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mf_newforms • Show schema
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{'Nk2': 5544, 'analytic_conductor': 11.06726572014946, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 33, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1386, 2, [155, 199, 1135], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 197, 'conrey_indexes': [197], 'dim': 12, 'field_disc': 6179600019226624, 'field_disc_factorization': [[2, 30], [2399, 2]], 'field_poly': [729, 0, 324, -216, 153, -48, 88, -16, 17, -8, 4, 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': [[17, [-376, -136, 306, 136, -20, -8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099879786, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 288, 'hecke_ring_index_factorization': [[2, 5], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 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mf_hecke_cc • Show schema
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-0.4145007391288769, 0.11221566149245149, -0.1499418909292786, -0.36717562785615776], 'char_orbit_index': 3, 'conrey_index': 197, 'dual_conrey_index': 197, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 10, 'embedding_m': 10, 'embedding_root_imag': 1.7316257189475752, 'embedding_root_real': -0.0383714669942767, 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099879786, 'label': '1386.2.c.b.197.10', 'level': 1386, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5544, 'analytic_conductor': 11.06726572014946, 'char_conductor': 33, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1386, 2, [155, 199, 1135], [1, 2, 1]], 'conrey_index': 197, 'cusp_dim': 272, 'dim': 24, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [17], 'hecke_orbit_code': 137472509290, 'hecke_orbit_dims': [12, 12], 'label': '1386.2.c', 'level': 1386, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 304, 'mf_new_dim': 24, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 24, 'sturm_bound': 576, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -16, 0, 0, 32, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 34744458
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 4503737099879786, 'source_is_minimal': True, 'source_label': '1386.2.c.b.197.10', 'source_level': 1386, 'target_conrey_index': 197, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 4503737099879786, 'target_is_minimal': True, 'target_label': '1386.2.c.b.197.10', 'target_level': 1386, 'twist_class_label': '1386.2.c.a.197.3', 'twist_class_level': 1386, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 34744459
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 4503737099879786, 'source_is_minimal': True, 'source_label': '1386.2.c.b.197.10', 'source_level': 1386, 'target_conrey_index': 197, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 137472509290, 'target_is_minimal': True, 'target_label': '1386.2.c.a.197.3', 'target_level': 1386, 'twist_class_label': '1386.2.c.a.197.3', 'twist_class_level': 1386, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34744460
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 4503737099879786, 'source_is_minimal': True, 'source_label': '1386.2.c.b.197.10', 'source_level': 1386, 'target_conrey_index': 197, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 137472509290, 'target_is_minimal': True, 'target_label': '1386.2.c.a.197.10', 'target_level': 1386, 'twist_class_label': '1386.2.c.a.197.3', 'twist_class_level': 1386, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 34744461
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 4503737099879786, 'source_is_minimal': True, 'source_label': '1386.2.c.b.197.10', 'source_level': 1386, 'target_conrey_index': 197, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503737099879786, 'target_is_minimal': True, 'target_label': '1386.2.c.b.197.3', 'target_level': 1386, 'twist_class_label': '1386.2.c.a.197.3', 'twist_class_level': 1386, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1910850
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 4503737099879786, 'p': 2}
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id: 1910851
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4503737099879786, 'p': 3}
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id: 1910852
{'charpoly_factorization': [[[256, 0, 1600, 0, 2628, 0, 1600, 0, 356, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 5}
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id: 1910853
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 4503737099879786, 'p': 7}
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id: 1910854
{'charpoly_factorization': [[[1771561, 644204, 87846, 37268, -6897, -5192, -556, -472, -57, 28, 6, 4, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 11}
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id: 1910855
{'charpoly_factorization': [[[1024, 0, 51200, 0, 63872, 0, 19776, 0, 2212, 0, 84, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 13}
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id: 1910856
{'charpoly_factorization': [[[-376, -136, 306, 136, -20, -8, 1], 2]], 'hecke_orbit_code': 4503737099879786, 'p': 17}
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id: 1910857
{'charpoly_factorization': [[[16, 0, 528, 0, 1876, 0, 2160, 0, 872, 0, 68, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 19}
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id: 1910858
{'charpoly_factorization': [[[79709184, 0, 31684608, 0, 4680064, 0, 325696, 0, 11236, 0, 180, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 23}
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id: 1910859
{'charpoly_factorization': [[[-512, -2816, 708, 624, -84, -8, 1], 2]], 'hecke_orbit_code': 4503737099879786, 'p': 29}
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id: 1910860
