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mf_newforms • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [784, 4, [687, 197, 689], [4, 1, 4]], 'cm_discs': [], 'conrey_index': 197, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -2, 2, 2, 1]], [5, [9, 18, 18, 6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511623549387536, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '784.2.m.d', 'level': 784, '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': [2, 7], 'level_radical': 14, 'minimal_twist': '112.2.w.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\beta_{3}-\\beta_{2})q^{2}+\\beta_{3} q^{3}+(-\\beta_{3}-\\beta_1)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '784.2.m', 'trace_display': [-2, -2, -6, 0], 'trace_hash': 550518317822635636, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '59.673', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1400.691', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.258', 'prec': 17}, 'traces': [4, -2, -2, 0, -6, 2, 0, -8, 0, 6, 2, -4, -8, 0, 12, 8, -12, 8, 2, -12, 0, -18, 0, 0, 0, 8, -2, 0, -8, -18, -8, 8, -20, -6, 0, 4, -14, -2, 0, 24, 0, 0, 12, 20, 0, -14, -24, 8, 0, -16, -6, 20, -22, 18, 0, 0, 0, 8, 2, 24, -10, -2, 0, 0, 12, 22, 18, 24, -10, 0, 0, -8, 0, 30, -20, 16, 0, 8, -32, -24, 8, -20, -20, 0, 6, 24, 0, -8, 0, 0, 0, -4, -2, 18, -24, -8, -16, 0, 16, 4, -38, 6, 0, 0, 0, 18, -6, -20, -18, 18, 44, 0, 8, -2, 6, -4, -20, 54, 0, -24, 0, 10, -28, 12, -6, 0, 24, -16, 12, 0, -2, -24, 0, -18, 0, 24, 0, 6, 20, 0, 18, 4, 28, -24, 36, -22, 0, -44, -2, 24, 0, 0, 0, 0, 6, 4, -50, -14, 40, 24, 0, -34, 18, 8, 42, 20, 0, 0, 0, 18, -16, -12, -10, 8, 0, 40, 52, -18, -2, -12, -12, 0, 0, 8, 0, 2, 30, -12, 0, 42, 0, 16, -92, 32, 0, 0, -32, -16, 0, -8, 0, -30, 0, 12, 36, -18, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 1], [0, 0, 0, 1], [0, -1, 0, -1], [-2, 1, -2, 0], [0, 0, -1, -1], [0, 0, 0, 0], [-2, 0, 2, 0], [-1, 1, 1, -1], [2, -2, 3, -1], [2, -3, 2, 0], [0, -1, 2, 1], [-3, 0, 3, -2], [0, 0, 0, 0], [3, -2, 2, -2], [0, 2, 0, -2], [-3, -2, 2, -2], [2, 1, 0, 1], [-1, 0, 1, -3], [-4, 3, -2, 1], [0, 0, 0, 0], [-6, 2, -1, -1], [2, -2, -1, 2], [-2, 2, -2, -2], [3, -3, 1, 3], [0, 3, 2, -1], [-2, 3, -2, 0], [0, 0, 0, 0], [-1, 0, 1, 2], [-4, 2, -1, 3], [-2, -1, 1, -1], [4, 0, 0, 4], [-5, 2, -2, 2], [-4, 2, 5, -3], [0, 0, 0, 0], [2, 0, -4, 2], [-6, 5, -6, 0], [0, 1, 3, 2], [-1, 1, 1, -1], [6, -2, 2, -2], [4, -4, 2, 4], [0, 0, 0, 0], [1, 4, 1, 0], [4, -1, 6, -3], [1, 0, -1, 2], [-4, -1, -1, -2], [-6, 1, -1, 1], [4, -2, 4, 2], [0, 0, 0, 0], [-6, 1, -4, -3], [-2, 0, 2, -1], [6, 2, -4, 4], [-7, 3, -7, 0], [6, -2, 1, 1], [-5, 5, -6, -5], [0, 0, 0, 0], [2, -2, 5, 2], [0, 1, -2, -3], [-4, 9, -4, 0], [4, -1, 0, -5], [-4, 0, 4, -3], [-2, 1, 3, -2], [0, 0, 0, 0], [0, 0, -8, 0], [3, 1, 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[-16, 16, -10, -16], [31, -14, 31, 0], [1, -1, -12, 1], [25, -11, 25, 0], [-24, -5, 5, -5], [22, 0, -22, 1], [-50, 0, 0, 0], [-5, 0, 5, 0], [4, -4, -39, 4], [10, 7, 10, 0], [-10, 10, -10, 10], [-10, 10, 1, -10], [-5, -26, 26, -26], [-4, 4, -36, -4], [-11, 0, 11, -17], [3, 0, -3, -19], [-2, 2, -20, -2], [-14, 14, 36, -14], [-37, -1, -37, 0], [-31, 8, -8, 8], [12, -12, 1, 12], [-24, 9, -9, 9], [3, -3, 3, 0]], 'char_orbit_index': 13, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 13511623549387536, 'hecke_ring_character_values': [[687, [1, 0, 0, 0]], [197, [0, 0, 1, 0]], [689, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 1], [0, 1, 0, -1], [0, 0, 1, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 1, 0], [0, 0, 0, 1], [0, 1, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '784.2.m.d', 'level': 784, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [784, 4, [687, 197, 689], [4, 1, 4]], 'conrey_index': 197, 'cusp_dim': 208, 'dim': 154, 'eis_dim': 32, 'eis_new_dim': 20, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 824667276048, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 8, 12, 20, 24, 24, 48], 'label': '784.2.m', 'level': 784, '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': [2, 7], 'level_radical': 14, 'mf_dim': 240, 'mf_new_dim': 174, 'num_forms': 12, 'prim_orbit_index': 5, 'relative_dim': 77, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [2, 2, 2, 0], 'traces': [154, 2, 2, 0, 2, 8, 0, -16, 0, -8, -2, 0, 2, 0, -12, 16, 4, 22, 10, 24, 0, -28, 0, 24, 0, 8, -16, 0, -18, 48, 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mf_twists_nf • Show schema
