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{'Nk2': 4864, 'analytic_conductor': 9.709808885787695, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [19, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1216, 1, [191, 837, 705], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 15317, 'field_disc_factorization': [[17, 2], [53, 1]], 'field_poly': [2, 5, -4, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4, -1, 1]], [5, [32, -24, -18, 1, 1]], [7, [4, -19, -17, -1, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463077056, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1216.2.a.x', 'level': 1216, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '608.2.a.i', 'nf_label': '4.4.15317.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{2})q^{3}+(-\\beta _{1}+\\beta _{2})q^{5}-\\beta _{3}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1216.2.a', 'trace_display': [0, 2, -1, 1], 'trace_hash': 1103479867422366707, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.092', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.768', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.440', 'prec': 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [19, -1]], 7, 6], [[[2, 1], [19, -1]], 11, 6], [[[2, 1], [19, 1]], 8, 5], [[[2, -1], [19, 1]], 10, 7]], 'ALdims': [8, 11, 10, 7], 'Nk2': 4864, 'analytic_conductor': 9.709808885787695, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1216, 1, [191, 837, 705], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 149, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33555648, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4], 'label': '1216.2.a', 'level': 1216, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 172, 'mf_new_dim': 36, 'num_forms': 24, 'plus_dim': 15, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 320, 'trace_bound': 7, 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mf_twists_cc • Show schema
Hide schema
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id: 48478134
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463077056, 'source_is_minimal': False, 'source_label': '1216.2.a.x.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463077056, 'target_is_minimal': False, 'target_label': '1216.2.a.x.1.1', 'target_level': 1216, 'twist_class_label': '608.2.a.i.1.4', 'twist_class_level': 608, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48478135
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463077056, 'source_is_minimal': False, 'source_label': '1216.2.a.x.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079191835706560, 'target_is_minimal': False, 'target_label': '1216.2.a.w.1.3', 'target_level': 1216, 'twist_class_label': '608.2.a.i.1.4', 'twist_class_level': 608, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48478136
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463077056, 'source_is_minimal': False, 'source_label': '1216.2.a.x.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679889504, 'target_is_minimal': True, 'target_label': '608.2.a.j.1.2', 'target_level': 608, 'twist_class_label': '608.2.a.i.1.4', 'twist_class_level': 608, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48478137
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463077056, 'source_is_minimal': False, 'source_label': '1216.2.a.x.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36028797052519008, 'target_is_minimal': True, 'target_label': '608.2.a.i.1.4', 'target_level': 608, 'twist_class_label': '608.2.a.i.1.4', 'twist_class_level': 608, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48478138
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463077056, 'source_is_minimal': False, 'source_label': '1216.2.a.x.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 202661983265232224, 'target_is_minimal': False, 'target_label': '5472.2.a.bt.1.1', 'target_level': 5472, 'twist_class_label': '608.2.a.i.1.4', 'twist_class_level': 608, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48478139
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463077056, 'source_is_minimal': False, 'source_label': '1216.2.a.x.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 198158383637861728, 'target_is_minimal': False, 'target_label': '5472.2.a.bs.1.1', 'target_level': 5472, 'twist_class_label': '608.2.a.i.1.4', 'twist_class_level': 608, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1774525
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 103582791463077056, 'p': 2}
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id: 1774526
{'charpoly_factorization': [[[-4, -1, 1], 2]], 'hecke_orbit_code': 103582791463077056, 'p': 3}
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id: 1774527
{'charpoly_factorization': [[[32, -24, -18, 1, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 5}
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id: 1774528
{'charpoly_factorization': [[[4, -19, -17, -1, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 7}
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id: 1774529
{'charpoly_factorization': [[[16, 28, 0, -7, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 11}
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id: 1774530
{'charpoly_factorization': [[[-344, -158, 7, 10, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 13}
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id: 1774531
{'charpoly_factorization': [[[698, 141, -51, -5, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 17}
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id: 1774532
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 103582791463077056, 'p': 19}
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id: 1774533
{'charpoly_factorization': [[[64, 132, -17, -8, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 23}
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id: 1774534
{'charpoly_factorization': [[[-344, -158, 7, 10, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 29}
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id: 1774535
{'charpoly_factorization': [[[-512, 416, -56, -6, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 31}
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id: 1774536
{'charpoly_factorization': [[[-1504, -536, 4, 14, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 37}
