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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, [1, 4, 5, 2, 1]], [5, [9, -18, 9, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526777973113616, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [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.h', '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.w.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 23, 'qexp_display': 'q+(1+\\zeta_{12}^{3})q^{2}+(-1+\\zeta_{12}^{2}-\\zeta_{12}^{3})q^{3}+\\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': [4, -2, 0, 0], 'trace_hash': 934773493926227009, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.047', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.869', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '45.684', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0], [1, 0, 0, 1], [-1, 0, 1, -1], [0, 0, 0, 2], [1, 1, -2, 1], [0, -1, 1, -1], [0, 0, 0, 0], [-2, 0, 0, 2], [-1, -1, -1, 0], [-1, 3, -1, 0], [-3, 2, 1, 1], [2, -2, 0, 0], [-3, -2, 2, 3], [0, 0, 0, 0], [3, -4, 0, 2], [-4, 0, 0, 0], [0, 2, 3, 2], [0, 0, -2, -2], [-2, 2, -1, -3], [-4, 4, 2, -2], [0, 0, 0, 0], [-6, 1, 3, -1], [2, 1, 2, 0], [4, -2, -2, 2], [-6, 1, 3, -1], [-4, -4, 0, 2], [-2, 3, 3, -2], [0, 0, 0, 0], [-1, 2, -2, 1], [5, -4, -4, 5], [0, 1, 2, 1], [-4, 0, 0, -4], [5, -2, -5, 4], [-4, -1, 5, 5], [0, 0, 0, 0], [2, 2, -2, -4], [1, 1, -6, 5], [-1, 3, 1, -6], [2, 1, -1, -1], [-6, 2, 6, -4], [4, 0, -8, 2], [0, 0, 0, 0], [1, 4, 4, 1], [-6, -2, 4, -4], [-2, -1, 1, -1], [1, -1, 3, 4], [6, -1, -6, 2], [4, 0, -4, 4], [0, 0, 0, 0], [-6, -2, 4, -4], [1, -1, -2, -1], [-2, -4, -4, -2], [3, -7, 4, 4], [-3, 0, 6, -1], [-5, 0, 10, -6], [0, 0, 0, 0], [2, 0, -4, 5], [-4, 4, 0, -2], [9, -4, -5, -5], [4, 0, -8, 6], [1, -1, -4, -3], [-2, -1, 3, 3], [0, 0, 0, 0], [0, 0, 0, -8], [-3, -1, 3, 2], [3, 3, -7, 4], [1, -4, -5, 5], [-8, -6, 4, 6], [-3, 1, 1, -3], [0, 0, 0, 0], [-2, 0, 4, -4], [4, 4, 0, -4], [-6, -2, 3, 2], [-5, 7, -5, 0], [3, 3, -7, 4], [2, 2, 4, -6], [0, 0, 0, 0], [2, 2, 0, 0], [8, 5, -8, -10], [-4, -4, 8, -4], [0, 5, -2, 5], [2, 8, -8, -2], [-3, 4, -4, 3], [0, 0, 0, 0], [0, 3, 3, 0], [-4, 0, 8, 6], [6, -5, -3, 5], [0, -6, 2, -6], [3, 0, 3, 0], [0, -2, 0, -2], [0, 0, 0, 0], [-2, -4, 2, 8], [0, 0, -1, -1], [5, 5, -7, 2], [0, -5, 6, -5], [0, 4, -4, 4], [-4, 8, 0, -4], [0, 0, 0, 0], [5, 2, -2, -5], [0, -6, 2, -6]], 'ap': [[1, 0, 0, 1], [-1, 0, 1, -1], [1, 1, -2, 1], [0, 0, 0, 0], [-3, 2, 1, 1], [-3, -2, 2, 3], [0, 2, 3, 2], [-2, 2, -1, -3], [2, 1, 2, 0], [-1, 2, -2, 1], [0, 1, 2, 1], [1, 1, -6, 5], [4, 0, -8, 2], [1, 4, 4, 1], [6, -1, -6, 2], [3, -7, 4, 4], [9, -4, -5, -5], [1, -1, -4, -3], [1, -4, -5, 5], [-2, 0, 4, -4], [-6, -2, 3, 2], [8, 5, -8, -10], [-3, 4, -4, 3], [3, 0, 3, 0], [-4, 8, 0, -4], [-5, -7, 12, 12], [2, 3, 2, 0], [2, 2, -1, -1], [-7, 1, 8, -8], [2, -4, 0, 2], [6, 4, 0, -2], [4, -4, 3, 7], [18, 2, -9, -2], [1, 8, 8, 1], [-3, -3, -4, 7], [12, 1, -6, -1], [1, 13, 12, -12], [-2, 2, 7, 5], [8, 0, -16, -8], [3, -3, -2, 1], [7, 4, -3, 3], [3, -12, -12, 3], [0, -5, 0, 10], [0, 0, 23, 0], [-3, -10, -10, -3], [8, 5, -4, -5], [-13, -8, 8, 13], [4, -16, 0, 8], [5, -10, -15, 15], [-5, -5, -8, 13], [-3, 6, -3, 0], [-12, 4, 0, -2], [0, 4, 7, 4], [-7, 18, 18, -7], [-9, -6, 9, 12], [-12, 15, 6, -15], [5, -9, -14, 14], [0, 7, 0, -14], [-9, 9, 0, 0], [-4, 0, 8, -6], [-1, 12, -11, -11], [-3, 8, 8, -3], [-9, 0, 0, 9], [-4, -3, 2, 3], [9, 6, 9, 0], [9, -9, -10, -1], [-14, -14, 13, 1], [-20, 16, 0, -8], [-17, 6, 11, 11], [-1, -14, 14, 1], [0, -12, -7, -12], [-2, -1, -2, 