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mf_newforms • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 112, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 24, 'char_orbit_label': 'x', 'char_order': 12, 'char_parity': 1, 'char_values': [784, 12, [687, 197, 689], [12, 3, 8]], 'cm_discs': [], 'conrey_index': 165, 'conrey_indexes': [165, 373, 557, 765], '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, [0, 1]], [5, [64, 32, 8, 4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512379463631632, 'hecke_ring_generator_nbound': 9, '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, 3, 1, 3, 0], [1, 1, 16, 5, 1, 4, 0], [1, 1, 112, 23, 1, 12, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '784.2.x.d', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '112.2.m.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 23, 'qexp_display': 'q+(1-\\zeta_{12}-\\zeta_{12}^{2})q^{2}+(-2\\zeta_{12}+2\\zeta_{12}^{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '784.2.x', 'trace_display': [2, 0, -4, 0], 'trace_hash': 730329936277924983, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.764', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.338', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [1, -1, -1, 0], [0, 0, 0, 0], [0, -2, 0, 2], [-2, -2, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 2], [0, -3, 0, 0], [0, 0, 4, 0], [0, 1, -1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, -4, 0], [0, 0, 2, 0], [0, -3, 3, 3], [-2, 2, 2, 0], [4, 0, 0, -4], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [0, 3, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, 0, 0, -7], [0, 0, 0, 0], [0, 0, 8, 0], [0, -4, -4, 4], [0, 0, 0, 0], [2, 0, 0, -2], [0, 0, 0, 0], [6, 0, 0, 0], [5, 5, -5, 0], [0, 4, 0, -4], [0, 0, 0, 0], [0, -8, 0, 0], [0, 0, 0, 10], [0, 0, 0, 0], [-1, 0, 0, -1], [-2, 2, 2, 0], [0, 6, 6, -6], [0, 6, -6, -6], [12, 0, -12, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 0, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 1, 1], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 0, 0, 0], [0, -14, 0, 0], [0, 8, -8, -8], [0, 0, 0, 0], [-6, 6, 6, 0], [8, 0, 0, -8], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, -3, 3], [0, -4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, -6, -6, 0], [0, -6, 0, 6], [0, 0, -10, 0], [0, 0, 0, 0], [-4, 0, 0, -4], [0, 0, 0, 0], [0, 0, 0, 0], [-10, 0, 10, 0], [0, -8, 8, 8], [0, 0, 9, 0], [10, 10, -10, 0], [-10, 0, 0, 10], [0, 0, 0, 0], [-4, 0, 0, -4], [-2, 0, 2, 0], [0, 0, 0, 0], [0, 4, 0, -4], [0, 14, 0, 0], [0, 0, 0, -12], [0, 0, 0, 0], [-12, 0, 0, 0], [0, 0, 0, 0], [0, -12, -12, 12], [0, 0, -8, 0], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [-3, 0, 0, 3], [-6, 0, 6, 0]], 'ap': [[1, -1, -1, 0], [0, 0, 0, 0], [-2, -2, 2, 0], [0, 0, 0, 0], [0, 1, -1, -1], [0, 0, 0, 0], [0, 0, 2, 0], [-2, 2, 2, 0], [0, 6, 0, 0], [7, 0, 0, -7], [0, 0, 8, 0], [5, 5, -5, 0], [0, 0, 0, 10], [-1, 0, 0, -1], [12, 0, -12, 0], [0, -1, 1, 1], [0, 8, -8, -8], [-6, 6, 6, 0], [0, -3, -3, 3], [0, 0, 0, 0], [0, -6, 0, 6], [-10, 0, 10, 0], [-10, 0, 0, 10], [0, 14, 0, 0], [-2, 0, 0, 0], [0, 6, -6, -6], [0, -4, 0, 0], [-5, -5, 5, 0], [0, 3, 3, -3], [4, 0, 0, 0], [8, 0, 0, 0], [14, -14, -14, 0], [0, 12, 0, -12], [-2, 0, 0, -2], [-3, -3, 3, 0], [0, 10, 0, -10], [0, 12, 12, -12], [-15, 15, 15, 0], [0, 0, 0, 12], [0, 0, 0, 0], [0, 3, 3, -3], [-4, 0, 0, -4], [18, 0, -18, 0], [0, 0, 16, 0], [5, 0, 0, 5], [0, -24, 0, 24], [-9, 0, 0, 9], [4, 0, 0, 0], [0, 2, 2, -2], [-8, -8, 8, 0], [0, 16, 0, 0], [0, 0, 0, 0], [0, 0, -22, 0], [-14, 0, 0, -14], [2, 0, -2, 0], [0, -16, 0, 16], [0, 8, 8, -8], [8, 0, -8, 0], [0, -15, 15, 15], [0, 0, 0, 0], [0, 4, -4, -4], [14, 0, 0, 14], [18, 0, 0, -18], [0, 20, 0, -20], [0, -14, 0, 0], [7, -7, -7, 0], [-21, -21, 21, 0], [8, 0, 0, 0], [0, 15, -15, -15], [12, 0, 0, -12], [0, 0, 6, 0], [0, -6, 0, 0], [0, 0, 32, 0], [11, 11, -11, 0], [13, 0, 0, 13], [-4, 0, 4, 0], [0, 3, -3, -3], [12, -12, -12, 0], [-12, 0, 12, 0], [0, -14, 0, 14], [12, 0, 0, -12], [-9, 0, 0, -9], [0, 0, 8, 0], [-6, 0, 0, 0], [0, -16, 0, 0], [1, 1, -1, 0], [-30, 0, 0, 0], [0, -22, 0, 0], [16, 0, 0, -16], [14, 0, 0, 0], [-18, 18, 18, 0], [0, 0, 20, 0], [0, 22, 0, -22], [-19, 0, 0, -19], [23, -23, -23, 0], [0, 0, 0, -16], [8, -8, -8, 0], [0, -10, 0, 10], [-24, -24, 24, 0], [-11, 11, 11, 0], [23, 0, 0, -23], [0, 17, 17, -17], [0, -20, -20, 20], [0, 14, 0, 0], [0, -9, 9, 9], [0, 0, 2, 0], [10, 0, 0, 10], [6, 0, -6, 0], [0, -24, 0, 24], [0, 0, 0, 10], [-28, 0, 28, 0], [0, 9, -9, -9], [0, 0, 0, 42], [0, -12, 12, 12], [0, 0, 0, -40], [0, 0, -12, 0], [0, 0, 0, 0], [0, 12, 0, -12], [-25, 25, 25, 0], [-3, 0, 0, 3], [0, 26, -26, -26], [34, 0, 0, 0], [20, 20, -20, 0], [0, -11, 11, 11], [-26, 26, 26, 0], [-19, 0, 0, 19], [7, 7, -7, 0], [-20, 0, 20, 0], [0, 0, 0, 32], [10, -10, -10, 0], [0, -7, -7, 7], [0, 0, 0, -6], [-32, 0, 32, 0], [-15, 0, 0, -15], [0, 30, 0, 0], [-10, 0, 0, 0], [0, -6, 6, 6], [0, -18, -18, 18], [-32, 0, 0, 32], [0, 6, 0, -6], [-24, 0, 0, -24], [-1, -1, 1, 0], [0, 24, 0, -24], [-5, 0, 0, -5], [0, -2, -2, 2], [0, 0, 0, -4], [24, 0, 0, 24], [0, -18, 0, 18], [2, 2, -2, 0], [-14, 0, 14, 0], [-3, 3, 3, 0], [-18, 0, 0, 0], [-25, 0, 0, 25], [0, -12, 0, 0], [0, 15, -15, -15], [-48, 0, 0, 0], [0, 24, 0, 0], [50, 0, -50, 0], [0, 0, 0, -58], [0, -26, -26, 26], [-33, 33, 33, 0], [0, 0, 0, -16], [0, 0, 0, 2], [4, 4, -4, 0], [0, 0, -38, 0], [0, 44, 0, -44], [0, 0, -22, 0], [0, -30, 30, 30]], 'char_orbit_index': 24, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 13512379463631632, 'hecke_ring_character_values': [[687, [1, 0, 0, 0]], [197, [0, 0, 0, 1]], [689, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '784.2.x.