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mf_newforms • Show schema
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{'Nk2': 500, 'analytic_conductor': 0.9981300252660048, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 10, 'char_parity': 1, 'char_values': [125, 10, [2], [1]], 'cm_discs': [], 'conrey_index': 24, 'conrey_indexes': [24, 49, 74, 99], 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 1, 0, 6, 0, -4, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461501, '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, 5, 2, 1, 2, 0], [1, 1, 25, 4, 1, 5, 0], [1, 1, 25, 5, 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mf_hecke_cc • Show schema
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'dual_conrey_index': 99, 'dual_embedding_index': 1, 'dual_embedding_m': 7, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.8090169943749475, 'embedding_root_real': 0.5877852522924731, 'hecke_orbit': 1, 'hecke_orbit_code': 274911461501, 'label': '125.2.e.a.24.1', 'level': 125, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 500, 'analytic_conductor': 0.9981300252660048, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 10, 'char_parity': 1, 'char_values': [125, 10, [2], [1]], 'conrey_index': 24, 'cusp_dim': 32, 'dim': 16, 'eis_dim': 40, 'eis_new_dim': 24, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461501, 'hecke_orbit_dims': [8, 8], 'label': '125.2.e', 'level': 125, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'mf_dim': 72, 'mf_new_dim': 40, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 4, 'sturm_bound': 25, 'trace_bound': 2, 'trace_display': [5, 5, 0, 0], 'traces': [16, 5, 5, 3, 0, -3, 0, -10, -3, 0, -8, -15, 5, 11, 0, -9, 10, 0, 5, 0, -8, 0, -5, -20, 0, -18, 5, 15, -15, 0, -3, 0, -10, 1, 0, 11, -30, -15, -21, 0, 12, 15, 0, -14, 0, 7, 0, 30, 58, 0, -28, 10, 10, 25, 0, 10, 0, -20, 0, 0, 17, 30, -10, -2, 0, 24, -20, 0, 19, 0, 22, -5, -15, -24, 0, 20, -10, -25, -15, 0, 26, 0, 45, 26, 0, -3, 20, 20, 15, 0, -18, -30, 0, -29, 0, 12, 60, 10, -56, 0, 2, -20, 5, 5, 0, -8, 0, 0, -20, 0, -43, 15, -5, -25, 0, -40, 5, 0, 16, 0, -52, -90, -60, 66, 0, -28, -30, -40, -11, 0, -58, 0, -5, -14, 0, -25, 25, 40, 35, 0, -13, 15, 0, 27, 0, -48, 10, 10, -70, 0, 42, 20, -20, 2, 0, -23, 0, 90, 39, 0, 57, 15, 5, -4, 0, 62, -35, 0, -53, 0, 40, 5, 0, 50, 0, 92, -10, -50, 35, 0, 32, 0, 25, -95, 0, 64, 30, -80, 25, 0, 52, 45, 0, 81, 0, 64, 5, 10, -10, 0, 32, -5, 35, -64, 0, 92, 0, -10, 40, 0, -33, 45, 85, 6, 0, -45, -20, 0, -41, 0, 47, 35, 20, 26, 0, -88, 20, -5, 85, 0, 4, 0, -45, 14, 0, -95, -100, 20, -55, 0, -98, 0, 0, -39, 0, -86, -15, -15, 84, 0, -128, -50, -30, -74, 0, -109, 0, -70, 11, 0, -25, -75, -95, 50, 0, -30, -40, 0, 15, 0, -58, -20, 20, -184, 0, 2, 40, 135, -26, 0, -38, 0, -30, 66, 0, 34, 20, -25, -112, 0, 87, 25, 0, -19, 0, -5, 10, 10, 94, 0, -8, 105, 85, 30, 0, 72, 0, -30, -76, 0, 127, -15, 40, 11, 0, 95, 85, 0, 50, 0, 87, 35, 10, -22, 0, 22, 40, 25, 1, 0, 102, 0, -20, 101, 0, 17, -95, -15, 74, 0, 14, -40, 0, -15, 0, 67, -45, 25, -110, 0, 50, -60, -10, 80, 0, -40, 0, -75, -105, 0, -69, -45, -35, -59, 0, -86, 80, 0, -1, 0, -78, 70, 30, 172, 0, -10, -40, -45, 5, 0, -118, 0, -25, -30, 0, -78, 40, 75, 75, 0, -8, -25, 0, 41, 0, -58, -5, -75, -60, 0, -18, -40, 30, 6, 0, -15, 0, 20, 110, 0, 47, 5, -5, -16, 0, 72, 35, 0, -115, 0, 12, -25, 20, 130, 0, 104, 55, 60, -12, 0, 137, 0, 60, -63, 0, 130, 30, 0, 55, 0, 31, 15, 0, 66, 0, 162, -15, -15, -60, 0, 84, 40, -125, -174, 0, 45, 0, 95, -20, 0, -68, 10, -65, -70, 0, -98, -90, 0, 16, 0, -33, -15, 60, -150, 0, -32, 40, -45, 45, 0, -33, 0, 0, 14, 0, -168, 55, 15, -61, 0, -193, -80, 0, -55, 0, -103, -55, -10, 150, 0, -138, -20, -80, 20, 0, -146, 0, 80, -40, 0, -73, -50, 40, 131, 0, -33, 0, 0, 109, 0, -168, 70, -90, -254, 0, -88, -90, 10, -103, 0, -100, 0, 20, -40, 0, 120, 15, 0, -44, 0, 107, 30, 0, 6, 0, 34, -95, -85, 194, 0, 130, -5, -65, 221, 0, 100, 0, -10, -11, 0, 44, 95, 145, 16, 0, 167, 10, 0, 5, 0, 107, 40, 40, 32, 0, 76, -70, -5, -66, 0, 72, 0, -20, 85, 0, 47, 145, -20, 110, 0, -8, -45, 0, -150, 0, 15, -40, -75, -20, 0, 32, -20, 90, 81, 0, -1, 0, 65, -15, 0, -58, 55, -70, -114, 0, -30, 30, 0, 85, 0, 25, 135, 90, 124, 0, 52, 0, 20, -69, 0, -43, 0, -15, -14, 0, 27, 50, -40, -16, 0, 27, -15, 0, -9, 0, -40, -30, 20, -300, 0, 34, -25, -130, 50, 0, 17, 0, 90, 170, 0, 122, -70, -50, -45, 0, 97, -15, 0, -136, 0, 164, 15, 145, 136, 0, -104, -35, -10, 21, 0, 122, 0, -45, -90, 0, 60, 0, 25, -36, 0, 92, -30, 0, 196, 0, 85, 5, -45, -36, 0, -58, -25, 45, -124, 0, 127, 0, -5, 75, 0, -10, -5, 25, -8, 0, -145, 105, 0, -25, 0, 17, 65, -95, -34, 0, -174, 0, -25, 102, 0, -128, 0, 25, -29, 0, -193, 0, 40, -120, 0, -115, -135, 0, -75, 0, -268, -70, -30, 186, 0, -168, 85, 15, -20, 0, -95, 0, -65, -22, 0, -168, -20, -50, 256, 0, -128, -55, 0, 140, 0, -173, -155, 40, -16, 0, -200, 65, 20, -100, 0, -96, 0, 55, -62, 0, 59, 60, 0, -131, 0, 47, 10, 0, -164, 0, 5, 110, -30, 16, 0, 50, -60, -20, 56, 0, -11, 0, -175, -90, 0, 147, -145, -70, 2, 0, 52, -100, 0, -6, 0, 192, -125, 40, -150, 0, 190, 90, 40, -75, 0, 77, 0, -30, 130, 0, 10, -105, 0, 80, 0, 91, 140, 0, -74, 0, 72, 70, 30, 74, 0, 132, 70, 115, -83, 0, 75, 0, 50, -75, 0, -26, 0, 40, -65, 0, -83, -45, 0, 170, 0, -58, 125, -35, 190, 0, 82, 30, 55, 4, 0, 42, 0, 130, -9, 0, -8, -100, 45, 6, 0, -28, 290, 0, 45, 0, 35, 40, 170, -170, 0, 132, 40, 15, 85, 0, -26, 0, -140, 119, 0, 107, 15, 30, 16, 0, 150, 55, 0, -185, 0, 32, -25, -50, 52, 0, 282, -120, -115, 150, 0, -5, 0, -40, -189, 0, 30, -85, -70, 44, 0, 72, -5, 0, 180, 0, 164, 70, -85, -96, 0, -28, 50, -10, -101, 0, 130, 0, -60, 21, 0, -47, -10, -30, 46, 0, 29, 110, 0, 40, 0, -73, -130, -65, -54, 0, -128, -125, 145, 240, 0, -15, 0, -125, 120, 0, -60, -70, -45, 124, 0, -243, 20, 0, -78, 0, -78, -165, 155, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 2443539
