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{'Nk2': 32004, 'analytic_conductor': 63.88830665722644, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [127, 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': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 13, 'field_disc': 6689229791980098031792, 'field_disc_factorization': [[2, 4], [47, 1], [173, 1], [1163, 1], [44211215676779, 1]], 'field_poly': [-8, -12, 116, 146, -372, -211, 467, 61, -242, 19, 53, -10, -4, 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, [8, -12, -116, 146, 372, -211, -467, 61, 242, 19, -53, -10, 4, 1]], [5, [16, -184, 412, 784, -1990, -1590, 1877, 1492, -340, -457, -50, 39, 12, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816749377, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8001.2.a.o', 'level': 8001, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 127], 'level_radical': 2667, 'minimal_twist': '2667.2.a.l', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-1+\\beta _{10}+\\cdots)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': '8001.2.a', 'trace_display': [-4, 0, -12, 13], 'trace_hash': 2176409776496891046, 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-0.1755489366524041, -0.3417213660643574], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 7, 'dual_embedding_m': 7, 'embedding_index': 7, 'embedding_m': 7, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.3073260948196576, 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816749377, 'label': '8001.2.a.o.1.7', 'level': 8001, 'weight': 2}
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{'AL_dims': [[[[3, -1], [7, -1], [127, -1]], 52, 5], [[[3, 1], [7, -1], [127, 1]], 40, 1], [[[3, 1], [7, 1], [127, 1]], 32, 1], [[[3, 1], [7, -1], [127, -1]], 22, 1], [[[3, -1], [7, 1], [127, -1]], 48, 7], [[[3, 1], [7, 1], [127, -1]], 30, 3], [[[3, -1], [7, -1], [127, 1]], 43, 5], [[[3, -1], [7, 1], [127, 1]], 47, 4]], 'ALdims': [32, 30, 40, 22, 47, 48, 43, 52], 'Nk2': 32004, 'analytic_conductor': 63.88830665722644, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1017, 'dim': 314, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33562433, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 11, 12, 13, 14, 15, 16, 16, 16, 18, 19, 20, 22, 28, 32, 40], 'label': '8001.2.a', 'level': 8001, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_twists_cc • Show schema
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id: 47813187
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63050394816749377, 'source_is_minimal': False, 'source_label': '8001.2.a.o.1.7', 'source_level': 8001, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 7, 'target_hecke_orbit_code': 63050394816749377, 'target_is_minimal': False, 'target_label': '8001.2.a.o.1.7', 'target_level': 8001, 'twist_class_label': '2667.2.a.l.1.7', 'twist_class_level': 2667, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47813188
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63050394816749377, 'source_is_minimal': False, 'source_label': '8001.2.a.o.1.7', 'source_level': 8001, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 7, 'target_hecke_orbit_code': 49539595934632555, 'target_is_minimal': True, 'target_label': '2667.2.a.l.1.7', 'target_level': 2667, 'twist_class_label': '2667.2.a.l.1.7', 'twist_class_level': 2667, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4632575
{'charpoly_factorization': [[[8, -12, -116, 146, 372, -211, -467, 61, 242, 19, -53, -10, 4, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 2}
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id: 4632576
{'charpoly_factorization': [[[0, 1], 13]], 'hecke_orbit_code': 63050394816749377, 'p': 3}
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id: 4632577
{'charpoly_factorization': [[[16, -184, 412, 784, -1990, -1590, 1877, 1492, -340, -457, -50, 39, 12, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 5}
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id: 4632578
{'charpoly_factorization': [[[-1, 1], 13]], 'hecke_orbit_code': 63050394816749377, 'p': 7}
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id: 4632579
