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{'Nk2': 32448, 'analytic_conductor': 64.77464611966265, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [13, 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': [8112, 1, [5071, 6085, 2705, 3889], [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': [[5, [-2, 1]], [7, [1, 1]], [11, [2, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227306928, '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': '8112.2.a.bd', 'level': 8112, '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, 3, 13], 'level_radical': 78, 'minimal_twist': '156.2.i.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/8112/bd'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8112.2.a', 'trace_display': [0, 1, 2, -1], 'trace_hash': 482486120094977572, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.954', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.014', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [2], [0], [-1], [0], [1], [0], [-2], [0], [0], [0], [2], [0], [-4], [0], [-4], [0], [-1], [0], [-6], [0], [-1], [0], [1], [0], [6], [0], [1], [0], [-2], [0], [-2], [0], [10], [0], [0], [0], [-4], [0], [-1], [0], [2], [0], [10], [0], [-6], [0], [-4], [0], [8], [0], [-4], [0], [-4], [0], [2], [0], [-5], [0], [-1], [0], [0], [0], [7], [0], [-6], [0], [-10], [0], [-7], [0], [-1], [0], [2], [0], [-17], [0], [1], [0], [-12], [0], [-8], [0], [6], [0], [-16], [0], [0], [0], [1], [0], [-8], [0], [13], [0], [-2], [0]], 'ap': [[0], [1], [2], [-1], [-2], [0], [-4], [-4], [-6], [6], [1], [10], [-4], [-1], [10], [8], [2], [-5], [7], [-10], [-7], [-17], [-12], [-16], [13], [-2], [-13], [-18], [-11], [18], [-9], [-10], [8], [-3], [0], [0], [-1], [7], [-12], [-10], [0], [-10], [-22], [-17], [12], [5], [27], [16], [28], [22], [-6], [-24], [-14], [-16], [24], [-8], [-20], [-11], [-2], [-2], [-5], [26], [11], [24], [-21], [-12], [25], [-3], [-12], [-9], [14], [24], [5], [-33], [-9], [12], [-8], [3], [-36], [-19], [20], [-11], [32], [-9], [-1], [16], [30], [-3], [12], [-19], [-26], [4], [20], [18], [24], [2], [30], [-8], [20], [29], [-35], [-12], [26], [42], [44], [6], [-10], [-6], [6], [26], [-8], [-17], [-42], [13], [-9], [2], [31], [-6], [-4], [-12], [19], [7], [8], [46], [5], [28], [-15], [18], [-41], [-35], [20], [-6], [16], [-18], [-8], [14], [6], [-49], [-8], [32], [-51], [-30], [-32], [20], [-11], [22], [-53], [54], [35], [26], [-38], [-40], [-19], [18], [-52], [20], [16], [28], [38], [-22], [-20], [6], [-4], [-20], [-24], [30], [-48], [7], [-35], [62], [36], [-54], [2], [33], [32], [6], [-17], [38], [9], [31], [8], [46], [-31], [-6], [-42], [10], [25], [-4], [-35], [60], [61], [-24], [-17], [62], [2], [-24], [51], [-15], [-18], [-2], [-48], [-63], [13], [65], [-10], [-40], [31], [4], [60], [4], [31], [-36], [-49], [42], [-8], [-54], [57], [-18], [-10], [-16], [-63], [-49], [-44], [-17], [-12], [31], [-14], [36], [-37], [-48], [9], [-21], [-32], [30], [-37], [30], [49], [18], [-28], [30], [-32], [56], [0], [-17], [-46], [-60], [-3], [42], [39], [72], [-55], [-22], [-46], [-43], [-18], [-18], [-18], [-32], [36], [-70], [20], [0], [37], [-1], [48], [39], [-54], [54], [-20], [24], [-41], [81], [10], [-12], [-47], [-48], [-78], [58], [11], [-36], [66], [64], [38], [7], [-68], [78], [-15], [-74], [-71], [30], [-32], [-58], [4], [78], [-37], [24], [-16], [-30], [54], [-41], [59], [42], [-80], [-6], [7], [65], [-6], [-58], [66], [50], [40], [-34], [-48], [61], [-78], [-11], [12], [-54], [-19], [-26], [5], [-9], [12], [37], [6], [25], [53], [-44], [-14], [-6], [18], [-26], [41], [-4], [89], [-38], [-13], [-10], [-62], [41], [-38], [12], [-54], [19], [-18], [-50], [-43], [32], [-58], [92], [-21], [22], [-24], [-29], [-30], [48], [-48], [-12], [36], [-12], [70], [80], [-54], [-34], [-19], [91], [72], [61], [-50], [-64], [81], [86], [64], [88], [-10], [0], [-12], [7], [90], [-95], [-24], [-2], [8], [-14], [-51], [-4], [-72], [33], [39], [14], [-62], [-78], [-40], [-88], [32], [-19], [-80], [14], [-20], [-4], [-21], [-26], [-3], [34], [0], [-15], [-39], [24], [-77], [-28], [39], [-12], [-98], [0], [33], [52], [-40], [-99], [-68], [-72], [10], [-1], [88], [-68], [-45], [14], [-50], [48], [25], [-30]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 130604389227306928, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8112.2.a.bd', 'level': 8112, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [18, 21, 23, 15, 18, 21, 18, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [20, 21, 21, 21, 21, 21, 21, 21], 'ALdims_old': [151, 153, 152, 154, 157, 148, 150, 153], 'Nk2': 32448, 'analytic_conductor': 64.77464611966265, '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': [8112, 1, [5071, 6085, 2705, 3889], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1373, 'dim': 155, 'eis_dim': 167, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33562544, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6], 'label': '8112.2.a', 'level': 8112, '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, 3, 13], 'level_radical': 78, 'mf_dim': 1540, 'mf_new_dim': 155, 'num_forms': 75, 'plus_dim': 72, 'prim_orbit_index': 1, 'relative_dim': 155, 'sturm_bound': 2912, 'trace_bound': 17, 'trace_display': [0, -1, 2, -4], 'traces': [155, 0, -1, 0, 2, 0, -4, 0, 155, 0, -4, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 8, 0, 149, 0, -1, 0, 10, 0, -12, 0, -4, 0, 0, 0, 10, 0, 0, 0, 6, 0, -4, 0, 2, 0, -24, 0, 155, 0, -10, 0, 18, 0, 16, 0, -4, 0, 4, 0, 18, 0, -4, 0, 0, 0, -24, 0, 8, 0, 24, 0, -18, 0, 1, 0, 16, 0, -24, 0, 155, 0, 44, 0, 4, 0, -6, 0, 6, 0, 0, 0, -8, 0, -16, 0, 6, 0, -4, 0, 18, 0, 40, 0, 0, 0, -20, 0, 18, 0, -22, 0, 14, 0, 0, 0, 0, 0, 72, 0, 191, 0, 18, 0, 36, 0, -24, 0, 4, 0, 44, 0, 16, 0, -2, 0, 6, 0, 4, 0, 0, 0, 0, 0, -20, 0, -25, 0, 34, 0, -12, 0, -2, 0, -72, 0, -30, 0, 18, 0, 0, 0, 40, 0, -24, 0, 16, 0, 0, 0, 0, 0, 26, 0, -60, 0, 12, 0, 28, 0, -6, 0, 2, 0, -52, 0, 24, 0, 0, 0, -8, 0, 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-166, 0, -22, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1378228
