# Stored data for newform 841.2.e.k, downloaded from the LMFDB on 25 April 2024.
{"label": "841.2.e.k", "space_label": "841.2.e", "level": 841, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45036271185167177, "dim": 24, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 0, -6, 0, 35, 0, -204, 0, 1189, 0, -6930, 0, 40391, 0, -6930, 0, 1189, 0, -204, 0, 35, 0, -6, 0, 1]]], "char_order": 14, "char_parity": 1, "char_degree": 6, "char_conductor": 29, "char_orbit_label": "e", "char_is_real": false, "Nk2": 3364, "analytic_conductor": 6.71541880998968, "level_radical": 29, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [841, 14, [2], [11]], "inner_twist_count": 12, "level_primes": [29], "conrey_indexes": [63, 196, 236, 267, 270, 651], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c14", "trace_display": [0, 0, -4, 0], "traces": [24, 0, 0, 4, -4, -12, 0, 0, 0, 0, 0, 0, -4, 0, 0, -12, 0, 0, 0, 4, 0, 4, 8, 20, 16, 0, 0, 192, 0, 72, 0, 0, -4, -8, 0, -32, 0, -24, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, -4, 0, 8, 36, -4, -4, 0, 0, -144, 0, 48, 0, 0, -52, -32, -28, -4, 0, 0, 0, 0, 0, -24, 0, 0, -16, 0, 0, 0, -44, 0, -12, 4, -32, -8, 0, 0, 72, 0, -24, 0, 0, 32, 56, 52, -20, 0, 4, 0, 0, 0, -16, 0, 0, 8, 0, 0, 0, 48, 0, 28, 4, 16, 0, 0, 0, -48, 0, -192, 0, 0, 20, -32, 24, 32, 0, 36, 0, 0, 0, 12, 0, 0, 4, 0, 0, 0, -8, 0, -40, -56, -32, 20, 0, 0, 0, 0, -96, 0, 0, -20, 48, 0, 72, 0, 0, 0, 0, 0, 12, 0, 0, 64, 0, 0, 0, -4, 0, -24, -64, 16, -8, 0, 0, -432, 0, 0, 0, 0, 64, 8, -32, 12, 0, -24, 0, 0, 0, -24, 0, 0, -24, 0, 0, 0, 32, 0, 4, -8, 0, -32, 0, 0, 0, 0, 48, 0, 0, 64, -12, 24, 32, 0, 100, 0, 0, 0, -4, 0, 0, -16, 0, 0, 0, 24, 0, 0, -72, -24, -120, 0, 0, 0, 0, 168, 0, 0, -56, -12, 0, 56, 0, -28, 0, 0, 0, -4, 0, 0, 76, 0, 0, 0, 32, 0, 8, 8, 52, 84, 0, 0, -216, 0, -624, 0, 0, -4, 96, -64, -64, 0, -4, 0, 0, 0, -48, 0, 0, 24, 0, 0, 0, -60, 0, 24, 56, 24, 4, 0, 0, 120, 0, 192, 0, 0, -12, -8, 48, -12, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 84, -28, 48, -32, 0, 0, 648, 0, 168, 0, 0, -48, -100, 16, 4, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 72, 0, -28, 96, 0, 52, 0, 0, 144, 0, 216, 0, 0, 20, 40, 40, -24, 0, 0, 0, 0, 0, 68, 0, 0, -64, 0, 0, 0, 24, 0, -16, 96, -180, 60, 0, 0, -72, 0, 0, 0, 0, -8, -120, -48, -108, 0, 16, 0, 0, 0, -44, 0, 0, -104, 0, 0, 0, -100, 0, -96, 48, 52, 64, 0, 0, -24, 0, -96, 0, 0, -32, 48, -40, -64, 0, -8, 0, 0, 0, -72, 0, 0, -108, 0, 0, 0, -104, 0, -80, -4, -12, -56, 0, 0, -768, 0, 552, 0, 0, -24, 4, 0, -8, 0, -80, 