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mf_newforms • Show schema
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{'Nk2': 10752, 'analytic_conductor': 39.64928352385769, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [672, 2, [127, 421, 449, 577], [1, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 575, 'dim': 36, 'has_non_self_twist': 1, 'hecke_orbit': 1, 'hecke_orbit_code': 481103446688, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '672.4.h.a', 'level': 672, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 10752, 'analytic_conductor': 39.64928352385769, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [672, 2, [127, 421, 449, 577], [1, 2, 1, 2]], 'conrey_index': 575, 'cusp_dim': 368, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_orbit_code': 481103446688, 'hecke_orbit_dims': [36, 36], 'label': '672.4.h', 'level': 672, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 400, 'mf_new_dim': 72, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 512, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1800, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 1056, 0, 0, 0, 0, 0, 0, 0, 1968, 0, 0, 0, -3528, 0, 0, 0, 0, 0, 0, 0, 928, 0, 0, 0, 1248, 0, 0, 0, 0, 0, 0, 0, 1488, 0, 0, 0, -3312, 0, 0, 0, 0, 0, 0, 0, -2456, 0, 0, 0, 4848, 0, 0, 0, 0, 0, 0, 0, 4944, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 1456, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -5424, 0, 0, 0, 1368, 0, 0, 0, 0, 0, 0, 0, -5840, 0, 0, 0, 1008, 0, 0, 0, 0, 0, 0, 0, 8544, 0, 0, 0, 14976, 0, 0, 0, 0, 0, 0, 0, 9216, 0, 0, 0, -10464, 0, 0, 0, 0, 0, 0, 0, -19920, 0, 0, 0, 2040, 0, 0, 0, 0, 0, 0, 0, -17664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 15744, 0, 0, 0, 0, 0, 0, 0, 27280, 0, 0, 0, -38832, 0, 0, 0, 0, 0, 0, 0, -32256, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, -23432, 0, 0, 0, 19584, 0, 0, 0, 0, 0, 0, 0, 18432, 0, 0, 0, 28656, 0, 0, 0, 0, 0, 0, 0, 9824, 0, 0, 0, -6192, 0, 0, 0, 0, 0, 0, 0, -24032, 0, 0, 0, -21024, 0, 0, 0, 0, 0, 0, 0, 3696, 0, 0, 0, -2592, 0, 0, 0, 0, 0, 0, 0, 30608, 0, 0, 0, 35736, 0, 0, 0, 0, 0, 0, 0, 48384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20144, 0, 0, 0, -75408, 0, 0, 0, 0, 0, 0, 0, -46848, 0, 0, 0, 82944, 0, 0, 0, 0, 0, 0, 0, 54208, 0, 0, 0, 8688, 0, 0, 0, 0, 0, 0, 0, 50896, 0, 0, 0, -36192, 0, 0, 0, 0, 0, 0, 0, 5152, 0, 0, 0, -71400, 0, 0, 0, 0, 0, 0, 0, -30112, 0, 0, 0, 30768, 0, 0, 0, 0, 0, 0, 0, 20752, 0, 0, 0, -9072, 0, 0, 0, 0, 0, 0, 0, -24288, 0, 0, 0, -98112, 0, 0, 0, 0, 0, 0, 0, 13824, 0, 0, 0, -47664, 0, 0, 0, 0, 0, 0, 0, -9200, 0, 0, 0, 98592, 0, 0, 0, 0, 0, 0, 0, 113664, 0, 0, 0, 33168, 0, 0, 0, 0, 0, 0, 0, -1960, 0, 0, 0, 71664, 0, 0, 0, 0, 0, 0, 0, -79568, 0, 0, 0, -64656, 0, 0, 0, 0, 0, 0, 0, -117952, 0, 0, 0, -8736, 0, 0, 0, 0, 0, 0, 0, -56384, 0, 0, 0, 45600, 0, 0, 0, 0, 0, 0, 0, 70448, 0, 0, 0, -133728, 0, 0, 0, 0, 0, 0, 0, 33344, 0, 0, 0, 14736, 0, 0, 0, 0, 0, 0, 0, -10240, 0, 0, 0, 50976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31224, 0, 0, 0, 0, 0, 0, 0, 14016, 0, 0, 0, 30624, 0, 0, 0, 0, 0, 0, 0, -64368, 0, 0, 0, 34272, 0, 0, 0, 0, 0, 0, 0, 16240, 0, 0, 0, -66144, 0, 0, 0, 0, 0, 0, 0, -91296, 0, 0, 0, 135600, 0, 0, 0, 0, 0, 0, 0, -54880, 0, 0, 0, -6720, 0, 0, 0, 0, 0, 0, 0, -70016, 0, 0, 0, 18096, 0, 0, 0, 0, 0, 0, 0, 19824, 0, 0, 0, 6384, 0, 0, 0, 0, 0, 0, 0, 127664, 0, 0, 0, 19032, 0, 0, 0, 0, 0, 0, 0, 69776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24768, 0, 0, 0, 65952, 0, 0, 0, 0, 0, 0, 0, 125936, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, -248384, 0, 0, 0, -48288, 0, 0, 0, 0, 0, 0, 0, -928, 0, 0, 0, -63072, 0, 0, 0, 0, 0, 0, 0, 31808, 0, 0, 0, 194352, 0, 0, 0, 0, 0, 0, 0, 38368, 0, 0, 0, -24624, 0, 0, 0, 