0], [0, 7, -6, 7], [1, 1, -2, 1], [-19, 14, 14, -19], [-20, -3, 20, 6], [1, 15, -16, -16], [1, -1, -14, -13], [15, 0, -15, 0], [10, 0, -5, 0], [19, 0, 0, -19], [-5, 10, 10, -5], [0, -5, -22, -5], [2, 36, 0, -18], [2, -11, 2, 0], [-8, -8, 9, -1], [-6, -20, 0, 10], [-3, 24, -3, 0], [-15, -10, 10, 15], [16, -16, 0, 8], [-4, 4, 15, 11], [0, 9, 0, 9], [20, -5, -10, 5], [21, -18, -18, 21], [-6, 6, 15, 9], [8, 0, -16, -18], [11, -11, -8, 3], [34, -14, -17, 14], [24, 24, -25, 1], [11, -11, 2, 13], [-15, -22, 22, 15], [5, 3, -2, 2], [-17, 8, 25, -25], [7, -18, 7, 0], [-7, -10, 17, 17], [0, 14, -11, 14], [-11, -8, -8, -11], [-1, -6, 1, 12], [28, -5, -14, 5], [0, 0, 0, 10], [-2, 11, 2, -22], [13, -11, -2, -2], [-2, 0, 4, -4], [-19, 12, 7, 7], [14, 0, -28, -8], [0, -8, 25, -8], [1, 12, -12, -1], [-40, -1, 20, 1], [17, -17, -22, -5], [13, 16, -16, -13], [17, -7, -10, -10], [20, 24, 0, -12], [17, 17, 22, -39], [1, 32, -33, -33], [10, -10, -15, -5], [-9, -12, 12, 9], [25, 25, -2, -23], [16, -9, -16, 18], [10, 0, -20, -24], [21, -21, 12, 33], [-5, 30, 35, -35], [4, 0, -8, 18], [6, -11, -6, 22], [-5, -10, -10, -5], [-9, 2, -9, 0], [4, -16, 0, 8], [11, -7, -4, -4], [-1, 10, 11, -11], [17, -10, 10, -17], [-30, -8, 15, 8], [3, -20, -20, 3], [3, 3, -10, 7], [-28, 7, 14, -7], [29, -24, -24, 29], [-13, 7, 20, -20], [-16, 0, 32, -10], [31, -14, -14, 31], [-2, -12, 1, 12], [-14, -14, 25, -11], [24, 5, -24, -10], [-21, 21, 22, 1], [-50, 0, 0, 0], [-5, 0, 0, 5], [4, 39, 4, 0], [7, 10, -17, -17], [-10, 20, 0, -10], [-10, -1, -10, 0], [5, 26, -5, -52], [-4, 0, 8, -36], [17, 11, -6, 6], [-22, 22, 3, -19], [-2, 0, 4, -20], [-14, 0, 28, 36], [38, 38, -37, -1], [0, -8, 31, -8], [-24, 1, 12, -1], [0, -9, 24, -9], [-3, 3, 0, 0]], 'char_orbit_index': 24, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 31526777973113616, '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.h', '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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mf_twists_nf • Show schema
Hide schema
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id: 499548
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499549
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 499550
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 499551
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499552
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499553
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499554
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499555
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 499556
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 499557
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499558
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499559
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 499560
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499561
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 499562
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 499563
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499564
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499565
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 499566
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 499567
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499568
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 499569
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499570
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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: 499571
