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mf_newforms • Show schema
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{'Nk2': 2304, 'analytic_conductor': 4.59938315642575, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [576, 3, [127, 325, 65], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 193, 'conrey_indexes': [193, 385], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, -4, 1]], [7, [4, 2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525747180962368, 'hecke_ring_generator_nbound': 3, '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': '576.2.i.h', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '288.2.i.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\zeta_{6})q^{3}+4\\zeta_{6}q^{5}+(-2+2\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '576.2.i', 'trace_display': [0, 3, 4, -2], 'trace_hash': 258864939865289765, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.882', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.101', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.403', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.748', 'prec': 17}, {'__RealLiteral__': 0, 'data': '90.060', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [2, 0, 3, 0, 4, 0, -2, 0, 3, 0, 5, 0, -2, 0, 0, 0, -6, 0, 2, 0, -6, 0, -6, 0, -11, 0, 0, 0, -2, 0, -4, 0, 15, 0, -16, 0, 16, 0, 0, 0, -1, 0, 7, 0, -12, 0, 2, 0, 3, 0, -9, 0, 8, 0, 40, 0, 3, 0, -5, 0, 0, 0, -12, 0, 8, 0, 13, 0, 0, 0, -16, 0, 6, 0, -33, 0, 10, 0, 8, 0, -9, 0, -12, 0, -12, 0, -6, 0, -20, 0, 8, 0, 0, 0, 4, 0, 11, 0, 30, 0, 12, 0, 6, 0, -24, 0, 10, 0, -16, 0, 24, 0, 2, 0, 24, 0, 6, 0, 6, 0, -14, 0, 0, 0, -48, 0, -4, 0, 21, 0, -16, 0, -2, 0, -36, 0, 3, 0, 13, 0, 6, 0, -20, 0, -16, 0, 0, 0, -18, 0, -18, 0, -9, 0, 16, 0, 20, 0, 12, 0, 24, 0, -40, 0, 60, 0, -16, 0, 9, 0, 3, 0, 18, 0, -22, 0, 0, 0, 24, 0, -4, 0, 0, 0, 32, 0, -15, 0, -18, 0, -6, 0, 3, 0, 24, 0, -8, 0, -4, 0, 0, 0, -4, 0, 4, 0, 18, 0, 5, 0, -28, 0, -24, 0, 56, 0, 16, 0, 9, 0, 6, 0, -14, 0, -66, 0, -3, 0, 14, 0, 0, 0, -42, 0, 16, 0, 24, 0, 6, 0, 23, 0, -27, 0, -12, 0, -2, 0, -36, 0, -42, 0, -60, 0, 0, 0, 5, 0, -16, 0, -12, 0, 6, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 1], [0, 0], [0, 4], [0, 0], [-2, 2], [0, 0], [0, 3], [0, 0], [5, -5], [0, 0], [0, -2], [0, 0], [-4, 8], [0, 0], [-3, 0], [0, 0], [1, 0], [0, 0], [-4, 2], [0, 0], [0, -6], [0, 0], [-11, 11], [0, 0], [-3, 6], [0, 0], [-2, 2], [0, 0], [0, -4], [0, 0], [10, -5], [0, 0], [-8, 0], [0, 0], [8, 0], [0, 0], [2, -4], [0, 0], [0, -1], [0, 0], [7, -7], [0, 0], [-12, 12], [0, 0], [2, -2], [0, 0], [0, 3], [0, 0], [-3, -3], [0, 0], [4, 0], [0, 0], [20, 0], [0, 0], [1, 1], [0, 0], [0, -5], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [8, -8], [0, 0], [0, 13], [0, 0], [6, -12], [0, 0], [-8, 0], [0, 0], [3, 0], [0, 0], [-22, 11], [0, 0], [0, 10], [0, 0], [8, -8], [0, 0], [-9, 9], [0, 0], [-12, 12], [0, 0], [0, -12], [0, 0], [-4, 2], [0, 0], [-10, 0], [0, 0], [4, 0], [0, 0], [4, -8], [0, 0], [0, 4], [0, 0], [11, -11], [0, 0], [15, 0], [0, 0]], 'ap': [[0, 0], [1, 1], [0, 4], [-2, 2], [5, -5], [0, -2], [-3, 0], [1, 0], [0, -6], [-2, 2], [0, -4], [8, 0], [0, -1], [7, -7], [2, -2], [4, 0], [0, -5], [0, 0], [0, 13], [-8, 0], [3, 0], [8, -8], [-12, 12], [-10, 0], [11, -11], [12, -12], [0, 6], [5, 0], [-8, 0], [0, 2], [-2, 0], [0, -16], [3, -3], [0, 13], [0, -18], [-18, 18], [0, 20], [-20, 0], [0, -16], [18, -18], [12, 0], [-2, 0], [-6, 6], [0, 3], [-4, 0], [-2, 0], [0, -28], [-14, 14], [-3, 3], [0, 14], [-21, 0], [0, 6], [23, -23], [-21, 0], [0, 5], [6, -6], [0, 0], [12, 0], [-14, 14], [18, -18], [0, 28], [0, 30], [-9, 0], [0, 18], [-13, 13], [18, -18], [4, -4], [0, 25], [0, 1], [16, -16], [-35, 35], [14, 0], [0, 0], [0, -22], [1, 0], [0, 20], [-6, 6], [32, 0], [0, -5], [0, -25], [0, -4], [8, -8], [-30, 0], [1, 0], [-8, 8], [27, -27], [-31, 0], [7, -7], [-18, 18], [0, -16], [7, 0], [18, -18], [-22, 0], [0, -7], [0, -21], [-24, 0], [0, 24], [-3, 0], [-12, 0], [32, 0], [-33, 33], [-10, 0], [0, -15], [11, -11], [0, -13], [3, 0], [-9, 9], [6, 0], [0, -40], [-19, 19], [0, 20], [-12, 0], [0, 45], [-21, 21], [28, 0], [-5, 5], [0, 15], [-6, 0], [0, -22], [12, -12], [0, 32], [-2, 2], [-28, 28], [-15, 0], [8, -8], [-42, 0], [-20, 20], [-32, 0], [-30, 