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mf_newforms • Show schema
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{'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [625, 5, [2], [2]], 'cm_discs': [], 'conrey_index': 126, 'dim': 16, 'field_disc': 37849603291259765625, 'field_disc_factorization': [[3, 8], [5, 12], [4861, 2]], 'field_poly': [1, 0, 1205, 0, 3809, 0, 4820, 0, 3166, 0, 1165, 0, 239, 0, 25, 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': [[2, [81, 405, 1053, 1080, 1278, -1665, 2406, -60, 1045, 185, 336, 20, 48, -10, 8, 0, 1]], [3, [841, -2610, 6327, -10330, 14803, -16150, 15869, -9055, 4220, -1255, 529, -295, 168, -50, 17, -5, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554200602542705, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 25, 'hecke_ring_index_factorization': [[5, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 25, 4, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '625.2.d.p', 'level': 625, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'minimal_twist': '625.2.a.e', 'prim_orbit_index': 4, 'qexp_display': 'q+(\\beta _{5}+\\beta _{6}-\\beta _{7}+\\beta _{8}+\\beta _{12})q^{2}+(1+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '625.2.d', 'trace_display': [0, 5, 0, -20], 'trace_hash': 764506478390455317, 'trace_moments': 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mf_hecke_cc • Show schema
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'dual_conrey_index': 501, 'dual_embedding_index': 4, 'dual_embedding_m': 16, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.9919691052091147, 'embedding_root_real': 0.0, 'hecke_orbit': 16, 'hecke_orbit_code': 67554200602542705, 'label': '625.2.d.p.126.4', 'level': 625, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [625, 5, [2], [2]], 'conrey_index': 126, 'cusp_dim': 188, 'dim': 136, 'eis_dim': 120, 'eis_new_dim': 48, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 206191985265, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 16, 16, 16, 16, 16], 'label': '625.2.d', 'level': 625, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'mf_dim': 308, 'mf_new_dim': 184, 'num_forms': 17, 'prim_orbit_index': 4, 'relative_dim': 34, 'sturm_bound': 125, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [136, 0, 0, -28, 0, 12, 0, 0, -22, 0, 12, 0, 0, 24, 0, -4, 0, 0, 0, 0, 12, 0, 0, -40, 0, -68, 0, 0, -20, 0, 12, 0, 0, 14, 0, -24, 0, 0, -24, 0, -8, 0, 0, -16, 0, 12, 0, 0, -8, 0, -48, 0, 0, 60, 0, -20, 0, 0, 0, 0, -8, 0, 0, 32, 0, -36, 0, 0, 36, 0, -28, 0, 0, -36, 0, -80, 0, 0, 0, 0, -14, 0, 0, 104, 0, 12, 0, 0, -10, 0, 12, 0, 0, -106, 0, -78, 0, 0, -64, 0, -108, 0, 0, 50, 0, -48, 0, 0, -60, 0, 72, 0, 0, -90, 0, 150, 0, 0, 44, 0, 98, 0, 0, 344, 0, 192, 0, 0, -54, 0, 72, 0, 0, -106, 0, -20, 0, 0, 60, 0, -18, 0, 0, 88, 0, 42, 0, 0, -100, 0, -128, 0, 0, 28, 0, 52, 0, 0, 116, 0, -118, 0, 0, -36, 0, -158, 0, 0, 18, 0, -60, 0, 0, 320, 0, -168, 0, 0, 60, 0, -48, 0, 0, -170, 0, 4, 0, 0, -30, 0, -28, 0, 0, 144, 0, -16, 0, 0, -80, 0, -88, 0, 0, -126, 0, -198, 0, 0, 60, 0, 12, 0, 0, 24, 0, 120, 0, 0, -114, 0, -108, 0, 0, -536, 0, 212, 0, 0, 110, 0, -46, 0, 0, 76, 0, 160, 0, 0, -90, 0, 162, 0, 0, -86, 0, 114, 0, 0, 336, 0, 232, 0, 0, -66, 0, 276, 0, 0, -6, 0, 0, 0, 0, 240, 0, -10, 0, 0, 0, 0, 132, 0, 0, -276, 0, 72, 0, 0, -64, 0, 42, 0, 0, 104, 0, -106, 0, 0, -38, 0, -238, 0, 0, -126, 0, 0, 0, 0, 256, 0, -88, 0, 0, 50, 0, 92, 0, 0, -94, 0, -148, 0, 0, -36, 0, -100, 0, 0, 40, 0, -158, 0, 0, -568, 0, -168, 0, 0, -46, 0, -158, 0, 0, 134, 0, 92, 0, 0, 136, 0, -16, 0, 0, -100, 0, -148, 0, 0, -100, 0, 80, 0, 0, 140, 0, -20, 0, 0, -100, 0, 206, 0, 0, -176, 0, 114, 0, 0, 6, 0, 102, 0, 0, 568, 0, 360, 0, 0, -180, 0, 102, 0, 0, -80, 0, 52, 0, 0, 120, 0, -88, 0, 0, 44, 0, 312, 0, 0, -640, 0, 172, 0, 0, 64, 0, 20, 0, 0, 130, 0, -228, 0, 0, -34, 0, -68, 0, 0, -250, 0, -88, 0, 0, 580, 0, -256, 0, 0, -38, 0, -148, 0, 0, -232, 0, -250, 0, 0, -60, 0, 86, 0, 0, 364, 0, -358, 0, 0, 180, 0, -216, 0, 0, -316, 0, -180, 0, 0, -10, 0, 62, 0, 0, 50, 0, 172, 0, 0, 154, 0, 162, 0, 0, -40, 0, 368, 0, 0, 120, 0, 192, 0, 0, 156, 0, 342, 0, 0, 6, 0, 162, 0, 0, 180, 0, 52, 0, 0, -320, 0, 832, 0, 0, -70, 0, 134, 0, 0, -240, 0, 242, 0, 0, 134, 0, 2, 0, 0, 36, 0, 222, 0, 0, -376, 0, 512, 0, 0, 58, 0, 320, 0, 0, -20, 0, -310, 0, 0, -106, 0, 12, 0, 0, -36, 0, 224, 0, 0, 956, 0, -320, 0, 0, 244, 0, -270, 0, 0, 146, 0, -106, 0, 0, -126, 0, -278, 0, 0, -20, 0, -248, 0, 0, -272, 0, -1024, 0, 