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{'Nk2': 16900, 'analytic_conductor': 33.736794853990965, 'analytic_rank': 1, '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': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-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, [-3, 1, 1]], [3, [1, 1]], [7, [1, 1]], [11, [-9, -4, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953598081, '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.t', '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.e.b', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}-q^{3}+(1+\\beta )q^{4}+\\beta q^{6}-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': '4225.2.a', 'trace_display': [-1, -2, 0, -2], 'trace_hash': 1906174346800000204, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.954', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.309', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '62.497', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [2, -1, -2, 3, 0, 1, -2, -6, -4, 0, 4, -3, 0, 1, 0, -3, -8, 2, 4, 0, 2, 11, 6, 6, 0, 0, 10, -3, 2, 0, 8, 7, -4, 17, 0, -6, 0, -15, 0, 0, -6, -1, 6, -7, 0, -3, 4, 3, -12, 0, 8, 0, -8, -5, 0, 6, -4, 25, 0, 0, -2, -4, 4, -4, 0, -11, -14, -25, -6, 0, 12, 12, -16, -13, 0, 19, -4, 0, -4, 0, 2, 3, -4, 3, 0, -29, -2, -12, -2, 0, 0, 9, -8, -28, 0, -7, -24, 6, -8, 0, -18, -17, 8, 0, 0, -22, 2, 15, 24, 0, 0, 3, -4, 15, 0, -23, 0, -39, 8, 0, 12, 1, 6, 12, 0, -2, -6, 27, -6, 0, -28, 7, -4, 7, 0, 24, 4, 3, 20, 0, -4, 33, 0, 6, 0, -18, 12, 13, -6, 0, -12, -12, 16, -11, 0, 0, -8, -24, 8, 0, -6, -1, -22, -9, 0, 28, 18, -6, 0, 0, -8, 35, 12, -25, 0, -19, 0, -25, 24, 0, -8, 0, 2, -18, 0, 4, 10, 32, -10, 0, 12, 4, 24, -1, 0, -18, 24, -22, 4, 0, 14, 9, -2, 25, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [-1, 0], [1, 1], [0, 0], [0, 1], [-1, 0], [-3, 0], [-2, 0], [0, 0], [3, -2], [-1, -1], [0, 0], [0, 1], [0, 0], [-2, 1], [-3, -2], [0, 2], [1, 2], [0, 0], [1, 0], [6, -1], [3, 0], [3, 0], [0, 0], [0, 0], [5, 0], [-1, -1], [3, -4], [0, 0], [4, 0], [3, 1], [-3, 2], [6, 5], [0, 0], [-2, -2], [-1, 2], [-6, -3], [0, 0], [0, 0], [-3, 0], [0, -1], [1, 4], [-3, -1], [0, 0], [0, -3], [0, 4], [2, -1], [-6, 0], [0, 0], [3, 2], [0, 0], [-6, 4], [0, -5], [0, 0], [3, 0], [-1, -2], [12, 1], [-3, 6], [0, 0], [-1, 0], [0, -4], [2, 0], [1, -6], [0, 0], [-6, 1], [-7, 0], [-9, -7], [-3, 0], [0, 0], [9, -6], [6, 0], [-10, 4], [-6, -1], [0, 0], [7, 5], [-3, 2], [0, 0], [-4, 4], [0, 0], [1, 0], [0, 3], [0, -4], [1, 1], [0, 0], [-12, -5], [-3, 4], [-9, 6], [-3, 4], [0, 0], [0, 0], [3, 3], [-4, 0], [-12, -4], [0, 0], [-3, -1], [-13, 2], [0, 6], [-6, 4], [0, 0]], 'ap': [[0, -1], [-1, 0], [0, 0], [-1, 0], [3, -2], [0, 0], [-3, -2], [1, 2], [3, 0], [3, -4], [4, 0], [-1, 2], [-3, 0], [1, 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[-39, -12], [57, 12], [-42, 24], [-65, 16], [15, 24], [35, -16], [21, 2], [0, 12], [-13, -14], [39, 0], [32, -40], [-10, 16], [15, -36], [-7, -24], [-30, 8], [-1, -20], [28, -16], [35, -36], [27, 12], [-3, -2], [61, -8], [6, -36], [29, -2], [15, 0], [55, -22], [-36, -24], [1, 4], [39, 10], [25, 4], [4, -8], [-46, -4], [21, 6], [42, 0], [-55, -6], [75, -6], [60, -8], [-10, 40], [-1, -24], [-33, -6], [57, -10], [40, 12], [-25, -18], [-27, -8], [1, 24], [35, -4], [30, -12], [21, 10], [33, -6], [-30, 0], [72, 0], [-13, 22], [39, 24], [-45, 20], [3, -18], [19, 32], [73, 6], [-57, 22], [35, 16], [14, -16], [-9, 2], [35, 14], [-36, 36], [-42, 4], [-43, -22], [1, -10], [12, 24], [-33, 10], [-13, 26], [-33, 36], [-35, 18], [42, 0], [-45, -2], [-16, 24], [30, -36], [-59, 18], [33, -16], [-23, -26], [-2, 20], [44, -28], [33, 24], [37, 12], [-45, 34], [-36, 12], [67, 12], [45, 6], [13, 30], [31, -50], [54, -36], [68, -12], [33, 12], [37, 28], [-15, 46], [-79, -8], [30, -12], [-3, 12], [-85, 2], [-13, -34], [-15, -12], [-64, -8], [-9, -18], [22, -4], [-51, -6], [-27, 24], [-13, 6], [-23, -18], [-6, 12], [21, 30], [-32, 16], [-45, -2], [-99, 4], [63, -12], [-22, -12], [45, -20], [84, 8], [23, -10], [27, 6], [36, -16], [-66, 16], [25, -42], [51, -34]], 'char_orbit_index': 1, 'field_poly': [-3, -1, 1], 'hecke_orbit_code': 85568392953598081, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4225.2.a.t', '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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0, -96, 8, 0, 306, 0, 276, 116, 42, 82, 0, 196, 116, -44, -496, 0, 0, -38, -64, 102, 0, 38, 120, 32, -360, 0, -358, 8, -260, 0, 0, 160, 198, 124, -26, 0, 92, 48, 30, -164, 0, -333, 0, -36, 78, 0, 436, -60, 29, -32, 0, -22, -518, 40, -382, 0, 486, -54, -466, 306, 0, 438, 4, -28, -694, 0, 192, 406, 0, 310, 0, 62, -336, 132, -24, 0, 24, 86, -138, 236, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1195145
