Formats: - HTML - YAML - JSON - 2026-09-06T21:55:26.197245
  • mf_newformsShow schema
    {'Nk2': 480, 'analytic_conductor': 0.9582048242553646, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 120, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 4, 'char_parity': 1, 'char_values': [120, 4, [31, 61, 41, 97], [4, 2, 2, 3]], 'cm_discs': [-24], 'conrey_index': 53, 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [100, -40, 8, 4, 1]], [11, [10, -8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505111489413240, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 24, 8, -1, 2, -24], [1, 1, 5, 3, -1, 4, 0], [1, 1, 120, 23, 1, 4, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '120.2.w.b', 'level': 120, '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': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '120.2.w.a', 'nf_label': '4.0.2304.2', 'prim_orbit_index': 23, 'qexp_display': 'q+(1-\\beta _{2})q^{2}+\\beta _{1}q^{3}-2\\beta _{2}q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d4', 'self_twist_discs': [-24], 'self_twist_type': 1, 'space_label': '120.2.w', 'trace_display': [4, 0, -4, -4], 'trace_hash': 803057612164684211, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.856', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '97.447', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '3323.888', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.712', 'prec': 10}, 'traces': [4, 4, 0, 0, -4, 0, -4, -8, 0, -8, 16, 0, 0, 0, 12, -16, 0, 12, 0, -8, -24, 16, 0, 0, 0, 0, 0, 8, 0, 12, 0, -16, -12, 0, 8, 24, 0, 0, 0, 0, 0, -24, 0, 0, 12, 0, 0, 0, 0, -4, 0, 0, 0, 0, -28, 16, 0, 8, 0, 0, 0, 0, -12, 0, 0, -24, 0, 0, 0, 32, 0, 24, 28, 0, -24, 0, 8, 0, 0, 16, -36, 0, -16, 0, 0, 0, 36, -32, 0, 0, 0, 0, 24, 0, 0, 0, -4, -28, 0, -8, 56, 0, 28, 0, 12, 0, -32, 0, 0, -32, 0, 16, 0, 0, 0, 16, 0, -32, 0, -24, 44, 0, 0, 0, -28, -24, -44, 32, 0, 0, -64, -24, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, -28, 56, 48, 0, 0, -48, 8, 0, 0, 0, 24, 0, 0, 0, 0, 32, 0, -36, 0, 0, 48, -32, 0, 48, 0, 0, 0, 0, -56, 0, 52, -64, 36, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, -52, 0, 0, -56, 0, 48, 0, -8, 0, 56, 64, 0, 0, 56, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, -48, 0, 0, -8, 0, 0, -52, 0, 12, 0, 0, 0, 0, 0, -72, 16, 0, 0, 0, -64, -72, 0, 0, -48, 0, 44, 0, 0, -76, 0, 0, 0, 0, 0, 16, -24, 0, 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  • mf_hecke_ccShow schema
    {'an_normalized': [[1.0, 0.0], [0.7071067811865476, 0.7071067811865476], [0.7071067811865476, -0.7071067811865476], [0.0, 1.0], [0.10050896200520817, 0.9949361530051241], [1.0, 0.0], [-1.3037845727817787, -1.3037845727817787], [-0.7071067811865476, 0.7071067811865476], [0.0, -1.0], [-0.6324555320336759, 0.7745966692414834], [0.4674964324350581, 0.0], [0.7071067811865476, 0.7071067811865476], [0.0, 0.0], [0.0, -1.843829825240803], [0.7745966692414834, 0.6324555320336759], [-1.0, 0.0], [0.0, 0.0], [0.7071067811865476, -0.7071067811865476], [0.0, 0.0], [-0.9949361530051241, 0.10050896200520817], [-1.843829825240803, 0.0], [0.3305698975553482, 0.3305698975553482], [0.0, 0.0], [0.0, 1.0], [-0.9797958971132712, 0.2], [0.0, 0.0], [-0.7071067811865476, -0.7071067811865476], [1.3037845727817787, -1.3037845727817787], [0.0, 0.9931858020879224], [0.10050896200520817, 0.9949361530051241], [0.8798826901281197, 0.0], [-0.7071067811865476, -0.7071067811865476], [0.3305698975553482, -0.3305698975553482], [0.0, 0.0], [1.1661403731022317, -1.4282244412796323], [1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.7745966692414834, -0.6324555320336759], [0.0, 0.0], [-1.3037845727817787, -1.3037845727817787], [0.0, 0.0], [0.0, 0.4674964324350581], [0.9949361530051241, -0.10050896200520817], [0.0, 0.0], [0.0, 