# Stored data for newform 348.2.t.a, downloaded from the LMFDB on 07 June 2024. {"Nk2": 1392, "analytic_conductor": 2.7787939903405574, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 348, "char_degree": 6, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 20, "char_orbit_label": "t", "char_order": 14, "char_parity": 1, "char_values": [348, 14, [175, 233, 205], [7, 7, 3]], "cm_discs": [], "conrey_index": 35, "dim": 336, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1305703612764, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0], [1, 1, 29, 5, 1, 14, 0], [1, 1, 87, 8, -1, 14, 0], [1, 1, 116, 8, -1, 14, 0], [1, 1, 348, 20, 1, 14, 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": "348.2.t.a", "level": 348, "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, 3, 29], "level_radical": 174, "minimal_twist": "348.2.t.a", "prim_orbit_index": 20, "related_objects": [], "relative_dim": 56, "rm_discs": [], "sato_tate_group": "1.2.3.c14", "self_twist_discs": [], "self_twist_type": 0, "space_label": "348.2.t", "trace_display": [0, 0, 0, 0], "traces": [336, 0, 0, -10, 0, -3, 0, 0, -10, -14, 0, 0, -20, 0, 0, -26, 0, -56, 0, 0, -14, -40, 0, 3, 40, 0, 0, -36, 0, -6, 0, 0, -22, -8, 0, 9, -28, 0, 0, -14, 0, -74, 0, 0, -22, 0, 0, 14, 4, 0, 0, -4, 0, -31, 0, 0, -12, -106, 0, -42, -28, 0, 0, -94, 0, -7, 0, 0, -14, 0, 0, 70, -28, 0, 0, -84, 0, -9, 0, 0, -50, -46, 0, -35, -168, 0, 0, -60, 0, 119, 0, 0, 122, 36, 0, 2, -28, 0, 0, -134, 0, 56, 0, 0, -154, 70, 0, 112, -20, 0, 0, -64, 0, 259, 0, 0, -12, -98, 0, -30, -88, 0, 0, -14, 0, 112, 0, 0, -98, 98, 0, 153, 0, 0, 0, -98, 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-92, 1004, 0, 0, -168, 0, 0, 0, 0, -224, 1184, 0, 931, 252, 0, 0, 808, 0, 537, 0, 0, -294, 596, 0, 46, -112, 0, 0, 540, 0, 103, 0, 0, 378, 1638, 0, 630, 952, 0, 0, 0, 0, -210, 0, 0, 352, 108, 0, -133, 924, 0, 0, 836, 0, 791, 0, 0, -306, -336, 0, -448, -252, 0, 0, 0, 0, -1008, 0, 0, 0, 518, 0, 313, 756, 0, 0, 304, 0, -63, 0, 0, -38, 36, 0, -1015, 412, 0, 0, -140, 0, 160, 0, 0, 0, 926, 0, 308, 324, 0, 0, -112, 0, -679, 0, 0, -106, 0, 0, -1050, -184, 0, 0, 770, 0, 135, 0, 0, 784, -504, 0, -245, 252, 0, 0, -2030], "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}