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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': 8, 'field_disc': 3317760000, 'field_disc_factorization': [[2, 16], [3, 4], [5, 4]], 'field_poly': [625, 0, 0, 0, -25, 0, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [625, 0, 0, 0, -25, 0, 0, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022353728799125, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 9, 3, 1, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -5, 0, 5, 0, 5, 0], [0, -3, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-5, 0, 0, 0, 0, 0, 10, 0], [0, -5, 0, 0, 0, 0, 0, -5], [0, 0, 0, 0, 0, 0, 0, 0], [-10, 0, 10, 0, 10, 0, 0, 0], [0, 0, 0, -5, 0, -5, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -19, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 18, 0], [0, -2, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [25, 0, 25, 0, -25, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 15, 0, 20, 0, -15, 0], [0, -10, 0, -10, 0, 10, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, -5, 0], [0, -15, 0, 0, 0, 0, 0, 15], [0, 0, 0, 0, 0, 0, 0, 0], [-8, 0, 0, 0, 8, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, -7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -10, 0, 0, 0, 10, 0], [0, -15, 0, 5, 0, 15, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [10, 0, 0, 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[-1, 0, 0, 0, 1, 0, 0, 0]], [82, [0, 0, 0, 0, 0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 5, 5, 25, 25, 125, 125], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 25, 0, 0, 0], [0, 0, 0, 0, 0, 25, 0, 0], [0, 0, 0, 0, 0, 0, 125, 0], [0, 0, 0, 0, 0, 0, 0, 125]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '405.3.l.g', 'level': 405, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
Hide schema
{'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: 303805
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.g.a', 'target_level': 45, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 303806
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.g.a', 'target_level': 45, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 303807
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.g.a', 'target_level': 45, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 303808
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.g.a', 'target_level': 45, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 303809
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '225.3.g.g', 'target_level': 225, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 303810
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '225.3.g.g', 'target_level': 225, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 303811
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '225.3.g.g', 'target_level': 225, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 303812
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '225.3.g.g', 'target_level': 225, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 303813
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.l.g', 'target_level': 405, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 303814
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.l.g', 'target_level': 405, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 303815
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.l.g', 'target_level': 405, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 303816
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.l.g', 'target_level': 405, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 303817
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.l.g', 'target_level': 405, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 303818
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.l.g', 'target_level': 405, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 303819
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.l.g', 'target_level': 405, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 303820
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.l.g', 'target_level': 405, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 303821
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '720.3.bh.j', 'target_level': 720, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 303822
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '720.3.bh.j', 'target_level': 720, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 303823
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '720.3.bh.j', 'target_level': 720, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 3}
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id: 303824
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.3.l.g', 'source_level': 405, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '720.3.bh.j', 'target_level': 720, 'twist_class_label': '45.3.g.a', 'twist_class_level': 45, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 845525
{'charpoly_factorization': [[[625, 0, 0, 0, -25, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022353728799125, 'p': 2}
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id: 845526
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27022353728799125, 'p': 3}
