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{'Nk2': 11200, 'analytic_conductor': 22.358112565958507, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2800, 1, [351, 2101, 2577, 801], [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, [-2, 1]], [11, [1, 1]], [13, [4, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972560624, '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': '2800.2.a.bb', 'level': 2800, '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': '1400.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}-q^{7}+q^{9}-q^{11}-4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/2800/bb'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2800.2.a', 'trace_display': [0, 2, 0, -1], 'trace_hash': 1299895716657266795, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.023', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [2], [0], [0], [0], [-1], [0], [1], [0], [-1], [0], [-4], [0], [0], [0], [0], [0], [-6], [0], [-2], [0], [3], [0], [0], [0], [-4], [0], [-3], [0], [0], [0], [-2], [0], [0], [0], [-9], [0], [-8], [0], [2], [0], [9], [0], [0], [0], [-6], [0], [1], [0], [0], [0], [-6], [0], [0], [0], [-12], [0], [-8], [0], [-10], [0], [-1], [0], [0], [0], [-1], [0], [6], [0], [7], [0], [2], [0], [0], [0], [1], [0], [9], [0], [-11], [0], [12], [0], [0], [0], [-6], [0], [-4], [0], [4], [0], [0], [0], [0], [0], [-16], [0], [-1], [0]], 'ap': [[0], [2], [0], [-1], [-1], [-4], [0], [-6], [3], [-3], [0], [-9], [2], [9], [-6], [-6], [-8], [-10], [-1], [7], [2], [9], [12], [-4], [-16], [-14], [-6], [20], [-11], [9], [-1], [12], [22], [6], [-17], [-17], [14], [12], [-12], [2], [-16], [22], [-20], [1], [-3], [18], [-4], [26], [-22], [-26], [19], [16], [18], [-20], [0], [-15], [4], [-4], [22], [-7], [14], [-8], [-12], [-4], [22], [33], [17], [-34], [17], [2], [0], [3], [10], [-15], [5], [-24], [-35], [-34], [-39], [14], [-12], [23], [4], [0], [4], [-36], [-9], [-11], [12], [-16], [-18], [-12], [17], [39], [4], [26], [-36], [30], [-20], [3], [11], [33], [-2], [37], [-15], [-2], [-22], [-44], [-15], [8], [20], [-5], [23], [16], [45], [49], [8], [42], [-6], [-44], [14], [-14], [-18], [-23], [-26], [-18], [22], [-26], [8], [4], [43], [0], [-4], [-17], [32], [38], [-40], [38], [28], [43], [-14], [2], [23], [-7], [-20], [-34], [-28], [38], [-26], [-7], [46], [-40], [-25], [-2], [12], [-23], [29], [-42], [-10], [-56], [20], [-11], [40], [26], [3], [-24], [-23], [-38], [19], [36], [45], [10], [9], [30], [26], [-36], [33], [-18], [24], [44], [-23], [-48], [3], [6], [11], [-10], [-11], [-34], [-47], [-30], [18], [-9], [-29], [-26], [-43], [-18], [5], [-1], [-26], [-40], [18], [-26], [-52], [-2], [-54], [-6], [-38], [40], [-65], [42], [-13], [-28], [-39], [-48], [-30], [48], [-47], [10], [-1], [-45], [61], [20], [-45], [-21], [-32], [30], [-34], [9], [-56], [-65], [51], [-60], [-60], [27], [-64], [-28], [50], [-35], [-25], [48], [-33], [-4], [-4], [-21], [-72], [56], [62], [-18], [40], [24], [38], [-50], [40], [-52], [18], [-60], [-35], [-20], [-54], [6], [36], [57], [12], [8], [42], [-32], [-5], [-50], [9], [31], [36], [-52], [-52], [41], [-52], [-44], [33], [-30], [-49], [8], [-70], [80], [68], [-76], [30], [-57], [-47], [9], [-60], [-30], [-21], [28], [-81], [46], [-23], [72], [-22], [68], [6], [-42], [14], [-14], [61], [25], [57], [2], [23], [36], [69], [-58], [54], [6], [29], [-28], [51], [-56], [26], [-32], [70], [21], [16], [22], [26], [23], [13], [-52], [45], [-50], [-85], [-49], [34], [-77], [-74], [-4], [36], [54], [85], [-16], [-60], [10], [-58], [75], [-2], [-75], [15], [3], [38], [-19], [62], [42], [14], [17], [10], [38], [19], [-62], [36], [-6], [34], [-76], [29], [72], [24], [-73], [-66], [46], [-14], [-79], [75], [-13], [-80], [-9], [54], [92], [49], [24], [71], [72], [42], [-18], [30], [45], [7], [13], [62], [28], [7], [-20], [61], [-34], [-55], [16], [-9], [94], [-5], [-17], [52], [-32], [76], [5], [36], [-55], [-13], [-76], [6], [-52], [17], [54], [-46], [104], [20], [-73], [84], [45], [59], [-30], [-24], [30], [4], [48], [-106], [18], [-32], [12], [36], [-46], [-91], [-42], [-28], [42]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 121597189972560624, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2800.2.a.bb', 'level': 2800, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [7, -1]], 7, 5], [[[2, -1], [5, -1], [7, -1]], 9, 7], [[[2, 1], [5, -1], [7, -1]], 7, 5], [[[2, 1], [5, 1], [7, 1]], 7, 6], [[[2, 1], [5, -1], [7, 1]], 7, 4], [[[2, -1], [5, -1], [7, 1]], 7, 6], [[[2, -1], [5, 1], [7, -1]], 5, 5], [[[2, -1], [5, 1], [7, 1]], 8, 6]], 'ALdims': [7, 7, 7, 7, 8, 5, 7, 9], 'Nk2': 11200, 'analytic_conductor': 22.358112565958507, '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': [2800, 1, [351, 2101, 2577, 801], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 445, 'dim': 57, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13], 'hecke_orbit_code': 33557232, '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, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '2800.2.a', 'level': 2800, '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': 516, 'mf_new_dim': 57, 'num_forms': 44, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 960, 'trace_bound': 13, 'trace_display': [0, 0, 0, -1], 'traces': [57, 0, 0, 0, 0, 0, -1, 0, 53, 0, -8, 0, 2, 0, 0, 0, -6, 0, 8, 0, 0, 0, -8, 0, 0, 0, -24, 0, 6, 0, 8, 0, 0, 0, 0, 0, 14, 0, -16, 0, 2, 0, 20, 0, 0, 0, 0, 0, 57, 0, -16, 0, 6, 0, 0, 0, 8, 0, 0, 0, -6, 0, -5, 0, 0, 0, -28, 0, -16, 0, 12, 0, -22, 0, 0, 0, 4, 0, 20, 0, 57, 0, 32, 0, 0, 0, -8, 0, -22, 0, -6, 0, 32, 0, 0, 0, -22, 0, -8, 0, -6, 0, -8, 0, 0, 0, 44, 0, -34, 0, 56, 0, -6, 0, 0, 0, 58, 0, 10, 0, 69, 0, 56, 0, 0, 0, -8, 0, 32, 0, 24, 0, 8, 0, 0, 0, 26, 0, 72, 0, 32, 0, 48, 0, 0, 0, 0, 0, -34, 0, 20, 0, 2, 0, 0, 0, -30, 0, 16, 0, 8, 0, -60, 0, 0, 0, 40, 0, 47, 0, 48, 0, 18, 0, 0, 0, -8, 0, -36, 0, -78, 0, -40, 0, 0, 0, 32, 0, 0, 0, -80, 0, -6, 0, 0, 0, 22, 0, -24, 0, -56, 0, 10, 0, 0, 0, 72, 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mf_twists_nf • Show schema
Hide schema
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id: 1001206
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2800.2.a.bb', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1400.2.a.c', 'target_level': 1400, 'twist_class_label': '1400.2.a.c', 'twist_class_level': 1400, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1001207
