# Stored data for newform 8001.2.a.q, downloaded from the LMFDB on 05 September 2025.
{"Nk2": 32004, "analytic_conductor": 63.88830665722644, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [7, 1], [127, -1]], "atkin_lehner_string": "-+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [8001, 1, [3557, 1144, 7750], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 15, "field_disc": 1706380913879688545189028100, "field_disc_factorization": [[2, 2], [5, 2], [7, 3], [19, 1], [71, 1], [36878216968398760883, 1]], "field_poly": [-13, -83, 145, 726, -185, -1625, 64, 1588, -7, -763, 0, 186, 0, -22, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-13, -83, 145, 726, -185, -1625, 64, 1588, -7, -763, 0, 186, 0, -22, 0, 1]], [5, [2294, 7628, -396, -19249, -8499, 18028, 11384, -7622, -6009, 1357, 1477, -42, -167, -13, 7, 1]]], "hecke_orbit": 17, "hecke_orbit_code": 72057594071490369, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "8001.2.a.q", "level": 8001, "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": [3, 7, 127], "level_radical": 2667, "minimal_twist": "889.2.a.b", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{8}q^{5}-q^{7}+\\cdots", "related_objects": [], "relative_dim": 15, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], 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