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mf_newforms • Show schema
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{'Nk2': 800, 'analytic_conductor': 1.5970080404256077, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [200, 4, [151, 101, 177], [2, 2, 3]], 'cm_discs': [], 'conrey_index': 43, 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 4, 2, -2, 1]], [7, [400, 0, 0, 0, 60, 0, 0, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525884619915464, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 40, 11, 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': '200.2.k.h', 'level': 200, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '40.2.k.a', 'nf_label': '8.0.4000000.1', 'prim_orbit_index': 11, 'qexp_display': 'q+\\beta_{7} q^{2}+(\\beta_{6}-\\beta_{5}-\\beta_{3}+1)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '200.2.k', 'trace_display': [2, 4, 0, 0], 'trace_hash': 1792409725324760349, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.547', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, -1, 0, -1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -1, -1, 0, 0], [-1, 1, -1, 1, 0, 1, -1, 0], [0, 1, 1, 2, -1, 1, -1, -1], [0, 0, 0, -1, 1, -1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, -1, 1, -1], [-2, 0, 0, -2, 2, 0, 0, 0], [-1, -1, -1, -1, 1, 1, 1, 1], [0, 1, 0, 2, -2, 2, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0], [0, 1, 1, 2, -1, -1, 0, -1], [0, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, -1], [0, -1, 1, -2, -1, -1, 1, -1], [-1, -1, -1, -1, 1, -2, -2, 1], [0, 0, 0, 4, 0, 0, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, -2, -2, 1, -1], [0, 0, 0, 0, -2, 0, 0, -2], [2, 0, 0, -2, 0, 2, 0, 0], [0, -2, 0, -2, 2, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -2, 0, -1, -1, -3, 3], [4, 0, 0, 4, 0, 0, 0, 0], [2, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 1, 0, 1, 1, 1, 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-4, -4], [-16, 0, 0, 0, 13, 13, -13, 13], [-2, 0, -2, 0, -5, -5, -7, 7], [11, 11, 11, 11, -11, -6, -6, -11], [-13, 0, 0, -13, 3, 0, 0, 3], [0, 20, 0, 20, -17, 17, -3, -3], [0, 8, 0, 8, -4, 4, -4, -4], [-13, -13, -13, -13, 13, 5, 5, 13], [3, 0, 0, 3, -24, 0, 0, -24], [0, 0, 0, -10, -2, 2, -2, -2], [15, 15, 15, 15, -15, 6, 6, -15], [-7, 7, -7, 7, -7, 7, -7, 7], [36, 0, 0, 0, -9, -9, 9, -9], [-15, 0, 0, 15, 0, 11, -11, 0], [11, -11, 11, -11, -8, -11, 11, 8], [19, 0, 0, 19, -7, 0, 0, -7], [-2, 0, -2, 0, 7, 7, 5, -5], [0, 12, 0, 12, -4, 4, -8, -8], [0, 0, 0, -14, -7, 7, -7, -7], [-3, 0, 0, -3, 28, 0, 0, 28], [0, 0, 0, 0, 16, 16, 16, -16], [7, 0, 0, 7, -3, 0, 0, -3], [13, 0, 0, -13, 0, 10, -10, 0], [7, -7, 7, -7, -2, -7, 7, 2], [20, 0, 0, 0, -11, -11, 11, -11], [27, 0, 0, 27, -2, 0, 0, -2], [7, 7, 7, 7, -7, 4, 4, -7], [10, 0, 10, 0, -7, -7, 3, -3], [-19, 19, -19, 19, 7, 19, -19, -7]], 'char_orbit_index': 11, 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'hecke_orbit_code': 31525884619915464, 'hecke_ring_character_values': [[151, [-1, 0, 0, 0, 0, 0, 0, 0]], [101, [-1, 0, 0, 0, 0, 0, 0, 0]], [177, [0, 0, 0, 1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [2, 0, 1, 0, -1, -1, 1, -1], [0, 0, 0, 0, 1, -1, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, -1], [-1, 0, 1, 1, -1, 0, 1, 0], [1, 0, -1, 1, 1, 0, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '200.2.k.h', 'level': 200, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 800, 'analytic_conductor': 1.5970080404256077, 'char_conductor': 40, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [200, 4, [151, 101, 177], [2, 2, 3]], 'conrey_index': 43, 'cusp_dim': 48, 'dim': 32, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 687228321992, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 8, 8], 'label': '200.2.k', 'level': 200, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 72, 'mf_new_dim': 40, 'num_forms': 8, 'prim_orbit_index': 11, 'relative_dim': 16, 'sturm_bound': 60, 'trace_bound': 3, 'trace_display': [2, 4, 0, 0], 'traces': [32, 2, 4, 0, 0, 4, 0, -4, 0, 0, -8, -12, 0, 