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{'Nk2': 38304, 'analytic_conductor': 76.4647449755781, 'analytic_rank': 0, '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': [9576, 1, [7183, 4789, 5321, 4105, 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]], [13, [-2, 1]], [17, [-6, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953603432, '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': False, 'label': '9576.2.a.t', 'level': 9576, '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.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{5}-q^{7}+4q^{11}+2q^{13}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/9576/t'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9576.2.a', 'trace_display': [0, 0, 2, -1], 'trace_hash': 940075881223817937, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.995', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [2], [0], [-1], [0], [0], [0], [4], [0], [2], [0], [0], [0], [6], [0], [1], [0], [0], [0], [0], [0], [-1], [0], [0], [0], [10], [0], [8], [0], [0], [0], [-2], [0], [-2], [0], [0], [0], [-6], [0], [4], [0], [0], [0], [8], [0], [1], [0], [0], [0], [-6], [0], [8], [0], [0], [0], [4], [0], [-10], [0], [0], [0], [4], [0], [8], [0], [0], [0], [-12], [0], [-14], [0], [0], [0], [-4], [0], [-4], [0], [0], [0], [4], [0], [12], [0], [0], [0], [-6], [0], [-2], [0], [0], [0], [2], [0], [14], [0], [0], [0]], 'ap': [[0], [0], [2], [-1], [4], [2], [6], [1], [0], [10], [8], [-2], [-6], [4], [8], [-6], [4], [-10], [8], [-12], [-14], [-4], [4], [-6], [14], [-6], [16], [0], [-10], [-2], [20], [-4], [-10], [4], [10], [-20], [14], [4], [-24], [-18], [0], [18], [-16], [-14], [26], [0], [0], [8], [4], [6], [6], [-8], [22], [-20], [-22], [8], [6], [8], [-10], [-2], [-4], [22], [12], [24], [10], [18], [32], [-22], [-12], [-34], [-26], [16], [0], [-26], [16], [-32], [10], [-34], [6], [22], [36], [6], [12], [22], [40], [12], [-18], [-6], [34], [-8], [-36], [0], [-28], [20], [28], [0], [6], [-14], [-36], [-2], [8], [18], [28], [-18], [-28], [-14], [-44], [-18], [20], [-2], [-8], [38], [-42], [-36], [-8], [-10], [-20], [8], [-46], [-8], [10], [26], [-18], [32], [28], [2], [6], [24], [-16], [22], [12], [-36], [-20], [6], [-18], [-14], [54], [4], [-18], [38], [-4], [42], [-16], [-32], [-30], [24], [14], [-6], [20], [44], [-10], [22], [28], [32], [16], [12], [-40], [30], [-46], [38], [-12], [54], [-8], [-28], [-26], [32], [52], [38], [50], [-54], [-24], [2], [-48], [58], [40], [6], [4], [-38], [-8], [-26], [0], [12], [-2], [-22], [-32], [10], [62], [44], [-46], [0], [38], [44], [32], [-42], [-44], [-46], [50], [-18], [-50], [-40], [18], [-40], [-62], [6], [-36], [-62], [32], [48], [-26], [-44], [2], [2], [56], [-12], [-8], [38], [32], [10], [28], [-14], [-66], [8], [-34], [-48], [-36], [-26], [-14], [12], [0], [20], [62], [-36], [44], [-58], [12], [0], [-54], [10], [44], [56], [24], [-28], [48], [46], [-54], [56], [-56], [-12], [-56], [-64], [-2], [-18], [8], [-2], [-54], [-36], [22], [44], [-2], [66], [-12], [-72], [-2], [26], [-2], [12], [-46], [-42], [64], [-54], [-62], [24], [-46], [-56], [30], [8], [-60], [-18], [-38], [-68], [-40], [-64], [-48], [-62], [-44], [-8], [-30], [-38], [24], [42], [-14], [-60], [-66], [-60], [-2], [-6], [64], [2], [84], [-44], [-62], [-22], [32], [-16], [-68], [42], [-80], [-14], [24], [6], [-64], [26], [70], [0], [48], [-10], [20], [-44], [34], [-2], [84], [-54], [-58], [68], [-42], [-10], [-16], [-76], [-20], [26], [46], [42], [-24], [36], [-36], [4], [86], [34], [26], [8], [-58], [54], [-42], [36], [-22], [-24], [30], [-8], [8], [10], [-28], [90], [82], [-24], [22], [82], [0], [-12], [-18], [36], [-26], [-66], [12], [-88], [-20], [-30], [18], [60], [58], [-60], [-20], [-24], [-6], [-16], [94], [-4], [72], [-14], [30], [-50], [70], [6], [48], [94], [-84], [24], [56], [-42], [-52], [-64], [10], [-26], [-68], [-68], [60], [50], [-32], [42], [24], [90], [42], [-66], [28], [-78], [-34], [8], [-82], [14], [-44], [-4], [-58], [90], [72], [60], [-6], [34], [28], [-104], [-74], [0], [10], [-22], [24], [12], [30], [-34], [16], [70], [-100], [16], [-58], [20], [-20], [-24], [-10], [30], [42], [14], [56], [72], [-84], [94], [30], [100], [-30], [94], [36], [48], [-34], [98], [-48], [0], [4], [-26], [-46], [106], [-26], [4], [22], [86], [32], [-60], [-24], [-10], [-52], [-46], [-68], [4], [-66], [68], [52], [-72], [-56], [-14], [24], [-94], [98], [96], [-8], [-6], [-58], [10], [-98], [-42], [16], [-60], [-2], [-20], [36], [100], [98], [48], [42], [-74], [20], [70], [-76], [-6], [32], [-56], [-110], [-16], [6], [-88], [-34], [-2], [100], [-48], [-50], [52], [-76], [0], [34], [2], [-20], [-62], [-2], [-26], [12], [-56], [86], [112], [-82], [72], [50], [-92], [54], [-102], [-112], [-26], [120], [-18]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 85568392953603432, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '9576.2.a.t', 'level': 9576, 'maxp': 3833, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [19, 1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [19, 1]], 12, 5], [[[2, -1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [19, -1]], 12, 4], [[[2, -1], [3, -1], [7, 1], [19, -1]], 11, 6], [[[2, 1], [3, -1], [7, 1], [19, -1]], 9, 5], [[[2, -1], [3, -1], [7, 1], [19, 1]], 9, 4], [[[2, -1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, 