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mf_newforms • Show schema
{'Nk2': 7436, 'analytic_conductor': 14.844189735756023, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[11, -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': [1859, 1, [508, 1354], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 21, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [448, -224, -15568, -30512, 48608, 130810, -55275, -212824, 29118, 179407, -7129, -88400, 510, 26832, 99, -5075, -20, 582, 1, -37, 0, 1]], [7, [2981888, -35553280, 126300160, -64669696, -361342464, 384480768, 226843968, -290903456, -66488000, 96183712, 11281124, -17460834, -1215357, 1893974, 85240, -125749, -3763, 4999, 94, -109, -1, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953595715, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1859.2.a.t', 'level': 1859, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [11, 13], 'level_radical': 143, 'minimal_twist': '1859.2.a.s', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 21, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1859.2.a', 'trace_display': [0, 6, 7, 1], 'traces': [21, 0, 6, 32, 7, -19, 1, -3, 33, 18, 21, 23, 0, 20, 16, 50, 16, 3, -11, 24, -5, 0, -9, -54, 36, 0, 0, -11, 28, 21, 15, -61, 6, -6, -3, 45, -12, 1, 0, 55, -4, -34, 17, 32, 9, 11, 36, 24, 72, -9, 2, 0, 19, 1, 7, 44, -4, -33, 54, 64, 98, -29, -81, 63, 0, -19, 25, 4, 89, 65, 37, 55, 8, -11, 24, 13, 1, 0, 24, 26, 81, 26, -34, -103, -11, 30, 32, -3, 6, 47, 0, -80, 41, 40, 20, -98, 0, -5, 33, 84, 59, -56, 39, 0, -29, -124, -15, 18, -18, 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-10, 6, -74, -2, 295, 0, -137, -182, 347, -292, 49, 14, -229, 282, 18, 283], 'weight': 2, 'weight_parity': 1} -
mf_hecke_cc • Show schema
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'level': 1859, 'weight': 2} -
mf_newspaces • Show schema
{'AL_dims': [[[[11, -1], [13, -1]], 25, 4], [[[11, -1], [13, 1]], 40, 6], [[[11, 1], [13, -1]], 37, 4], [[[11, 1], [13, 1]], 26, 6]], 'ALdims': [26, 37, 40, 25], 'Nk2': 7436, 'analytic_conductor': 14.844189735756023, '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': [1859, 1, [508, 1354], [1, 1]], 'conrey_index': 1, 'cusp_dim': 169, 'dim': 128, 'eis_dim': 27, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33556291, 'hecke_orbit_dims': [1, 1, 2, 2, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 8, 8, 9, 9, 21, 21], 'label': '1859.2.a', 'level': 1859, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [11, 13], 'level_radical': 143, 'mf_dim': 196, 'mf_new_dim': 128, 'num_forms': 20, 'plus_dim': 51, 'prim_orbit_index': 1, 'relative_dim': 128, 'sturm_bound': 364, 'trace_bound': 6, 'trace_display': [-1, 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mf_twists_cc • Show schema
-
id: 48246441
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 21, 'source_embedding_index': 4, 'source_hecke_orbit_code': 85568392953595715, 'source_is_minimal': True, 'source_label': '1859.2.a.t.1.4', 'source_level': 1859, 'target_conrey_index': 1, 'target_dim': 21, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568392953595715, 'target_is_minimal': True, 'target_label': '1859.2.a.t.1.4', 'target_level': 1859, 'twist_class_label': '1859.2.a.s.1.18', 'twist_class_level': 1859, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 48246442
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 21, 'source_embedding_index': 4, 'source_hecke_orbit_code': 85568392953595715, 'source_is_minimal': True, 'source_label': '1859.2.a.t.1.4', 'source_level': 1859, 'target_conrey_index': 1, 'target_dim': 21, 'target_embedding_index': 18, 'target_hecke_orbit_code': 81064793326225219, 'target_is_minimal': True, 'target_label': '1859.2.a.s.1.18', 'target_level': 1859, 'twist_class_label': '1859.2.a.s.1.18', 'twist_class_level': 1859, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
-
id: 48246441
- hecke_orbit_code 85568392953595715 does not appear in mf_hecke_charpolys
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '1859.2.a.t', 'level': 1859, 'portrait': 'data:image/png;base64,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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 246430000
{'hecke_orbit_code': 85568392953595715, 'n': 1, 'trace_an': 21} -
id: 246430001
{'hecke_orbit_code': 85568392953595715, 'n': 2, 'trace_an': 0} -
id: 246430002
{'hecke_orbit_code': 85568392953595715, 'n': 3, 'trace_an': 6} -
id: 246430003
{'hecke_orbit_code': 85568392953595715, 'n': 4, 'trace_an': 32} -
id: 246430004
{'hecke_orbit_code': 85568392953595715, 'n': 5, 'trace_an': 7} -
id: 246430005
{'hecke_orbit_code': 85568392953595715, 'n': 6, 'trace_an': -19} -
id: 246430006
{'hecke_orbit_code': 85568392953595715, 'n': 7, 'trace_an': 1} -
id: 246430007
{'hecke_orbit_code': 85568392953595715, 'n': 8, 'trace_an': -3} -
id: 246430008
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id: 246430863
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id: 246430864
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id: 246430865
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id: 246430872
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id: 246430874
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id: 246430875
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id: 246430876
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id: 246430880
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id: 246430882
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id: 246430889
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id: 246430890
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id: 246430891
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id: 246430892
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id: 246430893
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id: 246430895
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id: 246430896
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id: 246430897
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id: 246430899
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id: 246430900
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id: 246430901
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id: 246430902
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id: 246430904
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id: 246430909
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id: 246430910
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id: 246430911
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id: 246430912
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id: 246430913
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id: 246430914
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id: 246430915
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id: 246430918
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id: 246430919
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id: 246430920
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id: 246430921
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id: 246430922
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id: 246430923
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id: 246430925
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id: 246430926
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id: 246430927
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id: 246430928
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id: 246430929
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id: 246430931
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id: 246430932
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id: 246430935
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id: 246430938
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id: 246430944
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id: 246430945
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id: 246430949
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id: 246430950
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id: 246430951
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id: 246430952
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id: 246430953
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id: 246430954
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id: 246430955
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id: 246430956
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id: 246430958
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id: 246430959
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id: 246430977
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id: 246430980
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id: 246430981
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id: 246430985
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id: 246430989
{'hecke_orbit_code': 85568392953595715, 'n': 990, 'trace_an': 47} -
id: 246430990
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{'hecke_orbit_code': 85568392953595715, 'n': 999, 'trace_an': 275} -
id: 246430999
{'hecke_orbit_code': 85568392953595715, 'n': 1000, 'trace_an': 167}
-
id: 246430000
Embedded newform data - 1859.2.a.t.1.4