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{'Nk2': 8112, 'analytic_conductor': 29.913968372910492, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [507, 1, [170, 340], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[2, [-1, 1]], [5, [7, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798949220859, 'hecke_ring_generator_nbound': 1, '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': '507.4.a.d', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.4.e.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+3q^{3}-7q^{4}-7q^{5}+3q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.4.a', 'trace_display': [1, 3, -7, 10], 'trace_hash': 174824356080917566, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.960', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.917', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.801', 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [13, -1]], 23, 3], [[[3, -1], [13, 1]], 16, 6], [[[3, 1], [13, -1]], 19, 4], [[[3, 1], [13, 1]], 20, 5]], 'ALdims': [20, 19, 16, 23], 'Nk2': 8112, 'analytic_conductor': 29.913968372910492, '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': [507, 1, [170, 340], [1, 1]], 'conrey_index': 1, 'cusp_dim': 168, 'dim': 78, 'eis_dim': 28, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 67109371, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4, 9, 9, 9, 9, 10], 'label': '507.4.a', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 196, 'mf_new_dim': 78, 'num_forms': 18, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 78, 'sturm_bound': 242, 'trace_bound': 4, 'trace_display': [-4, 0, -16, -32], 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mf_twists_nf • Show schema
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id: 359543
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.4.a.d', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '39.4.e.b', 'target_level': 39, 'twist_class_label': '39.4.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 359544
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.4.a.d', 'source_level': 507, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.4.g.a', 'target_level': 117, 'twist_class_label': '39.4.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 359545
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.4.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '507.4.a.b', 'target_level': 507, 'twist_class_label': '39.4.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 359546
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.4.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '507.4.a.d', 'target_level': 507, 'twist_class_label': '39.4.e.b', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 359547
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.4.a.d', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '507.4.b.d', 'target_level': 507, 'twist_class_label': '39.4.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 359548
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.4.a.d', 'source_level': 507, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '624.4.q.c', 'target_level': 624, 'twist_class_label': '39.4.e.b', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 359549
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.4.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1521.4.a.e', 'target_level': 1521, 'twist_class_label': '39.4.e.b', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 359550
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.4.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1521.4.a.h', 'target_level': 1521, 'twist_class_label': '39.4.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 981525
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 2}
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id: 981526
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 3}
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id: 981527
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 5}
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id: 981528
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 7}
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id: 981529
{'charpoly_factorization': [[[-22, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 11}
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id: 981530
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 13}
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id: 981531
{'charpoly_factorization': [[[-37, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 17}
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id: 981532
{'charpoly_factorization': [[[30, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 19}
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id: 981533
{'charpoly_factorization': [[[162, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 23}
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id: 981534
{'charpoly_factorization': [[[113, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 29}
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id: 981535
{'charpoly_factorization': [[[196, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 31}
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id: 981536
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 37}
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id: 981537
{'charpoly_factorization': [[[285, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 41}
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id: 981538
{'charpoly_factorization': [[[246, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 43}
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id: 981539
{'charpoly_factorization': [[[-462, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 47}
