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{'Nk2': 20280, 'analytic_conductor': 40.48415382478915, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 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': [5070, 1, [1691, 4057, 1861], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[7, [2, 1]], [11, [0, 1]], [17, [0, 1]], [31, [8, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953598926, 'hecke_ring_generator_nbound': 1, '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': '5070.2.a.t', 'level': 5070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '390.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/5070/t'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5070.2.a', 'trace_display': [1, 1, -1, -2], 'trace_hash': 730738306333318081, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.994', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.962', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [1], [-1], [1], [-2], [1], [1], [-1], [0], [1], [0], [-2], [-1], [1], [0], [1], [-2], [-1], [-2], [0], [-6], [1], [1], [0], [1], [-2], [0], [-1], [-8], [1], [0], [0], [2], [1], [-2], [-2], [0], [-1], [-6], [-2], [-4], [0], [-1], [-6], [0], [1], [-3], [1], [0], [0], [-6], [1], [0], [-2], [-2], [0], [0], [-1], [14], [-8], [-2], [1], [0], [0], [4], [0], [-6], [2], [0], [1], [4], [-2], [1], [-2], [0], [0], [-16], [-1], [1], [-6], [12], [-2], [0], [-4], [0], [0], [6], [-1], [0], [-6], [-8], [0], [2], [1], [4], [-3], [0], [1]], 'ap': [[1], [1], [-1], [-2], [0], [0], [0], [-2], [-6], [0], [-8], [-2], [-6], [-4], [0], [-6], [0], [14], [4], [0], [4], [-16], [12], [6], [4], [-12], [-16], [-12], [4], [12], [-16], [6], [-6], [8], [-18], [-8], [2], [16], [-12], [18], [-6], [2], [0], [-8], [-18], [-16], [-4], [10], [-12], [4], [0], [0], [-26], [-30], [-12], [30], [12], [-8], [26], [30], [-28], [6], [4], [24], [-10], [18], [-2], [14], [24], [-20], [-6], [24], [8], [26], [34], [-12], [36], [-26], [18], [-14], [6], [-32], [-24], [14], [32], [0], [30], [28], [42], [10], [36], [0], [-2], [6], [-14], [-18], [-6], [-42], [20], [-8], [20], [-30], [24], [6], [32], [16], [-12], [6], [24], [-10], [-40], [22], [18], [-38], [-20], [-6], [4], [6], [30], [-18], [16], [2], [-42], [36], [-26], [36], [-20], [12], [-4], [-50], [-38], [-36], [-40], [-34], [-6], [22], [6], [16], [-30], [-6], [-26], [6], [32], [12], [14], [48], [-26], [-12], [20], [12], [58], [6], [-28], [-30], [-28], [-12], [-16], [54], [2], [-42], [-36], [24], [-50], [-30], [-42], [-36], [-16], [-46], [22], [-30], [-36], [4], [36], [-32], [-40], [54], [-2], [-42], [-52], [-22], [46], [54], [62], [-42], [36], [48], [-34], [-44], [34], [-24], [50], [12], [-4], [-42], [24], [36], [-38], [50], [54], [6], [-30], [-40], [34], [-34], [24], [30], [64], [48], [-6], [-4], [38], [-48], [-28], [36], [0], [-26], [44], [-42], [-36], [18], [-46], [-44], [-54], [-74], [-48], [-46], [0], [-60], [-28], [-24], [2], [20], [40], [-18], [-4], [36], [-38], [66], [-6], [-36], [36], [-52], [-4], [16], [54], [0], [-14], [60], [-2], [54], [-50], [30], [24], [26], [-54], [36], [38], [-8], [-6], [-20], [-28], [12], [28], [14], [-66], [-64], [42], [6], [4], [78], [26], [-32], [64], [32], [26], [-74], [-12], [-80], [10], [-78], [-18], [4], [54], [28], [4], [12], [38], [54], [-20], [-54], [-24], [12], [6], [12], [38], [36], [-64], [6], [-66], [-56], [38], [-42], [-16], [48], [-52], [-80], [-12], [-22], [24], [38], [-6], [-30], [6], [20], [-48], [-22], [24], [0], [76], [-6], [32], [4], [-60], [-86], [54], [14], [-62], [-44], [-18], [18], [-8], [-18], [80], [-84], [46], [60], [-80], [42], [58], [-16], [82], [60], [6], [-40], [-66], [-90], [-10], [28], [-48], [-90], [-38], [-56], [6], [-52], [-22], [24], [0], [-72], [-48], [24], [82], [42], [-18], [60], [-4], [-34], [-18], [58], [74], [6], [-64], [-84], [-24], [32], [38], [-84], [-48], [16], [6], [38], [-18], [-78], [-38], [54], [-38], [-48], [-44], [-10], [28], [-42], [-26], [90], [0], [-28], [-96], [-34], [-56], [-30], [68], [-54], [40], [60], [34], [6], [18], [56], [-2], [-18], [40], [-12], [86], [-6], [-24], [8], [74], [-96], [96], [-16], [-42], [-42], [-48], [82], [48], [42], [52], [66], [60], [54], [-86], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 85568392953598926, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5070.2.a.t', 'level': 5070, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 3, 1], [[[2, -1], [3, 1], [5, 1], [13, -1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [13, -1]], 7, 4], [[[2, -1], [3, 1], [5, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [5, -1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [13, 1]], 4, 2], [[[2, 1], [3, -1], [5, -1], [13, -1]], 9, 3], [[[2, 1], [3, 1], [5, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 3, 1], [[[2, 1], [3, 1], [5, 1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [13, 1]], 6, 4], [[[2, 1], [3, -1], [5, -1], [13, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [13, -1]], 