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mf_newforms • Show schema
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{'Nk2': 308, 'analytic_conductor': 0.614848095563859, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 1], [11, 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': [77, 1, [45, 57], [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': [[2, [0, 1]], [3, [3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33554509, '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': True, 'label': '77.2.a.a', 'level': 77, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [7, 11], 'level_radical': 77, 'minimal_twist': '77.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}-2q^{4}-q^{5}-q^{7}+6q^{9}-q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/77/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '77.2.a', 'trace_display': [0, -3, -1, -1], 'trace_hash': 199318774382275402, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.960', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.816', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [1, 0, -3, -2, -1, 0, -1, 0, 6, 0, -1, 6, -4, 0, 3, 4, 2, 0, -6, 2, 3, 0, -5, 0, -4, 0, -9, 2, 10, 0, 1, 0, 3, 0, 1, -12, -5, 0, 12, 0, -2, 0, -8, 2, -6, 0, 8, -12, 1, 0, -6, 8, -6, 0, 1, 0, 18, 0, 3, -6, -2, 0, -6, -8, 4, 0, -3, -4, 15, 0, 1, 0, 10, 0, 12, 12, 1, 0, 6, -4, 9, 0, 12, -6, -2, 0, -30, 0, -15, 0, 4, 10, -3, 0, 6, 0, -5, 0, -6, 8, -12, 0, -12, 0, -3, 0, -10, 18, 4, 0, 15, -4, -19, 0, 5, -20, -24, 0, -2, 0, 1, 0, 6, -2, 9, 0, 2, 0, 24, 0, 18, -6, 6, 0, 9, 0, -3, 0, -10, -2, -24, 0, 4, 24, -10, 0, -3, 10, -22, 0, 6, 0, 12, 0, -1, -24, 7, 0, 18, 0, 5, 0, 4, 4, -3, 0, -2, 0, 3, 0, -36, 16, 16, 0, 4, -4, -9, 0, 1, 12, 5, 0, 6, 0, 5, 0, -2, -16, 9, 0, 5, 24, 14, 0, -12, -2, 18, 0, -8, 0, 9, 0, -10, 12, 2, 0, -30, -16, 6, 0, -2, 12, -3, 0, 8, 0, -1, 0, -30, -2, -8, 0, 1, 0, -24, 0, 4, -36, -7, 0, -3, 0, 6, 0, -8, -6, -18, 0, 4, 12, -12, 0, 0, 4, -1, 0, 24, 0, -36, 0, -21, 12, 5, 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32, -36, -12, 0, 2, 12, 2, 0, 18, -12, 8, 0, 10, 0, -3, 0, -1, -18, 32, 0, -15, 0, -4, 0, -24, 6, -12, 0, -60, 0, -6, 0, -15, 20, 14, 0, 32, 4, 6, 0, 20, 48, 19, 0, -9, 0, -18, 0, -20, -8, -15, 0, 20, -48, -25, 0, -42, 20, -12, 0, 6, 0, 24, 0, 36, 6, -6, 0, -54, -20, 30, 0, 2, 44, 24, 0, -48, 0, 8, 0, -18, -12, -1, 0, -10, 0, 30, 0, -32, -24, 16, 0, -6, 0, -30, 0, 17, 2, 45, 0, 15, 48, 11, 0, -18, -14, -10, 0, 27, 0, 6, 0, -2, -36, -4, 0, 6, 0, 15, 0, -29, -10, -24, 0, -21, 0, -3, 0, 3, -8, -17, 0, -18, -8, 60, 0, -2, 6, 35, 0, 24, 0, -6, 0, -50, 4, -3, 0, 2, 0, 4, 0, 36, -6, 38, 0, 5, 0, -12, 0, 12, 72, 3, 0, 21, -32, 24, 0, 15, -32, 6, 0, 10, 0, -4, 0, -18, -8, 0, 0, 30, 8, 24, 0, 12, 18, 39, 0, 36, 0, -5, 0, -4, -2, -12, 0, -11, -24, 12, 0, 36, -10, -40, 0, -19, 0, -27, 0, -16, -12, -4, 0, 3, 0, 3, 0, -18, -10, -72, 0, -24, 0, 22, 0, 72, 4, 10, 0, -23, 32, 63, 0, -6, -18, 38, 0, -15, 0, -48, 0, -4, -10, -12, 0, -12, -48, 40, 0, 18, -28, -6, 0, -4, 0, -15, 0, 12, 24, -1, 0, -90, 4, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-3], [-2], [-1], [0], [-1], [0], [6], [0], [-1], [6], [-4], [0], [3], [4], [2], [0], [-6], [2], [3], [0], [-5], [0], [-4], [0], [-9], [2], [10], [0], [1], [0], [3], [0], [1], [-12], [-5], [0], [12], [0], [-2], [0], [-8], [2], [-6], [0], [8], [-12], [1], [0], [-6], [8], [-6], [0], [1], [0], [18], [0], [3], [-6], [-2], [0], [-6], [-8], [4], [0], [-3], [-4], [15], [0], [1], [0], [10], [0], [12], [12], [1], [0], [6], [-4], [9], [0], [12], [-6], [-2], [0], [-30], [0], [-15], [0], [4], [10], [-3], [0], [6], [0], [-5], [0], [-6], [8]], 