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mf_newforms • Show schema
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{'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 12, 'char_parity': 1, 'char_values': [450, 12, [101, 127], [10, 3]], 'cm_discs': [], 'conrey_index': 257, 'dim': 16, 'field_disc': 9349208943630483456, 'field_disc_factorization': [[2, 44], [3, 12]], 'field_poly': [25, -220, 972, -2780, 5736, -9024, 11224, -11276, 9297, -6328, 3580, -1668, 642, -196, 48, -8, 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, [6250000, 7000000, 3920000, 2390400, 1088624, 207200, 6400, -26016, -20276, -4656, -128, 592, 476, 144, 32, 8, 1]], [11, [1849, -1032, -754, 528, 441, 0, -22, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526228217299394, 'hecke_ring_generator_nbound': 7, 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mf_hecke_cc • Show schema
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0.15908150388026748, -0.28546024208696047, -0.3787766089271609], 'char_orbit_index': 16, 'conrey_index': 257, 'dual_conrey_index': 443, 'dual_embedding_index': 2, 'dual_embedding_m': 14, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': -0.33108222013430405, 'embedding_root_real': 0.5, 'hecke_orbit': 8, 'hecke_orbit_code': 31526228217299394, 'label': '450.2.p.h.257.2', 'level': 450, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 12, 'char_parity': 1, 'char_values': [450, 12, [101, 127], [10, 3]], 'conrey_index': 257, 'cusp_dim': 312, 'dim': 72, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1030825705922, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 8, 16], 'label': '450.2.p', 'level': 450, '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': 408, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 12, 'relative_dim': 18, 'sturm_bound': 180, 'trace_bound': 14, 'trace_display': [0, -4, 0, 0], 'traces': [72, 0, -4, 0, 0, 16, 0, 0, 0, 0, 48, 4, 0, 0, 0, 36, 0, 8, 0, 0, 16, 0, 24, 0, 0, 0, 8, 0, 0, 0, 0, 0, -16, 0, 0, -32, 24, -36, 0, 0, -72, -44, 0, 0, 0, 48, -48, -8, 0, 0, -88, 0, 0, 0, 0, -24, -52, -12, 0, 0, 24, 0, 80, 0, 0, -44, 12, 36, 0, 0, 0, 16, 0, 0, 0, 0, 48, 24, 0, 0, -112, 48, -60, 0, 0, -36, 56, 0, 0, 0, -96, 24, -52, 0, 0, 8, 36, 0, 0, 0, 96, 8, 24, 0, 0, 0, 0, -4, 0, 0, -96, 0, 24, 0, 0, 0, 24, -24, 0, 0, -12, -60, -76, 0, 0, -56, -96, 0, 0, 0, -144, -56, -36, 0, 0, 0, -24, -28, 0, 0, -96, -24, 0, 0, 0, -144, -16, -12, 0, 0, -48, 0, 52, 0, 0, -48, -36, 60, 0, 0, 0, 80, -48, 0, 0, 24, 72, 40, 0, 0, 68, 0, 72, 0, 0, 48, 92, 0, 0, 0, 0, 96, 48, 0, 0, 208, -24, 0, 0, 0, 192, -4, -24, 0, 0, -12, 0, -40, 0, 0, 340, 24, -12, 0, 0, 0, -88, 0, 0, 0, 24, -12, -8, 0, 0, 40, 24, -60, 0, 0, 384, -120, 96, 0, 0, 0, -168, 20, 0, 0, 208, 12, 0, 0, 0, 36, 0, 60, 0, 0, -48, 0, -44, 0, 0, 100, 0, -36, 0, 0, 0, 16, 96, 0, 0, -36, 60, 96, 0, 0, 296, -72, 24, 0, 0, 240, 28, 12, 0, 0, -96, 36, -48, 0, 0, -32, -60, 0, 0, 0, 24, 60, -36, 0, 0, -48, 0, -8, 0, 0, -72, 0, -228, 0, 0, 0, -112, 72, 0, 0, 24, -120, -104, 0, 0, -52, 120, -48, 0, 0, -312, 0, -72, 0, 0, 96, 0, -8, 0, 0, -172, 24, 0, 0, 0, -240, 88, -24, 0, 0, 48, 0, -60, 0, 0, 8, 48, 24, 0, 0, 0, 68, 96, 0, 0, 0, 96, -16, 0, 0, 288, 0, 240, 0, 0, 24, 128, -24, 0, 0, -264, 132, 228, 0, 0, 24, 48, 0, 0, 0, -552, 40, 36, 0, 0, -24, 0, -100, 0, 0, -224, -12, -24, 0, 0, 0, -48, -72, 0, 0, -144, -72, 44, 0, 0, -128, -216, -36, 0, 0, 0, -56, -24, 0, 0, -336, 24, -76, 0, 0, 72, -24, 0, 0, 0, 0, -32, -48, 0, 0, -192, 0, -24, 0, 0, 32, -156, 108, 0, 0, 0, 4, -168, 0, 0, 24, -12, 104, 0, 0, -160, -48, 12, 0, 0, 168, 72, 0, 0, 0, 120, 24, -40, 0, 0, 28, -36, 0, 0, 0, 120, 40, 48, 0, 0, 12, 0, -96, 0, 0, 216, -12, -168, 0, 0, 0, -44, 48, 0, 0, 192, -144, -100, 0, 0, -112, 192, 60, 0, 0, -444, -32, 84, 0, 0, 0, 48, 0, 0, 0, -512, 84, 0, 0, 0, -144, -40, 48, 0, 0, 72, 0, -8, 0, 0, -120, 120, 12, 0, 0, 0, 56, -24, 0, 0, -96, 24, 40, 0, 0, -88, -72, 168, 0, 0, -96, 112, 60, 