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mf_newforms • Show schema
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{'Nk2': 5292, 'analytic_conductor': 10.564208187415394, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, 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': [1323, 1, [785, 1081], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 7168, 'field_disc_factorization': [[2, 10], [7, 1]], 'field_poly': [7, 0, -6, 0, 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': 1, 'hecke_cutters': [[2, [7, 0, -6, 0, 1]], [5, [7, 0, -6, 0, 1]], [13, [8, 8, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599929643, 'hecke_ring_generator_nbound': 2, '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, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1323.2.a.bc', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '1323.2.a.bc', 'nf_label': '4.4.7168.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{1}q^{5}+\\beta _{3}q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1323.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1168164427650350920, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.652', 'prec': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [12, 16, 15, 12], 'Nk2': 5292, 'analytic_conductor': 10.564208187415394, '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': [1323, 1, [785, 1081], [1, 1]], 'conrey_index': 1, 'cusp_dim': 145, 'dim': 55, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33555755, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '1323.2.a', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 192, 'mf_new_dim': 55, 'num_forms': 31, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 336, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [55, 0, 0, 54, 0, 0, 0, 0, 0, 4, 0, 0, 7, 0, 0, 32, 0, 0, -5, 0, 0, -8, 0, 0, 73, 0, 0, 0, 0, 0, -16, 0, 0, 36, 0, 0, 19, 0, 0, 48, 0, 0, -46, 0, 0, 4, 0, 0, 0, 0, 0, 18, 0, 0, -52, 0, 0, -8, 0, 0, 13, 0, 0, 56, 0, 0, -47, 0, 0, 0, 0, 0, -1, 0, 0, -54, 0, 0, -67, 0, 0, -28, 0, 0, 28, 0, 0, 12, 0, 0, 0, 0, 0, 12, 0, 0, 47, 0, 0, 110, 0, 0, -3, 0, 0, -12, 0, 0, -4, 0, 0, 0, 0, 0, -24, 0, 0, -36, 0, 0, 55, 0, 0, -88, 0, 0, -10, 0, 0, 4, 0, 0, 0, 0, 0, -24, 0, 0, 5, 0, 0, -100, 0, 0, 92, 0, 0, -14, 0, 0, 11, 0, 0, 0, 0, 0, 22, 0, 0, 104, 0, 0, -35, 0, 0, -84, 0, 0, 114, 0, 0, -164, 0, 0, 0, 0, 0, 136, 0, 0, -41, 0, 0, 28, 0, 0, -36, 0, 0, 20, 0, 0, 71, 0, 0, 0, 0, 0, 29, 0, 0, -64, 0, 0, -20, 0, 0, 60, 0, 0, -107, 0, 0, -116, 0, 0, 0, 0, 0, -8, 0, 0, 40, 0, 0, -120, 0, 0, 6, 0, 0, -100, 0, 0, -52, 0, 0, 0, 0, 0, -21, 0, 0, 6, 0, 0, -43, 0, 0, 36, 0, 0, -76, 0, 0, -148, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -62, 0, 0, -29, 0, 0, -72, 0, 0, -88, 0, 0, 0, 0, 0, -116, 0, 0, 16, 0, 0, 89, 0, 0, -22, 0, 0, -136, 0, 0, 84, 0, 0, 0, 0, 0, -156, 0, 0, -56, 0, 0, -68, 0, 0, -51, 0, 0, -94, 0, 0, -60, 0, 0, 0, 0, 0, 57, 0, 0, -24, 0, 0, 85, 0, 0, 76, 0, 0, 131, 0, 0, 80, 0, 0, 0, 0, 0, 152, 0, 0, 37, 0, 0, 112, 0, 0, 0, 0, 0, -76, 0, 0, 38, 0, 0, 0, 0, 0, 53, 0, 0, 12, 0, 0, 69, 0, 0, 24, 0, 0, -179, 0, 0, 88, 0, 0, 0, 0, 0, 2, 0, 0, 96, 0, 0, -108, 0, 0, 26, 0, 0, -28, 0, 0, 92, 0, 0, 0, 0, 0, -81, 0, 0, 142, 0, 0, 20, 0, 0, 256, 0, 0, 115, 0, 0, -84, 0, 0, 0, 0, 0, 92, 0, 0, 34, 0, 0, -84, 0, 0, 68, 0, 0, 420, 0, 0, 220, 0, 0, 0, 0, 0, 76, 0, 0, -24, 0, 0, 272, 0, 0, -312, 0, 0, 161, 0, 0, 184, 0, 0, 0, 0, 0, -24, 0, 0, -123, 0, 0, -308, 0, 0, -107, 0, 0, -34, 0, 0, 273, 0, 0, 0, 0, 0, -84, 0, 0, 80, 0, 0, -114, 0, 0, -116, 0, 0, 388, 0, 0, -184, 0, 0, 0, 0, 0, -64, 0, 0, -12, 0, 0, -188, 0, 0, 79, 0, 0, -100, 0, 0, 63, 0, 0, 0, 0, 0, 8, 0, 0, -276, 0, 0, 435, 0, 0, -120, 0, 0, 61, 0, 0, -324, 0, 0, 0, 0, 0, 38, 0, 0, 44, 0, 0, 292, 0, 0, 68, 0, 0, -200, 0, 0, 71, 0, 0, 0, 0, 0, 133, 0, 0, 88, 0, 0, 44, 0, 0, -52, 0, 0, -190, 0, 0, -196, 0, 0, 0, 0, 0, -48, 0, 0, 26, 0, 0, -406, 0, 0, 213, 0, 0, -12, 0, 0, -199, 0, 0, 0, 0, 0, -5, 0, 0, -108, 0, 0, 63, 0, 0, 276, 0, 0, -137, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -252, 0, 0, -310, 0, 0, -204, 0, 0, 0, 0, 0, 61, 0, 0, -288, 0, 0, -100, 0, 0, -80, 0, 