# Stored data for newform 930.2.r.b, downloaded from the LMFDB on 25 April 2024. {"label": "930.2.r.b", "space_label": "930.2.r", "level": 930, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504767892030370, "dim": 64, "analytic_rank": 0, "is_twist_minimal": true, "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 465, "char_orbit_label": "r", "char_is_real": false, "Nk2": 3720, "analytic_conductor": 7.426087387979075, "level_radical": 930, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [930, 6, [311, 187, 871], [3, 3, 1]], "inner_twist_count": 4, "level_primes": [2, 3, 5, 31], "conrey_indexes": [119, 719], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 32, "sato_tate_group": "1.2.3.c6", "trace_display": [64, 0, 2, 0], "traces": [64, 64, 0, 64, 2, 0, 0, 64, -4, 2, 0, 0, 0, 0, 0, 64, 6, -4, 4, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 18, 64, -8, 6, 16, -4, 0, 4, -8, 2, 0, 0, 0, 0, 9, 0, -4, 0, 30, 2, -8, 0, -6, 0, 0, 0, 6, 0, 0, 0, 0, 18, 12, 64, 0, -8, 0, 6, -10, 16, 0, -4, 0, 0, -63, 4, 0, -8, -30, 2, -12, 0, -54, 0, 0, 0, -16, 0, 0, 9, 0, 0, -18, -4, -56, 0, 0, 30, -102, 2, 0, -8, 0, 0, -21, -6, -30, 0, 0, 0, -2, 0, 2, 6, 42, 0, 18, 0, 0, 0, -20, 0, 0, 18, -52, 12, 0, 64, 28, 0, 0, -8, 0, 0, -108, 6, -66, -10, 0, 16, -48, 0, -20, -4, 24, 0, 0, 0, 0, -63, 0, 4, 0, 0, -90, -8, 0, -30, -96, 2, 0, -12, 0, 0, -15, -54, -168, 0, 8, 0, -64, 0, 18, -16, -4, 0, 102, 0, 0, 9, 24, 0, 2, 0, 0, -18, 0, -4, -114, -56, 0, 0, 0, 0, -11, 30, 12, -102, -150, 2, 0, 0, -138, -8, -20, 0, -66, 0, 0, -21, 56, -6, 0, -30, 0, 0, 0, 0, -72, 0, 0, -2, 0, 0, 126, 2, 26, 6, -24, 42, -60, 0, -12, 18, 10, 0, 10, 0, 0, 0, 18, -20, 120, 0, -32, 0, 0, 18, 64, -52, 0, 12, 0, 0, -5, 64, -18, 28, -24, 0, -24, 0, 0, -8, -60, 0, -44, 0, 0, -108, 0, 6, 92, -66, 0, -10, 0, 0, -34, 16, 0, -48, 0, 0, 75, -20, -80, -4, -10, 24, -18, 0, 38, 0, -92, 0, 94, 0, 0, -63, 60, 0, 0, 4, 126, 0, 0, 0, 0, -90, 0, -8, 0, 0, -9, -30, -10, -96, 106, 2, 66, 0, -12, -12, 0, 0, -192, 0, 0, -15, 60, -54, 0, -168, 66, 0, 0, 8, 0, 0, 0, -64, 0, 0, 144, 18, -54, -16, 72, -4, -18, 0, 138, 102, -96, 0, 100, 0, 0, 9, -32, 24, 12, 0, -36, 2, 0, 0, 90, 0, 0, -18, 0, 0, 90, -4, 16, -114, 68, -56, 96, 0, -90, 0, 144, 0, 0, 0, 0, -11, 2, 30, 108, 12, 0, -102, 0, -150, 0, 2, 0, 0, 0, 0, 106, -138, -220, -8, 204, -20, 108, 0, -102, -66, 96, 0, 90, 0, 0, -21, 60, 56, 16, -6, 174, 0, 0, -30, 138, 0, 0, 0, 0, 0, 224, 0, 48, -72, -100, 0, 136, 0, 40, -2, 60, 0, 42, 0, 0, 126, 48, 2, 44, 26, 66, 6, 0, -24, -2, 42, 0, -60, 0, 0, 272, -12, 116, 18, 