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mf_newforms • Show schema
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{'Nk2': 720, 'analytic_conductor': 1.4373072363830468, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 60, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [180, 2, [91, 101, 37], [1, 1, 1]], 'cm_discs': [-4], 'conrey_index': 179, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 481069891764, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 12, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 20, 4, -1, 2, 0], [1, 1, 60, 8, 1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '180.2.h.a', 'level': 180, 'level_is_powerful': False, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '180.2.h.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 8, 'qexp_display': 'q+\\beta_{3} q^{2}+2 q^{4}-\\beta_{2} q^{5}+2\\beta_{3} q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '180.2.h', 'trace_display': [0, 0, 0, 0], 'trace_hash': 642161565230722454, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.461', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '158.650', 'prec': 24}, {'__RealLiteral__': 0, 'data': '122.382', 'prec': 24}, {'__RealLiteral__': 0, 'data': '8195.711', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.885', 'prec': 17}, 'traces': [4, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 40, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [-1, -1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, -5], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 1, 0, 0], [0, 0, 4, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [-10, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, -2, 0, 0], [0, 0, 6, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-7, 0, 0, 0], [0, 0, 2, -5], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 5], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [10, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, -2, 10], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -10], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, -8, 4], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5, 5, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 2, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, -7], [0, 0, 0, 0], [-8, 2, 0, 0]], 'ap': [[0, 0, 0, 1], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, -5], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 1], [0, 0, 0, 0], [0, -4, 0, 0], [0, 0, 6, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 5], [0, 0, 0, 0], [10, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 2, -1], [0, -6, 0, 0], [0, 0, -6, 3], [0, 0, 0, 0], [0, 0, 0, 0], [20, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -7], [0, 0, 0, 0], [0, 0, 2, -1], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -11], [0, 0, 0, 0], [-20, 0, 0, 0], [0, 0, 0, 0], [0, 8, 0, 0], [0, 0, 0, -13], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 5], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 17], [0, 0, 0, 0], [0, 0, -2, 1], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 14, -7], [0, 0, 0, 0], [0, 0, 0, 19], [0, 0, 0, 0], [0, 0, 0, 0], [0, -8, 0, 0], [0, 0, 0, 25], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [-10, 0, 0, 0], [0, 0, 0, -25], [0, 0, 0, 0], [0, 0, 0, 0], [0, -12, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 18, -9], [0, 4, 0, 0], [0, 0, 14, -7], [-40, 0, 0, 0], [0, 0, 0, 0], [-28, 0, 0, 0], [0, 0, 0, 0], [0, -8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -18, 9], [0, 14, 0, 0], [0, 0, 6, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -18, 9], [0, 0, 6, -3], [0, 0, 0, 0], [-20, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -5], [0, 0, 0, 0], [0, 0, -22, 11], [0, 0, 0, 0], [0, 16, 0, 0], [0, 0, 0, 0], [0, 0, 0, 31], [0, 0, 0, 0], [10, 0, 0, 0], [0, 0, 0, 0], [0, 12, 0, 0], [0, 0, 0, -35], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -14, 7], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 35], [0, 0, 0, 0], [-50, 0, 0, 0], [0, 8, 0, 0], [0, 0, 0, 25], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -14, 7], [-44, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -18, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 26, -13], [50, 0, 0, 0], [0, 0, 0, 5], [0, 0, 0, 0], [0, 0, 0, -37], [0, 0, -22, 11], [0, 0, 0, 0], [0, 0, -26, 13], [0, 0, 0, 0], [0, 0, 0, 0], [20, 0, 0, 0], [0, 0, 0, 0], [0, -12, 0, 0], [0, 0, 0, 25], [0, 0, 0, 0], [0, 0, 0, 0], [0, -4, 0, 0], [0, 0, -6, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 2, -1], [0, -16, 0, 0], [0, 0, -26, 13], [0, 0, 0, 0], [0, 0, 0, -41], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -35], [0, 0, 0, 0], [0, 0, 0, 0], [0, -4, 0, 0]], 'char_orbit_index': 8, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 481069891764, 'hecke_ring_character_values': [[91, [-1, 0, 0, 0]], [101, [-1, 0, 0, 0]], [37, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 1, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 3, 0], [0, 2, 0, 1], [0, 1, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '180.2.h.a', 'level': 180, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 720, 'analytic_conductor': 1.4373072363830468, 'char_conductor': 60, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [180, 2, [91, 101, 37], [1, 1, 1]], 'conrey_index': 179, 'cusp_dim': 28, 'dim': 12, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 481069891764, 'hecke_orbit_dims': [4, 8], 'label': '180.2.h', 'level': 180, 'level_is_powerful': False, '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, 3, 5], 'level_radical': 30, 'mf_dim': 44, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 8, 'relative_dim': 12, 'sturm_bound': 72, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 40, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 76, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 120, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -80, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 104, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 120, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 120, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -184, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, -120, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 80, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 80, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 40, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, -164, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -200, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, -160, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, -120, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -280, 0, 0, -80, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -440, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, -120, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 212, 0, 0, 120, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -80, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, -272, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 240, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 32, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 440, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 212], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 149206
