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{'Nk2': 5400, 'analytic_conductor': 10.779804272872852, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 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': [1350, 1, [1001, 1027], [1, 1]], 'cm_discs': [], 'conrey_index': 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, [-1, 1]], [11, [-3, 1]], [13, [-4, 1]], [17, [0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425149254, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1350.2.a.h', 'level': 1350, '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': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '54.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}+4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1350/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1350.2.a', 'trace_display': [-1, 0, 0, 1], 'trace_hash': 89871814026296993, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.925', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 3, 0, 4, -1, 0, 1, 0, 0, 2, 0, 0, -3, -6, 0, 0, -4, 0, 1, -6, 0, 5, -1, 0, 0, 0, 0, -2, -2, 0, 0, 6, 0, 10, 3, 0, 6, 6, 0, -6, 0, 0, 4, 9, 0, 0, -1, 0, 6, -12, 0, 8, -5, 0, 1, 0, 0, -14, 0, 0, 0, 0, 0, 7, 2, 0, 2, 3, 0, 8, 0, 0, -6, -3, 0, 0, -10, 0, -3, 18, 0, 4, -6, 0, -6, 0, 0, 1, 6, 0, 0, 3, 0, 4, -4, 0, -9, 9, 0, 2, 0, 0, 1, -6, 0, 0, -6, 0, 12, 0, 0, -2, -8, 0, 5, 0, 0, 7, -1, 0, 0, 15, 0, 2, 14, 0, 0, 6, 0, -4, 0, 0, 0, 12, 0, 0, -7, 0, -2, -3, 0, 17, -2, 0, -3, 0, 0, 4, -8, 0, 0, -6, 0, -20, 6, 0, 3, -6, 0, 3, 0, 0, 10, 15, 0, 0, 3, 0, -18, 9, 0, -16, -4, 0, 6, 0, 0, 0, 6, 0, 0, 12, 0, -5, -1, 0, -6, 9, 0, -7, 0, 0, -3, -6, 0, 0, -4, 0, 4, 6, 0, -22, 9, 0, -9, 0, 0, 5, -2, 0, 0, 0, 0, -8, -1, 0, 6, -12, 0, 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'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [1], [0], [0], [1], [-1], [0], [0], [3], [0], [4], [-1], [0], [1], [0], [0], [2], [0], [0], [-3], [-6], [0], [0], [-4], [0], [1], [-6], [0], [5], [-1], [0], [0], [0], [0], [-2], [-2], [0], [0], [6], [0], [10], [3], [0], [6], [6], [0], [-6], [0], [0], [4], [9], [0], [0], [-1], [0], [6], [-12], [0], [8], [-5], [0], [1], [0], [0], [-14], [0], [0], [0], [0], [0], [7], [2], [0], [2], [3], [0], [8], [0], [0], [-6], [-3], [0], [0], [-10], [0], [-3], [18], [0], [4], [-6], [0], [-6], [0], [0], [1], [6], [0], [0]], 'ap': [[-1], [0], [0], [1], [3], [4], [0], [2], [-6], [-6], [5], [-2], [6], [10], [6], [9], [-12], [8], [-14], [0], [7], [8], [-3], [18], [1], [3], [4], [9], [2], [-6], [7], [15], [6], [-4], [-3], [17], [4], [-20], [-6], [15], [9], [-16], [12], [-5], [9], [-7], [-22], [-8], [-12], [14], [18], [-30], [-10], [0], [12], [-30], [18], [-25], [-8], [-24], [-14], [-6], [16], [6], [19], [-3], [-10], [22], [3], [-10], [6], [-18], [-17], [-32], [20], [-24], [21], [-20], [-12], [23], [-12], [8], [-18], [-29], [-19], [-12], [18], [1], [21], [13], [-27], [-6], [16], [-39], [14], [-18], [15], [-36], [16], [20], [-8], [27], [3], [12], [-4], [-38], [-3], [18], [42], [35], [-32], [34], [-42], [-28], [-25], [-42], [4], [0], [39], [21], [14], [19], [42], [-36], [44], [-9], [44], [-36], [1], [22], [-16], [12], [41], [-2], [-48], [-31], [-18], [-32], [39], [-18], [2], [-6], [31], [0], [2], [-24], [10], [-48], [-40], [-36], [22], [36], [-2], [12], [-26], [-6], [29], [12], [-11], [33], [51], [-36], [-23], [27], [-42], [6], [47], [28], [11], [-6], [-15], [-58], [-30], [-26], [-31], [6], [26], [9], [-47], [-64], [55], [-33], [-14], [36], [12], [-15], [-38], [-8], [59], [54], [-2], [-57], [2], [57], [-36], [12], [23], [-62], [-12], [36], [-39], [-55], [-32], [-19], [9], [-18], [20], [21], [30], [-40], [7], [42], [-35], [-21], [24], [-55], [-32], [-42], [18], [-6], [14], [-4], [24], [-20], [57], [8], [24], [54], [-8], [12], [-14], [56], [-40], [-12], [10], [60], [14], [18], [-39], [-36], [60], [-34], [49], [-16], [-24], [12], [43], [-57], [14], [36], [76], [-72], [30], [17], [-75], [63], [-52], [-8], [9], [-65], [1], [-21], [-58], [16], [12], [-28], [18], [-6], [4], [-6], [32], [16], [-53], [59], [31], [79], [-51], [8], [47], [12], [-60], [77], [-30], [26], [22], [-18], [61], [3], [-64], [0], [-42], [45], [-60], [69], [10], [-66], [17], [-39], [63], [-26], [22], [27], [-25], [-51], [-22], [-47], [60], [86], [24], [16], [-84], [-9], [30], [-68], [-72], [-70], [39], [-12], [46], [-30], [-28], [67], [27], [-11], [24], [47], [74], [64], [-48], [63], [-46], [-6], [17], [24], [-16], [9], [2], [-78], [41], [61], [46], [-48], [-93], [8], [33], [36], [74], [82], [-42], [54], [-40], [-11], [-66], [-89], [14], [18], [-30], [-63], [-78], [42], [64], [-24], [36], [-15], [-74], [-62], [78], [-29], [-7], [-69], [20], [30], [-33], [-31], [52], [96], [-54], [-11], [54], [82], [21], [30], [88], [-48], [-4], [54], [-28], [4], [-74], [12], [17], [-30], [36], [-26], [12], [-14], [-16], [30], [-22], [33], [-4], [-90], [40], [-24], [-45], [-43], [-26], [12], [4], [21], [1], [87], [81], [44], [-41], [63], [-18], [-8], [-54], [-6], [66], [-2], [60], [-57], [43], [57], [-39], [-54], [56], [12]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425149254, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1350.2.a.h', 