0, 0, 48, 84, 208, 0, 0, 192, -36, 0, 0, 0, 144, -44, 12, 0, 0, 0, 0, -52, 0, 0, -460, 0, -108, 0, 0, 0, -232, 48, 0, 0, -180, -24, 160, 0, 0, -40, 168, -48, 0, 0, 168, -84, -48, 0, 0, 192, -156, 32, 0, 0, -24, 12, 0, 0, 0, 72, -180, -48, 0, 0, 240, 0, -40, 0, 0, -352, 168, -36, 0, 0, 0, 32, 168, 0, 0, 0, -72, -16, 0, 0, -232, 168, -168, 0, 0, 84, -112, -36, 0, 0, 480, 60, -128, 0, 0, 272, 72, 0, 0, 0, 396, 56, -84, 0, 0, 36, 0, 32, 0, 0, 568, -24, -36, 0, 0, 0, -40, -192, 0, 0, 264, -60, -96, 0, 0, 432, -168, -72, 0, 0, 600, -4, -48, 0, 0, -120, 48, 16, 0, 0, 208, -144, 0, 0, 0, 672, 240, 0, 0, 0, 240, 0, 128, 0, 0, 184, -132, 108, 0, 0, 0, 24, -288, 0, 0, 132, 192, -40, 0, 0, 552, 0, 228, 0, 0, 216, 48, -12, 0, 0, 624, -24, 104, 0, 0, -336, 72, 0, 0, 0, 672, 96, -12, 0, 0, 24, 0, 8, 0, 0, -96, -36, 288, 0, 0, 0, 108, 48, 0, 0, 168, -48, 156, 0, 0, -8, -96, 12, 0, 0, -720, -32, 84, 0, 0, 288, 0, -4, 0, 0, -272, 24, 0, 0, 0, -228, -192, 156, 0, 0, 144, 0, 16, 0, 0, 16, 24, 24, 0, 0, 0, 40, -96, 0, 0, 24, -72, 20, 0, 0, -92, -96, -144, 0, 0, -96, 8, 24, 0, 0, -120, -12, -300, 0, 0, -92, -96, 0, 0, 0, -1056, 0, -72, 0, 0, -192, 0, 56, 0, 0, -336, 0, 48, 0, 0, 0, 116, 144, 0, 0, -396, 72, -192, 0, 0, -600, 96, 12, 0, 0, -24, -40, -96, 0, 0, -48, -24, -72, 0, 0, 280, 60, 0, 0, 0, -144, -28, -12, 0, 0, 0, 0, 228, 0, 0, -44, 72, -48, 0, 0, 0, 32, 264, 0, 0, -24, 24, 60, 0, 0, -724, 192, -60, 0, 0, -24, 0, -144, 0, 0, -384, -48, 96, 0, 0, -104, 84, 0, 0, 0, 192, -32, -48, 0, 0, -24, 0, 76, 0, 0, 480, -36, 96, 0, 0, 0, -88, -24, 0, 0, -408, 156, -92, 0, 0, -48, 48, 36, 0, 0, -408, 12, -24, 0, 0, -288, -348, 108, 0, 0, -360, -60, 0, 0, 0, -96, -184, -84, 0, 0, -444, 0, -116, 0, 0, -248, -144, -120, 0, 0, 0, -88, -144, 0, 0, -24, -168, -128, 0, 0, -440, -96, -360, 0, 0, -792, -228, 0, 0, 0, 192, -36, -208, 0, 0, -156, -12, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46383523
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 257, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526228217299394, 'target_is_minimal': False, 'target_label': '450.2.p.h.257.2', 'target_level': 450, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46383524
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 557, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31526296936777030, 'target_is_minimal': False, 'target_label': '1350.2.q.h.557.3', 'target_level': 1350, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46383525
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 23, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355575169114, 'target_is_minimal': True, 'target_label': '90.2.l.b.23.3', 'target_level': 90, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46383526
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 293, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526228217299394, 'target_is_minimal': False, 'target_label': '450.2.p.h.293.2', 'target_level': 450, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46383527
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 77, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355575169114, 'target_is_minimal': True, 'target_label': '90.2.l.b.77.3', 'target_level': 90, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46383528
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 407, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526228217299394, 'target_is_minimal': False, 'target_label': '450.2.p.h.407.2', 'target_level': 450, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46383529
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 1007, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526296936777030, 'target_is_minimal': False, 'target_label': '1350.2.q.h.1007.4', 'target_level': 1350, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46383530
