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mf_newforms • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'cm_discs': [], 'conrey_index': 148, 'conrey_indexes': [148, 323, 372, 729], 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -8, 68, -564, 4688, 640, 6895, 3392, 10312, -4376, 10368, -4924, 7889, -3032, 3916, -1656, 1856, -1112, 687, -304, 164, -52, 16, -4, 1]], [3, [256, -2304, 19136, -156544, 1278480, -1150240, 1632652, -1551956, 1601637, -315012, 584211, -77534, 243744, -67166, 57101, -15620, 10879, -1976, 1365, -254, 164, -32, 15, -2, 1]], [13, [65536, -131072, 409600, -819200, 2048000, -1310720, 4058112, -2916352, 11676416, -13670400, 15177664, -12965632, 12905408, -5654432, 2711988, -1049368, 373741, -35252, 16771, -1744, 989, -144, 35, -4, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112590334315201359, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '847.2.f.z', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'minimal_twist': '847.2.a.m', 'prim_orbit_index': 3, 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '847.2.f', 'trace_display': [4, 2, 4, 6], 'traces': [24, 4, 2, -4, 4, -6, 6, 12, -8, 32, 0, -56, 4, -4, -2, -8, 22, 24, 6, -2, 8, 0, 8, -20, -4, -6, 2, 4, 12, 20, 2, -32, 0, 96, -4, -18, -14, 22, 20, 18, 26, 6, 16, 0, -144, 12, 16, 24, -6, -4, -4, 12, -4, 128, 0, 48, 20, 2, 4, -24, -8, 20, 8, -26, -96, 0, 24, 12, 14, 8, -22, 16, 14, 44, 20, 120, 0, 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-80, 6, 8, 76, 672, 0, 40, 110, -92, 12, 36, 208, -60, -40, 128, -440], 'weight': 2, 'weight_parity': 1}
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label 847.2.f.z does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'conrey_index': 148, 'cusp_dim': 304, 'dim': 216, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 13], 'hecke_orbit_code': 343630938959, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 12, 12, 16, 16, 16, 24, 24], 'label': '847.2.f', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 400, 'mf_new_dim': 216, 'num_forms': 26, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 176, 'trace_bound': 7, 'trace_display': [4, 8, 4, 2], 'traces': [216, 4, 8, -52, 4, -6, 2, 2, -44, 16, 0, -36, 2, -3, 22, -74, 16, -15, -10, -14, -12, 0, -40, 14, -66, 10, 26, -11, 6, -12, 28, 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12, 0, -1004, -98, 322, 370, -177, -184, -20, 110, 421, 284, 0, -28, -164, 196, -152, 8, -32, 142, -40, -156, 36, 0, -486, 132, 176, 6, 16, 30, -54, 176, 246, 268, 0, 32, 251, 16, 0, 394, 224, -10, -12, -36, 104, 0, 1108, 168, 181, 34, 404, 100, 154, 16, 398, 8, 0, 208, -40, 368, 376, 540, 12, 194, -165, 96, 114, 0, -1572, 92, 144, 214, 102, 220, -134, 224, 140, 236, 0, 2272, 394, -10, -344, 68, 161, -158, 174, -334, -648, 0, -44, 30, 112, 66, -238, -332, -174, 76, 550, 40, 0, -80, -74, -256, -7, 242, -108, 32, -91, 130, -236], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 534697
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '847.2.a.m', 'target_level': 847, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534698
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '847.2.a.n', 'target_level': 847, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534699
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '847.2.f.y', 'target_level': 847, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 534700
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '847.2.f.y', 'target_level': 847, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534701
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '847.2.f.z', 'target_level': 847, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 534702
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '847.2.f.z', 'target_level': 847, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534703
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '5929.2.a.bj', 'target_level': 5929, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 534704
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '5929.2.a.bm', 'target_level': 5929, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '77.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 534705
