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mf_newforms • Show schema
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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 4, 1, 1, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 1, 1, 1, 1], 'ALdims_old': [12, 15, 15, 11, 12, 11, 11, 10], 'Nk2': 2960, 'analytic_conductor': 5.908929749574749, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [740, 1, [371, 297, 261], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 109, 'dim': 12, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33555172, 'hecke_orbit_dims': [1, 1, 1, 2, 3, 4], 'label': '740.2.a', 'level': 740, '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, 5, 37], 'level_radical': 370, 'mf_dim': 120, 'mf_new_dim': 12, 'num_forms': 6, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 12, 'sturm_bound': 228, 'trace_bound': 3, 'trace_display': [0, 4, 2, 0], 'traces': [12, 0, 4, 0, 2, 0, 0, 0, 16, 0, -4, 0, 0, 0, -4, 0, 16, 0, 12, 0, 20, 0, 4, 0, 12, 0, 16, 0, 8, 0, 4, 0, 24, 0, 4, 0, 2, 0, 4, 0, 4, 0, 28, 0, 10, 0, 4, 0, 24, 0, 12, 0, -4, 0, 0, 0, -20, 0, -20, 0, 28, 0, -36, 0, -8, 0, 8, 0, -4, 0, -20, 0, 12, 0, 4, 0, -8, 0, -16, 0, 28, 0, 0, 0, -12, 0, -48, 0, -24, 0, 0, 0, 4, 0, -8, 0, 12, 0, -16, 0, 4, 0, -20, 0, 16, 0, 16, 0, -12, 0, 0, 0, 8, 0, -4, 0, 16, 0, -56, 0, 64, 0, -12, 0, 2, 0, -56, 0, -4, 0, -8, 0, 36, 0, -4, 0, -44, 0, -24, 0, -44, 0, -72, 0, 0, 0, -76, 0, 28, 0, -40, 0, 0, 0, 8, 0, 48, 0, -116, 0, -84, 0, 20, 0, -8, 0, -52, 0, 76, 0, -8, 0, -64, 0, 0, 0, -44, 0, 28, 0, 52, 0, -88, 0, 8, 0, -8, 0, -12, 0, -32, 0, 4, 0, -4, 0, -24, 0, 16, 0, -24, 0, -24, 0, 28, 0, -20, 0, 0, 0, -12, 0, -80, 0, -16, 0, 84, 0, -20, 0, 24, 0, 32, 0, 16, 0, -68, 0, -4, 0, -52, 0, -44, 0, -8, 0, -60, 0, 32, 0, 52, 0, 32, 0, -14, 0, 16, 0, -28, 0, 32, 0, 88, 0, 32, 0, 48, 0, 0, 0, 40, 0, -20, 0, 24, 0, 8, 0, -56, 0, 4, 0, 8, 0, -4, 0, 64, 0, -52, 0, 20, 0, 60, 0, -4, 0, -52, 0, 36, 0, 100, 0, 60, 0, -20, 0, -56, 0, 0, 0, 4, 0, 48, 0, 20, 0, 12, 0, -20, 0, 48, 0, 4, 0, 4, 0, -8, 0, 88, 0, -48, 0, -24, 0, 0, 0, 88, 0, 12, 0, 32, 0, 10, 0, -8, 0, 60, 0, -44, 0, -96, 0, -60, 0, -32, 0, 60, 0, 88, 0, 28, 0, -12, 0, 8, 0, -8, 0, 4, 0, 52, 0, 116, 0, 8, 0, -4, 0, 72, 0, 100, 0, 56, 0, -4, 0, -16, 0, 20, 0, -36, 0, 52, 0, -40, 0, 172, 0, 52, 0, 24, 0, -20, 0, 4, 0, 52, 0, 32, 0, 80, 0, 132, 0, 34, 0, 0, 0, 68, 0, 120, 0, -44, 0, 56, 0, 96, 0, -36, 0, 20, 0, -48, 0, 16, 0, 56, 0, 24, 0, -60, 0, -20, 0, -68, 0, -132, 0, -4, 0, -16, 0, 36, 0, 8, 0, -64, 0, 4, 0, 68, 0, 32, 0, 64, 0, 20, 0, 212, 0, -32, 0, -68, 0, -24, 0, 84, 0, -40, 0, -44, 0, 40, 0, 12, 0, -20, 0, -120, 0, -4, 0, 104, 0, -28, 0, 100, 0, -172, 0, -16, 0, 24, 0, -72, 0, -96, 0, -40, 0, -36, 0, 36, 0, 36, 0, -56, 0, 52, 0, -28, 0, -56, 0, 0, 0, -80, 0, -100, 0, -124, 0, 68, 0, 20, 0, -36, 0, -12, 0, -76, 0, -88, 0, 4, 0, -108, 0, 64, 0, -24, 0, 56, 0, -12, 0, -44, 0, -44, 0, -16, 0, -44, 0, 4, 0, 56, 0, 0, 0, -96, 0, 12, 0, -20, 0, 24, 0, 76, 0, 84, 0, -172, 0, 4, 0, 32, 0, 112, 0, -44, 0, -96, 0, -60, 0, 84, 0, 96, 0, 124, 0, -48, 0, -4, 0, -108, 0, 4, 0, -24, 0, -8, 0, 42, 0, -92, 0, -72, 0, -32, 0, 52, 0, 4, 0, -16, 0, -108, 0, -32, 0, 24, 0, 12, 0, 264, 0, -12, 0, -116, 0, -120, 0, 40, 0, 112, 0, -88, 0, 36, 0, -44, 0, -52, 0, -76, 0, -128, 0, -132, 0, -76, 0, 8, 0, -4, 0, 20, 0, 4, 0, 44, 0, -44, 0, 8, 0, 12, 0, -48, 0, 24, 0, 16, 0, 120, 0, -52, 0, -100, 0, -44, 0, -32, 0, -196, 0, -8, 0, 112, 0, -264, 0, -64, 0, -56, 0, 104, 0, -4, 0, -16, 0, 48, 0, 20, 0, -112, 0, -40, 0, -172, 0, -28, 0, -228, 0, 92, 0, -20, 0, 80, 0, 8, 0, -76, 0, -92, 0, 24, 0, 76, 0, -24, 0, -120, 0, 116, 0, -208, 0, 4, 0, -28, 0, 192, 0, -72, 0, -68, 0, 108, 0, -8, 0, 60, 0, -8, 0, -52, 0, 16, 0, 4, 0, 140, 0, 88, 0, -116, 0, -112, 0, 4, 0, 16, 0, 140, 0, 52, 0, -112, 0, 4, 0, 68, 0, -108, 0, -16, 0, 80, 0, -24, 0, 88, 0, -152, 0, -104, 0, 128, 0, 16, 0, -160, 0, -120, 0, -28, 0, 160, 0, 20, 0, -60, 0, 148, 0, -84, 0, 60, 0, 24, 0, 36, 0, 52, 0, 204, 0, 64, 0, -52, 0, -80, 0, 0, 0, -20, 0, 56, 0, 30, 0, -88, 0, 