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{'Nk2': 4800, 'analytic_conductor': 17.700573001722184, 'analytic_rank': 1, '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': [300, 1, [151, 101, 277], [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, [7, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597831332140, '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': True, 'label': '300.4.a.g', 'level': 300, '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': '300.4.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{3}-7q^{7}+9q^{9}-54q^{11}-55q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '300.4.a', 'trace_display': [0, 3, 0, -7], 'trace_hash': 1412231282534868904, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.964', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.888', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [3], [0], [0], [0], [-7], [0], [9], [0], [-54], [0], [-55], [0], [0], [0], [18], [0], [-25], [0], [-21], [0], [-18], [0], [0], [0], [27], [0], [-54], [0], [-271], [0], [-162], [0], [0], [0], [314], [0], [-165], [0], [-360], [0], [-163], [0], [0], [0], [522], [0], [-294], [0], [54], [0], [-36], [0], [0], [0], [-75], [0], [126], [0], [47], [0], [-63], [0], [0], [0], [-343], [0], [-54], [0], [-1080], [0], [-1054], [0], [0], [0], [378], [0], [-568], [0], [81], [0], [1422], [0], [0], [0], [-162], [0], [1440], [0], [385], [0], [-813], [0], [0], [0], [-439], [0], [-486], [0]], 'ap': [[0], [3], [0], [-7], [-54], [-55], [18], [-25], [-18], [-54], [-271], [314], [-360], [-163], [522], [-36], [126], [47], [-343], [-1080], [-1054], [-568], [1422], [1440], [-439], [828], [548], [-1476], [1277], [1836], [-592], [-468], [2574], [-1756], [2682], [3395], [-1549], [-505], [-1476], [2358], [1566], [305], [-1746], [-3877], [2142], [-4033], [-4105], [1385], [-2520], [5129], [-3240], [-2988], [-2647], [-4212], [5724], [-4608], [-6426], [-3376], [5381], [-3474], [-2269], [-1674], [539], [1494], [-3997], [-3672], [1052], [-3871], [-7686], [-46], [-6714], [1296], [5903], [8867], [8837], [-10044], [-2736], [-12241], [9036], [8549], [1548], [6110], [5958], [7163], [17], [-9432], [-15228], [-250], [16956], [-4384], [-5166], [6966], [18431], [1224], [-2449], [-3312], [-9162], [-5418], [-6829], [3053], [20456], [-10854], [-24930], [-24786], [-14785], [15851], [23148], [-21888], [10764], [-25597], [-24976], [-2134], [13932], [-10429], [-6283], [-20916], [-23452], [-11916], [31842], [3672], [5138], [-5050], [28458], [24408], [16328], [6246], [-30679], [15462], [26801], [-22858], [-16900], [8028], [-12448], [-30103], [-17748], [13283], [26424], [-9709], [-7884], [-1476], [21455], [31086], [23381], [3636], [4058], [306], [42299], [-11484], [33560], [-14976], [-41893], [-720], [17309], [-7002], [1484], [-18882], [-50653], [35262], [20279], [42390], [-42426], [48168], [-51400], [33858], [47106], [-20844], [4133], [33122], [-15091], [-35838], [19242], [-39493], [-23418], [-16531], [28511], [-39168], [-14761], [-9090], [1745], [22571], [61397], [-44424], [-559], [27018], [-37710], [-8730], [48977], [36071], [-3283], [47034], [16337], [-48672], [-55159], [-15066], [34434], [-61938], [-70858], [13310], [-65142], [-31050], [33984], [-12556], [21266], [-36406], [-54036], [22698], [32591], [59202], [50796], [-18127], [899], [18810], [84797], [9108], [-39366], [86390], [-36919], [22986], [-78984], [-60138], [-24883], [36971], [-80190], [86888], [18360], [-65629], [-33606], [41778], [93311], [24930], [53957], [75980], [-32005], [49158], [37916], [90072], [28610], [51012], [98298], [52812], [88218], [84833], [-59281], [-81433], [75078], [-24498], [5915], [-8694], [84185], [-68634], [-75346], [-57438], [12636], [-61003], [18306], [-34812], [-9043], [75188], [-900], [-10258], [-62323], [93726], [68318], [-25405], [34938], [-51928], [-30582], [2088], [-60388], [-23526], [-36709], [-68968], [44138], [58949], [19385], [19469], [108342], [-129565], [-67537], [-85248], [-63792], [-97648], [-558], [-63433], [97667], [49338], [87713], [-14832], [109664], [45936], [-76734], [119124], [107820], [-88344], [-111169], [139104], [110585], [54360], [141066], [-121852], [59606], [-2844], [40157], [124722], [20276], [-5851], [24732], [-84715], [-132084], [24254], [-121662], [-84420], [-116100], [-64735], [-44658], [102257], [-84726], [47628], [91025], [106254], [13760], [-159301], [119844], [85553], [-33966], [112634], [-162649], [86039], [-183510], [-27864], [-95131], [27918], [15821], [84150], [106703], [107028], [82487], [-31068], [27557], [172424], [-117457], [-110520], [-196398], [-13993], [-12762], [52038], [-99523], [7127], [45180], [101484], [-93625], [-82342], [-183114], [115091], [-147925], [-50346], [115848], [-129222], [-29430], [-119466], [-168541], [14454], [-13230], [-83232], [-15220], [-164005], [121176], [-187804], [-103825], [-43380], [-26431], [-247662], [-246132], [-240688], [178985], [-38304], [-133182], [27071], [-16380], [-101635], [218214], [-6858], [-19072], [261576], [-159364], [35514], [-263287], [229742], [66644], [-83286], [-49699], [-143712], [122580], [-40879], [-126630], [111089], [32705], [-35244], [201977], [124812], [133202], [-33660], [257039], [174780], [68076], [-29536], [42329], [98568], [-135289], [-74916], [-272449], [46332], [-104382], [-225865], [145325], [-132660], [211986], [-139489], [-8424], [-309276], [-110376], [-163153], [-253818], [185778], [88238], [82944], [162576], [-50868], [235385], [-45990]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597831332140, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '300.4.a.g', 