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{'Nk2': 33800, 'analytic_conductor': 67.47358970798193, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [13, -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': [8450, 1, [677, 3551], [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, [-3, 1]], [11, [0, 1]], [17, [-3, 1]], [31, [0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425156354, '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': '8450.2.a.h', 'level': 8450, '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, 13], 'level_radical': 130, 'minimal_twist': '26.2.b.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}+3q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/8450/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8450.2.a', 'trace_display': [-1, 1, 0, 3], 'trace_hash': 600329085272553063, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.933', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.752', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, 'traces': [1, -1, 1, 1, 0, -1, 3, -1, -2, 0, 0, 1, 0, -3, 0, 1, 3, 2, -6, 0, 3, 0, -6, -1, 0, 0, -5, 3, 0, 0, 0, -1, 0, -3, 0, -2, 3, 6, 0, 0, 0, -3, -1, 0, 0, 6, 3, 1, 2, 0, 3, 0, 6, 5, 0, -3, -6, 0, 6, 0, -8, 0, -6, 1, 0, 0, 12, 3, -6, 0, 15, 2, 6, -3, 0, -6, 0, 0, 10, 0, 1, 0, -6, 3, 0, 1, 0, 0, 6, 0, 0, -6, 0, -3, 0, -1, 12, -2, 0, 0, -12, -3, 14, 0, 0, -6, 12, -5, 9, 0, 3, 3, 6, 6, 0, 0, 0, -6, 9, 0, -11, 8, 0, 0, 0, 6, -2, -1, -1, 0, -3, 0, -18, -12, 0, -3, 18, 6, 5, 0, 3, -15, 0, -2, 0, -6, 2, 3, -6, 0, 15, 6, -6, 0, 0, 0, 22, -10, 6, 0, -18, -1, 6, 0, 0, 6, -12, -3, 0, 0, 12, -1, -6, 0, 0, 0, 6, -6, -15, 0, -2, 0, -8, 6, 0, 0, 0, 3, -15, 0, 12, 1, 6, -12, 0, 2, -3, 0, 20, 0, 12, 12, 0, 3, 0, -14, 12, 0, 0, 0, -23, 6, 15, -12, 0, 5, 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [0], [-1], [3], [-1], [-2], [0], [0], [1], [0], [-3], [0], [1], [3], [2], [-6], [0], [3], [0], [-6], [-1], [0], [0], [-5], [3], [0], [0], [0], [-1], [0], [-3], [0], [-2], [3], [6], [0], [0], [0], [-3], [-1], [0], [0], [6], [3], [1], [2], [0], [3], [0], [6], [5], [0], [-3], [-6], [0], [6], [0], [-8], [0], [-6], [1], [0], [0], [12], [3], [-6], [0], [15], [2], [6], [-3], [0], [-6], [0], [0], [10], [0], [1], [0], [-6], [3], [0], [1], [0], [0], [6], [0], [0], [-6], [0], [-3], [0], [-1], [12], [-2], [0], [0]], 'ap': [[-1], [1], [0], [3], [0], [0], [3], [-6], [-6], [0], [0], [3], [0], [-1], [3], [6], [6], [-8], [12], [15], [6], [10], [-6], [6], [12], [-12], [14], [12], [9], [6], [-2], [-3], [18], [5], [-6], [15], [22], [6], [-12], [-6], [-15], [-2], [12], [6], [-3], [20], [-23], [9], [12], [-9], [-21], [9], [30], [-12], [3], [-24], [0], [-15], [8], [30], [4], [-9], [18], [18], [-19], [-18], [30], [13], [-33], [21], [-6], [-24], [-8], [-4], [-6], [9], [30], [18], [-30], [-6], [15], [-15], [-15], [-11], [10], [21], [-24], [-18], [-15], [-24], [-12], [-39], [12], [-27], [-36], [6], [-6], [27], [16], [15], [37], [-27], [39], [-45], [23], [42], [-18], [36], [-30], [37], [22], [-6], [12], [-24], [15], [18], [-36], [-42], [36], [0], [-30], [-1], [-18], [6], [0], [-42], [6], [0], [28], [9], [36], [39], [-32], [2], [30], [24], [-21], [-12], [18], [15], [0], [45], [14], [18], [20], [-24], [-39], [18], [40], [39], [-3], [33], [-11], [12], [-17], [12], [-20], [-36], [2], [-45], [48], [9], [-3], [27], [12], [-9], [2], [-8], [6], [-36], [24], [-45], [-12], [24], [40], [-45], [0], [-30], [-16], [10], [-12], [-12], [-4], [42], [-24], [-30], [38], [-6], [-24], [0], [-29], [24], [47], [30], [-27], [54], [60], [-26], [-42], [-54], [21], [62], [57], [-55], [-24], [42], [39], [36], [24], [23], [-2], [12], [26], [-42], [39], [-30], [32], [-63], [72], [21], [32], [-9], [-36], [9], [-27], [10], [-39], [30], [-62], [-60], [14], [20], [0], [3], [1], [27], [66], [-39], [60], [12], [-66], [-7], [-4], [39], [-36], [30], [33], [60], [-36], [-6], [63], [0], [-27], [35], [66], [-24], [-38], [-18], [-42], [-18], [64], [-33], [-21], [16], [48], [-35], [9], [30], [36], [-36], [-22], [42], [36], [-50], [-58], [24], [-78], [-54], [0], [63], [6], [-45], [-48], [-30], [-42], [78], [11], [-3], [21], [-30], [-48], [-33], [-36], [0], [-44], [-60], [-28], [-36], [15], [-12], [-31], [3], [-20], [36], [-13], [-18], [3], [-40], [36], [-56], [6], [-81], [27], [-4], [-87], [25], [54], [60], [36], [30], [28], [-48], [42], [81], [-24], [-38], [36], [-36], [18], [6], [30], [-48], [10], [-54], [0], [72], [66], [-24], [-90], [-52], [-21], [57], [21], [-62], [9], [-75], [-38], [18], [-45], [-12], [-30], [-12], [-15], [64], [-40], [6], [-69], [-60], [33], [69], [-78], [-42], [12], [-6], [-52], [-89], [-27], [96], [-47], [27], [-65], [-9], [30], [-68], [52], [24], [18], [-66], [90], [-82], [90], [-84], [-12], [12], [6], [-9], [45], [58], [-6], [-18], [-54], [69], [-54], [-73], [-75], [-49], [-21], [-15], [-68], [-75], [9], [54], [-27], [18], [-9], [-38], [-3], [60], [-24], [-84], [-1], [-78], [81], [73], [23], [42], [-21], [-28], [-12], [54], [30], [-18], [-48], [-45], [54], [-18], [39], [24], [0], [60]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425156354, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8450.2.a.h', 