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{'Nk2': 6188, 'analytic_conductor': 12.352857192692076, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [13, 1], [17, -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': [1547, 1, [885, 834, 547], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 4166316601173, 'field_disc_factorization': [[3, 2], [23, 1], [373, 1], [4139, 1], [13037, 1]], 'field_poly': [-1, 0, 13, -2, -34, 6, 21, -6, -3, 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, [1, 0, -13, -2, 34, 6, -21, -6, 3, 1]], [3, [5, -17, -60, 24, 90, 1, -41, -8, 4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797778955, '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': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1547.2.a.g', 'level': 1547, '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': True, 'level_primes': [7, 13, 17], 'level_radical': 1547, 'minimal_twist': '1547.2.a.g', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{5}q^{3}+(\\beta _{1}+\\beta _{2})q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1547.2.a', 'trace_display': [-3, -4, -6, 9], 'trace_hash': 1943664602389690016, 'trace_moments': [{'__RealLiteral__': 0, 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-
mf_newspaces • Show schema
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{'ALdims': [14, 11, 14, 7, 14, 9, 6, 20], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [3, 13, 9, 12, 8, 9, 11, 5], 'Nk2': 6188, 'analytic_conductor': 12.352857192692076, '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': [1547, 1, [885, 834, 547], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 165, 'dim': 95, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33555979, 'hecke_orbit_dims': [1, 2, 4, 6, 6, 7, 9, 14, 14, 14, 18], 'label': '1547.2.a', 'level': 1547, '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': True, 'level_primes': [7, 13, 17], 'level_radical': 1547, 'mf_dim': 172, 'mf_new_dim': 95, 'num_forms': 11, 'plus_dim': 36, 'prim_orbit_index': 1, 'relative_dim': 95, 'sturm_bound': 336, 'trace_bound': 2, 'trace_display': [1, 4, 2, 3], 'traces': [95, 1, 4, 93, 2, -12, 3, -3, 91, -2, 12, 20, -1, 1, 16, 109, -1, 37, -20, 46, -4, 4, -4, -4, 93, -3, 16, 21, -10, 20, -8, -15, -40, -3, -2, 77, 10, 12, 12, -42, -18, 8, 8, 4, 34, 8, 24, 44, 95, -13, -4, 9, 70, -120, 16, 21, -64, -26, -36, 20, -22, -32, 7, 85, 14, -64, 28, -7, 72, -18, 72, -3, -10, 22, 100, -140, 4, -4, -4, 6, 87, -30, -44, -28, 2, -48, 40, -12, -34, -82, 7, -96, 40, -32, -12, -140, -26, 1, 4, 99, 10, 16, 64, -15, 8, -90, 76, 184, -22, 48, -16, 29, 26, -24, 32, -130, -13, -36, 19, 28, 99, -114, -48, -72, 60, -19, 32, 125, -64, 54, -28, -232, 0, 36, 128, -15, -18, 0, -28, -6, -48, 8, -4, 57, -44, -78, 4, 38, 10, -84, -48, 52, 3, 60, -52, 4, 98, -56, -40, -50, 8, 29, 4, 10, -40, 108, 8, -20, 95, -18, -44, 172, -22, -72, -3, -92, 120, 26, 8, 94, 10, 9, 24, 0, 140, -108, -12, 176, -16, -32, 8, 124, -2, -94, -24, 93, -6, 124, 24, -125, 144, 182, 10, 44, -76, 64, -20, 1, 24, -56, -64, 114, 24, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021597797778955, 'source_is_minimal': True, 'source_label': '1547.2.a.g.1.6', 'source_level': 1547, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021597797778955, 'target_is_minimal': True, 'target_label': '1547.2.a.g.1.6', 'target_level': 1547, 'twist_class_label': '1547.2.a.g.1.6', 'twist_class_level': 1547, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2026300
{'charpoly_factorization': [[[1, 0, -13, -2, 34, 6, -21, -6, 3, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 2}
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id: 2026301
{'charpoly_factorization': [[[5, -17, -60, 24, 90, 1, -41, -8, 4, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 3}
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id: 2026302
{'charpoly_factorization': [[[1, 2, -41, 33, 63, -30, -36, 2, 6, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 5}
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id: 2026303
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 27021597797778955, 'p': 7}
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id: 2026304
{'charpoly_factorization': [[[-48, 320, -608, 116, 407, -73, -111, -6, 7, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 11}
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id: 2026305
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 27021597797778955, 'p': 13}
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id: 2026306
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 27021597797778955, 'p': 17}
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id: 2026307
