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- 2025-07-18T01:46:46.061463+00:00
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mf_newforms • Show schema
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{'Nk2': 828, 'analytic_conductor': 1.652903321840504, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [23, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [207, 1, [47, 28], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-5, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288295631, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '207.2.a.c', 'level': 207, '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': [3, 23], 'level_radical': 69, 'minimal_twist': '69.2.a.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+3q^{4}+(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': '207.2.a', 'trace_display': [0, 0, 2, 2], 'trace_hash': 82933920908733568, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.895', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.213', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.155', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, 'traces': [2, 0, 0, 6, 2, 0, 2, 0, 0, -10, -8, 0, 0, 10, 0, -2, 10, 0, 10, 6, 0, 0, -2, 0, 2, -20, 0, 6, 0, 0, -4, 0, 0, -10, -8, 0, 0, 10, 0, -10, 4, 0, 2, -24, 0, 0, 8, 0, -2, -20, 0, 0, 6, 0, -8, 10, 0, -20, -8, 0, 0, -20, 0, -26, 20, 0, 6, 30, 0, 0, 16, 0, -4, 20, 0, 30, -8, 0, 6, -2, 0, 40, -8, 0, 20, -30, 0, 0, -2, 0, -20, -6, 0, 0, 0, 0, 8, 20, 0, 6, -4, 0, -18, -20, 0, 10, -16, 0, -12, 40, 0, -2, -10, 0, -2, 0, 0, 40, 0, 0, 10, 20, 0, -12, 12, 0, 12, 0, 0, -20, -16, 0, 20, -10, 0, -10, -2, 0, 0, -24, 0, 0, 0, 0, 20, 40, 0, 0, 10, 0, -32, 10, 0, -40, 16, 0, -16, 30, 0, 30, -2, 0, -12, 12, 0, 0, -8, 0, 14, -60, 0, 6, 0, 0, -18, 8, 0, 10, -24, 0, 12, -20, 0, 0, -20, 0, -40, 24, 0, -40, -12, 0, 8, 20, 0, -6, -8, 0, 6, -20, 0, 40, -20, 0, -36, -10, 0, 0, -40, 0, 36, 18, 0, -40, 32, 0, -24, -40, 0, -24, 20, 0, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 0], [3, 0], [1, 1], [0, 0], [1, -1], [0, -1], [0, 0], [-5, -1], [-4, 0], [0, 0], [0, 2], [5, -1], [0, 0], [-1, 0], [5, 1], [0, 0], [5, -1], [3, 3], [0, 0], [0, 4], [-1, 0], [0, 0], [1, 2], [-10, 0], [0, 0], [3, -3], [0, 2], [0, 0], [-2, 2], [0, 3], [0, 0], [-5, -5], [-4, 0], [0, 0], [0, -2], [5, -5], [0, 0], [-5, -1], [2, -4], [0, 0], [1, 3], [-12, 0], [0, 0], [0, 1], [4, 0], [0, 0], [-1, -2], [-10, -1], [0, 0], [0, 6], [3, -1], [0, 0], [-4, -4], [5, -1], [0, 0], [-10, 0], [-4, -4], [0, 0], [0, -2], [-10, 2], [0, 0], [-13, 0], [10, 2], [0, 0], [3, 1], [15, 3], [0, 0], [0, 4], [8, 0], [0, 0], [-2, -4], [10, 0], [0, 0], [15, -3], [-4, 4], [0, 0], [3, -3], [-1, -1], [0, 0], [20, -2], [-4, 0], [0, 0], [10, 6], [-15, -1], [0, 0], [0, 4], [-1, -1], [0, 0], [-10, 2], [-3, 0], [0, 0], [0, -4], [0, 4], [0, 0], [4, -2], [10, 1], [0, 0], [3, 6]], 'ap': [[0, -1], [0, 0], [1, 1], [1, -1], [-4, 0], [0, 2], [5, 1], [5, -1], [-1, 0], [0, 2], [-2, 2], [0, -2], [2, -4], [1, 3], [4, 0], [3, -1], [-4, -4], [0, -2], [3, 1], [8, 0], [-2, -4], [3, -3], [-4, 0], [-1, -1], [4, -2], [-2, -4], [-9, 1], [-8, 4], [-6, 4], [-5, -5], [6, 2], [-8, 4], [-1, -1], [0, 4], [5, -3], [-16, 0], [-8, -2], [-6, -6], [-4, 4], [0, 2], [-12, 4], [6, 8], [-6, -2], [4, -6], [-4, 6], [3, -3], [18, 2], [-8, 