# Stored data for newform 930.2.e.b, downloaded from the LMFDB on 19 April 2024. {"label": "930.2.e.b", "space_label": "930.2.e", "level": 930, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503874538832802, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[47, [55296, 10752, -268088, -12776, 15056, 252, -234, -1, 1]]], "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 465, "char_orbit_label": "e", "char_is_real": true, "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, 2, [311, 187, 871], [1, 1, 1]], "inner_twist_count": 4, "level_primes": [2, 3, 5, 31], "conrey_indexes": [929], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 32, "sato_tate_group": "1.2.3.c2", "trace_display": [32, 0, -2, 0], "traces": [32, 32, 0, 32, -2, 0, 0, 32, 4, -2, 0, 0, 0, 0, 0, 32, 0, 4, 8, -2, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -12, 32, 8, 0, -16, 4, 0, 8, -4, -2, 0, 0, 0, 0, -42, 0, 4, 0, -36, 10, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 24, 32, 0, 8, 0, 0, -8, -16, 0, 4, 0, 0, 0, 8, 0, -4, 0, -2, 24, 0, 0, 0, 0, 0, 4, 0, 0, -42, 0, 0, -24, 4, 26, 0, 0, -36, 0, 10, 0, -4, 0, 0, 0, 0, -60, 0, -24, 0, -28, 0, 28, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, -12, -8, 24, 0, 32, -16, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, -16, 0, 0, -76, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -36, -4, 0, 0, -36, -2, 0, 24, 0, 0, -6, 0, 0, 0, -20, 0, -80, 0, -84, 4, 4, 0, 0, 0, 0, -42, 0, 0, 16, 0, 0, -24, 0, 4, 0, 26, 0, 0, 0, 0, -94, -36, 0, 0, 0, 10, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 124, 0, 0, -60, 0, 0, 0, -24, -12, 0, 0, -28, 0, 0, 30, 28, -44, 0, 0, 0, 24, 0, 36, 0, -58, 0, 68, 0, 0, 0, 0, 32, 0, 0, 74, 0, 0, -12, -16, -8, 0, 24, 0, 0, -106, 32, -12, -16, 0, 0, 0, 0, 0, 8, 0, 0, -76, 0, 0, 0, 0, 0, 136, 0, 0, -8, 0, 0, -56, -16, 0, 0, 0, 0, 0, -76, -88, 4, -68, 0, 0, 0, 88, 0, -28, 0, -64, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -36, 0, -4, 0, 0, 48, 0, -140, -36, -184, -2, 0, 0, 0, 24, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 90, 0, 0, -20, 0, 0, 0, -80, 0, 0, 108, -84, 0, 4, 72, 4, 108, 0, 0, 0, 42, 0, -88, 0, 0, -42, 200, 0, 0, 0, 0, 16, 0, 0, 120, 0, 0, -24, 0, 0, 0, 4, 56, 0, -56, 26, -72, 0, 0, 0, 0, 0, 0, 0, 0, -94, 16, -36, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 158, 0, 40, -4, 0, -4, 24, 0, 0, 0, 0, 0, 132, 0, 0, 0, 24, 124, -28, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 16, -24, 0, -12, 88, 0, 8, 0, -244, -28, 0, 0, 0, 0, 0, 30, 0, 28, 196, -44, 0, 0, 0, 0, 164, 0, 0, 24, 0, 0, 178, 36, 16, 0, 168, -58, 0, 0, 76, 68, -38, 0, 0, 0, 0, 0, 80, 0, 260, 32, 34, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, -12, 204, -16, 0, -8, 64, 0, -52, 24, 44, 0, 0, 0, 0, -106, 0, 32, 0, -12, 152, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 8, 92, 0, 168, 0, 0, -76, -100, 0, 116, 0, 0, 0, -96, 0, -140, 0, 92, 136, 0, 0, 0, 0, 0, -8, 0, 0, -132, 0, 0, -56, 104, -16, 0, 0, 88, 0, 40, 0, -208, 0, 0, 0, 0, -76, 0, -88, 0, 4, 0, -68, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 112, -28, -124, 0, 136, -64, 0, 0, 188, 0, 0, 0, 0, 0, -104, 0, -128, 0, 0, 8, 304, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, -36, 48, 0, 0, -4, 26, 0, 92, 0, 0, 48, 0, 0, 0, -140, 0, -36, 0, -184, -56, -2, 0, 0, 0, 0, -180, 0, 0, 24, 0, 0, -76, 0, -4, 0, 140, 0, 0, 0, 0, -6, -320, 0, 0, 0, 216, 0, 0, 0, -96, 90, 0, 0, 0, 0, 0, -20, 0, 0, -264, 0, 0, 0, -172, -80, 0, 0, -104, 0, 0, 108, 80, -84, 0, 0, 0, 4, 0, 72, 0, 4, 0, 108, 0, 0, 0, 0, 172, 0, 0, 42, 0, 0, 100, -88, -238, 0, -56, 0, 0, -42, -96, 200, -168, 0, 0, 0, 0, 0, 124, 0, 0, 16, 0, 0, 0, 0, 0, 120, 0, 0, -192, 0, 0, -24, 54, 0, 0, 0, 0, 0, -208, 4, 244, 56, 0, 0, 0, -56, 0, 26, 0, -72, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, -120, 0, 16, 0, 0, -94, 0, 16, -148, -36, -96, 0, 0, 0, 112, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 10, 0, 0, -108, 0, 0, 0, -276, 0, 0, 158, -116, 0, -108, 40, -2, -4, 0, 0, 0, -4, 0, 24, 0, 0, -142, 0, 0, 0, 0, 0, -44, 0, 0, 132, 0, 0, -24, 0, 0, 0, -224, 24, 0, 124, 36, -28, 0, 0, 0, 0, 0, 0, 0, 0, 50, -60, -16, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 16, 0, -24, -8, 0, 68, -12, 0, 88, 0, 0, 0, 8, 0, 0, 0, -244, -72, -28, 0, 0, 0, 0, -340, 0, 0, 0, 0, 0, 0, 30, 128, 0, -296, 28, 0, 196, 0, -44, -152, 0, 0, 0, 0, 0, 186, 0, -16, 164, -344, 0, 0, 0, 0, 24, 0, 0, -56, 0, 0, 178, -92, 36, 0, 16, -82, 0, 0, 168, 264, -58, 0, 0, 0, 0, 0, 76, 0, 68, 160, -38, 0, 0, 0, 0, 236, 0, 0, 0, 0, 0, 8, 80, -52, 0, -430, 260, 0, 32, -212, 34, 0, 0, 0, 0, -242, 0, 104, 0, 236, 74, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 308, 204, 0, -16, 0, 0, -4, -8], "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, 2, -1, 2, 0], [1, 1, 465, 7, 1, 2, 0]], "char_orbit_index": 5, "prim_orbit_index": 7, "minimal_twist": "930.2.e.a", "char_is_minimal": true, "conrey_index": 929, "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}