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '7623.2.a.cp', 'target_level': 7623, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 534706
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '847.2.f.z', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 71, 'target_is_minimal': False, 'target_label': '7623.2.a.cs', 'target_level': 7623, 'twist_class_label': '847.2.a.m', 'twist_class_level': 847, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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hecke_orbit_code 112590334315201359 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 26, 'label': '847.2.f.z', 'level': 847, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 260147000
{'hecke_orbit_code': 112590334315201359, 'n': 1, 'trace_an': 24}
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id: 260147001
{'hecke_orbit_code': 112590334315201359, 'n': 2, 'trace_an': 4}
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id: 260147002
{'hecke_orbit_code': 112590334315201359, 'n': 3, 'trace_an': 2}
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id: 260147003
{'hecke_orbit_code': 112590334315201359, 'n': 4, 'trace_an': -4}
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id: 260147004
{'hecke_orbit_code': 112590334315201359, 'n': 5, 'trace_an': 4}
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id: 260147005
{'hecke_orbit_code': 112590334315201359, 'n': 6, 'trace_an': -6}
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id: 260147006
{'hecke_orbit_code': 112590334315201359, 'n': 7, 'trace_an': 6}
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id: 260147007
{'hecke_orbit_code': 112590334315201359, 'n': 8, 'trace_an': 12}
-
id: 260147008
{'hecke_orbit_code': 112590334315201359, 'n': 9, 'trace_an': -8}
-
id: 260147009
{'hecke_orbit_code': 112590334315201359, 'n': 10, 'trace_an': 32}
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id: 260147010
{'hecke_orbit_code': 112590334315201359, 'n': 11, 'trace_an': 0}
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id: 260147011
{'hecke_orbit_code': 112590334315201359, 'n': 12, 'trace_an': -56}
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id: 260147012
{'hecke_orbit_code': 112590334315201359, 'n': 13, 'trace_an': 4}
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id: 260147013
{'hecke_orbit_code': 112590334315201359, 'n': 14, 'trace_an': -4}
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id: 260147014
{'hecke_orbit_code': 112590334315201359, 'n': 15, 'trace_an': -2}
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id: 260147015
{'hecke_orbit_code': 112590334315201359, 'n': 16, 'trace_an': -8}
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id: 260147016
{'hecke_orbit_code': 112590334315201359, 'n': 17, 'trace_an': 22}
-
id: 260147017
{'hecke_orbit_code': 112590334315201359, 'n': 18, 'trace_an': 24}
-
id: 260147018
{'hecke_orbit_code': 112590334315201359, 'n': 19, 'trace_an': 6}
-
id: 260147019
{'hecke_orbit_code': 112590334315201359, 'n': 20, 'trace_an': -2}
-
id: 260147020
{'hecke_orbit_code': 112590334315201359, 'n': 21, 'trace_an': 8}
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id: 260147021
{'hecke_orbit_code': 112590334315201359, 'n': 22, 'trace_an': 0}
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id: 260147022
{'hecke_orbit_code': 112590334315201359, 'n': 23, 'trace_an': 8}
-
id: 260147023
{'hecke_orbit_code': 112590334315201359, 'n': 24, 'trace_an': -20}
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id: 260147024
{'hecke_orbit_code': 112590334315201359, 'n': 25, 'trace_an': -4}
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id: 260147025
{'hecke_orbit_code': 112590334315201359, 'n': 26, 'trace_an': -6}
-
id: 260147026
{'hecke_orbit_code': 112590334315201359, 'n': 27, 'trace_an': 2}
-
id: 260147027
{'hecke_orbit_code': 112590334315201359, 'n': 28, 'trace_an': 4}
-
id: 260147028
{'hecke_orbit_code': 112590334315201359, 'n': 29, 'trace_an': 12}
-
id: 260147029
{'hecke_orbit_code': 112590334315201359, 'n': 30, 'trace_an': 20}
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id: 260147030
{'hecke_orbit_code': 112590334315201359, 'n': 31, 'trace_an': 2}
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