0, 101, 0, 0, 240, 0, 0, 0, 0, 0, -24, 0, 0, -60, 0, 0, -400, 0, 0, -228, 0, 0, 80, 0, 0, 412, 0, 0, 0, 0, 0, 169, 0, 0, 28, 0, 0, -93, 0, 0, 264, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 144, 0, 0, 320, 0, 0, -250, 0, 0, 12, 0, 0, -302, 0, 0, 0, 0, 0, -12, 0, 0, 96, 0, 0, -41, 0, 0, 160, 0, 0, -389, 0, 0, 172, 0, 0, 0, 0, 0, -132, 0, 0, 57, 0, 0, 798, 0, 0, 68, 0, 0, 436, 0, 0, -192, 0, 0, 0, 0, 0, 7, 0, 0, -100, 0, 0, 3, 0, 0, 230, 0, 0, -156, 0, 0, 1044, 0, 0, 0, 0, 0, -120, 0, 0, 156, 0, 0, 652, 0, 0, 164, 0, 0, -160, 0, 0, -281, 0, 0, 0, 0, 0, 27, 0, 0, -8, 0, 0, -160, 0, 0, -156, 0, 0, 369, 0, 0, 262, 0, 0, 0, 0, 0, -96, 0, 0, -171, 0, 0, -328, 0, 0, -3, 0, 0, 656, 0, 0, 80, 0, 0, 0, 0, 0, -153, 0, 0, 456, 0, 0, -279, 0, 0, -296, 0, 0, -95, 0, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, -116, 0, 0, -120, 0, 0, 192, 0, 0, 452, 0, 0, 169, 0, 0, 0, 0, 0, -60, 0, 0, -236, 0, 0, -254, 0, 0, -220, 0, 0, 265, 0, 0, 496, 0, 0, 0, 0, 0, 264, 0, 0, 89, 0, 0, -276, 0, 0, 0, 0, 0, -52, 0, 0, -99, 0, 0, 0, 0, 0, -88, 0, 0, 140, 0, 0, 57, 0, 0, 130, 0, 0, 1, 0, 0, 64, 0, 0, 0, 0, 0, 372, 0, 0, -184, 0, 0, 504, 0, 0, -4, 0, 0, -302, 0, 0, -333, 0, 0, 0, 0, 0, -26, 0, 0, -168], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 707068
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 29, 'source_is_minimal': True, 'source_label': '1323.2.a.bc', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 29, 'target_is_minimal': True, 'target_label': '1323.2.a.bc', 'target_level': 1323, 'twist_class_label': '1323.2.a.bc', 'twist_class_level': 1323, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 707069
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 29, 'source_is_minimal': True, 'source_label': '1323.2.a.bc', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 29, 'target_is_minimal': True, 'target_label': '1323.2.a.bc', 'target_level': 1323, 'twist_class_label': '1323.2.a.bc', 'twist_class_level': 1323, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 707070
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 29, 'source_is_minimal': True, 'source_label': '1323.2.a.bc', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 30, 'target_is_minimal': True, 'target_label': '1323.2.a.bd', 'target_level': 1323, 'twist_class_label': '1323.2.a.bc', 'twist_class_level': 1323, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 707071
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 29, 'source_is_minimal': True, 'source_label': '1323.2.a.bc', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 30, 'target_is_minimal': True, 'target_label': '1323.2.a.bd', 'target_level': 1323, 'twist_class_label': '1323.2.a.bc', 'twist_class_level': 1323, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1862450
{'charpoly_factorization': [[[7, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 2}
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id: 1862451
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 126100789599929643, 'p': 3}
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id: 1862452
{'charpoly_factorization': [[[7, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 5}
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id: 1862453
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 126100789599929643, 'p': 7}
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id: 1862454
{'charpoly_factorization': [[[343, 0, -38, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 11}
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id: 1862455
{'charpoly_factorization': [[[8, 8, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 13}
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id: 1862456
{'charpoly_factorization': [[[28, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 17}
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id: 1862457
{'charpoly_factorization': [[[7, 6, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 19}
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id: 1862458
{'charpoly_factorization': [[[2023, 0, -90, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 23}
