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mf_newforms • Show schema
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{'Nk2': 3332, 'analytic_conductor': 6.651538488372656, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': 1, 'char_values': [833, 4, [52, 785], [4, 3]], 'cm_discs': [], 'conrey_index': 344, 'dim': 16, 'field_disc': 7406543227497253346322939904, 'field_disc_factorization': [[2, 32], [11, 4], [17, 6], [47, 4]], 'field_poly': [289, 0, 0, 0, 910, 0, 0, 0, 563, 0, 0, 0, 62, 0, 0, 0, 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, [49, 0, 127, 0, 73, 0, 15, 0, 1]], [3, [289, 0, 0, 0, 910, 0, 0, 0, 563, 0, 0, 0, 62, 0, 0, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014810859897665, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3332, 'analytic_conductor': 6.651538488372656, 'char_conductor': 17, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': 1, 'char_values': [833, 4, [52, 785], [4, 3]], 'conrey_index': 344, 'cusp_dim': 152, 'dim': 112, 'eis_dim': 32, 'eis_new_dim': 20, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 412350415681, 'hecke_orbit_dims': [2, 2, 4, 4, 16, 16, 16, 20, 32], 'label': '833.2.g', 'level': 833, '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': [7, 17], 'level_radical': 119, 'mf_dim': 184, 'mf_new_dim': 132, 'num_forms': 9, 'prim_orbit_index': 3, 'relative_dim': 56, 'sturm_bound': 168, 'trace_bound': 5, 'trace_display': [0, 4, 8, 0], 'traces': [112, 0, 4, -96, 8, -4, 0, 0, 0, -4, 0, -12, 0, 0, 0, 80, 12, 56, 0, -20, 0, 0, 0, -4, 0, 0, -8, 0, -32, 16, -4, 0, 16, -36, 0, 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0, -324, -544, -84, 0, 168, 236, 0, 0, -416, -368, 308, 44, 16, 0, 0, 212, -120, -460, 120, 128], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44353509
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 344, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014810859897665, 'target_is_minimal': True, 'target_label': '833.2.g.e.344.5', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44353510
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 361, 'target_dim': 32, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18015360615711553, 'target_is_minimal': False, 'target_label': '833.2.o.e.361.5', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44353511
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 667, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015360615711553, 'target_is_minimal': False, 'target_label': '833.2.o.e.667.3', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44353512
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 667, 'target_dim': 32, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015360615711553, 'target_is_minimal': False, 'target_label': '833.2.o.e.667.4', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44353513
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 361, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18015360615711553, 'target_is_minimal': False, 'target_label': '833.2.o.e.361.6', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44353514
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 344, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014810859897665, 'target_is_minimal': True, 'target_label': '833.2.g.e.344.6', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 44353515
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 540, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014810859897665, 'target_is_minimal': True, 'target_label': '833.2.g.e.540.3', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44353516
{'conductor': 119, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 540, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014810859897665, 'target_is_minimal': True, 'target_label': '833.2.g.e.540.4', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '119.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44353517
{'conductor': 119, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 557, 'target_dim': 32, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015360615711553, 'target_is_minimal': False, 'target_label': '833.2.o.e.557.4', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '119.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 44353518
{'conductor': 119, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 557, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015360615711553, 'target_is_minimal': False, 'target_label': '833.2.o.e.557.3', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '119.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 44353519
{'conductor': 119, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 30, 'target_dim': 32, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18015360615711553, 'target_is_minimal': False, 'target_label': '833.2.o.e.30.5', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '119.81', 'twisting_conrey_index': 81, 'weight': 2}
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id: 44353520
{'conductor': 119, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014810859897665, 'source_is_minimal': True, 'source_label': '833.2.g.e.344.5', 'source_level': 833, 'target_conrey_index': 30, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18015360615711553, 'target_is_minimal': False, 'target_label': '833.2.o.e.30.6', 'target_level': 833, 'twist_class_label': '833.2.g.e.344.5', 'twist_class_level': 833, 'twisting_char_label': '119.115', 'twisting_conrey_index': 115, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1388550
{'charpoly_factorization': [[[49, 0, 127, 0, 73, 0, 15, 0, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 2}
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id: 1388551
{'charpoly_factorization': [[[289, 0, 0, 0, 910, 0, 0, 0, 563, 0, 0, 0, 62, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18014810859897665, 'p': 3}
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id: 1388552
{'charpoly_factorization': [[[180625, 0, 0, 0, 387126, 0, 0, 0, 21403, 0, 0, 0, 278, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18014810859897665, 'p': 5}
