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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': 16, 'field_disc': 1476579744921405198177713258496, 'field_disc_factorization': [[2, 24], [3, 12], [20173, 4]], 'field_poly': [2560000, 896000, 156800, 470880, -149596, -149540, 130, -24066, 19069, 3204, -98, 482, -109, -36, 2, -2, 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, [2560000, 896000, 156800, 470880, -149596, -149540, 130, -24066, 19069, 3204, -98, 482, -109, -36, 2, -2, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49540351865651605, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 324, 'hecke_ring_index_factorization': [[2, 2], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 9, 3, 1, 3, 0], [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.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, 'minimal_twist': '405.3.g.c', 'prim_orbit_index': 11, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{3}+3\\beta _{5}-\\beta _{6}+\\beta _{12})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, '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, 2, -26], 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mf_hecke_cc • Show schema
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0.010673153187794307, -0.26795850009944844, -0.35556035900220745, -0.3214111702384582, 0.004538518868449141, 0.007355742921907843, -0.16837921335974215, -0.06125067902521438, -0.25539554210638993, -0.29768552510793145, -0.28509920937559874, -0.4469366456407833, -0.20272265081841703, -0.3671977320353219, -0.42117736410671797, -0.2743651843603863, -0.4967691122608403, 0.08367494894079464, -0.17299971685734494, -0.21824931769223557, -0.14852186630062725, -0.3290853920521028, -0.4818958147273949, -0.3320389359370029, -0.0774209520810946, -0.3538743406662353, -0.009512232651306681, -0.20379879087992445, -0.1282372679185649], 'char_orbit_index': 12, 'conrey_index': 217, 'dual_conrey_index': 28, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 7, 'embedding_root_imag': -0.5509067702980481, 'embedding_root_real': 2.0560120569859923, 'hecke_orbit': 12, 'hecke_orbit_code': 49540351865651605, 'label': '405.3.l.l.217.3', 'level': 405, 'weight': 3}
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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_cc • Show schema
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id: 47436948
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 217, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49540351865651605, 'target_is_minimal': False, 'target_label': '405.3.l.l.217.3', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 47436949
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 217, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036752238281109, 'target_is_minimal': False, 'target_label': '405.3.l.k.217.2', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 47436950
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 298, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540351865651605, 'target_is_minimal': False, 'target_label': '405.3.l.l.298.2', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 47436951
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 82, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014810876674453, 'target_is_minimal': True, 'target_label': '405.3.g.e.82.3', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 47436952
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 352, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540351865651605, 'target_is_minimal': False, 'target_label': '405.3.l.l.352.2', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 47436953
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 352, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036752238281109, 'target_is_minimal': False, 'target_label': '405.3.l.k.352.3', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 47436954
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 82, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611621933461, 'target_is_minimal': True, 'target_label': '405.3.g.c.82.2', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 47436955
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 298, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036752238281109, 'target_is_minimal': False, 'target_label': '405.3.l.k.298.3', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 47436956
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 28, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49540351865651605, 'target_is_minimal': False, 'target_label': '405.3.l.l.28.3', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 3}
