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mf_newforms • Show schema
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{'Nk2': 648, 'analytic_conductor': 1.2935765127447423, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [162, 1, [83], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[5, [0, 1]], [11, [-3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925090, 'hecke_ring_generator_nbound': 1, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '162.2.a.b', 'level': 162, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '18.2.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+2q^{7}-q^{8}+3q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/162/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '162.2.a', 'trace_display': [-1, 0, 0, 2], 'trace_hash': 253532594654622027, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.935', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.704', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [1, -1, 0, 1, 0, 0, 2, -1, 0, 0, 3, 0, 2, -2, 0, 1, 3, 0, -1, 0, 0, -3, 6, 0, -5, -2, 0, 2, -6, 0, -4, -1, 0, -3, 0, 0, -4, 1, 0, 0, -9, 0, -1, 3, 0, -6, 6, 0, -3, 5, 0, 2, -12, 0, 0, -2, 0, 6, -3, 0, 8, 4, 0, 1, 0, 0, 5, 3, 0, 0, 12, 0, 11, 4, 0, -1, 6, 0, -4, 0, 0, 9, -12, 0, 0, 1, 0, -3, -6, 0, 4, 6, 0, -6, 0, 0, 5, 3, 0, -5, 0, 0, 14, -2, 0, 12, -3, 0, -16, 0, 0, 2, -6, 0, 0, -6, 0, 3, 6, 0, -2, -8, 0, -4, 0, 0, 2, -1, 0, 0, 0, 0, -2, -5, 0, -3, 3, 0, -19, 0, 0, -12, 6, 0, 0, -11, 0, -4, 6, 0, -10, 1, 0, -6, 0, 0, -4, 4, 0, 0, 12, 0, -4, -9, 0, 12, 12, 0, -9, 0, 0, -1, 6, 0, -10, 3, 0, 6, -12, 0, 14, -4, 0, -6, 0, 0, 9, 6, 0, 0, 18, 0, 5, -5, 0, -3, 12, 0, -10, 5, 0, 0, -12, 0, 0, -14, 0, 2, -3, 0, 20, -12, 0, 3, 0, 0, -8, 16, 0, 0, 6, 0, 26, -2, 0, 6, -21, 0, 14, 0, 0, 6, -3, 0, 0, -3, 0, -6, -6, 0, -7, 2, 0, 8, 0, 0, -2, 4, 0, 0, -21, 0, 18, -2, 0, 1, 21, 0, -8, 0, 0, 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0, 18, 0, -16, -14, 0, 6, 12, 0, -10, 0, 0, 2, -9, 0, 0, -3, 0, -12, -12, 0, 7, -20, 0, 20, 0, 0, -4, -12, 0, 15, -24, 0, 26, -16, 0, 3, 42, 0, 35, 0, 0, -30, -24, 0, 0, 7, 0, -8, -12, 0, 10, 16, 0, 6, 0, 0, 8, -8, 0, 0, 42, 0, -19, 6, 0, 3, 0, 0, 4, 0, 0, 26, -6, 0, 0, -2, 0, 9, 24, 0, -36, 27, 0, 6, 0, 0, -31, -21, 0, 0, -48, 0, -36, -17, 0, 14, 0, 0, 38, 0, 0, -30, 24, 0, 20, -20, 0, 6, 6, 0, 3, -3, 0, -15, 0, 0, 14, -10, 0, 0, 60, 0, -54, -3, 0, 3, -3, 0, 22, -5, 0, -6, -9, 0, 0, -6, 0, -42, 6, 0, -15, 8, 0, -7, 0, 0, -22, 2, 0, 0, 36, 0, -38, -26, 0, 8, 51, 0, -18, 0, 0, -15, 0, 0, 0, 18, 0, -2, -6, 0, -16, 4, 0, -24, 0, 0, -28, 13, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [1], [0], [0], [2], [-1], [0], [0], [3], [0], [2], [-2], [0], [1], [3], [0], [-1], [0], [0], [-3], [6], [0], [-5], [-2], [0], [2], [-6], [0], [-4], [-1], [0], [-3], [0], [0], [-4], [1], [0], [0], [-9], [0], [-1], [3], [0], [-6], [6], [0], [-3], [5], [0], [2], [-12], [0], [0], [-2], [0], [6], [-3], [0], [8], [4], [0], [1], [0], [0], [5], [3], [0], [0], [12], [0], [11], [4], [0], [-1], [6], [0], [-4], [0], [0], [9], [-12], [0], [0], [1], [0], [-3], [-6], [0], [4], [6], [0], [-6], [0], [0], [5], [3], [0], [-5]], 'ap': [[-1], [0], [0], [2], [3], [2], [3], [-1], [6], [-6], [-4], [-4], [-9], [-1], [6], [-12], [-3], [8], [5], [12], [11], [-4], [-12], [-6], [5], [0], [14], [-3], [-16], [-6], [2], [0], [3], [-19], [6], [-10], [-4], [-4], [12], [6], [-12], [14], [18], [5], [12], [-10], [20], [26], [-21], [14], [-3], [-6], [-7], [-21], [21], [-18], [24], [20], [-10], [-6], [-4], [-30], [-7], [18], [29], [18], [-4], [-1], [-33], [-16], [21], [18], [-28], [-34], [23], [0], [-18], [20], [27], [17], [12], [20], [30], [-7], [8], [-3], [-9], [17], [30], [20], [15], [42], [26], [15], [-13], [0], [0], [3], [20], [-4], [-1], [30], [39], [-45], [-37], [11], [9], [-6], [-12], [-37], [-28], [-16], [-27], [35], [-40], [3], [23], [-18], [6], [36], [-4], [-22], [-36], [9], [8], [-30], [-4], [36], [26], [14], [47], [-6], [8], [2], [-42], [2], [-18], [-4], [12], [-33], [-7], [18], [-16], [12], [-10], [-12], [26], [42], [35], [-24], [8], [42], [-19], [0], [-31], [-48], [38], [6], [14], [60], [-3], [-9], [-22], [36], [51], [0], [-16], [-28]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660925090, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '162.2.a.b', 