# Stored data for newform 336.4.h.b, downloaded from the LMFDB on 25 April 2024.
{"label": "336.4.h.b", "space_label": "336.4.h", "level": 336, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4504080730816848, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [7274042944, 0, 6129603648, 0, 693441840, 0, 18224416, 0, 176364, 0, 708, 0, 1]]], "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 12, "char_orbit_label": "h", "char_is_real": true, "Nk2": 5376, "analytic_conductor": 19.824641761928845, "level_radical": 42, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [336, 2, [127, 85, 113, 241], [1, 2, 1, 2]], "inner_twist_count": 4, "level_primes": [2, 3, 7], "conrey_indexes": [239], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 24, "sato_tate_group": "3.2.3.c2", "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 592, 0, 0, 0, -1176, 0, 0, 0, 0, 0, 0, 0, -1120, 0, 0, 0, -2304, 0, 0, 0, 0, 0, 0, 0, 1168, 0, 0, 0, 3312, 0, 0, 0, 0, 0, 0, 0, -968, 0, 0, 0, -5808, 0, 0, 0, 0, 0, 0, 0, 1776, 0, 0, 0, 6480, 0, 0, 0, 0, 0, 0, 0, -560, 0, 0, 0, -816, 0, 0, 0, 0, 0, 0, 0, 976, 0, 0, 0, 5448, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, -1680, 0, 0, 0, 0, 0, 0, 0, -672, 0, 0, 0, 5184, 0, 0, 0, 0, 0, 0, 0, -6016, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, -7408, 0, 0, 0, 6696, 0, 0, 0, 0, 0, 0, 0, 15872, 0, 0, 0, -3936, 0, 0, 0, 0, 0, 0, 0, 1792, 0, 0, 0, -10368, 0, 0, 0, 0, 0, 0, 0, 9552, 0, 0, 0, 17136, 0, 0, 0, 0, 0, 0, 0, -4256, 0, 0, 0, -5712, 0, 0, 0, 0, 0, 0, 0, 28584, 0, 0, 0, -28896, 0, 0, 0, 0, 0, 0, 0, -32448, 0, 0, 0, -13104, 0, 0, 0, 0, 0, 0, 0, -8800, 0, 0, 0, -1488, 0, 0, 0, 0, 0, 0, 0, 22240, 0, 0, 0, 31584, 0, 0, 0, 0, 0, 0, 0, 4816, 0, 0, 0, 20640, 0, 0, 0, 0, 0, 0, 0, -27536, 0, 0, 0, -13560, 0, 0, 0, 0, 0, 0, 0, -36448, 0, 0, 0, -4032, 0, 0, 0, 0, 0, 0, 0, 11504, 0, 0, 0, -6768, 0, 0, 0, 0, 0, 0, 0, -11872, 0, 0, 0, -34080, 0, 0, 0, 0, 0, 0, 0, -28928, 0, 0, 0, -18864, 0, 0, 0, 0, 0, 0, 0, 15536, 0, 0, 0, 89280, 0, 0, 0, 0, 0, 0, 0, 11648, 0, 0, 0, 6024, 0, 0, 0, 0, 0, 0, 0, 50528, 0, 0, 0, -23472, 0, 0, 0, 0, 0, 0, 0, -11152, 0, 0, 0, -31248, 0, 0, 0, 0, 0, 0, 0, 27104, 0, 0, 0, -83040, 0, 0, 0, 0, 0, 0, 0, -27904, 0, 0, 0, -1488, 0, 0, 0, 0, 0, 0, 0, -28816, 0, 0, 0, -64800, 0, 0, 0, 0, 0, 0, 0, 94784, 0, 0, 0, 153648, 0, 0, 0, 0, 0, 0, 0, 6664, 0, 0, 0, 