'level': 8450, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [24, 33, 34, 31, 35, 24, 27, 37], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [20, 21, 21, 21, 21, 21, 21, 21], 'ALdims_old': [129, 134, 132, 123, 128, 133, 129, 128], 'Nk2': 33800, 'analytic_conductor': 67.47358970798193, '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': [8450, 1, [677, 3551], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1281, 'dim': 245, 'eis_dim': 167, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 17, 31], 'hecke_orbit_code': 33562882, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], 'label': '8450.2.a', 'level': 8450, '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, 13], 'level_radical': 130, 'mf_dim': 1448, 'mf_new_dim': 245, 'num_forms': 79, 'plus_dim': 106, 'prim_orbit_index': 1, 'relative_dim': 245, 'sturm_bound': 2730, 'trace_bound': 17, 'trace_display': [1, -2, 0, -8], 'traces': [245, 1, -2, 245, 0, -2, -8, 1, 245, 0, 2, -2, 0, 0, 0, 245, -10, 5, -2, 0, -16, -6, 8, -2, 0, 0, -8, -8, -8, 0, -20, 1, 20, 4, 0, 245, 2, -2, 0, 0, 8, -12, -10, 2, 0, -8, 0, -2, 225, 0, 70, 0, 28, -2, 0, 0, -8, 2, 36, 0, -16, 0, 0, 245, 0, 14, 0, -10, 72, 0, 24, 5, 2, 8, 0, -2, 36, 0, 0, 0, 317, 22, 24, -16, 0, -8, 28, -6, 28, 0, 0, 8, -32, 16, 0, -2, 6, -7, 40, 0, -4, 4, -52, 0, 0, 18, 38, -8, -14, 0, -20, -8, -18, 14, 0, -8, 0, -2, 28, 0, 313, -18, 32, -20, 0, 28, 108, 1, 108, 0, 46, 20, 68, 12, 0, 4, -18, 36, 124, 0, 36, -12, 0, 245, 0, 0, 138, 2, 18, 0, 28, -2, -6, 40, 0, 0, 84, -20, 32, 0, 12, 17, 16, 8, 0, 32, 24, -12, 0, 0, 24, -10, -70, 28, 0, 2, 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-460, -464, 0, 0, 0, -88, 64, 0, -38, -56, 112, -56, 0, -32, 46, -20, -692, 0, -236, -8, -232, 190, 0, -42, 52, 28, -232, 0, -230, -52, 0, -84, 0, -320, -376, 2, -134, 0, -18, -132, -96, 124, 0, 0, -18, 44, -80, 0, -130, 16, -16, 36, 0, 104, -48, 120, 0, 0, -176, -32, -24, -230, 0, -16, -32, 8, -324, 0, 309, 0, 164, -112, 0, -320, 16, -75, 66, 0, -384, 34, 116, -4, 0, -16, -66, 80, 18, 0, -150, 48, -80, 74, 0, -216, -52, 0, -392, 0, 120, 0, -36, 104, 0, -70, 88, 38, -204, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1391647
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '26.2.b.a', 'target_level': 26, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1391648
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '208.2.f.a', 'target_level': 208, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '260.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1391649
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '234.2.b.b', 'target_level': 234, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1391650
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '338.2.a.b', 'target_level': 338, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1391651
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '338.2.a.d', 'target_level': 338, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1391652
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '338.2.c.b', 'target_level': 338, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1391653
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '338.2.c.f', 'target_level': 338, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1391654
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '338.2.e.c', 'target_level': 338, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1391655
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '650.2.c.a', 'target_level': 650, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1391656
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '650.2.c.d', 'target_level': 650, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1391657
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '650.2.d.b', 'target_level': 650, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1391658
{'conductor': 520, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '832.2.f.b', 'target_level': 832, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '520.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1391659
{'conductor': 520, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '832.2.f.d', 'target_level': 832, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '520.bo', 'twisting_char_orbit': 41, 'weight': 2}
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id: 1391660
{'conductor': 455, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1274.2.d.c', 'target_level': 1274, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '455.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1391661
{'conductor': 455, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1274.2.n.c', 'target_level': 1274, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '455.co', 'twisting_char_orbit': 67, 'weight': 2}
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id: 1391662
