# Stored data for newform 1617.4.a.bd, downloaded from the LMFDB on 13 June 2024.
{"Nk2": 25872, "analytic_conductor": 95.40608847928257, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [7, 1], [11, 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": [1617, 1, [1079, 199, 442], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 16, "field_disc": 53264741000524074281756450971298591042973168828416, "field_disc_factorization": [[2, 26], [7, 1], [17, 1], [2560686058247, 1], [38812016574761, 1], [67110492479353, 1]], "field_poly": [-738304, 6896896, -4854640, -14389664, 8898560, 7831536, -3590705, -1772388, 657606, 199466, -63875, -11756, 3385, 346, -92, -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, [-738304, -6896896, -4854640, 14389664, 8898560, -7831536, -3590705, 1772388, 657606, -199466, -63875, 11756, 3385, -346, -92, 4, 1]], [5, [16055671813888, 18890333580160, -14198466606352, -12709673472416, 4147579649424, 1124056558600, -346913866966, -21847618212, 8594367185, 156678844, -92455556, -450684, 477806, 508, -1142, 0, 1]]], "hecke_orbit": 30, "hecke_orbit_code": 130604389260854865, "hecke_ring_generator_nbound": 17, "hecke_ring_index": 5488, "hecke_ring_index_factorization": [[2, 4], [7, 3]], "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": true, "label": "1617.4.a.bd", "level": 1617, "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": [3, 7, 11], "level_radical": 231, "minimal_twist": "1617.4.a.bc", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+3q^{3}+(5+\\beta _{2})q^{4}+(\\beta _{1}-\\beta _{5}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 16, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1617.4.a", "trace_display": [-4, 48, 0, 0], "trace_hash": 1944511187667553805, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13.253", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "507.231", "prec": 24}, {"__RealLiteral__": 0, "data": "301.364", "prec": 24}, {"__RealLiteral__": 0, "data": "32776.707", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 16, -4, 48, 72, 0, -12, 0, -66, 144, -178, -176, 216, -104, 0, 0, 220, -220, -36, -152, -182, 0, 44, -180, -198, 284, -10, 432, 0, -604, -534, -380, -592, -528, -632, 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