# Stored data for newform 841.2.e.j, downloaded from the LMFDB on 07 October 2024.
{"Nk2": 3364, "analytic_conductor": 6.71541880998968, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 29, "char_degree": 6, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 14, "char_parity": 1, "char_values": [841, 14, [2], [11]], "cm_discs": [], "conrey_index": 63, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[2, [1, 0, -3, 0, 8, 0, -21, 0, 55, 0, -144, 0, 377, 0, -144, 0, 55, 0, -21, 0, 8, 0, -3, 0, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532671557796681, "inner_twist_count": 12, "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]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "841.2.e.j", "level": 841, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": true, "level_is_square": true, "level_is_squarefree": false, "level_primes": [29], "level_radical": 29, "minimal_twist": "841.2.a.a", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c14", "self_twist_discs": [], "self_twist_type": 0, "space_label": "841.2.e", "trace_display": [0, 0, 2, 0], "traces": [24, 0, 0, -2, 2, -6, 0, 0, -6, 0, 0, 0, 8, 0, 0, 6, 0, 0, 0, 16, 0, 10, -4, -10, -26, 0, 0, -60, 0, 72, 0, 0, -10, 16, -30, -8, 0, -12, 0, 0, 0, -10, 0, 0, 18, 0, 0, 0, 8, 0, -16, -6, 8, -22, 0, 0, -72, 0, 12, 0, 0, -16, 10, 8, 26, 0, -24, 0, 0, 0, 24, 0, 0, -34, 0, 0, 0, 22, 0, 42, 4, -14, 4, 0, 0, 0, 0, -60, 0, 0, 20, 8, 16, -14, 0, 4, 0, 0, 0, -28, 0, 0, 8, 0, 0, 0, -36, 0, -62, 40, 34, 30, 0, 0, 168, 0, -12, 0, 0, -10, -14, -6, 14, 0, 48, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 10, 0, -16, -32, -20, 14, 0, 0, 36, 0, -96, 0, 0, 34, -24, 42, -30, 0, 30, 0, 0, 0, -24, 0, 0, -20, 0, 0, 0, -40, 0, 60, -10, 16, 82, 0, 0, 36, 0, -180, 0, 0, 34, -64, 34, 12, 0, 6, 0, 0, 0, 60, 0, 0, 6, 0, 0, 0, -58, 0, 4, 52, 0, 10, 0, 0, 36, 0, -132, 0, 0, 4, -42, 0, -40, 0, 4, 0, 0, 0, -40, 0, 0, -16, 0, 0, 0, -42, 0, -54, -42, 12, 6, 0, 0, 180, 0, 312, 0, 0, -26, 24, 60, 26, 0, 44, 0, 0, 0, -4, 0, 0, -50, 0, 0, 0, 20, 0, 26, -82, -14, 48, 0, 0, 72, 0, 132, 0, 0, -4, 0, -34, 8, 0, -34, 0, 0, 0, -36, 0, 0, 90, 0, 0, 0, -12, 0, -12, 32, -6, -50, 0, 0, -348, 0, -348, 0, 0, 12, 76, -60, -30, 0, 28, 0, 0, 0, 6, 0, 0, -6, 0, 0, 0, 38, 0, 30, 74, -36, -50, 0, 0, -72, 0, -156, 0, 0, 18, -28, 22, 82, 0, -30, 0, 0, 0, 42, 0, 0, -48, 0, 0, 0, 42, 0, 20, -18, 0, -20, 0, 0, 288, 0, 216, 0, 0, -40, 4, 22, -72, 0, -60, 0, 0, 0, -22, 0, 0, -10, 0, 0, 