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2800.2.a.bb', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1400.2.a.l', 'target_level': 1400, 'twist_class_label': '1400.2.a.c', 'twist_class_level': 1400, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1001208
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2800.2.a.bb', 'source_level': 2800, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1400.2.g.c', 'target_level': 1400, 'twist_class_label': '1400.2.a.c', 'twist_class_level': 1400, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1001209
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2800.2.a.bb', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2800.2.a.f', 'target_level': 2800, 'twist_class_label': '1400.2.a.c', 'twist_class_level': 1400, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1001210
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2800.2.a.bb', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2800.2.a.bb', 'target_level': 2800, 'twist_class_label': '1400.2.a.c', 'twist_class_level': 1400, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1001211
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2800.2.a.bb', 'source_level': 2800, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2800.2.g.f', 'target_level': 2800, 'twist_class_label': '1400.2.a.c', 'twist_class_level': 1400, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1001212
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2800.2.a.bb', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '9800.2.a.h', 'target_level': 9800, 'twist_class_label': '1400.2.a.c', 'twist_class_level': 1400, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1001213
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '2800.2.a.bb', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '9800.2.a.bk', 'target_level': 9800, 'twist_class_label': '1400.2.a.c', 'twist_class_level': 1400, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2856975
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 2}
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id: 2856976
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 3}
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id: 2856977
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 5}
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id: 2856978
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 7}
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id: 2856979
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 11}
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id: 2856980
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 13}
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id: 2856981
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 17}
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id: 2856982
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 19}
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id: 2856983
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 23}
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id: 2856984
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 29}
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id: 2856985
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 31}
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id: 2856986
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 37}
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id: 2856987
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 41}
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id: 2856988
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 43}
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id: 2856989
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 47}
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id: 2856990
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 53}
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id: 2856991
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 59}
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id: 2856992
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 61}
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id: 2856993
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 67}
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id: 2856994
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 71}
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id: 2856995
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 73}
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id: 2856996
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 79}
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id: 2856997
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 83}
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id: 2856998
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 89}
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id: 2856999
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 121597189972560624, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '2800.2.a.bb', 'level': 2800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 261686000
{'hecke_orbit_code': 121597189972560624, 'n': 1, 'trace_an': 1}
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id: 261686001
{'hecke_orbit_code': 121597189972560624, 'n': 2, 'trace_an': 0}
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id: 261686002
{'hecke_orbit_code': 121597189972560624, 'n': 3, 'trace_an': 2}
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id: 261686003
{'hecke_orbit_code': 121597189972560624, 'n': 4, 'trace_an': 0}
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id: 261686004
{'hecke_orbit_code': 121597189972560624, 'n': 5, 'trace_an': 0}
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id: 261686005
{'hecke_orbit_code': 121597189972560624, 'n': 6, 'trace_an': 0}
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id: 261686006
{'hecke_orbit_code': 121597189972560624, 'n': 7, 'trace_an': -1}
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id: 261686007
{'hecke_orbit_code': 121597189972560624, 'n': 8, 'trace_an': 0}
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id: 261686008
{'hecke_orbit_code': 121597189972560624, 'n': 9, 'trace_an': 1}
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id: 261686009
{'hecke_orbit_code': 121597189972560624, 'n': 10, 'trace_an': 0}
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id: 261686010
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