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mf_newforms • Show schema
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{'Nk2': 3645, 'analytic_conductor': 11.035450706592025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': -1, 'char_values': [405, 12, [326, 82], [4, 9]], 'cm_discs': [], 'conrey_index': 28, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -4, 5, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007955219317141, 'hecke_ring_generator_nbound': 2, '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, 45, 11, -1, 12, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '405.3.l.c', 'level': 405, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '405.3.g.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 11, 'qexp_display': 'q+(1-\\zeta_{12}^{2}-\\zeta_{12}^{3})q^{2}+(-1+2\\zeta_{12}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '2.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '405.3.l', 'trace_display': [2, 0, -10, -2], 'trace_hash': 1780970652046312943, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.926', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.780', 'prec': 17}, {'__RealLiteral__': 0, 'data': '46.385', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [1, 0, -1, -1], [0, 0, 0, 0], [-1, 2, -1, 0], [0, 0, -5, 0], [0, 0, 0, 0], [-4, -3, 7, 7], [4, 5, -5, -4], [0, 0, 0, 0], [-5, -5, 0, 5], [0, -3, -1, -3], [0, 0, 0, 0], [-6, 6, -7, -13], [7, 11, 7, 0], [0, 0, 0, 0], [0, -8, -1, -8], [-10, -9, -9, -10], [0, 0, 0, 0], [9, 0, -18, -15], [-5, 0, 10, -10], [0, 0, 0, 0], [-7, -7, 3, 4], [15, -15, 1, 16], [0, 0, 0, 0], [-25, 0, 25, 0], [-20, -14, 0, 7], [0, 0, 0, 0], [-3, 2, -2, 3], [-16, 15, 8, -15], [0, 0, 0, 0], [-26, 18, 26, -36], [-1, -1, 12, -11], [0, 0, 0, 0], [-38, -28, 19, 28], [35, 35, -15, -20], [0, 0, 0, 0], [-20, 27, 27, -20], [-24, -33, -9, 9], [0, 0, 0, 0], [-25, -20, 5, -5], [26, -12, -26, 24], [0, 0, 0, 0], [-22, 9, 31, -31], [5, 0, -10, 7], [0, 0, 0, 0], [17, 2, 0, -1], [4, -18, 14, 14], [0, 0, 0, 0], [-40, -25, -40, 0], [0, 25, 25, 0], [0, 0, 0, 0], [25, -31, 6, 6], [-7, 30, -30, 7], [0, 0, 0, 0], [-5, -15, 5, 30], [0, 31, 45, 31], [0, 0, 0, 0], [-8, 8, 1, -7], [-26, 6, -26, 0], [0, 0, 0, 0], [0, 18, 1, 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mf_newspaces • Show schema
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{'Nk2': 3645, 'analytic_conductor': 11.035450706592025, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': -1, 'char_values': [405, 12, [326, 82], [4, 9]], 'conrey_index': 28, 'cusp_dim': 384, 'dim': 184, 'eis_dim': 96, 'eis_new_dim': 16, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 755964576149, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 8, 8, 8, 16, 16, 16, 16, 32, 32], 'label': '405.3.l', 'level': 405, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 480, 'mf_new_dim': 200, 'num_forms': 15, 'prim_orbit_index': 11, 'relative_dim': 46, 'sturm_bound': 162, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [184, 0, 0, 0, 0, 0, 4, 0, 0, -8, 0, 0, 4, 0, 0, 328, 0, 0, 0, 0, 0, 20, 0, 0, 16, 0, 0, 152, 0, 0, 8, 0, 0, 0, 0, 0, 160, 0, 0, -60, 0, 0, 4, 0, 0, 728, 0, 0, 0, 0, 0, -44, 0, 0, -472, 0, 0, -252, 0, 0, -184, 0, 0, 0, 0, 0, 160, 0, 0, -96, 0, 0, -8, 0, 0, 660, 0, 0, 0, 0, 0, -88, 0, 0, 52, 0, 0, 300, 0, 0, -352, 0, 0, 0, 0, 0, -296, 0, 0, 120, 0, 0, -644, 0, 0, -1012, 0, 0, 0, 0, 0, -104, 0, 0, -284, 0, 0, -4536, 0, 0, -876, 0, 0, 0, 0, 0, -656, 0, 0, 80, 0, 0, -228, 0, 0, 720, 0, 0, 0, 0, 0, 