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{'Nk2': 28416, 'analytic_conductor': 56.72572559591759, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [37, 1]], 'atkin_lehner_string': '--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7104, 1, [3775, 6661, 2369, 3073], [1, 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': [[5, [0, 1]], [7, [-1, 1]], [11, [-3, 1]], [19, [7, 1]], [23, [3, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580971456, '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': '7104.2.a.u', 'level': 7104, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 37], 'level_radical': 222, 'minimal_twist': '222.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{7}+q^{9}+3q^{11}+q^{13}-3q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/7104/u'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7104.2.a', 'trace_display': [0, 1, 0, 1], 'trace_hash': 1816069932917956625, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [1], [0], [1], [0], [3], [0], [1], [0], [0], [0], [-3], [0], [-7], [0], [1], [0], [-3], [0], [-5], [0], [1], [0], [0], [0], [-2], [0], [3], [0], [0], [0], [-1], [0], [1], [0], [-6], [0], [-4], [0], [0], [0], [-6], [0], [-6], [0], [-3], [0], [-9], [0], [0], [0], [-7], [0], [0], [0], [10], [0], [1], [0], [0], [0], [2], [0], [-3], [0], [-12], [0], [5], [0], [-5], [0], [3], [0], [-2], [0], [1], [0], [3], [0], [0], [0], [0], [0], [-3], [0], [1], [0], [-2], [0], [0], [0], [2], [0], [3], [0]], 'ap': [[0], [1], [0], [1], [3], [1], [-3], [-7], [-3], [0], [-2], [-1], [-6], [-4], [-6], [-9], [0], [10], [2], [-12], [5], [-2], [3], [-3], [2], [-6], [-14], [9], [-5], [-6], [-5], [18], [-12], [14], [18], [-5], [-8], [11], [15], [9], [12], [-20], [9], [26], [21], [28], [-28], [16], [-24], [16], [30], [24], [-28], [18], [-27], [-6], [-15], [-8], [-17], [9], [-1], [-9], [-16], [0], [-10], [-30], [-4], [5], [6], [-26], [-6], [-30], [25], [-20], [-16], [-21], [6], [-8], [-3], [-22], [-15], [10], [39], [-25], [10], [36], [-18], [8], [6], [34], [6], [39], [-38], [15], [-13], [24], [-21], [18], [8], [-11], [-13], [-30], [36], [-21], [-4], [38], [0], [24], [6], [-25], [-14], [-2], [-24], [38], [-20], [-12], [5], [-3], [-24], [24], [25], [-19], [-27], [18], [-40], [24], [25], [-24], [-8], [34], [38], [36], [-32], [-5], [54], [-16], [21], [-34], [-12], [-27], [-52], [-45], [-17], [-18], [-17], [12], [37], [-21], [-13], [18], [58], [0], [-25], [-18], [23], [-24], [-38], [18], [38], [6], [6], [-24], [-44], [-12], [-3], [18], [16], [-53], [-22], [-36], [48], [22], [24], [-19], [-41], [54], [56], [39], [16], [-8], [28], [0], [49], [18], [-6], [33], [-2], [-55], [-22], [12], [38], [-48], [29], [-39], [-36], [36], [-52], [46], [-6], [-33], [18], [-5], [4], [14], [36], [42], [19], [-39], [-3], [50], [38], [60], [16], [-3], [-39], [-43], [10], [18], [9], [-27], [-50], [-41], [-18], [-38], [-48], [37], [-6], [48], [-8], [-48], [58], [-46], [-11], [66], [26], [54], [5], [0], [54], [36], [-12], [41], [-53], [-71], [6], [-39], [46], [54], [14], [15], [-59], [-78], [30], [38], [-48], [-72], [-14], [8], [-57], [-28], [-56], [12], [-32], [52], [81], [-4], [-51], [54], [-28], [42], [13], [-25], [74], [-68], [35], [79], [63], [34], [-61], [24], [30], [4], [-78], [-8], [-28], [48], [44], [-6], [-20], [9], [-48], [-12], [36], [-27], [46], [-6], [-5], [27], [60], [56], [-46], [66], [16], [48], [-49], [-22], [6], [22], [-60], [-59], [-36], [75], [36], [14], [-57], [-70], [-27], [-9], [14], [-81], [-13], [-67], [-90], [-11], [-48], [56], [2], [-28], [3], [18], [-14], [-72], [-8], [6], [11], [72], [4], [-18], [56], [52], [-26], [72], [54], [-62], [60], [-66], [-20], [68], [-36], [-42], [14], [35], [60], [64], [-80], [54], [-75], [60], [-48], [12], [-86], [-12], [-93], [18], [98], [-64], [-36], [-62], [20], [72], [-52], [-66], [57], [-50], [-8], [-33], [36], [53], [-81], [5], [18], [-87], [-20], [-36], [32], [-36], [-17], [-86], [-4], [63], [65], [54], [-30], [35], [72], [-91], [-38], [-60], [62], [3], [76], [9], [-20], [-90], [-30], [67], [7], [0], [-88], [36], [35], [-33], [78], [95], [68], [-57], [-12], [43], [-6], [-72], [-24], [97], [-18], [39], [29], [-90], [-99], [90], [2], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 90071992580971456, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7104.2.a.u', 'level': 7104, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [37, -1]], 21, 10], [[[2, -1], [3, 1], [37, 1]], 19, 9], [[[2, 1], [3, -1], [37, -1]], 15, 6], [[[2, 1], [3, 1], [37, 1]], 17, 7], [[[2, -1], [3, 1], [37, -1]], 17, 9], [[[2, 1], [3, 1], [37, -1]], 19, 7], [[[2, -1], [3, -1], [37, 1]], 15, 7], [[[2, 1], [3, -1], [37, 1]], 21, 9]], 'ALdims': [17, 19, 21, 15, 19, 17, 15, 21], 'Nk2': 28416, 'analytic_conductor': 56.72572559591759, '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': [7104, 1, [3775, 6661, 2369, 3073], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1193, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 19, 23], 'hecke_orbit_code': 33561536, '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, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7, 7], 'label': '7104.2.a', 'level': 7104, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 37], 'level_radical': 222, 'mf_dim': 1240, 'mf_new_dim': 144, 'num_forms': 64, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 2432, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [144, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 144, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1332433
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '7104.2.a.u', 'source_level': 7104, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '222.2.a.e', 'target_level': 222, 'twist_class_label': '222.2.a.e', 'twist_class_level': 222, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1332434
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '7104.2.a.u', 'source_level': 7104, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '666.2.a.a', 'target_level': 666, 'twist_class_label': '222.2.a.e', 'twist_class_level': 222, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1332435
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '7104.2.a.u', 'source_level': 7104, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1776.2.a.c', 'target_level': 1776, 'twist_class_label': '222.2.a.e', 'twist_class_level': 222, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1332436
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '7104.2.a.u', 'source_level': 7104, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '5328.2.a.l', 'target_level': 5328, 'twist_class_label': '222.2.a.e', 'twist_class_level': 222, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1332437
