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mf_newforms • Show schema
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{'Nk2': 1512, 'analytic_conductor': 6.736120432145187, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [42, 3, [29, 31], [3, 2]], 'cm_discs': [], 'conrey_index': 25, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [7396, 86, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874605940778, 'hecke_ring_generator_nbound': 3, '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, 7, 3, 1, 3, 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': '42.6.e.b', 'level': 42, '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': True, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '42.6.e.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(4-4\\zeta_{6})q^{2}+9\\zeta_{6}q^{3}-2^{4}\\zeta_{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '5.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '42.6.e', 'trace_display': [4, 9, -86, 49], 'trace_hash': 537632560320852403, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.928', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.971', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [4, -4], [0, 9], [0, -16], [-86, 86], [36, 0], [-49, 147], [-64, 0], [-81, 81], [0, 344], [0, -34], [144, -144], [-3, 0], [392, 196], [-774, 0], [-256, 256], [0, 1904], [0, 324], [1489, -1489], [1376, 0], [-1323, 882], [-136, 0], [224, -224], [0, -576], [0, -4271], [-12, 12], [-729, 0], [2352, -1568], [-6508, 0], [-3096, 3096], [0, -1731], [0, 1024], [306, -306], [7616, 0], [-8428, -4214], [1296, 0], [7633, -7633], [0, -5956], [0, -27], [5504, -5504], [15414, 0], [-1764, 5292], [18491, 0], [-544, 544], [0, -6966], [0, -896], [-18462, 18462], [-2304, 0], [-19208, 7203], [-17084, 0], [-17136, 17136], [0, 48], [0, 19956], [-2916, 2916], [2924, 0], [3136, -9408], [13401, 0], [-26032, 26032], [0, 31828], [0, 12384], [57654, -57654], [-6924, 0], [-7938, -3969], [4096, 0], [258, -258], [0, -1224], [0, 60563], [30464, -30464], [2016, 0], [-50568, 33712], [-44834, 0], [5184, -5184], [0, -20821], [0, -30532], [38439, -38439], [-23824, 0], [4998, -3332], [-108, 0], [30531, -30531], [0, -22016], [0, -6561], [61656, -61656], [110602, 0], [14112, 7056], [-163744, 0], [73964, -73964], [0, -58572], [0, 2176], [58992, -58992], [-27864, 0], [147, -441], [-3584, 0], [15579, -15579], [0, 73848], [0, 128054], [-9216, 9216], [-119846, 0], [-48020, 76832], [2754, 0], [-68336, 68336]], 'ap': [[4, -4], [0, 9], [-86, 86], [-49, 147], [0, -34], [-3, 0], [0, 1904], [1489, -1489], [224, -224], [-6508, 0], [0, -1731], [7633, -7633], [15414, 0], [18491, 0], [-18462, 18462], [0, 19956], [0, 31828], [57654, -57654], [0, 60563], [-44834, 0], [0, -20821], [30531, -30531], [110602, 0], [58992, -58992], [-119846, 0], [0, -100010], [-121691, 121691], [48648, -48648], [0, 152075], [-60886, 0], [-151965, 0], [-235502, 235502], [0, -325508], [3211, 0], [151884, -151884], [0, -76648], [0, 389710], [112372, -112372], [52550, 0], [135256, -135256], [0, -250638], [199233, 0], [238770, -238770], [0, -85691], [-71408, 0], [0, 711352], [-260260, 0], [105656, 0], [0, -654750], [-557713, 557713], [1247594, -1247594], [-496926, 0], [0, 277618], [-308328, 0], [-408762, 408762], [0, -1088124], [0, 668290], [830664, -830664], [0, -925073], [1336348, 0], [0, 992957], [563544, 0], [2827033, 0], [0, 1127314], [2360129, -2360129], [2224200, -2224200], [3703039, -3703039], [1214325, 0], [0, 977904], [511282, 0], [0, -3027522], [-4594556, 4594556], [0, 1112731], [2458949, -2458949], [-4101299, 0], [2594132, -2594132], [0, -2234066], [2063997, -2063997], [-1152828, 1152828], [0, -5934125], [771666, 0], [-2875419, 0], [0, 137862], [1565255, 0], [-4881576, 4881576], [1301516, -1301516], [-3131410, 0], [-6492685, 6492685], [5347172, 0], [3372853, 0], [-2234522, 2234522], [0, 2521364], [0, -1916717], [5828748, 0], [10004861, -10004861], [1136658, 