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{'Nk2': 32016, 'analytic_conductor': 63.91226177783282, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [23, 1], [29, 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': [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 13, 'field_disc': 497612744022870184913450176, 'field_disc_factorization': [[2, 6], [7, 1], [16954649, 1], [65512576060637213, 1]], 'field_poly': [-5832, -5184, 15102, 7832, -15445, -3259, 7388, 65, -1652, 180, 158, -27, -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': [[5, [-5832, -5184, 15102, 7832, -15445, -3259, 7388, 65, -1652, 180, 158, -27, -5, 1]], [7, [-16, -520, -2576, 1988, 18608, -10466, -14742, 2079, 3318, 20, -283, -23, 8, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425155908, 'hecke_ring_generator_nbound': 13, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8004.2.a.h', 'level': 8004, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23, 29], 'level_radical': 4002, 'minimal_twist': '8004.2.a.h', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta _{1}q^{5}+(-1+\\beta _{12})q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 13, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8004.2.a', 'trace_display': [0, -13, 5, -8], 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'dual_embedding_m': 6, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.6725285679579485, 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425155908, 'label': '8004.2.a.h.1.6', 'level': 8004, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, -1], [23, -1], [29, -1]], 8, 1], [[[2, -1], [3, -1], [23, -1], [29, 1]], 16, 1], [[[2, -1], [3, -1], [23, 1], [29, -1]], 18, 1], [[[2, -1], [3, 1], [23, 1], [29, 1]], 14, 2], [[[2, -1], [3, 1], [23, -1], [29, -1]], 16, 1], [[[2, -1], [3, 1], [23, 1], [29, -1]], 10, 2], [[[2, -1], [3, 1], [23, -1], [29, 1]], 12, 1], [[[2, -1], [3, -1], [23, 1], [29, 1]], 10, 2]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 14, 10, 12, 16, 10, 18, 16, 8], 'Nk2': 32016, 'analytic_conductor': 63.91226177783282, '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': [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1429, 'dim': 104, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33562436, 'hecke_orbit_dims': [1, 1, 1, 8, 9, 9, 12, 13, 16, 16, 18], 'label': '8004.2.a', 'level': 8004, 'level_is_prime': False, 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mf_twists_cc • Show schema
Hide schema
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 6, 'source_hecke_orbit_code': 31525197425155908, 'source_is_minimal': True, 'source_label': '8004.2.a.h.1.6', 'source_level': 8004, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31525197425155908, 'target_is_minimal': True, 'target_label': '8004.2.a.h.1.6', 'target_level': 8004, 'twist_class_label': '8004.2.a.h.1.6', 'twist_class_level': 8004, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 4633075
{'charpoly_factorization': [[[0, 1], 13]], 'hecke_orbit_code': 31525197425155908, 'p': 2}
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id: 4633076
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 31525197425155908, 'p': 3}
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id: 4633077
{'charpoly_factorization': [[[-5832, -5184, 15102, 7832, -15445, -3259, 7388, 65, -1652, 180, 158, -27, -5, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 5}
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id: 4633078
{'charpoly_factorization': [[[-16, -520, -2576, 1988, 18608, -10466, -14742, 2079, 3318, 20, -283, -23, 8, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 7}
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id: 4633079
{'charpoly_factorization': [[[-2952, -2658942, -4113452, -701039, 1290303, 475541, -113229, -62145, 3416, 3504, -3, -94, -1, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 11}
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id: 4633080
{'charpoly_factorization': [[[42444, 12856, -110177, -42297, 88408, 39287, -24105, -12380, 2249, 1512, -34, -67, -1, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 13}
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id: 4633081
{'charpoly_factorization': [[[165888, -1806336, 5278976, -4521024, -315240, 1162788, -61957, -114743, 6406, 5406, -199, -120, 2, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 17}
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id: 4633082
{'charpoly_factorization': [[[82944, -1838592, 223488, 5503200, 3155128, -545332, -588718, -8913, 38494, 2527, -1042, -91, 10, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 19}
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id: 4633083
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 31525197425155908, 'p': 23}
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id: 4633084
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 31525197425155908, 'p': 29}
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id: 4633085
{'charpoly_factorization': [[[383488, 31555552, 52001076, -2042024, -19559359, -3823772, 1826151, 630102, -1843, -20855, -1999, 124, 26, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 31}
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id: 4633086
{'charpoly_factorization': [[[244323648, 608139594, 346697244, -46870531, -66381491, -360839, 4941617, 42225, -181422, 3630, 3065, -158, -15, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 37}
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id: 4633087
{'charpoly_factorization': [[[-1000544, 13797384, -48613084, 33074738, 7238061, -7463465, 206684, 525117, -62476, -12282, 2428, 3, -21, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 41}
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id: 4633088
{'charpoly_factorization': [[[-602399232, -266777280, 1144736960, -508097424, -36495184, 47652908, -1578056, -1744979, 85004, 31677, -1255, -284, 6, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 43}
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id: 4633089
{'charpoly_factorization': [[[-3908373504, 609675136, 1865851840, -62366928, -218501664, 4983032, 10972016, -315035, -272781, 10717, 3330, -170, -16, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 47}