'level': 1350, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 4, 3, 3, 4, 2, 2, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [22, 29, 30, 24, 26, 28, 28, 22], 'Nk2': 5400, 'analytic_conductor': 10.779804272872852, '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': [1350, 1, [1001, 1027], [1, 1]], 'conrey_index': 1, 'cusp_dim': 235, 'dim': 26, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33555782, '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, 2, 2], 'label': '1350.2.a', 'level': 1350, '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': [2, 3, 5], 'level_radical': 30, 'mf_dim': 306, 'mf_new_dim': 26, 'num_forms': 24, 'plus_dim': 10, 'prim_orbit_index': 1, 'relative_dim': 26, 'sturm_bound': 540, 'trace_bound': 17, 'trace_display': [0, 0, 0, -6], 'traces': [26, 0, 0, 26, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 2, 0, 0, 8, 0, 0, 12, 0, 0, 0, 0, 0, 36, 0, 0, -4, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 4, 0, 0, 26, 0, 0, -12, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, 0, 24, 0, 0, 28, 0, 0, -30, 0, 0, 0, 0, 0, -24, 0, 0, 42, 0, 0, -40, 0, 0, -6, 0, 0, 0, 0, 0, -24, 0, 0, 16, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 0, -12, 0, 0, 8, 0, 0, -4, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, -22, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -22, 0, 0, -98, 0, 0, 36, 0, 0, 0, 0, 0, -12, 0, 0, -152, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 60, 0, 0, -66, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 18, 0, 0, 18, 0, 0, 0, 0, 0, -24, 0, 0, -132, 0, 0, -176, 0, 0, 36, 0, 0, 0, 0, 0, 24, 0, 0, -244, 0, 0, 4, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 26, 0, 0, 8, 0, 0, -30, 0, 0, 0, 0, 0, -12, 0, 0, 182, 0, 0, -108, 0, 0, 48, 0, 0, 0, 0, 0, -60, 0, 0, 24, 0, 0, -50, 0, 0, 30, 0, 0, 0, 0, 0, -66, 0, 0, -64, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 30, 0, 0, 12, 0, 0, 108, 0, 0, 36, 0, 0, 0, 0, 0, 12, 0, 0, 128, 0, 0, -12, 0, 0, 12, 0, 0, 0, 0, 0, 54, 0, 0, -122, 0, 0, 56, 0, 0, -6, 0, 0, 0, 0, 0, -18, 0, 0, 46, 0, 0, 24, 0, 0, -66, 0, 0, 0, 0, 0, -120, 0, 0, 28, 0, 0, -152, 0, 0, -72, 0, 0, 0, 0, 0, -30, 0, 0, 80, 0, 0, -206, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 36, 0, 0, -86, 0, 0, -24, 0, 0, 0, 0, 0, 60, 0, 0, -244, 0, 0, 42, 0, 0, 48, 0, 0, 0, 0, 0, -90, 0, 0, -40, 0, 0, 90, 0, 0, 24, 0, 0, 0, 0, 0, -6, 0, 0, -4, 0, 0, -88, 0, 0, 114, 0, 0, 0, 0, 0, -6, 0, 0, 52, 0, 0, 220, 0, 0, -24, 0, 0, 0, 0, 0, 36, 0, 0, 96, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 2, 0, 0, 72, 0, 0, 48, 0, 0, 0, 0, 0, 6, 0, 0, 38, 0, 0, -120, 0, 0, -36, 0, 0, 0, 0, 0, 144, 0, 0, 20, 0, 0, 178, 0, 0, -12, 0, 0, 0, 0, 0, -60, 0, 0, 212, 0, 0, 8, 0, 0, 48, 0, 0, 0, 0, 0, 72, 0, 0, -4, 0, 0, 120, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 20, 0, 0, 124, 0, 0, -108, 0, 0, 0, 0, 0, 198, 0, 0, -204, 0, 0, 24, 0, 0, 12, 0, 0, 0, 0, 0, 144, 0, 0, 94, 0, 0, -22, 0, 0, 48, 0, 0, 0, 0, 0, 156, 0, 0, 70, 0, 0, 148, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 2, 0, 0, -24, 0, 0, 0, 0, 0, -120, 0, 0, 120, 0, 0, 88, 0, 0, -24, 0, 0, 0, 0, 0, -36, 0, 0, -8, 0, 0, -22, 0, 0, 72, 0, 0, 0, 0, 0, 30, 0, 0, -98, 0, 0, 58, 0, 0, -102, 0, 0, 0, 0, 0, 36, 0, 0, -280, 0, 0, 126, 0, 0, -72, 0, 0, 0, 0, 0, -120, 0, 0, -68, 0, 0, -300, 0, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, -68, 0, 0, -152, 0, 0, -174, 0, 0, 0, 0, 0, 60, 0, 0, -4, 0, 0, -40, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, -144, 0, 0, 36, 0, 0, 0, 0, 0, -60, 0, 0, 88, 0, 0, 54, 0, 0, -18, 0, 0, 0, 0, 0, -114, 0, 0, 192, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -66, 0, 0, 304, 0, 0, -24, 0, 0, 0, 0, 0, -30, 0, 0, 248, 0, 0, 268, 0, 0, 144, 0, 0, 0, 0, 0, -18, 0, 0, 32, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 110, 0, 0, 12, 0, 0, 12, 0, 0, 0, 0, 0, 60, 0, 0, 18, 0, 0, 100, 0, 0, 36, 0, 0, 0, 0, 0, 18, 0, 0, 168, 0, 0, -72, 0, 0, -60, 0, 0, 0, 0, 0, 60, 0, 0, 144, 0, 0, 218, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, -336, 0, 0, -132, 0, 0, -276, 0, 0, 0, 0, 0, 54, 0, 0, -176, 0, 0, 162, 0, 0, -138, 0, 0, 0, 0, 0, 36, 0, 0, 168, 0, 0, -54, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, -48, 0, 0, 24, 0, 0, 0, 0, 0, -60, 0, 0, 204, 0, 0, -244, 0, 0, 66, 0, 0, 0, 0, 0, -72, 0, 0, 4, 0, 0, -52, 0, 0, 174, 0, 0, 0, 0, 0, 72, 0, 0, 158, 0, 0, 0, 0, 0, 96, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 715234
