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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, 'conrey_indexes': [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, [-1, 1]], [7, [-2, 1]], [11, [2, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599936432, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8112.2.a.bc', 'level': 8112, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '39.2.e.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}+q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/8112/bc'], '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, 1, 2], 'trace_hash': 1396104531641427562, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.984', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.931', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [1], [0], [2], [0], [1], [0], [-2], [0], [0], [0], [1], [0], [-7], [0], [-6], [0], [2], [0], [6], [0], [-4], [0], [1], [0], [-1], [0], [4], [0], [-2], [0], [2], [0], [-1], [0], [0], [0], [-9], [0], [-6], [0], [1], [0], [6], [0], [-3], [0], [-7], [0], [-9], [0], [-2], [0], [-6], [0], [0], [0], [1], [0], [2], [0], [0], [0], [-2], [0], [6], [0], [6], [0], [-11], [0], [-4], [0], [-4], [0], [4], [0], [1], [0], [-14], [0], [-7], [0], [-1], [0], [14], [0], [0], [0], [4], [0], [-6], [0], [2], [0], [-2], [0]], 'ap': [[0], [1], [1], [2], [-2], [0], [-7], [-6], [6], [-1], [4], [-1], [-9], [-6], [6], [-9], [0], [1], [-2], [6], [-11], [4], [-14], [14], [2], [3], [-6], [6], [2], [-15], [-20], [8], [3], [-12], [-3], [-2], [-3], [-4], [16], [-6], [2], [-7], [4], [9], [-6], [-14], [8], [16], [-14], [22], [10], [30], [-7], [-12], [-7], [30], [-14], [0], [-31], [19], [18], [9], [14], [-18], [6], [25], [-4], [-33], [-18], [26], [11], [-18], [-10], [-11], [-36], [8], [19], [34], [-1], [-7], [-16], [19], [-30], [19], [-14], [4], [-34], [13], [-19], [-26], [-6], [24], [18], [-6], [24], [2], [-7], [-3], [-14], [-45], [26], [9], [0], [22], [-26], [-11], [16], [-13], [16], [-5], [-8], [23], [-13], [-24], [20], [-31], [-16], [32], [-6], [8], [-45], [-29], [34], [-24], [42], [2], [11], [48], [-14], [15], [-16], [-36], [34], [-50], [-50], [-30], [14], [28], [-2], [33], [-28], [-50], [24], [16], [17], [12], [-21], [-31], [-34], [10], [-17], [37], [-16], [0], [-12], [40], [-24], [27], [-49], [38], [-48], [6], [2], [-36], [-33], [4], [2], [-35], [-30], [27], [54], [23], [4], [45], [24], [33], [6], [9], [-16], [-42], [38], [0], [-19], [-6], [26], [63], [-2], [-52], [13], [42], [43], [34], [-10], [-14], [-18], [66], [-19], [-11], [7], [36], [-39], [16], [35], [11], [30], [-25], [-50], [-52], [43], [56], [-13], [42], [22], [-62], [-56], [1], [16], [-7], [36], [54], [29], [28], [-73], [52], [54], [-47], [21], [52], [20], [-4], [-51], [4], [20], [33], [56], [60], [34], [-43], [64], [-58], [-2], [14], [-14], [-57], [51], [36], [-44], [-60], [74], [-6], [-62], [-14], [-72], [-5], [-66], [10], [-10], [-46], [42], [41], [-12], [-76], [31], [-47], [-21], [-22], [-62], [-21], [-22], [-17], [41], [12], [-31], [4], [54], [70], [52], [-61], [-31], [6], [18], [-16], [-28], [19], [-22], [74], [19], [33], [14], [5], [-30], [-42], [27], [-72], [-50], [-17], [-48], [79], [28], [2], [71], [-31], [86], [-44], [-38], [57], [58], [49], [36], [-39], [34], [30], [-11], [-82], [-22], [35], [54], [-2], [2], [-15], [10], [-10], [-9], [-78], [30], [-21], [-46], [-62], [62], [27], [55], [75], [26], [14], [82], [-14], [71], [70], [-47], [92], [-54], [13], [-35], [-62], [46], [-30], [25], [-32], [2], [-62], [6], [-54], [-27], [-14], [-55], [-7], [50], [-84], [-39], [-26], [15], [-63], [72], [36], [32], [22], [30], [88], [51], [-60], [90], [10], [-33], [-66], [-39], [-66], [78], [14], [-83], [-9], [-18], [15], [2], [30], [-44], [-74], [-66], [102], [80], [-68], [85], [49], [-58], [70], [80], [46], [38], [-42], [68], [-75], [-50], [-6], [64], [-69], [49], [34], [-82], [43], [18], [0], [-85], [-97], [-90], [-52], [27], [27], [-4], [10], [-30], [-92], [-65], [-69], [-106], [70], [-86], [77], [-108], [75], [-70], [84]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 126100789599936432, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8112.2.a.bc', 'level': 8112, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1]], 21, 9], [[[2, 1], [3, -1], [13, 1]], 23, 12], [[[2, 1], [3, -1], [13, -1]], 15, 6], [[[2, -1], [3, -1], [13, 1]], 18, 12], [[[2, -1], [3, 1], [13, -1]], 21, 10], [[[2, 1], [3, 1], [13, -1]], 21, 8], [[[2, -1], [3, 1], [13, 1]], 18, 9], [[[2, 1], [3, 1], [13, 1]], 18, 9]], 'ALdims': [18, 21, 23, 15, 18, 21, 18, 21], '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_prime': False, 'level_is_prime_power': 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, 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mf_twists_nf • Show schema
Hide schema
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id: 1378212
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.e.a', 'target_level': 39, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1378213
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '117.2.g.b', 'target_level': 117, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 1378214
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '507.2.a.b', 'target_level': 507, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378215
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.a.c', 'target_level': 507, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378216
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '507.2.b.b', 'target_level': 507, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1378217
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.e.c', 'target_level': 507, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1378218
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '507.2.j.d', 'target_level': 507, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1378219
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '624.2.q.c', 'target_level': 624, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1378220
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '975.2.i.f', 'target_level': 975, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '260.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1378221
{'conductor': 260, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.bb.d', 'target_level': 975, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '260.bg', 'twisting_char_orbit': 33, 'weight': 2}