96, 10, 228, 0, 164, 10, -52, 0, 294, 0, 0, 0, -32, 18, -80, -20, -28, 120, 0, 0, 204, -32, 0, 0, 0, 0, 0, 18, 48, 64, 156, -52, 38, 0, 40, 12, 22, 0, -18, 0, 0, -5, 0, 64, 330, -18, -68, 28, 0, -24, 0, 0, 0, -24, 0, 0, 0, 0, 98, -8, -20, -60, -36, 0, 372, -44, 16, 0, -50, 0, 0, -108, 72, 0, -88, 6, 58, 92, 0, -66, 138, 0, 0, -10, 0, 0, -9, 0, 0, -34, -152, 16, 240, 0, 38, -48, 62, 0, 10, 0, 0, 75, -36, -20, 0, -80, 90, -4, 0, -10, 114, 24, 0, -18, 0, 0, 0, 38, 0, 0, 140, -92, 172, 0, 56, 94, -42, 0, 28, 0, 0, -63, 78, 60, -130, 0, -16, 0, 0, 4, 74, 126, 0, 0, 0, 0, -339, 0, 126, 0, 0, -90, -108, 0, -48, -8, 118, 0, 10, 0, 0, -9, -228, -30, 138, -10, 0, -96, 0, 106, 2, 2, 0, 66, 0, 0, -9, -12, 0, -12, 0, 0, 112, 0, -140, -192, -356, 0, 216, 0, 0, -15, 104, 60, -456, -54, -6, 0, 0, -168, 42, 66, 0, 0, 0, 0, -144, 8, 6, 0, -210, 0, 0, 0, 76, -64, -156, 0, -46, 0, 0, 144, -164, 18, 156, -54, 162, -16, 0, 72, 156, -4, 0, -18, 0, 0, 0, 138, 242, 102, 0, -96, 0, 0, 176, 100, 40, 0, 140, 0, 0, 9, -300, -32, 84, 24, -120, 12, 0, 0, -76, -36, 0, 2, 0, 0, -324, 0, 6, 90, 24, 0, -66, 0, 0, -18, -132, 0, -216, 0, 0, 90, -260, -4, -34, 16, 204, -114, 0, 68, 0, -56, 0, 96, 0, 0, -291, -90, 0, 0, 14, 144, 0, 0, 0, 0, -168, 0, -304, 0, 0, -11, -324, 2, -368, 30, 126, 108, 0, 12, 38, 0, 0, -102, 0, 0, 19, -150, -354, 0, -462, 2, -102, 0, -60, 0, 0, 0, -336, 0, 0, 106, -76, -138, -120, -220, 56, -8, 0, 204, 222, -20, 0, 108, 0, 0, 259, -102, 168, -66, 0, 96, -34, 0, 0, 90, 0, 0, -60, 0, 0, -21, -196, 60, -444, 56, -348, 16, 0, -6, 234, 174, 0, 0, 0, 0, 25, -30, 106, 138, -168, 0, -378, 0, -342, 0, 132, 0, 0, 0, 0, 224, -360, 0, 8, 48, -158, -72, 0, -100, -48, 0, 0, 136, 0, 0, 87, 40, 6, -2, -342, 60, 0, 0, -224, 42, 0, 0, 0, 0, 0, 126, -416, 48, -448, 2, -60, 44, 0, 26, -22, 66, 0, 6, 0, 0, 12, -24, -296, -2, -40, 42, -222, 0, -132, -60, 30, 0, -160, 0, 0, 272, 464, -12, 114, 116, -134, 18, 0, 96, -150, 10, 0, 228, 0, 0, 0, 164, 624, 10, 20, -52, -126, 0, 0, 294, -146, 0, 0, 0, 0, 0, -50, -32, 88, 18, -224, -80, 0, -20, -136, -28, 0, 120, 0, 0, 59, 0, -224, 204, 16, -32, -28, 0, 36, 0, 162, 0, -108, 0, 0, 0, 0, 18, -32, 48, 78, 64, 0, 156, -200, -52], "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, 15, 4, -1, 2, 0], [1, 1, 31, 5, -1, 6, 0], [1, 1, 465, 20, 1, 6, 0]], "char_orbit_index": 18, "prim_orbit_index": 20, "minimal_twist": "930.2.r.a", "char_is_minimal": true, "conrey_index": 119, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "hecke_cutters": 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}