30], [0, -34], [49, 0], [0, -6], [0, -52], [-18, 0], [0, 30], [0, -10], [42, 0], [0, 36], [0, 24], [17, 0], [55, 0], [-50, 50], [0, 28], [28, 0], [-14, 0], [-4, 4], [30, -30], [10, -10], [0, -5], [28, 0], [0, 40], [30, 0], [-13, 0], [0, 36], [-7, 7], [-24, 24], [-54, 0], [6, -6], [-58, 0], [0, -28], [27, -27], [-39, 0], [0, -42], [-20, 0], [0, 11], [36, -36], [16, 0], [60, -60]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 31525747180962368, 'hecke_ring_character_values': [[127, [1, 0]], [325, [1, 0]], [65, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '576.2.i.h', 'level': 576, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2304, 'analytic_conductor': 4.59938315642575, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [576, 3, [127, 325, 65], [3, 3, 1]], 'conrey_index': 193, 'cusp_dim': 168, 'dim': 44, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 549789368896, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 8], 'label': '576.2.i', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 216, 'mf_new_dim': 52, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 22, 'sturm_bound': 192, 'trace_bound': 7, 'trace_display': [0, 0, 2, 0], 'traces': [44, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, -8, 0, 0, 0, -2, 0, 0, 0, -16, 0, 0, 0, 2, 0, 0, 0, 18, 0, 0, 0, 8, 0, 0, 0, 6, 0, 0, 0, 18, 0, 0, 0, -12, 0, 0, 0, 56, 0, 0, 0, -24, 0, 0, 0, 2, 0, 0, 0, 18, 0, 0, 0, 22, 0, 0, 0, -8, 0, 0, 0, -26, 0, 0, 0, -28, 0, 0, 0, 12, 0, 0, 0, -40, 0, 0, 0, -74, 0, 0, 0, -2, 0, 0, 0, 26, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, -18, 0, 0, 0, 34, 0, 0, 0, -4, 0, 0, 0, -108, 0, 0, 0, 42, 0, 0, 0, 40, 0, 0, 0, -10, 0, 0, 0, -122, 0, 0, 0, 12, 0, 0, 0, -46, 0, 0, 0, -64, 0, 0, 0, 26, 0, 0, 0, 84, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -46, 0, 0, 0, 10, 0, 0, 0, 8, 0, 0, 0, -12, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -72, 0, 0, 0, 26, 0, 0, 0, -18, 0, 0, 0, -8, 0, 0, 0, -24, 0, 0, 0, 20, 0, 0, 0, 124, 0, 0, 0, -8, 0, 0, 0, 26, 0, 0, 0, -72, 0, 0, 0, 150, 0, 0, 0, -2, 0, 0, 0, -76, 0, 0, 0, -38, 0, 0, 0, -36, 0, 0, 0, 6, 0, 0, 0, -62, 0, 0, 0, -12, 0, 0, 0, 216, 0, 0, 0, 56, 0, 0, 0, 26, 0, 0, 0, 30, 0, 0, 0, 232, 0, 0, 0, -76, 0, 0, 0, 58, 0, 0, 0, 66, 0, 0, 0, -26, 0, 0, 0, 108, 0, 0, 0, 70, 0, 0, 0, 22, 0, 0, 0, 170, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 10, 0, 0, 0, 80, 0, 0, 0, 22, 0, 0, 0, 108, 0, 0, 0, 122, 0, 0, 0, 2, 0, 0, 0, -74, 0, 0, 0, 156, 0, 0, 0, -36, 0, 0, 0, -148, 0, 0, 0, 62, 0, 0, 0, 2, 0, 0, 0, 140, 0, 0, 0, -216, 0, 0, 0, -18, 0, 0, 0, 66, 0, 0, 0, 2, 0, 0, 0, 104, 0, 0, 0, 30, 0, 0, 0, -54, 0, 0, 0, 22, 0, 0, 0, -388, 0, 0, 0, -134, 0, 0, 0, -70, 0, 0, 0, 32, 0, 0, 0, -336, 0, 0, 0, -8, 0, 0, 0, -32, 0, 0, 0, 188, 0, 0, 0, -60, 0, 0, 0, -264, 0, 0, 0, -154, 0, 0, 0, 22, 0, 0, 0, -198, 0, 0, 0, 90, 0, 0, 0, -68, 0, 0, 0, 98, 0, 0, 0, -8, 0, 0, 0, -28, 0, 0, 0, -124, 0, 0, 0, -136, 0, 0, 0, 36, 0, 0, 0, -80, 0, 0, 0, -170, 0, 0, 0, 12, 0, 0, 0, 202, 0, 0, 0, -120, 0, 0, 0, -114, 0, 0, 0, 40, 0, 0, 0, 344, 0, 0, 0, 20, 0, 0, 0, -146, 0, 0, 0, 24, 0, 0, 0, 104, 0, 0, 0, -124, 0, 0, 0, -94, 0, 0, 0, 26, 0, 0, 0, 472, 0, 0, 0, -164, 0, 0, 0, -138, 0, 0, 0, -10, 0, 0, 0, 414, 0, 0, 0, -56, 0, 0, 0, 6, 0, 0, 0, 66, 0, 0, 0, -8, 0, 0, 0, -72, 0, 0, 0, 240, 0, 0, 0, -2, 0, 0, 0, 308, 0, 0, 0, 106, 0, 0, 0, 8, 0, 0, 0, 46, 0, 0, 0, 94, 0, 0, 0, 14, 0, 0, 0, 256, 0, 0, 0, -206, 0, 0, 0, -12, 0, 0, 0, 46, 0, 0, 0, 224, 0, 0, 0, -12, 0, 0, 0, -230, 0, 0, 0, -128, 0, 0, 0, -46, 0, 0, 0, -304, 0, 0, 0, -346, 0, 0, 0, -2, 0, 0, 0, 18, 0, 0, 0, -54, 0, 0, 0, 132, 0, 0, 0, -76, 0, 0, 0, -122, 0, 0, 0, -36, 0, 0, 0, -536, 0, 0, 0, 184, 0, 0, 0, -46, 0, 0, 0, 74, 0, 0, 0, -538, 0, 0, 0, -76, 0, 0, 0, -152, 0, 0, 0, -100, 0, 0, 0, 26, 0, 0, 0, 372, 0, 0, 0, -168, 0, 0, 0, 66, 0, 0, 0, -280, 0, 0, 0, -56, 0, 0, 0, 152, 0, 0, 0, -114, 0, 0, 0, -116, 0, 0, 0, 46, 0, 0, 0, -152, 0, 0, 0, 44, 0, 0, 0, 24, 0, 0, 0, 114, 0, 0, 0, -242, 0, 0, 0, 44, 0, 0, 0, 322, 0, 0, 0, 88, 0, 0, 0, 30, 0, 0, 0, 40, 0, 0, 0, 464, 0, 0, 0, -16, 0, 0, 0, -78, 0, 0, 0, 48, 0, 0, 0, -40, 0, 0, 0, 200, 0, 0, 0, -26, 0, 0, 0, 80, 0, 0, 0, 544, 0, 0, 0, 146, 0, 0, 0, 74, 0, 0, 0, 110, 0, 0, 0, 584, 0, 0, 0, 108, 0, 0, 0, 94, 0, 0, 0, 126, 0, 0, 0, 74, 0, 0, 0, 88, 0, 0, 0, 246, 0, 0, 0, -16, 0, 0, 0, 320, 0, 0, 0, 74, 0, 0, 0, 240, 0, 0, 0, 4, 0, 0, 0, 162, 0, 0, 0, 18, 0, 0, 0, 220, 0, 0, 0, 240, 0, 0, 0, -40, 0, 0, 0, -146, 0, 0, 0, 246, 0, 0, 0, -8, 0, 0, 0, -342, 0, 0, 0, -8, 0, 0, 0, 124, 0, 0, 0, 200, 0, 0, 0, -602, 0, 0, 0, 36, 0, 0, 0, 126, 0, 0, 0, -160, 0, 0, 0, -356, 0, 0, 0, -18, 0, 0, 0, 120, 0, 0, 0, -60, 0, 0, 0, -772, 0, 0, 0, -166, 0, 0, 0, 242, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 392015