20, 0, -8, 0, -92, 0, 24, 0, 76, 0, -16, 0, 148, 0, -28, 0, -84, 0, 0, 0, -8, 0, -36, 0, -12, 0, 4, 0, -80, 0, -8, 0, -56, 0, -44, 0, -60, 0, -96, 0, -52, 0, -44, 0, 172, 0, -4, 0, 240, 0, -16, 0, 0, 0, 64, 0, 36, 0, 68, 0, 128, 0, 36, 0, -72, 0, 68, 0, -268, 0, -132, 0, 52, 0, -24, 0, 2, 0, 12, 0, 136, 0, -32, 0, 76, 0, -24, 0, 84, 0, -20, 0, 96, 0, -120, 0, 72, 0, -68, 0, 0, 0, 144, 0, -96, 0, -48, 0, 144, 0, 144, 0, 20, 0, 92, 0, -12, 0, -148, 0, -232, 0, -48, 0, 24, 0, 4, 0, 44, 0, -232, 0, -36, 0, 100, 0, -28, 0, 224, 0, 24, 0, -72, 0, -12, 0, -44, 0, 204, 0, -24, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 33851197
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925668, 'source_is_minimal': True, 'source_label': '740.2.a.b.1.1', 'source_level': 740, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925668, 'target_is_minimal': True, 'target_label': '740.2.a.b.1.1', 'target_level': 740, 'twist_class_label': '740.2.a.b.1.1', 'twist_class_level': 740, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33851198
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925668, 'source_is_minimal': True, 'source_label': '740.2.a.b.1.1', 'source_level': 740, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288302084, 'target_is_minimal': False, 'target_label': '6660.2.a.c.1.1', 'target_level': 6660, 'twist_class_label': '740.2.a.b.1.1', 'twist_class_level': 740, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33851199
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925668, 'source_is_minimal': True, 'source_label': '740.2.a.b.1.1', 'source_level': 740, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915668880, 'target_is_minimal': False, 'target_label': '2960.2.a.d.1.1', 'target_level': 2960, 'twist_class_label': '740.2.a.b.1.1', 'twist_class_level': 740, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33851200
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925668, 'source_is_minimal': True, 'source_label': '740.2.a.b.1.1', 'source_level': 740, 'target_conrey_index': 149, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074099828, 'target_is_minimal': False, 'target_label': '3700.2.d.d.149.1', 'target_level': 3700, 'twist_class_label': '740.2.a.b.1.1', 'twist_class_level': 740, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33851201
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925668, 'source_is_minimal': True, 'source_label': '740.2.a.b.1.1', 'source_level': 740, 'target_conrey_index': 149, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005074099828, 'target_is_minimal': False, 'target_label': '3700.2.d.d.149.2', 'target_level': 3700, 'twist_class_label': '740.2.a.b.1.1', 'twist_class_level': 740, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33851202
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925668, 'source_is_minimal': True, 'source_label': '740.2.a.b.1.1', 'source_level': 740, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288299124, 'target_is_minimal': False, 'target_label': '3700.2.a.c.1.1', 'target_level': 3700, 'twist_class_label': '740.2.a.b.1.1', 'twist_class_level': 740, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1273200
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 2}
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id: 1273201
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 3}
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id: 1273202
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 5}
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id: 1273203
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 7}
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id: 1273204
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 11}
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id: 1273205
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 13}
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id: 1273206
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 17}
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id: 1273207
