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mf_newforms • Show schema
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{'Nk2': 3872, 'analytic_conductor': 7.729518915659941, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 5, 'char_parity': 1, 'char_values': [968, 5, [727, 485, 849], [5, 5, 3]], 'cm_discs': [], 'conrey_index': 9, 'conrey_indexes': [9, 81, 729, 753], 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [81, -27, 9, -3, 1]], [7, [16, 8, 4, 2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029346808333256, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '968.2.i.i', 'level': 968, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'minimal_twist': '88.2.a.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q-3\\zeta_{10}^{2}q^{3}+3\\zeta_{10}q^{5}-2\\zeta_{10}^{3}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '968.2.i', 'trace_display': [0, 3, 3, -2], 'trace_hash': 147608297053261034, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.892', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '98.370', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.954', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [-6, 6, -6, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -9], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 9, 0, 0], [0, 0, 0, 0], [0, 0, 0, -8], [0, 0, 0, 0], [7, -7, 7, -7], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, -6, 6, -6], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [-18, 0, 0, 0], [0, 0, 0, 0], [0, 0, -8, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 18], [0, 0, 0, 0], [-2, 2, -2, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-12, 12, -12, 12], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [0, 0, 12, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, 0, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 16], [0, 0, 0, 0], [12, -12, 12, -12], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, -2, 2, -2], [0, 0, 0, 0], [0, 0, 0, -9], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [0, 0, -18, 0], [0, 0, 0, 0], [-24, 0, 0, 0], [0, 0, 0, 0], [15, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -21, 0, 0], [0, 0, 0, 0], [0, 0, 0, -12], [0, 0, 0, 0], [7, -7, 7, -7], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, -3, 0], [0, 3, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, -4, 0], [1, 0, 0, 0], [0, 0, 0, -8], [7, -7, 7, -7], [0, 0, 0, 1], [0, 0, -4, 0], [-6, 0, 0, 0], [0, 0, -8, 0], [-2, 2, -2, 2], [0, 0, 0, 1], [0, 4, 0, 0], [-5, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 16], [2, -2, 2, -2], [0, -2, 0, 0], [15, 0, 0, 0], [7, -7, 7, -7], [-10, 10, -10, 10], [0, 0, 0, 16], [0, 0, -2, 0], [14, 0, 0, 0], [0, 0, -7, 0], [0, 4, 0, 0], [2, 0, 0, 0], [0, 15, 0, 0], [0, 0, 0, -22], [0, 18, 0, 0], [0, 0, 18, 0], [0, 0, -11, 0], [4, -4, 4, -4], [16, -16, 16, -16], [0, 0, -18, 0], [0, 0, -5, 0], [0, 5, 0, 0], [0, 0, 0, 9], [0, 4, 0, 0], [-6, 0, 0, 0], [8, 0, 0, 0], [20, -20, 20, -20], [0, 0, 29, 0], [0, 0, 0, 18], [21, -21, 21, -21], [-16, 16, -16, 16], [0, 0, 2, 0], [0, 0, 0, 0], [13, -13, 13, -13], [0, 0, 0, 10], [-14, 0, 0, 0], [0, -26, 0, 0], [0, 0, 0, 0], [-2, 2, -2, 2], [0, 6, 0, 0], [0, 0, -4, 0], [0, 0, 0, 12], [4, 0, 0, 0], [0, 0, -12, 0], [0, 9, 0, 0], [15, -15, 15, -15], [-35, 0, 0, 0], [0, 0, 0, -10], [0, -32, 0, 0], [0, 0, 14, 0], [3, 0, 0, 0], [0, 0, 0, 24], [0, 0, 0, -33], [22, 0, 0, 0], [0, -25, 0, 0], [-1, 1, -1, 1], [0, 0, 0, -13], [-26, 0, 0, 0], [0, 6, 0, 0], [34, -34, 34, -34], [-28, 0, 0, 0], [0, 0, 30, 0], [-26, 26, -26, 26], [0, 0, 0, -13], [32, 0, 0, 0], [0, 0, -9, 0], [21, -21, 21, -21], [0, 12, 0, 0], [28, 0, 0, 0], [27, 0, 0, 0], [0, 33, 0, 0], [0, 8, 0, 0], [0, 0, 9, 0], [0, 0, 0, 8], [0, 0, 0, 20], [0, 0, 30, 0], [0, 0, -13, 0], [0, 0, 0, -37], [0, 44, 0, 0], [12, -12, 12, -12], [0, 0, 0, 0], [0, 0, 0, 42], [-12, 12, -12, 12], [0, 0, 24, 0], [4, 0, 0, 0], [0, 23, 0, 0], [0, 0, 0, -12], [4, 0, 0, 0], [0, -48, 0, 0], [0, 0, 0, 38], [-18, 18, -18, 