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.x.h', '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.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1326550
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 31526777973113616, 'p': 2}
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id: 1326551
{'charpoly_factorization': [[[1, 4, 5, 2, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 3}
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id: 1326552
{'charpoly_factorization': [[[9, -18, 9, 0, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 5}
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id: 1326553
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31526777973113616, 'p': 7}
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id: 1326554
{'charpoly_factorization': [[[169, 104, 41, 10, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 11}
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id: 1326555
{'charpoly_factorization': [[[4, 16, 32, 8, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 13}
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id: 1326556
{'charpoly_factorization': [[[9, 18, 39, -6, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 17}
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id: 1326557
{'charpoly_factorization': [[[169, 104, 41, 10, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 19}
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id: 1326558
{'charpoly_factorization': [[[121, -132, 59, -12, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 23}
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id: 1326559
{'charpoly_factorization': [[[4, 16, 32, 8, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 29}
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id: 1326560
{'charpoly_factorization': [[[1, -4, 15, -4, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 31}
-
id: 1326561
{'charpoly_factorization': [[[169, 286, 137, 8, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 37}
-
id: 1326562
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 41}
-
id: 1326563
{'charpoly_factorization': [[[36, 72, 72, -12, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 43}
-
id: 1326564
{'charpoly_factorization': [[[1089, -396, 111, -12, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 47}
-
id: 1326565
{'charpoly_factorization': [[[2209, -94, 101, -20, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 53}
-
id: 1326566
{'charpoly_factorization': [[[14641, -3388, 365, -26, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 59}
-
id: 1326567
{'charpoly_factorization': [[[1, 14, 53, 4, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 61}
-
id: 1326568
{'charpoly_factorization': [[[1521, 468, 45, 6, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 67}
-
id: 1326569
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 71}
-
id: 1326570
{'charpoly_factorization': [[[529, 414, 131, 18, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 73}
-
id: 1326571
{'charpoly_factorization': [[[121, 176, 267, -16, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 79}
-
id: 1326572
{'charpoly_factorization': [[[676, 520, 200, 20, 1], 1]], 'hecke_orbit_code': 31526777973113616, 'p': 83}
-
id: 1326573
{'charpoly_factorization': [[[27, -9, 1], 2]], 'hecke_orbit_code': 31526777973113616, 'p': 89}
-
id: 1326574
{'charpoly_factorization': [[[-32, 8, 1], 2]], 'hecke_orbit_code': 31526777973113616, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 24, 'hecke_orbit': 8, 'label': '784.2.x.h', 'level': 784, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 194728000
