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mf_newforms • Show schema
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{'Nk2': 3080, 'analytic_conductor': 6.14848095563859, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [7, -1], [11, -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': [770, 1, [617, 661, 211], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-2, -2, 1]], [13, [-8, -4, 1]], [17, [-12, 0, 1]], [19, [22, -10, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679889666, 'hecke_ring_generator_nbound': 3, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '770.2.a.j', 'level': 770, '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': True, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'minimal_twist': '770.2.a.j', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(1+\\beta )q^{3}+q^{4}-q^{5}+(1+\\beta )q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '770.2.a', 'trace_display': [2, 2, -2, 2], 'trace_hash': 174356358250700059, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.960', 'prec': 17}, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [0, 3, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 3, 3, 0], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [5, 8, 7, 9, 11, 6, 8, 5, 7, 7, 7, 9, 9, 6, 5, 7], 'Nk2': 3080, 'analytic_conductor': 6.14848095563859, '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': [770, 1, [617, 661, 211], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 137, 'dim': 21, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13, 17, 19], 'hecke_orbit_code': 33555202, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3], 'label': '770.2.a', 'level': 770, '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': True, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'mf_dim': 152, 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64, 50, -2, 80, 68, -76, 174, 14, 48, 0, -36, 34, 120, 54, -84, 176, -112, 8, -208, -42, 16, 4, 14, 96, 16, -2, -86, -48, 4, -22, -32, 52, 2, -50, 10, 4, 136, 8, -82, 88, -80, -20, -8, 28, 28, 32, 108, -4, -88, 2, 106, 86, -64, -104, -40, -160, -38, 4, 101, 116, 204, 18, -30, -16, -120, 1, 160, -6, 236, 44, -44, -24, 24, 30, 106, 112, -38, 1, -10, -164, -160, 88, 70, 28, 32, 88, 336, 13, -80, -48, -16, 24, 24, -16, -26, 132, -112, 1], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46777905
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679889666, 'source_is_minimal': True, 'source_label': '770.2.a.j.1.1', 'source_level': 770, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889666, 'target_is_minimal': True, 'target_label': '770.2.a.j.1.1', 'target_level': 770, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46777906
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679889666, 'source_is_minimal': True, 'source_label': '770.2.a.j.1.1', 'source_level': 770, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519974674, 'target_is_minimal': False, 'target_label': '6930.2.a.bv.1.2', 'target_level': 6930, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46777907
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679889666, 'source_is_minimal': True, 'source_label': '770.2.a.j.1.1', 'source_level': 770, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953600016, 'target_is_minimal': False, 'target_label': '6160.2.a.t.1.2', 'target_level': 6160, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46777908
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679889666, 'source_is_minimal': True, 'source_label': '770.2.a.j.1.1', 'source_level': 770, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 103582928902033162, 'target_is_minimal': False, 'target_label': '3850.2.c.x.1849.4', 'target_level': 3850, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46777909
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679889666, 'source_is_minimal': True, 'source_label': '770.2.a.j.1.1', 'source_level': 770, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582928902033162, 'target_is_minimal': False, 'target_label': '3850.2.c.x.1849.1', 'target_level': 3850, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46777910
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679889666, 'source_is_minimal': True, 'source_label': '770.2.a.j.1.1', 'source_level': 770, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227302666, 'target_is_minimal': False, 'target_label': '3850.2.a.bd.1.2', 'target_level': 3850, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46777911
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679889666, 'source_is_minimal': True, 'source_label': '770.2.a.j.1.1', 'source_level': 770, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637861646, 'target_is_minimal': False, 'target_label': '5390.2.a.bs.1.2', 'target_level': 5390, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46777912
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679889666, 'source_is_minimal': True, 'source_label': '770.2.a.j.1.1', 'source_level': 770, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010494230, 'target_is_minimal': False, 'target_label': '8470.2.a.br.1.1', 'target_level': 8470, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1307000
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 40532396679889666, 'p': 2}
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id: 1307001
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 3}
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id: 1307002
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 40532396679889666, 'p': 5}
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id: 1307003
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 40532396679889666, 'p': 7}
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id: 1307004
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 40532396679889666, 'p': 11}
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id: 1307005
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 13}
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id: 1307006
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 17}
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id: 1307007
{'charpoly_factorization': [[[22, -10, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 19}
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id: 1307008
{'charpoly_factorization': [[[-18, 6, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 23}
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id: 1307009
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 29}
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id: 1307010
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 40532396679889666, 'p': 31}
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id: 1307011
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 37}
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id: 1307012
{'charpoly_factorization': [[[-18, -6, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 41}
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id: 1307013
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 40532396679889666, 'p': 43}
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id: 1307014
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 47}
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id: 1307015
{'charpoly_factorization': [[[78, 18, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 53}
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id: 1307016
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 59}
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id: 1307017
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 61}
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id: 1307018
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 40532396679889666, 'p': 67}
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id: 1307019
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 71}
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id: 1307020
{'charpoly_factorization': [[[-92, 8, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 73}
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id: 1307021
{'charpoly_factorization': [[[22, 14, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 79}
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id: 1307022
{'charpoly_factorization': [[[-72, 12, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 83}
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id: 1307023
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 89}
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id: 1307024
{'charpoly_factorization': [[[-242, 2, 1], 1]], 'hecke_orbit_code': 40532396679889666, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '770.2.a.j', 'level': 770, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 52334503
{'hecke_orbit_code': 40532396679889666, 'n': 1, 'trace_an': 2}
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id: 52334504
{'hecke_orbit_code': 40532396679889666, 'n': 2, 'trace_an': 2}
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id: 52334505
{'hecke_orbit_code': 40532396679889666, 'n': 3, 'trace_an': 2}
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id: 52334506
{'hecke_orbit_code': 40532396679889666, 'n': 4, 'trace_an': 2}
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id: 52334507
{'hecke_orbit_code': 40532396679889666, 'n': 5, 'trace_an': -2}
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id: 52334508
{'hecke_orbit_code': 40532396679889666, 'n': 6, 'trace_an': 2}
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id: 52334509
{'hecke_orbit_code': 40532396679889666, 'n': 7, 'trace_an': 2}
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id: 52334510
{'hecke_orbit_code': 40532396679889666, 'n': 8, 'trace_an': 2}
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id: 52334511
{'hecke_orbit_code': 40532396679889666, 'n': 9, 'trace_an': 2}
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id: 52334512
{'hecke_orbit_code': 40532396679889666, 'n': 10, 'trace_an': -2}
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id: 52334513
{'hecke_orbit_code': 40532396679889666, 'n': 11, 'trace_an': 2}
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id: 52334514
{'hecke_orbit_code': 40532396679889666, 'n': 12, 'trace_an': 2}
-
id: 52334515
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