0.0], [-0.7071067811865476, 0.7071067811865476], [0.0, 2.3997084244475304], [-0.8342416792648604, -0.5513989667902414], [0.0, 0.0], [0.0, 0.0], [0.33646329245522655, -0.33646329245522655], [0.0, -1.0], [0.04698758116518562, 0.4651291020305566], [1.843829825240803, 0.0], [0.0, 0.0], [-0.7022884156345702, 0.7022884156345702], [0.0, 1.998200494061512], [-0.6324555320336759, 0.7745966692414834], [0.0, 0.0], [0.6221710168382552, 0.6221710168382552], [-1.3037845727817787, 1.3037845727817787], [0.0, -1.0], [0.0, 0.0], [0.4674964324350581, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.8344929531211949, -0.1853214218491975], [0.0, 0.0], [0.7071067811865476, 0.7071067811865476], [1.3926702094539098, -1.3926702094539098], [0.0, 0.0], [-0.5513989667902414, 0.8342416792648604], [0.0, 0.0], [-0.6095146364393479, -0.6095146364393479], [0.0, 0.0], [0.0, -1.6535347638286513], [-0.10050896200520817, -0.9949361530051241], [-1.0, 0.0], [0.0, 0.0], [-0.4390570399587614, 0.4390570399587614], [0.0, -1.843829825240803], [0.0, 0.0], [0.0, 0.0], [0.7022884156345702, 0.7022884156345702], [-0.3305698975553482, 0.3305698975553482], [0.0, 0.0], [0.7745966692414834, 0.6324555320336759], [0.0, 0.0], [0.0, 0.0], [0.6221710168382552, -0.6221710168382552], [0.0, 0.0], [0.0, 0.0], [-1.0, 0.0], [0.893297390234252, 0.893297390234252], [-1.6968500997973346, 1.6968500997973346], [0.0, -0.4674964324350581], [-0.2, -0.9797958971132712]], 'angles': [None, None, None, -0.43831207139278755, -0.2124504280702607, -0.125, -0.375, -0.25, -0.125, 0.08270789719256161, -0.17749961449364893, -0.375, 0.0, -0.125, -0.375, -0.33676793710018493, 0.24324804806139164, 0.0, -0.375, 0.0, -0.15281551733883136, -0.34508864467317596, -0.42524157522161277, -0.25, -0.01618763158941898, -0.15256727580701954, -0.3788645028471412, -0.21709016563827815, -0.25, -0.125, -0.4651281997893273, -0.39917780223849464, -0.375, -0.25, -0.35651930120558695, -0.2370338160086538, -0.375, -0.125, -0.375, 0.26061108059415244, -0.4444786680118773, 0.0, 0.0, -0.442642651220694, 0.040968768614769564, 0.08263895118536896, 0.0, 0.33188343670419895, -0.1810403234348484, -0.25, -0.125, -0.25, -0.05219071977136746, -0.09643312605316903, -0.375, -0.125, -0.4263067188834412, -0.1335320073949778, -0.375, 0.0, -0.125, 0.307223661829, -0.375, 0.0, -0.2053453531598207, 0.04415337948117219, 0.0, -0.3977410864819574, -0.012202245540525705, -0.25, -0.125, -0.25, -0.020405782192878613, -0.125, -0.25, -0.125, -0.26963264286786687, -0.375, 0.0, -0.28976083313729367, 0.16584825945293616, 0.0, 0.0, -0.4453955433185921, 0.15063772924383734, 0.2577364050413412, -0.25, 0.07577595991950012, -0.2987336662855625, -0.35324585884329973, -0.4406249879712943, -0.25, -0.0072144693426664545, -0.46028473730040376, -0.25, -0.125, 0.11501700027328143, 0.0, -0.125, 0.0], 'char_orbit_index': 23, 'conrey_index': 77, 'dual_conrey_index': 53, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 4, 'embedding_root_imag': -1.224744871391589, 'embedding_root_real': 1.224744871391589, 'hecke_orbit': 2, 'hecke_orbit_code': 4505111489413240, 'label': '120.2.w.b.77.2', 'level': 120, 'weight': 2}
  • mf_newspacesShow schema
    {'Nk2': 480, 'analytic_conductor': 0.9582048242553646, 'char_conductor': 120, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 4, 'char_parity': 1, 'char_values': [120, 4, [31, 61, 41, 97], [4, 2, 2, 3]], 'conrey_index': 53, 'cusp_dim': 40, 'dim': 40, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1511862042744, 'hecke_orbit_dims': [4, 4, 32], 'label': '120.2.w', 'level': 120, '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': [2, 3, 5], 'level_radical': 30, 'mf_dim': 56, 'mf_new_dim': 56, 'num_forms': 3, 'prim_orbit_index': 23, 'relative_dim': 20, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, 0, -8], 