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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, [-4, 1]], [11, [6, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934638000, '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.l', '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.b.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+2q^{5}+4q^{7}+q^{9}-6q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/8112/l'], '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, 4], 'trace_hash': 427341228348985333, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.033', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 0, -1, 0, 2, 0, 4, 0, 1, 0, -6, 0, 0, 0, -2, 0, 2, 0, 0, 0, -4, 0, -8, 0, -1, 0, -1, 0, 2, 0, 8, 0, 6, 0, 8, 0, -8, 0, 0, 0, -2, 0, -8, 0, 2, 0, -6, 0, 9, 0, -2, 0, 6, 0, -12, 0, 0, 0, -2, 0, 2, 0, 4, 0, 0, 0, -4, 0, 8, 0, -6, 0, 4, 0, 1, 0, -24, 0, 0, 0, 1, 0, -14, 0, 4, 0, -2, 0, -6, 0, 0, 0, -8, 0, 0, 0, -12, 0, -6, 0, 10, 0, -4, 0, -8, 0, -20, 0, 4, 0, 8, 0, -10, 0, -16, 0, 0, 0, 8, 0, 25, 0, 2, 0, -12, 0, 8, 0, 8, 0, -4, 0, 0, 0, -2, 0, -10, 0, 8, 0, 6, 0, 0, 0, 4, 0, -9, 0, -10, 0, 16, 0, 2, 0, 16, 0, -14, 0, -6, 0, -32, 0, -8, 0, 12, 0, 18, 0, 0, 0, 0, 0, -6, 0, -4, 0, 2, 0, -12, 0, -10, 0, -2, 0, -16, 0, -12, 0, -4, 0, 24, 0, 8, 0, 0, 0, 26, 0, 0, 0, 4, 0, 8, 0, -4, 0, -8, 0, 0, 0, -12, 0, 6, 0, -16, 0, 32, 0, -4, 0, 0, 0, 8, 0, -1, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [2], [0], [4], [0], [1], [0], [-6], [0], [0], [0], [-2], [0], [2], [0], [0], [0], [-4], [0], [-8], [0], [-1], [0], [-1], [0], [2], [0], [8], [0], [6], [0], [8], [0], [-8], [0], [0], [0], [-2], [0], [-8], [0], [2], [0], [-6], [0], [9], [0], [-2], [0], [6], [0], [-12], [0], [0], [0], [-2], [0], [2], [0], [4], [0], [0], [0], [-4], [0], [8], [0], [-6], [0], [4], [0], [1], [0], [-24], [0], [0], [0], [1], [0], [-14], [0], [4], [0], [-2], [0], [-6], [0], [0], [0], [-8], [0], [0], [0], [-12], [0], [-6], [0]], 'ap': [[0], [-1], [2], [4], [-6], [0], [2], [0], [-8], [2], [8], [-8], [-2], [-8], [-6], [6], [-2], [2], [-4], [-6], [4], [0], [-14], [-6], [-12], [10], [-4], [-20], [4], [-10], [8], [-4], [-10], [8], [-10], [16], [-14], [-8], [18], [-6], [-12], [-10], [24], [8], [26], [0], [-12], [8], [-2], [20], [-18], [10], [-20], [20], [6], [0], [-22], [20], [-22], [22], [4], [14], [-20], [-16], [-14], [18], [28], [14], [-12], [-8], [-10], [10], [28], [6], [-16], [22], [-18], [16], [-6], [-20], [-28], [-4], [-10], [-22], [36], [-20], [-30], [4], [-6], [12], [12], [-18], [0], [20], [4], [-24], [-30], [-18], [8], [20], [8], [30], [-4], [-34], [20], [-40], [2], [34], [0], [-14], [-4], [16], [14], [-20], [-8], [42], [-36], [-32], [-14], [-20], [-32], [-30], [-18], [-6], [4], [-10], [-36], [-16], [8], [-20], [28], [-22], [20], [2], [30], [0], [-18], [44], [-10], [22], [-40], [30], [-36], [18], [54], [-10], [16], [22], [-52], [-34], [-16], [-42], [-12], [-24], [-44], [0], [24], [30], [-50], [38], [38], [54], [-8], [12], [-30], [-18], [44], [6], [4], [-22], [54], [48], [-8], [44], [60], [42], [44], [38], [-36], [14], [4], [-4], [18], [10], [18], [6], [-34], [56], [12], [26], [-2], [26], [-32], [-10], [-36], [-34], [40], [-54], [2], [0], [-54], [44], [36], [14], [-66], [38], [0], [-60], [-54], [-20], [10], [-18], [40], [-22], [-10], [40], [8], [-54], [42], [62], [6], [12], [18], [56], [-12], [10], [-38], [-56], [40], [54], [46], [-16], [44], [66], [64], [-54], [-12], [-18], [-4], [0], [-22], [68], [32], [-8], [-54], [-16], [52], [14], [16], [8], [-60], [6], [62], [-26], [42], [-78], [14], [-32], [22], [56], [0], [-12], [-4], [14], [42], [-68], [-62], [-10], [-4], [34], [-2], [-20], [-76], [-76], [34], [-28], [-82], [64], [-32], [36], [16], [-76], [32], [-40], [-76], [8], [30], [-2], [-40], [-50], [-18], [-52], [66], [6], [-78], [46], [-36], [30], [76], [-84], [54], [-6], [44], [4], [64], [44], [-12], [-50], [6], [-38], [-64], [-46], [30], [12], [-14], [74], [6], [38], [44], [18], [-32], [-32], [-90], [64], [-30], [-34], [56], [44], [-48], [-78], [52], [34], [8], [74], [0], [18], [32], [78], [68], [12], [8], [-34], [54], [20], [18], [52], [-34], [-8], [-54], [-10], [-4], [-60], [-34], [48], [86], [-42], [-30], [70], [46], [-58], [24], [-54], [24], [70], [-24], [-26], [-38], [-96], [-38], [36], [-8], [-14], [-42], [-32], [30], [-70], [40], [24], [34], [10], [38], [-26], [20], [66], [24], [6], [-60], [-50], [-72], [88], [-44], [-42], [-30], [4], [18], [22], [20], [-78], [-44], [-6], [16], [18], [-20], [-70], [50], [32], [60], [10], [52], [-30], [62], [94], [4], [-32], [38], [38], [90], [96], [-22], [-48], [74], [8], [-30], [84], [-32], [-18], [60], [10], [-24], [72]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934638000, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8112.2.a.l', '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: 1377971
