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mf_newforms • Show schema
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{'Nk2': 4800, 'analytic_conductor': 9.582048242553647, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [1, 2, 1, 2]], 'cm_discs': [-3], 'conrey_indexes': [1151], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [3, 0, 1]], [11, [0, 1]], [13, [-5, 1]], [23, [0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518479206745264, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '1200.2.h.f', 'level': 1200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '1200.2.h.d', 'nf_label': '2.0.3.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\zeta_{6}q^{3}-\\zeta_{6}q^{7}-3q^{9}+5q^{13}+5\\zeta_{6}q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '1200.2.h', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1471772988401719857, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.913', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.932', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [-3, 0], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 5], [0, 0], [3, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [10, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [0, 7], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-15, 0], [0, 0], [0, 0], [0, 0], [-13, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, -9], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-10, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 10], [0, 0], [9, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -5], [0, 0], [-15, 0], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 1], [0, 0], [0, -1], [0, 0], [5, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, 5], [10, 0], [0, 0], [0, 7], [0, 0], [0, 0], [0, 0], [-13, 0], [0, -9], [0, 0], [-10, 0], [0, 10], [0, 0], [0, 0], [5, 0], [0, 0], [0, -2], [0, 0], [19, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, -10], [0, 0], [0, 5], [25, 0], [0, 3], [0, 0], [0, 0], [0, 0], [7, 0], [0, 0], [25, 0], [0, 0], [0, -15], [0, -15], [0, -17], [0, 0], [-29, 0], [0, 0], [0, 0], [-17, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 10], [5, 0], [0, 0], [0, -13], [0, 0], [0, -1], [0, 0], [-35, 0], [0, 0], [0, -10], [5, 0], [0, 0], [14, 0], [0, 0], [0, 0], [0, -9], [25, 0], [0, -15], [0, 0], [0, 0], [-35, 0], [0, 0], [31, 0], [0, 0], [22, 0], [0, 0], [-35, 0], [0, 5], [0, 0], [0, 0], [-10, 0], [0, 0], [0, 22], [0, 0], [0, 0], [0, -21], [0, 0], [0, 25], [0, 0], [0, 0], [0, 0], [0, -17], [-17, 0], [0, -14], [0, 0], [0, 0], [0, 0], [0, 5], [-35, 0], [0, 0], [0, 0], [0, 0], [23, 0], [0, -26], [10, 0], [0, 0], [0, 5], [0, -15], [0, 0], [0, 18], [0, 0], [0, 0], [0, 0], [38, 0], [-50, 0], [0, 0], [0, 0], [0, 30], [0, 0], [31, 0], [0, 0], [0, 31], [50, 0], [0, 30], [0, 0], [0, 10], [-55, 0], [0, 0], [-49, 0], [0, 0], [0, -29], [0, 0], [0, 0], [0, 25], [0, 0], [0, -33], [0, 0], [46, 0], [0, 0], [-35, 0], [0, 0], [0, -10], [0, 0], [25, 0], [0, 0], [0, -13], [0, 0], [0, 26], [0, 0], [0, -35], [0, 0], [-35, 0], [0, 0], [0, 0], [0, 0], [0, -34], [0, 0], [0, 0], [0, 0], [0, -35], [10, 0], [19, 0], [0, 0], [0, 0], [47, 0], [0, 0], [5, 0], [0, -15], [0, 0], [0, -35], [0, 0], [0, 3], [-49, 0], [0, -21], [0, 0], [65, 0], [0, 0], [0, 0], [0, 0], [65, 0], [0, -33], [-29, 0], [0, 0], [-55, 0], [0, 0], [0, 25], [0, 0], [0, 0], [0, 0], [2, 0], [50, 0], [0, 0], [0, 0], [0, 0], [0, 10], [-70, 0], [-14, 0], [0, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, -15], [25, 0], [0, 0], [0, 27], [0, 0], [0, 0], [-22, 0], [0, 19], [0, 0], [0, 0], [0, 0], [43, 0], [0, 25], [0, 0], [0, -42], [0, 0], [71, 0], [0, 0], [0, 0], [0, 39], [0, 0], [65, 0], [0, 30], [0, -35], [0, 0], [0, -38], [0, 0], [34, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 45], [0, 43], [11, 0], [0, 0], [0, 0], [0, -41], [0, 0], [0, 5], [0, 0], [50, 0], [0, 0], [0, 0], [19, 0], [0, 0], [0, 0], [-53, 0], [0, -6], [0, 0], [70, 0], [0, 47], [0, 0], [-74, 0], [-35, 0], [0, 0], [0, 30], [0, 0], [0, 0], [0, 42], [0, 0], [83, 0], [0, -14], [-10, 0], [0, 45], [65, 0], [0, -37], [0, 0], [59, 0], [-73, 0], [0, 0], [0, 0], [0, -30], [0, 0], [-37, 0], [0, -9], [0, 0], [65, 0], [0, 0], [0, 50], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [85, 0], [0, 0], [0, 25], [0, 0], [0, 0], [0, -46], [70, 0], [0, 0], [0, 5]], 'char_orbit_index': 8, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 22518479206745264, 'hecke_ring_character_values': [[751, [-1, 0]], [901, [1, 0]], [401, [-1, 0]], [577, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '1200.2.h.f', 'level': 1200, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4800, 'analytic_conductor': 9.582048242553647, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [1, 2, 1, 2]], 'conrey_indexes': [1151], 'cusp_dim': 204, 'dim': 38, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 23], 'hecke_orbit_code': 481069892784, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '1200.2.h', 'level': 1200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 276, 'mf_new_dim': 38, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 38, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [38, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 460, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 744, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 556, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 671450
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1200.2.h.d', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 671451
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1200.2.h.d', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 671452
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1200.2.h.d', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 671453
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1200.2.h.d', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 671454
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1200.2.h.f', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 671455
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1200.2.h.f', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 671456