0, -14, 0, -278, 0, 0, -20, 0, 2, 0, 0, 160, 0, 52, 0, 0, -360, 0, -250, 0, 0, 120, 0, -588, 0, 0, 184, 0, -196, 0, 0, -30, 0, 42, 0, 0, -456, 0, 40, 0, 0, 120, 0, -190, 0, 0, 976, 0, -1128, 0, 0, 104, 0, 12, 0, 0, 254, 0, -108, 0, 0, -94, 0, 162, 0, 0, -146, 0, 10, 0, 0, -360, 0, -736, 0, 0, 150, 0, 262, 0, 0, 280, 0, 162, 0, 0, -60, 0, -378, 0, 0, -394, 0, 44, 0, 0, -776, 0, -804, 0, 0, 194, 0, -318, 0, 0, -260, 0, -240, 0, 0, 256, 0, -198, 0, 0, 214, 0, -290, 0, 0, 376, 0, 212, 0, 0, -336, 0, 82, 0, 0, 150, 0, 60, 0, 0, 328, 0, 320, 0, 0, -70, 0, -78, 0, 0, 244, 0, 936, 0, 0, 398, 0, 122, 0, 0, -46, 0, 152, 0, 0, -170, 0, 290, 0, 0, 70, 0, 642, 0, 0, -96, 0, 472, 0, 0, -130, 0, 210, 0, 0, -88, 0, 142, 0, 0, 284, 0, 112, 0, 0, 470, 0, 242, 0, 0, -1544, 0, 1060, 0, 0, -210, 0, 84, 0, 0, 172, 0, -76, 0, 0, -354, 0, -78, 0, 0, 74, 0, -30, 0, 0, 424, 0, 20, 0, 0, -76, 0, -96, 0, 0, -140, 0, -158, 0, 0, -92, 0, -88, 0, 0, 186, 0, 22, 0, 0, 480, 0, -200, 0, 0, -120, 0, -188, 0, 0, 100, 0, 380, 0, 0, 160, 0, 126, 0, 0, -356, 0, -348, 0, 0, -664, 0, -8, 0, 0, -142, 0, -260, 0, 0, -160, 0, -126, 0, 0, -100, 0, -128, 0, 0, 150, 0, -68, 0, 0, 1040, 0, 592, 0, 0, -164, 0, 302, 0, 0, -206, 0, -268, 0, 0, 94, 0, -148, 0, 0, -20, 0, 160, 0, 0, -280, 0, -88, 0, 0, -40, 0, 74, 0, 0, 196, 0, -348, 0, 0, 314, 0, -360, 0, 0, -300, 0, -138, 0, 0, 328, 0, -248, 0, 0, 70, 0, 210, 0, 0, -576, 0, -80, 0, 0, -64, 0, -288, 0, 0, 80, 0, -76, 0, 0, -1084, 0, 312, 0, 0, -334, 0, -360, 0, 0, 14, 0, 398, 0, 0, 104, 0, 334, 0, 0, 0, 0, 32, 0, 0, 904, 0, 772, 0, 0, 270, 0, 150, 0, 0, 110, 0, 330, 0, 0, 76, 0, 322, 0, 0, -272, 0, -28, 0, 0, 320, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47961766
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 126, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554200602542705, 'target_is_minimal': False, 'target_label': '625.2.d.p.126.4', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47961767
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 499, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036271185166961, 'target_is_minimal': False, 'target_label': '625.2.e.k.499.3', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47961768
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 499, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 45036271185166961, 'target_is_minimal': False, 'target_label': '625.2.e.k.499.6', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47961769
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 126, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547001347801713, 'target_is_minimal': False, 'target_label': '625.2.d.n.126.1', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47961770
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 624, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13510867635143281, 'target_is_minimal': False, 'target_label': '625.2.b.d.624.12', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47961771
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 124, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036271185166961, 'target_is_minimal': False, 'target_label': '625.2.e.k.124.3', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47961772
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 501, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547001347801713, 'target_is_minimal': False, 'target_label': '625.2.d.n.501.1', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47961773
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 376, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057800229913201, 'target_is_minimal': False, 'target_label': '625.2.d.q.376.1', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47961774
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 249, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532671557796465, 'target_is_minimal': False, 'target_label': '625.2.e.j.249.3', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47961775
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 54043401720431217, 'target_is_minimal': False, 'target_label': '625.2.d.m.251.4', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 47961776
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18014398543037041, 'target_is_minimal': True, 'target_label': '625.2.a.e.1.7', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47961777