'ap': [[0], [-3], [-1], [-1], [-1], [-4], [2], [-6], [-5], [10], [1], [-5], [-2], [-8], [8], [-6], [3], [-2], [-3], [1], [10], [6], [12], [-15], [-5], [-12], [-12], [-10], [4], [-19], [2], [18], [-3], [-10], [-22], [6], [7], [4], [-2], [16], [1], [5], [5], [14], [18], [-8], [-2], [1], [4], [-7], [6], [4], [-12], [-21], [-6], [18], [-18], [16], [24], [-4], [0], [-6], [-28], [8], [-23], [9], [-17], [-18], [14], [-34], [9], [8], [-11], [-4], [-29], [17], [9], [18], [-6], [-26], [16], [22], [-20], [-25], [-14], [-39], [15], [8], [18], [13], [3], [-28], [-13], [-30], [44], [0], [-31], [7], [32], [32], [-24], [14], [20], [-18], [-20], [-25], [36], [30], [-48], [8], [-10], [16], [-30], [17], [27], [15], [-29], [-21], [-17], [-2], [35], [4], [38], [12], [15], [0], [39], [-11], [-19], [-4], [-18], [-24], [-23], [38], [-48], [40], [-6], [-22], [23], [30], [-22], [18], [-25], [20], [-29], [45], [-34], [-28], [55], [52], [-38], [27], [-44], [-2], [-40], [0], [48], [-30], [36], [58], [5], [44], [-34], [29], [-31], [-27], [-32], [-12]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 33554509, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '77.2.a.a', 'level': 77, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[7, -1], [11, 1]], 3, 2], [[[7, 1], [11, 1]], 1, 1], [[[7, 1], [11, -1]], 1, 1]], 'ALdims': [1, 1, 3, 0], 'Nk2': 308, 'analytic_conductor': 0.614848095563859, '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': [77, 1, [45, 57], [1, 1]], 'conrey_index': 1, 'cusp_dim': 7, 'dim': 5, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33554509, 'hecke_orbit_dims': [1, 1, 1, 2], 'label': '77.2.a', 'level': 77, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 10, 'mf_new_dim': 5, 'num_forms': 4, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 5, 'sturm_bound': 16, 'trace_bound': 3, 'trace_display': [1, 2, -4, 1], 'traces': [5, 1, 2, 1, -4, -8, 1, -3, 11, -2, -3, 8, -2, -1, -2, 5, -2, -19, 0, -14, 4, 1, -10, -16, -3, 14, 2, 7, 6, 16, 6, 5, 2, -6, 2, 9, -8, 20, 8, 6, -10, -12, 28, -3, -26, 16, 8, -12, 5, -1, 4, 18, -10, -24, 0, 3, 4, 14, -2, -20, -22, 20, -3, -35, -20, 12, 30, -2, -14, 2, -14, -23, -2, -26, 12, 20, -3, 8, 4, 14, 21, -6, 28, 0, -24, 12, -60, -3, -20, 38, -2, -4, 2, -20, 4, 40, -8, 1, -9, -5, -42, 8, 0, -2, 0, -26, 0, 92, 10, -2, 26, -1, 0, 0, 30, 22, -26, -8, -14, 32, 5, -10, 12, -52, 42, -21, 36, -3, 72, -28, 32, -12, 12, 28, -38, -22, 8, 32, -16, -22, -24, -32, 10, 9, -32, 2, 2, -30, -10, 8, -20, 20, 42, -1, 14, -48, 12, -32, 28, -10, 8, -71, 36, -66, -6, -60, -4, -4, -5, 12, -68, 36, -2, -32, 7, -7, -2, -6, -2, -10, -16, 6, -4, 32, 66, 80, 10, 24, 28, -40, -38, 4, 2, 50, -24, 1, 54, 21, -24, 3, 30, 6, -2, 40, 48, 44, -92, -38, 0, 24, 8, 54, -10, 12, -24, -8, -16, -34, -60, 18, 20, 8, 6, -5, -39, 18, -20, -88, 16, -32, -8, 38, -14, 14, -8, 16, 28, -14, 8, 32, -46, 1, 28, -6, -4, 88, 40, -20, 40, 12, -10, 35, 2, -32, -44, -3, -38, -56, 14, 12, 50, 92, -4, 4, -16, 20, 34, 48, 22, 48, 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-32, 24, -17, 12, -24, -34, 56, 80, -16, -6, -11, 44, -14, -32, -40, -28, -14, -64, 4, 32, -26, 124, -12, -8, 8, 12, 8, -17, 52, 64, -4, -28, -32, 20, -4, 46, 70, -3, -116, -22, -24, 34, 50, 84, -8, 12, 94, -2, -1, -16, 64, -24, -58, 18, -36, 6, 140, 64, 18, 12, 26, 76, 128, -34, 84, 25, 16, 18, 0, -52, -26, -90, -14, 40, -103, -80, 19, -148, -4, 4, 0, -2, 34, 68, -114, 60, 8, 4, 16, 4, 38, -10, 16, -4, 150, 40, -16, -88, 16, -46, -12, 0, 24, -4, 72, -28, -60, 24, 20, -72, -10, -6, -20, 12, 3, -14, 48, -6, 52, -34, 12, 22, 32, -75, 42, -4, 10, -72, 42, -18, -64, 84, -2, -60, 72, -2, -26, -20, 6, -28, 64, -82, -32, -80, -40, -62, -27, 6, -14, -32, 20, 64, -48, -76, 30, 10, 0, 32, 28, -20, -100, 88, -60, -8, 14, -20, -32, 