# Stored data for newform 105.4.g.b, downloaded from the LMFDB on 18 April 2021.
{"level_primes": [3, 5, 7], "sato_tate_group": "3.2.3.c2", "rm_discs": [], "conrey_indexes": [104], "cm_discs": [], "level_radical": 105, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 7, "is_cm": false, "hecke_orbit": 2, "analytic_conductor": 6.195200550602764, "inner_twist_count": 8, "is_rm": false, "char_order": 2, "level_is_square": false, "weight_parity": 1, "label": "105.4.g.b", "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "105.4.g.b", "dim": 40, "traces": [40, 0, 0, 184, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -188, 184, 0, 0, 0, 0, 148, 0, 0, 0, 712, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, -1520, 0, 0, 644, 0, 0, 0, 0, 0, 0, -1488, 0, 0, -1496, 0, -220, 0, 0, 0, 0, 0, 0, 0, 0, 1984, 0, 0, 0, 40, 0, 0, 0, 0, 0, -3000, 0, 0, 0, 0, 0, 0, 0, 0, -1192, 0, 4636, 0, 0, -2192, 4808, 0, 0, 0, 0, 0, -4408, 0, 0, 0, 0, 0, 0, 0, 5276, 904, 0, 0, 0, 0, 4896, 5856, 0, 0, 13688, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, -6912, -7776, 0, 0, 0, 0, -4560, 0, 0, 0, -3408, 0, 0, 0, 0, -1928, 0, 0, 0, 0, 0, -3604, 0, 0, -15224, 0, 0, 0, 0, 0, 0, 3464, 0, 0, 14784, 0, -13384, 0, 0, 0, 0, 0, 0, 0, 0, 2252, 0, 0, 0, -38064, 0, 0, 0, 0, 0, -11088, 0, 0, 0, 0, 0, 0, 0, 0, -24048, 0, 26592, 0, 0, -22160, 21840, 0, 0, 0, 0, 0, 10408, 0, 0, 0, 0, 0, 0, 0, 61736, -5472, 0, 0, 0, 0, 18840, 9656, 0, 0, 39312, 0, 0, 0, 0, 28496, 0, 0, 0, 0, 0, -35012, 38592, 0, 0, 0, 0, 7292, 0, 0, 0, -4648, 0, 0, 0, 0, 3640, 0, 0, 0, 0, 0, -5520, 0, 0, -69808, 0, 0, 0, 0, 0, 0, -89768, 0, 0, 27456, 0, -10324, 0, 0, 0, 0, 0, 0, 0, 0, 8880, 0, 0, 0, -65184, 0, 0, 0, 0, 0, -48552, 0, 0, 0, 0, 0, 0, 0, 0, -7488, 0, 37676, 0, 0, -39648, 57744, 0, 0, 0, 0, 0, 9936, 0, 0, 0, 0, 0, 0, 0, 54356, -20640, 0, 0, 0, 0, 55060, 14096, 0, 0, 72712, 0, 0, 0, 0, 36160, 0, 0, 0, 0, 0, -95424, 106592, 0, 0, 0, 0, -12392, 0, 0, 0, -23248, 0, 0, 0, 0, 24624, 0, 0, 0, 0, 0, -53848, 0, 0, -111600, 0, 0, 0, 0, 0, 0, -102056, 0, 0, 70928, 0, -104880, 0, 0, 0, 0, 0, 0, 0, 0, 9292, 0, 0, 0, -125344, 0, 0, 0, 0, 0, -68008, 0, 0, 0, 0, 0, 0, 0, 0, -41568, 0, 202136, 0, 0, -25968, 135208, 0, 0, 0, 0, 0, 40896, 0, 0, 0, 0, 0, 0, 0, 113520, 36752, 0, 0, 0, 0, 114072, 13496, 0, 0, 126432, 0, 0, 0, 0, 93172, 0, 0, 0, 0, 0, -95860, 40544, 0, 0, 0, 0, -32564, 0, 0, 0, 2208, 0, 0, 0, 0, 58656, 0, 0, 0, 0, 0, -7728, 0, 0, -118960, 0, 0, 0, 0, 0, 0, -246624, 0, 0, 31920, 0, -108592, 0, 0, 0, 0, 0, 0, 0, 0, -106032, 0, 0, 0, -117384, 0, 0, 0, 0, 0, -97536, 0, 0, 0, 0, 0, 0, 0, 0, -135160, 0, 179156, 0, 0, -9840, 65232, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 163868, -157776, 0, 0, 0, 