0, 36, 0, -58, 0, 18, -78, 0, 0, 0, 0, 180, 0, 0, -26, 60, -102, 30, 0, 4, 0, 0, 0, 64, 0, 0, 22, 0, 0, 0, 92, 0, 0, -6, 16, -56, 0, 0, -528, 0, 300, 0, 0, -8, 36, -46, 50, 0, -122, 0, 0, 0, -30, 0, 0, 78, 0, 0, 0, 16, 0, -8, 50, 60, 40, 0, 0, -120, 0, 156, 0, 0, -48, 70, 12, -92, 0, -8, 0, 0, 0, 20, 0, 0, -10, 0, 0, 0, 50, 0, 48, 48, -42, -4, 0, 0, -96, 0, 228, 0, 0, -4, -40, -98, 36, 0, 40, 0, 0, 0, 12, 0, 0, 58, 0, 0, 0, -32, 0, -30, -130, -10, -82, 0, 0, -12, 0, -144, 0, 0, -40, -34, -22, 54, 0, -62, 0, 0, 0, 40, 0, 0, -86, 0, 0, 0, 54, 0, 146, 20, -70, -50, 0, 0, 36, 0, -516, 0, 0, -10, 74, 60, 68, 0, -28, 0, 0, 0, -12, 0, 0, -12, 0, 0, 0, -52, 0, -94, 16, 50, -34, 0, 0, -120, 0, 120, 0, 0, 58, 14, 54, -34, 0, 30, 0, 0, 0, -28, 0, 0, 60, 0, 0, 0, 62, 0, -60, -10, 4, 2, 0, 0, 24, 0, 480, 0, 0, 60, 14, -46, -182, 0, 102, 0, 0, 0, -98, 0, 0, 22, 0, 0, 0, -50, 0, 40, -16, -14, 82, 0, 0, 252, 0, 72, 0, 0, -24, -34, 8, 50, 0, 62, 0, 0, 0, 32, 0, 0, 16, 0, 0, 0, -74, 0, -10, -50, -78, 12, 0, 0, 96, 0, -336, 0, 0, -64, -96, 0, -60, 0, -140, 0, 0, 0, -20, 0, 0, -98, 0, 0, 0, -70, 0, 10, 38, -30, 92, 0, 0, 156, 0, -60, 0, 0, -10, 40, -8, 120, 0, 48, 0, 0, 0, 160, 0, 0, -70, 0, 0, 0, -48, 0, -16, -52, 60, 22, 0, 0, 444, 0, 24, 0, 0, 80, -120, 74, 78, 0, 98, 0, 0, 0, -90, 0, 0, 60, 0, 0, 0, -32, 0, 62, 42, 48, 100, 0, 0, 204, 0, -24, 0, 0, 42, -68, 100, -2, 0, 54, 0, 0, 0, -16, 0, 0, -24, 0, 0, 0, -32, 0, 46, -10, -20, 42, 0, 0, -372, 0, -504, 0, 0, 92, -40, 60, -150, 0, -10, 0, 0, 0, -46, 0, 0, 60, 0, 0, 0, -20, 0, -90, 50, 92, 48, 0, 0, -456, 0, 72, 0, 0, -12, -4, 10, -18, 0, -10, 0, 0, 0, 20, 0, 0, -154, 0, 0, 0, -40, 0, -20, 12, 12, -10, 0, 0, 240, 0, -312, 0, 0, 114, 60, 32, 10, 0, 88, 0, 0, 0, -20, 0, 0, 12, 0, 0, 0, -36, 0, -78, 30, 30, 82, 0, 0, 420, 0, -192, 0, 0, -128, 14, 50, -12, 0, 14, 0, 0, 0, -10, 0, 0, 150, 0, 0, 0, 10, 0, -14, -2, -72, 28, 0, 0, 120, 0, -528, 0, 0, -12, -60, -28, -22, 0, 46, 0, 0, 0, 38, 0, 0, -40, 0, 0, 0, 58, 0, 14, -42, 46, 32, 0, 0, 468, 0, 492, 0, 0, -40, -80, 114, 98, 0, 86, 0, 0, 0, -18, 0, 0, 12, 0, 0, 0, 0, 0, 34, 74, -8, 10, 0, 0, 228, 0, 288, 0, 0, -36, -32, -22, 90, 0, -36, 0, 0, 0, -68, 0, 0, -72, 0, 0, 0, 2, 0, -78, -12, 110, -14, 0, 0, -648, 0, -300, 0, 0, 82, 118, -44, -48, 0, -40, 0, 0, 0, -136, 0, 0, -60, 0, 0, 0, 78, 0, 50, -32, -88, 100, 0, 0, -384, 0, -420, 0, 0, 30, 92, -106, 30, 0, -50, 0, 0, 0, 128, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}