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{'Nk2': 12768, 'analytic_conductor': 25.4882483251927, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [19, -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': [3192, 1, [799, 1597, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': 0, 'hecke_cutters': [[5, [-2, 1]], [11, [6, 1]], [17, [0, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444115064, 'hecke_ring_generator_nbound': 1, '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': True, 'label': '3192.2.a.p', 'level': 3192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '3192.2.a.p', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+2q^{5}-q^{7}+q^{9}-6q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/3192/p'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3192.2.a', 'trace_display': [0, 1, 2, -1], 'trace_hash': 1061879955699410427, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.998', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.016', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [2], [0], [-1], [0], [1], [0], [-6], [0], [-2], [0], [2], [0], [0], [0], [1], [0], [-1], [0], [-4], [0], [-1], [0], [1], [0], [-6], [0], [-2], [0], [-6], [0], [-2], [0], [8], [0], [-2], [0], [2], [0], [-12], [0], [2], [0], [-2], [0], [1], [0], [0], [0], [-6], [0], [-12], [0], [1], [0], [4], [0], [2], [0], [-1], [0], [-4], [0], [-6], [0], [-4], [0], [-8], [0], [2], [0], [-1], [0], [6], [0], [-4], [0], [1], [0], [4], [0], [0], [0], [-6], [0], [-6], [0], [2], [0], [-2], [0], [2], [0], [-8], [0], [-6], [0]], 'ap': [[0], [1], [2], [-1], [-6], [-2], [0], [1], [-4], [-6], [-2], [8], [2], [-12], [-2], [-6], [4], [2], [-6], [-8], [2], [-4], [4], [-6], [-8], [10], [-6], [4], [-4], [-14], [-4], [0], [10], [20], [0], [4], [14], [8], [16], [14], [-24], [6], [-4], [6], [-8], [12], [6], [10], [-12], [6], [6], [-24], [-28], [-16], [14], [-20], [10], [-8], [-10], [18], [-12], [-22], [-4], [-6], [-6], [-26], [-2], [30], [-2], [14], [-4], [0], [32], [4], [-10], [-16], [8], [-14], [-26], [40], [-12], [36], [0], [16], [6], [2], [-2], [-26], [30], [32], [-28], [6], [40], [-30], [4], [-6], [-6], [-30], [12], [34], [-38], [0], [36], [-6], [-32], [-30], [0], [-48], [-24], [20], [22], [26], [-18], [-12], [16], [-10], [4], [22], [12], [0], [26], [-22], [22], [44], [-36], [8], [6], [-22], [-52], [-10], [52], [16], [-24], [26], [36], [10], [10], [32], [30], [38], [20], [36], [32], [16], [26], [-48], [-46], [-22], [4], [16], [-8], [-36], [-44], [36], [-34], [-48], [32], [-24], [-50], [50], [42], [-14], [0], [28], [-10], [-52], [0], [-2], [6], [-42], [44], [-42], [28], [6], [46], [-16], [44], [-36], [-30], [-30], [8], [-12], [28], [-34], [-52], [46], [-8], [36], [2], [-38], [-40], [-54], [10], [-50], [-2], [-30], [-50], [-54], [-4], [-58], [50], [46], [-30], [-8], [16], [-6], [60], [60], [-22], [-16], [-26], [26], [-16], [52], [40], [36], [40], [-70], [72], [-32], [-4], [-22], [-14], [-8], [-60], [46], [-34], [-56], [-30], [6], [-6], [40], [0], [-6], [52], [18], [-70], [-12], [46], [8], [-24], [-20], [56], [-16], [54], [-30], [-44], [-60], [-70], [-40], [2], [24], [0], [-72], [58], [-30], [-18], [32], [-2], [-34], [52], [-48], [-66], [-70], [20], [68], [10], [-72], [-58], [-8], [-42], [-70], [-62], [-72], [-52], [-32], [14], [-16], [66], [-8], [-76], [-8], [-6], [-30], [-52], [-32], [46], [-66], [44], [6], [64], [68], [18], [44], [40], [-66], [26], [-26], [36], [-44], [-42], [-70], [16], [-48], [4], [-14], [-12], [26], [-24], [22], [-54], [60], [38], [-18], [88], [20], [60], [48], [-18], [22], [-32], [-74], [2], [-56], [30], [76], [-2], [16], [64], [-12], [-78], [42], [84], [44], [-40], [-20], [-56], [-86], [-42], [52], [-4], [42], [6], [12], [-38], [0], [-70], [-62], [-24], [66], [-8], [-18], [48], [18], [76], [66], [6], [-80], [-66], [8], [42], [0], [-24], [4], [-20], [46], [-26], [4], [54], [78], [68], [88], [50], [32], [-58], [-28], [-28], [42], [20], [-20], [30], [-90], [40], [18], [60], [76], [-32], [58], [-28], [0], [-26], [-18], [-78], [4], [-40], [58], [-82], [-42], [38], [-72], [34], [-66], [-64], [78], [50], [-92], [6], [-86], [40], [84], [-20], [-72], [-68], [16], [22], [54], [0], [86], [72], [-36], [50], [-30], [-92], [28], [-56], [-18], [84], [-90], [60], [82]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 67553994444115064, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3192.2.a.p', 'level': 3192, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 3, 2], [[[2, 1], [3, 1], [7, -1], [19, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [19, 1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [19, 1]], 4, 1], [[[2, -1], [3, 1], [7, -1], [19, 1]], 3, 2], [[[2, 1], [3, -1], [7, 1], [19, 1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [19, -1]], 5, 1], [[[2, 1], [3, 1], [7, 1], [19, 1]], 4, 1], [[[2, 1], [3, -1], [7, -1], [19, -1]], 5, 1], [[[2, -1], [3, -1], [7, 1], [19, -1]], 4, 1], [[[2, 1], [3, -1], [7, 1], [19, -1]], 3, 2], [[[2, -1], [3, -1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [19, -1]], 3, 3], [[[2, 1], [3, 1], [7, 1], [19, -1]], 3, 3], [[[2, -1], [3, 1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, -1], [7, -1], [19, 