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{'Nk2': 16048, 'analytic_conductor': 32.03598129093769, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [17, -1], [59, 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': [4012, 1, [2007, 3777, 3129], [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': [[3, [3, 1]], [5, [1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660928940, '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': '4012.2.a.b', 'level': 4012, '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, 17, 59], 'level_radical': 2006, 'minimal_twist': '4012.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}-q^{5}-5q^{7}+6q^{9}-2q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/4012/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4012.2.a', 'trace_display': [0, -3, -1, -5], 'trace_hash': 222756878670368151, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.993', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-3], [0], [-1], [0], [-5], [0], [6], [0], [-2], [0], [4], [0], [3], [0], [1], [0], [-3], [0], [15], [0], [-4], [0], [-4], [0], [-9], [0], [-3], [0], [8], [0], [6], [0], [5], [0], [0], [0], [-12], [0], [3], [0], [4], [0], [-6], [0], [8], [0], [18], [0], [-3], [0], [7], [0], [2], [0], [9], [0], [-1], [0], [10], [0], [-30], [0], [-4], [0], [10], [0], [12], [0], [-8], [0], [-10], [0], [12], [0], [10], [0], [13], [0], [9], [0], [-4], [0], [-1], [0], [9], [0], [14], [0], [-20], [0], [-24], [0], [3], [0], [2], [0], [-12], [0]], 'ap': [[0], [-3], [-1], [-5], [-2], [4], [1], [-3], [-4], [-3], [8], [0], [3], [4], [8], [7], [-1], [10], [10], [-8], [-10], [13], [-4], [14], [2], [2], [-16], [-3], [2], [-12], [-7], [4], [3], [-4], [-18], [-14], [-20], [16], [-17], [-6], [20], [1], [18], [3], [-18], [-5], [6], [0], [18], [-14], [4], [11], [-11], [-21], [-27], [-21], [12], [29], [11], [27], [20], [-11], [-25], [-13], [-2], [6], [17], [8], [0], [-24], [-12], [17], [20], [26], [-5], [-36], [10], [-2], [-32], [16], [0], [32], [0], [-33], [12], [-12], [33], [8], [-18], [-4], [-6], [-16], [-13], [27], [-19], [6], [-8], [-26], [11], [8], [-12], [-1], [-44], [28], [-22], [-23], [-38], [1], [33], [-28], [31], [26], [-7], [11], [-32], [-30], [-23], [-9], [11], [-14], [-13], [-2], [22], [-6], [44], [36], [25], [-26], [48], [42], [-8], [-40], [-38], [9], [-15], [-42], [-14], [44], [54], [16], [-28], [46], [-46], [20], [45], [30], [25], [18], [48], [-6], [-35], [24], [51], [-18], [17], [-37], [40], [-38], [12], [8], [45], [-54], [-12], [-57], [-38], [-50], [2], [1], [-10], [10], [-12], [4], [-25], [20], [37], [49], [-41], [38], [-8], [11], [-7], [-19], [-50], [-57], [-24], [-18], [64], [36], [-24], [50], [-64], [-46], [-22], [-54], [-23], [-42], [-26], [30], [42], [42], [-62], [-59], [10], [-40], [-69], [-24], [-20], [-8], [-32], [4], [-58], [-65], [57], [-69], [-33], [18], [-16], [-6], [2], [-50], [-20], [-12], [6], [67], [-28], [6], [55], [-32], [22], [13], [-32], [24], [26], [62], [26], [-25], [34], [-48], [-50], [28], [9], [60], [-29], [21], [-63], [-16], [36], [40], [59], [-31], [-7], [-4], [22], [-75], [9], [-44], [13], [32], [-70], [14], [24], [9], [67], [-66], [21], [50], [45], [-8], [5], [-19], [-20], [-20], [-58], [-41], [-57], [66], [16], [7], [28], [-69], [-64], [52], [20], [42], [30], [-26], [38], [31], [18], [-33], [12], [-52], [54], [-50], [61], [32], [-48], [49], [-54], [-64], [21], [58], [36], [-72], [61], [-52], [75], [-2], [-12], [-52], [69], [-69], [9], [58], [-21], [30], [26], [23], [-14], [30], [-60], [54], [35], [-55], [-7], [-46], [16], [-68], [82], [-78], [80], [12], [26], [-69], [-44], [-1], [-15], [38], [-32], [-43], [-86], [32], [-76], [12], [70], [-34], [80], [-17], [20], [22], [-10], [-15], [-27], [-66], [54], [6], [42], [41], [-11], [-81], [-32], [15], [-63], [34], [20], [64], [-12], [-61], [22], [44], [56], [24], [-2], [26], [7], [-44], [92], [-2], [-72], [73], [-59], [-60], [24], [6], [-81], [-46], [-93], [10], [-100], [78], [-46], [-44], [30], [-28], [6], [24], [-77], [-33], [-45], [-51], [-58], [-84], [-11], [18], [-39], [-78], [40], [19], [-26], [24], [-37], [18], [-100], [-1], [59], [-11], [34], [88], [36], [45], [-24], [74], [-24], [-59], [71], [21], [-4], [-50], [-17], [60]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660928940, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4012.2.a.b', 'level': 4012, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 19, 17, 19, 21], 'Nk2': 16048, 'analytic_conductor': 32.03598129093769, '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': [4012, 1, [2007, 3777, 3129], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 535, 'dim': 76, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33558444, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 3, 12, 15, 18, 21], 'label': '4012.2.a', 'level': 4012, '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, 17, 59], 'level_radical': 2006, 'mf_dim': 546, 'mf_new_dim': 76, 'num_forms': 10, 'plus_dim': 36, 'prim_orbit_index': 1, 'relative_dim': 76, 'sturm_bound': 1080, 'trace_bound': 5, 'trace_display': [0, 0, 4, -4], 'traces': [76, 0, 0, 0, 4, 0, -4, 0, 80, 0, 0, 0, -8, 0, -4, 0, 4, 0, -16, 0, 16, 0, 8, 0, 64, 0, -12, 0, 8, 0, 8, 0, 16, 0, -12, 0, -24, 0, -28, 0, 8, 0, -8, 0, 76, 0, -4, 0, 80, 0, 4, 0, 4, 0, 8, 0, 20, 0, 0, 0, 12, 0, 20, 0, 12, 0, -16, 0, 8, 0, 52, 0, 0, 0, 8, 0, -4, 0, 20, 0, 60, 0, 16, 0, 0, 0, 16, 0, 24, 0, -28, 0, -16, 0, -60, 0, -28, 0, -4, 0, -12, 0, -44, 0, -24, 0, -20, 0, 8, 0, 32, 0, -36, 0, -60, 0, -32, 0, 0, 0, 76, 0, 36, 0, 12, 0, -12, 0, 40, 0, 0, 0, -56, 0, -48, 0, -32, 0, -4, 0, 144, 0, 68, 0, -44, 0, 40, 0, -12, 0, -40, 0, 4, 0, 104, 0, -24, 0, -60, 0, -16, 0, -12, 0, -64, 0, -56, 0, 84, 0, 20, 0, 32, 0, -48, 0, 4, 0, -36, 0, -40, 0, 36, 0, 32, 0, -16, 0, 96, 0, 8, 0, -52, 0, 124, 0, 20, 0, -48, 0, -32, 0, 80, 0, 4, 0, 12, 0, -32, 0, -56, 0, -12, 0, -76, 0, -40, 0, 84, 0, -8, 0, -24, 0, 24, 0, 40, 0, 60, 0, -16, 0, 40, 0, -28, 0, -44, 0, -36, 0, -56, 0, 144, 0, 92, 0, -16, 0, -16, 0, -32, 0, -24, 0, 0, 0, -16, 0, -28, 0, 128, 0, 20, 0, -8, 0, 40, 0, -24, 0, -52, 0, -60, 0, -52, 0, 136, 0, -124, 0, 100, 0, -68, 0, -120, 0, -16, 0, 76, 0, -48, 0, -88, 0, 0, 0, 132, 0, -4, 0, -52, 0, -8, 0, 0, 0, 96, 0, -24, 0, -28, 0, -88, 0, 8, 0, -100, 0, -124, 0, 76, 0, 4, 0, -60, 0, -136, 0, -48, 0, -92, 0, -76, 0, -36, 0, -84, 0, -12, 0, -8, 0, -116, 0, -44, 0, 44, 0, 0, 0, -148, 0, 12, 0, -56, 0, 16, 0, -84, 0, 112, 0, 124, 0, -60, 0, -32, 0, -208, 0, 52, 0, -40, 0, -40, 0, 24, 0, -8, 0, -12, 0, -56, 0, 92, 0, 4, 0, 4, 0, -20, 0, -96, 0, 32, 0, -44, 0, 40, 0, -108, 0, -88, 0, 100, 0, 64, 0, -36, 0, 44, 0, 20, 0, -4, 0, 