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{'Nk2': 32088, 'analytic_conductor': 64.05599250147112, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [191, 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': [8022, 1, [2675, 6877, 2311], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 13, 'field_disc': 236465105383193942926644480, 'field_disc_factorization': [[2, 8], [3, 4], [5, 1], [13, 2], [109, 1], [367, 1], [40013, 1], [8431244671, 1]], 'field_poly': [-984, 5892, 2178, -21330, -9090, 14926, 4419, -4265, -823, 588, 67, -39, -2, 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, [984, 5892, -2178, -21330, 9090, 14926, -4419, -4265, 823, 588, -67, -39, 2, 1]], [11, [375808, 525440, -435456, -692832, 123424, 252996, -17404, -38125, 1429, 2683, -62, -86, 1, 1]], [13, [-640192, -18651226, 1016152, 8447494, -1060244, -1393387, 265400, 96313, -24978, -2357, 993, -16, -14, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835713366, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8022.2.a.w', 'level': 8022, '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': [2, 3, 7, 191], 'level_radical': 8022, 'minimal_twist': '8022.2.a.w', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-\\beta _{1}q^{5}-q^{6}-q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 13, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8022.2.a', 'trace_display': [-13, 13, -2, -13], 'trace_hash': 1388388608192935433, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.193', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.695', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.917', 'prec': 17}, {'__RealLiteral__': 0, 'data': '245.487', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9362.241', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [13, -13, 13, 13, -2, -13, -13, -13, 13, 2, -1, 13, 14, 13, -2, 13, 7, -13, 0, -2, -13, 1, 11, -13, 17, -14, 13, -13, 5, 2, -7, -13, -1, -7, 2, 13, 15, 0, 14, 2, -10, 13, 15, -1, -2, -11, -7, 13, 13, -17, 7, 14, 14, -13, 19, 13, 0, -5, -18, -2, 27, 7, -13, 13, 18, 1, 7, 7, 11, -2, -4, -13, 26, -15, 17, 0, 1, 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-0.1900706131425221, -0.26862525310223273, -0.3032790594986863, -0.29693685302948664, -0.2203644722369018, -0.1788941392473384, -0.20771041287757058, -0.2548171077929797, -0.19285827197262878, -0.2600408684438486, -0.26202533805820183, -0.2509188081405399, -0.1780746757229502, -0.12955626008632007, -0.13910112432161686, -0.4290464361428767, -0.2640907897262061, -0.2816632805636582, -0.13276240600212522, -0.15146678027290444, -0.44650768261850693, -0.22460029876004955], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 13, 'dual_embedding_m': 13, 'embedding_index': 13, 'embedding_m': 13, 'embedding_root_imag': 0.0, 'embedding_root_real': -3.3534403722728117, 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835713366, 'label': '8022.2.a.w.1.13', 'level': 8022, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [13, 11, 9, 15, 13, 11, 9, 15, 13, 10, 12, 11, 8, 15, 17, 7], 'Nk2': 32088, 'analytic_conductor': 64.05599250147112, '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': [8022, 1, [2675, 6877, 2311], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1529, 'dim': 189, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 33562454, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 13, 14, 14, 15, 16], 'label': '8022.2.a', 'level': 8022, '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': [2, 3, 7, 191], 'level_radical': 8022, 'mf_dim': 1544, 'mf_new_dim': 189, 'num_forms': 27, 'plus_dim': 85, 'prim_orbit_index': 1, 'relative_dim': 189, 'sturm_bound': 3072, 'trace_bound': 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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': 13, 'source_embedding_index': 13, 'source_hecke_orbit_code': 99079191835713366, 'source_is_minimal': True, 'source_label': '8022.2.a.w.1.13', 'source_level': 8022, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 13, 'target_hecke_orbit_code': 99079191835713366, 'target_is_minimal': True, 'target_label': '8022.2.a.w.1.13', 'target_level': 8022, 'twist_class_label': '8022.2.a.w.1.13', 'twist_class_level': 8022, '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: 4636400
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 99079191835713366, 'p': 2}
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id: 4636401
{'charpoly_factorization': [[[-1, 1], 13]], 'hecke_orbit_code': 99079191835713366, 'p': 3}
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id: 4636402
{'charpoly_factorization': [[[984, 5892, -2178, -21330, 9090, 14926, -4419, -4265, 823, 588, -67, -39, 2, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 5}
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id: 4636403
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 99079191835713366, 'p': 7}
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id: 4636404
{'charpoly_factorization': [[[375808, 525440, -435456, -692832, 123424, 252996, -17404, -38125, 1429, 2683, -62, -86, 1, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 11}
