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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, [4, 1]], [17, [-2, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562003576, '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.m', '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.m', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-2q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/3192/m'], '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': 261951610605323863, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.073', '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], [-4], [0], [2], [0], [-2], [0], [2], [0], [-1], [0], [1], [0], [0], [0], [-1], [0], [1], [0], [-2], [0], [-8], [0], [-4], [0], [-2], [0], [-2], [0], [2], [0], [-2], [0], [4], [0], [-2], [0], [0], [0], [1], [0], [2], [0], [-2], [0], [8], [0], [-1], [0], [-12], [0], [14], [0], [1], [0], [-4], [0], [8], [0], [0], [0], [-12], [0], [-14], [0], [-1], [0], [-4], [0], [-4], [0], [1], [0], [-4], [0], [-4], [0], [-2], [0], [-18], [0], [2], [0], [-8], [0], [2], [0], [-10], [0], [-4], [0]], 'ap': [[0], [1], [-2], [1], [-4], [2], [2], [-1], [0], [-2], [-8], [-2], [-2], [4], [0], [-2], [-12], [14], [8], [-12], [-14], [-4], [-4], [-18], [-10], [-10], [16], [8], [6], [-6], [-12], [-12], [10], [-4], [-10], [-20], [6], [4], [-8], [18], [-8], [2], [0], [-14], [-10], [-16], [16], [8], [-28], [14], [10], [-8], [14], [-12], [30], [-8], [26], [-8], [22], [-22], [4], [26], [20], [0], [26], [22], [-16], [-22], [-4], [-10], [18], [-16], [0], [6], [-32], [0], [-26], [22], [18], [-2], [-20], [-10], [12], [14], [40], [-12], [-6], [-6], [-2], [40], [-12], [24], [-12], [-20], [28], [24], [26], [6], [-28], [-2], [8], [14], [-36], [-6], [20], [18], [12], [-22], [36], [-26], [-24], [-10], [42], [4], [-8], [2], [4], [0], [-18], [16], [-38], [-22], [18], [-8], [20], [-2], [22], [0], [48], [30], [-20], [28], [-20], [22], [42], [2], [-6], [-52], [18], [-6], [20], [22], [16], [-24], [-14], [-8], [22], [30], [-4], [-20], [22], [-30], [-4], [0], [32], [28], [-56], [-6], [-30], [42], [12], [50], [40], [-12], [-14], [16], [20], [-18], [34], [-42], [0], [34], [-48], [-38], [-24], [50], [-44], [-26], [24], [30], [-32], [-36], [14], [-34], [-32], [22], [-50], [20], [50], [-40], [14], [36], [-64], [-54], [28], [-42], [18], [-2], [26], [16], [6], [56], [-30], [14], [-12], [-18], [16], [-24], [-54], [-52], [-30], [30], [8], [20], [-24], [-50], [-64], [-18], [-36], [-2], [-50], [-40], [26], [16], [60], [22], [22], [-36], [-32], [-4], [-18], [20], [-52], [18], [-28], [72], [26], [-58], [52], [-72], [16], [-4], [-48], [-18], [-34], [0], [40], [-12], [40], [48], [-66], [42], [-40], [-26], [6], [-76], [-58], [-28], [18], [2], [-28], [0], [38], [-38], [42], [68], [6], [-30], [-48], [6], [-30], [-72], [-46], [40], [-74], [-24], [12], [46], [-6], [-44], [-72], [-32], [24], [34], [44], [-72], [-30], [-18], [40], [30], [-18], [-68], [42], [84], [-34], [6], [-64], [14], [36], [44], [2], [-2], [16], [-24], [28], [10], [72], [-30], [-40], [38], [24], [-10], [-46], [16], [32], [14], [44], [-12], [50], [-30], [-36], [10], [42], [-76], [-6], [-82], [48], [76], [-20], [6], [-50], [94], [56], [44], [-68], [-52], [54], [-58], [10], [8], [-26], [-22], [42], [-92], [62], [0], [86], [-8], [-40], [-58], [-20], [-22], [30], [-24], [54], [-74], [40], [12], [66], [20], [-58], [-54], [44], [0], [-76], [-46], [-66], [-36], [-38], [44], [-28], [-8], [-34], [-32], [62], [60], [-72], [50], [-86], [-26], [-70], [90], [48], [-30], [-28], [-40], [-8], [-18], [-36], [0], [-22], [-86], [84], [-28], [28], [-46], [-32], [78], [-40], [54], [74], [-62], [-4], [70], [-94], [88], [46], [90], [-36], [-44], [78], [54], [16], [-20], [26], [-50], [-20], [-24], [82], [32], [30], [26], [72], [60], [86], [-14], [24], [106], [52], [-8]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 54043195562003576, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3192.2.a.m', '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: 1062212
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '3192.2.a.m', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '3192.2.a.m', 'target_level': 3192, 'twist_class_label': '3192.2.a.m', 'twist_class_level': 3192, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1062213
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '3192.2.a.m', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6384.2.a.f', 'target_level': 6384, 'twist_class_label': '3192.2.a.m', 'twist_class_level': 3192, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1062214
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '3192.2.a.m', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9576.2.a.x', 'target_level': 9576, 'twist_class_label': '3192.2.a.m', '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: 3052750
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 2}
