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mf_newforms • Show schema
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{'Nk2': 7488, 'analytic_conductor': 14.947995258383688, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 51, 'char_orbit_label': 'by', 'char_order': 6, 'char_parity': 1, 'char_values': [1872, 6, [703, 469, 209, 145], [6, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 433, '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, [12, 0, 1]], [7, [3, -3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22521434144245584, 'hecke_ring_generator_nbound': 7, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1872.2.by.f', 'level': 1872, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '39.2.j.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(2-4\\zeta_{6})q^{5}+(2-\\zeta_{6})q^{7}+(-2-2\\zeta_{6})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1872.2.by', 'trace_display': [0, 0, 0, 3], 'trace_hash': 1794940378685365987, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.132', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [2, -4], [0, 0], [2, -1], [0, 0], [0, 0], [0, 0], [-2, -2], [0, 0], [4, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-4, 2], [0, 0], [0, 0], [0, 0], [6, -6], [0, 0], [-7, 0], [0, 0], [0, 0], [0, 0], [6, -6], [0, 0], [1, -2], [0, 0], [0, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4, 4], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [-2, 4], [0, 0], [-4, 4], [0, 0], [0, 0], [0, 0], [-12, 0], [0, 0], [-12, 12], [0, 0], [0, 0], [0, 0], [-4, 2], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [4, -14], [0, 0], [-5, -5], [0, 0], [0, 0], [0, 0], [-12, 6], [0, 0], [-1, 2], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [11, 0], [0, 0], [0, 0], [0, 0], [8, -16], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-4, -4], [0, 0], [7, -5], [0, 0], [0, 0], [0, 0], [0, 12], [0, 0], [-6, 3], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [2, -4], [2, -1], [-2, -2], [4, -1], [0, 0], [-4, 2], [6, -6], [6, -6], [1, -2], [0, 0], [4, 4], [0, -1], [-2, 4], [-12, 0], [-4, 2], [0, -1], [-5, -5], [-12, 6], [-1, 2], [11, 0], [8, -16], [-4, -4], [-6, 3], [-18, 18], [1, 0], [6, -6], [9, -18], [0, 6], [13, -13], [6, 0], [0, 0], [0, 5], [8, -4], [-2, 4], [11, 0], [22, -11], [-4, -4], [0, -6], [-12, 12], [14, 0], [0, 18], [-9, -9], [-8, -8], [0, 7], [13, -13], [-10, -10], [24, -12], [-16, 32], [18, 0], [0, 0], [24, -12], [0, -12], [0, 0], [-12, 12], [0, 0], [3, 3], [0, 10], [-14, 28], [-11, 11], [20, -10], [-1, 2], [-24, 0], [13, 0], [4, -8], [-6, 3], [-5, 0], [0, 24], [-11, -11], [-6, -6], [-4, 8], [17, -17], [0, 11], [13, 13], [32, -16], [-12, 0], [18, -9], [0, 0], [10, -5], [12, -12], [7, -14], [12, 12], [0, 23], [35, -35], [24, 0], [-44, 22], [-21, -21], [48, -24], [-21, 42], [6, 0], [20, 20], [28, -14], [-6, 6], [18, -36], [0, 30], [10, 10], [24, 0], [-28, 28], [17, -34], [19, 0], [16, 16], [0, 42], [-6, 6], [44, 0], [20, -40], [-18, -18], [2, -4], [-30, 0], [26, -26], [0, 8], [5, 5], [12, -6], [15, -30], [-2, 1], [0, 18], [-22, 11], [18, -18], [36, -36], [0, -48], [-15, -15], [1, -1], [-48, 0], [28, -14], [-25, -25], [12, 0], [-22, 11], [0, 6], [35, 0], [-23, 46], [-26, -26], [-6, -6], [8, -8], [-34, 34], [24, -12], [-4, -4], [60, -30], [-38, 19], [0, 12], [12, -12], [-15, 30], [-14, -14], [0, 32], [-28, 56], [-31, 31], [36, -18], [15, -30], [-18, 0], [-13, 0], [10, -20], [48, -24], [-12, 12], [5, 0], [42, -42], [-44, 44], [-12, 0], [0, -32], [24, -12], [-14, 0], [-6, 12], [-28, -28], [0, 6], [-14, 28], [0, -36], [16, 16], [6, -12], [-16, 16], [0, -35], [-21, 42], [-6, 0], [16, -32], [-48, 24], [0, 18], [14, -7], [-32, 0], [0, -30], [-29, -29], [-30, 