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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': 41, 'field_disc_factorization': [[41, 1]], 'field_poly': [-10, -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, [-10, -1, 1]], [11, [-4, -5, 1]], [17, [-10, 1, 1]], [29, [-10, 1, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265230574, '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.bt', '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.i', 'nf_label': '2.2.41.1', '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': 477975951017602592, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.553', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.341', 'prec': 17}, {'__RealLiteral__': 0, 'data': '67.658', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 5, 2, -2, 0, 1, 2, -1, 2, -5, 1, 0, 5, 3, 2, 11, -2, 2, 0, -1, 1, 0, 2, 5, -1, 0, 2, 15, -5, -2, 1, 6, 0, -1, 5, 1, 3, 16, 2, 0, 11, -1, -2, -4, 2, 23, 0, -5, -1, 4, 1, -9, 0, 0, 2, -1, 5, -2, -1, 3, 0, -16, 2, 9, 15, 11, -5, 0, -2, 6, 1, 2, 6, 14, 0, -21, -1, -1, 5, -8, 1, 0, 3, 0, 16, -23, 2, -8, 0, 5, 11, -6, -1, 13, -2, 0, -4, 2, 2, 25, 23, 15, 0, -16, -5, -19, -1, -2, 4, 0, 1, 11, -9, 6, 0, 21, 0, -26, 2, -1, -1, 21, 5, 0, -2, 1, -1, -31, 3, 12, 0, 16, -16, -5, 2, -21, 9, 0, 15, 18, 11, -3, -5, -1, 0, 0, -2, -21, 6, -4, 1, 0, 2, -2, 6, 23, 14, -13, 0, 2, -21, -5, -1, 36, -1, 0, 5, 4, -8, 4, 1, 8, 0, -9, 3, -13, 0, -23, 16, 0, -23, 19, 2, 10, -8, -1, 0, 6, 5, -25, 11, -2, -6, 0, -1, 44, 13, 3, -2, -33, 0, -43, -4, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, 1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, -1], [7, 1], [13, 1]], 5, 2], [[[2, 1], [3, 1], [7, 1], [13, 1]], 4, 3], [[[2, -1], [3, 1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 6], [[[2, 1], [3, -1], [7, -1], [13, -1]], 6, 5], [[[2, -1], [3, -1], [7, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, -1], [13, 1]], 6, 5], [[[2, -1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 4, 3], [[[2, 1], [3, 1], [7, 1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 5, 2]], 'ALdims': [4, 7, 6, 3, 5, 4, 6, 6, 5, 4, 6, 6, 4, 7, 6, 3], 'Nk2': 15288, 'analytic_conductor': 30.518823652533364, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 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232, -144, -96, 292, -208, 0, 0, -32, -256, 16, -144, -124, -32, 0, 4, -96, 72, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1155141
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '3822.2.a.bt', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '546.2.a.i', 'target_level': 546, 'twist_class_label': '546.2.a.i', 'twist_class_level': 546, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155142
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '3822.2.a.bt', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1638.2.a.w', 'target_level': 1638, 'twist_class_label': '546.2.a.i', 'twist_class_level': 546, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1155143
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '3822.2.a.bt', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '3822.2.a.bt', 'target_level': 3822, 'twist_class_label': '546.2.a.i', 'twist_class_level': 546, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1155144
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '3822.2.a.bt', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '4368.2.a.bg', 'target_level': 4368, 'twist_class_label': '546.2.a.i', 'twist_class_level': 546, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1155145
{'conductor': 91, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '3822.2.a.bt', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '7098.2.a.bh', 'target_level': 7098, 'twist_class_label': '546.2.a.i', 'twist_class_level': 546, 'twisting_char_label': '91.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3251400
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 202661983265230574, 'p': 2}
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id: 3251401
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 202661983265230574, 'p': 3}
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id: 3251402
{'charpoly_factorization': [[[-10, -1, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 5}
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id: 3251403
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 202661983265230574, 'p': 7}
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id: 3251404
{'charpoly_factorization': [[[-4, -5, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 11}
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id: 3251405
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 202661983265230574, 'p': 13}
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id: 3251406
{'charpoly_factorization': [[[-10, 1, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 17}
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id: 3251407
{'charpoly_factorization': [[[-4, 5, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 19}
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id: 3251408
{'charpoly_factorization': [[[-8, -3, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 23}
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id: 3251409
