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mf_newforms • Show schema
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mf_hecke_cc • Show schema
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'char_orbit_index': 3, 'conrey_index': 49, 'dual_conrey_index': 49, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 7, 'hecke_orbit_code': 27021735270285712, 'label': '400.4.c.g.49.2', 'level': 400, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 6400, 'analytic_conductor': 23.600764002296245, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [400, 2, [351, 101, 177], [2, 2, 1]], 'conrey_index': 49, 'cusp_dim': 162, 'dim': 26, 'eis_dim': 36, 'eis_new_dim': 2, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 137506062736, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '400.4.c', 'level': 400, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 198, 'mf_new_dim': 28, 'num_forms': 13, 'prim_orbit_index': 2, 'relative_dim': 26, 'sturm_bound': 240, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [26, 0, 0, 0, 0, 0, 0, 0, -214, 0, 68, 0, 0, 0, 0, 0, 0, 0, -140, 0, 80, 0, 0, 0, 0, 0, 0, 0, -84, 0, -448, 0, 0, 0, 0, 0, 0, 0, 808, 0, 176, 0, 0, 0, 0, 0, 0, 0, -1490, 0, 236, 0, 0, 0, 0, 0, 0, 0, -1752, 0, -524, 0, 0, 0, 0, 0, 0, 0, 1600, 0, 872, 0, 0, 0, 0, 0, 0, 0, 1448, 0, 1090, 0, 0, 0, 0, 0, 0, 0, 1392, 0, 1256, 0, 0, 0, 0, 0, 0, 0, -9720, 0, -2756, 0, 0, 0, 0, 0, 0, 0, -516, 0, -4080, 0, 0, 0, 0, 0, 0, 0, 9728, 0, 2350, 0, 0, 0, 0, 0, 0, 0, -1272, 0, 5136, 0, 0, 0, 0, 0, 0, 0, -9212, 0, -856, 0, 0, 0, 0, 0, 0, 0, -1644, 0, -5472, 0, 0, 0, 0, 0, 0, 0, 25104, 0, -4200, 0, 0, 0, 0, 0, 0, 0, -1558, 0, 8784, 0, 0, 0, 0, 0, 0, 0, -19212, 0, 13116, 0, 0, 0, 0, 0, 0, 0, 5272, 0, -13760, 0, 0, 0, 0, 0, 0, 0, 27456, 0, 300, 0, 0, 0, 0, 0, 0, 0, 10324, 0, -2596, 0, 0, 0, 0, 0, 0, 0, -21412, 0, -10888, 0, 0, 0, 0, 0, 0, 0, -3108, 0, 6168, 0, 0, 0, 0, 0, 0, 0, 28896, 0, -16640, 0, 0, 0, 0, 0, 0, 0, -3500, 0, 7692, 0, 0, 0, 0, 0, 0, 0, -31672, 0, 11588, 0, 0, 0, 0, 0, 0, 0, -5132, 0, -18992, 0, 0, 0, 0, 0, 0, 0, 6552, 0, 21180, 0, 0, 0, 0, 0, 0, 0, 14390, 0, 35200, 0, 0, 0, 0, 0, 0, 0, -43704, 0, -10776, 0, 0, 0, 0, 0, 0, 0, -17944, 0, 2848, 0, 0, 0, 0, 0, 0, 0, 23312, 0, -24156, 0, 0, 0, 0, 0, 0, 0, -5080, 0, -26780, 0, 0, 0, 0, 0, 0, 0, -47876, 0, 30904, 0, 0, 0, 0, 0, 0, 0, 11620, 0, -4432, 0, 0, 0, 0, 0, 0, 0, 18440, 0, 34494, 0, 0, 0, 0, 0, 0, 0, 1204, 0, 42008, 0, 0, 0, 0, 0, 0, 0, 22332, 0, -66080, 0, 0, 0, 0, 0, 0, 0, -13700, 0, -25264, 0, 0, 0, 0, 0, 0, 0, 44136, 0, -30392, 0, 0, 0, 0, 0, 0, 0, -29056, 0, -33572, 0, 0, 0, 0, 0, 0, 0, 21492, 0, 39884, 0, 0, 0, 0, 0, 0, 0, 35776, 0, -240, 0, 0, 0, 0, 0, 0, 0, 1760, 0, 58718, 0, 0, 0, 0, 0, 0, 0, -8784, 0, -6716, 0, 0, 0, 0, 0, 0, 0, 14596, 0, -18396, 0, 0, 0, 0, 0, 0, 0, -25520, 0, -9472, 0, 0, 0, 0, 0, 0, 0, -70248, 0, -59336, 0, 0, 0, 0, 0, 0, 0, -44732, 0, 51600, 0, 0, 0, 0, 0, 0, 0, 8248, 0, 53672, 0, 0, 0, 0, 0, 0, 0, 29636, 0, 82032, 0, 0, 0, 0, 0, 0, 0, -95416, 0, 70792, 0, 0, 0, 0, 0, 0, 0, 10638, 0, -95416, 0, 0, 0, 0, 0, 0, 0, 29004, 0, -77516, 0, 0, 0, 0, 0, 0, 0, 57540, 0, 19328, 0, 0, 0, 0, 0, 0, 0, -42072, 0, -79268, 0, 0, 0, 0, 0, 0, 0, 21712, 0, -16544, 0, 0, 0, 0, 0, 0, 0, 172820, 0, 52480, 0, 0, 0, 0, 0, 0, 0, 15176, 0, -19632, 0, 0, 0, 0, 0, 0, 0, 3416, 0, 49576, 0, 0, 0, 0, 0, 0, 0, 75504, 0, 4104, 0, 0, 0, 0, 0, 0, 0, 74696, 0, -132184, 0, 0, 0, 0, 0, 0, 0, -59008, 0, 70192, 0, 0, 0, 0, 0, 0, 0, -84200, 0, -64804, 0, 0, 0, 0, 0, 0, 0, 32656, 0, -79856, 0, 0, 0, 0, 0, 0, 0, 43244, 0, 124780, 0, 0, 0, 0, 0, 0, 0, -392, 0, -87720, 0, 0, 0, 0, 0, 0, 0, -219672, 0, 128584, 0, 0, 0, 0, 0, 0, 0, 32552, 0, 38996, 0, 0, 0, 0, 0, 0, 0, 118064, 0, -53780, 0, 0, 0, 0, 0, 0, 0, -16004, 0, 137248, 0, 0, 0, 0, 0, 0, 0, -77736, 0, -141496, 0, 0, 0, 0, 0, 0, 0, -97042, 0, 61688, 0, 0, 0, 0, 0, 0, 0, 80616, 0, 137184, 0, 0, 0, 0, 0, 0, 0, -18976, 0, 60776, 0, 0, 0, 0, 0, 