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mf_newforms • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [784, 3, [687, 197, 689], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 177, 'conrey_indexes': [177, 753], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, -2, 1]], [5, [16, -4, 1]], [11, [0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532946435703568, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '784.2.i.j', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '56.2.a.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(2-2\\zeta_{6})q^{3}+4\\zeta_{6}q^{5}-\\zeta_{6}q^{9}+8q^{15}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '784.2.i', 'trace_display': [0, 2, 4, 0], 'trace_hash': 343088696604206842, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.949', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.181', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.331', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.292', 'prec': 17}, {'__RealLiteral__': 0, 'data': '100.942', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, 'traces': [2, 0, 2, 0, 4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 16, 0, 2, 0, -2, 0, 0, 0, 8, 0, -11, 0, 8, 0, 4, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, -4, 0, -16, 0, 4, 0, -4, 0, 0, 0, -4, 0, 10, 0, 0, 0, -8, 0, 6, 0, -4, 0, 0, 0, 0, 0, -12, 0, 32, 0, 0, 0, 14, 0, 22, 0, 0, 0, -8, 0, 11, 0, -12, 0, 16, 0, 4, 0, -10, 0, 0, 0, -8, 0, 8, 0, -4, 0, 0, 0, -12, 0, -12, 0, 0, 0, -12, 0, -10, 0, 24, 0, 12, 0, -32, 0, 0, 0, 0, 0, 11, 0, -4, 0, -48, 0, -16, 0, -16, 0, 14, 0, 0, 0, 16, 0, -2, 0, -36, 0, -16, 0, 0, 0, 8, 0, 0, 0, 2, 0, 16, 0, -4, 0, 32, 0, 0, 0, -20, 0, 0, 0, 16, 0, 0, 0, -24, 0, -26, 0, -2, 0, -8, 0, 0, 0, -12, 0, -4, 0, 16, 0, -16, 0, -24, 0, 0, 0, 0, 0, -8, 0, 18, 0, 0, 0, -36, 0, -4, 0, 24, 0, 0, 0, -8, 0, 8, 0, 0, 0, -40, 0, 0, 0, -32, 0, 0, 0, -28, 0, 0, 0, 48, 0, 22, 0, 14, 0, 16, 0, 0, 0, -26, 0, 16, 0, -32, 0, 32, 0, 2, 0, -10, 0, 0, 0, 0, 0, -12, 0, 28, 0, 0, 0, 16, 0, -18, 0, 0, 0, -2, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [2, -2], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [8, 0], [0, 0], [2, -2], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [0, 8], [0, 0], [-11, 11], [0, 0], [4, 0], [0, 0], [2, 0], [0, 0], [4, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [-8, 0], [0, 0], [4, -4], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [10, -10], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [6, -6], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-12, 12], [0, 0], [16, 0], [0, 0], [0, 0], [0, 0], [14, -14], [0, 0], [0, 22], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [11, -11], [0, 0], [-6, 0], [0, 0], [8, 0], [0, 0], [4, -4], [0, 0], [0, -10], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [8, -8], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [2, -2], [0, 4], [0, 0], [0, 0], [0, 0], [2, -2], [0, -2], [0, 8], [2, 0], [4, -4], [0, 6], [-2, 0], [-8, 0], [0, -4], [10, -10], [6, -6], [0, -4], [-12, 12], [0, 0], [14, -14], [0, -8], [-6, 0], [0, -10], [-2, 0], [-12, 12], [0, -12], [0, -12], [-10, 10], [6, 0], [-8, 0], [0, 14], [-2, 2], [-18, 0], [0, 2], [16, -16], [0, 0], [0, 16], [-12, 0], [0, -8], [-4, 4], [8, 0], [0, -8], [18, -18], [-18, 0], [-4, 4], [-20, 0], [24, 0], [14, -14], [0, 16], [0, -26], [16, 0], [2, -2], [14, 0], [0, -18], [0, 0], [24, -24], [0, 32], [-22, 22], [-6, 0], [-10, 10], [-12, 0], [2, 0], [-24, 24], [0, -14], [0, -6], [0, 8], [14, 0], [-24, 24], [8, 0], [30, -30], [0, 0], [8, -8], [0, 34], [0, 0], [0, 12], [-10, 10], [0, 8], [0, -30], [-6, 6], [-26, 0], [22, 0], [0, 0], [-26, 0], [0, 24], [0, -4], [-14, 0], [0, -22], [0, 0], [16, 0], [0, 6], [4, -4], [-8, 8], [36, 0], [0, 4], [32, 0], [0, 24], [18, -18], [0, -34], [0, -22], [8, 0], [26, -26], [34, -34], [0, 42], [-16, 16], [-18, 18], [-10, 0], [0, -42], [40, -40], [10, 0], [0, -32], [-10, 10], [6, 0], [6, -6], [-32, 0], [2, -2], [14, 0], [-36, 36], [0, 22], [40, 0], [-20, 20], [10, 0], [0, 24], [12, -12], [0, 14], [10, 0], [0, -10], [0, 36], [-20, 0], [0, -52], [16, -16], [16, 0], [0, 32], [10, 0], [0, 42], [-26, 0], [-4, 4], [22, -22], [-24, 0], [-6, 6], [-30, 0], [0, -6], [8, -8], [-36, 0], [-20, 20], [-36, 0], [-32, 0], [-6, 6], [0, -14], [0, 8], [0, -2], [10, 0], [20, 0], [0, 36], [-28, 28], [8, 0], [0, 40], [0, 2], [18, 0], [12, -12], [0, 40], [10, 0], [24, 0], [0, -26], [54, -54], [-12, 12], [-48, 48], [-52, 52]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 40532946435703568, 'hecke_ring_character_values': [[687, [1, 0]], [197, [1, 0]], [689, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '784.2.i.j', 