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mf_newforms • Show schema
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{'Nk2': 2760, 'analytic_conductor': 5.509677739468347, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 4, 'char_parity': 1, 'char_values': [690, 4, [461, 277, 511], [2, 1, 4]], 'cm_discs': [], 'conrey_index': 47, 'conrey_indexes': [47, 323], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [144, 0, 0, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044110002, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 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mf_hecke_cc • Show schema
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-0.18529586443505378, -0.23532276673854888, -0.12303784201682165], 'char_orbit_index': 9, 'conrey_index': 47, 'dual_conrey_index': 323, 'dual_embedding_index': 3, 'dual_embedding_m': 7, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.9659258262890683, 'embedding_root_real': 0.25881904510252074, 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044110002, 'label': '690.2.i.c.47.3', 'level': 690, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2760, 'analytic_conductor': 5.509677739468347, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 4, 'char_parity': 1, 'char_values': [690, 4, [461, 277, 511], [2, 1, 4]], 'conrey_index': 47, 'cusp_dim': 272, 'dim': 88, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 549789369010, 'hecke_orbit_dims': [4, 4, 8, 8, 32, 32], 'label': '690.2.i', 'level': 690, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 304, 'mf_new_dim': 88, 'num_forms': 6, 'prim_orbit_index': 5, 'relative_dim': 44, 'sturm_bound': 288, 'trace_bound': 7, 'trace_display': [0, 0, 0, 8], 'traces': [88, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 0, 16, 0, -24, -88, 0, 0, 0, 0, -16, -8, 0, 0, 0, 0, 0, 8, 0, 24, 32, 0, 16, 0, 0, 16, 16, 0, 0, -16, 0, -8, 0, 0, 16, 0, 0, 0, 0, 0, 48, -16, 0, 0, 40, 0, 48, 40, 0, 0, -32, 0, -64, 0, 0, -48, -32, 0, 0, 8, 0, 0, -8, 0, -16, -32, 0, 24, 0, 0, 16, 64, 0, 0, -80, 0, -32, -8, 0, -56, 96, 0, 88, 0, 0, 0, -24, 0, 0, 8, 0, -56, -56, 0, 80, -32, 0, 0, 0, 0, -16, -8, 0, 0, 0, 0, -40, -72, 0, 24, -152, 0, -8, 0, 0, -48, 24, 0, 0, 64, 0, -16, -160, 0, 80, 0, 0, 0, 0, 0, 16, 32, 0, 0, 72, 0, -8, 16, 0, 8, -112, 0, 32, 0, 0, -32, -112, 0, 0, 8, 0, 64, 144, 0, -16, 48, 0, -8, 0, 0, 112, 0, 0, 0, 8, 0, 72, 64, 0, -64, 224, 0, -88, 0, 0, 16, 0, 0, 0, -16, 0, 0, -56, 0, -80, 120, 0, -24, 0, 0, 32, -104, 0, 0, -64, 0, 32, -16, 0, -64, -160, 0, -176, 0, 0, -48, 192, 0, 0, -56, 0, 32, 232, 0, -168, -96, 0, 48, 0, 0, -232, -40, 0, 0, -16, 0, 80, 112, 0, 24, -32, 0, -40, 0, 0, 8, 128, 0, 0, -64, 0, 64, 0, 0, 48, 88, 0, 16, 0, 0, 48, 72, 0, 0, -96, 0, -128, -32, 0, 136, 48, 0, -88, 0, 0, 0, -176, 0, 0, 40, 0, 88, -192, 0, -200, -32, 0, 0, 0, 0, 208, 8, 0, 0, 264, 0, -72, -72, 0, 16, 96, 0, 56, 0, 0, 96, -320, 0, 0, 160, 0, -24, -104, 0, 216, -64, 0, 128, 0, 0, -144, 0, 0, 0, -96, 0, -256, 64, 0, 72, 32, 0, 192, 0, 0, 16, 328, 0, 0, 16, 0, 24, 96, 0, 0, 96, 0, -32, 0, 0, -136, 8, 0, 0, 64, 0, -56, 24, 0, 0, -40, 0, 288, 0, 0, 96, 88, 0, 0, -64, 0, -88, 48, 0, 0, 0, 0, -192, 0, 0, -144, -16, 0, 0, -336, 0, 192, -24, 0, 48, 64, 0, 48, 0, 0, 112, -64, 0, 0, 0, 0, 48, -16, 0, 32, -48, 0, -56, 0, 0, 0, 56, 0, 0, 96, 0, 120, -192, 0, 0, -32, 0, 328, 0, 0, 24, -112, 0, 0, -192, 0, 0, -56, 0, 32, 160, 0, 24, 0, 0, 192, 80, 0, 0, -160, 0, -264, -8, 0, 80, -320, 0, -304, 0, 0, 0, -24, 0, 0, 0, 0, -16, 104, 0, 128, 304, 0, -40, 0, 0, 96, 72, 0, 0, 176, 0, 0, -64, 0, -24, -96, 0, 0, 0, 0, 120, -8, 0, 0, 48, 0, 8, 80, 0, -128, -32, 0, 0, 0, 0, -112, -200, 0, 0, 184, 0, 408, 24, 0, -216, -48, 0, -56, 0, 0, -16, 176, 0, 0, 16, 0, -80, 240, 0, -224, 64, 0, -16, 0, 0, 16, 160, 0, 0, 80, 0, 80, 40, 0, -8, -240, 0, -256, 0, 0, -48, -64, 0, 0, 40, 0, 0, -272, 0, 160, -64, 0, -32, 0, 0, -320, -80, 0, 0, -128, 0, -184, 32, 0, -88, 320, 0, 16, 0, 0, -16, 56, 0, 0, 136, 0, -160, 224, 0, 8, 192, 0, -8, 0, 0, -72, -16, 0, 0, -64, 0, 96, -16, 0, -24, 128, 0, -48, 0, 0, -80, -312, 0, 0, -64, 0, -32, 32, 0, 360, 48, 0, -128, 