8], [18, 2], [-6, -4], [14, 0], [4, 4], [24, 2], [6, -2], [22, 0], [-2, 2], [-4, -2], [-22, -2], [-2, -8], [-9, 7], [-1, -3], [-1, 3], [-2, -2], [-16, -4], [14, 4], [-16, -6], [10, -6], [8, 10], [-8, -8], [-28, -2], [4, -6], [-2, 2], [19, -3], [16, -2], [1, -13], [-30, -2], [-5, 7], [-2, 0], [9, 13], [4, -6], [4, 8], [-22, 4], [-8, 0], [10, -8], [8, 8], [8, -12], [-6, 4], [4, -2], [-8, -6], [-4, 4], [2, 10], [16, -8], [24, 0], [-40, 0], [10, 10], [28, 4], [12, -2], [31, -1], [-9, -11], [-20, -2], [18, 2], [31, -5], [-6, -6], [13, 1], [23, -3], [12, 2], [-8, -4], [-34, 0], [12, 4], [-20, 10], [12, 12], [-36, 2], [27, 3], [11, 9], [-5, 5], [-11, 17], [9, -13], [-12, 0], [14, -4], [-14, 10], [-16, -2], [16, 6], [5, -19], [20, 0], [-18, -10], [-23, 1], [-6, 12], [-4, 0], [17, 7], [22, 0], [0, 12], [2, -10], [21, -13], [22, -8], [-20, 10], [-10, -12], [-43, -3], [-7, 3], [3, 7], [12, -14], [-10, 6], [-30, -8], [-30, -2], [-22, -6], [-12, -10], [26, 6], [22, 0], [34, -4], [-16, -4], [4, 0], [42, 4], [7, 15], [6, 6], [-40, -4], [19, 9], [-4, -20], [15, 17], [2, -12], [14, 12], [9, -15], [28, 12], [17, 13], [-30, -10], [14, 14], [3, -13], [4, 12], [-6, -2], [20, -10]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 9007199288295631, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '207.2.a.c', 'level': 207, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 2, 4, 1], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2], 'ALdims_old': [1, 6, 1, 4], 'Nk2': 828, 'analytic_conductor': 1.652903321840504, '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': [207, 1, [47, 28], [1, 1]], 'conrey_index': 1, 'cusp_dim': 21, 'dim': 9, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554639, 'hecke_orbit_dims': [1, 2, 2, 2, 2], 'label': '207.2.a', 'level': 207, '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': [3, 23], 'level_radical': 69, 'mf_dim': 28, 'mf_new_dim': 9, 'num_forms': 5, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 9, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, 4, -6], 'traces': [9, 0, 0, 8, 4, 0, -6, 3, 0, -4, -6, 0, 0, 8, 0, 6, 0, 0, 0, 10, 0, -14, -3, 0, 3, -11, 0, -22, 4, 0, 0, -14, 0, 18, -16, 0, -4, 6, 0, -4, 0, 0, -12, -28, 0, 2, 8, 0, -11, -4, 0, 3, 26, 0, 4, 14, 0, 33, 0, 0, 6, -39, 0, -43, 26, 0, 26, 32, 0, -12, -12, 0, 12, 24, 0, -26, 16, 0, 4, -20, 0, 15, 2, 0, 44, -40, 0, -18, 26, 0, -2, -6, 0, 3, -4, 0, -20, 12, 0, -40, -18, 0, -18, -38, 0, -20, -28, 0, 26, 48, 0, -12, -48, 0, 4, -1, 0, 76, 12, 0, 9, 48, 0, 65, 24, 0, -12, 28, 0, -2, -36, 0, 52, -10, 0, 68, -2, 0, -20, -20, 0, -61, 42, 0, -22, 75, 0, -38, -2, 0, -36, 16, 0, -12, -14, 0, -42, 38, 0, -6, -6, 0, 44, 5, 0, 60, -4, 0, -23, -88, 0, 20, -30, 0, -2, 18, 0, 54, -24, 0, -44, -44, 0, 15, -8, 0, -48, 19, 0, -76, 30, 0, 8, 26, 0, 48, -32, 0, -30, -55, 0, 0, -10, 0, 6, 28, 0, -3, -60, 0, 8, 12, 0, -46, 32, 0, -50, -54, 0, -60, 26, 0, 8, -34, 0, 114, 62, 0, -6, 4, 0, 22, 40, 0, -82, -24, 0, -76, -32, 0, 16, -32, 0, 0, -44, 0, -44, 22, 0, -16, -30, 0, -2, -37, 0, -80, 32, 0, 40, 72, 0, 55, 20, 0, 80, 72, 0, 52, -20, 0, -64, 18, 0, -18, -2, 0, 16, -33, 0, -24, 28, 0, 22, 71, 0, 50, 66, 0, 103, -2, 0, 137, -10, 0, -48, 16, 0, 0, -12, 0, -24, -11, 0, -30, 24, 0, 40, -60, 0, 18, -36, 0, -6, 42, 0, 134, -26, 0, -70, -12, 0, -20, 44, 0, 