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mf_newforms • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [637, 3, [248, 197], [3, 2]], 'cm_discs': [], 'conrey_index': 295, 'dim': 16, 'field_disc': 468066644398978174550016, 'field_disc_factorization': [[2, 32], [3, 8], [359, 4]], 'field_poly': [1, 0, 14, 0, 177, 0, 250, 0, 248, 0, 124, 0, 45, 0, 8, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [25, -60, 119, -80, 54, -14, 9, -2, 1]], [3, [2401, 0, 5880, 0, 11117, 0, 6668, 0, 2760, 0, 698, 0, 129, 0, 14, 0, 1]], [5, [1, 0, -12, 0, 31, 0, -14, 0, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539939532014205, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 13, 3, 1, 3, 0], [1, 1, 91, 14, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '637.2.f.l', 'level': 637, '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': [7, 13], 'level_radical': 91, 'minimal_twist': '637.2.f.l', 'nf_label': '16.0.468066644398978174550016.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{4}+\\beta _{10})q^{2}+(\\beta _{8}-\\beta _{15})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '637.2.f', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1], [-2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0], [0, -2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 2, -2, 0], [-1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, -2, 1], [0, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, -2, 0, 0, -1, 0, 2, -1, 0, 0, 0], [1, 0, -1, 0, 1, 0, -1, 0, 0, -1, 1, 1, 1, 0, 0, 0], [0, -1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, -2, 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[5, 0, 1, 0, 5, 0, 8, 0, 0, 5, 5, -8, -1, 0, 0, 0], [0, 12, 0, 5, 0, -3, 0, 0, 12, 0, 0, 0, 0, 5, -22, -3], [-15, 0, 8, 0, -15, 0, -2, 0, 0, 6, -15, 2, -8, 0, 0, 0], [0, 15, 0, -5, 0, 14, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0]], 'char_orbit_index': 6, 'field_poly': [1, 0, 14, 0, 177, 0, 250, 0, 248, 0, 124, 0, 45, 0, 8, 0, 1], 'hecke_orbit_code': 49539939532014205, 'hecke_ring_character_values': [[248, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [197, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 773722, 773722, 773722, 773722, 773722, 773722, 773722, 773722, 773722, 773722, 773722, 773722, 2734, 773722], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 1, 0, 0, 0], [0, -3, 0, -1, 0, 0, 0, 0, -3, 0, 0, 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mf_newspaces • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [637, 3, [248, 197], [3, 2]], 'conrey_index': 295, 'cusp_dim': 116, 'dim': 84, 'eis_dim': 32, 'eis_new_dim': 20, 'hecke_cutter_primes': [2, 3, 5], 'hecke_orbit_code': 343630938749, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 4, 8, 8, 8, 12, 12, 16], 'label': '637.2.f', 'level': 637, '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': [7, 13], 'level_radical': 91, 'mf_dim': 148, 'mf_new_dim': 104, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 42, 'sturm_bound': 130, 'trace_bound': 5, 'trace_display': [2, 0, 8, 0], 'traces': [84, 2, 0, -34, 8, -6, 0, -24, -26, 2, -2, -4, 2, 0, -10, -10, -10, -20, 8, 10, 0, -4, 6, -28, 60, 12, 36, 0, -8, 24, 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-372, -120, -88, 0, -592, -160, -120, 238, 292, 236, 0, -112, 58, -76, 432, 22, 174, 0, -18, -56, -44, 12, -268, 228, 0, -152, 126, 132, -188, 4, 488, 0, 100, -148, 48, -148, 92, -80, 0, 280, -144, 158, -68, 132, 30, 0, 140, -904, -152, 152, 0, 60, 0, 12, -90, -134, 308, -46, 326, 0, 340, -586, -272, 252, 152, -18, 0, -12, -110, -28, -96, 34, -22, 0, 182, 200, -4, -120, 22, -308, 0, -124, 204, 114, -126, -44, -4], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 425700
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '637.2.f.l', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 425701
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '637.2.f.l', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 425702
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '637.2.f.l', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 425703
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '637.2.f.l', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '91.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 425704
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '637.2.g.m', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 425705
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '637.2.g.m', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 425706
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '637.2.g.m', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '91.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 425707
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '637.2.g.m', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '91.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 425708
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '637.2.h.m', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 425709
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '637.2.h.m', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 425710
