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{'Nk2': 15288, 'analytic_conductor': 30.518823652533364, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [13, -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': [3822, 1, [2549, 3433, 1471], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 57, 'field_disc_factorization': [[3, 1], [19, 1]], 'field_poly': [-14, -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': [[5, [-14, -1, 1]], [11, [-12, -3, 1]], [17, [-2, -7, 1]], [29, [6, -9, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873637102, 'hecke_ring_generator_nbound': 5, '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': '3822.2.a.bm', 'level': 3822, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.a.h', 'nf_label': '2.2.57.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+\\beta q^{5}-q^{6}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3822.2.a', 'trace_display': [-2, 2, 1, 0], 'trace_hash': 890810253261089907, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.932', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.097', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.337', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.610', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.648', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [2, -2, 2, 2, 1, -2, 0, -2, 2, -1, 3, 2, 2, 0, 1, 2, 7, -2, -3, 1, 0, -3, -3, -2, 19, -2, 2, 0, 9, -1, -16, -2, 3, -7, 0, 2, -1, 3, 2, -1, 2, 0, 3, 3, 1, 3, 0, 2, 0, -19, 7, 2, 20, -2, -27, 0, -3, -9, -16, 1, 17, 16, 0, 2, 1, -3, 10, 7, -3, 0, 0, -2, 3, 1, 19, -3, 0, -2, 10, 1, 2, -2, -6, 0, -25, -3, 9, -3, 28, -1, 0, -3, -16, 0, 27, -2, 0, 0, 3, 19, 10, -7, -13, -2, 0, -20, -14, 2, -7, 27, -1, 0, -12, 3, 27, 9, 2, 16, 0, -1, 11, -17, 2, -16, 33, 0, -26, -2, 3, -1, 9, 3, 0, -10, 1, -7, 3, 3, -8, 0, 0, 0, 3, 2, 33, -3, 0, -1, 30, -19, 5, 3, 7, 0, -8, 2, -11, -10, 20, -1, 0, -2, 10, 2, -27, 6, 11, 0, 2, 25, -3, 3, 16, -9, 0, 3, -16, -28, 24, 1, -8, 0, 17, 3, -29, 16, 39, 0, 0, -27, -3, 2, -22, 0, 1, 0, 10, -3, 9, -19, 10, -10, 0, 7, -56, 13, -3, 2, 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'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -3.274917217635375, 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873637102, 'label': '3822.2.a.bm.1.1', 'level': 3822, 'weight': 2}
-
mf_newspaces • Show schema
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'char_values': [3822, 1, [2549, 3433, 1471], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 753, 'dim': 82, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17, 29], 'hecke_orbit_code': 33558254, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4], 'label': '3822.2.a', 'level': 3822, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 816, 'mf_new_dim': 82, 'num_forms': 53, 'plus_dim': 34, 'prim_orbit_index': 1, 'relative_dim': 82, 'sturm_bound': 1568, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [82, 0, 0, 82, -8, -2, 0, 0, 82, -4, -8, 0, -2, 0, -4, 82, -4, 0, 4, -8, 0, -16, -8, -2, 54, 0, 0, 0, -20, -8, -12, 0, 0, -16, 0, 82, 4, -12, 0, -4, 0, 0, -16, -8, -8, 8, 8, 0, 0, 0, 0, -2, -12, -2, 0, 0, 12, 0, -32, -4, 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mf_twists_cc • Show schema
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id: 48903774
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873637102, 'source_is_minimal': False, 'source_label': '3822.2.a.bm.1.1', 'source_level': 3822, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873637102, 'target_is_minimal': False, 'target_label': '3822.2.a.bm.1.1', 'target_level': 3822, 'twist_class_label': '546.2.a.h.1.2', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48903775
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873637102, 'source_is_minimal': False, 'source_label': '3822.2.a.bm.1.1', 'source_level': 3822, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425148450, 'target_is_minimal': True, 'target_label': '546.2.a.h.1.2', 'target_level': 546, 'twist_class_label': '546.2.a.h.1.2', 'twist_class_level': 546, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48903776
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873637102, 'source_is_minimal': False, 'source_label': '3822.2.a.bm.1.1', 'source_level': 3822, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090447974, 'target_is_minimal': False, 'target_label': '1638.2.a.y.1.1', 'target_level': 1638, 'twist_class_label': '546.2.a.h.1.2', 'twist_class_level': 546, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48903777
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873637102, 'source_is_minimal': False, 'source_label': '3822.2.a.bm.1.1', 'source_level': 3822, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736785168, 'target_is_minimal': False, 'target_label': '4368.2.a.bh.1.2', 'target_level': 4368, 'twist_class_label': '546.2.a.h.1.2', 'twist_class_level': 546, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48903778
{'conductor': 91, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873637102, 'source_is_minimal': False, 'source_label': '3822.2.a.bm.1.1', 'source_level': 3822, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 207165582892604346, 'target_is_minimal': False, 'target_label': '7098.2.a.bu.1.1', 'target_level': 7098, 'twist_class_label': '546.2.a.h.1.2', 'twist_class_level': 546, 'twisting_char_label': '91.90', 'twisting_conrey_index': 90, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3378950
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 2}