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.h.a', 'target_level': 180, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 149207
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.h.a', 'target_level': 180, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 149208
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -4, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.h.a', 'target_level': 180, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 149209
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.h.a', 'target_level': 180, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 149210
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.h.a', 'target_level': 180, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 149211
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.h.a', 'target_level': 180, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 149212
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.h.a', 'target_level': 180, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 149213
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.h.a', 'target_level': 180, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 149214
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.2.e.a', 'target_level': 900, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 149215
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.2.e.a', 'target_level': 900, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 149216
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.2.e.a', 'target_level': 900, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 149217
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.2.e.a', 'target_level': 900, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 149218
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.2.e.c', 'target_level': 900, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 149219
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.2.e.c', 'target_level': 900, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 149220
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.2.e.c', 'target_level': 900, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 149221
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.2.e.c', 'target_level': 900, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 149222
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2880.2.o.a', 'target_level': 2880, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 149223
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2880.2.o.a', 'target_level': 2880, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 149224
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2880.2.o.a', 'target_level': 2880, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 149225
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2880.2.o.a', 'target_level': 2880, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 149226
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2880.2.o.a', 'target_level': 2880, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 149227
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2880.2.o.a', 'target_level': 2880, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 149228
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2880.2.o.a', 'target_level': 2880, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 149229
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.2.h.a', 'source_level': 180, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2880.2.o.a', 'target_level': 2880, 'twist_class_label': '180.2.h.a', 'twist_class_level': 180, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 458975
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 2}
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id: 458976
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 3}
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id: 458977
{'charpoly_factorization': [[[25, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 481069891764, 'p': 5}
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id: 458978
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 7}
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id: 458979
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 11}
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id: 458980
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 13}
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id: 458981
{'charpoly_factorization': [[[-50, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 17}
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id: 458982
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 19}
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id: 458983
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 23}
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id: 458984
{'charpoly_factorization': [[[18, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 29}
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id: 458985
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 31}
-
id: 458986
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 37}
-
id: 458987
{'charpoly_factorization': [[[162, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 41}
-
id: 458988
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 43}
-
id: 458989
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 47}
-
id: 458990
{'charpoly_factorization': [[[-50, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 53}
-
id: 458991
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 59}
-
id: 458992
{'charpoly_factorization': [[[-10, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 61}
-
id: 458993
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 67}
-
id: 458994
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 71}
-
id: 458995
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 73}
-
id: 458996
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 79}
-
id: 458997
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891764, 'p': 83}
-
id: 458998
{'charpoly_factorization': [[[18, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 89}
-
id: 458999
{'charpoly_factorization': [[[324, 0, 1], 2]], 'hecke_orbit_code': 481069891764, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '180.2.h.a', 'level': 180, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 9303288
{'hecke_orbit_code': 481069891764, 'n': 1, 'trace_an': 4}
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