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mf_newforms • Show schema
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{'Nk2': 2880, 'analytic_conductor': 5.749228945532187, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [720, 3, [271, 181, 641, 577], [3, 3, 2, 3]], 'cm_discs': [], 'conrey_index': 241, 'conrey_indexes': [241, 481], 'dim': 6, 'field_disc': -954288, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [47, 2]], 'field_poly': [27, -9, -6, 3, -2, -1, 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, [9, 9, 24, -21, 22, -5, 1]], [11, [144, 96, 88, 8, 12, 2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029896564146896, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '720.2.q.i', 'level': 720, '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': '45.2.e.b', 'nf_label': '6.0.954288.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{4}q^{3}+\\beta _{3}q^{5}+(2-\\beta _{1}+\\beta _{2}+2\\beta _{3}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '720.2.q', 'trace_display': [0, -1, -3, 5], 'trace_hash': 960553058567998788, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.845', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '139.239', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6080.743', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [6, 0, -1, 0, -3, 0, 5, 0, -7, 0, -2, 0, -4, 0, -1, 0, -4, 0, -8, 0, 0, 0, 3, 0, -3, 0, 2, 0, 7, 0, 8, 0, 20, 0, -10, 0, 12, 0, 14, 0, 13, 0, 10, 0, 2, 0, 13, 0, 2, 0, 4, 0, -4, 0, 4, 0, -2, 0, -2, 0, -1, 0, -33, 0, -4, 0, 11, 0, 39, 0, 20, 0, -16, 0, 2, 0, 0, 0, 2, 0, -19, 0, -15, 0, 2, 0, 26, 0, -18, 0, -20, 0, -42, 0, 4, 0, 18, 0, -22, 0, -6, 0, 6, 0, -9, 0, -30, 0, 6, 0, 16, 0, -16, 0, 3, 0, -4, 0, 0, 0, 13, 0, 5, 0, 6, 0, -26, 0, -32, 0, -18, 0, -10, 0, -19, 0, 12, 0, 24, 0, 20, 0, -32, 0, -14, 0, -44, 0, 13, 0, 22, 0, -14, 0, 8, 0, 18, 0, 22, 0, 18, 0, -84, 0, -4, 0, 33, 0, 15, 0, 28, 0, -36, 0, 5, 0, 14, 0, 28, 0, -18, 0, 26, 0, -6, 0, 20, 0, -39, 0, -40, 0, 12, 0, -16, 0, -48, 0, 16, 0, 57, 0, 3, 0, 13, 0, 6, 0, -16, 0, 18, 0, 28, 0, -20, 0, -52, 0, -40, 0, -16, 0, -9, 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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, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [2, -1, 1, 2, -1, -1], [0, 0, 0, 0, 0, 0], [-1, -1, 1, 1, 0, -2], [0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 1, -1], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [-2, 1, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0], [1, -2, -1, 2, -1, -1], [0, 0, 0, 0, 0, 0], [0, 1, 2, 0, 2, -1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [2, 0, -2, 4, 2, 1], [0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 2, 2], [0, 0, 0, 0, 0, 0], [0, -4, -1, -2, -1, -3], [0, 0, 0, 0, 0, 0], [2, 1, -2, -2, 1, 1], [0, 0, 0, 0, 0, 0], [-2, 0, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [2, 1, 2, 0, -1, -1], [0, 0, 0, 0, 0, 0], [4, -1, -1, 2, 0, 2], [0, 0, 0, 0, 0, 0], [0, -2, 1, -3, 1, -3], [0, 0, 0, 0, 0, 0], [2, 3, -3, 2, 2, 2], [0, 0, 0, 0, 0, 0], [-1, 1, -2, -2, 1, 1], [0, 0, 0, 0, 0, 0], [6, -4, 4, 6, -3, -3], [0, 0, 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3], [14, -10, 10, 14, 0, 0], [-21, -1, 2, 0, -3, 1], [-17, -8, 8, -17, -6, -6], [0, 0, -6, 0, 6, 0], [-10, 6, -6, -10, -3, -3], [0, 0, 0, -22, 0, 0], [-8, -2, 6, 0, -8, 2], [0, -1, 12, -6, 12, -13], [0, 10, 1, 10, 