0, 0, -48, -48, 0, 0, 40, 0, 280, -112, 0, -112, -576, 0, 8, 0, 0, 0, -192, 0, 0, 16, 0, -208, -224, 0, -304, -160, 0, 64, 0, 0, 64, -144, 0, 0, -40, 0, 16, 224, 0, 48, -64, 0, 280, 0, 0, -432, -32, 0, 0, 96, 0, 8, 152, 0, 224, -184, 0, 160, 0, 0, 432, 224, 0, 0, 464, 0, -144, 0, 0, -32, 352, 0, -80, 0, 0, 0, 80, 0, 0, -136, 0, -48, 160, 0, -112, -304, 0, 72, 0, 0, -160, -64, 0, 0, -96, 0, 32, -96, 0, -16, 144, 0, 16, 0, 0, 304, 440, 0, 0, -248, 0, 88, 416, 0, -8, 0, 0, 64, 0, 0, 0, -80, 0, 0, 520, 0, 80, 0, 0, 152, -192, 0, -328, 0, 0, -112, 144, 0, 0, 64, 0, -216, -256, 0, 200, -192, 0, 0, 0, 0, -48, 56, 0, 0, -624, 0, -56, -280, 0, 16, 160, 0, 32, 0, 0, 128, 176, 0, 0, -16, 0, 24, -576, 0, 96, 112, 0, -216, 0, 0, -224, -160, 0, 0, 16, 0, -232, -104, 0, -112, 320, 0, -216, 0, 0, -48, 112, 0, 0, -112, 0, 176, -216, 0, 336, -112, 0, 32, 0, 0, -112, 16, 0, 0, 240, 0, 24, 104, 0, 80, 216, 0, -32, 0, 0, -208, -360, 0, 0, -256, 0, 176, -240, 0, -296, -80, 0, 232, 0, 0, 656, -320, 0, 0, -464, 0, 256, 192, 0, -200, 64, 0, 136, 0, 0, 144, 208, 0, 0, -40, 0, 128, -400, 0, -288, 0, 0, 32, 0, 0, 384, -232, 0, 0, -280, 0, 96, -112, 0, -8, 448, 0, -40, 0, 0, 8, 704, 0, 0, 208, 0, -48, 752, 0, -456, 96, 0, 32, 0, 0, 24, 8, 0, 0, -288, 0, 248, -40, 0, 256, -416, 0, -160, 0, 0, 72, 200, 0, 0, -160, 0, 416, -64, 0, -152, -288, 0, 80, 0, 0, -400, -112, 0, 0, 240, 0, -640, -240, 0, 0, -120, 0, -224, 0, 0, 0, -568, 0, 0, 440, 0, 40, -256, 0, -704, 32, 0, -48, 0, 0, 528, 24, 0, 0, 464, 0, -80, 128, 0, -216, -336, 0, 288, 0, 0, 16, -240, 0, 0, 88], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41090797
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007749044110002, 'source_is_minimal': True, 'source_label': '690.2.i.c.47.3', 'source_level': 690, 'target_conrey_index': 47, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007749044110002, 'target_is_minimal': True, 'target_label': '690.2.i.c.47.3', 'target_level': 690, 'twist_class_label': '690.2.i.c.47.2', 'twist_class_level': 690, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41090798
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007749044110002, 'source_is_minimal': True, 'source_label': '690.2.i.c.47.3', 'source_level': 690, 'target_conrey_index': 47, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044110002, 'target_is_minimal': True, 'target_label': '690.2.i.c.47.2', 'target_level': 690, 'twist_class_label': '690.2.i.c.47.2', 'twist_class_level': 690, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41090799
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007749044110002, 'source_is_minimal': True, 'source_label': '690.2.i.c.47.3', 'source_level': 690, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044110002, 'target_is_minimal': True, 'target_label': '690.2.i.c.323.2', 'target_level': 690, 'twist_class_label': '690.2.i.c.47.2', 'twist_class_level': 690, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41090800
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007749044110002, 'source_is_minimal': True, 'source_label': '690.2.i.c.47.3', 'source_level': 690, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007749044110002, 'target_is_minimal': True, 'target_label': '690.2.i.c.323.3', 'target_level': 690, 'twist_class_label': '690.2.i.c.47.2', 'twist_class_level': 690, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1212150
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 2}
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id: 1212151
{'charpoly_factorization': [[[9, 12, 8, 4, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 3}
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id: 1212152
{'charpoly_factorization': [[[25, 0, -2, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 5}
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id: 1212153
{'charpoly_factorization': [[[144, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 7}
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id: 1212154
{'charpoly_factorization': [[[32, 0, 1], 4]], 'hecke_orbit_code': 9007749044110002, 'p': 11}