0, 0, 0, 0, 205616, 0, 0, 0, -25200, 0, 0, 0, 0, 0, 0, 0, -66392, 0, 0, 0, 138912, 0, 0, 0, 0, 0, 0, 0, 19376, 0, 0, 0, -34656, 0, 0, 0, 0, 0, 0, 0, 67456, 0, 0, 0, -174960, 0, 0, 0, 0, 0, 0, 0, -247792, 0, 0, 0, -127440, 0, 0, 0, 0, 0, 0, 0, -27888, 0, 0, 0, -72048, 0, 0, 0, 0, 0, 0, 0, 138144, 0, 0, 0, -36384, 0, 0, 0, 0, 0, 0, 0, -22432, 0, 0, 0, -68208, 0, 0, 0, 0, 0, 0, 0, 85552, 0, 0, 0, -77664, 0, 0, 0, 0, 0, 0, 0, -143712, 0, 0, 0, 181248, 0, 0, 0, 0, 0, 0, 0, 165584, 0, 0, 0, 30696, 0, 0, 0, 0, 0, 0, 0, 106784, 0, 0, 0, -251712, 0, 0, 0, 0, 0, 0, 0, -63840, 0, 0, 0, -164016, 0, 0, 0, 0, 0, 0, 0, -1552, 0, 0, 0, -37584, 0, 0, 0, 0, 0, 0, 0, 129392, 0, 0, 0, 22176, 0, 0, 0, 0, 0, 0, 0, 105664, 0, 0, 0, 258432, 0, 0, 0, 0, 0, 0, 0, 82736, 0, 0, 0, -336576, 0, 0, 0, 0, 0, 0, 0, -237952, 0, 0, 0, 451104, 0, 0, 0, 0, 0, 0, 0, 84128, 0, 0, 0, 68016, 0, 0, 0, 0, 0, 0, 0, 35952, 0, 0, 0, -343104, 0, 0, 0, 0, 0, 0, 0, -277184, 0, 0, 0, -335784, 0, 0, 0, 0, 0, 0, 0, -173152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 380560, 0, 0, 0, 236256, 0, 0, 0, 0, 0, 0, 0, 76464, 0, 0, 0, 44928, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 6071665
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 575, 'source_dim': 36, 'source_embedding_index': 29, 'source_hecke_orbit_code': 481103446688, 'source_is_minimal': True, 'source_label': '672.4.h.a.575.29', 'source_level': 672, 'target_conrey_index': 575, 'target_dim': 36, 'target_embedding_index': 29, 'target_hecke_orbit_code': 481103446688, 'target_is_minimal': True, 'target_label': '672.4.h.a.575.29', 'target_level': 672, 'twist_class_label': '672.4.h.a.575.7', 'twist_class_level': 672, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 6071666
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 575, 'source_dim': 36, 'source_embedding_index': 29, 'source_hecke_orbit_code': 481103446688, 'source_is_minimal': True, 'source_label': '672.4.h.a.575.29', 'source_level': 672, 'target_conrey_index': 575, 'target_dim': 36, 'target_embedding_index': 7, 'target_hecke_orbit_code': 481103446688, 'target_is_minimal': True, 'target_label': '672.4.h.a.575.7', 'target_level': 672, 'twist_class_label': '672.4.h.a.575.7', 'twist_class_level': 672, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 6071667
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 575, 'source_dim': 36, 'source_embedding_index': 29, 'source_hecke_orbit_code': 481103446688, 'source_is_minimal': True, 'source_label': '672.4.h.a.575.29', 'source_level': 672, 'target_conrey_index': 575, 'target_dim': 36, 'target_embedding_index': 8, 'target_hecke_orbit_code': 481103446688, 'target_is_minimal': True, 'target_label': '672.4.h.a.575.8', 'target_level': 672, 'twist_class_label': '672.4.h.a.575.7', 'twist_class_level': 672, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 6071668
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 575, 'source_dim': 36, 'source_embedding_index': 29, 'source_hecke_orbit_code': 481103446688, 'source_is_minimal': True, 'source_label': '672.4.h.a.575.29', 'source_level': 672, 'target_conrey_index': 575, 'target_dim': 36, 'target_embedding_index': 30, 'target_hecke_orbit_code': 481103446688, 'target_is_minimal': True, 'target_label': '672.4.h.a.575.30', 'target_level': 672, 'twist_class_label': '672.4.h.a.575.7', 'twist_class_level': 672, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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hecke_orbit_code 481103446688 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '672.4.h.a', 'level': 672, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 9561546
{'hecke_orbit_code': 481103446688, 'n': 1, 'trace_an': 36}
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