# Stored data for newform 7225.2.a.o, downloaded from the LMFDB on 10 February 2025.
{"Nk2": 28900, "analytic_conductor": 57.69191546037508, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [17, 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": [7225, 1, [2602, 2026], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 8, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-1, -2, 1]], [3, [2, 4, 1]], [7, [2, 4, 1]], [11, [14, -8, 1]]], "hecke_orbit": 15, "hecke_orbit_code": 63050394816748601, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "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": "7225.2.a.o", "level": 7225, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [5, 17], "level_radical": 85, "minimal_twist": "85.2.a.b", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q+(1+\\beta )q^{2}+(-2+\\beta )q^{3}+(1+2\\beta )q^{4}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7225.2.a", "trace_display": [2, -4, 0, -4], "trace_hash": 1666617319224051110, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.047", "prec": 17}, 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