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '65.2.e.b', 'target_level': 65, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1195146
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '325.2.e.a', 'target_level': 325, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1195147
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '325.2.o.b', 'target_level': 325, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 1195148
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '585.2.j.d', 'target_level': 585, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '195.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 1195149
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.a.c', 'target_level': 845, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1195150
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.a.f', 'target_level': 845, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1195151
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '845.2.c.d', 'target_level': 845, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1195152
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '845.2.e.d', 'target_level': 845, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1195153
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '845.2.m.d', 'target_level': 845, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1195154
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1040.2.q.o', 'target_level': 1040, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '260.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1195155
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4225.2.a.t', 'target_level': 4225, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1195156
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '4225.2.a.x', 'target_level': 4225, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1195157
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '7605.2.a.bb', 'target_level': 7605, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1195158
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4225.2.a.t', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7605.2.a.bg', 'target_level': 7605, 'twist_class_label': '65.2.e.b', 'twist_class_level': 65, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3536700
{'charpoly_factorization': [[[-3, 1, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 2}
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id: 3536701
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 85568392953598081, 'p': 3}
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id: 3536702
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568392953598081, 'p': 5}
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id: 3536703
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 85568392953598081, 'p': 7}
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id: 3536704
{'charpoly_factorization': [[[-9, -4, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 11}
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id: 3536705
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568392953598081, 'p': 13}
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id: 3536706
{'charpoly_factorization': [[[3, 8, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 17}
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id: 3536707
{'charpoly_factorization': [[[-9, -4, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 19}
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id: 3536708
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 85568392953598081, 'p': 23}