108, 0, 36, 0, 48, 0, 112, 0, 28, 0, 112, 0, 4, 0, 16, 0, 8, 0, -124, 0, -60, 0, 108, 0, 156, 0, 104, 0, -152, 0, -92, 0, 24, 0, 28, 0, -12, 0, -188, 0, -40, 0, 16, 0, -28, 0, 116, 0, -40, 0, 56, 0, 20, 0, 140, 0, -28, 0, -52, 0, -12, 0, 24, 0, -92, 0, 0, 0, 20, 0, -40, 0, -16, 0, -128, 0, 20, 0, 104, 0, 80, 0, -28, 0, -12, 0, 64, 0, -72, 0, -8, 0, 24, 0, -64, 0, 80, 0, 40, 0, 148, 0, -140, 0, 92, 0, 24, 0, 176, 0, -20, 0, 0, 0, 0, 0, -156, 0, -4, 0, 96, 0, -136, 0, -120, 0, 100, 0, -184, 0, 8, 0, 68, 0, 92, 0, -216, 0, -32, 0, 208, 0, 168, 0, 8, 0, -4, 0, -44, 0, 68, 0, -108, 0, -16, 0, -56, 0, 72, 0, -68, 0, -184, 0, 88, 0, 144, 0, 156, 0, -60, 0, -108, 0, 108, 0, 56, 0, -16, 0, -104, 0, 84, 0, -44, 0, -232, 0, -140, 0, 96, 0, 84, 0, -16, 0, -12, 0, 40, 0, -28, 0, 56, 0, 276, 0, -68, 0, 68, 0, 204, 0, 8, 0, -64, 0, -92, 0, 216, 0, -56, 0, 268, 0, 164, 0, 16, 0, -56, 0, 180, 0, 20, 0, 296, 0, -112, 0, -64, 0, 192, 0, -112, 0, 24, 0, 32, 0, 60, 0, 148, 0, 28, 0, 4, 0, -200, 0, 40, 0, 116, 0, -52, 0, 28, 0, 72, 0, -192, 0, 8, 0, -60, 0, 248, 0, -160, 0, -56, 0, -28, 0, 60, 0, -64, 0, -20, 0, 228, 0, -24, 0, 36, 0, -92, 0, -12, 0, -144, 0, -20, 0, -72, 0, -176, 0, 16, 0, -92, 0, 88, 0, 140, 0, 8, 0, -8, 0, 28, 0, 40, 0, -16, 0, 28, 0, 20, 0, -176, 0, 72, 0, 56, 0, -156, 0, 152, 0, 8, 0, -92, 0, -48, 0, -24, 0, -52, 0, -48, 0, 0, 0, 96, 0, 188, 0, 88, 0, 88, 0, 76, 0, 156, 0, 108, 0, 180, 0, -200, 0, 40, 0, 84, 0, 4, 0, -44, 0, 228, 0, 36, 0, -32, 0, 116, 0, 116, 0, -8, 0, -192, 0, -68, 0, -88, 0, -204, 0, 156, 0, 148, 0, 0, 0, -8, 0, 36, 0, 8, 0, 60, 0, -120, 0, 80, 0, 28, 0, -76, 0, -32, 0, -60, 0, -80, 0, 240, 0, -4, 0, -136, 0, 128, 0, 224, 0, 84, 0, -28, 0, -28, 0, -48, 0, 48, 0, 36, 0, -144, 0, 0, 0, -32, 0, -60, 0, -8, 0, 168, 0, -148, 0, -164, 0, 144, 0, -144, 0, 0, 0, -72, 0, -40, 0, 328, 0, -28, 0, 40, 0, 68, 0, 28, 0, 44, 0, 32, 0, -52, 0, -24, 0, -172, 0, 36, 0, -76, 0, 216, 0, 76, 0, 72, 0, 56, 0, 16, 0, -292, 0, -124, 0, -24, 0, -20, 0, 96, 0, -24, 0, -32, 0, -56, 0, -104, 0, 184, 0, -292, 0, -32, 0, -80, 0, -136, 0, -56, 0, 140, 0, 88, 0, 8, 0, 152, 0, 112, 0, -48, 0, -168, 0, 4, 0, -180, 0, -112, 0, -244, 0, -76, 0, 68, 0, -92, 0, -40, 0, -24, 0, -116, 0, 48, 0, -64, 0, 36, 0, -16, 0, -188, 0, 36, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '4012.2.a.b', 'source_level': 4012, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '4012.2.a.b', 'target_level': 4012, 'twist_class_label': '4012.2.a.b', 'twist_class_level': 4012, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3470800
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 2}
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id: 3470801
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 3}
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id: 3470802
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 5}
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id: 3470803
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 7}
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id: 3470804
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 11}
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id: 3470805
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 13}
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id: 3470806
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 17}
