# Stored data for newform 186.2.p.a, downloaded from the LMFDB on 23 May 2024.
{"Nk2": 744, "analytic_conductor": 1.4852174775958151, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 93, "char_degree": 8, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 16, "char_orbit_label": "p", "char_order": 30, "char_parity": 1, "char_values": [186, 30, [125, 127], [15, 23]], "cm_discs": [], "conrey_index": 11, "dim": 80, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1030825705658, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 31, 8, -1, 30, 0], [1, 1, 93, 16, 1, 30, 0]], "is_cm": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "186.2.p.a", "level": 186, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [2, 3, 31], "level_radical": 186, "minimal_twist": "186.2.p.a", "prim_orbit_index": 16, "related_objects": [], "relative_dim": 10, "rm_discs": [], "sato_tate_group": "1.2.3.c30", "self_twist_discs": [], "self_twist_type": 0, "space_label": "186.2.p", "trace_display": [0, 0, 0, 8], "traces": [80, 0, 0, 20, 0, 0, 8, 0, 4, -4, 0, 0, 0, 0, -10, -20, 0, -8, -4, 0, 30, -2, 0, 0, 12, 0, 0, -38, 0, 0, -86, 0, 0, -28, 0, -4, -144, 0, -16, -6, 0, -6, 40, 0, -24, -20, 0, 10, -14, 0, -92, 0, 0, 0, -92, 0, -96, 20, 0, -10, 0, 0, 88, 20, 0, 12, 40, 0, -60, 24, 0, 8, 56, 0, -30, -36, 0, 32, 32, 0, 128, 36, 0, 10, 100, 0, 34, 42, 0, 34, 60, 0, 172, 24, 0, 0, -4, 0, 150, 118, 0, 108, 138, 0, -54, 36, 0, 20, 56, 0, 122, -22, 0, 12, -96, 0, -12, -22, 0, 0, -14, 0, 0, -14, 0, 18, -44, 0, -66, -24, 0, -20, -40, 0, -38, 8, 0, -12, 0, 0, -154, -60, 0, 4, -104, 0, -240, -36, 0, -162, -30, 0, -130, 0, 0, -64, 72, 0, 8, -4, 0, -256, 88, 0, -204, 6, 0, 26, 182, 0, -80, 0, 0, 4, 96, 0, -6, 60, 0, -16, 48, 0, 132, -20, 0, -14, -360, 0, 118, -80, 0, 0, -102, 0, 8, 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-56, 0, -428, 392, 0, -78, -72, 0, -16, 320, 0, 18, -160, 0, -50, 322, 0, -46, 140, 0, -194, -156, 0, 312, -110, 0, -308, -200, 0, -52, -136, 0, -36, -232, 0, -196, -156, 0, -6, -36, 0, -210, -356, 0, -68, -356, 0, -38, -216, 0, 16, 116, 0, 600, -52, 0, 0, -546, 0, 18, -134, 0, 216, 0, 0, 270, -714, 0, 100, 272, 0, 448, -40, 0, 360, -832, 0, 64, 154, 0, -20, 400, 0, 276, 280, 0, 220, 0, 0, 404, -84, 0, -2, -4, 0, 540, 32], "weight": 2, "weight_parity": 1, "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}