# Stored data for newform 930.2.s.d, downloaded from the LMFDB on 23 April 2024.
{"label": "930.2.s.d", "space_label": "930.2.s", "level": 930, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13512035866248098, "dim": 28, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [1336336, 0, -21835684, 0, 312216649, 0, -668898298, 0, 992660965, 0, -723541658, 0, 370013242, 0, -115770466, 0, 26113589, 0, -3858942, 0, 418090, 0, -30462, 0, 1605, 0, -50, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 155, "char_orbit_label": "s", "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], [6, 3, 4]], "inner_twist_count": 4, "level_primes": [2, 3, 5, 31], "conrey_indexes": [439, 769], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 14, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 2, 0], "traces": [28, 0, 0, -28, 2, 14, 0, 0, 14, 4, 2, 0, 0, -8, -8, 28, 0, 0, 4, -2, -8, 0, 0, -14, -14, -12, 0, 0, 24, 4, 0, 0, 0, 10, 8, -14, 0, 0, 24, -4, 20, 0, 0, -2, -2, 12, 0, 0, 2, -8, 10, 0, 0, 28, 6, 8, 0, 0, -20, 8, 32, 0, 0, -28, -12, 4, 0, 0, -6, -16, -16, 0, 0, -6, -8, -4, 0, 0, 10, 2, -14, 0, 0, 8, 72, 18, 0, 0, -80, -4, 32, 0, 0, -12, -32, 14, 0, 0, -2, 14, -68, 0, 0, 12, 8, -4, 0, 0, 88, -20, -6, 0, 0, -4, -8, -24, 0, 0, -16, -4, 60, 0, 0, 0, -52, -16, 0, 0, 18, -8, 6, 0, 0, -62, -4, -10, 0, 0, -48, -8, 6, 0, 0, 14, 52, -4, 0, 0, -4, 14, 12, 0, 0, 0, -42, -24, 0, 0, 8, 4, 40, 0, 0, -20, -20, -28, 0, 0, -30, -12, 8, 0, 0, 12, -24, 2, 0, 0, -94, 2, -64, 0, 0, -12, 16, 30, 0, 0, 8, -16, -4, 0, 0, -16, -8, -2, 0, 0, 8, 8, 124, 0, 0, -10, -60, 4, 0, 0, 88, 4, 80, 0, 0, -24, -40, -28, 0, 0, 8, -6, -56, 0, 0, -8, -28, 18, 0, 0, 0, 10, 0, 0, 0, 12, -4, 20, 0, 0, -28, -8, 32, 0, 0, -32, -102, 40, 0, 0, 56, 56, 86, 0, 0, 0, 6, 28, 0, 0, 128, 12, 12, 0, 0, -4, -108, 84, 0, 0, 38, 2, -48, 0, 0, 38, 92, 6, 0, 0, -30, 16, -24, 0, 0, 16, 8, -44, 0, 0, -124, 8, 8, 0, 0, 4, -144, 6, 0, 0, -156, 8, 28, 0, 0, 4, 48, 20, 0, 0, -8, -60, -8, 0, 0, 48, 4, -10, 0, 0, -12, -2, -24, 0, 0, 14, 0, 68, 0, 0, 40, -6, -104, 0, 0, -4, -48, -8, 0, 0, -36, -72, 38, 0, 0, -18, -20, -64, 0, 0, 104, -32, 12, 0, 0, 20, 112, 80, 0, 0, -84, 4, 26, 0, 0, -32, 48, 16, 0, 0, -20, 12, -136, 0, 0, -4, -28, 12, 0, 0, -68, 32, 0, 0, 0, -14, 28, -80, 0, 0, 82, 12, -70, 0, 0, 92, 60, 2, 0, 0, -168, -14, 80, 0, 0, 68, -4, 16, 0, 0, 18, 92, -76, 0, 0, 6, 32, -12, 0, 0, 228, -8, 84, 0, 0, 4, 56, -32, 0, 0, -44, 60, 168, 0, 0, 44, -16, -88, 0, 0, 86, 20, -2, 0, 0, 6, -148, 12, 0, 