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mf_newforms • Show schema
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{'Nk2': 2208, 'analytic_conductor': 4.407742191574677, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [552, 2, [415, 277, 185, 97], [2, 1, 2, 2]], 'cm_discs': [], 'conrey_index': 277, 'dim': 18, 'field_disc': -1943431910136961419251286016, 'field_disc_factorization': [[-1, 1], [2, 22], [43, 2], [3541, 2], [141371, 2]], 'field_poly': [512, 0, -512, -128, 160, 32, 48, 96, -24, -88, -12, 24, 6, 2, 5, -2, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [256, 0, 7744, 0, 46976, 0, 112608, 0, 119952, 0, 57236, 0, 11920, 0, 1188, 0, 56, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007542885679656, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 128, 'hecke_ring_index_factorization': [[2, 7]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 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': True, 'label': '552.2.f.c', 'level': 552, '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, 3, 23], 'level_radical': 138, 'minimal_twist': '552.2.f.c', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{3}q^{2}-\\beta _{4}q^{3}-\\beta _{2}q^{4}+\\beta _{9}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '552.2.f', 'trace_display': [0, 0, 0, 8], 'trace_hash': 1474021997083666196, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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-0.14233963071018457, 0.04062119666753406, -0.43939724128938545, -0.45941749137968446, -0.1637520675849127, -0.46556774371728127, -0.16134216070960472, -0.30560110664706935, -0.11859446032367242, -0.0788989984401311, -0.40886639944900116, -0.43019129977259346, -0.35624663498500353, -0.13249054370069738, -0.47598959498204524, -0.27009933463547225, -0.32297312265817174, -0.14414555100748702, 0.01843431390571388], 'char_orbit_index': 6, 'conrey_index': 277, 'dual_conrey_index': 277, 'dual_embedding_index': 13, 'dual_embedding_m': 13, 'embedding_index': 14, 'embedding_m': 14, 'embedding_root_imag': -0.6247691245479364, 'embedding_root_real': 1.2687251637023698, 'hecke_orbit': 3, 'hecke_orbit_code': 9007542885679656, 'label': '552.2.f.c.277.14', 'level': 552, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2208, 'analytic_conductor': 4.407742191574677, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [552, 2, [415, 277, 185, 97], [2, 1, 2, 2]], 'conrey_index': 277, 'cusp_dim': 92, 'dim': 44, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 343630938664, 'hecke_orbit_dims': [2, 4, 18, 20], 'label': '552.2.f', 'level': 552, '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, 3, 23], 'level_radical': 138, 'mf_dim': 100, 'mf_new_dim': 44, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 44, 'sturm_bound': 192, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [44, 0, 0, 0, 0, 0, 0, -12, -44, -4, 0, -8, 0, -4, 0, 24, 8, 0, 0, -4, 0, -20, 0, 12, -52, 16, 0, 0, 0, -8, -24, -20, 0, 8, 0, 0, 0, 4, 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-232, 0, 72, 0, 32, 40, 200, -112, -8, 0, -116, 0, -384, 0, -496], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40891627
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 277, 'source_dim': 18, 'source_embedding_index': 14, 'source_hecke_orbit_code': 9007542885679656, 'source_is_minimal': True, 'source_label': '552.2.f.c.277.14', 'source_level': 552, 'target_conrey_index': 277, 'target_dim': 18, 'target_embedding_index': 14, 'target_hecke_orbit_code': 9007542885679656, 'target_is_minimal': True, 'target_label': '552.2.f.c.277.14', 'target_level': 552, 'twist_class_label': '552.2.f.c.277.13', 'twist_class_level': 552, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40891628
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 277, 'source_dim': 18, 'source_embedding_index': 14, 'source_hecke_orbit_code': 9007542885679656, 'source_is_minimal': True, 'source_label': '552.2.f.c.277.14', 'source_level': 552, 'target_conrey_index': 1105, 'target_dim': 18, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885681312, 'target_is_minimal': False, 'target_label': '2208.2.f.c.1105.2', 'target_level': 2208, 'twist_class_label': '552.2.f.c.277.13', 'twist_class_level': 552, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40891629
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 277, 'source_dim': 18, 'source_embedding_index': 14, 'source_hecke_orbit_code': 9007542885679656, 'source_is_minimal': True, 'source_label': '552.2.f.c.277.14', 'source_level': 552, 'target_conrey_index': 1105, 'target_dim': 18, 'target_embedding_index': 17, 'target_hecke_orbit_code': 9007542885681312, 'target_is_minimal': False, 'target_label': '2208.2.f.c.1105.17', 'target_level': 2208, 'twist_class_label': '552.2.f.c.277.13', 'twist_class_level': 552, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40891630