{'conductor': 455, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1274.2.n.d', 'target_level': 1274, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '455.di', 'twisting_char_orbit': 87, 'weight': 2}
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id: 1391663
{'conductor': 780, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1872.2.c.f', 'target_level': 1872, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '780.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 1391664
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2704.2.a.j', 'target_level': 2704, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1391665
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2704.2.a.k', 'target_level': 2704, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1391666
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3042.2.a.g', 'target_level': 3042, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1391667
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3042.2.a.j', 'target_level': 3042, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1391668
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '8450.2.a.h', 'target_level': 8450, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1391669
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '8450.2.a.h', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '8450.2.a.u', 'target_level': 8450, 'twist_class_label': '26.2.b.a', 'twist_class_level': 26, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4757425
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 2}
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id: 4757426
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 3}
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id: 4757427
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 5}
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id: 4757428
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 7}
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id: 4757429
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 11}
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id: 4757430
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 13}
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id: 4757431
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 17}
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id: 4757432
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 19}
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id: 4757433
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 23}
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id: 4757434
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 29}
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id: 4757435
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 31}
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id: 4757436
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 37}
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id: 4757437
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 41}
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id: 4757438
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 43}
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id: 4757439
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 47}
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id: 4757440
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 53}
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id: 4757441
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 59}
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id: 4757442
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 61}
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id: 4757443
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 67}
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id: 4757444
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 71}
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id: 4757445
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 73}
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id: 4757446
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 79}
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id: 4757447
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 83}
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id: 4757448
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 89}
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id: 4757449
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 31525197425156354, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '8450.2.a.h', 'level': 8450, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 48924001
{'hecke_orbit_code': 31525197425156354, 'n': 1, 'trace_an': 1}
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id: 48924002
{'hecke_orbit_code': 31525197425156354, 'n': 2, 'trace_an': -1}
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id: 48924003
{'hecke_orbit_code': 31525197425156354, 'n': 3, 'trace_an': 1}
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id: 48924004
