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mf_newforms • Show schema
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{'Nk2': 12800, 'analytic_conductor': 62.47700509682435, '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': [200, 2, [151, 101, 177], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 49, 'dim': 4, 'field_disc': 135424, 'field_disc_factorization': [[2, 8], [23, 2]], 'field_poly': [529, 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': [[3, [8643600, 0, 5896, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525334964764872, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 512, 'hecke_ring_index_factorization': [[2, 9]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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'dual_conrey_index': 49, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -3.391164991562634, 'embedding_root_real': 3.391164991562634, 'hecke_orbit': 8, 'hecke_orbit_code': 31525334964764872, 'label': '200.8.c.h.49.1', 'level': 200, 'weight': 8}
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mf_newspaces • Show schema
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{'Nk2': 12800, 'analytic_conductor': 62.47700509682435, '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': [200, 2, [151, 101, 177], [2, 2, 1]], 'conrey_index': 49, 'cusp_dim': 198, 'dim': 32, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137573171400, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 4, 6], 'label': '200.8.c', 'level': 200, 'level_is_powerful': True, '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, 5], 'level_radical': 10, 'mf_dim': 222, 'mf_new_dim': 32, 'num_forms': 10, 'prim_orbit_index': 2, 'relative_dim': 32, 'sturm_bound': 240, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 0, 0, 0, 0, 0, -23278, 0, -4958, 0, 0, 0, 0, 0, 0, 0, 62542, 0, 9148, 0, 0, 0, 0, 0, 0, 0, 71684, 0, -60380, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 46246259
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334964764872, 'target_is_minimal': False, 'target_label': '200.8.c.h.49.1', 'target_level': 200, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 46246260
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057731611099536, 'target_is_minimal': False, 'target_label': '400.8.c.q.49.4', 'target_level': 400, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 46246261
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195662663880, 'target_is_minimal': False, 'target_label': '200.8.a.m.1.1', 'target_level': 200, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 46246262
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599761588264, 'target_is_minimal': True, 'target_label': '40.8.a.b.1.2', 'target_level': 40, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 46246263
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525334964764872, 'target_is_minimal': False, 'target_label': '200.8.c.h.49.4', 'target_level': 200, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 46246264
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539596035293544, 'target_is_minimal': False, 'target_label': '360.8.a.l.1.2', 'target_level': 360, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 8}
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id: 46246265
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197525811280, 'target_is_minimal': False, 'target_label': '80.8.a.h.1.1', 'target_level': 80, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 46246266
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990818480528, 'target_is_minimal': False, 'target_label': '400.8.a.z.1.2', 'target_level': 400, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 8}
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id: 46246267
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057731611099536, 'target_is_minimal': False, 'target_label': '400.8.c.q.49.1', 'target_level': 400, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 8}
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id: 46246268
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594172145984, 'target_is_minimal': False, 'target_label': '320.8.a.q.1.2', 'target_level': 320, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 46246269
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525334964764872, 'source_is_minimal': False, 'source_label': '200.8.c.h.49.1', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394917404992, 'target_is_minimal': False, 'target_label': '320.8.a.o.1.1', 'target_level': 320, 'twist_class_label': '40.8.a.b.1.2', 'twist_class_level': 40, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 502475
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525334964764872, 'p': 2}
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id: 502476
{'charpoly_factorization': [[[8643600, 0, 5896, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 3}
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id: 502477
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525334964764872, 'p': 5}
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id: 502478
{'charpoly_factorization': [[[452568343824, 0, 2057800, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 7}
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id: 502479
{'charpoly_factorization': [[[1131264, -4640, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 11}
