# Stored data for newform 930.2.o.e, downloaded from the LMFDB on 02 March 2021.
{"level_primes": [2, 3, 5, 31], "sato_tate_group": "1.2.3.c6", "rm_discs": [], "conrey_indexes": [161, 491], "cm_discs": [], "level_radical": 930, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 7, "is_cm": false, "hecke_orbit": 5, "analytic_conductor": 7.426087387979075, "inner_twist_count": 4, "is_rm": false, "char_order": 6, "level_is_square": false, "weight_parity": 1, "label": "930.2.o.e", "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "930.2.o.e", "dim": 40, "traces": [40, 0, 6, -40, 0, 0, -12, 0, -2, 20, 0, -6, -12, 0, 0, 40, 0, -12, -12, 0, 12, -24, 0, 0, 20, 0, 0, 12, 0, 0, 8, 0, 52, 24, 0, 2, 60, 0, -8, -20, 0, 12, 24, 0, -12, 0, 0, 6, -4, 0, 14, 12, 0, 0, 24, 0, -12, 0, 0, 0, 0, 0, 0, -40, 0, 8, 64, 0, -26, -24, 0, 12, 0, 0, 6, 12, 0, -68, -48, 0, 2, 4, 0, -12, 0, 0, 36, 24, 0, 2, 0, 0, -22, -40, 0, 0, 8, 0, -90, -20, 0, 10, -40, 0, -12, -60, 0, 0, -32, 0, -40, -12, 0, -36, 0, 0, 114, -40, 0, 0, 24, 0, 0, -8, 0, 76, 84, 0, -72, -12, 0, -52, -4, 0, 18, -24, 0, 4, 0, 0, 24, 28, 0, -2, 12, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 8, -32, 0, 144, 20, 0, -32, 24, 0, -4, -48, 0, -12, 144, 0, -196, -24, 0, -10, 12, 0, 126, 0, 0, 12, 24, 0, -22, 0, 0, -68, -152, 0, -126, -24, 0, -6, 20, 0, 34, 4, 0, -6, -168, 0, 0, 240, 0, -14, 4, 0, -108, -12, 0, 12, -48, 0, 0, -12, 0, 0, 0, 0, 36, -24, 0, -6, 48, 0, -4, -44, 0, 12, 156, 0, -80, 0, 0, 18, 20, 0, 28, 192, 0, 0, -60, 0, -204, 0, 0, 0, 0, 0, 160, 40, 0, 0, 36, 0, 10, 40, 0, -4, -84, 0, 150, 20, 0, -8, 60, 0, -14, -64, 0, 0, 0, 0, 54, 12, 0, 26, 0, 0, 40, 24, 0, 6, -136, 0, 36, 32, 0, -12, -112, 0, -102, 0, 0, 0, 80, 0, -38, 12, 0, -6, -192, 0, 42, -12, 0, 0, 0, 0, 0, 16, 0, 68, 204, 0, -38, 48, 0, 80, -192, 0, 174, 72, 0, -2, 0, 0, 24, -4, 0, 26, 36, 0, 0, -60, 0, 12, 0, 0, 0, 0, 0, 40, -168, 0, -8, 0, 0, -36, 0, 0, 40, -24, 0, -18, 28, 0, -284, -132, 0, -2, 0, 0, 60, 0, 0, -4, 336, 0, 44, 0, 0, 22, -384, 0, 0, 40, 0, 96, 36, 0, 134, -40, 0, 0, 24, 0, 0, -8, 0, -4, -144, 0, -228, -12, 0, 90, 4, 0, 0, 20, 0, 0, -140, 0, 64, 144, 0, -10, 108, 0, 128, 40, 0, -60, 48, 0, -148, 0, 0, 12, 52, 0, 2, 60, 0, 0, -48, 0, -402, 0, 0, 0, 0, 0, 20, 32, 0, 8, 24, 0, -178, -88, 0, 40, -36, 0, 156, 12, 0, -24, 48, 0, 100, -8, 0, 36, 0, 0, 68, 0, 0, 38, 0, 0, 22, -120, 0, -114, -16, 0, -24, 40, 0, 28, 12, 0, -78, 264, 0, 0, 232, 0, -22, -24, 0, -210, -252, 0, 294, 4, 0, 0, -88, 0, 0, 8, 0, 240, 300, 0, -108, -216, 0, -76, -120, 0, 252, -84, 0, -14, 0, 0, 30, 100, 0, 72, 192, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 52, -96, 0, -92, 4, 0, -70, 24, 0, 44, -24, 0, -18, 28, 0, -164, 24, 0, 56, -112, 0, 222, 0, 0, -4, 444, 0, -6, 0, 0, 58, -240, 0, -360, 120, 0, -24, -44, 0, 176, -28, 0, -12, -240, 0, 0, 304, 0, 2, -92, 0, -138, -12, 0, 24, -84, 0, 0, -4, 