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{'Nk2': 7200, 'analytic_conductor': 26.550859502583275, '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': [450, 1, [101, 127], [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, [32, 1]], [11, [-60, 1]], [17, [-42, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694479810, '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': '450.4.a.b', 'level': 450, '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': '30.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+4q^{4}-2^{5}q^{7}-8q^{8}+60q^{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': '450.4.a', 'trace_display': [-2, 0, 0, -32], 'trace_hash': 76130298172691861, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.994', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [-2], [0], [4], [0], [0], [-32], [-8], [0], [0], [60], [0], [34], [64], [0], [16], [42], [0], [-76], [0], [0], [-120], [0], [0], [0], [-68], [0], [-128], [-6], [0], [-232], [-32], [0], [-84], [0], [0], [-134], [152], [0], [0], [-234], [0], [412], [240], [0], [0], [-360], [0], [681], [0], [0], [136], [222], [0], [0], [256], [0], [12], [-660], [0], [-490], [464], [0], [64], [0], [0], [-812], [168], [0], [0], [-120], [0], [-746], [268], [0], [-304], [-1920], [0], [152], [0], [0], [468], [-804], [0], [0], [-824], [0], [-480], [678], [0], [-1088], [0], [0], [720], [0], [0], [-194], [-1362], [0], [0]], 'ap': [[-2], [0], [0], [-32], [60], [34], [42], [-76], [0], [-6], [-232], [-134], [-234], [412], [-360], [222], [-660], [-490], [-812], [-120], [-746], [152], [-804], [678], [-194], [-798], [-1088], [1716], [-970], [426], [-200], [-60], [642], [-2836], [1554], [-2272], [-1694], [52], [-1200], [54], [-876], [3854], [2784], [-914], [-5202], [3152], [740], [520], [396], [-1330], [4866], [1824], [6482], [-1476], [4314], [-5280], [-5526], [2024], [-2054], [7302], [3724], [-7218], [-2540], [-1560], [934], [-1674], [-3988], [-2], [1764], [4310], [138], [11976], [-9704], [8122], [3404], [-2520], [-1566], [4354], [8046], [-2806], [-11580], [-370], [-5040], [3742], [-6208], [-15564], [15774], [-9722], [10890], [-15128], [10668], [-15264], [5776], [-14244], [-17116], [-16848], [3834], [18822], [15340], [18950], [10036], [10326], [4524], [-16362], [6620], [-8834], [3636], [6570], [-16584], [-502], [18568], [13114], [5250], [-10804], [-27088], [-18930], [-20108], [-7152], [-31626], [-28092], [-13186], [-5138], [6078], [32244], [4484], [30426], [13262], [-13920], [9376], [-6014], [-7468], [31248], [32840], [19066], [-6858], [22178], [14286], [18868], [-21690], [24726], [-2644], [37842], [880], [-12876], [-25498], [40584], [25738], [13314], [24524], [5592], [14386], [-47106], [-51548], [34080], [-25748], [24768], [-31264], [6174], [-28922], [-29238], [-2868], [24018], [-25712], [12396], [-46614], [-672], [-38776], [-30422], [-11182], [-28722], [-9012], [614], [-18264], [46390], [-21256], [31878], [33068], [-3582], [-9776], [37046], [16504], [44532], [-58070], [69042], [-8520], [-13806], [27826], [-21404], [-4486], [21504], [-26834], [48756], [47012], [-31110], [37068], [-18222], [-74350], [26578], [11130], [42288], [-23382], [78488], [-16406], [9026], [55500], [70710], [-30280], [-25476], [56790], [59132], [-26786], [-2862], [48688], [83700], [12312], [69146], [89080], [4686], [-55152], [-8922], [89870], [18560], [-28050], [54376], [102444], [72398], [-90462], [-101520], [28960], [-101268], [-73886], [3620], [-81736], [45462], [35884], [-112728], [91250], [8238], [114108], [-31512], [32268], [52220], [-90464], [61382], [-67302], [40872], [71464], [93396], [66908], [110568], [-25886], [37854], [4224], [-105766], [63558], [-78108], [-85234], [27196], [-115026], [13606], [31720], [-32484], [-92242], [-46958], [-8406], [4916], [34890], [-17322], [-13412], [-119778], [-139594], [38260], [-74522], [-109240], [-79202], [62896], [13668], [53462], [-120742], [53940], [-120984], [22880], [-22944], [8030], [-110612], [32976], [149038], [5454], [-46288], [-78594], [-38550], [-27780], [140082], [-92820], [70882], [-6342], [156776], [145566], [38460], [109396], [119350], [-96426], [-5560], [90636], [2348], [-56738], [-8604], [-167674], [-149112], [-122102], [77736], [43986], [-156066], [7204], [150816], [-22246], [-47532], [19536], [-29810], [-88050], [-42796], [182086], [-35526], [-133688], [76722], [119762], [-149740], [-94772], [-111624], [-97218], [68582], [38502], [123608], [-58500], [69788], [147732], [-165946], [53034], [794], [-2360], [-8582], [-111774], [13602], [-51520], [55254], [220404], [57998], [-36452], [-159168], [69534], [-209020], [-127610], [-88662], [-56936], [-149794], [16242], [26112], [-115092], [-20742], [106896], [86890], [188358], [91080], [-143940], [-142604], [-120794], [-29370], [-107504], [-92374], [-41436], [77756], [3096], [53682], [-19360], [-78206], [66084], [-69648], [11518], [-56658], [245398], [32442], [-50622], [-57104], [-142134], [174932], [130656], [-38392], [-213542], [58204], [36792], [199298], [11742], [234972], [-108236], [96216], [203926], [62408], [220662], [-142180], [-32046], [-104794], [-19350], [96136], [90258], [-202590], [-149056], [-114638], [-136434], [32452], [-189468], [-227666], [-191058], [-298620], [-229516], [9526], [-98454], [384], [-173984], [5466], [-196992], [-76038], [-262262], [-47736], [197388], [-152426], [245574], [50268], [140694], [294860], [-230184]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599694479810, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '450.4.a.b', 'level': 450, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [2, 3, 3, 4, 2, 3, 4, 3], 'Nk2': 7200, 'analytic_conductor': 26.550859502583275, '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': [450, 1, [101, 127], [1, 1]], 'conrey_index': 1, 'cusp_dim': 246, 'dim': 24, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 67109314, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], 'label': '450.4.a', 'level': 450, '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': 294, 'mf_new_dim': 24, 'num_forms': 22, 'plus_dim': 13, 'prim_orbit_index': 1, 'relative_dim': 24, 'sturm_bound': 360, 'trace_bound': 11, 'trace_display': [0, 0, 0, -36], 'traces': [24, 0, 0, 96, 0, 0, -36, 0, 0, 0, -78, 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mf_twists_nf • Show schema
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id: 331828
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '30.4.a.a', 'target_level': 30, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 331829