107088, 0, 0, 0, 0, 0, 0, 0, 16784, 0, 0, 0, -57648, 0, 0, 0, 0, 0, 0, 0, -54720, 0, 0, 0, -23520, 0, 0, 0, 0, 0, 0, 0, 61888, 0, 0, 0, -14688, 0, 0, 0, 0, 0, 0, 0, -125840, 0, 0, 0, 32736, 0, 0, 0, 0, 0, 0, 0, -16768, 0, 0, 0, -14928, 0, 0, 0, 0, 0, 0, 0, 33664, 0, 0, 0, 128352, 0, 0, 0, 0, 0, 0, 0, 33936, 0, 0, 0, -2136, 0, 0, 0, 0, 0, 0, 0, -7904, 0, 0, 0, -19872, 0, 0, 0, 0, 0, 0, 0, 16656, 0, 0, 0, -53088, 0, 0, 0, 0, 0, 0, 0, 108688, 0, 0, 0, -125088, 0, 0, 0, 0, 0, 0, 0, -186048, 0, 0, 0, 94992, 0, 0, 0, 0, 0, 0, 0, -122464, 0, 0, 0, -32832, 0, 0, 0, 0, 0, 0, 0, 156928, 0, 0, 0, 32208, 0, 0, 0, 0, 0, 0, 0, 44464, 0, 0, 0, 78288, 0, 0, 0, 0, 0, 0, 0, 139376, 0, 0, 0, -92856, 0, 0, 0, 0, 0, 0, 0, -117680, 0, 0, 0, -4704, 0, 0, 0, 0, 0, 0, 0, 24256, 0, 0, 0, 41376, 0, 0, 0, 0, 0, 0, 0, -181168, 0, 0, 0, 62016, 0, 0, 0, 0, 0, 0, 0, -152384, 0, 0, 0, -184032, 0, 0, 0, 0, 0, 0, 0, 132064, 0, 0, 0, 142944, 0, 0, 0, 0, 0, 0, 0, 23744, 0, 0, 0, -73968, 0, 0, 0, 0, 0, 0, 0, 112224, 0, 0, 0, -109584, 0, 0, 0, 0, 0, 0, 0, 87280, 0, 0, 0, -78288, 0, 0, 0, 0, 0, 0, 0, 197240, 0, 0, 0, -11136, 0, 0, 0, 0, 0, 0, 0, -364976, 0, 0, 0, 39456, 0, 0, 0, 0, 0, 0, 0, -44544, 0, 0, 0, -192720, 0, 0, 0, 0, 0, 0, 0, 158896, 0, 0, 0, 235152, 0, 0, 0, 0, 0, 0, 0, 94864, 0, 0, 0, 192240, 0, 0, 0, 0, 0, 0, 0, 43712, 0, 0, 0, -194016, 0, 0, 0, 0, 0, 0, 0, -130144, 0, 0, 0, -13776, 0, 0, 0, 0, 0, 0, 0, 98704, 0, 0, 0, -103776, 0, 0, 0, 0, 0, 0, 0, -232896, 0, 0, 0, 40032, 0, 0, 0, 0, 0, 0, 0, -237840, 0, 0, 0, -318216, 0, 0, 0, 0, 0, 0, 0, 115104, 0, 0, 0, 432096, 0, 0, 0, 0, 0, 0, 0, 53312, 0, 0, 0, 257136, 0, 0, 0, 0, 0, 0, 0, 129808, 0, 0, 0, -321264, 0, 0, 0, 0, 0, 0, 0, -41840, 0, 0, 0, -81312, 0, 0, 0, 0, 0, 0, 0, 161408, 0, 0, 0, -127872, 0, 0, 0, 0, 0, 0, 0, -332848, 0, 0, 0, 369024, 0, 0, 0, 0, 0, 0, 0, -16896, 0, 0, 0, 43680, 0, 0, 0, 0, 0, 0, 0, 77472, 0, 0, 0, 269904, 0, 0, 0, 0, 0, 0, 0, 115472, 0, 0, 0, 345600, 0, 0, 0, 0, 0, 0, 0, 203264, 0, 0, 0, -187704, 0, 0, 0, 0, 0, 0, 0, -102688, 0, 0, 0, -67872, 0, 0, 0, 0, 0, 0, 0, 80176, 0, 0, 0, -162336, 0, 0, 0, 0, 0, 0, 0, -255056, 0, 0, 0, 23904, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], "char_orbit_index": 8, "prim_orbit_index": 2, "minimal_twist": "336.4.h.b", "char_is_minimal": true, "conrey_index": 239, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}