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mf_newforms • Show schema
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{'Nk2': 7200, 'analytic_conductor': 26.550859502583275, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [450, 2, [101, 127], [2, 1]], 'cm_discs': [], 'conrey_index': 199, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 0, 1]], [11, [42, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137506062786, 'hecke_ring_generator_nbound': 7, '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, 5, 2, 1, 2, 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': False, 'label': '450.4.c.a', 'level': 450, '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': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '150.4.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-2 i q^{2}-4 q^{4}+i q^{7}+8 i q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.4.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1992585949300845149, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.884', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.751', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '143.962', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [2, 0, 0, -8, 0, 0, 0, 0, 0, 0, -84, 0, 0, 4, 0, 32, 0, 0, 230, 0, 0, 0, 0, 0, 0, -268, 0, 0, -420, 0, -386, 0, 0, 216, 0, 0, 0, 0, 0, 0, -24, 0, 0, 336, 0, 648, 0, 0, 684, 0, 0, 0, 0, 0, 0, -16, 0, 0, 1380, 0, -1466, 0, 0, -128, 0, 0, 0, 0, 0, 0, 456, 0, 0, 1144, 0, -920, 0, 0, 320, 0, 0, 0, 0, 0, 0, 1052, 0, 0, -480, 0, 134, 0, 0, 1656, 0, 0, 0, 0, 0, 0, -1824, 0, 0, 1072, 0, 768, 0, 0, 3470, 0, 0, 0, 0, 0, 0, 1680, 0, 0, -108, 0, 866, 0, 0, 1544, 0, 0, 0, 0, 0, 0, -3984, 0, 0, -1196, 0, -864, 0, 0, -5800, 0, 0, 0, 0, 0, 0, 3752, 0, 0, -4140, 0, 4474, 0, 0, -168, 0, 0, 0, 0, 0, 0, -324, 0, 0, 96, 0, 1848, 0, 0, -4584, 0, 0, 0, 0, 0, 0, -1344, 0, 0, -300, 0, 394, 0, 0, -2592, 0, 0, 0, 0, 0, 0, -2604, 0, 0, 2044, 0, -2736, 0, 0, -6850, 0, 0, 0, 0, 0, 0, 2672, 0, 0, -9660, 0, -4886, 0, 0, -5184, 0, 0, 0, 0, 0, 0, 7236, 0, 0, 64, 0, 4368, 0, 0, -3610, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -2], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 1], [0, 8], [0, 0], [0, 0], [-42, 0], [0, 0], [0, -67], [2, 0], [0, 0], [16, 0], [0, 54], [0, 0], [115, 0], [0, 0], [0, 0], [0, 84], [0, 162], [0, 0], [0, 0], [-134, 0], [0, 0], [0, -4], [-210, 0], [0, 0], [-193, 0], [0, -32], [0, 0], [108, 0], [0, 0], [0, 0], [0, 286], [0, -230], [0, 0], [0, 0], [-12, 0], [0, 0], [0, 263], [168, 0], [0, 0], [324, 0], [0, 414], [0, 0], [342, 0], [0, 0], [0, 0], [0, 268], [0, 192], [0, 0], [0, 0], [-8, 0], [0, 0], [0, 420], [690, 0], [0, 0], [-733, 0], [0, 386], [0, 0], [-64, 0], [0, 0], [0, 0], [0, -299], [0, -216], [0, 0], [0, 0], [228, 0], [0, 0], [0, 938], [572, 0], [0, 0], [-460, 0], [0, -42], [0, 0], [160, 0], [0, 0], [0, 0], [0, 24], [0, 462], [0, 0], [0, 0], [526, 0], [0, 0], [0, -336], [-240, 0], [0, 0], [67, 0], [0, -648], [0, 0], [828, 0], [0, 0], [0, 0], [0, 511], [0, -684], [0, 0], [0, 0]], 'ap': [[0, -2], [0, 0], [0, 0], [0, 1], [-42, 0], [0, -67], [0, 54], [115, 0], [0, 162], [-210, 0], [-193, 0], [0, 286], [-12, 0], [0, 263], [0, 414], [0, 192], [690, 0], [-733, 0], [0, -299], [228, 0], [0, 938], [160, 0], [0, 462], [-240, 0], [0, 511], [-912, 0], [0, 668], [0, -1296], [1735, 0], [0, 1092], [0, 16], [-1992, 0], [0, -2346], [-2900, 0], [-2070, 0], [2237, 0], [0, 241], [0, -3547], [0, 984], [0, -3618], [-150, 0], [197, 0], [-1302, 0], [0, 4163], [0, 3054], [-3425, 0], [-2443, 0], [0, 23], [0, -1956], [-1805, 0], [0, -3468], [2640, 0], [-5383, 0], [5028, 0], [0, 564], [0, 1812], [-5190, 0], [4592, 0], [0, 2191], [-7842, 0], [0, -247], [0, 5442], [0, 3871], [5718, 0], [0, -3637], [0, -1296], [5132, 