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{'Nk2': 32448, 'analytic_conductor': 64.77464611966265, 'analytic_rank': 0, '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, [3, 1]], [7, [-2, 1]], [11, [-6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288303536, '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.c', '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.e.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-3q^{5}+2q^{7}+q^{9}+6q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/8112/c'], '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, -3, 2], 'trace_hash': 1710159834261905547, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.997', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.066', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [1, 0, -1, 0, -3, 0, 2, 0, 1, 0, 6, 0, 0, 0, 3, 0, -3, 0, 2, 0, -2, 0, 6, 0, 4, 0, -1, 0, 3, 0, -4, 0, -6, 0, -6, 0, 7, 0, 0, 0, 3, 0, 10, 0, -3, 0, 6, 0, -3, 0, 3, 0, 3, 0, -18, 0, -2, 0, 0, 0, -7, 0, 2, 0, 0, 0, -10, 0, -6, 0, 6, 0, 13, 0, -4, 0, 12, 0, 4, 0, 1, 0, -6, 0, 9, 0, -3, 0, -18, 0, 0, 0, 4, 0, -6, 0, -14, 0, 6, 0, 15, 0, -14, 0, 6, 0, 6, 0, -14, 0, -7, 0, -3, 0, -18, 0, 0, 0, -6, 0, 25, 0, -3, 0, 3, 0, 4, 0, -10, 0, 0, 0, 4, 0, 3, 0, -9, 0, 4, 0, -6, 0, 0, 0, -9, 0, 3, 0, 9, 0, -10, 0, -3, 0, 12, 0, 5, 0, -3, 0, 12, 0, -4, 0, 18, 0, 0, 0, 0, 0, 2, 0, -6, 0, 8, 0, 0, 0, -6, 0, -7, 0, 7, 0, -21, 0, -18, 0, -2, 0, 12, 0, -23, 0, 0, 0, -6, 0, 10, 0, 10, 0, 6, 0, -9, 0, 6, 0, 12, 0, 16, 0, -6, 0, -30, 0, -8, 0, -13, 0, 0, 0, 8, 0, 4, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [-3], [0], [2], [0], [1], [0], [6], [0], [0], [0], [3], [0], [-3], [0], [2], [0], [-2], [0], [6], [0], [4], [0], [-1], [0], [3], [0], [-4], [0], [-6], [0], [-6], [0], [7], [0], [0], [0], [3], [0], [10], [0], [-3], [0], [6], [0], [-3], [0], [3], [0], [3], [0], [-18], [0], [-2], [0], [0], [0], [-7], [0], [2], [0], [0], [0], [-10], [0], [-6], [0], [6], [0], [13], [0], [-4], [0], [12], [0], [4], [0], [1], [0], [-6], [0], [9], [0], [-3], [0], [-18], [0], [0], [0], [4], [0], [-6], [0], [-14], [0], [6], [0]], 'ap': [[0], [-1], [-3], [2], [6], [0], [-3], [2], [6], [3], [-4], [7], [3], [10], [6], [3], [0], [-7], [-10], [6], [13], [4], [-6], [-18], [-14], [15], [-14], [6], [-14], [-3], [4], [0], [-9], [4], [9], [-10], [5], [-4], [0], [-6], [-6], [-7], [12], [-23], [-6], [10], [16], [8], [18], [22], [-6], [6], [1], [12], [-3], [6], [18], [-16], [17], [-9], [-14], [21], [-10], [30], [-10], [-3], [-4], [23], [30], [10], [15], [6], [-2], [29], [20], [24], [39], [-14], [3], [1], [-24], [-29], [-6], [-13], [-14], [36], [-18], [-11], [-15], [38], [18], [0], [2], [18], [32], [-6], [-3], [33], [34], [-29], [34], [-3], [0], [6], [22], [-11], [0], [-9], [-24], [-37], [-32], [31], [15], [8], [20], [-3], [-16], [-24], [42], [-24], [-5], [-13], [18], [-48], [26], [-30], [-5], [0], [-14], [31], [-16], [-36], [-14], [-34], [30], [-14], [30], [-28], [30], [-51], [-4], [-18], [40], [-48], [17], [-12], [19], [21], [-26], [18], [-41], [33], [-8], [48], [-44], [24], [16], [-33], [47], [-42], [24], [54], [-22], [-60], [3], [-36], [-38], [5], [34], [15], [-42], [31], [-36], [37], [-32], [45], [62], [-3], [64], [-10], [62], [0], [29], [42], [18], [-45], [-34], [-28], [-11], [-30], [35], [-30], [22], [18], [6], [18], [61], [5], [-45], [12], [-51], [40], [-29], [-61], [-66], [27], [62], [-36], [-9], [40], [-13], [-6], [-2], [66], [0], [1], [-8], [-27], [-12], [6], [29], [20], [51], [20], [-18], [41], [57], [36], [-20], [60], [-67], [4], [-4], [21], [16], [36], [34], [9], [24], [30], [-18], [-74], [-14], [-65], [63], [36], [44], [36], [26], [-6], [34], [-30], [24], [-61], [30], [-78], [38], [-46], [-54], [25], [-44], [-60], [-17], [41], [-9], [34], [-30], [-57], [50], [51], [17], [