# Stored data for newform 558.2.q.a, downloaded from the LMFDB on 04 October 2025.
{"Nk2": 2232, "analytic_conductor": 4.455652432787446, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 279, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 17, "char_orbit_label": "q", "char_order": 6, "char_parity": 1, "char_values": [558, 6, [497, 127], [5, 3]], "cm_discs": [], "conrey_index": 185, "dim": 64, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1099545182766, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0], [1, 1, 31, 2, -1, 2, 0], [1, 1, 279, 19, 1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "558.2.q.a", "level": 558, "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": [2, 3, 31], "level_radical": 186, "minimal_twist": "558.2.q.a", "prim_orbit_index": 19, "related_objects": [], "relative_dim": 32, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "558.2.q", "trace_display": [0, 0, 12, -4], "traces": [64, 0, 0, 32, 12, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, -32, 0, 8, -8, 12, 0, 0, 0, 0, 44, 0, 0, -8, 0, 0, 8, 0, -36, 0, 0, -8, 0, 36, -8, 0, 24, 0, 0, 0, -8, 0, -48, 0, -36, 0, -32, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -52, -64, 0, -16, 16, 0, 112, -12, 0, -8, 0, 0, 0, -4, 0, -28, 0, 0, 60, 0, 0, 0, 0, 0, 44, 0, 0, 56, 0, 0, -64, 0, -180, 0, -16, 0, 0, 88, -12, -20, 28, 0, 0, 0, 0, 0, 8, 0, 12, -4, -96, 0, 0, 0, 0, 24, 0, 0, -32, 0, 0, -8, 0, 16, 0, 0, 80, 0, -96, -12, 32, 0, 0, 0, 0, -48, 0, -36, 0, 0, 0, -4, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 12, 8, -8, 0, -16, 0, 0, -104, -16, 24, 100, 0, 0, 0, -20, 0, -12, 0, 0, 4, 16, 0, 0, 0, 0, -4, 0, 0, -132, 0, 0, -36, 36, 0, 0, -48, -84, 0, 40, 144, -116, 36, 0, 0, 0, 0, 0, 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-180, 0, 0, 0, 0, 0, 0, 92, 0, 0, 160, -76, 0, -336, -96], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}