# Stored data for newform 605.6.a.p, downloaded from the LMFDB on 15 May 2024.
{"label": "605.6.a.p", "space_label": "605.6.a", "level": 605, "weight": 6, "hecke_orbit": 16, "hecke_orbit_code": 67553994511221341, "dim": 20, "is_polredabs": true, "trace_hash": 1157659596496813938, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-32708279373824, 157475390795776, -51220983567360, -163614980036608, 88321308161536, 22119016261376, -15019635572992, -1362443421632, 1089062915552, 48021607312, -42703408468, -1043264932, 987264735, 14112735, -13821739, -115347, 115018, 521, -523, -1, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{4}q^{3}+(20+\\beta _{2})q^{4}-5^{2}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21780, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 97.03221098685329, "hecke_ring_index": 3429742096, "level_radical": 55, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [605, 1, [122, 486], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [5, 11], "conrey_indexes": [1], "field_disc": 165623857200581285849513017284501168765610174859118778301922461145762814032907497314453125, "field_disc_factorization": [[5, 12], [13, 2], [25419181, 1], [53203068241, 1], [2968232428379380322283970198115224060097374465015409484393841, 1]], "field_poly": [-32708279373824, 157475390795776, -51220983567360, -163614980036608, 88321308161536, 22119016261376, -15019635572992, -1362443421632, 1089062915552, 48021607312, -42703408468, -1043264932, 987264735, 14112735, -13821739, -115347, 115018, 521, -523, -1, 1], "hecke_ring_index_factorization": [[2, 4], [11, 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