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mf_newforms • Show schema
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{'Nk2': 1872, 'analytic_conductor': 6.9032234706716515, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [13, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [117, 1, [92, 28], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 56, 'field_disc_factorization': [[2, 3], [7, 1]], 'field_poly': [-14, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-13, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321849973, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '117.4.a.c', 'level': 117, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.4.a.b', 'nf_label': '2.2.56.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{2}+(7-2\\beta )q^{4}+(-12+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '117.4.a', 'trace_display': [-2, 0, -24, 0], 'trace_hash': 339482775235607155, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.903', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.416', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, 1], [0, 0], [7, -2], [-12, -2], [0, 0], [0, 2], [-27, 1], [0, 0], [-16, -10], [22, -12], [0, 0], [-13, 0], [28, -2], [0, 0], [-15, -12], [-82, 4], [0, 0], [24, -2], [-28, 10], [0, 0], [-190, 34], [-4, 48], [0, 0], [75, 48], [13, -13], [0, 0], [-56, 14], [-202, -24], [0, 0], [20, 26], [63, -11], [0, 0], [138, -86], [-56, -24], [0, 0], [-50, -28], [-52, 26], [0, 0], [296, 42], [-100, 94], [0, 0], [-308, -52], [490, -128], [0, 0], [676, -52], [162, 32], [0, 0], [-287, 0], [597, 27], [0, 0], [-91, 26], [82, -120], [0, 0], [72, 100], [28, -54], [0, 0], [-134, -178], [-70, 40], [0, 0], [314, -136], [344, -6], [0, 0], [-97, 170], [156, 26], [0, 0], [-236, 170], [-686, 192], [0, 0], [-280, -32], [-214, -84], [0, 0], [-450, -76], [-342, -22], [0, 0], [224, -62], [-336, 44], [0, 0], [-216, 88], [516, 174], [0, 0], [1416, -194], [694, 64], [0, 0], [872, 116], [-420, -256], [0, 0], [-762, 346], [-480, -190], [0, 0], [0, -26], [-1372, 344], [0, 0], [286, 130], [-232, -24], [0, 0], [-266, 220], [287, -287], [0, 0], [-819, 186]], 'ap': [[-1, 1], [0, 0], [-12, -2], [0, 2], [22, -12], [-13, 0], [-82, 4], [24, -2], [-4, 48], [-202, -24], [20, 26], [-50, -28], [-100, 94], [-308, -52], [162, 32], [82, -120], [-70, 40], [314, -136], [-236, 170], [-214, -84], [-450, -76], [-216, 88], [694, 64], [-480, -190], [-266, 220], [182, 28], [-280, -436], [-984, 40], [-30, -280], [-702, 232], [24, 340], [736, -144], [-164, 190], [460, 40], [1080, 290], [-420, -114], [-322, 528], [-1976, -238], [-310, -112], [2862, 260], [-1572, 496], [1286, 288], [-1736, -208], [954, 392], [4252, 102], [2680, 100], [-3852, -48], [4436, -174], [306, -620], [-686, -632], [-3118, -660], [-1942, 876], [2766, -892], [-5256, 312], [-910, -572], [-2628, -840], [3606, -408], [856, 1378], [-1274, 144], [2988, -290], [4236, -564], [5016, -902], [316, -986], [-2484, 896], [-1290, -816], [4692, -378], [6540, -254], [5182, -1144], [-5324, 1640], [382, 1084], [-5252, -498], [2490, -1920], [264, 2400], [178, -1200], [4240, -1770], [-7450, 696], [-7990, -420], [-9730, 612], [2544, 1642], [1254, 348], [1312, 544], [-8350, 1736], [6470, 2024], [5990, -776], [-4032, 1836], [-7264, -2952], [-6984, -1838], [-5114, -1036], [-2692, 1630], [-5680, -486], [640, -2232], [2630, 1820], [-12300, 1642], [-5968, 568], [-11892, -254], [340, -2384], [5020, -1330], [-11398, 8], [-5020, -56], [-2078, -1200], [-9036, -1240], [6480, -2942], [-5780, -3384], [-590, 3780], [9652, 1380], [5522, 4296], [1278, -96], [-16920, -774], [2388, 736], [1126, 3008], [-10696, -3480], [-12762, -3580], [-10316, -3554], [19252, 1094], [10404, 1294], [6974, -4588], [-3628, -502], [5904, 1976], [886, 3088], [11748, -584], [30, 636], [-12246, 5392], [1850, 208], [-4858, -1380], [13084, 2914], [9466, -1524], [-22518, -3616], [-2252, 1656], [-14536, -1580], [8794, -5968], [-916, 4478], [11498, -2628], [17056, 1428], [3594, 5400], [7836, -5754], [-6150, 6000], [-23512, -2678], [21020, -1298], [8850, 8228], [9114, 3928], [20072, 1910], [26624, 4402], [14912, 3108], [31294, 3636], [15522, -6056], [-19754, 6452], [-14642, 1420], [-10510, 4148], [-7692, 10136], [-1162, -848], [-1042, 9548], [-8566, 7172], [-13260, -356], [1240, -8472], [-3932, -1452], [-26104, -1704], [10144, -2632], [3772, 494], [-21418, -2984], [-9928, 298], [-22766, 2496], [11434, 524], [20140, 6802], [-12268, 3208], [24496, -6710], [5222, 14060], [-32864, -6392], [1854, 4480]], 'char_orbit_index': 1, 'field_poly': [-14, 0, 1], 'hecke_orbit_code': 9007199321849973, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '117.4.a.c', 'level': 117, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [13, -1]], 5, 3], [[[3, -1], [13, 1]], 4, 2], [[[3, 1], [13, -1]], 2, 1], [[[3, 1], [13, 1]], 4, 1]], 'ALdims': [4, 2, 4, 5], 'Nk2': 1872, 'analytic_conductor': 6.9032234706716515, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [117, 1, [92, 28], [1, 1]], 'conrey_index': 1, 'cusp_dim': 38, 'dim': 15, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67108981, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 3, 4], 'label': '117.4.a', 'level': 117, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 46, 'mf_new_dim': 15, 'num_forms': 7, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 15, 'sturm_bound': 56, 'trace_bound': 2, 'trace_display': [0, 0, -6, 2], 'traces': [15, 0, 0, 82, -6, 0, 2, 0, 0, -54, 42, 0, -13, 78, 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mf_twists_nf • Show schema
Hide schema
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id: 101413
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '39.4.a.b', 'target_level': 39, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 101414
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '117.4.a.c', 'target_level': 117, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 101415
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.4.a.f', 'target_level': 507, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 101416
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.4.b.f', 'target_level': 507, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 101417
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '624.4.a.r', 'target_level': 624, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 101418
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '975.4.a.j', 'target_level': 975, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 101419
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1521.4.a.s', 'target_level': 1521, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 101420
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1872.4.a.t', 'target_level': 1872, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 101421