1, 9], [2, 13, 16, 0, -3, -13], [0, 10, -4, -3, -4, 14], [0, 10, -4, 11, -4, 14], [36, -4, 4, 0, -8, 4], [0, 2, 3, -26, 3, -1], [0, -14, -5, -12, -5, -9], [12, -6, -2, 0, -4, 6], [-2, -4, -12, 0, 8, 4], [-3, 7, -7, -3, 14, 14], [0, -7, -5, -2, -5, -2], [-36, 5, 5, 0, 0, -5], [-19, 5, -10, 0, 15, -5], [-30, 3, -3, -30, 4, 4], [4, -5, 5, 4, -2, -2], [6, 5, -5, 6, 8, 8], [0, -14, 1, 10, 1, -15], [0, -9, -7, 0, -2, 9], [0, 8, 15, -10, 15, -7], [-3, 3, -10, 0, 13, -3], [4, -3, 3, 0, -6, 3], [0, -6, -3, -30, -3, -3], [-4, 6, -6, -4, 1, 1], [24, 12, -12, 24, 14, 14], [-2, 14, -4, 0, 18, -14], [6, -6, 6, 6, 8, 8], [14, 0, -14, 0, 14, 0], [0, -2, 10, 15, 10, -12], [6, 14, -14, 6, 19, 19], [-12, -5, -2, 0, -3, 5], [0, 3, 6, 4, 6, -3], [-30, -1, -8, 0, 7, 1], [0, -6, 7, 24, 7, -13], [0, -9, 9, 0, 3, 3], [28, 2, -2, 0, 4, -2], [-20, -10, 10, -20, -18, -18]], 'char_orbit_index': 17, 'field_poly': [27, -9, -6, 3, -2, -1, 1], 'hecke_orbit_code': 36029896564146896, 'hecke_ring_character_values': [[271, [1, 0, 0, 0, 0, 0]], [181, [1, 0, 0, 0, 0, 0]], [641, [0, 0, 0, 1, 0, 0]], [577, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 27, 27, 9, 27], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [2, 0, 1, 1, -1, 1], [-2, 0, 2, -4, -2, -1], [5, 0, 4, 1, 2, -2], [4, 6, -4, -10, 1, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-45, -6, 9, 1, 5, 1], [9, 12, 0, -2, -1, -2], [-18, -6, 0, -2, 2, 1], [-72, -24, 18, -5, 2, 4]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '720.2.q.i', 'level': 720, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2880, 'analytic_conductor': 5.749228945532187, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [720, 3, [271, 181, 641, 577], [3, 3, 2, 3]], 'conrey_index': 241, 'cusp_dim': 264, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1099545182928, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 8], 'label': '720.2.q', 'level': 720, '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': 312, 'mf_new_dim': 48, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 288, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 12, 0, -24, 0, 12, 0, -4, 0, -12, 0, 12, 0, 24, 0, 0, 0, 36, 0, 4, 0, -12, 0, -8, 0, 20, 0, -24, 0, 8, 0, 0, 0, 0, 0, -12, 0, -12, 0, 0, 0, -40, 0, 0, 0, 0, 0, -28, 0, -24, 0, 24, 0, 0, 0, -16, 0, 0, 0, -8, 0, -56, 0, 0, 0, -60, 0, -24, 0, 24, 0, -8, 0, 16, 0, -12, 0, 76, 0, 32, 0, 0, 0, -4, 0, 72, 0, 0, 0, 108, 0, -8, 0, 0, 0, 64, 0, 36, 0, -36, 0, -60, 0, 0, 0, 24, 0, -20, 0, -16, 0, 0, 0, -12, 0, 20, 0, 12, 0, -20, 0, -152, 0, 0, 0, -96, 0, 32, 0, 12, 0, 60, 0, -24, 0, 0, 0, -16, 0, 64, 0, 0, 0, 0, 0, 32, 0, -24, 0, 56, 0, -48, 0, 0, 0, 8, 0, 56, 0, 24, 0, 8, 0, 0, 0, 0, 0, -32, 0, 4, 0, -12, 0, -32, 0, -80, 0, -24, 0, -40, 0, -92, 0, -12, 0, -44, 0, -44, 0, -36, 0, -112, 0, -56, 0, 0, 0, -116, 0, -24, 0, -48, 0, -8, 0, -24, 0, -12, 0, -132, 0, -88, 0, -24, 0, 120, 0, 32, 0, -12, 0, 120, 0, -4, 0, -84, 0, -84, 0, -16, 0, 0, 0, -24, 0, -28, 0, -84, 0, 88, 0, 112, 0, 0, 0, 60, 0, 192, 0, 72, 0, -32, 0, 0, 0, 0, 0, 8, 0, 24, 0, -12, 0, 16, 0, -32, 0, 24, 0, -132, 0, 32, 0, 0, 0, 108, 0, -28, 0, -12, 0, 136, 0, -8, 0, 240, 0, 84, 0, -44, 0, 12, 0, 28, 0, -8, 0, 36, 0, 60, 0, 208, 0, 0, 0, 88, 0, 84, 0, 48, 0, -40, 0, 36, 0, 12, 0, -8, 0, -64, 0, 168, 0, -20, 0, 12, 0, -12, 0, -12, 0, -12, 0, 0, 0, -40, 0, 8, 0, 72, 0, 108, 0, 0, 0, 0, 0, -44, 0, 64, 0, 0, 0, 0, 0, -48, 0, -72, 