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{'Nk2': 5800, 'analytic_conductor': 11.578308293085655, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [29, -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': [1450, 1, [1277, 901], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 316, 'field_disc_factorization': [[2, 2], [79, 1]], 'field_poly': [2, -4, -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': [[3, [-2, -4, 1, 1]], [7, [32, -14, -2, 1]], [13, [8, -6, -2, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224810, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1450.2.a.s', 'level': 1450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 29], 'level_radical': 290, 'minimal_twist': '1450.2.a.q', 'nf_label': '3.3.316.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{1}q^{6}+(1-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1450.2.a', 'trace_display': [3, -1, 0, 2], 'trace_hash': 1582172429012221591, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.809', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.456', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.588', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.975', 'prec': 17}, {'__RealLiteral__': 0, 'data': '250.497', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [3, 3, -1, 3, 0, -1, 2, 3, 0, 0, 5, -1, 2, 2, 0, 3, 7, 0, -1, 0, 12, 5, -8, -1, 0, 2, -1, 2, 3, 0, 4, 3, -15, 7, 0, 0, 14, -1, 4, 0, 17, 12, -4, 5, 0, -8, 12, -1, 11, 0, 11, 2, -6, -1, 0, 2, 9, 3, 16, 0, 2, 4, -18, 3, 0, -15, 1, 7, 6, 0, 8, 0, -13, 14, 0, -1, -4, 4, 0, 0, -13, 17, -11, 12, 0, -4, -1, 5, 11, 0, -4, -8, -24, 12, 0, -1, 24, 11, -6, 0, 8, 11, 6, 2, 0, -6, -9, -1, -6, 0, -4, 2, -25, 9, 0, 3, 10, 16, 12, 0, 8, 2, -5, 4, 0, -18, -22, 3, -24, 0, 22, -15, 12, 1, 0, 7, -17, 6, 15, 0, -16, 8, -16, 0, 0, -13, -21, 14, 6, 0, -34, -1, 6, -4, 0, 4, -22, 0, 16, 0, 36, -13, -19, 17, 0, -11, -22, 12, -23, 0, -4, -4, 14, -1, 0, 5, -6, 11, 3, 0, 2, -4, -44, -8, 0, -24, -21, 12, -8, 0, 12, -1, -11, 24, 0, 11, 16, -6, 14, 0, 3, 8, 2, 11, 0, 6, -38, 2, -15, 0, -17, -6, -6, 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [29, -1]], 8, 2], [[[2, 1], [5, 1], [29, -1]], 6, 2], [[[2, -1], [5, 1], [29, 1]], 6, 4], [[[2, 1], [5, -1], [29, 1]], 4, 2], [[[2, -1], [5, 1], [29, -1]], 3, 2], [[[2, 1], [5, 1], [29, 1]], 6, 4], [[[2, 1], [5, -1], [29, -1]], 6, 2], [[[2, -1], [5, -1], [29, 1]], 4, 3]], 'ALdims': [6, 6, 4, 6, 6, 3, 4, 8], 'Nk2': 5800, 'analytic_conductor': 11.578308293085655, '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': [1450, 1, [1277, 901], [1, 1]], 'conrey_index': 1, 'cusp_dim': 213, 'dim': 43, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33555882, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5], 'label': '1450.2.a', 'level': 1450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 29], 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mf_twists_cc • Show schema
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id: 48171106
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224810, 'source_is_minimal': True, 'source_label': '1450.2.a.s.1.3', 'source_level': 1450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326224810, 'target_is_minimal': True, 'target_label': '1450.2.a.s.1.3', 'target_level': 1450, 'twist_class_label': '1450.2.a.q.1.1', 'twist_class_level': 1450, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48171107
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224810, 'source_is_minimal': True, 'source_label': '1450.2.a.s.1.3', 'source_level': 1450, 'target_conrey_index': 349, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036065026737578, 'target_is_minimal': False, 'target_label': '1450.2.b.k.349.4', 'target_level': 1450, 'twist_class_label': '1450.2.a.q.1.1', 'twist_class_level': 1450, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48171108
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224810, 'source_is_minimal': True, 'source_label': '1450.2.a.s.1.3', 'source_level': 1450, 'target_conrey_index': 349, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036065026737578, 'target_is_minimal': False, 'target_label': '1450.2.b.k.349.3', 'target_level': 1450, 'twist_class_label': '1450.2.a.q.1.1', 'twist_class_level': 1450, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48171109
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224810, 'source_is_minimal': True, 'source_label': '1450.2.a.s.1.3', 'source_level': 1450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071483818, 'target_is_minimal': True, 'target_label': '1450.2.a.q.1.1', 'target_level': 1450, 'twist_class_label': '1450.2.a.q.1.1', 'twist_class_level': 1450, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1958175
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 81064793326224810, 'p': 2}
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id: 1958176
{'charpoly_factorization': [[[-2, -4, 1, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 3}
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id: 1958177
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 81064793326224810, 'p': 5}
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id: 1958178
{'charpoly_factorization': [[[32, -14, -2, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 7}
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id: 1958179
{'charpoly_factorization': [[[44, -8, -5, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 11}
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id: 1958180
{'charpoly_factorization': [[[8, -6, -2, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 13}
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id: 1958181
