# Stored data for newform 462.2.u.a, downloaded from the LMFDB on 24 April 2024.
{"label": "462.2.u.a", "space_label": "462.2.u", "level": 462, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1374423089614, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [885481, 9955780, -70440875, -668226190, 4721905940, -4220443050, 2503163357, -4986562870, 7330752159, -4867949950, 1154074765, -176950870, 671337979, -459659400, -103450864, 225376620, -47358924, -43187730, 21054758, 3467180, -3732957, -156540, 511836, 8700, -59485, -1010, 6288, 340, -521, -80, 27, 10, 1]]], "char_order": 10, "char_parity": 1, "char_degree": 4, "char_conductor": 77, "char_orbit_label": "u", "char_is_real": false, "Nk2": 1848, "analytic_conductor": 3.6890885733831538, "level_radical": 462, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [462, 10, [155, 199, 211], [10, 5, 1]], "inner_twist_count": 2, "level_primes": [2, 3, 7, 11], "conrey_indexes": [13, 139, 349, 391], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c10", "trace_display": [0, 0, -10, -10], "traces": [32, 0, 0, 8, -10, 8, -10, 0, 8, -4, 8, 0, 0, -2, 6, -8, 12, 0, 16, -10, 8, -4, 8, -8, 6, 0, 0, 0, 20, 0, 50, 0, 16, 0, 32, -8, -16, 0, 0, -6, -40, -10, 0, 12, 0, 0, 0, 0, -28, 0, 40, 0, 0, 32, 40, -8, 0, 10, -60, 4, 4, -20, -10, 8, 0, -8, -16, -12, -30, -18, -48, 0, 74, -40, 0, 24, -70, 0, -60, 0, -8, -20, -4, 2, -10, -36, -20, -16, 0, 4, -60, -8, -10, 0, -20, 8, -60, 40, -8, 24, -6, -2, 0, 0, 22, 20, -40, 0, 0, 58, 0, 10, 40, -16, 0, 0, 0, -68, 8, 0, 6, 0, 20, 20, 50, 2, -60, 0, 24, 92, 0, 14, 24, -60, -6, -40, 60, 12, -36, 48, 0, 0, -72, -32, -122, -80, 40, -34, -80, -6, 50, 0, 28, -22, -88, 0, 80, 40, -10, -4, 30, 0, 8, -20, -72, 0, -16, 10, 40, -24, 4, 0, 102, 0, 24, 8, 12, 0, -44, 0, 120, 52, 0, 30, 60, 0, 116, 0, 2, 10, 92, 0, 20, 0, -68, -52, 0, 4, 0, 0, 0, 50, -68, 0, 90, 46, 12, 0, 168, 28, -60, 20, 20, 6, 40, 8, -86, 0, 0, -40, -48, -34, -190, -2, -6, 20, 88, -10, 0, 0, -22, 20, 100, 0, 20, 60, -40, 22, 80, -4, -116, -8, 0, -4, -36, 40, -84, 10, -30, 58, -120, -10, 124, 0, -24, -8, -10, 20, 8, 60, 20, -50, 0, 8, 0, 116, 20, -24, -120, -10, -80, 2, -8, 0, 8, 0, 20, 10, -20, -22, 60, 0, 100, 48, -40, 104, 36, 0, -56, 0, 0, 76, -32, -22, -22, 0, -6, 28, -176, 0, -8, 8, 100, 16, 20, 0, 200, -60, 76, 70, 220, 0, 20, -12, -32, -10, 112, -40, -106, 0, 6, 40, -84, 8, -4, 0, -20, -20, 40, 30, 8, 4, 16, -20, 300, -2, 120, 40, -20, 0, 64, 0, 122, -24, -50, -110, 60, -10, -216, 6, 0, -14, 0, -60, 100, 50, -48, -10, -140, 6, -38, -40, 112, -40, -200, -24, -70, -12, -30, -96, 68, 10, 0, -72, -72, 0, -220, -10, -88, -80, 80, -140, 40, 32, -198, 128, -20, -10, -76, -20, -36, -40, -60, -76, 32, -12, 0, -16, -84, 6, 4, 16, 0, -44, 10, 36, -12, -28, -24, -172, -20, 70, 16, -30, -160, 0, 0, 56, 0, 8, 86, 12, -40, 10, -86, -52, 56, 0, 