# Stored data for newform 4802.2.a.o, downloaded from the LMFDB on 04 May 2024.
{"label": "4802.2.a.o", "space_label": "4802.2.a", "level": 4802, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816746178, "dim": 12, "is_polredabs": true, "trace_hash": 1592825026108499589, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-41, -455, 802, 574, -1412, 56, 820, -273, -150, 84, 2, -7, 1]]], "qexp_display": "q+q^{2}+(1-\\beta _{1})q^{3}+q^{4}+(1-\\beta _{6}+\\beta _{11})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19208, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 38.34416305061884, "hecke_ring_index": 1, "level_radical": 14, "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": {"__RealLiteral__": 0, "data": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [4802, 1, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7], "conrey_indexes": [1], "field_disc": 41670255248219997, "field_disc_factorization": [[3, 6], [7, 10], [202357, 1]], "field_poly": [1, -23, -226, -292, 302, 511, -125, -273, 36, 61, -9, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.151", "prec": 17}, {"__RealLiteral__": 0, "data": "10.705", "prec": 20}, {"__RealLiteral__": 0, "data": "4.875", "prec": 17}, {"__RealLiteral__": 0, "data": "345.206", "prec": 24}, {"__RealLiteral__": 0, "data": "77.037", "prec": 20}, {"__RealLiteral__": 0, "data": "19190.395", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, 1]], "trace_display": [12, 7, 14, 0], "traces": [0, 12, 12, 7, 12, 14, 7, 0, 12, 9, 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