# Stored data for newform 2916.3.c.b, downloaded from the LMFDB on 20 April 2024.
{"label": "2916.3.c.b", "space_label": "2916.3.c", "level": 2916, "weight": 3, "hecke_orbit": 2, "hecke_orbit_code": 4503737116658532, "dim": 36, "analytic_rank": 0, "is_twist_minimal": false, "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "c", "char_is_real": true, "Nk2": 26244, "analytic_conductor": 79.45524508746257, "level_radical": 6, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [2916, 2, [1459, 2189], [2, 1]], "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [1457], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 36, "sato_tate_group": "2.2.3.c2", "trace_display": [0, 0, 0, 0], "traces": [36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -306, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 468, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 540, 0, 0, 0, 0, 0, -414, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -756, 0, 0, 0, 0, 0, 450, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 270, 0, 0, 0, 0, 0, -378, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 594, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, -702, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1188, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 918, 0, 0, 0, 0, 0, 558, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, -1026, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1404, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1242, 0, 0, 0, 0, 0, 684, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1350, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1566, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1836, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1674, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -738, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1152, 0, 0, 0, 0, 0, -2160, 0, 0, 0, 0, 0, -1080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1278, 0, 0, 0, 0, 0, 1062, 0, 0, 0, 0, 0, 1512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, 882, 0, 0, 0, 0, 0, -1998, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1386, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1638, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3024, 0, 0, 0, 0, 0, -2376, 0, 0, 0, 0, 0, -846, 0, 0, 0, 0, 0, -2142, 0, 0, 0, 0, 0, 900, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2394, 0, 0, 0, 0, 0, 774, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 2808, 0, 0, 0, 0, 0, -2574, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 540, 0, 0, 0, 0, 0, -2898, 0, 0, 0, 0, 0, -2322, 0, 0, 0, 0, 0, 2484, 0, 0, 0, 0, 0, -756, 0, 0, 0, 0, 0, 3150, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 540, 0, 0, 0, 0, 0, -756, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 1188, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, -1404, 0, 0, 0, 0, 0, -3654, 0, 0, 0, 0, 0, -954, 0, 0, 0, 0, 0, 1188, 0, 0, 0, 0, 0, -1134, 0, 0, 0, 0, 0, 1836, 0, 0, 0, 0, 0, 1206, 0, 0, 0, 0, 0, -3456, 0, 0, 0, 0, 0, -2052, 0, 0, 0, 0, 0, 4320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -414, 0, 0, 0, 0, 0, -2646, 0, 0, 0, 0, 0, 4320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1440, 0, 0, 0, 0, 0, 4104, 0, 0, 0, 0, 0, -4410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1260, 0, 0, 0, 0, 0, -3186, 0, 0, 0, 0, 0, -1062, 0, 0, 0, 0, 0, 1836, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3348, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 1116, 0, 0, 0, 0, 0, -5166, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -2970, 0, 0, 0, 0, 0, 6912, 0, 0, 0, 0, 0, -1062, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 3132, 0, 0, 0, 0, 0, 3366, 0, 0, 0, 0, 0, -1188, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 2016, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -540, 0, 0, 0, 0, 0, 756, 0, 