74, -56, 22, 20, -74, 34, 0, -57, 2, 16, 22, 44, -104, 0, 44, -4, -34, -1, 82, -28, 12, -64, -26, -134, 1, 44, 92, 16, 4, -10, -116, -23, -62, 64, -4, 49, 24, 50, -10, 68, -8, 64, 144, 18, 10, -8, 4, 16, 72, -24, -74, -34, -4, 61, 72, -78, -66, -8, -10, 22, 65, -4, -32, 8, 14, -68, -2, -80, -14, 154, -24, -40, -96, -14, -40, 0, -32, -26, 180, -6, -4, -96, -6, 32, 102, 36, -4, 48, 62, 132, -2, -40, 34, -144, 30, -36, -12, -68, 24, -84, 82, 2, -28, -78, -74, -148, 16, 90, 20, 86, -32, 112, -10, -16, 4, 5, -82, 64, -16, -106, -68, 64, 2, 17, 28, -58, -68, 120, 4, 0, -24, -5, -78, 18, -14, -44, 4, 0, 44, 22, 90, 142, -8, 50, -64, 14, 32, -64, 96, 114, 14, 76, 118, -120, -42, -12, -16, -12, 20, -80, -36, 120, 56, 66, -2, 64, 36, -20, -194, 72, 94, 8, 99, 86, 0, 12, 28, -140, 1, -50, -16, 6, 58, 36, -30, -10, 80, -36, 42, 8, 62, -136, -16, 0, 40, 40, 20, -46, 14, -28, 12, 64, 64, 22, -134, 0, 0, 24, 38, 0, 20, -10, 16, -19, 4, -84, -50, -36, -36, 56, 16, 12, -43, 20, -48, -160, -70, 3, -88, -30, -100, 47, 12, 14, -24, -54, 2, 8, 4, -68, -114, -12, 160, 96, -28, -102, -36, -14, -28, -96, 120, -64, 184, -50, -120, 4, 78, 24, -104, -90, -30, -160, 0, -30, -120, 160, 8, -2, 50, 12, 26, -64, 18, 48, 28, -28, -72, 12, -122, 160, -76, -20, 6, 2, 70, -146, -54, 64, 36, -24, 34, -24, 31, -84, -84, 142, 80, 48, 28, -3, 40, -100, -14, 44, 20, -128, -64, -38, 48, -176, 8, -14, 10, 28, 126, 56, 0, -84, 64, 40, -16, -42, 32, 20, 98, -8, -40, 240, 14, -36, -26, -36], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 66894
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '77.2.a.a', 'target_level': 77, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 66895
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '539.2.a.c', 'target_level': 539, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66896
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '539.2.e.c', 'target_level': 539, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 66897
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '539.2.e.f', 'target_level': 539, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 66898
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '693.2.a.c', 'target_level': 693, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66899
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '847.2.a.b', 'target_level': 847, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66900
{'conductor': 11, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '847.2.f.h', 'target_level': 847, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 66901
{'conductor': 11, 'degree': 4, 'multiplicity': 4, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '847.2.f.i', 'target_level': 847, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 66902
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1232.2.a.l', 'target_level': 1232, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66903
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1925.2.a.h', 'target_level': 1925, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66904
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1925.2.b.e', 'target_level': 1925, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 66905
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4851.2.a.j', 'target_level': 4851, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 66906
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4928.2.a.a', 'target_level': 4928, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 66907
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '4928.2.a.bj', 'target_level': 4928, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66908
