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mf_newforms • Show schema
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{'Nk2': 4704, 'analytic_conductor': 9.390407277702574, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1176, 1, [295, 589, 785, 1081], [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]], [11, [-3, 1]], [13, [4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288296600, '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': '1176.2.a.c', 'level': 1176, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '168.2.q.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}+q^{9}+3q^{11}-4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1176/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1176.2.a', 'trace_display': [0, -1, 1, 0], 'trace_hash': 1402928046982415324, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.926', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [1], [0], [0], [0], [1], [0], [3], [0], [-4], [0], [-1], [0], [0], [0], [4], [0], [0], [0], [8], [0], [-4], [0], [-1], [0], [-3], [0], [5], [0], [-3], [0], [0], [0], [8], [0], [4], [0], [-8], [0], [6], [0], [1], [0], [-10], [0], [0], [0], [0], [0], [9], [0], [3], [0], [-4], [0], [5], [0], [10], [0], [0], [0], [-4], [0], [6], [0], [-8], [0], [10], [0], [-2], [0], [4], [0], [0], [0], [11], [0], [1], [0], [-7], [0], [0], [0], [3], [0], [18], [0], [0], [0], [-5], [0], [4], [0], [17], [0], [3], [0]], 'ap': [[0], [-1], [1], [0], [3], [-4], [0], [4], [8], [-3], [5], [8], [-8], [6], [-10], [9], [5], [10], [6], [10], [-2], [11], [-7], [18], [17], [2], [0], [-11], [-10], [-8], [-7], [-15], [-14], [22], [18], [-5], [4], [8], [2], [-2], [12], [0], [-16], [-27], [-26], [-12], [6], [-1], [-21], [12], [-24], [0], [-23], [-11], [-14], [-14], [-1], [17], [8], [6], [18], [19], [16], [0], [-9], [13], [4], [-15], [-20], [-2], [-8], [6], [7], [16], [-16], [-2], [26], [-28], [-8], [-7], [0], [-6], [-12], [2], [9], [-1], [4], [-17], [-30], [-16], [28], [-6], [37], [-9], [10], [12], [39], [18], [12], [34], [-8], [15], [-39], [12], [22], [33], [-45], [0], [-42], [13], [-13], [8], [-30], [-6], [-11], [-22], [-46], [50], [15], [24], [-38], [29], [-19], [17], [0], [5], [6], [34], [-47], [-14], [10], [34], [-27], [-10], [12], [-37], [26], [22], [-3], [-16], [-2], [-39], [32], [-41], [4], [24], [-14], [-14], [14], [22], [-32], [54], [40], [48], [-16], [6], [-16], [-42], [-19], [13], [-48], [-38], [3], [-25], [-22], [-44], [15], [26], [15], [21], [-19], [18], [4], [-27], [11], [4], [-46], [-45], [24], [6], [-37], [51], [-26], [-14], [26], [-31], [-26], [-42], [59], [20], [31], [21], [52], [-58], [7], [-18], [-26], [-66], [-62], [22], [-1], [-64], [42], [38], [-16], [-69], [-24], [21], [56], [34], [-62], [-11], [35], [-61], [-28], [-18], [1], [-56], [42], [-2], [8], [64], [58], [31], [-33], [64], [-26], [28], [9], [12], [-6], [8], [51], [30], [2], [60], [13], [-21], [-68], [16], [60], [-16], [-17], [50], [-36], [-12], [-19], [36], [-16], [-64], [26], [78], [6], [-18], [-49], [-21], [-30], [28], [-1], [67], [40], [15], [-54], [76], [-2], [70], [-5], [-60], [20], [-29], [48], [-10], [59], [-51], [43], [56], [29], [-40], [54], [32], [22], [-17], [-36], [36], [-50], [-8], [79], [-45], [-53], [-84], [10], [-53], [12], [-20], [4], [-3], [-56], [86], [60], [62], [-6], [11], [-59], [39], [10], [-14], [-9], [-38], [6], [-26], [-30], [78], [20], [0], [-32], [-38], [-51], [-48], [51], [-8], [-64], [34], [19], [-56], [-24], [5], [-50], [62], [-38], [15], [-54], [51], [72], [40], [-82], [44], [52], [2], [-81], [47], [14], [36], [75], [81], [13], [9], [10], [-14], [30], [-45], [68], [27], [-42], [-93], [-50], [6], [-42], [-43], [12], [-34], [90], [24], [-54], [-20], [32], [-53], [-22], [16], [57], [-51], [-80], [46], [-43], [-8], [-88], [-56], [20], [21], [22], [-46], [6], [6], [-8], [36], [78], [14], [-8], [-28], [-28], [12], [-71], [-42], [-33], [-46], [-58], [-89], [-5], [30], [-40], [-21], [-4], [24], [-76], [54], [-65], [-25], [54], [-38], [14], [-63], [41], [-33], [-23], [82], [-86], [63], [-12], [-32], [-72], [-18], [-49], [-54], [58], [17], [-10], [-78], [69], [48], [-30], [-52]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288296600, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1176.2.a.c', 'level': 1176, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1]], 4, 3], [[[2, -1], [3, 1], [7, -1]], 1, 1], [[[2, -1], [3, -1], [7, 1]], 2, 1], [[[2, 1], [3, -1], [7, -1]], 2, 2], [[[2, 1], [3, -1], [7, 1]], 3, 2], [[[2, -1], [3, 1], [7, 1]], 4, 2], [[[2, 1], [3, 1], [7, -1]], 2, 2], [[[2, 1], [3, 1], [7, 1]], 3, 2]], 'ALdims': [3, 2, 3, 2, 4, 1, 2, 4], 'Nk2': 4704, 'analytic_conductor': 9.390407277702574, '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': [1176, 1, [295, 589, 785, 1081], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 193, 'dim': 21, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 33555608, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2], 'label': '1176.2.a', 'level': 1176, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 256, 'mf_new_dim': 21, 'num_forms': 15, 'plus_dim': 8, 'prim_orbit_index': 1, 'relative_dim': 21, 'sturm_bound': 448, 'trace_bound': 11, 'trace_display': [0, 1, -2, 0], 'traces': [21, 0, 1, 0, -2, 0, 0, 0, 21, 0, -4, 0, -2, 0, -2, 0, -6, 0, 4, 0, 0, 0, 16, 0, 23, 0, 1, 0, -2, 0, 8, 0, 4, 0, 0, 0, -6, 0, 6, 0, 18, 0, -16, 0, -2, 0, 0, 0, 0, 0, -10, 0, 46, 0, 8, 0, 0, 0, -20, 0, 14, 0, 0, 0, 28, 0, -24, 0, -8, 0, -8, 0, 2, 0, -1, 0, 0, 0, 0, 0, 21, 0, -12, 0, 44, 0, -10, 0, 2, 0, 0, 0, 20, 0, 8, 0, -22, 0, -4, 0, 14, 0, -16, 0, 0, 0, 20, 0, -6, 0, 22, 0, 18, 0, 0, 0, -2, 0, 0, 0, 29, 0, -2, 0, 12, 0, 16, 0, -12, 0, 20, 0, 0, 0, -2, 0, 10, 0, 28, 0, 8, 0, 8, 0, 20, 0, 0, 0, -10, 0, -60, 0, -6, 0, 56, 0, 30, 0, -18, 0, 0, 0, -92, 0, 0, 0, -40, 0, 15, 0, 4, 0, -10, 0, 0, 0, 24, 0, -12, 0, -26, 0, -78, 0, 20, 0, -8, 0, 0, 0, 40, 0, 10, 0, 20, 0, -138, 0, 0, 0, -4, 0, 0, 0, -108, 0, 16, 0, 16, 0, -84, 0, -8, 0, -8, 0, 0, 0, -14, 0, -108, 0, -8, 0, 23, 0, -44, 0, -42, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 665467
{'conductor': 7, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '168.2.q.a', 'target_level': 168, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 665468
{'conductor': 28, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '336.2.q.e', 'target_level': 336, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 665469
{'conductor': 21, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '504.2.s.d', 'target_level': 504, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 665470
{'conductor': 84, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1008.2.s.f', 'target_level': 1008, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 665471