18], [0, 0, 16, 0], [18, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, -9], [0, 0, -9, 0], [0, -7, 0, 0], [-15, 15, -15, 15], [0, 0, 0, -11], [-22, 0, 0, 0], [-7, 0, 0, 0], [-34, 34, -34, 34], [0, -30, 0, 0], [8, 0, 0, 0], [29, -29, 29, -29], [0, 0, 10, 0], [0, -19, 0, 0], [0, 0, 0, 23], [-35, 0, 0, 0], [0, 0, 0, 4], [-26, 26, -26, 26], [0, -36, 0, 0], [0, 0, 23, 0], [-10, 10, -10, 10], [0, 0, 0, 0], [-16, 0, 0, 0], [0, 0, -6, 0], [0, 24, 0, 0], [0, -1, 0, 0], [0, 12, 0, 0], [0, 0, 26, 0], [0, 0, 0, -34], [31, -31, 31, -31], [-16, 16, -16, 16], [0, 0, 0, 35], [0, 0, 21, 0], [0, -26, 0, 0], [24, 0, 0, 0], [11, 0, 0, 0], [0, 16, 0, 0], [0, 0, -56, 0], [-19, 0, 0, 0], [0, 0, -28, 0], [0, 0, 0, -34], [0, -28, 0, 0], [-36, 36, -36, 36], [0, -50, 0, 0], [0, 22, 0, 0], [4, -4, 4, -4], [0, 10, 0, 0], [47, 0, 0, 0], [0, 0, 0, -34], [8, 0, 0, 0], [0, 0, 53, 0], [11, -11, 11, -11], [0, 0, 0, -25], [16, 0, 0, 0], [0, 0, 0, 2]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1, -1, 1], 'hecke_orbit_code': 36029346808333256, 'hecke_ring_character_values': [[727, [1, 0, 0, 0]], [485, [1, 0, 0, 0]], [849, [0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '968.2.i.i', 'level': 968, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3872, 'analytic_conductor': 7.729518915659941, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 5, 'char_parity': 1, 'char_values': [968, 5, [727, 485, 849], [5, 5, 3]], 'conrey_index': 9, 'cusp_dim': 432, 'dim': 108, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 549789369288, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], 'label': '968.2.i', 'level': 968, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'mf_dim': 624, 'mf_new_dim': 108, 'num_forms': 20, 'prim_orbit_index': 3, 'relative_dim': 27, 'sturm_bound': 264, 'trace_bound': 7, 'trace_display': [0, -2, 0, -4], 'traces': [108, 0, -2, 0, 0, 0, -4, 0, -21, 0, 0, 0, -2, 0, 18, 0, 8, 0, 11, 0, 8, 0, 28, 0, -3, 0, 19, 0, 0, 0, -6, 0, 0, 0, -10, 0, -16, 0, -44, 0, -20, 0, -30, 0, -76, 0, -18, 0, -45, 0, -35, 0, 36, 0, 0, 0, 9, 0, 29, 0, 18, 0, 8, 0, 20, 0, 82, 0, 52, 0, 36, 0, 8, 0, -3, 0, 0, 0, 8, 0, -68, 0, 13, 0, -36, 0, 40, 0, -46, 0, -30, 0, -6, 0, -4, 0, 7, 0, 0, 0, -24, 0, 40, 0, 12, 0, 30, 0, 24, 0, 60, 0, 1, 0, -18, 0, 24, 0, -54, 0, 0, 0, -32, 0, 18, 0, -40, 0, 11, 0, -130, 0, -72, 0, -58, 0, 29, 0, -10, 0, -14, 0, 0, 0, 34, 0, -4, 0, -10, 0, -22, 0, 0, 0, 20, 0, 72, 0, 2, 0, 12, 0, 38, 0, 0, 0, 62, 0, -25, 0, 67, 0, 46, 0, 120, 0, 12, 0, 25, 0, 4, 0, 38, 0, 78, 0, 0, 0, 38, 0, 24, 0, 44, 0, 64, 0, 0, 0, -56, 0, -13, 0, -2, 0, 60, 0, -66, 0, 0, 0, -71, 0, 42, 0, -44, 0, -46, 0, -94, 0, -88, 0, -32, 0, -51, 0, 11, 0, -56, 0, 0, 0, -41, 0, -78, 0, 4, 0, -70, 0, -10, 0, -520, 0, -102, 0, -24, 0, -47, 0, 148, 0, 0, 0, 52, 0, -32, 0, 86, 0, -24, 0, 84, 0, -260, 0, 147, 0, -24, 0, 56, 0, -60, 0, 0, 0, -38, 0, -46, 0, -53, 0, -6, 0, -96, 0, -48, 0, -31, 0, 48, 0, -90, 0, 14, 0, 0, 0, 28, 0, -4, 0, -82, 0, 86, 0, -6, 0, 84, 0, 70, 0, 86, 0, -50, 0, 80, 0, 0, 0, 34, 0, 72, 0, -44, 0, -28, 0, 60, 0, -30, 0, -8, 0, 48, 0, 71, 0, 107, 0, 0, 0, 14, 0, 98, 0, 104, 0, 38, 0, 176, 0, 154, 0, 80, 0, 102, 0, 50, 0, -52, 0, 0, 0, 22, 0, -298, 0, 0, 0, -34, 0, 28, 0, -28, 0, -56, 0, -291, 0, -18, 0, -64, 0, 0, 0, -76, 0, 122, 0, -38, 0, -29, 0, -164, 0, -20, 0, -240, 0, -67, 0, -6, 0, 28, 0, 0, 0, -84, 0, 99, 0, 2, 0, -76, 0, -180, 0, -258, 0, 36, 0, -54, 0, -93, 0, -230, 0, 0, 0, 70, 0, 35, 0, 72, 0, 8, 0, 64, 0, 226, 0, 142, 0, 36, 0, 8, 0, 6, 0, 0, 0, -2, 0, 28, 0, -83, 0, 33, 0, -4, 0, 784, 0, -14, 0, 208, 0, -98, 0, 128, 0, 0, 0, -56, 0, -28, 0, -34, 0, 78, 0, -32, 0, 808, 0, 48, 0, 203, 0, 42, 0, -248, 0, 0, 0, 38, 0, -20, 0, -60, 0, -2, 0, 44, 0, 958, 0, -254, 0, -68, 0, 1, 0, 38, 0, 0, 0, -34, 0, 201, 0, 80, 0, 78, 0, 128, 0, 140, 0, 101, 0, -202, 0, 20, 0, 21, 0, 0, 0, 102, 0, 10, 0, -32, 0, 37, 0, 48, 0, -96, 0, 74, 0, 6, 0, 38, 0, -170, 0, 0, 0, 69, 0, -96, 0, -44, 0, 29, 0, 56, 0, 96, 0, 90, 0, 2, 0, -50, 0, 20, 0, 