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- 2025-07-18T22:45:52.129776+00:00
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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': 4, 'hecke_orbit_code': 13510798915674032, '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.d', '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/d'], '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': 693463549986566231, '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, 0, 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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': 13510798915674032, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8112.2.a.d', '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: 1377849
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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: 1377850
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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: 1377851
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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: 1377852
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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: 1377853
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377854
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377855
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1377856
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1377857
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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: 1377858
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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: 1377859
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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: 1377860
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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: 1377861
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1377862
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377863
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1377864
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377865
{'conductor': 364, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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: 1377866
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1377867
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8112.2.a.d', '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': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4662600
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 2}
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id: 4662601
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 3}
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id: 4662602
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 5}
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id: 4662603
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 7}
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id: 4662604
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 11}
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id: 4662605
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 13}
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id: 4662606
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 17}
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id: 4662607
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 19}
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id: 4662608
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 23}
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id: 4662609
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 29}
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id: 4662610
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 31}
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id: 4662611
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 37}
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id: 4662612
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 41}
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id: 4662613
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 43}
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id: 4662614
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 47}
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id: 4662615
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 53}
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id: 4662616
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 59}
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id: 4662617
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 61}
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id: 4662618
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 67}
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id: 4662619
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 71}
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id: 4662620
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 73}
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id: 4662621
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 79}
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id: 4662622
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 83}
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id: 4662623
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 89}
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id: 4662624
