# Stored data for newform 891.2.k.a, downloaded from the LMFDB on 16 June 2025. {"Nk2": 3564, "analytic_conductor": 7.114670820096082, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 33, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 10, "char_parity": 1, "char_values": [891, 10, [650, 244], [5, 7]], "cm_discs": [], "conrey_index": 161, "dim": 80, "has_non_self_twist": 1, "hecke_cutters": [[2, [625, 0, 386250, 0, 93759625, 0, 2574454375, 0, 30804674200, 0, 82489208025, 0, 2408223633210, 0, 4381465144995, 0, 36582372515271, 0, 120588781681571, 0, 325560230049057, 0, 829693385857223, 0, 1844384144450216, 0, 2953663785614741, 0, 3645147008059986, 0, 3746489400921184, 0, 3346078125891618, 0, 2588949338900791, 0, 1742142899260423, 0, 1035168816904378, 0, 551089614447078, 0, 263080736777409, 0, 112807894744668, 0, 43757649467760, 0, 15479519544395, 0, 4993670010231, 0, 1471371210215, 0, 397516559530, 0, 98723990582, 0, 22426127522, 0, 4667432719, 0, 889981796, 0, 154751537, 0, 24304588, 0, 3453623, 0, 439655, 0, 49104, 0, 4688, 0, 385, 0, 25, 0, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 687228322683, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 11, 4, -1, 10, 0], [1, 1, 33, 6, 1, 10, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "891.2.k.a", "level": 891, "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, 11], "level_radical": 33, "minimal_twist": "99.2.p.a", "prim_orbit_index": 6, "related_objects": [], "relative_dim": 20, "rm_discs": [], "sato_tate_group": "1.2.3.c10", "self_twist_discs": [], "self_twist_type": 0, "space_label": "891.2.k", "trace_display": [0, 0, 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"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}