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mf_newforms • Show schema
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{'Nk2': 9900, 'analytic_conductor': 19.762974500266896, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [2475, 2, [551, 2377, 2026], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 199, 'conrey_indexes': [199], 'dim': 6, 'field_disc': -350464, 'field_disc_factorization': [[-1, 1], [2, 8], [37, 2]], 'field_poly': [2, -4, 4, 2, 2, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 27, 0, 11, 0, 1]], [7, [256, 0, 256, 0, 32, 0, 1]], [29, [-40, 12, 10, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561331137808811, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 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mf_hecke_cc • Show schema
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'hecke_orbit': 18, 'hecke_orbit_code': 76561331137808811, 'label': '2475.2.c.r.199.3', 'level': 2475, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 9900, 'analytic_conductor': 19.762974500266896, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [2475, 2, [551, 2377, 2026], [2, 1, 2]], 'conrey_index': 199, 'cusp_dim': 336, 'dim': 76, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 29], 'hecke_orbit_code': 137472510379, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8], 'label': '2475.2.c', 'level': 2475, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 384, 'mf_new_dim': 76, 'num_forms': 20, 'prim_orbit_index': 2, 'relative_dim': 76, 'sturm_bound': 720, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [76, 0, 0, -86, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 98, 0, 0, -12, 0, 0, 0, 0, 0, 0, -8, 0, 0, -40, 0, 22, 0, 0, 28, 0, 0, 0, 0, 0, 0, 40, 0, 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'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48146803
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 76561331137808811, 'target_is_minimal': False, 'target_label': '2475.2.c.r.199.3', 'target_level': 2475, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48146804
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021735236731705, 'target_is_minimal': False, 'target_label': '825.2.c.g.199.4', 'target_level': 825, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48146805
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036911, 'target_is_minimal': False, 'target_label': '495.2.a.e.1.2', 'target_level': 495, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48146806
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972560299, 'target_is_minimal': False, 'target_label': '2475.2.a.bb.1.2', 'target_level': 2475, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48146807
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 76561331137808811, 'target_is_minimal': False, 'target_label': '2475.2.c.r.199.4', 'target_level': 2475, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48146808
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199288295589, 'target_is_minimal': True, 'target_label': '165.2.a.c.1.2', 'target_level': 165, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48146809
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307260217, 'target_is_minimal': False, 'target_label': '825.2.a.k.1.2', 'target_level': 825, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48146810
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021735236731705, 'target_is_minimal': False, 'target_label': '825.2.c.g.199.3', 'target_level': 825, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48146811
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274719577303162608, 'target_is_minimal': False, 'target_label': '7920.2.a.cj.1.1', 'target_level': 7920, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48146812
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717822277, 'target_is_minimal': False, 'target_label': '5445.2.a.z.1.2', 'target_level': 5445, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '55.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 48146813
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854671952, 'target_is_minimal': False, 'target_label': '2640.2.a.be.1.1', 'target_level': 2640, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48146814
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618900373, 'target_is_minimal': False, 'target_label': '8085.2.a.bk.1.2', 'target_level': 8085, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 48146815
{'conductor': 165, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562002199, 'target_is_minimal': False, 'target_label': '1815.2.a.m.1.2', 'target_level': 1815, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '165.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 48146816
{'conductor': 165, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561331137808811, 'source_is_minimal': False, 'source_label': '2475.2.c.r.199.3', 'source_level': 2475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 256705178793681779, 'target_is_minimal': False, 'target_label': '9075.2.a.cf.1.2', 'target_level': 9075, 'twist_class_label': '165.2.a.c.1.2', 'twist_class_level': 165, 'twisting_char_label': '165.98', 'twisting_conrey_index': 98, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2679525
{'charpoly_factorization': [[[1, 0, 27, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 2}
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id: 2679526
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 76561331137808811, 'p': 3}
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id: 2679527
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 76561331137808811, 'p': 5}
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id: 2679528
{'charpoly_factorization': [[[256, 0, 256, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 7}
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id: 2679529
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 76561331137808811, 'p': 11}
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id: 2679530
{'charpoly_factorization': [[[64, 0, 176, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 13}
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id: 2679531
{'charpoly_factorization': [[[33856, 0, 3440, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 17}
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id: 2679532
{'charpoly_factorization': [[[-160, -16, 8, 1], 2]], 'hecke_orbit_code': 76561331137808811, 'p': 19}
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id: 2679533
{'charpoly_factorization': [[[16384, 0, 4096, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 23}
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id: 2679534
{'charpoly_factorization': [[[-40, 12, 10, 1], 2]], 'hecke_orbit_code': 76561331137808811, 'p': 29}
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id: 2679535
{'charpoly_factorization': [[[128, -32, -8, 1], 2]], 'hecke_orbit_code': 76561331137808811, 'p': 31}
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id: 2679536
{'charpoly_factorization': [[[4, 0, 1], 3]], 'hecke_orbit_code': 76561331137808811, 'p': 37}
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id: 2679537
{'charpoly_factorization': [[[-8, 44, -14, 1], 2]], 'hecke_orbit_code': 76561331137808811, 'p': 41}
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id: 2679538
{'charpoly_factorization': [[[160000, 0, 9600, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 43}
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id: 2679539
{'charpoly_factorization': [[[16384, 0, 3072, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 47}
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id: 2679540
{'charpoly_factorization': [[[64, 0, 2608, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 53}
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id: 2679541
{'charpoly_factorization': [[[320, -16, -12, 1], 2]], 'hecke_orbit_code': 76561331137808811, 'p': 59}
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id: 2679542
{'charpoly_factorization': [[[-248, -52, 6, 1], 2]], 'hecke_orbit_code': 76561331137808811, 'p': 61}
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id: 2679543
{'charpoly_factorization': [[[4096, 0, 2816, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 67}
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id: 2679544
{'charpoly_factorization': [[[-128, -32, 8, 1], 2]], 'hecke_orbit_code': 76561331137808811, 'p': 71}
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id: 2679545
{'charpoly_factorization': [[[118336, 0, 9648, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 73}
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id: 2679546
{'charpoly_factorization': [[[-800, -64, 12, 1], 2]], 'hecke_orbit_code': 76561331137808811, 'p': 79}
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id: 2679547
{'charpoly_factorization': [[[256, 0, 14400, 0, 240, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 83}
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id: 2679548
{'charpoly_factorization': [[[-200, -52, 10, 1], 2]], 'hecke_orbit_code': 76561331137808811, 'p': 89}
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id: 2679549
{'charpoly_factorization': [[[64, 0, 11312, 0, 268, 0, 1], 1]], 'hecke_orbit_code': 76561331137808811, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 18, 'label': '2475.2.c.r', 'level': 2475, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 243439000
{'hecke_orbit_code': 76561331137808811, 'n': 1, 'trace_an': 6}
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id: 243439001
{'hecke_orbit_code': 76561331137808811, 'n': 2, 'trace_an': 0}
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id: 243439002
{'hecke_orbit_code': 76561331137808811, 'n': 3, 'trace_an': 0}
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id: 243439003
{'hecke_orbit_code': 76561331137808811, 'n': 4, 'trace_an': -10}
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id: 243439004
{'hecke_orbit_code': 76561331137808811, 'n': 5, 'trace_an': 0}
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id: 243439005
{'hecke_orbit_code': 76561331137808811, 'n': 6, 'trace_an': 0}
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id: 243439006
{'hecke_orbit_code': 76561331137808811, 'n': 7, 'trace_an': 0}
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