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '54.2.a.a', 'target_level': 54, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715235
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '54.2.a.b', 'target_level': 54, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 715236
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.2.c.b', 'target_level': 162, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 715237
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '162.2.c.c', 'target_level': 162, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 715238
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.2.a.b', 'target_level': 432, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715239
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '432.2.a.g', 'target_level': 432, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 715240
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1296.2.i.c', 'target_level': 1296, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 715241
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1296.2.i.o', 'target_level': 1296, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 715242
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1350.2.a.h', 'target_level': 1350, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 715243
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1350.2.a.r', 'target_level': 1350, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 715244
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1350.2.c.b', 'target_level': 1350, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 715245
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1350.2.c.k', 'target_level': 1350, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 715246
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1728.2.a.c', 'target_level': 1728, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 715247
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1728.2.a.d', 'target_level': 1728, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 715248
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1728.2.a.y', 'target_level': 1728, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 715249
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '1728.2.a.z', 'target_level': 1728, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 715250
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2646.2.a.a', 'target_level': 2646, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 715251
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2646.2.a.bd', 'target_level': 2646, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 715252
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '6534.2.a.b', 'target_level': 6534, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715253
{'conductor': 165, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '6534.2.a.bc', 'target_level': 6534, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '165.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715254
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '9126.2.a.r', 'target_level': 9126, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715255
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1350.2.a.h', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '9126.2.a.u', 'target_level': 9126, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1885025
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 2}
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id: 1885026
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 3}
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id: 1885027
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 5}
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id: 1885028
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 7}
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id: 1885029
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 11}
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id: 1885030
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 13}
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id: 1885031
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 17}
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id: 1885032
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 19}
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id: 1885033
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 23}