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 374, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532671557796465, 'target_is_minimal': False, 'target_label': '625.2.e.j.374.3', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 47961778
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 374, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40532671557796465, 'target_is_minimal': False, 'target_label': '625.2.e.j.374.6', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47961779
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797778033, 'target_is_minimal': True, 'target_label': '625.2.a.g.1.2', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47961780
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057800229913201, 'target_is_minimal': False, 'target_label': '625.2.d.q.251.1', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 47961781
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 249, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40532671557796465, 'target_is_minimal': False, 'target_label': '625.2.e.j.249.6', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47961782
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 376, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 54043401720431217, 'target_is_minimal': False, 'target_label': '625.2.d.m.376.4', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47961783
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 501, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554200602542705, 'target_is_minimal': False, 'target_label': '625.2.d.p.501.4', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 47961784
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 124, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 45036271185166961, 'target_is_minimal': False, 'target_label': '625.2.e.k.124.6', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 47961785
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 624, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510867635143281, 'target_is_minimal': False, 'target_label': '625.2.b.d.624.5', 'target_level': 625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '25.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47961786
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854674937, 'target_is_minimal': False, 'target_label': '5625.2.a.be.1.2', 'target_level': 5625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '75.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47961787
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 81064793326228985, 'target_is_minimal': False, 'target_label': '5625.2.a.s.1.7', 'target_level': 5625, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '75.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47961788
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 175640385501013776, 'target_is_minimal': False, 'target_label': '10000.2.a.bn.1.4', 'target_level': 10000, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '100.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47961789
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554200602542705, 'source_is_minimal': False, 'source_label': '625.2.d.p.126.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 135107988854679312, 'target_is_minimal': False, 'target_label': '10000.2.a.be.1.5', 'target_level': 10000, 'twist_class_label': '625.2.a.e.1.7', 'twist_class_level': 625, 'twisting_char_label': '100.39', 'twisting_conrey_index': 39, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1136625
{'charpoly_factorization': [[[81, 405, 1053, 1080, 1278, -1665, 2406, -60, 1045, 185, 336, 20, 48, -10, 8, 0, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 2}
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id: 1136626
{'charpoly_factorization': [[[841, -2610, 6327, -10330, 14803, -16150, 15869, -9055, 4220, -1255, 529, -295, 168, -50, 17, -5, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 3}
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id: 1136627
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 67554200602542705, 'p': 5}
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id: 1136628
{'charpoly_factorization': [[[1, 45, 124, -25, -154, -35, 24, 10, 1], 2]], 'hecke_orbit_code': 67554200602542705, 'p': 7}
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id: 1136629
{'charpoly_factorization': [[[5861241, 7691517, 23303160, 370980, -2754180, 58851, 3903912, -997410, 590545, -44595, 23612, -806, 915, -80, 30, -2, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 11}
