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{'Nk2': 26880, 'analytic_conductor': 99.12320880964423, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -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': [1680, 1, [1471, 421, 1121, 337, 241], [1, 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': [[11, [42, 1]], [13, [-20, 1]], [17, [-66, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793359779472, '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': '1680.4.a.s', 'level': 1680, '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, 7], 'level_radical': 210, 'minimal_twist': '105.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{3}+5q^{5}-7q^{7}+9q^{9}-42q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1680.4.a', 'trace_display': [0, 3, 5, -7], 'trace_hash': 1753328847705944982, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.963', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [3], [0], [5], [0], [-7], [0], [9], [0], [-42], [0], [20], [0], [15], [0], [66], [0], [-38], [0], [-21], [0], [-12], [0], [25], [0], [27], [0], [-258], [0], [-146], [0], [-126], [0], [-35], [0], [434], [0], [60], [0], [-282], [0], [-20], [0], [45], [0], [72], [0], [49], [0], [198], [0], [336], [0], [-210], [0], [-114], [0], [360], [0], [-682], [0], [-63], [0], [100], [0], [-812], [0], [-36], [0], [-810], [0], [-124], [0], [75], [0], [294], [0], [-1136], [0], [81], [0], [-156], [0], [330], [0], [-774], [0], [-1038], [0], [-140], [0], [-438], [0], [-190], [0], [1208], [0], [-378], [0]], 'ap': [[0], [3], [5], [-7], [-42], [20], [66], [-38], [-12], [-258], [-146], [434], [-282], [-20], [72], [336], [360], [-682], [-812], [-810], [-124], [-1136], [-156], [-1038], [1208], [546], [520], [-1212], [-1078], [-1452], [1312], [1356], [-984], [394], [-1014], [1996], [-2392], [-2036], [3936], [378], [222], [-2590], [-2214], [4178], [-3060], [-2666], [1348], [-3188], [3396], [5294], [852], [-4866], [-2050], [1152], [-6450], [-1968], [-3894], [-7094], [-3310], [7158], [5164], [-8598], [448], [5832], [9848], [-5616], [-452], [-2302], [-1584], [8174], [8610], [2154], [-6644], [7958], [-3440], [-12936], [-14862], [10460], [-9150], [-4894], [1668], [-12418], [-15186], [-5704], [17206], [-3456], [16074], [7526], [-2274], [10024], [2460], [-19320], [12544], [15510], [14344], [21384], [-7134], [-19122], [15640], [2846], [4444], [18552], [16452], [7722], [-2576], [-2464], [-1452], [10698], [8730], [1910], [5596], [28586], [-19236], [-6734], [-7184], [510], [20752], [-21072], [2892], [-750], [30062], [15446], [-25110], [-7968], [14398], [-9234], [8030], [-27060], [3724], [-5668], [16072], [8256], [6352], [11558], [7770], [22646], [-35502], [17080], [5730], [2550], [27538], [-19242], [11752], [28692], [28442], [-20172], [19820], [-10290], [31606], [-23172], [-15550], [28530], [28780], [-22872], [10708], [-1326], [13696], [42354], [6644], [1350], [-49320], [5940], [-47216], [-12552], [46908], [46128], [12184], [-5164], [24878], [33402], [45534], [14330], [-10650], [23762], [-12350], [8502], [-17660], [-17646], [3796], [-37438], [-10064], [57048], [34022], [-67278], [57168], [-53022], [-35422], [-61616], [50366], [-59988], [-71944], [23820], [36160], [48870], [-30000], [9162], [-51154], [13142], [-59874], [8544], [55998], [-76826], [9200], [-79234], [-18936], [-68334], [2482], [45420], [-31218], [3958], [-11914], [58650], [-51536], [77364], [-34092], [-72178], [-75800], [17970], [-78504], [31668], [-76642], [81358], [-9474], [14704], [62580], [-16270], [-67122], [-16806], [48688], [-1746], [-39706], [-36542], [110500], [88974], [-29288], [-39984], [-19582], [97836], [36750], [-103716], [-15612], [28474], [-60032], [32402], [15774], [-5076], [-47972], [-107028], [-79796], [-70596], [-43270], [-28398], [-103068], [-66238], [-17382], [-88674], [10658], [-36164], [79866], [13376], [45520], [103416], [-19186], [89264], [-3294], [32614], [19062], [-84066], [36052], [6084], [-68830], [141964], [57008], [-80984], [69464], [-29684], [-75324], [-64474], [-87190], [26352], [6336], [-16976], [-66216], [40250], [-59384], [114906], [-62386], [-51096], [96982], [-14814], [48390], [-21468], [-50892], [97212], [94718], [-132210], [-160526], [-31362], [-58920], [-87680], [-118780], [27996], [12220], [-62736], [-91568], [94034], [-85812], [94358], [39678], [-81178], [-156816], [-83274], [-82638], [98332], [-102060], [94070], [104316], [8082], [104744], [13146], [-108218], [39494], [55926], [41920], [-24528], [-27970], [-108560], [-136532], [-151524], [48312], [-70], [41652], [179818], [-150972], [92860], [-68004], [-62530], [117678], [-8386], [67444], [15518], [152076], [-48702], [106108], [69156], [-214974], [-59362], [13372], [104964], [-33654], [26458], [9758], [106062], [99088], [-4390], [189666], [137508], [150252], [-213612], [229128], [124382], [172710], [86064], [-15678], [-50456], [177014], [-61962], [-9200], [-83446], [-117258], [-101666], [69936], [110946], [-201566], [245594], [-153252], [22626], [-16072], [-136506], [-42604], [-63174], [47364], [-73136], [201408], [196810], [30192], [-78896], [74684], [101860], [115320], [-1690], [105246], [56130], [-125768], [-22338], [220250], [-252110], [61914], [-235208], [35118], [4394], [124188], [219328], [-144186], [-226482], [34090], [120602], [-266118], [-115292], [-59256], [-277972], [-5976], [45864], [56068], [-21526], [22074], [-180690], [-231284], [-73638], [-50952], [-255558], [71876], [58416], [43248], [-172744], [-198], [-101196], [-126126], [-61274], [-109788]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 