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id: 3052751
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 3}
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id: 3052752
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 5}
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id: 3052753
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 7}
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id: 3052754
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 11}
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id: 3052755
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 13}
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id: 3052756
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 17}
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id: 3052757
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 19}
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id: 3052758
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 23}
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id: 3052759
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 29}
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id: 3052760
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 31}
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id: 3052761
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 37}
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id: 3052762
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 41}
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id: 3052763
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 43}
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id: 3052764
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 47}
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id: 3052765
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 53}
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id: 3052766
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 59}
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id: 3052767
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 61}
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id: 3052768
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 67}
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id: 3052769
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 71}
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id: 3052770
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 73}
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id: 3052771
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 79}
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id: 3052772
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 83}
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id: 3052773
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 89}
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id: 3052774
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 54043195562003576, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '3192.2.a.m', '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: 221811000
{'hecke_orbit_code': 54043195562003576, 'n': 1, 'trace_an': 1}
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id: 221811001
{'hecke_orbit_code': 54043195562003576, 'n': 2, 'trace_an': 0}
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id: 221811002
{'hecke_orbit_code': 54043195562003576, 'n': 3, 'trace_an': 1}
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id: 221811003
{'hecke_orbit_code': 54043195562003576, 'n': 4, 'trace_an': 0}
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id: 221811004
{'hecke_orbit_code': 54043195562003576, 'n': 5, 'trace_an': -2}
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id: 221811005
{'hecke_orbit_code': 54043195562003576, 'n': 6, 'trace_an': 0}
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{'hecke_orbit_code': 54043195562003576, 'n': 988, 'trace_an': 0}
-
id: 221811988
{'hecke_orbit_code': 54043195562003576, 'n': 989, 'trace_an': 0}
-
id: 221811989
{'hecke_orbit_code': 54043195562003576, 'n': 990, 'trace_an': 0}
-
id: 221811990
{'hecke_orbit_code': 54043195562003576, 'n': 991, 'trace_an': 20}
-
id: 221811991
{'hecke_orbit_code': 54043195562003576, 'n': 992, 'trace_an': 0}
-
id: 221811992
{'hecke_orbit_code': 54043195562003576, 'n': 993, 'trace_an': -16}
-
id: 221811993
{'hecke_orbit_code': 54043195562003576, 'n': 994, 'trace_an': 0}
-
id: 221811994
{'hecke_orbit_code': 54043195562003576, 'n': 995, 'trace_an': 32}
-
id: 221811995
{'hecke_orbit_code': 54043195562003576, 'n': 996, 'trace_an': 0}
-
id: 221811996
{'hecke_orbit_code': 54043195562003576, 'n': 997, 'trace_an': -18}
-
id: 221811997
{'hecke_orbit_code': 54043195562003576, 'n': 998, 'trace_an': 0}
-
id: 221811998
{'hecke_orbit_code': 54043195562003576, 'n': 999, 'trace_an': -2}
-
id: 221811999
{'hecke_orbit_code': 54043195562003576, 'n': 1000, 'trace_an': 0}