# Stored data for newform 177.3.h.a, downloaded from the LMFDB on 02 March 2021. {"level_primes": [3, 59], "sato_tate_group": "2.2.3.c58", "rm_discs": [], "conrey_indexes": [5, 17, 20, 26, 29, 35, 41, 53, 62, 68, 71, 74, 80, 86, 95, 104, 107, 110, 116, 122, 125, 134, 137, 140, 143, 146, 164, 167], "cm_discs": [], "level_radical": 177, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 8, "is_cm": false, "hecke_orbit": 1, "analytic_conductor": 4.8229006791772555, "inner_twist_count": 4, "is_rm": false, "char_order": 58, "level_is_square": false, "weight_parity": -1, "label": "177.3.h.a", "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "177.3.h.a", "dim": 1064, "traces": [1064, 0, -29, 18, 0, -21, -46, 0, -49, -94, 0, -29, -54, 0, -12, -158, 0, -27, -30, 0, -18, -142, 0, -23, 108, 0, -32, -70, 0, -131, -18, 0, 17, 90, 0, 67, -170, 0, -91, -2, 0, -43, -222, 0, -461, -54, 0, -1645, -300, 0, -893, -66, 0, -859, 170, 0, -27, -36, 0, 510, -70, 0, 610, -106, 0, 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36388, -22494, 0, 27117, -41544, 0, 53759, -8454, 0, 54046, -9002, 0, 53617, -39750, 0, 34321, -15628, 0, 55027, -878, 0, 58307, 5302, 0, 32797, -7438, 0, 57502, -5454, 0, 56265, 42206], "has_non_self_twist": 1, "char_values": [177, 58, [119, 61], [29, 6]], "Nk2": 1593, "analytic_rank": 0, "char_orbit_label": "h", "weight": 3, "trace_display": [0, -29, 0, -46], "analytic_rank_proved": true, "char_parity": -1, "level_is_squarefree": true, "level_is_prime": false, "char_is_minimal": true, "self_twist_discs": [], "char_is_real": false, "level_is_prime_power": false, "relative_dim": 38, "hecke_cutters": [], "space_label": "177.3.h", "level": 177, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 59, 3, 1, 29, 0], [1, 1, 177, 8, -1, 58, 0]], "char_degree": 28, "char_conductor": 177, "char_orbit_index": 8, "hecke_orbit_code": 481086668977, "id": null, "is_polredabs": null, "trace_hash": null, "projective_field": null, "hecke_ring_index_proved": null, "embedded_related_objects": null, "field_disc_factorization": null, "field_poly_is_real_cyclotomic": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "trace_zratio": null, "hecke_ring_index_factorization": null, "artin_image": null, "nf_label": null, "field_poly": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "field_poly_root_of_unity": null, "hecke_ring_index": null, "artin_field": null, "qexp_display": null, "field_disc": null, "hecke_ring_generator_nbound": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "trace_moments": null, "artin_degree": null}