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{'Nk2': 7200, 'analytic_conductor': 14.373072363830468, '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': [1800, 1, [1351, 901, 1001, 577], [1, 1, 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, [2, 1]], [11, [1, 1]], [13, [4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425149704, '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': '1800.2.a.h', 'level': 1800, 'level_is_powerful': True, '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': '200.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{7}-q^{11}-4q^{13}+5q^{17}+q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/1800/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1800.2.a', 'trace_display': [0, 0, 0, -2], 'trace_hash': 859050136053731929, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.990', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.945', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.758', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, -4, 0, 0, 0, 5, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 8, 0, 10, 0, 0, 0, 0, 0, 6, 0, 0, 0, 3, 0, -4, 0, 0, 0, 4, 0, -3, 0, 0, 0, 6, 0, 0, 0, 0, 0, -8, 0, 10, 0, 0, 0, 0, 0, 1, 0, 0, 0, 12, 0, -3, 0, 0, 0, 2, 0, 6, 0, 0, 0, -13, 0, 0, 0, 0, 0, 9, 0, 8, 0, 0, 0, 0, 0, 14, 0, 0, 0, -6, 0, -4, 0, 0, 0, -15, 0, 14, 0, 0, 0, -9, 0, 0, 0, 0, 0, -10, 0, -10, 0, 0, 0, 0, 0, 6, 0, 0, 0, 12, 0, -2, 0, 0, 0, 13, 0, 9, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, 2, 0, 0, 0, 0, 0, 14, 0, 0, 0, 4, 0, -7, 0, 0, 0, -12, 0, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 19, 0, 2, 0, 0, 0, 0, 0, -5, 0, 0, 0, 10, 0, 11, 0, 0, 0, -2, 0, -28, 0, 0, 0, -16, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -20, 0, 0, 0, -20, 0, 4, 0, 0, 0, -12, 0, 4, 0, 0, 0, 6, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [-1], [0], [-4], [0], [0], [0], [5], [0], [1], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [8], [0], [10], [0], [0], [0], [0], [0], [6], [0], [0], [0], [3], [0], [-4], [0], [0], [0], [4], [0], [-3], [0], [0], [0], [6], [0], [0], [0], [0], [0], [-8], [0], [10], [0], [0], [0], [0], [0], [1], [0], [0], [0], [12], [0], [-3], [0], [0], [0], [2], [0], [6], [0], [0], [0], [-13], [0], [0], [0], [0], [0], [9], [0], [8], [0], [0], [0], [0], [0], [14], [0], [0], [0]], 'ap': [[0], [0], [0], [-2], [-1], [-4], [5], [1], [-2], [8], [10], [6], [3], [-4], [4], [6], [-8], [10], [1], [12], [-3], [6], [-13], [9], [14], [-6], [-4], [-15], [14], [-9], [6], [12], [13], [9], [-8], [2], [14], [-7], [-12], [8], [19], [2], [10], [11], [-2], [-28], [-1], [4], [-12], [4], [6], [-24], [-7], [-15], [30], [30], [16], [-6], [-8], [2], [1], [-2], [-13], [-14], [22], [12], [-27], [-19], [17], [-18], [-10], [18], [-20], [-10], [-5], [6], [-30], [-4], [-21], [-11], [3], [-12], [34], [-5], [16], [-21], [39], [-1], [-12], [36], [-28], [-22], [38], [-36], [-4], [36], [-34], [35], [35], [-32], [19], [-28], [-32], [-17], [-20], [13], [3], [39], [-30], [43], [0], [-30], [-18], [44], [10], [6], [12], [12], [-34], [21], [24], [6], [-32], [-3], [-19], [28], [-28], [14], [-8], [-36], [12], [30], [24], [-32], [3], [13], [0], [52], [42], [-18], [44], [38], [-28], [3], [-20], [16], [22], [-3], [41], [48], [-4], [-30], [-5], [28], [-12], [-28], [-34], [2], [5], [-4], [40], [-39], [0], [31], [17], [6], [38], [12], [29], [-16], [-35], [10], [34], [-35], [-16], [-39], [7], [58], [56], [34], [28], [27], [58], [-41], [-4], [-20], [-26], [-41], [-7], [-40], [-47], [-9], [-1], [-14], [-23], [-22], [-45], [54], [11], [-10], [-18], [-44], [-32], [3], [36], [26], [58], [-20], [-30], [8], [62], [-2], [-56], [-3], [-10], [33], [-58], [-5], [-66], [10], [-34], [-20], [-25], [66], [-27], [-50], [-1], [-56], [-44], [-35], [-34], [-45], [50], [-7], [24], [-18], [45], [0], [-55], [-12], [37], [19], [14], [4], [-13], [16], [-22], [-68], [-5], [-16], [48], [5], [30], [-37], [32], [-75], [-40], [-75], [-6], [-69], [-46], [-73], [-48], [28], [53], [37], [50], [-30], [51], [34], [-4], [-43], [33], [-16], [-2], [4], [13], [-40], [-34], [3], [-60], [30], [8], [4], [-55], [8], [-62], [-24], [0], [30], [-34], [-12], [51], [81], [-28], [18], [2], [-48], [-4], [-3], [39], [54], [-16], [65], [-57], [-73], [-12], [46], [54], [-38], [-26], [-66], [-9], [8], [-4], [-26], [-49], [-72], [65], [29], [44], [67], [-36], [62], [-38], [18], [-65], [-20], [-70], [-36], [44], [82], [-26], [1], [-11], [24], [80], [66], [55], [30], [-8], [-15], [2], [20], [70], [-52], [28], [89], [72], [-42], [-29], [-18], [-70], [-68], [-46], [-53], [36], [59], [46], [44], [-26], [53], [14], [12], [21], [-19], [-96], [-56], [5], [12], [-55], [-4], [36], [48], [34], [39], [-74], [37], [-57], [-98], [70], [-95], [48], [87], [48], [-62], [-32], [0], [-96], [-14], [-5], [84], [-39], [-19], [-50], [-77], [68], [-33], [89], [30], [96], [-75], [-52], [-39], [-96], [-48], [62], [6], [-4], [9], [65], [48], [59], [-20], [-31], [-30], [26], [-10], [81], [-42], [-24], [-22], [58], [77], [-69], [-24], [24], [-3], [53], [-38]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425149704, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1800.2.a.h', 