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id: 1774537
{'charpoly_factorization': [[[512, -192, -72, 2, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 41}
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id: 1774538
{'charpoly_factorization': [[[-64, 96, -32, -3, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 43}
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id: 1774539
{'charpoly_factorization': [[[-64, 176, -108, -3, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 47}
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id: 1774540
{'charpoly_factorization': [[[-508, -384, -69, 4, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 53}
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id: 1774541
{'charpoly_factorization': [[[-152, 150, 85, -20, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 59}
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id: 1774542
{'charpoly_factorization': [[[344, 28, -66, -3, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 61}
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id: 1774543
{'charpoly_factorization': [[[-824, 602, -75, -8, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 67}
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id: 1774544
{'charpoly_factorization': [[[-2432, -424, 268, -30, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 71}
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id: 1774545
{'charpoly_factorization': [[[2, 309, -47, -9, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 73}
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id: 1774546
{'charpoly_factorization': [[[-3136, -1288, -100, 10, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 79}
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id: 1774547
{'charpoly_factorization': [[[-1024, 784, -116, -4, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 83}
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id: 1774548
{'charpoly_factorization': [[[-15296, -4048, -204, 16, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 89}
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id: 1774549
{'charpoly_factorization': [[[608, -88, -60, 6, 1], 1]], 'hecke_orbit_code': 103582791463077056, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '1216.2.a.x', 'level': 1216, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255115000
{'hecke_orbit_code': 103582791463077056, 'n': 1, 'trace_an': 4}
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id: 255115001
{'hecke_orbit_code': 103582791463077056, 'n': 2, 'trace_an': 0}
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id: 255115002
{'hecke_orbit_code': 103582791463077056, 'n': 3, 'trace_an': 2}
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id: 255115003
{'hecke_orbit_code': 103582791463077056, 'n': 4, 'trace_an': 0}
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id: 255115004
{'hecke_orbit_code': 103582791463077056, 'n': 5, 'trace_an': -1}
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id: 255115005
{'hecke_orbit_code': 103582791463077056, 'n': 6, 'trace_an': 0}
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id: 255115006
{'hecke_orbit_code': 103582791463077056, 'n': 7, 'trace_an': 1}
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id: 255115007
{'hecke_orbit_code': 103582791463077056, 'n': 8, 'trace_an': 0}
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id: 255115008
{'hecke_orbit_code': 103582791463077056, 'n': 9, 'trace_an': 6}
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id: 255115009
{'hecke_orbit_code': 103582791463077056, 'n': 10, 'trace_an': 0}
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id: 255115010
{'hecke_orbit_code': 103582791463077056, 'n': 11, 'trace_an': 7}
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id: 255115011
{'hecke_orbit_code': 103582791463077056, 'n': 12, 'trace_an': 0}
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id: 255115012
{'hecke_orbit_code': 103582791463077056, 'n': 13, 'trace_an': -10}
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id: 255115013
{'hecke_orbit_code': 103582791463077056, 'n': 14, 'trace_an': 0}
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id: 255115014
{'hecke_orbit_code': 103582791463077056, 'n': 15, 'trace_an': 8}
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id: 255115015
{'hecke_orbit_code': 103582791463077056, 'n': 16, 'trace_an': 0}
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id: 255115016
{'hecke_orbit_code': 103582791463077056, 'n': 17, 'trace_an': 5}
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id: 255115017
{'hecke_orbit_code': 103582791463077056, 'n': 18, 'trace_an': 0}
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id: 255115018
{'hecke_orbit_code': 103582791463077056, 'n': 19, 'trace_an': 4}
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id: 255115019
{'hecke_orbit_code': 103582791463077056, 'n': 20, 'trace_an': 0}
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id: 255115020
{'hecke_orbit_code': 103582791463077056, 'n': 21, 'trace_an': -8}
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id: 255115021
{'hecke_orbit_code': 103582791463077056, 'n': 22, 'trace_an': 0}
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id: 255115022
{'hecke_orbit_code': 103582791463077056, 'n': 23, 'trace_an': 8}
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id: 255115023
{'hecke_orbit_code': 103582791463077056, 'n': 24, 'trace_an': 0}
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id: 255115024
{'hecke_orbit_code': 103582791463077056, 'n': 25, 'trace_an': 17}
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id: 255115025
{'hecke_orbit_code': 103582791463077056, 'n': 26, 'trace_an': 0}
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id: 255115026
{'hecke_orbit_code': 103582791463077056, 'n': 27, 'trace_an': 14}
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id: 255115027
{'hecke_orbit_code': 103582791463077056, 'n': 28, 'trace_an': 0}
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id: 255115028
{'hecke_orbit_code': 103582791463077056, 'n': 29, 'trace_an': -10}
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id: 255115029
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