404, 0, 0, 1896, 0, 0, 596, 0, 0, 1376, 0, 0, 0, 0, 0, -500, 0, 0, 424, 0, 0, 2320, 0, 0, 1916, 0, 0, 0, 0, 0, 1264, 0, 0, -668, 0, 0, -2292, 0, 0, 1376, 0, 0, 0, 0, 0, 1508, 0, 0, -2592, 0, 0, -476, 0, 0, -136, 0, 0, 0, 0, 0, 1376, 0, 0, 1244, 0, 0, -1712, 0, 0, 1016, 0, 0, 0, 0, 0, -1120, 0, 0, 1044, 0, 0, 2212, 0, 0, -1360, 0, 0, 0, 0, 0, -3168, 0, 0, 688, 0, 0, -2384, 0, 0, -2704, 0, 0, 0, 0, 0, -3108, 0, 0, -2144, 0, 0, -4024, 0, 0, -4520, 0, 0, 0, 0, 0, -3112, 0, 0, 2608, 0, 0, -1444, 0, 0, 464, 0, 0, 0, 0, 0, 244, 0, 0, 12528, 0, 0, 1012, 0, 0, 3568, 0, 0, 0, 0, 0, -1232, 0, 0, 1212, 0, 0, 11928, 0, 0, 5120, 0, 0, 0, 0, 0, 832, 0, 0, -604, 0, 0, 688, 0, 0, -312, 0, 0, 0, 0, 0, 4856, 0, 0, -7112, 0, 0, 3756, 0, 0, 2600, 0, 0, 0, 0, 0, 5128, 0, 0, 4100, 0, 0, 2376, 0, 0, -2356, 0, 0, 0, 0, 0, -3376, 0, 0, -796, 0, 0, 5688, 0, 0, -1448, 0, 0, 0, 0, 0, -3380, 0, 0, 4248, 0, 0, -1232, 0, 0, -4152, 0, 0, 0, 0, 0, -8620, 0, 0, -5356, 0, 0, -10864, 0, 0, -7096, 0, 0, 0, 0, 0, 136, 0, 0, 6448, 0, 0, -1252, 0, 0, 4656, 0, 0, 0, 0, 0, -4124, 0, 0, 11464, 0, 0, 372, 0, 0, 1136, 0, 0, 0, 0, 0, 1268, 0, 0, 2132, 0, 0, 2296, 0, 0, 4020, 0, 0, 0, 0, 0, 2096, 0, 0, -1284, 0, 0, -5476, 0, 0, -848, 0, 0, 0, 0, 0, 4648, 0, 0, -21872, 0, 0, -2072, 0, 0, 2216, 0, 0, 0, 0, 0, 12768, 0, 0, -984, 0, 0, 1224, 0, 0, 464, 0, 0, 0, 0, 0, -4640, 0, 0, -8668, 0, 0, 1044, 0, 0, -20488, 0, 0, 0, 0, 0, -5644, 0, 0, -8968, 0, 0, -1660, 0, 0, -9160, 0, 0, 0, 0, 0, -5008, 0, 0, -8124, 0, 0, -15224, 0, 0, -4432, 0, 0, 0, 0, 0, -312, 0, 0, -1340, 0, 0, -5328, 0, 0, 8480, 0, 0, 0, 0, 0, -5564, 0, 0, 11456, 0, 0, 348, 0, 0, 8208, 0, 0, 0, 0, 0, -1072, 0, 0, 3736, 0, 0, 25608, 0, 0, 9008, 0, 0, 0, 0, 0, 21136, 0, 0, -132, 0, 0, 3080, 0, 0, 10280, 0, 0, 0, 0, 0, 19084, 0, 0, -7656, 0, 0, 11120, 0, 0, -2776, 0, 0, 0, 0, 0, 8512, 0, 0, 4580, 0, 0, -1040, 0, 0, 96, 0, 0, 0, 0, 0, -13696, 0, 0, -368, 0, 0, 7448, 0, 0, -23392, 0, 0, 0, 0, 0, -6044, 0, 0, -8400, 0, 0, -6020, 0, 0, -12588, 0, 0, 0, 0, 0, -15332, 0, 0, 908, 0, 0, -13808, 0, 0, -4528, 0, 0, 0, 0, 0, -2616, 0, 0, -2220, 0, 0, -9116, 0, 0, 17296, 0, 0, 0, 0, 0, 3736, 0, 0, 18472, 0, 0, -7244, 0, 0, 7664, 0, 0, 0, 0, 0, 1532, 0, 0, 11048, 0, 0, 17328, 0, 0, 15008, 0, 0, 0, 0, 0, 50568, 0, 0, 4208, 0, 0, 7308, 0, 0, 7088, 0, 0, 0, 0, 0, 7600, 0, 0, -29944, 0, 0, 5728, 0, 0, 10484, 0, 0, 0, 0, 0, 7292, 0, 0, -9264, 0, 0, 11248, 0, 0, -3688, 0, 0, 0, 0, 0, -16976, 0, 0, -14940, 0, 0, 4740, 0, 0, -5560, 0, 0, 0, 0, 0, -12572, 0, 0, 680, 0, 0, 8028, 0, 0, -6200, 0, 0, 0, 0, 0, -10004, 0, 0, -7632, 0, 0, -13192, 0, 0, -21168, 0, 0, 0, 0, 0, -16696, 0, 0, 6188, 0, 0, -6000, 0, 0, 27728, 0, 0, 0, 0, 0, -10188, 0, 0, 17904, 0, 0, 988, 0, 0, 8712, 0, 0, 0, 0, 0, 8308, 0, 0, 13780, 0, 0, 6336, 0, 0, 4540, 0, 0, 0, 0, 0, 6768, 0, 0, 13644, 0, 0, 2464, 0, 0, 96, 0, 0, 0, 0, 0, 20744, 0, 0, -12344, 0, 0, 8512, 0, 0, 18272, 0, 0, 0, 0, 0, 16852, 0, 0, -16828, 0, 0, 16120, 0, 0, 2228, 0, 0, 0, 0, 0, -42416, 0, 0, -8040, 0, 0, -1176, 0, 0, -34432, 0, 0, 0, 0, 0, -3584, 0, 0, -13120, 0, 0, -2776, 0, 0, -34452, 0, 0, 0, 0, 0, -7132, 0, 0, -5840, 0, 0, -31104, 0, 0, -20544, 0, 0, 0, 0, 0, 3568, 0, 0, -11032, 0, 0, -11668, 0, 0, 33232, 0, 0, 0, 0, 0, -23940, 0, 0, 5840, 0, 0, -26820, 0, 0, 8868, 0, 0, 0, 0, 0, 2656, 0, 0, 3372, 0, 0, 5136, 0, 0, 33668, 0, 0, 0, 0, 0, 67352, 0, 0, 5140, 0, 0, 10116, 0, 0, 2384, 0, 0, 0, 0, 0, 14716, 0, 0, 9216], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 303743