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 233, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504424294646030, 'target_is_minimal': False, 'target_label': '270.2.m.b.233.1', 'target_level': 270, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46383531
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 1043, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526296936777030, 'target_is_minimal': False, 'target_label': '1350.2.q.h.1043.4', 'target_level': 1350, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46383532
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504424294646030, 'target_is_minimal': False, 'target_label': '270.2.m.b.17.1', 'target_level': 270, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46383533
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 113, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4508547463250640, 'target_is_minimal': False, 'target_label': '720.2.cu.b.113.4', 'target_level': 720, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46383534
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 257, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4508547463250640, 'target_is_minimal': False, 'target_label': '720.2.cu.b.257.3', 'target_level': 720, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46383535
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 83, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355575169114, 'target_is_minimal': True, 'target_label': '90.2.l.b.83.3', 'target_level': 90, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46383536
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542885679914, 'target_is_minimal': False, 'target_label': '810.2.f.c.647.4', 'target_level': 810, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46383537
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 143, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504424294646030, 'target_is_minimal': False, 'target_label': '270.2.m.b.143.1', 'target_level': 270, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46383538
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007542885679914, 'target_is_minimal': False, 'target_label': '810.2.f.c.647.5', 'target_level': 810, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46383539
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 323, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007542885679914, 'target_is_minimal': False, 'target_label': '810.2.f.c.323.5', 'target_level': 810, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 46383540
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 47, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355575169114, 'target_is_minimal': True, 'target_label': '90.2.l.b.47.3', 'target_level': 90, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46383541
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 323, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542885679914, 'target_is_minimal': False, 'target_label': '810.2.f.c.323.4', 'target_level': 810, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 46383542
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 197, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504424294646030, 'target_is_minimal': False, 'target_label': '270.2.m.b.197.1', 'target_level': 270, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 46383543
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 443, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526228217299394, 'target_is_minimal': False, 'target_label': '450.2.p.h.443.2', 'target_level': 450, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 46383544
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 143, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31526296936777030, 'target_is_minimal': False, 'target_label': '1350.2.q.h.143.3', 'target_level': 1350, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 46383545
