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{'Nk2': 28224, 'analytic_conductor': 104.07936925012645, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -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': [1764, 1, [883, 785, 1081], [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': [[5, [-6, 1]], [11, [-12, 1]], [13, [-82, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996340815588, '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': '1764.4.a.k', 'level': 1764, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '28.4.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+6q^{5}+12q^{11}+82q^{13}-30q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1764.4.a', 'trace_display': [0, 0, 6, 0], 'trace_hash': 1405597475156012574, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1], [0], [0], [0], [6], [0], [0], [0], [0], [0], [12], [0], [82], [0], [0], [0], [-30], [0], [-68], [0], [0], [0], [-216], [0], [-89], [0], [0], [0], [-246], [0], [112], [0], [0], [0], [0], [0], [110], [0], [0], [0], [-246], [0], [-172], [0], [0], [0], [192], [0], [0], [0], [0], [0], [-558], [0], [72], [0], [0], [0], [540], [0], [-110], [0], [0], [0], [492], [0], [140], [0], [0], [0], [840], [0], [550], [0], [0], [0], [0], [0], [-208], [0], [0], [0], [516], [0], [-180], [0], [0], [0], [-1398], [0], [0], [0], [0], [0], [-408], [0], [-1586], [0], [0], [0]], 'ap': [[0], [0], [6], [0], [12], [82], [-30], [-68], [-216], [-246], [112], [110], [-246], [-172], [192], [-558], [540], [-110], [140], [840], [550], [-208], [516], [-1398], [-1586], [-1242], [-680], [-996], [1382], [750], [176], [-1548], [-378], [2500], [-846], [-2536], [1186], [2108], [-1944], [-1362], [-1596], [1690], [-3552], [-2686], [1410], [2968], [-1348], [-3872], [5364], [874], [-378], [-1920], [-4322], [5292], [-5118], [-3768], [3918], [-4880], [-3538], [5430], [6436], [1350], [-3332], [-4728], [-5114], [-7206], [6260], [-5326], [-36], [-3134], [1218], [10008], [1072], [-274], [7652], [2160], [1074], [-6926], [-1938], [9574], [-5052], [3422], [-2208], [6814], [-12584], [-6996], [-9474], [5786], [3438], [9392], [-4956], [-20592], [-13432], [14172], [-5956], [16968], [5214], [-1398], [18580], [-18970], [-16036], [-8310], [7092], [7158], [6500], [-21794], [9756], [5586], [24], [-4298], [-8480], [-1906], [-7482], [7348], [4520], [19806], [5020], [28392], [17562], [-4716], [22762], [4802], [21558], [-3780], [5500], [-10230], [10190], [9408], [33064], [6322], [-20740], [-32040], [-12832], [-19906], [10842], [-28274], [-32346], [-30116], [-6594], [43014], [14164], [-34830], [31016], [-9876], [3154], [36936], [-9638], [10266], [4084], [192], [19910], [14802], [-32548], [1464], [-49564], [-8448], [14600], [-21102], [20806], [24510], [44148], [-27114], [-10264], [51468], [23790], [26424], [39488], [-30854], [-19246], [43782], [-62676], [-42302], [19272], [-52198], [38080], [-62742], [22964], [25650], [48904], [21250], [-37168], [-1500], [11630], [-5766], [5568], [-42042], [-1114], [62476], [39194], [-16944], [-38498], [15516], [34940], [-13218], [17556], [-7782], [12434], [25238], [-35838], [-83496], [43338], [53632], [-27542], [2590], [-15924], [-3474], [-48080], [61956], [8742], [53764], [-26926], [-61770], [-27880], [17820], [42168], [-14954], [47504], [68706], [-50664], [75498], [-80146], [-63272], [-39810], [55712], [66756], [63614], [78282], [-42000], [45160], [64812], [-10618], [-103412], [-83008], [-104730], [34612], [61392], [83614], [-70350], [-14004], [-1800], [28884], [-114812], [32392], [7094], [90354], [-62376], [5536], [12948], [-38284], [88656], [112646], [-60702], [-49176], [85414], [19614], [-60828], [-122242], [60916], [-36762], [63430], [23792], [3588], [48442], [-34382], [-107406], [-80420], [16362], [-108822], [49556], [55314], [-11918], [-104884], [18454], [39056], [-13970], [65176], [15324], [88358], [150362], [-31164], [88032], [-328], [-18504], [-12902], [118132], [112320], [-106894], [101586], [37480], [65154], [-72726], [-140700], [122454], [31692], [-39850], [110334], [-27584], [-45786], [80364], [-63044], [-30314], [100026], [2864], [-61548], [-144124], [-90238], [-120084], [-48734], [-159384], [134078], [-32976], [81474], [-66690], [74972], [-80376], [-127610], [95604], [100800], [-58562], [16206], [-36692], [-72022], [-98610], [-60256], [70086], [46366], [63164], [3652], [-71664], [-32622], [34934], [-60150], [-5168], [-98940], [66116], [53724], [-172618], [74178], [176806], [-153632], [-24562], [-146442], [-52458], [148376], [164010], [22212], [-98678], [45236], [-227376], [125046], [122236], [-61990], [123018], [22336], [112622], [-168918], [227856], [-64596], [113646], [-28536], [105374], [142938], [86112], [-64020], [-40436], [44282], [131886], [65960], [-138166], [220116], [-26588], [124368], [-38766], [130360], [157382], [-89148], [82992], [-187490], [-40734], [-91322], [-169122], [212262], [-113848], [14046], [-22916], [195192], [-19888], [-13142], [-5548], [-106416], [-56062], [113286], [-240900], [10348], [14760], [-39382], [-160976], [229866], [189284], [14274], [-74414], [257022], [-49552], [-118758], [109398], [-120680], [-187594], [200814], [-260852], [178404], [31246], [-51390], [63036], [-99700], [51194], [66894], [-11328], [87448], [-98046], [109032], [-117174], [236602], [-212400], [-281076], [72790], [134718], [-27852], [-242826], [-156332], [227352]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 