81064793359779472, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1680.4.a.s', 'level': 1680, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [5, 4, 4, 5, 4, 5, 5, 4, 4, 6, 4, 4, 4, 4, 4, 6], 'Nk2': 26880, 'analytic_conductor': 99.12320880964423, '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': [1680, 1, [1471, 421, 1121, 337, 241], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1128, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17], 'hecke_orbit_code': 67110544, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '1680.4.a', 'level': 1680, '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, 7], 'level_radical': 210, 'mf_dim': 1176, 'mf_new_dim': 72, 'num_forms': 46, 'plus_dim': 40, 'prim_orbit_index': 1, 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mf_twists_nf • Show schema
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id: 788045
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1680.4.a.s', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '105.4.a.a', 'target_level': 105, 'twist_class_label': '105.4.a.a', 'twist_class_level': 105, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 788046
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1680.4.a.s', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '315.4.a.d', 'target_level': 315, 'twist_class_label': '105.4.a.a', 'twist_class_level': 105, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 788047
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1680.4.a.s', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '525.4.a.e', 'target_level': 525, 'twist_class_label': '105.4.a.a', 'twist_class_level': 105, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 788048
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1680.4.a.s', 'source_level': 1680, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '525.4.d.f', 'target_level': 525, 'twist_class_label': '105.4.a.a', 'twist_class_level': 105, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 788049
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1680.4.a.s', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '735.4.a.c', 'target_level': 735, 'twist_class_label': '105.4.a.a', 'twist_class_level': 105, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 788050
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1680.4.a.s', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1575.4.a.f', 'target_level': 1575, 'twist_class_label': '105.4.a.a', 'twist_class_level': 105, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 788051
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1680.4.a.s', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1680.4.a.s', 'target_level': 1680, 'twist_class_label': '105.4.a.a', 'twist_class_level': 105, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 788052
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1680.4.a.s', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2205.4.a.o', 'target_level': 2205, 'twist_class_label': '105.4.a.a', 'twist_class_level': 105, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2086100
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 2}
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id: 2086101
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 3}
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id: 2086102
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 5}
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id: 2086103
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 7}
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id: 2086104
{'charpoly_factorization': [[[42, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 11}
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id: 2086105
{'charpoly_factorization': [[[-20, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 13}
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id: 2086106
{'charpoly_factorization': [[[-66, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 17}
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id: 2086107
{'charpoly_factorization': [[[38, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 19}
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id: 2086108
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 23}
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id: 2086109
{'charpoly_factorization': [[[258, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 29}
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id: 2086110
{'charpoly_factorization': [[[146, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 31}
