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{'Nk2': 24200, 'analytic_conductor': 48.30949322287463, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [11, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6050, 1, [727, 2301], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 35136, 'field_disc_factorization': [[2, 6], [3, 2], [61, 1]], 'field_poly': [9, 6, -8, -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, [6, 12, -8, -2, 1]], [7, [9, 6, -8, -2, 1]], [13, [6, 12, -20, -2, 1]], [17, [36, 48, -20, -4, 1]], [19, [-552, -72, 64, 16, 1]]], 'hecke_orbit': 83, 'hecke_orbit_code': 369295169477941154, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6050.2.a.de', 'level': 6050, '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, 5, 11], 'level_radical': 110, 'minimal_twist': '6050.2.a.db', 'nf_label': '4.4.35136.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+(\\beta _{1}-\\beta _{2})q^{3}+q^{4}+(-\\beta _{1}+\\beta _{2}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6050.2.a', 'trace_display': [-4, 2, 0, 2], 'trace_hash': 1986242046158910461, 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mf_hecke_nf • Show schema
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'hecke_orbit_code': 369295169477941154, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [5, 1, 0, 1], [7, 7, 3, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, -5, -2, 1], [-5, -1, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '6050.2.a.de', 'level': 6050, 'maxp': 2999, 'weight': 2}
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{'ALdims': [18, 24, 23, 22, 24, 16, 19, 27], 'Nk2': 24200, 'analytic_conductor': 48.30949322287463, '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': [6050, 1, [727, 2301], [1, 1]], 'conrey_index': 1, 'cusp_dim': 919, 'dim': 173, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13, 17, 19], 'hecke_orbit_code': 33560482, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '6050.2.a', 'level': 6050, '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, 5, 11], 'level_radical': 110, 'mf_dim': 1062, 'mf_new_dim': 173, 'num_forms': 92, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 173, 'sturm_bound': 1980, 'trace_bound': 19, 'trace_display': [-1, 2, 0, 8], 'traces': [173, -1, 2, 173, 0, -2, 8, -1, 177, 0, 0, 2, 2, -4, 0, 173, -10, -13, 18, 0, -4, 0, -12, -2, 0, 0, -16, 8, -2, 0, 12, -1, 0, 0, 0, 177, 16, 2, 24, 0, 0, 4, 12, 0, 0, 12, 0, 2, 189, 0, -18, 2, 12, -2, 0, -4, 0, -4, -38, 0, 26, 8, 8, 173, 0, 0, 50, -10, -52, 0, -36, -13, -2, 18, 0, 18, 0, 0, 28, 0, 173, -6, -12, -4, 0, -18, -32, 0, -52, 0, 120, -12, 52, 16, 0, -2, 50, -25, 0, 0, 10, 16, 60, 0, 0, 26, -28, -16, 34, 0, 60, 8, 6, -6, 0, -2, 26, -4, -8, 0, 0, -38, 64, 12, 0, 28, -8, -1, 80, 0, -44, 0, 44, 26, 0, 0, -24, 48, -54, 0, 8, -8, 0, 177, 0, -10, 90, 16, 6, 0, -12, 2, 14, 0, 0, 24, -50, 48, -12, 0, -16, -25, 78, 0, 0, -44, 0, 4, 229, 0, 64, 12, 26, 52, 0, 0, 40, -42, -40, 0, 132, -32, 16, 12, 0, -20, 0, 0, 68, 0, 16, 2, 6, -10, 0, 189, -30, 0, -16, 0, 34, -90, 16, -18, 0, 24, 8, 2, 0, 0, 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-72, 0, 52, -110, 48, -164, 0, -26, 12, 88, 0, 0, 14, -272, 40, -86, 0, 80, -42, -136, 36, 0, -40, 32, -12, 12, 0, -24, -45, 32, 132, 0, 0, -260, -32, -117, 0, -72, 16, 74, -144, 0, 12, 0, 82, 36, 0, 44, -208, -48, -20, 0, -62, 36, 0, 32, 0, -280, 0, -320, -44, 0, 68, -160, -100, 0, 0, -40, -228, 48, 16, 0, -92, 72, 2, -104, 0, 102, 6, -14, -334, 0, -10, -176, -54, 58, 0, 0, 12, 64, 189, 0, -96, 60, -30, 36, 0, 36, 0, 40, 198, 0, -16, 46, 64, -120, 0, -282, -34, 0, 34, 0, -72, -208, -90, 102, 0, -36, 16, 64, 0, 0, -18, 264, 168, 432, 0, -254, 48, 164, 24, 0, -388, 20, 8, 156, 0, -72, 2, 70, 42, 0, 0, 208, 12, -344, 0, 181, 10, 48, 22, 0, -8, 0, 12, -230, 0, 136, -72, -30, 136, 0, -32, 14, 0, 236, 0, -480, 24, 20, -2, 0, -4, 108, -32, 0, 0, -272, 12, 202, -96, 0, -46, 10, 32, -292, 0, -266, 11, 14, -110, 0, -54, 80, 32, 144, 0, 0, 60, -112, -328, 0, -4, -96, -18, -176, 0, -16, 0, 140, 0, 0, 4, 214, 4, -266, 0, -116, 0, 0, 136, 0, 24, -156, 130, -116, 0, -50, -256, -48, 0, 0, 112, 256, -4, -310, 0, 250, 6, -308, 4, 0, 60, 22, -36, 196, 0, -106, 32, -216, -38, 0, 0, 66, -32, 536, 0, -344, -48, 54, 78, 0, -96, 0, 32, 84, 0, 277, -98, -124, 40, 0, -72, 32, 0, 320, 0, 342, 44, 216, 148, 0, 26, 72, 16, 0, 0, -66, -294, -208, 48, 0, 180, 48, 36, 256, 0, 152, 8, 30, 56, 0, -86, -78, 52, 464, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1286992
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 83, 'source_is_minimal': True, 'source_label': '6050.2.a.de', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 80, 'target_is_minimal': True, 'target_label': '6050.2.a.db', 'target_level': 6050, 'twist_class_label': '6050.2.a.db', 'twist_class_level': 6050, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1286993
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 83, 'source_is_minimal': True, 'source_label': '6050.2.a.de', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 83, 'target_is_minimal': True, 'target_label': '6050.2.a.de', 'target_level': 6050, 'twist_class_label': '6050.2.a.db', 'twist_class_level': 6050, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1286994
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 83, 'source_is_minimal': True, 'source_label': '6050.2.a.de', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 88, 'target_is_minimal': True, 'target_label': '6050.2.a.dj', 'target_level': 6050, 'twist_class_label': '6050.2.a.db', 'twist_class_level': 6050, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1286995
