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mf_newforms • Show schema
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{'Nk2': 468, 'analytic_conductor': 0.9342497036489805, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [117, 2, [92, 28], [2, 1]], 'cm_discs': [], 'conrey_index': 64, 'conrey_indexes': [64], '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': [[2, [3, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 68753031285, 'hecke_ring_generator_nbound': 2, '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, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '117.2.b.a', 'level': 117, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.2.b.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\zeta_{6}q^{2}-q^{4}-2\\zeta_{6}q^{7}-\\zeta_{6}q^{8}+2\\zeta_{6}q^{11}+\\cdots', 'related_objects': ['EllipticCurve/2.2.13.1/81.1/a', 'ModularForm/GL2/TotallyReal/2.2.13.1/holomorphic/2.2.13.1-81.1-a'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '117.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1798871400187607826, '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': '14.782', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '143.207', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.522', 'prec': 17}, 'traces': [2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -12, 0, -10, 12, 0, 0, 0, 0, 12, 0, 0, 10, 12, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -10, 0, 0, 2, -12, 0, 0, -12, 0, 0, 0, 0, -4, -12, 0, -2, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 24, 0, -16, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 24, 0, 0, -12, 0, 0, 0, 0, 0, -10, -12, 0, 16, 12, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, -36, 0, 0, -2, 0, 0, 0, 0, 0, -16, 0, 0, 0, 24, 0, 24, -36, 0, 0, 0, 0, -8, 0, 0, -12, -24, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -22, 0, 0, 8, 36, 0, 0, 0, 0, 24, 24, 0, -20, 12, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, -48, 0, 10, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 10, -24, 0, -40, 12, 0, 0, 0, 0, -24, 24, 0, 0, -12, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 4, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 0], [-1, 0], [0, 0], [0, 0], [0, -2], [0, -1], [0, 0], [0, 0], [0, 2], [0, 0], [-1, 2], [-6, 0], [0, 0], [-5, 0], [6, 0], [0, 0], [0, 2], [0, 0], [0, 0], [6, 0], [0, 0], [0, 0], [5, 0], [6, 1], [0, 0], [0, 2], [-6, 0], [0, 0], [0, -2], [0, 3], [0, 0], [0, -6], [0, 0], [0, 0], [0, 4], [6, 0], [0, 0], [0, 0], [0, 4], [0, 0], [-4, 0], [0, -2], [0, 0], [0, 0], [0, -2], [0, 0], [-5, 0], [0, -5], [0, 0], [1, -2], [-6, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [0, 6], [0, -6], [0, 0], [-2, 0], [-6, 0], [0, 0], [-1, 0], [0, 0], [0, 0], [0, -6], [-6, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, 0], [12, 0], [0, 0], [0, -2], [12, 0], [0, 0], [-8, 0], [0, 0], [0, 0], [12, 0], [0, 2], [0, 0], [0, 0], [0, 4], [0, 0], [6, 0], [0, 4], [0, 0], [12, 2], [0, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, -8], [0, 5], [0, 0], [-5, 0]], 'ap': [[0, -1], [0, 0], [0, 0], [0, -2], [0, 2], [-1, 2], [6, 0], [0, 2], [0, 0], [-6, 0], [0, -2], [0, 4], [0, 4], [-4, 0], [0, -2], [-6, 0], [0, -6], [-2, 0], [0, -6], [0, -2], [0, 0], [-8, 0], [0, 2], [0, 4], [0, -8], [-6, 0], [8, 0], [-12, 0], [0, 4], [6, 0], [-8, 0], [12, 0], [0, 12], [-4, 0], [0, -8], [0, 6], [14, 0], [0, 2], [0, -10], [18, 0], [12, 0], [-10, 0], [-24, 0], [0, 0], [0, 0], [16, 0], [-20, 0], [0, -2], [0, 10], [0, -4], [6, 0], [0, 6], [0, 8], [12, 0], [-18, 0], [24, 0], [-6, 0], [0, 6], [-10, 0], [0, -4], [4, 0], [0, -16], [0, -6], [0, 0], [10, 0], [0, -8], [0, 2], [-14, 0], [-36, 0], [0, -4], [0, -20], [0, -10], [-16, 0], [22, 0], [0, 10], [0, -2], [18, 0], [0, -20], [0, -4], [0, 16], [12, 0], [0, -20], [0, 14], [34, 0], [8, 0], [36, 0], [0, -4], [0, -16], [0, 8], [0, -10], [-12, 0], [0, 6], [0, 22], [12, 0], [0, -6], [-24, 0], [0, 24], [-18, 0], [-4, 0], [0, 4], [20, 0], [0, -8], [12, 0], [6, 0], [4, 0], [0, 0], [0, -6], [0, -4], [-24, 0], [10, 0], [32, 0], [0, -12], [0, 4], [0, 18], [0, 22], [6, 0], [0, -6], [24, 0], [-6, 0], [-12, 0], [0, -12], [-46, 0], [-6, 0], [0, 18], [0, 26], [42, 0], [0, -4], [-24, 0], [16, 0], [0, 20], [0, -22], [0, -2], [32, 0], [22, 0], [0, 28], [0, 16], [0, 8], [0, -6], [42, 0], [30, 0], [0, -22], [0, -8], [-40, 0], [0, -14], [-2, 0], [0, -2], [0, -12], [-42, 0], [4, 0], [0, -18], [0, 28], [-18, 0], [-20, 0], [-48, 0], [-44, 0], [-24, 0], [-32, 0], [0, 12], [-38, 0], [0, 0], [0, -30], [-42, 0], [0, 6], [12, 0], [0, -28], [0, 30], [32, 0], [38, 0]], 'char_orbit_index': 2, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 68753031285, 'hecke_ring_character_values': [[92, [1, 0]], [28, [-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': '117.2.b.a', 'level': 117, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 468, 'analytic_conductor': 0.9342497036489805, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [117, 2, [92, 28], [2, 1]], 'conrey_index': 64, 'cusp_dim': 10, 'dim': 6, 'eis_dim': 8, 'eis_new_dim': 2, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 68753031285, 'hecke_orbit_dims': [2, 4], 'label': '117.2.b', 'level': 117, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 18, 'mf_new_dim': 8, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 6, 'sturm_bound': 28, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [6, 0, 0, -10, 0, 0, 0, 0, 0, -4, 0, 0, -2, -12, 0, 26, 12, 0, 0, 0, 0, -16, 0, 0, -10, 12, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 52, 0, 0, -24, 0, 0, 0, 0, 0, 18, 0, 0, -50, -12, 0, 32, -12, 0, 0, 0, 0, -4, -12, 0, -74, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 24, 0, -16, 0, 0, 92, 0, 0, 0, 0, 0, 64, 0, 0, 24, 0, 0, 8, 