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id: 4633090
{'charpoly_factorization': [[[-322272, 1610528, 17852888, -91357072, -29868116, 18744480, 3267018, -1072022, -114751, 25725, 1550, -267, -7, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 53}
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id: 4633091
{'charpoly_factorization': [[[-35188992, 77131776, 171986560, 32677216, -79329904, -50012968, -8197668, 1133656, 449347, 21493, -4182, -330, 11, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 59}
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id: 4633092
{'charpoly_factorization': [[[-1147566898944, 1265403944828, -525511777698, 89521061070, 255816297, -2149132385, 212280147, 11143088, -2648384, 41196, 12041, -476, -19, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 61}
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id: 4633093
{'charpoly_factorization': [[[-5721469584, 6086165138, 199215958, -1853861783, 355486232, 122990440, -25585800, -4015406, 550627, 60011, -4600, -403, 13, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 67}
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id: 4633094
{'charpoly_factorization': [[[-1588002816, -5164002400, -4253999352, -739923931, 341924054, 99585274, -9438049, -3759198, 106436, 60079, -433, -417, 0, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 71}
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id: 4633095
{'charpoly_factorization': [[[3998247936, 3972839168, -95626240, -1044354752, -168292256, 74295432, 12873804, -2530878, -325155, 44830, 3005, -357, -9, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 73}
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id: 4633096
{'charpoly_factorization': [[[-514676970624, -313000083520, 2457738336, 29974692464, 3427179368, -814852996, -138357770, 7238703, 1999483, 6043, -11923, -324, 25, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 79}
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id: 4633097
{'charpoly_factorization': [[[-5858592768, 5539197440, 7749394048, -2101741024, -757688464, 183084864, 25087072, -6114158, -318609, 85361, 1656, -505, -3, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 83}
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id: 4633098
{'charpoly_factorization': [[[-9383738112, 51511571328, -79219315888, 33925511568, -1191041816, -1347507044, 159940501, 12022947, -2515772, 11057, 13580, -423, -23, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 89}
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id: 4633099
{'charpoly_factorization': [[[431792790048, -682722131680, 131071449400, 50707543328, -12084091260, -1027904160, 315401094, 3742158, -3314281, 56247, 15115, -476, -25, 1], 1]], 'hecke_orbit_code': 31525197425155908, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '8004.2.a.h', 'level': 8004, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 189373000
{'hecke_orbit_code': 31525197425155908, 'n': 1, 'trace_an': 13}
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id: 189373001
{'hecke_orbit_code': 31525197425155908, 'n': 2, 'trace_an': 0}
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id: 189373002
{'hecke_orbit_code': 31525197425155908, 'n': 3, 'trace_an': -13}
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id: 189373003
{'hecke_orbit_code': 31525197425155908, 'n': 4, 'trace_an': 0}
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id: 189373004
{'hecke_orbit_code': 31525197425155908, 'n': 5, 'trace_an': 5}
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id: 189373005
{'hecke_orbit_code': 31525197425155908, 'n': 6, 'trace_an': 0}
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id: 189373006
{'hecke_orbit_code': 31525197425155908, 'n': 7, 'trace_an': -8}
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id: 189373007
{'hecke_orbit_code': 31525197425155908, 'n': 8, 'trace_an': 0}
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id: 189373008
{'hecke_orbit_code': 31525197425155908, 'n': 9, 'trace_an': 13}
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id: 189373009
{'hecke_orbit_code': 31525197425155908, 'n': 10, 'trace_an': 0}
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id: 189373010
{'hecke_orbit_code': 31525197425155908, 'n': 11, 'trace_an': 1}
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id: 189373011
{'hecke_orbit_code': 31525197425155908, 'n': 12, 'trace_an': 0}
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id: 189373012
{'hecke_orbit_code': 31525197425155908, 'n': 13, 'trace_an': 1}
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id: 189373013
{'hecke_orbit_code': 31525197425155908, 'n': 14, 'trace_an': 0}
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id: 189373014
{'hecke_orbit_code': 31525197425155908, 'n': 15, 'trace_an': -5}
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id: 189373015
{'hecke_orbit_code': 31525197425155908, 'n': 16, 'trace_an': 0}
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id: 189373016
{'hecke_orbit_code': 31525197425155908, 'n': 17, 'trace_an': -2}
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id: 189373017
{'hecke_orbit_code': 31525197425155908, 'n': 18, 'trace_an': 0}
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id: 189373018
{'hecke_orbit_code': 31525197425155908, 'n': 19, 'trace_an': -10}
-
id: 189373019
{'hecke_orbit_code': 31525197425155908, 'n': 20, 'trace_an': 0}
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id: 189373020
{'hecke_orbit_code': 31525197425155908, 'n': 21, 'trace_an': 8}
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id: 189373021
{'hecke_orbit_code': 31525197425155908, 'n': 22, 'trace_an': 0}
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id: 189373022
{'hecke_orbit_code': 31525197425155908, 'n': 23, 'trace_an': -13}
-
id: 189373023
{'hecke_orbit_code': 31525197425155908, 'n': 24, 'trace_an': 0}
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id: 189373024
{'hecke_orbit_code': 31525197425155908, 'n': 25, 'trace_an': 14}
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id: 189373025
{'hecke_orbit_code': 31525197425155908, 'n': 26, 'trace_an': 0}
-
id: 189373026
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