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mf_newforms • Show schema
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{'Nk2': 12600, 'analytic_conductor': 56.13433693454322, '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': [350, 2, [127, 101], [1, 2]], 'cm_discs': [], 'conrey_index': 99, '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': [[3, [64, 0, 1]], [11, [340, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518135676469598, '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': '350.6.c.f', 'level': 350, '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, 5, 7], 'level_radical': 70, 'minimal_twist': '14.6.a.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-4 i q^{2}+8 i q^{3}-16 q^{4}+32 q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '350.6.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 809980419332338673, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.901', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.063', '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], [0, -4], [0, 8], [-16, 0], [0, 0], [32, 0], [0, 49], [0, 64], [179, 0], [0, 0], [-340, 0], [0, -128], [0, -294], [196, 0], [0, 0], [256, 0], [0, -1226], [0, -716], [-2432, 0], [0, 0], [-392, 0], [0, 1360], [0, 2000], [-512, 0], [0, 0], [-1176, 0], [0, 3376], [0, -784], [6746, 0], [0, 0], [8856, 0], [0, -1024], [0, -2720], [-4904, 0], [0, 0], [-2864, 0], [0, -9182], [0, 9728], [2352, 0], [0, 0], [-14574, 0], [0, 1568], [0, 8108], [5440, 0], [0, 0], [8000, 0], [0, 312], [0, 2048], [-2401, 0], [0, 0], [9808, 0], [0, 4704], [0, -14634], [13504, 0], [0, 0], [-3136, 0], [0, -19456], [0, -26984], [27656, 0], [0, 0], [34338, 0], [0, -35424], [0, 8771], [-4096, 0], [0, 0], [-10880, 0], [0, -12316], [0, 19616], [-16000, 0], [0, 0], [36920, 0], [0, 11456], [0, -61718], [-36728, 0], [0, 0], [38912, 0], [0, -16660], [0, -9408], [64752, 0], [0, 0], [16489, 0], [0, 58296], [0, -77056], [6272, 0], [0, 0], [32432, 0], [0, 53968], [0, -21760], [8166, 0], [0, 0], [14406, 0], [0, -32000], [0, 70848], [1248, 0], [0, 0], [8192, 0], [0, -20650], [0, 9604], [-60860, 0], [0, 0]], 'ap': [[0, -4], [0, 8], [0, 0], [0, 49], [-340, 0], [0, -294], [0, -1226], [-2432, 0], [0, 2000], [6746, 0], [8856, 0], [0, -9182], [-14574, 0], [0, 8108], [0, 312], [0, -14634], [27656, 0], [34338, 0], [0, -12316], [36920, 0], [0, -61718], [64752, 0], [0, -77056], [8166, 0], [0, -20650], [186250, 0], [0, -60064], [0, -47892], [-22102, 0], [0, -245054], [0, 96696], [134368, 0], [0, 294662], [-314944, 0], [-113622, 0], [408208, 0], [0, -293546], [0, -317116], [0, -141568], [0, -71222], [-485628, 0], [657090, 0], [68304, 0], [0, 352754], [0, -196982], [1103920, 0], [-103444, 0], [0, 307328], [0, 891792], [-276706, 0], [0, 1479434], [-1000344, 0], [1358330, 0], [-177408, 0], [0, -326658], [0, -34920], [-716458, 0], [-953376, 0], [0, 1847290], [-1996006, 0], [0, 234088], [0, -2500806], [0, -2342032], [-163064, 0], [0, 1739650], [0, 1797714], [-2475412, 0], [0, -89154], [0, -938556], [-3342682, 0], [0, -3766062], [1539344, 0], [0, 859312], [0, -976586], [-106444, 0], [0, -2006344], [684002, 0], [0, 222870], [1900722, 0], [-1777154, 0], [-28056, 0], [-2708970, 0], [5538984, 0], [0, -868294], [1137672, 0], [0, 1753988], [-2416738, 0], [0, 127430], [-128198, 0], [0, -4016528], [0, -8672464], [-8289464, 0], [0, 8917696], [-5715372, 0], [-125116, 0], [0, -2771160], [138534, 0], [-1802814, 0], [0, 9772472], [2455038, 0], [0, -13208148], [0, -7832926], [0, 3579080], [3395814, 0], [-1476948, 0], [0, 14996078], [0, 3292912], [0, -11790846], [1526424, 0], [-10014214, 0], [0, -12065952], [0, 5819502], [0, 4165894], [8080904, 0], [-8408776, 0], [6297602, 0], [0, 4397624], [0, -6553968], [0, 3796518], [8826844, 0], [-341270, 0], [0, 4418066], [0, -16385778], [0, -17539932], [3146384, 0], [-19091882, 0], [-990974, 0], [16901448, 0], [0, 23430176], [0, 975810], [6302076, 0], [0, -6956976], [27453480, 0], [0, 19688898], [-28207918, 0], [1380806, 0], [0, -15434726], [0, 7101072], [0, -6481818], [-16057786, 0], [4847752, 0], [21797606, 0], [0, 32020600], [0, -21900804], [14599934, 0], [-4609472, 0], [0, -19843726], [0, 1229598], [-33304064, 0], [0, -23661584], [0, 23781242], [-14187054, 0], [0, 20928140], [0, 7985856], [0, 23186076], [16529928, 0], [-12808696, 0], [-29731866, 0], [0, -11097002], [37431346, 0], [0, -15090724], [0, -21574054], [0, 32946688], [22459944, 0], [0, 51623646], [0, -11020176], [32102864, 0], [0, -28177178]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 22518135676469598, 'hecke_ring_character_values': [[127, [-1, 0]], [101, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '350.6.c.f', 'level': 350, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'Nk2': 12600, 'analytic_conductor': 56.13433693454322, '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': [350, 2, [127, 101], [1, 2]], 'conrey_index': 99, 'cusp_dim': 288, 'dim': 44, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 137539617118, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6], 'label': '350.6.c', 'level': 350, '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, 5, 7], 'level_radical': 70, 'mf_dim': 312, 'mf_new_dim': 44, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 44, 'sturm_bound': 360, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [44, 0, 0, -704, 0, 0, 0, 0, -3432, 0, -1244, 0, 0, 784, 0, 11264, 0, 0, -7024, 0, -3724, 0, 0, 0, 0, -9552, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 267350
