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mf_newforms • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [225, 6, [101, 127], [2, 3]], 'cm_discs': [], 'conrey_index': 49, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, -1, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687228322017, 'hecke_ring_generator_nbound': 2, '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, 9, 3, 1, 3, 0], [1, 1, 45, 10, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 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mf_hecke_cc • Show schema
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-0.3255479922587379, -0.38197563840171844, -0.12548342629292442, -0.4792280243687383, -0.3887807341064042, -0.2417047252439241, -0.462033738739839, 0.3544095208269486, -0.36065040776862706, -0.35543390894905036, 0.04671846758417286, -0.21581250849133685, -0.3503553260229464, 0.06324533381538029, -0.06337694036665661, -0.1726222174660363, 0.07200879621846244, -0.27637068277047677, -0.04645220697471465, 0.0, -0.3984679747210232, 0.3551074902761383, -0.43082008664418003, -0.0521066719841733, -0.34801458088386567, -0.27065334843947614, -0.32571604407197113, -0.18224770544212468, -0.28733107559163074], 'char_orbit_index': 11, 'conrey_index': 49, 'dual_conrey_index': 124, 'dual_embedding_index': 1, 'dual_embedding_m': 3, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.5, 'embedding_root_real': -0.8660254037844386, 'hecke_orbit': 1, 'hecke_orbit_code': 687228322017, 'label': '225.2.k.a.49.1', 'level': 225, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [225, 6, [101, 127], [2, 3]], 'conrey_index': 49, 'cusp_dim': 48, 'dim': 32, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322017, 'hecke_orbit_dims': [4, 12, 16], 'label': '225.2.k', 'level': 225, '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': [3, 5], 'level_radical': 15, 'mf_dim': 72, 'mf_new_dim': 40, 'num_forms': 3, 'prim_orbit_index': 10, 'relative_dim': 16, 'sturm_bound': 60, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 16, 0, 8, 0, 0, -2, 0, 10, 0, 0, -18, 0, -16, 0, 0, 8, 0, -30, 0, 0, 18, 0, -56, 0, 0, -14, 0, -8, 0, 0, 18, 0, 4, 0, 0, -10, 0, 26, 0, 0, -8, 0, 0, 0, 0, -6, 0, -10, 0, 0, -44, 0, 60, 0, 0, 2, 0, 10, 0, 0, -44, 0, -32, 0, 0, -42, 0, -64, 0, 0, 40, 0, -14, 0, 0, -22, 0, -22, 0, 0, 18, 0, 28, 0, 0, 132, 0, -4, 0, 0, -42, 0, 124, 0, 0, 2, 0, 24, 0, 0, 48, 0, 6, 0, 0, 56, 0, -124, 0, 0, 4, 0, -68, 0, 0, -6, 0, 26, 0, 0, 26, 0, 78, 0, 0, 14, 0, 78, 0, 0, -180, 0, 0, 0, 0, 44, 0, 122, 0, 0, 134, 0, -38, 0, 0, -38, 0, -38, 0, 0, -48, 0, 32, 0, 0, -2, 0, 96, 0, 0, -124, 0, -36, 0, 0, -24, 0, -10, 0, 0, 118, 0, 44, 0, 0, 32, 0, -128, 0, 0, 6, 0, 84, 0, 0, 0, 0, 32, 0, 0, 40, 0, 42, 0, 0, -76, 0, 66, 0, 0, -4, 0, -148, 0, 0, 38, 0, 16, 0, 0, -78, 0, -276, 0, 0, -148, 0, -98, 0, 0, -36, 0, -48, 0, 0, -70, 0, -114, 0, 0, 26, 0, -82, 0, 0, -142, 0, 52, 0, 0, 176, 0, -40, 0, 0, 30, 0, -144, 0, 0, 128, 0, 68, 0, 0, 46, 0, 2, 0, 0, -36, 0, -60, 0, 0, 56, 0, 16, 0, 0, 90, 0, -204, 0, 0, -108, 0, 42, 0, 0, 128, 0, 12, 0, 0, 76, 0, 164, 0, 0, -178, 0, 348, 0, 0, -120, 0, 50, 0, 0, 98, 0, 128, 0, 0, -80, 0, -84, 0, 0, 268, 0, 100, 0, 0, -78, 0, 66, 0, 0, -238, 0, 62, 0, 0, -24, 0, 16, 0, 0, -264, 0, -30, 0, 0, 292, 0, 240, 0, 0, 126, 0, -30, 0, 0, -130, 0, 214, 0, 0, 224, 0, 102, 0, 0, -48, 0, -24, 0, 0, -80, 0, 44, 0, 0, 316, 0, -84, 0, 0, 8, 0, -18, 0, 0, 236, 0, 82, 0, 0, -186, 0, 380, 0, 0, -114, 0, -12, 0, 0, 114, 0, 56, 0, 0, 60, 0, -42, 0, 0, -324, 0, 108, 0, 0, 98, 0, -186, 0, 0, -222, 0, -154, 0, 0, 100, 0, -86, 0, 0, 120, 0, -100, 0, 0, -38, 0, -372, 0, 0, 162, 0, -80, 0, 0, 44, 0, -332, 0, 0, -238, 0, -274, 0, 0, 80, 0, 84, 0, 0, 36, 0, -480, 0, 0, 214, 0, -168, 0, 0, -286, 0, -90, 0, 0, -236, 0, 38, 0, 0, 216, 0, -228, 0, 0, -24, 0, -4, 0, 0, -194, 0, 80, 0, 0, -146, 0, -40, 0, 0, -316, 0, 40, 0, 0, 8, 0, -126, 0, 0, -174, 0, 96, 0, 0, 116, 0, 98, 0, 0, 84, 0, 446, 0, 0, -180, 0, 272, 0, 0, 6, 0, 42, 0, 0, 22, 0, 262, 0, 0, 90, 0, -210, 0, 0, 124, 0, -104, 0, 0, 210, 0, -18, 0, 0, -26, 0, 98, 0, 0, 240, 0, 70, 0, 0, -8, 0, -2, 0, 0, 344, 0, 336, 0, 0, 18, 0, -38, 0, 0, 72, 0, 314, 0, 0, 16, 0, 204, 0, 0, -84, 0, 60, 0, 0, -14, 0, 24, 0, 0, 260, 0, -146, 0, 0, -182, 0, -56, 0, 0, -304, 0, 84, 0, 0, -192, 0, 196, 0, 0, -286, 0, 30, 0, 0, 26, 0, -96, 0, 0, 172, 0, 284, 0, 0, 52, 0, 208, 0, 0, -198, 0, 118, 0, 0, -152, 0, -204, 0, 0, 198, 0, -204, 0, 0, 0, 0, 102, 0, 0, 152, 0, -428, 0, 0, 116, 0, -164, 0, 0, 90, 0, -580, 0, 0, -122, 0, 142, 0, 0, 140, 0, -384, 0, 0, -2, 0, -2, 0, 0, 284, 0, -72, 0, 0, -142, 0, 4, 0, 0, -60, 0, -66, 0, 0, 114, 0, -4, 0, 0, 122, 0, -126, 0, 0, 146, 0, 138, 0, 0, 114, 0, -184, 0, 0, -60, 0, -52, 0, 0, -154, 0, 28, 0, 