# Stored data for newform 360.2.w.e, downloaded from the LMFDB on 24 April 2024.
{"label": "360.2.w.e", "space_label": "360.2.w", "level": 360, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18015910371524968, "dim": 24, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [268435456, 0, 0, 0, 440926208, 0, 0, 0, 81309952, 0, 0, 0, 4752640, 0, 0, 0, 98656, 0, 0, 0, 720, 0, 0, 0, 1]]], "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 40, "char_orbit_label": "w", "char_is_real": false, "Nk2": 1440, "analytic_conductor": 2.8746144727660936, "level_radical": 30, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [360, 4, [271, 181, 281, 217], [2, 2, 4, 3]], "inner_twist_count": 4, "level_primes": [2, 3, 5], "conrey_indexes": [163, 307], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c4", "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, 0, 0, 0, 0, 12, 0, 8, 0, 0, 0, 0, 0, -20, -8, 0, 0, 20, 0, -28, 0, 0, -8, 16, 0, 4, 0, 0, 0, -20, 0, 0, 48, 0, 0, -40, 0, 8, 0, 0, -32, 0, 0, 48, 0, 0, 0, -56, 0, -48, 0, 0, 0, 32, 0, -12, 0, 0, 0, 16, 0, 0, 8, 0, 48, -72, 0, 4, 0, 0, -40, 0, 0, 48, 0, 0, 0, -76, 0, 24, -80, 0, 0, 32, 0, 12, 0, 0, 64, -16, 0, 0, 0, 0, -24, 88, 0, 4, 0, 0, 0, 0, 0, -56, 0, 0, 0, 80, 0, 60, 40, 0, -64, 40, 0, -44, 0, 0, 24, 16, 0, 0, 0, 0, 0, 84, 0, -32, 0, 0, 0, 0, 0, 0, -8, 0, 0, 88, 0, -48, 0, 0, 16, -32, 0, -32, 0, 0, 0, 56, 0, 0, -112, 0, 0, -64, 0, -76, -32, 0, 80, 0, 0, 24, 0, 0, 0, -96, 0, 16, 0, 0, 0, -96, 0, 40, 0, 0, 0, -88, 0, 0, -8, 0, -112, -56, 0, 96, 0, 0, 8, 0, 0, 60, 0, 0, 0, -76, 0, 44, 144, 0, 0, 16, 0, 72, 0, 0, -176, -112, 0, 0, 0, 0, -16, 104, 0, 60, 0, 0, 0, 0, 0, 104, 48, 0, 0, 96, 0, 4, -40, 0, 96, 144, 0, -64, 0, 0, -96, 120, 0, 0, 0, 0, 0, 120, 0, -68, 64, 0, 0, 0, 0, -60, 104, 0, 0, 112, 0, 60, 0, 0, 88, -176, 0, -80, 0, 0, 0, 112, 0, 0, 176, 0, 0, -112, 0, -140, -32, 0, -48, 0, 0, -16, 0, 0, 0, -96, 0, -28, 0, 0, 0, -104, 0, 172, 0, 0, 0, -176, 0, 0, -112, 0, 112, -120, 0, 24, 0, 0, 88, 0, 0, -128, 0, 0, 0, -100, 0, 0, -160, 0, 0, 208, 0, 120, 0, 0, 112, -128, 0, 0, 0, 0, 136, 136, 0, 88, 0, 0, 0, 0, 0, -160, -112, 0, 0, 112, 0, -60, -136, 0, 16, -8, 0, -76, 0, 0, -88, 104, 0, 0, 0, 0, 0, 96, 0, -216, -192, 0, 0, 0, 0, 80, 112, 0, 0, 136, 0, -48, 0, 0, -48, -160, 0, -156, 0, 0, 0, 172, 0, 0, -224, 0, 0, -80, 0, -16, 80, 0, 48, 0, 0, -8, 0, 0, 0, -72, 0, -12, 0, 0, 0, -200, 0, 48, 0, 0, 0, -128, 0, 0, 104, 0, -128, -144, 0, 96, 0, 0, -88, 0, 0, 64, 