0, -144, -16, 28, 0, 0, 20, 108, 4, 0, 0, -10, 8, -76, 0, 0, 24, 12, -36, 0, 0, -96, 10, -24, 0, 0, -10, -76, 16, 0, 0, -12, 4, -136, 0, 0, -60, 12, 14, 0, 0, -34, -44, 26, 0, 0, -80, 12, 0, 0, 0, 0, 52, -4, 0, 0, 16, -78, 82, 0, 0, 42, 36, 400, 0, 0, 10, -20, -18, 0, 0, 128, 8, 148, 0, 0, -6, 64, -52, 0, 0, 160, -48, -40, 0, 0, -40, -16, 62, 0, 0, -94, 4, -72, 0, 0, 10, 32, 16, 0, 0, 16, -48, 164, 0, 0, -108, -6, 48, 0, 0, 24, 8, 2, 0, 0, -6, 72, 28, 0, 0, 184, -16, -132, 0, 0, 184, -72, -14, 0, 0, -80, -52, -288, 0, 0, 4, -24, 132, 0, 0, -180, -64, -184, 0, 0, 2, 112, 4, 0, 0, -104, -14, -74, 0, 0, -12, 8, -34, 0, 0, 16, 124, 28, 0, 0, 4, 92, 0, 0, 0, 112, 42, -12, 0, 0, 24, 34, -40, 0, 0, 106, -8, 58, 0, 0, 72, -136, -8, 0, 0, 16, -4, -80, 0, 0, -40, -30, -80, 0, 0, -120, -168, 116, 0, 0, 44, -12, 20, 0, 0, -172, 20, 280, 0, 0, 28, 172, -12, 0, 0, 12, 26, 184, 0, 0, 184, 8, 30, 0, 0, -40, 12, -40, 0, 0, -8, 40, -104, 0, 0, 136, -16, 120, 0, 0, -12, 200, -12, 0, 0, 18, 24, 30, 0, 0, -2, -20, 22, 0, 0, 56, -128, 20, 0, 0, -32, -104, 94, 0, 0, 8, -2, -344, 0, 0, 64, 156, -60, 0, 0, -28, -84, 30, 0, 0, -28, -44, 12, 0, 0, -164, -16, 40, 0, 0, -30, 24, -132, 0, 0, -96, -26, -10, 0, 0, -192, -94, -8, 0, 0, -164, 16, -112, 0, 0, 4, 36, 2, 0, 0, -56, -84, -20, 0, 0, 36, -110, 16, 0, 0, -176, 8, -216, 0, 0, 2, 88, -6, 0, 0, 26, -24, -296, 0, 0, 6, -48, -8, 0, 0, -90, -8, -40, 0, 0, -124, 392, -20, 0, 0, -232, -8, -140, 0, 0, -68, -100, 10, 0, 0, 16, 60, 276, 0, 0, -4, 24, -68, 0, 0, 168, 72, 54, 0, 0, -24, -112, -88, 0, 0, 592, -4, 140, 0, 0, -80, 316, -6, 0, 0, -14, 50, -158, 0, 0, 132, -16, 24, 0, 0, 16, 40, -92, 0, 0, 28, -164, 216, 0, 0, 108, 104, -52, 0, 0, 24, 156, -8, 0, 0, 132, 6, -356, 0, 0, 56, 32, -12, 0, 0, -172, -60, -4, 0, 0, 4, 52, 8, 0, 0, -148, 28, -520, 0, 0, -18, 212, 6, 0, 0, -34, -68, -48, 0, 0, 176, -248, 0, 0, 0, -178, -10, 4, 0, 0, 0, 232, -80, 0, 0, 320, -24, -160, 0, 0, 240, -8, -12, 0, 0, -40, 4, 70, 0, 0, -20, 16, -244, 0, 0, 160, -72, 72, 0, 0, 4, -92, 28, 0, 0, 304, 8, 256, 0, 0, -32, -184, -40, 0, 0, 160, 28, 186, 0, 0, -20, 84, 32, 0, 0, -8, 102, 44, 0, 0, -40, 56, 24, 0, 0, -58, -40, -48, 0, 0, 80, -16, -56, 0, 0, 6, -56], "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, 2, 1, 2, 0], [1, 1, 31, 3, 1, 3, 0], [1, 1, 155, 10, 1, 6, 0]], "char_orbit_index": 19, "prim_orbit_index": 10, "minimal_twist": "930.2.s.d", "char_is_minimal": true, "conrey_index": 439, "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}