60], [-19, 19], [35, -35], [18, -36], [42, 0], [-5, 0], [2, -4], [26, 26], [0, -42], [5, 0], [-6, 12], [-21, -21], [-32, 16], [0, -29], [16, -8], [25, 0], [10, 10], [0, -18], [24, -24], [-5, 10], [0, 53], [34, -68], [6, 0], [0, 0], [0, 5], [25, 25], [-31, 0], [10, 10], [-60, 60], [9, -18], [0, -24], [-36, -36], [0, 28], [-1, 1], [0, 0], [13, -13], [-52, 26], [-32, 16], [-16, 32], [-19, 0], [0, 42], [-14, -14], [-28, 56], [-29, 29], [-1, 2], [4, -8], [-34, 17], [-72, 72], [-61, 0], [-42, 42], [0, -60], [0, 1], [-32, 64], [-5, 5], [59, -59], [34, 34], [30, 0], [-35, 0], [34, -68], [46, -23], [-14, -14], [0, 36], [-30, 30], [12, 12], [-56, 56], [0, -56], [21, 21], [20, -10], [-36, 0], [-22, 11], [6, 6], [-42, 21], [36, -36], [29, 29], [-18, -18], [-26, 52], [5, -5], [66, 0], [-36, 18], [0, 38], [22, 22], [0, 0], [32, -16], [44, 0], [-48, 48], [-1, 2], [61, -61], [32, -16], [0, 1], [12, -6], [6, -12], [-44, 22], [0, 60], [13, 0], [19, -38], [20, 20], [0, -4], [0, 65], [10, 10], [76, -38], [16, -32], [6, -3], [0, -36], [18, -18], [2, 2], [42, 0], [3, 3], [-26, 52], [66, 0], [-65, 0], [-14, 28], [46, -23], [0, -30], [12, -12], [0, 42], [28, 28], [92, -46], [0, 1], [24, 0], [64, 0], [30, -30], [-42, 42], [-45, -45], [0, 13], [-10, 20], [-16, 16]], 'char_orbit_index': 51, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 22521434144245584, 'hecke_ring_character_values': [[703, [1, 0]], [469, [1, 0]], [209, [1, 0]], [145, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1872.2.by.f', 'level': 1872, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7488, 'analytic_conductor': 14.947995258383688, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 51, 'char_orbit_label': 'by', 'char_order': 6, 'char_parity': 1, 'char_values': [1872, 6, [703, 469, 209, 145], [6, 6, 6, 1]], 'conrey_index': 433, 'cusp_dim': 624, 'dim': 68, 'eis_dim': 96, 'eis_new_dim': 4, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 3436007393104, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 8, 8, 16], 'label': '1872.2.by', 'level': 1872, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 720, 'mf_new_dim': 72, 'num_forms': 15, 'prim_orbit_index': 5, 'relative_dim': 34, 'sturm_bound': 672, 'trace_bound': 17, 'trace_display': [0, 0, 0, -3], 'traces': [68, 0, 0, 0, 0, 0, -3, 0, 0, 0, -3, 0, -1, 0, 0, 0, 2, 0, 3, 0, 0, 0, 5, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, -6, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 27, 0, 0, 0, 10, 0, 24, 0, 0, 0, -45, 0, -4, 0, 0, 0, -27, 0, -27, 0, 0, 0, -39, 0, 0, 0, 0, 0, 26, 0, 24, 0, 0, 0, 0, 0, 15, 0, 0, 0, 3, 0, 13, 0, 0, 0, 18, 0, -3, 0, 0, 0, -2, 0, 12, 0, 0, 0, 45, 0, 0, 0, 0, 0, 22, 0, 18, 0, 0, 0, -9, 0, 35, 0, 0, 0, 0, 0, -17, 0, 0, 0, -12, 0, -19, 0, 0, 0, -18, 0, -5, 0, 0, 0, 5, 0, 3, 0, 0, 0, -12, 0, 0, 0, 0, 0, 36, 0, 30, 0, 0, 0, 0, 0, 105, 0, 0, 0, 105, 0, -41, 0, 0, 0, 15, 0, 105, 0, 0, 0, -49, 0, -26, 0, 0, 0, 5, 0, 0, 0, 0, 0, -29, 0, -42, 0, 0, 0, 39, 0, -19, 0, 0, 0, 0, 0, 9, 0, 0, 0, 18, 0, -37, 0, 0, 0, 120, 0, 38, 0, 0, 0, -53, 0, -111, 0, 0, 0, 105, 0, 0, 0, 0, 0, -48, 0, -116, 0, 0, 0, 0, 0, 12, 0, 0, 0, -21, 0, 101, 0, 0, 0, -69, 0, 33, 0, 0, 0, -8, 0, -86, 0, 0, 0, -81, 0, 0, 0, 0, 0, 55, 0, -105, 0, 0, 0, -3, 0, 44, 0, 0, 0, 0, 0, 21, 0, 0, 0, -146, 0, -28, 0, 0, 0, -6, 0, -4, 0, 0, 0, 37, 0, -3, 0, 0, 0, -33, 0, 0, 0, 0, 0, -52, 0, 48, 0, 0, 0, 0, 0, 51, 0, 0, 0, -207, 0, -88, 0, 0, 0, -34, 0, -75, 0, 0, 0, 46, 0, -54, 0, 0, 0, -6, 0, 0, 0, 0, 0, 43, 0, -75, 0, 0, 0, 18, 0, 110, 0, 0, 0, 0, 0, -9, 0, 0, 0, 10, 0, 55, 0, 0, 0, -150, 0, 10, 0, 0, 0, 104, 0, -159, 0, 0, 0, -117, 0, 0, 0, 0, 0, -146, 0, 22, 0, 0, 0, 0, 0, -15, 0, 0, 0, 18, 0, 2, 0, 0, 0, 69, 0, -42, 0, 0, 0, 