'level': 300, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 2, 2, 3, 2], 'Nk2': 4800, 'analytic_conductor': 17.700573001722184, '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': [300, 1, [151, 101, 277], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 162, 'dim': 9, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 67109164, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1], 'label': '300.4.a', 'level': 300, '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': 198, 'mf_new_dim': 9, 'num_forms': 9, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 9, 'sturm_bound': 240, 'trace_bound': 7, 'trace_display': [0, 3, 0, -12], 'traces': [9, 0, 3, 0, 0, 0, -12, 0, 81, 0, -76, 0, 90, 0, 0, 0, -42, 0, -100, 0, -84, 0, 192, 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mf_twists_nf • Show schema
Hide schema
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id: 232115
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '300.4.a.g', 'source_level': 300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '300.4.a.c', 'target_level': 300, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 232116
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '300.4.a.g', 'source_level': 300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '300.4.a.g', 'target_level': 300, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 232117
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '300.4.a.g', 'source_level': 300, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.4.d.a', 'target_level': 300, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 232118
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '300.4.a.g', 'source_level': 300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '900.4.a.h', 'target_level': 900, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 232119
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '300.4.a.g', 'source_level': 300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '900.4.a.k', 'target_level': 900, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 232120
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '300.4.a.g', 'source_level': 300, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '900.4.d.j', 'target_level': 900, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 232121
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '300.4.a.g', 'source_level': 300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1200.4.a.m', 'target_level': 1200, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 232122
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '300.4.a.g', 'source_level': 300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1200.4.a.y', 'target_level': 1200, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 232123
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '300.4.a.g', 'source_level': 300, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1200.4.f.s', 'target_level': 1200, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 668875
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 2}
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id: 668876
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 3}
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id: 668877
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 5}
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id: 668878
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 7}
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id: 668879
{'charpoly_factorization': [[[54, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 11}
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id: 668880
{'charpoly_factorization': [[[55, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 13}
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id: 668881
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 17}
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id: 668882
{'charpoly_factorization': [[[25, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 19}
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id: 668883
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 23}
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id: 668884
