# Stored data for newform 1155.2.a.v, downloaded from the LMFDB on 25 April 2024.
{"label": "1155.2.a.v", "space_label": "1155.2.a", "level": 1155, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208336003, "dim": 4, "is_polredabs": true, "nf_label": "4.4.7232.1", "trace_hash": 238810239597290857, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [2, 8, -5, -2, 1]], [13, [-8, 24, -14, -4, 1]], [17, [4, 4, -11, -6, 1]]], "qexp_display": "q-\\beta _{2}q^{2}-q^{3}+(1-\\beta _{2}-\\beta _{3})q^{4}+q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4620, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 9.222721433457885, "hecke_ring_index": 2, "level_radical": 1155, "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": {"__RealLiteral__": 0, "data": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [1155, 1, [386, 232, 661, 211], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7, 11], "conrey_indexes": [1], "field_disc": 7232, "field_disc_factorization": [[2, 6], [113, 1]], "field_poly": [4, 4, -5, -2, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.036", "prec": 17}, {"__RealLiteral__": 0, "data": "3.956", "prec": 17}, {"__RealLiteral__": 0, "data": "0.292", "prec": 17}, {"__RealLiteral__": 0, "data": "43.876", "prec": 20}, {"__RealLiteral__": 0, "data": "6.838", "prec": 17}, {"__RealLiteral__": 0, "data": "737.570", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [7, -1], [11, -1]], "trace_display": [2, -4, 4, 4], "traces": [0, 4, 2, -4, 6, 4, -2, 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