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': 112, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 24, 'char_orbit_label': 'x', 'char_order': 12, 'char_parity': 1, 'char_values': [784, 12, [687, 197, 689], [12, 3, 8]], 'conrey_index': 165, 'cusp_dim': 416, 'dim': 304, 'eis_dim': 64, 'eis_new_dim': 32, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 1580581520144, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 8, 16, 16, 24, 24, 40, 48, 96], 'label': '784.2.x', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 480, 'mf_new_dim': 336, 'num_forms': 16, 'prim_orbit_index': 23, 'relative_dim': 76, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [2, 2, 2, 0], 'traces': [304, 2, 2, 6, 2, 8, 0, -4, 0, -4, 10, 2, 8, 0, -32, -18, 4, -44, 2, -8, 0, 16, 0, -18, 0, 2, 20, 0, -48, -34, -20, -8, 4, 32, 0, 80, 18, -18, 0, -50, 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-132, 0, 0, 468, -502, 266, 400, 112, 104, 0, -336, 50, -16, -184, -68, 0, 0, 0, 588, -150, -340, 4, 80, 0, -648, 92, 262, -480, -48, 84, 0, 0, -242, 0, -514, 118, 8, 0, -240, -840, 76, 4, 140, -620, 0, -352, -40, 0, -12, 0, 12, 0, 0, -140, 102, 188, 0, -176, 0, -908, 132, 82, -46, 0, 348], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 499444
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.m.b', 'target_level': 112, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 499445
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.m.b', 'target_level': 112, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499446
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.m.a', 'target_level': 448, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 499447
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.m.a', 'target_level': 448, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '112.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 499448
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.m.a', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499449
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.m.a', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 499450
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.x.d', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 499451
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.x.d', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 499452
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.x.d', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 499453
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.x.d', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499454
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.x.e', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 499455
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.x.e', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499456
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.x.e', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 499457
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.x.e', 'target_level': 784, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 499458
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '896.2.m.b', 'target_level': 896, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 499459
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '896.2.m.b', 'target_level': 896, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499460
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '896.2.m.c', 'target_level': 896, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 499461
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '896.2.m.c', 'target_level': 896, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '112.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 499462
{'conductor': 224, 'degree': 8, 'multiplicity': 2, 'order': 24, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7168.2.a.b', 'target_level': 7168, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '224.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 499463
{'conductor': 224, 'degree': 8, 'multiplicity': 2, 'order': 24, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '784.2.x.d', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '7168.2.a.k', 'target_level': 7168, 'twist_class_label': '112.2.m.b', 'twist_class_level': 112, 'twisting_char_label': '224.bf', 'twisting_char_orbit': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1326475
