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{'Nk2': 16900, 'analytic_conductor': 33.736794853990965, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [13, 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': [4225, 1, [677, 3551], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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': [[2, [-5, -1, 3, 1]], [3, [2, 2, -4, 1]], [7, [-4, -4, 2, 1]], [11, [2, 8, -6, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345191553, 'hecke_ring_generator_nbound': 2, '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': '4225.2.a.ba', 'level': 4225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'minimal_twist': '65.2.b.a', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{2})q^{2}+(1+\\beta _{1})q^{3}+(2-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4225.2.a', 'trace_display': [-3, 4, 0, -2], 'trace_hash': 1465504725049296575, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.056', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [-1, 0, -1], [1, 1, 0], [2, -1, 1], [0, 0, 0], [0, -2, -1], [-1, 1, 1], [-4, 3, 0], [0, 3, 1], [0, 0, 0], [2, 0, 1], [-1, 1, 0], [0, 0, 0], [-1, -1, 1], [0, 0, 0], [3, -4, 2], [2, 0, -2], [0, -5, 0], [0, 0, 1], [0, 0, 0], [0, 2, 2], [-5, 1, -2], [5, -1, 0], [2, 2, 3], [0, 0, 0], [0, 0, 0], [2, 4, 4], [-1, 1, -1], [3, -3, -3], [0, 0, 0], [4, -2, -1], [-5, 4, -3], [1, 3, 1], [4, -2, -2], [0, 0, 0], [-5, 4, -2], [-1, 3, 1], [-3, 1, 0], [0, 0, 0], [0, 0, 0], [2, -2, 2], [-4, -2, 0], [1, 3, -2], [8, -4, 3], [0, 0, 0], [-6, 2, -5], [-3, -1, -1], [-7, -3, -2], [-3, 0, -2], [0, 0, 0], [4, 0, -2], [0, 0, 0], [2, 2, 4], [-10, -4, -2], [0, 0, 0], [7, -1, -1], [-1, 1, 1], [3, 3, -3], [2, 2, -3], [0, 0, 0], [1, 3, 1], [-3, 3, -4], [5, 3, 1], [12, -3, 1], [0, 0, 0], [-1, -5, -1], [-3, -1, -5], [-4, 2, 0], [3, 3, -1], [0, 0, 0], [2, 6, -1], [15, 0, 5], [9, -3, -1], [1, -5, 1], [0, 0, 0], [4, -2, 1], [0, 2, 0], [0, 0, 0], [-6, 2, 4], [0, 0, 0], [6, 5, 5], [-10, 6, -2], [-7, -1, 1], 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[1, 11, 27], [16, 20, -21], [4, -26, 2], [-6, 24, 3], [24, -18, -34], [-22, 42, 8], [27, 3, -14], [-18, 32, 8], [-60, 38, 16], [-8, 10, 11], [-32, 30, 5], [-74, -2, 10], [17, -41, -33], [37, -35, -5], [5, 23, 3], [13, -31, -32], [-12, -10, -5], [-29, 21, 6], [-50, 40, 14], [20, 22, -12], [-49, 17, 9], [-6, 20, -4], [-24, 0, 2], [8, -28, -4], [17, 7, -1], [11, -3, 27], [-50, 6, -10], [4, 32, -22], [32, 24, 9], [74, -18, -8], [-50, 0, -18], [-19, 15, -31], [-14, 16, -18], [14, -28, -22], [-11, -7, 7], [-5, 25, 11], [49, 5, -1], [-2, 36, 15], [27, 17, 27], [-4, 34, 23], [56, 0, 2], [57, -1, 1], [-7, 47, -4], [-34, -2, 18], [23, -17, -11], [2, 14, -39], [-9, 33, 4], [8, -4, -29], [-12, 4, 4], [30, 20, -1], [-33, 29, 21], [2, -6, 8], [6, -26, -8], [50, -14, 8], [-36, -2, 20], [-51, 15, -5], [-1, 27, 1], [-46, -14, 8], [6, -18, -32], [9, 41, -21], [2, 20, 32], [3, -35, -25], [86, -26, -11], [38, 6, 26], [-12, 16, 14], [-11, 23, 12], [-42, 10, -14], [-56, -4, -16], [18, 16, 44], [-32, 30, 1], [-11, 15, 32], [15, 11, 37], [-25, -25, -26], [-51, 19, 5], [-38, 40, -4], [35, 1, -17], [32, 16, -2], [18, 16, 34], [25, -35, -37], [21, -1, -38], [-4, 20, 20], [-56, 24, 1], [16, -8, 36]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 117093590345191553, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '4225.2.a.ba', 'level': 4225, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [54, 57, 62, 56], 'Nk2': 16900, 'analytic_conductor': 33.736794853990965, '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': [4225, 1, [677, 3551], [1, 1]], 'conrey_index': 1, 'cusp_dim': 413, 'dim': 229, 'eis_dim': 83, 'eis_new_dim': 33, 'hecke_cutter_primes': [2, 3, 7, 11], 'hecke_orbit_code': 33558657, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 9, 9, 10, 10, 12, 12, 12, 12, 18, 18], 'label': '4225.2.a', 'level': 4225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'mf_dim': 496, 'mf_new_dim': 262, 'num_forms': 54, 'plus_dim': 110, 'prim_orbit_index': 1, 'relative_dim': 229, 'sturm_bound': 910, 'trace_bound': 7, 'trace_display': [-3, 0, 0, 4], 'traces': [229, -3, 0, 213, 0, 8, 4, -3, 193, 0, 0, -8, 0, 10, 0, 173, 0, -11, 4, 0, 20, -6, -2, 28, 0, 0, 18, 28, 6, 0, 24, 1, -20, 26, 0, 171, -10, 36, 0, 0, -10, 0, 2, -32, 0, 4, 12, 30, 147, 0, -58, 0, 6, 4, 0, 12, -4, 2, -20, 0, 24, -6, -4, 119, 0, 26, -16, 70, 0, 0, -12, 21, -14, 32, 0, 60, -4, 0, 22, 0, 53, 28, -40, 64, 0, -16, 44, -34, -2, 0, 0, 40, 60, -30, 0, 36, -2, -51, -80, 0, 46, 16, 42, 0, 0, -78, 0, 36, 46, 0, 28, -4, -18, 8, 0, -40, 0, -36, 28, 0, 17, 50, 16, -20, 0, 34, -52, 13, -90, 0, -70, -28, -18, -160, 0, 18, -26, -20, -60, 0, -48, -50, 0, 129, 0, 44, -102, -54, 18, 0, 8, -28, -36, -68, 0, 0, -42, 72, -34, 0, -4, 33, -16, 118, 0, -54, -12, 192, 0, 0, -4, -2, 122, 36, 0, 32, 36, 92, -70, 0, 28, 0, -82, -40, 0, 32, 16, -12, 52, 0, -74, 100, -2, 68, 0, 11, -30, 184, -40, 0, -40, 54, -64, -188, 0, -140, 2, 0, -82, 0, -32, 70, -28, -144, 0, 88, 22, 78, 44, 0, 0, 28, 44, 36, 0, 42, -40, -44, 10, 0, 118, 34, 104, 0, 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mf_twists_nf • Show schema
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id: 1195262
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.b.a', 'target_level': 65, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1195263
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '325.2.a.j', 'target_level': 325, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1195264
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '325.2.a.k', 'target_level': 325, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1195265
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '585.2.c.b', 'target_level': 585, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1195266
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.b.c', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1195267
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.d.a', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1195268
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.d.b', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1195269
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 12, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '845.2.l.d', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1195270
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 12, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '845.2.l.e', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1195271
