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{'Nk2': 34200, 'analytic_conductor': 68.27209372819473, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [19, -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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -1, 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, [-16, -16, 0, 1]], [11, [-16, 8, 8, 1]], [13, [-32, -16, 4, 1]], [17, [8, -20, -2, 1]], [23, [-16, 8, 8, 1]], [53, [6, 1]]], 'hecke_orbit': 69, 'hecke_orbit_code': 306244774694756710, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '8550.2.a.cq', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.d.c', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-\\beta _{2}q^{7}+q^{8}+(-3-\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [3, 0, 0, 0], 'trace_hash': 1142942656524583477, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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69, 'hecke_orbit_code': 306244774694756710, 'label': '8550.2.a.cq.1.3', 'level': 8550, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 9, 4], [[[2, -1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, -1], [5, -1], [19, 1]], 10, 6], [[[2, 1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [19, -1]], 12, 5], [[[2, 1], [3, -1], [5, 1], [19, -1]], 8, 7], [[[2, -1], [3, -1], [5, 1], [19, -1]], 13, 10], [[[2, 1], [3, -1], [5, 1], [19, 1]], 12, 8], [[[2, -1], [3, -1], [5, -1], [19, 1]], 13, 7], [[[2, -1], [3, -1], [5, 1], [19, 1]], 8, 7]], 'ALdims': [7, 6, 7, 9, 12, 8, 10, 12, 7, 6, 7, 9, 8, 13, 13, 9], 'Nk2': 34200, 'analytic_conductor': 68.27209372819473, '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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1753, 'dim': 143, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 53], 'hecke_orbit_code': 33562982, '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, 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, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '8550.2.a', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 1848, 'mf_new_dim': 143, 'num_forms': 76, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 3600, 'trace_bound': 23, 'trace_display': [1, 0, 0, -2], 'traces': [143, 1, 0, 143, 0, 0, -2, 1, 0, 0, -12, 0, -2, -4, 0, 143, 4, 0, 1, 0, 0, -4, 6, 0, 0, -12, 0, -2, -18, 0, 12, 1, 0, -22, 0, 0, 34, 3, 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mf_twists_cc • Show schema
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id: 49128154
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 306244774694756710, 'source_is_minimal': False, 'source_label': '8550.2.a.cq.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 306244774694756710, 'target_is_minimal': False, 'target_label': '8550.2.a.cq.1.3', 'target_level': 8550, 'twist_class_label': '570.2.d.c.229.3', 'twist_class_level': 570, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49128155
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 306244774694756710, 'source_is_minimal': False, 'source_label': '8550.2.a.cq.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 166633186246265634, 'target_is_minimal': False, 'target_label': '2850.2.a.bl.1.3', 'target_level': 2850, 'twist_class_label': '570.2.d.c.229.3', 'twist_class_level': 570, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49128156
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 306244774694756710, 'source_is_minimal': False, 'source_label': '8550.2.a.cq.1.3', 'source_level': 8550, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518204328838830, 'target_is_minimal': False, 'target_label': '1710.2.d.f.1369.4', 'target_level': 1710, 'twist_class_label': '570.2.d.c.229.3', 'twist_class_level': 570, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49128157
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 306244774694756710, 'source_is_minimal': False, 'source_label': '8550.2.a.cq.1.3', 'source_level': 8550, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838830, 'target_is_minimal': False, 'target_label': '1710.2.d.f.1369.1', 'target_level': 1710, 'twist_class_label': '570.2.d.c.229.3', 'twist_class_level': 570, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49128158
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 306244774694756710, 'source_is_minimal': False, 'source_label': '8550.2.a.cq.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 252201579166310758, 'target_is_minimal': False, 'target_label': '8550.2.a.ce.1.1', 'target_level': 8550, 'twist_class_label': '570.2.d.c.229.3', 'twist_class_level': 570, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49128159
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 306244774694756710, 'source_is_minimal': False, 'source_label': '8550.2.a.cq.1.3', 'source_level': 8550, 'target_conrey_index': 229, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007405446726202, 'target_is_minimal': True, 'target_label': '570.2.d.c.229.3', 'target_level': 570, 'twist_class_label': '570.2.d.c.229.3', 'twist_class_level': 570, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49128160
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 306244774694756710, 'source_is_minimal': False, 'source_label': '8550.2.a.cq.1.3', 'source_level': 8550, 'target_conrey_index': 229, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007405446726202, 'target_is_minimal': True, 'target_label': '570.2.d.c.229.6', 'target_level': 570, 'twist_class_label': '570.2.d.c.229.3', 'twist_class_level': 570, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49128161
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 306244774694756710, 'source_is_minimal': False, 'source_label': '8550.2.a.cq.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873636130, 'target_is_minimal': False, 'target_label': '2850.2.a.bm.1.1', 'target_level': 2850, 'twist_class_label': '570.2.d.c.229.3', 'twist_class_level': 570, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4786775
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 306244774694756710, 'p': 2}
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id: 4786776
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 306244774694756710, 'p': 3}
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id: 4786777