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id: 1378222
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1521.2.a.a', 'target_level': 1521, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1378223
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1521.2.a.d', 'target_level': 1521, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378224
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1521.2.b.c', 'target_level': 1521, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1378225
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1872.2.t.j', 'target_level': 1872, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1378226
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '8112.2.a.w', 'target_level': 8112, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378227
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '8112.2.a.bc', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '8112.2.a.bc', 'target_level': 8112, 'twist_class_label': '39.2.e.a', 'twist_class_level': 39, '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: 4663350
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 2}
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id: 4663351
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 3}
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id: 4663352
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 5}
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id: 4663353
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 7}
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id: 4663354
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 11}
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id: 4663355
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 13}
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id: 4663356
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 17}
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id: 4663357
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 19}
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id: 4663358
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 23}
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id: 4663359
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 29}
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id: 4663360
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 31}
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id: 4663361
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 37}
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id: 4663362
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 41}
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id: 4663363
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 43}
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id: 4663364
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 47}
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id: 4663365
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 53}
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id: 4663366
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 59}
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id: 4663367
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 61}
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id: 4663368
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 67}
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id: 4663369
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 71}
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id: 4663370
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 73}
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id: 4663371
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 79}
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id: 4663372
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 83}
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id: 4663373
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 89}
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id: 4663374
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 126100789599936432, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '8112.2.a.bc', '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: 263750000
{'hecke_orbit_code': 126100789599936432, 'n': 1, 'trace_an': 1}
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id: 263750001
{'hecke_orbit_code': 126100789599936432, 'n': 2, 'trace_an': 0}
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id: 263750002
{'hecke_orbit_code': 126100789599936432, 'n': 3, 'trace_an': 1}
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id: 263750003
{'hecke_orbit_code': 126100789599936432, 'n': 4, 'trace_an': 0}
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id: 263750004
{'hecke_orbit_code': 126100789599936432, 'n': 5, 'trace_an': 1}
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id: 263750005
{'hecke_orbit_code': 126100789599936432, 'n': 6, 'trace_an': 0}
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id: 263750006
{'hecke_orbit_code': 126100789599936432, 'n': 7, 'trace_an': 2}
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id: 263750007
{'hecke_orbit_code': 126100789599936432, 'n': 8, 'trace_an': 0}
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id: 263750008
{'hecke_orbit_code': 126100789599936432, 'n': 9, 'trace_an': 1}
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id: 263750009
{'hecke_orbit_code': 126100789599936432, 'n': 10, 'trace_an': 0}
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id: 263750010
{'hecke_orbit_code': 126100789599936432, 'n': 11, 'trace_an': -2}
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id: 263750011
{'hecke_orbit_code': 126100789599936432, 'n': 12, 'trace_an': 0}
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id: 263750012
{'hecke_orbit_code': 126100789599936432, 'n': 13, 'trace_an': 0}
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id: 263750013
{'hecke_orbit_code': 126100789599936432, 'n': 14, 'trace_an': 0}
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id: 263750014
{'hecke_orbit_code': 126100789599936432, 'n': 15, 'trace_an': 1}
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id: 263750015
{'hecke_orbit_code': 126100789599936432, 'n': 16, 'trace_an': 0}
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id: 263750016
{'hecke_orbit_code': 126100789599936432, 'n': 17, 'trace_an': -7}
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