# Stored data for newform 220.3.i.a, downloaded from the LMFDB on 13 January 2025.
{"Nk2": 1980, "analytic_conductor": 5.994565815926532, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 220, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 9, "char_orbit_label": "i", "char_order": 4, "char_parity": -1, "char_values": [220, 4, [111, 177, 101], [2, 3, 2]], "cm_discs": [], "conrey_index": 43, "dim": 136, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 549806145756, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 11, 2, -1, 2, 0], [1, 1, 20, 5, 1, 4, 0], [1, 1, 44, 3, 1, 2, 0], [1, 1, 55, 5, 1, 4, 0], [1, 1, 220, 9, -1, 4, 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": "220.3.i.a", "level": 220, "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, 5, 11], "level_radical": 110, "minimal_twist": "220.3.i.a", "prim_orbit_index": 9, "related_objects": [], "relative_dim": 68, "rm_discs": [], "sato_tate_group": "2.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "220.3.i", "trace_display": [0, 0, -8, 0], "traces": [136, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 16, 0, 0, 0, 80, 0, -96, 0, 0, -8, -160, 0, 0, 0, 0, 0, 0, 80, 0, 0, -104, -8, -16, 0, 0, 0, -168, 0, 0, 192, 0, 0, 32, 0, 0, 0, 0, 136, 0, 0, 264, 0, -248, 0, -128, 0, 0, 0, 0, 0, 328, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, -152, -24, 0, -624, -664, -200, 0, 0, 0, 752, 0, -296, 0, 0, 0, -776, 592, 0, 0, 0, -168, 0, 0, 184, 0, 336, 0, 0, 0, 0, 0, -368, 0, -704, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -120, 392, 0, 0, -392, 1760, 0, 0, 0, -296, 0, 696, -64, 0, 0, 1256, -8, 0, 0, 0, -208, 0, 0, 0, 0, -320, 0, 16, 0, 0, 0, 912, 0, 0, 0, 0, -1128, -824, 0, 0, 0, 0, 0, 0, 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-10752, 0, 0, 0, -10920, 0, 0, 0, -3232, 0, 8112, 0, 0, -6400, -7360, 0, 0, 0, 0, 0, 0, 2760, 0, 0, -16112, -7216, -22576, 0, 0, 0, -1160, 0, 0, -3960, 0, 0, -9304, 0, 0, 0, 0, -13472, 0, 0, 24704, 0, -27072, 0, -15584, 0, 0, 0, 0, 0, -10608, 0, 0, 0, -13328, 0, 0, 0, 0, 0, 0, -7888, 22408, 0, -30840, -2424, -14584, 0, 0, 0, 6224, 0, -10720, 0, 0, 0, -4408, 14400, 0, 0, 0, 3000, 0, 0, 24240, 0, -18176, 0, 0, 0, 0, 0, 4408, 0, -15520, 0, 0, 624, 0, 0, 0, 0, 0, 0, 0], "weight": 3, "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}