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mf_newforms • Show schema
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{'Nk2': 25920, 'analytic_conductor': 95.5830942092998, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1620, 3, [811, 1541, 1297], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 541, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1024, 32, 1]], [11, [1296, -36, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022147587147348, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1620.4.i.g', 'level': 1620, '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, 5], 'level_radical': 30, 'minimal_twist': '60.4.a.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+5\\zeta_{6}q^{5}+(-2^{5}+2^{5}\\zeta_{6})q^{7}+(6^{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1620.4.i', 'trace_display': [0, 0, 5, -32], 'trace_hash': 1800237018920101883, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.900', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.189', 'prec': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 25920, 'analytic_conductor': 95.5830942092998, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1620, 3, [811, 1541, 1297], [3, 2, 3]], 'conrey_index': 541, 'cusp_dim': 1872, 'dim': 96, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 549822924372, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 12, 12], 'label': '1620.4.i', 'level': 1620, '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, 5], 'level_radical': 30, 'mf_dim': 2016, 'mf_new_dim': 96, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 1296, 'trace_bound': 7, 'trace_display': [0, 0, 0, -60], 'traces': [96, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -1200, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, -1680, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -1548, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 1632, 0, 0, 0, 0, 0, 1560, 0, 0, 0, 0, 0, 3036, 0, 0, 0, 0, 0, 720, 0, 0, 0, 0, 0, 5712, 0, 0, 0, 0, 0, 2676, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -7440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5484, 0, 0, 0, 0, 0, 10920, 0, 0, 0, 0, 0, 348, 0, 0, 0, 0, 0, 8040, 0, 0, 0, 0, 0, -6120, 0, 0, 0, 0, 0, -2076, 0, 0, 0, 0, 0, -7548, 0, 0, 0, 0, 0, 2208, 0, 0, 0, 0, 0, -17136, 0, 0, 0, 0, 0, -1500, 0, 0, 0, 0, 0, 6888, 0, 0, 0, 0, 0, 9432, 0, 0, 0, 0, 0, 8868, 0, 0, 0, 0, 0, -9240, 0, 0, 0, 0, 0, -1260, 0, 0, 0, 0, 0, -4776, 0, 0, 0, 0, 0, -21504, 0, 0, 0, 0, 0, -11220, 0, 0, 0, 0, 0, -3336, 0, 0, 0, 0, 0, 9360, 0, 0, 0, 0, 0, 20856, 0, 0, 0, 0, 0, 14208, 0, 0, 0, 0, 0, -28800, 0, 0, 0, 0, 0, -840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40560, 0, 0, 0, 0, 0, -27564, 0, 0, 0, 0, 0, -18960, 0, 0, 0, 0, 0, 76632, 0, 0, 0, 0, 0, 11700, 0, 0, 0, 0, 0, 46032, 0, 0, 0, 0, 0, 2352, 0, 0, 0, 0, 0, 37308, 0, 0, 0, 0, 0, -24156, 0, 0, 0, 0, 0, -6000, 0, 0, 0, 0, 0, -18168, 0, 0, 0, 0, 0, -23532, 0, 0, 0, 0, 0, 109824, 0, 0, 0, 0, 0, 39756, 0, 0, 0, 0, 0, 7920, 0, 0, 0, 0, 0, 9000, 0, 0, 0, 0, 0, -21300, 0, 0, 0, 0, 0, -19896, 0, 0, 0, 0, 0, -131280, 0, 0, 0, 0, 0, -10080, 0, 0, 0, 0, 0, -14292, 0, 0, 0, 0, 0, 79464, 0, 0, 0, 0, 0, 26448, 0, 0, 0, 0, 0, 28992, 0, 0, 0, 0, 0, 720, 0, 0, 0, 0, 0, -25260, 0, 0, 0, 0, 0, -2424, 0, 0, 0, 0, 0, -64464, 0, 0, 0, 0, 0, -37248, 0, 0, 0, 0, 0, -11340, 0, 0, 0, 0, 0, 36288, 0, 0, 0, 0, 0, 31656, 0, 0, 0, 0, 0, 27156, 0, 0, 0, 0, 0, 11688, 0, 0, 0, 0, 0, 3000, 0, 0, 0, 0, 0, -67332, 0, 0, 0, 0, 0, -96936, 0, 0, 0, 0, 0, -92160, 0, 0, 0, 0, 0, 1920, 0, 0, 0, 0, 0, 13320, 0, 0, 0, 0, 0, 15792, 0, 0, 0, 0, 0, 116280, 0, 0, 0, 0, 0, -117888, 0, 0, 0, 0, 0, 18492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -41640, 0, 0, 0, 0, 0, 8616, 0, 0, 0, 0, 0, 38220, 0, 0, 0, 0, 0, 119976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34608, 0, 0, 0, 0, 0, -100104, 0, 0, 0, 0, 0, -18504, 0, 0, 0, 0, 0, -6672, 0, 0, 0, 0, 0, -3600, 0, 0, 0, 0, 0, -24108, 0, 0, 0, 0, 0, -95100, 0, 0, 0, 0, 0, 82560, 0, 0, 0, 0, 0, 58224, 0, 0, 0, 0, 0, -30000, 0, 0, 0, 0, 0, 96672, 0, 0, 0, 0, 0, 58644, 0, 0, 0, 0, 0, 4512, 0, 0, 