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{'Nk2': 22080, 'analytic_conductor': 44.077421915746775, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [23, -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': [5520, 1, [4831, 1381, 1841, 4417, 1201], [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': [[7, [3, 1]], [11, [-2, 1]], [13, [-2, 1]], [17, [1, 1]], [19, [6, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953599376, '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': '5520.2.a.t', 'level': 5520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '2760.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}-3q^{7}+q^{9}+2q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/5520/t'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5520.2.a', 'trace_display': [0, 1, -1, -3], 'trace_hash': 1468045724578828882, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.979', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.956', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.877', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [1, 0, 1, 0, -1, 0, -3, 0, 1, 0, 2, 0, 2, 0, -1, 0, -1, 0, -6, 0, -3, 0, 1, 0, 1, 0, 1, 0, 3, 0, 3, 0, 2, 0, 3, 0, 3, 0, 2, 0, -7, 0, 0, 0, -1, 0, 0, 0, 2, 0, -1, 0, -5, 0, -2, 0, -6, 0, -9, 0, 12, 0, -3, 0, -2, 0, -3, 0, 1, 0, -3, 0, 2, 0, 1, 0, -6, 0, -4, 0, 1, 0, -7, 0, 1, 0, 3, 0, -16, 0, -6, 0, 3, 0, 6, 0, -6, 0, 2, 0, 7, 0, -8, 0, 3, 0, -15, 0, -14, 0, 3, 0, 19, 0, -1, 0, 2, 0, 3, 0, -7, 0, -7, 0, -1, 0, -8, 0, 0, 0, 4, 0, 18, 0, -1, 0, -2, 0, -15, 0, 0, 0, 4, 0, -3, 0, 2, 0, 20, 0, -4, 0, -1, 0, -3, 0, -7, 0, -5, 0, -3, 0, -2, 0, -2, 0, 8, 0, -9, 0, -6, 0, 12, 0, -3, 0, -9, 0, 0, 0, 20, 0, 12, 0, -3, 0, -2, 0, -3, 0, -24, 0, 12, 0, -2, 0, -2, 0, -10, 0, -3, 0, -9, 0, 7, 0, 1, 0, -12, 0, -13, 0, -3, 0, 0, 0, -9, 0, 2, 0, -2, 0, -22, 0, 1, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [-1], [0], [-3], [0], [1], [0], [2], [0], [2], [0], [-1], [0], [-1], [0], [-6], [0], [-3], [0], [1], [0], [1], [0], [1], [0], [3], [0], [3], [0], [2], [0], [3], [0], [3], [0], [2], [0], [-7], [0], [0], [0], [-1], [0], [0], [0], [2], [0], [-1], [0], [-5], [0], [-2], [0], [-6], [0], [-9], [0], [12], [0], [-3], [0], [-2], [0], [-3], [0], [1], [0], [-3], [0], [2], [0], [1], [0], [-6], [0], [-4], [0], [1], [0], [-7], [0], [1], [0], [3], [0], [-16], [0], [-6], [0], [3], [0], [6], [0], [-6], [0], [2], [0]], 'ap': [[0], [1], [-1], [-3], [2], [2], [-1], [-6], [1], [3], [3], [3], [-7], [0], [0], [-5], [-9], [12], [-3], [-3], [2], [-4], [-7], [-16], [-6], [7], [-8], [-15], [-14], [19], [-8], [4], [-2], [-15], [20], [-4], [-7], [-2], [8], [12], [0], [20], [-24], [12], [-2], [-10], [-13], [-22], [-12], [-20], [12], [-5], [-14], [-6], [8], [-1], [-15], [5], [14], [-30], [-29], [1], [-18], [24], [1], [0], [-1], [2], [16], [-25], [24], [-8], [23], [-26], [32], [-9], [-14], [8], [2], [-11], [30], [-10], [32], [-5], [0], [12], [11], [29], [14], [10], [-7], [4], [16], [13], [13], [11], [-22], [-14], [-4], [-10], [0], [-37], [-9], [26], [-28], [8], [10], [24], [16], [3], [-28], [14], [-39], [-40], [-20], [30], [-7], [2], [2], [30], [-14], [28], [-3], [16], [-12], [-48], [-8], [3], [31], [19], [19], [-24], [22], [-19], [13], [-32], [14], [-23], [-35], [31], [-5], [-6], [4], [3], [-7], [2], [-42], [-18], [-25], [46], [22], [12], [20], [34], [37], [12], [16], [51], [-38], [28], [12], [10], [-20], [20], [45], [-51], [31], [8], [16], [0], [-24], [9], [-62], [11], [48], [36], [-52], [15], [-13], [46], [-22], [-36], [10], [-30], [31], [-26], [38], [19], [-55], [17], [38], [-14], [38], [-7], [24], [37], [-46], [30], [-18], [34], [52], [-44], [18], [-14], [-32], [-6], [68], [-22], [-31], [20], [42], [-18], [56], [20], [23], [-28], [46], [57], [63], [18], [-63], [14], [51], [31], [-46], [-29], [30], [51], [4], [-63], [30], [-38], [62], [3], [53], [-4], [-20], [26], [-29], [-35], [-23], [-37], [-38], [-66], [-44], [-28], [4], [-26], [-26], [21], [-18], [-6], [39], [-34], [-6], [3], [-72], [-32], [-54], [-14], [-25], [-21], [31], [45], [48], [40], [4], [-30], [67], [16], [13], [13], [-53], [-34], [60], [-34], [60], [-55], [72], [-32], [-70], [72], [56], [-48], [-58], [53], [-61], [18], [-40], [26], [-62], [15], [56], [-20], [-84], [60], [34], [30], [13], [-86], [13], [-77], [-60], [-76], [-68], [20], [-14], [26], [-4], [76], [-16], [-2], [48], [8], [11], [-32], [-9], [3], [11], [78], [-20], [-55], [-30], [54], [-69], [-40], [20], [86], [48], [-87], [-41], [38], [-91], [38], [12], [12], [70], [18], [-38], [13], [-14], [-38], [50], [48], [-27], [45], [89], [14], [50], [-3], [49], [-52], [-29], [19], [-68], [6], [-30], [58], [-22], [2], [-29], [-91], [-18], [-64], [38], [10], [-12], [-23], [-76], [17], [59], [-74], [-20], [4], [18], [-61], [54], [-25], [-36], [-22], [-18], [-58], [92], [-82], [88], [46], [-41], [-84], [21], [77], [-34], [18], [-39], [28], [-30], [79], [-62], [24], [80], [-3], [-21], [38], [31], [9], [3], [-79], [-51], [-30], [-92], [-4], [-76], [-42], [84], [-92], [-67], [-30], [0], [56], [-57], [-36], [-34], [14], [18], [-84], [12], [68], [12], [11], [76], [-47]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 85568392953599376, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5520.2.a.t', 'level': 5520, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 5, 4], [[[2, -1], [3, -1], [5, -1], [23, -1]], 5, 4], [[[2, -1], [3, 1], [5, 