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '637.2.h.m', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '91.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 425711
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '637.2.h.m', 'target_level': 637, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '91.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 425712
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 61, 'target_is_minimal': False, 'target_label': '8281.2.a.ci', 'target_level': 8281, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 425713
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 61, 'target_is_minimal': False, 'target_label': '8281.2.a.ci', 'target_level': 8281, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '91.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 425714
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 64, 'target_is_minimal': False, 'target_label': '8281.2.a.cl', 'target_level': 8281, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 425715
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '637.2.f.l', 'source_level': 637, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 64, 'target_is_minimal': False, 'target_label': '8281.2.a.cl', 'target_level': 8281, 'twist_class_label': '637.2.f.l', 'twist_class_level': 637, 'twisting_char_label': '91.t', 'twisting_char_orbit': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1147350
{'charpoly_factorization': [[[25, -60, 119, -80, 54, -14, 9, -2, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 2}
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id: 1147351
{'charpoly_factorization': [[[2401, 0, 5880, 0, 11117, 0, 6668, 0, 2760, 0, 698, 0, 129, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 49539939532014205, 'p': 3}
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id: 1147352
{'charpoly_factorization': [[[1, 0, -12, 0, 31, 0, -14, 0, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 5}
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id: 1147353
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 49539939532014205, 'p': 7}
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id: 1147354
{'charpoly_factorization': [[[25, 60, 119, 80, 54, 14, 9, 2, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 11}
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id: 1147355
{'charpoly_factorization': [[[815730721, 0, 164111506, 0, 12281230, 0, 842296, 0, 76567, 0, 4984, 0, 430, 0, 34, 0, 1], 1]], 'hecke_orbit_code': 49539939532014205, 'p': 13}
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id: 1147356
{'charpoly_factorization': [[[13845841, 0, 14385386, 0, 11351470, 0, 3302920, 0, 705207, 0, 48296, 0, 2398, 0, 58, 0, 1], 1]], 'hecke_orbit_code': 49539939532014205, 'p': 17}
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id: 1147357
{'charpoly_factorization': [[[1500625, 0, 7658700, 0, 36256529, 0, 14218072, 0, 4751808, 0, 204730, 0, 6525, 0, 94, 0, 1], 1]], 'hecke_orbit_code': 49539939532014205, 'p': 19}
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id: 1147358
{'charpoly_factorization': [[[10000, 5600, 4536, 416, 432, -28, 50, -6, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 23}
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id: 1147359
{'charpoly_factorization': [[[3171961, 338390, 187485, -1902, 6204, -40, 101, -4, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 29}
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id: 1147360
{'charpoly_factorization': [[[26569, 0, -11726, 0, 1518, 0, -70, 0, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 31}
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id: 1147361
{'charpoly_factorization': [[[144400, 150480, 124136, 37096, 9360, 448, 102, 4, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 37}
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id: 1147362
{'charpoly_factorization': [[[16777216, 0, 29360128, 0, 39059456, 0, 20119552, 0, 7782400, 0, 515072, 0, 27968, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 49539939532014205, 'p': 41}
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id: 1147363
{'charpoly_factorization': [[[10272025, -3346020, 1041861, -118220, 20134, -1848, 271, -16, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 43}
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id: 1147364
{'charpoly_factorization': [[[27889, 0, -131954, 0, 13374, 0, -226, 0, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 47}
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id: 1147365
{'charpoly_factorization': [[[271, -70, -80, 2, 1], 4]], 'hecke_orbit_code': 49539939532014205, 'p': 53}
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id: 1147366
{'charpoly_factorization': [[[28561, 0, 565474, 0, 9929230, 0, 25009352, 0, 55510743, 0, 1447144, 0, 30142, 0, 194, 0, 1], 1]], 'hecke_orbit_code': 49539939532014205, 'p': 59}
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id: 1147367
{'charpoly_factorization': [[[384160000, 0, 372243200, 0, 298054464, 0, 56464832, 0, 8143680, 0, 307184, 0, 8468, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 49539939532014205, 'p': 61}
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id: 1147368