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915674032, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '8112.2.a.d', 'level': 8112, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 34169755
{'hecke_orbit_code': 13510798915674032, 'n': 1, 'trace_an': 1}
-
id: 34169756
{'hecke_orbit_code': 13510798915674032, 'n': 2, 'trace_an': 0}
-
id: 34169757
{'hecke_orbit_code': 13510798915674032, 'n': 3, 'trace_an': -1}
-
id: 34169758
{'hecke_orbit_code': 13510798915674032, 'n': 4, 'trace_an': 0}
-
id: 34169759
{'hecke_orbit_code': 13510798915674032, 'n': 5, 'trace_an': -2}
-
id: 34169760
{'hecke_orbit_code': 13510798915674032, 'n': 6, 'trace_an': 0}
-
id: 34169761
{'hecke_orbit_code': 13510798915674032, 'n': 7, 'trace_an': -4}
-
id: 34169762
{'hecke_orbit_code': 13510798915674032, 'n': 8, 'trace_an': 0}
-
id: 34169763
{'hecke_orbit_code': 13510798915674032, 'n': 9, 'trace_an': 1}
-
id: 34169764
{'hecke_orbit_code': 13510798915674032, 'n': 10, 'trace_an': 0}
-
id: 34169765
{'hecke_orbit_code': 13510798915674032, 'n': 11, 'trace_an': 6}
-
id: 34169766
{'hecke_orbit_code': 13510798915674032, 'n': 12, 'trace_an': 0}
-
id: 34169767
{'hecke_orbit_code': 13510798915674032, 'n': 13, 'trace_an': 0}
-
id: 34169768
{'hecke_orbit_code': 13510798915674032, 'n': 14, 'trace_an': 0}
-
id: 34169769
{'hecke_orbit_code': 13510798915674032, 'n': 15, 'trace_an': 2}
-
id: 34169770
{'hecke_orbit_code': 13510798915674032, 'n': 16, 'trace_an': 0}
-
id: 34169771
{'hecke_orbit_code': 13510798915674032, 'n': 17, 'trace_an': 2}
-
id: 34169772
{'hecke_orbit_code': 13510798915674032, 'n': 18, 'trace_an': 0}
-
id: 34169773
{'hecke_orbit_code': 13510798915674032, 'n': 19, 'trace_an': 0}
-
id: 34169774
{'hecke_orbit_code': 13510798915674032, 'n': 20, 'trace_an': 0}
-
id: 34169775
{'hecke_orbit_code': 13510798915674032, 'n': 21, 'trace_an': 4}
-
id: 34169776
{'hecke_orbit_code': 13510798915674032, 'n': 22, 'trace_an': 0}
-
id: 34169777
{'hecke_orbit_code': 13510798915674032, 'n': 23, 'trace_an': -8}
-
id: 34169778
{'hecke_orbit_code': 13510798915674032, 'n': 24, 'trace_an': 0}
-
id: 34169779
{'hecke_orbit_code': 13510798915674032, 'n': 25, 'trace_an': -1}
-
id: 34169780
{'hecke_orbit_code': 13510798915674032, 'n': 26, 'trace_an': 0}
-
id: 34169781
{'hecke_orbit_code': 13510798915674032, 'n': 27, 'trace_an': -1}
-
id: 34169782
{'hecke_orbit_code': 13510798915674032, 'n': 28, 'trace_an': 0}
-
id: 34169783
{'hecke_orbit_code': 13510798915674032, 'n': 29, 'trace_an': 2}
-
id: 34169784
{'hecke_orbit_code': 13510798915674032, 'n': 30, 'trace_an': 0}
-
id: 34169785
{'hecke_orbit_code': 13510798915674032, 'n': 31, 'trace_an': -8}
-
id: 34169786
{'hecke_orbit_code': 13510798915674032, 'n': 32, 'trace_an': 0}
-
id: 34169787
{'hecke_orbit_code': 13510798915674032, 'n': 33, 'trace_an': -6}
-
id: 34169788
{'hecke_orbit_code': 13510798915674032, 'n': 34, 'trace_an': 0}
-
id: 34169789
{'hecke_orbit_code': 13510798915674032, 'n': 35, 'trace_an': 8}
-
id: 34169790
{'hecke_orbit_code': 13510798915674032, 'n': 36, 'trace_an': 0}
-
id: 34169791
{'hecke_orbit_code': 13510798915674032, 'n': 37, 'trace_an': 8}
-
id: 34169792
{'hecke_orbit_code': 13510798915674032, 'n': 38, 'trace_an': 0}
-
id: 34169793
{'hecke_orbit_code': 13510798915674032, 'n': 39, 'trace_an': 0}
-
id: 34169794
{'hecke_orbit_code': 13510798915674032, 'n': 40, 'trace_an': 0}
-
id: 34169795
{'hecke_orbit_code': 13510798915674032, 'n': 41, 'trace_an': 2}
-
id: 34169796
{'hecke_orbit_code': 13510798915674032, 'n': 42, 'trace_an': 0}
-
id: 34169797
{'hecke_orbit_code': 13510798915674032, 'n': 43, 'trace_an': -8}
-
id: 34169798
{'hecke_orbit_code': 13510798915674032, 'n': 44, 'trace_an': 0}
-
id: 34169799
{'hecke_orbit_code': 13510798915674032, 'n': 45, 'trace_an': -2}
-
id: 34169800
{'hecke_orbit_code': 13510798915674032, 'n': 46, 'trace_an': 0}
-
id: 34169801
{'hecke_orbit_code': 13510798915674032, 'n': 47, 'trace_an': 6}
-
id: 34169802
{'hecke_orbit_code': 13510798915674032, 'n': 48, 'trace_an': 0}
-
id: 34169803
{'hecke_orbit_code': 13510798915674032, 'n': 49, 'trace_an': 9}
-
id: 34169804
{'hecke_orbit_code': 13510798915674032, 'n': 50, 'trace_an': 0}
-
id: 34169805
{'hecke_orbit_code': 13510798915674032, 'n': 51, 'trace_an': -2}
-
id: 34169806
{'hecke_orbit_code': 13510798915674032, 'n': 52, 'trace_an': 0}
-
id: 34169807
{'hecke_orbit_code': 13510798915674032, 'n': 53, 'trace_an': 6}
-
id: 34169808
{'hecke_orbit_code': 13510798915674032, 'n': 54, 'trace_an': 0}
-
id: 34169809
{'hecke_orbit_code': 13510798915674032, 'n': 55, 'trace_an': -12}
-
id: 34169810
{'hecke_orbit_code': 13510798915674032, 'n': 56, 'trace_an': 0}
-
id: 34169811
{'hecke_orbit_code': 13510798915674032, 'n': 57, 'trace_an': 0}
-
id: 34169812
{'hecke_orbit_code': 13510798915674032, 'n': 58, 'trace_an': 0}
-
id: 34169813
{'hecke_orbit_code': 13510798915674032, 'n': 59, 'trace_an': 2}
-
id: 34169814
{'hecke_orbit_code': 13510798915674032, 'n': 60, 'trace_an': 0}
-
id: 34169815
{'hecke_orbit_code': 13510798915674032, 'n': 61, 'trace_an': 2}
-
id: 34169816
{'hecke_orbit_code': 13510798915674032, 'n': 62, 'trace_an': 0}
-
id: 34169817
{'hecke_orbit_code': 13510798915674032, 'n': 63, 'trace_an': -4}
-
id: 34169818
{'hecke_orbit_code': 13510798915674032, 'n': 64, 'trace_an': 0}
-
id: 34169819
{'hecke_orbit_code': 13510798915674032, 'n': 65, 'trace_an': 0}
-
id: 34169820
{'hecke_orbit_code': 13510798915674032, 'n': 66, 'trace_an': 0}
-
id: 34169821
{'hecke_orbit_code': 13510798915674032, 'n': 67, 'trace_an': 4}
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