1]], 4, 1]], 'ALdims': [4, 3, 4, 2, 3, 3, 2, 5, 4, 3, 3, 5, 4, 4, 4, 3], 'Nk2': 12768, 'analytic_conductor': 25.4882483251927, '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': [3192, 1, [799, 1597, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 625, 'dim': 56, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33557624, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5], 'label': '3192.2.a', 'level': 3192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 656, 'mf_new_dim': 56, 'num_forms': 28, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 1280, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [56, 0, 0, 0, -8, 0, 0, 0, 56, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 8, 0, 16, 0, 0, 0, 0, 0, -8, 0, 16, 0, 8, 0, -16, 0, -8, 0, -48, 0, 56, 0, 8, 0, -8, 0, 16, 0, 4, 0, -32, 0, 16, 0, 0, 0, -16, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 56, 0, 16, 0, 0, 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mf_twists_nf • Show schema
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id: 1062221
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '3192.2.a.p', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '3192.2.a.p', 'target_level': 3192, 'twist_class_label': '3192.2.a.p', 'twist_class_level': 3192, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1062222
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '3192.2.a.p', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '6384.2.a.o', 'target_level': 6384, 'twist_class_label': '3192.2.a.p', 'twist_class_level': 3192, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1062223
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '3192.2.a.p', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '9576.2.a.f', 'target_level': 9576, 'twist_class_label': '3192.2.a.p', 'twist_class_level': 3192, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3052850
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 2}
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id: 3052851
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 3}
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id: 3052852
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 5}
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id: 3052853
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 7}
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id: 3052854
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 11}
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id: 3052855
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 13}
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id: 3052856
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 17}
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id: 3052857
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 19}
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id: 3052858
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 23}
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id: 3052859
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 29}
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id: 3052860
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 31}
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id: 3052861
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 37}
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id: 3052862
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 41}
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id: 3052863
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 43}
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id: 3052864
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 47}
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id: 3052865
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 53}
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id: 3052866
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 59}
-
id: 3052867
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 61}
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id: 3052868
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 67}
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id: 3052869
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 71}
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id: 3052870
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 73}
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id: 3052871
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 79}
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id: 3052872
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 83}
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id: 3052873
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 89}
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id: 3052874
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 67553994444115064, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '3192.2.a.p', 'level': 3192, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 234476000
{'hecke_orbit_code': 67553994444115064, 'n': 1, 'trace_an': 1}
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