'traces': [40, 0, 0, 0, 0, -4, -8, 0, 0, -12, 0, -8, 0, 0, -4, -4, 0, -20, 0, 0, 0, -20, 0, 0, -8, 0, 0, 28, 0, -32, -32, 0, -16, 0, 0, 28, 0, 0, 0, 24, 0, -32, 0, 0, 0, 24, 0, 44, 0, 0, 0, 8, 0, 0, -48, 0, -16, 44, 0, 56, 0, 0, 24, 0, 0, 16, 0, 0, 0, 84, 0, 32, -8, 0, 0, -88, 0, 64, 0, 0, -24, 64, 0, 0, 0, 0, 64, -116, 0, 84, 0, 0, 0, 0, 0, -52, 8, 0, 0, -76, 0, 48, 24, 0, -24, -48, 0, -104, 0, 0, 56, -92, 0, 0, 0, 0, 0, -100, 0, -100, -56, 0, 0, 0, 0, -88, 56, 0, 0, -112, 0, -68, 0, 0, 52, 80, 0, -100, 0, 0, 0, -24, 0, 0, 48, 0, 0, 80, 0, -144, 96, 0, -40, 0, 0, 104, 0, 0, 0, 164, 0, -80, 0, 0, 0, 80, 0, 140, 0, 0, 0, 88, 0, 0, 56, 0, 56, 168, 0, 112, 0, 0, -72, 0, 0, 80, 0, 0, 0, 120, 0, 84, 24, 0, 0, -12, 0, 164, 0, 0, -24, 132, 0, 0, 0, 0, -144, -120, 0, 156, 0, 0, 0, 0, 0, -76, -48, 0, 0, -132, 0, 136, -88, 0, 80, -144, 0, -176, 0, 0, -208, -12, 0, 0, 0, 0, 0, -176, 0, -200, 48, 0, 0, 0, 0, -88, -208, 0, 0, -232, 0, -116, 0, 0, -128, 196, 0, -180, 0, 0, 0, -156, 0, 0, 8, 0, 0, 224, 0, -184, -128, 0, 120, 0, 0, 120, 0, 0, 0, 172, 0, -124, 0, 0, 0, -16, 0, 184, 0, 0, 0, 228, 0, 0, -64, 0, 0, 196, 0, 192, 0, 0, 104, 0, 0, 216, 0, 0, 0, 144, 0, 96, 24, 0, 0, -88, 0, 208, 0, 0, 72, -16, 0, 0, 0, 0, 192, -152, 0, 180, 0, 0, 0, 0, 0, -120, -40, 0, 0, -304, 0, 104, 240, 0, 64, -200, 0, -204, 0, 0, 200, -196, 0, 0, 0, 0, 0, -300, 0, -220, -56, 0, 0, 0, 0, -40, 280, 0, 0, -168, 0, -184, 0, 0, 148, 56, 0, -216, 0, 0, 0, -192, 0, 0, -144, 0, 0, 228, 0, -184, 272, 0, 16, 0, 0, 16, 0, 0, 0, 160, 0, -108, 0, 0, 0, 328, 0, 216, 0, 0, 0, 44, 0, 0, 216, 0, -64, 88, 0, 268, 0, 0, -192, 0, 0, 200, 0, 0, 0, 312, 0, 196, -120, 0, 0, -272, 0, 244, 0, 0, 128, 208, 0, 0, 0, 0, -264, -324, 0, 236, 0, 0, 0, 0, 0, -264, -24, 0, 0, -224, 0, 104, -136, 0, -160, 96, 0, -216, 0, 0, -280, -220, 0, 0, 0, 0, 0, -200, 0, -276, -48, 0, 0, 0, 0, -164, -232, 0, 0, -144, 0, -112, 0, 0, -160, 88, 0, -252, 0, 0, 0, -12, 0, 0, -80, 0, 0, 252, 0, -176, -368, 0, -160, 0, 0, 128, 0, 0, 0, 392, 0, -100, 0, 0, 0, 344, 0, 204, 0, 0, 0, 120, 0, 0, -136, 0, 8, 364, 0, 252, 0, 0, 208, 0, 0, 40, 0, 0, 0, 188, 0, 160, -32, 0, 0, -56, 0, 184, 0, 0, -192, 296, 0, 0, 0, 0, 328, -184, 0, 264, 0, 0, 0, 0, 0, -140, 152, 0, 0, -116, 0, 188, 48, 0, -88, -272, 0, -208, 0, 0, 424, 112, 0, 0, 0, 0, 0, -80, 0, -188, 16, 0, 0, 0, 0, -264, 392, 0, 0, -296, 0, -128, 0, 0, 264, 136, 0, -296, 0, 0, 0, -216, 0, 0, 200, 0, 0, 336, 0, -244, 320, 0, -40, 0, 0, 216, 0, 0, 0, 176, 0, -188, 0, 0, 0, -240, 0, 272, 0, 0, 0, 296, 0, 0, 128, 0, 96, 192, 0, 208, 0, 0, -232, 0, 0, 24, 0, 0, 0, 176, 0, 132, 232, 0, 0, -204, 0, 264, 0, 0, -24, -168, 0, 0, 0, 0, -424, -80, 0, 220, 0, 0, 0, 0, 0, -8, 256, 0, 0, -396, 0, 88, -496, 0, 136, -384, 0, -196, 0, 0, -288, -312, 0, 0, 0, 0, 0, -360, 0, -200, 80, 0, 0, 0, 0, -332, -456, 0, 0, -228, 0, -72, 0, 0, -268, -24, 0, -192, 0, 0, 0, -288, 0, 0, 192, 0, 0, 16, 0, -232, -416, 0, 208, 0, 0, 232, 0, 0, 0, 88, 0, -168, 0, 0, 0, 120, 0, 204, 0, 0, 0, -156, 0, 0, -528, 0, 56, 156, 0, 200, 0, 0, 352, 0, 0, 80, 0, 0, 0, 456, 0, 188, 224, 0, 0, -208, 0, 160, 0, 0, 16, 200, 0, 0, 0, 0, 472, -428, 0, 196, 0, 0, 0, 0, 0, 80, -256, 0, 0, -72, 0, 112, 216, 0, 16, 232, 0, -208, 0, 0, 520, -376, 0, 0, 0, 0, 0, -188, 0, -120, 232, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, -120, 0, 0, 176, 368, 0, -152, 0, 0, 0, 184, 0, 0, -296, 0, 0, 104, 0, -180, 528, 0, 176, 0, 0, 192, 0, 0, 0, 196, 0, -124, 0, 0, 0, 312, 0, 168, 0, 0, 0, 220, 0, 0, 320, 0, -296, 440, 0, 208, 0, 0, -224, 0, 0, 216, 0, 0, 0, 32, 0, 24, -416, 0, 0, 288, 0, 88, 0, 0, 8, 372, 0, 0, 0, 0, -456, -68, 0, 104, 0, 0, 0, 0, 0, -208, 40, 0, 0, -136, 0, 96, -80, 0, -256, -176, 0, -200, 0, 0, -424, 176, 0, 0, 0, 0, 0, 40, 0, -108, -344, 0, 0, 0, 0, 184, -536, 0, 0, -380, 0, -104, 0, 0, -256, 480, 0, -92, 0, 0, 0, -196, 0, 0, -104, 0, 0, 320, 0, -208, -480, 0, -328, 0, 0, -48, 0, 0, 0, 132], 'weight': 2, 'weight_parity': 1}
