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{'Nk2': 8128, 'analytic_conductor': 16.225601690724176, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [127, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2032, 1, [255, 1525, 257], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [2, 1]], [5, [-4, 1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170408944, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2032.2.a.f', 'level': 2032, '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, 127], 'level_radical': 254, 'minimal_twist': '254.2.a.e', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{3}+(-1+\\beta )q^{5}+(-1+\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2032.2.a', 'trace_display': [0, -4, -1, -1], 'trace_hash': 302821749820756924, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.955', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.566', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.390', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [2, 0, -4, 0, -1, 0, -1, 0, 2, 0, 7, 0, -2, 0, 2, 0, -3, 0, -5, 0, 2, 0, 3, 0, -1, 0, 8, 0, 6, 0, 0, 0, -14, 0, 9, 0, 4, 0, 4, 0, -1, 0, -12, 0, -1, 0, -18, 0, -5, 0, 6, 0, -3, 0, 5, 0, 10, 0, 10, 0, 12, 0, -1, 0, -16, 0, -12, 0, -6, 0, 0, 0, -12, 0, 2, 0, 5, 0, 6, 0, -22, 0, 10, 0, -7, 0, -12, 0, -6, 0, -16, 0, 0, 0, -23, 0, -2, 0, 7, 0, -7, 0, -32, 0, -18, 0, -12, 0, 10, 0, -8, 0, -15, 0, -27, 0, -2, 0, -7, 0, 11, 0, 2, 0, -3, 0, 2, 0, 24, 0, -21, 0, -23, 0, -4, 0, 12, 0, -4, 0, 36, 0, -24, 0, 14, 0, 10, 0, -12, 0, -23, 0, -3, 0, 0, 0, 32, 0, 6, 0, -27, 0, 29, 0, -10, 0, -9, 0, 10, 0, -5, 0, -18, 0, -8, 0, -20, 0, 21, 0, -7, 0, -24, 0, -2, 0, -19, 0, -4, 0, 20, 0, -4, 0, 32, 0, 6, 0, -8, 0, 24, 0, 14, 0, 43, 0, 3, 0, -43, 0, 24, 0, 0, 0, 6, 0, 0, 0, 24, 0, 20, 0, -11, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-2, 0], [0, 0], [-1, 1], [0, 0], [-1, 1], [0, 0], [1, 0], [0, 0], [3, 1], [0, 0], [0, -2], [0, 0], [2, -2], [0, 0], [-1, -1], [0, 0], [-1, -3], [0, 0], [2, -2], [0, 0], [3, -3], [0, 0], [0, -1], [0, 0], [4, 0], [0, 0], [2, 2], [0, 0], [0, 0], [0, 0], [-6, -2], [0, 0], [5, -1], [0, 0], [2, 0], [0, 0], [0, 4], [0, 0], [-3, 5], [0, 0], [-6, 0], [0, 0], [-1, 1], [0, 0], [-10, 2], [0, 0], [-2, -1], [0, 0], [2, 2], [0, 0], [1, -5], [0, 0], [1, 3], [0, 0], [2, 6], [0, 0], [4, 2], [0, 0], [6, 0], [0, 0], [-1, 1], [0, 0], [-8, 0], [0, 0], [-6, 0], [0, 0], [-6, 6], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [0, 2], [0, 0], [1, 3], [0, 0], [6, -6], [0, 0], [-11, 0], [0, 0], [4, 2], [0, 0], [-3, -1], [0, 0], [-4, -4], [0, 0], [0, -6], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [-11, -1], [0, 0], [0, -2], [0, 0], [3, 1], [0, 0]], 'ap': [[0, 0], [-2, 0], [-1, 1], [-1, 1], [3, 1], [0, -2], [-1, -1], [-1, -3], [3, -3], [2, 2], [0, 0], [2, 0], [-3, 5], [-6, 0], [-10, 2], [1, -5], 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[-30, -4], [-26, 4], [4, 10], [-12, 2], [3, -3], [-14, 0], [-12, 12], [0, -16], [-6, 12], [4, 12], [5, 19], [8, 12], [-30, 4], [4, 10], [-24, -2], [-16, -2], [7, -19], [20, -10], [-9, 19], [-15, 3], [5, -1], [-16, -8], [-6, 0], [-9, -15], [-39, 11], [-7, 19], [6, 0], [-6, 12], [0, -12], [18, 0], [-4, -10], [1, 11], [21, -1], [23, -15], [20, 4], [-8, -16], [-30, -4], [12, -10], [-8, -14], [16, -22], [-15, 1], [-12, 4], [4, -16], [6, 8], [20, 4], [-4, 16], [-30, 10], [38, -12], [22, 4], [-18, 20], [-6, 22], [-12, -12], [9, -23], [0, 8], [-4, -10], [37, 3], [-34, -2], [12, 12], [25, 3], [20, 4], [2, -4], [30, -6], [3, 11], [-40, 8], [43, 5], [39, 