76, 39, 0, 70, 18, 0, -4, -18, 0, -104, -4, 0, 122, -27, 0, 24, 30, 0, 60, 0, 0, 36, -44, 0, -48, -24, 0, -28, 28, 0, -26, -38, 0, -79, -20, 0, -11, -112, 0, -90, -2, 0, 6, 4, 0, 20, -20, 0, 60, 20, 0, -30, 70, 0, 24, -8, 0, 14, -64, 0, 8, 59, 0, -32, -50, 0, 16, 31, 0, -87, 12, 0, -148, 2, 0, -18, 28, 0, 16, 12, 0, -180, -12, 0, 60, -6, 0, -54, -16, 0, 40, 63, 0, 52, 48, 0, -96, -8, 0, 10, 24, 0, -4, -6, 0, -16, 28, 0, 88, -32, 0, -122, -4, 0, 96, 20, 0, -148, -8, 0, -12, -76, 0, 26, -10, 0, 70, -8, 0, -116, -24, 0, 92, 22, 0, -18, -24, 0, -88, -7, 0, 127, 40, 0, -56, -50, 0, 112, -48, 0, 64, 0, 0, -149, 2, 0, -46, 24, 0, -20, -20, 0, 24, -38, 0, 36, -108, 0, 58, -94, 0, 45, 2, 0, 0, 20, 0, -76, 76, 0, 40, 6, 0, -33, 56, 0, -14, -13, 0, 27, 56, 0, -86, 20, 0, -50, 26, 0, 38, -25, 0, 106, 14, 0, 9, 24, 0, 244, -74, 0, 132, -30, 0, 105, 34, 0, -128, 48, 0, 8, 28, 0, 68, -42, 0, 126, -36, 0, -68, 91, 0, -1, 54, 0, 0, 20, 0, -46, 12, 0, 12, 30, 0, -162, 60, 0, -6, -48, 0, 92, -9, 0, 16, -72, 0, 216, 28, 0, 12, -22, 0, 38, 32, 0, -176, 88, 0, -44, -114, 0, -64, 76, 0, 23, -24, 0, -24, 0, 0, -191, -44, 0, -20, -22, 0, 56, 0, 0, -24, 60, 0, 104, 102, 0, -48, 48, 0, 7, 8, 0, 1, -90, 0, 26, -44, 0, 4, 20, 0, -96, -26, 0, -28, 66, 0, 148, -54, 0, 34, 2, 0, -208, -32, 0, -112, -17, 0, 55, 84, 0, -66, 31, 0, 40, -78, 0, -162, 91, 0, 18, -24, 0, -8, -44, 0, -88, -4, 0, -68, -118, 0, -29, -26, 0, 180, -20, 0, -30, 88, 0, -60, -48, 0, -84, -68, 0, -68, 36, 0, 164, 62, 0, 78, -1, 0, 86, -8, 0, 84, 78, 0, 129, 44, 0, -72, -130, 0, 190, 8, 0, -92, -51, 0, 138, -32, 0, -28, 100, 0, -22, 56, 0, 166, 46, 0, 210, 0, 0, 32, 100, 0, -8, -4, 0, 216, -56, 0, 136, -18, 0, -104, -28, 0, -340, -92, 0, 84, 7, 0, -3, -38, 0, 84, 72, 0, -28, -52, 0, -80, -88, 0, 52, -164, 0, -56, 8, 0, -27, -34, 0, -236, 20, 0, -162, 60, 0, -38, 22, 0, 26, 28, 0, 72, -13, 0, 84, 60, 0, 8, 37, 0, -12, -14, 0, -62, 86, 0, 4, 118, 0, 8, 19, 0, -86, -34, 0, -60, -82, 0, 0, -98, 0, -24, 35, 0, -240, 26, 0, 76, -78, 0, -96, -40, 0, 106, 116, 0, -30, 8, 0, 32, -96, 0, 60, 130, 0, 89, -110, 0, 28, 6, 0, 90, -60, 0, -370, 0, 0, 90, 0, 0, -184, 72, 0, 96, 96, 0, 48, 16, 0, 80, 132, 0, -334, -116, 0, 50, 2, 0, -42, 64, 0, -174, -85, 0, 32, -52, 0, -44, 30, 0, 39, -116, 0, 34, 36, 0, -228, 40, 0, -86, -56, 0, 36, 32, 0, -64, -186, 0, 188, 24, 0, -20, 58, 0, 68, -48, 0, 104, 98, 0, 90, -118, 0, 130, 20, 0, 17, -12, 0, 28, -52, 0, 91, 76, 0, -80, 93, 0, -50, -88, 0, 212, 20, 0, 168, -4, 0, 12, -28, 0, 208, 72, 0, 70, -102, 0, -188, -10, 0, -212, 43, 0, 192, 112, 0, 163, 30, 0, -22, -90, 0, -164, 75, 0, 16, -36, 0, -54, -17, 0, -36, 68, 0, -80, -70, 0, -71, 96, 0, -86, -132, 0, -42, 8, 0, 32, 25, 0, 328, -92, 0, 62, -51, 0, 8], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 170276
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '69.2.a.b', 'target_level': 69, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 170277
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '207.2.a.c', 'target_level': 207, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 170278
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1104.2.a.m', 'target_level': 1104, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 170279