'level': 1800, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 3, 4, 3, 2, 3, 3, 4], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [35, 39, 35, 36, 40, 33, 36, 35], 'Nk2': 7200, 'analytic_conductor': 14.373072363830468, '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': [1800, 1, [1351, 901, 1001, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 313, 'dim': 24, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33556232, '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], 'label': '1800.2.a', 'level': 1800, 'level_is_powerful': True, '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': 408, 'mf_new_dim': 24, 'num_forms': 24, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 24, 'sturm_bound': 720, 'trace_bound': 13, 'trace_display': [0, 0, 0, -4], 'traces': [24, 0, 0, 0, 0, 0, -4, 0, 0, 0, 6, 0, -4, 0, 0, 0, -4, 0, -6, 0, 0, 0, -12, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -26, 0, 12, 0, 0, 0, 20, 0, 32, 0, 0, 0, 20, 0, 0, 0, 0, 0, 32, 0, 8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 32, 0, 4, 0, 0, 0, -16, 0, -12, 0, 0, 0, -20, 0, 0, 0, 0, 0, -6, 0, -32, 0, 0, 0, 0, 0, 36, 0, 0, 0, 12, 0, 4, 0, 0, 0, -12, 0, 40, 0, 0, 0, 36, 0, 0, 0, 0, 0, -36, 0, 42, 0, 0, 0, 0, 0, -4, 0, 0, 0, 40, 0, -16, 0, 0, 0, -12, 0, -46, 0, 0, 0, -40, 0, 0, 0, 0, 0, 40, 0, 28, 0, 0, 0, 0, 0, -20, 0, 0, 0, -8, 0, -36, 0, 0, 0, 44, 0, -24, 0, 0, 0, 52, 0, 0, 0, 0, 0, 22, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 0, 36, 0, -12, 0, 0, 0, 4, 0, 24, 0, 0, 0, -16, 0, 0, 0, 0, 0, -42, 0, -18, 0, 0, 0, 0, 0, -48, 0, 0, 0, -8, 0, 36, 0, 0, 0, -52, 0, -20, 0, 0, 0, -4, 0, 0, 0, 0, 0, -64, 0, 22, 0, 0, 0, 0, 0, 16, 0, 0, 0, -30, 0, -16, 0, 0, 0, -12, 0, 16, 0, 0, 0, -44, 0, 0, 0, 0, 0, 88, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, 0, -68, 0, 28, 0, 0, 0, 64, 0, 58, 0, 0, 0, -12, 0, 0, 0, 0, 0, 16, 0, -48, 0, 0, 0, 0, 0, 84, 0, 0, 0, -108, 0, 4, 0, 0, 0, 4, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, -48, 0, -110, 0, 0, 0, 0, 0, -12, 0, 0, 0, 4, 0, 40, 0, 0, 0, -52, 0, -128, 0, 0, 0, 12, 0, 0, 0, 0, 0, 20, 0, -30, 0, 0, 0, 0, 0, -84, 0, 0, 0, -64, 0, 28, 0, 0, 0, 16, 0, -114, 0, 0, 0, -4, 0, 0, 0, 0, 0, -28, 0, 20, 0, 0, 0, 0, 0, -36, 0, 0, 0, -10, 0, 16, 0, 0, 0, 56, 0, 46, 0, 0, 0, 16, 0, 0, 0, 0, 0, -114, 0, -68, 0, 0, 0, 0, 0, 24, 0, 0, 0, 84, 0, 52, 0, 0, 0, 16, 0, 144, 0, 0, 0, 52, 0, 0, 0, 0, 0, 86, 0, 26, 0, 0, 0, 0, 0, 52, 0, 0, 0, 80, 0, -92, 0, 0, 0, -76, 0, -4, 0, 0, 0, -64, 0, 0, 0, 0, 0, 92, 0, 8, 0, 0, 0, 0, 0, 28, 0, 0, 0, 88, 0, -72, 0, 0, 0, 0, 0, -80, 0, 0, 0, -4, 0, 0, 0, 0, 0, -172, 0, 116, 0, 0, 0, 0, 0, -16, 0, 0, 0, 78, 0, -84, 0, 0, 0, 48, 0, -24, 0, 0, 0, -72, 0, 0, 0, 0, 0, 166, 0, 68, 0, 0, 0, 0, 0, -108, 0, 0, 0, -88, 0, -16, 0, 0, 0, -44, 0, -128, 0, 0, 0, 84, 0, 0, 0, 0, 0, 62, 0, -88, 0, 0, 0, 0, 0, -92, 0, 0, 0, -76, 0, -16, 0, 0, 0, -60, 0, 76, 0, 0, 0, 20, 0, 0, 0, 0, 0, -220, 0, -110, 0, 0, 0, 0, 0, 12, 0, 0, 0, -96, 0, 76, 0, 0, 0, 12, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, -12, 0, -100, 0, 0, 0, 0, 0, 124, 0, 0, 0, -100, 0, 44, 0, 0, 0, 20, 0, -32, 0, 0, 0, 4, 0, 0, 0, 0, 0, 162, 0, -84, 0, 0, 0, 0, 0, 168, 0, 0, 0, 52, 0, -76, 0, 0, 0, 52, 0, 88, 0, 0, 0, 92, 0, 0, 0, 0, 0, -72, 0, 50, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 16, 0, 0, 0, -80, 0, -68, 0, 0, 0, -96, 0, 0, 0, 0, 0, -44, 0, -40, 0, 0, 0, 0, 0, -132, 0, 0, 0, 184, 0, 76, 0, 0, 0, 0, 0, -88, 0, 0, 0, 12, 0, 0, 0, 0, 0, 116, 0, 160, 0, 0, 0, 0, 0, -132, 0, 0, 0, 246, 0, 88, 0, 0, 0, 72, 0, -98, 0, 0, 0, -140, 0, 0, 0, 0, 0, 86, 0, 136, 0, 0, 0, 0, 0, 4, 0, 0, 0, 76, 0, 56, 0, 0, 0, 36, 0, 288, 0, 0, 0, 40, 0, 0, 0, 0, 0, -92, 0, 136, 0, 0, 0, 0, 0, 176, 0, 0, 0, 60, 0, -28, 0, 0, 0, -36, 0, 204, 0, 0, 0, 28, 0, 0, 0, 0, 0, -120, 0, 56, 0, 0, 0, 0, 0, 92, 0, 0, 0, -256, 0, -20, 0, 0, 0, 76, 0, -142, 0, 0, 0, 4, 0, 0, 0, 0, 0, 84, 0, 120, 0, 0, 0, 0, 0, -20, 0, 0, 0, -60, 0, -148, 0, 0, 0, 12, 0, -144, 0, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, -4, 0, 0, 0, 0, 0, -156, 0, 0, 0, -280, 0, 16, 0, 0, 0, 16, 0, 28, 0, 0, 0, 32, 0, 0, 0, 0, 0, -28, 0, -86, 0, 0, 0, 0, 0, -92, 0, 0, 0, -200, 0, 56, 0, 0, 0, -100, 0, -64, 0, 0, 0, -92, 0, 0, 0, 0, 0, 188, 0, -152, 0, 0, 0, 0, 0, 44, 0, 0, 0, -90, 0, 48, 0, 0, 0, -20, 0, 78, 0, 0, 0, 44, 0, 0, 0, 0, 0, -64, 0, -108, 0, 0, 0, 0, 0, 44, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 815238