1], [-44, 0], [41, -3], [20, -4], [-18, 4], [34, -8], [12, -14], [6, -12], [-5, 1], [-26, 4], [38, -12], [6, -12], [5, -11], [-16, 16], [-11, 7], [-22, 6], [-48, -6], [-20, 30], [-50, -8], [15, -31], [26, -18], [-31, 7], [27, 3], [29, -9], [18, 12], [-48, 6], [-3, 3], [-28, -8], [16, -8], [-8, -10], [-21, -7], [-26, 16], [31, 5], [26, 8], [-39, 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-21], [24, -6], [-17, 5], [-78, -4], [9, 27], [17, -9], [-21, 27], [1, -19], [0, -2], [16, -16], [16, -28], [51, -19], [-76, 6], [18, -30], [3, 21], [5, 11], [-18, 0], [-40, -14], [7, -15], [-78, 0], [-39, -7], [24, -24], [34, 14], [9, 9], [-53, -11], [-36, 36], [-76, 2], [-6, 0], [-1, -23], [-24, -16], [-4, 4], [-8, 26], [-70, 4], [-22, 4], [-2, -14], [0, -8], [-46, -12], [-19, 25], [36, -12], [-22, -16], [-21, -9], [-19, 19], [29, -33], [-10, 20], [-70, 14], [12, 14], [-24, 6], [-57, -9], [24, -14], [-55, 3], [-16, 6], [-6, -24], [18, 0], [-48, -8], [56, -2], [18, -34], [-54, 20], [38, -28], [-5, -7], [-50, 20], [-1, -13], [-46, 36], [-82, 4], [-14, 4], [-40, 40], [-42, 0], [10, -28], [24, 20], [38, -6], [15, 33], [40, 8], [-31, -13], [1, -7], [32, -22], [39, 9], [-74, 12], [-24, 0], [68, -6], [-70, -2], [-30, -8], [-35, 23], [52, -2], [-30, 0], [24, -26], [-50, 2], [-40, -10], [42, 8], [-76, 12], [-21, -3], [0, -26], [-25, 9], [51, -3], [52, -18], [-10, 2], [31, 25], [26, 4], [-78, 16], [10, -26], [-35, 23], [-36, 24], [3, -33], [32, 16], [-42, 36], [9, 27], [7, -35], [67, -7], [2, -12], [-24, 18], [-11, 31], [-30, -24], [-9, 33], [-33, 9]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 22517998170408944, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2032.2.a.f', 'level': 2032, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [16, 16, 18, 13], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3], 'ALdims_old': [40, 54, 42, 52], 'Nk2': 8128, 'analytic_conductor': 16.225601690724176, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2032, 1, [255, 1525, 257], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 251, 'dim': 63, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33556464, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 6, 7, 9, 10], 'label': '2032.2.a', 'level': 2032, '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, 127], 'level_radical': 254, 'mf_dim': 262, 'mf_new_dim': 63, 'num_forms': 18, 'plus_dim': 29, 'prim_orbit_index': 1, 'relative_dim': 63, 'sturm_bound': 512, 'trace_bound': 5, 'trace_display': [0, 0, -2, 0], 'traces': [63, 0, 0, 0, -2, 0, 0, 0, 59, 0, 6, 0, -2, 0, 8, 0, -2, 0, -2, 0, 0, 0, 12, 0, 65, 0, 12, 0, -2, 0, -14, 0, 0, 0, 12, 0, -10, 0, 24, 0, 6, 0, 0, 0, -10, 0, -10, 0, 63, 0, -4, 0, -10, 0, 12, 0, 0, 0, 0, 0, -2, 0, -20, 0, 12, 0, -12, 0, 0, 0, 10, 0, -2, 0, -16, 0, -24, 0, -18, 0, 55, 0, -28, 0, -12, 0, -40, 0, -2, 0, -24, 0, -32, 0, -32, 0, -18, 0, 42, 0, -18, 0, 2, 0, -24, 0, -30, 0, -10, 0, 28, 0, -18, 0, 20, 0, -26, 0, 16, 0, 35, 0, 12, 0, 12, 0, -5, 0, -24, 0, 32, 0, 0, 0, 76, 0, -2, 0, -52, 0, 16, 0, -14, 0, -12, 0, 0, 0, -10, 0, -32, 0, -26, 0, 12, 0, -18, 0, -68, 0, -40, 0, 4, 0, -48, 0, 52, 0, 33, 0, 6, 0, -26, 0, 8, 0, 0, 0, 30, 0, 6, 0, 60, 0, -4, 0, 48, 0, -8, 0, -32, 0, -18, 0, 52, 0, 14, 0, 46, 0, -40, 0, -8, 0, -20, 0, 64, 0, -8, 0, 58, 0, 8, 0, 40, 0, -24, 0, -8, 0, -36, 0, -36, 0, 45, 0, 4, 0, 6, 0, 88, 0, -10, 0, -56, 0, 24, 0, 48, 0, 6, 0, 96, 0, -50, 0, -44, 0, -24, 0, 22, 0, -40, 0, 8, 0, 6, 0, -16, 0, -10, 0, -14, 0, 68, 0, 28, 0, -2, 0, -4, 0, -64, 0, 74, 0, -58, 0, -50, 0, -2, 0, -84, 0, 8, 0, 12, 0, 