-52], [73], [-68], [-58], [-34], [36], [-53], [49], [6], [-6], [-40], [84], [-53], [-22], [42], [-37], [-3], [-34], [9], [-78], [-18], [-9], [0], [14], [-69], [-8], [75], [12], [-22], [-25], [69], [-74], [-12], [-62], [-47], [-78], [-31], [84], [65], [-6], [78], [-15], [-2], [42], [-85], [-42], [30], [34], [45], [82], [-74], [3], [2], [-66], [-61], [26], [-46], [6], [39], [55], [-57], [34], [-18], [-46], [-30], [31], [6], [-23], [28], [10], [-87], [-15], [82], [-18], [-54], [-55], [80], [-30], [18], [86], [-38], [-87], [58], [-31], [-3], [42], [-36], [-3], [6], [-89], [21], [0], [84], [64], [38], [-66], [8], [-61], [12], [34], [42], [51], [22], [-7], [-18], [6], [46], [-87], [-1], [78], [-21], [2], [-18], [20], [6], [-82], [86], [8], [84], [-35], [45], [-18], [-26], [-48], [62], [38], [6], [4], [-87], [46], [-54], [80], [-33], [-27], [-86], [-50], [-57], [-94], [0], [11], [27], [30], [100], [-13], [-57], [-12], [-14], [-78], [36], [51], [-29], [-66], [54], [58], [-15], [84], [15], [98], [-84]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288303536, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8112.2.a.c', '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: 1377833
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '78.2.e.a', 'target_level': 78, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1377834
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.h.a', 'target_level': 234, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 1377835
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '624.2.q.g', 'target_level': 624, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1377836
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1014.2.a.c', 'target_level': 1014, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377837
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1014.2.a.f', 'target_level': 1014, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377838
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1014.2.b.c', 'target_level': 1014, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1377839
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1014.2.e.a', 'target_level': 1014, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1377840
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1014.2.i.b', 'target_level': 1014, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377841
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1872.2.t.c', 'target_level': 1872, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1377842
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1950.2.i.m', 'target_level': 1950, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '260.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1377843
{'conductor': 260, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 26, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1950.2.z.g', 'target_level': 1950, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '260.bg', 'twisting_char_orbit': 33, 'weight': 2}
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id: 1377844
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3042.2.a.h', 'target_level': 3042, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377845
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3042.2.a.i', 'target_level': 3042, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1377846
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3042.2.b.h', 'target_level': 3042, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377847
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '8112.2.a.c', 'target_level': 8112, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1377848
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '8112.2.a.c', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '8112.2.a.m', 'target_level': 8112, 'twist_class_label': '78.2.e.a', 'twist_class_level': 78, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4662575