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 83, 'source_is_minimal': True, 'source_label': '6050.2.a.de', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 91, 'target_is_minimal': True, 'target_label': '6050.2.a.dm', 'target_level': 6050, 'twist_class_label': '6050.2.a.db', 'twist_class_level': 6050, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4076650
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 369295169477941154, 'p': 2}
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id: 4076651
{'charpoly_factorization': [[[6, 12, -8, -2, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 3}
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id: 4076652
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 369295169477941154, 'p': 5}
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id: 4076653
{'charpoly_factorization': [[[9, 6, -8, -2, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 7}
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id: 4076654
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 369295169477941154, 'p': 11}
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id: 4076655
{'charpoly_factorization': [[[6, 12, -20, -2, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 13}
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id: 4076656
{'charpoly_factorization': [[[36, 48, -20, -4, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 17}
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id: 4076657
{'charpoly_factorization': [[[-552, -72, 64, 16, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 19}
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id: 4076658
{'charpoly_factorization': [[[9, 30, -44, 2, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 23}
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id: 4076659
{'charpoly_factorization': [[[-594, -432, -80, 2, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 29}
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id: 4076660
{'charpoly_factorization': [[[-1103, -582, -68, 6, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 31}
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id: 4076661
{'charpoly_factorization': [[[96, 96, -32, -4, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 37}
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id: 4076662
{'charpoly_factorization': [[[-963, -456, -38, 8, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 41}
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id: 4076663
{'charpoly_factorization': [[[150, 420, -8, -14, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 43}
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id: 4076664
{'charpoly_factorization': [[[8829, -918, -216, 6, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 47}
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id: 4076665
{'charpoly_factorization': [[[-72, 120, -56, 4, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 53}
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id: 4076666
{'charpoly_factorization': [[[-2376, -936, -48, 12, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 59}
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id: 4076667
{'charpoly_factorization': [[[-4314, 696, 352, 34, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 61}
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id: 4076668
{'charpoly_factorization': [[[-1448, -504, -8, 12, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 67}
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id: 4076669
{'charpoly_factorization': [[[-108, 288, -192, 0, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 71}
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id: 4076670
{'charpoly_factorization': [[[33, 12, 1], 2]], 'hecke_orbit_code': 369295169477941154, 'p': 73}
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id: 4076671
{'charpoly_factorization': [[[-48, 144, 112, 20, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 79}
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id: 4076672
{'charpoly_factorization': [[[-288, -96, 112, -20, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 83}
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id: 4076673
{'charpoly_factorization': [[[-99, -24, 58, 16, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 89}
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id: 4076674
{'charpoly_factorization': [[[28429, 456, -374, 0, 1], 1]], 'hecke_orbit_code': 369295169477941154, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 83, 'label': '6050.2.a.de', 'level': 6050, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72484303
{'hecke_orbit_code': 369295169477941154, 'n': 1, 'trace_an': 4}
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id: 72484304
{'hecke_orbit_code': 369295169477941154, 'n': 2, 'trace_an': -4}
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id: 72484305
{'hecke_orbit_code': 369295169477941154, 'n': 3, 'trace_an': 2}
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id: 72484306
{'hecke_orbit_code': 369295169477941154, 'n': 4, 'trace_an': 4}
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id: 72484307
{'hecke_orbit_code': 369295169477941154, 'n': 5, 'trace_an': 0}
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id: 72484308
{'hecke_orbit_code': 369295169477941154, 'n': 6, 'trace_an': -2}
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id: 72484309
{'hecke_orbit_code': 369295169477941154, 'n': 7, 'trace_an': 2}
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id: 72484310
{'hecke_orbit_code': 369295169477941154, 'n': 8, 'trace_an': -4}
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id: 72484311
{'hecke_orbit_code': 369295169477941154, 'n': 9, 'trace_an': 8}
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id: 72484312
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