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1911.4.a.h', 'target_level': 1911, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 101422
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2496.4.a.s', 'target_level': 2496, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 101423
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '117.4.a.c', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '2496.4.a.bc', 'target_level': 2496, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 333300
{'charpoly_factorization': [[[-13, 2, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 2}
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id: 333301
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199321849973, 'p': 3}
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id: 333302
{'charpoly_factorization': [[[88, 24, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 5}
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id: 333303
{'charpoly_factorization': [[[-56, 0, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 7}
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id: 333304
{'charpoly_factorization': [[[-1532, -44, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 11}
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id: 333305
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 9007199321849973, 'p': 13}
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id: 333306
{'charpoly_factorization': [[[6500, 164, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 17}
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id: 333307
{'charpoly_factorization': [[[520, -48, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 19}
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id: 333308
{'charpoly_factorization': [[[-32240, 8, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 23}
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id: 333309
{'charpoly_factorization': [[[32740, 404, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 29}
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id: 333310
{'charpoly_factorization': [[[-9064, -40, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 31}
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id: 333311
{'charpoly_factorization': [[[-8476, 100, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 37}
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id: 333312
{'charpoly_factorization': [[[-113704, 200, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 41}
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id: 333313
{'charpoly_factorization': [[[57008, 616, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 43}
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id: 333314
{'charpoly_factorization': [[[11908, -324, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 47}
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id: 333315
{'charpoly_factorization': [[[-194876, -164, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 53}
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id: 333316
{'charpoly_factorization': [[[-17500, 140, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 59}
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id: 333317
{'charpoly_factorization': [[[-160348, -628, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 61}
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id: 333318
{'charpoly_factorization': [[[-348904, 472, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 67}
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id: 333319
{'charpoly_factorization': [[[-52988, 428, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 71}
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id: 333320
{'charpoly_factorization': [[[121636, 900, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 73}
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id: 333321
{'charpoly_factorization': [[[-61760, 432, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 79}
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id: 333322
{'charpoly_factorization': [[[424292, -1388, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 83}
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id: 333323
{'charpoly_factorization': [[[-275000, 960, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 89}
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id: 333324
{'charpoly_factorization': [[[-606844, 532, 1], 1]], 'hecke_orbit_code': 9007199321849973, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '117.4.a.c', 'level': 117, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 109809000
{'hecke_orbit_code': 9007199321849973, 'n': 1, 'trace_an': 2}
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id: 109809001
{'hecke_orbit_code': 9007199321849973, 'n': 2, 'trace_an': -2}
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id: 109809002
{'hecke_orbit_code': 9007199321849973, 'n': 3, 'trace_an': 0}
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id: 109809003
{'hecke_orbit_code': 9007199321849973, 'n': 4, 'trace_an': 14}
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id: 109809004
{'hecke_orbit_code': 9007199321849973, 'n': 5, 'trace_an': -24}
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id: 109809005
{'hecke_orbit_code': 9007199321849973, 'n': 6, 'trace_an': 0}
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id: 109809006
{'hecke_orbit_code': 9007199321849973, 'n': 7, 'trace_an': 0}
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id: 109809007
{'hecke_orbit_code': 9007199321849973, 'n': 8, 'trace_an': -54}
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id: 109809986
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id: 109809987
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id: 109809988
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id: 109809989
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id: 109809990
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id: 109809991
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id: 109809992
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id: 109809993
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id: 109809994
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id: 109809995
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id: 109809996
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id: 109809997
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id: 109809998
{'hecke_orbit_code': 9007199321849973, 'n': 999, 'trace_an': 0}
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id: 109809999
{'hecke_orbit_code': 9007199321849973, 'n': 1000, 'trace_an': 26848}