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mf_newforms • Show schema
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{'Nk2': 12100, 'analytic_conductor': 24.154746611437314, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [11, -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': [3025, 1, [727, 2301], [1, 1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [1, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 24, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, -4, 0, 1]], [3, [1, 0, -4, 0, 1]], [19, [-26, -2, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090449361, 'hecke_ring_generator_nbound': 2, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3025.2.a.y', 'level': 3025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 11], 'level_radical': 55, 'minimal_twist': '605.2.b.d', 'nf_label': '4.4.2304.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{3}q^{3}+\\beta _{2}q^{4}-q^{6}+(\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3025.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 287559482473787579, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.739', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [11, -1]], 38, 9], [[[5, 1], [11, 1]], 37, 9], [[[5, -1], [11, 1]], 44, 7], [[[5, 1], [11, -1]], 40, 16]], 'Nk2': 12100, 'analytic_conductor': 24.154746611437314, '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': [3025, 1, [727, 2301], [1, 1]], 'conrey_indexes': [1], 'cusp_dim': 295, 'dim': 159, 'eis_dim': 71, 'eis_new_dim': 27, 'hecke_cutter_primes': [2, 3, 19], 'hecke_orbit_code': 33557457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 12], 'label': '3025.2.a', 'level': 3025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 11], 'level_radical': 55, 'mf_dim': 366, 'mf_new_dim': 186, 'num_forms': 41, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 159, 'sturm_bound': 660, 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mf_twists_nf • Show schema
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id: 1037883
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3025.2.a.y', 'source_level': 3025, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '605.2.b.d', 'target_level': 605, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1037884
{'conductor': 55, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3025.2.a.y', 'source_level': 3025, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '605.2.b.e', 'target_level': 605, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1037885
{'conductor': 55, 'degree': 8, 'multiplicity': 8, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3025.2.a.y', 'source_level': 3025, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '605.2.j.e', 'target_level': 605, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '55.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1037886
{'conductor': 55, 'degree': 8, 'multiplicity': 8, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3025.2.a.y', 'source_level': 3025, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '605.2.j.f', 'target_level': 605, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '55.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1037887
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3025.2.a.y', 'source_level': 3025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3025.2.a.y', 'target_level': 3025, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1037888
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3025.2.a.y', 'source_level': 3025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3025.2.a.y', 'target_level': 3025, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1037889
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3025.2.a.y', 'source_level': 3025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3025.2.a.z', 'target_level': 3025, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1037890
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3025.2.a.y', 'source_level': 3025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3025.2.a.z', 'target_level': 3025, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2969950
{'charpoly_factorization': [[[1, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 2}
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id: 2969951
{'charpoly_factorization': [[[1, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 3}
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id: 2969952
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 108086391090449361, 'p': 5}
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id: 2969953
{'charpoly_factorization': [[[9, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 7}
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id: 2969954
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 108086391090449361, 'p': 11}
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id: 2969955
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 13}
-
id: 2969956
{'charpoly_factorization': [[[16, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 17}
-
id: 2969957
{'charpoly_factorization': [[[-26, -2, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 19}