0, 0, 0, 128448, 0, 0, 0, 0, 0, -13680, 0, 0, 0, 0, 0, -49452, 0, 0, 0, 0, 0, 129024, 0, 0, 0, 0, 0, 13044, 0, 0, 0, 0, 0, -3504, 0, 0, 0, 0, 0, 27360, 0, 0, 0, 0, 0, 27768, 0, 0, 0, 0, 0, -123768, 0, 0, 0, 0, 0, -117840, 0, 0, 0, 0, 0, -7548, 0, 0, 0, 0, 0, 46080, 0, 0, 0, 0, 0, -76728, 0, 0, 0, 0, 0, 110028, 0, 0, 0, 0, 0, -4596, 0, 0, 0, 0, 0, 1776, 0, 0, 0, 0, 0, 21060, 0, 0, 0, 0, 0, 87132, 0, 0, 0, 0, 0, 57360, 0, 0, 0, 0, 0, -53976, 0, 0, 0, 0, 0, -24504, 0, 0, 0, 0, 0, -15000, 0, 0, 0, 0, 0, -68040, 0, 0, 0, 0, 0, 42672, 0, 0, 0, 0, 0, -33672, 0, 0, 0, 0, 0, -38844, 0, 0, 0, 0, 0, 48960, 0, 0, 0, 0, 0, 82416, 0, 0, 0, 0, 0, -102576, 0, 0, 0, 0, 0, -23820, 0, 0, 0, 0, 0, -198168, 0, 0, 0, 0, 0, -8640, 0, 0, 0, 0, 0, 25404, 0, 0, 0, 0, 0, 193800, 0, 0, 0, 0, 0, 83424, 0, 0, 0, 0, 0, 21432, 0, 0, 0, 0, 0, -17280, 0, 0, 0, 0, 0, 143880, 0, 0, 0, 0, 0, 110496, 0, 0, 0, 0, 0, 19488, 0, 0, 0, 0, 0, -97680, 0, 0, 0, 0, 0, -54540, 0, 0, 0, 0, 0, -274608, 0, 0, 0, 0, 0, -284136, 0, 0, 0, 0, 0, -28800, 0, 0, 0, 0, 0, -327624, 0, 0, 0, 0, 0, 21000, 0, 0, 0, 0, 0, 18864, 0, 0, 0, 0, 0, -458088, 0, 0, 0, 0, 0, -42552, 0, 0, 0, 0, 0, -49404, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 126468, 0, 0, 0, 0, 0, 107580, 0, 0, 0, 0, 0, 573576, 0, 0, 0, 0, 0, 70200, 0, 0, 0, 0, 0, -28080, 0, 0, 0, 0, 0, 59304, 0, 0, 0, 0, 0, -129516, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45860072
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1081, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147587147348, 'target_is_minimal': False, 'target_label': '1620.4.i.g.1081.1', 'target_level': 1620, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 45860073
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1081, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549822924372, 'target_is_minimal': False, 'target_label': '1620.4.i.a.1081.1', 'target_level': 1620, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45860074
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549822924372, 'target_is_minimal': False, 'target_label': '1620.4.i.a.541.1', 'target_level': 1620, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45860075
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321850036, 'target_is_minimal': False, 'target_label': '180.4.a.c.1.1', 'target_level': 180, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 45860076
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479420, 'target_is_minimal': True, 'target_label': '60.4.a.b.1.1', 'target_level': 60, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 45860077
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147587147348, 'target_is_minimal': False, 'target_label': '1620.4.i.g.541.1', 'target_level': 1620, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 45860078
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713443568, 'target_is_minimal': False, 'target_label': '240.4.a.j.1.1', 'target_level': 240, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 45860079
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321850576, 'target_is_minimal': False, 'target_label': '720.4.a.c.1.1', 'target_level': 720, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 4}
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id: 45860080
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694480260, 'target_is_minimal': False, 'target_label': '900.4.a.b.1.1', 'target_level': 900, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 45860081
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805852910468, 'target_is_minimal': False, 'target_label': '900.4.d.b.649.1', 'target_level': 900, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 45860082
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576591148, 'target_is_minimal': False, 'target_label': '300.4.a.e.1.1', 'target_level': 300, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 45860083
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805852910468, 'target_is_minimal': False, 'target_label': '900.4.d.b.649.2', 'target_level': 900, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 4}