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 2}
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id: 4662576
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 3}
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id: 4662577
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 5}
-
id: 4662578
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 7}
-
id: 4662579
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 11}
-
id: 4662580
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 13}
-
id: 4662581
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 17}
-
id: 4662582
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 19}
-
id: 4662583
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 23}
-
id: 4662584
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 29}
-
id: 4662585
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 31}
-
id: 4662586
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 37}
-
id: 4662587
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 41}
-
id: 4662588
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 43}
-
id: 4662589
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 47}
-
id: 4662590
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 53}
-
id: 4662591
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 59}
-
id: 4662592
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 61}
-
id: 4662593
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 67}
-
id: 4662594
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 71}
-
id: 4662595
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 73}
-
id: 4662596
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 79}
-
id: 4662597
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 83}
-
id: 4662598
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 89}
-
id: 4662599
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 9007199288303536, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '8112.2.a.c', 'level': 8112, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 27873523
{'hecke_orbit_code': 9007199288303536, 'n': 1, 'trace_an': 1}
-
id: 27873524
{'hecke_orbit_code': 9007199288303536, 'n': 2, 'trace_an': 0}
-
id: 27873525
{'hecke_orbit_code': 9007199288303536, 'n': 3, 'trace_an': -1}
-
id: 27873526
{'hecke_orbit_code': 9007199288303536, 'n': 4, 'trace_an': 0}
-
id: 27873527
{'hecke_orbit_code': 9007199288303536, 'n': 5, 'trace_an': -3}
-
id: 27873528
{'hecke_orbit_code': 9007199288303536, 'n': 6, 'trace_an': 0}
-
id: 27873529
{'hecke_orbit_code': 9007199288303536, 'n': 7, 'trace_an': 2}
-
id: 27873530
{'hecke_orbit_code': 9007199288303536, 'n': 8, 'trace_an': 0}
-
id: 27873531
{'hecke_orbit_code': 9007199288303536, 'n': 9, 'trace_an': 1}
-
id: 27873532
{'hecke_orbit_code': 9007199288303536, 'n': 10, 'trace_an': 0}
-
id: 27873533
{'hecke_orbit_code': 9007199288303536, 'n': 11, 'trace_an': 6}
-
id: 27873534
{'hecke_orbit_code': 9007199288303536, 'n': 12, 'trace_an': 0}
-
id: 27873535
{'hecke_orbit_code': 9007199288303536, 'n': 13, 'trace_an': 0}
-
id: 27873536
{'hecke_orbit_code': 9007199288303536, 'n': 14, 'trace_an': 0}
-
id: 27873537
{'hecke_orbit_code': 9007199288303536, 'n': 15, 'trace_an': 3}
-
id: 27873538
{'hecke_orbit_code': 9007199288303536, 'n': 16, 'trace_an': 0}
-
id: 27873539
{'hecke_orbit_code': 9007199288303536, 'n': 17, 'trace_an': -3}
-
id: 27873540
{'hecke_orbit_code': 9007199288303536, 'n': 18, 'trace_an': 0}
-
id: 27873541
{'hecke_orbit_code': 9007199288303536, 'n': 19, 'trace_an': 2}
-
id: 27873542
{'hecke_orbit_code': 9007199288303536, 'n': 20, 'trace_an': 0}
-
id: 27873543
{'hecke_orbit_code': 9007199288303536, 'n': 21, 'trace_an': -2}
-