0, -60, 0, 128, 0, 0, 0, 76, 0, 96, 0, 12, 0, -128, 0, 96, 0, 0, 0, 72, 0, -76, 0, -36, 0, 64, 0, -60, 0, 12, 0, 140, 0, -80, 0, -72, 0, 144, 0, -36, 0, 0, 0, 0, 0, -4, 0, -72, 0, -16, 0, 160, 0, 72, 0, 60, 0, -24, 0, -144, 0, 92, 0, -124, 0, 0, 0, -56, 0, 248, 0, 0, 0, 8, 0, 40, 0, -12, 0, -40, 0, -100, 0, -36, 0, 24, 0, -88, 0, 24, 0, 216, 0, 44, 0, 0, 0, -168, 0, -24, 0, -24, 0, -260, 0, 32, 0, 120, 0, 52, 0, 108, 0, 0, 0, -32, 0, -24, 0, -84, 0, -56, 0, -336, 0, 0, 0, -80, 0, -20, 0, 24, 0, -72, 0, -36, 0, 0, 0, -40, 0, -208, 0, 120, 0, 4, 0, -92, 0, -24, 0, -52, 0, 56, 0, 12, 0, -120, 0, -40, 0, 72, 0, -240, 0, 20, 0, 0, 0, 68, 0, -148, 0, -24, 0, -104, 0, 64, 0, 0, 0, 52, 0, -180, 0, -24, 0, 8, 0, 124, 0, 132, 0, 176, 0, -24, 0, -24, 0, 12, 0, 88, 0, 96, 0, 48, 0, 80, 0, -24, 0, -264, 0, 160, 0, 0, 0, -96, 0, 56, 0, -36, 0, 16, 0, 32, 0, -36, 0, 60, 0, -392, 0, 96, 0, -92, 0, -12, 0, -48, 0, -76, 0, 152, 0, -24, 0, 140, 0, -208, 0, -192, 0, 88, 0, -60, 0, -48, 0, 12, 0, -84, 0, -84, 0, 4, 0, 176, 0, -168, 0, -148, 0, -184, 0, 0, 0, -180, 0, 56, 0, -72, 0, 340, 0, 48, 0, -192, 0, -148, 0, -148, 0, 72, 0, 12, 0, 56, 0, -72, 0, -100, 0, 232, 0, 0, 0, -36, 0, -104, 0, -48, 0, 168, 0, 48, 0, 60, 0, 136, 0, 144, 0, 24, 0, 32, 0, 172, 0, -36, 0, 144, 0, 40, 0, 36, 0, -64, 0, 176, 0, 24, 0, 372, 0, -4, 0, -84, 0, 64, 0, 188, 0, -48, 0, 156, 0, -24, 0, 24, 0, -136, 0, 112, 0, 12, 0, -48, 0, -232, 0, 108, 0, 148, 0, 144, 0, 0, 0, -36, 0, 140, 0, 204, 0, -64, 0, -120, 0, 84, 0, 160, 0, -160, 0, 24, 0, -176, 0, 104, 0, -48, 0, 36, 0, 24, 0, 72, 0, -128, 0, 432, 0, 48, 0, 144, 0, 72, 0, 108, 0, -120, 0, -148, 0, -12, 0, -152, 0, -280, 0, -216, 0, 40, 0, 60, 0, 84, 0, -100, 0, 48, 0, 36, 0, 0, 0, -288, 0, -96, 0, 168, 0, -172, 0, 0, 0, 208, 0, -52, 0, -12, 0, -392, 0, 0, 0, -360, 0, -100, 0, 156, 0, 72, 0, -32, 0, -48, 0, -48, 0, 356, 0, -224, 0, 0, 0, 0, 0, 136, 0, -60, 0, -16, 0, -12, 0, 72, 0, -4, 0, 48, 0, -72, 0, -88, 0, -184, 0, 12, 0, -236, 0, 56, 0, 0, 0, 48, 0, -120, 0, 144, 0, -488, 0, -24, 0, -60, 0, 32, 0, -280, 0, 0, 0, -156, 0, 272, 0, 240, 0, -60, 0, -188, 0, 0, 0, 112, 0, -120, 0, -12, 0, 72, 0, -136, 0, -144, 0, 28, 0, -116, 0, 108, 0, -100, 0, 216, 0, 72, 0, -432, 0, -168, 0, 96, 0, 0, 0, -128, 0, -48, 0, -96, 0, -32, 0, 204, 0, -68, 0, -520, 0, 96, 0, -36, 0, 100, 0, 180, 0, 4, 0, 140, 0, 0, 0, 212, 0, 56, 0, 0, 0, 8, 0, -64, 0, 72, 0, 168, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 464684
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '45.2.e.b', 'target_level': 45, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 464685
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '45.2.e.b', 'target_level': 45, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 464686
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '135.2.e.b', 'target_level': 135, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 464687
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '135.2.e.b', 'target_level': 135, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 464688
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.2.e.b', 'target_level': 225, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 464689
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.2.e.b', 'target_level': 225, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 464690