0], [-4019370, 4019370], [0, 5520276], [-8944721, 8944721], [-849057, 849057], [8613396, 0], [0, -7798790], [0, -1072714], [1015242, -1015242], [0, 6780933], [0, 3305369], [-11983328, 0], [5310198, -5310198], [0, -2422356], [-7106593, 0], [-17919405, 17919405], [0, -13979010], [-5255942, 0], [0, -1443013], [15172304, 0], [0, 144848], [-27469, 0], [0, -8557830], [-12503034, 12503034], [18047068, 0], [0, -3341443], [-8470657, 0], [-14655276, 14655276], [0, -19761612], [-13583237, 13583237], [-12991504, 0], [-1908734, 1908734], [11119974, -11119974], [8374057, 0], [-4644477, 4644477], [0, 11062329], [1972446, 0], [-15024639, 15024639], [-4724262, 0], [8578352, -8578352], [17616751, 0], [0, 1254202], [0, -7091208], [-2716296, 0], [0, 21873922], [-17235248, 0], [22619126, -22619126], [0, -1626328], [-22830450, 0], [0, -25859317], [-12306116, 0], [-19141609, 0], [0, 4755072], [9198760, -9198760], [17353186, -17353186], [35562182, -35562182], [-26305560, 0], [12039437, 0], [133590, -133590], [0, 12747579], [24325272, 0], [38480459, -38480459], [-39667806, 39667806], [14842751, 0], [0, -46706300], [-40237946, 40237946], [24557884, 0], [53431265, 0], [2814852, -2814852], [0, -25471278], [0, 2901348], [0, -2737835], [0, 27407905]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4503874605940778, 'hecke_ring_character_values': [[29, [1, 0]], [31, [-1, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '42.6.e.b', 'level': 42, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'Nk2': 1512, 'analytic_conductor': 6.736120432145187, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [42, 3, [29, 31], [3, 2]], 'conrey_index': 25, 'cusp_dim': 72, 'dim': 12, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274978570282, 'hecke_orbit_dims': [2, 2, 4, 4], 'label': '42.6.e', 'level': 42, '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': True, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 88, 'mf_new_dim': 12, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 6, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, -44, -234], 'traces': [12, 0, 0, -96, -44, -144, -234, 0, -486, 648, 296, 0, -3312, -704, -396, -1536, 2612, 0, 1020, 1408, 1764, -5232, 4964, 1152, -7404, 880, 0, 9504, 18376, 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mf_twists_nf • Show schema
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id: 34065
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '42.6.e.b', 'target_level': 42, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 34066
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '42.6.e.b', 'target_level': 42, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 34067
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '126.6.g.b', 'target_level': 126, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 34068
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '126.6.g.b', 'target_level': 126, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 6}
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id: 34069
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '294.6.a.d', 'target_level': 294, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 34070
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '294.6.a.e', 'target_level': 294, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 34071
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '294.6.e.m', 'target_level': 294, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 34072
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '294.6.e.m', 'target_level': 294, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 34073
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '336.6.q.a', 'target_level': 336, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 34074
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '336.6.q.a', 'target_level': 336, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 6}
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id: 34075