77, 0, 68, 0, 22, 0, 8, 0, -16, 0, -140, 0, -48, 0, 28, 0, -20, 0, -24, 0, 80, 0, 64, 0, 38, 0, 64, 0, -2, 0, -16, 0, -40, 0, 74, 0, -70, 0, 112, 0, -56, 0, -40, 0, -10, 0, -140, 0, 22, 0, -4, 0, 16, 0, -156, 0, -16, 0, 24, 0, 54, 0, 84, 0, 62, 0, 20, 0, 40, 0, -24, 0, 75, 0, -64, 0, 52, 0, 26, 0, -42, 0, -40, 0, -26, 0, 144, 0, -76, 0, -36, 0, 0, 0, -56, 0, 8, 0, 84, 0, -42, 0, -56, 0, -56, 0, -12, 0, 46, 0, -212, 0, -42, 0, -148, 0, 22, 0, 72, 0, 22, 0, -120, 0, 56, 0, -32, 0, -48, 0, 54, 0, 38, 0, 98, 0, 18, 0, -44, 0, 32, 0, -94, 0, 14, 0, 116, 0, 72, 0, -92, 0, 43, 0, -34, 0, -84, 0, -48, 0, -34, 0, -14, 0, -8, 0, 164, 0, -18, 0, -44, 0, -18, 0, -54, 0, 16, 0, -52, 0, -16, 0, -120, 0, -32, 0, -6, 0, -42, 0, -90, 0, 36, 0, -40, 0, 20, 0, 0, 0, -32, 0, -52, 0, -68, 0, -112, 0, -8, 0, -104, 0, -48, 0, 10, 0, 84, 0, 32, 0, 26, 0, 144, 0, -48, 0, -12, 0, -36, 0, -72, 0, 78, 0, -162, 0, -96, 0, -78, 0, 111, 0, -128, 0, -24, 0, -128, 0, 24, 0, 34, 0, 46, 0, -132, 0, 36, 0, 24, 0, 30, 0, 36, 0, -32, 0, -24, 0, 2, 0, -60, 0, 40, 0, -36, 0, -28, 0, -48, 0, 30, 0, 84, 0, 152, 0, 168, 0, 54, 0, -108, 0, 64, 0, 12, 0, 28, 0, 126, 0, 20, 0, -12, 0, 6, 0, 144, 0, -40, 0, 40, 0, 30, 0, 32, 0, -130, 0, -42, 0, -80, 0, 66, 0, -98, 0, 336, 0, 54, 0, -168, 0, 8, 0, -108, 0, 155, 0, -48, 0, -8, 0, -128, 0, -64, 0, 30, 0, -42, 0, 102, 0, 14, 0, -110, 0, 16, 0, 152, 0, -32, 0, 68, 0, -26, 0, -12, 0, -18, 0, -80, 0, 22, 0, -152, 0, 8, 0, 276, 0, -96, 0, -76, 0, -34, 0, -32, 0, -94, 0, -76, 0, 88, 0, 84, 0, -68, 0, -124, 0, -20, 0, -20, 0, -120, 0, 40, 0, -4, 0, -56, 0, -18, 0, -42, 0, 56, 0, -104, 0, -2, 0, 18, 0, 40, 0, -84, 0, 16, 0, -126, 0, -32, 0, -176, 0, -62, 0, -76, 0, 131, 0, 8, 0, -62, 0, -48, 0, 0, 0, -210, 0, -32, 0, 204, 0, 12, 0, -180, 0, -32, 0, -4, 0, 56, 0, 40, 0, -26, 0, -56, 0, 86, 0, -12, 0, -60, 0, -76, 0, 22, 0, 204, 0, 86, 0, 2, 0, 0, 0, 12, 0, -152, 0, -156, 0, 212, 0, 10, 0, 80, 0, 160, 0, -20, 0, 144, 0, 66, 0, -20, 0, 166, 0, -6, 0, -72, 0, 380, 0, -34, 0, -110, 0, 0, 0, -32, 0, -144, 0, -24, 0, -18, 0, -162, 0, -16, 0, 96, 0, -82, 0, -196, 0, 70, 0, -168, 0, -232, 0, 56, 0, 73, 0, 372, 0, 82, 0, 64, 0, -64, 0, 276, 0, -42, 0, 32, 0, 46, 0, -108, 0, 192, 0, -60, 0, 28, 0, -64, 0, -28, 0, 56, 0, -34, 0, 48, 0, -26, 0, 88, 0, 94, 0, -182, 0, -64, 0, 100, 0, 0, 0, 150, 0, -136, 0, 16, 0, 40, 0, 200, 0, -76, 0, 228, 0, -116, 0, 134, 0, -42, 0, 216, 0, -64, 0, -248, 0, -8, 0, 38, 0, -64, 0, 188, 0, -46, 0, -130, 0, -98, 0, -198, 0, 136, 0, 284, 0, -26, 0, 208, 0, 150, 0, -196, 0, -264, 0, 44, 0, 0, 0, 104, 0, 70, 0, 180, 0, -224, 0, 92, 0, 31, 0, -242, 0, 4, 0, 108, 0, 40, 0, 30, 0, 24, 0, 16, 0, -2, 0, 248, 0, 30, 0, -134, 0, -12, 0, 304, 0, 120, 0, 112, 0, -104, 0, 8, 0, 14, 0, 88, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 863994
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2032.2.a.f', 'source_level': 2032, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '254.2.a.e', 'target_level': 254, 'twist_class_label': '254.2.a.e', 'twist_class_level': 254, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 863995
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2032.2.a.f', 'source_level': 2032, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2032.2.a.f', 'target_level': 2032, 'twist_class_label': '254.2.a.e', 'twist_class_level': 254, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 863996
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2032.2.a.f', 'source_level': 2032, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2286.2.a.q', 'target_level': 2286, 'twist_class_label': '254.2.a.e', 'twist_class_level': 254, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 863997
