# Stored data for newform 3100.3.d.h, downloaded from the LMFDB on 04 June 2024.
{"Nk2": 27900, "analytic_conductor": 84.46888195169204, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 31, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": -1, "char_values": [3100, 2, [1551, 2977, 1801], [2, 2, 1]], "cm_discs": [], "conrey_index": 1301, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[3, [40000, 0, 120100, 0, 72440, 0, 15804, 0, 1524, 0, 65, 0, 1]], [7, [3158315776, 0, -1657490800, 0, 182348816, 0, -5740296, 0, 76356, 0, -455, 0, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525403600358428, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 31, 2, -1, 2, 0], [1, 1, 155, 3, -1, 2, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "3100.3.d.h", "level": 3100, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 31], "level_radical": 310, "minimal_twist": "620.3.f.c", "prim_orbit_index": 2, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "2.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3100.3.d", "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 280, 0, -248, 0, 0, 0, 0, 0, 0, 0, 644, 0, -100, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -72, 0, 1268, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1560, 0, 0, 0, 0, 0, 0, 0, -836, 0, 348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1192, 0, 2500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 484, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 532, 0, 0, 0, 0, 0, 0, 0, -652, 0, 1600, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1164, 0, -1120, 0, 0, 0, 0, 0, 0, 0, 2740, 0, 0, 0, 0, 0, 0, 0, 0, 0, 904, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 376, 0, 0, 0, 0, 0, 0, 0, 1648, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 824, 0, 0, 0, 0, 0, 0, 0, 1420, 0, -680, 0, 0, 0, 0, 0, 0, 0, 756, 0, -832, 0, 0, 0, 0, 0, 0, 0, 1548, 0, 0, 0, 0, 0, 0, 0, 0, 0, 972, 0, 2416, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2900, 0, 0, 0, 0, 0, 0, 0, -2696, 0, 968, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2108, 0, 0, 0, 0, 0, 0, 0, -360, 0, -3944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3532, 0, -3320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3316, 0, 0, 0, 0, 0, 0, 0, 5304, 0, 2004, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2892, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -768, 0, 824, 0, 0, 0, 0, 0, 0, 0, 452, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -5100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3428, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4432, 0, 0, 0, 0, 0, 0, 0, -2216, 0, 5416, 0, 0, 0, 0, 0, 0, 0, -2044, 0, 7872, 0, 0, 0, 0, 0, 0, 0, -7308, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5992, 0, 3064, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6012, 0, 0, 0, 0, 0, 0, 0, 3568, 0, -756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5864, 0, 0, 0, 0, 0, 0, 0, -6492, 0, 908, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7616, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5724, 0, -6804, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2316, 0, 0, 0, 0, 0, 0, 0, 1676, 0, -904, 0, 0, 0, 0, 0, 0, 0, 0, 0, -560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2232, 0, 2812, 0, 0, 0, 0, 0, 0, 0, 284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10604, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7412, 0, 0, 0, 0, 0, 0, 0, 18548, 0, 0, 0, 0, 0, 0, 0, 0, 0, -912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4968, 0, 0, 0, 0, 0, 0, 0, -12364, 0, -2844, 0, 0, 0, 0, 0, 0, 0, 3856, 0, 3508, 0, 0, 0, 0, 0, 0, 0, 1760, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6092, 0, -1232, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3172, 0, 0, 0, 0, 0, 0, 0, -6048, 0, 9672, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8136, 0, 0, 0, 0, 0, 0, 0, -4080, 0, 564, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3500, 0, -9796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1764, 0, 0, 0, 0, 0, 0, 0, 9556, 0, 3128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, -1856, 0, 0, 0, 0, 0, 0, 0, -4560, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9260, 0, 0, 0, 0, 0, 0, 0, 9124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1968, 0, 0, 0, 0, 0, 0, 0, -8024, 0, 7408, 0, 0, 0, 0, 0, 0, 0, 17216, 0, 14200, 0, 0, 0, 0, 0, 0, 0, -25168, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5904, 0, -20040, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2216, 0, 0, 0, 0, 0, 0, 0, 10328, 0, 11644, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11956, 0, 0, 0, 0, 0, 0, 0, -3532, 0, 7632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17312, 0, 13932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3884, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19008, 0, 0, 0, 0, 0, 0, 0, 6892, 0, 780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3024, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15492, 0, -1644, 0, 0, 0, 0, 0, 0, 0, 6208, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2832, 0, 0, 0, 0, 0, 0, 0, 8352, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8580, 0, 0, 0, 0, 0, 0, 0, -12576, 0, 11428, 0, 0, 0, 0, 0, 0, 0, 14360, 0, -1792, 0, 0, 0, 0, 0, 0, 0, -23912, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17924, 0, 9764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1012, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5688, 0, 0, 0, 0, 0, 0, 0, -5200, 0, 9712, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8136, 0, 0, 0, 0, 0, 0, 0, -25368, 0, -15408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19900, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17852, 0, 7872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -452, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 904, 0, 0, 0, 0, 0, 0, 0, 8272, 0, 13296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9908, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4992, 0, 15400, 0, 0, 0, 0, 0, 0, 0, 1180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15716, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7912, 0, 0, 0, 0, 0, 0, 0, 50832, 0, 0, 0, 0, 0, 0, 0, 0, 0, -880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10200, 0, 0, 0, 0, 0, 0, 0, -15908, 0, 776, 0, 0, 0, 0, 0, 0, 0, 8768, 0, 5848, 0, 0, 0, 0, 0, 0, 0, 27192, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10436, 0, 18756, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7196, 0, 0, 0, 0, 0, 0, 0, 16, 0, -10212, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1280, 0, 0, 0, 0, 0, 0, 0, -1384, 0, -17984, 0, 0, 0, 0, 0, 0, 0, 0, 0], "weight": 3, "weight_parity": -1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}