'level': 784, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [784, 3, [687, 197, 689], [3, 3, 1]], 'conrey_index': 177, 'cusp_dim': 176, 'dim': 36, 'eis_dim': 96, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 549789369104, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '784.2.i', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 272, 'mf_new_dim': 44, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 18, 'sturm_bound': 224, 'trace_bound': 11, 'trace_display': [0, -3, 1, 0], 'traces': [36, 0, -3, 0, 1, 0, 0, 0, -13, 0, 3, 0, 4, 0, 14, 0, 1, 0, -5, 0, 0, 0, 9, 0, -13, 0, 18, 0, 16, 0, 13, 0, -9, 0, 0, 0, -7, 0, -26, 0, 12, 0, -16, 0, -10, 0, 3, 0, 0, 0, -47, 0, -11, 0, -22, 0, -54, 0, -27, 0, -3, 0, 0, 0, 18, 0, 15, 0, -2, 0, 64, 0, 13, 0, 4, 0, 0, 0, 33, 0, 22, 0, 40, 0, -50, 0, 26, 0, 13, 0, 0, 0, 21, 0, -33, 0, 12, 0, 4, 0, 5, 0, -1, 0, 0, 0, -31, 0, 9, 0, -38, 0, 48, 0, -19, 0, 20, 0, 0, 0, -13, 0, 42, 0, -30, 0, 32, 0, -12, 0, -25, 0, 0, 0, 19, 0, -7, 0, 24, 0, 10, 0, 26, 0, -14, 0, 0, 0, -3, 0, 59, 0, -44, 0, -34, 0, -7, 0, 23, 0, 0, 0, 61, 0, 35, 0, -88, 0, -68, 0, -30, 0, -43, 0, 0, 0, 37, 0, -5, 0, -4, 0, -170, 0, -1, 0, 27, 0, 0, 0, 5, 0, 9, 0, -12, 0, 16, 0, 29, 0, 35, 0, 0, 0, -2, 0, -58, 0, -2, 0, -176, 0, 48, 0, 4, 0, 0, 0, -35, 0, 2, 0, 16, 0, -6, 0, -15, 0, 41, 0, 0, 0, -39, 0, 15, 0, 94, 0, 40, 0, -35, 0, 0, 0, 0, 0, 106, 0, -12, 0, 80, 0, 74, 0, 5, 0, -31, 0, 0, 0, -30, 0, 7, 0, -38, 0, -26, 0, -23, 0, -1, 0, 0, 0, -56, 0, -83, 0, 36, 0, -64, 0, 1, 0, -17, 0, 0, 0, 35, 0, 90, 0, -36, 0, 30, 0, 21, 0, -42, 0, 0, 0, 13, 0, 29, 0, -40, 0, -142, 0, 1, 0, 53, 0, 0, 0, -7, 0, -42, 0, 6, 0, 18, 0, 24, 0, -37, 0, 0, 0, -19, 0, 16, 0, -46, 0, 64, 0, 6, 0, 7, 0, 0, 0, 21, 0, -145, 0, -44, 0, 140, 0, -23, 0, 16, 0, 0, 0, -139, 0, 3, 0, -60, 0, 102, 0, -47, 0, -68, 0, 0, 0, -7, 0, -49, 0, 72, 0, 280, 0, -24, 0, 27, 0, 0, 0, -20, 0, 17, 0, 70, 0, 50, 0, 29, 0, -71, 0, 0, 0, -47, 0, 78, 0, 14, 0, 302, 0, 57, 0, 23, 0, 0, 0, -44, 0, -36, 0, 56, 0, 32, 0, -14, 0, 20, 0, 0, 0, 122, 0, 83, 0, 76, 0, 252, 0, -25, 0, -5, 0, 0, 0, -7, 0, 101, 0, 130, 0, 112, 0, 14, 0, 67, 0, 0, 0, -27, 0, -61, 0, 84, 0, -144, 0, -23, 0, -1, 0, 0, 0, 17, 0, -100, 0, -56, 0, 192, 0, -7, 0, -30, 0, 0, 0, -114, 0, -57, 0, -50, 0, -24, 0, -46, 0, -30, 0, 0, 0, 53, 0, -84, 0, -32, 0, -170, 0, 59, 0, 1, 0, 0, 0, 9, 0, -117, 0, -82, 0, -154, 0, 21, 0, -5, 0, 0, 0, -111, 0, 59, 0, -60, 0, -224, 0, -39, 0, 31, 0, 0, 0, -27, 0, 234, 0, 18, 0, -184, 0, 30, 0, 22, 0, 0, 0, 271, 0, -103, 0, 16, 0, 218, 0, 21, 0, 46, 0, 0, 0, -75, 0, -13, 0, -106, 0, -424, 0, -3, 0, 7, 0, 0, 0, -75, 0, 48, 0, 8, 0, -38, 0, -78, 0, -23, 0, 0, 0, -27, 0, -1, 0, -4, 0, -332, 0, 6, 0, -53, 0, 0, 0, 66, 0, -7, 0, 92, 0, 32, 0, 45, 0, -77, 0, 0, 0, 76, 0, -127, 0, 66, 0, -288, 0, 36, 0, -24, 0, 0, 0, 144, 0, 5, 0, -136, 0, -200, 0, -79, 0, 15, 0, 0, 0, 105, 0, -5, 0, -60, 0, 32, 0, 33, 0, 6, 0, 0, 0, -94, 0, 152, 0, -30, 0, 16, 0, 76, 0, 57, 0, 0, 0, -79, 0, 179, 0, 154, 0, 30, 0, -6, 0, 55, 0, 0, 0, -84, 0, 6, 0, -142, 0, 280, 0, 21, 0, -25, 0, 0, 0, -7, 0, 14, 0, -34, 0, 220, 0, -44, 0, 31, 0, 0, 0, 141, 0, -14, 0, 160, 0, -172, 0, 4, 0, 5, 0, 0, 0, 65, 0, -133, 0, -68, 0, 160, 0, 11, 0, 72, 0, 0, 0, -187, 0, -16, 0, 82, 0, -176, 0, -21, 0, 33, 0, 0, 0, 98, 0, 102, 0, -4, 0, 414, 0, 21, 0, 4, 0, 0, 0, 86, 0, -16, 0, -28, 0, -2, 0, 61, 0, 15, 0, 0, 0, 98, 0, 211, 0, -204, 0, 290, 0, -98, 0, -17, 0, 0, 0, 49, 0, 37, 0, -120, 0, -110, 0, -11, 0, -20, 0, 0, 0, -67, 0, 63, 0, -24, 0, -32, 0, -27, 0, -25, 0, 0, 0, -212, 0, 63, 0, -144, 0, -148, 0, 30, 0, -41, 0, 0, 0, 17, 0, -153, 0, 20, 0, 156, 0, -3, 0, -29, 0, 0, 0, 161, 0, 109, 0, -80, 0, -150, 0, -62, 0, 60, 0, 0, 0, 77, 0, -230, 0, -44, 0, 176, 0, 33, 0, 19, 0, 0, 0, -85, 0, 157, 0, 154, 0, -44, 0, -38, 0, -13, 0, 0, 0, -18, 0, -41, 0, 228, 0, 112, 0, 4, 0, 17, 0, 0, 0, -139, 0, -148, 0, 64, 0, 132, 0, -38, 0, -43, 0, 0, 0, 9, 0, 295, 0, 36, 0, -234, 0, 33, 0, -62, 0, 0, 0, 229, 0, -46, 0, 138, 0, -208, 0, 33, 0, 30, 0, 0, 0, 67, 0, 26, 0, -70, 0, -448, 0, 47, 0, -73, 0, 0, 0, -144, 0, -31, 0, -30, 0, 144, 0, 21, 0, 42, 0, 0, 0, -156, 0, -289, 0, 126, 0, -642, 0, 49, 0, 25, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 498459
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '56.2.a.b', 'target_level': 56, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 498460
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '112.2.a.a', 'target_level': 112, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 498461
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '392.2.a.b', 'target_level': 392, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 498462