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 353, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4508547463250640, 'target_is_minimal': False, 'target_label': '720.2.cu.b.353.3', 'target_level': 720, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '180.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46383546
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 257, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526228217299394, 'source_is_minimal': False, 'source_label': '450.2.p.h.257.2', 'source_level': 450, 'target_conrey_index': 497, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4508547463250640, 'target_is_minimal': False, 'target_label': '720.2.cu.b.497.4', 'target_level': 720, 'twist_class_label': '90.2.l.b.23.3', 'twist_class_level': 90, 'twisting_char_label': '180.119', 'twisting_conrey_index': 119, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 909525
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 31526228217299394, 'p': 2}
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id: 909526
{'charpoly_factorization': [[[6561, 0, 0, 0, -486, 0, 0, 0, -45, 0, 0, 0, -6, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 3}
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id: 909527
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 31526228217299394, 'p': 5}
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id: 909528
{'charpoly_factorization': [[[6250000, 7000000, 3920000, 2390400, 1088624, 207200, 6400, -26016, -20276, -4656, -128, 592, 476, 144, 32, 8, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 7}
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id: 909529
{'charpoly_factorization': [[[1849, -1032, -754, 528, 441, 0, -22, 0, 1], 2]], 'hecke_orbit_code': 31526228217299394, 'p': 11}
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id: 909530
{'charpoly_factorization': [[[1296, 5184, 10368, 20736, 35856, 38880, 34560, 31104, 17388, 3888, 1152, 288, -156, -48, 0, 0, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 13}
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id: 909531
{'charpoly_factorization': [[[390625, 0, 0, 0, 467222500, 0, 0, 0, 4269606, 0, 0, 0, 4132, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 17}
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id: 909532
{'charpoly_factorization': [[[10201, 0, 5308, 0, 858, 0, 52, 0, 1], 2]], 'hecke_orbit_code': 31526228217299394, 'p': 19}
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id: 909533
{'charpoly_factorization': [[[82538991616, -103481720832, 64869138432, -27109490688, 7528268800, -1234913280, 83607552, 20752896, -9066816, 1621248, -110592, -27840, 11920, -2304, 288, -24, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 23}
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id: 909534
{'charpoly_factorization': [[[40960000, 0, 37683200, 0, 25452544, 0, 7454720, 0, 1596160, 0, 103424, 0, 4960, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 29}
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id: 909535
{'charpoly_factorization': [[[448900, -85760, 64624, 3856, 5026, -32, 88, 4, 1], 2]], 'hecke_orbit_code': 31526228217299394, 'p': 31}
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id: 909536
{'charpoly_factorization': [[[82944, 165888, 165888, 55296, 9792, 576, 0, 0, 1], 2]], 'hecke_orbit_code': 31526228217299394, 'p': 37}
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id: 909537
{'charpoly_factorization': [[[555025, 384420, 45542, -29928, 555, 696, -10, -12, 1], 2]], 'hecke_orbit_code': 31526228217299394, 'p': 41}
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id: 909538
{'charpoly_factorization': [[[35806100625, -3951018000, 217987200, -1658957760, -1276568046, 315984240, 11335680, 31123008, 51876315, 326160, 4608, 4320, -7230, -96, 0, 0, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 43}
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id: 909539
{'charpoly_factorization': [[[2981133747216, 1796847738048, 541515756672, 108797686272, -460693008, -6702297696, -1970749440, -435253824, -5582196, 27126576, 8709120, 1625184, 207612, 18432, 1152, 48, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 47}
