# Stored data for newform 98.8.a.f, downloaded from the LMFDB on 08 August 2026.
{"Nk2": 6272, "analytic_conductor": 30.613732497443934, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [7, 1]], "atkin_lehner_string": "++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [98, 1, [3], [1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 949, "field_disc_factorization": [[13, 1], [73, 1]], "field_poly": [-237, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-165, -56, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998271070306, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "98.8.a.f", "level": 98, "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, 7], "level_radical": 14, "minimal_twist": "14.8.c.b", "nf_label": "2.2.949.1", "prim_orbit_index": 1, "qexp_display": "q-8q^{2}+(28-\\beta )q^{3}+2^{6}q^{4}+(-7+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "98.8.a", "trace_display": [-16, 56, -14, 0], "trace_hash": 2149633842054103667, "trace_moments": [{"__RealLiteral__": 0, "data": "0.056", "prec": 7}, {"__RealLiteral__": 0, "data": "1.955", "prec": 14}, {"__RealLiteral__": 0, "data": "0.274", "prec": 10}, {"__RealLiteral__": 0, 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