{'conductor': 69, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1587.2.a.i', 'target_level': 1587, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '69.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 170280
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1725.2.a.ba', 'target_level': 1725, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 170281
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1725.2.b.o', 'target_level': 1725, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 170282
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '3312.2.a.bb', 'target_level': 3312, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 170283
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3381.2.a.t', 'target_level': 3381, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 170284
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '4416.2.a.bg', 'target_level': 4416, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 170285
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '4416.2.a.bm', 'target_level': 4416, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 170286
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '4761.2.a.v', 'target_level': 4761, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 170287
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '5175.2.a.bk', 'target_level': 5175, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 170288
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '207.2.a.c', 'source_level': 207, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '8349.2.a.i', 'target_level': 8349, 'twist_class_label': '69.2.a.b', 'twist_class_level': 69, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 509825
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 2}
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id: 509826
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199288295631, 'p': 3}
-
id: 509827
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 5}
-
id: 509828
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 7}
-
id: 509829
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007199288295631, 'p': 11}
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id: 509830
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 13}
-
id: 509831
{'charpoly_factorization': [[[20, -10, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 17}
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id: 509832
{'charpoly_factorization': [[[20, -10, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 19}
-
id: 509833
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 9007199288295631, 'p': 23}
-
id: 509834
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 29}
-
id: 509835
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 31}
-
id: 509836
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 37}
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id: 509837
{'charpoly_factorization': [[[-76, -4, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 41}
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id: 509838
{'charpoly_factorization': [[[-44, -2, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 43}
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id: 509839
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 9007199288295631, 'p': 47}
-
id: 509840
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 53}
