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mf_newforms • Show schema
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{'Nk2': 2736, 'analytic_conductor': 5.461767498255578, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [684, 3, [343, 533, 325], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 505, 'conrey_indexes': [505, 577], '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': [[5, [1, 1, 1]], [7, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504286855692972, 'hecke_ring_generator_nbound': 5, '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, 19, 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': '684.2.k.b', 'level': 684, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '76.2.e.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\zeta_{6})q^{5}+4q^{11}+\\zeta_{6}q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '684.2.k', 'trace_display': [0, 0, -1, 0], 'trace_hash': 1944353681851736037, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.861', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.122', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.128', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.320', 'prec': 17}, {'__RealLiteral__': 0, 'data': '85.213', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 8, 0, 1, 0, 0, 0, 3, 0, -8, 0, 0, 0, 5, 0, 4, 0, 0, 0, 7, 0, 8, 0, 0, 0, 0, 0, 20, 0, 0, 0, -5, 0, 5, 0, 0, 0, -7, 0, -14, 0, 0, 0, 11, 0, -4, 0, 0, 0, 3, 0, -11, 0, 0, 0, -2, 0, 3, 0, 0, 0, 11, 0, -15, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, -1, 0, 0, 0, 0, 0, -40, 0, -3, 0, 0, 0, -28, 0, -10, 0, 0, 0, 0, 0, 10, 0, 0, 0, -18, 0, 3, 0, 0, 0, 15, 0, 0, 0, 0, 0, -5, 0, -9, 0, 0, 0, 4, 0, -14, 0, 0, 0, 3, 0, -32, 0, 0, 0, -4, 0, -7, 0, 0, 0, 0, 0, -8, 0, 0, 0, -15, 0, 12, 0, 0, 0, 15, 0, 0, 0, 0, 0, 24, 0, 5, 0, 0, 0, -10, 0, 12, 0, 0, 0, -32, 0, -15, 0, 0, 0, -4, 0, 7, 0, 0, 0, 0, 0, -5, 0, 0, 0, -32, 0, 9, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 0, 25, 0, 0, 0, 40, 0, 4, 0, 0, 0, -21, 0, 14, 0, 0, 0, -24, 0, -19, 0, 0, 0, 7, 0, -7, 0, 0, 0, -31, 0, 20, 0, 0, 0, 23, 0, 0, 0, 0, 0, -9, 0, -22, 0, 0, 0, 27, 0, -31, 0, 0, 0, 16, 0, 20, 0, 0, 0, 7, 0, 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0, 0, -12, 0, -25, 0, 0, 0, 25, 0, 0, 0, 0, 0, 49, 0, -12, 0, 0, 0, 28, 0, 66, 0, 0, 0, -10, 0, -35, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 22, 0, 40, 0, 0, 0, 23, 0, 56, 0, 0, 0, 12, 0, -23, 0, 0, 0, 19, 0, -50, 0, 0, 0, 27, 0, -30, 0, 0, 0, -25, 0, 16, 0, 0, 0, 0, 0, -30, 0, 0, 0, -15, 0, 45, 0, 0, 0, 35, 0, 0, 0, 0, 0, 20, 0, 12, 0, 0, 0, -45, 0, 2, 0, 0, 0, 50, 0, 5, 0, 0, 0, -14, 0, 53, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [3, -3], [0, 0], [-5, 2], [0, 0], [0, 0], [0, 0], [0, 5], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, 7], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [10, 0], [0, 0], [0, 0], [0, 0], [-5, 5], [0, 0], [5, -5], [0, 0], [0, 0], [0, 0], [0, -7], [0, 0], [-7, 0], [0, 0], [0, 0], [0, 0], [0, 11], [0, 0], [-4, 4], [0, 0], [0, 0], [0, 0], [3, -3], [0, 0], [0, -11], [0, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [11, -11], [0, 0], [-15, 15], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [13, -13], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [3, -5], [0, 0], [5, -5], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [-1, 1], [0, 0], [4, 0], [0, 1], [3, -3], [-5, 2], [0, 5], [0, 7], [4, 0], [10, 0], [-5, 5], [5, -5], [0, -7], [0, 11], [3, -3], [0, -11], [0, 3], [11, -11], [-15, 15], [13, -13], [0, 0], [0, 3], [5, -5], [0, -1], [0, 0], [-20, 0], [-3, 3], [-14, 0], [0, 3], [15, -15], [0, -5], [0, -9], [3, -3], [-16, 0], [-7, 7], [-4, 0], [0, -15], [15, -15], [12, 0], [0, 5], [-16, 0], [-15, 15], [-2, 0], [0, 7], [9, -9], [25, -25], [20, 