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id: 909540
{'charpoly_factorization': [[[3906250000, 0, 0, 0, 418925536, 0, 0, 0, 7672152, 0, 0, 0, 10552, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 53}
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id: 909541
{'charpoly_factorization': [[[625, 0, 37700, 0, 2262214, 0, 712592, 0, 158299, 0, 17840, 0, 1462, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 59}
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id: 909542
{'charpoly_factorization': [[[45887076, 13331232, 3141432, 375120, 42054, 2640, 252, 12, 1], 2]], 'hecke_orbit_code': 31526228217299394, 'p': 61}
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id: 909543
{'charpoly_factorization': [[[3418801, 85231504, 1062420608, 26745489504, 333377741378, -40651903312, 2456667136, -274915632, -57912821, 8720688, -518144, 64528, 11858, -2016, 128, -16, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 67}
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id: 909544
{'charpoly_factorization': [[[14032516, 0, 1023488, 0, 25980, 0, 272, 0, 1], 2]], 'hecke_orbit_code': 31526228217299394, 'p': 71}
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id: 909545
{'charpoly_factorization': [[[966289, 1140280, 672800, 154024, 17842, 152, 32, 8, 1], 2]], 'hecke_orbit_code': 31526228217299394, 'p': 73}
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id: 909546
{'charpoly_factorization': [[[1730768006250000, 0, -138985632000000, 0, 8558458650000, 0, -173042524800, 0, 2428425036, 0, -20342592, 0, 124068, 0, -432, 0, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 79}
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id: 909547
{'charpoly_factorization': [[[21743271936, 0, 0, 0, -1472200704, -679477248, 0, 176947200, 127844352, 46006272, 10616832, 1751040, 211200, 18432, 1152, 48, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 83}
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id: 909548
{'charpoly_factorization': [[[100, 0, -28, 0, 1], 4]], 'hecke_orbit_code': 31526228217299394, 'p': 89}
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id: 909549
{'charpoly_factorization': [[[19559470366881, 10714460229504, 2934631047168, 5985304288416, 1103454012942, -983023623072, 211720241664, -37134895824, 6126178419, -738652608, 70972416, -6446736, 473262, -24768, 1152, -48, 1], 1]], 'hecke_orbit_code': 31526228217299394, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 16, 'hecke_orbit': 8, 'label': '450.2.p.h', 'level': 450, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50178397
{'hecke_orbit_code': 31526228217299394, 'n': 1, 'trace_an': 16}
-
id: 50178398
{'hecke_orbit_code': 31526228217299394, 'n': 2, 'trace_an': 0}
-
id: 50178399
{'hecke_orbit_code': 31526228217299394, 'n': 3, 'trace_an': 0}
-
id: 50178400
{'hecke_orbit_code': 31526228217299394, 'n': 4, 'trace_an': 0}
-
id: 50178401
{'hecke_orbit_code': 31526228217299394, 'n': 5, 'trace_an': 0}
-
id: 50178402
{'hecke_orbit_code': 31526228217299394, 'n': 6, 'trace_an': 0}
-
id: 50178403
{'hecke_orbit_code': 31526228217299394, 'n': 7, 'trace_an': -8}
-
id: 50178404
{'hecke_orbit_code': 31526228217299394, 'n': 8, 'trace_an': 0}
-
id: 50178405
{'hecke_orbit_code': 31526228217299394, 'n': 9, 'trace_an': 0}
-
id: 50178406
{'hecke_orbit_code': 31526228217299394, 'n': 10, 'trace_an': 0}
-
id: 50178407
{'hecke_orbit_code': 31526228217299394, 'n': 11, 'trace_an': 0}
-
id: 50178408
{'hecke_orbit_code': 31526228217299394, 'n': 12, 'trace_an': 0}
-
id: 50178409
{'hecke_orbit_code': 31526228217299394, 'n': 13, 'trace_an': 0}
-
id: 50178410
{'hecke_orbit_code': 31526228217299394, 'n': 14, 'trace_an': 0}
-
id: 50178411
{'hecke_orbit_code': 31526228217299394, 'n': 15, 'trace_an': 0}
-
id: 50178412
{'hecke_orbit_code': 31526228217299394, 'n': 16, 'trace_an': 8}
