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{'Nk2': 31460, 'analytic_conductor': 62.80234118973702, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [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': [7865, 1, [3147, 3511, 1211], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 22, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [5, 100, 486, -917, -7620, 6845, 31446, -20896, -58229, 28798, 58453, -21173, -34796, 9054, 12804, -2323, -2933, 352, 406, -29, -31, 1, 1]], [3, [-496, 2752, 41820, 96536, -125619, -674753, -525726, 652651, 1000459, -98629, -681963, -143944, 234857, 90466, -43093, -24001, 3660, 3354, -1, -241, -21, 7, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991529657, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7865.2.a.bj', 'level': 7865, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 11, 13], 'level_radical': 715, 'minimal_twist': '715.2.v.c', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 22, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7865.2.a', 'trace_display': [-1, -7, -22, -5], 'traces': [22, -1, -7, 19, -22, 11, -5, -3, 25, 1, 0, -24, -22, -1, 7, 17, 8, -15, 1, -19, -7, 0, -13, 30, 22, 1, -19, 25, 6, -11, -47, -7, 0, -26, 5, 8, -27, -32, 7, 3, -1, -8, 28, 0, -25, -19, -51, -74, -27, -1, 3, -19, -9, 34, 0, 22, 40, -54, 20, 24, 23, 2, -39, 3, 22, 0, -24, 39, -16, 1, 1, -57, -14, -54, -7, -40, 0, -11, 57, -17, 34, -58, -10, -35, -8, 53, -9, 0, 29, 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label 7865.2.a.bj does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [55, 59, 55, 50, 57, 45, 50, 65], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [51, 58, 63, 60, 60, 60, 60, 53], 'Nk2': 31460, 'analytic_conductor': 62.80234118973702, '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': [7865, 1, [3147, 3511, 1211], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 901, 'dim': 436, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33562297, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 11, 11, 11, 11, 16, 16, 18, 18, 22, 22, 22, 22, 26, 26, 30, 30], 'label': '7865.2.a', 'level': 7865, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 11, 13], 'level_radical': 715, 'mf_dim': 948, 'mf_new_dim': 436, 'num_forms': 42, 'plus_dim': 200, 'prim_orbit_index': 1, 'relative_dim': 436, 'sturm_bound': 1848, 'trace_bound': 6, 'trace_display': [6, 4, -2, 4], 'traces': [436, 6, 4, 436, -2, -4, 4, 18, 444, -4, 0, -8, 2, -16, -4, 452, 12, 10, 0, -6, -4, 0, 16, -32, 436, 0, 28, 28, 0, -4, -4, 22, 0, 8, -4, 476, 32, 20, 0, -24, 20, 60, 24, 0, -18, -16, -20, 52, 452, 6, -32, 6, 8, 36, 0, -8, 52, 24, 16, 16, 8, -8, -4, 468, 4, 0, 36, -36, 8, 8, -40, 94, 48, 32, 4, -20, 0, 16, 24, -14, 436, 88, -44, 132, -16, 0, 44, 0, 24, -8, 4, 92, -12, 32, -8, -108, 28, -2, 0, 436, -8, -24, -20, -12, -12, -28, 24, -12, -20, 0, -12, 76, 60, 152, -8, -96, 10, -52, 72, -8, 0, -104, -8, 56, -2, -96, 52, -6, 64, -2, -72, 0, 108, 80, -4, 0, 68, -4, 32, 12, -4, 156, 0, 628, -4, 24, 68, 144, -28, -4, -64, 80, 60, 0, 12, -20, 12, -32, 32, -52, -12, 82, 84, 92, 0, 8, -28, 92, 436, 12, 28, 84, -64, 140, 4, 0, 28, -156, 40, 2, 8, 16, 68, 12, -4, -56, 0, 92, -104, -28, -8, 256, 92, 64, 8, 420, -84, 0, 0, 18, 28, 52, 32, 64, -40, 44, 12, -18, 0, 44, 40, -416, 20, -440, 24, 44, 92, -440, 12, 0, 16, -36, 28, -392, 444, -112, 12, -52, 32, 8, 0, -344, 64, 52, -28, 100, -80, -72, -172, -4, -44, 0, -292, 56, -18, -576, -20, -12, -52, -4, -360, 60, 0, -260, 16, 484, 32, -460, 48, 12, 32, -48, 44, 0, -52, -116, -352, -236, -96, 12, -24, -68, 12, 32, 0, 0, 104, -520, -16, -32, -92, 68, -64, -428, 12, 0, -56, -54, 524, 12, -280, 256, 40, 172, 16, 24, 0, 0, -12, -8, 164, -364, -176, -8, -52, -480, 