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{'Nk2': 20736, 'analytic_conductor': 41.39444840783175, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -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': [5184, 1, [2431, 325, 1217], [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': [[5, [0, 1]], [7, [2, 1]], [11, [-3, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444117056, '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': '5184.2.a.p', 'level': 5184, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '18.2.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{7}+3q^{11}-2q^{13}+3q^{17}-q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/5184/p'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5184.2.a', 'trace_display': [0, 0, 0, -2], 'trace_hash': 1928902019112915747, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.991', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [3], [0], [-2], [0], [0], [0], [3], [0], [-1], [0], [0], [0], [-6], [0], [-5], [0], [0], [0], [6], [0], [4], [0], [0], [0], [0], [0], [4], [0], [0], [0], [-9], [0], [-1], [0], [0], [0], [-6], [0], [-3], [0], [0], [0], [12], [0], [0], [0], [0], [0], [-3], [0], [-8], [0], [0], [0], [0], [0], [5], [0], [0], [0], [-12], [0], [11], [0], [0], [0], [-6], [0], [4], [0], [0], [0], [-12], [0], [0], [0], [0], [0], [-6], [0], [4], [0], [0], [0], [0], [0], [5], [0], [0], [0]], 'ap': [[0], [0], [0], [-2], [3], [-2], [3], [-1], [-6], [6], [4], [4], [-9], [-1], [-6], [12], [-3], [-8], [5], [-12], [11], [4], [-12], [-6], [5], [0], [-14], [-3], [16], [-6], [-2], [0], [3], [-19], [-6], [10], [4], [-4], [-12], [-6], [-12], [-14], [-18], [5], [-12], [10], [20], [-26], [-21], [-14], [-3], [6], [-7], [-21], [21], [18], [-24], [-20], [10], [-6], [-4], [30], [-7], [-18], [29], [-18], [-4], [-1], [-33], [16], [21], [-18], [28], [34], [23], [0], [18], [-20], [27], [17], [12], [-20], [-30], [-7], [-8], [-3], [-9], [17], [-30], [-20], [15], [-42], [-26], [15], [-13], [0], [0], [3], [20], [4], [-1], [-30], [39], [-45], [-37], [11], [9], [-6], [12], [-37], [28], [16], [-27], [35], [40], [3], [23], [18], [-6], [36], [4], [-22], [36], [9], [8], [30], [4], [-36], [-26], [-14], [47], [6], [-8], [-2], [-42], [2], [18], [-4], [-12], [-33], [-7], [-18], [16], [12], [10], [12], [-26], [42], [35], [24], [-8], [42], [-19], [0], [-31], [48], [-38], [6], [14], [-60], [-3], [-9], [22], [36], [51], [0], [16], [28], [2], [0], [3], [40], [36], [11], [-38], [-30], [-1], [54], [28], [-8], [-38], [9], [22], [-27], [54], [0], [16], [56], [29], [60], [-1], [15], [59], [36], [-33], [-3], [47], [4], [9], [6], [-30], [58], [-56], [35], [-21], [-66], [64], [27], [-27], [17], [-67], [30], [-62], [-36], [24], [-55], [-68], [-21], [66], [48], [34], [40], [27], [-38], [-51], [22], [6], [12], [34], [-24], [-26], [-52], [22], [9], [-16], [42], [-70], [-18], [57], [-42], [45], [20], [4], [-38], [33], [-48], [28], [-45], [68], [-54], [22], [-27], [12], [26], [-42], [39], [16], [-28], [0], [-43], [-32], [15], [4], [-14], [18], [-55], [-12], [-75], [41], [-30], [28], [68], [35], [-50], [23], [-20], [-36], [10], [-25], [27], [-18], [58], [-30], [-26], [-49], [-18], [26], [48], [28], [-63], [-24], [-39], [69], [-51], [64], [66], [-50], [54], [36], [68], [-7], [-18], [16], [36], [8], [2], [-60], [40], [-6], [-80], [-48], [-72], [-66], [-16], [-12], [11], [-33], [12], [-37], [-6], [35], [29], [84], [-2], [-18], [41], [-25], [71], [-60], [30], [-80], [12], [16], [-21], [47], [-84], [-2], [-63], [23], [-20], [-32], [-6], [-12], [-20], [-18], [33], [52], [17], [-72], [-78], [-28], [89], [-78], [28], [76], [42], [-84], [-60], [6], [6], [22], [-15], [-72], [-45], [53], [-25], [-72], [-26], [-19], [-60], [-85], [36], [-36], [-38], [46], [-87], [-54], [-10], [-69], [26], [42], [15], [40], [45], [65], [60], [10], [-80], [80], [-12], [-1], [36], [-33], [-97], [66], [-58], [-32], [51], [41], [-72], [-14], [39], [76], [-42], [18], [-20], [94], [-69], [59], [-36], [71], [-102], [33], [17], [62], [6], [66], [-14], [-21], [0], [60], [-20], [-36], [-51], [-70], [-60], [39], [54], [-52], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 67553994444117056, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5184.2.a.p', 'level': 5184, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [21, 25, 25, 21], 'Nk2': 20736, 'analytic_conductor': 41.39444840783175, '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': [5184, 1, [2431, 325, 1217], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 793, 'dim': 92, 'eis_dim': 143, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33559616, '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, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '5184.2.a', 'level': 5184, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 936, 'mf_new_dim': 100, 'num_forms': 58, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 92, 'sturm_bound': 1728, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -388, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -548, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -388, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1245472
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '18.2.c.a', 'target_level': 18, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1245473
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '54.2.c.a', 'target_level': 54, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1245474
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '144.2.i.c', 'target_level': 144, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1245475
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.2.a.b', 'target_level': 162, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1245476
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '162.2.a.c', 'target_level': 162, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1245477
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.2.i.b', 'target_level': 432, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1245478
{'conductor': 360, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '450.2.e.i', 'target_level': 450, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '360.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 1245479
{'conductor': 360, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '450.2.j.e', 'target_level': 450, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '360.bt', 'twisting_char_orbit': 46, 'weight': 2}
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id: 1245480
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.2.i.a', 'target_level': 576, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1245481
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '576.2.i.g', 'target_level': 576, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1245482
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '882.2.e.g', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.cm', 'twisting_char_orbit': 65, 'weight': 2}
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id: 1245483
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '882.2.e.i', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.bt', 'twisting_char_orbit': 46, 'weight': 2}
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id: 1245484
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '882.2.f.d', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.co', 'twisting_char_orbit': 67, 'weight': 2}
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id: 1245485
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '882.2.h.b', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1245486