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id: 1885034
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 29}
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id: 1885035
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 31}
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id: 1885036
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 37}
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id: 1885037
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 41}
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id: 1885038
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 43}
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id: 1885039
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 47}
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id: 1885040
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 53}
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id: 1885041
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 59}
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id: 1885042
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 61}
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id: 1885043
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 67}
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id: 1885044
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 71}
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id: 1885045
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 73}
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id: 1885046
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 79}
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id: 1885047
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 83}
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id: 1885048
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 89}
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id: 1885049
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149254, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '1350.2.a.h', 'level': 1350, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47902321
{'hecke_orbit_code': 31525197425149254, 'n': 1, 'trace_an': 1}
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id: 47902322
{'hecke_orbit_code': 31525197425149254, 'n': 2, 'trace_an': -1}
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id: 47902525
{'hecke_orbit_code': 31525197425149254, 'n': 647, 'trace_an': 0}
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id: 47902526
{'hecke_orbit_code': 31525197425149254, 'n': 653, 'trace_an': 39}
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id: 47902527
{'hecke_orbit_code': 31525197425149254, 'n': 659, 'trace_an': 21}
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id: 47902528
{'hecke_orbit_code': 31525197425149254, 'n': 661, 'trace_an': 14}
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id: 47902529
{'hecke_orbit_code': 31525197425149254, 'n': 673, 'trace_an': 19}
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id: 47902530
{'hecke_orbit_code': 31525197425149254, 'n': 677, 'trace_an': 42}
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id: 47902531
{'hecke_orbit_code': 31525197425149254, 'n': 683, 'trace_an': -36}
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id: 47902532
{'hecke_orbit_code': 31525197425149254, 'n': 691, 'trace_an': 44}
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id: 47902533
{'hecke_orbit_code': 31525197425149254, 'n': 701, 'trace_an': -9}
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id: 47902534
{'hecke_orbit_code': 31525197425149254, 'n': 709, 'trace_an': 44}
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id: 47902535
{'hecke_orbit_code': 31525197425149254, 'n': 719, 'trace_an': -36}
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id: 47902536
{'hecke_orbit_code': 31525197425149254, 'n': 727, 'trace_an': 1}
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id: 47902537
{'hecke_orbit_code': 31525197425149254, 'n': 729, 'trace_an': 0}
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id: 47902538
{'hecke_orbit_code': 31525197425149254, 'n': 733, 'trace_an': 22}
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id: 47902539
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id: 47902540
{'hecke_orbit_code': 31525197425149254, 'n': 743, 'trace_an': 12}
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id: 47902541
{'hecke_orbit_code': 31525197425149254, 'n': 751, 'trace_an': 41}
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id: 47902542
{'hecke_orbit_code': 31525197425149254, 'n': 757, 'trace_an': -2}
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id: 47902543
