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mf_newforms • Show schema
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{'Nk2': 2352, 'analytic_conductor': 8.67328077084387, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [147, 3, [50, 52], [3, 2]], 'cm_discs': [], 'conrey_index': 67, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -2, 5, 2, 1]], [5, [4, 40, 398, 20, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036271218720915, 'hecke_ring_generator_nbound': 3, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '147.4.e.k', 'level': 147, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '147.4.a.j', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{1}-\\beta _{2})q^{2}-3\\beta _{2}q^{3}+(-2\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '147.4.e', 'trace_display': [-2, 6, -20, 0], 'trace_hash': 165653433885756771, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.749', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53.336', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [-1, 1, -1, 0], [0, 0, -3, 0], [0, -2, -5, -2], [-10, 7, -10, 0], [-3, 0, 0, -3], [0, 0, 0, 0], [-9, 0, 0, -11], [-9, 0, -9, 0], [0, -17, 24, -17], [0, -24, -10, -24], [-15, -6, -15, 0], [52, 0, 0, 25], [0, 0, 0, 0], [-30, 0, 0, -21], [-9, -36, -9, 0], [0, 45, 58, 45], [0, -9, 9, -9], [-96, -22, -96, 0], [-22, 0, 0, -15], [0, 0, 0, 0], [38, 0, 0, 14], [-14, -28, -14, 0], [0, -33, 27, -33], [0, -140, 73, -140], [-102, 77, -102, 0], [-27, 0, 0, 0], [0, 0, 0, 0], [148, 0, 0, -62], [72, -51, 72, 0], [0, 50, -52, 50], [0, -61, 9, -61], [-30, -72, -30, 0], [-32, 0, 0, 13], [0, 0, 0, 0], [-45, 0, 0, 18], [124, 48, 124, 0], [0, -74, 52, -74], [0, 75, -156, 75], [244, -173, 244, 0], [10, 0, 0, -219], [0, 0, 0, 0], [-360, 0, 0, -100], [-146, -140, -146, 0], [0, -63, 90, -63], [0, 14, -42, 14], [48, 250, 48, 0], [-27, 0, 0, 108], [0, 0, 0, 0], [353, 0, 0, 213], [174, 135, 174, 0], [0, 21, -160, 21], [0, 360, 134, 360], [27, -27, 27, 0], [236, 0, 0, 170], [0, 0, 0, 0], [-288, 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-12612], [8274, 0, 0, 15460], [0, -19065, -3684, -19065], [-8496, 0, 0, -706], [-11520, 0, 0, -829], [0, -7303, 11878, -7303], [-17504, 1638, -17504, 0], [-38982, -1816, -38982, 0], [-23640, -2968, -23640, 0], [-13886, 0, 0, -7989], [-10216, 0, 0, 4360], [-9312, 22834, -9312, 0], [0, -6768, -13144, -6768], [32190, 0, 0, -1932], [-4196, -5308, -4196, 0], [42282, 7647, 42282, 0], [-28192, 0, 0, 7657], [0, 12831, 12598, 12831], [10830, -19184, 10830, 0], [-10766, 0, 0, 528], [4828, 0, 0, 16268], [23276, 3536, 23276, 0], [0, 10282, -28488, 10282], [0, -1408, 28568, -1408], [0, 21636, -14348, 21636], [0, -16907, 5096, -16907]], 'char_orbit_index': 5, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 45036271218720915, 'hecke_ring_character_values': [[50, [1, 0, 0, 0]], [52, [-1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '147.4.e.k', 'level': 147, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 2352, 'analytic_conductor': 8.67328077084387, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [147, 3, [50, 52], [3, 2]], 'conrey_index': 67, 'cusp_dim': 96, 'dim': 40, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 274945015955, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6], 'label': '147.4.e', 'level': 147, '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': [3, 7], 'level_radical': 21, 'mf_dim': 128, 'mf_new_dim': 40, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 20, 'sturm_bound': 74, 'trace_bound': 5, 'trace_display': [-4, -6, 8, 0], 'traces': [40, -4, -6, -60, 8, 24, 0, -156, -180, -46, 40, -72, 4, 0, 84, -164, 132, -36, -218, -872, 0, -180, 208, -54, -686, 466, 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12856, 104352, -71532, -142346, 86090, 73908, 0, -213544, -25686, -6416, 48300, 27780, 220864, 0, -72924, -22912, -21078, 16308, -61898, -84080, 0, -299808, 64950, 9576, 174230, 43464, 11664, 0, -307412, 155610, -84592, 79200, -72804, 44152, 0, 9612, 39326, 88872, -155016, 45604, -27240, 0, -211056, -133424, 1764, -14740, -12516, 37284, 0, -718160, -208134, 36970, 361122, -15606, 190380], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 125103
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '147.4.a.j', 'target_level': 147, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 125104
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '147.4.a.k', 'target_level': 147, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 125105
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '147.4.e.j', 'target_level': 147, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 125106
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '147.4.e.j', 'target_level': 147, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 125107
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '147.4.e.k', 'target_level': 147, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 125108
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '147.4.e.k', 'target_level': 147, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 125109
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '441.4.a.n', 'target_level': 441, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 125110
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '441.4.a.o', 'target_level': 441, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 125111
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '441.4.e.u', 'target_level': 441, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 125112
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '441.4.e.u', 'target_level': 441, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 125113
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '441.4.e.v', 'target_level': 441, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 125114
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '441.4.e.v', 'target_level': 441, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 125115
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '2352.4.a.bl', 'target_level': 2352, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 125116
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '147.4.e.k', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '2352.4.a.cf', 'target_level': 2352, 'twist_class_label': '147.4.a.j', 'twist_class_level': 147, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 391575
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 2}
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id: 391576
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 45036271218720915, 'p': 3}
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id: 391577
{'charpoly_factorization': [[[4, 40, 398, 20, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 5}
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id: 391578
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036271218720915, 'p': 7}
