# Stored data for newform 1445.2.a.p, downloaded from the LMFDB on 12 July 2025.
{"Nk2": 5780, "analytic_conductor": 11.538383092075016, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, -1], [17, -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": [1445, 1, [1157, 581], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 12, "field_disc": 1784918073833160704, "field_disc_factorization": [[2, 35], [127, 1], [449, 1], [911, 1]], "field_poly": [17, 92, 46, -316, -137, 424, 44, -232, 21, 52, -10, -4, 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": [[2, [17, -92, 46, 316, -137, -424, 44, 232, 21, -52, -10, 4, 1]], [3, [2, -56, 356, -16, -854, -56, 680, 176, -186, -80, 8, 8, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994444113317, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1445.2.a.p", "level": 1445, "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": [5, 17], "level_radical": 85, "minimal_twist": "85.2.l.a", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(-1-\\beta _{5})q^{3}+(1+\\beta _{6}+\\beta _{7}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1445.2.a", "trace_display": [-4, -8, 12, -16], "trace_hash": 1678893884073443842, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "268.644", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11115.075", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.025", "prec": 17}, "traces": [0, 12, -4, -8, 12, 12, -8, -16, -12, 12, -4, -16, -16, -8, 16, -8, 12, 0, 4, 0, 12, 16, -16, -16, 0, 12, 16, -32, -40, -16, -8, -24, -28, 0, 0, -16, 12, -24, -24, -8, -12, -8, 0, -16, -8, 12, -40, -32, 24, 20, -4, 0, -24, 0, -8, -16, 24, -32, 16, 8, -16, -24, -8, -48, 36, -8, 40, -8, 0, 48, 16, 16, 12, -16, 0, -8, 16, 24, 24, -40, 12, 36, 16, -40, 32, 0, -8, -32, -48, 8, 4, -72, 8, 24, -16, 0, -8, -32, -60, -56, 12, 16, 0, -32, 8, 16, 8, -24, -8, -40, -16, 16, -40, 0, 16, -16, 48, 24, -72, 0, 0, 4, 8, -48, -48, 12, 56, -24, -116, -8, 16, 8, 72, -24, 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