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mf_newforms • Show schema
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{'Nk2': 2400, 'analytic_conductor': 4.791024121276823, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [600, 2, [151, 301, 401, 577], [2, 1, 2, 2]], 'cm_discs': [], 'conrey_index': 301, 'conrey_indexes': [301], 'dim': 8, 'field_disc': 214798336, 'field_disc_factorization': [[2, 12], [229, 2]], 'field_poly': [16, -16, 0, -4, 9, -2, 0, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 12, -6, -4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511486110433880, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '600.2.k.d', 'level': 600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '600.2.k.d', 'nf_label': '8.0.214798336.3', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{3}q^{2}+\\beta _{2}q^{3}+(-\\beta _{4}-\\beta _{5}+\\beta _{6}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '600.2.k', 'trace_display': [-2, 0, 0, 8], 'trace_hash': 1830086318469689041, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.561', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '228.395', 'prec': 24}, {'__RealLiteral__': 0, 'data': 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'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, -1, 0, 0, -1, 0], [1, 0, 1, 0, 0, 0, -1, 1], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 1, -1, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0], [-1, 1, 1, 0, 1, -1, 1, 0], [0, -1, 1, 2, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 2, 1, -1, 1, -2], [0, 1, 0, 0, 1, 0, -2, -1], [0, 0, 0, -1, 0, 0, 0, 0], [-1, -2, -3, -1, -1, -1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, -1, 1], [2, 1, 3, 0, 1, 1, -1, 0], [1, -2, 0, 3, 3, 1, 0, -2], [-1, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 4, -1, 0, 0, 0, 2], [0, 0, -1, 0, 0, 0, 0, 0], [-2, 1, -3, -2, 0, -2, 0, 0], [0, -1, -4, -2, 1, 0, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 1, -2, -2, -1, 0], [4, 2, 0, 0, 0, 0, 0, 2], [0, 1, 0, -2, -1, 0, 0, 1], [2, -1, 1, 2, -1, 1, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, -1, 0], [0, 0, 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6, 23, 3, 3, -9, 12, -6], [-6, 4, 22, -8, 12, -6, -2, 6], [9, 3, 0, 5, 0, -4, -7, -4], [3, 10, 30, 11, -1, 3, 8, 2], [8, -2, -24, 2, -4, 8, -6, 4], [-3, -6, 0, -5, -1, 5, 12, 6], [-3, 7, -5, 6, 1, -3, 9, -2], [26, 4, 0, -14, -6, 2, 4, 8], [6, 0, -12, 10, -10, 6, 4, -4], [16, 2, 0, -12, 6, 8, 0, 2], [-1, 9, 5, -2, 11, -1, -1, 10], [26, -10, 0, 18, 4, -2, 4, -6], [3, -10, -13, -9, -1, 3, -12, 2], [-18, 16, 0, -22, -6, 0, -10, 6], [0, 4, -4, 0, 4, 0, 0, 4], [10, 4, 0, -10, 2, 4, -2, 2], [-9, 1, 0, -7, -18, -6, 11, 12], [8, 1, 0, -4, 5, 4, -2, -1], [-11, 6, 0, 4, -6, -8, -8, -2], [14, 8, -2, 4, 4, 14, -10, 18], [5, -4, 8, 5, -9, 5, 0, -4], [0, 4, 0, -8, -12, -4, 4, 8], [14, -2, 0, -6, 8, 8, 2, 0], [0, 4, 38, 4, 0, 0, 4, 0], [0, -12, 0, 22, -2, -6, 8, -4], [-18, 4, 0, -10, 6, 6, -4, 0], [-25, -7, 0, 7, 8, 4, 3, -4], [4, 8, 28, 12, -4, 4, 8, 0]], 'char_orbit_index': 11, 'field_poly': [16, -16, 0, -4, 9, -2, 0, -2, 1], 'hecke_orbit_code': 13511486110433880, 'hecke_ring_character_values': [[151, [1, 0, 0, 0, 0, 0, 0, 0]], [301, [-1, 0, 0, 0, 0, 0, 0, 0]], [401, [1, 0, 0, 0, 0, 0, 0, 0]], [577, [1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 8, 8, 8, 4, 4, 4, 4], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, -1, 0, 1, 1], [0, -1, 1, 0, 1, -1, 1, 0], [3, 2, 1, -1, 1, 0, 1, 1], [0, 1, 5, -2, -1, 1, 1, 4], [-1, -2, 1, -1, 7, 2, 1, -1], [0, 5, -5, -8, -1, 1, 3, 4], [5, -2, 3, -11, -1, 8, -5, 7]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, -4, -6, 3, 2, 0, 0, -1], [56, -20, -12, -21, 18, 4, 2, -5], [-64, 24, 10, 25, -18, -4, -4, 5], [-36, 10, 8, 15, -10, -2, -2, 3], [36, -8, -12, -15, 10, 4, 2, -3], [44, -10, -9, -18, 12, 4, 3, -4], [-80, 26, 18, 31, -22, -6, -4, 7]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '600.2.k.d', 'level': 600, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2400, 'analytic_conductor': 