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 24, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461501, 'target_is_minimal': False, 'target_label': '125.2.e.a.24.1', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2443540
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 101, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984765, 'target_is_minimal': False, 'target_label': '125.2.d.a.101.1', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2443541
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 21, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984665, 'target_is_minimal': True, 'target_label': '25.2.d.a.21.1', 'target_level': 25, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 2443542
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 24, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461501, 'target_is_minimal': False, 'target_label': '125.2.e.a.24.2', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2443543
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 46, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262305, 'target_is_minimal': False, 'target_label': '225.2.h.b.46.1', 'target_level': 225, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 2443544
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 321, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460048, 'target_is_minimal': False, 'target_label': '400.2.u.b.321.1', 'target_level': 400, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 2443545
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 376, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355761, 'target_is_minimal': False, 'target_label': '625.2.d.b.376.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2443546
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525403583578737, 'target_is_minimal': False, 'target_label': '625.2.d.h.251.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 2443547
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202993, 'target_is_minimal': False, 'target_label': '625.2.e.c.374.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2443548
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 99, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461501, 'target_is_minimal': False, 'target_label': '125.2.e.a.99.2', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 2443549
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 6, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984665, 'target_is_minimal': True, 'target_label': '25.2.d.a.6.1', 'target_level': 25, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 2443550
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 624, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 68753031793, 'target_is_minimal': False, 'target_label': '625.2.b.a.624.4', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 2443551
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 249, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202993, 'target_is_minimal': False, 'target_label': '625.2.e.c.249.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 2443552
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199288296049, 'target_is_minimal': False, 'target_label': '625.2.a.c.1.2', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 2443553
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925553, 'target_is_minimal': False, 'target_label': '625.2.a.b.1.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 2443554
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 249, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202993, 'target_is_minimal': False, 'target_label': '625.2.e.c.249.2', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2443555
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 624, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753031793, 'target_is_minimal': False, 'target_label': '625.2.b.a.624.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 2443556
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 26, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984765, 'target_is_minimal': False, 'target_label': '125.2.d.a.26.1', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 2443557
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 99, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461501, 'target_is_minimal': False, 'target_label': '125.2.e.a.99.1', 'target_level': 125, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 2443558
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202993, 'target_is_minimal': False, 'target_label': '625.2.e.c.374.2', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 2443559