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 19}
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id: 1273208
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 23}
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id: 1273209
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 29}
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id: 1273210
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 31}
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id: 1273211
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 37}
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id: 1273212
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 41}
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id: 1273213
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 43}
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id: 1273214
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 47}
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id: 1273215
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 53}
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id: 1273216
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 59}
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id: 1273217
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 61}
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id: 1273218
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 67}
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id: 1273219
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 71}
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id: 1273220
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 73}
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id: 1273221
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 79}
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id: 1273222
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 83}
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id: 1273223
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 89}
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id: 1273224
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660925668, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '740.2.a.b', 'level': 740, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 16209174
{'hecke_orbit_code': 4503599660925668, 'n': 1, 'trace_an': 1}
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id: 16209175
{'hecke_orbit_code': 4503599660925668, 'n': 2, 'trace_an': 0}
-
id: 16209176
{'hecke_orbit_code': 4503599660925668, 'n': 3, 'trace_an': 1}
-
id: 16209177
{'hecke_orbit_code': 4503599660925668, 'n': 4, 'trace_an': 0}
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id: 16209178
{'hecke_orbit_code': 4503599660925668, 'n': 5, 'trace_an': -1}
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id: 16209179
{'hecke_orbit_code': 4503599660925668, 'n': 6, 'trace_an': 0}
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id: 16209180
{'hecke_orbit_code': 4503599660925668, 'n': 7, 'trace_an': -1}
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id: 16209181
{'hecke_orbit_code': 4503599660925668, 'n': 8, 'trace_an': 0}
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id: 16209182
{'hecke_orbit_code': 4503599660925668, 'n': 9, 'trace_an': -2}
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id: 16209183
{'hecke_orbit_code': 4503599660925668, 'n': 10, 'trace_an': 0}
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id: 16209184
{'hecke_orbit_code': 4503599660925668, 'n': 11, 'trace_an': -3}
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id: 16209185
{'hecke_orbit_code': 4503599660925668, 'n': 12, 'trace_an': 0}
-
id: 16209186
{'hecke_orbit_code': 4503599660925668, 'n': 13, 'trace_an': -4}
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id: 16209187
{'hecke_orbit_code': 4503599660925668, 'n': 14, 'trace_an': 0}
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id: 16209188
{'hecke_orbit_code': 4503599660925668, 'n': 15, 'trace_an': -1}
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