0, 0, -106, 0, -47, 0, 90, 0, -28, 0, -22, 0, 100, 0, -52, 0, 84, 0, -28, 0, 181, 0, 0, 0, 18, 0, 166, 0, 14, 0, -160, 0, 12, 0, -62, 0, -245, 0, 162, 0, -32, 0, -37, 0, 0, 0, -216, 0, -6, 0, -86, 0, -54, 0, -124, 0, -72, 0, 210, 0, -97, 0, 42, 0, -170, 0, 0, 0, -56, 0, -338, 0, 30, 0, -3, 0, -190, 0, -16, 0, -102, 0, -20, 0, -140, 0, 172, 0, 0, 0, 120, 0, 3, 0, -72, 0, -46, 0, 28, 0, -664, 0, 58, 0, -212, 0, -26, 0, 20, 0, 0, 0, 26, 0, 83, 0, 4, 0, 98, 0, -40, 0, -932, 0, 30, 0, -30, 0, 38, 0, 26, 0, 0, 0, 190, 0, 56, 0, 102, 0, 3, 0, 184, 0, -772, 0, 78, 0, 1, 0, 28, 0, 194, 0, 0, 0, -16, 0, 124, 0, -24, 0, -182, 0, 110, 0, -872, 0, 134, 0, -36, 0, 122, 0, 70, 0, 0, 0, -128, 0, -240, 0, 120, 0, 70, 0, 16, 0, -102, 0, -160, 0, 226, 0, 106, 0, 23, 0, 0, 0, 38, 0, -256, 0, -112, 0, -34, 0, -24, 0, -172, 0, -112, 0, -114, 0, 70, 0, 242, 0, 0, 0, -8, 0, 288, 0, -28, 0, 118, 0, -64, 0, 252, 0, 41, 0, -12, 0, -84, 0, -6, 0, 0, 0, -8, 0, -118, 0, 8, 0, 137, 0, 36, 0, -492, 0, 14, 0, -61, 0, 21, 0, -84, 0, 0, 0, 198, 0, 70, 0, -66, 0, 14, 0, 102, 0, 106, 0, 248, 0, 186, 0, 142, 0, -79, 0, 0, 0, -42, 0, 21, 0, -64, 0, 82, 0, -236, 0, -22, 0, -88, 0, -52, 0, -172, 0, -62, 0, 0, 0, 34, 0, 230, 0, 192, 0, -30, 0, 4, 0, 92, 0, -30, 0, 86, 0, 44, 0, -142, 0, 0, 0, -30, 0, -26, 0, -62, 0, -201, 0, -124, 0, 692, 0, -90, 0, 40, 0, -35, 0, -94, 0, 0, 0, -96, 0, -165, 0, 152, 0, 98, 0, -128, 0, -38, 0, 64, 0, 62, 0, -40, 0, -144, 0, 0, 0, -12, 0, -171, 0, -10, 0, -234, 0, 168, 0, 1162, 0, -28, 0, -22, 0, -66, 0, -204, 0, 0, 0, -186, 0, 94, 0, 60, 0, 98, 0, 16, 0, 76, 0, -305, 0, 52, 0, 160, 0, 106, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 595448
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '88.2.a.a', 'target_level': 88, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 595449
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '176.2.a.c', 'target_level': 176, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 595450
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '704.2.a.b', 'target_level': 704, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '88.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 595451
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '704.2.a.l', 'target_level': 704, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '88.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 595452
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '792.2.a.g', 'target_level': 792, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 595453
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '968.2.a.a', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 595454
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '968.2.i.i', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 595455
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '968.2.i.i', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 595456
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '968.2.i.j', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 595457
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '968.2.i.j', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 595458
{'conductor': 132, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1584.2.a.q', 'target_level': 1584, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '132.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 595459
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1936.2.a.l', 'target_level': 1936, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 595460
{'conductor': 55, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2200.2.a.k', 'target_level': 2200, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '55.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 595461
{'conductor': 55, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2200.2.b.a', 'target_level': 2200, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '55.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 595462