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '156.2.b.b', 'target_level': 156, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1377972
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '468.2.b.c', 'target_level': 468, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377973
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '624.2.c.d', 'target_level': 624, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1377974
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1872.2.c.h', 'target_level': 1872, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1377975
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2028.2.a.d', 'target_level': 2028, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377976
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2028.2.a.f', 'target_level': 2028, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377977
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2028.2.i.a', 'target_level': 2028, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1377978
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2028.2.i.d', 'target_level': 2028, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1377979
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2028.2.q.e', 'target_level': 2028, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377980
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2496.2.c.b', 'target_level': 2496, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '104.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1377981
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2496.2.c.i', 'target_level': 2496, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '104.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1377982
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3900.2.c.a', 'target_level': 3900, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '260.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1377983
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3900.2.j.b', 'target_level': 3900, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '260.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377984
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3900.2.j.e', 'target_level': 3900, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '260.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1377985
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '6084.2.a.d', 'target_level': 6084, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377986
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '6084.2.a.n', 'target_level': 6084, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1377987
{'conductor': 364, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7644.2.e.b', 'target_level': 7644, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '364.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1377988
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '8112.2.a.d', 'target_level': 8112, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377989
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '8112.2.a.l', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '8112.2.a.l', 'target_level': 8112, 'twist_class_label': '156.2.b.b', 'twist_class_level': 156, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4662850
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 2}
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id: 4662851
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 3}
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id: 4662852
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 5}
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id: 4662853
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 7}
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id: 4662854
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 11}
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id: 4662855
