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{'Nk2': 17820, 'analytic_conductor': 79.38999080742542, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [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': [495, 1, [56, 397, 46], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 788, 'field_disc_factorization': [[2, 2], [197, 1]], 'field_poly': [-3, -7, -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, [-40, -36, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199355404783, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '495.6.a.c', 'level': 495, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '165.6.a.d', 'nf_label': '3.3.788.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{2})q^{2}+(-8-4\\beta _{1})q^{4}-5^{2}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '495.6.a', 'trace_display': [-2, 0, -75, 152], 'trace_hash': 1237494860134498459, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.330', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.922', 'prec': 20}, 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-
mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
Hide schema
{'AL_dims': [[[[3, -1], [5, -1], [11, -1]], 14, 3], [[[3, 1], [5, -1], [11, -1]], 6, 1], [[[3, 1], [5, -1], [11, 1]], 10, 1], [[[3, -1], [5, 1], [11, -1]], 11, 3], [[[3, 1], [5, 1], [11, 1]], 6, 1], [[[3, -1], [5, -1], [11, 1]], 12, 3], [[[3, -1], [5, 1], [11, 1]], 13, 3], [[[3, 1], [5, 1], [11, -1]], 10, 1]], 'ALdims': [6, 10, 10, 6, 13, 11, 12, 14], 'Nk2': 17820, 'analytic_conductor': 79.38999080742542, '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': [495, 1, [56, 397, 46], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 352, 'dim': 82, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100663791, 'hecke_orbit_dims': [3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 10, 10], 'label': '495.6.a', 'level': 495, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 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mf_twists_cc • Show schema
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id: 40497389
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199355404783, 'source_is_minimal': False, 'source_label': '495.6.a.c.1.2', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199355404783, 'target_is_minimal': False, 'target_label': '495.6.a.c.1.2', 'target_level': 495, 'twist_class_label': '165.6.a.d.1.2', 'twist_class_level': 165, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
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id: 40497390
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199355404783, 'source_is_minimal': False, 'source_label': '495.6.a.c.1.2', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798982774949, 'target_is_minimal': True, 'target_label': '165.6.a.d.1.2', 'target_level': 165, 'twist_class_label': '165.6.a.d.1.2', 'twist_class_level': 165, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 6}
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id: 40497391
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199355404783, 'source_is_minimal': False, 'source_label': '495.6.a.c.1.2', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197492257593, 'target_is_minimal': False, 'target_label': '825.6.a.h.1.2', 'target_level': 825, 'twist_class_label': '165.6.a.d.1.2', 'twist_class_level': 165, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 966950
{'charpoly_factorization': [[[-40, -36, 2, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 2}
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id: 966951
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 9007199355404783, 'p': 3}
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id: 966952
{'charpoly_factorization': [[[25, 1], 3]], 'hecke_orbit_code': 9007199355404783, 'p': 5}
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id: 966953
{'charpoly_factorization': [[[2963664, -19424, -152, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 7}
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id: 966954
{'charpoly_factorization': [[[-121, 1], 3]], 'hecke_orbit_code': 9007199355404783, 'p': 11}
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id: 966955
{'charpoly_factorization': [[[-7691848, -76748, 546, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 13}
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id: 966956