0, -116, 0, 322, 0, 0, 72, 0, 0, 0, 0, -292, 0, -32, 0, 0, -288, 0, 232, 0, 0, -42, 0, -80, 0, 0, -222, 0, 504, 0, 0, -120, 0, -120, 0, 0, 872, 0, 120, 0, 0, -100, 0, 96, 0, 0, -514, 0, 318, 0, 0, 28, 0, 6, 0, 0, 504, 0, -294, 0, 0, 380, 0, 36, 0, 0, 68, 0, 190, 0, 0, 120, 0, -72, 0, 0, 54, 0, 162, 0, 0, -296, 0, 172, 0, 0, 204, 0, 544, 0, 0, 306, 0, -144, 0, 0, -132, 0, 132, 0, 0, -28, 0, -258, 0, 0, -508, 0, -4, 0, 0, -254, 0, 86, 0, 0, -172, 0, -166, 0, 0, 132, 0, 90, 0, 0, -288, 0, -156, 0, 0, 44, 0, 234, 0, 0, -346, 0, -146, 0, 0, 192, 0, 146, 0, 0, -60, 0, -280, 0, 0, -294, 0, -488, 0, 0, 124, 0, 222, 0, 0, -110, 0, -320, 0, 0, -170, 0, -84, 0, 0, 324, 0, 0, 0, 0, -90, 0, -298, 0, 0, 210, 0, -14, 0, 0, -382, 0, 220, 0, 0, 176, 0, -158, 0, 0, 300, 0, -972, 0, 0, -38, 0, -72, 0, 0, -12, 0, -204, 0, 0, -68, 0, -214, 0, 0, -512, 0, -324, 0, 0, 94, 0, -200, 0, 0, 76, 0, 464, 0, 0, 30, 0, -72, 0, 0, 236, 0, 60, 0, 0, -86, 0, -228, 0, 0, -80, 0, 172, 0, 0, 126, 0, -44, 0, 0, 204, 0, 182, 0, 0, 108, 0, -344, 0, 0, -66, 0, 264, 0, 0, 34, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 7786665
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322017, 'target_is_minimal': False, 'target_label': '225.2.k.a.49.1', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 7786666
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322467, 'target_is_minimal': False, 'target_label': '675.2.k.a.199.2', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7786667
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461421, 'target_is_minimal': True, 'target_label': '45.2.e.a.31.1', 'target_level': 45, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7786668
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 76, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461601, 'target_is_minimal': False, 'target_label': '225.2.e.a.76.1', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7786669
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322017, 'target_is_minimal': False, 'target_label': '225.2.k.a.49.2', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 7786670
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 424, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322467, 'target_is_minimal': False, 'target_label': '675.2.k.a.424.1', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7786671
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268007774185, 'target_is_minimal': False, 'target_label': '2025.2.b.c.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 7786672
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635144681, 'target_is_minimal': False, 'target_label': '2025.2.b.d.649.2', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 7786673
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322017, 'target_is_minimal': False, 'target_label': '225.2.k.a.124.2', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 7786674
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 91, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461511, 'target_is_minimal': False, 'target_label': '135.2.e.a.91.1', 'target_level': 135, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7786675
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462051, 'target_is_minimal': False, 'target_label': '675.2.e.a.226.1', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 7786676
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322467, 'target_is_minimal': False, 'target_label': '675.2.k.a.199.1', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 7786677
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 481, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294416, 'target_is_minimal': False, 'target_label': '720.2.q.d.481.1', 'target_level': 720, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 7786678
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 46, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461511, 'target_is_minimal': False, 'target_label': '135.2.e.a.46.1', 'target_level': 135, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7786679
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007774185, 'target_is_minimal': False, 'target_label': '2025.2.b.c.649.2', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 7786680
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 16, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461421, 'target_is_minimal': True, 'target_label': '45.2.e.a.16.1', 'target_level': 45, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 7786681
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660926953, 'target_is_minimal': False, 'target_label': '2025.2.a.b.1.1', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 7786682