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id: 3536709
{'charpoly_factorization': [[[-51, -2, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 29}
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id: 3536710
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 85568392953598081, 'p': 31}
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id: 3536711
{'charpoly_factorization': [[[-13, 0, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 37}
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id: 3536712
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 85568392953598081, 'p': 41}
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id: 3536713
{'charpoly_factorization': [[[-43, -6, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 43}
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id: 3536714
{'charpoly_factorization': [[[-48, -4, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 47}
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id: 3536715
{'charpoly_factorization': [[[-36, 8, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 53}
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id: 3536716
{'charpoly_factorization': [[[-117, 0, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 59}
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id: 3536717
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 85568392953598081, 'p': 61}
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id: 3536718
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 85568392953598081, 'p': 67}
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id: 3536719
{'charpoly_factorization': [[[-81, -12, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 71}
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id: 3536720
{'charpoly_factorization': [[[12, 16, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 73}
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id: 3536721
{'charpoly_factorization': [[[-48, 4, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 79}
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id: 3536722
{'charpoly_factorization': [[[-48, 4, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 83}
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id: 3536723
{'charpoly_factorization': [[[-51, 2, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 89}
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id: 3536724
{'charpoly_factorization': [[[131, 24, 1], 1]], 'hecke_orbit_code': 85568392953598081, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '4225.2.a.t', 'level': 4225, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 63704305
{'hecke_orbit_code': 85568392953598081, 'n': 1, 'trace_an': 2}
-
id: 63704306
{'hecke_orbit_code': 85568392953598081, 'n': 2, 'trace_an': -1}
-
id: 63704307
{'hecke_orbit_code': 85568392953598081, 'n': 3, 'trace_an': -2}
-
id: 63704308
{'hecke_orbit_code': 85568392953598081, 'n': 4, 'trace_an': 3}
-
id: 63704309
{'hecke_orbit_code': 85568392953598081, 'n': 5, 'trace_an': 0}
-
id: 63704310
{'hecke_orbit_code': 85568392953598081, 'n': 6, 'trace_an': 1}
-
id: 63704311
{'hecke_orbit_code': 85568392953598081, 'n': 7, 'trace_an': -2}
-
id: 63704312
{'hecke_orbit_code': 85568392953598081, 'n': 8, 'trace_an': -6}
-
id: 63704313
{'hecke_orbit_code': 85568392953598081, 'n': 9, 'trace_an': -4}
-
id: 63704314
{'hecke_orbit_code': 85568392953598081, 'n': 10, 'trace_an': 0}
-
id: 63704315
{'hecke_orbit_code': 85568392953598081, 'n': 11, 'trace_an': 4}
-
id: 63704316
{'hecke_orbit_code': 85568392953598081, 'n': 12, 'trace_an': -3}
-
id: 63704317
{'hecke_orbit_code': 85568392953598081, 'n': 13, 'trace_an': 0}
-
id: 63704318
{'hecke_orbit_code': 85568392953598081, 'n': 14, 'trace_an': 1}
-
id: 63704319
{'hecke_orbit_code': 85568392953598081, 'n': 15, 'trace_an': 0}
-
id: 63704320
{'hecke_orbit_code': 85568392953598081, 'n': 16, 'trace_an': -3}
-
id: 63704321
{'hecke_orbit_code': 85568392953598081, 'n': 17, 'trace_an': -8}
-
id: 63704322
{'hecke_orbit_code': 85568392953598081, 'n': 18, 'trace_an': 2}
-
id: 63704323
{'hecke_orbit_code': 85568392953598081, 'n': 19, 'trace_an': 4}
-
id: 63704324