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '200.2.a.a', 'target_level': 200, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 815239
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '200.2.a.e', 'target_level': 200, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 815240
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '200.2.c.a', 'target_level': 200, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 815241
{'conductor': 12, '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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.2.a.a', 'target_level': 400, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 815242
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '400.2.a.h', 'target_level': 400, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 815243
{'conductor': 60, '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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.2.c.a', 'target_level': 400, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 815244
{'conductor': 24, '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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1600.2.a.a', 'target_level': 1600, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 815245
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1600.2.a.b', 'target_level': 1600, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 815246
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1600.2.a.x', 'target_level': 1600, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 815247
{'conductor': 24, '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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1600.2.a.y', 'target_level': 1600, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 815248
{'conductor': 120, '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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1600.2.c.a', 'target_level': 1600, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 815249
{'conductor': 120, '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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1600.2.c.b', 'target_level': 1600, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 815250
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1800.2.a.h', 'target_level': 1800, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 815251
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1800.2.a.r', 'target_level': 1800, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 815252
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1800.2.f.f', 'target_level': 1800, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 815253
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3600.2.a.m', 'target_level': 3600, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 815254
{'conductor': 4, '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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '3600.2.a.bf', 'target_level': 3600, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 815255
{'conductor': 20, '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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3600.2.f.n', 'target_level': 3600, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 815256
{'conductor': 21, '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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '9800.2.a.c', 'target_level': 9800, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 815257
{'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': '1800.2.a.h', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '9800.2.a.bq', 'target_level': 9800, 'twist_class_label': '200.2.a.a', 'twist_class_level': 200, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2215500
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 2}
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id: 2215501
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 3}
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id: 2215502
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 5}
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id: 2215503
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 7}
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id: 2215504
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 11}
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id: 2215505