1], [23, -1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [23, -1]], 6, 3], [[[2, 1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, 1]], 6, 4], [[[2, -1], [3, 1], [5, -1], [23, -1]], 6, 5], [[[2, 1], [3, -1], [5, -1], [23, -1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, 1]], 8, 4], [[[2, 1], [3, -1], [5, -1], [23, 1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [23, 1]], 6, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 5, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 6, 5]], 'ALdims': [6, 4, 4, 6, 8, 4, 4, 8, 6, 5, 5, 6, 5, 6, 6, 5], 'Nk2': 22080, 'analytic_conductor': 44.077421915746775, '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': [5520, 1, [4831, 1381, 1841, 4417, 1201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1129, 'dim': 88, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33559952, '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, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5], 'label': '5520.2.a', 'level': 5520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1176, 'mf_new_dim': 88, 'num_forms': 55, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 2304, 'trace_bound': 17, 'trace_display': [0, 4, 0, 8], 'traces': [88, 0, 4, 0, 0, 0, 8, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 88, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 104, 0, 0, 0, -32, 0, -16, 0, 16, 0, -32, 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mf_twists_nf • Show schema
Hide schema
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id: 1263278
{'conductor': 4, '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': '5520.2.a.t', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '2760.2.a.b', 'target_level': 2760, 'twist_class_label': '2760.2.a.b', 'twist_class_level': 2760, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1263279
{'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': '5520.2.a.t', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5520.2.a.t', 'target_level': 5520, 'twist_class_label': '2760.2.a.b', 'twist_class_level': 2760, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1263280
{'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': '5520.2.a.t', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '8280.2.a.t', 'target_level': 8280, 'twist_class_label': '2760.2.a.b', 'twist_class_level': 2760, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3921175
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 2}
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id: 3921176
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 3}
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id: 3921177
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 5}
-
id: 3921178
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 7}
-
id: 3921179
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 11}
-
id: 3921180
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 13}
-
id: 3921181
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 17}
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id: 3921182
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 19}
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id: 3921183
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 23}
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id: 3921184
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 29}
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id: 3921185
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 31}
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id: 3921186
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 37}
-
id: 3921187
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 41}
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id: 3921188
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 43}
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id: 3921189
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 47}
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id: 3921190
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 53}
-
id: 3921191
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 59}
-
id: 3921192
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 61}
-
id: 3921193
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 67}
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id: 3921194
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 71}
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id: 3921195
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 73}
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id: 3921196
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 79}
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id: 3921197
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 83}
-
id: 3921198
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 89}
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id: 3921199
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953599376, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '5520.2.a.t', 'level': 5520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 247215000
{'hecke_orbit_code': 85568392953599376, 'n': 1, 'trace_an': 1}
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id: 247215001
{'hecke_orbit_code': 85568392953599376, 'n': 2, 'trace_an': 0}
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id: 247215002
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