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 277, 'source_dim': 18, 'source_embedding_index': 14, 'source_hecke_orbit_code': 9007542885679656, 'source_is_minimal': True, 'source_label': '552.2.f.c.277.14', 'source_level': 552, 'target_conrey_index': 277, 'target_dim': 18, 'target_embedding_index': 13, 'target_hecke_orbit_code': 9007542885679656, 'target_is_minimal': True, 'target_label': '552.2.f.c.277.13', 'target_level': 552, 'twist_class_label': '552.2.f.c.277.13', 'twist_class_level': 552, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1040600
{'charpoly_factorization': [[[512, 0, 512, 128, 160, 96, -16, 0, -24, -24, -12, 0, -2, 6, 5, 2, 4, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 2}
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id: 1040601
{'charpoly_factorization': [[[1, 0, 1], 9]], 'hecke_orbit_code': 9007542885679656, 'p': 3}
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id: 1040602
{'charpoly_factorization': [[[256, 0, 7744, 0, 46976, 0, 112608, 0, 119952, 0, 57236, 0, 11920, 0, 1188, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 5}
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id: 1040603
{'charpoly_factorization': [[[64, -584, 1432, -508, -852, 306, 120, -34, -4, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 7}
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id: 1040604
{'charpoly_factorization': [[[200704, 0, 2520064, 0, 5872640, 0, 5381632, 0, 2286144, 0, 488208, 0, 54736, 0, 3212, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 11}
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id: 1040605
{'charpoly_factorization': [[[750321664, 0, 989728768, 0, 507574272, 0, 137212672, 0, 22003072, 0, 2199568, 0, 138208, 0, 5288, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 13}
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id: 1040606
{'charpoly_factorization': [[[6976, 41016, -11992, -13756, 3156, 1450, -220, -66, 4, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 17}
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id: 1040607
{'charpoly_factorization': [[[3650093056, 0, 5162595392, 0, 2714809856, 0, 689282272, 0, 96499328, 0, 7916404, 0, 386384, 0, 10932, 0, 164, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 19}
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id: 1040608
{'charpoly_factorization': [[[1, 1], 18]], 'hecke_orbit_code': 9007542885679656, 'p': 23}
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id: 1040609
{'charpoly_factorization': [[[440664064, 0, 9944629248, 0, 36173955072, 0, 24085655552, 0, 3945244672, 0, 205356544, 0, 4980416, 0, 62576, 0, 396, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 29}
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id: 1040610
{'charpoly_factorization': [[[67072, 408832, 620672, 312128, 21248, -14016, -2280, 28, 22, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 31}
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id: 1040611
{'charpoly_factorization': [[[2801579659264, 0, 2403984479232, 0, 772450724864, 0, 116454083072, 0, 8674510144, 0, 336818704, 0, 7004240, 0, 78348, 0, 444, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 37}
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id: 1040612
{'charpoly_factorization': [[[16384, -770048, 579584, 40192, -65184, 2288, 1784, -108, -14, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 41}
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id: 1040613
{'charpoly_factorization': [[[23406089184256, 0, 20509127222848, 0, 4007041613056, 0, 356959096800, 0, 17428596800, 0, 498760852, 0, 8506464, 0, 84628, 0, 452, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 43}
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id: 1040614
{'charpoly_factorization': [[[-1608704, 1446720, 152000, -207328, -3568, 9748, 32, -172, 0, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 47}
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id: 1040615
{'charpoly_factorization': [[[3540726016, 0, 261918950976, 0, 171488090496, 0, 41809709920, 0, 4680419024, 0, 247108084, 0, 6419392, 0, 81380, 0, 472, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 53}
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id: 1040616
{'charpoly_factorization': [[[1609619535364096, 0, 747042929217536, 0, 113756870215680, 0, 6659973192448, 0, 197530984576, 0, 3362870288, 0, 34427104, 0, 209960, 0, 704, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 59}
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id: 1040617
{'charpoly_factorization': [[[1294060757979136, 0, 736698105050112, 0, 129570600946688, 0, 7873567952384, 0, 237058972736, 0, 4042354448, 0, 40815824, 0, 240876, 0, 764, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 61}
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id: 1040618