{'hecke_orbit_code': 31526777973113616, 'n': 1, 'trace_an': 4}
-
id: 194728001
{'hecke_orbit_code': 31526777973113616, 'n': 2, 'trace_an': 4}
-
id: 194728002
{'hecke_orbit_code': 31526777973113616, 'n': 3, 'trace_an': -2}
-
id: 194728003
{'hecke_orbit_code': 31526777973113616, 'n': 4, 'trace_an': 0}
-
id: 194728004
{'hecke_orbit_code': 31526777973113616, 'n': 5, 'trace_an': 0}
-
id: 194728005
{'hecke_orbit_code': 31526777973113616, 'n': 6, 'trace_an': 2}
-
id: 194728006
{'hecke_orbit_code': 31526777973113616, 'n': 7, 'trace_an': 0}
-
id: 194728007
{'hecke_orbit_code': 31526777973113616, 'n': 8, 'trace_an': -8}
-
id: 194728008
{'hecke_orbit_code': 31526777973113616, 'n': 9, 'trace_an': -6}
-
id: 194728009
{'hecke_orbit_code': 31526777973113616, 'n': 10, 'trace_an': -6}
-
id: 194728010
{'hecke_orbit_code': 31526777973113616, 'n': 11, 'trace_an': -10}
-
id: 194728011
{'hecke_orbit_code': 31526777973113616, 'n': 12, 'trace_an': 8}
-
id: 194728012
{'hecke_orbit_code': 31526777973113616, 'n': 13, 'trace_an': -8}
-
id: 194728013
{'hecke_orbit_code': 31526777973113616, 'n': 14, 'trace_an': 0}
-
id: 194728014
{'hecke_orbit_code': 31526777973113616, 'n': 15, 'trace_an': 12}
-
id: 194728015
{'hecke_orbit_code': 31526777973113616, 'n': 16, 'trace_an': -16}
-
id: 194728016
{'hecke_orbit_code': 31526777973113616, 'n': 17, 'trace_an': 6}
-
id: 194728017
{'hecke_orbit_code': 31526777973113616, 'n': 18, 'trace_an': -4}
-
id: 194728018
{'hecke_orbit_code': 31526777973113616, 'n': 19, 'trace_an': -10}
-
id: 194728019
{'hecke_orbit_code': 31526777973113616, 'n': 20, 'trace_an': -12}
-
id: 194728020
{'hecke_orbit_code': 31526777973113616, 'n': 21, 'trace_an': 0}
-
id: 194728021
{'hecke_orbit_code': 31526777973113616, 'n': 22, 'trace_an': -18}
-
id: 194728022
{'hecke_orbit_code': 31526777973113616, 'n': 23, 'trace_an': 12}
-
id: 194728023
{'hecke_orbit_code': 31526777973113616, 'n': 24, 'trace_an': 12}
-
id: 194728024
{'hecke_orbit_code': 31526777973113616, 'n': 25, 'trace_an': -18}
-
id: 194728025
{'hecke_orbit_code': 31526777973113616, 'n': 26, 'trace_an': -16}
-
id: 194728026
{'hecke_orbit_code': 31526777973113616, 'n': 27, 'trace_an': -2}
-
id: 194728027
{'hecke_orbit_code': 31526777973113616, 'n': 28, 'trace_an': 0}
-
id: 194728028
{'hecke_orbit_code': 31526777973113616, 'n': 29, 'trace_an': -8}
-
id: 194728029
{'hecke_orbit_code': 31526777973113616, 'n': 30, 'trace_an': 12}
-
id: 194728030
{'hecke_orbit_code': 31526777973113616, 'n': 31, 'trace_an': 4}
-
id: 194728031
{'hecke_orbit_code': 31526777973113616, 'n': 32, 'trace_an': -16}
-
id: 194728032
{'hecke_orbit_code': 31526777973113616, 'n': 33, 'trace_an': 10}
-
id: 194728033
{'hecke_orbit_code': 31526777973113616, 'n': 34, 'trace_an': -6}
-
id: 194728034
{'hecke_orbit_code': 31526777973113616, 'n': 35, 'trace_an': 0}
-
id: 194728035
{'hecke_orbit_code': 31526777973113616, 'n': 36, 'trace_an': 4}
-
id: 194728036
{'hecke_orbit_code': 31526777973113616, 'n': 37, 'trace_an': -8}
-
id: 194728037
{'hecke_orbit_code': 31526777973113616, 'n': 38, 'trace_an': -2}
-
id: 194728038
{'hecke_orbit_code': 31526777973113616, 'n': 39, 'trace_an': 6}
-
id: 194728039
{'hecke_orbit_code': 31526777973113616, 'n': 40, 'trace_an': -12}
-
id: 194728040
{'hecke_orbit_code': 31526777973113616, 'n': 41, 'trace_an': 0}
-
id: 194728041
{'hecke_orbit_code': 31526777973113616, 'n': 42, 'trace_an': 0}
-
id: 194728042
{'hecke_orbit_code': 31526777973113616, 'n': 43, 'trace_an': 12}
-
id: 194728043
{'hecke_orbit_code': 31526777973113616, 'n': 44, 'trace_an': -16}
