# Stored data for newform 177.8.a.c, downloaded from the LMFDB on 19 April 2024.
{"label": "177.8.a.c", "space_label": "177.8.a", "level": 177, "weight": 8, "hecke_orbit": 3, "hecke_orbit_code": 9007199388958897, "dim": 17, "is_polredabs": false, "trace_hash": 216977035299512294, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [248723246810300416, 79787300207378432, -29180140031461376, -10454479722123264, 886760582981376, 413177144536320, -10751966150272, -7480805165760, 50741131904, 71331230512, 12724944, -377920980, -848131, 1108684, 2385, -1669, -2, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-3^{3}q^{3}+(68+\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11328, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 55.29214951068955, "hecke_ring_index": 248832, "level_radical": 177, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": false, "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": [177, 1, [119, 61], [1, 1]], "hecke_ring_generator_nbound": 31, "inner_twist_count": 1, "level_primes": [3, 59], "conrey_indexes": [1], "field_poly": [248723246810300416, 79787300207378432, -29180140031461376, -10454479722123264, 886760582981376, 413177144536320, -10751966150272, -7480805165760, 50741131904, 71331230512, 12724944, -377920980, -848131, 1108684, 2385, -1669, -2, 1], "hecke_ring_index_factorization": [[2, 10], [3, 5]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.194", "prec": 17}, {"__RealLiteral__": 0, "data": "13.723", "prec": 20}, {"__RealLiteral__": 0, "data": "7.538", "prec": 17}, {"__RealLiteral__": 0, "data": "599.343", "prec": 24}, {"__RealLiteral__": 0, "data": "549.226", "prec": 24}, {"__RealLiteral__": 0, "data": "43029.733", "prec": 30}], "related_objects": 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