  • mf_twists_ccShow schema
    • id: 37885926
      {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 77, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505111489413240, 'target_is_minimal': True, 'target_label': '120.2.w.b.77.2', 'target_level': 120, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
    • id: 37885927
      {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 77, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1511862042744, 'target_is_minimal': True, 'target_label': '120.2.w.a.77.1', 'target_level': 120, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
    • id: 37885928
      {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2336495763936, 'target_is_minimal': False, 'target_label': '480.2.bi.a.17.1', 'target_level': 480, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
    • id: 37885929
      {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 293, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505111489413720, 'target_is_minimal': False, 'target_label': '600.2.w.b.293.1', 'target_level': 600, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
    • id: 37885930
      {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 53, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505111489413240, 'target_is_minimal': True, 'target_label': '120.2.w.b.53.2', 'target_level': 120, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
    • id: 37885931
      {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 557, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505111489413720, 'target_is_minimal': False, 'target_label': '600.2.w.b.557.1', 'target_level': 600, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
    • id: 37885932
      {'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505936123134432, 'target_is_minimal': False, 'target_label': '480.2.bi.b.17.2', 'target_level': 480, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
    • id: 37885933
      {'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 77, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1511862042744, 'target_is_minimal': True, 'target_label': '120.2.w.a.77.1', 'target_level': 120, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
    • id: 37885934
      {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505936123134432, 'target_is_minimal': False, 'target_label': '480.2.bi.b.17.2', 'target_level': 480, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
    • id: 37885935
      {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 293, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526709253636696, 'target_is_minimal': False, 'target_label': '600.2.w.h.293.2', 'target_level': 600, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
    • id: 37885936
      {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 53, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1511862042744, 'target_is_minimal': True, 'target_label': '120.2.w.a.53.1', 'target_level': 120, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
    • id: 37885937
      {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 557, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526709253636696, 'target_is_minimal': False, 'target_label': '600.2.w.h.557.2', 'target_level': 600, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
    • id: 37885938
      {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 113, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2336495763936, 'target_is_minimal': False, 'target_label': '480.2.bi.a.113.1', 'target_level': 480, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
    • id: 37885939