-
id: 2969958
{'charpoly_factorization': [[[484, 0, -52, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 23}
-
id: 2969959
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 29}
-
id: 2969960
{'charpoly_factorization': [[[46, 14, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 31}
-
id: 2969961
{'charpoly_factorization': [[[144, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 37}
-
id: 2969962
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 41}
-
id: 2969963
{'charpoly_factorization': [[[4761, 0, -156, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 43}
-
id: 2969964
{'charpoly_factorization': [[[2209, 0, -148, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 47}
-
id: 2969965
{'charpoly_factorization': [[[676, 0, -148, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 53}
-
id: 2969966
{'charpoly_factorization': [[[6, 6, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 59}
-
id: 2969967
{'charpoly_factorization': [[[97, 20, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 61}
-
id: 2969968
{'charpoly_factorization': [[[1089, 0, -228, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 67}
-
id: 2969969
{'charpoly_factorization': [[[-18, 6, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 71}
-
id: 2969970
{'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 73}
-
id: 2969971
{'charpoly_factorization': [[[-8, 4, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 79}
-
id: 2969972
{'charpoly_factorization': [[[-98, 0, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 83}
-
id: 2969973
{'charpoly_factorization': [[[-3, 6, 1], 2]], 'hecke_orbit_code': 108086391090449361, 'p': 89}
-
id: 2969974
{'charpoly_factorization': [[[36, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 108086391090449361, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '3025.2.a.y', 'level': 3025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 257087000
{'hecke_orbit_code': 108086391090449361, 'n': 1, 'trace_an': 4}
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id: 257087001
{'hecke_orbit_code': 108086391090449361, 'n': 2, 'trace_an': 0}
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id: 257087002
{'hecke_orbit_code': 108086391090449361, 'n': 3, 'trace_an': 0}
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id: 257087003
{'hecke_orbit_code': 108086391090449361, 'n': 4, 'trace_an': 0}
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id: 257087004
{'hecke_orbit_code': 108086391090449361, 'n': 5, 'trace_an': 0}
-
id: 257087005
{'hecke_orbit_code': 108086391090449361, 'n': 6, 'trace_an': -4}
-
id: 257087006
{'hecke_orbit_code': 108086391090449361, 'n': 7, 'trace_an': 0}
-
id: 257087007
{'hecke_orbit_code': 108086391090449361, 'n': 8, 'trace_an': 0}
-
id: 257087008
{'hecke_orbit_code': 108086391090449361, 'n': 9, 'trace_an': -4}
-
id: 257087009
{'hecke_orbit_code': 108086391090449361, 'n': 10, 'trace_an': 0}
-
id: 257087010
{'hecke_orbit_code': 108086391090449361, 'n': 11, 'trace_an': 0}
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id: 257087011
{'hecke_orbit_code': 108086391090449361, 'n': 12, 'trace_an': 0}
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id: 257087012
{'hecke_orbit_code': 108086391090449361, 'n': 13, 'trace_an': 0}
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id: 257087013
{'hecke_orbit_code': 108086391090449361, 'n': 14, 'trace_an': 0}
-
id: 257087014
{'hecke_orbit_code': 108086391090449361, 'n': 15, 'trace_an': 0}
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id: 257087015
{'hecke_orbit_code': 108086391090449361, 'n': 16, 'trace_an': -4}
-
id: 257087016
{'hecke_orbit_code': 108086391090449361, 'n': 17, 'trace_an': 0}
-
id: 257087017
{'hecke_orbit_code': 108086391090449361, 'n': 18, 'trace_an': 0}
-
id: 257087018
{'hecke_orbit_code': 108086391090449361, 'n': 19, 'trace_an': 4}
-
id: 257087019
{'hecke_orbit_code': 108086391090449361, 'n': 20, 'trace_an': 0}
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id: 257087020
{'hecke_orbit_code': 108086391090449361, 'n': 21, 'trace_an': 12}
-
id: 257087021
{'hecke_orbit_code': 108086391090449361, 'n': 22, 'trace_an': 0}
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id: 257087022
{'hecke_orbit_code': 108086391090449361, 'n': 23, 'trace_an': 0}
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id: 257087023
{'hecke_orbit_code': 108086391090449361, 'n': 24, 'trace_an': 8}
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id: 257087024
{'hecke_orbit_code': 108086391090449361, 'n': 25, 'trace_an': 0}
-
id: 257087025
{'hecke_orbit_code': 108086391090449361, 'n': 26, 'trace_an': -12}
-
id: 257087026
{'hecke_orbit_code': 108086391090449361, 'n': 27, 'trace_an': 0}
-
id: 257087027
{'hecke_orbit_code': 108086391090449361, 'n': 28, 'trace_an': 0}
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id: 257087028
{'hecke_orbit_code': 108086391090449361, 'n': 29, 'trace_an': 0}
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id: 257087029
{'hecke_orbit_code': 108086391090449361, 'n': 30, 'trace_an': 0}
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