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{'hecke_orbit_code': 31525197425156354, 'n': 683, 'trace_an': 6}
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id: 48924212
{'hecke_orbit_code': 31525197425156354, 'n': 691, 'trace_an': 0}
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id: 48924213
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id: 48924214
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id: 48924215
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id: 48924216
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id: 48924217
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id: 48924218
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id: 48924219
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id: 48924220
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id: 48924221
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id: 48924222
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id: 48924223
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id: 48924224
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id: 48924225
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id: 48924226
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id: 48924227
{'hecke_orbit_code': 31525197425156354, 'n': 797, 'trace_an': 18}
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id: 48924228
{'hecke_orbit_code': 31525197425156354, 'n': 809, 'trace_an': 15}
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id: 48924229
{'hecke_orbit_code': 31525197425156354, 'n': 811, 'trace_an': 0}
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id: 48924230
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id: 48924231
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id: 48924232
{'hecke_orbit_code': 31525197425156354, 'n': 827, 'trace_an': 18}
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id: 48924233
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id: 48924234
{'hecke_orbit_code': 31525197425156354, 'n': 839, 'trace_an': -24}
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id: 48924235
{'hecke_orbit_code': 31525197425156354, 'n': 841, 'trace_an': -29}
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id: 48924236
{'hecke_orbit_code': 31525197425156354, 'n': 853, 'trace_an': -39}
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id: 48924237
{'hecke_orbit_code': 31525197425156354, 'n': 857, 'trace_an': 18}
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id: 48924238
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id: 48924239
{'hecke_orbit_code': 31525197425156354, 'n': 863, 'trace_an': 39}
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id: 48924240
{'hecke_orbit_code': 31525197425156354, 'n': 877, 'trace_an': -3}
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id: 48924241
{'hecke_orbit_code': 31525197425156354, 'n': 881, 'trace_an': 33}
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id: 48924242
{'hecke_orbit_code': 31525197425156354, 'n': 883, 'trace_an': -11}
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id: 48924243
{'hecke_orbit_code': 31525197425156354, 'n': 887, 'trace_an': 12}
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id: 48924244
{'hecke_orbit_code': 31525197425156354, 'n': 907, 'trace_an': -17}
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id: 48924245
{'hecke_orbit_code': 31525197425156354, 'n': 911, 'trace_an': 12}
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id: 48924246
{'hecke_orbit_code': 31525197425156354, 'n': 919, 'trace_an': -20}
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id: 48924247
{'hecke_orbit_code': 31525197425156354, 'n': 929, 'trace_an': -36}
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id: 48924248
{'hecke_orbit_code': 31525197425156354, 'n': 937, 'trace_an': 2}
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id: 48924249
{'hecke_orbit_code': 31525197425156354, 'n': 941, 'trace_an': -45}
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id: 48924250
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id: 48924251
{'hecke_orbit_code': 31525197425156354, 'n': 953, 'trace_an': 9}
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id: 48924252
{'hecke_orbit_code': 31525197425156354, 'n': 961, 'trace_an': -31}
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id: 48924253
{'hecke_orbit_code': 31525197425156354, 'n': 967, 'trace_an': -3}
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id: 48924254
{'hecke_orbit_code': 31525197425156354, 'n': 971, 'trace_an': 27}
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id: 48924255
{'hecke_orbit_code': 31525197425156354, 'n': 977, 'trace_an': 12}
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id: 48924256
{'hecke_orbit_code': 31525197425156354, 'n': 983, 'trace_an': -9}
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id: 48924257
{'hecke_orbit_code': 31525197425156354, 'n': 991, 'trace_an': 2}
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id: 48924258
{'hecke_orbit_code': 31525197425156354, 'n': 997, 'trace_an': -8}