# Stored data for newform 930.2.z.d, downloaded from the LMFDB on 20 April 2024. {"label": "930.2.z.d", "space_label": "930.2.z", "level": 930, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13512516902585250, "dim": 72, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [20874585984160000, 0, -335137831001432000, 0, 6176282595752674400, 0, -101192217270058631280, 0, 1274169828401728303841, 0, -10045598694692217954534, 0, 80349262640566966893447, 0, -526795923507888943435828, 0, 2355094281766004877892683, 0, -6666572260786249135769992, 0, 11787431522988397925483039, 0, -12426263543260861229577976, 0, 7829788682121930933666550, 0, -3410341050314669174810480, 0, 2075997649886650954503855, 0, -610560992298845233590900, 0, 203164175774369297613310, 0, -55716666057914396594920, 0, 12813616176680760314065, 0, -2498743256610490417320, 0, 457932895759176279265, 0, -68289492255546927170, 0, 8265683095107386490, 0, -841059288837321320, 0, 80075907032622385, 0, -6379019265292900, 0, 456148658582330, 0, -29420149996680, 0, 1698716482255, 0, -85059387566, 0, 3867806739, 0, -156308192, 0, 5456238, 0, -160298, 0, 4172, 0, -84, 0, 1]]], "char_order": 10, "char_parity": 1, "char_degree": 4, "char_conductor": 155, "char_orbit_label": "z", "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, 10, [311, 187, 871], [10, 5, 2]], "inner_twist_count": 4, "level_primes": [2, 3, 5, 31], "conrey_indexes": [109, 349, 469, 529], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 18, "sato_tate_group": "1.2.3.c10", "trace_display": [0, 0, 4, 0], "traces": [72, 0, 0, 18, 4, 72, 0, 0, 18, 0, -6, 0, 0, -4, 0, -18, 0, 0, 12, -4, -16, 0, 0, 18, -4, 12, 0, 0, 24, 4, 22, 0, 0, 14, -22, 72, 0, 0, 8, 0, -28, 0, 0, -4, -4, -22, 0, 0, 42, -32, -4, 0, 0, 18, 14, 24, 0, 0, -28, 0, 56, 0, 0, 18, 46, -6, 0, 0, -8, 46, -68, 0, 0, 8, 32, -12, 0, 0, 26, -6, -18, 0, 0, -4, -32, 80, 0, 0, 32, 0, -44, 0, 0, 12, 74, -18, 0, 0, -4, 14, -46, 0, 0, 8, 44, -28, 0, 0, 72, 4, -8, 0, 0, 12, 60, -14, 0, 0, -128, -4, -136, 0, 0, 18, -92, -16, 0, 0, 40, -56, -134, 0, 0, -88, 0, -14, 0, 0, 0, 2, -32, 0, 0, 18, 2, 8, 0, 0, -396, -4, -12, 0, 0, 0, -162, 12, 0, 0, 8, 0, -104, 0, 0, -12, -4, -80, 0, 0, 8, -14, -12, 0, 0, 24, -94, 4, 0, 0, -240, 4, 344, 0, 0, 22, -176, 22, 0, 0, 16, -16, 16, 0, 0, -12, -4, -42, 0, 0, -4, -28, 88, 0, 0, 14, -112, 32, 0, 0, -20, -22, 280, 0, 0, -16, 38, 72, 0, 0, 12, 46, 26, 0, 0, -4, 14, -48, 0, 0, -32, 42, 80, 0, 0, 8, -160, 28, 0, 0, -32, 0, 188, 0, 0, -16, 320, -28, 0, 0, 0, 42, -62, 0, 0, 152, 24, -18, 0, 0, 76, -46, -24, 0, 0, -4, 146, 44, 0, 0, -46, -4, 12, 0, 0, -376, -102, -22, 0, 0, 28, 4, -192, 0, 0, -32, -44, -18, 0, 0, -126, 60, -28, 0, 0, 42, -90, 2, 0, 0, -50, -32, -128, 0, 0, -48, -108, -4, 0, 0, 8, -146, 120, 0, 0, 132, -48, -36, 0, 0, 236, 6, -104, 0, 0, 18, -44, -184, 0, 0, 196, 14, 56, 0, 0, -42, -76, 24, 0, 0, -52, -48, 468, 0, 0, 60, -32, -192, 0, 0, 108, 24, 2, 0, 0, -28, 