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mf_newforms • Show schema
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{'Nk2': 784, 'analytic_conductor': 2.89109359028129, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [49, 1, [3], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[2, [-2, 1]], [3, [-7, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798949220401, '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': False, 'label': '49.4.a.d', 'level': 49, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '7.4.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{2}+7q^{3}-4q^{4}+7q^{5}+14q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.4.a', 'trace_display': [2, 7, 7, 0], 'trace_hash': 96864814714341605, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.914', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.709', 'prec': 17}], 'trace_zratio': 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-30576, 24871, -20422, -7665, 33768], 'weight': 4, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [2], [7], [-4], [7], [14], [0], [-24], [22], [14], [-5], [-28], [-14], [0], [49], [-16], [-21], [44], [49], [-28], [0], [-10], [-159], [-168], [-76], [-28], [-35], [0], [58], [98], [147], [160], [-35], [-42], [0], [-88], [219], [98], [-98], [-168], [350], [0], [-124], [20], [154], [-318], [525], [-112], [0], [-152], [-147], [56], [303], [-70], [-35], [0], [343], [116], [-105], [-196], [-413], [294], [0], [448], [-98], [-70], [415], [84], [-1113], [0], [-432], [-528], [-1113], [438], [-532], [-196], [0], [-196], [-103], [-112], [-839], [700], [1092], [0], [-147], [-248], [406], [120], [-329], [308], [0], [636], [1029], [1050], [343], [1120], [-882], [0], [-110], [304]], 'ap': [[2], [7], [7], [0], [-5], [-14], [-21], [49], [-159], [58], [147], [219], [350], [-124], [525], [303], [-105], [-413], [415], [-432], [-1113], [-103], [1092], [-329], [-882], [1379], [-679], [457], [-1125], [-1538], [72], [2149], [-1125], [252], [-201], [1619], [679], [-467], [1204], [-2821], [-3253], [1582], [2557], [-397], [2914], [3339], [1780], [-1400], [-2205], [287], [4587], [1668], [-3409], [-4760], [-805], [-257], [3591], [1393], [415], [-4954], [-4277], [7742], [-7364], [9975], [-4753], [-3477], [3341], [7366], [7415], [-3878], [1267], [4685], [-4641], [-8797], [13680], [9765], [1731], [10983], [6603], [10955], [6636], [-16630], [4923], [8974], [-4179], [-12927], [-2826], [8479], [9338], [-4016], [-5859], [6503], [-16049], [8864], [-10211], [-1680], [-9457], [-18081], [20377], [-6193], [-18464], [-9413], [3199], [21583], [20267], [13951], [-20972], [-189], [-10281], [-6090], [4949], [-15797], [-9378], [-24353], [-12640], [-1041], [9548], [-3241], [-8853], [7044], [-12089], [982], [-30513], [11475], [-28315], [10614], [10299], [32529], [29456], [27867], [19539], [1248], [28093], [35954], [-861], [24710], [16499], [16471], [-36470], [35751], [-16492], [-41473], [-25065], [9732], [27755], [21112], [-21238], [-35609], [2177], [-32247], [27631], [24402], [-19612], [2261], [-23833], [31824], [-16819], [1799], [14154], [12047], [-24379], [-52330], [-12416], [36813], [34995], [-14301], [-2665], [24871]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798949220401, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '49.4.a.d', 'level': 49, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'AL_dims': [[[[7, -1]], 3, 3], [[[7, 1]], 5, 2]], 'ALdims': [5, 3], 'Nk2': 784, 'analytic_conductor': 2.89109359028129, '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': [49, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 10, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 5, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 67108913, 'hecke_orbit_dims': [1, 1, 1, 1, 4], 'label': '49.4.a', 'level': 49, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 18, 'mf_new_dim': 13, 'num_forms': 5, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 8, 'sturm_bound': 18, 'trace_bound': 3, 'trace_display': [0, 2, -16, 0], 'traces': [8, 0, 2, 36, -16, -2, 0, -12, 34, 16, 14, -14, -28, 0, 2, -76, -54, -124, 110, 112, 0, -12, 42, 30, -274, 28, -100, 0, 100, -324, -12, 44, -16, 54, 0, -524, 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-85848, 136696, 2944, 52150, 1932, 17344, 0, 94474, -87024, 17096, 88860, 24600, -1440], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 39969
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '7.4.c.a', 'target_level': 7, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 39970
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '49.4.a.c', 'target_level': 49, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 39971
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '49.4.a.d', 'target_level': 49, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 39972
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.4.c.a', 'target_level': 49, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 39973
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '63.4.e.b', 'target_level': 63, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 39974
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '112.4.i.c', 'target_level': 112, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 39975
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.4.e.a', 'target_level': 175, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 39976
{'conductor': 35, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.4.k.a', 'target_level': 175, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 39977
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.4.a.d', 'target_level': 441, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 39978
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '441.4.a.e', 'target_level': 441, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 39979
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '441.4.e.k', 'target_level': 441, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 39980
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.4.i.a', 'target_level': 448, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 39981
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '448.4.i.f', 'target_level': 448, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 39982
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.4.a.b', 'target_level': 784, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 39983
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '784.4.a.r', 'target_level': 784, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 39984
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1225.4.a.c', 'target_level': 1225, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 39985
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '49.4.a.d', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1225.4.a.d', 'target_level': 1225, 'twist_class_label': '7.4.c.a', 'twist_class_level': 7, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 163650
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 2}
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id: 163651
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 3}
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id: 163652
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 5}
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id: 163653
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 7}
