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mf_newforms • Show schema
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{'Nk2': 1620, 'analytic_conductor': 3.2339412818618554, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'cm_discs': [], 'conrey_index': 136, 'conrey_indexes': [136, 271], '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': [[2, [4, -2, 1]], [7, [9, -3, 1]], [11, [4, -2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525472303055253, 'hecke_ring_generator_nbound': 5, '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': '405.2.e.h', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '135.2.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(2-2\\zeta_{6})q^{2}-2\\zeta_{6}q^{4}+\\zeta_{6}q^{5}+(3+\\cdots)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': '405.2.e', 'trace_display': [2, 0, 1, 3], 'trace_hash': 1315195147197622880, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.774', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '108.834', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [2, 2, 0, -2, 1, 0, 3, 0, 0, 4, 2, 0, 5, -6, 0, 4, -16, 0, 2, 2, 0, -4, -6, 0, -1, 20, 0, -12, -2, 0, 0, -8, 0, -16, 6, 0, 10, 2, 0, 0, 10, 0, -4, -8, 0, -24, -4, 0, -2, 2, 0, 10, -4, 0, 4, 0, 0, 4, 8, 0, -7, 0, 0, -16, -5, 0, 9, 16, 0, 6, 4, 0, -10, 10, 0, -2, -6, 0, 3, 8, 0, 40, -6, 0, -8, 8, 0, 0, -24, 0, 30, -12, 0, 8, 1, 0, 13, -8, 0, 4, 0, 0, -17, 0, 0, -4, 12, 0, -20, 4, 0, -12, -10, 0, 6, 8, 0, 32, -24, 0, 7, 14, 0, 0, -2, 0, -16, 0, 0, 10, -12, 0, 3, 36, 0, 0, 6, 0, 13, -6, 0, 4, 20, 0, -4, -10, 0, -10, 4, 0, -1, 0, 0, -24, 0, 0, -2, -6, 0, 8, -36, 0, -38, 20, 0, 12, 12, 0, -12, -32, 0, 16, 12, 0, 3, -8, 0, -24, 44, 0, 10, 30, 0, 0, 5, 0, -16, 16, 0, 4, 4, 0, -5, -26, 0, -4, 0, 0, -34, 0, 0, 0, 6, 0, -10, -68, 0, 40, 2, 0, -23, 4, 0, 12, -8, 0, 0, -20, 0, -4, -40, 0, -8, -48, 0, -40, 10, 0, -6, -12, 0, 0, -48, 0, -8, 16, 0, 48, 26, 0, -1, 28, 0, 28, 2, 0, 5, 0, 0, -2, 12, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [2, -2], [0, 0], [0, -2], [0, 1], [0, 0], [3, -3], [0, 0], [0, 0], [2, 0], [2, -2], [0, 0], [0, 5], [0, -6], [0, 0], [4, -4], [-8, 0], [0, 0], [1, 0], [2, -2], [0, 0], [0, -4], [0, -6], [0, 0], [-1, 1], [10, 0], [0, 0], [-6, 0], [-2, 2], [0, 0], [0, 0], [0, -8], [0, 0], [-16, 16], [3, 0], [0, 0], [5, 0], [2, -2], [0, 0], [0, 0], [0, 10], [0, 0], [-4, 4], [-4, 0], [0, 0], [-12, 0], [-4, 4], [0, 0], [0, -2], [0, 2], [0, 0], [10, -10], [-2, 0], [0, 0], [2, 0], [0, 0], [0, 0], [0, 4], [0, 8], [0, 0], [-7, 7], [0, 0], [0, 0], [-8, 0], [-5, 5], [0, 0], [0, 9], [0, 16], [0, 0], [6, -6], [2, 0], [0, 0], [-5, 0], [10, -10], [0, 0], [0, -2], [0, -6], [0, 0], [3, -3], [4, 0], [0, 0], [20, 0], [-6, 6], [0, 0], [0, -8], [0, 8], [0, 0], [0, 0], [-12, 0], [0, 0], [15, 0], [-12, 12], [0, 0], [0, 8], [0, 1], [0, 0], [13, -13], [-4, 0], [0, 0], [2, 0]], 'ap': [[2, -2], [0, 0], [0, 1], [3, -3], [2, -2], [0, 5], [-8, 0], [1, 0], [0, -6], [-2, 2], [0, 0], [5, 0], [0, 10], [-4, 4], [-4, 4], [-2, 0], [0, 8], [-7, 7], [0, 9], [2, 0], [-5, 0], [3, -3], [-6, 6], [-12, 0], [13, -13], [0, 0], [0, -17], [6, 0], [-10, 0], [0, -10], [-8, 0], [0, -12], [6, -6], [0, 