# Stored data for newform 845.2.f.f, downloaded from the LMFDB on 02 January 2025.
{"Nk2": 3380, "analytic_conductor": 6.747358970798192, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 65, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 4, "char_parity": 1, "char_values": [845, 4, [677, 171], [3, 3]], "cm_discs": [], "conrey_index": 408, "dim": 72, "has_non_self_twist": 1, "hecke_cutters": [[2, [16129, 0, 1181178, 0, 12658930, 0, 64314570, 0, 196287153, 0, 398225084, 0, 566957432, 0, 585090350, 0, 446754748, 0, 255738710, 0, 110588404, 0, 36219430, 0, 8960112, 0, 1658948, 0, 225761, 0, 21874, 0, 1426, 0, 56, 0, 1]], [7, [8404201, 0, -415384012, 0, 7120096202, 0, -57647981768, 0, 249278719995, 0, -609116162720, 0, 871377783951, 0, -756055913496, 0, 418447707759, 0, -154446877180, 0, 39309689864, 0, -7059482776, 0, 906170688, 0, -83356564, 0, 5443901, 0, -246064, 0, 7307, 0, -128, 0, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22518341767791437, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0], [1, 1, 65, 6, 1, 4, 0], [1, 1, 65, 11, 1, 4, 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": "845.2.f.f", "level": 845, "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": [5, 13], "level_radical": 65, "minimal_twist": "845.2.f.f", "prim_orbit_index": 6, "related_objects": [], "relative_dim": 36, "rm_discs": [], "sato_tate_group": "1.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "845.2.f", "trace_display": [0, -4, 0, 0], "traces": [72, 0, -4, -80, 0, 0, 0, 0, 0, -12, 0, 64, 0, 0, 0, 80, 8, 0, 0, 0, 0, 24, 36, 0, -48, 0, -64, 0, 0, -4, 0, 0, 0, 0, 80, 0, 0, 28, 0, -24, 0, -56, 76, 0, 0, 0, 0, -76, 8, 0, 0, 0, -16, 0, 12, 0, 0, 0, 0, 0, 8, 148, 0, -120, 0, 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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}