id: 27873544
{'hecke_orbit_code': 9007199288303536, 'n': 22, 'trace_an': 0}
-
id: 27873545
{'hecke_orbit_code': 9007199288303536, 'n': 23, 'trace_an': 6}
-
id: 27873546
{'hecke_orbit_code': 9007199288303536, 'n': 24, 'trace_an': 0}
-
id: 27873547
{'hecke_orbit_code': 9007199288303536, 'n': 25, 'trace_an': 4}
-
id: 27873548
{'hecke_orbit_code': 9007199288303536, 'n': 26, 'trace_an': 0}
-
id: 27873549
{'hecke_orbit_code': 9007199288303536, 'n': 27, 'trace_an': -1}
-
id: 27873550
{'hecke_orbit_code': 9007199288303536, 'n': 28, 'trace_an': 0}
-
id: 27873551
{'hecke_orbit_code': 9007199288303536, 'n': 29, 'trace_an': 3}
-
id: 27873552
{'hecke_orbit_code': 9007199288303536, 'n': 30, 'trace_an': 0}
-
id: 27873553
{'hecke_orbit_code': 9007199288303536, 'n': 31, 'trace_an': -4}
-
id: 27873554
{'hecke_orbit_code': 9007199288303536, 'n': 32, 'trace_an': 0}
-
id: 27873555
{'hecke_orbit_code': 9007199288303536, 'n': 33, 'trace_an': -6}
-
id: 27873556
{'hecke_orbit_code': 9007199288303536, 'n': 34, 'trace_an': 0}
-
id: 27873557
{'hecke_orbit_code': 9007199288303536, 'n': 35, 'trace_an': -6}
-
id: 27873558
{'hecke_orbit_code': 9007199288303536, 'n': 36, 'trace_an': 0}
-
id: 27873559
{'hecke_orbit_code': 9007199288303536, 'n': 37, 'trace_an': 7}
-
id: 27873560
{'hecke_orbit_code': 9007199288303536, 'n': 38, 'trace_an': 0}
-
id: 27873561
{'hecke_orbit_code': 9007199288303536, 'n': 39, 'trace_an': 0}
-
id: 27873562
{'hecke_orbit_code': 9007199288303536, 'n': 40, 'trace_an': 0}
-
id: 27873563
{'hecke_orbit_code': 9007199288303536, 'n': 41, 'trace_an': 3}
-
id: 27873564
{'hecke_orbit_code': 9007199288303536, 'n': 42, 'trace_an': 0}
-
id: 27873565
{'hecke_orbit_code': 9007199288303536, 'n': 43, 'trace_an': 10}
-
id: 27873566
{'hecke_orbit_code': 9007199288303536, 'n': 44, 'trace_an': 0}
-
id: 27873567
{'hecke_orbit_code': 9007199288303536, 'n': 45, 'trace_an': -3}
-
id: 27873568
{'hecke_orbit_code': 9007199288303536, 'n': 46, 'trace_an': 0}
-
id: 27873569
{'hecke_orbit_code': 9007199288303536, 'n': 47, 'trace_an': 6}
-
id: 27873570
{'hecke_orbit_code': 9007199288303536, 'n': 48, 'trace_an': 0}
-
id: 27873571
{'hecke_orbit_code': 9007199288303536, 'n': 49, 'trace_an': -3}
-
id: 27873572
{'hecke_orbit_code': 9007199288303536, 'n': 50, 'trace_an': 0}
-
id: 27873573
{'hecke_orbit_code': 9007199288303536, 'n': 51, 'trace_an': 3}
-
id: 27873574
{'hecke_orbit_code': 9007199288303536, 'n': 52, 'trace_an': 0}
-
id: 27873575
{'hecke_orbit_code': 9007199288303536, 'n': 53, 'trace_an': 3}
-
id: 27873576
{'hecke_orbit_code': 9007199288303536, 'n': 54, 'trace_an': 0}
-
id: 27873577
{'hecke_orbit_code': 9007199288303536, 'n': 55, 'trace_an': -18}
-
id: 27873578
{'hecke_orbit_code': 9007199288303536, 'n': 56, 'trace_an': 0}
-
id: 27873579
{'hecke_orbit_code': 9007199288303536, 'n': 57, 'trace_an': -2}
-
id: 27873580
{'hecke_orbit_code': 9007199288303536, 'n': 58, 'trace_an': 0}
-
id: 27873581
{'hecke_orbit_code': 9007199288303536, 'n': 59, 'trace_an': 0}
-
id: 27873582
{'hecke_orbit_code': 9007199288303536, 'n': 60, 'trace_an': 0}
-
id: 27873583
{'hecke_orbit_code': 9007199288303536, 'n': 61, 'trace_an': -7}
-
id: 27873584
{'hecke_orbit_code': 9007199288303536, 'n': 62, 'trace_an': 0}
-
id: 27873585
{'hecke_orbit_code': 9007199288303536, 'n': 63, 'trace_an': 2}
-
id: 27873586
{'hecke_orbit_code': 9007199288303536, 'n': 64, 'trace_an': 0}
-
id: 27873587
{'hecke_orbit_code': 9007199288303536, 'n': 65, 'trace_an': 0}
-
id: 27873588
{'hecke_orbit_code': 9007199288303536, 'n': 66, 'trace_an': 0}
-
id: 27873589
{'hecke_orbit_code': 9007199288303536, 'n': 67, 'trace_an': -10}
-
id: 27873590
{'hecke_orbit_code': 9007199288303536, 'n': 68, 'trace_an': 0}
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id: 27873591
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