      {'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 77, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505111489413240, 'target_is_minimal': True, 'target_label': '120.2.w.b.77.2', 'target_level': 120, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
    • id: 37885940
      {'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2336495763936, 'target_is_minimal': False, 'target_label': '480.2.bi.a.17.1', 'target_level': 480, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
    • id: 37885941
      {'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 113, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505936123134432, 'target_is_minimal': False, 'target_label': '480.2.bi.b.113.2', 'target_level': 480, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 2}
    • id: 37885942
      {'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 53, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1511862042744, 'target_is_minimal': True, 'target_label': '120.2.w.a.53.1', 'target_level': 120, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 2}
    • id: 37885943
      {'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 557, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526709253636696, 'target_is_minimal': False, 'target_label': '600.2.w.h.557.2', 'target_level': 600, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
    • id: 37885944
      {'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 293, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526709253636696, 'target_is_minimal': False, 'target_label': '600.2.w.h.293.2', 'target_level': 600, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 2}
    • id: 37885945
      {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 113, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505936123134432, 'target_is_minimal': False, 'target_label': '480.2.bi.b.113.2', 'target_level': 480, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
    • id: 37885946
      {'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 557, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505111489413720, 'target_is_minimal': False, 'target_label': '600.2.w.b.557.1', 'target_level': 600, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 2}
    • id: 37885947
      {'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 53, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505111489413240, 'target_is_minimal': True, 'target_label': '120.2.w.b.53.2', 'target_level': 120, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 2}
    • id: 37885948
      {'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 293, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505111489413720, 'target_is_minimal': False, 'target_label': '600.2.w.b.293.1', 'target_level': 600, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '120.77', 'twisting_conrey_index': 77, 'weight': 2}
    • id: 37885949
      {'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 77, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505111489413240, 'source_is_minimal': True, 'source_label': '120.2.w.b.77.2', 'source_level': 120, 'target_conrey_index': 113, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2336495763936, 'target_is_minimal': False, 'target_label': '480.2.bi.a.113.1', 'target_level': 480, 'twist_class_label': '120.2.w.a.53.1', 'twist_class_level': 120, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 2}
  • mf_hecke_charpolysShow schema
    • id: 339400
      {'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 4505111489413240, 'p': 2}
    • id: 339401
      {'charpoly_factorization': [[[9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4505111489413240, 'p': 3}
    • id: 339402
      {'charpoly_factorization': [[[25, 20, 8, 4, 1], 1]], 'hecke_orbit_code': 4505111489413240, 'p': 5}