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id: 47436957
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 28, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036752238281109, 'target_is_minimal': False, 'target_label': '405.3.l.k.28.2', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 3}
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id: 47436958
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 163, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014810876674453, 'target_is_minimal': True, 'target_label': '405.3.g.e.163.3', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 3}
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id: 47436959
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49540351865651605, 'source_is_minimal': False, 'source_label': '405.3.l.l.217.3', 'source_level': 405, 'target_conrey_index': 163, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611621933461, 'target_is_minimal': True, 'target_label': '405.3.g.c.163.2', 'target_level': 405, 'twist_class_label': '405.3.g.c.82.2', 'twist_class_level': 405, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 845675
{'charpoly_factorization': [[[2560000, 896000, 156800, 470880, -149596, -149540, 130, -24066, 19069, 3204, -98, 482, -109, -36, 2, -2, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 2}
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id: 845676
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 49540351865651605, 'p': 3}
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id: 845677
{'charpoly_factorization': [[[152587890625, -12207031250, 16113281250, 781250000, 680468750, 121406250, 35710000, 4041550, 1925091, 161662, 57136, 7770, 1742, 80, 66, -2, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 5}
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id: 845678
{'charpoly_factorization': [[[655360000, 1417216000, 1532364800, 1560343680, 1379896004, 786170348, 331123858, 126284886, 39660277, 8943912, 1624582, 268714, 36203, 3708, 338, 26, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 7}
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id: 845679
{'charpoly_factorization': [[[181710400, -58664960, 24803704, 1623520, 219265, 4354, 535, 10, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 11}
-
id: 845680
{'charpoly_factorization': [[[203295582846976, -139119646736384, 47601319804928, -19169893367808, 6168045667328, -1014562724608, 153869055520, -26227034616, 617188849, 302719092, -15378200, 1600864, 164423, -13704, 392, -28, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 13}
-
id: 845681
{'charpoly_factorization': [[[109160704, 66407488, 20199368, 892792, 26980, 3392, 722, 38, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 17}
-
id: 845682
{'charpoly_factorization': [[[1071225, 0, 8304876, 0, 222318, 0, 1020, 0, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 19}
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id: 845683
{'charpoly_factorization': [[[648891347002229776, -32556594959170432, 816725234688512, 1781329959619392, -343932273217012, -2995715867024, 3028236847744, -488166286296, 95587665829, -9579502884, 632182024, -42099616, 2282963, -78072, 2312, -68, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 23}
-
id: 845684
{'charpoly_factorization': [[[3626739360000, 0, -80593552886400, 0, 1785123106188336, 0, -129544215575400, 0, 9214130252097, 0, -11358967338, 0, 10911219, 0, -3738, 0, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 29}
-
id: 845685
{'charpoly_factorization': [[[175304665636, -18467754952, 1821163546, -61668580, 3065167, -70990, 3661, -58, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 31}
-
id: 845686
{'charpoly_factorization': [[[349328281600, 28190243840, 1137454208, -42564352, 1104064, 27904, 1250, -50, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 37}
-
id: 845687
{'charpoly_factorization': [[[6380654641, -11625429902, 20519911324, -1179812876, 45483517, -1017164, 16684, -158, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 41}
-
id: 845688
{'charpoly_factorization': [[[164658005708701696, -433584156811575296, 570865717184104448, -1423375711091719680, 1872652256049570368, -131080156174018624, 4861672305310240, -365401912995744, 11989311697408, 97744535184, -2424226760, 140608744, -2773312, -38820, 578, -34, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 43}
-
id: 845689
