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{'Nk2': 6076, 'analytic_conductor': 12.12927606703249, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 1], [31, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1519, 1, [1179, 344], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 13, 'field_disc': 3921945258283882801965693, 'field_disc_factorization': [[3, 5], [7, 1], [331, 1], [41897287, 1], [166258293469, 1]], 'field_poly': [21, -108, -48, 705, -475, -875, 758, 332, -387, -17, 76, -9, -5, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [21, -108, -48, 705, -475, -875, 758, 332, -387, -17, 76, -9, -5, 1]], [3, [704, 64, -6256, -6976, 3996, 6378, -941, -2281, 99, 391, -4, -32, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307260911, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1519.2.a.k', 'level': 1519, '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': [7, 31], 'level_radical': 217, 'minimal_twist': '217.2.f.b', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{6}q^{3}+(1+\\beta _{2})q^{4}+\\beta _{9}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 13, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1519.2.a', 'trace_display': [5, 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-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
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id: 47045712
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 12, 'source_hecke_orbit_code': 45035996307260911, 'source_is_minimal': False, 'source_label': '1519.2.a.k.1.12', 'source_level': 1519, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 12, 'target_hecke_orbit_code': 45035996307260911, 'target_is_minimal': False, 'target_label': '1519.2.a.k.1.12', 'target_level': 1519, 'twist_class_label': '217.2.f.b.32.2', 'twist_class_level': 217, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47045713
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 12, 'source_hecke_orbit_code': 45035996307260911, 'source_is_minimal': False, 'source_label': '1519.2.a.k.1.12', 'source_level': 1519, 'target_conrey_index': 32, 'target_dim': 26, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308825, 'target_is_minimal': True, 'target_label': '217.2.f.b.32.2', 'target_level': 217, 'twist_class_label': '217.2.f.b.32.2', 'twist_class_level': 217, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47045714
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 12, 'source_hecke_orbit_code': 45035996307260911, 'source_is_minimal': False, 'source_label': '1519.2.a.k.1.12', 'source_level': 1519, 'target_conrey_index': 156, 'target_dim': 26, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308825, 'target_is_minimal': True, 'target_label': '217.2.f.b.156.2', 'target_level': 217, 'twist_class_label': '217.2.f.b.32.2', 'twist_class_level': 217, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47045715
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 12, 'source_hecke_orbit_code': 45035996307260911, 'source_is_minimal': False, 'source_label': '1519.2.a.k.1.12', 'source_level': 1519, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 12, 'target_hecke_orbit_code': 40532396679890415, 'target_is_minimal': False, 'target_label': '1519.2.a.j.1.12', 'target_level': 1519, 'twist_class_label': '217.2.f.b.32.2', 'twist_class_level': 217, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2006075
{'charpoly_factorization': [[[21, -108, -48, 705, -475, -875, 758, 332, -387, -17, 76, -9, -5, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 2}
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id: 2006076
{'charpoly_factorization': [[[704, 64, -6256, -6976, 3996, 6378, -941, -2281, 99, 391, -4, -32, 0, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 3}
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id: 2006077
{'charpoly_factorization': [[[4647, -26967, 47871, -17640, -27238, 18747, 5858, -5474, -637, 722, 38, -44, -1, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 5}
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id: 2006078
{'charpoly_factorization': [[[0, 1], 13]], 'hecke_orbit_code': 45035996307260911, 'p': 7}
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id: 2006079
{'charpoly_factorization': [[[343872, -381888, -2524176, 1614432, 654692, -587686, 195, 68791, -9303, -2952, 699, 19, -15, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 11}
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id: 2006080
{'charpoly_factorization': [[[-75328, 889536, 848400, -1408368, -469792, 441676, 92301, -55818, -7984, 3286, 299, -92, -4, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 13}
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id: 2006081
{'charpoly_factorization': [[[-10737984, -23217216, -12822720, 3428352, 4416496, 272794, -492999, -73063, 24178, 4601, -522, -115, 4, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 17}
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id: 2006082
{'charpoly_factorization': [[[19657, -150158, 282825, 81144, -468549, 103862, 149930, -45239, -11742, 3883, 285, -110, -2, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 19}
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id: 2006083