13], [0, 4], [-1, 1], [0, -2], [-19, 0], [0, 12], [12, -12], [22, 0], [5, 0], [4, -4], [0, -5], [0, 0], [-17, 0], [0, -23], [-8, 8], [10, -10], [0, -6], [-24, 0], [0, 26], [-1, 1], [6, 0], [0, 0], [28, -28], [16, 0], [13, 0], [30, -30], [0, 0], [0, -12], [0, -18], [16, 0], [0, 24], [7, -7], [-20, 20], [21, -21], [0, -7], [0, -10], [-19, 19], [12, -12], [-18, 0], [-21, 21], [0, 11], [-11, 0], [0, 24], [-24, 24], [-2, 0], [0, -6], [0, 7], [0, -32], [-1, 1], [30, 0], [-38, 0], [32, -32], [12, -12], [4, 0], [-22, 22], [12, -12], [0, -33], [-28, 0], [-6, 6], [5, 0], [0, 22], [0, -16], [26, 0], [0, -34], [38, 0], [19, 0], [33, 0], [-37, 37], [12, 0], [0, -36], [0, 0], [0, -5], [17, 0], [18, -18], [-22, 0], [0, 10], [34, -34], [0, -1], [1, 0], [0, -18], [19, -19], [-11, 0], [0, 0], [0, 12], [-38, 0], [0, 4], [32, -32], [0, -7], [-33, 33], [-12, 12], [-18, 0], [20, -20], [-34, 0], [-25, 25], [30, 0], [16, -16], [0, 22], [-20, 0], [0, 32], [0, -25], [-53, 0], [0, 18], [0, 37], [18, 0], [0, 41], [0, 16], [-16, 0], [-12, 0], [-48, 48], [0, -11], [28, 0], [-51, 0], [4, -4], [-21, 21], [26, -26], [0, -7], [-4, 0], [0, -9], [-38, 0], [-19, 0], [0, 48], [21, -21], [-40, 40], [40, 0], [34, -34], [33, 0], [0, 22], [-48, 48], [40, 0], [0, 13], [-12, 0], [0, 62], [-54, 54], [-25, 0], [42, -42]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 31525472303055253, 'hecke_ring_character_values': [[326, [0, -1]], [82, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '405.2.e.h', 'level': 405, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1620, 'analytic_conductor': 3.2339412818618554, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'conrey_index': 136, 'cusp_dim': 84, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 274911461781, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '405.2.e', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 132, 'mf_new_dim': 32, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 108, 'trace_bound': 7, 'trace_display': [0, 0, 0, 10], 'traces': [32, 0, 0, -16, 0, 0, 10, 0, 0, 0, 0, 0, 10, 0, 0, -16, 0, 0, 4, 0, 0, -12, 0, 0, -16, 0, 0, -80, 0, 0, 40, 0, 0, 18, 0, 0, -20, 0, 0, 30, 0, 0, 28, 0, 0, -36, 0, 0, -18, 0, 0, 4, 0, 0, 0, 0, 0, -36, 0, 0, -14, 0, 0, 44, 0, 0, -14, 0, 0, -12, 0, 0, 76, 0, 0, 34, 0, 0, -2, 0, 0, 96, 0, 0, -12, 0, 0, -36, 0, 0, -52, 0, 0, -48, 0, 0, -26, 0, 0, 32, 0, 0, -2, 0, 0, -30, 0, 0, -152, 0, 0, 40, 0, 0, 0, 0, 0, 144, 0, 0, -64, 0, 0, 94, 0, 0, -80, 0, 0, 0, 0, 0, 98, 0, 0, 72, 0, 0, 58, 0, 0, -12, 0, 0, 24, 0, 0, 4, 0, 0, 46, 0, 0, 48, 0, 0, 52, 0, 0, 60, 0, 0, 52, 0, 0, -18, 0, 0, -66, 0, 0, -176, 0, 0, 10, 0, 0, -144, 0, 0, 52, 0, 0, 12, 0, 0, -84, 0, 0, -60, 0, 0, -74, 0, 0, 108, 0, 0, -68, 0, 0, 132, 0, 0, -36, 0, 0, -344, 0, 0, -110, 0, 0, -48, 0, 0, 152, 0, 0, -48, 0, 0, -32, 0, 0, -192, 0, 0, 28, 0, 0, -48, 0, 0, -96, 0, 0, 120, 0, 0, -74, 0, 0, 124, 0, 0, -34, 0, 0, 0, 0, 0, 168, 0, 0, -76, 0, 0, -34, 0, 0, 264, 0, 0, 0, 0, 0, 136, 0, 0, 100, 0, 0, 54, 0, 0, 124, 0, 0, 72, 0, 0, 28, 0, 0, 192, 0, 0, 104, 0, 0, -128, 0, 0, 60, 0, 0, -288, 0, 0, 80, 0, 0, 22, 0, 0, 64, 0, 0, -6, 0, 0, 10, 0, 0, 148, 0, 0, 24, 0, 0, -48, 0, 0, -20, 0, 0, -48, 