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id: 3378951
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 3}
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id: 3378952
{'charpoly_factorization': [[[-14, -1, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 5}
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id: 3378953
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 7}
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id: 3378954
{'charpoly_factorization': [[[-12, -3, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 11}
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id: 3378955
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 13}
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id: 3378956
{'charpoly_factorization': [[[-2, -7, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 17}
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id: 3378957
{'charpoly_factorization': [[[-12, 3, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 19}
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id: 3378958
{'charpoly_factorization': [[[-12, 3, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 23}
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id: 3378959
{'charpoly_factorization': [[[6, -9, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 29}
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id: 3378960
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 31}
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id: 3378961
{'charpoly_factorization': [[[-14, 1, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 37}
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id: 3378962
{'charpoly_factorization': [[[-56, -2, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 41}
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id: 3378963
{'charpoly_factorization': [[[-12, -3, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 43}
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id: 3378964
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 47}
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id: 3378965
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 53}
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id: 3378966
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 59}
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id: 3378967
{'charpoly_factorization': [[[58, -17, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 61}
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id: 3378968
{'charpoly_factorization': [[[-32, -10, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 67}
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id: 3378969
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 71}
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id: 3378970
{'charpoly_factorization': [[[-126, -3, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 73}
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id: 3378971
{'charpoly_factorization': [[[-32, -10, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 79}
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id: 3378972
{'charpoly_factorization': [[[-48, 6, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 83}
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id: 3378973
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 171136785873637102, 'p': 89}
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id: 3378974
{'charpoly_factorization': [[[-228, 0, 1], 1]], 'hecke_orbit_code': 171136785873637102, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '3822.2.a.bm', 'level': 3822, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 272277000
{'hecke_orbit_code': 171136785873637102, 'n': 1, 'trace_an': 2}
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id: 272277001
{'hecke_orbit_code': 171136785873637102, 'n': 2, 'trace_an': -2}
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id: 272277002
{'hecke_orbit_code': 171136785873637102, 'n': 3, 'trace_an': 2}
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id: 272277003
{'hecke_orbit_code': 171136785873637102, 'n': 4, 'trace_an': 2}
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id: 272277004
{'hecke_orbit_code': 171136785873637102, 'n': 5, 'trace_an': 1}
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id: 272277005
{'hecke_orbit_code': 171136785873637102, 'n': 6, 'trace_an': -2}
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id: 272277006
{'hecke_orbit_code': 171136785873637102, 'n': 7, 'trace_an': 0}
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id: 272277007
{'hecke_orbit_code': 171136785873637102, 'n': 8, 'trace_an': -2}
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id: 272277008
{'hecke_orbit_code': 171136785873637102, 'n': 9, 'trace_an': 2}
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id: 272277009
{'hecke_orbit_code': 171136785873637102, 'n': 10, 'trace_an': -1}
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id: 272277010
{'hecke_orbit_code': 171136785873637102, 'n': 11, 'trace_an': 3}
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id: 272277011
{'hecke_orbit_code': 171136785873637102, 'n': 12, 'trace_an': 2}
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id: 272277012
{'hecke_orbit_code': 171136785873637102, 'n': 13, 'trace_an': 2}
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id: 272277013
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id: 272277999
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