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.2.k.b', 'target_level': 225, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 464691
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.2.k.b', 'target_level': 225, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 464692
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '405.2.a.i', 'target_level': 405, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 464693
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '405.2.a.j', 'target_level': 405, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 464694
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.2.e.b', 'target_level': 675, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 464695
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.2.e.b', 'target_level': 675, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 464696
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.2.k.b', 'target_level': 675, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 464697
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.2.k.b', 'target_level': 675, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 464698
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '720.2.q.i', 'target_level': 720, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 464699
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '720.2.q.i', 'target_level': 720, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 464700
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2025.2.a.n', 'target_level': 2025, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 464701
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2025.2.a.o', 'target_level': 2025, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 464702
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2025.2.b.l', 'target_level': 2025, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 464703
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2025.2.b.m', 'target_level': 2025, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 464704
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2160.2.q.k', 'target_level': 2160, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 464705
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2160.2.q.k', 'target_level': 2160, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 464706
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '6480.2.a.bs', 'target_level': 6480, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 464707
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '720.2.q.i', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '6480.2.a.bv', 'target_level': 6480, 'twist_class_label': '45.2.e.b', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1242550
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 36029896564146896, 'p': 2}
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id: 1242551
{'charpoly_factorization': [[[27, 9, 12, 3, 4, 1, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 3}
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id: 1242552
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 36029896564146896, 'p': 5}
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id: 1242553
{'charpoly_factorization': [[[9, 9, 24, -21, 22, -5, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 7}
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id: 1242554
{'charpoly_factorization': [[[144, 96, 88, 8, 12, 2, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 11}