0, 0, 10, 0, 0, 156, 0, 0, -14, 0, 0, -18, 0, 0, 92, 0, 0, -66, 0, 0, -38, 0, 0, 0, 0, 0, -24, 0, 0, -144, 0, 0, -228, 0, 0, -76, 0, 0, -14, 0, 0, -24, 0, 0, 34, 0, 0, -216, 0, 0, -92, 0, 0, 12, 0, 0, -12, 0, 0, 352, 0, 0, 24, 0, 0, -42, 0, 0, -296, 0, 0, -16, 0, 0, 116, 0, 0, 144, 0, 0, -98, 0, 0, 52, 0, 0, 96, 0, 0, 180, 0, 0, -2, 0, 0, -264, 0, 0, 14, 0, 0, -36, 0, 0, -488, 0, 0, 310, 0, 0, -32, 0, 0, -480, 0, 0, 48, 0, 0, -68, 0, 0, 48, 0, 0, 54, 0, 0, 88, 0, 0, 12, 0, 0, -122, 0, 0, -72, 0, 0, -100, 0, 0, -300, 0, 0, -2, 0, 0, 360, 0, 0, 146, 0, 0, 32, 0, 0, 76, 0, 0, -84, 0, 0, 12, 0, 0, -92, 0, 0, 40, 0, 0, 336, 0, 0, 120, 0, 0, -140, 0, 0, -70, 0, 0, 132, 0, 0, 120, 0, 0, -48, 0, 0, 436, 0, 0, -192, 0, 0, 68, 0, 0, 80, 0, 0, 60, 0, 0, 120, 0, 0, -20, 0, 0, 150, 0, 0, -14, 0, 0, 24, 0, 0, 194, 0, 0, -116, 0, 0, 176, 0, 0, -108, 0, 0, 120, 0, 0, -312, 0, 0, 118, 0, 0, 72, 0, 0, 148, 0, 0, 144, 0, 0, -84, 0, 0, -300, 0, 0, -28, 0, 0, -128, 0, 0, -120, 0, 0, -408, 0, 0, 100, 0, 0, -152, 0, 0, -134, 0, 0, -54, 0, 0, 28, 0, 0, 48, 0, 0, -50, 0, 0, 240, 0, 0, -16, 0, 0, -44, 0, 0, -188, 0, 0, 18, 0, 0, -60, 0, 0, -72, 0, 0, -20, 0, 0, -114, 0, 0, 432, 0, 0, -32, 0, 0, -24, 0, 0, 48, 0, 0, -98, 0, 0, -180, 0, 0, -120, 0, 0, 48, 0, 0, -50, 0, 0, 984, 0, 0, -166, 0, 0, 84, 0, 0, 96, 0, 0, 316, 0, 0, -32, 0, 0, -192, 0, 0, -108, 0, 0, 40, 0, 0, -28, 0, 0, 72, 0, 0, 82, 0, 0, 144, 0, 0, -84, 0, 0, -36, 0, 0, -76, 0, 0, 10, 0, 0, -32, 0, 0, -360, 0, 0, -104, 0, 0, 234, 0, 0, -176, 0, 0, 96, 0, 0, -24, 0, 0, -192, 0, 0, -50, 0, 0, 312, 0, 0, 244, 0, 0, -48, 0, 0, -136, 0, 0, -420, 0, 0, -134, 0, 0, -44, 0, 0, -80, 0, 0, 264, 0, 0, -120, 0, 0, -384, 0, 0, 190, 0, 0, -54, 0, 0, -196, 0, 0, -44, 0, 0, 240, 0, 0, 192, 0, 0, -72, 0, 0, 372, 0, 0, 112, 0, 0, 264, 0, 0, -172, 0, 0, 168, 0, 0, 118, 0, 0, 240, 0, 0, -212, 0, 0, 448, 0, 0, 12, 0, 0, -360, 0, 0, -40, 0, 0, -314, 0, 0, -500, 0, 0, 18, 0, 0, -182, 0, 0, 528, 0, 0, 58, 0, 0, -120, 0, 0, 72, 0, 0, -100, 0, 0, -34, 0, 0, -84, 0, 0, -170, 0, 0, 84, 0, 0, -452, 0, 0, -354, 0, 0, -208, 0, 0, -824, 0, 0, 12, 0, 0, 60, 0, 0, -216, 0, 0, -108, 0, 0, 82, 0, 0, 168, 0, 0, -36, 0, 0, -38, 0, 0, 304, 0, 0, 192, 0, 0, 10, 0, 0, 1056, 0, 0, -84, 0, 0, -258, 0, 0, 268, 0, 0, 72, 0, 0, -12, 0, 0, -144, 0, 0, 38, 0, 0, -132, 0, 0, 192, 0, 0, -228, 0, 0, 228, 0, 0, 484, 0, 0, -134, 0, 0, 72, 0, 0, -52, 0, 0, 58, 0, 0, 288, 0, 0, 600, 0, 0, 12, 0, 0, -184, 0, 0, 28, 0, 0, -312, 0, 0, -140, 0, 0, -60], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 302871
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '135.2.a.a', 'target_level': 135, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 302872
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '135.2.a.b', 'target_level': 135, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 302873
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '405.2.e.b', 'target_level': 405, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 302874
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '405.2.e.b', 'target_level': 405, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 302875