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id: 3470807
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 19}
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id: 3470808
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 23}
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id: 3470809
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 29}
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id: 3470810
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 31}
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id: 3470811
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 37}
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id: 3470812
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 41}
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id: 3470813
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 43}
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id: 3470814
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 47}
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id: 3470815
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 53}
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id: 3470816
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 59}
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id: 3470817
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 61}
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id: 3470818
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 67}
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id: 3470819
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 71}
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id: 3470820
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 73}
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id: 3470821
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 79}
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id: 3470822
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 83}
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id: 3470823
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 89}
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id: 3470824
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660928940, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '4012.2.a.b', 'level': 4012, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66096000
{'hecke_orbit_code': 4503599660928940, 'n': 1, 'trace_an': 1}
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id: 66096001
{'hecke_orbit_code': 4503599660928940, 'n': 2, 'trace_an': 0}
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id: 66096002
{'hecke_orbit_code': 4503599660928940, 'n': 3, 'trace_an': -3}
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id: 66096003
{'hecke_orbit_code': 4503599660928940, 'n': 4, 'trace_an': 0}
-
id: 66096004
{'hecke_orbit_code': 4503599660928940, 'n': 5, 'trace_an': -1}
-
id: 66096005
{'hecke_orbit_code': 4503599660928940, 'n': 6, 'trace_an': 0}
-
id: 66096006
{'hecke_orbit_code': 4503599660928940, 'n': 7, 'trace_an': -5}
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id: 66096007
{'hecke_orbit_code': 4503599660928940, 'n': 8, 'trace_an': 0}
-
id: 66096008
{'hecke_orbit_code': 4503599660928940, 'n': 9, 'trace_an': 6}
-
id: 66096009
{'hecke_orbit_code': 4503599660928940, 'n': 10, 'trace_an': 0}