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635144681, 'target_is_minimal': False, 'target_label': '2025.2.b.d.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 7786683
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036821, 'target_is_minimal': False, 'target_label': '405.2.a.e.1.1', 'target_level': 405, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 7786684
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038441, 'target_is_minimal': False, 'target_label': '2025.2.a.e.1.1', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 7786685
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 424, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322467, 'target_is_minimal': False, 'target_label': '675.2.k.a.424.2', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 7786686
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925333, 'target_is_minimal': False, 'target_label': '405.2.a.b.1.1', 'target_level': 405, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 7786687
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322017, 'target_is_minimal': False, 'target_label': '225.2.k.a.124.1', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 7786688
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 451, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462051, 'target_is_minimal': False, 'target_label': '675.2.e.a.451.1', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 7786689
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461601, 'target_is_minimal': False, 'target_label': '225.2.e.a.151.1', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 7786690
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 1441, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545184368, 'target_is_minimal': False, 'target_label': '2160.2.q.a.1441.1', 'target_level': 2160, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 7786691
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 241, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294416, 'target_is_minimal': False, 'target_label': '720.2.q.d.241.1', 'target_level': 720, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 7786692
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 721, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545184368, 'target_is_minimal': False, 'target_label': '2160.2.q.a.721.1', 'target_level': 2160, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 7786693
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307265872, 'target_is_minimal': False, 'target_label': '6480.2.a.k.1.1', 'target_level': 6480, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 7786694
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322017, 'source_is_minimal': False, 'source_label': '225.2.k.a.49.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463082320, 'target_is_minimal': False, 'target_label': '6480.2.a.x.1.1', 'target_level': 6480, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.167', 'twisting_conrey_index': 167, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 538200
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 2}
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id: 538201
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 3}
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id: 538202
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 687228322017, 'p': 5}
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id: 538203
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 7}
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id: 538204
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 11}
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id: 538205
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 13}
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id: 538206
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 17}
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id: 538207
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 687228322017, 'p': 19}
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id: 538208
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 23}
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id: 538209
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 29}
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id: 538210
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 687228322017, 'p': 31}
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id: 538211
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 37}
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id: 538212
{'charpoly_factorization': [[[25, 5, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 41}
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id: 538213