{'charpoly_factorization': [[[1079472216, -2250148, -314, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 17}
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id: 966957
{'charpoly_factorization': [[[729480096, -574752, -1808, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 19}
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id: 966958
{'charpoly_factorization': [[[857355136, 3850048, 4288, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 23}
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id: 966959
{'charpoly_factorization': [[[329440872, 6452540, 5582, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 29}
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id: 966960
{'charpoly_factorization': [[[-5126546304, 11695008, -6328, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 31}
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id: 966961
{'charpoly_factorization': [[[244700027368, 39649324, -16866, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 37}
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id: 966962
{'charpoly_factorization': [[[-945181300968, 33206460, 23282, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 41}
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id: 966963
{'charpoly_factorization': [[[1240285492944, 3531456, -20572, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 43}
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id: 966964
{'charpoly_factorization': [[[18016103040, -20804576, 3432, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 47}
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id: 966965
{'charpoly_factorization': [[[985333601848, -333565172, 16138, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 53}
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id: 966966
{'charpoly_factorization': [[[-2567903224000, -147215504, 21972, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 59}
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id: 966967
{'charpoly_factorization': [[[4408473611240, -413790932, -8322, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 61}
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id: 966968
{'charpoly_factorization': [[[-41154720036800, 830103824, 84332, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 67}
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id: 966969
{'charpoly_factorization': [[[-117803610062464, -3186351008, 50528, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 71}
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id: 966970
{'charpoly_factorization': [[[-163971863295832, -3225204860, 53838, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 73}
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id: 966971
{'charpoly_factorization': [[[-554174036768, -633977584, -6364, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 79}
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id: 966972
{'charpoly_factorization': [[[-3029676562224, 182589096, 96272, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 83}
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id: 966973
{'charpoly_factorization': [[[-96218735089528, -5745032052, -38938, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 89}
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id: 966974
{'charpoly_factorization': [[[-251540556847112, -10255743572, 103242, 1], 1]], 'hecke_orbit_code': 9007199355404783, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '495.6.a.c', 'level': 495, 'portrait': 'data:image/png;base64,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', 'weight': 6}
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mf_hecke_traces • Show schema
Hide schema
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id: 112130000
{'hecke_orbit_code': 9007199355404783, 'n': 1, 'trace_an': 3}
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id: 112130001
{'hecke_orbit_code': 9007199355404783, 'n': 2, 'trace_an': -2}
-
id: 112130002
{'hecke_orbit_code': 9007199355404783, 'n': 3, 'trace_an': 0}
-
id: 112130003
{'hecke_orbit_code': 9007199355404783, 'n': 4, 'trace_an': -20}
-
id: 112130004
{'hecke_orbit_code': 9007199355404783, 'n': 5, 'trace_an': -75}
-
id: 112130005
{'hecke_orbit_code': 9007199355404783, 'n': 6, 'trace_an': 0}
-
id: 112130006
{'hecke_orbit_code': 9007199355404783, 'n': 7, 'trace_an': 152}
-
id: 112130007
