# Stored data for newform 63.10.a.g, downloaded from the LMFDB on 16 August 2026.
{"Nk2": 6300, "analytic_conductor": 32.44725767832401, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [7, 1]], "atkin_lehner_string": "++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [63, 1, [29, 10], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 1101725401084, "field_disc_factorization": [[2, 2], [7, 1], [11, 2], [443, 2], [1657, 1]], "field_poly": [46396, 0, -479, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 1, "hecke_cutters": [[2, [742336, 0, -1916, 0, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597931995199, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 288, "hecke_ring_index_factorization": [[2, 5], [3, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "63.10.a.g", "level": 63, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 7], "level_radical": 21, "minimal_twist": "63.10.a.g", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(446+\\beta _{3})q^{4}+(-20\\beta _{1}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "63.10.a", "trace_display": [0, 0, 0, -9604], "trace_hash": 2063820857479426959, "trace_moments": [0, {"__RealLiteral__": 0, "data": "3.696", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "71.067", "prec": 17}, 0, {"__RealLiteral__": 0, "data": "1963.029", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.509", "prec": 10}, "traces": [0, 4, 0, 0, 1784, 0, 0, -9604, 0, 0, -77176, 0, 0, -291848, 0, 0, -464608, 0, 0, 527200, 0, 0, 660392, 0, 0, 2237804, 0, 0, -4283384, 0, 0, -10657440, 0, 0, -42084264, 0, 0, -26229864, 0, 0, -77006688, 0, 0, -15290896, 0, 0, -142211880, 0, 0, 23059204, 0, 0, -134374480, 0, 0, -276675872, 0, 0, -101280928, 0, 0, 47478184, 0, 0, -170350208, 0, 0, -674169776, 0, 0, 185299576, 0, 0, -748790952, 0, 0, -1093911328, 0, 0, 1922729600, 0, 0, 1812025864, 0, 0, 1960546368, 0, 0, 2184349728, 0, 0, 700727048, 0, 0, 2150680464, 0, 0, -1678668264, 0, 0, 2464638664, 0, 0, -112500736, 0, 0, 7178241648, 0, 0, -4937195160, 0, 0, 1115523808, 0, 0, 170900928, 0, 0, 314740464, 0, 0, -1153335916, 0, 0, 4426578144, 0, 0, -3473608608, 0, 0, 6123517136, 0, 0, -1265807200, 0, 0, -13832663328, 0, 0, 852941856, 0, 0, -10444272120, 0, 0, -24059893088, 0, 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