0], [0, 6751], [0, -5226], [6190, 0], [0, -6618], [-3420, 0], [0, 871], [0, 6383], [9865, 0], [0, -9828], [12540, 0], [0, 1381], [-14232, 0], [-2645, 0], [3000, 0], [-11338, 0], [3258, 0], [0, 1163], [-6695, 0], [0, -16368], [16380, 0], [0, 13786], [-11832, 0], [0, 3008], [0, 4434], [7410, 0], [0, 8671], [19368, 0], [8875, 0], [0, 10452], [-19770, 0], [11238, 0], [0, -7447], [-17623, 0], [0, 10096], [0, 14514], [0, 10242], [-6750, 0], [17117, 0], [0, 301], [0, -15456], [0, 9492], [1500, 0], [14627, 0], [0, -16184], [0, -18502], [0, -13896], [9895, 0], [467, 0], [-30612, 0], [0, -1852], [0, -21156], [0, 9702], [1980, 0], [-20158, 0], [0, -16882], [0, 20934], [0, 8712], [-14128, 0], [28278, 0], [-8885, 0], [-7530, 0], [0, 1801], [0, -7882], [-33860, 0], [0, 20652], [7472, 0], [0, 32251], [-16812, 0], [34645, 0], [0, 8412], [0, -18329], [0, 16044], [-24000, 0], [5117, 0], [-13542, 0], [0, 1283], [0, 16344], [790, 0], [-9990, 0], [0, 24743], [0, -23556], [34000, 0], [0, 37032], [0, -2519], [-43992, 0], [0, -19177], [0, 44994], [0, 52396], [-7242, 0], [-4085, 0], [-3030, 0], [0, -5759], [258, 0], [0, 1374], [0, -9288], [0, 21616], [19098, 0], [0, -18246], [0, 38772], [-23053, 0], [0, 10366]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 137506062786, 'hecke_ring_character_values': [[101, [1, 0]], [127, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '450.4.c.a', 'level': 450, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 7200, 'analytic_conductor': 26.550859502583275, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [450, 2, [101, 127], [2, 1]], 'conrey_index': 199, 'cusp_dim': 246, 'dim': 22, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 137506062786, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '450.4.c', 'level': 450, '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': [2, 3, 5], 'level_radical': 30, 'mf_dim': 294, 'mf_new_dim': 22, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 22, 'sturm_bound': 360, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [22, 0, 0, -88, 0, 0, 0, 0, 0, 0, 90, 0, 0, -136, 0, 352, 0, 0, 82, 0, 0, 0, 0, 0, 0, -32, 0, 0, -816, 0, -460, 0, 0, 204, 0, 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7648, 0, 0, -25986, 0, 53064, 0, 0, 4512, 0, 0, 0, 0, 0, 0, -247668, 0, 0, -71488, 0, 41024, 0, 0, -179640, 0, 0, 0, 0, 0, 0, 148544, 0, 0, -127644, 0, -78112, 0, 0, -216504, 0, 0, 0, 0, 0, 0, 250668, 0, 0, -3136, 0, -39456, 0, 0, 62320, 0, 0, 0, 0, 0, 0, 91800, 0, 0, -198216, 0, 164434, 0, 0, 90808, 0, 0, 0, 0, 0, 0, -141960, 0, 0, 63760, 0, -63888, 0, 0, 130234, 0, 0, 0, 0, 0, 0, 26764, 0, 0, -10980, 0, 9856, 0, 0, 20520, 0, 0, 0, 0, 0, 0, -129564, 0, 0, -97728, 0, -13836, 0, 0, -39208, 0, 0, 0, 0, 0, 0, 8704, 0, 0, 217752, 0, -171396, 0, 0, -40176, 0, 0, 0, 0, 0, 0, 21792, 0, 0, -16156, 0, -92128, 0, 0, -124700, 0, 0, 0, 0, 0, 0, -71216, 0, 0, -29196, 0, 112782, 0, 0, 321120, 0, 0, 0, 0, 0, 0, -131112, 0, 0, 7680, 0, -70704, 0, 0, 171896, 0, 0, 0, 0, 0, 0, -21696, 0, 0, -45804, 0, 280902, 0, 0, 61048, 0, 0, 0, 0, 0, 0, 386634, 0, 0, 78008, 0, 17216, 0, 0, -365274, 0, 0, 0, 0, 0, 0, 143136, 0, 0, -239640, 0, -7348, 0, 0, -357408, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 332086
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '150.4.a.a', 'target_level': 150, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 332087
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '150.4.a.h', 'target_level': 150, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 332088
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '150.4.c.e', 'target_level': 150, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 332089