52, 0, 24, -56, 80, 28, 116, 120, 44, -232, 56, -112, 0, 42, -88, -188, -424, 652, 2, 0, -48, 128, -8, 0, 116, -108, 144, 16, 52, 108, 76, 6, -32, -88, 0, -168, 224, -388, -80, 4, -76, -36, -64, -16, 12, 0, -24, 56, 56, 24, -72, -56, -8, 36, 484, -136, 0, 76, -12, 236, 12, -32, -124, 12, 152, 92, 12, 0, -4, 120, 12, 288, 108, 36, 0, -64, -44, 88, 0, -352, -52, 148, -32, -8, 16, 250, 104, -416, 40, 0, 48, -216, 80, 452, 40, -140, 24, -168, -26, 64, 0, 64, -76, 84, -384, -48, -4, 60, -52, 16, -40, 0, -192, 60, 140, -368, 28, -124, 12, -88, 96, -28, 0, -40, -12, 20, 16, 524, -20, 44, -36, -300, -48, 0, 580, -20, 140, 276, -4, 104, -208, 196, 148, 10, 0, -228, 44, -424, -20, -16, 4, -236, -208, -444, -112, 0, 140, -160, 36, -308, -492, -26, -64, 8, 184, -160, 0, -224, 0, 400, 40, 448, 72, 60, -4, 224, 48, 0, 24, 180, 44, -32, 44, 68, -40, 248, 232, -40, 0, -188, -60, -308, 64, -6, 276, -72, 8, 256, -76, 0, 4, 120, -24, -280, 368, -42, 208, -52, -52, 272, 0, -368, -56, -6, 144, 224, 60, -160, -4, -468, -136, 0, 556, 0, -268, 260, -24, -56, 80, 176, 144, -76, 0, 60, 24, 476, 276, -528, -48, -12, 112, 308, -48, 0, 132, -284, 456, -332, -20, -64, 32, 12, 4, 52, 0, 216, 208, -84, -56, -208, 52, 16, -96, 184, 96, 0, 168, -128, 16, 1052, 368, -102, -48, 12, 248, -24, 0, 8, 12, -216, 164, 152, 8, 12, 240, -432, 92, 0, 16, -180, 128, -68, 112, -32, 48, -228, -284, -204, 0, -384, -48, -20, -352, -460, 36, -68, 100, -240, 8, 0, 348, -28, -80, 144, -104, -176, -144, 56, 436, -80, 0, 76, 16, -280, 236, -296, 232, -168, 76, -176, 66, 0, -196, -24, -504, -188, 60, 28, -48, 176, 108, -26, 0, 0, 184, 324, 212, 264, 40, 348, 176, 72, 128, 0, 132, -128, 8, -192, 36, -200, 44, -172, -212, 80, 0, 476, 252, -176, 28, 436, 8, 56, -40, 68, -4, 0, -356, -32, -8, -336, -136, 224, -4, 84, 20, 56, 0, -204, 72, 188, 248, -44, 96, 28, 56, 20, 76, 0, -348, 192, -112, -76, -48, 148, 296, -220, -268, 208, 0, 320, -28, -228, 168, 194, 164, -174, 16, 144, 0, 0, 352, 8, 516, 4, 192, -316, -12, 196, 132, 160, 0, 72, 76, 124, 92, 384, 76, 16, -96, 504, 12, 0, -196, -4, 40, -76, 224, -28, -24, 176, 208, 64, 0, -408, -240, 36, 384, 88, -96, 112, 52, 332, 40, 0, -360, 252, 88, -100, -4, -144, -200, 364, 368, 20, 0, 352, -216, 700, 8, 168, 68, -348, 232, 144, 224, 0, 28, 400, 128, -240, 356, -520, -104, 22, -304, -108, 0, 460, 12, 4, -64, 196, 0, 144, -84, -416, -68, 0, 76, 144, 308, 32, 20, 16, -292, -256, 260, -88, 0, 532, 84, 248, 168, -328, 128, -58, -164, 216, -44, 0, -72, -104, 196, 436, 388, -256, 296, 240, -2, 176, 0, -808, -32, 8, -604, 204, 152, 280, -44, -548, -96, 0, 144, 140, -272, -232, -676, 228, -36, 12, -276, -68, 0, 300, -36, -688, -12, -336, -4, -204, -76, -72, -284, 0, 208, -454, -728, 56, 148, 124, 44, -260, 76, 120, 0, 68, -172, -80, -24, -760, 104, 8, -148, 476, -184, 0, 96, -104, -28, -64, 180, 52, 48, 8, -672, -292, 0, -464, 60, -72, 192, -192, 24, 84, -156, -52, 4, 0, 32, 248, 240, -376, -540, 48, 264, 160, 160, 92, 0, 72, 32, 136, 200, 60, -56, 120, 176, 600, -160, 0, -764, -384, 44, 20, 260, -448, 64, 60, 24, -456, 0, 284, 40, -416, 524, 52, -220, -356, 0, -128, 196, 0, -880, -92, 24, -920, 72, 176, 0, 80, -1352, 44, 0, -86, -316, 0, 428, -1352, -32, -24, -440, 48, -48, 0, -760, 104, -1124, 172, -72, -292, 96, -92, -152, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1367341
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 22, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7865.2.a.bj', 'source_level': 7865, 'target_char_orbit': 22, 'target_dim': 44, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '715.2.v.c', 'target_level': 715, 'twist_class_label': '715.2.v.c', 'twist_class_level': 715, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1367342