0], [2, 0], [-21, 21], [-12, 0], [0, -19], [0, -31], [0, 23], [-9, 9], [27, -27], [-31, 31], [10, 0], [0, 7], [9, -9], [30, 0], [-27, 27], [20, 0], [0, -11], [0, 15], [20, 0], [5, -5], [-5, 5], [10, 0], [-30, 0], [15, -15], [0, -25], [-10, 0], [-12, 0], [-29, 29], [0, 3], [25, -25], [19, -19], [0, 17], [-12, 0], [1, -1], [0, 21], [0, 25], [13, -13], [0, 25], [-22, 0], [-22, 0], [11, -11], [-20, 0], [20, 0], [0, -23], [-8, 0], [-1, 1], [5, -5], [0, 21], [0, 15], [-26, 0], [0, 19], [0, 1], [0, -25], [0, -5], [-36, 0], [-22, 0], [-4, 0], [-10, 0], [15, -15], [0, -5], [0, 45], [-26, 0], [32, 0], [29, -29], [0, -45], [-20, 0], [0, -41], [39, -39], [-19, 19], [-32, 0], [30, 0], [0, 5], [0, -31], [-10, 0], [-10, 0], [-16, 0], [36, 0], [35, -35], [0, -3], [7, -7], [-7, 7], [-30, 0], [13, -13], [-25, 25], [0, -29], [17, -17], [-30, 0], [0, -7], [0, -21], [52, 0], [-18, 0], [18, 0], [0, -21], [0, -9], [0, 31], [0, -7], [30, 0], [-25, 25], [-39, 39], [15, -15], [0, -13], [36, 0], [5, -5], [-6, 0], [0, -25], [0, 25], [-35, 35], [24, 0], [-40, 0], [23, -23], [0, -23], [0, 19], [27, -27], [-25, 25], [45, -45], [35, -35], [10, 0], [-45, 45], [5, -5], [0, 53]], 'char_orbit_index': 11, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4504286855692972, 'hecke_ring_character_values': [[343, [1, 0]], [533, [1, 0]], [325, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '684.2.k.b', 'level': 684, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2736, 'analytic_conductor': 5.461767498255578, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [684, 3, [343, 533, 325], [3, 3, 2]], 'conrey_index': 505, 'cusp_dim': 216, 'dim': 18, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 687228322476, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4], 'label': '684.2.k', 'level': 684, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 264, 'mf_new_dim': 18, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 9, 'sturm_bound': 240, 'trace_bound': 7, 'trace_display': [0, 0, 1, 0], 'traces': [18, 0, 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, -7, 0, 0, 0, 7, 0, -4, 0, 0, 0, -13, 0, -16, 0, 0, 0, 11, 0, 0, 0, 0, 0, 6, 0, -4, 0, 0, 0, 3, 0, 9, 0, 0, 0, 5, 0, 34, 0, 0, 0, 9, 0, -16, 0, 0, 0, 13, 0, 9, 0, 0, 0, 50, 0, -17, 0, 0, 0, 3, 0, 21, 0, 0, 0, -20, 0, 1, 0, 0, 0, 8, 0, 3, 0, 0, 0, 13, 0, 20, 0, 0, 0, -61, 0, -11, 0, 0, 0, 3, 0, -56, 0, 0, 0, -72, 0, -31, 0, 0, 0, 8, 0, -10, 0, 0, 0, -44, 0, -14, 0, 0, 0, -66, 0, -9, 0, 0, 0, 39, 0, 48, 0, 0, 0, -25, 0, 23, 0, 0, 0, 38, 0, 130, 0, 0, 0, -31, 0, -56, 0, 0, 0, -26, 0, 9, 0, 0, 0, -2, 0, -24, 0, 0, 0, 27, 0, -68, 0, 0, 0, 51, 0, 48, 0, 0, 0, 100, 0, -27, 0, 0, 0, 28, 0, -4, 0, 0, 0, -84, 0, 17, 0, 0, 0, 80, 0, -9, 0, 0, 0, 60, 0, -77, 0, 0, 0, -60, 0, -51, 0, 0, 0, -5, 0, -64, 0, 0, 0, -114, 0, 41, 0, 0, 0, -20, 0, 4, 0, 0, 0, -33, 0, -106, 0, 0, 0, 12, 0, 41, 0, 0, 0, 95, 0, 69, 0, 0, 0, -83, 0, -20, 0, 0, 0, 97, 0, 40, 0, 0, 0, 15, 0, 98, 0, 0, 0, -7, 0, 25, 0, 0, 0, 6, 0, 68, 0, 0, 0, 33, 0, -15, 0, 0, 0, 16, 0, 32, 0, 0, 0, 92, 0, -81, 0, 0, 0, 29, 0, 8, 0, 0, 0, -46, 0, 25, 0, 0, 0, -12, 0, 17, 0, 0, 0, -15, 0, -44, 0, 0, 0, -71, 0, -72, 0, 0, 0, 40, 0, -112, 0, 0, 0, -138, 0, -47, 0, 0, 0, -44, 0, 264, 0, 0, 0, -27, 0, 20, 0, 0, 0, -96, 0, -97, 0, 0, 0, 111, 0, 42, 0, 0, 0, -69, 0, -17, 0, 0, 0, 50, 0, 60, 0, 0, 0, -59, 0, 104, 0, 0, 0, -11, 0, 72, 0, 0, 0, -19, 0, 14, 0, 0, 0, 47, 0, -7, 0, 0, 0, 89, 0, 60, 0, 0, 0, 236, 0, -75, 0, 0, 0, 70, 0, -24, 0, 0, 0, -132, 0, 13, 0, 0, 0, 112, 0, -24, 0, 0, 0, 41, 0, 53, 0, 0, 0, -105, 0, 73, 0, 0, 0, 29, 0, -102, 0, 0, 0, -148, 0, -108, 0, 0, 0, 108, 0, -180, 0, 0, 0, -71, 0, 96, 0, 0, 0, -8, 0, -100, 0, 0, 0, 94, 0, 156, 0, 0, 0, -79, 0, 6, 0, 0, 0, 133, 0, 136, 0, 0, 0, 7, 0, -150, 0, 0, 0, -52, 0, 