{'charpoly_factorization': [[[979818684220551860612632576, -124441062519904228155894784, 7902267169665950866713728, -395558716134102354056544, 17408589292039167608612, -623014723502011438292, 18569394290290434610, -495075681307904346, 11360833345107013, -213042020311632, 3442524822310, -49530520966, 584266187, -5500548, 45602, -302, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 47}
-
id: 845690
{'charpoly_factorization': [[[376151609344, 217427690368, 62840088098, -926295122, 6708865, -22108, 6962, -118, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 53}
-
id: 845691
{'charpoly_factorization': [[[8162713263177833328081, 0, -10883829718084429738332, 0, 14503945816469725252866, 0, -10810213101886068720, 0, 5962592493913707, 0, -1319862152880, 0, 212579826, 0, -17388, 0, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 59}
-
id: 845692
{'charpoly_factorization': [[[16609863270400, 1684200488960, 145416024064, 3027687296, 65930692, 478064, 9358, 56, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 61}
-
id: 845693
{'charpoly_factorization': [[[8844164753091255365472256, 3434964077593585549041664, 667048757217820705169408, 213457587204485611450368, 41053358113718491751168, 1412186154425130503168, 28073648158216645120, 769030483618098816, 13554052214346064, 80009927843328, 717426728320, 5542339936, -138719572, -1156416, 32, 8, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 67}
-
id: 845694
{'charpoly_factorization': [[[-1371818, 18440, 3861, -124, 1], 4]], 'hecke_orbit_code': 49540351865651605, 'p': 71}
-
id: 845695
{'charpoly_factorization': [[[92297676980224, 9032275066880, 441950412800, -11022266368, 136536064, -16640, 2738, -74, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 73}
-
id: 845696
{'charpoly_factorization': [[[83045034905018128715993884655616, 0, -44462226354398824488426160128, 0, 16871206281591525624688896, 0, -2860269200291798418240, 0, 341720091122715792, 0, -25814566447200, 0, 1424869836, 0, -46752, 0, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 79}
-
id: 845697
{'charpoly_factorization': [[[489678023069832797906599936, -67242101058453003131502592, 4616809354042010023872512, -253782647841029866621440, 12317741376628203475520, -479020071378410109632, 15406998594039832864, -444323286329114592, 10900562140103296, -213622995022032, 3575558033464, -53177689192, 630364160, -5702940, 45602, -302, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 83}
-
id: 845698
{'charpoly_factorization': [[[2125755859046400, 0, 1825290232704, 0, 407803329, 0, 34626, 0, 1], 2]], 'hecke_orbit_code': 49540351865651605, 'p': 89}
-
id: 845699
{'charpoly_factorization': [[[1436917683425592149679712239616, 35231278564958619741636788224, 431911654939970656972832768, 17355237501162672541925376, 161487090841577842540544, -2290489200854972760064, 109341419147100160, -614358388053245952, -12619292272455680, 98940593703936, 612004754560, 28803742048, 392432804, -4889988, 15842, -178, 1], 1]], 'hecke_orbit_code': 49540351865651605, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 12, 'label': '405.3.l.l', 'level': 405, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
-
id: 56969731
{'hecke_orbit_code': 49540351865651605, 'n': 1, 'trace_an': 16}
-
id: 56969732
{'hecke_orbit_code': 49540351865651605, 'n': 2, 'trace_an': 2}
-
id: 56969733
{'hecke_orbit_code': 49540351865651605, 'n': 3, 'trace_an': 0}
-
id: 56969734
{'hecke_orbit_code': 49540351865651605, 'n': 4, 'trace_an': 0}
-
id: 56969735
{'hecke_orbit_code': 49540351865651605, 'n': 5, 'trace_an': 2}
-
id: 56969736
{'hecke_orbit_code': 49540351865651605, 'n': 6, 'trace_an': 0}
-
id: 56969737
{'hecke_orbit_code': 49540351865651605, 'n': 7, 'trace_an': -26}
-
id: 56969738
{'hecke_orbit_code': 49540351865651605, 'n': 8, 'trace_an': 72}
-
id: 56969739
{'hecke_orbit_code': 49540351865651605, 'n': 9, 'trace_an': 0}
-
id: 56969740
{'hecke_orbit_code': 49540351865651605, 'n': 10, 'trace_an': 52}
-
id: 56969741
{'hecke_orbit_code': 49540351865651605, 'n': 11, 'trace_an': -20}
-
id: 56969742
{'hecke_orbit_code': 49540351865651605, 'n': 12, 'trace_an': 0}
-
id: 56969743
{'hecke_orbit_code': 49540351865651605, 'n': 13, 'trace_an': 28}
-
id: 56969744
{'hecke_orbit_code': 49540351865651605, 'n': 14, 'trace_an': 0}
-
id: 56969745
{'hecke_orbit_code': 49540351865651605, 'n': 15, 'trace_an': 0}
-
id: 56969746
{'hecke_orbit_code': 49540351865651605, 'n': 16, 'trace_an': 76}
-
id: 56969747
{'hecke_orbit_code': 49540351865651605, 'n': 17, 'trace_an': -76}
-
id: 56969748
{'hecke_orbit_code': 49540351865651605, 'n': 18, 'trace_an': 0}