{'charpoly_factorization': [[[-284672, 416256, 67968, -316480, 42736, 95504, -19182, -14937, 2786, 1309, -165, -60, 3, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 11}
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id: 4632580
{'charpoly_factorization': [[[-22336, 9856, 209968, -325744, 24820, 220232, -137647, 12055, 13359, -4095, 70, 134, -21, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 13}
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id: 4632581
{'charpoly_factorization': [[[-27656, -250028, -673830, -736685, -207396, 235029, 205190, 40886, -13339, -7140, -930, 37, 17, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 17}
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id: 4632582
{'charpoly_factorization': [[[-16768, 79664, 9416, -140220, -15696, 84330, 15862, -19207, -3852, 1810, 276, -74, -5, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 19}
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id: 4632583
{'charpoly_factorization': [[[-975616, 3957760, -3346576, -1838416, 1965244, 558624, -307907, -74663, 19181, 4454, -491, -115, 4, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 23}
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id: 4632584
{'charpoly_factorization': [[[-92930644, 43800648, 87025943, -6872293, -27149845, -5957137, 1323463, 587571, 23498, -14998, -1984, 44, 21, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 29}
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id: 4632585
{'charpoly_factorization': [[[15003392, 27575680, -8831520, -23377632, 5782108, 4685826, -1062279, -338267, 59182, 11829, -1167, -186, 7, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 31}
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id: 4632586
{'charpoly_factorization': [[[1844308, -2520564, -2797989, 6202263, -2760296, -457511, 543356, -44017, -33647, 4936, 803, -132, -7, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 37}
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id: 4632587
{'charpoly_factorization': [[[-184216, 506788, 872770, -324213, -818469, -131168, 203826, 75412, -9630, -8063, -930, 83, 21, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 41}
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id: 4632588
{'charpoly_factorization': [[[-28880896, 79970304, -53081280, -18626704, 20945376, 1711048, -2519908, -194909, 116274, 11477, -1815, -196, 9, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 43}
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id: 4632589
{'charpoly_factorization': [[[9569152, 45208960, 74002368, 43253040, -4227512, -11766384, -1935456, 688079, 137823, -11700, -3117, -4, 23, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 47}
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id: 4632590
{'charpoly_factorization': [[[-405812, -5163096, -22048207, -31846170, 2248510, 15128899, 6199162, 649825, -126259, -34534, -1645, 247, 31, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 53}
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id: 4632591
{'charpoly_factorization': [[[-43041792704, 5684383104, 15367230460, 2104708704, -993805642, -247246098, 9346767, 7360873, 457733, -59180, -7471, -19, 28, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 59}
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id: 4632592
{'charpoly_factorization': [[[-20477872, 57784256, -35272060, -15765288, 15146442, -328114, -1797497, 321179, 52428, -18647, 789, 230, -29, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 61}
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id: 4632593
{'charpoly_factorization': [[[49278934912, 11659593856, -15678737768, -903605236, 1378938004, 34642310, -52670484, -1399265, 942709, 37150, -7164, -356, 18, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 67}
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id: 4632594
{'charpoly_factorization': [[[15605244416, -6886633664, -5211217608, 1070295788, 720069700, 1286914, -30201104, -1753207, 527775, 42920, -3947, -367, 10, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 71}
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id: 4632595
{'charpoly_factorization': [[[169328048, -709932416, 1180513532, -990795136, 432767258, -82835182, -2330721, 3354895, -343315, -26544, 5637, -79, -24, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 73}
