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mf_newforms • Show schema
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{'Nk2': 7840, 'analytic_conductor': 15.650678796170956, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [7, -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': [1960, 1, [1471, 981, 1177, 1081], [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': [[3, [1, 1]], [11, [-3, 1]], [13, [-1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170408872, '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': True, 'label': '1960.2.a.f', 'level': 1960, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '1960.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}-2q^{9}+3q^{11}+q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1960/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1960.2.a', 'trace_display': [0, -1, 1, 0], 'trace_hash': 1854415309587104066, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.991', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.952', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [1], [0], [0], [0], [-2], [0], [3], [0], [1], [0], [-1], [0], [-5], [0], [-6], [0], [0], [0], [0], [0], [1], [0], [5], [0], [-5], [0], [2], [0], [-3], [0], [0], [0], [-4], [0], [-1], [0], [-2], [0], [10], [0], [-2], [0], [-9], [0], [0], [0], [5], [0], [6], [0], [3], [0], [6], [0], [-6], [0], [-12], [0], [0], [0], [1], [0], [-2], [0], [0], [0], [0], [0], [-14], [0], [-1], [0], [0], [0], [1], [0], [1], [0], [12], [0], [-5], [0], [5], [0], [0], [0], [0], [0], [-2], [0], [-6], [0], [-9], [0], [-6], [0]], 'ap': [[0], [-1], [1], [0], [3], [1], [-5], [-6], [0], [-5], [2], [-4], [-2], [10], [-9], [6], [-6], [-12], [-2], [0], [-14], [1], [12], [0], [-9], [-18], [-1], [2], [-19], [-4], [-6], [-16], [4], [16], [18], [9], [-2], [-8], [-5], [15], [-20], [-10], [-25], [24], [-6], [22], [-11], [11], [-17], [2], [-24], [-15], [4], [-12], [14], [26], [-16], [28], [4], [27], [1], [-29], [25], [22], [13], [10], [-20], [32], [36], [2], [3], [0], [23], [-24], [-32], [32], [-15], [11], [13], [34], [-22], [13], [3], [-2], [28], [18], [-33], [18], [12], [40], [-3], [-4], [-28], [-3], [7], [-39], [40], [-26], [0], [15], [20], [-12], [-20], [2], [36], [9], [-20], [-3], [-17], [22], [13], [22], [-12], [-44], [-37], [-10], [-9], [-20], [-14], [-33], [44], [-40], [-3], [-36], [12], [27], [27], [24], [32], [-51], [-33], [54], [-31], [24], [24], [-34], [-23], [-45], [39], [-3], [40], [5], [26], [-8], [-10], [-52], [-22], [-38], [-20], [-18], [30], [0], [36], [32], [20], [16], [17], [-42], [43], [-12], [-26], [-34], [-50], [-14], [-18], [-35], [36], [15], [9], [-30], [-4], [14], [-5], [-24], [14], [36], [-37], [1], [44], [8], [16], [16], [2], [-6], [-44], [-16], [10], [-13], [21], [-24], [6], [-6], [-39], [42], [32], [-39], [-37], [-22], [-41], [-5], [30], [10], [-58], [10], [-6], [-17], [60], [24], [26], [-32], [10], [-68], [26], [-49], [-30], [-4], [-68], [46], [46], [-44], [42], [-2], [9], [42], [7], [38], [51], [23], [19], [32], [-48], [-30], [-40], [9], [35], [43], [-34], [4], [9], [-8], [-4], [20], [39], [-26], [45], [-2], [56], [66], [-7], [-18], [54], [26], [-22], [-28], [-26], [-5], [38], [36], [-11], [45], [-46], [-4], [70], [-15], [-50], [8], [45], [6], [-66], [-54], [14], [2], [-45], [-16], [-46], [39], [-48], [62], [-43], [-30], [59], [5], [-24], [-76], [71], [67], [38], [-18], [62], [-66], [-31], [49], [-66], [-30], [-38], [-34], [0], [-39], [24], [-41], [7], [-72], [79], [-36], [-43], [16], [82], [36], [-44], [-22], [-12], [51], [2], [-58], [-34], [-56], [34], [-17], [-89], [17], [38], [10], [24], [-10], [-42], [38], [49], [20], [78], [-2], [-82], [-82], [4], [41], [20], [87], [25], [-6], [-86], [-81], [-84], [-22], [-16], [-57], [68], [-36], [-64], [8], [64], [-57], [14], [-32], [53], [-77], [5], [78], [-70], [40], [-22], [-24], [-28], [50], [-62], [-61], [-92], [78], [7], [2], [-31], [-1], [72], [-14], [-69], [50], [54], [20], [35], [-47], [-96], [73], [-2], [36], [-22], [12], [14], [79], [11], [-47], [-64], [73], [73], [-49], [-19], [-8], [71], [-48], [-16], [90], [-41], [-42], [-48], [66], [68], [-9], [-36], [-6], [-36], [-41], [-20], [8], [-73], [-78], [-48], [68], [4], [-64], [-85], [-24], [18], [-57], [5], [58], [-78], [-40], [65], [7], [-70], [-70], [-46], [-88]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998170408872, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1960.2.a.f', 'level': 1960, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [7, -1]], 6, 4], [[[2, -1], [5, -1], [7, -1]], 6, 5], [[[2, 1], [5, -1], [7, -1]], 3, 3], [[[2, 1], [5, 1], [7, 1]], 5, 2], [[[2, 1], [5, -1], [7, 1]], 7, 2], [[[2, -1], [5, -1], [7, 1]], 4, 2], [[[2, -1], [5, 1], [7, -1]], 6, 4], [[[2, -1], [5, 1], [7, 1]], 4, 3]], 'ALdims': [5, 6, 7, 3, 4, 6, 4, 6], 'Nk2': 7840, 'analytic_conductor': 15.650678796170956, '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': [1960, 1, [1471, 981, 1177, 1081], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 305, 'dim': 41, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13], 'hecke_orbit_code': 33556392, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4], 'label': '1960.2.a', 'level': 1960, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 368, 'mf_new_dim': 41, 'num_forms': 25, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 41, 'sturm_bound': 672, 'trace_bound': 11, 'trace_display': [0, 4, -1, 0], 'traces': [41, 0, 4, 0, -1, 0, 0, 0, 33, 0, 0, 0, 2, 0, 0, 0, -14, 0, 8, 0, 0, 0, 4, 0, 41, 0, 16, 0, 2, 0, 24, 0, -24, 0, 0, 0, -2, 0, 8, 0, 2, 0, 8, 0, 3, 0, -20, 0, 0, 0, 8, 0, 14, 0, 4, 0, 8, 0, -8, 0, 18, 0, 0, 0, 10, 0, 0, 0, 40, 0, -16, 0, -6, 0, 4, 0, 0, 0, 0, 0, 1, 0, 4, 0, 2, 0, 16, 0, 2, 0, 0, 0, 24, 0, -4, 0, -30, 0, 112, 0, 26, 0, 12, 0, 0, 0, 32, 0, 2, 0, -48, 0, -38, 0, -4, 0, 50, 0, 0, 0, 1, 0, -8, 0, -1, 0, -4, 0, 16, 0, -24, 0, 0, 0, 0, 0, -22, 0, -32, 0, 32, 0, -64, 0, -22, 0, 0, 0, 26, 0, -112, 0, 2, 0, -8, 0, 10, 0, -48, 0, 0, 0, -160, 0, 24, 0, -12, 0, 19, 0, -40, 0, -30, 0, 0, 0, 16, 0, 80, 0, 26, 0, -120, 0, 2, 0, -32, 0, 0, 0, -24, 0, 18, 0, 24, 0, -10, 0, 40, 0, 56, 0, 0, 0, 14, 0, 12, 0, -16, 0, -144, 0, 16, 0, 16, 0, 0, 0, 104, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 850368
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1960.2.a.f', 'source_level': 1960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1960.2.a.f', 'target_level': 1960, 'twist_class_label': '1960.2.a.f', 'twist_class_level': 1960, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 850369