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '405.2.e.h', 'target_level': 405, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 302876
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '405.2.e.h', 'target_level': 405, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 302877
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.2.a.a', 'target_level': 675, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 302878
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '675.2.a.i', 'target_level': 675, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 302879
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.2.b.a', 'target_level': 675, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 302880
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.2.b.b', 'target_level': 675, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 302881
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2160.2.a.j', 'target_level': 2160, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 302882
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2160.2.a.v', 'target_level': 2160, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 302883
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '6615.2.a.a', 'target_level': 6615, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 302884
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '6615.2.a.j', 'target_level': 6615, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 302885
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '8640.2.a.c', 'target_level': 8640, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 302886
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '8640.2.a.bb', 'target_level': 8640, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 302887
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '8640.2.a.bh', 'target_level': 8640, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 302888
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '405.2.e.h', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 57, 'target_is_minimal': False, 'target_label': '8640.2.a.ce', 'target_level': 8640, 'twist_class_label': '135.2.a.a', 'twist_class_level': 135, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 844275
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 2}
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id: 844276
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525472303055253, 'p': 3}
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id: 844277
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 5}
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id: 844278
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 7}
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id: 844279
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 11}
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id: 844280
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 13}
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id: 844281
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 31525472303055253, 'p': 17}
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id: 844282
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31525472303055253, 'p': 19}