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2032.2.a.f', 'source_level': 2032, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6350.2.a.g', 'target_level': 6350, 'twist_class_label': '254.2.a.e', 'twist_class_level': 254, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 863998
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2032.2.a.f', 'source_level': 2032, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '8128.2.a.p', 'target_level': 8128, 'twist_class_label': '254.2.a.e', 'twist_class_level': 254, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 863999
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2032.2.a.f', 'source_level': 2032, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '8128.2.a.t', 'target_level': 8128, 'twist_class_label': '254.2.a.e', 'twist_class_level': 254, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2379650
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22517998170408944, 'p': 2}
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id: 2379651
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 22517998170408944, 'p': 3}
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id: 2379652
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 5}
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id: 2379653
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 7}
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id: 2379654
{'charpoly_factorization': [[[8, -7, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 11}
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id: 2379655
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 13}
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id: 2379656
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 17}
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id: 2379657
{'charpoly_factorization': [[[-32, 5, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 19}
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id: 2379658
{'charpoly_factorization': [[[-36, -3, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 23}
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id: 2379659
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 29}
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id: 2379660
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22517998170408944, 'p': 31}
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id: 2379661
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 22517998170408944, 'p': 37}
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id: 2379662
{'charpoly_factorization': [[[-106, 1, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 41}
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id: 2379663
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 22517998170408944, 'p': 43}
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id: 2379664
{'charpoly_factorization': [[[64, 18, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 47}
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id: 2379665
{'charpoly_factorization': [[[-104, 3, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 53}
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id: 2379666
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 59}
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id: 2379667
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 22517998170408944, 'p': 61}