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 306244774694756710, 'p': 5}
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id: 4786778
{'charpoly_factorization': [[[-16, -16, 0, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 7}
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id: 4786779
{'charpoly_factorization': [[[-16, 8, 8, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 11}
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id: 4786780
{'charpoly_factorization': [[[-32, -16, 4, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 13}
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id: 4786781
{'charpoly_factorization': [[[8, -20, -2, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 17}
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id: 4786782
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 306244774694756710, 'p': 19}
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id: 4786783
{'charpoly_factorization': [[[-16, 8, 8, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 23}
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id: 4786784
{'charpoly_factorization': [[[-8, 20, 10, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 29}
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id: 4786785
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 31}
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id: 4786786
{'charpoly_factorization': [[[-32, -16, 4, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 37}
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id: 4786787
{'charpoly_factorization': [[[-400, -80, 4, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 41}
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id: 4786788
{'charpoly_factorization': [[[760, -124, -6, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 43}
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id: 4786789
{'charpoly_factorization': [[[16, 8, -8, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 47}
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id: 4786790
{'charpoly_factorization': [[[6, 1], 3]], 'hecke_orbit_code': 306244774694756710, 'p': 53}
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id: 4786791
{'charpoly_factorization': [[[-8, -4, 10, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 59}
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id: 4786792
{'charpoly_factorization': [[[152, 12, -14, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 61}
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id: 4786793
{'charpoly_factorization': [[[-320, 48, 20, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 67}
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id: 4786794
{'charpoly_factorization': [[[-320, 48, 20, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 71}
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id: 4786795
{'charpoly_factorization': [[[-256, -64, 8, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 73}
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id: 4786796
{'charpoly_factorization': [[[-16, -16, 0, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 79}
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id: 4786797
{'charpoly_factorization': [[[-160, -176, 4, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 83}
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id: 4786798
{'charpoly_factorization': [[[400, 176, 24, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 89}
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id: 4786799
{'charpoly_factorization': [[[296, 148, 22, 1], 1]], 'hecke_orbit_code': 306244774694756710, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 69, 'label': '8550.2.a.cq', 'level': 8550, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 280304000
{'hecke_orbit_code': 306244774694756710, 'n': 1, 'trace_an': 3}
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id: 280304001
{'hecke_orbit_code': 306244774694756710, 'n': 2, 'trace_an': 3}
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id: 280304002
{'hecke_orbit_code': 306244774694756710, 'n': 3, 'trace_an': 0}
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id: 280304003
{'hecke_orbit_code': 306244774694756710, 'n': 4, 'trace_an': 3}
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id: 280304004
{'hecke_orbit_code': 306244774694756710, 'n': 5, 'trace_an': 0}
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id: 280304005
{'hecke_orbit_code': 306244774694756710, 'n': 6, 'trace_an': 0}
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id: 280304006
{'hecke_orbit_code': 306244774694756710, 'n': 7, 'trace_an': 0}
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id: 280304007
{'hecke_orbit_code': 306244774694756710, 'n': 8, 'trace_an': 3}
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id: 280304008
{'hecke_orbit_code': 306244774694756710, 'n': 9, 'trace_an': 0}
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id: 280304009
{'hecke_orbit_code': 306244774694756710, 'n': 10, 'trace_an': 0}
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id: 280304010
{'hecke_orbit_code': 306244774694756710, 'n': 11, 'trace_an': -8}
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id: 280304011
{'hecke_orbit_code': 306244774694756710, 'n': 12, 'trace_an': 0}
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id: 280304012
{'hecke_orbit_code': 306244774694756710, 'n': 13, 'trace_an': -4}
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id: 280304013
{'hecke_orbit_code': 306244774694756710, 'n': 14, 'trace_an': 0}
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id: 280304014
{'hecke_orbit_code': 306244774694756710, 'n': 15, 'trace_an': 0}
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id: 280304015
{'hecke_orbit_code': 306244774694756710, 'n': 16, 'trace_an': 3}
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id: 280304016
{'hecke_orbit_code': 306244774694756710, 'n': 17, 'trace_an': 2}
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id: 280304017
{'hecke_orbit_code': 306244774694756710, 'n': 18, 'trace_an': 0}
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id: 280304018
{'hecke_orbit_code': 306244774694756710, 'n': 19, 'trace_an': 3}
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