4.791024121276823, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [600, 2, [151, 301, 401, 577], [2, 1, 2, 2]], 'conrey_index': 301, 'cusp_dim': 108, 'dim': 38, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 687228322392, 'hecke_orbit_dims': [2, 2, 6, 8, 8, 12], 'label': '600.2.k', 'level': 600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 132, 'mf_new_dim': 38, 'num_forms': 6, 'prim_orbit_index': 2, 'relative_dim': 38, 'sturm_bound': 240, 'trace_bound': 2, 'trace_display': [-2, 0, 0, -4], 'traces': [38, -2, 0, 4, 0, 2, -4, -8, -38, 0, 0, -4, 0, 0, 0, 12, 4, 2, 0, 0, 0, 12, 8, -8, 0, -12, 0, 28, 0, 0, -4, -12, 0, 4, 0, -4, 0, -8, 8, 0, -4, -16, 0, -56, 0, 0, 24, -16, 30, 0, 0, -8, 0, -2, 0, 56, 8, 24, 0, 0, 0, -20, 4, 4, 0, -16, 0, 16, 0, 0, -40, 8, 28, 16, 0, -16, 0, -16, -36, 0, 38, -44, 0, 32, 0, -28, -12, -28, 20, 0, 0, 24, 0, 16, 0, -28, -12, 6, 0, 0, 0, 36, 20, 48, 0, -60, 0, 4, 0, 0, -16, 36, -52, -4, 0, -40, 0, -44, 72, 0, 2, 56, 0, 64, 0, 0, 60, 12, -8, 0, 0, -36, 0, 4, 0, -16, 28, 8, 0, 0, 0, 16, -80, -12, 0, 12, 0, -16, 0, 0, 4, -48, -4, 80, 0, -8, 0, 28, -12, 0, -48, -2, 0, -80, 0, 0, -96, -12, -18, 0, 0, -40, 0, -36, 0, 32, -8, -4, 0, 0, 0, -88, -32, -64, 0, -8, 0, -48, 0, 0, -64, 40, -4, -176, 0, 116, 0, -12, 44, 0, -24, -8, 0, 88, 0, 60, -8, -8, -32, 0, 0, 72, 0, 112, 0, 8, 8, -32, 0, 0, 0, 48, 28, -24, 0, -12, 0, 24, 0, 0, 48, 60, 68, 12, 0, 160, 0, 24, 48, 0, 44, 122, 0, -56, 0, -68, -64, 96, -32, 0, 0, -28, 0, 36, 0, 36, -68, 16, 0, 0, 0, 36, 112, 24, 0, -52, 0, -16, 0, 0, -44, -128, 16, 140, 0, 24, 0, 64, 4, 0, 100, -64, 0, -8, 0, -88, 120, 12, 34, 0, 0, -12, 0, -66, 0, -88, 0, 24, 0, 0, 0, -84, 60, -184, 0, -4, 0, -80, 0, 0, -80, 64, -76, -148, 0, -152, 0, -4, -224, 0, 24, -40, 0, 4, 0, 52, 8, 56, -16, 0, 0, 120, 0, -96, 0, 8, -76, -74, 0, 0, 0, 8, -56, 240, 0, 228, 0, 4, 0, 0, -8, 76, 44, 136, 0, -72, 0, 28, 88, 0, -126, 96, 0, -120, 0, 44, 4, 56, 4, 0, 0, -64, 0, -32, 0, -96, 48, 16, 0, 0, 0, 16, -112, -44, 0, 232, 0, 36, 0, 0, 176, -136, 40, 28, 0, 56, 0, 100, 16, 0, -76, -56, 0, 40, 0, 88, -112, -24, 76, 0, 0, -4, 0, 0, 0, 96, 40, -72, 0, 0, 0, -96, -24, -32, 0, 72, 0, -40, 0, 0, 280, 16, -44, -108, 0, 104, 0, -32, -164, 0, -30, -96, 0, 72, 0, -16, -12, -20, -12, 0, 0, 136, 0, -240, 0, 16, -68, -72, 0, 0, 0, 96, -20, 104, 0, -164, 0, 8, 0, 0, 80, -12, -96, 36, 0, -120, 0, -88, -40, 0, -112, 108, 0, 36, 0, 2, 44, 8, 24, 0, 0, -96, 0, 348, 0, -136, 144, 8, 0, 0, 0, 84, 168, -56, 0, -128, 0, -12, 0, 0, -56, -116, -8, -172, 0, -80, 0, 56, 148, 0, -36, -24, 0, 88, 0, -144, 40, -44, 150, 0, 0, -88, 0, -92, 0, -320, 24, -40, 0, 0, 0, -84, 88, 40, 0, 84, 0, -8, 0, 0, -160, 48, 104, 36, 0, -88, 0, 20, 16, 0, 0, -60, 0, -48, 0, 196, -4, -152, 44, 0, 0, 104, 0, -72, 0, -4, 68, -54, 0, 0, 0, 72, -96, 96, 0, 76, 0, 60, 0, 0, -108, 48, -20, 16, 0, -32, 0, 16, 40, 0, 44, 112, 0, 312, 0, 44, 92, 16, -56, 0, 0, -16, 0, 188, 0, 280, -92, 56, 0, 0, 0, 24, -216, -8, 0, -152, 0, 32, 0, 0, -108, -96, -88, 100, 0, -32, 0, -24, 40, 0, -108, -80, 0, -344, 0, -72, -8, -8, 64, 0, 0, -88, 0, -180, 0, 104, -28, 184, 0, 0, 0, -136, -128, 216, 0, -16, 0, -40, 0, 0, 208, 100, 84, 144, 0, -52, 0, -28, 40, 0, -48, -80, 0, 16, 0, -356, -56, 56, -224, 0, 0, 136, 0, 40, 0, -120, 104, 8, 0, 0, 0, 16, 192, -64, 0, 12, 0, 44, 0, 0, 36, 136, 80, -96, 0, -208, 0, -80, -72, 0, 40, 42, 0, -8, 0, -98, 76, 8, -38, 0, 0, -72, 0, 128, 0, -224, -64, 44, 0, 0, 0, 48, 256, -120, 0, -116, 0, 176, 0, 0, 44, -96, 0, 344, 0, -32, 0, -16, -64, 0, 188, -56, 0, -184, 0, 512, 48, -32, -4, 0, 0, -116, 0, 28, 0, 184, -64, 24, 0, 0, 0, -48, 12, -172, 0, -48, 0, -40, 0, 0, 264, 28, -160, -332, 0, 168, 0, -40, 112, 0, -20, -68, 0, 208, 0, 92, 84, -28, 28, 0, 0, 56, 0, 160, 0, 152, 64, 12, 0, 0, 0, 68, -100, -136, 0, -16, 0, -24, 0, 0, -152, -8, 116, 64, 0, 360, 0, -116, -504, 0, -74, 72, 0, 16, 0, -16, -172, -32, 120, 0, 0, -56, 0, -164, 0, 296, -100, 40, 0, 0, 0, 80, -128, 28, 0, -232, 0, -96, 0, 0, 240, -24, 12, -104, 0, 136, 0, -92, 68, 0, 156, -6, 0, -72, 0, -256, -48, -8, -200, 0, 0, -76, 0, -132, 0, 64, 64, 100, 0, 0, 0, -184, -176, -352, 0, -80, 0, 16, 0, 0, 192, 56, 32, -228, 0, -184, 0, -36, 292, 0, 8, -24, 0, -32, 0, 132, -20, -116, 52, 0, 0, -16, 0, 64, 0, -48, -156, 32, 0, 0, 0, 32, 176, 592, 0, 152, 0, 32, 0, 0, -4, 64, -84, 60, 0, -72, 0, 112, -120, 0, 78, 128, 0, -232, 0, 184, 52, 24, 48, 0, 0, -4, 0, -240, 0, -128, 100, -16, 0, 0, 0, 140, 128, -48, 0, 472, 0, 64, 0, 0, -420, 8, 40, -96, 0, 152, 0, 8, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 408797