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.6.a.m', 'target_level': 882, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 6}
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id: 34076
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '42.6.e.b', 'source_level': 42, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '882.6.a.y', 'target_level': 882, 'twist_class_label': '42.6.e.b', 'twist_class_level': 42, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 143425
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 2}
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id: 143426
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 3}
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id: 143427
{'charpoly_factorization': [[[7396, 86, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 5}
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id: 143428
{'charpoly_factorization': [[[16807, -49, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 7}
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id: 143429
{'charpoly_factorization': [[[1156, 34, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 11}
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id: 143430
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4503874605940778, 'p': 13}
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id: 143431
{'charpoly_factorization': [[[3625216, -1904, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 17}
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id: 143432
{'charpoly_factorization': [[[2217121, -1489, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 19}
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id: 143433
{'charpoly_factorization': [[[50176, -224, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 23}
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id: 143434
{'charpoly_factorization': [[[6508, 1], 2]], 'hecke_orbit_code': 4503874605940778, 'p': 29}
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id: 143435
{'charpoly_factorization': [[[2996361, 1731, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 31}
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id: 143436
{'charpoly_factorization': [[[58262689, -7633, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 37}
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id: 143437
{'charpoly_factorization': [[[-15414, 1], 2]], 'hecke_orbit_code': 4503874605940778, 'p': 41}
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id: 143438
{'charpoly_factorization': [[[-18491, 1], 2]], 'hecke_orbit_code': 4503874605940778, 'p': 43}
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id: 143439
{'charpoly_factorization': [[[340845444, 18462, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 47}
-
id: 143440
{'charpoly_factorization': [[[398241936, -19956, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 53}
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id: 143441
{'charpoly_factorization': [[[1013021584, -31828, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 59}
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id: 143442
{'charpoly_factorization': [[[3323983716, -57654, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 61}
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id: 143443
{'charpoly_factorization': [[[3667876969, -60563, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 67}
-
id: 143444
{'charpoly_factorization': [[[44834, 1], 2]], 'hecke_orbit_code': 4503874605940778, 'p': 71}
-
id: 143445
{'charpoly_factorization': [[[433514041, 20821, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 73}
-
id: 143446
{'charpoly_factorization': [[[932141961, -30531, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 79}
-
id: 143447
{'charpoly_factorization': [[[-110602, 1], 2]], 'hecke_orbit_code': 4503874605940778, 'p': 83}
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id: 143448