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id: 1242555
{'charpoly_factorization': [[[16, 16, 32, -8, 20, 4, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 13}
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id: 1242556
{'charpoly_factorization': [[[-12, -8, 2, 1], 2]], 'hecke_orbit_code': 36029896564146896, 'p': 17}
-
id: 1242557
{'charpoly_factorization': [[[-4, -4, 4, 1], 2]], 'hecke_orbit_code': 36029896564146896, 'p': 19}
-
id: 1242558
{'charpoly_factorization': [[[13689, -3861, 1440, -135, 42, -3, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 23}
-
id: 1242559
{'charpoly_factorization': [[[2601, -1479, 1198, 101, 78, -7, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 29}
-
id: 1242560
{'charpoly_factorization': [[[219024, -28080, 7344, -456, 124, -8, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 31}
-
id: 1242561
{'charpoly_factorization': [[[4, -12, -6, 1], 2]], 'hecke_orbit_code': 36029896564146896, 'p': 37}
-
id: 1242562
{'charpoly_factorization': [[[9, -57, 322, -241, 150, -13, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 41}
-
id: 1242563
{'charpoly_factorization': [[[16, -16, 56, 32, 104, -10, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 43}
-
id: 1242564
{'charpoly_factorization': [[[136161, -4059, 4918, -595, 180, -13, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 47}
-
id: 1242565
{'charpoly_factorization': [[[-24, -20, 2, 1], 2]], 'hecke_orbit_code': 36029896564146896, 'p': 53}
-
id: 1242566
{'charpoly_factorization': [[[576, 480, 448, 8, 24, 2, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 59}
-
id: 1242567
{'charpoly_factorization': [[[5041, -2627, 1298, -179, 38, 1, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 61}
-
id: 1242568
{'charpoly_factorization': [[[257049, -19773, 7098, -585, 160, -11, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 67}
-
id: 1242569
{'charpoly_factorization': [[[708, -92, -10, 1], 2]], 'hecke_orbit_code': 36029896564146896, 'p': 71}
-
id: 1242570
{'charpoly_factorization': [[[-128, -64, 8, 1], 2]], 'hecke_orbit_code': 36029896564146896, 'p': 73}
-
id: 1242571
{'charpoly_factorization': [[[576, 2016, 7008, 216, 88, -2, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 79}
-
id: 1242572
{'charpoly_factorization': [[[6561, -2187, 1944, 567, 198, 15, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 83}
-
id: 1242573
{'charpoly_factorization': [[[3, 1], 6]], 'hecke_orbit_code': 36029896564146896, 'p': 89}
-
id: 1242574
{'charpoly_factorization': [[[1700416, -46944, 24768, -1960, 360, -18, 1], 1]], 'hecke_orbit_code': 36029896564146896, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 9, 'label': '720.2.q.i', 'level': 720, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 202481000
{'hecke_orbit_code': 36029896564146896, 'n': 1, 'trace_an': 6}
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id: 202481001
{'hecke_orbit_code': 36029896564146896, 'n': 2, 'trace_an': 0}
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id: 202481002
{'hecke_orbit_code': 36029896564146896, 'n': 3, 'trace_an': -1}
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id: 202481003
{'hecke_orbit_code': 36029896564146896, 'n': 4, 'trace_an': 0}
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id: 202481004
{'hecke_orbit_code': 36029896564146896, 'n': 5, 'trace_an': -3}
-
id: 202481005