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '600.2.d.g', 'target_level': 600, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 408798
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '600.2.d.g', 'target_level': 600, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 408799
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '600.2.d.h', 'target_level': 600, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 408800
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '600.2.d.h', 'target_level': 600, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 408801
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '600.2.k.d', 'target_level': 600, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 408802
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '600.2.k.d', 'target_level': 600, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408803
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '600.2.k.e', 'target_level': 600, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408804
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '600.2.k.e', 'target_level': 600, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 408805
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1800.2.d.s', 'target_level': 1800, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408806
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1800.2.d.s', 'target_level': 1800, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 408807
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1800.2.d.t', 'target_level': 1800, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408808
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1800.2.d.t', 'target_level': 1800, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 408809
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1800.2.k.q', 'target_level': 1800, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 408810
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1800.2.k.q', 'target_level': 1800, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 408811
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1800.2.k.t', 'target_level': 1800, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408812
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1800.2.k.t', 'target_level': 1800, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 408813
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2400.2.d.g', 'target_level': 2400, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408814
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2400.2.d.g', 'target_level': 2400, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 408815
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2400.2.d.h', 'target_level': 2400, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408816
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2400.2.d.h', 'target_level': 2400, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 408817
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2400.2.k.d', 'target_level': 2400, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408818
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2400.2.k.d', 'target_level': 2400, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 408819
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2400.2.k.e', 'target_level': 2400, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 408820
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2400.2.k.e', 'target_level': 2400, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408821
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '7200.2.d.s', 'target_level': 7200, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 408822