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '392.2.i.a', 'target_level': 392, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 498463
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '392.2.i.a', 'target_level': 392, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 498464
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '392.2.i.e', 'target_level': 392, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 498465
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '392.2.i.e', 'target_level': 392, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
-
id: 498466
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '448.2.a.c', 'target_level': 448, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
-
id: 498467
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '448.2.a.h', 'target_level': 448, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
-
id: 498468
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '504.2.a.h', 'target_level': 504, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
-
id: 498469
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.a.i', 'target_level': 784, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 498470
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.i.b', 'target_level': 784, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 498471
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.i.b', 'target_level': 784, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 498472
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '784.2.i.j', 'target_level': 784, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 498473
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '784.2.i.j', 'target_level': 784, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 498474
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1008.2.a.m', 'target_level': 1008, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 498475
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1400.2.a.a', 'target_level': 1400, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 498476
{'conductor': 140, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1400.2.g.b', 'target_level': 1400, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 498477
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1792.2.b.a', 'target_level': 1792, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '112.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 498478
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1792.2.b.h', 'target_level': 1792, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 498479
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2800.2.a.bd', 'target_level': 2800, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 498480
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2800.2.g.g', 'target_level': 2800, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 498481
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3136.2.a.c', 'target_level': 3136, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 498482
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3136.2.a.w', 'target_level': 3136, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 498483
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3528.2.a.b', 'target_level': 3528, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 498484
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3528.2.s.a', 'target_level': 3528, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 498485
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3528.2.s.a', 'target_level': 3528, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 498486
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3528.2.s.ba', 'target_level': 3528, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 498487
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3528.2.s.ba', 'target_level': 3528, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 498488
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4032.2.a.a', 'target_level': 4032, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '168.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 498489
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4032.2.a.d', 'target_level': 4032, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '168.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 498490
{'conductor': 308, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '6776.2.a.h', 'target_level': 6776, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '308.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 498491
