# Stored data for newform 245.6.a.i, downloaded from the LMFDB on 19 April 2024.
{"label": "245.6.a.i", "space_label": "245.6.a", "level": 245, "weight": 6, "hecke_orbit": 9, "hecke_orbit_code": 36028797119627509, "dim": 6, "is_polredabs": true, "trace_hash": 1244069179538480174, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-504, 900, 1682, -385, -99, 5, 1]], [3, [6879276, -2078280, 87921, 13100, -718, -20, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(3+\\beta _{1}-\\beta _{3})q^{3}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8820, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 39.29403585418026, "hecke_ring_index": 4, "level_radical": 35, "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": 0, "analytic_rank_proved": true, "char_values": [245, 1, [197, 101], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 7], "conrey_indexes": [1], "field_disc": 247385127567292741, "field_disc_factorization": [[13, 2], [73, 1], [877, 1], [22864643209, 1]], "field_poly": [560, -3204, 2208, 41, -109, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.565", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "86.931", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2049.716", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, 1]], "trace_display": [-5, 20, -150, 0], "traces": [0, 6, -5, 20, 31, -150, 96, 0, -135, 378, 125, -924, 370, -150, 0, -500, 435, 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