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id: 1136630
{'charpoly_factorization': [[[130321, -171475, 423092, -797240, 964028, -643925, 321744, -120055, 49320, -9605, 6474, 470, 653, -40, 17, -5, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 13}
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id: 1136631
{'charpoly_factorization': [[[2595321, -13846545, 22553073, 53307450, 55963233, 36065970, 17007231, 5811165, 1541845, 300485, 49426, 7570, 1818, 410, 88, 10, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 17}
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id: 1136632
{'charpoly_factorization': [[[110775625, -212605000, 200686250, -106128750, 69269500, -29282000, 10926625, -2813000, 908400, -129100, 43500, -2000, 1055, -85, 20, 0, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 19}
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id: 1136633
{'charpoly_factorization': [[[2124195921, 1063964565, 1231720587, 128125395, 111516588, -31153815, 14976819, 2403270, 2660445, -447930, 130599, -34695, 7308, -900, 132, -15, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 23}
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id: 1136634
{'charpoly_factorization': [[[3717950625, 4129531875, 3756071250, 1936828125, 742583250, 227731500, 62960250, 14516250, 2971900, 532575, 95975, 16075, 2880, 445, 75, 10, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 29}
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id: 1136635
{'charpoly_factorization': [[[576048001, -1797266883, 7955761475, -8037238730, 6012056075, -2621904094, 702072762, -114304025, 14949030, -2339125, 492112, -89131, 14050, -1770, 200, -17, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 31}
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id: 1136636
{'charpoly_factorization': [[[6561, 776385, 34738308, -71202645, 328972428, -179837550, 265755456, 30443715, 16374970, 2542610, 523866, 56150, 3153, -85, 83, 15, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 37}
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id: 1136637
{'charpoly_factorization': [[[237782041641, -294623978913, 209625285825, -100005657885, 41698274670, -13022216739, 3698136792, -732268650, 105155785, -9868520, 1539702, -100826, 11025, -890, 155, -12, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 41}
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id: 1136638
{'charpoly_factorization': [[[-1949, -11580, -1449, 5685, 1946, -180, -99, 0, 1], 2]], 'hecke_orbit_code': 67554200602542705, 'p': 43}
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id: 1136639
{'charpoly_factorization': [[[3244555521, 5936475420, 8389054413, 4592073600, 920533743, -1672376940, 922912806, -301047060, 74195695, -14475890, 2453176, -353065, 42708, -4265, 373, -25, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 47}
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id: 1136640
{'charpoly_factorization': [[[3606201, 21278295, 59004882, 83055105, 171057753, 203170995, 161345394, 76135470, 29580520, 4171195, 1758294, 179125, 13713, -185, 17, 0, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 53}
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id: 1136641
{'charpoly_factorization': [[[50625, -3695625, 103123125, -7914375, 50050125, -28005750, 10924500, 1886250, 1785775, -30600, 181925, -21575, 9330, -1385, 225, -20, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 59}
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id: 1136642
{'charpoly_factorization': [[[10718253841, 23975038762, 19598427830, -3875826130, 3073772730, 692487076, 286213642, 130161995, 71162455, 16920620, 3568612, 477299, 57920, 5430, 445, 23, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 61}
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id: 1136643
{'charpoly_factorization': [[[3049560197401, 734816424715, 185575411498, 3977876575, 16697133278, 9467096710, 3779772556, 772588040, 120109570, 9047460, 773806, 53280, 19468, 385, 208, 0, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 67}
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id: 1136644
{'charpoly_factorization': [[[280529001, -2979848088, 12133358280, -336412305, 2586071430, 191362986, 259558992, -15806580, 8398630, -3934205, 1340707, -198976, 31470, -3770, 370, -22, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 71}
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id: 1136645