0, 0, 0, 0, 0, -74, -12, 0, -48, 12, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, 8, 0, 0, -46, 0, 0, 0, 0, 0, -16, 0, 0, -52, 24, 0, 24, -36, 0, 0, 0, 0, 72, 0, 0, 80, -24, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 36, 0, 0, -36, 0, 0, 0, 0, 0, -88, 0, 0, 30, 0, 0, 40, 36, 0, 0, 0, 0, -52, 24, 0, -60, 12, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, -48, 0, -46, 0, 0, 32, 0, 0, 0, 0, 0, 56, 0, 0, 114, -24, 0, -40, 12, 0, 0, 0, 0, -24, 24, 0, 144, -12, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -112, 0, 0, -72, 0, 0, 0, 0, 0, -100, 0, 0, -24, -12, 0, -104, 24, 0, 0, 0, 0, 154, -36, 0, 48, 0, 0, 0, 48, 0, 0, 0, 0, 0, -12, 0, 0, -60, 0, 116, 0, 0, -108, 0, 0, 0, 0, 0, 8, 0, 0, -64, 48, 0, -30, 0, 0, 0, 0, 0, 128, 24, 0, 68, 0, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 20, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 94, 12, 0, -236, -24, 0, 0, 0, 0, -136, 0, 0, -28, -24, 0, 0, 24, 0, 0, 0, 0, 0, -72, 0, 0, -60, 0, -288, 0, 0, -16, 0, 0, 0, 0, 0, 90, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 44, 72, 0, 40, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, -22, 0, 0, 24, 12, 0, 72, -48, 0, 0, 0, 0, 112, -72, 0, -64, -36, 0, 0, 24, 0, 0, 0, 0, 0, 60, 0, 0, 24, 0, 16, 0, 0, 68, 0, 0, 0, 0, 0, -144, 0, 0, 72, 72, 0, -136, -12, 0, 0, 0, 0, 32, -12, 0, 176, 0, 0, 0, -24, 0, 0, 0, 0, 0, 60, 0, 0, -24, 0, -72, 0, 0, -296, 0, 0, 0, 0, 0, 32, 0, 0, -48, 48, 0, -14, 0, 0, 0, 0, 0, -28, 24, 0, -72, -12, 0, 0, -24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 52, -36, 0, 168, -24, 0, 0, 0, 0, -138, 0, 0, -24, -48, 0, 0, -36, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, -72, 0, 0, 96, 0, 0, 0, 0, 0, -152, 0, 0, 8, 0, 0, 164, 24, 0, 0, 0, 0, -272, 12, 0, 8, 24, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, -244, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 20, 48, 0, 0, 0, 0, 192, -36, 0, -104, 24, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 158, 0, 0, -44, 0, 0, 0, 0, 0, -148, 0, 0, 10, -72, 0, 260, 12, 0, 0, 0, 0, 72, 48, 0, 32, 60, 0, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 12, 0, 376, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, -82, -12, 0, -96, 0, 0, 0, 0, 0, -184, -24, 0, -104, 12, 0, 0, -36, 0, 0, 0, 0, 0, -24, 0, 0, 84, 0, -48, 0, 0, -292, 0, 0, 0, 0, 0, 388, 0, 0, -208, -24, 0, -184, -48, 0, 0, 0, 0, 100, -60, 0, 32, 12, 0, 0, -48, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 72, 0, 0, -88, 0, 0, 0, 0, 0, -96, 0, 0, -72, 0, 0, 44, 60, 0, 0, 0, 0, 48, 48, 0, -232, 72, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, -48, 0, 224, 0, 0, 302, 0, 0, 0, 0, 0, 208, 0, 0, 108, -120, 0, 176, 84, 0, 0, 0, 0, -52, 0, 0, 0, 12, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, -216, 0, 0, 144, 0, 0, 0, 0, 0, -4, 0, 0, -258, -60, 0, 176, 24, 0, 0, 0, 0, -102, -120, 0, -376, 0, 0, 0, 60, 0, 0, 0, 0, 0, 24, 0, 0, -84, 0, 8, 0, 0, 152, 0, 0, 0, 0, 0, 24, 0, 0, 72, 24, 0, 0, 0, 0, 0, 0, 0, -128, -36, 0, -40, 12, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 0, 84, 0, 140, 0, 0, -72, 0, 0, 0, 0, 0, -88, 0, 0, 0, -48, 0, -160, -96, 0, 0, 0, 0, -64, 0, 0, 140, 24, 0, 0, -60, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, -76, 0, 0, -192, 0, 0, 0, 0, 0, 64, 0, 0, 0, 60, 0, -72, -84, 0, 0, 0, 0, 272, 144, 0, 162, -24, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 132, 0, 228, 0, 0, -64, 0, 0, 0, 0, 0, 152, 0, 0, 24, 0, 0, 96, 36, 0, 0, 0, 0, -156, -36, 0, 104], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 100870
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.b.a', 'target_level': 39, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 100871
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.b.a', 'target_level': 39, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 100872
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.b.a', 'target_level': 117, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 100873
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.b.a', 'target_level': 117, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 100874
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.a.f', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 100875
{'conductor': 39, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.e.e', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 100876
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.2.j.a', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 100877
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.2.j.a', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 100878
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.j.c', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 100879
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.j.c', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 100880
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.2.c.e', 'target_level': 624, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 100881
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.2.c.e', 'target_level': 624, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 100882
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.b.d', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 100883
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.b.d', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 100884
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '975.2.h.f', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 100885
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '975.2.h.f', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 100886
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1521.2.a.l', 'target_level': 1521, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 100887