0, 0, 0, 32, 0, 0, -64, 0, 0, 0, 32, 0, 72, 0, 24, 56, 0, 0, 624, 0, -312, 0, 0, -64, -64, -20, -48, 0, 28, 0, 0, 0, 96, 0, 0, 4, 0, 0, 0, 64, 0, 96, 80, -40, -4, 0, 0, 384, 0, 720, 0, 0, 32, -88, 8, -36, 0, -92, 0, 0, 0, -8, 0, 0, 76, 0, 0, 0, -24, 0, 8, -76, -28, 64, 0, 0, 360, 0, 384, 0, 0, -4, 56, -12, -52, 0, -64, 0, 0, 0, 48, 0, 0, 168, 0, 0, 0, 92, 0, -40, 28, 128, -64, 0, 0, 96, 0, -528, 0, 0, 16, 56, -24, 128, 0, 0, 0, 0, 0, -52, 0, 0, -96, 0, 0, 0, 32, 0, 120, 32, -32, 32, 0, 0, 96, 0, -384, 0, 0, -48, 32, -40, -8, 0, 72, 0, 0, 0, -44, 0, 0, 52, 0, 0, 0, -80, 0, 64, -64, 160, -32, 0, 0, -432, 0, -144, 0, 0, -36, -28, 32, 32, 0, 56, 0, 0, 0, 8, 0, 0, -44, 0, 0, 0, -32, 0, -136, -20, 108, -168, 0, 0, 24, 0, -192, 0, 0, 176, 96, 0, 12, 0, 136, 0, 0, 0, -128, 0, 0, 148, 0, 0, 0, 32, 0, 4, -88, -12, 8, 0, 0, -384, 0, 48, 0, 0, 8, -32, 4, 120, 0, 48, 0, 0, 0, -8, 0, 0, -16, 0, 0, 0, 0, 0, -100, -40, -192, -8, 0, 0, 336, 0, -768, 0, 0, 128, -36, -4, 96, 0, 20, 0, 0, 0, 60, 0, 0, -96, 0, 0, 0, 88, 0, -4, 24, 0, -32, 0, 0, -696, 0, 768, 0, 0, -84, 16, -56, 88, 0, -72, 0, 0, 0, 32, 0, 0, 120, 0, 0, 0, -20, 0, 64, -40, -32, 108, 0, 0, -552, 0, 0, 0, 0, 56, 8, 72, -24, 0, -64, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 64, 0, 0, -64, -16, -96, 0, 0, -96, 0, 72, 0, 0, -24, 8, 4, 12, 0, 32, 0, 0, 0, -64, 0, 0, 56, 0, 0, 0, -16, 0, 64, -180, -168, -64, 0, 0, -192, 0, 552, 0, 0, 24, 120, 104, -32, 0, 28, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, -60, 0, -168, -24, 72, 28, 0, 0, 384, 0, -1200, 0, 0, 16, 32, 32, -12, 0, 32, 0, 0, 0, -64, 0, 0, 36, 0, 0, 0, -32, 0, -56, -20, 72, 160, 0, 0, -24, 0, -384, 0, 0, -144, 0, 80, 92, 0, 40, 0, 0, 0, -16, 0, 0, -88, 0, 0, 0, 64, 0, 8, -24, -92, 8, 0, 0, -1008, 0, -768, 0, 0, -64, 88, 12, -160, 0, -136, 0, 0, 0, 72, 0, 0, -24, 0, 0, 0, 24, 0, 28, 56, -56, -32, 0, 0, 192, 0, 720, 0, 0, 156, -8, 212, -24, 0, 24, 0, 0, 0, -68, 0, 0, -24, 0, 0, 0, 44, 0, 96, 168, -64, 52, 0, 0, 720, 0, -264, 0, 0, 112, -80, -32, 156, 0, 128, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, -156, 0, 32, 4, -64, -92, 0, 0, 48, 0, 192, 0, 0, 0, -40, -4, 12, 0, -32, 0, 0, 0, -16, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": true, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 2, 1, 2, 0], [1, 5, 29, 4, 1, 7, 0], [1, 5, 29, 5, 1, 14, 0]], "char_orbit_index": 5, "prim_orbit_index": 5, "minimal_twist": "29.2.a.a", "char_is_minimal": false, "conrey_index": 63, "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}