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '156.2.i.a', 'target_level': 156, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1378229
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '468.2.l.b', 'target_level': 468, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1378230
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '624.2.q.d', 'target_level': 624, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1378231
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1872.2.t.e', 'target_level': 1872, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1378232
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2028.2.a.a', 'target_level': 2028, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378233
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2028.2.a.b', 'target_level': 2028, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378234
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2028.2.b.c', 'target_level': 2028, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1378235
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2028.2.i.f', 'target_level': 2028, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1378236
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2028.2.q.g', 'target_level': 2028, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1378237
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3900.2.q.e', 'target_level': 3900, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '260.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1378238
{'conductor': 260, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3900.2.by.c', 'target_level': 3900, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '260.bj', 'twisting_char_orbit': 36, 'weight': 2}
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id: 1378239
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '6084.2.a.e', 'target_level': 6084, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378240
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '6084.2.a.l', 'target_level': 6084, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1378241
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '6084.2.b.b', 'target_level': 6084, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1378242
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '8112.2.a.u', 'target_level': 8112, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378243
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '8112.2.a.bd', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '8112.2.a.bd', 'target_level': 8112, 'twist_class_label': '156.2.i.a', 'twist_class_level': 156, '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: 4663375
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 2}
-
id: 4663376
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 3}
-
id: 4663377
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 5}
-
id: 4663378
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 7}
-
id: 4663379
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 11}
-
id: 4663380
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 13}
-
id: 4663381
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 17}
-
id: 4663382
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 19}
-
id: 4663383
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 23}
-
id: 4663384
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 29}
-
id: 4663385
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 31}
-
id: 4663386
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 37}
-
id: 4663387
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 41}
-
id: 4663388
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 43}
-
id: 4663389
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 47}
-
id: 4663390
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 53}
-
id: 4663391
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 59}
-
id: 4663392
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 61}
-
id: 4663393
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 67}
-
id: 4663394
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 71}
-
id: 4663395
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 73}
-
id: 4663396
{'charpoly_factorization': [[[17, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 79}
-
id: 4663397
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 83}
-
id: 4663398
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 89}
-
id: 4663399
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 130604389227306928, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '8112.2.a.bd', 'level': 8112, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68357077
{'hecke_orbit_code': 130604389227306928, 'n': 1, 'trace_an': 1}
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id: 68357078
{'hecke_orbit_code': 130604389227306928, 'n': 2, 'trace_an': 0}
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id: 68357079
{'hecke_orbit_code': 130604389227306928, 'n': 3, 'trace_an': 1}
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id: 68357080
{'hecke_orbit_code': 130604389227306928, 'n': 4, 'trace_an': 0}
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id: 68357081
{'hecke_orbit_code': 130604389227306928, 'n': 5, 'trace_an': 2}
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id: 68357082
{'hecke_orbit_code': 130604389227306928, 'n': 6, 'trace_an': 0}
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id: 68357083
{'hecke_orbit_code': 130604389227306928, 'n': 7, 'trace_an': -1}
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id: 68357084
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id: 68357334
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