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mf_newforms • Show schema
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{'Nk2': 14976, 'analytic_conductor': 29.895990516767377, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [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': [3744, 1, [703, 2341, 2081, 2017], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-4, 2, 1]], [7, [-4, 2, 1]], [11, [-2, 1]], [29, [-20, 0, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698856608, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '3744.2.a.r', 'level': 3744, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '1248.2.a.l', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta )q^{5}+(-1-\\beta )q^{7}+2q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3744.2.a', 'trace_display': [0, 0, -2, -2], 'trace_hash': 1317285944280057862, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.950', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1]], 11, 6], [[[2, 1], [3, -1], [13, 1]], 10, 6], [[[2, 1], [3, -1], [13, -1]], 7, 5], [[[2, -1], [3, -1], [13, 1]], 8, 5], [[[2, -1], [3, 1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [13, -1]], 6, 3], [[[2, -1], [3, 1], [13, 1]], 6, 2], [[[2, 1], [3, 1], [13, 1]], 6, 2]], 'ALdims': [6, 6, 10, 7, 6, 6, 8, 11], 'Nk2': 14976, 'analytic_conductor': 29.895990516767377, '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': [3744, 1, [703, 2341, 2081, 2017], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 60, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 29], 'hecke_orbit_code': 33558176, 'hecke_orbit_dims': [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, 3, 3, 4, 4, 4, 4, 4], 'label': '3744.2.a', 'level': 3744, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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0, 0, 0, 0, 32, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, -752, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, -752, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, -536, 0, 0, 0, -688, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1144496
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '3744.2.a.r', 'source_level': 3744, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1248.2.a.l', 'target_level': 1248, 'twist_class_label': '1248.2.a.l', 'twist_class_level': 1248, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1144497
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '3744.2.a.r', 'source_level': 3744, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '1248.2.a.n', 'target_level': 1248, 'twist_class_label': '1248.2.a.l', 'twist_class_level': 1248, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1144498
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '3744.2.a.r', 'source_level': 3744, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '2496.2.a.be', 'target_level': 2496, 'twist_class_label': '1248.2.a.l', 'twist_class_level': 1248, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1144499
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '3744.2.a.r', 'source_level': 3744, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '2496.2.a.bh', 'target_level': 2496, 'twist_class_label': '1248.2.a.l', 'twist_class_level': 1248, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1144500
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '3744.2.a.r', 'source_level': 3744, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3744.2.a.r', 'target_level': 3744, 'twist_class_label': '1248.2.a.l', 'twist_class_level': 1248, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1144501
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '3744.2.a.r', 'source_level': 3744, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3744.2.a.s', 'target_level': 3744, 'twist_class_label': '1248.2.a.l', 'twist_class_level': 1248, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1144502
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '3744.2.a.r', 'source_level': 3744, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 71, 'target_is_minimal': False, 'target_label': '7488.2.a.cs', 'target_level': 7488, 'twist_class_label': '1248.2.a.l', 'twist_class_level': 1248, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1144503
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '3744.2.a.r', 'source_level': 3744, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 72, 'target_is_minimal': False, 'target_label': '7488.2.a.ct', 'target_level': 7488, 'twist_class_label': '1248.2.a.l', 'twist_class_level': 1248, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3337000
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 76561193698856608, 'p': 2}
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id: 3337001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 76561193698856608, 'p': 3}
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id: 3337002
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 5}
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id: 3337003
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 7}
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id: 3337004
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 76561193698856608, 'p': 11}
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id: 3337005
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 76561193698856608, 'p': 13}
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id: 3337006
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 17}
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id: 3337007
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 19}
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id: 3337008
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 23}
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id: 3337009
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 29}
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id: 3337010
{'charpoly_factorization': [[[-44, 2, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 31}
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id: 3337011
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 37}
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id: 3337012
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 41}
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id: 3337013
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 43}
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id: 3337014
{'charpoly_factorization': [[[-76, 4, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 47}
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id: 3337015
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 53}
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id: 3337016
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 59}
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id: 3337017
{'charpoly_factorization': [[[44, 16, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 61}
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id: 3337018
{'charpoly_factorization': [[[76, 18, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 67}
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id: 3337019
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 71}
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id: 3337020
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 73}
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id: 3337021
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 79}
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id: 3337022
{'charpoly_factorization': [[[124, -24, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 83}
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id: 3337023
{'charpoly_factorization': [[[-124, 2, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 89}
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id: 3337024
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 76561193698856608, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '3744.2.a.r', 'level': 3744, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 241279000
{'hecke_orbit_code': 76561193698856608, 'n': 1, 'trace_an': 2}
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id: 241279001
{'hecke_orbit_code': 76561193698856608, 'n': 2, 'trace_an': 0}
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id: 241279002
{'hecke_orbit_code': 76561193698856608, 'n': 3, 'trace_an': 0}
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id: 241279003
{'hecke_orbit_code': 76561193698856608, 'n': 4, 'trace_an': 0}
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id: 241279004
{'hecke_orbit_code': 76561193698856608, 'n': 5, 'trace_an': -2}
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id: 241279005
{'hecke_orbit_code': 76561193698856608, 'n': 6, 'trace_an': 0}
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id: 241279006
{'hecke_orbit_code': 76561193698856608, 'n': 7, 'trace_an': -2}
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id: 241279007
{'hecke_orbit_code': 76561193698856608, 'n': 8, 'trace_an': 0}
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id: 241279008
{'hecke_orbit_code': 76561193698856608, 'n': 9, 'trace_an': 0}
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id: 241279009
{'hecke_orbit_code': 76561193698856608, 'n': 10, 'trace_an': 0}
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id: 241279010
{'hecke_orbit_code': 76561193698856608, 'n': 11, 'trace_an': 4}
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id: 241279011
{'hecke_orbit_code': 76561193698856608, 'n': 12, 'trace_an': 0}
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id: 241279012
{'hecke_orbit_code': 76561193698856608, 'n': 13, 'trace_an': -2}
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id: 241279013
{'hecke_orbit_code': 76561193698856608, 'n': 14, 'trace_an': 0}
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id: 241279014
{'hecke_orbit_code': 76561193698856608, 'n': 15, 'trace_an': 0}
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id: 241279015
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