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '405.3.g.a', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 303744
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '405.3.g.a', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 303745
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '405.3.g.b', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 303746
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '405.3.g.b', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 303747
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '405.3.l.a', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 303748
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '405.3.l.a', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 303749
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '405.3.l.b', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 303750
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '405.3.l.b', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 303751
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '405.3.l.c', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 303752
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '405.3.l.c', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 303753
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '405.3.l.d', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 303754
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '405.3.l.c', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '405.3.l.d', 'target_level': 405, 'twist_class_label': '405.3.g.a', 'twist_class_level': 405, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 845425
{'charpoly_factorization': [[[1, -4, 5, -2, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 2}
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id: 845426
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007955219317141, 'p': 3}
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id: 845427
{'charpoly_factorization': [[[25, 5, 1], 2]], 'hecke_orbit_code': 9007955219317141, 'p': 5}
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id: 845428
{'charpoly_factorization': [[[676, -572, 122, 2, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 7}
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id: 845429
{'charpoly_factorization': [[[676, -52, 30, 2, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 11}
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id: 845430
{'charpoly_factorization': [[[64009, 10120, 761, 38, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 13}
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id: 845431
{'charpoly_factorization': [[[89401, 17342, 1682, 58, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 17}
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id: 845432
{'charpoly_factorization': [[[324, 0, 936, 0, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 19}
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id: 845433
{'charpoly_factorization': [[[81796, -9724, 1250, -62, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 23}
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id: 845434
{'charpoly_factorization': [[[1089, -1584, 735, 48, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 29}
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id: 845435
{'charpoly_factorization': [[[87616, -15392, 3000, 52, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 31}
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id: 845436