1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, -1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, -1], [3, -1], [7, -1], [19, 1]], 11, 5]], 'ALdims': [6, 7, 7, 6, 12, 9, 9, 12, 6, 7, 7, 6, 9, 11, 11, 9], 'Nk2': 38304, 'analytic_conductor': 76.4647449755781, '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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1889, 'dim': 134, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33564008, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '9576.2.a', 'level': 9576, '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': 1952, 'mf_new_dim': 134, 'num_forms': 67, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 134, 'sturm_bound': 3840, 'trace_bound': 17, 'trace_display': [0, 0, 4, 0], 'traces': [134, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 134, 0, 0, 0, -4, 0, 16, 0, 0, 0, -12, 0, 4, 0, 0, 0, -4, 0, 20, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1437948
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '9576.2.a.t', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '3192.2.a.b', 'target_level': 3192, 'twist_class_label': '3192.2.a.b', 'twist_class_level': 3192, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1437949
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '9576.2.a.t', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '6384.2.a.v', 'target_level': 6384, 'twist_class_label': '3192.2.a.b', 'twist_class_level': 3192, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1437950
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '9576.2.a.t', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '9576.2.a.t', 'target_level': 9576, 'twist_class_label': '3192.2.a.b', 'twist_class_level': 3192, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5066625
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 2}
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id: 5066626
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 3}
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id: 5066627
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 5}
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id: 5066628
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 7}
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id: 5066629
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 11}
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id: 5066630
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 13}
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id: 5066631
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 17}
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id: 5066632
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 19}
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id: 5066633
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 23}
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id: 5066634
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 29}
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id: 5066635
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 31}
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id: 5066636
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 37}
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id: 5066637
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 41}
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id: 5066638
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 43}
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id: 5066639
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 47}
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id: 5066640
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 53}
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id: 5066641
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 59}
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id: 5066642
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 61}
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id: 5066643
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 67}
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id: 5066644
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 71}
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id: 5066645
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 73}
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id: 5066646
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 79}
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id: 5066647
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 83}
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id: 5066648
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 89}
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id: 5066649
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 85568392953603432, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '9576.2.a.t', 'level': 9576, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 248204000
{'hecke_orbit_code': 85568392953603432, 'n': 1, 'trace_an': 1}
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id: 248204001
{'hecke_orbit_code': 85568392953603432, 'n': 2, 'trace_an': 0}
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id: 248204002
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