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1960.2.a.f', 'source_level': 1960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1960.2.a.j', 'target_level': 1960, 'twist_class_label': '1960.2.a.f', 'twist_class_level': 1960, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 850370
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1960.2.a.f', 'source_level': 1960, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1960.2.q.f', 'target_level': 1960, 'twist_class_label': '1960.2.a.f', 'twist_class_level': 1960, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 850371
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1960.2.a.f', 'source_level': 1960, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1960.2.q.j', 'target_level': 1960, 'twist_class_label': '1960.2.a.f', 'twist_class_level': 1960, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 850372
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1960.2.a.f', 'source_level': 1960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3920.2.a.l', 'target_level': 3920, 'twist_class_label': '1960.2.a.f', 'twist_class_level': 1960, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 850373
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1960.2.a.f', 'source_level': 1960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '3920.2.a.x', 'target_level': 3920, 'twist_class_label': '1960.2.a.f', 'twist_class_level': 1960, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 850374
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1960.2.a.f', 'source_level': 1960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '9800.2.a.t', 'target_level': 9800, 'twist_class_label': '1960.2.a.f', 'twist_class_level': 1960, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 850375
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1960.2.a.f', 'source_level': 1960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '9800.2.a.bd', 'target_level': 9800, 'twist_class_label': '1960.2.a.f', 'twist_class_level': 1960, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2332400
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 2}
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id: 2332401
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 3}
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id: 2332402
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 5}
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id: 2332403
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 7}
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id: 2332404
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 11}
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id: 2332405
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 13}
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id: 2332406
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 17}
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id: 2332407
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 19}
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id: 2332408
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 23}
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id: 2332409
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 29}
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id: 2332410
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 31}
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id: 2332411
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 37}
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id: 2332412
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 41}
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id: 2332413
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 43}
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id: 2332414
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 47}
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id: 2332415
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 53}
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id: 2332416
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 59}
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id: 2332417
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 61}
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id: 2332418
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 67}
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id: 2332419
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 71}
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id: 2332420
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 73}
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id: 2332421
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 79}
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id: 2332422
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 83}
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id: 2332423
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 89}
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id: 2332424
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 22517998170408872, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '1960.2.a.f', 'level': 1960, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 162994000
{'hecke_orbit_code': 22517998170408872, 'n': 1, 'trace_an': 1}
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id: 162994001
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{'hecke_orbit_code': 22517998170408872, 'n': 993, 'trace_an': 20}
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id: 162994993
{'hecke_orbit_code': 22517998170408872, 'n': 994, 'trace_an': 0}
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id: 162994994
{'hecke_orbit_code': 22517998170408872, 'n': 995, 'trace_an': 22}
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id: 162994995
{'hecke_orbit_code': 22517998170408872, 'n': 996, 'trace_an': 0}
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id: 162994996
{'hecke_orbit_code': 22517998170408872, 'n': 997, 'trace_an': 15}
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id: 162994997
{'hecke_orbit_code': 22517998170408872, 'n': 998, 'trace_an': 0}
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id: 162994998
{'hecke_orbit_code': 22517998170408872, 'n': 999, 'trace_an': -20}
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id: 162994999
{'hecke_orbit_code': 22517998170408872, 'n': 1000, 'trace_an': 0}