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '288.2.i.a', 'target_level': 288, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392016
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '288.2.i.a', 'target_level': 288, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 392017
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '288.2.i.b', 'target_level': 288, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 392018
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '288.2.i.b', 'target_level': 288, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 392019
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '576.2.i.b', 'target_level': 576, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392020
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '576.2.i.b', 'target_level': 576, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 392021
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '576.2.i.h', 'target_level': 576, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 392022
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '576.2.i.h', 'target_level': 576, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 392023
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '864.2.i.a', 'target_level': 864, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392024
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '864.2.i.a', 'target_level': 864, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 392025
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '864.2.i.b', 'target_level': 864, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 392026
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '864.2.i.b', 'target_level': 864, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 392027
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1728.2.i.a', 'target_level': 1728, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392028
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1728.2.i.a', 'target_level': 1728, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 392029
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1728.2.i.b', 'target_level': 1728, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392030
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1728.2.i.b', 'target_level': 1728, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392031
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2592.2.a.a', 'target_level': 2592, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 392032
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2592.2.a.b', 'target_level': 2592, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 392033
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2592.2.a.g', 'target_level': 2592, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 392034
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2592.2.a.h', 'target_level': 2592, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 392035
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5184.2.a.a', 'target_level': 5184, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 392036
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '5184.2.a.b', 'target_level': 5184, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 392037
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '5184.2.a.be', 'target_level': 5184, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392038
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '576.2.i.h', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '5184.2.a.bf', 'target_level': 5184, 'twist_class_label': '288.2.i.a', 'twist_class_level': 288, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1068425
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525747180962368, 'p': 2}