{'charpoly_factorization': [[[-135472, -194368, -77336, 7862, 10523, 944, -438, -63, 6, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 19}
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id: 2026308
{'charpoly_factorization': [[[-144, 1616, 22528, 30994, 14057, 1494, -455, -91, 3, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 23}
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id: 2026309
{'charpoly_factorization': [[[7344, 2088, -11160, -4380, 3051, 880, -235, -60, 4, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 29}
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id: 2026310
{'charpoly_factorization': [[[2157937, 303903, -1971118, -524774, 52186, 19323, -351, -240, 0, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 31}
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id: 2026311
{'charpoly_factorization': [[[5357824, 9932224, 4921888, 705336, -88479, -32281, -1786, 235, 31, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 37}
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id: 2026312
{'charpoly_factorization': [[[1425, 17231, 4817, -32962, 5368, 6555, 201, -174, -3, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 41}
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id: 2026313
{'charpoly_factorization': [[[-854991, -6685279, -360064, 735748, 88120, -19419, -3445, 8, 24, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 43}
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id: 2026314
{'charpoly_factorization': [[[101840, -395152, 332524, -53308, -28227, 6804, 741, -165, -7, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 47}
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id: 2026315
{'charpoly_factorization': [[[73231, -32114, -60537, 16505, 16167, -1714, -1358, -22, 18, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 53}
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id: 2026316
{'charpoly_factorization': [[[424240, -488368, -515440, 364338, 174431, 11083, -2653, -260, 9, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 59}
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id: 2026317
{'charpoly_factorization': [[[-22985, -162076, -331394, -296474, -129726, -28337, -2591, 41, 22, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 61}
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id: 2026318
{'charpoly_factorization': [[[1109253, 1106498, -392495, -783865, -315767, -51538, -2530, 240, 32, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 67}
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id: 2026319
{'charpoly_factorization': [[[2226128, -14233800, 1315580, 2168674, -445825, -5727, 6211, -253, -18, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 71}
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id: 2026320
{'charpoly_factorization': [[[-460535, -1002808, -546294, 33270, 66330, 3137, -2043, -149, 14, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 73}
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id: 2026321
{'charpoly_factorization': [[[-32764880, 24713224, 19825296, 2186916, -428227, -86911, -1437, 609, 46, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 79}
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id: 2026322
{'charpoly_factorization': [[[-1769808, 6191192, -4459408, -147020, 229557, 7172, -3826, -201, 16, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 83}
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id: 2026323
{'charpoly_factorization': [[[87712176, 919408, -12497328, -581174, 503969, 41576, -4391, -408, 10, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 89}
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id: 2026324
{'charpoly_factorization': [[[-193612229, 196678451, -25653459, -6557808, 825390, 83965, -6731, -500, 15, 1], 1]], 'hecke_orbit_code': 27021597797778955, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1547.2.a.g', 'level': 1547, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 45194095
{'hecke_orbit_code': 27021597797778955, 'n': 1, 'trace_an': 9}
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id: 45194096
{'hecke_orbit_code': 27021597797778955, 'n': 2, 'trace_an': -3}
-
id: 45194097
{'hecke_orbit_code': 27021597797778955, 'n': 3, 'trace_an': -4}
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id: 45194098
{'hecke_orbit_code': 27021597797778955, 'n': 4, 'trace_an': 3}
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id: 45194099
{'hecke_orbit_code': 27021597797778955, 'n': 5, 'trace_an': -6}
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id: 45194100
{'hecke_orbit_code': 27021597797778955, 'n': 6, 'trace_an': 2}