{'charpoly_factorization': [[[80089, -62826, 47586, -6992, 2539, -384, 106, -10, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 67}
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id: 1147369
{'charpoly_factorization': [[[35473936, 1596208, 1060520, 3160, 22672, 128, 182, -4, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 71}
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id: 1147370
{'charpoly_factorization': [[[2226064, 0, -706640, 0, 45484, 0, -428, 0, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 73}
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id: 1147371
{'charpoly_factorization': [[[8164, -712, -278, 2, 1], 4]], 'hecke_orbit_code': 49539939532014205, 'p': 79}
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id: 1147372
{'charpoly_factorization': [[[405769, 0, -257574, 0, 27838, 0, -350, 0, 1], 2]], 'hecke_orbit_code': 49539939532014205, 'p': 83}
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id: 1147373
{'charpoly_factorization': [[[2045357156640625, 0, 362153599117500, 0, 58710468033889, 0, 903605089896, 0, 9427081296, 0, 56514906, 0, 247549, 0, 606, 0, 1], 1]], 'hecke_orbit_code': 49539939532014205, 'p': 89}
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id: 1147374
{'charpoly_factorization': [[[96254442001, 0, 110400865654, 0, 117123138597, 0, 10674057554, 0, 808419968, 0, 10437992, 0, 101865, 0, 364, 0, 1], 1]], 'hecke_orbit_code': 49539939532014205, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 12, 'label': '637.2.f.l', 'level': 637, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 56899813
{'hecke_orbit_code': 49539939532014205, 'n': 1, 'trace_an': 16}
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id: 56899814
{'hecke_orbit_code': 49539939532014205, 'n': 2, 'trace_an': 4}
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id: 56899815
{'hecke_orbit_code': 49539939532014205, 'n': 3, 'trace_an': 0}
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id: 56899816
{'hecke_orbit_code': 49539939532014205, 'n': 4, 'trace_an': -12}
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id: 56899817
{'hecke_orbit_code': 49539939532014205, 'n': 5, 'trace_an': 0}
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id: 56899818
{'hecke_orbit_code': 49539939532014205, 'n': 6, 'trace_an': 0}
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id: 56899819
{'hecke_orbit_code': 49539939532014205, 'n': 7, 'trace_an': 0}
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id: 56899820
{'hecke_orbit_code': 49539939532014205, 'n': 8, 'trace_an': 24}
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id: 56899821
{'hecke_orbit_code': 49539939532014205, 'n': 9, 'trace_an': -4}
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id: 56899822
{'hecke_orbit_code': 49539939532014205, 'n': 10, 'trace_an': 0}
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id: 56899823
{'hecke_orbit_code': 49539939532014205, 'n': 11, 'trace_an': -4}
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id: 56899824
{'hecke_orbit_code': 49539939532014205, 'n': 12, 'trace_an': 0}
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id: 56899825
{'hecke_orbit_code': 49539939532014205, 'n': 13, 'trace_an': 0}
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id: 56899826
{'hecke_orbit_code': 49539939532014205, 'n': 14, 'trace_an': 0}
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id: 56899827
{'hecke_orbit_code': 49539939532014205, 'n': 15, 'trace_an': -8}
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id: 56899828
{'hecke_orbit_code': 49539939532014205, 'n': 16, 'trace_an': -4}
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id: 56899829
{'hecke_orbit_code': 49539939532014205, 'n': 17, 'trace_an': 0}
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id: 56899830
{'hecke_orbit_code': 49539939532014205, 'n': 18, 'trace_an': -56}
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id: 56899831
{'hecke_orbit_code': 49539939532014205, 'n': 19, 'trace_an': 0}
-
id: 56899832
{'hecke_orbit_code': 49539939532014205, 'n': 20, 'trace_an': 0}
-
id: 56899833
{'hecke_orbit_code': 49539939532014205, 'n': 21, 'trace_an': 0}
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id: 56899834
{'hecke_orbit_code': 49539939532014205, 'n': 22, 'trace_an': 28}
-
id: 56899835
{'hecke_orbit_code': 49539939532014205, 'n': 23, 'trace_an': 12}
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id: 56899836
{'hecke_orbit_code': 49539939532014205, 'n': 24, 'trace_an': 0}
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id: 56899837
{'hecke_orbit_code': 49539939532014205, 'n': 25, 'trace_an': -24}
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id: 56899838
{'hecke_orbit_code': 49539939532014205, 'n': 26, 'trace_an': 0}
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id: 56899839
{'hecke_orbit_code': 49539939532014205, 'n': 27, 'trace_an': 0}
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id: 56899840
{'hecke_orbit_code': 49539939532014205, 'n': 28, 'trace_an': 0}
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id: 56899841
{'hecke_orbit_code': 49539939532014205, 'n': 29, 'trace_an': 8}
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