# Stored data for newform 825.6.a.v, downloaded from the LMFDB on 24 April 2024.
{"label": "825.6.a.v", "space_label": "825.6.a", "level": 825, "weight": 6, "hecke_orbit": 22, "hecke_orbit_code": 94575592275444537, "dim": 13, "is_polredabs": true, "trace_hash": 1113411499196062315, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1145312512, -484005120, -1157491968, 125987072, 183538464, -3851488, -11270528, -348208, 292621, 16399, -3286, -228, 13, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}-9q^{3}+(2^{4}-\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29700, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 132.31665134570903, "hecke_ring_index": 360000000, "level_radical": 165, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [825, 1, [551, 727, 376], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 1161945696535438595740806543874344753369588925907009536, "field_disc_factorization": [[2, 16], [3472831, 1], [361168589, 1], [14135535939868315759439555065949189, 1]], "field_poly": [522579400, 1518551280, -549984598, -448113518, 63733360, 42852537, -2591628, -1788312, 39928, 34574, -206, -306, 0, 1], "hecke_ring_index_factorization": [[2, 9], [3, 2], [5, 7]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.076", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "350.024", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "17732.368", "prec": 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