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{'Nk2': 38720, 'analytic_conductor': 77.2951891565994, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [11, -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': [9680, 1, [3631, 2421, 1937, 4721], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[3, [1, 1]], [7, [1, 1]], [13, [2, 1]], [17, [0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170416592, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9680.2.a.f', 'level': 9680, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '2420.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}-q^{7}-2q^{9}-2q^{13}+q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/9680/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9680.2.a', 'trace_display': [0, -1, -1, -1], 'trace_hash': 261627380190417128, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [-1], [0], [-1], [0], [-2], [0], [0], [0], [-2], [0], [1], [0], [0], [0], [2], [0], [1], [0], [0], [0], [1], [0], [5], [0], [6], [0], [4], [0], [0], [0], [1], [0], [-4], [0], [2], [0], [-9], [0], [-1], [0], [2], [0], [3], [0], [-6], [0], [0], [0], [-6], [0], [0], [0], [-2], [0], [0], [0], [1], [0], [2], [0], [2], [0], [13], [0], [0], [0], [12], [0], [16], [0], [-1], [0], [0], [0], [-10], [0], [1], [0], [12], [0], [0], [0], [-6], [0], [-3], [0], [2], [0], [-4], [0], [-2], [0], [-10], [0], [0], [0]], 'ap': [[0], [-1], [-1], [-1], [0], [-2], [0], [2], [0], [6], [4], [-4], [-9], [-1], [3], [-6], [0], [1], [13], [12], [16], [-10], [12], [-3], [-10], [3], [4], [3], [-5], [18], [17], [-18], [-6], [-4], [-9], [20], [-4], [-11], [-21], [6], [-6], [-7], [-18], [-14], [-6], [10], [-16], [-17], [9], [-13], [-18], [18], [-5], [-12], [12], [-12], [-3], [20], [10], [30], [-31], [24], [20], [18], [14], [-6], [10], [-2], [-3], [34], [24], [6], [-5], [-32], [-26], [-24], [-15], [-4], [3], [-11], [-18], [-37], [-30], [-16], [20], [-39], [-9], [28], [-21], [-5], [-27], [-18], [28], [30], [-26], [-21], [-21], [15], [20], [31], [-28], [-36], [27], [-15], [14], [-16], [3], [-6], [6], [-26], [-40], [34], [48], [-20], [-8], [-30], [-47], [-27], [18], [-6], [-49], [-8], [48], [-27], [-14], [-18], [11], [-30], [37], [4], [-10], [3], [22], [2], [18], [-14], [36], [35], [12], [6], [-40], [21], [-11], [27], [-31], [6], [-44], [18], [-26], [33], [-32], [-27], [-56], [51], [7], [18], [-22], [-42], [-2], [-33], [-12], [24], [8], [12], [0], [33], [58], [22], [31], [-18], [-24], [-31], [30], [-2], [16], [-39], [20], [-39], [8], [10], [31], [24], [-22], [-42], [39], [-54], [-8], [4], [1], [0], [-16], [36], [16], [-6], [33], [-6], [22], [-10], [36], [27], [-27], [38], [-28], [-53], [60], [54], [34], [-45], [-33], [40], [46], [51], [40], [12], [-54], [17], [-31], [18], [27], [48], [-50], [-4], [-30], [1], [-63], [-5], [6], [72], [32], [-54], [-46], [-28], [32], [-9], [1], [-21], [-37], [-30], [-54], [0], [48], [26], [49], [35], [66], [42], [-23], [-42], [-22], [-27], [-38], [-6], [63], [-10], [-12], [24], [-31], [35], [48], [-26], [-79], [-3], [49], [34], [48], [-50], [15], [15], [-7], [-48], [62], [49], [-4], [56], [-62], [16], [-36], [-35], [31], [-18], [15], [-20], [75], [-41], [-76], [-42], [-64], [-78], [10], [66], [42], [60], [36], [30], [28], [42], [-80], [-24], [-30], [-37], [28], [36], [20], [-21], [4], [-76], [39], [59], [0], [-68], [-87], [-30], [-39], [-89], [-81], [-50], [-12], [30], [-82], [-75], [-46], [-4], [30], [-23], [-54], [65], [-74], [73], [69], [78], [46], [72], [-82], [69], [20], [-12], [-7], [-66], [-19], [44], [2], [36], [-30], [-80], [-30], [-48], [86], [52], [-6], [-60], [-82], [14], [3], [35], [13], [-30], [24], [84], [42], [72], [28], [-15], [-93], [-84], [-68], [-34], [-42], [-79], [-89], [-24], [-2], [-3], [27], [14], [-34], [60], [48], [16], [45], [28], [81], [6], [-88], [72], [-64], [39], [82], [50], [20], [-3], [38], [-42], [60], [13], [18], [-80], [44], [-15], [-62], [69], [31], [-78], [41], [42], [-45], [20], [26], [21], [16], [-24], [-8], [-30], [12], [44], [-62], [30], [24], [-17], [42], [-48], [-30], [-14], [-3], [72], [-82], [60], [-39], [18], [-14], [-24], [74], [-48], [-26], [3], [86], [69], [55], [-10], [-56], [-70], [-36], [-102], [22], [78], [73], [24], [-1], [48], [-43]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998170416592, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '9680.2.a.f', 'level': 9680, 'maxp': 3169, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [24, 30, 30, 25, 30, 25, 24, 30], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [157, 168, 162, 161, 168, 155, 162, 162], 'Nk2': 38720, 'analytic_conductor': 77.2951891565994, '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': [9680, 1, [3631, 2421, 1937, 4721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 218, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13, 17], 'hecke_orbit_code': 33564112, '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, 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, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8], 'label': '9680.2.a', 'level': 9680, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 1656, 'mf_new_dim': 218, 'num_forms': 84, 'plus_dim': 98, 'prim_orbit_index': 1, 'relative_dim': 218, 'sturm_bound': 3168, 'trace_bound': 17, 'trace_display': [0, 2, 0, 6], 'traces': [218, 0, 2, 0, 0, 0, 6, 0, 222, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, -4, 0, -2, 0, 218, 0, -4, 0, -12, 0, 12, 0, 0, 0, -6, 0, -8, 0, -20, 0, 0, 0, 14, 0, -4, 0, -22, 0, 230, 0, -36, 0, 0, 0, 0, 0, 8, 0, -16, 0, 16, 0, 6, 0, 4, 0, 30, 0, 20, 0, 12, 0, 20, 0, 2, 0, 0, 0, 8, 0, 230, 0, -26, 0, 8, 0, -36, 0, 20, 0, 52, 0, 40, 0, 8, 0, 28, 0, 0, 0, 28, 0, 30, 0, 4, 0, -46, 0, 0, 0, -36, 0, -12, 0, 2, 0, 40, 0, -36, 0, 0, 0, -36, 0, 0, 0, 22, 0, 4, 0, 60, 0, 24, 0, -20, 0, -28, 0, -56, 0, 44, 0, 0, 0, 8, 0, 2, 0, 0, 0, 52, 0, -36, 0, 20, 0, 8, 0, 52, 0, -36, 0, 74, 0, 0, 0, 14, 0, 222, 0, 32, 0, 24, 0, 6, 0, -56, 0, 56, 0, 12, 0, 52, 0, -4, 0, 0, 0, 40, 0, 4, 0, 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0, 32, 0, 192, 0, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1442517