{'charpoly_factorization': [[[-10, 1, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 29}
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id: 3251410
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 202661983265230574, 'p': 31}
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id: 3251411
{'charpoly_factorization': [[[46, -15, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 37}
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id: 3251412
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 41}
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id: 3251413
{'charpoly_factorization': [[[-92, 1, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 43}
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id: 3251414
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 202661983265230574, 'p': 47}
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id: 3251415
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 202661983265230574, 'p': 53}
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id: 3251416
{'charpoly_factorization': [[[-160, -4, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 59}
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id: 3251417
{'charpoly_factorization': [[[10, 9, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 61}
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id: 3251418
{'charpoly_factorization': [[[-40, 2, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 67}
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id: 3251419
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 202661983265230574, 'p': 71}
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id: 3251420
{'charpoly_factorization': [[[10, -9, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 73}
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id: 3251421
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 79}
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id: 3251422
{'charpoly_factorization': [[[8, -14, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 83}
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id: 3251423
{'charpoly_factorization': [[[-148, 8, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 89}
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id: 3251424
{'charpoly_factorization': [[[-148, 8, 1], 1]], 'hecke_orbit_code': 202661983265230574, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '3822.2.a.bt', '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: 275748000
{'hecke_orbit_code': 202661983265230574, 'n': 1, 'trace_an': 2}
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id: 275748001
{'hecke_orbit_code': 202661983265230574, 'n': 2, 'trace_an': 2}
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id: 275748002
{'hecke_orbit_code': 202661983265230574, 'n': 3, 'trace_an': 2}
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id: 275748003
{'hecke_orbit_code': 202661983265230574, 'n': 4, 'trace_an': 2}
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id: 275748004
{'hecke_orbit_code': 202661983265230574, 'n': 5, 'trace_an': 1}
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id: 275748005
{'hecke_orbit_code': 202661983265230574, 'n': 6, 'trace_an': 2}
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id: 275748006
{'hecke_orbit_code': 202661983265230574, 'n': 7, 'trace_an': 0}
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id: 275748007
{'hecke_orbit_code': 202661983265230574, 'n': 8, 'trace_an': 2}
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id: 275748008
{'hecke_orbit_code': 202661983265230574, 'n': 9, 'trace_an': 2}
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id: 275748009
{'hecke_orbit_code': 202661983265230574, 'n': 10, 'trace_an': 1}
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id: 275748010
{'hecke_orbit_code': 202661983265230574, 'n': 11, 'trace_an': 5}
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id: 275748011
{'hecke_orbit_code': 202661983265230574, 'n': 12, 'trace_an': 2}
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id: 275748012
{'hecke_orbit_code': 202661983265230574, 'n': 13, 'trace_an': -2}
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id: 275748013
{'hecke_orbit_code': 202661983265230574, 'n': 14, 'trace_an': 0}
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id: 275748014
{'hecke_orbit_code': 202661983265230574, 'n': 15, 'trace_an': 1}
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id: 275748015
{'hecke_orbit_code': 202661983265230574, 'n': 16, 'trace_an': 2}
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id: 275748016
{'hecke_orbit_code': 202661983265230574, 'n': 17, 'trace_an': -1}
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id: 275748017
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{'hecke_orbit_code': 202661983265230574, 'n': 995, 'trace_an': 49}
-
id: 275748995
{'hecke_orbit_code': 202661983265230574, 'n': 996, 'trace_an': 14}
-
id: 275748996
{'hecke_orbit_code': 202661983265230574, 'n': 997, 'trace_an': 0}
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id: 275748997
{'hecke_orbit_code': 202661983265230574, 'n': 998, 'trace_an': -28}
-
id: 275748998
{'hecke_orbit_code': 202661983265230574, 'n': 999, 'trace_an': 15}
-
id: 275748999
{'hecke_orbit_code': 202661983265230574, 'n': 1000, 'trace_an': 21}