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id: 1862459
{'charpoly_factorization': [[[1792, 0, -96, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 29}
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id: 1862460
{'charpoly_factorization': [[[-7, 10, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 31}
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id: 1862461
{'charpoly_factorization': [[[-17, 2, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 37}
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id: 1862462
{'charpoly_factorization': [[[7, 0, -26, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 41}
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id: 1862463
{'charpoly_factorization': [[[-50, 0, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 43}
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id: 1862464
{'charpoly_factorization': [[[14812, 0, -244, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 47}
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id: 1862465
{'charpoly_factorization': [[[112, 0, -104, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 53}
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id: 1862466
{'charpoly_factorization': [[[28, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 59}
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id: 1862467
{'charpoly_factorization': [[[-68, 4, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 61}
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id: 1862468
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 67}
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id: 1862469
{'charpoly_factorization': [[[16807, 0, -294, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 71}
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id: 1862470
{'charpoly_factorization': [[[98, 20, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 73}
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id: 1862471
{'charpoly_factorization': [[[-82, 8, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 79}
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id: 1862472
{'charpoly_factorization': [[[112, 0, -216, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 83}
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id: 1862473
{'charpoly_factorization': [[[7, 0, -314, 0, 1], 1]], 'hecke_orbit_code': 126100789599929643, 'p': 89}
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id: 1862474
{'charpoly_factorization': [[[-16, 8, 1], 2]], 'hecke_orbit_code': 126100789599929643, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '1323.2.a.bc', 'level': 1323, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67846237
{'hecke_orbit_code': 126100789599929643, 'n': 1, 'trace_an': 4}
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id: 67846238
{'hecke_orbit_code': 126100789599929643, 'n': 2, 'trace_an': 0}
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id: 67846239
{'hecke_orbit_code': 126100789599929643, 'n': 3, 'trace_an': 0}
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id: 67846240
{'hecke_orbit_code': 126100789599929643, 'n': 4, 'trace_an': 4}
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id: 67846241
{'hecke_orbit_code': 126100789599929643, 'n': 5, 'trace_an': 0}
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id: 67846242
{'hecke_orbit_code': 126100789599929643, 'n': 6, 'trace_an': 0}
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id: 67846243
{'hecke_orbit_code': 126100789599929643, 'n': 7, 'trace_an': 0}
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id: 67846244
{'hecke_orbit_code': 126100789599929643, 'n': 8, 'trace_an': 0}
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id: 67846245
{'hecke_orbit_code': 126100789599929643, 'n': 9, 'trace_an': 0}
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id: 67846246
{'hecke_orbit_code': 126100789599929643, 'n': 10, 'trace_an': -12}
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id: 67846247
{'hecke_orbit_code': 126100789599929643, 'n': 11, 'trace_an': 0}
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