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id: 163654
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 11}
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id: 163655
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 13}
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id: 163656
{'charpoly_factorization': [[[21, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 17}
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id: 163657
{'charpoly_factorization': [[[-49, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 19}
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id: 163658
{'charpoly_factorization': [[[159, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 23}
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id: 163659
{'charpoly_factorization': [[[-58, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 29}
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id: 163660
{'charpoly_factorization': [[[-147, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 31}
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id: 163661
{'charpoly_factorization': [[[-219, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 37}
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id: 163662
{'charpoly_factorization': [[[-350, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 41}
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id: 163663
{'charpoly_factorization': [[[124, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 43}
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id: 163664
{'charpoly_factorization': [[[-525, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 47}
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id: 163665
{'charpoly_factorization': [[[-303, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 53}
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id: 163666
{'charpoly_factorization': [[[105, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 59}
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id: 163667
{'charpoly_factorization': [[[413, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 61}
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id: 163668
{'charpoly_factorization': [[[-415, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 67}
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id: 163669
{'charpoly_factorization': [[[432, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 71}
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id: 163670
{'charpoly_factorization': [[[1113, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 73}
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id: 163671
{'charpoly_factorization': [[[103, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 79}
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id: 163672
{'charpoly_factorization': [[[-1092, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 83}
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id: 163673
{'charpoly_factorization': [[[329, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 89}
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id: 163674
{'charpoly_factorization': [[[882, 1], 1]], 'hecke_orbit_code': 13510798949220401, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '49.4.a.d', 'level': 49, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 134081000
{'hecke_orbit_code': 13510798949220401, 'n': 1, 'trace_an': 1}
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id: 134081001
{'hecke_orbit_code': 13510798949220401, 'n': 2, 'trace_an': 2}
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id: 134081002
{'hecke_orbit_code': 13510798949220401, 'n': 3, 'trace_an': 7}
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id: 134081003
{'hecke_orbit_code': 13510798949220401, 'n': 4, 'trace_an': -4}
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id: 134081004
{'hecke_orbit_code': 13510798949220401, 'n': 5, 'trace_an': 7}
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id: 134081005
{'hecke_orbit_code': 13510798949220401, 'n': 6, 'trace_an': 14}
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id: 134081006
{'hecke_orbit_code': 13510798949220401, 'n': 7, 'trace_an': 0}
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id: 134081007
{'hecke_orbit_code': 13510798949220401, 'n': 8, 'trace_an': -24}
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id: 134081008
{'hecke_orbit_code': 13510798949220401, 'n': 9, 'trace_an': 22}
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id: 134081009
{'hecke_orbit_code': 13510798949220401, 'n': 10, 'trace_an': 14}
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id: 134081010
{'hecke_orbit_code': 13510798949220401, 'n': 11, 'trace_an': -5}
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id: 134081011
{'hecke_orbit_code': 13510798949220401, 'n': 12, 'trace_an': -28}
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id: 134081012
{'hecke_orbit_code': 13510798949220401, 'n': 13, 'trace_an': -14}
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id: 134081013
{'hecke_orbit_code': 13510798949220401, 'n': 14, 'trace_an': 0}
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id: 134081014
{'hecke_orbit_code': 13510798949220401, 'n': 15, 'trace_an': 49}
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id: 134081015
{'hecke_orbit_code': 13510798949220401, 'n': 16, 'trace_an': -16}
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id: 134081016
{'hecke_orbit_code': 13510798949220401, 'n': 17, 'trace_an': -21}
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id: 134081017
{'hecke_orbit_code': 13510798949220401, 'n': 18, 'trace_an': 44}
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id: 134081018
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{'hecke_orbit_code': 13510798949220401, 'n': 982, 'trace_an': 17728}
-
id: 134081982
{'hecke_orbit_code': 13510798949220401, 'n': 983, 'trace_an': -14301}
-
id: 134081983
{'hecke_orbit_code': 13510798949220401, 'n': 984, 'trace_an': -58800}
-
id: 134081984
{'hecke_orbit_code': 13510798949220401, 'n': 985, 'trace_an': 20398}
-
id: 134081985
{'hecke_orbit_code': 13510798949220401, 'n': 986, 'trace_an': -2436}
-
id: 134081986
{'hecke_orbit_code': 13510798949220401, 'n': 987, 'trace_an': 0}
-
id: 134081987
{'hecke_orbit_code': 13510798949220401, 'n': 988, 'trace_an': 2744}
-
id: 134081988
{'hecke_orbit_code': 13510798949220401, 'n': 989, 'trace_an': 19716}
-
id: 134081989
{'hecke_orbit_code': 13510798949220401, 'n': 990, 'trace_an': -1540}
-
id: 134081990
{'hecke_orbit_code': 13510798949220401, 'n': 991, 'trace_an': -2665}
-
id: 134081991
{'hecke_orbit_code': 13510798949220401, 'n': 992, 'trace_an': 23520}
-
id: 134081992
{'hecke_orbit_code': 13510798949220401, 'n': 993, 'trace_an': 23387}
-
id: 134081993
{'hecke_orbit_code': 13510798949220401, 'n': 994, 'trace_an': 0}
-
id: 134081994
{'hecke_orbit_code': 13510798949220401, 'n': 995, 'trace_an': 23373}
-
id: 134081995
{'hecke_orbit_code': 13510798949220401, 'n': 996, 'trace_an': -30576}
-
id: 134081996
{'hecke_orbit_code': 13510798949220401, 'n': 997, 'trace_an': 24871}
-
id: 134081997
{'hecke_orbit_code': 13510798949220401, 'n': 998, 'trace_an': -20422}
-
id: 134081998
{'hecke_orbit_code': 13510798949220401, 'n': 999, 'trace_an': -7665}
-
id: 134081999
{'hecke_orbit_code': 13510798949220401, 'n': 1000, 'trace_an': 33768}