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id: 45860084
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005107650860, 'target_is_minimal': False, 'target_label': '300.4.d.d.49.1', 'target_level': 300, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 45860085
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005107650860, 'target_is_minimal': False, 'target_label': '300.4.d.d.49.2', 'target_level': 300, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 45860086
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597190006113216, 'target_is_minimal': False, 'target_label': '960.4.a.bb.1.1', 'target_level': 960, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '72.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 45860087
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109824, 'target_is_minimal': False, 'target_label': '960.4.a.a.1.1', 'target_level': 960, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '72.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 45860088
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742173975728, 'target_is_minimal': False, 'target_label': '1200.4.f.e.49.2', 'target_level': 1200, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '180.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 45860089
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793359778992, 'target_is_minimal': False, 'target_label': '1200.4.a.s.1.1', 'target_level': 1200, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '180.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 45860090
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147587147348, 'source_is_minimal': False, 'source_label': '1620.4.i.g.1081.1', 'source_level': 1620, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742173975728, 'target_is_minimal': False, 'target_label': '1200.4.f.e.49.1', 'target_level': 1200, 'twist_class_label': '60.4.a.b.1.1', 'twist_class_level': 60, 'twisting_char_label': '180.167', 'twisting_conrey_index': 167, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 2082250
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27022147587147348, 'p': 2}
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id: 2082251
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27022147587147348, 'p': 3}
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id: 2082252
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 5}
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id: 2082253
{'charpoly_factorization': [[[1024, 32, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 7}
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id: 2082254
{'charpoly_factorization': [[[1296, -36, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 11}
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id: 2082255
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 13}
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id: 2082256
{'charpoly_factorization': [[[-78, 1], 2]], 'hecke_orbit_code': 27022147587147348, 'p': 17}
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id: 2082257
{'charpoly_factorization': [[[-140, 1], 2]], 'hecke_orbit_code': 27022147587147348, 'p': 19}
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id: 2082258
{'charpoly_factorization': [[[36864, 192, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 23}
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id: 2082259
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 29}
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id: 2082260
{'charpoly_factorization': [[[256, -16, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 31}
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id: 2082261
{'charpoly_factorization': [[[34, 1], 2]], 'hecke_orbit_code': 27022147587147348, 'p': 37}
-
id: 2082262
{'charpoly_factorization': [[[152100, 390, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 41}
-
id: 2082263
{'charpoly_factorization': [[[2704, -52, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 43}
-
id: 2082264
{'charpoly_factorization': [[[166464, -408, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 47}