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1872.2.c.e', 'target_level': 1872, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 100888
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1872.2.c.e', 'target_level': 1872, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 100889
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1911.2.c.d', 'target_level': 1911, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 100890
{'conductor': 273, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1911.2.c.d', 'target_level': 1911, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '273.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 100891
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2496.2.c.d', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 100892
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2496.2.c.d', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '312.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 100893
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2496.2.c.k', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 100894
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2496.2.c.k', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '312.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 100895
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '117.2.b.a', 'source_level': 117, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '8112.2.a.bv', 'target_level': 8112, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 332375
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 2}
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id: 332376
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 3}
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id: 332377
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 5}
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id: 332378
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 7}
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id: 332379
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 11}
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id: 332380
{'charpoly_factorization': [[[13, 2, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 13}
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id: 332381
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 17}
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id: 332382
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 19}
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id: 332383
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 23}
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id: 332384
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 29}
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id: 332385
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 31}
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id: 332386
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 37}
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id: 332387
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 41}
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id: 332388
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 43}
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id: 332389
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 47}
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id: 332390
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 53}
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id: 332391
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 59}
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id: 332392
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 61}
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id: 332393
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 67}
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id: 332394
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 71}
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id: 332395
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 73}
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id: 332396
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 68753031285, 'p': 79}
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id: 332397
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 83}
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id: 332398
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 89}
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id: 332399
{'charpoly_factorization': [[[192, 0, 1], 1]], 'hecke_orbit_code': 68753031285, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '117.2.b.a', 'level': 117, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 17185000
{'hecke_orbit_code': 68753031285, 'n': 1, 'trace_an': 2}
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id: 17185001
{'hecke_orbit_code': 68753031285, 'n': 2, 'trace_an': 0}
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id: 17185002
{'hecke_orbit_code': 68753031285, 'n': 3, 'trace_an': 0}
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id: 17185003
{'hecke_orbit_code': 68753031285, 'n': 4, 'trace_an': -2}
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id: 17185004
{'hecke_orbit_code': 68753031285, 'n': 5, 'trace_an': 0}
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id: 17185005
{'hecke_orbit_code': 68753031285, 'n': 6, 'trace_an': 0}
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id: 17185006
{'hecke_orbit_code': 68753031285, 'n': 7, 'trace_an': 0}
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id: 17185007
{'hecke_orbit_code': 68753031285, 'n': 8, 'trace_an': 0}
-
id: 17185008
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