24, 0, 60, 0, 80, -88, -120, -20, 156, 76, -92, 72, 18, -20, 4, -40, 46, 16, -72, -10, -40, 0, -204, 80, 8, -190, -148, -4, 40, 20, 40, 0, 208, 10, 84, 0, 80, 20, 20, 0, 204, -40, -12, -12, 72, 0, -52, 92, 20, 52, 24, 0, -60, -140, -60, -56, 184, 8, 96, 0, 140, -124, 100, 0, -20, 0, 60, 0, 92, 4, -96, -170, -20, 10, -332, -2, 0, 8, 0, -60, 20, -10, -168, 0, 10, 92, -48, -24, 428, -124, 110, 68, -120, 0, 128, -20, -64, 0, 0, -4, -132, -72, -60, 86, -96, 60, 78, 0, 10, 112, -352, -4, -230, 100, 20, 0, -80, 20, 60, -60, 56, -56, 0, -12, 92, -124, 44, 16, -20, 20, -80, -28, 18, -136, 124, 0, -100, 170, 0, -20, -220, 80, 0, -28, 0, 98, -48, -8, -270, 160, -72, -28, 88, 0, 126, 0, 20, -40, 200, 0, -90, -80, 94, 34, -172, 8, 156, -80, -46, 120, 228, 6, -220, 256, 16, 0, -314, 76, -96, 10, -14, -52, -60, 2, 250, 30, 8, 22, -296, -70, 220, 28, 0, -32, 384, 0, 32, -72, -44, 0, -58, 28, 206, 40, -8, 160, -108, -10, -120, -84, 8, 4, 96, -40, 360, -20, -120, 180, 160, 0, 152, 0, 152, -8, 184, -50, -70, -40, -74, 72, 0, 12, 0, 0, 80, 30, -118, 20, 260, 36, 16, 64, 440, 10, 200, 104, 0, 0, -48, -40, 108, 24, 0, -188, 8, -4, -360, -58, 40, -20, 148, -60, 60, 68, -30, -40, 200, -20, 30, 20, 40, -54, 40, 0, -144, -8, 0, -24, 160, 68, -30, -28, 10, -20, -70, 72, -44, 24, 52, -32, -100, 10, 140, 240, 80, 120, 0, 64, 0, 8, 8, -28, -400, -40, -112, -132, 106, 0, -204, 0, 0, 150, 200, -4, 240, 20, 194, 44, -16, 124, -20, 170, -108, 0, -20, -176, -344, -2, -116, 0, -152, 40, 20, -80, 76, 68, 10, 16, -80, 0, 92, -144, 72, 20, 60, -24, 90, 0, -44, -60, 68, 48, 80, 0, 0, 22, -84, 20, 84, 0, 10, -90, -12, 6, 80, 28, 68, 70, 310, -64, -340, 0, -60, 0, 68, 0, 142, -52, -128, -100, -160, 6, -196, -192, 0, 202, 0, 0, -140, 100, 20, 40, -360, 20, -156, -76, 104, -90, -20, 8, 60, -200, 116, 0, 354, 16, 0, -68, -60, -40, -420, 32, 150, -140, -36, -60, -10, 0, -466, 40, -170, 300, -104, 20, -16, 136, -20, -6, -144, -8, 0, -40, 68, 32, -88, -8, -240, -48, -160, -114, 96, -188, 208, 20, 10, 260, -112, -80, 260, -190, 0, -30, 0, 40, 148, -12, -80, -10, 88, -16, 28, 0, -12, 0, 80, -60, 140, 2, -100, 20, 264, 6, -96, 312, 16, 20, 56, 50, -232, 72, -44, 40, 36, 0, -376, 32, -52, -80, -144, 12, 220, 50, 120, 80, -32, -18, -4, 200, 0, 10, 280, -72, 0, 120, -32, 28, 284, 0, -154, 152, 48, 80, 88, 80, -52, 60, -32, 8, 104, 40, 68, 30, 220, 48, 0, 20, 120, 0, -44, 0, -408, -6, -84, 60, 60, -124, -326, 0, 0, -112, 0, -170, -180, 0, -320, -20, 280, 24, -216, 32, 440, -124, 50, -26, 20, 30, -162, -256, -68, 84, 0, -28, -180, -10, -60, -196, 236, 60, 156, -60, -20, 72], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 77, 12, 1, 10, 0]], "char_orbit_index": 21, "prim_orbit_index": 12, "minimal_twist": "462.2.u.a", "char_is_minimal": true, "conrey_index": 13, "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}