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 13}
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id: 2215506
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 17}
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id: 2215507
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 19}
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id: 2215508
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 23}
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id: 2215509
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 29}
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id: 2215510
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 31}
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id: 2215511
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 37}
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id: 2215512
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 41}
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id: 2215513
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 43}
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id: 2215514
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 47}
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id: 2215515
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 53}
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id: 2215516
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 59}
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id: 2215517
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 61}
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id: 2215518
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 67}
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id: 2215519
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 71}
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id: 2215520
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 73}
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id: 2215521
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 79}
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id: 2215522
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 83}
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id: 2215523
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 89}
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id: 2215524
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 31525197425149704, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '1800.2.a.h', 'level': 1800, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47967337
{'hecke_orbit_code': 31525197425149704, 'n': 1, 'trace_an': 1}
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id: 47967338
{'hecke_orbit_code': 31525197425149704, 'n': 2, 'trace_an': 0}
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id: 47967339
{'hecke_orbit_code': 31525197425149704, 'n': 3, 'trace_an': 0}
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id: 47967340
{'hecke_orbit_code': 31525197425149704, 'n': 4, 'trace_an': 0}
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id: 47967341
{'hecke_orbit_code': 31525197425149704, 'n': 5, 'trace_an': 0}
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id: 47967342
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{'hecke_orbit_code': 31525197425149704, 'n': 691, 'trace_an': -19}
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id: 47967549
{'hecke_orbit_code': 31525197425149704, 'n': 701, 'trace_an': 28}
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id: 47967550
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id: 47967551
{'hecke_orbit_code': 31525197425149704, 'n': 719, 'trace_an': 14}
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id: 47967552
{'hecke_orbit_code': 31525197425149704, 'n': 727, 'trace_an': -8}
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id: 47967553
{'hecke_orbit_code': 31525197425149704, 'n': 729, 'trace_an': 0}
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id: 47967554
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id: 47967555
{'hecke_orbit_code': 31525197425149704, 'n': 739, 'trace_an': 12}
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id: 47967556
{'hecke_orbit_code': 31525197425149704, 'n': 743, 'trace_an': 30}
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id: 47967557
{'hecke_orbit_code': 31525197425149704, 'n': 751, 'trace_an': 24}
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id: 47967558
{'hecke_orbit_code': 31525197425149704, 'n': 757, 'trace_an': -32}
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id: 47967559
{'hecke_orbit_code': 31525197425149704, 'n': 761, 'trace_an': 3}