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id: 844283
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 23}
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id: 844284
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 29}
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id: 844285
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525472303055253, 'p': 31}
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id: 844286
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 31525472303055253, 'p': 37}
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id: 844287
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 41}
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id: 844288
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 43}
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id: 844289
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 47}
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id: 844290
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 31525472303055253, 'p': 53}
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id: 844291
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 59}
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id: 844292
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 61}
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id: 844293
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 67}
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id: 844294
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 31525472303055253, 'p': 71}
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id: 844295
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 31525472303055253, 'p': 73}
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id: 844296
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 79}
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id: 844297
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 83}
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id: 844298
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 31525472303055253, 'p': 89}
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id: 844299
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 31525472303055253, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '405.2.e.h', 'level': 405, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 193376000
{'hecke_orbit_code': 31525472303055253, 'n': 1, 'trace_an': 2}
-
id: 193376001
{'hecke_orbit_code': 31525472303055253, 'n': 2, 'trace_an': 2}
-
id: 193376002
{'hecke_orbit_code': 31525472303055253, 'n': 3, 'trace_an': 0}
-
id: 193376003
{'hecke_orbit_code': 31525472303055253, 'n': 4, 'trace_an': -2}
-
id: 193376004
{'hecke_orbit_code': 31525472303055253, 'n': 5, 'trace_an': 1}
-
id: 193376005
{'hecke_orbit_code': 31525472303055253, 'n': 6, 'trace_an': 0}
-
id: 193376006
{'hecke_orbit_code': 31525472303055253, 'n': 7, 'trace_an': 3}
-
id: 193376007
{'hecke_orbit_code': 31525472303055253, 'n': 8, 'trace_an': 0}
-
id: 193376008
{'hecke_orbit_code': 31525472303055253, 'n': 9, 'trace_an': 0}
-
id: 193376009
{'hecke_orbit_code': 31525472303055253, 'n': 10, 'trace_an': 4}
-
id: 193376010