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '14.6.a.b', 'target_level': 14, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 267351
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '98.6.a.b', 'target_level': 98, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 6}
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id: 267352
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '98.6.c.a', 'target_level': 98, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 6}
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id: 267353
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '98.6.c.b', 'target_level': 98, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 6}
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id: 267354
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '112.6.a.d', 'target_level': 112, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 6}
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id: 267355
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '126.6.a.c', 'target_level': 126, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 6}
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id: 267356
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '350.6.a.b', 'target_level': 350, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 267357
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '350.6.c.f', 'target_level': 350, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 267358
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '350.6.c.f', 'target_level': 350, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 267359
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '448.6.a.f', 'target_level': 448, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 6}
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id: 267360
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '448.6.a.k', 'target_level': 448, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 6}
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id: 267361
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.6.a.h', 'target_level': 784, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 6}
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id: 267362
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '882.6.a.g', 'target_level': 882, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 6}
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id: 267363
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '350.6.c.f', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1008.6.a.n', 'target_level': 1008, 'twist_class_label': '14.6.a.b', 'twist_class_level': 14, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 755650
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 2}
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id: 755651
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 3}
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id: 755652
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 5}
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id: 755653
{'charpoly_factorization': [[[2401, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 7}
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id: 755654
{'charpoly_factorization': [[[340, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 11}
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id: 755655
{'charpoly_factorization': [[[86436, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 13}
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id: 755656
{'charpoly_factorization': [[[1503076, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 17}
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id: 755657
{'charpoly_factorization': [[[2432, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 19}
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id: 755658
{'charpoly_factorization': [[[4000000, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 23}
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id: 755659
{'charpoly_factorization': [[[-6746, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 29}
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id: 755660
{'charpoly_factorization': [[[-8856, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 31}
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id: 755661
{'charpoly_factorization': [[[84309124, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 37}
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id: 755662
{'charpoly_factorization': [[[14574, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 41}
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id: 755663
{'charpoly_factorization': [[[65739664, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 43}
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id: 755664
{'charpoly_factorization': [[[97344, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 47}
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id: 755665
{'charpoly_factorization': [[[214153956, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 53}
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id: 755666
{'charpoly_factorization': [[[-27656, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 59}
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id: 755667
