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{'Nk2': 8100, 'analytic_conductor': 36.08635945792064, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -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': [225, 1, [101, 127], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 89, 'field_disc_factorization': [[89, 1]], 'field_poly': [-22, -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': [[2, [-2, -9, 1]], [7, [-9900, 108, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992648073441, 'hecke_ring_generator_nbound': 2, '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': '225.6.a.u', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '15.6.b.a', 'nf_label': '2.2.89.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(5-\\beta )q^{2}+(15-9\\beta )q^{4}+(-66+24\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.6.a', 'trace_display': [9, 0, 0, -108], 'trace_hash': 132950333016920335, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.924', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.350', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.291', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.319', 'prec': 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mf_hecke_nf • Show schema
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[-625811244, -41500392], [-513466560, 27402624], [-99206136, -9439632], [-339734514, -61936392], [662707406, -25787164], [-613970684, -53895656], [-486430908, 91191744], [-45280782, 53521452], [-509180728, 3605048], [216745386, -11668428], [-489140676, 38859336], [24235334, 157961972], [353496748, -21160592], [-115439850, -100582560], [-6179632, 45989352], [-60412344, 61409232]], 'char_orbit_index': 1, 'field_poly': [-22, -1, 1], 'hecke_orbit_code': 90071992648073441, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '225.6.a.u', 'level': 225, 'maxp': 2999, 'weight': 6}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 11, 6], [[[3, 1], [5, 1]], 7, 4], [[[3, 1], [5, -1]], 9, 4], [[[3, -1], [5, 1]], 11, 8]], 'ALdims': [7, 9, 11, 11], 'Nk2': 8100, 'analytic_conductor': 36.08635945792064, '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': [225, 1, [101, 127], [1, 1]], 'conrey_index': 1, 'cusp_dim': 138, 'dim': 38, 'eis_dim': 24, 'eis_new_dim': 3, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 100663521, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'label': '225.6.a', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 162, 'mf_new_dim': 41, 'num_forms': 22, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 38, 'sturm_bound': 180, 'trace_bound': 7, 'trace_display': [0, 0, 0, -80], 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mf_twists_nf • Show schema
Hide schema
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id: 182937
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '225.6.a.u', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '15.6.b.a', 'target_level': 15, 'twist_class_label': '15.6.b.a', 'twist_class_level': 15, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 6}
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id: 182938
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '225.6.a.u', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '45.6.b.c', 'target_level': 45, 'twist_class_label': '15.6.b.a', 'twist_class_level': 15, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 182939
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '225.6.a.u', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '75.6.a.f', 'target_level': 75, 'twist_class_label': '15.6.b.a', 'twist_class_level': 15, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 182940
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '225.6.a.u', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '75.6.a.j', 'target_level': 75, 'twist_class_label': '15.6.b.a', 'twist_class_level': 15, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 182941
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '225.6.a.u', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '225.6.a.i', 'target_level': 225, 'twist_class_label': '15.6.b.a', 'twist_class_level': 15, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 182942
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '225.6.a.u', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '225.6.a.u', 'target_level': 225, 'twist_class_label': '15.6.b.a', 'twist_class_level': 15, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 182943
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '225.6.a.u', 'source_level': 225, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '240.6.f.c', 'target_level': 240, 'twist_class_label': '15.6.b.a', 'twist_class_level': 15, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 6}
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id: 182944
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '225.6.a.u', 'source_level': 225, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '720.6.f.h', 'target_level': 720, 'twist_class_label': '15.6.b.a', 'twist_class_level': 15, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 540750
{'charpoly_factorization': [[[-2, -9, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 2}
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id: 540751
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992648073441, 'p': 3}
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id: 540752
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992648073441, 'p': 5}
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id: 540753
{'charpoly_factorization': [[[-9900, 108, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 7}
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id: 540754
{'charpoly_factorization': [[[-252468, 168, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 11}
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id: 540755
{'charpoly_factorization': [[[262908, 1296, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 13}
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id: 540756
{'charpoly_factorization': [[[-353156, -576, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 17}
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id: 540757
{'charpoly_factorization': [[[330880, 1336, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 19}
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id: 540758
{'charpoly_factorization': [[[8542000, -5904, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 23}
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id: 540759
{'charpoly_factorization': [[[-13455360, -3552, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 29}