0, 0, -13016, 0, 101480, 0, 0, 0, 0, 0, 0, 0, 25144, 0, -122544, 0, 0, 0, 0, 0, 0, 0, 170012, 0, -117728, 0, 0, 0, 0, 0, 0, 0, -171168, 0, -170160, 0, 0, 0, 0, 0, 0, 0, -128968, 0, -159372, 0, 0, 0, 0, 0, 0, 0, -49796, 0, -152080, 0, 0, 0, 0, 0, 0, 0, 98072, 0, 212948, 0, 0, 0, 0, 0, 0, 0, -33100, 0, 159752, 0, 0, 0, 0, 0, 0, 0, 3552, 0, 115766, 0, 0, 0, 0, 0, 0, 0, 15156, 0, -30840, 0, 0, 0, 0, 0, 0, 0, 58052, 0, -185384, 0, 0, 0, 0, 0, 0, 0, 57800, 0, 105832, 0, 0, 0, 0, 0, 0, 0, -319648, 0, -175796, 0, 0, 0, 0, 0, 0, 0, -16840, 0, 129780, 0, 0, 0, 0, 0, 0, 0, -57328, 0, 89088, 0, 0, 0, 0, 0, 0, 0, 221900, 0, 51816, 0, 0, 0, 0, 0, 0, 0, 3432, 0, 283620, 0, 0, 0, 0, 0, 0, 0, 12516, 0, -92132, 0, 0, 0, 0, 0, 0, 0, -93824, 0, -116012, 0, 0, 0, 0, 0, 0, 0, -109208, 0, -50424, 0, 0, 0, 0, 0, 0, 0, 21824, 0, -208214, 0, 0, 0, 0, 0, 0, 0, -100812, 0, 185940, 0, 0, 0, 0, 0, 0, 0, 172196, 0, 165340, 0, 0, 0, 0, 0, 0, 0, 60040, 0, -35200, 0, 0, 0, 0, 0, 0, 0, -7032, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45740751
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735270285712, 'target_is_minimal': False, 'target_label': '400.4.c.g.49.2', 'target_level': 400, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 45740752
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936388174024, 'target_is_minimal': False, 'target_label': '200.4.c.d.49.1', 'target_level': 200, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 45740753
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594105037200, 'target_is_minimal': False, 'target_label': '400.4.a.q.1.1', 'target_level': 400, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45740754
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203961744, 'target_is_minimal': False, 'target_label': '400.4.a.f.1.1', 'target_level': 400, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 45740755
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735270285712, 'target_is_minimal': False, 'target_label': '400.4.c.g.49.1', 'target_level': 400, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 45740756
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542919235336, 'target_is_minimal': False, 'target_label': '1800.4.f.c.649.2', 'target_level': 1800, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 45740757
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702536, 'target_is_minimal': True, 'target_label': '200.4.a.h.1.1', 'target_level': 200, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 45740758
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321850056, 'target_is_minimal': True, 'target_label': '200.4.a.c.1.1', 'target_level': 200, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 45740759
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936388174024, 'target_is_minimal': False, 'target_label': '200.4.c.d.49.2', 'target_level': 200, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 45740760
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195595556416, 'target_is_minimal': False, 'target_label': '1600.4.a.m.1.1', 'target_level': 1600, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 45740761
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985161930304, 'target_is_minimal': False, 'target_label': '1600.4.a.bo.1.1', 'target_level': 1600, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 45740762
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385534559808, 'target_is_minimal': False, 'target_label': '1600.4.a.bn.1.1', 'target_level': 1600, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 45740763
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795222926912, 'target_is_minimal': False, 'target_label': '1600.4.a.n.1.1', 'target_level': 1600, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 45740764
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392987150088, 'target_is_minimal': False, 'target_label': '1800.4.a.t.1.1', 'target_level': 1800, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 45740765
