# Stored data for newform 272.4.a.h, downloaded from the LMFDB on 20 April 2024.
{"label": "272.4.a.h", "space_label": "272.4.a", "level": 272, "weight": 4, "hecke_orbit": 8, "hecke_orbit_code": 31525197458702608, "dim": 3, "is_polredabs": true, "nf_label": "3.3.2636.1", "trace_hash": 1323474722901287109, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-204, -62, 4, 1]], [5, [32, -44, 8, 1]]], "qexp_display": "q+(-1+\\beta _{1}-\\beta _{2})q^{3}+(-3+\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4352, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 16.048519521561445, "hecke_ring_index": 2, "level_radical": 34, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [272, 1, [239, 69, 241], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 17], "conrey_indexes": [1], "field_disc": 2636, "field_disc_factorization": [[2, 2], [659, 1]], "field_poly": [-4, -14, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.855", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.315", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "231.400", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [17, 1]], "trace_display": [0, -4, -8, -22], "traces": [0, 3, 0, -4, 0, -8, 0, -22, 0, 59, 0, 28, 0, 30, 0, -108, 0, -51, 0, -80, 0, -192, 0, -142, 0, -223, 0, 20, 0, -456, 0, -230, 0, -332, 0, 332, 0, 356, 0, 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