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mf_newforms • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, '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': [864, 3, [703, 325, 353], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 289, 'conrey_indexes': [289, 577], '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': 1, 'hecke_orbit_code': 549789369184, 'hecke_ring_generator_nbound': 11, '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': '864.2.i.a', 'level': 864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, '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+4\\zeta_{6}q^{5}+(-2+2\\zeta_{6})q^{7}+(5-5\\zeta_{6})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '864.2.i', 'trace_display': [0, 0, 4, -2], 'trace_hash': 601230022784042888, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.879', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.394', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '90.034', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [2, 0, 0, 0, 4, 0, -2, 0, 0, 0, 5, 0, 2, 0, 0, 0, 6, 0, -2, 0, 0, 0, 6, 0, -11, 0, 0, 0, -2, 0, -4, 0, 0, 0, -16, 0, -16, 0, 0, 0, 1, 0, -7, 0, 0, 0, -2, 0, 3, 0, 0, 0, 8, 0, 40, 0, 0, 0, -5, 0, 0, 0, 0, 0, -8, 0, -13, 0, 0, 0, 16, 0, 6, 0, 0, 0, 10, 0, 8, 0, 0, 0, -12, 0, 12, 0, 0, 0, 20, 0, -8, 0, 0, 0, -4, 0, 11, 0, 0, 0, 12, 0, 6, 0, 0, 0, 10, 0, 16, 0, 0, 0, -2, 0, -24, 0, 0, 0, -6, 0, -14, 0, 0, 0, -48, 0, -4, 0, 0, 0, -16, 0, 2, 0, 0, 0, -3, 0, -13, 0, 0, 0, 20, 0, -16, 0, 0, 0, -18, 0, -18, 0, 0, 0, 16, 0, -20, 0, 0, 0, -24, 0, 40, 0, 0, 0, 16, 0, 9, 0, 0, 0, 18, 0, -22, 0, 0, 0, 24, 0, 4, 0, 0, 0, -32, 0, 15, 0, 0, 0, 6, 0, 3, 0, 0, 0, -8, 0, -4, 0, 0, 0, -4, 0, -4, 0, 0, 0, -5, 0, 28, 0, 0, 0, -56, 0, 16, 0, 0, 0, 6, 0, -14, 0, 0, 0, -3, 0, -14, 0, 0, 0, 42, 0, -16, 0, 0, 0, -6, 0, 23, 0, 0, 0, -12, 0, -2, 0, 0, 0, -42, 0, 60, 0, 0, 0, -5, 0, 16, 0, 0, 0, -6, 0, 16, 0, 0, 0, 0, 0, 24, 0, 0, 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-10, 0, 5, 0, 0, 0, -56, 0, 144, 0, 0, 0, -40, 0, 26, 0, 0, 0, 48, 0, -40, 0, 0, 0, -60, 0, 26, 0, 0, 0, -36, 0, 4, 0, 0, 0, 2, 0, 48, 0, 0, 0, 16, 0, 24, 0, 0, 0, 8, 0, 7, 0, 0, 0, 24, 0, 60, 0, 0, 0, 64, 0, -108, 0, 0, 0, 16, 0, 88, 0, 0, 0, -6, 0, -3, 0, 0, 0, 120, 0, -116, 0, 0, 0, -28, 0, -6, 0, 0, 0, 27, 0, 6, 0, 0, 0, 78, 0, 48, 0, 0, 0, -6, 0, 15, 0, 0, 0, -12, 0, -42, 0, 0, 0, -40, 0, 52, 0, 0, 0, -11, 0, 50, 0, 0, 0, -36, 0, -16, 0, 0, 0, -84, 0, 32, 0, 0, 0, -8, 0, -60, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [-2, 2], [0, 0], [0, 0], [0, 0], [5, -5], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [3, 0], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [-11, 11], [0, 0], [0, 0], [0, 0], [-2, 2], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [-8, 0], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [-7, 7], [0, 0], [0, 0], [0, 0], [-2, 2], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [20, 0], [0, 0], [0, 0], [0, 0], [0, -5], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-8, 8], [0, 0], [0, -13], [0, 0], [0, 0], [0, 0], [8, 0], [0, 0], [3, 0], [0, 0], [0, 0], [0, 0], [0, 10], [0, 0], [8, -8], [0, 0], [0, 0], [0, 0], [-12, 12], [0, 0], [0, 12], [0, 0], [0, 0], [0, 0], [10, 0], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [11, -11], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [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': 549789369184, 'hecke_ring_character_values': [[703, [1, 0]], [325, [1, 0]], [353, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '864.2.i.a', 'level': 864, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, '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': [864, 3, [703, 325, 353], [3, 3, 2]], 'conrey_index': 289, 'cusp_dim': 240, 'dim': 24, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 549789369184, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 8], 'label': '864.2.i', 'level': 864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 336, 'mf_new_dim': 24, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 288, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, -560, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -520, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 541702
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541703
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541704
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541705
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541706
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541707
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 541708
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541709
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 541710
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 541711
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 541712
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541713
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541714
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541715
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 541716
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541717
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 541718
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541719
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 541720
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541721
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541722
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 541723
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 541724
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 541725
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.i.a', 'source_level': 864, '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': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1423500
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 2}
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id: 1423501
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 3}
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id: 1423502
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 5}
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id: 1423503
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 7}
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id: 1423504
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 11}
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id: 1423505
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 13}
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id: 1423506
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 17}
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id: 1423507
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 19}
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id: 1423508
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 23}
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id: 1423509
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 29}
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id: 1423510
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 31}
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id: 1423511
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 37}
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id: 1423512
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 41}
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id: 1423513
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 43}
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id: 1423514
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 47}
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id: 1423515
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 53}
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id: 1423516
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 59}
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id: 1423517
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 61}
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id: 1423518
{'charpoly_factorization': [[[169, 13, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 67}
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id: 1423519
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 71}
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id: 1423520
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 73}
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id: 1423521
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 79}
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id: 1423522
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 83}
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id: 1423523
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 549789369184, 'p': 89}
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id: 1423524
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 549789369184, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '864.2.i.a', 'level': 864, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 38251000
{'hecke_orbit_code': 549789369184, 'n': 1, 'trace_an': 2}
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id: 38251001
{'hecke_orbit_code': 549789369184, 'n': 2, 'trace_an': 0}
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id: 38251002
{'hecke_orbit_code': 549789369184, 'n': 3, 'trace_an': 0}
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id: 38251003
{'hecke_orbit_code': 549789369184, 'n': 4, 'trace_an': 0}
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id: 38251004
{'hecke_orbit_code': 549789369184, 'n': 5, 'trace_an': 4}
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id: 38251005
{'hecke_orbit_code': 549789369184, 'n': 6, 'trace_an': 0}
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id: 38251006
{'hecke_orbit_code': 549789369184, 'n': 7, 'trace_an': -2}
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id: 38251007
{'hecke_orbit_code': 549789369184, 'n': 8, 'trace_an': 0}
-
id: 38251008
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