{'charpoly_factorization': [[[20495829581824, 0, 11151744463424, 0, 2392011559168, 0, 260189261920, 0, 15486382784, 0, 516539124, 0, 9715568, 0, 100212, 0, 516, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 67}
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id: 1040619
{'charpoly_factorization': [[[2633728, 1160192, -1509376, -160512, 115520, 10960, -2544, -244, 12, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 71}
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id: 1040620
{'charpoly_factorization': [[[34816, -185344, 139776, 22272, -36704, 3248, 1816, -252, -6, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 73}
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id: 1040621
{'charpoly_factorization': [[[-371744, 250680, 284680, -134556, -51716, 19138, 1444, -330, -4, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 79}
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id: 1040622
{'charpoly_factorization': [[[28955763675136, 0, 11680746968064, 0, 1971731293184, 0, 181283657216, 0, 9907958592, 0, 330048784, 0, 6614224, 0, 75788, 0, 444, 0, 1], 1]], 'hecke_orbit_code': 9007542885679656, 'p': 83}
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id: 1040623
{'charpoly_factorization': [[[-203802464, 155595064, 22670248, -5223244, -508276, 68442, 4216, -418, -12, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 89}
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id: 1040624
{'charpoly_factorization': [[[-53447168, -57511168, -20548864, -2154368, 272896, 61248, 144, -424, -6, 1], 2]], 'hecke_orbit_code': 9007542885679656, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 3, 'label': '552.2.f.c', 'level': 552, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30671275
{'hecke_orbit_code': 9007542885679656, 'n': 1, 'trace_an': 18}
-
id: 30671276
{'hecke_orbit_code': 9007542885679656, 'n': 2, 'trace_an': 0}
-
id: 30671277
{'hecke_orbit_code': 9007542885679656, 'n': 3, 'trace_an': 0}
-
id: 30671278
{'hecke_orbit_code': 9007542885679656, 'n': 4, 'trace_an': -8}
-
id: 30671279
{'hecke_orbit_code': 9007542885679656, 'n': 5, 'trace_an': 0}
-
id: 30671280
{'hecke_orbit_code': 9007542885679656, 'n': 6, 'trace_an': 0}
-
id: 30671281
{'hecke_orbit_code': 9007542885679656, 'n': 7, 'trace_an': 8}
-
id: 30671282
{'hecke_orbit_code': 9007542885679656, 'n': 8, 'trace_an': -6}
-
id: 30671283
{'hecke_orbit_code': 9007542885679656, 'n': 9, 'trace_an': -18}
-
id: 30671284
{'hecke_orbit_code': 9007542885679656, 'n': 10, 'trace_an': 12}
-
id: 30671285
{'hecke_orbit_code': 9007542885679656, 'n': 11, 'trace_an': 0}
-
id: 30671286
{'hecke_orbit_code': 9007542885679656, 'n': 12, 'trace_an': -4}
-
id: 30671287
{'hecke_orbit_code': 9007542885679656, 'n': 13, 'trace_an': 0}
-
id: 30671288
{'hecke_orbit_code': 9007542885679656, 'n': 14, 'trace_an': -14}
-
id: 30671289
{'hecke_orbit_code': 9007542885679656, 'n': 15, 'trace_an': 8}
-
id: 30671290
{'hecke_orbit_code': 9007542885679656, 'n': 16, 'trace_an': 12}
-
id: 30671291
{'hecke_orbit_code': 9007542885679656, 'n': 17, 'trace_an': -8}
-
id: 30671292
{'hecke_orbit_code': 9007542885679656, 'n': 18, 'trace_an': 0}
-
id: 30671293
{'hecke_orbit_code': 9007542885679656, 'n': 19, 'trace_an': 0}
-
id: 30671294
{'hecke_orbit_code': 9007542885679656, 'n': 20, 'trace_an': -16}
-
id: 30671295
{'hecke_orbit_code': 9007542885679656, 'n': 21, 'trace_an': 0}
-
id: 30671296
{'hecke_orbit_code': 9007542885679656, 'n': 22, 'trace_an': -30}
-
id: 30671297
{'hecke_orbit_code': 9007542885679656, 'n': 23, 'trace_an': -18}
-
id: 30671298
{'hecke_orbit_code': 9007542885679656, 'n': 24, 'trace_an': 6}
-
id: 30671299
{'hecke_orbit_code': 9007542885679656, 'n': 25, 'trace_an': -22}
-
id: 30671300
{'hecke_orbit_code': 9007542885679656, 'n': 26, 'trace_an': 8}
-
id: 30671301
{'hecke_orbit_code': 9007542885679656, 'n': 27, 'trace_an': 0}
-
id: 30671302
{'hecke_orbit_code': 9007542885679656, 'n': 28, 'trace_an': -2}
-
id: 30671303
{'hecke_orbit_code': 9007542885679656, 'n': 29, 'trace_an': 0}
-
id: 30671304
{'hecke_orbit_code': 9007542885679656, 'n': 30, 'trace_an': 4}
-
id: 30671305
{'hecke_orbit_code': 9007542885679656, 'n': 31, 'trace_an': -44}
-
id: 30671306
{'hecke_orbit_code': 9007542885679656, 'n': 32, 'trace_an': 10}
-
id: 30671307
{'hecke_orbit_code': 9007542885679656, 'n': 33, 'trace_an': -24}
-
id: 30671308
{'hecke_orbit_code': 9007542885679656, 'n': 34, 'trace_an': 18}
-
id: 30671309
{'hecke_orbit_code': 9007542885679656, 'n': 35, 'trace_an': 0}
-
id: 30671310
{'hecke_orbit_code': 9007542885679656, 'n': 36, 'trace_an': 8}
-
id: 30671311
{'hecke_orbit_code': 9007542885679656, 'n': 37, 'trace_an': 0}
-
id: 30671312
{'hecke_orbit_code': 9007542885679656, 'n': 38, 'trace_an': -20}
-
id: 30671313
{'hecke_orbit_code': 9007542885679656, 'n': 39, 'trace_an': -8}
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id: 30671314
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