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 13}
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id: 4662856
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 17}
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id: 4662857
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 19}
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id: 4662858
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 23}
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id: 4662859
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 29}
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id: 4662860
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 31}
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id: 4662861
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 37}
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id: 4662862
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 41}
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id: 4662863
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 43}
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id: 4662864
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 47}
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id: 4662865
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 53}
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id: 4662866
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 59}
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id: 4662867
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 61}
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id: 4662868
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 67}
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id: 4662869
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 71}
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id: 4662870
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 73}
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id: 4662871
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 79}
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id: 4662872
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 83}
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id: 4662873
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 89}
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id: 4662874
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 49539595934638000, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '8112.2.a.l', 'level': 8112, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 56390263
{'hecke_orbit_code': 49539595934638000, 'n': 1, 'trace_an': 1}
-
id: 56390264
{'hecke_orbit_code': 49539595934638000, 'n': 2, 'trace_an': 0}
-
id: 56390265
{'hecke_orbit_code': 49539595934638000, 'n': 3, 'trace_an': -1}
-
id: 56390266
{'hecke_orbit_code': 49539595934638000, 'n': 4, 'trace_an': 0}
-
id: 56390267
{'hecke_orbit_code': 49539595934638000, 'n': 5, 'trace_an': 2}
-
id: 56390268
{'hecke_orbit_code': 49539595934638000, 'n': 6, 'trace_an': 0}
-
id: 56390269
{'hecke_orbit_code': 49539595934638000, 'n': 7, 'trace_an': 4}
-
id: 56390270
{'hecke_orbit_code': 49539595934638000, 'n': 8, 'trace_an': 0}
-
id: 56390271
{'hecke_orbit_code': 49539595934638000, 'n': 9, 'trace_an': 1}
-
id: 56390272
{'hecke_orbit_code': 49539595934638000, 'n': 10, 'trace_an': 0}
-
id: 56390273
{'hecke_orbit_code': 49539595934638000, 'n': 11, 'trace_an': -6}
-
id: 56390274
{'hecke_orbit_code': 49539595934638000, 'n': 12, 'trace_an': 0}
-
id: 56390275
{'hecke_orbit_code': 49539595934638000, 'n': 13, 'trace_an': 0}
-
id: 56390276
{'hecke_orbit_code': 49539595934638000, 'n': 14, 'trace_an': 0}
-
id: 56390277
{'hecke_orbit_code': 49539595934638000, 'n': 15, 'trace_an': -2}
-
id: 56390278
{'hecke_orbit_code': 49539595934638000, 'n': 16, 'trace_an': 0}
-
id: 56390279
{'hecke_orbit_code': 49539595934638000, 'n': 17, 'trace_an': 2}
-
id: 56390280
{'hecke_orbit_code': 49539595934638000, 'n': 18, 'trace_an': 0}
-
id: 56390281
{'hecke_orbit_code': 49539595934638000, 'n': 19, 'trace_an': 0}
-
id: 56390282
{'hecke_orbit_code': 49539595934638000, 'n': 20, 'trace_an': 0}
-
id: 56390283
{'hecke_orbit_code': 49539595934638000, 'n': 21, 'trace_an': -4}
-
id: 56390284
{'hecke_orbit_code': 49539595934638000, 'n': 22, 'trace_an': 0}
-
id: 56390285
{'hecke_orbit_code': 49539595934638000, 'n': 23, 'trace_an': -8}
-
id: 56390286