    • id: 339403
      {'charpoly_factorization': [[[100, -40, 8, 4, 1], 1]], 'hecke_orbit_code': 4505111489413240, 'p': 7}
    • id: 339404
      {'charpoly_factorization': [[[10, -8, 1], 2]], 'hecke_orbit_code': 4505111489413240, 'p': 11}
    • id: 339405
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 13}
    • id: 339406
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 17}
    • id: 339407
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 19}
    • id: 339408
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 23}
    • id: 339409
      {'charpoly_factorization': [[[2500, 0, 116, 0, 1], 1]], 'hecke_orbit_code': 4505111489413240, 'p': 29}
    • id: 339410
      {'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 4505111489413240, 'p': 31}
    • id: 339411
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 37}
    • id: 339412
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 41}
    • id: 339413
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 43}
    • id: 339414
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 47}
    • id: 339415
      {'charpoly_factorization': [[[144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4505111489413240, 'p': 53}
    • id: 339416
      {'charpoly_factorization': [[[100, 0, 236, 0, 1], 1]], 'hecke_orbit_code': 4505111489413240, 'p': 59}
    • id: 339417
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 61}
    • id: 339418
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 67}
    • id: 339419
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 71}
    • id: 339420
      {'charpoly_factorization': [[[2500, -1400, 392, -28, 1], 1]], 'hecke_orbit_code': 4505111489413240, 'p': 73}
    • id: 339421
      {'charpoly_factorization': [[[216, 0, 1], 2]], 'hecke_orbit_code': 4505111489413240, 'p': 79}
    • id: 339422
      {'charpoly_factorization': [[[32, 8, 1], 2]], 'hecke_orbit_code': 4505111489413240, 'p': 83}
    • id: 339423
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413240, 'p': 89}
    • id: 339424
      {'charpoly_factorization': [[[36100, -760, 8, 4, 1], 1]], 'hecke_orbit_code': 4505111489413240, 'p': 97}
  • mf_newform_portraitsShow schema
    {'char_orbit_index': 23, 'hecke_orbit': 2, 'label': '120.2.w.b', 'level': 120, 'portrait': 'data:image/png;base64,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', 'weight': 2}
  • mf_hecke_tracesShow schema
    Showing the first 100 of 258 matching records in this table.
    • id: 24867307
      {'hecke_orbit_code': 4505111489413240, 'n': 1, 'trace_an': 4}
    • id: 24867308
      {'hecke_orbit_code': 4505111489413240, 'n': 2, 'trace_an': 4}
    • id: 24867309
      {'hecke_orbit_code': 4505111489413240, 'n': 3, 'trace_an': 0}
    • id: 24867310
      {'hecke_orbit_code': 4505111489413240, 'n': 4, 'trace_an': 0}
    • id: 24867311
      {'hecke_orbit_code': 4505111489413240, 'n': 5, 'trace_an': -4}
    • id: 24867312
      {'hecke_orbit_code': 4505111489413240, 'n': 6, 'trace_an': 0}
    • id: 24867313
      {'hecke_orbit_code': 4505111489413240, 'n': 7, 'trace_an': -4}
    • id: 24867314
      {'hecke_orbit_code': 4505111489413240, 'n': 8, 'trace_an': -8}
    • id: 24867315
      {'hecke_orbit_code': 4505111489413240, 'n': 9, 'trace_an': 0}
    • id: 24867316
      {'hecke_orbit_code': 4505111489413240, 'n': 10, 'trace_an': -8}
    • id: 24867317
      {'hecke_orbit_code': 4505111489413240, 'n': 11, 'trace_an': 16}
    • id: 24867318
      {'hecke_orbit_code': 4505111489413240, 'n': 12, 'trace_an': 0}
    • id: 24867319
      {'hecke_orbit_code': 4505111489413240, 'n': 13, 'trace_an': 0}
    • id: 24867320
      {'hecke_orbit_code': 4505111489413240, 'n': 14, 'trace_an': 0}
    • id: 24867321
