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{'Nk2': 40000, 'analytic_conductor': 79.85040202128039, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [10000, 1, [8751, 2501, 9377], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 12, 'field_disc': 3930964290369140625, 'field_disc_factorization': [[3, 6], [5, 9], [18059, 1], [152879, 1]], 'field_poly': [45, 0, -285, 15, 556, 4, -440, -29, 144, 11, -20, -1, 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': [[3, [-5, 110, 1165, 2760, 726, -2624, -708, 773, 195, -93, -23, 4, 1]], [7, [16, -848, 12224, -30798, 13407, 9353, -5896, -919, 824, 29, -48, 0, 1]], [11, [-8609, 29479, 4252, -78417, 44673, 17573, -14022, -1322, 1533, 48, -68, -1, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128384272, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 5, 'hecke_ring_index_factorization': [[5, 1]], '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': '10000.2.a.bo', 'level': 10000, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '5000.2.a.o', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{6}q^{3}+(1+\\beta _{1}-\\beta _{2}+\\beta _{5})q^{7}+(2+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10000.2.a', 'trace_display': [0, -4, 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'label': '10000.2.a.bo.1.7', 'level': 10000, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1]], 58, 11], [[[2, -1], [5, -1]], 54, 11], [[[2, 1], [5, -1]], 62, 7], [[[2, -1], [5, 1]], 58, 15]], 'ALdims': [58, 62, 58, 54], 'Nk2': 40000, 'analytic_conductor': 79.85040202128039, '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': [10000, 1, [8751, 2501, 9377], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1411, 'dim': 232, 'eis_dim': 179, 'eis_new_dim': 16, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33564432, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 16, 16], 'label': '10000.2.a', 'level': 10000, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 1590, 'mf_new_dim': 248, 'num_forms': 44, 'plus_dim': 112, 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mf_twists_cc • Show schema
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id: 48946085
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 7, 'source_hecke_orbit_code': 180143985128384272, 'source_is_minimal': False, 'source_label': '10000.2.a.bo.1.7', 'source_level': 10000, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 180143985128384272, 'target_is_minimal': False, 'target_label': '10000.2.a.bo.1.7', 'target_level': 10000, 'twist_class_label': '5000.2.a.o.1.7', 'twist_class_level': 5000, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48946086
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 7, 'source_hecke_orbit_code': 180143985128384272, 'source_is_minimal': False, 'source_label': '10000.2.a.bo.1.7', 'source_level': 10000, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 67553994444116872, 'target_is_minimal': True, 'target_label': '5000.2.a.p.1.6', 'target_level': 5000, 'twist_class_label': '5000.2.a.o.1.7', 'twist_class_level': 5000, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48946087
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 7, 'source_hecke_orbit_code': 180143985128384272, 'source_is_minimal': False, 'source_label': '10000.2.a.bo.1.7', 'source_level': 10000, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 184647584755754768, 'target_is_minimal': False, 'target_label': '10000.2.a.bp.1.6', 'target_level': 10000, 'twist_class_label': '5000.2.a.o.1.7', 'twist_class_level': 5000, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48946088
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 7, 'source_hecke_orbit_code': 180143985128384272, 'source_is_minimal': False, 'source_label': '10000.2.a.bo.1.7', 'source_level': 10000, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 63050394816746376, 'target_is_minimal': True, 'target_label': '5000.2.a.o.1.7', 'target_level': 5000, 'twist_class_label': '5000.2.a.o.1.7', 'twist_class_level': 5000, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5182250
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 180143985128384272, 'p': 2}
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id: 5182251
{'charpoly_factorization': [[[-5, 110, 1165, 2760, 726, -2624, -708, 773, 195, -93, -23, 4, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 3}
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id: 5182252
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 180143985128384272, 'p': 5}
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id: 5182253
{'charpoly_factorization': [[[16, -848, 12224, -30798, 13407, 9353, -5896, -919, 824, 29, -48, 0, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 7}
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id: 5182254
{'charpoly_factorization': [[[-8609, 29479, 4252, -78417, 44673, 17573, -14022, -1322, 1533, 48, -68, -1, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 11}
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id: 5182255
{'charpoly_factorization': [[[302256, 82080, -841512, 290298, 289099, -82807, -40799, 8021, 2787, -314, -89, 4, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 13}
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id: 5182256
{'charpoly_factorization': [[[-4824725, 10354650, -6265125, -449450, 1437380, -185435, -119515, 19885, 4896, -693, -106, 8, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 17}
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id: 5182257
{'charpoly_factorization': [[[4621, 71859, 92942, -264882, -386907, -108342, 41008, 21228, 483, -822, -73, 9, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 19}
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id: 5182258
{'charpoly_factorization': [[[-8514864, -16610112, -8381856, 1823418, 2037247, -20858, -182526, -2096, 7559, 41, -143, 0, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 23}
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id: 5182259
{'charpoly_factorization': [[[-527024, 1351448, -31692, -1073346, 133953, 283726, -32533, -27676, 3378, 921, -117, -8, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 29}
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id: 5182260
{'charpoly_factorization': [[[9284400, 10852200, -24852000, -7921800, 8238205, 4209480, 355495, -133860, -29139, -663, 319, 33, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 31}
