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mf_newforms • Show schema
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [1728, 2, [703, 325, 1217], [1, 1, 2]], 'cm_discs': [], 'conrey_index': 1567, 'conrey_indexes': [1567], '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': [[5, [36, 0, 1]], [7, [25, 0, 1]], [11, [-6, 1]], [17, [-972, 0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518066906662592, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 36, 'hecke_ring_index_factorization': [[2, 2], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 24, 8, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
Hide schema
{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [1728, 2, [703, 325, 1217], [1, 1, 2]], 'conrey_index': 1567, 'cusp_dim': 540, 'dim': 64, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17], 'hecke_orbit_code': 68769810112, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 8, 8, 12, 12], 'label': '1728.3.b', 'level': 1728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 612, 'mf_new_dim': 64, 'num_forms': 10, 'prim_orbit_index': 4, 'relative_dim': 64, 'sturm_bound': 864, 'trace_bound': 49, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 798134
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.3.b.f', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1728.3.b.a', 'target_level': 1728, 'twist_class_label': '1728.3.b.a', 'twist_class_level': 1728, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 798135
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.3.b.f', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1728.3.b.a', 'target_level': 1728, 'twist_class_label': '1728.3.b.a', 'twist_class_level': 1728, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 798136
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.3.b.f', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1728.3.b.a', 'target_level': 1728, 'twist_class_label': '1728.3.b.a', 'twist_class_level': 1728, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 798137
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.3.b.f', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1728.3.b.a', 'target_level': 1728, 'twist_class_label': '1728.3.b.a', 'twist_class_level': 1728, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 798138
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.3.b.f', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.3.b.f', 'target_level': 1728, 'twist_class_label': '1728.3.b.a', 'twist_class_level': 1728, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 798139
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.3.b.f', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.3.b.f', 'target_level': 1728, 'twist_class_label': '1728.3.b.a', 'twist_class_level': 1728, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 798140
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.3.b.f', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.3.b.f', 'target_level': 1728, 'twist_class_label': '1728.3.b.a', 'twist_class_level': 1728, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 798141
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.3.b.f', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.3.b.f', 'target_level': 1728, 'twist_class_label': '1728.3.b.a', 'twist_class_level': 1728, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2161775
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518066906662592, 'p': 2}
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id: 2161776
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518066906662592, 'p': 3}
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id: 2161777
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 5}
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id: 2161778
{'charpoly_factorization': [[[25, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 7}
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id: 2161779
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 22518066906662592, 'p': 11}
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id: 2161780
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 13}
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id: 2161781
{'charpoly_factorization': [[[-972, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 17}
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id: 2161782
{'charpoly_factorization': [[[-675, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 19}
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id: 2161783
{'charpoly_factorization': [[[972, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 23}
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id: 2161784
{'charpoly_factorization': [[[1296, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 29}
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id: 2161785
{'charpoly_factorization': [[[676, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 31}
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id: 2161786
{'charpoly_factorization': [[[675, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 37}
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id: 2161787
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518066906662592, 'p': 41}
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id: 2161788
{'charpoly_factorization': [[[-432, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 43}
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id: 2161789
{'charpoly_factorization': [[[972, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 47}
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id: 2161790
{'charpoly_factorization': [[[3600, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 53}
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id: 2161791
{'charpoly_factorization': [[[-18, 1], 4]], 'hecke_orbit_code': 22518066906662592, 'p': 59}
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id: 2161792
{'charpoly_factorization': [[[6075, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 61}
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id: 2161793
{'charpoly_factorization': [[[-6075, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 67}
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id: 2161794
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518066906662592, 'p': 71}
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id: 2161795
{'charpoly_factorization': [[[-25, 1], 4]], 'hecke_orbit_code': 22518066906662592, 'p': 73}
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id: 2161796
{'charpoly_factorization': [[[961, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 79}
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id: 2161797
{'charpoly_factorization': [[[-120, 1], 4]], 'hecke_orbit_code': 22518066906662592, 'p': 83}
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id: 2161798
{'charpoly_factorization': [[[-24300, 0, 1], 2]], 'hecke_orbit_code': 22518066906662592, 'p': 89}
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id: 2161799
{'charpoly_factorization': [[[85, 1], 4]], 'hecke_orbit_code': 22518066906662592, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 6, 'label': '1728.3.b.f', 'level': 1728, 'portrait': 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'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 170805000
{'hecke_orbit_code': 22518066906662592, 'n': 1, 'trace_an': 4}
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id: 170805001
{'hecke_orbit_code': 22518066906662592, 'n': 2, 'trace_an': 0}
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id: 170805002
{'hecke_orbit_code': 22518066906662592, 'n': 3, 'trace_an': 0}
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id: 170805003
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