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id: 4632596
{'charpoly_factorization': [[[-18990976, 20270576, 143966140, -113818875, -112006527, 1247310, 14248384, 2596057, -164103, -86339, -7530, -2, 28, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 79}
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id: 4632597
{'charpoly_factorization': [[[-28884464384, -15434947392, 6700193008, 4113741344, -74445240, -269371256, -21633149, 6100399, 837800, -33468, -9026, -167, 26, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 83}
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id: 4632598
{'charpoly_factorization': [[[-180656384, 703704320, -334174176, -623502000, -112738444, 49885698, 17299201, 382063, -461845, -57109, 1033, 632, 44, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 89}
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id: 4632599
{'charpoly_factorization': [[[-416205928, 3821954752, -5890557708, 3036212017, -395441756, -110532829, 29387674, 640402, -613355, 17944, 5358, -263, -17, 1], 1]], 'hecke_orbit_code': 63050394816749377, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '8001.2.a.o', 'level': 8001, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 232191000
{'hecke_orbit_code': 63050394816749377, 'n': 1, 'trace_an': 13}
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id: 232191001
{'hecke_orbit_code': 63050394816749377, 'n': 2, 'trace_an': -4}
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id: 232191002
{'hecke_orbit_code': 63050394816749377, 'n': 3, 'trace_an': 0}
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id: 232191003
{'hecke_orbit_code': 63050394816749377, 'n': 4, 'trace_an': 10}
-
id: 232191004
{'hecke_orbit_code': 63050394816749377, 'n': 5, 'trace_an': -12}
-
id: 232191005
{'hecke_orbit_code': 63050394816749377, 'n': 6, 'trace_an': 0}
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id: 232191006
{'hecke_orbit_code': 63050394816749377, 'n': 7, 'trace_an': 13}
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id: 232191007
{'hecke_orbit_code': 63050394816749377, 'n': 8, 'trace_an': -9}
-
id: 232191008
{'hecke_orbit_code': 63050394816749377, 'n': 9, 'trace_an': 0}
-
id: 232191009
{'hecke_orbit_code': 63050394816749377, 'n': 10, 'trace_an': 6}
-
id: 232191010
{'hecke_orbit_code': 63050394816749377, 'n': 11, 'trace_an': -3}
-
id: 232191011
{'hecke_orbit_code': 63050394816749377, 'n': 12, 'trace_an': 0}
-
id: 232191012
{'hecke_orbit_code': 63050394816749377, 'n': 13, 'trace_an': 21}
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id: 232191013
{'hecke_orbit_code': 63050394816749377, 'n': 14, 'trace_an': -4}
-
id: 232191014
{'hecke_orbit_code': 63050394816749377, 'n': 15, 'trace_an': 0}
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id: 232191015
{'hecke_orbit_code': 63050394816749377, 'n': 16, 'trace_an': 8}
-
id: 232191016
{'hecke_orbit_code': 63050394816749377, 'n': 17, 'trace_an': -17}
-
id: 232191017
{'hecke_orbit_code': 63050394816749377, 'n': 18, 'trace_an': 0}
-
id: 232191018
{'hecke_orbit_code': 63050394816749377, 'n': 19, 'trace_an': 5}
-
id: 232191019
{'hecke_orbit_code': 63050394816749377, 'n': 20, 'trace_an': -29}
-
id: 232191020
{'hecke_orbit_code': 63050394816749377, 'n': 21, 'trace_an': 0}
-
id: 232191021
{'hecke_orbit_code': 63050394816749377, 'n': 22, 'trace_an': 1}
-
id: 232191022
{'hecke_orbit_code': 63050394816749377, 'n': 23, 'trace_an': -4}
-
id: 232191023
{'hecke_orbit_code': 63050394816749377, 'n': 24, 'trace_an': 0}
-
id: 232191024
{'hecke_orbit_code': 63050394816749377, 'n': 25, 'trace_an': 1}
-
id: 232191025
{'hecke_orbit_code': 63050394816749377, 'n': 26, 'trace_an': -22}
-
id: 232191026
{'hecke_orbit_code': 63050394816749377, 'n': 27, 'trace_an': 0}
-
id: 232191027
{'hecke_orbit_code': 63050394816749377, 'n': 28, 'trace_an': 10}
-
id: 232191028
{'hecke_orbit_code': 63050394816749377, 'n': 29, 'trace_an': -21}
-
id: 232191029
{'hecke_orbit_code': 63050394816749377, 'n': 30, 'trace_an': 0}
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id: 232191030
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