0, 0, 0, 0, -3996, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1404, 0, 0, 0, 0, 0, 5616, 0, 0, 0, 0, 0, 3024, 0, 0, 0, 0, 0, 2394, 0, 0, 0, 0, 0, -5922, 0, 0, 0, 0, 0, -1836, 0, 0, 0, 0, 0, 5400, 0, 0, 0, 0, 0, -1170, 0, 0, 0, 0, 0, -1296, 0, 0, 0, 0, 0, -4212, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 936, 0, 0, 0, 0, 0, 2718, 0, 0, 0, 0, 0, -3294, 0, 0, 0, 0, 0, 2160, 0, 0, 0, 0, 0, -2484, 0, 0, 0, 0, 0, -4644, 0, 0, 0, 0, 0, 2484, 0, 0, 0, 0, 0, -1818, 0, 0, 0, 0, 0, -3348, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, 810, 0, 0, 0, 0, 0, -1134, 0, 0, 0, 0, 0, 9504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 522, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2106, 0, 0, 0, 0, 0, -3132, 0, 0, 0, 0, 0, -6678, 0, 0, 0, 0, 0, 4752, 0, 0, 0, 0, 0, 3852, 0, 0, 0, 0, 0, 450, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 3510, 0, 0, 0, 0, 0, -3078, 0, 0, 0, 0, 0, 4320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1314, 0, 0, 0, 0, 0, -5292, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1278, 0, 0, 0, 0, 0, -2538, 0, 0, 0, 0, 0, 1368, 0, 0, 0, 0, 0, -3780, 0, 0, 0, 0, 0, -3618, 0, 0, 0, 0, 0, -4050, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1332, 0, 0, 0, 0, 0, -756, 0, 0, 0, 0, 0, 864, 0, 0, 0, 0, 0, 3780, 0, 0, 0, 0, 0, -414, 0, 0, 0, 0, 0, 2448, 0, 0, 0, 0, 0, -6534, 0, 0, 0, 0, 0, 5724, 0, 0, 0, 0, 0, -7434, 0, 0, 0, 0, 0, 7344, 0, 0, 0, 0, 0, 6912, 0, 0, 0, 0, 0, -5022, 0, 0, 0, 0, 0, 3456, 0, 0, 0, 0, 0, 6696, 0, 0, 0, 0, 0, -4428, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, -5940, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3366, 0, 0, 0, 0, 0, 594, 0, 0, 0, 0, 0, 3132, 0, 0, 0, 0, 0, -3564, 0, 0, 0, 0, 0, 4014, 0, 0, 0, 0, 0, 4536, 0, 0, 0, 0, 0, 12096, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, -3114, 0, 0, 0, 0, 0, -5994, 0, 0, 0, 0, 0, -1386, 0, 0, 0, 0, 0, -1386, 0, 0, 0, 0, 0, -3942, 0, 0, 0, 0, 0, -5706, 0, 0, 0, 0, 0, 5616, 0, 0, 0, 0, 0, 6048, 0, 0, 0, 0, 0, -756, 0, 0, 0, 0, 0, -5076, 0, 0, 0, 0, 0, -2142, 0, 0, 0, 0, 0, 1800, 0, 0, 0, 0, 0, -8190, 0, 0, 0, 0, 0, -954, 0, 0, 0, 0, 0, 6642, 0, 0, 0, 0, 0, 1206, 0, 0, 0, 0, 0, 8424, 0, 0, 0, 0, 0, -1620, 0, 0, 0, 0, 0, -6588, 0, 0, 0, 0, 0, 1080, 0, 0, 0, 0, 0, -2898, 0, 0, 0, 0, 0, -6966, 0, 0, 0, 0, 0, 9936, 0, 0, 0, 0, 0, 6930, 0, 0, 0, 0, 0, -2898, 0, 0, 0, 0, 0, -1638, 0, 0, 0, 0, 0, -1926, 0, 0, 0, 0, 0, -1134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3294, 0, 0, 0, 0, 0, -5778, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, -2106, 0, 0, 0, 0, 0, -3654, 0, 0, 0, 0, 0, -5724, 0, 0, 0, 0, 0, 2376, 0, 0, 0, 0, 0, -3402, 0, 0, 0, 0, 0, -11070, 0, 0, 0, 0, 0, -6894, 0, 0, 0, 0, 0, 3564, 0, 0, 0, 0, 0, -3078, 0, 0, 0, 0, 0, 8640, 0, 0, 0, 0, 0, -5760, 0, 0, 0, 0, 0, 3132, 0, 0, 0, 0, 0, -7938, 0, 0, 0, 0, 0, 4320, 0, 0, 0, 0, 0, -8946, 0, 0, 0, 0, 0, 1638, 0, 0, 0, 0, 0, 12312, 0, 0, 0, 0, 0, -4410, 0, 0, 0, 0, 0, -7236, 0, 0, 0, 0, 0, -4050, 0, 0, 0, 0, 0, 7308, 0, 0, 0, 0, 0, 9756, 0, 0, 0, 0, 0, 7992, 0, 0, 0, 0, 0, -4842, 0, 0, 0, 0, 0, 1530, 0, 0, 0, 0, 0, 3780, 0, 0, 0, 0, 0, 9198, 0, 0, 0, 0, 0, 14688, 0, 0, 0, 0, 0, 4698, 0, 0, 0, 0, 0, 2538, 0, 0, 0, 0, 0, -6372, 0, 0, 0, 0, 0, 3672, 0, 0, 0, 0, 0, 6912, 0, 0, 0, 0, 0, -5022, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2232, 0, 0, 0, 0, 0, -5166, 0, 0, 0, 0, 0, 4698, 0, 0, 0, 0, 0, -8910, 0, 0, 0, 0, 0, 6912, 0, 0, 0, 0, 0, 6588, 0, 0, 0, 0, 0, 6588, 0, 0, 0, 0, 0, 12528, 0, 0, 0, 0, 0, 1314, 0, 0, 0, 0, 0, -9234, 0, 0, 0, 0, 0, 1512, 0, 0, 0, 0, 0, 0, 0], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], "char_orbit_index": 3, "prim_orbit_index": 2, "minimal_twist": "108.3.k.a", "char_is_minimal": true, "conrey_index": 1457, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "hecke_cutters": 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}