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '150.4.c.e', 'target_level': 150, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 332090
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '450.4.a.f', 'target_level': 450, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 332091
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '450.4.a.o', 'target_level': 450, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 332092
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '450.4.c.a', 'target_level': 450, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 332093
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '450.4.c.a', 'target_level': 450, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 332094
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1200.4.a.i', 'target_level': 1200, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 332095
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '1200.4.a.bb', 'target_level': 1200, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 332096
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1200.4.f.c', 'target_level': 1200, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 332097
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.c.a', 'source_level': 450, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1200.4.f.c', 'target_level': 1200, 'twist_class_label': '150.4.a.a', 'twist_class_level': 150, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 910750
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 2}
-
id: 910751
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 3}
-
id: 910752
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 5}
-
id: 910753
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 7}
-
id: 910754
{'charpoly_factorization': [[[42, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 11}
-
id: 910755
{'charpoly_factorization': [[[4489, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 13}
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id: 910756
{'charpoly_factorization': [[[2916, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 17}
-
id: 910757
{'charpoly_factorization': [[[-115, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 19}
-
id: 910758
{'charpoly_factorization': [[[26244, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 23}
-
id: 910759
{'charpoly_factorization': [[[210, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 29}
-
id: 910760
{'charpoly_factorization': [[[193, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 31}
-
id: 910761
{'charpoly_factorization': [[[81796, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 37}
-
id: 910762
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 41}
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id: 910763
{'charpoly_factorization': [[[69169, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 43}
-
id: 910764
{'charpoly_factorization': [[[171396, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 47}
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id: 910765
{'charpoly_factorization': [[[36864, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 53}
-
id: 910766
{'charpoly_factorization': [[[-690, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 59}
-
id: 910767
{'charpoly_factorization': [[[733, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 61}
-
id: 910768
{'charpoly_factorization': [[[89401, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 67}
-
id: 910769
{'charpoly_factorization': [[[-228, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 71}
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id: 910770
{'charpoly_factorization': [[[879844, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 73}
-
id: 910771
{'charpoly_factorization': [[[-160, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 79}
