# Stored data for newform 430.2.g.b, downloaded from the LMFDB on 25 April 2024.
{"label": "430.2.g.b", "space_label": "430.2.g", "level": 430, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504011977785774, "dim": 40, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [10000, 0, 0, 0, 5813856, 0, 0, 0, 187003056, 0, 0, 0, 1548051240, 0, 0, 0, 3632377184, 0, 0, 0, 873086360, 0, 0, 0, 67158577, 0, 0, 0, 2295270, 0, 0, 0, 38851, 0, 0, 0, 318, 0, 0, 0, 1]]], "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 215, "char_orbit_label": "g", "char_is_real": false, "Nk2": 1720, "analytic_conductor": 3.4335672869150566, "level_radical": 430, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [430, 4, [87, 261], [1, 2]], "inner_twist_count": 4, "level_primes": [2, 5, 43], "conrey_indexes": [257, 343], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 20, "sato_tate_group": "1.2.3.c4", "trace_display": [0, 0, 0, 0], "traces": [40, 0, 0, 0, 0, 0, 0, 0, 0, -8, 16, 0, -24, 0, 8, -40, -12, 0, 0, 0, -16, 0, 44, 0, 24, 0, 0, 0, 0, 0, 32, 0, 0, 0, -64, 48, 0, -28, 0, -4, 8, 0, -16, 0, 0, 0, -28, 0, 0, 0, 0, 24, -80, 0, 0, 24, 64, 12, 0, 0, 0, 0, 0, 0, 0, 0, 24, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, -120, 0, 48, 0, 0, 0, 28, 0, 0, 0, 0, -44, 0, 0, -16, 0, -60, 0, 0, -12, 144, -20, 12, 0, 0, 0, -8, 0, 0, 96, -64, 0, 0, 0, 0, 0, -128, 0, 0, 0, -56, -32, 0, 0, 0, -136, 76, 0, 0, -24, 0, 0, 80, 0, 76, 0, 0, 72, 0, -48, 0, 48, -120, 0, 36, -24, 0, 0, 0, -20, 0, 28, -76, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -136, 0, 64, 0, 0, -44, 0, 16, 64, 0, 0, -16, 0, -64, 0, 0, 112, 48, 56, 0, -24, -128, -144, -28, 0, 0, 0, 0, 60, 0, -24, -48, 104, 0, 0, 0, 0, 0, -48, 0, 0, 0, 120, 24, 0, 128, 0, 80, 176, 0, 40, 0, 0, 0, 0, 0, 64, 0, 0, 0, 156, 24, 0, 64, 0, 96, 80, -12, 0, 0, 0, -16, 0, 8, 0, -8, 0, 0, 0, 0, 0, 288, 0, 0, 0, -28, -192, 0, -64, 0, -52, 40, 0, 72, 0, 0, 0, -44, 0, 0, 0, 0, -248, 24, 0, 0, -128, 12, -152, 0, 24, 0, 0, 0, 0, 0, -144, 132, -232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 8, 0, 68, 0, 0, -32, -80, 0, 0, 4, 0, -224, 0, 0, -80, 24, -40, 0, 0, 312, 8, 96, -240, 0, 0, 0, 32, 0, 0, 64, -56, 0, 0, 0, 0, 0, -48, 0, 0, 0, 16, 148, 0, 0, 0, 240, -160, 0, 0, -96, 0, 0, 28, 0, -120, 0, 0, 64, 0, -224, 0, -168, 44, 0, 40, 0, 0, 0, 0, -272, 0, -68, -44, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 4, 0, 72, 0, 0, -144, 0, 120, -60, 0, 0, 520, 0, -4, 0, 0, 0, 264, 88, 0, -24, -72, -112, 16, 0, 0, 0, 0, -20, 0, -76, -176, -12, 0, 0, 0, 0, 0, -24, 0, 0, 0, -20, 108, 0, 84, 0, 104, -8, 