{'hecke_orbit_code': 31525472303055253, 'n': 11, 'trace_an': 2}
-
id: 193376011
{'hecke_orbit_code': 31525472303055253, 'n': 12, 'trace_an': 0}
-
id: 193376012
{'hecke_orbit_code': 31525472303055253, 'n': 13, 'trace_an': 5}
-
id: 193376013
{'hecke_orbit_code': 31525472303055253, 'n': 14, 'trace_an': -6}
-
id: 193376014
{'hecke_orbit_code': 31525472303055253, 'n': 15, 'trace_an': 0}
-
id: 193376015
{'hecke_orbit_code': 31525472303055253, 'n': 16, 'trace_an': 4}
-
id: 193376016
{'hecke_orbit_code': 31525472303055253, 'n': 17, 'trace_an': -16}
-
id: 193376017
{'hecke_orbit_code': 31525472303055253, 'n': 18, 'trace_an': 0}
-
id: 193376018
{'hecke_orbit_code': 31525472303055253, 'n': 19, 'trace_an': 2}
-
id: 193376019
{'hecke_orbit_code': 31525472303055253, 'n': 20, 'trace_an': 2}
-
id: 193376020
{'hecke_orbit_code': 31525472303055253, 'n': 21, 'trace_an': 0}
-
id: 193376021
{'hecke_orbit_code': 31525472303055253, 'n': 22, 'trace_an': -4}
-
id: 193376022
{'hecke_orbit_code': 31525472303055253, 'n': 23, 'trace_an': -6}
-
id: 193376023
{'hecke_orbit_code': 31525472303055253, 'n': 24, 'trace_an': 0}
-
id: 193376024
{'hecke_orbit_code': 31525472303055253, 'n': 25, 'trace_an': -1}
-
id: 193376025
{'hecke_orbit_code': 31525472303055253, 'n': 26, 'trace_an': 20}
-
id: 193376026
{'hecke_orbit_code': 31525472303055253, 'n': 27, 'trace_an': 0}
-
id: 193376027
{'hecke_orbit_code': 31525472303055253, 'n': 28, 'trace_an': -12}
-
id: 193376028
{'hecke_orbit_code': 31525472303055253, 'n': 29, 'trace_an': -2}
-
id: 193376029
{'hecke_orbit_code': 31525472303055253, 'n': 30, 'trace_an': 0}
-
id: 193376030
{'hecke_orbit_code': 31525472303055253, 'n': 31, 'trace_an': 0}
-
id: 193376031
{'hecke_orbit_code': 31525472303055253, 'n': 32, 'trace_an': -8}
-
id: 193376032
{'hecke_orbit_code': 31525472303055253, 'n': 33, 'trace_an': 0}
-
id: 193376033
{'hecke_orbit_code': 31525472303055253, 'n': 34, 'trace_an': -16}
-
id: 193376034
{'hecke_orbit_code': 31525472303055253, 'n': 35, 'trace_an': 6}
-
id: 193376035
{'hecke_orbit_code': 31525472303055253, 'n': 36, 'trace_an': 0}
-
id: 193376036
{'hecke_orbit_code': 31525472303055253, 'n': 37, 'trace_an': 10}
-
id: 193376037
{'hecke_orbit_code': 31525472303055253, 'n': 38, 'trace_an': 2}
-
id: 193376038
{'hecke_orbit_code': 31525472303055253, 'n': 39, 'trace_an': 0}
-
id: 193376039
{'hecke_orbit_code': 31525472303055253, 'n': 40, 'trace_an': 0}
-
id: 193376040
{'hecke_orbit_code': 31525472303055253, 'n': 41, 'trace_an': 10}
-
id: 193376041
{'hecke_orbit_code': 31525472303055253, 'n': 42, 'trace_an': 0}
-
id: 193376042
{'hecke_orbit_code': 31525472303055253, 'n': 43, 'trace_an': -4}
-
id: 193376043
{'hecke_orbit_code': 31525472303055253, 'n': 44, 'trace_an': -8}
-
id: 193376044
{'hecke_orbit_code': 31525472303055253, 'n': 45, 'trace_an': 0}
-
id: 193376045
{'hecke_orbit_code': 31525472303055253, 'n': 46, 'trace_an': -24}
-
id: 193376046
{'hecke_orbit_code': 31525472303055253, 'n': 47, 'trace_an': -4}
-
id: 193376047
{'hecke_orbit_code': 31525472303055253, 'n': 48, 'trace_an': 0}
-
id: 193376048
{'hecke_orbit_code': 31525472303055253, 'n': 49, 'trace_an': -2}
-
id: 193376049
