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mf_newforms • Show schema
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{'Nk2': 8640, 'analytic_conductor': 17.247686836596564, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [2160, 2, [271, 1621, 2081, 1297], [1, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 431, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [36, 0, 24, 0, 1]], [11, [6, 6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 481069893744, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 12, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 8640, 'analytic_conductor': 17.247686836596564, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [2160, 2, [271, 1621, 2081, 1297], [1, 2, 1, 2]], 'conrey_index': 431, 'cusp_dim': 396, 'dim': 32, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 481069893744, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 8], 'label': '2160.2.h', 'level': 2160, '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': [2, 3, 5], 'level_radical': 30, 'mf_dim': 468, 'mf_new_dim': 32, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 32, 'sturm_bound': 864, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -464, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 5695007
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893744, 'source_is_minimal': True, 'source_label': '2160.2.h.a.431.2', 'source_level': 2160, 'target_conrey_index': 431, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069893744, 'target_is_minimal': True, 'target_label': '2160.2.h.a.431.2', 'target_level': 2160, 'twist_class_label': '2160.2.h.a.431.2', 'twist_class_level': 2160, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 5695008
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893744, 'source_is_minimal': True, 'source_label': '2160.2.h.a.431.2', 'source_level': 2160, 'target_conrey_index': 431, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518479206746224, 'target_is_minimal': True, 'target_label': '2160.2.h.f.431.4', 'target_level': 2160, 'twist_class_label': '2160.2.h.a.431.2', 'twist_class_level': 2160, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5695009
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893744, 'source_is_minimal': True, 'source_label': '2160.2.h.a.431.2', 'source_level': 2160, 'target_conrey_index': 431, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518479206746224, 'target_is_minimal': True, 'target_label': '2160.2.h.f.431.1', 'target_level': 2160, 'twist_class_label': '2160.2.h.a.431.2', 'twist_class_level': 2160, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5695010
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893744, 'source_is_minimal': True, 'source_label': '2160.2.h.a.431.2', 'source_level': 2160, 'target_conrey_index': 431, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 481069893744, 'target_is_minimal': True, 'target_label': '2160.2.h.a.431.3', 'target_level': 2160, 'twist_class_label': '2160.2.h.a.431.2', 'twist_class_level': 2160, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2460925
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069893744, 'p': 2}
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id: 2460926
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069893744, 'p': 3}
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id: 2460927
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 5}
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id: 2460928
{'charpoly_factorization': [[[36, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 481069893744, 'p': 7}
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id: 2460929
{'charpoly_factorization': [[[6, 6, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 11}
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id: 2460930
{'charpoly_factorization': [[[-26, -2, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 13}
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id: 2460931
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 17}
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id: 2460932
{'charpoly_factorization': [[[9, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 481069893744, 'p': 19}
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id: 2460933
{'charpoly_factorization': [[[33, -12, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 23}
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id: 2460934
{'charpoly_factorization': [[[324, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 481069893744, 'p': 29}
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id: 2460935
{'charpoly_factorization': [[[9, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 481069893744, 'p': 31}
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id: 2460936
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 481069893744, 'p': 37}
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id: 2460937
{'charpoly_factorization': [[[324, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 481069893744, 'p': 41}
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id: 2460938
{'charpoly_factorization': [[[4356, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 481069893744, 'p': 43}
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id: 2460939
{'charpoly_factorization': [[[24, 12, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 47}
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id: 2460940
{'charpoly_factorization': [[[81, 0, 126, 0, 1], 1]], 'hecke_orbit_code': 481069893744, 'p': 53}
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id: 2460941
{'charpoly_factorization': [[[-66, 6, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 59}
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id: 2460942
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 481069893744, 'p': 61}
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id: 2460943
{'charpoly_factorization': [[[108, 0, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 67}
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id: 2460944
{'charpoly_factorization': [[[6, 6, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 71}
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id: 2460945
{'charpoly_factorization': [[[-26, -2, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 73}
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id: 2460946
{'charpoly_factorization': [[[1521, 0, 114, 0, 1], 1]], 'hecke_orbit_code': 481069893744, 'p': 79}
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id: 2460947
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 481069893744, 'p': 83}
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id: 2460948
{'charpoly_factorization': [[[2916, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 481069893744, 'p': 89}
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id: 2460949
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 481069893744, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '2160.2.h.a', 'level': 2160, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 9415518
{'hecke_orbit_code': 481069893744, 'n': 1, 'trace_an': 4}
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id: 9415519
{'hecke_orbit_code': 481069893744, 'n': 2, 'trace_an': 0}
-
id: 9415520
{'hecke_orbit_code': 481069893744, 'n': 3, 'trace_an': 0}
-
id: 9415521
{'hecke_orbit_code': 481069893744, 'n': 4, 'trace_an': 0}
-
id: 9415522
{'hecke_orbit_code': 481069893744, 'n': 5, 'trace_an': 0}
-
id: 9415523
{'hecke_orbit_code': 481069893744, 'n': 6, 'trace_an': 0}
-
id: 9415524
{'hecke_orbit_code': 481069893744, 'n': 7, 'trace_an': 0}
-
id: 9415525
{'hecke_orbit_code': 481069893744, 'n': 8, 'trace_an': 0}
-
id: 9415526
{'hecke_orbit_code': 481069893744, 'n': 9, 'trace_an': 0}
-
id: 9415527
{'hecke_orbit_code': 481069893744, 'n': 10, 'trace_an': 0}
-
id: 9415528
{'hecke_orbit_code': 481069893744, 'n': 11, 'trace_an': -12}
-
id: 9415529
{'hecke_orbit_code': 481069893744, 'n': 12, 'trace_an': 0}
-
id: 9415530
{'hecke_orbit_code': 481069893744, 'n': 13, 'trace_an': 4}
-
id: 9415531
{'hecke_orbit_code': 481069893744, 'n': 14, 'trace_an': 0}
-
id: 9415532
{'hecke_orbit_code': 481069893744, 'n': 15, 'trace_an': 0}
-
id: 9415533
{'hecke_orbit_code': 481069893744, 'n': 16, 'trace_an': 0}
-
id: 9415534
{'hecke_orbit_code': 481069893744, 'n': 17, 'trace_an': 0}
-
id: 9415535
{'hecke_orbit_code': 481069893744, 'n': 18, 'trace_an': 0}
-
id: 9415536
{'hecke_orbit_code': 481069893744, 'n': 19, 'trace_an': 0}
-
id: 9415537
{'hecke_orbit_code': 481069893744, 'n': 20, 'trace_an': 0}
-
id: 9415538
{'hecke_orbit_code': 481069893744, 'n': 21, 'trace_an': 0}
-
id: 9415539
{'hecke_orbit_code': 481069893744, 'n': 22, 'trace_an': 0}
-
id: 9415540
{'hecke_orbit_code': 481069893744, 'n': 23, 'trace_an': 24}
-
id: 9415541
{'hecke_orbit_code': 481069893744, 'n': 24, 'trace_an': 0}
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id: 9415542
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id: 9415775
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