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '9680.2.a.f', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '2420.2.a.e', 'target_level': 2420, 'twist_class_label': '2420.2.a.e', 'twist_class_level': 2420, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1442518
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '9680.2.a.f', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '2420.2.a.f', 'target_level': 2420, 'twist_class_label': '2420.2.a.e', 'twist_class_level': 2420, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1442519
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '9680.2.a.f', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '9680.2.a.f', 'target_level': 9680, 'twist_class_label': '2420.2.a.e', 'twist_class_level': 2420, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1442520
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '9680.2.a.f', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '9680.2.a.h', 'target_level': 9680, 'twist_class_label': '2420.2.a.e', 'twist_class_level': 2420, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5094450
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 2}
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id: 5094451
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 3}
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id: 5094452
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 5}
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id: 5094453
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 7}
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id: 5094454
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 11}
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id: 5094455
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 13}
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id: 5094456
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 17}
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id: 5094457
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 19}
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id: 5094458
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 23}
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id: 5094459
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 29}
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id: 5094460
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 31}
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id: 5094461
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 37}
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id: 5094462
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 41}
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id: 5094463
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 43}
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id: 5094464
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 47}
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id: 5094465
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 53}
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id: 5094466
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 59}
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id: 5094467
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 61}
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id: 5094468
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 67}
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id: 5094469
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 71}
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id: 5094470
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 73}
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id: 5094471
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 79}
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id: 5094472
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 83}
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id: 5094473
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 89}
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id: 5094474
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 22517998170416592, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '9680.2.a.f', 'level': 9680, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 43355845
{'hecke_orbit_code': 22517998170416592, 'n': 1, 'trace_an': 1}
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id: 43355846
{'hecke_orbit_code': 22517998170416592, 'n': 2, 'trace_an': 0}
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id: 43355847
{'hecke_orbit_code': 22517998170416592, 'n': 3, 'trace_an': -1}
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id: 43355848
{'hecke_orbit_code': 22517998170416592, 'n': 4, 'trace_an': 0}
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id: 43355849
{'hecke_orbit_code': 22517998170416592, 'n': 5, 'trace_an': -1}
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id: 43355850
{'hecke_orbit_code': 22517998170416592, 'n': 6, 'trace_an': 0}
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id: 43355851
{'hecke_orbit_code': 22517998170416592, 'n': 7, 'trace_an': -1}
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id: 43355852
{'hecke_orbit_code': 22517998170416592, 'n': 8, 'trace_an': 0}
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