1], [6731604827, 1]], "field_poly": [342272, 1544, -1602, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [232000, 24936, -1194, -33, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 167772485, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "325.10.a.a", "level": 325, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [5, 13], "level_radical": 65, "minimal_twist": "13.10.a.a", "prim_orbit_index": 1, "qexp_display": "q+(8+\\beta _{1})q^{2}+(41-2\\beta _{1}+\\beta _{3})q^{3}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "325.10.a", "trace_display": [33, 163, 0, 11241], "trace_hash": 1615511160855565707, "trace_moments": [{"__RealLiteral__": 0, "data": "0.072", "prec": 17}, {"__RealLiteral__": 0, "data": "3.818", "prec": 17}, {"__RealLiteral__": 0, "data": 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