{'charpoly_factorization': [[[56212142281, 47952840205, -33610411423, -90991502140, 149550389583, -92183613440, 35846204944, -9595546255, 1914675895, -279410080, 34688089, -3407785, 293318, -19965, 1087, -40, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 73}
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id: 1136646
{'charpoly_factorization': [[[62262725625, -179377284375, 548571048750, -646681185000, 508512683250, -275722610625, 107236903500, -30602452125, 6645928900, -1114320625, 145219500, -14687050, 1143255, -66850, 2795, -75, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 79}
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id: 1136647
{'charpoly_factorization': [[[150377514648201, -9231535547055, 25710118773372, -7376511041280, 1856216496978, -284607335655, 43693924194, -4705261905, 649662520, -50261205, 5744144, -802900, 95823, -6100, 417, -25, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 83}
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id: 1136648
{'charpoly_factorization': [[[3419818025625, 2947143335625, 1133837443125, -7254798750, 59270196375, -26776827000, 8852324250, -1042489875, 111544900, -5217225, 2048000, -350675, 59430, -3410, 360, -5, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 89}
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id: 1136649
{'charpoly_factorization': [[[945602601241, -2681922531685, 3395616593483, -2115144087835, 820207899088, -226877480605, 53879965606, -10975993710, 1892674395, -275054940, 35423446, -3844270, 338653, -22750, 1193, -40, 1], 1]], 'hecke_orbit_code': 67554200602542705, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 16, 'label': '625.2.d.p', 'level': 625, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 61199383
{'hecke_orbit_code': 67554200602542705, 'n': 1, 'trace_an': 16}
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id: 61199384
{'hecke_orbit_code': 67554200602542705, 'n': 2, 'trace_an': 0}
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id: 61199385
{'hecke_orbit_code': 67554200602542705, 'n': 3, 'trace_an': 5}
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id: 61199386
{'hecke_orbit_code': 67554200602542705, 'n': 4, 'trace_an': -8}
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id: 61199387
{'hecke_orbit_code': 67554200602542705, 'n': 5, 'trace_an': 0}
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id: 61199388
{'hecke_orbit_code': 67554200602542705, 'n': 6, 'trace_an': -3}
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id: 61199389
{'hecke_orbit_code': 67554200602542705, 'n': 7, 'trace_an': -20}
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id: 61199390
{'hecke_orbit_code': 67554200602542705, 'n': 8, 'trace_an': 10}
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id: 61199391
{'hecke_orbit_code': 67554200602542705, 'n': 9, 'trace_an': 3}
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id: 61199392
{'hecke_orbit_code': 67554200602542705, 'n': 10, 'trace_an': 0}
-
id: 61199393
{'hecke_orbit_code': 67554200602542705, 'n': 11, 'trace_an': 2}
-
id: 61199394
{'hecke_orbit_code': 67554200602542705, 'n': 12, 'trace_an': 25}
-
id: 61199395
{'hecke_orbit_code': 67554200602542705, 'n': 13, 'trace_an': 5}
-
id: 61199396
{'hecke_orbit_code': 67554200602542705, 'n': 14, 'trace_an': 9}
-
id: 61199397
{'hecke_orbit_code': 67554200602542705, 'n': 15, 'trace_an': 0}
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id: 61199398
{'hecke_orbit_code': 67554200602542705, 'n': 16, 'trace_an': -14}
-
id: 61199399
{'hecke_orbit_code': 67554200602542705, 'n': 17, 'trace_an': -10}
-
id: 61199400
{'hecke_orbit_code': 67554200602542705, 'n': 18, 'trace_an': 10}
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id: 61199401
{'hecke_orbit_code': 67554200602542705, 'n': 19, 'trace_an': 0}
-
id: 61199402
{'hecke_orbit_code': 67554200602542705, 'n': 20, 'trace_an': 0}
-
id: 61199403
{'hecke_orbit_code': 67554200602542705, 'n': 21, 'trace_an': 7}
-
id: 61199404
{'hecke_orbit_code': 67554200602542705, 'n': 22, 'trace_an': -40}
-
id: 61199405
{'hecke_orbit_code': 67554200602542705, 'n': 23, 'trace_an': 15}
-
id: 61199406
{'hecke_orbit_code': 67554200602542705, 'n': 24, 'trace_an': 10}
-
id: 61199407
{'hecke_orbit_code': 67554200602542705, 'n': 25, 'trace_an': 0}
-
id: 61199408
{'hecke_orbit_code': 67554200602542705, 'n': 26, 'trace_an': 22}
-
id: 61199409
{'hecke_orbit_code': 67554200602542705, 'n': 27, 'trace_an': 20}
-
id: 61199410
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