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355761, 'target_is_minimal': False, 'target_label': '625.2.d.b.251.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 2443560
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 376, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525403583578737, 'target_is_minimal': False, 'target_label': '625.2.d.h.376.1', 'target_level': 625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '25.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2443561
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262305, 'target_is_minimal': False, 'target_label': '225.2.h.b.181.1', 'target_level': 225, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '75.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 2443562
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170412537, 'target_is_minimal': False, 'target_label': '5625.2.a.f.1.2', 'target_level': 5625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '75.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 2443563
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915671545, 'target_is_minimal': False, 'target_label': '5625.2.a.d.1.1', 'target_level': 5625, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '75.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 2443564
{'conductor': 100, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288305424, 'target_is_minimal': False, 'target_label': '10000.2.a.c.1.1', 'target_level': 10000, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '100.63', 'twisting_conrey_index': 63, 'weight': 2}
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id: 2443565
{'conductor': 100, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 81, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460048, 'target_is_minimal': False, 'target_label': '400.2.u.b.81.1', 'target_level': 400, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '100.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 2443566
{'conductor': 100, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 24, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461501, 'source_is_minimal': False, 'source_label': '125.2.e.a.24.1', 'source_level': 125, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934639888, 'target_is_minimal': False, 'target_label': '10000.2.a.l.1.2', 'target_level': 10000, 'twist_class_label': '25.2.d.a.6.1', 'twist_class_level': 25, 'twisting_char_label': '100.87', 'twisting_conrey_index': 87, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 347950
{'charpoly_factorization': [[[1, 0, 1, 0, 6, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 2}
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id: 347951
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 3}
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id: 347952
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 274911461501, 'p': 5}
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id: 347953
{'charpoly_factorization': [[[1, 0, 3, 0, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 7}
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id: 347954
{'charpoly_factorization': [[[16, -32, 24, 2, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 11}
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id: 347955
{'charpoly_factorization': [[[6561, 0, -2916, 0, 486, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 13}
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id: 347956
{'charpoly_factorization': [[[256, 0, -704, 0, 736, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 17}
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id: 347957
{'charpoly_factorization': [[[25, -50, 40, -5, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 19}
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id: 347958
{'charpoly_factorization': [[[923521, 0, -97061, 0, 3841, 0, 19, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 23}
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id: 347959
{'charpoly_factorization': [[[25, 0, 10, 5, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 29}
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id: 347960
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 31}
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id: 347961
{'charpoly_factorization': [[[1, 0, -29, 0, 321, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 37}
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id: 347962
{'charpoly_factorization': [[[16, 8, 24, -8, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 41}
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id: 347963
{'charpoly_factorization': [[[81, 0, 27, 0, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 43}
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id: 347964
{'charpoly_factorization': [[[1, 0, 1, 0, 6, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 47}
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id: 347965
{'charpoly_factorization': [[[130321, 0, -361, 0, 681, 0, -41, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 53}
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id: 347966
