# Stored data for newform 224.6.p.a, downloaded from the LMFDB on 15 March 2025.
{"Nk2": 8064, "analytic_conductor": 35.92597563810766, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 28, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 16, "char_orbit_label": "p", "char_order": 6, "char_parity": 1, "char_values": [224, 6, [127, 197, 129], [3, 6, 1]], "cm_discs": [], "conrey_index": 31, "dim": 80, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1030892814560, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 28, 6, 1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "224.6.p.a", "level": 224, "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, 7], "level_radical": 14, "minimal_twist": "224.6.p.a", "prim_orbit_index": 6, "related_objects": [], "relative_dim": 40, "rm_discs": [], "sato_tate_group": "5.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "224.6.p", "trace_display": [0, 0, 0, 0], "traces": [80, 0, 0, 0, 0, 0, 0, 0, -3240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6856, 0, 0, 0, 27728, 0, 0, 0, -15920, 0, 0, 0, -28296, 0, 0, 0, -2152, 0, 0, 0, 0, 0, 0, 0, 35400, 0, 0, 0, 29280, 0, 0, 0, -17512, 0, 0, 0, -108368, 0, 0, 0, 37704, 0, 0, 0, 18216, 0, 0, 0, 0, 0, 0, 0, 157704, 0, 0, 0, 28224, 0, 0, 0, -273136, 0, 0, 0, 230704, 0, 0, 0, 28440, 0, 0, 0, 39400, 0, 0, 0, 0, 0, 0, 0, -319008, 0, 0, 0, 141960, 0, 0, 0, 165744, 0, 0, 0, -89328, 0, 0, 0, 225504, 0, 0, 0, 321864, 0, 0, 0, 0, 0, 0, 0, -958752, 0, 0, 0, 1127160, 0, 0, 0, 123552, 0, 0, 0, -2347792, 0, 0, 0, -754056, 0, 0, 0, 637856, 0, 0, 0, 0, 0, 0, 0, 2252136, 0, 0, 0, 186912, 0, 0, 0, 231712, 0, 0, 0, -2856272, 0, 0, 0, -892200, 0, 0, 0, 1219088, 0, 0, 0, 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"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}