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id: 845527
{'charpoly_factorization': [[[390625, 0, -25000, 0, 975, 0, -40, 0, 1], 1]], 'hecke_orbit_code': 27022353728799125, 'p': 5}
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id: 845528
{'charpoly_factorization': [[[2500, -500, 50, -10, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 7}
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id: 845529
{'charpoly_factorization': [[[62500, 0, 250, 0, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 11}
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id: 845530
{'charpoly_factorization': [[[40000, 4000, 200, 20, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 13}
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id: 845531
{'charpoly_factorization': [[[400, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 17}
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id: 845532
{'charpoly_factorization': [[[324, 0, 1], 4]], 'hecke_orbit_code': 27022353728799125, 'p': 19}
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id: 845533
{'charpoly_factorization': [[[160000, 0, 0, 0, -400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022353728799125, 'p': 23}
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id: 845534
{'charpoly_factorization': [[[5062500, 0, -2250, 0, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 29}
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id: 845535
{'charpoly_factorization': [[[64, 8, 1], 4]], 'hecke_orbit_code': 27022353728799125, 'p': 31}
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id: 845536
{'charpoly_factorization': [[[200, -20, 1], 4]], 'hecke_orbit_code': 27022353728799125, 'p': 37}
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id: 845537
{'charpoly_factorization': [[[1000000, 0, 1000, 0, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 41}
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id: 845538
{'charpoly_factorization': [[[40000, 4000, 200, 20, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 43}
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id: 845539
{'charpoly_factorization': [[[130516915360000, 0, 0, 0, -11424400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022353728799125, 'p': 47}
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id: 845540
{'charpoly_factorization': [[[1638400, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 53}
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id: 845541
{'charpoly_factorization': [[[5062500, 0, -2250, 0, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 59}
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id: 845542
{'charpoly_factorization': [[[3364, -58, 1], 4]], 'hecke_orbit_code': 27022353728799125, 'p': 61}
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id: 845543
{'charpoly_factorization': [[[96040000, 1372000, 9800, 140, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 67}
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id: 845544
{'charpoly_factorization': [[[-4000, 0, 1], 4]], 'hecke_orbit_code': 27022353728799125, 'p': 71}
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id: 845545
{'charpoly_factorization': [[[6050, -110, 1], 4]], 'hecke_orbit_code': 27022353728799125, 'p': 73}
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id: 845546
{'charpoly_factorization': [[[20736, 0, -144, 0, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 79}
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id: 845547
{'charpoly_factorization': [[[1116121190560000, 0, 0, 0, -33408400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022353728799125, 'p': 83}
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id: 845548
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27022353728799125, 'p': 89}
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id: 845549
{'charpoly_factorization': [[[2500, -500, 50, -10, 1], 2]], 'hecke_orbit_code': 27022353728799125, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 7, 'label': '405.3.l.g', 'level': 405, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 47592205
{'hecke_orbit_code': 27022353728799125, 'n': 1, 'trace_an': 8}
-
id: 47592206
{'hecke_orbit_code': 27022353728799125, 'n': 2, 'trace_an': 0}
-
id: 47592207
{'hecke_orbit_code': 27022353728799125, 'n': 3, 'trace_an': 0}
-
id: 47592208
{'hecke_orbit_code': 27022353728799125, 'n': 4, 'trace_an': 0}
-
id: 47592209
{'hecke_orbit_code': 27022353728799125, 'n': 5, 'trace_an': 0}
-
id: 47592210
{'hecke_orbit_code': 27022353728799125, 'n': 6, 'trace_an': 0}
-
id: 47592211
{'hecke_orbit_code': 27022353728799125, 'n': 7, 'trace_an': 20}
-
id: 47592212
{'hecke_orbit_code': 27022353728799125, 'n': 8, 'trace_an': 0}
-
id: 47592213
{'hecke_orbit_code': 27022353728799125, 'n': 9, 'trace_an': 0}
-
id: 47592214
{'hecke_orbit_code': 27022353728799125, 'n': 10, 'trace_an': -40}
-
id: 47592215
{'hecke_orbit_code': 27022353728799125, 'n': 11, 'trace_an': 0}
-
id: 47592216
{'hecke_orbit_code': 27022353728799125, 'n': 12, 'trace_an': 0}
-
id: 47592217
{'hecke_orbit_code': 27022353728799125, 'n': 13, 'trace_an': -40}
-
id: 47592218
{'hecke_orbit_code': 27022353728799125, 'n': 14, 'trace_an': 0}
-
id: 47592219
{'hecke_orbit_code': 27022353728799125, 'n': 15, 'trace_an': 0}