{'hecke_orbit_code': 36029896564146896, 'n': 6, 'trace_an': 0}
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id: 202481006
{'hecke_orbit_code': 36029896564146896, 'n': 7, 'trace_an': 5}
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id: 202481007
{'hecke_orbit_code': 36029896564146896, 'n': 8, 'trace_an': 0}
-
id: 202481008
{'hecke_orbit_code': 36029896564146896, 'n': 9, 'trace_an': -7}
-
id: 202481009
{'hecke_orbit_code': 36029896564146896, 'n': 10, 'trace_an': 0}
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id: 202481010
{'hecke_orbit_code': 36029896564146896, 'n': 11, 'trace_an': -2}
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id: 202481011
{'hecke_orbit_code': 36029896564146896, 'n': 12, 'trace_an': 0}
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id: 202481012
{'hecke_orbit_code': 36029896564146896, 'n': 13, 'trace_an': -4}
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id: 202481013
{'hecke_orbit_code': 36029896564146896, 'n': 14, 'trace_an': 0}
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id: 202481014
{'hecke_orbit_code': 36029896564146896, 'n': 15, 'trace_an': -1}
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id: 202481015
{'hecke_orbit_code': 36029896564146896, 'n': 16, 'trace_an': 0}
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id: 202481016
{'hecke_orbit_code': 36029896564146896, 'n': 17, 'trace_an': -4}
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id: 202481017
{'hecke_orbit_code': 36029896564146896, 'n': 18, 'trace_an': 0}
-
id: 202481018
{'hecke_orbit_code': 36029896564146896, 'n': 19, 'trace_an': -8}
-
id: 202481019
{'hecke_orbit_code': 36029896564146896, 'n': 20, 'trace_an': 0}
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id: 202481020
{'hecke_orbit_code': 36029896564146896, 'n': 21, 'trace_an': 0}
-
id: 202481021
{'hecke_orbit_code': 36029896564146896, 'n': 22, 'trace_an': 0}
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id: 202481022
{'hecke_orbit_code': 36029896564146896, 'n': 23, 'trace_an': 3}
-
id: 202481023
{'hecke_orbit_code': 36029896564146896, 'n': 24, 'trace_an': 0}
-
id: 202481024
{'hecke_orbit_code': 36029896564146896, 'n': 25, 'trace_an': -3}
-
id: 202481025
{'hecke_orbit_code': 36029896564146896, 'n': 26, 'trace_an': 0}
-
id: 202481026
{'hecke_orbit_code': 36029896564146896, 'n': 27, 'trace_an': 2}
-
id: 202481027
{'hecke_orbit_code': 36029896564146896, 'n': 28, 'trace_an': 0}
-
id: 202481028
{'hecke_orbit_code': 36029896564146896, 'n': 29, 'trace_an': 7}
-
id: 202481029
{'hecke_orbit_code': 36029896564146896, 'n': 30, 'trace_an': 0}
-
id: 202481030
{'hecke_orbit_code': 36029896564146896, 'n': 31, 'trace_an': 8}
-
id: 202481031
{'hecke_orbit_code': 36029896564146896, 'n': 32, 'trace_an': 0}
-
id: 202481032
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id: 202481993
{'hecke_orbit_code': 36029896564146896, 'n': 994, 'trace_an': 0}
-
id: 202481994
{'hecke_orbit_code': 36029896564146896, 'n': 995, 'trace_an': -8}
-
id: 202481995
{'hecke_orbit_code': 36029896564146896, 'n': 996, 'trace_an': 0}
-
id: 202481996
{'hecke_orbit_code': 36029896564146896, 'n': 997, 'trace_an': -62}
-
id: 202481997
{'hecke_orbit_code': 36029896564146896, 'n': 998, 'trace_an': 0}
-
id: 202481998
{'hecke_orbit_code': 36029896564146896, 'n': 999, 'trace_an': -80}
-
id: 202481999
{'hecke_orbit_code': 36029896564146896, 'n': 1000, 'trace_an': 0}