# Stored data for newform 580.2.z.b, downloaded from the LMFDB on 29 April 2026.
{"Nk2": 2320, "analytic_conductor": 4.631323317234262, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 29, "char_degree": 6, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 26, "char_orbit_label": "z", "char_order": 14, "char_parity": 1, "char_values": [580, 14, [291, 117, 321], [14, 14, 11]], "cm_discs": [], "conrey_index": 121, "dim": 36, "has_non_self_twist": 1, "hecke_cutters": [[3, [117649, 0, -3411821, -13294337, 12302724, 259567308, 1035155135, 2262877673, 2984426193, 2282798770, 886515742, 320124987, 552280127, 536172798, 161473375, -59867416, 41649363, 79349571, -28125132, -33154478, 10141474, 4601268, -3401300, -268954, 1053088, -16506, -108216, 21672, 10117, -2268, -1091, 189, 144, -21, -12, 0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4505317647843908, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 5, 1, 14, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "580.2.z.b", "level": 580, "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, 5, 29], "level_radical": 290, "minimal_twist": "580.2.z.b", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c14", "self_twist_discs": [], "self_twist_type": 0, "space_label": "580.2.z", "trace_display": [0, 0, 6, -4], "traces": [36, 0, 0, 0, 6, 0, -4, 0, 6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 7, 0, -10, 0, -6, 0, 63, 0, 5, 0, 7, 0, 6, 0, 4, 0, 0, 0, 49, 0, 0, 0, -35, 0, -6, 0, -28, 0, -46, 0, -2, 0, 37, 0, 14, 0, -120, 0, -22, 0, 0, 0, 55, 0, -11, 0, -23, 0, -28, 0, -43, 0, 14, 0, 0, 0, 49, 0, 14, 0, -63, 0, 47, 0, 0, 0, 29, 0, 98, 0, -19, 0, 10, 0, 0, 0, 63, 0, 0, 0, -119, 0, 11, 0, 7, 0, -37, 0, 30, 0, 34, 0, -21, 0, -32, 0, 102, 0, 28, 0, -12, 0, 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0, 578, 0, 70, 0, 203, 0, 308, 0, 0, 0, -28, 0, -95, 0, 399, 0, -19, 0, -119, 0, 73, 0, 0, 0, 110, 0, 160, 0, 420, 0, 285, 0, -192, 0, 196, 0, 0, 0, -85, 0, 0, 0, 0, 0, -49, 0, 252, 0, -127, 0, -25, 0, -7, 0, 67, 0, 154, 0, -57, 0, -35, 0, -119, 0, 392, 0, 0, 0, -301, 0, -77, 0, -28, 0, -7, 0, 156, 0, 292, 0, 203, 0, -194, 0, 24, 0, 28, 0, -300, 0, -182, 0, 57, 0, -84, 0, 62, 0], "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}