0, 84316, 67632, 0, 0, 166792, 0, 0, 0, 0, 77328, 0, 0, 0, 0, 0, -108248, 130088, 0, 0, 0, 0, -174096, 0, 0, 0, 200448, 0, 0, 0, 0, 38064, 0, 0, 0, 0, 0, 26644, 0, 0, -261352, 0, 0, 0, 0, 0, 0, -222112, 0, 0, -26160, 0, -265208, 0, 0, 0, 0, 0, 0, 0, 0, -51508, 0, 0, 0, -6912, 0, 0, 0, 0, 0, -169152, 0, 0, 0, 0, 0, 0, 0, 0, -111856, 0, 391584, 0, 0, -100468, 153360, 0, 0, 0, 0, 0, 349632, 0, 0, 0, 0, 0, 0, 0, 85760, -83288, 0, 0, 0, 0, 179304, -129832, 0, 0, 384096, 0, 0, 0, 0, 29192, 0, 0, 0, 0, 0, -33648, 355776, 0, 0, 0, 0, -175584, 0, 0, 0, 212880, 0, 0, 0, 0, 200792, 0, 0, 0, 0, 0, 106560, 0, 0, -86140, 0, 0, 0, 0, 0, 0, -444936, 0, 0, -38056, 0, -150364, 0, 0, 0, 0, 0, 0, 0, 0, -311904, 0, 0, 0, -82896, 0, 0, 0, 0, 0, -199824, 0, 0, 0, 0, 0, 0, 0, 0, -156040, 0, 400940, 0, 0, 178272, -25400, 0, 0, 0, 0, 0, 177272, 0, 0, 0, 0, 0, 0, 0, -144680, -336864, 0, 0, 0, 0, 95212, -278928, 0, 0, 94424, 0, 0, 0, 0, 173376, 0, 0, 0, 0, 0, -124176, 211544, 0, 0, 0, 0, -354056, 0, 0, 0, 407184, 0, 0, 0, 0, 128564, 0, 0, 0, 0, 0, 209240, 0, 0, -214752, 0, 0, 0, 0, 0, 0, -354128, 0, 0, -329624, 0, -459984, 0, 0, 0, 0, 0, 0, 0, 0, -348336, 0, 0, 0, 141544, 0, 0, 0, 0, 0, -149712, 0, 0, 0, 0, 0, 0, 0, 0, -192384, 0, 767504, 0, 0, 167540, 30576, 0, 0, 0, 0, 0, 279648, 0, 0, 0, 0, 0, 0, 0, -180624, -184216, 0, 0, 0, 0, 234072, 104880, 0, 0, 143312, 0, 0, 0, 0, 236612, 0, 0, 0, 0, 0, -7200, 603696, 0, 0, 0, 0, -337200, 0, 0, 0, 296648, 0, 0, 0, 0, 565584, 0, 0, 0, 0, 0, 186848, 0, 0, -21724, 0, 0, 0, 0, 0, 0, -950064, 0, 0, -44400, 0, -559780, 0, 0, 0, 0, 0, 0, 0, 0, -710096, 0, 0, 0, 330816, 0, 0, 0, 0, 0, -208464, 0, 0, 0, 0, 0, 0, 0, 0, 118280, 0, 550772, 0, 0, 453464, 110304, 0, 0, 0, 0, 0, 449664, 0, 0, 0, 0, 0, 0, 0, -394396, -360208, 0, 0, 0, 0, 191136, -238080, 0, 0, -147488, 0, 0, 0, 0, 59904, 0, 0, 0, 0, 0, 10312, 692824, 0, 0, 0, 0, -669648, 0, 0, 0, 784512, 0, 0, 0, 0, 199820, 0, 0, 0, 0, 0, 198956, 0, 0, -336144, 0, 0, 0, 0, 0, 0, -685408, 0, 0, -552288, 0, -731152, 0, 0, 0, 0], "has_non_self_twist": 1, "char_values": [105, 2, [71, 22, 31], [1, 1, 1]], "Nk2": 1680, "analytic_rank": 0, "char_orbit_label": "g", "weight": 4, "trace_display": [0, 0, 0, 0], "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": true, "level_is_prime_power": false, "relative_dim": 40, "hecke_cutters": [[2, [-40896, 0, 43014, 0, -12393, 0, 1377, 0, -63, 0, 1]]], "space_label": "105.4.g", "level": 105, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 21, 3, 1, 2, 0], [1, 1, 35, 3, -1, 2, 0], [1, 1, 105, 7, 1, 2, 0]], "char_degree": 1, "char_conductor": 105, "char_orbit_index": 7, "hecke_orbit_code": 4504012011339881, "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}