{'hecke_orbit_code': 9007199355404783, 'n': 8, 'trace_an': 24}
-
id: 112130008
{'hecke_orbit_code': 9007199355404783, 'n': 9, 'trace_an': 0}
-
id: 112130009
{'hecke_orbit_code': 9007199355404783, 'n': 10, 'trace_an': 50}
-
id: 112130010
{'hecke_orbit_code': 9007199355404783, 'n': 11, 'trace_an': 363}
-
id: 112130011
{'hecke_orbit_code': 9007199355404783, 'n': 12, 'trace_an': 0}
-
id: 112130012
{'hecke_orbit_code': 9007199355404783, 'n': 13, 'trace_an': -546}
-
id: 112130013
{'hecke_orbit_code': 9007199355404783, 'n': 14, 'trace_an': 8}
-
id: 112130014
{'hecke_orbit_code': 9007199355404783, 'n': 15, 'trace_an': 0}
-
id: 112130015
{'hecke_orbit_code': 9007199355404783, 'n': 16, 'trace_an': -1360}
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id: 112130016
{'hecke_orbit_code': 9007199355404783, 'n': 17, 'trace_an': 314}
-
id: 112130017
{'hecke_orbit_code': 9007199355404783, 'n': 18, 'trace_an': 0}
-
id: 112130018
{'hecke_orbit_code': 9007199355404783, 'n': 19, 'trace_an': 1808}
-
id: 112130019
{'hecke_orbit_code': 9007199355404783, 'n': 20, 'trace_an': 500}
-
id: 112130020
{'hecke_orbit_code': 9007199355404783, 'n': 21, 'trace_an': 0}
-
id: 112130021
{'hecke_orbit_code': 9007199355404783, 'n': 22, 'trace_an': -242}
-
id: 112130022
{'hecke_orbit_code': 9007199355404783, 'n': 23, 'trace_an': -4288}
-
id: 112130023
{'hecke_orbit_code': 9007199355404783, 'n': 24, 'trace_an': 0}
-
id: 112130024
{'hecke_orbit_code': 9007199355404783, 'n': 25, 'trace_an': 1875}
-
id: 112130025
{'hecke_orbit_code': 9007199355404783, 'n': 26, 'trace_an': -812}
-
id: 112130026
{'hecke_orbit_code': 9007199355404783, 'n': 27, 'trace_an': 0}
-
id: 112130027
{'hecke_orbit_code': 9007199355404783, 'n': 28, 'trace_an': 5888}
-
id: 112130028
{'hecke_orbit_code': 9007199355404783, 'n': 29, 'trace_an': -5582}
-
id: 112130029
{'hecke_orbit_code': 9007199355404783, 'n': 30, 'trace_an': 0}
-
id: 112130030
{'hecke_orbit_code': 9007199355404783, 'n': 31, 'trace_an': 6328}
-
id: 112130031
{'hecke_orbit_code': 9007199355404783, 'n': 32, 'trace_an': 736}
-
id: 112130032
{'hecke_orbit_code': 9007199355404783, 'n': 33, 'trace_an': 0}
-
id: 112130033
{'hecke_orbit_code': 9007199355404783, 'n': 34, 'trace_an': 11596}
-
id: 112130034
{'hecke_orbit_code': 9007199355404783, 'n': 35, 'trace_an': -3800}
-
id: 112130035
{'hecke_orbit_code': 9007199355404783, 'n': 36, 'trace_an': 0}
-
id: 112130036
{'hecke_orbit_code': 9007199355404783, 'n': 37, 'trace_an': 16866}
-
id: 112130037
{'hecke_orbit_code': 9007199355404783, 'n': 38, 'trace_an': -9584}
-
id: 112130038
{'hecke_orbit_code': 9007199355404783, 'n': 39, 'trace_an': 0}
-
id: 112130039
{'hecke_orbit_code': 9007199355404783, 'n': 40, 'trace_an': -600}
-
id: 112130040
{'hecke_orbit_code': 9007199355404783, 'n': 41, 'trace_an': -23282}
-
id: 112130041
{'hecke_orbit_code': 9007199355404783, 'n': 42, 'trace_an': 0}
-
id: 112130042
{'hecke_orbit_code': 9007199355404783, 'n': 43, 'trace_an': 20572}
-
id: 112130043
{'hecke_orbit_code': 9007199355404783, 'n': 44, 'trace_an': -2420}
-
id: 112130044
{'hecke_orbit_code': 9007199355404783, 'n': 45, 'trace_an': 0}
-
id: 112130045
{'hecke_orbit_code': 9007199355404783, 'n': 46, 'trace_an': 16592}
-
id: 112130046
{'hecke_orbit_code': 9007199355404783, 'n': 47, 'trace_an': -3432}
-
id: 112130047
{'hecke_orbit_code': 9007199355404783, 'n': 48, 'trace_an': 0}
-
id: 112130048
{'hecke_orbit_code': 9007199355404783, 'n': 49, 'trace_an': 11531}
-
id: 112130049
{'hecke_orbit_code': 9007199355404783, 'n': 50, 'trace_an': -1250}
-
id: 112130050
{'hecke_orbit_code': 9007199355404783, 'n': 51, 'trace_an': 0}
-
id: 112130051
{'hecke_orbit_code': 9007199355404783, 'n': 52, 'trace_an': 21816}
-
id: 112130052
{'hecke_orbit_code': 9007199355404783, 'n': 53, 'trace_an': -16138}
-
id: 112130053
{'hecke_orbit_code': 9007199355404783, 'n': 54, 'trace_an': 0}
-
id: 112130054
{'hecke_orbit_code': 9007199355404783, 'n': 55, 'trace_an': -9075}
-
id: 112130055
{'hecke_orbit_code': 9007199355404783, 'n': 56, 'trace_an': -15648}
-
id: 112130056
{'hecke_orbit_code': 9007199355404783, 'n': 57, 'trace_an': 0}
-
id: 112130057
{'hecke_orbit_code': 9007199355404783, 'n': 58, 'trace_an': 17460}
-
id: 112130058
{'hecke_orbit_code': 9007199355404783, 'n': 59, 'trace_an': -21972}
-
id: 112130059
{'hecke_orbit_code': 9007199355404783, 'n': 60, 'trace_an': 0}
-
id: 112130060
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