0, 0, -28, 8, -10, 0, 0, 0, -12, 0, 0, 0, -52, -8, 20, 0, 0, 0, 32, 16, 0, 0, 76, 0, 4, 0, 0, -8, 20, -28, 0, 0, 8, 0, -16, 0, 0, -40, -20, 0, 0, 0, -32, -8, -20, 0, 0, 0, -40, 0, 0, 0, -100, 28, 4, 0, 0, 0, 20, -16, 0, 0, 52, 0, 40, 0, 0, -40, 28, 44, 0, 0, 96, 0, -16, 0, 0, 56, -20, 0, 0, 0, 44, -16, 6, 0, 0, 0, -8, 0, 0, 0, 68, -52, 16, 0, 0, 0, 0, -16, 0, 0, 80, 0, 12, 0, 0, -16, 40, -64, 0, 0, 88, 0, 16, 0, 0, -136, -8, 0, 0, 0, -116, 8, -20, 0, 0, 0, 0, 0, 0, 0, 64, 28, 20, 0, 0, 0, 8, 0, 0, 0, -160, 0, -40, 0, 0, 56, -22, 84, 0, 0, 44, 0, 0, 0, 0, 192, 4, 0, 0, 0, -108, 56, -16, 0, 0, 0, 0, 0, 0, 0, -40, -8, -60, 0, 0, 0, -32, 24, 0, 0, -200, 0, 20, 0, 0, -40, -40, -40, 0, 0, -112, 0, -40, 0, 0, 72, 20, 0, 0, 0, -20, -40, 60, 0, 0, 0, 40, 0, 0, 0, -56, 84, -24, 0, 0, 0, -40, -8, 0, 0, 104, 0, 0, 0, 0, -168, 10, 100, 0, 0, -340, 0, 40, 0, 0, 152, 20, 0, 0, 0, 292, -96, 28, 0, 0, 0, 44, 0, 0, 0, -24, -48, 4, 0, 0, 0, 8, -40, 0, 0, 80, 0, -76, 0, 0, 24, -100, -116, 0, 0, 16, 0, 0, 0, 0, -72, 68, 0, 0, 0, 208, 48, 20, 0, 0, 0, 40, 0, 0, 0, 364, 28, -40, 0, 0, 0, -40, 32, 0, 0, -40, 0, 0, 0, 0, 280, -60, 16, 0, 0, 204, 0, 64, 0, 0, -8, -12, 0, 0, 0, 40, 88, 46, 0, 0, 0, 20, 0, 0, 0, 268, -92, 40, 0, 0, 0, -32, 72, 0, 0, -108, 0, 4, 0, 0, -96, 0, -60, 0, 0, 0, 0, 80, 0, 0, -344, 80, 0, 0, 0, -192, 0, -40, 0, 0, 0, 80, 0, 0, 0, -136, -20, 12, 0, 0, 0, -28, -32, 0, 0, -288, 0, -120, 0, 0, -128, -28, 40, 0, 0, -320, 0, -24, 0, 0, -360, 60, 0, 0, 0, -72, -88, -24, 0, 0, 0, -12, 0, 0, 0, -240, -40, -76, 0, 0, 0, -48, -96, 0, 0, -40, 0, 16, 0, 0, 304, 20, -36, 0, 0, -272, 0, 0, 0, 0, -64, -52, 0, 0, 0, 540, 48, 100, 0, 0, 0, 0, 0, 0, 0, -44, 84, -20, 0, 0, 0, -56, 48, 0, 0, 400, 0, 80, 0, 0, 16, 28, 80, 0, 0, 184, 0, 40, 0, 0, 184, 72, 0, 0, 0, 160, 120, -44, 0, 0, 0, 28, 0, 0, 0, 136, 68, 20, 0, 0, 0, 32, -16, 0, 0, 88, 0, 0, 0, 0, 32, -20, -36, 0, 0, 208, 0, 16, 0, 0, 32, -40, 0, 0, 0, -116, -88, -20, 0, 0, 0, -80, 0, 0, 0, 280, -12, -36, 0, 0, 0, 80, 80, 0, 0, -268, 0, 0, 0, 0, -352, -36, -28, 0, 0, 84, 0, -120, 0, 0, 344, 0, 0, 0, 0, -464, -192, 30, 0, 0, 0, 16, 0, 0, 0, -92, -92, 44, 0, 0, 0, -40, -56, 0, 0, -280, 0, -40, 0, 0, 152, 20, -20, 0, 0, -280, 0, 64, 0, 0, 296, -20, 0, 0, 0, -104, 104, -100, 0, 0, 0, -80, 0, 0, 0, -724, -32, 60, 0, 0, 0, 80, 96, 0, 0, 200, 0, 40, 0, 0, 344, 52, 12, 0, 0, -220, 0, -76, 0, 0, 160, -12, 0, 0, 0, 52, 120, -20, 0, 0, 0, -132, 0, 0, 0, -132, 120, -60, 0, 0, 0, 0, 192, 0, 0, 560, 0, 16, 0, 0, -232, 40, 84, 0, 0, 296, 0, -48, 0, 0, 152, -140, 0, 0, 0, 200, -8, 20, 0, 0, 0, 40, 0, 0, 0, 396, 80, 88, 0, 0, 0, 48, -200, 0, 0, 92, 0, 40, 0, 0, -264, 30, 16, 0, 0, 544, 0, 40, 0, 0, 88, -80, 0, 0, 0, -192, -48, -20, 0, 0, 0, 40, 0, 0, 0, 268, 20, 16, 0, 0, 0, 80, -144, 0, 0, -440, 0, 44, 0, 0, -48, 100, 80, 0, 0, 328, 0, -96, 0, 0, -312, -52, 0, 0, 0, -744, -40, -100, 0, 0, 0, -40, 0, 0, 0, -152, -116, -60, 0, 0, 0, 0, -120, 0, 0, -320, 0, 40, 0, 0, 112, 108, -104, 0, 0, -80, 0, -80, 0, 0, -696, -40, 0, 0, 0, -380, 56, 104, 0, 0, 0, -8, 0, 0, 0, -464, -92, 100, 0, 0, 0, 80, -16, 0, 0, 196, 0, 124, 0, 0, -288, 80, 48, 0, 0, -112, 0, -40, 0, 0, -344, 0, 0, 0, 0, 404, -72, 40, 0, 0, 0, 0, 0, 0, 0, 64, -60, 80, 0, 0, 0, 80, 40, 0, 0, 780, 0, -40, 0, 0, -216, -10, -76, 0, 0, 44, 0, 40, 0, 0, -248, -100, 0, 0, 0, 328, -120, -96, 0, 0, 0, -48, 0, 0, 0, 560, 124, 52, 0, 0, 0, 32, -64, 0, 0, 200, 0, 24, 0, 0, 40, -40, 120, 0, 0, 648, 0, 0, 0, 0, 368, -36, 0, 0, 0, -232, 88, 20, 0, 0, 0, -80, 0, 0, 0, 128, 44, 80, 0, 0, 0, 40, 144, 0, 0, -120, 0, -40, 0, 0, 592, 20, -100, 0, 0, 40, 0, 60, 0, 0, 552, -60, 0, 0, 0, -280, 208, -84, 0, 0, 0, -36, 0, 0, 0, -400, 80, -40, 0, 0, 0, 0, 256, 0, 0, -460, 0, -68, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 165947
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '40.2.k.a', 'target_level': 40, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 165948
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '40.2.k.a', 'target_level': 40, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 165949