-
id: 194728044
{'hecke_orbit_code': 31526777973113616, 'n': 45, 'trace_an': -6}
-
id: 194728045
{'hecke_orbit_code': 31526777973113616, 'n': 46, 'trace_an': 10}
-
id: 194728046
{'hecke_orbit_code': 31526777973113616, 'n': 47, 'trace_an': 12}
-
id: 194728047
{'hecke_orbit_code': 31526777973113616, 'n': 48, 'trace_an': 8}
-
id: 194728048
{'hecke_orbit_code': 31526777973113616, 'n': 49, 'trace_an': 0}
-
id: 194728049
{'hecke_orbit_code': 31526777973113616, 'n': 50, 'trace_an': -16}
-
id: 194728050
{'hecke_orbit_code': 31526777973113616, 'n': 51, 'trace_an': 0}
-
id: 194728051
{'hecke_orbit_code': 31526777973113616, 'n': 52, 'trace_an': -16}
-
id: 194728052
{'hecke_orbit_code': 31526777973113616, 'n': 53, 'trace_an': 20}
-
id: 194728053
{'hecke_orbit_code': 31526777973113616, 'n': 54, 'trace_an': 0}
-
id: 194728054
{'hecke_orbit_code': 31526777973113616, 'n': 55, 'trace_an': 0}
-
id: 194728055
{'hecke_orbit_code': 31526777973113616, 'n': 56, 'trace_an': 0}
-
id: 194728056
{'hecke_orbit_code': 31526777973113616, 'n': 57, 'trace_an': 0}
-
id: 194728057
{'hecke_orbit_code': 31526777973113616, 'n': 58, 'trace_an': -16}
-
id: 194728058
{'hecke_orbit_code': 31526777973113616, 'n': 59, 'trace_an': 26}
-
id: 194728059
{'hecke_orbit_code': 31526777973113616, 'n': 60, 'trace_an': 0}
-
id: 194728060
{'hecke_orbit_code': 31526777973113616, 'n': 61, 'trace_an': -4}
-
id: 194728061
{'hecke_orbit_code': 31526777973113616, 'n': 62, 'trace_an': -2}
-
id: 194728062
{'hecke_orbit_code': 31526777973113616, 'n': 63, 'trace_an': 0}
-
id: 194728063
{'hecke_orbit_code': 31526777973113616, 'n': 64, 'trace_an': 0}
-
id: 194728064
{'hecke_orbit_code': 31526777973113616, 'n': 65, 'trace_an': -6}
-
id: 194728065
{'hecke_orbit_code': 31526777973113616, 'n': 66, 'trace_an': -2}
-
id: 194728066
{'hecke_orbit_code': 31526777973113616, 'n': 67, 'trace_an': -6}
-
id: 194728067
{'hecke_orbit_code': 31526777973113616, 'n': 68, 'trace_an': -24}
-
id: 194728068
{'hecke_orbit_code': 31526777973113616, 'n': 69, 'trace_an': -10}
-
id: 194728069
{'hecke_orbit_code': 31526777973113616, 'n': 70, 'trace_an': 0}
-
id: 194728070
{'hecke_orbit_code': 31526777973113616, 'n': 71, 'trace_an': 0}
-
id: 194728071
{'hecke_orbit_code': 31526777973113616, 'n': 72, 'trace_an': 16}
-
id: 194728072
{'hecke_orbit_code': 31526777973113616, 'n': 73, 'trace_an': -18}
-
id: 194728073
{'hecke_orbit_code': 31526777973113616, 'n': 74, 'trace_an': -30}
-
id: 194728074
{'hecke_orbit_code': 31526777973113616, 'n': 75, 'trace_an': -2}
-
id: 194728075
{'hecke_orbit_code': 31526777973113616, 'n': 76, 'trace_an': 16}
-
id: 194728076
{'hecke_orbit_code': 31526777973113616, 'n': 77, 'trace_an': 0}
-
id: 194728077
{'hecke_orbit_code': 31526777973113616, 'n': 78, 'trace_an': 8}
-
id: 194728078
{'hecke_orbit_code': 31526777973113616, 'n': 79, 'trace_an': 16}
-
id: 194728079
{'hecke_orbit_code': 31526777973113616, 'n': 80, 'trace_an': 0}
-
id: 194728080
{'hecke_orbit_code': 31526777973113616, 'n': 81, 'trace_an': -4}
-
id: 194728081
{'hecke_orbit_code': 31526777973113616, 'n': 82, 'trace_an': -8}
-
id: 194728082
{'hecke_orbit_code': 31526777973113616, 'n': 83, 'trace_an': -20}
-
id: 194728083
{'hecke_orbit_code': 31526777973113616, 'n': 84, 'trace_an': 0}
-
id: 194728084
{'hecke_orbit_code': 31526777973113616, 'n': 85, 'trace_an': 6}
-
id: 194728085
{'hecke_orbit_code': 31526777973113616, 'n': 86, 'trace_an': 0}
-
id: 194728086
{'hecke_orbit_code': 31526777973113616, 'n': 87, 'trace_an': 18}
-
id: 194728087
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