{'charpoly_factorization': [[[4, 0, -7, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 17}
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id: 1958182
{'charpoly_factorization': [[[-2, -4, 1, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 19}
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id: 1958183
{'charpoly_factorization': [[[-268, -34, 8, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 23}
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id: 1958184
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 81064793326224810, 'p': 29}
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id: 1958185
{'charpoly_factorization': [[[158, -79, -4, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 31}
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id: 1958186
{'charpoly_factorization': [[[58, 41, -14, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 37}
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id: 1958187
{'charpoly_factorization': [[[2, 72, -17, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 41}
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id: 1958188
{'charpoly_factorization': [[[-256, -56, 4, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 43}
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id: 1958189
{'charpoly_factorization': [[[242, -15, -12, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 47}
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id: 1958190
{'charpoly_factorization': [[[-32, -54, 6, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 53}
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id: 1958191
{'charpoly_factorization': [[[-68, 61, -16, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 59}
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id: 1958192
{'charpoly_factorization': [[[146, -107, -2, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 61}
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id: 1958193
{'charpoly_factorization': [[[-121, -55, -1, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 67}
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id: 1958194
{'charpoly_factorization': [[[268, -34, -8, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 71}
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id: 1958195
{'charpoly_factorization': [[[-314, -52, 13, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 73}
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id: 1958196
{'charpoly_factorization': [[[-432, -252, 0, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 79}
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id: 1958197
{'charpoly_factorization': [[[-212, -44, 11, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 83}
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id: 1958198
{'charpoly_factorization': [[[158, 0, -11, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 89}
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id: 1958199
{'charpoly_factorization': [[[-164, 158, -24, 1], 1]], 'hecke_orbit_code': 81064793326224810, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1450.2.a.s', 'level': 1450, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 243709000
{'hecke_orbit_code': 81064793326224810, 'n': 1, 'trace_an': 3}
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id: 243709001
{'hecke_orbit_code': 81064793326224810, 'n': 2, 'trace_an': 3}
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id: 243709002
{'hecke_orbit_code': 81064793326224810, 'n': 3, 'trace_an': -1}
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id: 243709003
{'hecke_orbit_code': 81064793326224810, 'n': 4, 'trace_an': 3}
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id: 243709004
{'hecke_orbit_code': 81064793326224810, 'n': 5, 'trace_an': 0}
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id: 243709005
{'hecke_orbit_code': 81064793326224810, 'n': 6, 'trace_an': -1}
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id: 243709006
{'hecke_orbit_code': 81064793326224810, 'n': 7, 'trace_an': 2}
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id: 243709007
{'hecke_orbit_code': 81064793326224810, 'n': 8, 'trace_an': 3}
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id: 243709008
{'hecke_orbit_code': 81064793326224810, 'n': 9, 'trace_an': 0}
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id: 243709009
{'hecke_orbit_code': 81064793326224810, 'n': 10, 'trace_an': 0}
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id: 243709010
{'hecke_orbit_code': 81064793326224810, 'n': 11, 'trace_an': 5}
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id: 243709011
{'hecke_orbit_code': 81064793326224810, 'n': 12, 'trace_an': -1}
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id: 243709012
{'hecke_orbit_code': 81064793326224810, 'n': 13, 'trace_an': 2}
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id: 243709013
{'hecke_orbit_code': 81064793326224810, 'n': 14, 'trace_an': 2}
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id: 243709014
{'hecke_orbit_code': 81064793326224810, 'n': 15, 'trace_an': 0}
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id: 243709015
{'hecke_orbit_code': 81064793326224810, 'n': 16, 'trace_an': 3}
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id: 243709016
{'hecke_orbit_code': 81064793326224810, 'n': 17, 'trace_an': 7}
-
id: 243709017
{'hecke_orbit_code': 81064793326224810, 'n': 18, 'trace_an': 0}
-
id: 243709018
{'hecke_orbit_code': 81064793326224810, 'n': 19, 'trace_an': -1}
-
id: 243709019
{'hecke_orbit_code': 81064793326224810, 'n': 20, 'trace_an': 0}
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