0, 0, 0, -120, 0, -72, 240, 0, 0, 80, 0, 60, 0, 0, -64, -96, 0, 0, 0, 0, 40, 104, 0, 160, 0, 0, 0, 0, 0, -88, 176, 0, 0, 184, 0, 132, 96, 0, 16, 192, 0, -96, 0, 0, 112, 112, 0, 0, 0, 0, 0, 184, 0, 20, 128, 0, 0, 0, 0, -112, -192, 0, 0, 140, 0, -60, 0, 0, -160, 0, 0, -36, 0, 0, 0, 84, 0, 0, 176, 0, 0, -216, 0, 8, 112, 0, 32, 0, 0, -32, 0, 0, 0, -224, 0, 32, 0, 0, 0, -192, 0, 100, 0, 0, 0, -64, 0, 0, 288, 0, 192, -208, 0, 156, 0, 0, 16, 0, 0, 176, 0, 0, 0, -248, 0, 168, -176, 0, 0, 160, 0, 112, 0, 0, 48, -56, 0, 0, 0, 0, -232, 152, 0, 108, 0, 0, 0, 0, 0, 120, -224, 0, 0, 192, 0, 72, 120, 0, 64, 40, 0, -16, 0, 0, 64, 80, 0, 0, 0, 0, 0, 152, 0, -8, -160, 0, 0, 0, 0, -216, -296, 0, 0, 120, 0, 0, 0, 0, 56, -80, 0, -32, 0, 0, 0, 88, 0, 0, -96, 0, 0, -240, 0, -136, -160, 0, -240, 0, 0, 192, 0, 0, 0, -136, 0, -192, 0, 0, 0, 216, 0, 176, 0, 0, 0, -8, 0, 0, -192, 0, -80, -128, 0, -32, 0, 0, 200, 0, 0, -172, 0, 0, 0, -224, 0, 160, 144, 0, 0, 32, 0, -64, 0, 0, -112, 56, 0, 0, 0, 0, 32, 224, 0, 52, 0, 0, 0, 0, 0, -344, 272, 0, 0, 176, 0, -104, -64, 0, -240, 144, 0, 0, 0, 0, -160, 64, 0, 0, 0, 0, 0, 200, 0, -84, 288, 0, 0, 0, 0, -48, 64, 0, 0, 200, 0, -224, 0, 0, 32, 16, 0, -208, 0, 0, 0, 24, 0, 0, 64, 0, 0, -256, 0, 0, -240, 0, 96, 0, 0, 16, 0, 0, 0, -200, 0, -180, 0, 0, 0, -88, 0, -124, 0, 0, 0, 16, 0, 0, -152, 0, 0, -96, 0, 88, 0, 0, -16, 0, 0, 312, 0, 0, 0, -180, 0, 0, -96, 0, 0, -208, 0, 28, 0, 0, 304, -112, 0, 0, 0, 0, 160, 24, 0, 8, 0, 0, 0, 0, 0, 104, -320, 0, 0, 128, 0, 344, -40, 0, 32, 48, 0, -148, 0, 0, 72, 40, 0, 0, 0, 0, 0, 216, 0, -32, -384, 0, 0, 0, 0, 72, 248, 0, 0, 160, 0, -80, 0, 0, -104, -144, 0, 192, 0, 0, 0, 88, 0, 0, -128, 0, 0, -128, 0, 60, 256, 0, -208, 0, 0, 256, 0, 0, 0, -240, 0, 28, 0, 0, 0, -64, 0, -80, 0, 0, 0, 24, 0, 0, 64, 0, -176, -288, 0, 112, 0, 0, -64, 0, 0, 224, 0, 0, 0, -64, 0, 156, 64, 0, 0, 240, 0, 132, 0, 0, -16, -72, 0, 0, 0, 0, -72, 160, 0, -112, 0, 0, 0, 0, 0, -32, 416, 0, 0, 216, 0, 128, 72, 0, -128, -304, 0, -32, 0, 0, 360, 88, 0, 0, 0, 0, 0, 84, 0, -84, 608, 0, 0, 0, 0, 64, -88, 0, 0, 124, 0, 204, 0, 0, -104, -48, 0, -48, 0, 0, 0, -24, 0, 0, 48, 0, 0, -8, 0, -292], "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, 5, 3, -1, 4, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 40, 11, 1, 4, 0]], "char_orbit_index": 23, "prim_orbit_index": 11, "minimal_twist": "120.2.v.a", "char_is_minimal": true, "conrey_index": 163, "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}