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{'Nk2': 16100, 'analytic_conductor': 32.13978681356535, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [7, 1], [23, -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': [4025, 1, [2577, 1151, 3501], [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': [[2, [0, 1]], [3, [-1, 1]], [11, [1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915669945, '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': '4025.2.a.d', 'level': 4025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 7, 23], 'level_radical': 805, 'minimal_twist': '805.2.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-2q^{4}-q^{7}-2q^{9}-q^{11}-2q^{12}+\\cdots', 'related_objects': ['EllipticCurve/Q/4025/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4025.2.a', 'trace_display': [0, 1, 0, -1], 'trace_hash': 892342629745999307, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.147', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [-2], [0], [0], [-1], [0], [-2], [0], [-1], [-2], [1], [0], [0], [4], [1], [0], [2], [0], [-1], [0], [1], [0], [0], [0], [-5], [2], [7], [0], [4], [0], [-1], [0], [0], [4], [8], [0], [1], [0], [-6], [0], [-8], [2], [0], [0], [-7], [4], [1], [0], [1], [-2], [4], [0], [0], [0], [2], [0], [-4], [0], [-10], [0], [2], [-8], [0], [0], [-14], [-2], [1], [0], [0], [0], [2], [0], [0], [-4], [1], [0], [-15], [0], [1], [0], [-8], [2], [0], [0], [7], [0], [6], [0], [-1], [-2], [4], [0], [0], [0], [-7], [0], [2], [0]], 'ap': [[0], [1], [0], [-1], [-1], [1], [1], [2], [1], [7], [4], [8], [-6], [-8], [-7], [4], [-4], [-10], [-14], [0], [2], [-15], [-8], [6], [-7], [-4], [7], [0], [-5], [-18], [2], [-20], [10], [4], [14], [-1], [18], [-4], [-3], [7], [-4], [-16], [-25], [-14], [18], [12], [-5], [25], [15], [-14], [10], [-9], [10], [-12], [-18], [2], [-6], [10], [24], [9], [17], [-27], [-9], [-18], [-9], [-6], [-4], [-10], [8], [-10], [-9], [0], [23], [14], [-28], [0], [-29], [-33], [-5], [4], [12], [-5], [11], [30], [-34], [40], [15], [2], [28], [-30], [-27], [-10], [-14], [15], [25], [5], [-8], [12], [-24], [43], [-38], [-42], [-4], [-10], [-36], [-3], [-28], [37], [25], [10], [-25], [46], [28], [22], [7], [-18], [-49], [48], [6], [-41], [20], [0], [-21], [12], [18], [-15], [-19], [30], [-8], [3], [-43], [-24], [-7], [-8], [-28], [-2], [-49], [35], [17], [9], [-2], [-47], [28], [-32], [-46], [-40], [-38], [-42], [36], [36], [46], [42], [8], [40], [40], [44], [-27], [-4], [29], [60], [18], [40], [-2], [18], [18], [21], [0], [-17], [-1], [-54], [-24], [-46], [27], [28], [-32], [-12], [-7], [45], [36], [36], [-6], [-50], [56], [-38], [48], [18], [40], [-17], [-23], [42], [14], [-14], [1], [56], [4], [3], [13], [-36], [-27], [-59], [50], [-18], [-14], [-2], [8], [59], [-42], [56], [-22], [-24], [-30], [60], [50], [51], [-12], [-24], [2], [44], [-22], [42], [-30], [-60], [49], [6], [-19], [38], [-19], [49], [-57], [-4], [46], [-28], [-28], [53], [-17], [7], [-32], [-38], [-1], [-24], [20], [-24], [-71], [-66], [21], [-70], [44], [-28], [61], [48], [-14], [50], [54], [64], [62], [57], [-70], [60], [-35], [13], [-4], [-18], [20], [-29], [18], [68], [43], [-14], [-44], [8], [-42], [-18], [-71], [-24], [66], [-35], [58], [6], [-77], [-12], [21], [-35], [-56], [-62], [-7], [-55], [-16], [-30], [-56], [16], [-13], [-27], [-6], [-70], [-14], [24], [-32], [-59], [56], [33], [37], [-2], [-29], [-28], [-23], [-8], [4], [-82], [-80], [-78], [48], [9], [54], [28], [36], [52], [16], [57], [-27], [-63], [-60], [-14], [4], [68], [-24], [56], [37], [-12], [-44], [-16], [70], [-18], [22], [-81], [-36], [-15], [-57], [70], [-24], [-61], [-14], [42], [-30], [-1], [36], [20], [30], [24], [-58], [-27], [-50], [30], [45], [-13], [-73], [54], [-10], [-40], [28], [-34], [72], [-54], [74], [91], [4], [22], [-41], [30], [-57], [-27], [-18], [96], [13], [4], [78], [-2], [23], [71], [30], [77], [34], [-58], [-42], [-16], [34], [9], [9], [-67], [50], [-75], [71], [-41], [-37], [68], [51], [-30], [28], [-14], [-65], [18], [44], [94], [-30], [37], [-84], [10], [-28], [51], [-92], [48], [71], [-22], [-82], [-80], [58], [-10], [61], [12], [-90], [-93], [39], [-82], [76], [60], [-23], [-37], [72], [-38], [90], [24]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915669945, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4025.2.a.d', 'level': 4025, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [7, -1], [23, -1]], 35, 2], [[[5, -1], [7, -1], [23, 1]], 21, 3], [[[5, 1], [7, -1], [23, -1]], 18, 5], [[[5, -1], [7, 1], [23, -1]], 27, 3], [[[5, 1], [7, 1], [23, -1]], 22, 5], [[[5, 1], [7, -1], [23, 1]], 31, 8], [[[5, -1], [7, 1], [23, 1]], 29, 2], [[[5, 1], [7, 1], [23, 1]], 27, 3]], 'ALdims': [27, 22, 31, 18, 29, 27, 21, 35], 'Nk2': 16100, 'analytic_conductor': 32.13978681356535, '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': [4025, 1, [2577, 1151, 3501], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 469, 'dim': 210, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 11], 'hecke_orbit_code': 33558457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 8, 8, 8, 8, 8, 12, 12, 14, 14, 14, 14, 21, 21], 'label': '4025.2.a', 'level': 4025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_twists_nf • Show schema