-
id: 509841
{'charpoly_factorization': [[[-64, 8, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 59}
-
id: 509842
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 61}
-
id: 509843
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 67}
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id: 509844
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 9007199288295631, 'p': 71}
-
id: 509845
{'charpoly_factorization': [[[-76, 4, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 73}
-
id: 509846
{'charpoly_factorization': [[[-36, -6, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 79}
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id: 509847
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007199288295631, 'p': 83}
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id: 509848
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 89}
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id: 509849
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 9007199288295631, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '207.2.a.c', 'level': 207, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 26029855
{'hecke_orbit_code': 9007199288295631, 'n': 1, 'trace_an': 2}
-
id: 26029856
{'hecke_orbit_code': 9007199288295631, 'n': 2, 'trace_an': 0}
-
id: 26029857
{'hecke_orbit_code': 9007199288295631, 'n': 3, 'trace_an': 0}
-
id: 26029858
{'hecke_orbit_code': 9007199288295631, 'n': 4, 'trace_an': 6}
-
id: 26029859
{'hecke_orbit_code': 9007199288295631, 'n': 5, 'trace_an': 2}
-
id: 26029860
{'hecke_orbit_code': 9007199288295631, 'n': 6, 'trace_an': 0}
-
id: 26029861
{'hecke_orbit_code': 9007199288295631, 'n': 7, 'trace_an': 2}
-
id: 26029862
{'hecke_orbit_code': 9007199288295631, 'n': 8, 'trace_an': 0}
-
id: 26029863
{'hecke_orbit_code': 9007199288295631, 'n': 9, 'trace_an': 0}
-
id: 26029864
{'hecke_orbit_code': 9007199288295631, 'n': 10, 'trace_an': -10}
-
id: 26029865
{'hecke_orbit_code': 9007199288295631, 'n': 11, 'trace_an': -8}
-
id: 26029866
{'hecke_orbit_code': 9007199288295631, 'n': 12, 'trace_an': 0}
-
id: 26029867
{'hecke_orbit_code': 9007199288295631, 'n': 13, 'trace_an': 0}
-
id: 26029868
{'hecke_orbit_code': 9007199288295631, 'n': 14, 'trace_an': 10}
-
id: 26029869
{'hecke_orbit_code': 9007199288295631, 'n': 15, 'trace_an': 0}
-
id: 26029870
{'hecke_orbit_code': 9007199288295631, 'n': 16, 'trace_an': -2}
-
id: 26029871
{'hecke_orbit_code': 9007199288295631, 'n': 17, 'trace_an': 10}
-
id: 26029872
{'hecke_orbit_code': 9007199288295631, 'n': 18, 'trace_an': 0}
-
id: 26029873
{'hecke_orbit_code': 9007199288295631, 'n': 19, 'trace_an': 10}
-
id: 26029874
{'hecke_orbit_code': 9007199288295631, 'n': 20, 'trace_an': 6}
-
id: 26029875
{'hecke_orbit_code': 9007199288295631, 'n': 21, 'trace_an': 0}
-
id: 26029876
{'hecke_orbit_code': 9007199288295631, 'n': 22, 'trace_an': 0}
-
id: 26029877
{'hecke_orbit_code': 9007199288295631, 'n': 23, 'trace_an': -2}
-
id: 26029878
{'hecke_orbit_code': 9007199288295631, 'n': 24, 'trace_an': 0}
-
id: 26029879
{'hecke_orbit_code': 9007199288295631, 'n': 25, 'trace_an': 2}
-
id: 26029880
{'hecke_orbit_code': 9007199288295631, 'n': 26, 'trace_an': -20}
-
id: 26029881
{'hecke_orbit_code': 9007199288295631, 'n': 27, 'trace_an': 0}
-
id: 26029882
{'hecke_orbit_code': 9007199288295631, 'n': 28, 'trace_an': 6}