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '7056.2.a.c', 'target_level': 7056, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 498492
{'conductor': 364, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '9464.2.a.h', 'target_level': 9464, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '364.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 498493
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '784.2.i.j', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '9800.2.a.bj', 'target_level': 9800, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '140.s', 'twisting_char_orbit': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1325550
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 2}
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id: 1325551
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 3}
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id: 1325552
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 5}
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id: 1325553
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 7}
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id: 1325554
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 11}
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id: 1325555
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 13}
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id: 1325556
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 17}
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id: 1325557
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 19}
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id: 1325558
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 23}
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id: 1325559
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 29}
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id: 1325560
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 31}
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id: 1325561
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 37}
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id: 1325562
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 41}
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id: 1325563
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 43}
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id: 1325564
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 47}
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id: 1325565
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 53}
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id: 1325566
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 59}
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id: 1325567
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 61}
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id: 1325568
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 67}
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id: 1325569
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 71}
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id: 1325570
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 73}
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id: 1325571
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 79}
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id: 1325572
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 83}
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id: 1325573
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 40532946435703568, 'p': 89}
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id: 1325574
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 40532946435703568, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 10, 'label': '784.2.i.j', 'level': 784, '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: 209153000
{'hecke_orbit_code': 40532946435703568, 'n': 1, 'trace_an': 2}
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id: 209153001
{'hecke_orbit_code': 40532946435703568, 'n': 2, 'trace_an': 0}
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id: 209153002
{'hecke_orbit_code': 40532946435703568, 'n': 3, 'trace_an': 2}
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id: 209153003
{'hecke_orbit_code': 40532946435703568, 'n': 4, 'trace_an': 0}
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id: 209153004
{'hecke_orbit_code': 40532946435703568, 'n': 5, 'trace_an': 4}
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id: 209153005
{'hecke_orbit_code': 40532946435703568, 'n': 6, 'trace_an': 0}
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