{'charpoly_factorization': [[[1018081, -26234, 338, 26, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 37}
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id: 845437
{'charpoly_factorization': [[[59536, -12688, 2460, -52, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 41}
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id: 845438
{'charpoly_factorization': [[[5476, -7844, 2978, 26, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 43}
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id: 845439
{'charpoly_factorization': [[[238144, -9760, 584, -44, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 47}
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id: 845440
{'charpoly_factorization': [[[145924, -33616, 3872, 88, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 53}
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id: 845441
{'charpoly_factorization': [[[3968064, 310752, 10104, 156, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 59}
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id: 845442
{'charpoly_factorization': [[[942841, 1942, 975, -2, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 61}
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id: 845443
{'charpoly_factorization': [[[4169764, -118436, 2066, -70, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 67}
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id: 845444
{'charpoly_factorization': [[[3166, -134, 1], 2]], 'hecke_orbit_code': 9007955219317141, 'p': 71}
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id: 845445
{'charpoly_factorization': [[[703921, 132562, 12482, 158, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 73}
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id: 845446
{'charpoly_factorization': [[[2762244, 229356, 4686, -138, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 79}
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id: 845447
{'charpoly_factorization': [[[46895104, 1753088, 16448, 16, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 83}
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id: 845448
{'charpoly_factorization': [[[9865881, 0, 30582, 0, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 89}
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id: 845449
{'charpoly_factorization': [[[19909444, 1276132, 24938, 134, 1], 1]], 'hecke_orbit_code': 9007955219317141, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 12, 'hecke_orbit': 3, 'label': '405.3.l.c', 'level': 405, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
-
id: 31473397
{'hecke_orbit_code': 9007955219317141, 'n': 1, 'trace_an': 4}
-
id: 31473398
{'hecke_orbit_code': 9007955219317141, 'n': 2, 'trace_an': 2}
-
id: 31473399
{'hecke_orbit_code': 9007955219317141, 'n': 3, 'trace_an': 0}
-
id: 31473400
{'hecke_orbit_code': 9007955219317141, 'n': 4, 'trace_an': -6}
-
id: 31473401
{'hecke_orbit_code': 9007955219317141, 'n': 5, 'trace_an': -10}
-
id: 31473402
{'hecke_orbit_code': 9007955219317141, 'n': 6, 'trace_an': 0}
-
id: 31473403
{'hecke_orbit_code': 9007955219317141, 'n': 7, 'trace_an': -2}
-
id: 31473404
{'hecke_orbit_code': 9007955219317141, 'n': 8, 'trace_an': 6}
-
id: 31473405
{'hecke_orbit_code': 9007955219317141, 'n': 9, 'trace_an': 0}
-
id: 31473406
{'hecke_orbit_code': 9007955219317141, 'n': 10, 'trace_an': -20}
-
id: 31473407
{'hecke_orbit_code': 9007955219317141, 'n': 11, 'trace_an': -2}
-
id: 31473408
{'hecke_orbit_code': 9007955219317141, 'n': 12, 'trace_an': 0}
-
id: 31473409