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994477668104, 'target_is_minimal': False, 'target_label': '1800.4.a.p.1.1', 'target_level': 1800, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 45740766
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735270285712, 'source_is_minimal': False, 'source_label': '400.4.c.g.49.2', 'source_level': 400, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542919235336, 'target_is_minimal': False, 'target_label': '1800.4.f.c.649.1', 'target_level': 1800, 'twist_class_label': '200.4.a.c.1.1', 'twist_class_level': 200, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 835650
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 2}
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id: 835651
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 3}
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id: 835652
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 5}
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id: 835653
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 7}
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id: 835654
{'charpoly_factorization': [[[39, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 11}
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id: 835655
{'charpoly_factorization': [[[7056, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 13}
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id: 835656
{'charpoly_factorization': [[[3721, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 17}
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id: 835657
{'charpoly_factorization': [[[-151, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 19}
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id: 835658
{'charpoly_factorization': [[[3364, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 23}
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id: 835659
{'charpoly_factorization': [[[192, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 29}
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id: 835660
{'charpoly_factorization': [[[-18, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 31}
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id: 835661
{'charpoly_factorization': [[[19044, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 37}
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id: 835662
{'charpoly_factorization': [[[-229, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 41}
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id: 835663
{'charpoly_factorization': [[[26896, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 43}
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id: 835664
{'charpoly_factorization': [[[44944, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 47}
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id: 835665
{'charpoly_factorization': [[[334084, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 53}
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id: 835666
{'charpoly_factorization': [[[336, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 59}
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id: 835667
{'charpoly_factorization': [[[-858, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 61}
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id: 835668
{'charpoly_factorization': [[[43681, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 67}
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id: 835669
{'charpoly_factorization': [[[-780, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 71}
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id: 835670
{'charpoly_factorization': [[[162409, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 73}
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id: 835671
