# Stored data for newform 5472.2.g.b, downloaded from the LMFDB on 08 September 2025.
{"Nk2": 21888, "analytic_conductor": 43.694139986044625, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 8, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 7, "char_orbit_label": "g", "char_order": 2, "char_parity": 1, "char_values": [5472, 2, [4447, 2053, 1217, 3745], [2, 1, 2, 2]], "cm_discs": [], "conrey_index": 2737, "dim": 16, "field_disc": 417570629227715089137664, "field_disc_factorization": [[2, 30], [1319, 2], [14951, 2]], "field_poly": [256, -256, 192, -128, 64, 32, -40, 48, -40, 24, -10, 4, 4, -4, 3, -2, 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": [[5, [82944, 0, 358912, 0, 425168, 0, 233080, 0, 68929, 0, 11532, 0, 1078, 0, 52, 0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504011977790816, "hecke_ring_generator_nbound": 29, "hecke_ring_index": 8192, "hecke_ring_index_factorization": [[2, 13]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 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": false, "label": "5472.2.g.b", "level": 5472, "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, 3, 19], "level_radical": 114, "minimal_twist": "152.2.c.b", "prim_orbit_index": 2, "qexp_display": "q+(\\beta _{4}+\\beta _{5})q^{5}+(1+\\beta _{12})q^{7}+\\beta _{8}q^{11}+\\cdots", "related_objects": [], "relative_dim": 16, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "5472.2.g", "trace_display": [0, 0, 0, 8], "trace_hash": 880204281139760815, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 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