3, 0, 64, 0, 0, 0, 125, 0, 0, 0, 0, 0, -41, 0, 201, 0, 0, 0, 45, 0, 22, 0, 0, 0, 0, 0, -75, 0, 0, 0, 192, 0, -32, 0, 0, 0, 15, 0, -81, 0, 0, 0, -12, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 94, 0, 0, 0, 0, 0, 69, 0, 0, 0, 279, 0, -20, 0, 0, 0, -12, 0, 57, 0, 0, 0, -77, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, -35, 0, -111, 0, 0, 0, 66, 0, 40, 0, 0, 0, 0, 0, -22, 0, 0, 0, -30, 0, -103, 0, 0, 0, 204, 0, 15, 0, 0, 0, 102, 0, -90, 0, 0, 0, 192, 0, 0, 0, 0, 0, 112, 0, -84, 0, 0, 0, 0, 0, -36, 0, 0, 0, -30, 0, -109, 0, 0, 0, -103, 0, 87, 0, 0, 0, -5, 0, -24, 0, 0, 0, -181, 0, 0, 0, 0, 0, -82, 0, -138, 0, 0, 0, -111, 0, 34, 0, 0, 0, 0, 0, -56, 0, 0, 0, -212, 0, 16, 0, 0, 0, -207, 0, -71, 0, 0, 0, 6, 0, -66, 0, 0, 0, 66, 0, 0, 0, 0, 0, -226, 0, 244, 0, 0, 0, 0, 0, -171, 0, 0, 0, -426, 0, -13, 0, 0, 0, 38, 0, -99, 0, 0, 0, 29, 0, 30, 0, 0, 0, -5, 0, 0, 0, 0, 0, 53, 0, 114, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, -32, 0, 0, 0, 128, 0, 109, 0, 0, 0, -183, 0, -143, 0, 0, 0, -79, 0, 159, 0, 0, 0, -216, 0, 0, 0, 0, 0, 32, 0, 398, 0, 0, 0, 0, 0, -54, 0, 0, 0, -78, 0, -280, 0, 0, 0, 117, 0, 24, 0, 0, 0, 63, 0, 184, 0, 0, 0, 239, 0, 0, 0, 0, 0, 59, 0, 339, 0, 0, 0, 261, 0, 91, 0, 0, 0, 0, 0, -71, 0, 0, 0, 308, 0, 5, 0, 0, 0, 111, 0, -36, 0, 0, 0, 63, 0, -39, 0, 0, 0, 195, 0, 0, 0, 0, 0, 218, 0, -146, 0, 0, 0, 0, 0, 27, 0, 0, 0, 507, 0, -207, 0, 0, 0, 67, 0, 228, 0, 0, 0, -44, 0, 304, 0, 0, 0, -82, 0, 0, 0, 0, 0, -96, 0, -87, 0, 0, 0, 63, 0, -105, 0, 0, 0, 0, 0, -12, 0, 0, 0, -118, 0, -216, 0, 0, 0, 141, 0, 44, 0, 0, 0, -253, 0, 108, 0, 0, 0, 303, 0, 0, 0, 0, 0, -130, 0, 140, 0, 0, 0, 0, 0, 102, 0, 0, 0, -60, 0, -207, 0, 0, 0, -164, 0, 300, 0, 0, 0, -80, 0, -84, 0, 0, 0, -245, 0, 0, 0, 0, 0, 42, 0, -384, 0, 0, 0, -156, 0, -5, 0, 0, 0, 0, 0, 129, 0, 0, 0, -256, 0, -46, 0, 0, 0, 132, 0, 117, 0, 0, 0, -81, 0, -129, 0, 0, 0, -48, 0, 0, 0, 0, 0, -360, 0, 70, 0, 0, 0, 0, 0, -195, 0, 0, 0, -513, 0, -21, 0, 0, 0, -57, 0, 126, 0, 0, 0, 115, 0, -132, 0, 0, 0, -103, 0, 0, 0, 0, 0, 123, 0, 105, 0, 0, 0, -120, 0, 59, 0, 0, 0, 0, 0, 20, 0, 0, 0, -74, 0, 63, 0, 0, 0, -306, 0, -84, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 831439
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.j.a', 'target_level': 39, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 831440
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.j.a', 'target_level': 39, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 831441
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.q.a', 'target_level': 117, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 831442
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.q.a', 'target_level': 117, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 831443
{'conductor': 156, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.a.e', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 831444
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.b.c', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 831445
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.b.c', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 831446
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.e.f', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 831447
{'conductor': 156, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.e.f', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 831448
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '507.2.j.b', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 831449
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '507.2.j.b', 'target_level': 507, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 831450
