# Stored data for newform 525.6.a.h, downloaded from the LMFDB on 03 September 2025.
{"Nk2": 18900, "analytic_conductor": 84.20150540181483, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, -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": [525, 1, [176, 127, 451], [1, 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, [-28, -4, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197492257293, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": "525.6.a.h", "level": 525, "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": [3, 5, 7], "level_radical": 105, "minimal_twist": "105.6.a.c", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q+(2+\\beta )q^{2}+9q^{3}+(4+4\\beta )q^{4}+(18+\\cdots)q^{6}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "525.6.a", "trace_display": [4, 18, 0, 98], "trace_hash": 233025592324477626, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.922", "prec": 17}, {"__RealLiteral__": 0, "data": "0.118", "prec": 17}, {"__RealLiteral__": 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