# Stored data for newform 300.2.x.a, downloaded from the LMFDB on 25 February 2021.
{"level_primes": [2, 3, 5], "sato_tate_group": "1.2.3.c20", "rm_discs": [], "conrey_indexes": [17, 53, 77, 113, 137, 173, 197, 233], "cm_discs": [], "level_radical": 30, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 12, "is_cm": false, "hecke_orbit": 1, "analytic_conductor": 2.3955120606384117, "inner_twist_count": 4, "is_rm": false, "char_order": 20, "level_is_square": false, "weight_parity": 1, "label": "300.2.x.a", "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "300.2.x.a", "dim": 80, "traces": [80, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 12, 0, 10, 0, 0, 0, 20, 0, 0, 0, 0, 0, 40, 0, -14, 0, 0, 0, 0, 0, -20, 0, 0, 0, 12, 0, -40, 0, 0, 0, 12, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, -98, 0, 0, 0, -36, 0, -70, 0, 0, 0, -44, 0, -90, 0, 0, 0, -40, 0, 20, 0, 0, 0, -100, 0, -70, 0, 0, 0, 0, 0, -18, 0, 0, 0, -56, 0, 0, 0, 0, 0, -124, 0, 30, 0, 0, 0, -40, 0, 30, 0, 0, 0, -20, 0, 114, 0, 0, 0, 20, 0, 130, 0, 0, 0, 72, 0, 150, 0, 0, 0, 88, 0, 180, 0, 0, 0, 80, 0, 10, 0, 0, 0, 120, 0, 200, 0, 0, 0, -40, 0, 160, 0, 0, 0, 104, 0, 140, 0, 0, 0, 192, 0, 120, 0, 0, 0, 160, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 40, 0, -80, 0, 0, 0, 72, 0, -60, 0, 0, 0, 0, 0, 20, 0, 0, 0, -140, 0, -110, 0, 0, 0, 0, 0, -180, 0, 0, 0, -144, 0, -100, 0, 0, 0, -308, 0, -180, 0, 0, 0, -300, 0, 20, 0, 0, 0, -220, 0, -88, 0, 0, 0, -120, 0, -52, 0, 0, 0, -284, 0, 0, 0, 0, 0, -240, 0, 80, 0, 0, 0, -360, 0, -20, 0, 0, 0, -140, 0, 170, 0, 0, 0, -60, 0, 218, 0, 0, 0, -196, 0, 270, 0, 0, 0, 12, 0, 210, 0, 0, 0, 80, 0, -60, 0, 0, 0, 60, 0, 190, 0, 0, 0, 0, 0, 200, 0, 0, 0, 244, 0, 10, 0, 0, 0, 172, 0, 60, 0, 0, 0, 320, 0, 20, 0, 0, 0, 140, 0, -116, 0, 0, 0, -40, 0, -224, 0, 0, 0, 264, 0, -310, 0, 0, 0, 108, 0, -350, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, -460, 0, 0, 0, -40, 0, -362, 0, 0, 0, -116, 0, -350, 0, 0, 0, -68, 0, -280, 0, 0, 0, -120, 0, -70, 0, 0, 0, -200, 0, -146, 0, 0, 0, -60, 0, -60, 0, 0, 0, -136, 0, 0, 0, 0, 0, -12, 0, 40, 0, 0, 0, -40, 0, -90, 0, 0, 0, 180, 0, 282, 0, 0, 0, -80, 0, 280, 0, 0, 0, 296, 0, 420, 0, 0, 0, 392, 0, 370, 0, 0, 0, 500, 0, -60, 0, 0, 0, 400, 0, 410, 0, 0, 0, -40, 0, 342, 0, 0, 0, 692, 0, 280, 0, 0, 0, 476, 0, 270, 0, 0, 0, 620, 0, -140, 0, 0, 0, 560, 0, 100, 0, 0, 0, -120, 0, -70, 0, 0, 0, 344, 0, -60, 0, 0, 0, 260, 0, -260, 0, 0, 0, 0, 0, -20, 0, 0, 0, -60, 0, -370, 0, 0, 0, 80, 0, -298, 0, 0, 0, -360, 0, -360, 0, 0, 0, -268, 0, -290, 0, 0, 0, -280, 0, -80, 0, 0, 0, -680, 0, -190, 0, 0, 0, 120, 0, -178, 0, 0, 0, -428, 0, 0, 0, 0, 0, -556, 0, 0, 0, 0, 0, -320, 0, 20, 0, 0, 0, -180, 0, 154, 0, 0, 0, 0, 0, 340, 0, 0, 0, -16, 0, 180, 0, 0, 0, -20, 0, 320, 0, 0, 0, -120, 0, 0, 0, 0, 0, 280, 0, 254, 0, 0, 0, 120, 