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 22, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7865.2.a.bj', 'source_level': 7865, 'target_char_orbit': 1, 'target_dim': 22, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7865.2.a.bj', 'target_level': 7865, 'twist_class_label': '715.2.v.c', 'twist_class_level': 715, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1367343
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 22, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7865.2.a.bj', 'source_level': 7865, 'target_char_orbit': 1, 'target_dim': 22, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '7865.2.a.bk', 'target_level': 7865, 'twist_class_label': '715.2.v.c', 'twist_class_level': 715, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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hecke_orbit_code 157625986991529657 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '7865.2.a.bj', 'level': 7865, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69807553
{'hecke_orbit_code': 157625986991529657, 'n': 1, 'trace_an': 22}
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id: 69807554
{'hecke_orbit_code': 157625986991529657, 'n': 2, 'trace_an': -1}
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id: 69807555
{'hecke_orbit_code': 157625986991529657, 'n': 3, 'trace_an': -7}
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id: 69807556
{'hecke_orbit_code': 157625986991529657, 'n': 4, 'trace_an': 19}
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id: 69807557
{'hecke_orbit_code': 157625986991529657, 'n': 5, 'trace_an': -22}
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id: 69807558
{'hecke_orbit_code': 157625986991529657, 'n': 6, 'trace_an': 11}
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id: 69807559
{'hecke_orbit_code': 157625986991529657, 'n': 7, 'trace_an': -5}
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id: 69807560
{'hecke_orbit_code': 157625986991529657, 'n': 8, 'trace_an': -3}
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id: 69807561
{'hecke_orbit_code': 157625986991529657, 'n': 9, 'trace_an': 25}
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id: 69807562
{'hecke_orbit_code': 157625986991529657, 'n': 10, 'trace_an': 1}
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id: 69807563
{'hecke_orbit_code': 157625986991529657, 'n': 11, 'trace_an': 0}
-
id: 69807564
{'hecke_orbit_code': 157625986991529657, 'n': 12, 'trace_an': -24}
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id: 69807565
{'hecke_orbit_code': 157625986991529657, 'n': 13, 'trace_an': -22}
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id: 69807566
{'hecke_orbit_code': 157625986991529657, 'n': 14, 'trace_an': -1}
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id: 69807567
{'hecke_orbit_code': 157625986991529657, 'n': 15, 'trace_an': 7}
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id: 69807568
{'hecke_orbit_code': 157625986991529657, 'n': 16, 'trace_an': 17}
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id: 69807569
{'hecke_orbit_code': 157625986991529657, 'n': 17, 'trace_an': 8}
-
id: 69807570
{'hecke_orbit_code': 157625986991529657, 'n': 18, 'trace_an': -15}
-
id: 69807571
{'hecke_orbit_code': 157625986991529657, 'n': 19, 'trace_an': 1}
-
id: 69807572
{'hecke_orbit_code': 157625986991529657, 'n': 20, 'trace_an': -19}
-
id: 69807573
{'hecke_orbit_code': 157625986991529657, 'n': 21, 'trace_an': -7}
-
id: 69807574
{'hecke_orbit_code': 157625986991529657, 'n': 22, 'trace_an': 0}
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id: 69807575
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