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mf_newforms • Show schema
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{'Nk2': 10496, 'analytic_conductor': 20.952745490383972, 'analytic_rank': 1, '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': [2624, 2, [575, 1477, 129], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 1313, 'conrey_indexes': [1313], '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': [[3, [4, 0, 8, 0, 1]], [7, [6, 6, 1]], [23, [-8, -4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268007774784, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
Hide schema
{'Nk2': 10496, 'analytic_conductor': 20.952745490383972, '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': [2624, 2, [575, 1477, 129], [2, 1, 2]], 'conrey_index': 1313, 'cusp_dim': 324, 'dim': 80, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 23], 'hecke_orbit_code': 68753033792, 'hecke_orbit_dims': [2, 2, 4, 4, 12, 28, 28], 'label': '2624.2.b', 'level': 2624, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 41], 'level_radical': 82, 'mf_dim': 348, 'mf_new_dim': 80, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 80, 'sturm_bound': 672, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 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, -32, 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0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, -736, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 974640
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2624.2.b.c', 'source_level': 2624, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2624.2.b.c', 'target_level': 2624, 'twist_class_label': '2624.2.b.c', 'twist_class_level': 2624, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 974641
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2624.2.b.c', 'source_level': 2624, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2624.2.b.c', 'target_level': 2624, 'twist_class_label': '2624.2.b.c', 'twist_class_level': 2624, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 974642
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2624.2.b.c', 'source_level': 2624, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2624.2.b.d', 'target_level': 2624, 'twist_class_label': '2624.2.b.c', 'twist_class_level': 2624, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 974643
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '2624.2.b.c', 'source_level': 2624, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2624.2.b.d', 'target_level': 2624, 'twist_class_label': '2624.2.b.c', 'twist_class_level': 2624, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2762975
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007268007774784, 'p': 2}
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id: 2762976
{'charpoly_factorization': [[[4, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 9007268007774784, 'p': 3}
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id: 2762977
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 5}
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id: 2762978
{'charpoly_factorization': [[[6, 6, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 7}
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id: 2762979
{'charpoly_factorization': [[[4, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 9007268007774784, 'p': 11}
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id: 2762980
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 9007268007774784, 'p': 13}
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id: 2762981
{'charpoly_factorization': [[[4, 8, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 17}
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id: 2762982
{'charpoly_factorization': [[[4, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 9007268007774784, 'p': 19}
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id: 2762983
{'charpoly_factorization': [[[-8, -4, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 23}
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id: 2762984
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 29}
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id: 2762985
{'charpoly_factorization': [[[-8, 4, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 31}
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id: 2762986
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 9007268007774784, 'p': 37}
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id: 2762987
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 9007268007774784, 'p': 41}
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id: 2762988
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 43}
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id: 2762989
{'charpoly_factorization': [[[-2, 2, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 47}
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id: 2762990
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 53}
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id: 2762991
{'charpoly_factorization': [[[8464, 0, 248, 0, 1], 1]], 'hecke_orbit_code': 9007268007774784, 'p': 59}
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id: 2762992
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 61}
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id: 2762993
{'charpoly_factorization': [[[484, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 9007268007774784, 'p': 67}
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id: 2762994
{'charpoly_factorization': [[[94, 22, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 71}
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id: 2762995
{'charpoly_factorization': [[[88, 20, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 73}
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id: 2762996
{'charpoly_factorization': [[[94, 22, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 79}
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id: 2762997
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 83}
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id: 2762998
{'charpoly_factorization': [[[-108, 0, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 89}
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id: 2762999
{'charpoly_factorization': [[[-92, 8, 1], 2]], 'hecke_orbit_code': 9007268007774784, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 3, 'label': '2624.2.b.c', 'level': 2624, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 114897000
{'hecke_orbit_code': 9007268007774784, 'n': 1, 'trace_an': 4}
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id: 114897001
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{'hecke_orbit_code': 9007268007774784, 'n': 998, 'trace_an': 0}
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id: 114897998
{'hecke_orbit_code': 9007268007774784, 'n': 999, 'trace_an': -64}
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id: 114897999
{'hecke_orbit_code': 9007268007774784, 'n': 1000, 'trace_an': 0}