9, 3], [[[2, -1], [3, -1], [5, -1], [13, 1]], 9, 6], [[[2, 1], [3, 1], [5, -1], [13, 1]], 6, 4], [[[2, 1], [3, -1], [5, 1], [13, 1]], 9, 5]], 'ALdims': [6, 7, 6, 7, 9, 3, 4, 9, 6, 7, 6, 7, 4, 9, 9, 3], 'Nk2': 20280, 'analytic_conductor': 40.48415382478915, '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': [5070, 1, [1691, 4057, 1861], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1037, 'dim': 102, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 31], 'hecke_orbit_code': 33559502, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], 'label': '5070.2.a', 'level': 5070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1148, 'mf_new_dim': 102, 'num_forms': 53, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 102, 'sturm_bound': 2184, 'trace_bound': 11, 'trace_display': [0, -2, 0, -4], 'traces': [102, 0, -2, 102, 0, 0, -4, 0, 102, -2, -12, -2, 0, -12, 0, 102, -8, 0, 0, 0, -4, -12, -8, 0, 102, 0, -2, -4, 8, -2, -8, 0, 12, 4, 4, 102, 16, -8, 0, -2, 12, 4, -8, -12, 0, -8, 16, -2, 102, 0, -8, 0, 16, 0, -12, 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mf_twists_nf • Show schema
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id: 1240842
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '390.2.a.d', 'target_level': 390, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1240843
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1170.2.a.k', 'target_level': 1170, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1240844
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1950.2.a.o', 'target_level': 1950, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1240845
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.e.d', 'target_level': 1950, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1240846
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3120.2.a.j', 'target_level': 3120, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1240847
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5070.2.a.t', 'target_level': 5070, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1240848
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '5070.2.b.m', 'target_level': 5070, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1240849
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '5850.2.a.g', 'target_level': 5850, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1240850
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5850.2.e.o', 'target_level': 5850, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1240851
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '5070.2.a.t', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '9360.2.a.g', 'target_level': 9360, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3789800
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 2}
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id: 3789801
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 3}
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id: 3789802
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 5}
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id: 3789803
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 7}
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id: 3789804
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 11}
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id: 3789805
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 13}
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id: 3789806
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 17}
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id: 3789807
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 19}
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id: 3789808
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 23}
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id: 3789809
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 29}
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id: 3789810
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 31}
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id: 3789811
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 37}
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id: 3789812
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 41}
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id: 3789813
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 43}
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id: 3789814
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 47}
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id: 3789815
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 53}
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id: 3789816
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 59}
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id: 3789817
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 61}
