# Stored data for newform 841.2.d.k, downloaded from the LMFDB on 30 April 2026.
{"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": 4, "char_orbit_label": "d", "char_order": 7, "char_parity": 1, "char_values": [841, 7, [2], [1]], "cm_discs": [], "conrey_index": 190, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[2, [1, 0, 62, 0, 1203, 0, 1060, 0, 11157, 0, -12234, 0, 9611, 0, -1578, 0, 297, 0, 136, 0, 47, 0, 10, 0, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45036202465690441, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 2, 1, 2, 0], [1, 1, 29, 4, 1, 7, 0], [1, 1, 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": false, "label": "841.2.d.k", "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": "29.2.e.a", "prim_orbit_index": 4, "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c7", "self_twist_discs": [], "self_twist_type": 0, "space_label": "841.2.d", "trace_display": [0, 0, 2, 20], "traces": [24, 0, 0, -12, 2, -8, 20, 0, -36, 0, 0, 0, 10, 0, 0, 32, 0, 0, 0, 62, 0, 50, -24, 62, -30, 0, 0, -24, 0, 4, 0, 0, 6, 40, 18, 32, 0, 14, 0, 0, 0, 40, 0, 0, -10, 0, 0, 0, -44, 0, -12, 30, 8, 22, 0, 0, 28, 0, 88, 0, 0, 24, -72, -88, 58, 0, -52, 0, 0, 0, -56, 0, 0, -42, 0, 0, 0, -8, 0, -58, -54, 44, -60, 0, 0, 88, 0, -132, 0, 0, 34, 12, 46, -106, 0, 108, 0, 0, 0, 78, 0, 0, -40, 0, 0, 0, -16, 0, -36, 24, -56, -20, 0, 0, 12, 0, -148, 0, 0, -38, 52, 20, -44, 0, 26, 0, 0, 0, -60, 0, 0, 102, 0, 0, 0, -100, 0, 22, -16, -30, 22, 0, 0, -216, 0, 84, 0, 0, -10, -4, 16, -42, 0, -40, 0, 0, 0, -108, 0, 0, -76, 0, 0, 0, -66, 0, -104, 124, -134, 120, 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176, -160, 0, 276, 0, 0, 0, 100, 0, 0, 332, 0, 0, 0, -306, 0, -84, -270, -116, -384, 0, 0, -72, 0, 320, 0, 0, -28, 196, 38, -314, 0, 30, 0, 0, 0, 220, 0, 0, -228, 0, 0, 0, -160, 0, 68, -102, -184, -220, 0, 0, 384, 0, -236, 0, 0, -246, -188, 26, 64, 0, 112, 0, 0, 0, -392, 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}