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '7200.2.d.s', 'target_level': 7200, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 408823
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '7200.2.d.t', 'target_level': 7200, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 408824
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '7200.2.d.t', 'target_level': 7200, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 408825
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '7200.2.k.r', 'target_level': 7200, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408826
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '7200.2.k.r', 'target_level': 7200, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 408827
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '7200.2.k.s', 'target_level': 7200, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 408828
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 8, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '600.2.k.d', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '7200.2.k.s', 'target_level': 7200, 'twist_class_label': '600.2.k.d', 'twist_class_level': 600, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1103625
{'charpoly_factorization': [[[16, 16, 0, -8, -6, -4, 0, 2, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 2}
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id: 1103626
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 13511486110433880, 'p': 3}
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id: 1103627
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13511486110433880, 'p': 5}
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id: 1103628
{'charpoly_factorization': [[[1, 12, -6, -4, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 7}
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id: 1103629
{'charpoly_factorization': [[[1600, 0, 1344, 0, 336, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 11}
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id: 1103630
{'charpoly_factorization': [[[81, 0, 1420, 0, 502, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 13}
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id: 1103631
{'charpoly_factorization': [[[-24, 104, -40, 0, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 17}
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id: 1103632
{'charpoly_factorization': [[[380689, 0, 75156, 0, 4662, 0, 116, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 19}
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id: 1103633
{'charpoly_factorization': [[[-88, 152, -56, -4, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 23}
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id: 1103634
{'charpoly_factorization': [[[627264, 0, 107584, 0, 6288, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 29}
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id: 1103635
{'charpoly_factorization': [[[673, 204, -70, -4, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 31}
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id: 1103636
{'charpoly_factorization': [[[4096, 0, 24576, 0, 4224, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 37}
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id: 1103637
{'charpoly_factorization': [[[328, 56, -64, 0, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 41}
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id: 1103638
{'charpoly_factorization': [[[4363921, 0, 508692, 0, 18614, 0, 244, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 43}
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id: 1103639
{'charpoly_factorization': [[[-176, -256, -72, 0, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 47}
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id: 1103640
{'charpoly_factorization': [[[23104, 0, 425920, 0, 19536, 0, 256, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 53}
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id: 1103641
{'charpoly_factorization': [[[31181056, 0, 2477824, 0, 57824, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 59}