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id: 2086111
{'charpoly_factorization': [[[-434, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 37}
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id: 2086112
{'charpoly_factorization': [[[282, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 41}
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id: 2086113
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 43}
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id: 2086114
{'charpoly_factorization': [[[-72, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 47}
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id: 2086115
{'charpoly_factorization': [[[-336, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 53}
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id: 2086116
{'charpoly_factorization': [[[-360, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 59}
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id: 2086117
{'charpoly_factorization': [[[682, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 61}
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id: 2086118
{'charpoly_factorization': [[[812, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 67}
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id: 2086119
{'charpoly_factorization': [[[810, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 71}
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id: 2086120
{'charpoly_factorization': [[[124, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 73}
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id: 2086121
{'charpoly_factorization': [[[1136, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 79}
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id: 2086122
{'charpoly_factorization': [[[156, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 83}
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id: 2086123
{'charpoly_factorization': [[[1038, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 89}
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id: 2086124
{'charpoly_factorization': [[[-1208, 1], 1]], 'hecke_orbit_code': 81064793359779472, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1680.4.a.s', 'level': 1680, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 63442951
{'hecke_orbit_code': 81064793359779472, 'n': 1, 'trace_an': 1}
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id: 63442952
{'hecke_orbit_code': 81064793359779472, 'n': 2, 'trace_an': 0}
-
id: 63442953
{'hecke_orbit_code': 81064793359779472, 'n': 3, 'trace_an': 3}
-
id: 63442954
{'hecke_orbit_code': 81064793359779472, 'n': 4, 'trace_an': 0}
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id: 63442955
{'hecke_orbit_code': 81064793359779472, 'n': 5, 'trace_an': 5}
-
id: 63442956
{'hecke_orbit_code': 81064793359779472, 'n': 6, 'trace_an': 0}
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id: 63442957
{'hecke_orbit_code': 81064793359779472, 'n': 7, 'trace_an': -7}
-
id: 63442958
{'hecke_orbit_code': 81064793359779472, 'n': 8, 'trace_an': 0}
-
id: 63442959
{'hecke_orbit_code': 81064793359779472, 'n': 9, 'trace_an': 9}
-
id: 63442960
{'hecke_orbit_code': 81064793359779472, 'n': 10, 'trace_an': 0}
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id: 63442961
{'hecke_orbit_code': 81064793359779472, 'n': 11, 'trace_an': -42}
-
id: 63442962
{'hecke_orbit_code': 81064793359779472, 'n': 12, 'trace_an': 0}
-
id: 63442963
{'hecke_orbit_code': 81064793359779472, 'n': 13, 'trace_an': 20}
-
id: 63442964
{'hecke_orbit_code': 81064793359779472, 'n': 14, 'trace_an': 0}
-
id: 63442965
{'hecke_orbit_code': 81064793359779472, 'n': 15, 'trace_an': 15}
-
id: 63442966
{'hecke_orbit_code': 81064793359779472, 'n': 16, 'trace_an': 0}
-
id: 63442967
{'hecke_orbit_code': 81064793359779472, 'n': 17, 'trace_an': 66}
-
id: 63442968
{'hecke_orbit_code': 81064793359779472, 'n': 18, 'trace_an': 0}
-
id: 63442969
{'hecke_orbit_code': 81064793359779472, 'n': 19, 'trace_an': -38}
-
id: 63442970
{'hecke_orbit_code': 81064793359779472, 'n': 20, 'trace_an': 0}
-
id: 63442971
{'hecke_orbit_code': 81064793359779472, 'n': 21, 'trace_an': -21}
-
id: 63442972
{'hecke_orbit_code': 81064793359779472, 'n': 22, 'trace_an': 0}
-
id: 63442973
{'hecke_orbit_code': 81064793359779472, 'n': 23, 'trace_an': -12}
-
id: 63442974
{'hecke_orbit_code': 81064793359779472, 'n': 24, 'trace_an': 0}
-
id: 63442975
{'hecke_orbit_code': 81064793359779472, 'n': 25, 'trace_an': 25}
-
id: 63442976
{'hecke_orbit_code': 81064793359779472, 'n': 26, 'trace_an': 0}
-
id: 63442977
{'hecke_orbit_code': 81064793359779472, 'n': 27, 'trace_an': 27}
-
id: 63442978
{'hecke_orbit_code': 81064793359779472, 'n': 28, 'trace_an': 0}
-
id: 63442979
{'hecke_orbit_code': 81064793359779472, 'n': 29, 'trace_an': -258}
-
id: 63442980
{'hecke_orbit_code': 81064793359779472, 'n': 30, 'trace_an': 0}
-
id: 63442981
{'hecke_orbit_code': 81064793359779472, 'n': 31, 'trace_an': -146}
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