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1200.2.h.f', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 671457
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1200.2.h.f', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 671458
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1200.2.o.h', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 671459
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1200.2.o.h', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 671460
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1200.2.o.h', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 671461
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1200.2.h.f', 'source_level': 1200, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1200.2.o.h', 'target_level': 1200, 'twist_class_label': '1200.2.h.d', 'twist_class_level': 1200, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1761525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 2}
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id: 1761526
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 22518479206745264, 'p': 3}
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id: 1761527
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 5}
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id: 1761528
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 22518479206745264, 'p': 7}
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id: 1761529
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 11}
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id: 1761530
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 13}
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id: 1761531
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 17}
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id: 1761532
{'charpoly_factorization': [[[75, 0, 1], 1]], 'hecke_orbit_code': 22518479206745264, 'p': 19}
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id: 1761533
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 23}
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id: 1761534
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 29}
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id: 1761535
{'charpoly_factorization': [[[75, 0, 1], 1]], 'hecke_orbit_code': 22518479206745264, 'p': 31}
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id: 1761536
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 37}
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id: 1761537
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 41}
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id: 1761538
{'charpoly_factorization': [[[147, 0, 1], 1]], 'hecke_orbit_code': 22518479206745264, 'p': 43}
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id: 1761539
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 47}
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id: 1761540
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 53}
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id: 1761541
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 59}
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id: 1761542
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 61}
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id: 1761543
{'charpoly_factorization': [[[243, 0, 1], 1]], 'hecke_orbit_code': 22518479206745264, 'p': 67}
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id: 1761544
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 71}
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id: 1761545
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 73}
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id: 1761546
{'charpoly_factorization': [[[300, 0, 1], 1]], 'hecke_orbit_code': 22518479206745264, 'p': 79}
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id: 1761547
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 83}
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id: 1761548
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 89}
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id: 1761549
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 22518479206745264, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 6, 'label': '1200.2.h.f', 'level': 1200, '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: 172705000
{'hecke_orbit_code': 22518479206745264, 'n': 1, 'trace_an': 2}
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id: 172705001
{'hecke_orbit_code': 22518479206745264, 'n': 2, 'trace_an': 0}
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id: 172705002
{'hecke_orbit_code': 22518479206745264, 'n': 3, 'trace_an': 0}
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id: 172705003
{'hecke_orbit_code': 22518479206745264, 'n': 4, 'trace_an': 0}
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id: 172705004
{'hecke_orbit_code': 22518479206745264, 'n': 5, 'trace_an': 0}
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id: 172705005
{'hecke_orbit_code': 22518479206745264, 'n': 6, 'trace_an': 0}
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id: 172705006
{'hecke_orbit_code': 22518479206745264, 'n': 7, 'trace_an': 0}
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id: 172705007
{'hecke_orbit_code': 22518479206745264, 'n': 8, 'trace_an': 0}
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id: 172705008
{'hecke_orbit_code': 22518479206745264, 'n': 9, 'trace_an': -6}
-
id: 172705009
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id: 172705995
{'hecke_orbit_code': 22518479206745264, 'n': 996, 'trace_an': 0}
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id: 172705996
{'hecke_orbit_code': 22518479206745264, 'n': 997, 'trace_an': 20}
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id: 172705997
{'hecke_orbit_code': 22518479206745264, 'n': 998, 'trace_an': 0}
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id: 172705998
{'hecke_orbit_code': 22518479206745264, 'n': 999, 'trace_an': 0}
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id: 172705999
{'hecke_orbit_code': 22518479206745264, 'n': 1000, 'trace_an': 0}