-
id: 56969749
{'hecke_orbit_code': 49540351865651605, 'n': 19, 'trace_an': 0}
-
id: 56969750
{'hecke_orbit_code': 49540351865651605, 'n': 20, 'trace_an': 12}
-
id: 56969751
{'hecke_orbit_code': 49540351865651605, 'n': 21, 'trace_an': 0}
-
id: 56969752
{'hecke_orbit_code': 49540351865651605, 'n': 22, 'trace_an': -10}
-
id: 56969753
{'hecke_orbit_code': 49540351865651605, 'n': 23, 'trace_an': 68}
-
id: 56969754
{'hecke_orbit_code': 49540351865651605, 'n': 24, 'trace_an': 0}
-
id: 56969755
{'hecke_orbit_code': 49540351865651605, 'n': 25, 'trace_an': -128}
-
id: 56969756
{'hecke_orbit_code': 49540351865651605, 'n': 26, 'trace_an': -248}
-
id: 56969757
{'hecke_orbit_code': 49540351865651605, 'n': 27, 'trace_an': 0}
-
id: 56969758
{'hecke_orbit_code': 49540351865651605, 'n': 28, 'trace_an': -280}
-
id: 56969759
{'hecke_orbit_code': 49540351865651605, 'n': 29, 'trace_an': 0}
-
id: 56969760
{'hecke_orbit_code': 49540351865651605, 'n': 30, 'trace_an': 0}
-
id: 56969761
{'hecke_orbit_code': 49540351865651605, 'n': 31, 'trace_an': 116}
-
id: 56969762
{'hecke_orbit_code': 49540351865651605, 'n': 32, 'trace_an': -232}
-
id: 56969763
{'hecke_orbit_code': 49540351865651605, 'n': 33, 'trace_an': 0}
-
id: 56969764
{'hecke_orbit_code': 49540351865651605, 'n': 34, 'trace_an': 0}
-
id: 56969765
{'hecke_orbit_code': 49540351865651605, 'n': 35, 'trace_an': -28}
-
id: 56969766
{'hecke_orbit_code': 49540351865651605, 'n': 36, 'trace_an': 0}
-
id: 56969767
{'hecke_orbit_code': 49540351865651605, 'n': 37, 'trace_an': 100}
-
id: 56969768
{'hecke_orbit_code': 49540351865651605, 'n': 38, 'trace_an': 66}
-
id: 56969769
{'hecke_orbit_code': 49540351865651605, 'n': 39, 'trace_an': 0}
-
id: 56969770
{'hecke_orbit_code': 49540351865651605, 'n': 40, 'trace_an': -228}
-
id: 56969771
{'hecke_orbit_code': 49540351865651605, 'n': 41, 'trace_an': 316}
-
id: 56969772
{'hecke_orbit_code': 49540351865651605, 'n': 42, 'trace_an': 0}
-
id: 56969773
{'hecke_orbit_code': 49540351865651605, 'n': 43, 'trace_an': 34}
-
id: 56969774
{'hecke_orbit_code': 49540351865651605, 'n': 44, 'trace_an': 0}
-
id: 56969775
{'hecke_orbit_code': 49540351865651605, 'n': 45, 'trace_an': 0}
-
id: 56969776
{'hecke_orbit_code': 49540351865651605, 'n': 46, 'trace_an': -16}
-
id: 56969777
{'hecke_orbit_code': 49540351865651605, 'n': 47, 'trace_an': 302}
-
id: 56969778
{'hecke_orbit_code': 49540351865651605, 'n': 48, 'trace_an': 0}
-
id: 56969779
{'hecke_orbit_code': 49540351865651605, 'n': 49, 'trace_an': 0}
-
id: 56969780
{'hecke_orbit_code': 49540351865651605, 'n': 50, 'trace_an': -22}
-
id: 56969781
{'hecke_orbit_code': 49540351865651605, 'n': 51, 'trace_an': 0}
-
id: 56969782
{'hecke_orbit_code': 49540351865651605, 'n': 52, 'trace_an': 28}
-
id: 56969783
{'hecke_orbit_code': 49540351865651605, 'n': 53, 'trace_an': 236}
-
id: 56969784
{'hecke_orbit_code': 49540351865651605, 'n': 54, 'trace_an': 0}
-
id: 56969785
{'hecke_orbit_code': 49540351865651605, 'n': 55, 'trace_an': 332}
-
id: 56969786
{'hecke_orbit_code': 49540351865651605, 'n': 56, 'trace_an': -420}
-
id: 56969787
{'hecke_orbit_code': 49540351865651605, 'n': 57, 'trace_an': 0}
-
id: 56969788
{'hecke_orbit_code': 49540351865651605, 'n': 58, 'trace_an': 318}
-
id: 56969789
{'hecke_orbit_code': 49540351865651605, 'n': 59, 'trace_an': 0}
-
id: 56969790
{'hecke_orbit_code': 49540351865651605, 'n': 60, 'trace_an': 0}
-
id: 56969791
{'hecke_orbit_code': 49540351865651605, 'n': 61, 'trace_an': -112}
-
id: 56969792
{'hecke_orbit_code': 49540351865651605, 'n': 62, 'trace_an': 580}
-
id: 56969793
{'hecke_orbit_code': 49540351865651605, 'n': 63, 'trace_an': 0}
-
id: 56969794
{'hecke_orbit_code': 49540351865651605, 'n': 64, 'trace_an': 0}
-
id: 56969795
{'hecke_orbit_code': 49540351865651605, 'n': 65, 'trace_an': -112}
-
id: 56969796
{'hecke_orbit_code': 49540351865651605, 'n': 66, 'trace_an': 0}
-
id: 56969797
{'hecke_orbit_code': 49540351865651605, 'n': 67, 'trace_an': -8}
-
id: 56969798
{'hecke_orbit_code': 49540351865651605, 'n': 68, 'trace_an': 76}
-
id: 56969799
{'hecke_orbit_code': 49540351865651605, 'n': 69, 'trace_an': 0}
-
id: 56969800
{'hecke_orbit_code': 49540351865651605, 'n': 70, 'trace_an': -168}
-
id: 56969801
{'hecke_orbit_code': 49540351865651605, 'n': 71, 'trace_an': 496}
-
id: 56969802
{'hecke_orbit_code': 49540351865651605, 'n': 72, 'trace_an': 0}
-
id: 56969803
{'hecke_orbit_code': 49540351865651605, 'n': 73, 'trace_an': 148}
-
id: 56969804
{'hecke_orbit_code': 49540351865651605, 'n': 74, 'trace_an': 0}
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