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '40.2.k.a', 'target_level': 40, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 165950
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '40.2.k.a', 'target_level': 40, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 165951
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '160.2.o.a', 'target_level': 160, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 165952
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '160.2.o.a', 'target_level': 160, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 165953
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '160.2.o.a', 'target_level': 160, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 165954
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '160.2.o.a', 'target_level': 160, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 165955
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '200.2.k.h', 'target_level': 200, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 165956
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '200.2.k.h', 'target_level': 200, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 165957
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '200.2.k.h', 'target_level': 200, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 165958
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '200.2.k.h', 'target_level': 200, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 165959
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '360.2.w.c', 'target_level': 360, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 165960
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '360.2.w.c', 'target_level': 360, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 165961
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '360.2.w.c', 'target_level': 360, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 165962
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '360.2.w.c', 'target_level': 360, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 165963
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.2.o.g', 'target_level': 800, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 165964
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.2.o.g', 'target_level': 800, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 165965
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.2.o.g', 'target_level': 800, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 165966
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.2.o.g', 'target_level': 800, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 165967
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1280.2.n.m', 'target_level': 1280, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 165968
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1280.2.n.m', 'target_level': 1280, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 165969
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1280.2.n.m', 'target_level': 1280, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 165970
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1280.2.n.m', 'target_level': 1280, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 165971
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1280.2.n.q', 'target_level': 1280, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 165972
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1280.2.n.q', 'target_level': 1280, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 165973
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1280.2.n.q', 'target_level': 1280, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 165974
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1280.2.n.q', 'target_level': 1280, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 165975
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 35, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1440.2.bi.c', 'target_level': 1440, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 165976