      {'hecke_orbit_code': 4505111489413240, 'n': 15, 'trace_an': 12}
    • id: 24867322
      {'hecke_orbit_code': 4505111489413240, 'n': 16, 'trace_an': -16}
    • id: 24867323
      {'hecke_orbit_code': 4505111489413240, 'n': 17, 'trace_an': 0}
    • id: 24867324
      {'hecke_orbit_code': 4505111489413240, 'n': 18, 'trace_an': 12}
    • id: 24867325
      {'hecke_orbit_code': 4505111489413240, 'n': 19, 'trace_an': 0}
    • id: 24867326
      {'hecke_orbit_code': 4505111489413240, 'n': 20, 'trace_an': -8}
    • id: 24867327
      {'hecke_orbit_code': 4505111489413240, 'n': 21, 'trace_an': -24}
    • id: 24867328
      {'hecke_orbit_code': 4505111489413240, 'n': 22, 'trace_an': 16}
    • id: 24867329
      {'hecke_orbit_code': 4505111489413240, 'n': 23, 'trace_an': 0}
    • id: 24867330
      {'hecke_orbit_code': 4505111489413240, 'n': 24, 'trace_an': 0}
    • id: 24867331
      {'hecke_orbit_code': 4505111489413240, 'n': 25, 'trace_an': 0}
    • id: 24867332
      {'hecke_orbit_code': 4505111489413240, 'n': 26, 'trace_an': 0}
    • id: 24867333
      {'hecke_orbit_code': 4505111489413240, 'n': 27, 'trace_an': 0}
    • id: 24867334
      {'hecke_orbit_code': 4505111489413240, 'n': 28, 'trace_an': 8}
    • id: 24867335
      {'hecke_orbit_code': 4505111489413240, 'n': 29, 'trace_an': 0}
    • id: 24867336
      {'hecke_orbit_code': 4505111489413240, 'n': 30, 'trace_an': 12}
    • id: 24867337
      {'hecke_orbit_code': 4505111489413240, 'n': 31, 'trace_an': 0}
    • id: 24867338
      {'hecke_orbit_code': 4505111489413240, 'n': 32, 'trace_an': -16}
    • id: 24867339
      {'hecke_orbit_code': 4505111489413240, 'n': 33, 'trace_an': -12}
    • id: 24867340
      {'hecke_orbit_code': 4505111489413240, 'n': 34, 'trace_an': 0}
    • id: 24867341
      {'hecke_orbit_code': 4505111489413240, 'n': 35, 'trace_an': 8}
    • id: 24867342
      {'hecke_orbit_code': 4505111489413240, 'n': 36, 'trace_an': 24}
    • id: 24867343
      {'hecke_orbit_code': 4505111489413240, 'n': 37, 'trace_an': 0}
    • id: 24867344
      {'hecke_orbit_code': 4505111489413240, 'n': 38, 'trace_an': 0}
    • id: 24867345
      {'hecke_orbit_code': 4505111489413240, 'n': 39, 'trace_an': 0}
    • id: 24867346
      {'hecke_orbit_code': 4505111489413240, 'n': 40, 'trace_an': 0}
    • id: 24867347
      {'hecke_orbit_code': 4505111489413240, 'n': 41, 'trace_an': 0}
    • id: 24867348
      {'hecke_orbit_code': 4505111489413240, 'n': 42, 'trace_an': -24}
    • id: 24867349
      {'hecke_orbit_code': 4505111489413240, 'n': 43, 'trace_an': 0}
    • id: 24867350
      {'hecke_orbit_code': 4505111489413240, 'n': 44, 'trace_an': 0}
    • id: 24867351
      {'hecke_orbit_code': 4505111489413240, 'n': 45, 'trace_an': 12}
    • id: 24867352
      {'hecke_orbit_code': 4505111489413240, 'n': 46, 'trace_an': 0}
    • id: 24867353
      {'hecke_orbit_code': 4505111489413240, 'n': 47, 'trace_an': 0}
    • id: 24867354
      {'hecke_orbit_code': 4505111489413240, 'n': 48, 'trace_an': 0}
    • id: 24867355
      {'hecke_orbit_code': 4505111489413240, 'n': 49, 'trace_an': 0}
    • id: 24867356
      {'hecke_orbit_code': 4505111489413240, 'n': 50, 'trace_an': -4}
    • id: 24867357
      {'hecke_orbit_code': 4505111489413240, 'n': 51, 'trace_an': 0}
    • id: 24867358
      {'hecke_orbit_code': 4505111489413240, 'n': 52, 'trace_an': 0}
    • id: 24867359
      {'hecke_orbit_code': 4505111489413240, 'n': 53, 'trace_an': 0}
    • id: 24867360
      {'hecke_orbit_code': 4505111489413240, 'n': 54, 'trace_an': 0}
    • id: 24867361
      {'hecke_orbit_code': 4505111489413240, 'n': 55, 'trace_an': -28}
    • id: 24867362
      {'hecke_orbit_code': 4505111489413240, 'n': 56, 'trace_an': 16}
    • id: 24867363
      {'hecke_orbit_code': 4505111489413240, 'n': 57, 'trace_an': 0}
    • id: 24867364