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id: 5182261
{'charpoly_factorization': [[[650813616, -411173064, -172895688, 95807532, 21702133, -6360093, -1160527, 164652, 27483, -1743, -283, 6, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 37}
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id: 5182262
{'charpoly_factorization': [[[-995145329, -3576068650, 1500824712, 142496896, -117403811, 4443459, 3267124, -307743, -33738, 5168, 19, -27, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 41}
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id: 5182263
{'charpoly_factorization': [[[347146281, 501693246, 230721036, -11905701, -52753268, -22807451, -4691374, -414443, 20854, 9302, 998, 50, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 43}
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id: 5182264
{'charpoly_factorization': [[[-26255664, -210043368, -208594764, -32232870, 22377105, 5975982, -620061, -224463, 10330, 3405, -154, -18, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 47}
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id: 5182265
{'charpoly_factorization': [[[189235456, -460323328, 152439616, 143845020, -41053455, -18700373, 1088844, 558092, 420, -6105, -179, 22, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 53}
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id: 5182266
{'charpoly_factorization': [[[-4622139, 56663640, -121659243, -60165294, 18606214, 12925979, 1446309, -278278, -75418, -4682, 199, 33, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 59}
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id: 5182267
{'charpoly_factorization': [[[-8891600, -19511000, 6974500, 26290350, 4854945, -2852935, -510585, 110815, 16821, -1638, -221, 8, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 61}
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id: 5182268
{'charpoly_factorization': [[[-23687194259, 59530024310, 14919912208, -3867443168, -1065332981, 38446547, 23817926, 914459, -165818, -12956, 181, 41, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 67}
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id: 5182269
{'charpoly_factorization': [[[-6051744080, 401656880, 2178830620, 333951380, -112648489, -24617599, 1570297, 578143, 3740, -5558, -203, 19, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 71}
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id: 5182270
{'charpoly_factorization': [[[927999711, -1453383063, -71564376, 497387232, 121577152, -10065632, -4587361, -279, 65504, 1029, -418, -5, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 73}
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id: 5182271
{'charpoly_factorization': [[[39511336720, -4838489320, -11308475300, -705550890, 836702931, 166906543, 383103, -2653639, -243225, -234, 1063, 58, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 79}
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id: 5182272
{'charpoly_factorization': [[[-4396075199, -2236222555, 417859117, 316882311, -7896926, -17056481, -362336, 426337, 17152, -4782, -241, 18, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 83}
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id: 5182273
{'charpoly_factorization': [[[-82788670169, 97311920136, -40051335213, 6141704447, 285429038, -207596758, 19985138, 769292, -249117, 12192, 332, -44, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 89}
-
id: 5182274
{'charpoly_factorization': [[[171567421, 710511622, 740483931, 17084365, -108316335, -17936878, 2399769, 590432, -6510, -6335, -174, 22, 1], 1]], 'hecke_orbit_code': 180143985128384272, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '10000.2.a.bo', 'level': 10000, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273886000
{'hecke_orbit_code': 180143985128384272, 'n': 1, 'trace_an': 12}
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id: 273886001
{'hecke_orbit_code': 180143985128384272, 'n': 2, 'trace_an': 0}
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id: 273886002
{'hecke_orbit_code': 180143985128384272, 'n': 3, 'trace_an': -4}
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id: 273886003
{'hecke_orbit_code': 180143985128384272, 'n': 4, 'trace_an': 0}
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id: 273886004
{'hecke_orbit_code': 180143985128384272, 'n': 5, 'trace_an': 0}
-
id: 273886005
{'hecke_orbit_code': 180143985128384272, 'n': 6, 'trace_an': 0}
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id: 273886006
{'hecke_orbit_code': 180143985128384272, 'n': 7, 'trace_an': 0}
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id: 273886007
{'hecke_orbit_code': 180143985128384272, 'n': 8, 'trace_an': 0}
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id: 273886008
{'hecke_orbit_code': 180143985128384272, 'n': 9, 'trace_an': 26}
-
id: 273886009
{'hecke_orbit_code': 180143985128384272, 'n': 10, 'trace_an': 0}
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id: 273886010
{'hecke_orbit_code': 180143985128384272, 'n': 11, 'trace_an': 1}
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id: 273886011
{'hecke_orbit_code': 180143985128384272, 'n': 12, 'trace_an': 0}
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id: 273886012
{'hecke_orbit_code': 180143985128384272, 'n': 13, 'trace_an': -4}
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id: 273886013
{'hecke_orbit_code': 180143985128384272, 'n': 14, 'trace_an': 0}
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id: 273886014
{'hecke_orbit_code': 180143985128384272, 'n': 15, 'trace_an': 0}
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id: 273886015
{'hecke_orbit_code': 180143985128384272, 'n': 16, 'trace_an': 0}
-
id: 273886016
{'hecke_orbit_code': 180143985128384272, 'n': 17, 'trace_an': -8}
-
id: 273886017
{'hecke_orbit_code': 180143985128384272, 'n': 18, 'trace_an': 0}
-
id: 273886018
{'hecke_orbit_code': 180143985128384272, 'n': 19, 'trace_an': -9}
-
id: 273886019
{'hecke_orbit_code': 180143985128384272, 'n': 20, 'trace_an': 0}
-
id: 273886020
{'hecke_orbit_code': 180143985128384272, 'n': 21, 'trace_an': 12}
-
id: 273886021
{'hecke_orbit_code': 180143985128384272, 'n': 22, 'trace_an': 0}
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id: 273886022
{'hecke_orbit_code': 180143985128384272, 'n': 23, 'trace_an': 0}
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id: 273886023
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