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id: 2379668
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 22517998170408944, 'p': 67}
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id: 2379669
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22517998170408944, 'p': 71}
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id: 2379670
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 22517998170408944, 'p': 73}
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id: 2379671
{'charpoly_factorization': [[[-144, -6, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 79}
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id: 2379672
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 83}
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id: 2379673
{'charpoly_factorization': [[[-144, 6, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 89}
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id: 2379674
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 22517998170408944, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '2032.2.a.f', 'level': 2032, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 42064813
{'hecke_orbit_code': 22517998170408944, 'n': 1, 'trace_an': 2}
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id: 42064814
{'hecke_orbit_code': 22517998170408944, 'n': 2, 'trace_an': 0}
-
id: 42064815
{'hecke_orbit_code': 22517998170408944, 'n': 3, 'trace_an': -4}
-
id: 42064816
{'hecke_orbit_code': 22517998170408944, 'n': 4, 'trace_an': 0}
-
id: 42064817
{'hecke_orbit_code': 22517998170408944, 'n': 5, 'trace_an': -1}
-
id: 42064818
{'hecke_orbit_code': 22517998170408944, 'n': 6, 'trace_an': 0}
-
id: 42064819
{'hecke_orbit_code': 22517998170408944, 'n': 7, 'trace_an': -1}
-
id: 42064820
{'hecke_orbit_code': 22517998170408944, 'n': 8, 'trace_an': 0}
-
id: 42064821
{'hecke_orbit_code': 22517998170408944, 'n': 9, 'trace_an': 2}
-
id: 42064822
{'hecke_orbit_code': 22517998170408944, 'n': 10, 'trace_an': 0}
-
id: 42064823
{'hecke_orbit_code': 22517998170408944, 'n': 11, 'trace_an': 7}
-
id: 42064824
{'hecke_orbit_code': 22517998170408944, 'n': 12, 'trace_an': 0}
-
id: 42064825
{'hecke_orbit_code': 22517998170408944, 'n': 13, 'trace_an': -2}
-
id: 42064826
{'hecke_orbit_code': 22517998170408944, 'n': 14, 'trace_an': 0}
-
id: 42064827
{'hecke_orbit_code': 22517998170408944, 'n': 15, 'trace_an': 2}
-
id: 42064828
{'hecke_orbit_code': 22517998170408944, 'n': 16, 'trace_an': 0}
-
id: 42064829
{'hecke_orbit_code': 22517998170408944, 'n': 17, 'trace_an': -3}
-
id: 42064830
{'hecke_orbit_code': 22517998170408944, 'n': 18, 'trace_an': 0}
-
id: 42064831
{'hecke_orbit_code': 22517998170408944, 'n': 19, 'trace_an': -5}
-
id: 42064832
{'hecke_orbit_code': 22517998170408944, 'n': 20, 'trace_an': 0}
-
id: 42064833
{'hecke_orbit_code': 22517998170408944, 'n': 21, 'trace_an': 2}
-
id: 42064834
{'hecke_orbit_code': 22517998170408944, 'n': 22, 'trace_an': 0}
-
id: 42064835
{'hecke_orbit_code': 22517998170408944, 'n': 23, 'trace_an': 3}
-
id: 42064836
{'hecke_orbit_code': 22517998170408944, 'n': 24, 'trace_an': 0}
-
id: 42064837
{'hecke_orbit_code': 22517998170408944, 'n': 25, 'trace_an': -1}
-
id: 42064838
{'hecke_orbit_code': 22517998170408944, 'n': 26, 'trace_an': 0}
-
id: 42064839
{'hecke_orbit_code': 22517998170408944, 'n': 27, 'trace_an': 8}
-
id: 42064840
{'hecke_orbit_code': 22517998170408944, 'n': 28, 'trace_an': 0}
-
id: 42064841
{'hecke_orbit_code': 22517998170408944, 'n': 29, 'trace_an': 6}
-
id: 42064842
{'hecke_orbit_code': 22517998170408944, 'n': 30, 'trace_an': 0}
-
