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{'Nk2': 33120, 'analytic_conductor': 66.11613287362016, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [23, 1]], 'atkin_lehner_string': '--++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8280, 1, [2071, 4141, 4601, 1657, 3961], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-1, 1]], [11, [0, 1]], [13, [4, 1]], [17, [-1, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052526680, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8280.2.a.i', 'level': 8280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '2760.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+q^{7}-4q^{13}+q^{17}-q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/8280/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8280.2.a', 'trace_display': [0, 0, -1, 1], 'trace_hash': 863590388396274292, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.073', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [23, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, -1]], 4, 2], [[[2, 1], [3, 1], [5, -1], [23, -1]], 7, 1], [[[2, 1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 10, 5], [[[2, -1], [3, 1], [5, 1], [23, 1]], 7, 1], [[[2, -1], [3, 1], [5, -1], [23, -1]], 7, 2], [[[2, 1], [3, -1], [5, -1], [23, -1]], 9, 5], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 8, 5], [[[2, 1], [3, -1], [5, 1], [23, 1]], 9, 5], [[[2, 1], [3, -1], [5, -1], [23, 1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [23, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 4, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 10, 3]], 'ALdims': [7, 4, 4, 7, 9, 8, 8, 9, 7, 4, 4, 7, 6, 10, 10, 6], 'Nk2': 33120, 'analytic_conductor': 66.11613287362016, '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': [8280, 1, [2071, 4141, 4601, 1657, 3961], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1697, 'dim': 110, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33562712, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7], 'label': '8280.2.a', 'level': 8280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1760, 'mf_new_dim': 110, 'num_forms': 49, 'plus_dim': 50, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 3456, 'trace_bound': 17, 'trace_display': [0, 0, 0, -8], 'traces': [110, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, -12, 0, 0, 0, -20, 0, -20, 0, 0, 0, 0, 0, 110, 0, 0, 0, -8, 0, 16, 0, 0, 0, -12, 0, -8, 0, 0, 0, -12, 0, 4, 0, 0, 0, 0, 0, 94, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, 16, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 46530918
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052526680, 'source_is_minimal': False, 'source_label': '8280.2.a.i.1.1', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052526680, 'target_is_minimal': False, 'target_label': '8280.2.a.i.1.1', 'target_level': 8280, 'twist_class_label': '2760.2.a.f.1.1', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46530919
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052526680, 'source_is_minimal': False, 'source_label': '8280.2.a.i.1.1', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170409672, 'target_is_minimal': True, 'target_label': '2760.2.a.f.1.1', 'target_level': 2760, 'twist_class_label': '2760.2.a.f.1.1', 'twist_class_level': 2760, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46530920
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052526680, 'source_is_minimal': False, 'source_label': '8280.2.a.i.1.1', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854674832, 'target_is_minimal': False, 'target_label': '5520.2.a.be.1.1', 'target_level': 5520, 'twist_class_label': '2760.2.a.f.1.1', 'twist_class_level': 2760, '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: 4709000
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 2}
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id: 4709001
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 3}
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id: 4709002
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 5}
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id: 4709003
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 7}
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id: 4709004
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 11}
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id: 4709005
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 13}
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id: 4709006
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 17}
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id: 4709007
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 19}
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id: 4709008
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 23}
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id: 4709009
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 29}
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id: 4709010
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 31}
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id: 4709011
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 37}
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id: 4709012
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 41}
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id: 4709013
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 43}
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id: 4709014
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 47}
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id: 4709015
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 53}
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id: 4709016
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 59}
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id: 4709017
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 61}
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id: 4709018
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 67}
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id: 4709019
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 71}
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id: 4709020
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 73}
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id: 4709021
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 79}
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id: 4709022
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 83}
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id: 4709023
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 89}
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id: 4709024
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 36028797052526680, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '8280.2.a.i', 'level': 8280, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 198897000
{'hecke_orbit_code': 36028797052526680, 'n': 1, 'trace_an': 1}
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id: 198897001
{'hecke_orbit_code': 36028797052526680, 'n': 2, 'trace_an': 0}
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id: 198897002
{'hecke_orbit_code': 36028797052526680, 'n': 3, 'trace_an': 0}
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id: 198897003
{'hecke_orbit_code': 36028797052526680, 'n': 4, 'trace_an': 0}
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id: 198897004
{'hecke_orbit_code': 36028797052526680, 'n': 5, 'trace_an': -1}
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id: 198897005
{'hecke_orbit_code': 36028797052526680, 'n': 6, 'trace_an': 0}
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id: 198897006
{'hecke_orbit_code': 36028797052526680, 'n': 7, 'trace_an': 1}
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id: 198897007
{'hecke_orbit_code': 36028797052526680, 'n': 8, 'trace_an': 0}
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id: 198897008
{'hecke_orbit_code': 36028797052526680, 'n': 9, 'trace_an': 0}
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id: 198897009
{'hecke_orbit_code': 36028797052526680, 'n': 10, 'trace_an': 0}
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id: 198897010
{'hecke_orbit_code': 36028797052526680, 'n': 11, 'trace_an': 0}
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id: 198897011
{'hecke_orbit_code': 36028797052526680, 'n': 12, 'trace_an': 0}
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id: 198897012
{'hecke_orbit_code': 36028797052526680, 'n': 13, 'trace_an': -4}
-
id: 198897013
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