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mf_newforms • Show schema
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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, [2, 1]], [11, [0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679897008, '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.j', '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': '78.2.b.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+2q^{5}-2q^{7}+q^{9}-2q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/8112/j'], '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, -2], 'trace_hash': 2021223770111316830, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [2], [0], [-2], [0], [1], [0], [0], [0], [0], [0], [-2], [0], [2], [0], [6], [0], [2], [0], [4], [0], [-1], [0], [-1], [0], [-10], [0], [-10], [0], [0], [0], [-4], [0], [-8], [0], [0], [0], [10], [0], [4], [0], [2], [0], [-12], [0], [-3], [0], [-2], [0], [-6], [0], [0], [0], [-6], [0], [4], [0], [2], [0], [-2], [0], [0], [0], [2], [0], [-4], [0], [0], [0], [4], [0], [1], [0], [0], [0], [0], [0], [1], [0], [4], [0], [4], [0], [10], [0], [6], [0], [0], [0], [10], [0], [12], [0], [-12], [0], [0], [0]], 'ap': [[0], [-1], [2], [-2], [0], [0], [2], [6], [4], [-10], [-10], [-8], [10], [4], [-12], [-6], [4], [2], [2], [0], [4], [0], [4], [6], [-12], [-2], [-16], [-8], [4], [14], [8], [8], [2], [20], [14], [10], [-2], [-14], [-12], [6], [0], [-22], [-12], [-16], [-22], [0], [-12], [14], [-8], [-4], [6], [16], [-20], [-28], [-18], [-24], [-10], [-10], [2], [10], [4], [14], [-2], [-28], [-26], [18], [10], [2], [12], [16], [26], [4], [-8], [-6], [-34], [4], [-30], [-8], [30], [4], [-40], [20], [20], [26], [0], [16], [6], [28], [-30], [6], [-12], [24], [-18], [-28], [-14], [-24], [-6], [-18], [-4], [20], [-28], [-18], [-16], [-10], [-28], [8], [-28], [-26], [0], [22], [32], [16], [-22], [-26], [10], [18], [-6], [-32], [-26], [-20], [40], [6], [18], [-24], [10], [-22], [36], [20], [8], [-44], [-26], [-16], [32], [-22], [-30], [24], [6], [38], [2], [-50], [-10], [30], [24], [48], [30], [-16], [-56], [22], [20], [44], [8], [-42], [-36], [12], [28], [-12], [0], [-6], [-2], [-10], [-52], [6], [22], [-12], [-42], [-24], [8], [-42], [-44], [-34], [-24], [0], [52], [-4], [0], [-30], [-10], [-10], [24], [50], [-2], [32], [-6], [-2], [36], [-30], [2], [14], [36], [20], [34], [44], [28], [-10], [48], [-34], [40], [6], [62], [36], [-54], [8], [-12], [50], [-36], [-22], [6], [-24], [54], [52], [-38], [42], [16], [8], [-4], [40], [32], [42], [-48], [14], [-18], [54], [54], [14], [-12], [10], [34], [40], [-32], [-60], [-14], [20], [50], [18], [-44], [-48], [36], [54], [-40], [-12], [-76], [-28], [-64], [64], [6], [20], [-2], [20], [46], [-76], [12], [-30], [8], [10], [54], [24], [2], [22], [-38], [8], [24], [12], [44], [14], [-18], [-20], [34], [50], [-34], [-74], [-2], [-38], [-76], [-40], [-2], [74], [32], [16], [40], [12], [76], [-10], [-28], [-40], [38], [32], [-66], [-2], [-46], [70], [42], [-28], [6], [-60], [-66], [10], [48], [-54], [-20], [-42], [6], [-78], [80], [76], [28], [-52], [48], [70], [24], [-74], [56], [-46], [-18], [36], [28], [-10], [-24], [20], [-76], [-30], [52], [-32], [42], [-14], [-66], [62], [74], [-46], [-72], [54], [-20], [-2], [80], [56], [30], [12], [56], [-6], [20], [48], [-64], [38], [6], [-88], [-54], [40], [2], [-62], [-60], [2], [50], [12], [-10], [-96], [-10], [-66], [84], [-80], [22], [-76], [48], [18], [72], [16], [-12], [34], [82], [66], [-2], [-72], [-20], [76], [-30], [-32], [-42], [-4], [-8], [-24], [10], [22], [-10], [34], [-82], [-42], [-6], [-24], [-30], [22], [54], [-8], [76], [6], [-96], [52], [-60], [-26], [-94], [90], [-92], [-30], [64], [-54], [-2], [62], [26], [8], [-12], [-50], [-74], [24], [-34], [-62], [76], [52], [-58], [2], [96], [72], [-58], [84], [-10], [8], [72], [0], [16], [-42], [-36], [-26], [90], [-60]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 40532396679897008, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8112.2.a.j', '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], '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, -10, 0, 0, 0, 18, 0, 32, 0, -4, 0, 40, 0, 20, 0, 8, 0, -16, 0, -92, 0, -8, 0, 8, 0, -32, 0, 14, 0, 0, 0, 84, 0, 149, 0, -44, 0, -38, 0, 0, 0, -26, 0, 64, 0, -24, 0, -128, 0, -10, 0, -1, 0, 34, 0, 0, 0, 20, 0, 12, 0, 16, 0, -4, 0, -50, 0, -64, 0, 10, 0, 32, 0, -4, 0, 42, 0, -6, 0, -44, 0, 0, 0, -124, 0, 26, 0, -12, 0, -42, 0, 20, 0, 24, 0, -120, 0, 169, 0, -26, 0, 34, 0, -40, 0, -4, 0, 0, 0, -32, 0, 42, 0, -52, 0, 0, 0, -16, 0, 96, 0, 30, 0, 0, 0, -38, 0, -56, 0, 28, 0, -48, 0, 0, 0, 26, 0, 16, 0, 64, 0, 10, 0, -88, 0, 22, 0, -26, 0, -96, 0, -8, 0, 32, 0, -60, 0, -14, 0, 0, 0, -2, 0, -120, 