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mf_newforms • Show schema
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{'Nk2': 624, 'analytic_conductor': 2.301074490223884, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [39, 3, [14, 28], [3, 1]], 'cm_discs': [], 'conrey_index': 16, 'conrey_indexes': [16, 22], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274945015847, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '39.4.e.a', 'level': 39, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.4.e.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-3+3\\zeta_{6})q^{2}+(-3+3\\zeta_{6})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '39.4.e', 'trace_display': [-3, -3, -18, -2], 'trace_hash': 1891022624787187164, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.882', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.115', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.313', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.939', 'prec': 17}, {'__RealLiteral__': 0, 'data': '105.129', 'prec': 24}], 'trace_zratio': 0, 'traces': [2, -3, -3, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-3, 3], [-3, 3], [0, -1], [-9, 0], [0, -9], [0, -2], [-21, 0], [0, -9], [27, -27], [-30, 30], [3, 0], [13, 39], [6, 0], [27, -27], [71, -71], [0, 111], [27, 0], [0, 46], [0, 9], [6, 0], [0, -90], [6, -6], [63, -63], [-44, 0], [-156, 39], [27, 0], [-2, 2], [105, -105], [0, 81], [-100, 0], [0, 45], [0, -90], [-333, 0], [0, 18], [-9, 9], [-17, 17], [-138, 0], [-156, 39], [189, 0], [231, -231], [-18, 18], [0, 514], [30, 0], [0, 81], [0, 18], [-162, 0], [0, 213], [339, -339], [132, -132], [-333, 0], [39, -52], [639, 0], [-81, 81], [270, -270], [0, 42], [-138, 0], [0, 315], [0, -600], [-27, 0], [0, -233], [300, -300], [-18, 18], [433, 0], [-117, -351], [270, 0], [-926, 926], [111, -111], [0, 18], [-54, 0], [0, 930], [0, 189], [-253, 0], [0, -51], [132, -132], [46, -46], [60, 0], [351, -468], [-1324, 0], [-639, 639], [-81, 81], [0, 693], [810, 0], [0, -6], [0, -999], [-1542, 0], [0, 315], [630, -630], [-498, 498], [-243, 0], [78, -104], [-6, 0], [300, -300], [486, -486], [0, -414], [-135, 0], [0, -1358], [0, 1017], [270, 0], [0, 44]], 'ap': [[-3, 3], [-3, 3], [-9, 0], [0, -2], [-30, 30], [13, 39], [0, 111], [0, 46], [6, -6], [105, -105], [-100, 0], [-17, 17], [231, -231], [0, 514], [-162, 0], [639, 0], [0, -600], [0, -233], [-926, 926], [0, 930], [-253, 0], [-1324, 0], [810, 0], [-498, 498], [0, -1358], [357, -357], [1118, 0], [-714, 714], [2006, 0], [0, 1119], [604, -604], [-1584, 0], [0, -717], [0, 820], [0, 1749], [-370, 0], [-2611, 0], [0, 1636], [-264, 264], [0, -1410], [474, -474], [2249, 0], [0, -3444], [4273, -4273], [1986, -1986], [0, 2386], [1600, -1600], [3832, -3832], [0, 1398], [4466, 0], [-1638, 0], [-594, 0], [0, -2303], [0, -6324], [-7833, 7833], [3030, -3030], [0, 534], [3688, -3688], [0, -1865], [2997, 0], [4114, -4114], [0, 4665], [1502, 0], [2106, 0], [-3898, 0], [9351, 0], [0, 9172], [-11089, 0], [0, -9762], [8290, -8290], [-12405, 12405], [-1098, 0], [5734, -5734], [0, 8971], [-7244, 7244], [0, 6312], [3627, 0], [0, 3898], [5703, -5703], [0, -6311], [2328, -2328], [2045, 0], [-5034, 5034], [0, -4283], [1306, -1306], [-5796, 0], [0, -2706], [829, -829], [0, 5493], [-15346, 0], [-9594, 0], [12840, -12840], [0, 14086], [-11694, 11694], [-3688, 0], [0, 4746], [14505, -14505], [5085, 0], [10882, -10882], [-4699, 0], [8270, 0], [22785, -22785], [0, 11928], [7962, -7962], [20618, 0], [-3493, 0], [-10416, 10416], [2061, 0], [12456, 0], [781, -781], [0, -19304], [-12041, 12041], [0, -9717], [-21040, 0], [0, 5068], [0, -10185], [0, -25928], [-23160, 23160], [-16626, 16626], [0, 14808], [-4853, 4853], [16165, -16165], [-25686, 0], [0, 19056], [16390, -16390], [-27846, 0], [0, 12283], [0, -25512], [6110, 0], [-27127, 0], [880, -880], [21876, -21876], [-11798, 11798], [8074, -8074], [0, -19554], [-14030, 14030], [0, -36042], [0, -28628], [0, 37434], [-37569, 37569], [5516, 0], [-8778, 8778], [0, 3088], [13176, 0], [2359, -2359], [0, 2676], [2477, 0], [-17199, 0], [24338, 0], [25146, 0], [0, -18089], [15099, -15099], [33488, 0], [39768, -39768], [-32156, 32156], [11520, 0], [0, -4952], [0, -8781], [50039, 0], [-50670, 0], [-42384, 42384], [0, 50538], [-6886, 0], [0, -9060], [28311, -28311], [4284, 0], [2458, -2458], [0, -24101]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 274945015847, 'hecke_ring_character_values': [[14, [1, 0]], [28, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '39.4.e.a', 'level': 39, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 624, 'analytic_conductor': 2.301074490223884, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [39, 3, [14, 28], [3, 1]], 'conrey_index': 16, 'cusp_dim': 24, 'dim': 12, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274945015847, 'hecke_orbit_dims': [2, 2, 8], 'label': '39.4.e', 'level': 39, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 32, 'mf_new_dim': 12, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 6, 'sturm_bound': 18, 'trace_bound': 2, 'trace_display': [-4, 6, -16, 22], 'traces': [12, -4, 6, -16, -16, 0, 22, 96, -54, 96, -48, -168, -86, 112, -12, -92, -24, 72, -108, 524, 36, -332, 64, 180, -356, -324, -108, 72, 24, -84, 244, -448, 96, 1384, 0, -144, -132, 328, 264, -1408, 1000, 72, 310, 280, 72, 28, 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mf_twists_nf • Show schema
Hide schema
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id: 31375
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.4.e.a', 'target_level': 39, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 31376
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.4.e.a', 'target_level': 39, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 31377
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '117.4.g.b', 'target_level': 117, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 31378
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '117.4.g.b', 'target_level': 117, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 31379
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.4.a.a', 'target_level': 507, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 31380
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.4.a.e', 'target_level': 507, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 31381
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.4.b.c', 'target_level': 507, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 31382
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '624.4.q.b', 'target_level': 624, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 31383
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '624.4.q.b', 'target_level': 624, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 31384