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '90.4.a.d', 'target_level': 90, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 331830
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '150.4.a.e', 'target_level': 150, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 331831
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '150.4.c.a', 'target_level': 150, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 331832
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '240.4.a.c', 'target_level': 240, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 331833
{'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': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.4.a.b', 'target_level': 450, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 331834
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '450.4.c.k', 'target_level': 450, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 331835
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.4.a.b', 'target_level': 720, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 331836
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '810.4.e.e', 'target_level': 810, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 331837
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '810.4.e.m', 'target_level': 810, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 331838
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '960.4.a.j', 'target_level': 960, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 331839
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '960.4.a.s', 'target_level': 960, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 331840
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '1200.4.a.bk', 'target_level': 1200, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 331841
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1200.4.f.u', 'target_level': 1200, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 331842
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.4.a.b', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1470.4.a.a', 'target_level': 1470, 'twist_class_label': '30.4.a.a', 'twist_class_level': 30, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 910475
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 2}
-
id: 910476
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 3}
-
id: 910477
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 5}
-
id: 910478
{'charpoly_factorization': [[[32, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 7}
-
id: 910479
{'charpoly_factorization': [[[-60, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 11}
-
id: 910480
{'charpoly_factorization': [[[-34, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 13}
-
id: 910481
{'charpoly_factorization': [[[-42, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 17}
-
id: 910482
{'charpoly_factorization': [[[76, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 19}
-
id: 910483
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 23}
-
id: 910484
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 29}
-
id: 910485
{'charpoly_factorization': [[[232, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 31}
-
id: 910486
{'charpoly_factorization': [[[134, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 37}
-
id: 910487
{'charpoly_factorization': [[[234, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 41}
-
id: 910488
{'charpoly_factorization': [[[-412, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 43}
-
id: 910489
{'charpoly_factorization': [[[360, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 47}
-
id: 910490
{'charpoly_factorization': [[[-222, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 53}
-
id: 910491
{'charpoly_factorization': [[[660, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 59}
-
id: 910492
{'charpoly_factorization': [[[490, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 61}
-
id: 910493
{'charpoly_factorization': [[[812, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 67}
-
id: 910494
{'charpoly_factorization': [[[120, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 71}
-
id: 910495
{'charpoly_factorization': [[[746, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 73}
-
id: 910496
{'charpoly_factorization': [[[-152, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 79}
-
id: 910497
{'charpoly_factorization': [[[804, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 83}
-
id: 910498
{'charpoly_factorization': [[[-678, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 89}
-
id: 910499
{'charpoly_factorization': [[[194, 1], 1]], 'hecke_orbit_code': 4503599694479810, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '450.4.a.b', 'level': 450, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 18709968
{'hecke_orbit_code': 4503599694479810, 'n': 1, 'trace_an': 1}
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id: 18709969
{'hecke_orbit_code': 4503599694479810, 'n': 2, 'trace_an': -2}
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id: 18709970
{'hecke_orbit_code': 4503599694479810, 'n': 3, 'trace_an': 0}
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id: 18709971
{'hecke_orbit_code': 4503599694479810, 'n': 4, 'trace_an': 4}
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id: 18709972
{'hecke_orbit_code': 4503599694479810, 'n': 5, 'trace_an': 0}
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id: 18709973
{'hecke_orbit_code': 4503599694479810, 'n': 6, 'trace_an': 0}
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id: 18709974
{'hecke_orbit_code': 4503599694479810, 'n': 7, 'trace_an': -32}
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id: 18709975
{'hecke_orbit_code': 4503599694479810, 'n': 8, 'trace_an': -8}
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id: 18709976
{'hecke_orbit_code': 4503599694479810, 'n': 9, 'trace_an': 0}
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id: 18709977
{'hecke_orbit_code': 4503599694479810, 'n': 10, 'trace_an': 0}
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id: 18709978
{'hecke_orbit_code': 4503599694479810, 'n': 11, 'trace_an': 60}
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id: 18709979
{'hecke_orbit_code': 4503599694479810, 'n': 12, 'trace_an': 0}
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id: 18709980
{'hecke_orbit_code': 4503599694479810, 'n': 13, 'trace_an': 34}
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id: 18709981
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