-
id: 2082265
{'charpoly_factorization': [[[-114, 1], 2]], 'hecke_orbit_code': 27022147587147348, 'p': 53}
-
id: 2082266
{'charpoly_factorization': [[[266256, -516, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 59}
-
id: 2082267
{'charpoly_factorization': [[[3364, -58, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 61}
-
id: 2082268
{'charpoly_factorization': [[[795664, -892, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 67}
-
id: 2082269
{'charpoly_factorization': [[[-120, 1], 2]], 'hecke_orbit_code': 27022147587147348, 'p': 71}
-
id: 2082270
{'charpoly_factorization': [[[646, 1], 2]], 'hecke_orbit_code': 27022147587147348, 'p': 73}
-
id: 2082271
{'charpoly_factorization': [[[1364224, -1168, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 79}
-
id: 2082272
{'charpoly_factorization': [[[535824, 732, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 83}
-
id: 2082273
{'charpoly_factorization': [[[-1590, 1], 2]], 'hecke_orbit_code': 27022147587147348, 'p': 89}
-
id: 2082274
{'charpoly_factorization': [[[37636, 194, 1], 1]], 'hecke_orbit_code': 27022147587147348, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 7, 'label': '1620.4.i.g', 'level': 1620, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 47527447
{'hecke_orbit_code': 27022147587147348, 'n': 1, 'trace_an': 2}
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id: 47527448
{'hecke_orbit_code': 27022147587147348, 'n': 2, 'trace_an': 0}
-
id: 47527449
{'hecke_orbit_code': 27022147587147348, 'n': 3, 'trace_an': 0}
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id: 47527450
{'hecke_orbit_code': 27022147587147348, 'n': 4, 'trace_an': 0}
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id: 47527451
{'hecke_orbit_code': 27022147587147348, 'n': 5, 'trace_an': 5}
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id: 47527452
{'hecke_orbit_code': 27022147587147348, 'n': 6, 'trace_an': 0}
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id: 47527453
{'hecke_orbit_code': 27022147587147348, 'n': 7, 'trace_an': -32}
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id: 47527454
{'hecke_orbit_code': 27022147587147348, 'n': 8, 'trace_an': 0}
-
id: 47527455
{'hecke_orbit_code': 27022147587147348, 'n': 9, 'trace_an': 0}
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id: 47527456
{'hecke_orbit_code': 27022147587147348, 'n': 10, 'trace_an': 0}
-
id: 47527457
{'hecke_orbit_code': 27022147587147348, 'n': 11, 'trace_an': 36}
-
id: 47527458
{'hecke_orbit_code': 27022147587147348, 'n': 12, 'trace_an': 0}
-
id: 47527459
{'hecke_orbit_code': 27022147587147348, 'n': 13, 'trace_an': 10}
-
id: 47527460
{'hecke_orbit_code': 27022147587147348, 'n': 14, 'trace_an': 0}
-
id: 47527461
{'hecke_orbit_code': 27022147587147348, 'n': 15, 'trace_an': 0}
-
id: 47527462
{'hecke_orbit_code': 27022147587147348, 'n': 16, 'trace_an': 0}
-
id: 47527463
{'hecke_orbit_code': 27022147587147348, 'n': 17, 'trace_an': 156}
-
id: 47527464
{'hecke_orbit_code': 27022147587147348, 'n': 18, 'trace_an': 0}
-
id: 47527465
{'hecke_orbit_code': 27022147587147348, 'n': 19, 'trace_an': 280}
-
id: 47527466
{'hecke_orbit_code': 27022147587147348, 'n': 20, 'trace_an': 0}
-
id: 47527467
{'hecke_orbit_code': 27022147587147348, 'n': 21, 'trace_an': 0}
-
id: 47527468
{'hecke_orbit_code': 27022147587147348, 'n': 22, 'trace_an': 0}
-
id: 47527469
{'hecke_orbit_code': 27022147587147348, 'n': 23, 'trace_an': -192}
-
id: 47527470
{'hecke_orbit_code': 27022147587147348, 'n': 24, 'trace_an': 0}
-
id: 47527471
{'hecke_orbit_code': 27022147587147348, 'n': 25, 'trace_an': -25}
-
id: 47527472
{'hecke_orbit_code': 27022147587147348, 'n': 26, 'trace_an': 0}
-
id: 47527473
{'hecke_orbit_code': 27022147587147348, 'n': 27, 'trace_an': 0}
-
id: 47527474
{'hecke_orbit_code': 27022147587147348, 'n': 28, 'trace_an': 0}
-
id: 47527475
{'hecke_orbit_code': 27022147587147348, 'n': 29, 'trace_an': 6}
-
id: 47527476
{'hecke_orbit_code': 27022147587147348, 'n': 30, 'trace_an': 0}
-
id: 47527477
{'hecke_orbit_code': 27022147587147348, 'n': 31, 'trace_an': 16}
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