0, 62, 0, 0, 0, -28, 0, 100, 0, 0, 0, 316, 0, -80, 0, 0, 0, 80, 0, -40, 0, 0, 0, 100, 0, -320, 0, 0, 0, 180, 0, -288, 0, 0, 0, -120, 0, -460, 0, 0, 0, -224, 0, -480, 0, 0, 0, 0, 0, 120, 0, 0, 0, -500, 0, -478, 0, 0, 0, 180, 0, -570, 0, 0, 0, -280, 0, -580, 0, 0, 0, -684, 0, -420, 0, 0, 0, -640, 0, -20, 0, 0, 0, -220, 0, -246, 0, 0, 0, 120, 0, -160, 0, 0, 0, -420, 0, 0, 0, 0, 0, -336, 0, 200, 0, 0, 0, -340, 0, 180, 0, 0, 0, -100, 0, 380, 0, 0, 0, 160, 0, 392, 0, 0, 0, -116, 0, 570, 0, 0, 0, 356, 0, 580, 0, 0, 0, 200, 0, 180, 0, 0, 0, 300, 0, 510, 0, 0, 0, 40, 0, 480, 0, 0, 0, 364, 0, 630, 0, 0, 0, 348, 0, 460, 0, 0, 0, 520, 0, 180, 0, 0, 0, 140, 0, 128, 0, 0, 0, 160, 0, 170, 0, 0, 0, 304, 0, 10, 0, 0, 0, 8, 0, -10, 0, 0, 0, 0, 0, 80, 0, 0, 0, 80, 0, -190, 0, 0, 0, -40, 0, -224, 0, 0, 0, -264, 0, -240, 0, 0, 0, -268, 0, -310, 0, 0, 0, -580, 0, 190, 0, 0, 0, -460, 0, -16, 0, 0, 0, -20, 0, 200, 0, 0, 0, -696, 0, 0, 0, 0, 0, -408, 0, 210, 0, 0, 0, -40, 0, 130, 0, 0, 0, -640, 0, 316, 0, 0, 0, 80, 0, 152, 0, 0, 0, 24, 0, 340, 0, 0, 0, -28, 0, 440, 0, 0, 0, 260, 0, 110, 0, 0, 0, 480, 0, 180, 0, 0, 0, 0, 0, 248, 0, 0, 0, 732, 0, 90, 0, 0, 0, 420, 0, -40, 0, 0, 0, 420, 0, 230, 0, 0, 0, 680, 0, -38, 0, 0, 0, 40, 0, -250, 0, 0, 0, 64, 0, -350, 0, 0, 0, 440, 0, -670, 0, 0, 0, 0, 0, 60, 0, 0, 0, 220, 0, -590, 0, 0, 0, -200, 0, -570, 0, 0, 0, -28, 0, -470, 0, 0, 0, -296, 0, -390, 0, 0, 0, -60, 0, 160, 0, 0, 0, -420, 0, -340, 0, 0, 0, -40, 0, -134, 0, 0, 0, 52, 0, 0, 0], "has_non_self_twist": 1, "char_values": [300, 20, [151, 101, 277], [20, 10, 13]], "Nk2": 1200, "analytic_rank": 0, "char_orbit_label": "x", "weight": 2, "trace_display": [0, -2, 0, 4], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "level_is_prime": false, "char_is_minimal": true, "self_twist_discs": [], "char_is_real": false, "level_is_prime_power": false, "relative_dim": 10, "hecke_cutters": [], "space_label": "300.2.x", "level": 300, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 25, 6, -1, 20, 0], [1, 1, 75, 12, 1, 20, 0]], "char_degree": 8, "char_conductor": 75, "char_orbit_index": 24, "hecke_orbit_code": 1580581519660, "id": null, "is_polredabs": null, "trace_hash": null, "projective_field": null, "hecke_ring_index_proved": null, "embedded_related_objects": null, "field_disc_factorization": null, "field_poly_is_real_cyclotomic": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "trace_zratio": null, "hecke_ring_index_factorization": null, "artin_image": null, "nf_label": null, "field_poly": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "field_poly_root_of_unity": null, "hecke_ring_index": null, "artin_field": null, "qexp_display": null, "field_disc": null, "hecke_ring_generator_nbound": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "trace_moments": null, "artin_degree": null}