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id: 391579
{'charpoly_factorization': [[[1106704, 21040, 1452, -20, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 11}
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id: 391580
{'charpoly_factorization': [[[1454, -104, 1], 2]], 'hecke_orbit_code': 45036271218720915, 'p': 13}
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id: 391581
{'charpoly_factorization': [[[470596, -79576, 14142, 116, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 17}
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id: 391582
{'charpoly_factorization': [[[68029504, 1583616, 28616, 192, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 19}
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id: 391583
{'charpoly_factorization': [[[1882384, -38416, 2156, 28, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 23}
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id: 391584
{'charpoly_factorization': [[[14216, -296, 1], 2]], 'hecke_orbit_code': 45036271218720915, 'p': 29}
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id: 391585
{'charpoly_factorization': [[[5271616, 238784, 13112, -104, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 31}
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id: 391586
{'charpoly_factorization': [[[115949824, -2670464, 50736, -248, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 37}
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id: 391587
{'charpoly_factorization': [[[-95822, -20, 1], 2]], 'hecke_orbit_code': 45036271218720915, 'p': 41}
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id: 391588
{'charpoly_factorization': [[[109600, 720, 1], 2]], 'hecke_orbit_code': 45036271218720915, 'p': 43}
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id: 391589
{'charpoly_factorization': [[[15054308416, 11778816, 131912, -96, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 47}
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id: 391590
{'charpoly_factorization': [[[58198667536, -64653392, 313068, 268, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 53}
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id: 391591
{'charpoly_factorization': [[[53114944, 4489408, 386744, -616, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 59}
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id: 391592
{'charpoly_factorization': [[[2116, 736, 210, 16, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 61}
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id: 391593
{'charpoly_factorization': [[[295901185024, 78331392, 564704, -144, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 67}
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id: 391594
{'charpoly_factorization': [[[136388, -988, 1], 2]], 'hecke_orbit_code': 45036271218720915, 'p': 71}
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id: 391595
{'charpoly_factorization': [[[101695934404, -33165392, 329714, 104, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 73}
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id: 391596
{'charpoly_factorization': [[[12408177664, -105154048, 779744, -944, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 79}
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id: 391597
{'charpoly_factorization': [[[245264, -1016, 1], 2]], 'hecke_orbit_code': 45036271218720915, 'p': 83}
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id: 391598
{'charpoly_factorization': [[[36943146436, 74575928, 342750, -388, 1], 1]], 'hecke_orbit_code': 45036271218720915, 'p': 89}
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id: 391599
{'charpoly_factorization': [[[-658066, -488, 1], 2]], 'hecke_orbit_code': 45036271218720915, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 11, 'label': '147.4.e.k', 'level': 147, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 55480555
{'hecke_orbit_code': 45036271218720915, 'n': 1, 'trace_an': 4}
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id: 55480556
{'hecke_orbit_code': 45036271218720915, 'n': 2, 'trace_an': -2}
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id: 55480557
{'hecke_orbit_code': 45036271218720915, 'n': 3, 'trace_an': 6}
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id: 55480558
{'hecke_orbit_code': 45036271218720915, 'n': 4, 'trace_an': 10}
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id: 55480559
{'hecke_orbit_code': 45036271218720915, 'n': 5, 'trace_an': -20}
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id: 55480560
{'hecke_orbit_code': 45036271218720915, 'n': 6, 'trace_an': -12}
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id: 55480561
{'hecke_orbit_code': 45036271218720915, 'n': 7, 'trace_an': 0}
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id: 55480562
{'hecke_orbit_code': 45036271218720915, 'n': 8, 'trace_an': -36}
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id: 55480563
{'hecke_orbit_code': 45036271218720915, 'n': 9, 'trace_an': -18}
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id: 55480564
{'hecke_orbit_code': 45036271218720915, 'n': 10, 'trace_an': -48}
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id: 55480565
{'hecke_orbit_code': 45036271218720915, 'n': 11, 'trace_an': 20}
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id: 55480566
{'hecke_orbit_code': 45036271218720915, 'n': 12, 'trace_an': -30}
-
id: 55480567
{'hecke_orbit_code': 45036271218720915, 'n': 13, 'trace_an': 208}
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id: 55480568
{'hecke_orbit_code': 45036271218720915, 'n': 14, 'trace_an': 0}
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id: 55480569
{'hecke_orbit_code': 45036271218720915, 'n': 15, 'trace_an': -120}
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id: 55480570
{'hecke_orbit_code': 45036271218720915, 'n': 16, 'trace_an': -18}
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id: 55480571
{'hecke_orbit_code': 45036271218720915, 'n': 17, 'trace_an': -116}
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id: 55480572
{'hecke_orbit_code': 45036271218720915, 'n': 18, 'trace_an': -18}
-
id: 55480573
{'hecke_orbit_code': 45036271218720915, 'n': 19, 'trace_an': -192}
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id: 55480574
{'hecke_orbit_code': 45036271218720915, 'n': 20, 'trace_an': -88}
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id: 55480575
{'hecke_orbit_code': 45036271218720915, 'n': 21, 'trace_an': 0}
-
id: 55480576
{'hecke_orbit_code': 45036271218720915, 'n': 22, 'trace_an': 152}
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id: 55480577
{'hecke_orbit_code': 45036271218720915, 'n': 23, 'trace_an': -28}
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id: 55480578
{'hecke_orbit_code': 45036271218720915, 'n': 24, 'trace_an': -54}
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id: 55480579
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