# Stored data for newform 442.2.m.b, downloaded from the LMFDB on 27 September 2024.
{"Nk2": 1768, "analytic_conductor": 3.529387769340593, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 221, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 13, "char_orbit_label": "m", "char_order": 6, "char_parity": 1, "char_values": [442, 6, [171, 105], [2, 3]], "cm_discs": [], "conrey_index": 237, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[3, [4096, 0, -36544, 0, 253849, 0, -546808, 0, 825240, 0, -623564, 0, 331656, 0, -102987, 0, 23068, 0, -3424, 0, 370, 0, -24, 0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504424294646202, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0], [1, 1, 17, 2, 1, 2, 0], [1, 1, 221, 12, 1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "442.2.m.b", "level": 442, "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": true, "level_primes": [2, 13, 17], "level_radical": 442, "minimal_twist": "442.2.m.b", "prim_orbit_index": 12, "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "442.2.m", "trace_display": [12, 0, 0, 0], "traces": [24, 12, 0, -12, 0, 0, 0, -24, 12, 0, 0, 0, 12, 0, 0, -12, 5, 24, 8, 0, -4, 0, 0, 0, -48, -6, 0, 0, 0, 0, 0, 12, -6, 10, -10, 12, 0, 16, 0, 0, 0, -2, -4, 0, 0, 0, 12, 0, 20, -24, 16, -18, -44, 0, -12, 0, 0, 0, 14, 0, 0, 0, 0, 24, 0, -12, 6, 5, 10, -20, 0, -12, 0, 0, 0, 8, -28, 0, 0, 0, -4, 0, -4, 2, 13, -8, -12, 0, 20, 0, 0, 0, 0, 6, 0, 0, 0, -20, 0, 24, -14, 8, -16, -12, 0, -22, 0, 0, 0, 12, 48, 0, 0, 0, -50, 0, 126, 28, -20, 0, 14, 0, -88, 0, 0, 0, 12, 12, 0, 0, 0, -6, 0, -6, 80, -5, -38, 20, 0, -10, 0, 0, 0, -24, -24, 0, 0, 0, 18, 0, -124, -8, -71, -14, 192, 0, 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428, 0, -226, -122, -96, -126, 196, 0, -122, 0, 0, 0, 182, -28, 0, 0, 0, 80, 0, -96, 312, 20, 352, -148, 0, -12, 0, 0, 0, 0, -240, 0, 0, 0, 8, 0, 56, -14, 136, -4, -10, 0, -146, 0, 0, 0, -8, 88, 0, 0, 0, 40, 0, 88, -50, -101, 220, -20, 0, 14, 0, 0, 0, 96, -104, 0, 0, 0, 54, 0], "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}