# Stored data for newform 345.2.t.a, downloaded from the LMFDB on 08 September 2025.
{"Nk2": 1380, "analytic_conductor": 2.7548388697341735, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 115, "char_degree": 10, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 20, "char_orbit_label": "t", "char_order": 22, "char_parity": 1, "char_values": [345, 22, [116, 277, 166], [22, 11, 4]], "cm_discs": [], "conrey_index": 4, "dim": 240, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1305703612761, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 23, 3, 1, 11, 0], [1, 1, 115, 10, 1, 22, 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": "345.2.t.a", "level": 345, "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": [3, 5, 23], "level_radical": 345, "minimal_twist": "345.2.t.a", "prim_orbit_index": 10, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "1.2.3.c22", "self_twist_discs": [], "self_twist_type": 0, "space_label": "345.2.t", "trace_display": [0, 0, -4, 0], "traces": [240, 0, 0, 28, -4, -4, 0, 0, 24, 0, 0, 0, 0, 8, 4, -36, 0, 0, -8, -92, 8, 0, 0, 12, -44, 32, 0, 0, -12, 8, -20, 0, 0, -54, 36, -28, 0, 0, -36, -24, -28, 0, 0, -224, 4, -8, 0, 0, 52, -48, 0, 0, 0, -18, -22, 0, 0, 0, -56, -36, 44, 0, 0, 12, -16, 8, 0, 0, 8, -152, 4, 0, 0, 88, -8, -100, 0, 0, -84, 122, -24, 0, 0, -56, 186, -392, 0, 0, 48, 0, -304, 0, 0, 80, 190, 16, 0, 0, 44, 304, -320, 0, 0, 360, 74, -312, 0, 0, 76, 178, 60, 0, 0, 208, 22, 144, 0, 0, 260, 200, -60, 0, 0, 40, 38, 36, 0, 0, 80, -16, -12, 0, 0, 48, -4, 148, 0, 0, 16, -120, 8, 0, 0, 36, -92, 64, 0, 0, -164, 4, 0, 0, 0, -144, -8, -64, 0, 0, -92, -128, 136, 0, 0, -436, -76, 162, 0, 0, -196, -340, 52, 0, 0, -236, -268, 136, 0, 0, -544, -106, -24, 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332, 0, 0, -304, 164, 832, 0, 0, 240, -200, 538, 0, 0, 272, 448, 44, 0, 0, -336, 682, 2104, 0, 0, 1036, -304, 344, 0, 0, 932, 18, 74, 0, 0, -76, 510, 1024, 0, 0, 816, -198, -442, 0, 0, 1256, -494, -64, 0, 0, -532, 580, 856, 0, 0, 632, -620, 324, 0, 0, 718, 328, 80, 0, 0, 80, 30, 656, 0, 0, 56, -8, 896, 0, 0, 584, -218, -224, 0, 0, -40, 414, 648, 0, 0, 1176, -360, -92, 0, 0, -208, 60, -904, 0, 0, 104, 718, -224, 0, 0, 72, 280, -100, 0, 0, -56, 10, -208, 0, 0, 56, 116, -1172, 0, 0, -304, 284, 352, 0, 0, -576, 220, -1240, 0, 0, -16, -954], "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}