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id: 3789818
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 67}
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id: 3789819
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 71}
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id: 3789820
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 73}
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id: 3789821
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 79}
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id: 3789822
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 83}
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id: 3789823
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 89}
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id: 3789824
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953598926, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '5070.2.a.t', 'level': 5070, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 247111000
{'hecke_orbit_code': 85568392953598926, 'n': 1, 'trace_an': 1}
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id: 247111001
{'hecke_orbit_code': 85568392953598926, 'n': 2, 'trace_an': 1}
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id: 247111002
{'hecke_orbit_code': 85568392953598926, 'n': 3, 'trace_an': 1}
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id: 247111003
{'hecke_orbit_code': 85568392953598926, 'n': 4, 'trace_an': 1}
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id: 247111004
{'hecke_orbit_code': 85568392953598926, 'n': 5, 'trace_an': -1}
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id: 247111005
{'hecke_orbit_code': 85568392953598926, 'n': 6, 'trace_an': 1}
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id: 247111006
{'hecke_orbit_code': 85568392953598926, 'n': 7, 'trace_an': -2}
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id: 247111007
{'hecke_orbit_code': 85568392953598926, 'n': 8, 'trace_an': 1}
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id: 247111008
{'hecke_orbit_code': 85568392953598926, 'n': 9, 'trace_an': 1}
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id: 247111009
{'hecke_orbit_code': 85568392953598926, 'n': 10, 'trace_an': -1}
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id: 247111010
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{'hecke_orbit_code': 85568392953598926, 'n': 971, 'trace_an': -30}
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id: 247111971
{'hecke_orbit_code': 85568392953598926, 'n': 972, 'trace_an': 1}
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id: 247111972
{'hecke_orbit_code': 85568392953598926, 'n': 973, 'trace_an': -16}
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id: 247111973
{'hecke_orbit_code': 85568392953598926, 'n': 974, 'trace_an': -2}
-
id: 247111974
{'hecke_orbit_code': 85568392953598926, 'n': 975, 'trace_an': 0}
-
id: 247111975
{'hecke_orbit_code': 85568392953598926, 'n': 976, 'trace_an': 14}
-
id: 247111976
{'hecke_orbit_code': 85568392953598926, 'n': 977, 'trace_an': -42}
-
id: 247111977
{'hecke_orbit_code': 85568392953598926, 'n': 978, 'trace_an': 16}
-
id: 247111978
{'hecke_orbit_code': 85568392953598926, 'n': 979, 'trace_an': 0}
-
id: 247111979
{'hecke_orbit_code': 85568392953598926, 'n': 980, 'trace_an': 3}
-
id: 247111980
{'hecke_orbit_code': 85568392953598926, 'n': 981, 'trace_an': 4}
-
id: 247111981
{'hecke_orbit_code': 85568392953598926, 'n': 982, 'trace_an': 6}
-
id: 247111982
{'hecke_orbit_code': 85568392953598926, 'n': 983, 'trace_an': -36}
-
id: 247111983
{'hecke_orbit_code': 85568392953598926, 'n': 984, 'trace_an': -6}
-
id: 247111984
{'hecke_orbit_code': 85568392953598926, 'n': 985, 'trace_an': 18}
-
id: 247111985
{'hecke_orbit_code': 85568392953598926, 'n': 986, 'trace_an': 0}
-
id: 247111986
{'hecke_orbit_code': 85568392953598926, 'n': 987, 'trace_an': 0}
-
id: 247111987
{'hecke_orbit_code': 85568392953598926, 'n': 988, 'trace_an': 0}
-
id: 247111988
{'hecke_orbit_code': 85568392953598926, 'n': 989, 'trace_an': 24}
-
id: 247111989
{'hecke_orbit_code': 85568392953598926, 'n': 990, 'trace_an': 0}
-
id: 247111990
{'hecke_orbit_code': 85568392953598926, 'n': 991, 'trace_an': -16}
-
id: 247111991
{'hecke_orbit_code': 85568392953598926, 'n': 992, 'trace_an': -8}
-
id: 247111992
{'hecke_orbit_code': 85568392953598926, 'n': 993, 'trace_an': -2}
-
id: 247111993
{'hecke_orbit_code': 85568392953598926, 'n': 994, 'trace_an': 0}
-
id: 247111994
{'hecke_orbit_code': 85568392953598926, 'n': 995, 'trace_an': 16}
-
id: 247111995
{'hecke_orbit_code': 85568392953598926, 'n': 996, 'trace_an': 12}
-
id: 247111996
{'hecke_orbit_code': 85568392953598926, 'n': 997, 'trace_an': -46}
-
id: 247111997
{'hecke_orbit_code': 85568392953598926, 'n': 998, 'trace_an': -14}
-
id: 247111998
{'hecke_orbit_code': 85568392953598926, 'n': 999, 'trace_an': -2}
-
id: 247111999
{'hecke_orbit_code': 85568392953598926, 'n': 1000, 'trace_an': -1}