{'charpoly_factorization': [[[3480056064, -58992, 1], 1]], 'hecke_orbit_code': 4503874605940778, 'p': 89}
-
id: 143449
{'charpoly_factorization': [[[119846, 1], 2]], 'hecke_orbit_code': 4503874605940778, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '42.6.e.b', 'level': 42, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 22233385
{'hecke_orbit_code': 4503874605940778, 'n': 1, 'trace_an': 2}
-
id: 22233386
{'hecke_orbit_code': 4503874605940778, 'n': 2, 'trace_an': 4}
-
id: 22233387
{'hecke_orbit_code': 4503874605940778, 'n': 3, 'trace_an': 9}
-
id: 22233388
{'hecke_orbit_code': 4503874605940778, 'n': 4, 'trace_an': -16}
-
id: 22233389
{'hecke_orbit_code': 4503874605940778, 'n': 5, 'trace_an': -86}
-
id: 22233390
{'hecke_orbit_code': 4503874605940778, 'n': 6, 'trace_an': 72}
-
id: 22233391
{'hecke_orbit_code': 4503874605940778, 'n': 7, 'trace_an': 49}
-
id: 22233392
{'hecke_orbit_code': 4503874605940778, 'n': 8, 'trace_an': -128}
-
id: 22233393
{'hecke_orbit_code': 4503874605940778, 'n': 9, 'trace_an': -81}
-
id: 22233394
{'hecke_orbit_code': 4503874605940778, 'n': 10, 'trace_an': 344}
-
id: 22233395
{'hecke_orbit_code': 4503874605940778, 'n': 11, 'trace_an': -34}
-
id: 22233396
{'hecke_orbit_code': 4503874605940778, 'n': 12, 'trace_an': 144}
-
id: 22233397
{'hecke_orbit_code': 4503874605940778, 'n': 13, 'trace_an': -6}
-
id: 22233398
{'hecke_orbit_code': 4503874605940778, 'n': 14, 'trace_an': 980}
-
id: 22233399
{'hecke_orbit_code': 4503874605940778, 'n': 15, 'trace_an': -1548}
-
id: 22233400
{'hecke_orbit_code': 4503874605940778, 'n': 16, 'trace_an': -256}
-
id: 22233401
{'hecke_orbit_code': 4503874605940778, 'n': 17, 'trace_an': 1904}
-
id: 22233402
{'hecke_orbit_code': 4503874605940778, 'n': 18, 'trace_an': 324}
-
id: 22233403
{'hecke_orbit_code': 4503874605940778, 'n': 19, 'trace_an': 1489}
-
id: 22233404
{'hecke_orbit_code': 4503874605940778, 'n': 20, 'trace_an': 2752}
-
id: 22233405
{'hecke_orbit_code': 4503874605940778, 'n': 21, 'trace_an': -1764}
-
id: 22233406
{'hecke_orbit_code': 4503874605940778, 'n': 22, 'trace_an': -272}
-
id: 22233407
{'hecke_orbit_code': 4503874605940778, 'n': 23, 'trace_an': 224}
-
id: 22233408
{'hecke_orbit_code': 4503874605940778, 'n': 24, 'trace_an': -576}
-
id: 22233409
{'hecke_orbit_code': 4503874605940778, 'n': 25, 'trace_an': -4271}
-
id: 22233410
{'hecke_orbit_code': 4503874605940778, 'n': 26, 'trace_an': -12}
-
id: 22233411
{'hecke_orbit_code': 4503874605940778, 'n': 27, 'trace_an': -1458}
-
id: 22233412
{'hecke_orbit_code': 4503874605940778, 'n': 28, 'trace_an': 3136}
-
id: 22233413
{'hecke_orbit_code': 4503874605940778, 'n': 29, 'trace_an': -13016}
-
id: 22233414
{'hecke_orbit_code': 4503874605940778, 'n': 30, 'trace_an': -3096}
-
id: 22233415
{'hecke_orbit_code': 4503874605940778, 'n': 31, 'trace_an': -1731}
-
id: 22233416
{'hecke_orbit_code': 4503874605940778, 'n': 32, 'trace_an': 1024}
-
id: 22233417
{'hecke_orbit_code': 4503874605940778, 'n': 33, 'trace_an': 306}
-
id: 22233418
{'hecke_orbit_code': 4503874605940778, 'n': 34, 'trace_an': 15232}
-
id: 22233419
{'hecke_orbit_code': 4503874605940778, 'n': 35, 'trace_an': -21070}
-
id: 22233420
{'hecke_orbit_code': 4503874605940778, 'n': 36, 'trace_an': 2592}
-
id: 22233421
{'hecke_orbit_code': 4503874605940778, 'n': 37, 'trace_an': 7633}
-
id: 22233422
{'hecke_orbit_code': 4503874605940778, 'n': 38, 'trace_an': -5956}
-
id: 22233423
{'hecke_orbit_code': 4503874605940778, 'n': 39, 'trace_an': -27}
-
id: 22233424
{'hecke_orbit_code': 4503874605940778, 'n': 40, 'trace_an': 5504}
-
id: 22233425
{'hecke_orbit_code': 4503874605940778, 'n': 41, 'trace_an': 30828}
-
id: 22233426
{'hecke_orbit_code': 4503874605940778, 'n': 42, 'trace_an': 1764}
-
id: 22233427
{'hecke_orbit_code': 4503874605940778, 'n': 43, 'trace_an': 36982}
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id: 22233428
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