73, 0, 0, 0, 49, 0, 122, 0, 0, 0, 23, 0, -188, 0, 0, 0, 54, 0, 40, 0, 0, 0, 80, 0, -29, 0, 0, 0, 24, 0, 34, 0, 0, 0, -26, 0, 8, 0, 0, 0, 56, 0, -63, 0, 0, 0, -3, 0, -101, 0, 0, 0, -125, 0, -104, 0, 0, 0, -9, 0, -198, 0, 0, 0, -168, 0, 62, 0, 0, 0, -28, 0, 120, 0, 0, 0, -78, 0, -188, 0, 0, 0, -232, 0, 48, 0, 0, 0, 37, 0, -16, 0, 0, 0, -39, 0, 72, 0, 0, 0, 11, 0, -60, 0, 0, 0, -79, 0, -48, 0, 0, 0, -61, 0, 37, 0, 0, 0, -3, 0, 152, 0, 0, 0, 58, 0, -79, 0, 0, 0, 106, 0, 15, 0, 0, 0, 186, 0, -55, 0, 0, 0, 31, 0, 17, 0, 0, 0, -152, 0, -136, 0, 0, 0, 84, 0, 51, 0, 0, 0, 119, 0, 17, 0, 0, 0, -126, 0, -83, 0, 0, 0, -38, 0, 132, 0, 0, 0, -100, 0, -60, 0, 0, 0, 44, 0, 274, 0, 0, 0, -97, 0, 72, 0, 0, 0, 78, 0, -1, 0, 0, 0, 89, 0, 76, 0, 0, 0, -136, 0, -103, 0, 0, 0, 118, 0, 208, 0, 0, 0, 9, 0, 152, 0, 0, 0, 40, 0, -11, 0, 0, 0, 21, 0, -12, 0, 0, 0, -6, 0, 97, 0, 0, 0, -35, 0, 123, 0, 0, 0, -40, 0, 31, 0, 0, 0, -40, 0, 37, 0, 0, 0, 32, 0, 144, 0, 0, 0, 42, 0, 57, 0, 0, 0, 3, 0, 44, 0, 0, 0, -43, 0, -24, 0, 0, 0, 55, 0, -184, 0, 0, 0, -92, 0, -89, 0, 0, 0, -172, 0, -250, 0, 0, 0, -14, 0, -216, 0, 0, 0, -144, 0, -153, 0, 0, 0, 62, 0, 119, 0, 0, 0, -45, 0, -53, 0, 0, 0, 37, 0, 68, 0, 0, 0, -69, 0, -282, 0, 0, 0, 25, 0, -28, 0, 0, 0, -12, 0, -256, 0, 0, 0, 44, 0, -203, 0, 0, 0, 87, 0, 119, 0, 0, 0, 272, 0, -129, 0, 0, 0, 66, 0, 5, 0, 0, 0, -192, 0, 73, 0, 0, 0, 24, 0, -93, 0, 0, 0, 23, 0, -212, 0, 0, 0, -39, 0, 84, 0, 0, 0, 32, 0, -158, 0, 0, 0, 22, 0, 253, 0, 0, 0, 48, 0, 112, 0, 0, 0, 60, 0, -152, 0, 0, 0, 86, 0, 232, 0, 0, 0, 85, 0, 8, 0, 0, 0, -60, 0, 57, 0, 0, 0, 75, 0, 30, 0, 0, 0, 67, 0, 74, 0, 0, 0, 61, 0, 16, 0, 0, 0, 72, 0, 82, 0, 0, 0, 75, 0, 25, 0, 0, 0, -17, 0, -36, 0, 0, 0, 100, 0, 68, 0, 0, 0, 81, 0, 122, 0, 0, 0, 70, 0, 29, 0, 0, 0, 158, 0, 109, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 450272
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '76.2.e.a', 'target_level': 76, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 450273
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '76.2.e.a', 'target_level': 76, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '57.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 450274
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '304.2.i.a', 'target_level': 304, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 450275
{'conductor': 228, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '304.2.i.a', 'target_level': 304, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '228.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 450276
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '684.2.k.b', 'target_level': 684, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 450277
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '684.2.k.b', 'target_level': 684, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 450278
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1216.2.i.c', 'target_level': 1216, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 450279
{'conductor': 456, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1216.2.i.c', 'target_level': 1216, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '456.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 450280
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1216.2.i.g', 'target_level': 1216, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 450281
{'conductor': 456, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1216.2.i.g', 'target_level': 1216, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '456.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 450282
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1444.2.a.b', 'target_level': 1444, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '57.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 450283