{'charpoly_factorization': [[[-34338, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 61}
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id: 755668
{'charpoly_factorization': [[[151683856, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 67}
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id: 755669
{'charpoly_factorization': [[[-36920, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 71}
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id: 755670
{'charpoly_factorization': [[[3809111524, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 73}
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id: 755671
{'charpoly_factorization': [[[-64752, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 79}
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id: 755672
{'charpoly_factorization': [[[5937627136, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 83}
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id: 755673
{'charpoly_factorization': [[[-8166, 1], 2]], 'hecke_orbit_code': 22518135676469598, 'p': 89}
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id: 755674
{'charpoly_factorization': [[[426422500, 0, 1], 1]], 'hecke_orbit_code': 22518135676469598, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 6, 'label': '350.6.c.f', 'level': 350, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 44187121
{'hecke_orbit_code': 22518135676469598, 'n': 1, 'trace_an': 2}
-
id: 44187122
{'hecke_orbit_code': 22518135676469598, 'n': 2, 'trace_an': 0}
-
id: 44187123
{'hecke_orbit_code': 22518135676469598, 'n': 3, 'trace_an': 0}
-
id: 44187124
{'hecke_orbit_code': 22518135676469598, 'n': 4, 'trace_an': -32}
-
id: 44187125
{'hecke_orbit_code': 22518135676469598, 'n': 5, 'trace_an': 0}
-
id: 44187126
{'hecke_orbit_code': 22518135676469598, 'n': 6, 'trace_an': 64}
-
id: 44187127
{'hecke_orbit_code': 22518135676469598, 'n': 7, 'trace_an': 0}
-
id: 44187128
{'hecke_orbit_code': 22518135676469598, 'n': 8, 'trace_an': 0}
-
id: 44187129
{'hecke_orbit_code': 22518135676469598, 'n': 9, 'trace_an': 358}
-
id: 44187130
{'hecke_orbit_code': 22518135676469598, 'n': 10, 'trace_an': 0}
-
id: 44187131
{'hecke_orbit_code': 22518135676469598, 'n': 11, 'trace_an': -680}
-
id: 44187132
{'hecke_orbit_code': 22518135676469598, 'n': 12, 'trace_an': 0}
-
id: 44187133
{'hecke_orbit_code': 22518135676469598, 'n': 13, 'trace_an': 0}
-
id: 44187134
{'hecke_orbit_code': 22518135676469598, 'n': 14, 'trace_an': 392}
-
id: 44187135
{'hecke_orbit_code': 22518135676469598, 'n': 15, 'trace_an': 0}
-
id: 44187136
{'hecke_orbit_code': 22518135676469598, 'n': 16, 'trace_an': 512}
-
id: 44187137
{'hecke_orbit_code': 22518135676469598, 'n': 17, 'trace_an': 0}
-
id: 44187138
{'hecke_orbit_code': 22518135676469598, 'n': 18, 'trace_an': 0}
-
id: 44187139
{'hecke_orbit_code': 22518135676469598, 'n': 19, 'trace_an': -4864}
-
id: 44187140
{'hecke_orbit_code': 22518135676469598, 'n': 20, 'trace_an': 0}
-
id: 44187141
{'hecke_orbit_code': 22518135676469598, 'n': 21, 'trace_an': -784}
-
id: 44187142
{'hecke_orbit_code': 22518135676469598, 'n': 22, 'trace_an': 0}
-
id: 44187143
{'hecke_orbit_code': 22518135676469598, 'n': 23, 'trace_an': 0}
-
id: 44187144
{'hecke_orbit_code': 22518135676469598, 'n': 24, 'trace_an': -1024}
-
id: 44187145
{'hecke_orbit_code': 22518135676469598, 'n': 25, 'trace_an': 0}
-
id: 44187146
{'hecke_orbit_code': 22518135676469598, 'n': 26, 'trace_an': -2352}
-
id: 44187147
{'hecke_orbit_code': 22518135676469598, 'n': 27, 'trace_an': 0}
-
id: 44187148
{'hecke_orbit_code': 22518135676469598, 'n': 28, 'trace_an': 0}
-
id: 44187149
{'hecke_orbit_code': 22518135676469598, 'n': 29, 'trace_an': 13492}
-
id: 44187150
{'hecke_orbit_code': 22518135676469598, 'n': 30, 'trace_an': 0}
-
id: 44187151
{'hecke_orbit_code': 22518135676469598, 'n': 31, 'trace_an': 17712}
-
id: 44187152
{'hecke_orbit_code': 22518135676469598, 'n': 32, 'trace_an': 0}
-
id: 44187153
{'hecke_orbit_code': 22518135676469598, 'n': 33, 'trace_an': 0}
-
id: 44187154
{'hecke_orbit_code': 22518135676469598, 'n': 34, 'trace_an': -9808}
-
id: 44187155
{'hecke_orbit_code': 22518135676469598, 'n': 35, 'trace_an': 0}
-
id: 44187156
{'hecke_orbit_code': 22518135676469598, 'n': 36, 'trace_an': -5728}
-
id: 44187157
{'hecke_orbit_code': 22518135676469598, 'n': 37, 'trace_an': 0}
-
id: 44187158
{'hecke_orbit_code': 22518135676469598, 'n': 38, 'trace_an': 0}
-
id: 44187159
{'hecke_orbit_code': 22518135676469598, 'n': 39, 'trace_an': 4704}
-
id: 44187160
{'hecke_orbit_code': 22518135676469598, 'n': 40, 'trace_an': 0}
-
id: 44187161
{'hecke_orbit_code': 22518135676469598, 'n': 41, 'trace_an': -29148}
-
id: 44187162
{'hecke_orbit_code': 22518135676469598, 'n': 42, 'trace_an': 0}
-
id: 44187163
{'hecke_orbit_code': 22518135676469598, 'n': 43, 'trace_an': 0}
-
id: 44187164
{'hecke_orbit_code': 22518135676469598, 'n': 44, 'trace_an': 10880}
-
id: 44187165
{'hecke_orbit_code': 22518135676469598, 'n': 45, 'trace_an': 0}
-
id: 44187166
{'hecke_orbit_code': 22518135676469598, 'n': 46, 'trace_an': 16000}
-
id: 44187167
{'hecke_orbit_code': 22518135676469598, 'n': 47, 'trace_an': 0}
-
id: 44187168
{'hecke_orbit_code': 22518135676469598, 'n': 48, 'trace_an': 0}
-
id: 44187169
{'hecke_orbit_code': 22518135676469598, 'n': 49, 'trace_an': -4802}
-
id: 44187170
{'hecke_orbit_code': 22518135676469598, 'n': 50, 'trace_an': 0}
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