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id: 47967560
{'hecke_orbit_code': 31525197425149704, 'n': 769, 'trace_an': 13}
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id: 47967561
{'hecke_orbit_code': 31525197425149704, 'n': 773, 'trace_an': 0}
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id: 47967562
{'hecke_orbit_code': 31525197425149704, 'n': 787, 'trace_an': 52}
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id: 47967563
{'hecke_orbit_code': 31525197425149704, 'n': 797, 'trace_an': 42}
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id: 47967564
{'hecke_orbit_code': 31525197425149704, 'n': 809, 'trace_an': -18}
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id: 47967565
{'hecke_orbit_code': 31525197425149704, 'n': 811, 'trace_an': 44}
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id: 47967566
{'hecke_orbit_code': 31525197425149704, 'n': 821, 'trace_an': 38}
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id: 47967567
{'hecke_orbit_code': 31525197425149704, 'n': 823, 'trace_an': -28}
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id: 47967568
{'hecke_orbit_code': 31525197425149704, 'n': 827, 'trace_an': 3}
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id: 47967569
{'hecke_orbit_code': 31525197425149704, 'n': 829, 'trace_an': -20}
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id: 47967570
{'hecke_orbit_code': 31525197425149704, 'n': 839, 'trace_an': 16}
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id: 47967571
{'hecke_orbit_code': 31525197425149704, 'n': 841, 'trace_an': 35}
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id: 47967572
{'hecke_orbit_code': 31525197425149704, 'n': 853, 'trace_an': 22}
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id: 47967573
{'hecke_orbit_code': 31525197425149704, 'n': 857, 'trace_an': -3}
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id: 47967574
{'hecke_orbit_code': 31525197425149704, 'n': 859, 'trace_an': 41}
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id: 47967575
{'hecke_orbit_code': 31525197425149704, 'n': 863, 'trace_an': 48}
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id: 47967576
{'hecke_orbit_code': 31525197425149704, 'n': 877, 'trace_an': -4}
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id: 47967577
{'hecke_orbit_code': 31525197425149704, 'n': 881, 'trace_an': -30}
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id: 47967578
{'hecke_orbit_code': 31525197425149704, 'n': 883, 'trace_an': -5}
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id: 47967579
{'hecke_orbit_code': 31525197425149704, 'n': 887, 'trace_an': 28}
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id: 47967580
{'hecke_orbit_code': 31525197425149704, 'n': 907, 'trace_an': -12}
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id: 47967581
{'hecke_orbit_code': 31525197425149704, 'n': 911, 'trace_an': -28}
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id: 47967582
{'hecke_orbit_code': 31525197425149704, 'n': 919, 'trace_an': -34}
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id: 47967583
{'hecke_orbit_code': 31525197425149704, 'n': 929, 'trace_an': 2}
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id: 47967584
{'hecke_orbit_code': 31525197425149704, 'n': 937, 'trace_an': 5}
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id: 47967585
{'hecke_orbit_code': 31525197425149704, 'n': 941, 'trace_an': -4}
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id: 47967586
{'hecke_orbit_code': 31525197425149704, 'n': 947, 'trace_an': 40}
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id: 47967587
{'hecke_orbit_code': 31525197425149704, 'n': 953, 'trace_an': -39}
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id: 47967588
{'hecke_orbit_code': 31525197425149704, 'n': 961, 'trace_an': 69}
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id: 47967589
{'hecke_orbit_code': 31525197425149704, 'n': 967, 'trace_an': 0}
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id: 47967590
{'hecke_orbit_code': 31525197425149704, 'n': 971, 'trace_an': 31}
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id: 47967591
{'hecke_orbit_code': 31525197425149704, 'n': 977, 'trace_an': 17}
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id: 47967592
{'hecke_orbit_code': 31525197425149704, 'n': 983, 'trace_an': 6}
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id: 47967593
{'hecke_orbit_code': 31525197425149704, 'n': 991, 'trace_an': 38}
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id: 47967594
{'hecke_orbit_code': 31525197425149704, 'n': 997, 'trace_an': 12}