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{'Nk2': 13376, 'analytic_conductor': 26.70197443591616, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [11, 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': [3344, 1, [2927, 837, 2433, 705], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 4068959616, 'field_disc_factorization': [[2, 7], [3, 3], [61, 1], [19301, 1]], 'field_poly': [27, -60, 16, 28, -12, -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, [27, -60, 16, 28, -12, -2, 1]], [5, [-543, 48, 228, -6, -28, 0, 1]], [7, [-1738, 760, 547, -78, -43, 2, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463079184, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3344.2.a.x', 'level': 3344, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'minimal_twist': '836.2.a.d', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}-\\beta _{5}q^{5}-\\beta _{4}q^{7}+(2+\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3344.2.a', 'trace_display': [0, 2, 0, -2], 'trace_hash': 76908104013553674, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.064', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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12, 12], [16, 16, -10, 2, 2, -6], [30, -20, -2, -4, -6, -18], [-31, 12, 5, -6, -9, 6], [-2, 8, 5, -5, 14, -5], [22, -4, -6, -2, -8, -8], [-16, 6, 9, 0, 4, 9], [0, -20, -1, 2, -2, -2]], 'char_orbit_index': 1, 'field_poly': [27, -60, 16, 28, -12, -2, 1], 'hecke_orbit_code': 103582791463079184, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 3, 3, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [5, 0, 1, 0, 0, 0], [-3, 7, 0, -1, 1, -1], [38, -2, 10, 2, 0, 1], [-46, 58, -5, -11, 12, -13]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-5, 0, 1, 0, 0, 0], [-3, 28, -5, -12, 1, 1], [48, -43, -25, 15, 2, -1], [42, -50, -20, 24, 1, -2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '3344.2.a.x', 'level': 3344, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[2, 1], [11, 1], [19, -1]], 15, 2], [[[2, -1], [11, -1], [19, -1]], 14, 4], [[[2, 1], [11, -1], [19, -1]], 7, 4], [[[2, 1], [11, -1], [19, 1]], 12, 3], [[[2, -1], [11, 1], [19, 1]], 14, 7], [[[2, 1], [11, 1], [19, 1]], 10, 2], [[[2, -1], [11, 1], [19, -1]], 9, 3], [[[2, -1], [11, -1], [19, 1]], 9, 3]], 'ALdims': [10, 15, 12, 7, 14, 9, 9, 14], 'Nk2': 13376, 'analytic_conductor': 26.70197443591616, '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': [3344, 1, [2927, 837, 2433, 705], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 469, 'dim': 90, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33557776, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 9], 'label': '3344.2.a', 'level': 3344, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'mf_dim': 492, 'mf_new_dim': 90, 'num_forms': 28, 'plus_dim': 35, 'prim_orbit_index': 1, 'relative_dim': 90, 'sturm_bound': 960, 'trace_bound': 7, 'trace_display': [0, 0, 4, 0], 'traces': [90, 0, 0, 0, 4, 0, 0, 0, 90, 0, -6, 0, 4, 0, -12, 0, -4, 0, 0, 0, 16, 0, 12, 0, 86, 0, 12, 0, 20, 0, 0, 0, 0, 0, 0, 0, 20, 0, 24, 0, -4, 0, 0, 0, 36, 0, 8, 0, 90, 0, 40, 0, 4, 0, 8, 0, 0, 0, 40, 0, 20, 0, 40, 0, -24, 0, 0, 0, 16, 0, 16, 0, -20, 0, -12, 0, 0, 0, 0, 0, 74, 0, 40, 0, 24, 0, 24, 0, -36, 0, 16, 0, -48, 0, 0, 0, -4, 0, -18, 0, -12, 0, -36, 0, 32, 0, 0, 0, 20, 0, 60, 0, 28, 0, 4, 0, -28, 0, 8, 0, 90, 0, 104, 0, 24, 0, 64, 0, 32, 0, -48, 0, 0, 0, 44, 0, -4, 0, 0, 0, -32, 0, 0, 0, -40, 0, 104, 0, 20, 0, -48, 0, 52, 0, 84, 0, 20, 0, 40, 0, 8, 0, 32, 0, 0, 0, 0, 0, 102, 0, 0, 0, -44, 0, 144, 0, 32, 0, -72, 0, 68, 0, 80, 0, 0, 0, -12, 0, -16, 0, 68, 0, 12, 0, 184, 0, -44, 0, -8, 0, -16, 0, 48, 0, 104, 0, 128, 0, 0, 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48, 0, 0, 0, 256, 0, 280, 0, 212, 0, 264, 0, -280, 0, 344, 0, -172, 0, -328, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1085672
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '3344.2.a.x', 'source_level': 3344, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '836.2.a.d', 'target_level': 836, 'twist_class_label': '836.2.a.d', 'twist_class_level': 836, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1085673
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '3344.2.a.x', 'source_level': 3344, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '3344.2.a.x', 'target_level': 3344, 'twist_class_label': '836.2.a.d', 'twist_class_level': 836, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1085674