{'charpoly_factorization': [[[-13105344, 27091680, -17344320, -127200, 4597540, -1601082, -105251, 155152, -19955, -3985, 1069, -14, -14, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 23}
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id: 2006084
{'charpoly_factorization': [[[19255104, -10850976, -22821408, 8883120, 7039160, -2860092, -667117, 371102, -4590, -15789, 2013, 53, -22, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 29}
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id: 2006085
{'charpoly_factorization': [[[-1, 1], 13]], 'hecke_orbit_code': 45035996307260911, 'p': 31}
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id: 2006086
{'charpoly_factorization': [[[965580352, -973011616, 44102704, 216303936, -49676684, -13511524, 4808681, 202932, -174610, 5685, 2591, -173, -12, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 37}
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id: 2006087
{'charpoly_factorization': [[[-3394167, -37151871, 31654266, 9364686, -12827965, 692271, 1557695, -250562, -59263, 11840, 860, -194, -4, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 41}
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id: 2006088
{'charpoly_factorization': [[[-177675968, -1314706368, -485834768, 241624368, 127387548, -3063382, -8648853, -805864, 177629, 25717, -1347, -275, 3, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 43}
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id: 2006089
{'charpoly_factorization': [[[-80540589, 418199094, -59851404, -365927889, 73502959, 40018523, -8343757, -1358640, 264124, 24294, -3315, -247, 14, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 47}
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id: 2006090
{'charpoly_factorization': [[[-50428224, 523611648, -1012496256, 504921528, -4420240, -47355948, 6744257, 1264289, -290259, -5917, 4142, -125, -19, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 53}
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id: 2006091
{'charpoly_factorization': [[[297485648229, -185326789641, 13229436132, 11710643853, -1960338322, -250993551, 65779943, 1457585, -986898, 18767, 6989, -281, -19, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 59}
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id: 2006092
{'charpoly_factorization': [[[44109824, -11237376, -66816512, 7501376, 22687744, -725160, -3024481, -103426, 163341, 13105, -2677, -239, 11, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 61}
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id: 2006093
{'charpoly_factorization': [[[-69681546193, -54748489037, 7428982451, 11734975680, 621357341, -609454390, -69236528, 9320543, 1580683, -17738, -11251, -275, 25, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 67}
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id: 2006094
{'charpoly_factorization': [[[-72039, -35325, 1386816, -317910, -5841794, 8680184, -4839432, 1038159, 4297, -30206, 2915, 123, -28, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 71}
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id: 2006095
{'charpoly_factorization': [[[-18890194112, 1430212160, 6059508048, 514352648, -588445448, -112561302, 15094653, 5566162, 248539, -58646, -6306, 43, 29, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 73}
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id: 2006096
{'charpoly_factorization': [[[-3933944512, -3068647104, 944044304, 941408320, -73672348, -87618726, 6514651, 3262295, -330629, -44176, 6394, 27, -30, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 79}
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id: 2006097
{'charpoly_factorization': [[[2613683136, 2507101440, -1059961344, -576149616, 149196500, 42304112, -8154565, -1502450, 204281, 28287, -2349, -268, 10, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 83}
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id: 2006098
{'charpoly_factorization': [[[-55783604928, 66403769760, -14480742816, -7093158264, 2139261052, 337787336, -87689183, -10263700, 1142491, 121605, -6001, -589, 11, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 89}
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id: 2006099
{'charpoly_factorization': [[[2765443775, 3080670275, -584351013, -994686146, 2166272, 96541459, 1771372, -3892936, -31449, 68642, -324, -472, 3, 1], 1]], 'hecke_orbit_code': 45035996307260911, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '1519.2.a.k', 'level': 1519, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 54168109
{'hecke_orbit_code': 45035996307260911, 'n': 1, 'trace_an': 13}
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id: 54168110
{'hecke_orbit_code': 45035996307260911, 'n': 2, 'trace_an': 5}
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id: 54168111
{'hecke_orbit_code': 45035996307260911, 'n': 3, 'trace_an': 0}
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id: 54168112
{'hecke_orbit_code': 45035996307260911, 'n': 4, 'trace_an': 17}
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id: 54168113
{'hecke_orbit_code': 45035996307260911, 'n': 5, 'trace_an': 1}
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id: 54168114
{'hecke_orbit_code': 45035996307260911, 'n': 6, 'trace_an': -2}
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