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '5929.2.a.f', 'target_level': 5929, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66909
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '7623.2.a.j', 'target_level': 7623, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 66910
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '77.2.a.a', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '8624.2.a.a', 'target_level': 8624, 'twist_class_label': '77.2.a.a', 'twist_class_level': 77, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 240775
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 2}
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id: 240776
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 3}
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id: 240777
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 5}
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id: 240778
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 7}
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id: 240779
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 11}
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id: 240780
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 13}
-
id: 240781
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 17}
-
id: 240782
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 19}
-
id: 240783
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 23}
-
id: 240784
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 29}
-
id: 240785
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 31}
-
id: 240786
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 37}
-
id: 240787
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 41}
-
id: 240788
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 43}
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id: 240789
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 47}
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id: 240790
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 53}
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id: 240791
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 59}
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id: 240792
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 61}
-
id: 240793
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 67}
-
id: 240794
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 71}
-
id: 240795
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 73}
-
id: 240796
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 79}
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id: 240797
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 83}
-
id: 240798
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 89}
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id: 240799
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 33554509, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '77.2.a.a', 'level': 77, '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: 58000
{'hecke_orbit_code': 33554509, 'n': 1, 'trace_an': 1}
-
id: 58001
{'hecke_orbit_code': 33554509, 'n': 2, 'trace_an': 0}
-
id: 58002
{'hecke_orbit_code': 33554509, 'n': 3, 'trace_an': -3}
-
id: 58003
{'hecke_orbit_code': 33554509, 'n': 4, 'trace_an': -2}
-
id: 58004
{'hecke_orbit_code': 33554509, 'n': 5, 'trace_an': -1}
-
id: 58005
{'hecke_orbit_code': 33554509, 'n': 6, 'trace_an': 0}
-
id: 58006
{'hecke_orbit_code': 33554509, 'n': 7, 'trace_an': -1}
-
id: 58007
{'hecke_orbit_code': 33554509, 'n': 8, 'trace_an': 0}
-
id: 58008
{'hecke_orbit_code': 33554509, 'n': 9, 'trace_an': 6}
-
id: 58009
{'hecke_orbit_code': 33554509, 'n': 10, 'trace_an': 0}
-
id: 58010
{'hecke_orbit_code': 33554509, 'n': 11, 'trace_an': -1}
-
