# Stored data for newform 225.12.a.h, downloaded from the LMFDB on 24 April 2024.
{"label": "225.12.a.h", "space_label": "225.12.a", "level": 225, "weight": 12, "hecke_orbit": 8, "hecke_orbit_code": 31525197592920289, "dim": 2, "is_polredabs": true, "nf_label": "2.2.604.1", "trace_hash": 623268489744814279, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-5336, 20, 1]], [7, [669716964, 57900, 1]]], "qexp_display": "q+(-10+\\beta )q^{2}+(3488-20\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32400, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 172.8772156259075, "hecke_ring_index": 6, "level_radical": 15, "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": [225, 1, [101, 127], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 604, "field_disc_factorization": [[2, 2], [151, 1]], "field_poly": [-151, 0, 1], "hecke_ring_index_factorization": [[2, 1], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.261", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61.449", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "11.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1]], "trace_display": [-20, 0, 0, -57900], "traces": [0, 2, -20, 0, 6976, 0, 0, -57900, -246240, 0, 0, 618176, 0, -3414260, -1334472, 0, 6005632, 1317940, 0, 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