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 35, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1440.2.bi.c', 'target_level': 1440, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 165977
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 35, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1440.2.bi.c', 'target_level': 1440, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 165978
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '200.2.k.h', 'source_level': 200, 'target_char_orbit': 35, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1440.2.bi.c', 'target_level': 1440, 'twist_class_label': '40.2.k.a', 'twist_class_level': 40, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 499325
{'charpoly_factorization': [[[16, -16, 8, 0, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 31525884619915464, 'p': 2}
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id: 499326
{'charpoly_factorization': [[[4, 4, 2, -2, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 3}
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id: 499327
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525884619915464, 'p': 5}
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id: 499328
{'charpoly_factorization': [[[400, 0, 0, 0, 60, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31525884619915464, 'p': 7}
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id: 499329
{'charpoly_factorization': [[[-4, 2, 1], 4]], 'hecke_orbit_code': 31525884619915464, 'p': 11}
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id: 499330
{'charpoly_factorization': [[[400, 0, 0, 0, 360, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31525884619915464, 'p': 13}
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id: 499331
{'charpoly_factorization': [[[2, -2, 1], 4]], 'hecke_orbit_code': 31525884619915464, 'p': 17}
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id: 499332
{'charpoly_factorization': [[[4, 0, 1], 4]], 'hecke_orbit_code': 31525884619915464, 'p': 19}
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id: 499333
{'charpoly_factorization': [[[250000, 0, 0, 0, 1500, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31525884619915464, 'p': 23}
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id: 499334
{'charpoly_factorization': [[[80, 0, -40, 0, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 29}
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id: 499335
{'charpoly_factorization': [[[2000, 0, 100, 0, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 31}
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id: 499336
{'charpoly_factorization': [[[400, 0, 0, 0, 360, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31525884619915464, 'p': 37}
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id: 499337
{'charpoly_factorization': [[[-44, 2, 1], 4]], 'hecke_orbit_code': 31525884619915464, 'p': 41}
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id: 499338
{'charpoly_factorization': [[[484, 308, 98, 14, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 43}
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id: 499339
{'charpoly_factorization': [[[5856400, 0, 0, 0, 12060, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31525884619915464, 'p': 47}
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id: 499340
{'charpoly_factorization': [[[400, 0, 0, 0, 360, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31525884619915464, 'p': 53}
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id: 499341
{'charpoly_factorization': [[[16, 0, 72, 0, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 59}
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id: 499342
{'charpoly_factorization': [[[80, 0, 100, 0, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 61}
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id: 499343
{'charpoly_factorization': [[[484, -308, 98, -14, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 67}
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id: 499344