{'conductor': 176, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2816.2.c.d', 'target_level': 2816, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '176.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 595463
{'conductor': 176, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2816.2.c.i', 'target_level': 2816, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '176.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 595464
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4312.2.a.l', 'target_level': 4312, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '77.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 595465
{'conductor': 220, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4400.2.a.a', 'target_level': 4400, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '220.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 595466
{'conductor': 220, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4400.2.b.b', 'target_level': 4400, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '220.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 595467
{'conductor': 264, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '6336.2.a.h', 'target_level': 6336, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '264.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 595468
{'conductor': 264, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6336.2.a.k', 'target_level': 6336, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '264.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 595469
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7744.2.a.b', 'target_level': 7744, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '88.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 595470
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '7744.2.a.bk', 'target_level': 7744, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '88.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 595471
{'conductor': 308, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '8624.2.a.c', 'target_level': 8624, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '308.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 595472
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '968.2.i.i', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '8712.2.a.x', 'target_level': 8712, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1548150
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029346808333256, 'p': 2}
-
id: 1548151
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 3}
-
id: 1548152
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 5}
-
id: 1548153
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 7}
-
id: 1548154
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029346808333256, 'p': 11}
-
id: 1548155
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029346808333256, 'p': 13}
-
id: 1548156
{'charpoly_factorization': [[[1296, 216, 36, 6, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 17}
-
id: 1548157
{'charpoly_factorization': [[[256, -64, 16, -4, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 19}
-
id: 1548158
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 36029346808333256, 'p': 23}
-
id: 1548159
{'charpoly_factorization': [[[4096, 512, 64, 8, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 29}
-
id: 1548160
{'charpoly_factorization': [[[2401, -343, 49, -7, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 31}
-
id: 1548161
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 37}
-
id: 1548162
{'charpoly_factorization': [[[256, -64, 16, -4, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 41}
-
id: 1548163
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 36029346808333256, 'p': 43}
-
id: 1548164
{'charpoly_factorization': [[[4096, -512, 64, -8, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 47}
-
id: 1548165
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 53}
-
id: 1548166
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 59}
-
id: 1548167