id: 58011
{'hecke_orbit_code': 33554509, 'n': 12, 'trace_an': 6}
-
id: 58012
{'hecke_orbit_code': 33554509, 'n': 13, 'trace_an': -4}
-
id: 58013
{'hecke_orbit_code': 33554509, 'n': 14, 'trace_an': 0}
-
id: 58014
{'hecke_orbit_code': 33554509, 'n': 15, 'trace_an': 3}
-
id: 58015
{'hecke_orbit_code': 33554509, 'n': 16, 'trace_an': 4}
-
id: 58016
{'hecke_orbit_code': 33554509, 'n': 17, 'trace_an': 2}
-
id: 58017
{'hecke_orbit_code': 33554509, 'n': 18, 'trace_an': 0}
-
id: 58018
{'hecke_orbit_code': 33554509, 'n': 19, 'trace_an': -6}
-
id: 58019
{'hecke_orbit_code': 33554509, 'n': 20, 'trace_an': 2}
-
id: 58020
{'hecke_orbit_code': 33554509, 'n': 21, 'trace_an': 3}
-
id: 58021
{'hecke_orbit_code': 33554509, 'n': 22, 'trace_an': 0}
-
id: 58022
{'hecke_orbit_code': 33554509, 'n': 23, 'trace_an': -5}
-
id: 58023
{'hecke_orbit_code': 33554509, 'n': 24, 'trace_an': 0}
-
id: 58024
{'hecke_orbit_code': 33554509, 'n': 25, 'trace_an': -4}
-
id: 58025
{'hecke_orbit_code': 33554509, 'n': 26, 'trace_an': 0}
-
id: 58026
{'hecke_orbit_code': 33554509, 'n': 27, 'trace_an': -9}
-
id: 58027
{'hecke_orbit_code': 33554509, 'n': 28, 'trace_an': 2}
-
id: 58028
{'hecke_orbit_code': 33554509, 'n': 29, 'trace_an': 10}
-
id: 58029
{'hecke_orbit_code': 33554509, 'n': 30, 'trace_an': 0}
-
id: 58030
{'hecke_orbit_code': 33554509, 'n': 31, 'trace_an': 1}
-
id: 58031
{'hecke_orbit_code': 33554509, 'n': 32, 'trace_an': 0}
-
id: 58032
{'hecke_orbit_code': 33554509, 'n': 33, 'trace_an': 3}
-
id: 58033
{'hecke_orbit_code': 33554509, 'n': 34, 'trace_an': 0}
-
id: 58034
{'hecke_orbit_code': 33554509, 'n': 35, 'trace_an': 1}
-
id: 58035
{'hecke_orbit_code': 33554509, 'n': 36, 'trace_an': -12}
-
id: 58036
{'hecke_orbit_code': 33554509, 'n': 37, 'trace_an': -5}
-
id: 58037
{'hecke_orbit_code': 33554509, 'n': 38, 'trace_an': 0}
-
id: 58038
{'hecke_orbit_code': 33554509, 'n': 39, 'trace_an': 12}
-
id: 58039
{'hecke_orbit_code': 33554509, 'n': 40, 'trace_an': 0}
-
id: 58040
{'hecke_orbit_code': 33554509, 'n': 41, 'trace_an': -2}
-
id: 58041
{'hecke_orbit_code': 33554509, 'n': 42, 'trace_an': 0}
-
id: 58042
{'hecke_orbit_code': 33554509, 'n': 43, 'trace_an': -8}
-
id: 58043
{'hecke_orbit_code': 33554509, 'n': 44, 'trace_an': 2}
-
id: 58044
{'hecke_orbit_code': 33554509, 'n': 45, 'trace_an': -6}
-
id: 58045
{'hecke_orbit_code': 33554509, 'n': 46, 'trace_an': 0}
-
id: 58046
{'hecke_orbit_code': 33554509, 'n': 47, 'trace_an': 8}
-
id: 58047
{'hecke_orbit_code': 33554509, 'n': 48, 'trace_an': -12}
-
id: 58048
{'hecke_orbit_code': 33554509, 'n': 49, 'trace_an': 1}
-
id: 58049
{'hecke_orbit_code': 33554509, 'n': 50, 'trace_an': 0}
-
id: 58050
{'hecke_orbit_code': 33554509, 'n': 51, 'trace_an': -6}
-
id: 58051
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id: 58960
{'hecke_orbit_code': 33554509, 'n': 961, 'trace_an': -30}
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id: 58961
{'hecke_orbit_code': 33554509, 'n': 962, 'trace_an': 0}
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id: 58962
{'hecke_orbit_code': 33554509, 'n': 963, 'trace_an': -60}
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id: 58963
{'hecke_orbit_code': 33554509, 'n': 964, 'trace_an': 24}
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id: 58964
{'hecke_orbit_code': 33554509, 'n': 965, 'trace_an': -14}
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id: 58965
{'hecke_orbit_code': 33554509, 'n': 966, 'trace_an': 0}
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id: 58966
{'hecke_orbit_code': 33554509, 'n': 967, 'trace_an': -34}
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id: 58967
{'hecke_orbit_code': 33554509, 'n': 968, 'trace_an': 0}