{'charpoly_factorization': [[[230, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 79}
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id: 835672
{'charpoly_factorization': [[[1671849, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 83}
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id: 835673
{'charpoly_factorization': [[[-1369, 1], 2]], 'hecke_orbit_code': 27021735270285712, 'p': 89}
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id: 835674
{'charpoly_factorization': [[[145924, 0, 1], 1]], 'hecke_orbit_code': 27021735270285712, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 7, 'label': '400.4.c.g', 'level': 400, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47187661
{'hecke_orbit_code': 27021735270285712, 'n': 1, 'trace_an': 2}
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id: 47187662
{'hecke_orbit_code': 27021735270285712, 'n': 2, 'trace_an': 0}
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id: 47187663
{'hecke_orbit_code': 27021735270285712, 'n': 3, 'trace_an': 0}
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id: 47187664
{'hecke_orbit_code': 27021735270285712, 'n': 4, 'trace_an': 0}
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id: 47187665
{'hecke_orbit_code': 27021735270285712, 'n': 5, 'trace_an': 0}
-
id: 47187666
{'hecke_orbit_code': 27021735270285712, 'n': 6, 'trace_an': 0}
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id: 47187667
{'hecke_orbit_code': 27021735270285712, 'n': 7, 'trace_an': 0}
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id: 47187668
{'hecke_orbit_code': 27021735270285712, 'n': 8, 'trace_an': 0}
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id: 47187669
{'hecke_orbit_code': 27021735270285712, 'n': 9, 'trace_an': 4}
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id: 47187670
{'hecke_orbit_code': 27021735270285712, 'n': 10, 'trace_an': 0}
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id: 47187671
{'hecke_orbit_code': 27021735270285712, 'n': 11, 'trace_an': -78}
-
id: 47187672
{'hecke_orbit_code': 27021735270285712, 'n': 12, 'trace_an': 0}
-
id: 47187673
{'hecke_orbit_code': 27021735270285712, 'n': 13, 'trace_an': 0}
-
id: 47187674
{'hecke_orbit_code': 27021735270285712, 'n': 14, 'trace_an': 0}
-
id: 47187675
{'hecke_orbit_code': 27021735270285712, 'n': 15, 'trace_an': 0}
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id: 47187676
{'hecke_orbit_code': 27021735270285712, 'n': 16, 'trace_an': 0}
-
id: 47187677
{'hecke_orbit_code': 27021735270285712, 'n': 17, 'trace_an': 0}
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id: 47187678
{'hecke_orbit_code': 27021735270285712, 'n': 18, 'trace_an': 0}
-
id: 47187679
{'hecke_orbit_code': 27021735270285712, 'n': 19, 'trace_an': 302}
-
id: 47187680
{'hecke_orbit_code': 27021735270285712, 'n': 20, 'trace_an': 0}
-
id: 47187681
{'hecke_orbit_code': 27021735270285712, 'n': 21, 'trace_an': 20}
-
id: 47187682
{'hecke_orbit_code': 27021735270285712, 'n': 22, 'trace_an': 0}
-
id: 47187683
{'hecke_orbit_code': 27021735270285712, 'n': 23, 'trace_an': 0}
-
id: 47187684
{'hecke_orbit_code': 27021735270285712, 'n': 24, 'trace_an': 0}
-
id: 47187685
{'hecke_orbit_code': 27021735270285712, 'n': 25, 'trace_an': 0}
-
id: 47187686
{'hecke_orbit_code': 27021735270285712, 'n': 26, 'trace_an': 0}
-
id: 47187687
{'hecke_orbit_code': 27021735270285712, 'n': 27, 'trace_an': 0}
-
id: 47187688
{'hecke_orbit_code': 27021735270285712, 'n': 28, 'trace_an': 0}
-
id: 47187689
{'hecke_orbit_code': 27021735270285712, 'n': 29, 'trace_an': -384}
-
id: 47187690
{'hecke_orbit_code': 27021735270285712, 'n': 30, 'trace_an': 0}
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id: 47187691
{'hecke_orbit_code': 27021735270285712, 'n': 31, 'trace_an': 36}
-
id: 47187692
{'hecke_orbit_code': 27021735270285712, 'n': 32, 'trace_an': 0}
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id: 47187693
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