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id: 540760
{'charpoly_factorization': [[[33457600, 11648, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 31}
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id: 540761
{'charpoly_factorization': [[[50445180, 14688, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 37}
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id: 540762
{'charpoly_factorization': [[[-202645980, 1812, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 41}
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id: 540763
{'charpoly_factorization': [[[-25902576, -7560, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 43}
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id: 540764
{'charpoly_factorization': [[[-34287104, -3240, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 47}
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id: 540765
{'charpoly_factorization': [[[32872540, 22176, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 53}
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id: 540766
{'charpoly_factorization': [[[572451660, 57336, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 59}
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id: 540767
{'charpoly_factorization': [[[3798916, 30140, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 61}
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id: 540768
{'charpoly_factorization': [[[-455939136, -5184, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 67}
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id: 540769
{'charpoly_factorization': [[[-157672656, 17424, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 71}
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id: 540770
{'charpoly_factorization': [[[-10970640, -3456, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 73}
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id: 540771
{'charpoly_factorization': [[[-1122176000, 57520, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 79}
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id: 540772
{'charpoly_factorization': [[[3449918032, -133992, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 83}
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id: 540773
{'charpoly_factorization': [[[4173659460, 136764, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 89}
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id: 540774
{'charpoly_factorization': [[[-3585658176, 85536, 1], 1]], 'hecke_orbit_code': 90071992648073441, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '225.6.a.u', 'level': 225, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 250836000
{'hecke_orbit_code': 90071992648073441, 'n': 1, 'trace_an': 2}
-
id: 250836001
{'hecke_orbit_code': 90071992648073441, 'n': 2, 'trace_an': 9}
-
id: 250836002
{'hecke_orbit_code': 90071992648073441, 'n': 3, 'trace_an': 0}
-
id: 250836003
{'hecke_orbit_code': 90071992648073441, 'n': 4, 'trace_an': 21}
-
id: 250836004
{'hecke_orbit_code': 90071992648073441, 'n': 5, 'trace_an': 0}
-
id: 250836005
{'hecke_orbit_code': 90071992648073441, 'n': 6, 'trace_an': 0}
-
id: 250836006
{'hecke_orbit_code': 90071992648073441, 'n': 7, 'trace_an': -108}
-
id: 250836007
{'hecke_orbit_code': 90071992648073441, 'n': 8, 'trace_an': 207}
-
id: 250836008
{'hecke_orbit_code': 90071992648073441, 'n': 9, 'trace_an': 0}
-
id: 250836009
{'hecke_orbit_code': 90071992648073441, 'n': 10, 'trace_an': 0}
-
id: 250836010
{'hecke_orbit_code': 90071992648073441, 'n': 11, 'trace_an': -168}
-
id: 250836011
{'hecke_orbit_code': 90071992648073441, 'n': 12, 'trace_an': 0}
-
id: 250836012
{'hecke_orbit_code': 90071992648073441, 'n': 13, 'trace_an': -1296}
-
id: 250836013
{'hecke_orbit_code': 90071992648073441, 'n': 14, 'trace_an': -1554}
-
id: 250836014
{'hecke_orbit_code': 90071992648073441, 'n': 15, 'trace_an': 0}
-
id: 250836015
{'hecke_orbit_code': 90071992648073441, 'n': 16, 'trace_an': 1105}
-
id: 250836016
{'hecke_orbit_code': 90071992648073441, 'n': 17, 'trace_an': 576}
-
id: 250836017
{'hecke_orbit_code': 90071992648073441, 'n': 18, 'trace_an': 0}
-
id: 250836018
{'hecke_orbit_code': 90071992648073441, 'n': 19, 'trace_an': -1336}
-
id: 250836019
{'hecke_orbit_code': 90071992648073441, 'n': 20, 'trace_an': 0}
-
id: 250836020
{'hecke_orbit_code': 90071992648073441, 'n': 21, 'trace_an': 0}
-
id: 250836021
{'hecke_orbit_code': 90071992648073441, 'n': 22, 'trace_an': -5562}
-
id: 250836022
{'hecke_orbit_code': 90071992648073441, 'n': 23, 'trace_an': 5904}
-
id: 250836023
{'hecke_orbit_code': 90071992648073441, 'n': 24, 'trace_an': 0}
-
id: 250836024
{'hecke_orbit_code': 90071992648073441, 'n': 25, 'trace_an': 0}
-
id: 250836025
{'hecke_orbit_code': 90071992648073441, 'n': 26, 'trace_an': -2094}
-
id: 250836026
{'hecke_orbit_code': 90071992648073441, 'n': 27, 'trace_an': 0}
-
id: 250836027
{'hecke_orbit_code': 90071992648073441, 'n': 28, 'trace_an': -10746}
-
id: 250836028
{'hecke_orbit_code': 90071992648073441, 'n': 29, 'trace_an': 3552}
-
id: 250836029
{'hecke_orbit_code': 90071992648073441, 'n': 30, 'trace_an': 0}
-
id: 250836030
{'hecke_orbit_code': 90071992648073441, 'n': 31, 'trace_an': -11648}
-
id: 250836031
{'hecke_orbit_code': 90071992648073441, 'n': 32, 'trace_an': -6057}
-
id: 250836032
{'hecke_orbit_code': 90071992648073441, 'n': 33, 'trace_an': 0}
-
id: 250836033
{'hecke_orbit_code': 90071992648073441, 'n': 34, 'trace_an': -3638}
-
id: 250836034
{'hecke_orbit_code': 90071992648073441, 'n': 35, 'trace_an': 0}
-
id: 250836035
{'hecke_orbit_code': 90071992648073441, 'n': 36, 'trace_an': 0}
-
id: 250836036
{'hecke_orbit_code': 90071992648073441, 'n': 37, 'trace_an': -14688}
-
id: 250836037
{'hecke_orbit_code': 90071992648073441, 'n': 38, 'trace_an': -9216}
-
id: 250836038
{'hecke_orbit_code': 90071992648073441, 'n': 39, 'trace_an': 0}
-
id: 250836039
{'hecke_orbit_code': 90071992648073441, 'n': 40, 'trace_an': 0}
-
id: 250836040
{'hecke_orbit_code': 90071992648073441, 'n': 41, 'trace_an': -1812}
-
id: 250836041
{'hecke_orbit_code': 90071992648073441, 'n': 42, 'trace_an': 0}
-
id: 250836042
{'hecke_orbit_code': 90071992648073441, 'n': 43, 'trace_an': 7560}
-
id: 250836043
{'hecke_orbit_code': 90071992648073441, 'n': 44, 'trace_an': -45018}
-
id: 250836044
{'hecke_orbit_code': 90071992648073441, 'n': 45, 'trace_an': 0}
-
id: 250836045
{'hecke_orbit_code': 90071992648073441, 'n': 46, 'trace_an': 22652}
-
id: 250836046
{'hecke_orbit_code': 90071992648073441, 'n': 47, 'trace_an': 3240}
-
id: 250836047
{'hecke_orbit_code': 90071992648073441, 'n': 48, 'trace_an': 0}
-
id: 250836048
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