45035996340815588, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1764.4.a.k', 'level': 1764, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 8, 12, 16, 15], 'Nk2': 28224, 'analytic_conductor': 104.07936925012645, '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': [1764, 1, [883, 785, 1081], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 960, 'dim': 51, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 67110628, 'hecke_orbit_dims': [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, 4, 4, 4], 'label': '1764.4.a', 'level': 1764, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 1056, 'mf_new_dim': 51, 'num_forms': 29, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 51, 'sturm_bound': 1344, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [51, 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mf_twists_nf • Show schema
Hide schema
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id: 808150
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '28.4.a.b', 'target_level': 28, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 808151
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '112.4.a.c', 'target_level': 112, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 808152
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '196.4.a.b', 'target_level': 196, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 808153
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '196.4.e.c', 'target_level': 196, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 808154
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '196.4.e.d', 'target_level': 196, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 808155
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '252.4.a.c', 'target_level': 252, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 808156
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.4.a.d', 'target_level': 448, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 808157
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '448.4.a.m', 'target_level': 448, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 808158
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '700.4.a.e', 'target_level': 700, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 808159
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '700.4.e.f', 'target_level': 700, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 808160
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '784.4.a.n', 'target_level': 784, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 808161
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1008.4.a.f', 'target_level': 1008, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 808162
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1764.4.a.k', 'target_level': 1764, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 808163
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1764.4.k.e', 'target_level': 1764, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 808164
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1764.4.a.k', 'source_level': 1764, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1764.4.k.k', 'target_level': 1764, 'twist_class_label': '28.4.a.b', 'twist_class_level': 28, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2188450
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 2}
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id: 2188451
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 3}
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id: 2188452
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 5}
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id: 2188453
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 7}
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id: 2188454
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 11}
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id: 2188455
{'charpoly_factorization': [[[-82, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 13}
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id: 2188456
{'charpoly_factorization': [[[30, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 17}
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id: 2188457
{'charpoly_factorization': [[[68, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 19}
-
id: 2188458
{'charpoly_factorization': [[[216, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 23}
-
id: 2188459
{'charpoly_factorization': [[[246, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 29}