{'charpoly_factorization': [[[3656, -4296, 1106, 176, -76, 0, 1], 2]], 'hecke_orbit_code': 4503737099879786, 'p': 31}
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id: 1910861
{'charpoly_factorization': [[[10688, -6976, -304, 608, -36, -12, 1], 2]], 'hecke_orbit_code': 4503737099879786, 'p': 37}
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id: 1910862
{'charpoly_factorization': [[[-56, -552, -894, 624, -76, -8, 1], 2]], 'hecke_orbit_code': 4503737099879786, 'p': 41}
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id: 1910863
{'charpoly_factorization': [[[541696, 0, 2596864, 0, 2974080, 0, 358336, 0, 14564, 0, 212, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 43}
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id: 1910864
{'charpoly_factorization': [[[7322567184, 0, 1265350032, 0, 84078868, 0, 2732144, 0, 45256, 0, 356, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 47}
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id: 1910865
{'charpoly_factorization': [[[1048576, 0, 109248512, 0, 24544256, 0, 1709056, 0, 40128, 0, 352, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 53}
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id: 1910866
{'charpoly_factorization': [[[339738624, 0, 191102976, 0, 32837632, 0, 1861632, 0, 41344, 0, 352, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 59}
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id: 1910867
{'charpoly_factorization': [[[183223296, 0, 67295232, 0, 8829568, 0, 540096, 0, 16036, 0, 212, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 61}
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id: 1910868
{'charpoly_factorization': [[[-42752, -41792, -12860, -1136, 116, 24, 1], 2]], 'hecke_orbit_code': 4503737099879786, 'p': 67}
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id: 1910869
{'charpoly_factorization': [[[16516096, 0, 37480448, 0, 7635584, 0, 566464, 0, 18276, 0, 244, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 71}
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id: 1910870
{'charpoly_factorization': [[[14868736, 0, 522608192, 0, 120308036, 0, 5620768, 0, 84324, 0, 496, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 73}
-
id: 1910871
{'charpoly_factorization': [[[14992384, 0, 15890688, 0, 5790480, 0, 838368, 0, 42776, 0, 424, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 79}
-
id: 1910872
{'charpoly_factorization': [[[94856, -45240, -750, 2584, -260, -8, 1], 2]], 'hecke_orbit_code': 4503737099879786, 'p': 83}
-
id: 1910873
{'charpoly_factorization': [[[133476238336, 0, 32154304512, 0, 1540955776, 0, 28416576, 0, 225380, 0, 788, 0, 1], 1]], 'hecke_orbit_code': 4503737099879786, 'p': 89}
-
id: 1910874
{'charpoly_factorization': [[[-112896, -67200, -2960, 2560, -8, -24, 1], 2]], 'hecke_orbit_code': 4503737099879786, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '1386.2.c.b', 'level': 1386, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 81494000
{'hecke_orbit_code': 4503737099879786, 'n': 1, 'trace_an': 12}
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id: 81494001
{'hecke_orbit_code': 4503737099879786, 'n': 2, 'trace_an': 12}
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id: 81494002
{'hecke_orbit_code': 4503737099879786, 'n': 3, 'trace_an': 0}
-
id: 81494003
{'hecke_orbit_code': 4503737099879786, 'n': 4, 'trace_an': 12}
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id: 81494004
{'hecke_orbit_code': 4503737099879786, 'n': 5, 'trace_an': 0}
-
id: 81494005
{'hecke_orbit_code': 4503737099879786, 'n': 6, 'trace_an': 0}
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id: 81494006
{'hecke_orbit_code': 4503737099879786, 'n': 7, 'trace_an': 0}
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id: 81494007
{'hecke_orbit_code': 4503737099879786, 'n': 8, 'trace_an': 12}
-
id: 81494008
{'hecke_orbit_code': 4503737099879786, 'n': 9, 'trace_an': 0}
-
id: 81494009
{'hecke_orbit_code': 4503737099879786, 'n': 10, 'trace_an': 0}
-
id: 81494010
{'hecke_orbit_code': 4503737099879786, 'n': 11, 'trace_an': -4}
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id: 81494011
{'hecke_orbit_code': 4503737099879786, 'n': 12, 'trace_an': 0}
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id: 81494012
{'hecke_orbit_code': 4503737099879786, 'n': 13, 'trace_an': 0}
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id: 81494013
{'hecke_orbit_code': 4503737099879786, 'n': 14, 'trace_an': 0}
-
id: 81494014
{'hecke_orbit_code': 4503737099879786, 'n': 15, 'trace_an': 0}
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id: 81494015
{'hecke_orbit_code': 4503737099879786, 'n': 16, 'trace_an': 12}
-
id: 81494016
{'hecke_orbit_code': 4503737099879786, 'n': 17, 'trace_an': 16}
-
id: 81494017
{'hecke_orbit_code': 4503737099879786, 'n': 18, 'trace_an': 0}
-
id: 81494018
{'hecke_orbit_code': 4503737099879786, 'n': 19, 'trace_an': 0}
-
id: 81494019
{'hecke_orbit_code': 4503737099879786, 'n': 20, 'trace_an': 0}
-
id: 81494020
{'hecke_orbit_code': 4503737099879786, 'n': 21, 'trace_an': 0}
-
id: 81494021
{'hecke_orbit_code': 4503737099879786, 'n': 22, 'trace_an': -4}
-
id: 81494022
{'hecke_orbit_code': 4503737099879786, 'n': 23, 'trace_an': 0}
-
id: 81494023
{'hecke_orbit_code': 4503737099879786, 'n': 24, 'trace_an': 0}
-
id: 81494024
{'hecke_orbit_code': 4503737099879786, 'n': 25, 'trace_an': -4}
-
id: 81494025
{'hecke_orbit_code': 4503737099879786, 'n': 26, 'trace_an': 0}
-
id: 81494026
{'hecke_orbit_code': 4503737099879786, 'n': 27, 'trace_an': 0}
-
id: 81494027
{'hecke_orbit_code': 4503737099879786, 'n': 28, 'trace_an': 0}
-
id: 81494028
{'hecke_orbit_code': 4503737099879786, 'n': 29, 'trace_an': 16}
-
id: 81494029
{'hecke_orbit_code': 4503737099879786, 'n': 30, 'trace_an': 0}
-
id: 81494030
{'hecke_orbit_code': 4503737099879786, 'n': 31, 'trace_an': 0}
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id: 81494031
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