id: 42064843
{'hecke_orbit_code': 22517998170408944, 'n': 31, 'trace_an': 0}
-
id: 42064844
{'hecke_orbit_code': 22517998170408944, 'n': 32, 'trace_an': 0}
-
id: 42064845
{'hecke_orbit_code': 22517998170408944, 'n': 33, 'trace_an': -14}
-
id: 42064846
{'hecke_orbit_code': 22517998170408944, 'n': 34, 'trace_an': 0}
-
id: 42064847
{'hecke_orbit_code': 22517998170408944, 'n': 35, 'trace_an': 9}
-
id: 42064848
{'hecke_orbit_code': 22517998170408944, 'n': 36, 'trace_an': 0}
-
id: 42064849
{'hecke_orbit_code': 22517998170408944, 'n': 37, 'trace_an': 4}
-
id: 42064850
{'hecke_orbit_code': 22517998170408944, 'n': 38, 'trace_an': 0}
-
id: 42064851
{'hecke_orbit_code': 22517998170408944, 'n': 39, 'trace_an': 4}
-
id: 42064852
{'hecke_orbit_code': 22517998170408944, 'n': 40, 'trace_an': 0}
-
id: 42064853
{'hecke_orbit_code': 22517998170408944, 'n': 41, 'trace_an': -1}
-
id: 42064854
{'hecke_orbit_code': 22517998170408944, 'n': 42, 'trace_an': 0}
-
id: 42064855
{'hecke_orbit_code': 22517998170408944, 'n': 43, 'trace_an': -12}
-
id: 42064856
{'hecke_orbit_code': 22517998170408944, 'n': 44, 'trace_an': 0}
-
id: 42064857
{'hecke_orbit_code': 22517998170408944, 'n': 45, 'trace_an': -1}
-
id: 42064858
{'hecke_orbit_code': 22517998170408944, 'n': 46, 'trace_an': 0}
-
id: 42064859
{'hecke_orbit_code': 22517998170408944, 'n': 47, 'trace_an': -18}
-
id: 42064860
{'hecke_orbit_code': 22517998170408944, 'n': 48, 'trace_an': 0}
-
id: 42064861
{'hecke_orbit_code': 22517998170408944, 'n': 49, 'trace_an': -5}
-
id: 42064862
{'hecke_orbit_code': 22517998170408944, 'n': 50, 'trace_an': 0}
-
id: 42064863
{'hecke_orbit_code': 22517998170408944, 'n': 51, 'trace_an': 6}
-
id: 42064864
{'hecke_orbit_code': 22517998170408944, 'n': 52, 'trace_an': 0}
-
id: 42064865
{'hecke_orbit_code': 22517998170408944, 'n': 53, 'trace_an': -3}
-
id: 42064866
{'hecke_orbit_code': 22517998170408944, 'n': 54, 'trace_an': 0}
-
id: 42064867
{'hecke_orbit_code': 22517998170408944, 'n': 55, 'trace_an': 5}
-
id: 42064868
{'hecke_orbit_code': 22517998170408944, 'n': 56, 'trace_an': 0}
-
id: 42064869
{'hecke_orbit_code': 22517998170408944, 'n': 57, 'trace_an': 10}
-
id: 42064870
{'hecke_orbit_code': 22517998170408944, 'n': 58, 'trace_an': 0}
-
id: 42064871
{'hecke_orbit_code': 22517998170408944, 'n': 59, 'trace_an': 10}
-
id: 42064872
{'hecke_orbit_code': 22517998170408944, 'n': 60, 'trace_an': 0}
-
id: 42064873
{'hecke_orbit_code': 22517998170408944, 'n': 61, 'trace_an': 12}
-
id: 42064874
{'hecke_orbit_code': 22517998170408944, 'n': 62, 'trace_an': 0}
-
id: 42064875
{'hecke_orbit_code': 22517998170408944, 'n': 63, 'trace_an': -1}
-
id: 42064876
{'hecke_orbit_code': 22517998170408944, 'n': 64, 'trace_an': 0}
-
id: 42064877
{'hecke_orbit_code': 22517998170408944, 'n': 65, 'trace_an': -16}
-
id: 42064878
{'hecke_orbit_code': 22517998170408944, 'n': 66, 'trace_an': 0}
-
id: 42064879
{'hecke_orbit_code': 22517998170408944, 'n': 67, 'trace_an': -12}
-
id: 42064880
{'hecke_orbit_code': 22517998170408944, 'n': 68, 'trace_an': 0}
-
id: 42064881
{'hecke_orbit_code': 22517998170408944, 'n': 69, 'trace_an': -6}
-
id: 42064882
{'hecke_orbit_code': 22517998170408944, 'n': 70, 'trace_an': 0}
-
id: 42064883
{'hecke_orbit_code': 22517998170408944, 'n': 71, 'trace_an': 0}
-
id: 42064884
{'hecke_orbit_code': 22517998170408944, 'n': 72, 'trace_an': 0}
-
id: 42064885
{'hecke_orbit_code': 22517998170408944, 'n': 73, 'trace_an': -12}
-
id: 42064886
{'hecke_orbit_code': 22517998170408944, 'n': 74, 'trace_an': 0}
-
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