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id: 2188460
{'charpoly_factorization': [[[-112, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 31}
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id: 2188461
{'charpoly_factorization': [[[-110, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 37}
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id: 2188462
{'charpoly_factorization': [[[246, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 41}
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id: 2188463
{'charpoly_factorization': [[[172, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 43}
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id: 2188464
{'charpoly_factorization': [[[-192, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 47}
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id: 2188465
{'charpoly_factorization': [[[558, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 53}
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id: 2188466
{'charpoly_factorization': [[[-540, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 59}
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id: 2188467
{'charpoly_factorization': [[[110, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 61}
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id: 2188468
{'charpoly_factorization': [[[-140, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 67}
-
id: 2188469
{'charpoly_factorization': [[[-840, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 71}
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id: 2188470
{'charpoly_factorization': [[[-550, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 73}
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id: 2188471
{'charpoly_factorization': [[[208, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 79}
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id: 2188472
{'charpoly_factorization': [[[-516, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 83}
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id: 2188473
{'charpoly_factorization': [[[1398, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 89}
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id: 2188474
{'charpoly_factorization': [[[1586, 1], 1]], 'hecke_orbit_code': 45035996340815588, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '1764.4.a.k', 'level': 1764, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 55230295
{'hecke_orbit_code': 45035996340815588, 'n': 1, 'trace_an': 1}
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id: 55230296
{'hecke_orbit_code': 45035996340815588, 'n': 2, 'trace_an': 0}
-
id: 55230297
{'hecke_orbit_code': 45035996340815588, 'n': 3, 'trace_an': 0}
-
id: 55230298
{'hecke_orbit_code': 45035996340815588, 'n': 4, 'trace_an': 0}
-
id: 55230299
{'hecke_orbit_code': 45035996340815588, 'n': 5, 'trace_an': 6}
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id: 55230300
{'hecke_orbit_code': 45035996340815588, 'n': 6, 'trace_an': 0}
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id: 55230301
{'hecke_orbit_code': 45035996340815588, 'n': 7, 'trace_an': 0}
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id: 55230302
{'hecke_orbit_code': 45035996340815588, 'n': 8, 'trace_an': 0}
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id: 55230303
{'hecke_orbit_code': 45035996340815588, 'n': 9, 'trace_an': 0}
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id: 55230304
{'hecke_orbit_code': 45035996340815588, 'n': 10, 'trace_an': 0}
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id: 55230305
{'hecke_orbit_code': 45035996340815588, 'n': 11, 'trace_an': 12}
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id: 55230306
{'hecke_orbit_code': 45035996340815588, 'n': 12, 'trace_an': 0}
-
id: 55230307
{'hecke_orbit_code': 45035996340815588, 'n': 13, 'trace_an': 82}
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id: 55230308
{'hecke_orbit_code': 45035996340815588, 'n': 14, 'trace_an': 0}
-
id: 55230309
{'hecke_orbit_code': 45035996340815588, 'n': 15, 'trace_an': 0}
-
id: 55230310
{'hecke_orbit_code': 45035996340815588, 'n': 16, 'trace_an': 0}
-
id: 55230311
{'hecke_orbit_code': 45035996340815588, 'n': 17, 'trace_an': -30}
-
id: 55230312
{'hecke_orbit_code': 45035996340815588, 'n': 18, 'trace_an': 0}
-
id: 55230313
{'hecke_orbit_code': 45035996340815588, 'n': 19, 'trace_an': -68}
-
id: 55230314
{'hecke_orbit_code': 45035996340815588, 'n': 20, 'trace_an': 0}
-
id: 55230315
{'hecke_orbit_code': 45035996340815588, 'n': 21, 'trace_an': 0}
-
id: 55230316
{'hecke_orbit_code': 45035996340815588, 'n': 22, 'trace_an': 0}
-
id: 55230317
{'hecke_orbit_code': 45035996340815588, 'n': 23, 'trace_an': -216}
-
id: 55230318
{'hecke_orbit_code': 45035996340815588, 'n': 24, 'trace_an': 0}
-
id: 55230319
{'hecke_orbit_code': 45035996340815588, 'n': 25, 'trace_an': -89}
-
id: 55230320
{'hecke_orbit_code': 45035996340815588, 'n': 26, 'trace_an': 0}
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