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 48, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '624.2.bv.b', 'target_level': 624, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 831451
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 48, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '624.2.bv.b', 'target_level': 624, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 831452
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.w.d', 'target_level': 975, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 831453
{'conductor': 780, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.w.d', 'target_level': 975, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '780.cw', 'twisting_char_orbit': 75, 'weight': 2}
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id: 831454
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 29, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '975.2.bc.c', 'target_level': 975, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 831455
{'conductor': 780, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 29, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '975.2.bc.c', 'target_level': 975, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '780.cb', 'twisting_char_orbit': 54, 'weight': 2}
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id: 831456
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1521.2.a.h', 'target_level': 1521, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 831457
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1521.2.b.f', 'target_level': 1521, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 831458
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1521.2.b.f', 'target_level': 1521, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 831459
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 51, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1872.2.by.f', 'target_level': 1872, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 831460
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 51, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1872.2.by.f', 'target_level': 1872, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 831461
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1872.2.by.f', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '8112.2.a.bu', 'target_level': 8112, 'twist_class_label': '39.2.j.a', 'twist_class_level': 39, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2269400
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22521434144245584, 'p': 2}
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id: 2269401
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22521434144245584, 'p': 3}
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id: 2269402
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 5}
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id: 2269403
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 7}
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id: 2269404
{'charpoly_factorization': [[[12, 6, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 11}
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id: 2269405
{'charpoly_factorization': [[[13, -7, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 13}
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id: 2269406
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22521434144245584, 'p': 17}
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id: 2269407
{'charpoly_factorization': [[[12, 6, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 19}
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id: 2269408
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 23}
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id: 2269409