{'hecke_orbit_code': 49539595934638000, 'n': 24, 'trace_an': 0}
-
id: 56390287
{'hecke_orbit_code': 49539595934638000, 'n': 25, 'trace_an': -1}
-
id: 56390288
{'hecke_orbit_code': 49539595934638000, 'n': 26, 'trace_an': 0}
-
id: 56390289
{'hecke_orbit_code': 49539595934638000, 'n': 27, 'trace_an': -1}
-
id: 56390290
{'hecke_orbit_code': 49539595934638000, 'n': 28, 'trace_an': 0}
-
id: 56390291
{'hecke_orbit_code': 49539595934638000, 'n': 29, 'trace_an': 2}
-
id: 56390292
{'hecke_orbit_code': 49539595934638000, 'n': 30, 'trace_an': 0}
-
id: 56390293
{'hecke_orbit_code': 49539595934638000, 'n': 31, 'trace_an': 8}
-
id: 56390294
{'hecke_orbit_code': 49539595934638000, 'n': 32, 'trace_an': 0}
-
id: 56390295
{'hecke_orbit_code': 49539595934638000, 'n': 33, 'trace_an': 6}
-
id: 56390296
{'hecke_orbit_code': 49539595934638000, 'n': 34, 'trace_an': 0}
-
id: 56390297
{'hecke_orbit_code': 49539595934638000, 'n': 35, 'trace_an': 8}
-
id: 56390298
{'hecke_orbit_code': 49539595934638000, 'n': 36, 'trace_an': 0}
-
id: 56390299
{'hecke_orbit_code': 49539595934638000, 'n': 37, 'trace_an': -8}
-
id: 56390300
{'hecke_orbit_code': 49539595934638000, 'n': 38, 'trace_an': 0}
-
id: 56390301
{'hecke_orbit_code': 49539595934638000, 'n': 39, 'trace_an': 0}
-
id: 56390302
{'hecke_orbit_code': 49539595934638000, 'n': 40, 'trace_an': 0}
-
id: 56390303
{'hecke_orbit_code': 49539595934638000, 'n': 41, 'trace_an': -2}
-
id: 56390304
{'hecke_orbit_code': 49539595934638000, 'n': 42, 'trace_an': 0}
-
id: 56390305
{'hecke_orbit_code': 49539595934638000, 'n': 43, 'trace_an': -8}
-
id: 56390306
{'hecke_orbit_code': 49539595934638000, 'n': 44, 'trace_an': 0}
-
id: 56390307
{'hecke_orbit_code': 49539595934638000, 'n': 45, 'trace_an': 2}
-
id: 56390308
{'hecke_orbit_code': 49539595934638000, 'n': 46, 'trace_an': 0}
-
id: 56390309
{'hecke_orbit_code': 49539595934638000, 'n': 47, 'trace_an': -6}
-
id: 56390310
{'hecke_orbit_code': 49539595934638000, 'n': 48, 'trace_an': 0}
-
id: 56390311
{'hecke_orbit_code': 49539595934638000, 'n': 49, 'trace_an': 9}
-
id: 56390312
{'hecke_orbit_code': 49539595934638000, 'n': 50, 'trace_an': 0}
-
id: 56390313
{'hecke_orbit_code': 49539595934638000, 'n': 51, 'trace_an': -2}
-
id: 56390314
{'hecke_orbit_code': 49539595934638000, 'n': 52, 'trace_an': 0}
-
id: 56390315
{'hecke_orbit_code': 49539595934638000, 'n': 53, 'trace_an': 6}
-
id: 56390316
{'hecke_orbit_code': 49539595934638000, 'n': 54, 'trace_an': 0}
-
id: 56390317
{'hecke_orbit_code': 49539595934638000, 'n': 55, 'trace_an': -12}
-
id: 56390318
{'hecke_orbit_code': 49539595934638000, 'n': 56, 'trace_an': 0}
-
id: 56390319
{'hecke_orbit_code': 49539595934638000, 'n': 57, 'trace_an': 0}
-
id: 56390320
{'hecke_orbit_code': 49539595934638000, 'n': 58, 'trace_an': 0}
-
id: 56390321
{'hecke_orbit_code': 49539595934638000, 'n': 59, 'trace_an': -2}
-
id: 56390322
{'hecke_orbit_code': 49539595934638000, 'n': 60, 'trace_an': 0}
-
id: 56390323
{'hecke_orbit_code': 49539595934638000, 'n': 61, 'trace_an': 2}
-
id: 56390324
{'hecke_orbit_code': 49539595934638000, 'n': 62, 'trace_an': 0}
-
id: 56390325
{'hecke_orbit_code': 49539595934638000, 'n': 63, 'trace_an': 4}
-
id: 56390326
{'hecke_orbit_code': 49539595934638000, 'n': 64, 'trace_an': 0}
-
id: 56390327
{'hecke_orbit_code': 49539595934638000, 'n': 65, 'trace_an': 0}
-
id: 56390328
{'hecke_orbit_code': 49539595934638000, 'n': 66, 'trace_an': 0}
-
id: 56390329
{'hecke_orbit_code': 49539595934638000, 'n': 67, 'trace_an': -4}
-
id: 56390330
{'hecke_orbit_code': 49539595934638000, 'n': 68, 'trace_an': 0}
-
id: 56390331
{'hecke_orbit_code': 49539595934638000, 'n': 69, 'trace_an': 8}
-
id: 56390332
{'hecke_orbit_code': 49539595934638000, 'n': 70, 'trace_an': 0}
-
id: 56390333
{'hecke_orbit_code': 49539595934638000, 'n': 71, 'trace_an': -6}
-
id: 56390334
{'hecke_orbit_code': 49539595934638000, 'n': 72, 'trace_an': 0}
-
id: 56390335
{'hecke_orbit_code': 49539595934638000, 'n': 73, 'trace_an': 4}
-
id: 56390336
{'hecke_orbit_code': 49539595934638000, 'n': 74, 'trace_an': 0}
-
id: 56390337
{'hecke_orbit_code': 49539595934638000, 'n': 75, 'trace_an': 1}
-
id: 56390338
{'hecke_orbit_code': 49539595934638000, 'n': 76, 'trace_an': 0}
-
id: 56390339
{'hecke_orbit_code': 49539595934638000, 'n': 77, 'trace_an': -24}
-
id: 56390340
{'hecke_orbit_code': 49539595934638000, 'n': 78, 'trace_an': 0}
-
id: 56390341
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