{'charpoly_factorization': [[[6480, 0, 180, 0, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 71}
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id: 499345
{'charpoly_factorization': [[[6724, -656, 32, 8, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 73}
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id: 499346
{'charpoly_factorization': [[[1280, 0, -160, 0, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 79}
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id: 499347
{'charpoly_factorization': [[[3364, -1276, 242, -22, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 83}
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id: 499348
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 89}
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id: 499349
{'charpoly_factorization': [[[4, -16, 32, 8, 1], 2]], 'hecke_orbit_code': 31525884619915464, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 8, 'label': '200.2.k.h', 'level': 200, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50107705
{'hecke_orbit_code': 31525884619915464, 'n': 1, 'trace_an': 8}
-
id: 50107706
{'hecke_orbit_code': 31525884619915464, 'n': 2, 'trace_an': 2}
-
id: 50107707
{'hecke_orbit_code': 31525884619915464, 'n': 3, 'trace_an': 4}
-
id: 50107708
{'hecke_orbit_code': 31525884619915464, 'n': 4, 'trace_an': 0}
-
id: 50107709
{'hecke_orbit_code': 31525884619915464, 'n': 5, 'trace_an': 0}
-
id: 50107710
{'hecke_orbit_code': 31525884619915464, 'n': 6, 'trace_an': -8}
-
id: 50107711
{'hecke_orbit_code': 31525884619915464, 'n': 7, 'trace_an': 0}
-
id: 50107712
{'hecke_orbit_code': 31525884619915464, 'n': 8, 'trace_an': -4}
-
id: 50107713
{'hecke_orbit_code': 31525884619915464, 'n': 9, 'trace_an': 0}
-
id: 50107714
{'hecke_orbit_code': 31525884619915464, 'n': 10, 'trace_an': 0}
-
id: 50107715
{'hecke_orbit_code': 31525884619915464, 'n': 11, 'trace_an': -8}
-
id: 50107716
{'hecke_orbit_code': 31525884619915464, 'n': 12, 'trace_an': -12}
-
id: 50107717
{'hecke_orbit_code': 31525884619915464, 'n': 13, 'trace_an': 0}
-
id: 50107718
{'hecke_orbit_code': 31525884619915464, 'n': 14, 'trace_an': 0}
-
id: 50107719
{'hecke_orbit_code': 31525884619915464, 'n': 15, 'trace_an': 0}
-
id: 50107720
{'hecke_orbit_code': 31525884619915464, 'n': 16, 'trace_an': 8}
-
id: 50107721
{'hecke_orbit_code': 31525884619915464, 'n': 17, 'trace_an': 8}
-
id: 50107722
{'hecke_orbit_code': 31525884619915464, 'n': 18, 'trace_an': -10}
-
id: 50107723
{'hecke_orbit_code': 31525884619915464, 'n': 19, 'trace_an': 0}
-
id: 50107724
{'hecke_orbit_code': 31525884619915464, 'n': 20, 'trace_an': 0}
-
id: 50107725
{'hecke_orbit_code': 31525884619915464, 'n': 21, 'trace_an': 0}
-
id: 50107726
{'hecke_orbit_code': 31525884619915464, 'n': 22, 'trace_an': -12}
-
id: 50107727
{'hecke_orbit_code': 31525884619915464, 'n': 23, 'trace_an': 0}
-
id: 50107728
{'hecke_orbit_code': 31525884619915464, 'n': 24, 'trace_an': 0}
-
id: 50107729
{'hecke_orbit_code': 31525884619915464, 'n': 25, 'trace_an': 0}
-
id: 50107730
{'hecke_orbit_code': 31525884619915464, 'n': 26, 'trace_an': 20}
-
id: 50107731
{'hecke_orbit_code': 31525884619915464, 'n': 27, 'trace_an': -8}
-
id: 50107732
{'hecke_orbit_code': 31525884619915464, 'n': 28, 'trace_an': 20}
-
id: 50107733
{'hecke_orbit_code': 31525884619915464, 'n': 29, 'trace_an': 0}
-
id: 50107734
{'hecke_orbit_code': 31525884619915464, 'n': 30, 'trace_an': 0}
-
id: 50107735
{'hecke_orbit_code': 31525884619915464, 'n': 31, 'trace_an': 0}
-
id: 50107736
{'hecke_orbit_code': 31525884619915464, 'n': 32, 'trace_an': 32}
-
id: 50107737
{'hecke_orbit_code': 31525884619915464, 'n': 33, 'trace_an': 16}
-
id: 50107738
{'hecke_orbit_code': 31525884619915464, 'n': 34, 'trace_an': 0}
-
id: 50107739
{'hecke_orbit_code': 31525884619915464, 'n': 35, 'trace_an': 0}
-
id: 50107740
{'hecke_orbit_code': 31525884619915464, 'n': 36, 'trace_an': -20}
-
id: 50107741
{'hecke_orbit_code': 31525884619915464, 'n': 37, 'trace_an': 0}
-
id: 50107742
{'hecke_orbit_code': 31525884619915464, 'n': 38, 'trace_an': 4}
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