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id: 1212155
{'charpoly_factorization': [[[100, -40, 8, 4, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 13}
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id: 1212156
{'charpoly_factorization': [[[2916, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 17}
-
id: 1212157
{'charpoly_factorization': [[[6, 0, 1], 4]], 'hecke_orbit_code': 9007749044110002, 'p': 19}
-
id: 1212158
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 23}
-
id: 1212159
{'charpoly_factorization': [[[400, 0, -88, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 29}
-
id: 1212160
{'charpoly_factorization': [[[-24, 0, 1], 4]], 'hecke_orbit_code': 9007749044110002, 'p': 31}
-
id: 1212161
{'charpoly_factorization': [[[144, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 37}
-
id: 1212162
{'charpoly_factorization': [[[72, 0, 1], 4]], 'hecke_orbit_code': 9007749044110002, 'p': 41}
-
id: 1212163
{'charpoly_factorization': [[[1600, -320, 32, 8, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 43}
-
id: 1212164
{'charpoly_factorization': [[[160000, 0, 0, 0, 2336, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007749044110002, 'p': 47}
-
id: 1212165
{'charpoly_factorization': [[[104976, 0, 0, 0, 31752, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007749044110002, 'p': 53}
-
id: 1212166
{'charpoly_factorization': [[[2116, 0, -100, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 59}
-
id: 1212167
{'charpoly_factorization': [[[-8, 8, 1], 4]], 'hecke_orbit_code': 9007749044110002, 'p': 61}
-
id: 1212168
{'charpoly_factorization': [[[576, 576, 288, 24, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 67}
-
id: 1212169
{'charpoly_factorization': [[[8100, 0, 252, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 71}
-
id: 1212170
{'charpoly_factorization': [[[900, 360, 72, -12, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 73}
-
id: 1212171
{'charpoly_factorization': [[[4, 0, 20, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 79}
-
id: 1212172
{'charpoly_factorization': [[[16, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 83}
-
id: 1212173
{'charpoly_factorization': [[[400, 0, -88, 0, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 89}
-
id: 1212174
{'charpoly_factorization': [[[16, 32, 32, -8, 1], 2]], 'hecke_orbit_code': 9007749044110002, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '690.2.i.c', 'level': 690, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 120788000
{'hecke_orbit_code': 9007749044110002, 'n': 1, 'trace_an': 8}
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id: 120788001
{'hecke_orbit_code': 9007749044110002, 'n': 2, 'trace_an': 0}
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id: 120788002
{'hecke_orbit_code': 9007749044110002, 'n': 3, 'trace_an': -8}
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id: 120788003
{'hecke_orbit_code': 9007749044110002, 'n': 4, 'trace_an': 0}
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id: 120788004
{'hecke_orbit_code': 9007749044110002, 'n': 5, 'trace_an': 0}
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id: 120788005
{'hecke_orbit_code': 9007749044110002, 'n': 6, 'trace_an': -8}
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id: 120788006
{'hecke_orbit_code': 9007749044110002, 'n': 7, 'trace_an': 0}
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id: 120788007
{'hecke_orbit_code': 9007749044110002, 'n': 8, 'trace_an': 0}
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id: 120788008
{'hecke_orbit_code': 9007749044110002, 'n': 9, 'trace_an': 0}
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id: 120788009
{'hecke_orbit_code': 9007749044110002, 'n': 10, 'trace_an': -8}
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id: 120788010
{'hecke_orbit_code': 9007749044110002, 'n': 11, 'trace_an': 0}
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id: 120788011
{'hecke_orbit_code': 9007749044110002, 'n': 12, 'trace_an': 8}
-
id: 120788012
{'hecke_orbit_code': 9007749044110002, 'n': 13, 'trace_an': -8}
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