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id: 1388553
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 18014810859897665, 'p': 7}
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id: 1388554
{'charpoly_factorization': [[[15376, 22320, 16200, 5424, 924, 24, 18, 6, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 11}
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id: 1388555
{'charpoly_factorization': [[[13328, 0, -23888, 0, 2744, 0, -94, 0, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 13}
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id: 1388556
{'charpoly_factorization': [[[6975757441, 0, -772402208, 0, 91204932, 0, -5927968, 0, 442374, 0, -20512, 0, 1092, 0, -32, 0, 1], 1]], 'hecke_orbit_code': 18014810859897665, 'p': 17}
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id: 1388557
{'charpoly_factorization': [[[32912, 0, 47960, 0, 4648, 0, 124, 0, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 19}
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id: 1388558
{'charpoly_factorization': [[[4624, 3536, 1352, -2352, 1464, -212, 8, 4, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 23}
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id: 1388559
{'charpoly_factorization': [[[16, 240, 1800, -816, 188, 24, 18, -6, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 29}
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id: 1388560
{'charpoly_factorization': [[[224783136769, 0, 0, 0, 4593005870, 0, 0, 0, 13326883, 0, 0, 0, 9822, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18014810859897665, 'p': 31}
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id: 1388561
{'charpoly_factorization': [[[13456, 16240, 9800, 1296, -216, -76, 128, -16, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 37}
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id: 1388562
{'charpoly_factorization': [[[70556640625, 0, 0, 0, 2585009366, 0, 0, 0, 6696779, 0, 0, 0, 4726, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18014810859897665, 'p': 41}
-
id: 1388563
{'charpoly_factorization': [[[2401, 0, 2466, 0, 607, 0, 50, 0, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 43}
-
id: 1388564
{'charpoly_factorization': [[[13328, 0, -8544, 0, 1728, 0, -118, 0, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 47}
-
id: 1388565
{'charpoly_factorization': [[[17689, 0, 17410, 0, 4447, 0, 138, 0, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 53}
-
id: 1388566
{'charpoly_factorization': [[[79609232, 0, 3881632, 0, 64356, 0, 432, 0, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 59}
-
id: 1388567
{'charpoly_factorization': [[[4001448049, 0, 0, 0, 1948769094, 0, 0, 0, 7747867, 0, 0, 0, 7334, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18014810859897665, 'p': 61}
-
id: 1388568
{'charpoly_factorization': [[[139, 394, 175, 24, 1], 4]], 'hecke_orbit_code': 18014810859897665, 'p': 67}
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id: 1388569
{'charpoly_factorization': [[[559504, 756976, 512072, 166848, 25832, -860, 72, 12, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 71}
-
id: 1388570
{'charpoly_factorization': [[[1145528497761649, 0, 0, 0, 820327179150, 0, 0, 0, 213756403, 0, 0, 0, 24142, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18014810859897665, 'p': 73}
-
id: 1388571
{'charpoly_factorization': [[[4857616, 2204000, 500000, 55672, 4664, 712, 162, 18, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 79}
-
id: 1388572
{'charpoly_factorization': [[[45968, 0, 17328, 0, 2232, 0, 106, 0, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 83}
-
id: 1388573
{'charpoly_factorization': [[[3851792, 0, -763368, 0, 39980, 0, -390, 0, 1], 2]], 'hecke_orbit_code': 18014810859897665, 'p': 89}
-
id: 1388574
{'charpoly_factorization': [[[2992682023969, 0, 0, 0, 152677860742, 0, 0, 0, 958111243, 0, 0, 0, 64950, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18014810859897665, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 5, 'label': '833.2.g.e', 'level': 833, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 41050357
{'hecke_orbit_code': 18014810859897665, 'n': 1, 'trace_an': 16}
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id: 41050358
{'hecke_orbit_code': 18014810859897665, 'n': 2, 'trace_an': 0}
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id: 41050359
{'hecke_orbit_code': 18014810859897665, 'n': 3, 'trace_an': 0}
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id: 41050360
{'hecke_orbit_code': 18014810859897665, 'n': 4, 'trace_an': -28}
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id: 41050361
{'hecke_orbit_code': 18014810859897665, 'n': 5, 'trace_an': 0}
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id: 41050362
{'hecke_orbit_code': 18014810859897665, 'n': 6, 'trace_an': 0}
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id: 41050363
{'hecke_orbit_code': 18014810859897665, 'n': 7, 'trace_an': 0}
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id: 41050364
{'hecke_orbit_code': 18014810859897665, 'n': 8, 'trace_an': 0}
-
id: 41050365
{'hecke_orbit_code': 18014810859897665, 'n': 9, 'trace_an': 0}
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id: 41050366
{'hecke_orbit_code': 18014810859897665, 'n': 10, 'trace_an': 0}
-
id: 41050367
{'hecke_orbit_code': 18014810859897665, 'n': 11, 'trace_an': -12}
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id: 41050368
{'hecke_orbit_code': 18014810859897665, 'n': 12, 'trace_an': 0}
-
id: 41050369
{'hecke_orbit_code': 18014810859897665, 'n': 13, 'trace_an': 0}
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id: 41050370
{'hecke_orbit_code': 18014810859897665, 'n': 14, 'trace_an': 0}
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id: 41050371
{'hecke_orbit_code': 18014810859897665, 'n': 15, 'trace_an': 0}
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id: 41050372
{'hecke_orbit_code': 18014810859897665, 'n': 16, 'trace_an': 20}
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id: 41050373
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