{'hecke_orbit_code': 9007955219317141, 'n': 13, 'trace_an': -38}
-
id: 31473410
{'hecke_orbit_code': 9007955219317141, 'n': 14, 'trace_an': 42}
-
id: 31473411
{'hecke_orbit_code': 9007955219317141, 'n': 15, 'trace_an': 0}
-
id: 31473412
{'hecke_orbit_code': 9007955219317141, 'n': 16, 'trace_an': -2}
-
id: 31473413
{'hecke_orbit_code': 9007955219317141, 'n': 17, 'trace_an': -58}
-
id: 31473414
{'hecke_orbit_code': 9007955219317141, 'n': 18, 'trace_an': 0}
-
id: 31473415
{'hecke_orbit_code': 9007955219317141, 'n': 19, 'trace_an': 0}
-
id: 31473416
{'hecke_orbit_code': 9007955219317141, 'n': 20, 'trace_an': 0}
-
id: 31473417
{'hecke_orbit_code': 9007955219317141, 'n': 21, 'trace_an': 0}
-
id: 31473418
{'hecke_orbit_code': 9007955219317141, 'n': 22, 'trace_an': -22}
-
id: 31473419
{'hecke_orbit_code': 9007955219317141, 'n': 23, 'trace_an': 62}
-
id: 31473420
{'hecke_orbit_code': 9007955219317141, 'n': 24, 'trace_an': 0}
-
id: 31473421
{'hecke_orbit_code': 9007955219317141, 'n': 25, 'trace_an': -50}
-
id: 31473422
{'hecke_orbit_code': 9007955219317141, 'n': 26, 'trace_an': -80}
-
id: 31473423
{'hecke_orbit_code': 9007955219317141, 'n': 27, 'trace_an': 0}
-
id: 31473424
{'hecke_orbit_code': 9007955219317141, 'n': 28, 'trace_an': -16}
-
id: 31473425
{'hecke_orbit_code': 9007955219317141, 'n': 29, 'trace_an': -48}
-
id: 31473426
{'hecke_orbit_code': 9007955219317141, 'n': 30, 'trace_an': 0}
-
id: 31473427
{'hecke_orbit_code': 9007955219317141, 'n': 31, 'trace_an': -52}
-
id: 31473428
{'hecke_orbit_code': 9007955219317141, 'n': 32, 'trace_an': 20}
-
id: 31473429
{'hecke_orbit_code': 9007955219317141, 'n': 33, 'trace_an': 0}
-
id: 31473430
{'hecke_orbit_code': 9007955219317141, 'n': 34, 'trace_an': -114}
-
id: 31473431
{'hecke_orbit_code': 9007955219317141, 'n': 35, 'trace_an': 110}
-
id: 31473432
{'hecke_orbit_code': 9007955219317141, 'n': 36, 'trace_an': 0}
-
id: 31473433
{'hecke_orbit_code': 9007955219317141, 'n': 37, 'trace_an': -26}
-
id: 31473434
{'hecke_orbit_code': 9007955219317141, 'n': 38, 'trace_an': -114}
-
id: 31473435
{'hecke_orbit_code': 9007955219317141, 'n': 39, 'trace_an': 0}
-
id: 31473436
{'hecke_orbit_code': 9007955219317141, 'n': 40, 'trace_an': -90}
-
id: 31473437
{'hecke_orbit_code': 9007955219317141, 'n': 41, 'trace_an': 52}
-
id: 31473438
{'hecke_orbit_code': 9007955219317141, 'n': 42, 'trace_an': 0}
-
id: 31473439
{'hecke_orbit_code': 9007955219317141, 'n': 43, 'trace_an': -26}
-
id: 31473440
{'hecke_orbit_code': 9007955219317141, 'n': 44, 'trace_an': 0}
-
id: 31473441
{'hecke_orbit_code': 9007955219317141, 'n': 45, 'trace_an': 0}
-
id: 31473442
{'hecke_orbit_code': 9007955219317141, 'n': 46, 'trace_an': 68}
-
id: 31473443
{'hecke_orbit_code': 9007955219317141, 'n': 47, 'trace_an': 44}
-
id: 31473444
{'hecke_orbit_code': 9007955219317141, 'n': 48, 'trace_an': 0}
-
id: 31473445
{'hecke_orbit_code': 9007955219317141, 'n': 49, 'trace_an': -240}
-
id: 31473446
{'hecke_orbit_code': 9007955219317141, 'n': 50, 'trace_an': 50}
-
id: 31473447
{'hecke_orbit_code': 9007955219317141, 'n': 51, 'trace_an': 0}
-
id: 31473448
{'hecke_orbit_code': 9007955219317141, 'n': 52, 'trace_an': 112}
-
id: 31473449
{'hecke_orbit_code': 9007955219317141, 'n': 53, 'trace_an': -88}
-
id: 31473450
{'hecke_orbit_code': 9007955219317141, 'n': 54, 'trace_an': 0}
-
id: 31473451
{'hecke_orbit_code': 9007955219317141, 'n': 55, 'trace_an': -10}
-
id: 31473452
{'hecke_orbit_code': 9007955219317141, 'n': 56, 'trace_an': 90}
-
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