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id: 1182330
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4025.2.a.d', 'source_level': 4025, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '805.2.c.a', 'target_level': 805, 'twist_class_label': '805.2.c.a', 'twist_class_level': 805, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1182331
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4025.2.a.d', 'source_level': 4025, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4025.2.a.c', 'target_level': 4025, 'twist_class_label': '805.2.c.a', 'twist_class_level': 805, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1182332
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4025.2.a.d', 'source_level': 4025, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4025.2.a.d', 'target_level': 4025, 'twist_class_label': '805.2.c.a', 'twist_class_level': 805, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3474225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 2}
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id: 3474226
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 3}
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id: 3474227
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 5}
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id: 3474228
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 7}
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id: 3474229
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 11}
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id: 3474230
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 13}
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id: 3474231
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 17}
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id: 3474232
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 19}
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id: 3474233
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 23}
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id: 3474234
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 29}
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id: 3474235
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 31}
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id: 3474236
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 37}
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id: 3474237
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 41}
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id: 3474238
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 43}
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id: 3474239
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 47}
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id: 3474240
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 53}
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id: 3474241
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 59}
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id: 3474242
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 61}
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id: 3474243
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 67}
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id: 3474244
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 71}
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id: 3474245
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 73}
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id: 3474246
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 79}
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id: 3474247
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 83}
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id: 3474248
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 89}
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id: 3474249
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 13510798915669945, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '4025.2.a.d', 'level': 4025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 128915000
{'hecke_orbit_code': 13510798915669945, 'n': 1, 'trace_an': 1}
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