# Stored data for newform 1001.2.i.a, downloaded from the LMFDB on 12 June 2024. {"Nk2": 4004, "analytic_conductor": 7.993025242330167, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 9, "char_orbit_label": "i", "char_order": 3, "char_parity": 1, "char_values": [1001, 3, [430, 365, 925], [2, 3, 3]], "cm_discs": [], "conrey_index": 144, "dim": 8, "field_disc": 447703281, "field_disc_factorization": [[3, 4], [2351, 2]], "field_poly": [16, -8, -8, 4, 3, 2, -2, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[2, [1, -7, 53, 24, 29, 6, 8, 2, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 549789369321, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 3, "hecke_ring_index_factorization": [[3, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 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