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mf_newforms • Show schema
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{'Nk2': 4160, 'analytic_conductor': 8.30444181021316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1040, 3, [911, 261, 417, 561], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 81, 'conrey_indexes': [81, 321], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -1, 1]], [7, [1, 1, 1]], [11, [9, -3, 1]], [19, [25, -5, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029896564147216, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1040.2.q.i', 'level': 1040, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '260.2.i.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{3}-q^{5}-\\zeta_{6}q^{7}+2\\zeta_{6}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1040.2.q', 'trace_display': [0, 1, -2, -1], 'trace_hash': 336647627483955836, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.882', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.627', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4160, 'analytic_conductor': 8.30444181021316, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1040, 3, [911, 261, 417, 561], [3, 3, 3, 1]], 'conrey_index': 81, 'cusp_dim': 312, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 19], 'hecke_orbit_code': 1099545183248, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 8], 'label': '1040.2.q', 'level': 1040, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 360, 'mf_new_dim': 56, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 336, 'trace_bound': 11, 'trace_display': [0, -4, 0, 4], 'traces': [56, 0, -4, 0, 0, 0, 4, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 12, 0, 56, 0, 56, 0, 0, 0, -32, 0, 0, 0, -12, 0, 0, 0, -28, 0, 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mf_twists_nf • Show schema
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id: 627355
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '260.2.i.a', 'target_level': 260, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 627356
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '260.2.i.a', 'target_level': 260, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 627357
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1040.2.q.i', 'target_level': 1040, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 627358
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1040.2.q.i', 'target_level': 1040, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 627359
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1300.2.i.d', 'target_level': 1300, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 627360
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1300.2.i.d', 'target_level': 1300, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '260.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 627361
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1300.2.bb.b', 'target_level': 1300, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 627362
{'conductor': 260, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1300.2.bb.b', 'target_level': 1300, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '260.bj', 'twisting_char_orbit': 36, 'weight': 2}
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id: 627363
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2340.2.q.f', 'target_level': 2340, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 627364
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2340.2.q.f', 'target_level': 2340, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 627365
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3380.2.a.f', 'target_level': 3380, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 627366
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3380.2.a.i', 'target_level': 3380, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 627367
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1040.2.q.i', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3380.2.f.d', 'target_level': 3380, 'twist_class_label': '260.2.i.a', 'twist_class_level': 260, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1623900
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029896564147216, 'p': 2}
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id: 1623901
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 3}
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id: 1623902
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 36029896564147216, 'p': 5}
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id: 1623903
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 7}
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id: 1623904
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 11}
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id: 1623905
{'charpoly_factorization': [[[13, -2, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 13}
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id: 1623906
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 17}
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id: 1623907
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 19}
-
id: 1623908
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 23}
-
id: 1623909
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 29}
-
id: 1623910
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 36029896564147216, 'p': 31}
-
id: 1623911
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 37}
-
id: 1623912
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 41}
-
id: 1623913
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 43}
-
id: 1623914
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029896564147216, 'p': 47}
-
id: 1623915
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 36029896564147216, 'p': 53}
-
id: 1623916
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 59}
-
id: 1623917
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 61}
-
id: 1623918
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 67}
-
id: 1623919
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 71}
-
id: 1623920
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 36029896564147216, 'p': 73}
-
id: 1623921
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 36029896564147216, 'p': 79}
-
id: 1623922
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029896564147216, 'p': 83}
-
id: 1623923
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 89}
-
id: 1623924
{'charpoly_factorization': [[[289, 17, 1], 1]], 'hecke_orbit_code': 36029896564147216, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 9, 'label': '1040.2.q.i', 'level': 1040, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 202487000
{'hecke_orbit_code': 36029896564147216, 'n': 1, 'trace_an': 2}
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id: 202487001
{'hecke_orbit_code': 36029896564147216, 'n': 2, 'trace_an': 0}
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id: 202487002
{'hecke_orbit_code': 36029896564147216, 'n': 3, 'trace_an': 1}
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id: 202487003
{'hecke_orbit_code': 36029896564147216, 'n': 4, 'trace_an': 0}
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id: 202487004
{'hecke_orbit_code': 36029896564147216, 'n': 5, 'trace_an': -2}
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id: 202487005
{'hecke_orbit_code': 36029896564147216, 'n': 6, 'trace_an': 0}
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id: 202487006
{'hecke_orbit_code': 36029896564147216, 'n': 7, 'trace_an': -1}
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id: 202487007
{'hecke_orbit_code': 36029896564147216, 'n': 8, 'trace_an': 0}
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id: 202487008
{'hecke_orbit_code': 36029896564147216, 'n': 9, 'trace_an': 2}
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id: 202487009
{'hecke_orbit_code': 36029896564147216, 'n': 10, 'trace_an': 0}
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id: 202487010
{'hecke_orbit_code': 36029896564147216, 'n': 11, 'trace_an': 3}
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id: 202487011
{'hecke_orbit_code': 36029896564147216, 'n': 12, 'trace_an': 0}
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id: 202487012
{'hecke_orbit_code': 36029896564147216, 'n': 13, 'trace_an': 2}
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id: 202487013
{'hecke_orbit_code': 36029896564147216, 'n': 14, 'trace_an': 0}
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id: 202487014
{'hecke_orbit_code': 36029896564147216, 'n': 15, 'trace_an': -1}
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id: 202487015
{'hecke_orbit_code': 36029896564147216, 'n': 16, 'trace_an': 0}
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id: 202487016
{'hecke_orbit_code': 36029896564147216, 'n': 17, 'trace_an': 3}
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id: 202487017
{'hecke_orbit_code': 36029896564147216, 'n': 18, 'trace_an': 0}
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