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 14, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.n.f', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 1195272
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 14, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '845.2.n.g', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1195273
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1040.2.d.c', 'target_level': 1040, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '260.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1195274
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '2925.2.a.bf', 'target_level': 2925, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1195275
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '2925.2.a.bj', 'target_level': 2925, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1195276
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '4225.2.a.ba', 'target_level': 4225, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1195277
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '4225.2.a.bh', 'target_level': 4225, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1195278
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '5200.2.a.cb', 'target_level': 5200, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1195279
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4225.2.a.ba', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 62, 'target_is_minimal': False, 'target_label': '5200.2.a.cj', 'target_level': 5200, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3535925
{'charpoly_factorization': [[[-5, -1, 3, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 2}
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id: 3535926
{'charpoly_factorization': [[[2, 2, -4, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 3}
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id: 3535927
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 117093590345191553, 'p': 5}
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id: 3535928
{'charpoly_factorization': [[[-4, -4, 2, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 7}
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id: 3535929
{'charpoly_factorization': [[[2, 8, -6, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 11}
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id: 3535930
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 117093590345191553, 'p': 13}
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id: 3535931
{'charpoly_factorization': [[[8, -4, -6, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 17}
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id: 3535932
{'charpoly_factorization': [[[2, -4, 0, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 19}
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id: 3535933
{'charpoly_factorization': [[[-86, 62, -14, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 23}
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id: 3535934
{'charpoly_factorization': [[[108, -36, -6, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 29}
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id: 3535935
{'charpoly_factorization': [[[26, 20, -10, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 31}
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id: 3535936
{'charpoly_factorization': [[[-52, -28, 0, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 37}
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id: 3535937
{'charpoly_factorization': [[[-32, -32, -4, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 41}
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id: 3535938
{'charpoly_factorization': [[[278, -46, -6, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 43}
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id: 3535939
{'charpoly_factorization': [[[20, 28, 10, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 47}
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id: 3535940
{'charpoly_factorization': [[[304, -40, -8, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 53}
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id: 3535941
{'charpoly_factorization': [[[262, -40, -8, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 59}
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id: 3535942
{'charpoly_factorization': [[[-4, -16, -6, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 61}
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id: 3535943
{'charpoly_factorization': [[[-604, -60, 10, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 67}
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id: 3535944
{'charpoly_factorization': [[[754, -88, -12, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 71}
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id: 3535945
{'charpoly_factorization': [[[-236, 164, -24, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 73}
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id: 3535946
{'charpoly_factorization': [[[-16, 24, 16, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 79}
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id: 3535947
{'charpoly_factorization': [[[316, 152, 22, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 83}
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id: 3535948
{'charpoly_factorization': [[[-200, -52, 10, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 89}
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id: 3535949
{'charpoly_factorization': [[[200, -84, -14, 1], 1]], 'hecke_orbit_code': 117093590345191553, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '4225.2.a.ba', 'level': 4225, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67187563
{'hecke_orbit_code': 117093590345191553, 'n': 1, 'trace_an': 3}
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id: 67187564
{'hecke_orbit_code': 117093590345191553, 'n': 2, 'trace_an': -3}
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id: 67187565
{'hecke_orbit_code': 117093590345191553, 'n': 3, 'trace_an': 4}
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id: 67187566
{'hecke_orbit_code': 117093590345191553, 'n': 4, 'trace_an': 5}
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id: 67187567
{'hecke_orbit_code': 117093590345191553, 'n': 5, 'trace_an': 0}
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id: 67187568
{'hecke_orbit_code': 117093590345191553, 'n': 6, 'trace_an': -2}
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id: 67187569
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