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id: 1068426
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 3}
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id: 1068427
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 5}
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id: 1068428
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 7}
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id: 1068429
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 11}
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id: 1068430
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 13}
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id: 1068431
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 31525747180962368, 'p': 17}
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id: 1068432
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31525747180962368, 'p': 19}
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id: 1068433
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 23}
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id: 1068434
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 29}
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id: 1068435
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 31}
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id: 1068436
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 31525747180962368, 'p': 37}
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id: 1068437
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 41}
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id: 1068438
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 43}
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id: 1068439
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 47}
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id: 1068440
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 31525747180962368, 'p': 53}
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id: 1068441
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 59}
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id: 1068442
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525747180962368, 'p': 61}
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id: 1068443
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 67}
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id: 1068444
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 31525747180962368, 'p': 71}
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id: 1068445
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 31525747180962368, 'p': 73}
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id: 1068446
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 79}
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id: 1068447
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 83}
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id: 1068448
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 31525747180962368, 'p': 89}
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id: 1068449
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 31525747180962368, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 8, 'label': '576.2.i.h', 'level': 576, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 194028000
{'hecke_orbit_code': 31525747180962368, 'n': 1, 'trace_an': 2}
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id: 194028001
{'hecke_orbit_code': 31525747180962368, 'n': 2, 'trace_an': 0}
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id: 194028002
{'hecke_orbit_code': 31525747180962368, 'n': 3, 'trace_an': 3}
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id: 194028003
{'hecke_orbit_code': 31525747180962368, 'n': 4, 'trace_an': 0}
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id: 194028004
{'hecke_orbit_code': 31525747180962368, 'n': 5, 'trace_an': 4}
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id: 194028005
{'hecke_orbit_code': 31525747180962368, 'n': 6, 'trace_an': 0}
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id: 194028006
{'hecke_orbit_code': 31525747180962368, 'n': 7, 'trace_an': -2}
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id: 194028007
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