{'charpoly_factorization': [[[54, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 29}
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id: 668885
{'charpoly_factorization': [[[271, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 31}
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id: 668886
{'charpoly_factorization': [[[-314, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 37}
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id: 668887
{'charpoly_factorization': [[[360, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 41}
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id: 668888
{'charpoly_factorization': [[[163, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 43}
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id: 668889
{'charpoly_factorization': [[[-522, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 47}
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id: 668890
{'charpoly_factorization': [[[36, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 53}
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id: 668891
{'charpoly_factorization': [[[-126, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 59}
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id: 668892
{'charpoly_factorization': [[[-47, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 61}
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id: 668893
{'charpoly_factorization': [[[343, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 67}
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id: 668894
{'charpoly_factorization': [[[1080, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 71}
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id: 668895
{'charpoly_factorization': [[[1054, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 73}
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id: 668896
{'charpoly_factorization': [[[568, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 79}
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id: 668897
{'charpoly_factorization': [[[-1422, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 83}
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id: 668898
{'charpoly_factorization': [[[-1440, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 89}
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id: 668899
{'charpoly_factorization': [[[439, 1], 1]], 'hecke_orbit_code': 27021597831332140, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '300.4.a.g', 'level': 300, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 46510927
{'hecke_orbit_code': 27021597831332140, 'n': 1, 'trace_an': 1}
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id: 46510928
{'hecke_orbit_code': 27021597831332140, 'n': 2, 'trace_an': 0}
-
id: 46510929
{'hecke_orbit_code': 27021597831332140, 'n': 3, 'trace_an': 3}
-
id: 46510930
{'hecke_orbit_code': 27021597831332140, 'n': 4, 'trace_an': 0}
-
id: 46510931
{'hecke_orbit_code': 27021597831332140, 'n': 5, 'trace_an': 0}
-
id: 46510932
{'hecke_orbit_code': 27021597831332140, 'n': 6, 'trace_an': 0}
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id: 46510933
{'hecke_orbit_code': 27021597831332140, 'n': 7, 'trace_an': -7}
-
id: 46510934
{'hecke_orbit_code': 27021597831332140, 'n': 8, 'trace_an': 0}
-
id: 46510935
{'hecke_orbit_code': 27021597831332140, 'n': 9, 'trace_an': 9}
-
id: 46510936
{'hecke_orbit_code': 27021597831332140, 'n': 10, 'trace_an': 0}
-
id: 46510937
{'hecke_orbit_code': 27021597831332140, 'n': 11, 'trace_an': -54}
-
id: 46510938
{'hecke_orbit_code': 27021597831332140, 'n': 12, 'trace_an': 0}
-
id: 46510939
{'hecke_orbit_code': 27021597831332140, 'n': 13, 'trace_an': -55}
-
id: 46510940
{'hecke_orbit_code': 27021597831332140, 'n': 14, 'trace_an': 0}
-
id: 46510941
{'hecke_orbit_code': 27021597831332140, 'n': 15, 'trace_an': 0}
-
id: 46510942
{'hecke_orbit_code': 27021597831332140, 'n': 16, 'trace_an': 0}
-
id: 46510943
{'hecke_orbit_code': 27021597831332140, 'n': 17, 'trace_an': 18}
-
id: 46510944
{'hecke_orbit_code': 27021597831332140, 'n': 18, 'trace_an': 0}
-
id: 46510945
{'hecke_orbit_code': 27021597831332140, 'n': 19, 'trace_an': -25}
-
id: 46510946
{'hecke_orbit_code': 27021597831332140, 'n': 20, 'trace_an': 0}
-
id: 46510947
{'hecke_orbit_code': 27021597831332140, 'n': 21, 'trace_an': -21}
-
id: 46510948
{'hecke_orbit_code': 27021597831332140, 'n': 22, 'trace_an': 0}
-
id: 46510949
{'hecke_orbit_code': 27021597831332140, 'n': 23, 'trace_an': -18}
-
id: 46510950
{'hecke_orbit_code': 27021597831332140, 'n': 24, 'trace_an': 0}
-
id: 46510951
{'hecke_orbit_code': 27021597831332140, 'n': 25, 'trace_an': 0}
-
id: 46510952
{'hecke_orbit_code': 27021597831332140, 'n': 26, 'trace_an': 0}
-
id: 46510953
{'hecke_orbit_code': 27021597831332140, 'n': 27, 'trace_an': 27}
-
id: 46510954
{'hecke_orbit_code': 27021597831332140, 'n': 28, 'trace_an': 0}
-
id: 46510955
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