0, -16, 0, -64, 0, 143, 0, -5, 0, -12, 0, 24, 0, 6, 0, -24, 0, -54, 0, -36, 0, 0, 0, -56, 0, -24, 0, 40, 0, 96, 0, -4, 0, -46, 0, -48, 0, 36, 0, 160, 0, -78, 0, -48, 0, 14, 0, 0, 0, 2, 0, -32, 0, 30, 0, 18, 0, -16, 0, 104, 0, -12, 0, -76, 0, -22, 0, -24, 0, -30, 0, 72, 0, 0, 0, 72, 0, -10, 0, 52, 0, -128, 0, 48, 0, 155, 0, 124, 0, -12, 0, 54, 0, -2, 0, -8, 0, 16, 0, 0, 0, 78, 0, -10, 0, -86, 0, -92, 0, 48, 0, -156, 0, 48, 0, 2, 0, 48, 0, 128, 0, 18, 0, 64, 0, 0, 0, -32, 0, 4, 0, -4, 0, -4, 0, 92, 0, 20, 0, 16, 0, 128, 0, 24, 0, 40, 0, 136, 0, 28, 0, 0, 0, -86, 0, 416, 0, -4, 0, -16, 0, -96, 0, -6, 0, 54, 0, 332, 0, 48, 0, -8, 0, 259, 0, 4, 0, 0, 0, 56, 0, 36, 0, -84, 0, 34, 0, 354, 0, 44, 0, 20, 0, 18, 0, -224, 0, 80, 0, 84, 0, -38, 0, 0, 0, -8, 0, 140, 0, 100, 0, -4, 0, 54, 0, 252, 0, -48, 0, 64, 0, 22, 0, 46, 0, -96, 0, 40, 0, 0, 0, -44, 0, -64, 0, -66, 0, 46, 0, -88, 0, 0, 0, -96, 0, 14, 0, -24, 0, 10, 0, 224, 0, 16, 0, 0, 0, 74, 0, 132, 0, 70, 0, 136, 0, 8, 0, 112, 0, 95, 0, -24, 0, 4, 0, -28, 0, -68, 0, -64, 0, 0, 0, 24, 0, -34, 0, 104, 0, -40, 0, -64, 0, -96, 0, 264, 0, 138, 0, 40, 0, -18, 0, -124, 0, -118, 0, 0, 0, 80, 0, -104, 0, 40, 0, -24, 0, 38, 0, 1, 0, -358, 0, 80, 0, 4, 0, 44, 0, -228, 0, -78, 0, 0, 0, -40, 0, 16, 0, 136, 0, -84, 0, -34, 0, -302, 0, 328, 0, -48, 0, 184, 0, 106, 0, -24, 0, 32, 0, 0, 0, -32, 0, -144, 0, -48, 0, 54, 0, -130, 0, 48, 0, 155, 0, -16, 0, -46, 0, -66, 0, 80, 0, 48, 0, 0, 0, 88, 0, 92, 0, 44, 0, 64, 0, -80, 0, 28, 0, 160, 0, -398, 0, 80, 0, -10, 0, 352, 0, 4, 0, 0, 0, -26, 0, -130, 0, 82, 0, -52, 0, -64, 0, -88, 0, 16, 0, -6, 0, -20, 0, -16, 0, -40, 0, 120, 0, 0, 0, -28, 0, -414, 0, -80, 0, 6, 0, 96, 0, -64, 0, 58, 0, -106, 0, -24, 0, -72, 0, 184, 0, -16, 0, 0, 0, 18, 0, 120, 0, 4, 0, -36, 0, 82, 0, 290, 0, 46, 0, 16, 0, -8, 0, 8, 0, 13, 0, 34, 0, 0, 0, -20, 0, -76, 0, -144, 0, -102, 0, -16, 0, -26, 0, -124, 0, -48, 0, -184, 0, -148, 0, 109, 0, 64, 0, 0, 0, 6, 0, 288, 0, -94, 0, -26, 0, -114, 0, 12, 0, 8, 0, 88, 0, -32, 0, -4, 0, 192, 0, -120, 0, 0, 0, -72, 0, -212, 0, -80, 0, -132, 0, 348, 0, 18, 0, -80, 0, -48, 0, -140, 0, -32, 0, -24, 0, -52, 0, 0, 0, -74, 0, 40, 0, -130, 0, 0, 0, -72, 0, 104, 0, 30, 0, -10, 0, -70, 0, -64, 0, 0, 0, -36, 0, 0, 0, -10, 0, 6, 0, -16, 0, 8, 0, -96, 0, 163, 0, -20, 0, -404, 0, 124, 0, 104, 0, -84, 0, -16, 0, 0, 0, -82, 0, -96, 0, 18, 0, 88, 0, -84, 0, 40, 0, 48, 0, 248, 0, 4, 0, -80, 0, -166, 0, -22, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1377942
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '78.2.b.a', 'target_level': 78, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1377943
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.b.a', 'target_level': 234, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377944
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '624.2.c.a', 'target_level': 624, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1377945
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1014.2.a.b', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377946
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1014.2.a.g', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377947
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1014.2.e.b', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1377948
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1014.2.e.e', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1377949
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1014.2.i.c', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377950
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1872.2.c.b', 'target_level': 1872, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1377951
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.b.c', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '260.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1377952
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.f.d', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '260.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377953
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1950.2.f.g', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '260.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1377954
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2496.2.c.f', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '104.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1377955
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2496.2.c.m', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '104.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1377956
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3042.2.a.c', 'target_level': 3042, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377957
