# Stored data for newform 363.2.e.a, downloaded from the LMFDB on 14 October 2026.
{"Nk2": 1452, "analytic_conductor": 2.898569593372478, "analytic_rank": 1, "analytic_rank_proved": true, "char_conductor": 11, "char_degree": 4, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 5, "char_parity": 1, "char_values": [363, 5, [122, 244], [5, 4]], "cm_discs": [], "conrey_index": 124, "dim": 4, "field_disc": 125, "field_disc_factorization": [[5, 3]], "field_poly": [1, -1, 1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 10, "has_non_self_twist": 1, "hecke_cutters": [[2, [25, 25, 15, 5, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 274911461739, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0], [1, 2, 11, 4, -1, 10, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "363.2.e.a", "level": 363, "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": "363.2.a.g", "nf_label": "4.0.125.1", "prim_orbit_index": 3, "qexp_display": "q+(-1-\\zeta_{10}+\\zeta_{10}^{2}+\\zeta_{10}^{3})q^{2}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c5", "self_twist_discs": [], "self_twist_type": 0, "space_label": "363.2.e", "trace_display": [-5, -1, -2, -10], "trace_hash": 2293212515411865674, "trace_moments": [0, {"__RealLiteral__": 0, "data": "3.914", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "67.946", "prec": 17}, 0, {"__RealLiteral__": 0, "data": "2069.964", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": 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