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id: 45194101
{'hecke_orbit_code': 27021597797778955, 'n': 7, 'trace_an': 9}
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id: 45194102
{'hecke_orbit_code': 27021597797778955, 'n': 8, 'trace_an': -6}
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id: 45194103
{'hecke_orbit_code': 27021597797778955, 'n': 9, 'trace_an': 5}
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id: 45194104
{'hecke_orbit_code': 27021597797778955, 'n': 10, 'trace_an': -9}
-
id: 45194105
{'hecke_orbit_code': 27021597797778955, 'n': 11, 'trace_an': -7}
-
id: 45194106
{'hecke_orbit_code': 27021597797778955, 'n': 12, 'trace_an': 2}
-
id: 45194107
{'hecke_orbit_code': 27021597797778955, 'n': 13, 'trace_an': -9}
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id: 45194108
{'hecke_orbit_code': 27021597797778955, 'n': 14, 'trace_an': -3}
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id: 45194109
{'hecke_orbit_code': 27021597797778955, 'n': 15, 'trace_an': -5}
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id: 45194110
{'hecke_orbit_code': 27021597797778955, 'n': 16, 'trace_an': 3}
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id: 45194111
{'hecke_orbit_code': 27021597797778955, 'n': 17, 'trace_an': 9}
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id: 45194112
{'hecke_orbit_code': 27021597797778955, 'n': 18, 'trace_an': -9}
-
id: 45194113
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id: 45194314
{'hecke_orbit_code': 27021597797778955, 'n': 743, 'trace_an': 40}
-
id: 45194315
{'hecke_orbit_code': 27021597797778955, 'n': 751, 'trace_an': 55}
-
id: 45194316
{'hecke_orbit_code': 27021597797778955, 'n': 757, 'trace_an': -180}
-
id: 45194317
{'hecke_orbit_code': 27021597797778955, 'n': 761, 'trace_an': -38}
-
id: 45194318
{'hecke_orbit_code': 27021597797778955, 'n': 769, 'trace_an': 38}
-
id: 45194319
{'hecke_orbit_code': 27021597797778955, 'n': 773, 'trace_an': -128}
-
id: 45194320
{'hecke_orbit_code': 27021597797778955, 'n': 787, 'trace_an': -17}
-
id: 45194321
{'hecke_orbit_code': 27021597797778955, 'n': 797, 'trace_an': 23}
-
id: 45194322
{'hecke_orbit_code': 27021597797778955, 'n': 809, 'trace_an': 45}
-
id: 45194323
{'hecke_orbit_code': 27021597797778955, 'n': 811, 'trace_an': 54}
-
id: 45194324
{'hecke_orbit_code': 27021597797778955, 'n': 821, 'trace_an': 66}
-
id: 45194325
{'hecke_orbit_code': 27021597797778955, 'n': 823, 'trace_an': -87}
-
id: 45194326
{'hecke_orbit_code': 27021597797778955, 'n': 827, 'trace_an': 23}
-
id: 45194327
{'hecke_orbit_code': 27021597797778955, 'n': 829, 'trace_an': -25}
-
id: 45194328
{'hecke_orbit_code': 27021597797778955, 'n': 839, 'trace_an': 60}
-
id: 45194329
{'hecke_orbit_code': 27021597797778955, 'n': 841, 'trace_an': -125}
-
id: 45194330
{'hecke_orbit_code': 27021597797778955, 'n': 853, 'trace_an': 8}
-
id: 45194331
{'hecke_orbit_code': 27021597797778955, 'n': 857, 'trace_an': 86}
-
id: 45194332
{'hecke_orbit_code': 27021597797778955, 'n': 859, 'trace_an': 10}
-
id: 45194333
{'hecke_orbit_code': 27021597797778955, 'n': 863, 'trace_an': 120}
-
id: 45194334
{'hecke_orbit_code': 27021597797778955, 'n': 877, 'trace_an': 33}
-
id: 45194335
{'hecke_orbit_code': 27021597797778955, 'n': 881, 'trace_an': -14}
-
id: 45194336
{'hecke_orbit_code': 27021597797778955, 'n': 883, 'trace_an': -14}
-
id: 45194337
{'hecke_orbit_code': 27021597797778955, 'n': 887, 'trace_an': 57}
-
id: 45194338
{'hecke_orbit_code': 27021597797778955, 'n': 907, 'trace_an': -76}
-
id: 45194339
{'hecke_orbit_code': 27021597797778955, 'n': 911, 'trace_an': 139}
-
id: 45194340
{'hecke_orbit_code': 27021597797778955, 'n': 919, 'trace_an': 67}
-
id: 45194341
{'hecke_orbit_code': 27021597797778955, 'n': 929, 'trace_an': 54}
-
id: 45194342
{'hecke_orbit_code': 27021597797778955, 'n': 937, 'trace_an': -113}
-
id: 45194343
{'hecke_orbit_code': 27021597797778955, 'n': 941, 'trace_an': 94}
-
id: 45194344
{'hecke_orbit_code': 27021597797778955, 'n': 947, 'trace_an': -22}
-
id: 45194345
{'hecke_orbit_code': 27021597797778955, 'n': 953, 'trace_an': -25}
-
id: 45194346
{'hecke_orbit_code': 27021597797778955, 'n': 961, 'trace_an': 201}
-
id: 45194347
{'hecke_orbit_code': 27021597797778955, 'n': 967, 'trace_an': -125}
-
id: 45194348
{'hecke_orbit_code': 27021597797778955, 'n': 971, 'trace_an': 12}
-
id: 45194349
{'hecke_orbit_code': 27021597797778955, 'n': 977, 'trace_an': -170}
-
id: 45194350
{'hecke_orbit_code': 27021597797778955, 'n': 983, 'trace_an': -104}
-
id: 45194351
{'hecke_orbit_code': 27021597797778955, 'n': 991, 'trace_an': -7}
-
id: 45194352
{'hecke_orbit_code': 27021597797778955, 'n': 997, 'trace_an': -70}