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1521.4.a.c', 'target_level': 1521, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 31385
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '39.4.e.a', 'source_level': 39, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1521.4.a.j', 'target_level': 1521, 'twist_class_label': '39.4.e.a', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 135850
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 2}
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id: 135851
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 3}
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id: 135852
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 274945015847, 'p': 5}
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id: 135853
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 7}
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id: 135854
{'charpoly_factorization': [[[900, 30, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 11}
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id: 135855
{'charpoly_factorization': [[[2197, -65, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 13}
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id: 135856
{'charpoly_factorization': [[[12321, -111, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 17}
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id: 135857
{'charpoly_factorization': [[[2116, -46, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 19}
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id: 135858
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 23}
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id: 135859
{'charpoly_factorization': [[[11025, -105, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 29}
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id: 135860
{'charpoly_factorization': [[[100, 1], 2]], 'hecke_orbit_code': 274945015847, 'p': 31}
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id: 135861
{'charpoly_factorization': [[[289, 17, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 37}
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id: 135862
{'charpoly_factorization': [[[53361, -231, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 41}
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id: 135863
{'charpoly_factorization': [[[264196, -514, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 43}
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id: 135864
{'charpoly_factorization': [[[162, 1], 2]], 'hecke_orbit_code': 274945015847, 'p': 47}
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id: 135865
{'charpoly_factorization': [[[-639, 1], 2]], 'hecke_orbit_code': 274945015847, 'p': 53}
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id: 135866
{'charpoly_factorization': [[[360000, 600, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 59}
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id: 135867
{'charpoly_factorization': [[[54289, 233, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 61}
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id: 135868
{'charpoly_factorization': [[[857476, 926, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 67}
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id: 135869
{'charpoly_factorization': [[[864900, -930, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 71}
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id: 135870
{'charpoly_factorization': [[[253, 1], 2]], 'hecke_orbit_code': 274945015847, 'p': 73}
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id: 135871
{'charpoly_factorization': [[[1324, 1], 2]], 'hecke_orbit_code': 274945015847, 'p': 79}
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id: 135872
{'charpoly_factorization': [[[-810, 1], 2]], 'hecke_orbit_code': 274945015847, 'p': 83}
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id: 135873
{'charpoly_factorization': [[[248004, 498, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 89}
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id: 135874
{'charpoly_factorization': [[[1844164, 1358, 1], 1]], 'hecke_orbit_code': 274945015847, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '39.4.e.a', 'level': 39, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30056000
{'hecke_orbit_code': 274945015847, 'n': 1, 'trace_an': 2}
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id: 30056001
{'hecke_orbit_code': 274945015847, 'n': 2, 'trace_an': -3}
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id: 30056002
{'hecke_orbit_code': 274945015847, 'n': 3, 'trace_an': -3}
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id: 30056003
{'hecke_orbit_code': 274945015847, 'n': 4, 'trace_an': -1}
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id: 30056004
{'hecke_orbit_code': 274945015847, 'n': 5, 'trace_an': -18}
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id: 30056005
{'hecke_orbit_code': 274945015847, 'n': 6, 'trace_an': -9}
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id: 30056006
{'hecke_orbit_code': 274945015847, 'n': 7, 'trace_an': -2}
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id: 30056007
{'hecke_orbit_code': 274945015847, 'n': 8, 'trace_an': -42}
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id: 30056008
{'hecke_orbit_code': 274945015847, 'n': 9, 'trace_an': -9}
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id: 30056009
{'hecke_orbit_code': 274945015847, 'n': 10, 'trace_an': 27}
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id: 30056010
{'hecke_orbit_code': 274945015847, 'n': 11, 'trace_an': -30}
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id: 30056011
{'hecke_orbit_code': 274945015847, 'n': 12, 'trace_an': 6}
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id: 30056012
{'hecke_orbit_code': 274945015847, 'n': 13, 'trace_an': 65}
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id: 30056013
{'hecke_orbit_code': 274945015847, 'n': 14, 'trace_an': 12}
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id: 30056014
{'hecke_orbit_code': 274945015847, 'n': 15, 'trace_an': 27}
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id: 30056015
{'hecke_orbit_code': 274945015847, 'n': 16, 'trace_an': 71}
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id: 30056016
{'hecke_orbit_code': 274945015847, 'n': 17, 'trace_an': 111}
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id: 30056017
{'hecke_orbit_code': 274945015847, 'n': 18, 'trace_an': 54}
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id: 30056018
{'hecke_orbit_code': 274945015847, 'n': 19, 'trace_an': 46}
-
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