0, -40, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 264, 0, -80, 0, -16, -80, 116, 0, 0, 0, -16, 0, 120, 0, 304, 0, 0, 0, 0, 0, 144, 0, 0, 0, -16, 80, 0, -128, 0, -68, -64, 0, -200, 0, 0, 0, -384, 0, 0, 0, 0, 64, -56, 0, 0, -240, 156, -32, 0, 332, 0, 0, 0, 0, 0, -32, 216, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, -376, 0, 124, 0, 0, -8, 200, 0, 0, 32, 0, -84, 0, 0, -184, -8, -396, 0, 0, -128, 272, -80, -64, 0, 0, 0, -80, 0, 0, 176, -304, 0, 0, 0, 0, 0, -184, 0, 0, 0, -192, -72, 0, 0, 0, -80, -24, 0, 0, 64, 0, 0, 48, 0, -16, 0, 0, 48, 0, -12, 0, 120, -504, 0, -116, -48, 0, 0, 0, -12, 0, 144, -24, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, -96, 0, 304, 0, 0, -112, 0, 16, 264, 0, 0, 48, 0, 28, 0, 0, 336, 76, -136, 0, -20, -32, -84, -136, 0, 0, 0, 0, 128, 0, -132, 48, 152, 0, 0, 0, 0, 0, 332, 0, 0, 0, 40, -32, 0, 4, 0, 272, 144, 0, 400, 184, 0, 0, 0, 0, 352, 0, 0, 0, 260, -8, 0, 216, 0, -32, -320, 104, 0, 0, 0, -216, 0, 64, 0, -144, 0, 0, 0, 0, 0, 128, 0, 0, 0, 44, -384, 0, -40, 0, 24, 456, 0, 16, 0, 0, 0, -64, 0, 0, 0, 0, -264, 44, 0, 0, 160, 256, 360, 0, 32, 0, 0, 0, 0, 0, 120, 64, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, -128, 0, 48, 0, 0, 80, -56, 0, 0, -488, 0, -448, 0, 0, -32, -448, -376, 0, 0, 276, 144, 424, -144, 0, 0, 0, 28, 0, 0, 304, 32, 0, 0, 0, 0, 0, -364, 0, 0, 0, 136, 48, 0, 0, 0, -64, -60, 0, 0, -112, 0, 0, 112, 0, 64, 0, 0, 244, 0, -160, 0, 224, 104, 0, 136, -600, 0, 0, 0, 72, 0, 168, -536, 0, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, 80, 0, 48, 0, 0, 188, 0, 100, -24, 0, 0, 368, 0, -112, 0, 0, -112, -8, 120, 0, -272, -592, -24, 140, 0, 0, 0, 0, 64, 0, -56, -272, 116, 0, 0, 0, 0, 0, 80, 0, 0, 0, -176, 144, 0, -52, 0, -348, 80, 0, 4, -160, 0, 0, 0, 0, 184, 0, 0, 0, -236, 264, 0, -184, 0, 32, 80, 264, 0, 0, 0, 232, 0, 8, 0, 656, 0, 0, 0, 0, 0, 208, 0, 0, 0, -212, -24, 0, -440, 0, -120, 256, 0, -256, 0, 0, 0, -440, 0, 0, 0, 0, -64, -104, 0, 0, -304, 208, 100, 0, 124, 0, 0, 0, 0, 0, -40, 632, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, -304, 0, -212, 0, 0, -160, 288, 0, 0, -20, 0, -8, 0, 0, -56, -32, -352, 0, 0, 0, 440, 64, -208, 0, 0, 0, -540, 0, 0, 444, -368, 0, 0, 0, 0, 0, -236, 0, 0, 0, 144, -236, 0, 0, 0, 40, -128, 0, 0, 264, 0, 0, 320, 0, -544, 0, 0, 92, 0, 112], "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, 5, 3, -1, 4, 0], [1, 1, 43, 2, -1, 2, 0], [1, 1, 215, 7, 1, 4, 0]], "char_orbit_index": 7, "prim_orbit_index": 7, "minimal_twist": "430.2.g.b", "char_is_minimal": true, "conrey_index": 257, "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}