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id: 910772
{'charpoly_factorization': [[[213444, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 83}
-
id: 910773
{'charpoly_factorization': [[[240, 1], 2]], 'hecke_orbit_code': 137506062786, 'p': 89}
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id: 910774
{'charpoly_factorization': [[[261121, 0, 1], 1]], 'hecke_orbit_code': 137506062786, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '450.4.c.a', 'level': 450, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 5946673
{'hecke_orbit_code': 137506062786, 'n': 1, 'trace_an': 2}
-
id: 5946674
{'hecke_orbit_code': 137506062786, 'n': 2, 'trace_an': 0}
-
id: 5946675
{'hecke_orbit_code': 137506062786, 'n': 3, 'trace_an': 0}
-
id: 5946676
{'hecke_orbit_code': 137506062786, 'n': 4, 'trace_an': -8}
-
id: 5946677
{'hecke_orbit_code': 137506062786, 'n': 5, 'trace_an': 0}
-
id: 5946678
{'hecke_orbit_code': 137506062786, 'n': 6, 'trace_an': 0}
-
id: 5946679
{'hecke_orbit_code': 137506062786, 'n': 7, 'trace_an': 0}
-
id: 5946680
{'hecke_orbit_code': 137506062786, 'n': 8, 'trace_an': 0}
-
id: 5946681
{'hecke_orbit_code': 137506062786, 'n': 9, 'trace_an': 0}
-
id: 5946682
{'hecke_orbit_code': 137506062786, 'n': 10, 'trace_an': 0}
-
id: 5946683
{'hecke_orbit_code': 137506062786, 'n': 11, 'trace_an': -84}
-
id: 5946684
{'hecke_orbit_code': 137506062786, 'n': 12, 'trace_an': 0}
-
id: 5946685
{'hecke_orbit_code': 137506062786, 'n': 13, 'trace_an': 0}
-
id: 5946686
{'hecke_orbit_code': 137506062786, 'n': 14, 'trace_an': 4}
-
id: 5946687
{'hecke_orbit_code': 137506062786, 'n': 15, 'trace_an': 0}
-
id: 5946688
{'hecke_orbit_code': 137506062786, 'n': 16, 'trace_an': 32}
-
id: 5946689
{'hecke_orbit_code': 137506062786, 'n': 17, 'trace_an': 0}
-
id: 5946690
{'hecke_orbit_code': 137506062786, 'n': 18, 'trace_an': 0}
-
id: 5946691
{'hecke_orbit_code': 137506062786, 'n': 19, 'trace_an': 230}
-
id: 5946692
{'hecke_orbit_code': 137506062786, 'n': 20, 'trace_an': 0}
-
id: 5946693
{'hecke_orbit_code': 137506062786, 'n': 21, 'trace_an': 0}
-
id: 5946694
{'hecke_orbit_code': 137506062786, 'n': 22, 'trace_an': 0}
-
id: 5946695
{'hecke_orbit_code': 137506062786, 'n': 23, 'trace_an': 0}
-
id: 5946696
{'hecke_orbit_code': 137506062786, 'n': 24, 'trace_an': 0}
-
id: 5946697
{'hecke_orbit_code': 137506062786, 'n': 25, 'trace_an': 0}
-
id: 5946698
{'hecke_orbit_code': 137506062786, 'n': 26, 'trace_an': -268}
-
id: 5946699
{'hecke_orbit_code': 137506062786, 'n': 27, 'trace_an': 0}
-
id: 5946700
{'hecke_orbit_code': 137506062786, 'n': 28, 'trace_an': 0}
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id: 5946701
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id: 5946913
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id: 5946915
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id: 5946916
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id: 5946917
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id: 5946919
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id: 5946920
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id: 5946921
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id: 5946922
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id: 5946923
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id: 5946924
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id: 5946925
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id: 5946926
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id: 5946927
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id: 5946928
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id: 5946929
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id: 5946930
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