-
id: 26029883
{'hecke_orbit_code': 9007199288295631, 'n': 29, 'trace_an': 0}
-
id: 26029884
{'hecke_orbit_code': 9007199288295631, 'n': 30, 'trace_an': 0}
-
id: 26029885
{'hecke_orbit_code': 9007199288295631, 'n': 31, 'trace_an': -4}
-
id: 26029886
{'hecke_orbit_code': 9007199288295631, 'n': 32, 'trace_an': 0}
-
id: 26029887
{'hecke_orbit_code': 9007199288295631, 'n': 33, 'trace_an': 0}
-
id: 26029888
{'hecke_orbit_code': 9007199288295631, 'n': 34, 'trace_an': -10}
-
id: 26029889
{'hecke_orbit_code': 9007199288295631, 'n': 35, 'trace_an': -8}
-
id: 26029890
{'hecke_orbit_code': 9007199288295631, 'n': 36, 'trace_an': 0}
-
id: 26029891
{'hecke_orbit_code': 9007199288295631, 'n': 37, 'trace_an': 0}
-
id: 26029892
{'hecke_orbit_code': 9007199288295631, 'n': 38, 'trace_an': 10}
-
id: 26029893
{'hecke_orbit_code': 9007199288295631, 'n': 39, 'trace_an': 0}
-
id: 26029894
{'hecke_orbit_code': 9007199288295631, 'n': 40, 'trace_an': -10}
-
id: 26029895
{'hecke_orbit_code': 9007199288295631, 'n': 41, 'trace_an': 4}
-
id: 26029896
{'hecke_orbit_code': 9007199288295631, 'n': 42, 'trace_an': 0}
-
id: 26029897
{'hecke_orbit_code': 9007199288295631, 'n': 43, 'trace_an': 2}
-
id: 26029898
{'hecke_orbit_code': 9007199288295631, 'n': 44, 'trace_an': -24}
-
id: 26029899
{'hecke_orbit_code': 9007199288295631, 'n': 45, 'trace_an': 0}
-
id: 26029900
{'hecke_orbit_code': 9007199288295631, 'n': 46, 'trace_an': 0}
-
id: 26029901
{'hecke_orbit_code': 9007199288295631, 'n': 47, 'trace_an': 8}
-
id: 26029902
{'hecke_orbit_code': 9007199288295631, 'n': 48, 'trace_an': 0}
-
id: 26029903
{'hecke_orbit_code': 9007199288295631, 'n': 49, 'trace_an': -2}
-
id: 26029904
{'hecke_orbit_code': 9007199288295631, 'n': 50, 'trace_an': -20}
-
id: 26029905
{'hecke_orbit_code': 9007199288295631, 'n': 51, 'trace_an': 0}
-
id: 26029906
{'hecke_orbit_code': 9007199288295631, 'n': 52, 'trace_an': 0}
-
id: 26029907
{'hecke_orbit_code': 9007199288295631, 'n': 53, 'trace_an': 6}
-
id: 26029908
{'hecke_orbit_code': 9007199288295631, 'n': 54, 'trace_an': 0}
-
id: 26029909
{'hecke_orbit_code': 9007199288295631, 'n': 55, 'trace_an': -8}
-
id: 26029910
{'hecke_orbit_code': 9007199288295631, 'n': 56, 'trace_an': 10}
-
id: 26029911
{'hecke_orbit_code': 9007199288295631, 'n': 57, 'trace_an': 0}
-
id: 26029912
{'hecke_orbit_code': 9007199288295631, 'n': 58, 'trace_an': -20}
-
id: 26029913
{'hecke_orbit_code': 9007199288295631, 'n': 59, 'trace_an': -8}
-
id: 26029914
{'hecke_orbit_code': 9007199288295631, 'n': 60, 'trace_an': 0}
-
id: 26029915
{'hecke_orbit_code': 9007199288295631, 'n': 61, 'trace_an': 0}
-
id: 26029916
{'hecke_orbit_code': 9007199288295631, 'n': 62, 'trace_an': -20}
-
id: 26029917
{'hecke_orbit_code': 9007199288295631, 'n': 63, 'trace_an': 0}
-
id: 26029918
{'hecke_orbit_code': 9007199288295631, 'n': 64, 'trace_an': -26}
-
id: 26029919
{'hecke_orbit_code': 9007199288295631, 'n': 65, 'trace_an': 20}
-
id: 26029920
{'hecke_orbit_code': 9007199288295631, 'n': 66, 'trace_an': 0}
-
id: 26029921
{'hecke_orbit_code': 9007199288295631, 'n': 67, 'trace_an': 6}
-
id: 26029922
{'hecke_orbit_code': 9007199288295631, 'n': 68, 'trace_an': 30}
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id: 26029923
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