-
id: 66096010
{'hecke_orbit_code': 4503599660928940, 'n': 11, 'trace_an': -2}
-
id: 66096011
{'hecke_orbit_code': 4503599660928940, 'n': 12, 'trace_an': 0}
-
id: 66096012
{'hecke_orbit_code': 4503599660928940, 'n': 13, 'trace_an': 4}
-
id: 66096013
{'hecke_orbit_code': 4503599660928940, 'n': 14, 'trace_an': 0}
-
id: 66096014
{'hecke_orbit_code': 4503599660928940, 'n': 15, 'trace_an': 3}
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id: 66096015
{'hecke_orbit_code': 4503599660928940, 'n': 16, 'trace_an': 0}
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id: 66096016
{'hecke_orbit_code': 4503599660928940, 'n': 17, 'trace_an': 1}
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id: 66096017
{'hecke_orbit_code': 4503599660928940, 'n': 18, 'trace_an': 0}
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id: 66096018
{'hecke_orbit_code': 4503599660928940, 'n': 19, 'trace_an': -3}
-
id: 66096019
{'hecke_orbit_code': 4503599660928940, 'n': 20, 'trace_an': 0}
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id: 66096020
{'hecke_orbit_code': 4503599660928940, 'n': 21, 'trace_an': 15}
-
id: 66096021
{'hecke_orbit_code': 4503599660928940, 'n': 22, 'trace_an': 0}
-
id: 66096022
{'hecke_orbit_code': 4503599660928940, 'n': 23, 'trace_an': -4}
-
id: 66096023
{'hecke_orbit_code': 4503599660928940, 'n': 24, 'trace_an': 0}
-
id: 66096024
{'hecke_orbit_code': 4503599660928940, 'n': 25, 'trace_an': -4}
-
id: 66096025
{'hecke_orbit_code': 4503599660928940, 'n': 26, 'trace_an': 0}
-
id: 66096026
{'hecke_orbit_code': 4503599660928940, 'n': 27, 'trace_an': -9}
-
id: 66096027
{'hecke_orbit_code': 4503599660928940, 'n': 28, 'trace_an': 0}
-
id: 66096028
{'hecke_orbit_code': 4503599660928940, 'n': 29, 'trace_an': -3}
-
id: 66096029
{'hecke_orbit_code': 4503599660928940, 'n': 30, 'trace_an': 0}
-
id: 66096030
{'hecke_orbit_code': 4503599660928940, 'n': 31, 'trace_an': 8}
-
id: 66096031
{'hecke_orbit_code': 4503599660928940, 'n': 32, 'trace_an': 0}
-
id: 66096032
{'hecke_orbit_code': 4503599660928940, 'n': 33, 'trace_an': 6}
-
id: 66096033
{'hecke_orbit_code': 4503599660928940, 'n': 34, 'trace_an': 0}
-
id: 66096034
{'hecke_orbit_code': 4503599660928940, 'n': 35, 'trace_an': 5}
-
id: 66096035
{'hecke_orbit_code': 4503599660928940, 'n': 36, 'trace_an': 0}
-
id: 66096036
{'hecke_orbit_code': 4503599660928940, 'n': 37, 'trace_an': 0}
-
id: 66096037
{'hecke_orbit_code': 4503599660928940, 'n': 38, 'trace_an': 0}
-
id: 66096038
{'hecke_orbit_code': 4503599660928940, 'n': 39, 'trace_an': -12}
-
id: 66096039
{'hecke_orbit_code': 4503599660928940, 'n': 40, 'trace_an': 0}
-
id: 66096040
{'hecke_orbit_code': 4503599660928940, 'n': 41, 'trace_an': 3}
-
id: 66096041
{'hecke_orbit_code': 4503599660928940, 'n': 42, 'trace_an': 0}
-
id: 66096042
{'hecke_orbit_code': 4503599660928940, 'n': 43, 'trace_an': 4}
-
id: 66096043
{'hecke_orbit_code': 4503599660928940, 'n': 44, 'trace_an': 0}
-
id: 66096044
{'hecke_orbit_code': 4503599660928940, 'n': 45, 'trace_an': -6}
-
id: 66096045
{'hecke_orbit_code': 4503599660928940, 'n': 46, 'trace_an': 0}
-
id: 66096046
{'hecke_orbit_code': 4503599660928940, 'n': 47, 'trace_an': 8}
-
id: 66096047
{'hecke_orbit_code': 4503599660928940, 'n': 48, 'trace_an': 0}
-
id: 66096048
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