'level': 162, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1]], 1, 1], [[[2, -1], [3, 1]], 2, 2], [[[2, 1], [3, 1]], 1, 1]], 'ALdims': [1, 1, 2, 0], 'Nk2': 648, 'analytic_conductor': 1.2935765127447423, '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': [162, 1, [83], [1]], 'conrey_index': 1, 'cusp_dim': 16, 'dim': 4, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33554594, 'hecke_orbit_dims': [1, 1, 1, 1], 'label': '162.2.a', 'level': 162, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 39, 'mf_new_dim': 4, 'num_forms': 4, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 4, 'sturm_bound': 54, 'trace_bound': 5, 'trace_display': [0, 0, 0, -4], 'traces': [4, 0, 0, 4, 0, 0, -4, 0, 0, 6, 0, 0, 2, 0, 0, 4, 0, 0, -10, 0, 0, -6, 0, 0, -2, 0, 0, -4, 0, 0, -16, 0, 0, 0, 0, 0, -10, 0, 0, 6, 0, 0, 14, 0, 0, -12, 0, 0, 12, 0, 0, 2, 0, 0, 0, 0, 0, -6, 0, 0, 14, 0, 0, 4, 0, 0, 2, 0, 0, -24, 0, 0, 44, 0, 0, -10, 0, 0, -40, 0, 0, 6, 0, 0, 18, 0, 0, -6, 0, 0, 16, 0, 0, 12, 0, 0, 14, 0, 0, -2, 0, 0, 20, 0, 0, 36, 0, 0, -10, 0, 0, -4, 0, 0, 0, 0, 0, 6, 0, 0, -26, 0, 0, -16, 0, 0, -28, 0, 0, -6, 0, 0, 28, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -54, 0, 0, -10, 0, 0, -4, 0, 0, -12, 0, 0, -34, 0, 0, 6, 0, 0, 8, 0, 0, 48, 0, 0, -42, 0, 0, 14, 0, 0, -52, 0, 0, 18, 0, 0, 8, 0, 0, -12, 0, 0, 18, 0, 0, -24, 0, 0, -16, 0, 0, 12, 0, 0, -28, 0, 0, 12, 0, 0, -36, 0, 0, 2, 0, 0, 56, 0, 0, -18, 0, 0, 16, 0, 0, 0, 0, 0, 68, 0, 0, 42, 0, 0, 74, 0, 0, -6, 0, 0, 72, 0, 0, -36, 0, 0, -40, 0, 0, 14, 0, 0, 4, 0, 0, -6, 0, 0, 36, 0, 0, 4, 0, 0, -8, 0, 0, 24, 0, 0, 36, 0, 0, 2, 0, 0, 8, 0, 0, -24, 0, 0, -40, 0, 0, -24, 0, 0, -16, 0, 0, -12, 0, 0, -32, 0, 0, 44, 0, 0, 0, 0, 0, -30, 0, 0, -68, 0, 0, -10, 0, 0, 26, 0, 0, -24, 0, 0, 104, 0, 0, -40, 0, 0, -36, 0, 0, -24, 0, 0, -28, 0, 0, 6, 0, 0, 32, 0, 0, -48, 0, 0, 2, 0, 0, 18, 0, 0, -56, 0, 0, -6, 0, 0, -4, 0, 0, -6, 0, 0, 72, 0, 0, 0, 0, 0, -42, 0, 0, 16, 0, 0, -40, 0, 0, -6, 0, 0, -88, 0, 0, 12, 0, 0, -10, 0, 0, -60, 0, 0, 0, 0, 0, 14, 0, 0, 36, 0, 0, -18, 0, 0, -10, 0, 0, -2, 0, 0, -8, 0, 0, 96, 0, 0, -16, 0, 0, 20, 0, 0, 72, 0, 0, 6, 0, 0, 14, 0, 0, 36, 0, 0, 40, 0, 0, 48, 0, 0, 8, 0, 0, -10, 0, 0, -40, 0, 0, -18, 0, 0, 18, 0, 0, -4, 0, 0, -54, 0, 0, 66, 0, 0, 32, 0, 0, 0, 0, 0, 56, 0, 0, -36, 0, 0, 52, 0, 0, 6, 0, 0, -22, 0, 0, -12, 0, 0, -14, 0, 0, -26, 0, 0, 44, 0, 0, 54, 0, 0, -90, 0, 0, -16, 0, 0, -106, 0, 0, 90, 0, 0, 36, 0, 0, -28, 0, 0, -44, 0, 0, -12, 0, 0, 36, 0, 0, -6, 0, 0, 8, 0, 0, 12, 0, 0, -20, 0, 0, 28, 0, 0, -72, 0, 0, -90, 0, 0, -10, 0, 0, 0, 0, 0, 86, 0, 0, 30, 0, 0, 112, 0, 0, 2, 0, 0, -20, 0, 0, 66, 0, 0, 90, 0, 0, 0, 0, 0, -106, 0, 0, 84, 0, 0, -28, 0, 0, -54, 0, 0, -72, 0, 0, 42, 0, 0, 40, 0, 0, -10, 0, 0, -72, 0, 0, -24, 0, 0, -4, 0, 0, -4, 0, 0, -16, 0, 0, -6, 0, 0, 44, 0, 0, -12, 0, 0, 86, 0, 0, -84, 0, 0, -8, 0, 0, -34, 0, 0, -64, 0, 0, -78, 0, 0, -30, 0, 0, 6, 0, 0, 38, 0, 0, -18, 0, 0, -18, 0, 0, 8, 0, 0, 72, 0, 0, -120, 0, 0, 38, 0, 0, 48, 0, 0, -72, 0, 0, -24, 0, 0, -22, 0, 0, -42, 0, 0, 4, 0, 0, 24, 0, 0, -54, 0, 0, 14, 0, 0, -40, 0, 0, 42, 0, 0, -90, 0, 0, -52, 0, 0, 16, 0, 0, -6, 0, 0, 86, 0, 0, 18, 0, 0, 0, 0, 0, -36, 0, 0, 88, 0, 0, 8, 0, 0, -4, 0, 0, 66, 0, 0, 56, 0, 0, -12, 0, 0, 134, 0, 0, 0, 0, 0, -54, 0, 0, 18, 0, 0, 56, 0, 0, 42, 0, 0, 80, 0, 0, -24, 0, 0, -152, 0, 0, 24, 0, 0, -70, 0, 0, -16, 0, 0, 8, 0, 0, 48, 0, 0, 72, 0, 0, 12, 0, 0, 56, 0, 0, -96, 0, 0, 34, 0, 0, -28, 0, 0, 108, 0, 0, -48, 0, 0, 0, 0, 0, 12, 0, 0, -46, 0, 0, 24, 0, 0, -62, 0, 0, -36, 0, 0, 56, 0, 0, 12, 0, 0, 8, 0, 0, 2, 0, 0, -72, 0, 0, 24, 0, 0, 118, 0, 0, 56, 0, 0, 80, 0, 0, 54, 0, 0, 32, 0, 0, -18, 0, 0, -34, 0, 0, -36, 0, 0, 18, 0, 0, 16, 0, 0, 28, 0, 0, 12, 0, 0, -34, 0, 0, 0, 0, 0, -46, 0, 0, 30, 0, 0, 136, 0, 0, 68, 0, 0, -72, 0, 0, 54, 0, 0, -36, 0, 0, 42, 0, 0, -94, 0, 0, 24, 0, 0, -72, 0, 0, 74, 0, 0, 44, 0, 0, -96, 0, 0, 32, 0, 0, -6, 0, 0, -66, 0, 0, 18, 0, 0, -46, 0, 0, 72, 0, 0, -108, 0, 0, 6, 0, 0, 22, 0, 0, -36, 0, 0, -72, 0, 0, -60, 0, 0, -60, 0, 0, -40, 0, 0, -52, 0, 0, 12, 0, 0, -236, 0, 0, 14, 0, 0, -36, 0, 0, -30, 0, 0, 18, 0, 0, 4, 0, 0, -136, 0, 0, -144, 0, 0, -130, 0, 0, -6], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 136251