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3042.2.a.n', 'target_level': 3042, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1377958
{'conductor': 364, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3822.2.c.d', 'target_level': 3822, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '364.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1377959
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '8112.2.a.g', 'target_level': 8112, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377960
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8112.2.a.j', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '8112.2.a.j', 'target_level': 8112, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, '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: 4662775
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 2}
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id: 4662776
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 3}
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id: 4662777
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 5}
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id: 4662778
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 7}
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id: 4662779
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 11}
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id: 4662780
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 13}
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id: 4662781
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 17}
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id: 4662782
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 19}
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id: 4662783
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 23}
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id: 4662784
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 29}
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id: 4662785
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 31}
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id: 4662786
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 37}
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id: 4662787
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 41}
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id: 4662788
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 43}
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id: 4662789
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 47}
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id: 4662790
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 53}
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id: 4662791
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 59}
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id: 4662792
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 61}
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id: 4662793
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 67}
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id: 4662794
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 71}
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id: 4662795
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 73}
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id: 4662796
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 79}
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id: 4662797
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 83}
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id: 4662798
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 89}
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id: 4662799
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 40532396679897008, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '8112.2.a.j', '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: 53239567
{'hecke_orbit_code': 40532396679897008, 'n': 1, 'trace_an': 1}
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id: 53239568
{'hecke_orbit_code': 40532396679897008, 'n': 2, 'trace_an': 0}
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id: 53239569
{'hecke_orbit_code': 40532396679897008, 'n': 3, 'trace_an': -1}
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id: 53239570
{'hecke_orbit_code': 40532396679897008, 'n': 4, 'trace_an': 0}
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id: 53239571
{'hecke_orbit_code': 40532396679897008, 'n': 5, 'trace_an': 2}
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id: 53239572
{'hecke_orbit_code': 40532396679897008, 'n': 6, 'trace_an': 0}
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