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id: 502480
{'charpoly_factorization': [[[1577889081913104, 0, 125739720, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 13}
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id: 502481
{'charpoly_factorization': [[[17800709612490000, 0, 1216643656, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 17}
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id: 502482
{'charpoly_factorization': [[[29646224, 39720, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 19}
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id: 502483
{'charpoly_factorization': [[[600820830559774224, 0, 3688760200, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 23}
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id: 502484
{'charpoly_factorization': [[[-4295905404, 186940, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 29}
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id: 502485
{'charpoly_factorization': [[[11743009680, 327128, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 31}
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id: 502486
{'charpoly_factorization': [[[55928759675825123943696, 0, 477482285128, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 37}
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id: 502487
{'charpoly_factorization': [[[-1010797212, 162964, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 41}
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id: 502488
{'charpoly_factorization': [[[38582393170588924567824, 0, 869332319560, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 43}
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id: 502489
{'charpoly_factorization': [[[22699180373932101795856, 0, 302646504968, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 47}
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id: 502490
{'charpoly_factorization': [[[4435859207828357332175376, 0, 4233079168648, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 53}
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id: 502491
{'charpoly_factorization': [[[-5676215308272, 1120776, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 59}
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id: 502492
{'charpoly_factorization': [[[-2532614905500, 1855852, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 61}
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id: 502493
{'charpoly_factorization': [[[94412605392952662183118864, 0, 19500326756360, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 67}
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id: 502494
{'charpoly_factorization': [[[285545583120, 1071112, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 71}
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id: 502495
{'charpoly_factorization': [[[8360729880025163829529104, 0, 6237408751240, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 73}
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id: 502496
{'charpoly_factorization': [[[-12100786389440, 4340144, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 79}
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id: 502497
{'charpoly_factorization': [[[795666616065981247042604304, 0, 63721642917960, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 83}
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id: 502498
{'charpoly_factorization': [[[-12795653008796, 42260, 1], 2]], 'hecke_orbit_code': 31525334964764872, 'p': 89}
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id: 502499
{'charpoly_factorization': [[[1947379033428315323758156816, 0, 171429060499208, 0, 1], 1]], 'hecke_orbit_code': 31525334964764872, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 8, 'label': '200.8.c.h', 'level': 200, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
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id: 49828033
{'hecke_orbit_code': 31525334964764872, 'n': 1, 'trace_an': 4}
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id: 49828034
{'hecke_orbit_code': 31525334964764872, 'n': 2, 'trace_an': 0}
-
id: 49828035
{'hecke_orbit_code': 31525334964764872, 'n': 3, 'trace_an': 0}
-
id: 49828036
{'hecke_orbit_code': 31525334964764872, 'n': 4, 'trace_an': 0}
-
id: 49828037
{'hecke_orbit_code': 31525334964764872, 'n': 5, 'trace_an': 0}
-
id: 49828038
{'hecke_orbit_code': 31525334964764872, 'n': 6, 'trace_an': 0}
-
id: 49828039
{'hecke_orbit_code': 31525334964764872, 'n': 7, 'trace_an': 0}
-
id: 49828040
{'hecke_orbit_code': 31525334964764872, 'n': 8, 'trace_an': 0}
-
id: 49828041
{'hecke_orbit_code': 31525334964764872, 'n': 9, 'trace_an': -3044}
-
id: 49828042
{'hecke_orbit_code': 31525334964764872, 'n': 10, 'trace_an': 0}
-
id: 49828043
{'hecke_orbit_code': 31525334964764872, 'n': 11, 'trace_an': 9280}
-
id: 49828044
{'hecke_orbit_code': 31525334964764872, 'n': 12, 'trace_an': 0}
-
id: 49828045
{'hecke_orbit_code': 31525334964764872, 'n': 13, 'trace_an': 0}
-
id: 49828046
{'hecke_orbit_code': 31525334964764872, 'n': 14, 'trace_an': 0}
-
id: 49828047
{'hecke_orbit_code': 31525334964764872, 'n': 15, 'trace_an': 0}
-
id: 49828048
{'hecke_orbit_code': 31525334964764872, 'n': 16, 'trace_an': 0}
-
id: 49828049
{'hecke_orbit_code': 31525334964764872, 'n': 17, 'trace_an': 0}
-
id: 49828050
{'hecke_orbit_code': 31525334964764872, 'n': 18, 'trace_an': 0}
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