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1444.2.a.c', 'target_level': 1444, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '57.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 450284
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1444.2.e.b', 'target_level': 1444, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 450285
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1444.2.e.b', 'target_level': 1444, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '57.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 450286
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1900.2.i.a', 'target_level': 1900, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 450287
{'conductor': 285, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1900.2.i.a', 'target_level': 1900, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '285.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 450288
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1900.2.s.a', 'target_level': 1900, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 450289
{'conductor': 285, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1900.2.s.a', 'target_level': 1900, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '285.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 450290
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2736.2.s.g', 'target_level': 2736, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 450291
{'conductor': 76, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2736.2.s.g', 'target_level': 2736, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '76.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 450292
{'conductor': 228, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '5776.2.a.f', 'target_level': 5776, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '228.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 450293
{'conductor': 228, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '684.2.k.b', 'source_level': 684, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '5776.2.a.k', 'target_level': 5776, 'twist_class_label': '76.2.e.a', 'twist_class_level': 76, 'twisting_char_label': '228.m', 'twisting_char_orbit': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1205475
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692972, 'p': 2}
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id: 1205476
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692972, 'p': 3}
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id: 1205477
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 5}
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id: 1205478
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692972, 'p': 7}
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id: 1205479
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4504286855692972, 'p': 11}
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id: 1205480
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 13}
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id: 1205481
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 17}
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id: 1205482
{'charpoly_factorization': [[[19, 8, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 19}
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id: 1205483
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 23}
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id: 1205484
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 29}
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id: 1205485
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4504286855692972, 'p': 31}
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id: 1205486