0, 0, 296, 0, 152, 60, 0, 22, -192, 0, 308, -36, 0, 0, -264, 0, -84, 0, 0, 18, 72, 0, 12, 0, 0, 0, 72, 0, -180, 0, 0, 0, 0, 0, 236, -256, 0, -8, -20, 0, 80, 32, 0, 0, -96, 0, 0, -36, 0, -144, 228, 0, 200, -20, 0, 192, 0, 0, -4, 60, 0, 32, 0, 0, -6, -24, 0, -222, -40, 0, -30, 68, 0, 4, -76, 0, -210, 48, 0, 0, 184, 0, -26, -64, 0, 12, -312, 0, 0, -144, 0, 0, 144, 0, 0, -52, 0, 196, -12, 0, -108, 24, 0, -52, -100, 0, 108, -180, 0, 10, 0, 0, 36, -12, 0, 4, 504, 0, 0, -240, 0, -126, 0, 0, 0, 0, 0, -12, -64, 0, -160, 100, 0, -12, 88, 0, 64, -24, 0, 102, 364, 0, -116, 0, 0, 22, -96, 0, 18, 0, 0, -28, 372, 0, 180, 0, 0, 68, -24, 0, -288, 152, 0, 6, 344, 0, 320, 28, 0, 126, -156, 0, 0, 24, 0, -134, -168, 0, -6, 36, 0, 6, 136, 0, 0, -20, 0, 0, -8, 0, 108, 204, 0, -34, 204, 0, 272, -4, 0, 0, 36, 0, -120, 0, 0, 6, 56, 0, -40, 168, 0, 0, -528, 0, -402, 0, 0, 0, 0, 0, -16, -240, 0, 4, 88, 0, -6, -352, 0, 14, -480, 0, -120, -4, 0, -400, -72, 0, 26, -104, 0, 108, 0, 0, -156, 12, 0, 72, 0, 0, -310, -8, 0, -12, 264, 0, 288, 48, 0, 50, -268, 0, -24, 24, 0, 0, 208, 0, -20, 12, 0, -282, -612, 0, 366, 28, 0, 0, 0, 0, 0, 0, 0, 72, 624, 0, -324, -372, 0, -36, -404, 0, 384, 24, 0, -32, 0, 0, 18, -20, 0, 6, 60, 0, 0, -48, 0, -168, 0, 0, 0, 0, 0, 4, -128, 0, -60, 44, 0, -218, -408, 0, 196, 12, 0, -12, -64, 0, 8, -156, 0, 130, 264, 0, 492, 0, 0, 80, 60, 0, 114, 0, 0, -62, -392, 0, -54, 80, 0, -18, 36, 0, 76, -20, 0, -54, 444, 0, 0, 400, 0, -28, -344, 0, -132, -192, 0, 390, -40, 0, 0, 28, 0, 0, -72, 0, 116, 60, 0, -112, -372, 0, -28, 4, 0, 204, -24, 0, -4, 0, 0, -24, 136, 0, -58, 120, 0, 0, 12, 0, -660, 0, 0, 0, 0, 0, 456, -88, 0, -160, 64, 0, -296, -40], "has_non_self_twist": 1, "char_values": [930, 6, [311, 187, 871], [3, 6, 5]], "Nk2": 3720, "analytic_rank": 0, "char_orbit_label": "o", "weight": 2, "trace_display": [0, 6, 0, -12], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "level_is_prime": false, "char_is_minimal": true, "self_twist_discs": [], "char_is_real": false, "level_is_prime_power": false, "relative_dim": 20, "hecke_cutters": [[7, [24930049, 13840596, 36838111, 19464312, 35267190, 18180020, 18688705, 9253848, 7030795, 3058704, 1635687, 553070, 229137, 63504, 21966, 4826, 1356, 224, 54, 6, 1]], [11, [276922881, 0, 10332663156, 0, 332005777128, 0, 1769656705044, 0, 5982174520306, 0, 13301754816326, 0, 21963995831262, 0, 26302764236974, 0, 23692464931121, 0, 14864662935504, 0, 6535310384305, 0, 1538509889168, 0, 252146142291, 0, 27840930644, 0, 2288616925, 0, 139249788, 0, 6505652, 0, 225442, 0, 5805, 0, 98, 0, 1]]], "space_label": "930.2.o", "level": 930, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 31, 5, -1, 6, 0], [1, 1, 93, 7, 1, 6, 0]], "char_degree": 2, "char_conductor": 93, "char_orbit_index": 15, "hecke_orbit_code": 18015360615711650, "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}