Hide schema
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id: 498706
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '112.2.w.a', 'target_level': 112, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 498707
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '112.2.w.a', 'target_level': 112, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 498708
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.w.b', 'target_level': 112, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 498709
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.w.b', 'target_level': 112, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 498710
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.ba.a', 'target_level': 448, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 498711
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.ba.a', 'target_level': 448, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 498712
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.2.ba.b', 'target_level': 448, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 498713
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.2.ba.b', 'target_level': 448, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 498714
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.m.d', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 498715
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.m.d', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 498716
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.m.e', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 498717
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.m.e', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 498718
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.x.a', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 498719
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.x.a', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 498720
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.x.h', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 498721
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.x.h', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 498722
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '896.2.ba.a', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 498723
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '896.2.ba.a', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 498724
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '896.2.ba.b', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 498725
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '896.2.ba.b', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 498726
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '896.2.ba.c', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 498727
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '896.2.ba.c', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 498728
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '896.2.ba.d', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 498729
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.m.d', 'source_level': 784, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '896.2.ba.d', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1325775
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 2}
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id: 1325776
{'charpoly_factorization': [[[1, -2, 2, 2, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 3}
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id: 1325777
{'charpoly_factorization': [[[9, 18, 18, 6, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 5}
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id: 1325778
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511623549387536, 'p': 7}
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id: 1325779
{'charpoly_factorization': [[[169, 26, 2, -2, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 11}
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id: 1325780
{'charpoly_factorization': [[[4, 16, 32, 8, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 13}
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id: 1325781
{'charpoly_factorization': [[[-3, 6, 1], 2]], 'hecke_orbit_code': 13511623549387536, 'p': 17}