{'charpoly_factorization': [[[256, -64, 16, -4, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 61}
-
id: 1548168
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 36029346808333256, 'p': 67}
-
id: 1548169
{'charpoly_factorization': [[[81, 27, 9, 3, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 71}
-
id: 1548170
{'charpoly_factorization': [[[65536, -4096, 256, -16, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 73}
-
id: 1548171
{'charpoly_factorization': [[[16, -8, 4, -2, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 79}
-
id: 1548172
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 83}
-
id: 1548173
{'charpoly_factorization': [[[-15, 1], 4]], 'hecke_orbit_code': 36029346808333256, 'p': 89}
-
id: 1548174
{'charpoly_factorization': [[[2401, -343, 49, -7, 1], 1]], 'hecke_orbit_code': 36029346808333256, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 9, 'label': '968.2.i.i', 'level': 968, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 202133000
{'hecke_orbit_code': 36029346808333256, 'n': 1, 'trace_an': 4}
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id: 202133001
{'hecke_orbit_code': 36029346808333256, 'n': 2, 'trace_an': 0}
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id: 202133002
{'hecke_orbit_code': 36029346808333256, 'n': 3, 'trace_an': 3}
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id: 202133003
{'hecke_orbit_code': 36029346808333256, 'n': 4, 'trace_an': 0}
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id: 202133004
{'hecke_orbit_code': 36029346808333256, 'n': 5, 'trace_an': 3}
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id: 202133005
{'hecke_orbit_code': 36029346808333256, 'n': 6, 'trace_an': 0}
-
id: 202133006
{'hecke_orbit_code': 36029346808333256, 'n': 7, 'trace_an': -2}
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id: 202133007
{'hecke_orbit_code': 36029346808333256, 'n': 8, 'trace_an': 0}
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id: 202133008
{'hecke_orbit_code': 36029346808333256, 'n': 9, 'trace_an': -6}
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id: 202133009
{'hecke_orbit_code': 36029346808333256, 'n': 10, 'trace_an': 0}
-
id: 202133010
{'hecke_orbit_code': 36029346808333256, 'n': 11, 'trace_an': 0}
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id: 202133011
{'hecke_orbit_code': 36029346808333256, 'n': 12, 'trace_an': 0}
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id: 202133012
{'hecke_orbit_code': 36029346808333256, 'n': 13, 'trace_an': 0}
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id: 202133013
{'hecke_orbit_code': 36029346808333256, 'n': 14, 'trace_an': 0}
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id: 202133014
{'hecke_orbit_code': 36029346808333256, 'n': 15, 'trace_an': -9}
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id: 202133015
{'hecke_orbit_code': 36029346808333256, 'n': 16, 'trace_an': 0}
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id: 202133016
{'hecke_orbit_code': 36029346808333256, 'n': 17, 'trace_an': -6}
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id: 202133017
{'hecke_orbit_code': 36029346808333256, 'n': 18, 'trace_an': 0}
-
id: 202133018
{'hecke_orbit_code': 36029346808333256, 'n': 19, 'trace_an': 4}
-
id: 202133019
{'hecke_orbit_code': 36029346808333256, 'n': 20, 'trace_an': 0}
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id: 202133020
{'hecke_orbit_code': 36029346808333256, 'n': 21, 'trace_an': -24}
-
id: 202133021
{'hecke_orbit_code': 36029346808333256, 'n': 22, 'trace_an': 0}
-
id: 202133022
{'hecke_orbit_code': 36029346808333256, 'n': 23, 'trace_an': 4}
-
id: 202133023
{'hecke_orbit_code': 36029346808333256, 'n': 24, 'trace_an': 0}
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id: 202133024
{'hecke_orbit_code': 36029346808333256, 'n': 25, 'trace_an': -4}
-
id: 202133025
{'hecke_orbit_code': 36029346808333256, 'n': 26, 'trace_an': 0}
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