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 2}
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id: 1326476
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13512379463631632, 'p': 3}
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id: 1326477
{'charpoly_factorization': [[[64, 32, 8, 4, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 5}
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id: 1326478
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13512379463631632, 'p': 7}
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id: 1326479
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 11}
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id: 1326480
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13512379463631632, 'p': 13}
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id: 1326481
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 13512379463631632, 'p': 17}
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id: 1326482
{'charpoly_factorization': [[[64, 32, 8, 4, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 19}
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id: 1326483
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 23}
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id: 1326484
{'charpoly_factorization': [[[98, -14, 1], 2]], 'hecke_orbit_code': 13512379463631632, 'p': 29}
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id: 1326485
{'charpoly_factorization': [[[64, -8, 1], 2]], 'hecke_orbit_code': 13512379463631632, 'p': 31}
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id: 1326486
{'charpoly_factorization': [[[2500, -500, 50, -10, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 37}
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id: 1326487
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 13512379463631632, 'p': 41}
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id: 1326488
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 13512379463631632, 'p': 43}
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id: 1326489
{'charpoly_factorization': [[[144, -12, 1], 2]], 'hecke_orbit_code': 13512379463631632, 'p': 47}
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id: 1326490
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 53}
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id: 1326491
{'charpoly_factorization': [[[16384, 2048, 128, 16, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 59}
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id: 1326492
{'charpoly_factorization': [[[5184, 864, 72, 12, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 61}
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id: 1326493
{'charpoly_factorization': [[[324, 108, 18, 6, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 67}
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id: 1326494
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13512379463631632, 'p': 71}
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id: 1326495
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 73}
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id: 1326496
{'charpoly_factorization': [[[100, 10, 1], 2]], 'hecke_orbit_code': 13512379463631632, 'p': 79}
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id: 1326497
{'charpoly_factorization': [[[200, 20, 1], 2]], 'hecke_orbit_code': 13512379463631632, 'p': 83}
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id: 1326498
{'charpoly_factorization': [[[38416, 0, -196, 0, 1], 1]], 'hecke_orbit_code': 13512379463631632, 'p': 89}
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id: 1326499
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 13512379463631632, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 24, 'hecke_orbit': 4, 'label': '784.2.x.d', 'level': 784, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 145674000
{'hecke_orbit_code': 13512379463631632, 'n': 1, 'trace_an': 4}
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id: 145674001
{'hecke_orbit_code': 13512379463631632, 'n': 2, 'trace_an': 2}
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id: 145674002
{'hecke_orbit_code': 13512379463631632, 'n': 3, 'trace_an': 0}
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id: 145674003
{'hecke_orbit_code': 13512379463631632, 'n': 4, 'trace_an': 0}
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id: 145674004
{'hecke_orbit_code': 13512379463631632, 'n': 5, 'trace_an': -4}
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id: 145674005
{'hecke_orbit_code': 13512379463631632, 'n': 6, 'trace_an': 0}
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id: 145674006
{'hecke_orbit_code': 13512379463631632, 'n': 7, 'trace_an': 0}
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id: 145674007
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{'hecke_orbit_code': 13512379463631632, 'n': 1000, 'trace_an': 64}