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id: 1325782
{'charpoly_factorization': [[[169, 26, 2, -2, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 19}
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id: 1325783
{'charpoly_factorization': [[[121, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 23}
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id: 1325784
{'charpoly_factorization': [[[4, 16, 32, 8, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 29}
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id: 1325785
{'charpoly_factorization': [[[1, 4, 1], 2]], 'hecke_orbit_code': 13511623549387536, 'p': 31}
-
id: 1325786
{'charpoly_factorization': [[[169, -182, 98, 14, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 37}
-
id: 1325787
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 41}
-
id: 1325788
{'charpoly_factorization': [[[36, 72, 72, -12, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 43}
-
id: 1325789
{'charpoly_factorization': [[[33, 12, 1], 2]], 'hecke_orbit_code': 13511623549387536, 'p': 47}
-
id: 1325790
{'charpoly_factorization': [[[2209, 1034, 242, 22, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 53}
-
id: 1325791
{'charpoly_factorization': [[[14641, 242, 2, -2, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 59}
-
id: 1325792
{'charpoly_factorization': [[[1, -10, 50, 10, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 61}
-
id: 1325793
{'charpoly_factorization': [[[1521, -702, 162, -18, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 67}
-
id: 1325794
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 71}
-
id: 1325795
{'charpoly_factorization': [[[529, 0, 62, 0, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 73}
-
id: 1325796
{'charpoly_factorization': [[[-11, 16, 1], 2]], 'hecke_orbit_code': 13511623549387536, 'p': 79}
-
id: 1325797
{'charpoly_factorization': [[[676, 520, 200, 20, 1], 1]], 'hecke_orbit_code': 13511623549387536, 'p': 83}
-
id: 1325798
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 13511623549387536, 'p': 89}
-
id: 1325799
{'charpoly_factorization': [[[-32, 8, 1], 2]], 'hecke_orbit_code': 13511623549387536, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 4, 'label': '784.2.m.d', 'level': 784, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 37242277
{'hecke_orbit_code': 13511623549387536, 'n': 1, 'trace_an': 4}
-
id: 37242278
{'hecke_orbit_code': 13511623549387536, 'n': 2, 'trace_an': -2}
-
id: 37242279
{'hecke_orbit_code': 13511623549387536, 'n': 3, 'trace_an': -2}
-
id: 37242280
{'hecke_orbit_code': 13511623549387536, 'n': 4, 'trace_an': 0}
-
id: 37242281
{'hecke_orbit_code': 13511623549387536, 'n': 5, 'trace_an': -6}
-
id: 37242282
{'hecke_orbit_code': 13511623549387536, 'n': 6, 'trace_an': 2}
-
id: 37242283
{'hecke_orbit_code': 13511623549387536, 'n': 7, 'trace_an': 0}
-
id: 37242284
{'hecke_orbit_code': 13511623549387536, 'n': 8, 'trace_an': -8}
-
id: 37242285
{'hecke_orbit_code': 13511623549387536, 'n': 9, 'trace_an': 0}
-
id: 37242286
{'hecke_orbit_code': 13511623549387536, 'n': 10, 'trace_an': 6}
-
id: 37242287
{'hecke_orbit_code': 13511623549387536, 'n': 11, 'trace_an': 2}
-
id: 37242288
{'hecke_orbit_code': 13511623549387536, 'n': 12, 'trace_an': -4}
-
id: 37242289
{'hecke_orbit_code': 13511623549387536, 'n': 13, 'trace_an': -8}
-
id: 37242290
{'hecke_orbit_code': 13511623549387536, 'n': 14, 'trace_an': 0}
-
id: 37242291
{'hecke_orbit_code': 13511623549387536, 'n': 15, 'trace_an': 12}
-
id: 37242292
{'hecke_orbit_code': 13511623549387536, 'n': 16, 'trace_an': 8}
-
id: 37242293
{'hecke_orbit_code': 13511623549387536, 'n': 17, 'trace_an': -12}
-
id: 37242294
{'hecke_orbit_code': 13511623549387536, 'n': 18, 'trace_an': 8}
-
id: 37242295
{'hecke_orbit_code': 13511623549387536, 'n': 19, 'trace_an': 2}
-
id: 37242296
{'hecke_orbit_code': 13511623549387536, 'n': 20, 'trace_an': -12}
-
id: 37242297
{'hecke_orbit_code': 13511623549387536, 'n': 21, 'trace_an': 0}
-
id: 37242298
{'hecke_orbit_code': 13511623549387536, 'n': 22, 'trace_an': -18}
-
id: 37242299
{'hecke_orbit_code': 13511623549387536, 'n': 23, 'trace_an': 0}
-
id: 37242300
{'hecke_orbit_code': 13511623549387536, 'n': 24, 'trace_an': 0}
-
id: 37242301
{'hecke_orbit_code': 13511623549387536, 'n': 25, 'trace_an': 0}
-
id: 37242302
{'hecke_orbit_code': 13511623549387536, 'n': 26, 'trace_an': 8}
-
id: 37242303
{'hecke_orbit_code': 13511623549387536, 'n': 27, 'trace_an': -2}