-
id: 47592220
{'hecke_orbit_code': 27022353728799125, 'n': 16, 'trace_an': -76}
-
id: 47592221
{'hecke_orbit_code': 27022353728799125, 'n': 17, 'trace_an': 0}
-
id: 47592222
{'hecke_orbit_code': 27022353728799125, 'n': 18, 'trace_an': 0}
-
id: 47592223
{'hecke_orbit_code': 27022353728799125, 'n': 19, 'trace_an': 0}
-
id: 47592224
{'hecke_orbit_code': 27022353728799125, 'n': 20, 'trace_an': 0}
-
id: 47592225
{'hecke_orbit_code': 27022353728799125, 'n': 21, 'trace_an': 0}
-
id: 47592226
{'hecke_orbit_code': 27022353728799125, 'n': 22, 'trace_an': 100}
-
id: 47592227
{'hecke_orbit_code': 27022353728799125, 'n': 23, 'trace_an': 0}
-
id: 47592228
{'hecke_orbit_code': 27022353728799125, 'n': 24, 'trace_an': 0}
-
id: 47592229
{'hecke_orbit_code': 27022353728799125, 'n': 25, 'trace_an': 80}
-
id: 47592230
{'hecke_orbit_code': 27022353728799125, 'n': 26, 'trace_an': 0}
-
id: 47592231
{'hecke_orbit_code': 27022353728799125, 'n': 27, 'trace_an': 0}
-
id: 47592232
{'hecke_orbit_code': 27022353728799125, 'n': 28, 'trace_an': 40}
-
id: 47592233
{'hecke_orbit_code': 27022353728799125, 'n': 29, 'trace_an': 0}
-
id: 47592234
{'hecke_orbit_code': 27022353728799125, 'n': 30, 'trace_an': 0}
-
id: 47592235
{'hecke_orbit_code': 27022353728799125, 'n': 31, 'trace_an': -32}
-
id: 47592236
{'hecke_orbit_code': 27022353728799125, 'n': 32, 'trace_an': 0}
-
id: 47592237
{'hecke_orbit_code': 27022353728799125, 'n': 33, 'trace_an': 0}
-
id: 47592238
{'hecke_orbit_code': 27022353728799125, 'n': 34, 'trace_an': 0}
-
id: 47592239
{'hecke_orbit_code': 27022353728799125, 'n': 35, 'trace_an': 0}
-
id: 47592240
{'hecke_orbit_code': 27022353728799125, 'n': 36, 'trace_an': 0}
-
id: 47592241
{'hecke_orbit_code': 27022353728799125, 'n': 37, 'trace_an': 80}
-
id: 47592242
{'hecke_orbit_code': 27022353728799125, 'n': 38, 'trace_an': 0}
-
id: 47592243
{'hecke_orbit_code': 27022353728799125, 'n': 39, 'trace_an': 0}
-
id: 47592244
{'hecke_orbit_code': 27022353728799125, 'n': 40, 'trace_an': -120}
-
id: 47592245
{'hecke_orbit_code': 27022353728799125, 'n': 41, 'trace_an': 0}
-
id: 47592246
{'hecke_orbit_code': 27022353728799125, 'n': 42, 'trace_an': 0}
-
id: 47592247
{'hecke_orbit_code': 27022353728799125, 'n': 43, 'trace_an': -40}
-
id: 47592248
{'hecke_orbit_code': 27022353728799125, 'n': 44, 'trace_an': 0}
-
id: 47592249
{'hecke_orbit_code': 27022353728799125, 'n': 45, 'trace_an': 0}
-
id: 47592250
{'hecke_orbit_code': 27022353728799125, 'n': 46, 'trace_an': -80}
-
id: 47592251
{'hecke_orbit_code': 27022353728799125, 'n': 47, 'trace_an': 0}
-
id: 47592252
{'hecke_orbit_code': 27022353728799125, 'n': 48, 'trace_an': 0}
-
id: 47592253
{'hecke_orbit_code': 27022353728799125, 'n': 49, 'trace_an': 0}
-
id: 47592254
{'hecke_orbit_code': 27022353728799125, 'n': 50, 'trace_an': 0}
-
id: 47592255
{'hecke_orbit_code': 27022353728799125, 'n': 51, 'trace_an': 0}
-
id: 47592256
{'hecke_orbit_code': 27022353728799125, 'n': 52, 'trace_an': -40}
-
id: 47592257
{'hecke_orbit_code': 27022353728799125, 'n': 53, 'trace_an': 0}
-
id: 47592258
{'hecke_orbit_code': 27022353728799125, 'n': 54, 'trace_an': 0}
-
id: 47592259
{'hecke_orbit_code': 27022353728799125, 'n': 55, 'trace_an': -200}
-
id: 47592260
{'hecke_orbit_code': 27022353728799125, 'n': 56, 'trace_an': 0}
-
id: 47592261
{'hecke_orbit_code': 27022353728799125, 'n': 57, 'trace_an': 0}
-
id: 47592262
{'hecke_orbit_code': 27022353728799125, 'n': 58, 'trace_an': 300}
-
id: 47592263
{'hecke_orbit_code': 27022353728799125, 'n': 59, 'trace_an': 0}
-
id: 47592264
{'hecke_orbit_code': 27022353728799125, 'n': 60, 'trace_an': 0}
-
id: 47592265
{'hecke_orbit_code': 27022353728799125, 'n': 61, 'trace_an': 232}
-
id: 47592266
{'hecke_orbit_code': 27022353728799125, 'n': 62, 'trace_an': 0}
-
id: 47592267
{'hecke_orbit_code': 27022353728799125, 'n': 63, 'trace_an': 0}
-
id: 47592268
{'hecke_orbit_code': 27022353728799125, 'n': 64, 'trace_an': 0}
-
id: 47592269
{'hecke_orbit_code': 27022353728799125, 'n': 65, 'trace_an': 0}
-
id: 47592270
{'hecke_orbit_code': 27022353728799125, 'n': 66, 'trace_an': 0}
-
id: 47592271
{'hecke_orbit_code': 27022353728799125, 'n': 67, 'trace_an': -280}
-
id: 47592272
{'hecke_orbit_code': 27022353728799125, 'n': 68, 'trace_an': 0}
-
id: 47592273
{'hecke_orbit_code': 27022353728799125, 'n': 69, 'trace_an': 0}
-
id: 47592274
{'hecke_orbit_code': 27022353728799125, 'n': 70, 'trace_an': -300}
-
id: 47592275
{'hecke_orbit_code': 27022353728799125, 'n': 71, 'trace_an': 0}
-
id: 47592276
{'hecke_orbit_code': 27022353728799125, 'n': 72, 'trace_an': 0}
-
id: 47592277
{'hecke_orbit_code': 27022353728799125, 'n': 73, 'trace_an': 440}
-
id: 47592278
{'hecke_orbit_code': 27022353728799125, 'n': 74, 'trace_an': 0}
-
id: 47592279
{'hecke_orbit_code': 27022353728799125, 'n': 75, 'trace_an': 0}
-
id: 47592280
{'hecke_orbit_code': 27022353728799125, 'n': 76, 'trace_an': 72}
-
id: 47592281
{'hecke_orbit_code': 27022353728799125, 'n': 77, 'trace_an': 0}
-
id: 47592282
{'hecke_orbit_code': 27022353728799125, 'n': 78, 'trace_an': 0}
-
id: 47592283
{'hecke_orbit_code': 27022353728799125, 'n': 79, 'trace_an': 0}
-
id: 47592284
{'hecke_orbit_code': 27022353728799125, 'n': 80, 'trace_an': 0}
-
id: 47592285
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