{'hecke_orbit_code': 31525197425149254, 'n': 761, 'trace_an': -48}
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id: 47902544
{'hecke_orbit_code': 31525197425149254, 'n': 769, 'trace_an': -31}
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id: 47902545
{'hecke_orbit_code': 31525197425149254, 'n': 773, 'trace_an': -18}
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id: 47902546
{'hecke_orbit_code': 31525197425149254, 'n': 787, 'trace_an': -32}
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id: 47902547
{'hecke_orbit_code': 31525197425149254, 'n': 797, 'trace_an': 39}
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id: 47902548
{'hecke_orbit_code': 31525197425149254, 'n': 809, 'trace_an': -18}
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id: 47902549
{'hecke_orbit_code': 31525197425149254, 'n': 811, 'trace_an': 2}
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id: 47902550
{'hecke_orbit_code': 31525197425149254, 'n': 821, 'trace_an': -6}
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id: 47902551
{'hecke_orbit_code': 31525197425149254, 'n': 823, 'trace_an': 31}
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id: 47902552
{'hecke_orbit_code': 31525197425149254, 'n': 827, 'trace_an': 0}
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id: 47902553
{'hecke_orbit_code': 31525197425149254, 'n': 829, 'trace_an': 2}
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id: 47902554
{'hecke_orbit_code': 31525197425149254, 'n': 839, 'trace_an': -24}
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id: 47902555
{'hecke_orbit_code': 31525197425149254, 'n': 841, 'trace_an': 7}
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id: 47902556
{'hecke_orbit_code': 31525197425149254, 'n': 853, 'trace_an': 10}
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id: 47902557
{'hecke_orbit_code': 31525197425149254, 'n': 857, 'trace_an': -48}
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id: 47902558
{'hecke_orbit_code': 31525197425149254, 'n': 859, 'trace_an': -40}
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id: 47902559
{'hecke_orbit_code': 31525197425149254, 'n': 863, 'trace_an': -36}
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id: 47902560
{'hecke_orbit_code': 31525197425149254, 'n': 877, 'trace_an': 22}
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id: 47902561
{'hecke_orbit_code': 31525197425149254, 'n': 881, 'trace_an': 36}
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id: 47902562
{'hecke_orbit_code': 31525197425149254, 'n': 883, 'trace_an': -2}
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id: 47902563
{'hecke_orbit_code': 31525197425149254, 'n': 887, 'trace_an': 12}
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id: 47902564
{'hecke_orbit_code': 31525197425149254, 'n': 907, 'trace_an': -26}
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id: 47902565
{'hecke_orbit_code': 31525197425149254, 'n': 911, 'trace_an': -6}
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id: 47902566
{'hecke_orbit_code': 31525197425149254, 'n': 919, 'trace_an': 29}
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id: 47902567
{'hecke_orbit_code': 31525197425149254, 'n': 929, 'trace_an': 12}
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id: 47902568
{'hecke_orbit_code': 31525197425149254, 'n': 937, 'trace_an': -11}
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id: 47902569
{'hecke_orbit_code': 31525197425149254, 'n': 941, 'trace_an': 33}
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id: 47902570
{'hecke_orbit_code': 31525197425149254, 'n': 947, 'trace_an': 51}
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id: 47902571
{'hecke_orbit_code': 31525197425149254, 'n': 953, 'trace_an': -36}
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id: 47902572
{'hecke_orbit_code': 31525197425149254, 'n': 961, 'trace_an': -6}
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id: 47902573
{'hecke_orbit_code': 31525197425149254, 'n': 967, 'trace_an': -23}
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id: 47902574
{'hecke_orbit_code': 31525197425149254, 'n': 971, 'trace_an': 27}
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id: 47902575
{'hecke_orbit_code': 31525197425149254, 'n': 977, 'trace_an': -42}
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id: 47902576
{'hecke_orbit_code': 31525197425149254, 'n': 983, 'trace_an': 6}
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id: 47902577
{'hecke_orbit_code': 31525197425149254, 'n': 991, 'trace_an': 47}
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id: 47902578
{'hecke_orbit_code': 31525197425149254, 'n': 997, 'trace_an': 28}