# Stored data for newform 429.2.s.a, downloaded from the LMFDB on 25 April 2024. {"label": "429.2.s.a", "space_label": "429.2.s", "level": 429, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1236984136109, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1089, -3762, -5997, 35682, 72934, -47046, -147909, 43044, 199264, -14340, -156462, 1710, 88152, 372, -32815, -234, 8998, 54, -1682, -6, 229, 0, -19, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "s", "char_is_real": false, "Nk2": 1716, "analytic_conductor": 3.4255822467129287, "level_radical": 429, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [429, 6, [287, 79, 67], [6, 6, 5]], "inner_twist_count": 2, "level_primes": [3, 11, 13], "conrey_indexes": [166, 199], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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268, -300, -4, -50, 0, -120, 474, 0, 64, -40, -24, -56, 148, 48, 90, 8, 0, 0, -66, 180, 0, 54, 54, 66, -12, -64, 124, 72, -62, 16, 0, 126, 186, 0, -6, 40, 306, -176, 80, -216, 78, -92, 98, 0, 54, -498, 0, 120, -44, -6, -16, -232, 24, 252, -130, 74, 0, 0, -18, 0, -38, -14, 60, -28, -20, 8, 138, -46, 28, 0, 48, 42, 0, -26, -38, 330, 48, -2, -20, 0, -42, 328, 0, -168, -96, 0, 58, -12, 0, -288], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 5, 1, 6, 0]], "char_orbit_index": 19, "prim_orbit_index": 5, "minimal_twist": "429.2.s.a", "char_is_minimal": true, "conrey_index": 166, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}