{'hecke_orbit_code': 85568392953598081, 'n': 20, 'trace_an': 0}
-
id: 63704325
{'hecke_orbit_code': 85568392953598081, 'n': 21, 'trace_an': 2}
-
id: 63704326
{'hecke_orbit_code': 85568392953598081, 'n': 22, 'trace_an': 11}
-
id: 63704327
{'hecke_orbit_code': 85568392953598081, 'n': 23, 'trace_an': 6}
-
id: 63704328
{'hecke_orbit_code': 85568392953598081, 'n': 24, 'trace_an': 6}
-
id: 63704329
{'hecke_orbit_code': 85568392953598081, 'n': 25, 'trace_an': 0}
-
id: 63704330
{'hecke_orbit_code': 85568392953598081, 'n': 26, 'trace_an': 0}
-
id: 63704331
{'hecke_orbit_code': 85568392953598081, 'n': 27, 'trace_an': 10}
-
id: 63704332
{'hecke_orbit_code': 85568392953598081, 'n': 28, 'trace_an': -3}
-
id: 63704333
{'hecke_orbit_code': 85568392953598081, 'n': 29, 'trace_an': 2}
-
id: 63704334
{'hecke_orbit_code': 85568392953598081, 'n': 30, 'trace_an': 0}
-
id: 63704335
{'hecke_orbit_code': 85568392953598081, 'n': 31, 'trace_an': 8}
-
id: 63704336
{'hecke_orbit_code': 85568392953598081, 'n': 32, 'trace_an': 7}
-
id: 63704337
{'hecke_orbit_code': 85568392953598081, 'n': 33, 'trace_an': -4}
-
id: 63704338
{'hecke_orbit_code': 85568392953598081, 'n': 34, 'trace_an': 17}
-
id: 63704339
{'hecke_orbit_code': 85568392953598081, 'n': 35, 'trace_an': 0}
-
id: 63704340
{'hecke_orbit_code': 85568392953598081, 'n': 36, 'trace_an': -6}
-
id: 63704341
{'hecke_orbit_code': 85568392953598081, 'n': 37, 'trace_an': 0}
-
id: 63704342
{'hecke_orbit_code': 85568392953598081, 'n': 38, 'trace_an': -15}
-
id: 63704343
{'hecke_orbit_code': 85568392953598081, 'n': 39, 'trace_an': 0}
-
id: 63704344
{'hecke_orbit_code': 85568392953598081, 'n': 40, 'trace_an': 0}
-
id: 63704345
{'hecke_orbit_code': 85568392953598081, 'n': 41, 'trace_an': -6}
-
id: 63704346
{'hecke_orbit_code': 85568392953598081, 'n': 42, 'trace_an': -1}
-
id: 63704347
{'hecke_orbit_code': 85568392953598081, 'n': 43, 'trace_an': 6}
-
id: 63704348
{'hecke_orbit_code': 85568392953598081, 'n': 44, 'trace_an': -7}
-
id: 63704349
{'hecke_orbit_code': 85568392953598081, 'n': 45, 'trace_an': 0}
-
id: 63704350
{'hecke_orbit_code': 85568392953598081, 'n': 46, 'trace_an': -3}
-
id: 63704351
{'hecke_orbit_code': 85568392953598081, 'n': 47, 'trace_an': 4}
-
id: 63704352
{'hecke_orbit_code': 85568392953598081, 'n': 48, 'trace_an': 3}
-
id: 63704353
{'hecke_orbit_code': 85568392953598081, 'n': 49, 'trace_an': -12}
-
id: 63704354
{'hecke_orbit_code': 85568392953598081, 'n': 50, 'trace_an': 0}
-
id: 63704355
{'hecke_orbit_code': 85568392953598081, 'n': 51, 'trace_an': 8}
-
id: 63704356
{'hecke_orbit_code': 85568392953598081, 'n': 52, 'trace_an': 0}
-
id: 63704357
{'hecke_orbit_code': 85568392953598081, 'n': 53, 'trace_an': -8}
-
id: 63704358
{'hecke_orbit_code': 85568392953598081, 'n': 54, 'trace_an': -5}
-
id: 63704359
{'hecke_orbit_code': 85568392953598081, 'n': 55, 'trace_an': 0}
-
id: 63704360
{'hecke_orbit_code': 85568392953598081, 'n': 56, 'trace_an': 6}
-
id: 63704361
{'hecke_orbit_code': 85568392953598081, 'n': 57, 'trace_an': -4}
-
id: 63704362
{'hecke_orbit_code': 85568392953598081, 'n': 58, 'trace_an': 25}
-
id: 63704363
{'hecke_orbit_code': 85568392953598081, 'n': 59, 'trace_an': 0}
-
id: 63704364
{'hecke_orbit_code': 85568392953598081, 'n': 60, 'trace_an': 0}
-
id: 63704365
{'hecke_orbit_code': 85568392953598081, 'n': 61, 'trace_an': -2}
-
id: 63704366
{'hecke_orbit_code': 85568392953598081, 'n': 62, 'trace_an': -4}
-
id: 63704367
{'hecke_orbit_code': 85568392953598081, 'n': 63, 'trace_an': 4}
-
id: 63704368
{'hecke_orbit_code': 85568392953598081, 'n': 64, 'trace_an': -4}
-
id: 63704369
{'hecke_orbit_code': 85568392953598081, 'n': 65, 'trace_an': 0}
-
id: 63704370
{'hecke_orbit_code': 85568392953598081, 'n': 66, 'trace_an': -11}
-
id: 63704371
{'hecke_orbit_code': 85568392953598081, 'n': 67, 'trace_an': -14}
-
id: 63704372
{'hecke_orbit_code': 85568392953598081, 'n': 68, 'trace_an': -25}
-
id: 63704373
{'hecke_orbit_code': 85568392953598081, 'n': 69, 'trace_an': -6}
-
id: 63704374
{'hecke_orbit_code': 85568392953598081, 'n': 70, 'trace_an': 0}
-
id: 63704375
{'hecke_orbit_code': 85568392953598081, 'n': 71, 'trace_an': 12}
-
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