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '3344.2.a.x', 'source_level': 3344, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '7524.2.a.r', 'target_level': 7524, 'twist_class_label': '836.2.a.d', 'twist_class_level': 836, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1085675
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '3344.2.a.x', 'source_level': 3344, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '9196.2.a.k', 'target_level': 9196, 'twist_class_label': '836.2.a.d', 'twist_class_level': 836, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3133600
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 103582791463079184, 'p': 2}
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id: 3133601
{'charpoly_factorization': [[[27, -60, 16, 28, -12, -2, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 3}
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id: 3133602
{'charpoly_factorization': [[[-543, 48, 228, -6, -28, 0, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 5}
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id: 3133603
{'charpoly_factorization': [[[-1738, 760, 547, -78, -43, 2, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 7}
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id: 3133604
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 103582791463079184, 'p': 11}
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id: 3133605
{'charpoly_factorization': [[[2462, -2404, 475, 156, -49, -2, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 13}
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id: 3133606
{'charpoly_factorization': [[[-2592, -4032, -96, 480, -18, -12, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 17}
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id: 3133607
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 103582791463079184, 'p': 19}
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id: 3133608
{'charpoly_factorization': [[[-1584, -1104, 1044, 120, -75, -2, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 23}
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id: 3133609
{'charpoly_factorization': [[[-2682, -1056, 1263, 174, -69, -4, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 29}
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id: 3133610
{'charpoly_factorization': [[[-7593, 11390, -4984, 524, 88, -20, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 31}
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id: 3133611
{'charpoly_factorization': [[[91824, -608, -10120, 1456, 67, -22, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 37}
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id: 3133612
{'charpoly_factorization': [[[24912, 22344, 4725, -444, -159, 2, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 41}
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id: 3133613
{'charpoly_factorization': [[[4900, 1900, -907, -470, -25, 10, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 43}
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id: 3133614
{'charpoly_factorization': [[[328896, 86592, -4032, -2496, -96, 16, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 47}
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id: 3133615
{'charpoly_factorization': [[[-31104, -19584, 912, 1296, -96, -12, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 53}
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id: 3133616
{'charpoly_factorization': [[[31536, -24048, 900, 1212, -81, -14, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 59}
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id: 3133617
{'charpoly_factorization': [[[109728, -124960, 10560, 2488, -214, -12, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 61}
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id: 3133618
{'charpoly_factorization': [[[253887, -110978, 5400, 2300, -184, -12, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 67}
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id: 3133619
{'charpoly_factorization': [[[2187, 2916, -1944, -324, 252, -30, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 71}
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id: 3133620