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '18.2.c.a', 'target_level': 18, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 136252
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '54.2.c.a', 'target_level': 54, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 136253
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '144.2.i.c', 'target_level': 144, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 136254
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.2.a.b', 'target_level': 162, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 136255
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '162.2.a.c', 'target_level': 162, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 136256
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.2.i.b', 'target_level': 432, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 136257
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '450.2.e.i', 'target_level': 450, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 136258
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '450.2.j.e', 'target_level': 450, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 136259
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.2.i.a', 'target_level': 576, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 136260
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '576.2.i.g', 'target_level': 576, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 136261
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '882.2.e.g', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
-
id: 136262
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '882.2.e.i', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 136263
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '882.2.f.d', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
-
id: 136264
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '882.2.h.b', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 136265
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '882.2.h.c', 'target_level': 882, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
-
id: 136266
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1296.2.a.f', 'target_level': 1296, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 136267
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1296.2.a.g', 'target_level': 1296, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 136268
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1350.2.e.c', 'target_level': 1350, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 136269
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1350.2.j.a', 'target_level': 1350, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 136270
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1728.2.i.e', 'target_level': 1728, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 136271
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1728.2.i.f', 'target_level': 1728, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 136272
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2646.2.e.b', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 136273
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2646.2.e.c', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 136274
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2646.2.f.g', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 136275
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2646.2.h.h', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 136276
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2646.2.h.i', 'target_level': 2646, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 136277
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4050.2.a.c', 'target_level': 4050, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 136278
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '4050.2.a.v', 'target_level': 4050, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 136279
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4050.2.c.c', 'target_level': 4050, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 136280
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4050.2.c.r', 'target_level': 4050, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 136281