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '7104.2.a.u', 'source_level': 7104, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '5550.2.a.h', 'target_level': 5550, 'twist_class_label': '222.2.a.e', 'twist_class_level': 222, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1332438
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '7104.2.a.u', 'source_level': 7104, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '7104.2.a.g', 'target_level': 7104, 'twist_class_label': '222.2.a.e', 'twist_class_level': 222, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1332439
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '7104.2.a.u', 'source_level': 7104, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7104.2.a.u', 'target_level': 7104, 'twist_class_label': '222.2.a.e', 'twist_class_level': 222, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1332440
{'conductor': 296, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '7104.2.a.u', 'source_level': 7104, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '8214.2.a.d', 'target_level': 8214, 'twist_class_label': '222.2.a.e', 'twist_class_level': 222, 'twisting_char_label': '296.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4379625
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 2}
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id: 4379626
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 3}
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id: 4379627
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 5}
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id: 4379628
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 7}
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id: 4379629
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 11}
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id: 4379630
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 13}
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id: 4379631
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 17}
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id: 4379632
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 19}
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id: 4379633
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 23}
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id: 4379634
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 29}
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id: 4379635
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 31}
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id: 4379636
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 37}
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id: 4379637
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 41}
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id: 4379638
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 43}
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id: 4379639
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 47}
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id: 4379640
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 53}
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id: 4379641
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 59}
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id: 4379642
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 61}
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id: 4379643
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 67}
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id: 4379644
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 71}
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id: 4379645
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 73}
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id: 4379646
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 79}
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id: 4379647
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 83}
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id: 4379648
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 89}
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id: 4379649
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580971456, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '7104.2.a.u', 'level': 7104, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 249945000
{'hecke_orbit_code': 90071992580971456, 'n': 1, 'trace_an': 1}
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id: 249945001
{'hecke_orbit_code': 90071992580971456, 'n': 2, 'trace_an': 0}
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id: 249945002
{'hecke_orbit_code': 90071992580971456, 'n': 3, 'trace_an': 1}
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id: 249945003
{'hecke_orbit_code': 90071992580971456, 'n': 4, 'trace_an': 0}
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id: 249945004
{'hecke_orbit_code': 90071992580971456, 'n': 5, 'trace_an': 0}
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id: 249945005
{'hecke_orbit_code': 90071992580971456, 'n': 6, 'trace_an': 0}
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id: 249945006
{'hecke_orbit_code': 90071992580971456, 'n': 7, 'trace_an': 1}
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id: 249945007
{'hecke_orbit_code': 90071992580971456, 'n': 8, 'trace_an': 0}
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id: 249945008
{'hecke_orbit_code': 90071992580971456, 'n': 9, 'trace_an': 1}
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id: 249945009
{'hecke_orbit_code': 90071992580971456, 'n': 10, 'trace_an': 0}
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id: 249945010
{'hecke_orbit_code': 90071992580971456, 'n': 11, 'trace_an': 3}
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id: 249945011
{'hecke_orbit_code': 90071992580971456, 'n': 12, 'trace_an': 0}
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id: 249945012
{'hecke_orbit_code': 90071992580971456, 'n': 13, 'trace_an': 1}
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id: 249945013
{'hecke_orbit_code': 90071992580971456, 'n': 14, 'trace_an': 0}
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id: 249945014
{'hecke_orbit_code': 90071992580971456, 'n': 15, 'trace_an': 0}
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id: 249945015
{'hecke_orbit_code': 90071992580971456, 'n': 16, 'trace_an': 0}
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id: 249945016
{'hecke_orbit_code': 90071992580971456, 'n': 17, 'trace_an': -3}
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