{'hecke_orbit_code': 31525472303055253, 'n': 50, 'trace_an': 2}
-
id: 193376050
{'hecke_orbit_code': 31525472303055253, 'n': 51, 'trace_an': 0}
-
id: 193376051
{'hecke_orbit_code': 31525472303055253, 'n': 52, 'trace_an': 10}
-
id: 193376052
{'hecke_orbit_code': 31525472303055253, 'n': 53, 'trace_an': -4}
-
id: 193376053
{'hecke_orbit_code': 31525472303055253, 'n': 54, 'trace_an': 0}
-
id: 193376054
{'hecke_orbit_code': 31525472303055253, 'n': 55, 'trace_an': 4}
-
id: 193376055
{'hecke_orbit_code': 31525472303055253, 'n': 56, 'trace_an': 0}
-
id: 193376056
{'hecke_orbit_code': 31525472303055253, 'n': 57, 'trace_an': 0}
-
id: 193376057
{'hecke_orbit_code': 31525472303055253, 'n': 58, 'trace_an': 4}
-
id: 193376058
{'hecke_orbit_code': 31525472303055253, 'n': 59, 'trace_an': 8}
-
id: 193376059
{'hecke_orbit_code': 31525472303055253, 'n': 60, 'trace_an': 0}
-
id: 193376060
{'hecke_orbit_code': 31525472303055253, 'n': 61, 'trace_an': -7}
-
id: 193376061
{'hecke_orbit_code': 31525472303055253, 'n': 62, 'trace_an': 0}
-
id: 193376062
{'hecke_orbit_code': 31525472303055253, 'n': 63, 'trace_an': 0}
-
id: 193376063
{'hecke_orbit_code': 31525472303055253, 'n': 64, 'trace_an': -16}
-
id: 193376064
{'hecke_orbit_code': 31525472303055253, 'n': 65, 'trace_an': -5}
-
id: 193376065
{'hecke_orbit_code': 31525472303055253, 'n': 66, 'trace_an': 0}
-
id: 193376066
{'hecke_orbit_code': 31525472303055253, 'n': 67, 'trace_an': 9}
-
id: 193376067
{'hecke_orbit_code': 31525472303055253, 'n': 68, 'trace_an': 16}
-
id: 193376068
{'hecke_orbit_code': 31525472303055253, 'n': 69, 'trace_an': 0}
-
id: 193376069
{'hecke_orbit_code': 31525472303055253, 'n': 70, 'trace_an': 6}
-
id: 193376070
{'hecke_orbit_code': 31525472303055253, 'n': 71, 'trace_an': 4}
-
id: 193376071
{'hecke_orbit_code': 31525472303055253, 'n': 72, 'trace_an': 0}
-
id: 193376072
{'hecke_orbit_code': 31525472303055253, 'n': 73, 'trace_an': -10}
-
id: 193376073
{'hecke_orbit_code': 31525472303055253, 'n': 74, 'trace_an': 10}
-
id: 193376074
{'hecke_orbit_code': 31525472303055253, 'n': 75, 'trace_an': 0}
-
id: 193376075
{'hecke_orbit_code': 31525472303055253, 'n': 76, 'trace_an': -2}
-
id: 193376076
{'hecke_orbit_code': 31525472303055253, 'n': 77, 'trace_an': -6}
-
id: 193376077
{'hecke_orbit_code': 31525472303055253, 'n': 78, 'trace_an': 0}
-
id: 193376078
{'hecke_orbit_code': 31525472303055253, 'n': 79, 'trace_an': 3}
-
id: 193376079
{'hecke_orbit_code': 31525472303055253, 'n': 80, 'trace_an': 8}
-
id: 193376080
{'hecke_orbit_code': 31525472303055253, 'n': 81, 'trace_an': 0}
-
id: 193376081
{'hecke_orbit_code': 31525472303055253, 'n': 82, 'trace_an': 40}
-
id: 193376082
{'hecke_orbit_code': 31525472303055253, 'n': 83, 'trace_an': -6}
-
id: 193376083
{'hecke_orbit_code': 31525472303055253, 'n': 84, 'trace_an': 0}
-
id: 193376084
{'hecke_orbit_code': 31525472303055253, 'n': 85, 'trace_an': -8}
-
id: 193376085
{'hecke_orbit_code': 31525472303055253, 'n': 86, 'trace_an': 8}
-
id: 193376086
{'hecke_orbit_code': 31525472303055253, 'n': 87, 'trace_an': 0}
-
id: 193376087
{'hecke_orbit_code': 31525472303055253, 'n': 88, 'trace_an': 0}
-
id: 193376088
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