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 29}
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id: 2269410
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 31}
-
id: 2269411
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22521434144245584, 'p': 37}
-
id: 2269412
{'charpoly_factorization': [[[48, -12, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 41}
-
id: 2269413
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 43}
-
id: 2269414
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 47}
-
id: 2269415
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 22521434144245584, 'p': 53}
-
id: 2269416
{'charpoly_factorization': [[[12, 6, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 59}
-
id: 2269417
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 61}
-
id: 2269418
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 67}
-
id: 2269419
{'charpoly_factorization': [[[108, 18, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 71}
-
id: 2269420
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 73}
-
id: 2269421
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 22521434144245584, 'p': 79}
-
id: 2269422
{'charpoly_factorization': [[[192, 0, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 83}
-
id: 2269423
{'charpoly_factorization': [[[48, 12, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 89}
-
id: 2269424
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 22521434144245584, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 51, 'hecke_orbit': 6, 'label': '1872.2.by.f', 'level': 1872, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44996209
{'hecke_orbit_code': 22521434144245584, 'n': 1, 'trace_an': 2}
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id: 44996210
{'hecke_orbit_code': 22521434144245584, 'n': 2, 'trace_an': 0}
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id: 44996211
{'hecke_orbit_code': 22521434144245584, 'n': 3, 'trace_an': 0}
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id: 44996212
{'hecke_orbit_code': 22521434144245584, 'n': 4, 'trace_an': 0}
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id: 44996213
{'hecke_orbit_code': 22521434144245584, 'n': 5, 'trace_an': 0}
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id: 44996214
{'hecke_orbit_code': 22521434144245584, 'n': 6, 'trace_an': 0}
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id: 44996215
{'hecke_orbit_code': 22521434144245584, 'n': 7, 'trace_an': 3}
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id: 44996216
{'hecke_orbit_code': 22521434144245584, 'n': 8, 'trace_an': 0}
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id: 44996217
{'hecke_orbit_code': 22521434144245584, 'n': 9, 'trace_an': 0}
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id: 44996218
{'hecke_orbit_code': 22521434144245584, 'n': 10, 'trace_an': 0}
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id: 44996219
{'hecke_orbit_code': 22521434144245584, 'n': 11, 'trace_an': -6}
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id: 44996220
{'hecke_orbit_code': 22521434144245584, 'n': 12, 'trace_an': 0}
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id: 44996221
{'hecke_orbit_code': 22521434144245584, 'n': 13, 'trace_an': 7}
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id: 44996222
{'hecke_orbit_code': 22521434144245584, 'n': 14, 'trace_an': 0}
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id: 44996223
{'hecke_orbit_code': 22521434144245584, 'n': 15, 'trace_an': 0}
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id: 44996224
{'hecke_orbit_code': 22521434144245584, 'n': 16, 'trace_an': 0}
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