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id: 58968
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id: 58969
{'hecke_orbit_code': 33554509, 'n': 970, 'trace_an': 0}
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id: 58970
{'hecke_orbit_code': 33554509, 'n': 971, 'trace_an': 29}
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id: 58971
{'hecke_orbit_code': 33554509, 'n': 972, 'trace_an': 0}
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id: 58972
{'hecke_orbit_code': 33554509, 'n': 973, 'trace_an': 10}
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id: 58973
{'hecke_orbit_code': 33554509, 'n': 974, 'trace_an': 0}
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id: 58974
{'hecke_orbit_code': 33554509, 'n': 975, 'trace_an': -48}
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id: 58975
{'hecke_orbit_code': 33554509, 'n': 976, 'trace_an': -8}
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id: 58976
{'hecke_orbit_code': 33554509, 'n': 977, 'trace_an': -31}
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id: 58977
{'hecke_orbit_code': 33554509, 'n': 978, 'trace_an': 0}
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id: 58978
{'hecke_orbit_code': 33554509, 'n': 979, 'trace_an': 15}
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id: 58979
{'hecke_orbit_code': 33554509, 'n': 980, 'trace_an': 2}
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id: 58980
{'hecke_orbit_code': 33554509, 'n': 981, 'trace_an': 24}
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id: 58981
{'hecke_orbit_code': 33554509, 'n': 982, 'trace_an': 0}
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id: 58982
{'hecke_orbit_code': 33554509, 'n': 983, 'trace_an': -27}
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id: 58983
{'hecke_orbit_code': 33554509, 'n': 984, 'trace_an': 0}
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id: 58984
{'hecke_orbit_code': 33554509, 'n': 985, 'trace_an': -18}
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id: 58985
{'hecke_orbit_code': 33554509, 'n': 986, 'trace_an': 0}
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id: 58986
{'hecke_orbit_code': 33554509, 'n': 987, 'trace_an': 24}
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id: 58987
{'hecke_orbit_code': 33554509, 'n': 988, 'trace_an': -48}
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id: 58988
{'hecke_orbit_code': 33554509, 'n': 989, 'trace_an': 40}
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id: 58989
{'hecke_orbit_code': 33554509, 'n': 990, 'trace_an': 0}
-
id: 58990
{'hecke_orbit_code': 33554509, 'n': 991, 'trace_an': -32}
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id: 58991
{'hecke_orbit_code': 33554509, 'n': 992, 'trace_an': 0}
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id: 58992
{'hecke_orbit_code': 33554509, 'n': 993, 'trace_an': 51}
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id: 58993
{'hecke_orbit_code': 33554509, 'n': 994, 'trace_an': 0}
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id: 58994
{'hecke_orbit_code': 33554509, 'n': 995, 'trace_an': 8}
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id: 58995
{'hecke_orbit_code': 33554509, 'n': 996, 'trace_an': 72}
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id: 58996
{'hecke_orbit_code': 33554509, 'n': 997, 'trace_an': -12}
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id: 58997
{'hecke_orbit_code': 33554509, 'n': 998, 'trace_an': 0}
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id: 58998
{'hecke_orbit_code': 33554509, 'n': 999, 'trace_an': 45}
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id: 58999
{'hecke_orbit_code': 33554509, 'n': 1000, 'trace_an': 0}