# Stored data for newform 608.4.a.d, downloaded from the LMFDB on 19 April 2024.
{"label": "608.4.a.d", "space_label": "608.4.a", "level": 608, "weight": 4, "hecke_orbit": 4, "hecke_orbit_code": 13510798949220960, "dim": 2, "is_polredabs": true, "nf_label": "2.2.93.1", "trace_hash": 1830979155562242561, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 1]], [5, [-368, 4, 1]]], "qexp_display": "q+q^{3}+(-2-2\\beta )q^{5}+(-22-\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9728, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 35.87316128349029, "hecke_ring_index": 2, "level_radical": 38, "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": [608, 1, [191, 229, 97], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 19], "conrey_indexes": [1], "field_disc": 93, "field_disc_factorization": [[3, 1], [31, 1]], "field_poly": [-23, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.936", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.249", "prec": 17}, {"__RealLiteral__": 0, "data": "1.072", "prec": 17}, {"__RealLiteral__": 0, "data": "62.131", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [19, 1]], "trace_display": [0, 2, -4, -44], "traces": [0, 2, 0, 2, 0, -4, 0, -44, 0, -52, 0, -40, 0, -20, 0, -4, 0, 46, 0, -38, 0, -44, 0, 220, 0, 502, 0, -106, 0, -84, 0, 84, 0, -40, 0, 460, 0, 304, 0, -20, 0, 168, 0, 372, 0, 104, 0, -584, 0, 468, 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