-
id: 50178413
{'hecke_orbit_code': 31526228217299394, 'n': 17, 'trace_an': 0}
-
id: 50178414
{'hecke_orbit_code': 31526228217299394, 'n': 18, 'trace_an': 0}
-
id: 50178415
{'hecke_orbit_code': 31526228217299394, 'n': 19, 'trace_an': 0}
-
id: 50178416
{'hecke_orbit_code': 31526228217299394, 'n': 20, 'trace_an': 0}
-
id: 50178417
{'hecke_orbit_code': 31526228217299394, 'n': 21, 'trace_an': 24}
-
id: 50178418
{'hecke_orbit_code': 31526228217299394, 'n': 22, 'trace_an': -8}
-
id: 50178419
{'hecke_orbit_code': 31526228217299394, 'n': 23, 'trace_an': 24}
-
id: 50178420
{'hecke_orbit_code': 31526228217299394, 'n': 24, 'trace_an': 0}
-
id: 50178421
{'hecke_orbit_code': 31526228217299394, 'n': 25, 'trace_an': 0}
-
id: 50178422
{'hecke_orbit_code': 31526228217299394, 'n': 26, 'trace_an': 0}
-
id: 50178423
{'hecke_orbit_code': 31526228217299394, 'n': 27, 'trace_an': 0}
-
id: 50178424
{'hecke_orbit_code': 31526228217299394, 'n': 28, 'trace_an': 16}
-
id: 50178425
{'hecke_orbit_code': 31526228217299394, 'n': 29, 'trace_an': 0}
-
id: 50178426
{'hecke_orbit_code': 31526228217299394, 'n': 30, 'trace_an': 0}
-
id: 50178427
{'hecke_orbit_code': 31526228217299394, 'n': 31, 'trace_an': -8}
-
id: 50178428
{'hecke_orbit_code': 31526228217299394, 'n': 32, 'trace_an': 0}
-
id: 50178429
{'hecke_orbit_code': 31526228217299394, 'n': 33, 'trace_an': 0}
-
id: 50178430
{'hecke_orbit_code': 31526228217299394, 'n': 34, 'trace_an': 0}
-
id: 50178431
{'hecke_orbit_code': 31526228217299394, 'n': 35, 'trace_an': 0}
-
id: 50178432
{'hecke_orbit_code': 31526228217299394, 'n': 36, 'trace_an': 24}
-
id: 50178433
{'hecke_orbit_code': 31526228217299394, 'n': 37, 'trace_an': 0}
-
id: 50178434
{'hecke_orbit_code': 31526228217299394, 'n': 38, 'trace_an': -24}
-
id: 50178435
{'hecke_orbit_code': 31526228217299394, 'n': 39, 'trace_an': 0}
-
id: 50178436
{'hecke_orbit_code': 31526228217299394, 'n': 40, 'trace_an': 0}
-
id: 50178437
{'hecke_orbit_code': 31526228217299394, 'n': 41, 'trace_an': 24}
-
id: 50178438
{'hecke_orbit_code': 31526228217299394, 'n': 42, 'trace_an': -24}
-
id: 50178439
{'hecke_orbit_code': 31526228217299394, 'n': 43, 'trace_an': 0}
-
id: 50178440
{'hecke_orbit_code': 31526228217299394, 'n': 44, 'trace_an': 0}
-
id: 50178441
{'hecke_orbit_code': 31526228217299394, 'n': 45, 'trace_an': 0}
-
id: 50178442
{'hecke_orbit_code': 31526228217299394, 'n': 46, 'trace_an': -32}
-
id: 50178443
{'hecke_orbit_code': 31526228217299394, 'n': 47, 'trace_an': -48}
-
id: 50178444
{'hecke_orbit_code': 31526228217299394, 'n': 48, 'trace_an': 0}
-
id: 50178445
{'hecke_orbit_code': 31526228217299394, 'n': 49, 'trace_an': 0}
-
id: 50178446
{'hecke_orbit_code': 31526228217299394, 'n': 50, 'trace_an': 0}
-
id: 50178447
{'hecke_orbit_code': 31526228217299394, 'n': 51, 'trace_an': -48}
-
id: 50178448
{'hecke_orbit_code': 31526228217299394, 'n': 52, 'trace_an': 0}
-
id: 50178449
{'hecke_orbit_code': 31526228217299394, 'n': 53, 'trace_an': 0}
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id: 50178450
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{'hecke_orbit_code': 31526228217299394, 'n': 961, 'trace_an': -72}
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id: 50178649
{'hecke_orbit_code': 31526228217299394, 'n': 967, 'trace_an': -16}
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id: 50178650
{'hecke_orbit_code': 31526228217299394, 'n': 971, 'trace_an': 0}
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id: 50178651
{'hecke_orbit_code': 31526228217299394, 'n': 977, 'trace_an': -48}
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id: 50178652
{'hecke_orbit_code': 31526228217299394, 'n': 983, 'trace_an': -312}
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id: 50178653
{'hecke_orbit_code': 31526228217299394, 'n': 991, 'trace_an': 64}
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id: 50178654
{'hecke_orbit_code': 31526228217299394, 'n': 997, 'trace_an': 56}