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5184.2.a.o', 'target_level': 5184, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 136282
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5184.2.a.p', 'target_level': 5184, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 136283
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '5184.2.a.q', 'target_level': 5184, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 136284
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '5184.2.a.r', 'target_level': 5184, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 136285
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '7938.2.a.i', 'target_level': 7938, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 136286
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '162.2.a.b', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '7938.2.a.x', 'target_level': 7938, 'twist_class_label': '18.2.c.a', 'twist_class_level': 18, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 423350
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 2}
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id: 423351
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 3}
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id: 423352
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 5}
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id: 423353
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 7}
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id: 423354
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 11}
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id: 423355
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 13}
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id: 423356
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 17}
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id: 423357
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 19}
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id: 423358
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 23}
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id: 423359
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 29}
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id: 423360
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 31}
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id: 423361
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 37}
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id: 423362
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 41}
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id: 423363
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 43}
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id: 423364
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 47}
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id: 423365
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 53}
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id: 423366
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 59}
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id: 423367
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 61}
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id: 423368
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 67}
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id: 423369
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 71}
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id: 423370
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 73}
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id: 423371
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 79}
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id: 423372
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 83}
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id: 423373
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 89}
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id: 423374
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660925090, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '162.2.a.b', 'level': 162, '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: 62248000
{'hecke_orbit_code': 4503599660925090, 'n': 1, 'trace_an': 1}
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