{'charpoly_factorization': [[[4096, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 43}
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id: 538214
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 47}
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id: 538215
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 53}
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id: 538216
{'charpoly_factorization': [[[196, 14, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 59}
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id: 538217
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 61}
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id: 538218
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 67}
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id: 538219
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 687228322017, 'p': 71}
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id: 538220
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 73}
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id: 538221
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 687228322017, 'p': 79}
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id: 538222
{'charpoly_factorization': [[[6561, 0, -81, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 83}
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id: 538223
{'charpoly_factorization': [[[-15, 1], 4]], 'hecke_orbit_code': 687228322017, 'p': 89}
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id: 538224
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 687228322017, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '225.2.k.a', 'level': 225, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 10526466
{'hecke_orbit_code': 687228322017, 'n': 1, 'trace_an': 4}
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id: 10526467
{'hecke_orbit_code': 687228322017, 'n': 2, 'trace_an': 0}
-
id: 10526468
{'hecke_orbit_code': 687228322017, 'n': 3, 'trace_an': 0}
-
id: 10526469
{'hecke_orbit_code': 687228322017, 'n': 4, 'trace_an': -2}
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id: 10526470
{'hecke_orbit_code': 687228322017, 'n': 5, 'trace_an': 0}
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id: 10526471
{'hecke_orbit_code': 687228322017, 'n': 6, 'trace_an': 0}
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id: 10526472
{'hecke_orbit_code': 687228322017, 'n': 7, 'trace_an': 0}
-
id: 10526473
{'hecke_orbit_code': 687228322017, 'n': 8, 'trace_an': 0}
-
id: 10526474
{'hecke_orbit_code': 687228322017, 'n': 9, 'trace_an': -6}
-
id: 10526475
{'hecke_orbit_code': 687228322017, 'n': 10, 'trace_an': 0}
-
id: 10526476
{'hecke_orbit_code': 687228322017, 'n': 11, 'trace_an': 4}
-
id: 10526477
{'hecke_orbit_code': 687228322017, 'n': 12, 'trace_an': 0}
-
id: 10526478
{'hecke_orbit_code': 687228322017, 'n': 13, 'trace_an': 0}
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id: 10526479
{'hecke_orbit_code': 687228322017, 'n': 14, 'trace_an': -6}
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id: 10526480
{'hecke_orbit_code': 687228322017, 'n': 15, 'trace_an': 0}
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id: 10526481
{'hecke_orbit_code': 687228322017, 'n': 16, 'trace_an': 2}
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id: 10526482
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id: 10526695
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id: 10526696
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id: 10526701
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id: 10526703
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id: 10526705
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id: 10526706
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id: 10526707
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id: 10526709
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id: 10526710
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id: 10526711
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id: 10526712
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id: 10526713
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id: 10526714
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id: 10526716
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id: 10526717
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id: 10526718
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id: 10526719
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id: 10526720
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id: 10526721
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id: 10526722
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id: 10526723
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