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id: 1103642
{'charpoly_factorization': [[[3025, 0, 216396, 0, 14838, 0, 236, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 61}
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id: 1103643
{'charpoly_factorization': [[[25979409, 0, 1957780, 0, 44598, 0, 372, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 67}
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id: 1103644
{'charpoly_factorization': [[[-536, -72, 96, 20, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 71}
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id: 1103645
{'charpoly_factorization': [[[-432, -864, -168, 8, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 73}
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id: 1103646
{'charpoly_factorization': [[[8080, -864, -184, 8, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 79}
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id: 1103647
{'charpoly_factorization': [[[3873024, 0, 1762048, 0, 44256, 0, 368, 0, 1], 1]], 'hecke_orbit_code': 13511486110433880, 'p': 83}
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id: 1103648
{'charpoly_factorization': [[[10880, 64, -224, 0, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 89}
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id: 1103649
{'charpoly_factorization': [[[8881, -348, -202, 4, 1], 2]], 'hecke_orbit_code': 13511486110433880, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 4, 'label': '600.2.k.d', 'level': 600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 143849000
{'hecke_orbit_code': 13511486110433880, 'n': 1, 'trace_an': 8}
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id: 143849001
{'hecke_orbit_code': 13511486110433880, 'n': 2, 'trace_an': -2}
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id: 143849002
{'hecke_orbit_code': 13511486110433880, 'n': 3, 'trace_an': 0}
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id: 143849003
{'hecke_orbit_code': 13511486110433880, 'n': 4, 'trace_an': 4}
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id: 143849004
{'hecke_orbit_code': 13511486110433880, 'n': 5, 'trace_an': 0}
-
id: 143849005
{'hecke_orbit_code': 13511486110433880, 'n': 6, 'trace_an': 2}
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id: 143849006
{'hecke_orbit_code': 13511486110433880, 'n': 7, 'trace_an': 8}
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id: 143849007
{'hecke_orbit_code': 13511486110433880, 'n': 8, 'trace_an': 4}
-
id: 143849008
{'hecke_orbit_code': 13511486110433880, 'n': 9, 'trace_an': -8}
-
id: 143849009
{'hecke_orbit_code': 13511486110433880, 'n': 10, 'trace_an': 0}
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id: 143849010
{'hecke_orbit_code': 13511486110433880, 'n': 11, 'trace_an': 0}
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id: 143849011
{'hecke_orbit_code': 13511486110433880, 'n': 12, 'trace_an': 0}
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id: 143849012
{'hecke_orbit_code': 13511486110433880, 'n': 13, 'trace_an': 0}
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id: 143849013
{'hecke_orbit_code': 13511486110433880, 'n': 14, 'trace_an': -6}
-
id: 143849014
{'hecke_orbit_code': 13511486110433880, 'n': 15, 'trace_an': 0}
-
id: 143849015
{'hecke_orbit_code': 13511486110433880, 'n': 16, 'trace_an': 8}
-
id: 143849016
{'hecke_orbit_code': 13511486110433880, 'n': 17, 'trace_an': 0}
-
id: 143849017
{'hecke_orbit_code': 13511486110433880, 'n': 18, 'trace_an': 2}
-
id: 143849018
{'hecke_orbit_code': 13511486110433880, 'n': 19, 'trace_an': 0}
-
id: 143849019
{'hecke_orbit_code': 13511486110433880, 'n': 20, 'trace_an': 0}
-
id: 143849020
{'hecke_orbit_code': 13511486110433880, 'n': 21, 'trace_an': 0}
-
id: 143849021
{'hecke_orbit_code': 13511486110433880, 'n': 22, 'trace_an': 12}
-
id: 143849022
{'hecke_orbit_code': 13511486110433880, 'n': 23, 'trace_an': 8}
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id: 143849023
{'hecke_orbit_code': 13511486110433880, 'n': 24, 'trace_an': -8}
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