{'charpoly_factorization': [[[-217728, 177920, -49680, 5296, -52, -24, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 73}
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id: 3133621
{'charpoly_factorization': [[[428832, -231872, 32136, 1184, -370, 0, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 79}
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id: 3133622
{'charpoly_factorization': [[[-177642, -37752, 7875, 1446, -135, -14, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 83}
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id: 3133623
{'charpoly_factorization': [[[19776, -31392, 14232, -1260, -173, 14, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 89}
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id: 3133624
{'charpoly_factorization': [[[752, 29888, 22852, 6288, 791, 46, 1], 1]], 'hecke_orbit_code': 103582791463079184, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '3344.2.a.x', 'level': 3344, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255345000
{'hecke_orbit_code': 103582791463079184, 'n': 1, 'trace_an': 6}
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id: 255345001
{'hecke_orbit_code': 103582791463079184, 'n': 2, 'trace_an': 0}
-
id: 255345002
{'hecke_orbit_code': 103582791463079184, 'n': 3, 'trace_an': 2}
-
id: 255345003
{'hecke_orbit_code': 103582791463079184, 'n': 4, 'trace_an': 0}
-
id: 255345004
{'hecke_orbit_code': 103582791463079184, 'n': 5, 'trace_an': 0}
-
id: 255345005
{'hecke_orbit_code': 103582791463079184, 'n': 6, 'trace_an': 0}
-
id: 255345006
{'hecke_orbit_code': 103582791463079184, 'n': 7, 'trace_an': -2}
-
id: 255345007
{'hecke_orbit_code': 103582791463079184, 'n': 8, 'trace_an': 0}
-
id: 255345008
{'hecke_orbit_code': 103582791463079184, 'n': 9, 'trace_an': 10}
-
id: 255345009
{'hecke_orbit_code': 103582791463079184, 'n': 10, 'trace_an': 0}
-
id: 255345010
{'hecke_orbit_code': 103582791463079184, 'n': 11, 'trace_an': -6}
-
id: 255345011
{'hecke_orbit_code': 103582791463079184, 'n': 12, 'trace_an': 0}
-
id: 255345012
{'hecke_orbit_code': 103582791463079184, 'n': 13, 'trace_an': 2}
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id: 255345013
{'hecke_orbit_code': 103582791463079184, 'n': 14, 'trace_an': 0}
-
id: 255345014
{'hecke_orbit_code': 103582791463079184, 'n': 15, 'trace_an': 12}
-
id: 255345015
{'hecke_orbit_code': 103582791463079184, 'n': 16, 'trace_an': 0}
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id: 255345016
{'hecke_orbit_code': 103582791463079184, 'n': 17, 'trace_an': 12}
-
id: 255345017
{'hecke_orbit_code': 103582791463079184, 'n': 18, 'trace_an': 0}
-
id: 255345018
{'hecke_orbit_code': 103582791463079184, 'n': 19, 'trace_an': -6}
-
id: 255345019
{'hecke_orbit_code': 103582791463079184, 'n': 20, 'trace_an': 0}
-
id: 255345020
{'hecke_orbit_code': 103582791463079184, 'n': 21, 'trace_an': 2}
-
id: 255345021
{'hecke_orbit_code': 103582791463079184, 'n': 22, 'trace_an': 0}
-
id: 255345022
{'hecke_orbit_code': 103582791463079184, 'n': 23, 'trace_an': 2}
-
id: 255345023
{'hecke_orbit_code': 103582791463079184, 'n': 24, 'trace_an': 0}
-
id: 255345024
{'hecke_orbit_code': 103582791463079184, 'n': 25, 'trace_an': 26}
-
id: 255345025
{'hecke_orbit_code': 103582791463079184, 'n': 26, 'trace_an': 0}
-
id: 255345026
{'hecke_orbit_code': 103582791463079184, 'n': 27, 'trace_an': -16}
-
id: 255345027
{'hecke_orbit_code': 103582791463079184, 'n': 28, 'trace_an': 0}
-
id: 255345028
{'hecke_orbit_code': 103582791463079184, 'n': 29, 'trace_an': 4}
-
id: 255345029
{'hecke_orbit_code': 103582791463079184, 'n': 30, 'trace_an': 0}
-
id: 255345030
{'hecke_orbit_code': 103582791463079184, 'n': 31, 'trace_an': 20}
-
id: 255345031
{'hecke_orbit_code': 103582791463079184, 'n': 32, 'trace_an': 0}
-
id: 255345032
{'hecke_orbit_code': 103582791463079184, 'n': 33, 'trace_an': -2}
-
id: 255345033
{'hecke_orbit_code': 103582791463079184, 'n': 34, 'trace_an': 0}
-
id: 255345034
{'hecke_orbit_code': 103582791463079184, 'n': 35, 'trace_an': -20}
-
id: 255345035
{'hecke_orbit_code': 103582791463079184, 'n': 36, 'trace_an': 0}
-
id: 255345036
{'hecke_orbit_code': 103582791463079184, 'n': 37, 'trace_an': 22}
-
id: 255345037
{'hecke_orbit_code': 103582791463079184, 'n': 38, 'trace_an': 0}
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