-
id: 37242304
{'hecke_orbit_code': 13511623549387536, 'n': 28, 'trace_an': 0}
-
id: 37242305
{'hecke_orbit_code': 13511623549387536, 'n': 29, 'trace_an': -8}
-
id: 37242306
{'hecke_orbit_code': 13511623549387536, 'n': 30, 'trace_an': -18}
-
id: 37242307
{'hecke_orbit_code': 13511623549387536, 'n': 31, 'trace_an': -8}
-
id: 37242308
{'hecke_orbit_code': 13511623549387536, 'n': 32, 'trace_an': 8}
-
id: 37242309
{'hecke_orbit_code': 13511623549387536, 'n': 33, 'trace_an': -20}
-
id: 37242310
{'hecke_orbit_code': 13511623549387536, 'n': 34, 'trace_an': -6}
-
id: 37242311
{'hecke_orbit_code': 13511623549387536, 'n': 35, 'trace_an': 0}
-
id: 37242312
{'hecke_orbit_code': 13511623549387536, 'n': 36, 'trace_an': 4}
-
id: 37242313
{'hecke_orbit_code': 13511623549387536, 'n': 37, 'trace_an': -14}
-
id: 37242314
{'hecke_orbit_code': 13511623549387536, 'n': 38, 'trace_an': -2}
-
id: 37242315
{'hecke_orbit_code': 13511623549387536, 'n': 39, 'trace_an': 0}
-
id: 37242316
{'hecke_orbit_code': 13511623549387536, 'n': 40, 'trace_an': 24}
-
id: 37242317
{'hecke_orbit_code': 13511623549387536, 'n': 41, 'trace_an': 0}
-
id: 37242318
{'hecke_orbit_code': 13511623549387536, 'n': 42, 'trace_an': 0}
-
id: 37242319
{'hecke_orbit_code': 13511623549387536, 'n': 43, 'trace_an': 12}
-
id: 37242320
{'hecke_orbit_code': 13511623549387536, 'n': 44, 'trace_an': 20}
-
id: 37242321
{'hecke_orbit_code': 13511623549387536, 'n': 45, 'trace_an': 0}
-
id: 37242322
{'hecke_orbit_code': 13511623549387536, 'n': 46, 'trace_an': -14}
-
id: 37242323
{'hecke_orbit_code': 13511623549387536, 'n': 47, 'trace_an': -24}
-
id: 37242324
{'hecke_orbit_code': 13511623549387536, 'n': 48, 'trace_an': 8}
-
id: 37242325
{'hecke_orbit_code': 13511623549387536, 'n': 49, 'trace_an': 0}
-
id: 37242326
{'hecke_orbit_code': 13511623549387536, 'n': 50, 'trace_an': -16}
-
id: 37242327
{'hecke_orbit_code': 13511623549387536, 'n': 51, 'trace_an': -6}
-
id: 37242328
{'hecke_orbit_code': 13511623549387536, 'n': 52, 'trace_an': 20}
-
id: 37242329
{'hecke_orbit_code': 13511623549387536, 'n': 53, 'trace_an': -22}
-
id: 37242330
{'hecke_orbit_code': 13511623549387536, 'n': 54, 'trace_an': 18}
-
id: 37242331
{'hecke_orbit_code': 13511623549387536, 'n': 55, 'trace_an': 0}
-
id: 37242332
{'hecke_orbit_code': 13511623549387536, 'n': 56, 'trace_an': 0}
-
id: 37242333
{'hecke_orbit_code': 13511623549387536, 'n': 57, 'trace_an': 0}
-
id: 37242334
{'hecke_orbit_code': 13511623549387536, 'n': 58, 'trace_an': 8}
-
id: 37242335
{'hecke_orbit_code': 13511623549387536, 'n': 59, 'trace_an': 2}
-
id: 37242336
{'hecke_orbit_code': 13511623549387536, 'n': 60, 'trace_an': 24}
-
id: 37242337
{'hecke_orbit_code': 13511623549387536, 'n': 61, 'trace_an': -10}
-
id: 37242338
{'hecke_orbit_code': 13511623549387536, 'n': 62, 'trace_an': -2}
-
id: 37242339
{'hecke_orbit_code': 13511623549387536, 'n': 63, 'trace_an': 0}
-
id: 37242340
{'hecke_orbit_code': 13511623549387536, 'n': 64, 'trace_an': 0}
-
id: 37242341
{'hecke_orbit_code': 13511623549387536, 'n': 65, 'trace_an': 12}
-
id: 37242342
{'hecke_orbit_code': 13511623549387536, 'n': 66, 'trace_an': 22}
-
id: 37242343
{'hecke_orbit_code': 13511623549387536, 'n': 67, 'trace_an': 18}
-
id: 37242344
{'hecke_orbit_code': 13511623549387536, 'n': 68, 'trace_an': 24}
-
id: 37242345
{'hecke_orbit_code': 13511623549387536, 'n': 69, 'trace_an': -10}
-
id: 37242346
{'hecke_orbit_code': 13511623549387536, 'n': 70, 'trace_an': 0}
-
id: 37242347
{'hecke_orbit_code': 13511623549387536, 'n': 71, 'trace_an': 0}
-
id: 37242348
{'hecke_orbit_code': 13511623549387536, 'n': 72, 'trace_an': -8}
-
id: 37242349
{'hecke_orbit_code': 13511623549387536, 'n': 73, 'trace_an': 0}
-
id: 37242350
{'hecke_orbit_code': 13511623549387536, 'n': 74, 'trace_an': 30}
-
id: 37242351
{'hecke_orbit_code': 13511623549387536, 'n': 75, 'trace_an': -20}
-
id: 37242352
{'hecke_orbit_code': 13511623549387536, 'n': 76, 'trace_an': 16}
-
id: 37242353
{'hecke_orbit_code': 13511623549387536, 'n': 77, 'trace_an': 0}
-
id: 37242354
{'hecke_orbit_code': 13511623549387536, 'n': 78, 'trace_an': 8}
-
id: 37242355
{'hecke_orbit_code': 13511623549387536, 'n': 79, 'trace_an': -32}
-
id: 37242356
{'hecke_orbit_code': 13511623549387536, 'n': 80, 'trace_an': -24}
-
id: 37242357
{'hecke_orbit_code': 13511623549387536, 'n': 81, 'trace_an': 8}
-
id: 37242358
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