      {'hecke_orbit_code': 4505111489413240, 'n': 58, 'trace_an': 8}
    • id: 24867365
      {'hecke_orbit_code': 4505111489413240, 'n': 59, 'trace_an': 0}
    • id: 24867366
      {'hecke_orbit_code': 4505111489413240, 'n': 60, 'trace_an': 0}
    • id: 24867367
      {'hecke_orbit_code': 4505111489413240, 'n': 61, 'trace_an': 0}
    • id: 24867368
      {'hecke_orbit_code': 4505111489413240, 'n': 62, 'trace_an': 0}
    • id: 24867369
      {'hecke_orbit_code': 4505111489413240, 'n': 63, 'trace_an': -12}
    • id: 24867370
      {'hecke_orbit_code': 4505111489413240, 'n': 64, 'trace_an': 0}
    • id: 24867371
      {'hecke_orbit_code': 4505111489413240, 'n': 65, 'trace_an': 0}
    • id: 24867372
      {'hecke_orbit_code': 4505111489413240, 'n': 66, 'trace_an': -24}
    • id: 24867373
      {'hecke_orbit_code': 4505111489413240, 'n': 67, 'trace_an': 0}
    • id: 24867374
      {'hecke_orbit_code': 4505111489413240, 'n': 68, 'trace_an': 0}
    • id: 24867375
      {'hecke_orbit_code': 4505111489413240, 'n': 69, 'trace_an': 0}
    • id: 24867376
      {'hecke_orbit_code': 4505111489413240, 'n': 70, 'trace_an': 32}
    • id: 24867377
      {'hecke_orbit_code': 4505111489413240, 'n': 71, 'trace_an': 0}
    • id: 24867378
      {'hecke_orbit_code': 4505111489413240, 'n': 72, 'trace_an': 24}
    • id: 24867379
      {'hecke_orbit_code': 4505111489413240, 'n': 73, 'trace_an': 28}
    • id: 24867380
      {'hecke_orbit_code': 4505111489413240, 'n': 74, 'trace_an': 0}
    • id: 24867381
      {'hecke_orbit_code': 4505111489413240, 'n': 75, 'trace_an': -24}
    • id: 24867382
      {'hecke_orbit_code': 4505111489413240, 'n': 76, 'trace_an': 0}
    • id: 24867383
      {'hecke_orbit_code': 4505111489413240, 'n': 77, 'trace_an': 8}
    • id: 24867384
      {'hecke_orbit_code': 4505111489413240, 'n': 78, 'trace_an': 0}
    • id: 24867385
      {'hecke_orbit_code': 4505111489413240, 'n': 79, 'trace_an': 0}
    • id: 24867386
      {'hecke_orbit_code': 4505111489413240, 'n': 80, 'trace_an': 16}
    • id: 24867387
      {'hecke_orbit_code': 4505111489413240, 'n': 81, 'trace_an': -36}
    • id: 24867388
      {'hecke_orbit_code': 4505111489413240, 'n': 82, 'trace_an': 0}
    • id: 24867389
      {'hecke_orbit_code': 4505111489413240, 'n': 83, 'trace_an': -16}
    • id: 24867390
      {'hecke_orbit_code': 4505111489413240, 'n': 84, 'trace_an': 0}
    • id: 24867391
      {'hecke_orbit_code': 4505111489413240, 'n': 85, 'trace_an': 0}
    • id: 24867392
      {'hecke_orbit_code': 4505111489413240, 'n': 86, 'trace_an': 0}
    • id: 24867393
      {'hecke_orbit_code': 4505111489413240, 'n': 87, 'trace_an': 36}
    • id: 24867394
      {'hecke_orbit_code': 4505111489413240, 'n': 88, 'trace_an': -32}
    • id: 24867395
      {'hecke_orbit_code': 4505111489413240, 'n': 89, 'trace_an': 0}
    • id: 24867396
      {'hecke_orbit_code': 4505111489413240, 'n': 90, 'trace_an': 0}
    • id: 24867397
      {'hecke_orbit_code': 4505111489413240, 'n': 91, 'trace_an': 0}
    • id: 24867398
      {'hecke_orbit_code': 4505111489413240, 'n': 92, 'trace_an': 0}
    • id: 24867399
      {'hecke_orbit_code': 4505111489413240, 'n': 93, 'trace_an': 24}
    • id: 24867400
      {'hecke_orbit_code': 4505111489413240, 'n': 94, 'trace_an': 0}
    • id: 24867401
      {'hecke_orbit_code': 4505111489413240, 'n': 95, 'trace_an': 0}
    • id: 24867402
      {'hecke_orbit_code': 4505111489413240, 'n': 96, 'trace_an': 0}
    • id: 24867403
      {'hecke_orbit_code': 4505111489413240, 'n': 97, 'trace_an': -4}
    • id: 24867404
      {'hecke_orbit_code': 4505111489413240, 'n': 98, 'trace_an': -28}
    • id: 24867405
      {'hecke_orbit_code': 4505111489413240, 'n': 99, 'trace_an': 0}
    • id: 24867406
      {'hecke_orbit_code': 4505111489413240, 'n': 100, 'trace_an': -8}