20, 28, 0, 0, 96, 0, 110, 0, 0, -16, 14, 56, 0, 0, 28, 10, -184, 0, 0, 38, -42, -32, 0, 0, -12, 56, -72, 0, 0, 18, 294, -32, 0, 0, -20, 46, 172, 0, 0, -56, 282, -6, 0, 0, -24, 16, -244, 0, 0, -44, -6, -136, 0, 0, 28, 208, -124, 0, 0, -8, 220, 2, 0, 0, 462, 46, -20, 0, 0, 28, 100, -68, 0, 0, -112, -102, -204, 0, 0, 4, -80, -72, 0, 0, -52, 16, -42, 0, 0, 8, 188, -20, 0, 0, 32, 32, -484, 0, 0, -184, -20, -12, 0, 0, -36, 0, 136, 0, 0, -76, -114, 204, 0, 0, 104, 172, 28, 0, 0, 26, 244, -132, 0, 0, 176, -6, -194, 0, 0, 136, -52, -18, 0, 0, -126, -268, 724, 0, 0, 132, -64, 22, 0, 0, -24, -48, 12, 0, 0, -4, 2, 194, 0, 0, -300, -32, 320, 0, 0, -120, -358, 80, 0, 0, -88, -4, 624, 0, 0, -36, 56, 212, 0, 0, 402, -80, -42, 0, 0, 32, 16, -72, 0, 0, -60, 0, 48, 0, 0, 4, -142, -44, 0, 0, -16, -30, 308, 0, 0, 60, -10, 0, 0, 0, -240, -2, -38, 0, 0, 12, 244, 68, 0, 0, 308, 74, -116, 0, 0, 212, 220, -18, 0, 0, 132, -32, -20, 0, 0, -8, 24, 60, 0, 0, -44, 80, -144, 0, 0, -4, -432, -84, 0, 0, 76, 14, -196, 0, 0, -48, -128, -46, 0, 0, -44, -106, 162, 0, 0, -308, 112, 80, 0, 0, 560, -78, 28, 0, 0, 8, 292, -96, 0, 0, 582, 44, -488, 0, 0, 88, 22, -28, 0, 0, -52, 0, 336, 0, 0, 24, -248, 512, 0, 0, -234, -124, 256, 0, 0, 72, -80, 32, 0, 0, 48, 4, 44, 0, 0, -80, -190, -8, 0, 0, 20, -110, 180, 0, 0, 36, 28, 332, 0, 0, 184, 14, -16, 0, 0, 12, -16, 96, 0, 0, -292, 60, -636, 0, 0, 64, 178, -14, 0, 0, 56, -26, 328, 0, 0, 6, -12, 190, 0, 0, 8, 220, 44, 0, 0, -128, 184, -190, 0, 0, 136, -4, -292, 0, 0, 36, 244, -136, 0, 0, 18, 96, 188, 0, 0, -176, -62, 8, 0, 0, -800, -34, -132, 0, 0, 18, -140, -210, 0, 0, -424, -92, -78, 0, 0, -282, 170, -16, 0, 0, -194, 6, -204, 0, 0, -16, -8, -102, 0, 0, -180, -248, -90, 0, 0, 40, -550, 32, 0, 0, 232, -56, -200, 0, 0, 42, 158, -134, 0, 0, -182, -176, -452, 0, 0, 102, -120, 4, 0, 0, -398, 8, 8, 0, 0, -88, -632, 84, 0, 0, -100, 0, -296, 0, 0, -68, 46, -14, 0, 0, 44, -108, -90, 0, 0, 28, 10, 308, 0, 0, -248, -64, 180, 0, 0, 0, 336, 0, 0, 0, 84, 2, -438, 0, 0, 100, 32, -32, 0, 0, 182, 350, -166, 0, 0, 384, -74, 16, 0, 0, 24, 102, 128, 0, 0, 18, 210, -260, 0, 0, 588, 2, -360, 0, 0, 216, 538, 8, 0, 0, -40, -46, -172, 0, 0, -16, 100, -60, 0, 0, -64, 132, -6, 0, 0, -396, 50, -16, 0, 0, -486, -4, -424, 0, 0, 8, -200, -12, 0, 0, -24, 362, -224, 0, 0, 96, 106, -168, 0, 0, -136, -42, -122, 0, 0, 0, -120, -192, 0, 0, 624, -162, 440, 0, 0, 96, 480, 12, 0, 0, 196, 160, -366, 0, 0, 42, -44, -220, 0, 0, -112, 144, 72, 0, 0, 8, -536, 192, 0, 0, -8, 0, 682, 0, 0, 102, 4, -104, 0, 0, 188, 216, -204, 0, 0, -96, 164, -44, 0, 0, 176, -320, 48, 0, 0, -12, 12, 592, 0, 0, 160, -4, -448, 0, 0, 180, 366, -80, 0, 0, -2, 18], "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, 4, 1, 5, 0], [1, 1, 155, 14, 1, 10, 0]], "char_orbit_index": 26, "prim_orbit_index": 14, "minimal_twist": "930.2.z.d", "char_is_minimal": true, "conrey_index": 109, "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}