{'charpoly_factorization': [[[2025, 675, 90, 0, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 59}
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id: 347967
{'charpoly_factorization': [[[1681, -697, 139, -13, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 61}
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id: 347968
{'charpoly_factorization': [[[3748096, 0, 30976, 0, 5856, 0, -124, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 67}
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id: 347969
{'charpoly_factorization': [[[841, -87, 34, -8, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 71}
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id: 347970
{'charpoly_factorization': [[[43046721, 0, -531441, 0, 6561, 0, -81, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 73}
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id: 347971
{'charpoly_factorization': [[[625, 250, 100, 15, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 79}
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id: 347972
{'charpoly_factorization': [[[14641, 0, -7381, 0, 1401, 0, 19, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 83}
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id: 347973
{'charpoly_factorization': [[[6400, -1600, 240, -20, 1], 2]], 'hecke_orbit_code': 274911461501, 'p': 89}
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id: 347974
{'charpoly_factorization': [[[14641, 0, -2299, 0, 166, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 274911461501, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '125.2.e.a', 'level': 125, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 28865000
{'hecke_orbit_code': 274911461501, 'n': 1, 'trace_an': 8}
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id: 28865001
{'hecke_orbit_code': 274911461501, 'n': 2, 'trace_an': 0}
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id: 28865002
{'hecke_orbit_code': 274911461501, 'n': 3, 'trace_an': 0}
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id: 28865003
{'hecke_orbit_code': 274911461501, 'n': 4, 'trace_an': 4}
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id: 28865004
{'hecke_orbit_code': 274911461501, 'n': 5, 'trace_an': 0}
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id: 28865005
{'hecke_orbit_code': 274911461501, 'n': 6, 'trace_an': 6}
-
id: 28865006
{'hecke_orbit_code': 274911461501, 'n': 7, 'trace_an': 0}
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id: 28865007
{'hecke_orbit_code': 274911461501, 'n': 8, 'trace_an': 0}
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id: 28865008
{'hecke_orbit_code': 274911461501, 'n': 9, 'trace_an': -4}
-
id: 28865009
{'hecke_orbit_code': 274911461501, 'n': 10, 'trace_an': 0}
-
id: 28865010
{'hecke_orbit_code': 274911461501, 'n': 11, 'trace_an': -4}
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id: 28865011
{'hecke_orbit_code': 274911461501, 'n': 12, 'trace_an': 0}
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id: 28865012
{'hecke_orbit_code': 274911461501, 'n': 13, 'trace_an': 0}
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id: 28865013
{'hecke_orbit_code': 274911461501, 'n': 14, 'trace_an': -2}
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id: 28865014
{'hecke_orbit_code': 274911461501, 'n': 15, 'trace_an': 0}
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id: 28865015
{'hecke_orbit_code': 274911461501, 'n': 16, 'trace_an': -12}
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id: 28865016
{'hecke_orbit_code': 274911461501, 'n': 17, 'trace_an': 0}
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id: 28865017
{'hecke_orbit_code': 274911461501, 'n': 18, 'trace_an': 0}
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id: 28865018
{'hecke_orbit_code': 274911461501, 'n': 19, 'trace_an': 10}
-
id: 28865019
{'hecke_orbit_code': 274911461501, 'n': 20, 'trace_an': 0}
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id: 28865020
{'hecke_orbit_code': 274911461501, 'n': 21, 'trace_an': -4}
-
id: 28865021
{'hecke_orbit_code': 274911461501, 'n': 22, 'trace_an': 0}
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id: 28865022
{'hecke_orbit_code': 274911461501, 'n': 23, 'trace_an': 0}
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id: 28865023
{'hecke_orbit_code': 274911461501, 'n': 24, 'trace_an': 0}
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id: 28865024
{'hecke_orbit_code': 274911461501, 'n': 25, 'trace_an': 0}
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id: 28865025
{'hecke_orbit_code': 274911461501, 'n': 26, 'trace_an': -24}
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id: 28865026
{'hecke_orbit_code': 274911461501, 'n': 27, 'trace_an': 0}
-
id: 28865027
{'hecke_orbit_code': 274911461501, 'n': 28, 'trace_an': 0}
-
id: 28865028
{'hecke_orbit_code': 274911461501, 'n': 29, 'trace_an': -10}
-
id: 28865029
{'hecke_orbit_code': 274911461501, 'n': 30, 'trace_an': 0}
-
id: 28865030
{'hecke_orbit_code': 274911461501, 'n': 31, 'trace_an': 6}
-
id: 28865031
{'hecke_orbit_code': 274911461501, 'n': 32, 'trace_an': 0}
-
id: 28865032
{'hecke_orbit_code': 274911461501, 'n': 33, 'trace_an': 0}
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