{'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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1176.2.a.c', 'target_level': 1176, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 665472
{'conductor': 7, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1176.2.a.g', 'target_level': 1176, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 665473
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1176.2.q.g', 'target_level': 1176, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 665474
{'conductor': 56, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1344.2.q.d', 'target_level': 1344, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 665475
{'conductor': 56, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1344.2.q.o', 'target_level': 1344, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 665476
{'conductor': 28, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2352.2.a.g', 'target_level': 2352, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 665477
{'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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2352.2.a.u', 'target_level': 2352, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 665478
{'conductor': 28, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2352.2.q.f', 'target_level': 2352, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 665479
{'conductor': 3, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3528.2.a.i', 'target_level': 3528, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 665480
{'conductor': 21, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3528.2.a.q', 'target_level': 3528, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 665481
{'conductor': 21, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3528.2.s.p', 'target_level': 3528, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 665482
{'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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '7056.2.a.t', 'target_level': 7056, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 665483
{'conductor': 84, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '7056.2.a.bk', 'target_level': 7056, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 665484
{'conductor': 8, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '9408.2.a.p', 'target_level': 9408, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 665485
{'conductor': 56, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '9408.2.a.ba', 'target_level': 9408, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 665486
{'conductor': 8, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '9408.2.a.cf', 'target_level': 9408, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 665487
{'conductor': 56, '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': '1176.2.a.c', 'source_level': 1176, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 69, 'target_is_minimal': False, 'target_label': '9408.2.a.cq', 'target_level': 9408, 'twist_class_label': '168.2.q.a', 'twist_class_level': 168, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1744800
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 2}
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id: 1744801
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 3}
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id: 1744802
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 5}
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id: 1744803
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 7}
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id: 1744804
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 11}
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id: 1744805
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 13}
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id: 1744806
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 17}
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id: 1744807
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 19}
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id: 1744808
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 23}
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id: 1744809
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 29}
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id: 1744810
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 31}
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id: 1744811
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 37}
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id: 1744812
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 41}
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id: 1744813
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 43}
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id: 1744814
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 47}
-
id: 1744815
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 53}
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id: 1744816
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 59}
-
id: 1744817
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 61}
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id: 1744818
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 67}
-
id: 1744819
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 71}
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id: 1744820
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 73}
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id: 1744821
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 79}
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id: 1744822
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 83}
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id: 1744823
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 89}
-
id: 1744824
{'charpoly_factorization': [[[-17, 1], 1]], 'hecke_orbit_code': 9007199288296600, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '1176.2.a.c', 'level': 1176, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 101767000
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{'hecke_orbit_code': 9007199288296600, 'n': 996, 'trace_an': 0}
-
id: 101767996
{'hecke_orbit_code': 9007199288296600, 'n': 997, 'trace_an': 26}
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id: 101767997
{'hecke_orbit_code': 9007199288296600, 'n': 998, 'trace_an': 0}
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id: 101767998
{'hecke_orbit_code': 9007199288296600, 'n': 999, 'trace_an': -8}
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id: 101767999
{'hecke_orbit_code': 9007199288296600, 'n': 1000, 'trace_an': 0}