# Stored data for newform 378.2.z.a, downloaded from the LMFDB on 24 March 2023.
{"level_primes": [2, 3, 7], "sato_tate_group": "1.2.3.c18", "rm_discs": [], "conrey_indexes": [41, 83, 167, 209, 293, 335], "cm_discs": [], "level_radical": 42, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 31, "is_cm": false, "hecke_orbit": 1, "analytic_conductor": 3.0183451964043986, "inner_twist_count": 4, "is_rm": false, "char_order": 18, "level_is_square": false, "weight_parity": 1, "label": "378.2.z.a", "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "378.2.z.a", "dim": 144, "traces": [144, 0, 0, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, 6, 12, 0, 0, 0, 0, 0, 24, 0, -60, 0, 0, 0, 0, 0, 12, -72, 0, 0, 0, 0, 54, -12, 0, 0, 48, 0, 0, 24, 0, 0, 0, 0, 0, 0, 18, -60, -36, 0, 0, 0, 0, 6, -60, 0, 0, -36, 0, 0, -78, 72, -120, 0, 0, 0, 0, 36, -72, -24, 0, -36, 0, 0, 66, -60, -72, 0, 0, 0, 0, 12, -72, -48, 0, 0, 0, 0, -18, 12, 24, 0, -120, 0, 0, 36, 144, 72, 0, -48, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 108, 24, 0, -36, 0, 0, -114, 0, -36, 0, -228, 0, 0, -30, 0, 0, 0, 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-228, 48, 360, 0, -360, 0, 0, -84, 0, 192, 0, -324, 0, 0, -378, 0, 576, 0, 228, 0, 0, 12, -228, 144, 0, 24, 0, 0, -6, -36, 768, 0, -684, 0, 0, 0, -492, 156, 0, 396, 0, 0, 0, 96, -288, 0, 636, 0, 0, 30, 108, 756, 0, 0, 0, 0, -216, 12, 1044, 0, 900, 0, 0, -42, -36, -36, 0, 468, 0, 0, 300, 0, 960, 0, -468, 0, 0, -54, -144, 648, 0, 372, 0, 0, 390, 24, -504, 0, 1152, 0, 0, 42, 0, 216, 0, -216, 0, 0, 36, 384, 216, 0, 1056, 0, 0, -180, -36, 0, 0, 144, 0, 0, 426, -36, 360, 0, 36, 0, 0, -36, 624, 168, 0, 0, 0, 0], "has_non_self_twist": 1, "char_values": [378, 18, [29, 325], [17, 9]], "Nk2": 1512, "analytic_rank": 0, "char_orbit_label": "z", "weight": 2, "trace_display": [0, 0, 0, 0], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "level_is_prime": false, "char_is_minimal": true, "self_twist_discs": [], "char_is_real": false, "level_is_prime_power": false, "relative_dim": 24, "hecke_cutters": [], "space_label": "378.2.z", "level": 378, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 27, 6, -1, 18, 0], [1, 1, 189, 31, 1, 18, 0]], "char_degree": 6, "char_conductor": 189, "char_orbit_index": 26, "hecke_orbit_code": 1718020473210, "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}