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id: 981540
{'charpoly_factorization': [[[537, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 53}
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id: 981541
{'charpoly_factorization': [[[576, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 59}
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id: 981542
{'charpoly_factorization': [[[635, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 61}
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id: 981543
{'charpoly_factorization': [[[202, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 67}
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id: 981544
{'charpoly_factorization': [[[-1086, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 71}
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id: 981545
{'charpoly_factorization': [[[-805, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 73}
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id: 981546
{'charpoly_factorization': [[[-884, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 79}
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id: 981547
{'charpoly_factorization': [[[518, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 83}
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id: 981548
{'charpoly_factorization': [[[194, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 89}
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id: 981549
{'charpoly_factorization': [[[-1202, 1], 1]], 'hecke_orbit_code': 13510798949220859, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '507.4.a.d', 'level': 507, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 134431000
{'hecke_orbit_code': 13510798949220859, 'n': 1, 'trace_an': 1}
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id: 134431001
{'hecke_orbit_code': 13510798949220859, 'n': 2, 'trace_an': 1}
-
id: 134431002
{'hecke_orbit_code': 13510798949220859, 'n': 3, 'trace_an': 3}
-
id: 134431003
{'hecke_orbit_code': 13510798949220859, 'n': 4, 'trace_an': -7}
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id: 134431004
{'hecke_orbit_code': 13510798949220859, 'n': 5, 'trace_an': -7}
-
id: 134431005
{'hecke_orbit_code': 13510798949220859, 'n': 6, 'trace_an': 3}
-
id: 134431006
{'hecke_orbit_code': 13510798949220859, 'n': 7, 'trace_an': 10}
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id: 134431007
{'hecke_orbit_code': 13510798949220859, 'n': 8, 'trace_an': -15}
-
id: 134431008
{'hecke_orbit_code': 13510798949220859, 'n': 9, 'trace_an': 9}
-
id: 134431009
{'hecke_orbit_code': 13510798949220859, 'n': 10, 'trace_an': -7}
-
id: 134431010
{'hecke_orbit_code': 13510798949220859, 'n': 11, 'trace_an': 22}
-
id: 134431011
{'hecke_orbit_code': 13510798949220859, 'n': 12, 'trace_an': -21}
-
id: 134431012
{'hecke_orbit_code': 13510798949220859, 'n': 13, 'trace_an': 0}
-
id: 134431013
{'hecke_orbit_code': 13510798949220859, 'n': 14, 'trace_an': 10}
-
id: 134431014
{'hecke_orbit_code': 13510798949220859, 'n': 15, 'trace_an': -21}
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id: 134431015
{'hecke_orbit_code': 13510798949220859, 'n': 16, 'trace_an': 41}
-
id: 134431016
{'hecke_orbit_code': 13510798949220859, 'n': 17, 'trace_an': 37}
-
id: 134431017
{'hecke_orbit_code': 13510798949220859, 'n': 18, 'trace_an': 9}
-
id: 134431018
{'hecke_orbit_code': 13510798949220859, 'n': 19, 'trace_an': -30}
-
id: 134431019
{'hecke_orbit_code': 13510798949220859, 'n': 20, 'trace_an': 49}
-
id: 134431020
{'hecke_orbit_code': 13510798949220859, 'n': 21, 'trace_an': 30}
-
id: 134431021
{'hecke_orbit_code': 13510798949220859, 'n': 22, 'trace_an': 22}
-
id: 134431022
{'hecke_orbit_code': 13510798949220859, 'n': 23, 'trace_an': -162}
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{'hecke_orbit_code': 13510798949220859, 'n': 986, 'trace_an': -4181}
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id: 134431986
{'hecke_orbit_code': 13510798949220859, 'n': 987, 'trace_an': 13860}
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id: 134431987
{'hecke_orbit_code': 13510798949220859, 'n': 988, 'trace_an': 0}
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id: 134431988
{'hecke_orbit_code': 13510798949220859, 'n': 989, 'trace_an': 39852}
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id: 134431989
{'hecke_orbit_code': 13510798949220859, 'n': 990, 'trace_an': -1386}
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id: 134431990
{'hecke_orbit_code': 13510798949220859, 'n': 991, 'trace_an': -39614}
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id: 134431991
{'hecke_orbit_code': 13510798949220859, 'n': 992, 'trace_an': -31556}
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id: 134431992
{'hecke_orbit_code': 13510798949220859, 'n': 993, 'trace_an': -3084}
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id: 134431993
{'hecke_orbit_code': 13510798949220859, 'n': 994, 'trace_an': 10860}
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id: 134431994
{'hecke_orbit_code': 13510798949220859, 'n': 995, 'trace_an': -14126}
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id: 134431995
{'hecke_orbit_code': 13510798949220859, 'n': 996, 'trace_an': 10878}
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id: 134431996
{'hecke_orbit_code': 13510798949220859, 'n': 997, 'trace_an': -36503}
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id: 134431997
{'hecke_orbit_code': 13510798949220859, 'n': 998, 'trace_an': -8976}
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id: 134431998
{'hecke_orbit_code': 13510798949220859, 'n': 999, 'trace_an': -351}
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id: 134431999
{'hecke_orbit_code': 13510798949220859, 'n': 1000, 'trace_an': -21105}