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 4504286855692972, 'p': 37}
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id: 1205487
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 41}
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id: 1205488
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 43}
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id: 1205489
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 47}
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id: 1205490
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 53}
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id: 1205491
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 59}
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id: 1205492
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 61}
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id: 1205493
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 67}
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id: 1205494
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 71}
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id: 1205495
{'charpoly_factorization': [[[225, 15, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 73}
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id: 1205496
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 79}
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id: 1205497
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692972, 'p': 83}
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id: 1205498
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 89}
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id: 1205499
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4504286855692972, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 2, 'label': '684.2.k.b', 'level': 684, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 91720000
{'hecke_orbit_code': 4504286855692972, 'n': 1, 'trace_an': 2}
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id: 91720001
{'hecke_orbit_code': 4504286855692972, 'n': 2, 'trace_an': 0}
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id: 91720002
{'hecke_orbit_code': 4504286855692972, 'n': 3, 'trace_an': 0}
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id: 91720003
{'hecke_orbit_code': 4504286855692972, 'n': 4, 'trace_an': 0}
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id: 91720004
{'hecke_orbit_code': 4504286855692972, 'n': 5, 'trace_an': -1}
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id: 91720005
{'hecke_orbit_code': 4504286855692972, 'n': 6, 'trace_an': 0}
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id: 91720006
{'hecke_orbit_code': 4504286855692972, 'n': 7, 'trace_an': 0}
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id: 91720007
{'hecke_orbit_code': 4504286855692972, 'n': 8, 'trace_an': 0}
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id: 91720008
{'hecke_orbit_code': 4504286855692972, 'n': 9, 'trace_an': 0}
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id: 91720009
{'hecke_orbit_code': 4504286855692972, 'n': 10, 'trace_an': 0}
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id: 91720010
{'hecke_orbit_code': 4504286855692972, 'n': 11, 'trace_an': 8}
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id: 91720011
{'hecke_orbit_code': 4504286855692972, 'n': 12, 'trace_an': 0}
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id: 91720012
{'hecke_orbit_code': 4504286855692972, 'n': 13, 'trace_an': 1}
-
id: 91720013
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{'hecke_orbit_code': 4504286855692972, 'n': 998, 'trace_an': 0}
-
id: 91720998
{'hecke_orbit_code': 4504286855692972, 'n': 999, 'trace_an': 0}
-
id: 91720999
{'hecke_orbit_code': 4504286855692972, 'n': 1000, 'trace_an': 0}