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '882.2.h.c', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.cy', 'twisting_char_orbit': 77, 'weight': 2}
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id: 1245487
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1296.2.a.f', 'target_level': 1296, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245488
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1296.2.a.g', 'target_level': 1296, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1245489
{'conductor': 360, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1350.2.e.c', 'target_level': 1350, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '360.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 1245490
{'conductor': 360, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1350.2.j.a', 'target_level': 1350, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '360.bo', 'twisting_char_orbit': 41, 'weight': 2}
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id: 1245491
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1728.2.i.e', 'target_level': 1728, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1245492
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1728.2.i.f', 'target_level': 1728, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1245493
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2646.2.e.b', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.ce', 'twisting_char_orbit': 57, 'weight': 2}
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id: 1245494
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2646.2.e.c', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 1245495
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2646.2.f.g', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.be', 'twisting_char_orbit': 31, 'weight': 2}
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id: 1245496
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2646.2.h.h', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 1245497
{'conductor': 504, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2646.2.h.i', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '504.cz', 'twisting_char_orbit': 78, 'weight': 2}
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id: 1245498
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4050.2.a.c', 'target_level': 4050, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1245499
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '4050.2.a.v', 'target_level': 4050, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1245500
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4050.2.c.c', 'target_level': 4050, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1245501
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4050.2.c.r', 'target_level': 4050, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1245502
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5184.2.a.o', 'target_level': 5184, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245503
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5184.2.a.p', 'target_level': 5184, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1245504
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '5184.2.a.q', 'target_level': 5184, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245505
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '5184.2.a.r', 'target_level': 5184, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245506
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '7938.2.a.i', 'target_level': 7938, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1245507
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '5184.2.a.p', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '7938.2.a.x', 'target_level': 7938, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3821750
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 2}
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id: 3821751
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 3}
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id: 3821752
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 5}
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id: 3821753
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 7}
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id: 3821754
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 11}
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id: 3821755
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 13}
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id: 3821756
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 17}
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id: 3821757
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 19}
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id: 3821758
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 23}
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id: 3821759
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 29}
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id: 3821760
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 31}
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id: 3821761
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 37}
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id: 3821762
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 41}
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id: 3821763
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 43}
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id: 3821764
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 47}
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id: 3821765
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 53}
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id: 3821766
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 59}
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id: 3821767
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 61}
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id: 3821768
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 67}
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id: 3821769
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 71}
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id: 3821770
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 73}
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id: 3821771
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 79}
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id: 3821772
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 83}
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id: 3821773
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 89}
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id: 3821774
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 67553994444117056, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '5184.2.a.p', 'level': 5184, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 60647521
{'hecke_orbit_code': 67553994444117056, 'n': 1, 'trace_an': 1}
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id: 60647522
{'hecke_orbit_code': 67553994444117056, 'n': 2, 'trace_an': 0}
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id: 60647523
{'hecke_orbit_code': 67553994444117056, 'n': 3, 'trace_an': 0}
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id: 60647524
{'hecke_orbit_code': 67553994444117056, 'n': 4, 'trace_an': 0}
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id: 60647525
{'hecke_orbit_code': 67553994444117056, 'n': 5, 'trace_an': 0}
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id: 60647526
{'hecke_orbit_code': 67553994444117056, 'n': 6, 'trace_an': 0}
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