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id: 4636405
{'charpoly_factorization': [[[-640192, -18651226, 1016152, 8447494, -1060244, -1393387, 265400, 96313, -24978, -2357, 993, -16, -14, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 13}
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id: 4636406
{'charpoly_factorization': [[[938480, 2387600, -175896, -2173856, -413635, 605859, 144820, -69911, -15350, 3687, 579, -97, -7, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 17}
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id: 4636407
{'charpoly_factorization': [[[-76307328, 56306376, 34284204, -27574854, -4194240, 4084960, 217888, -273911, -5058, 9262, 43, -154, 0, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 19}
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id: 4636408
{'charpoly_factorization': [[[2632064, -75456, -32068064, 41869088, -10312164, -4734250, 1923441, 107268, -99256, 3667, 1867, -137, -11, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 23}
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id: 4636409
{'charpoly_factorization': [[[163938880, 653392240, 231258996, -147472916, -45826012, 14824244, 3004593, -751901, -84642, 18891, 1069, -224, -5, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 29}
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id: 4636410
{'charpoly_factorization': [[[3200, 2880, -27232, -22848, 52670, 23885, -31762, -7757, 6380, 1214, -435, -76, 7, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 31}
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id: 4636411
{'charpoly_factorization': [[[-71918592, -513772800, 157215360, 166982496, -44130108, -15299687, 4524992, 426773, -184984, 1174, 2891, -136, -15, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 37}
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id: 4636412
{'charpoly_factorization': [[[-14547392, -41617368, -9373556, 14755786, 5334646, -1511932, -765214, 37765, 44697, 1674, -1124, -88, 10, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 41}
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id: 4636413
{'charpoly_factorization': [[[-6190592, -5625280, 54370080, -82213040, 54521520, -16398260, 854538, 707523, -140466, -3087, 2736, -121, -15, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 43}
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id: 4636414
{'charpoly_factorization': [[[-833040512, -1800834752, -649155104, 236532864, 143518524, -879850, -9131893, -713182, 230436, 25841, -2257, -291, 7, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 47}
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id: 4636415
{'charpoly_factorization': [[[-1266825808, -46553528, 624870140, 30015268, -98647092, -1855614, 7090035, -114769, -242393, 11081, 3467, -222, -14, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 53}
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id: 4636416
{'charpoly_factorization': [[[19501861888, -21128679680, -9322790976, 3797889440, 1282953440, -164595928, -64468762, 512431, 1116638, 34483, -7670, -363, 18, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 59}
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id: 4636417
{'charpoly_factorization': [[[-88782912, 7166181888, -8054558352, 2612280384, 123601884, -199994984, 19651479, 4329982, -698657, -25497, 7650, -105, -27, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 61}
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id: 4636418
{'charpoly_factorization': [[[-110581760, 144099840, 16027712, -58514796, -1810916, 8109156, 351780, -497643, -27329, 14430, 766, -195, -7, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 67}
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id: 4636419
{'charpoly_factorization': [[[-168128, 199100212, -434644500, -111879620, 171544988, 33380601, -18227461, -3755856, 323630, 70164, -1986, -460, 4, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 71}
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id: 4636420
{'charpoly_factorization': [[[-3215749610, 6411049730, -2580810638, -1092518234, 931757247, -148068383, -28679761, 11194523, -906170, -55635, 10613, -203, -26, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 73}
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id: 4636421
{'charpoly_factorization': [[[6018813376, 4125454048, -5988458304, -3644593904, -42075050, 250432017, 23921830, -5868011, -699916, 59285, 6497, -350, -20, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 79}
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id: 4636422
{'charpoly_factorization': [[[34411204946, 101364534990, 28403590734, -12880395306, -2761274861, 763036621, 53192557, -15772337, -390485, 145862, 1141, -624, -1, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 83}
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id: 4636423
{'charpoly_factorization': [[[9504624, 14310816, -59830392, -176779638, -174128772, -71371660, -7937656, 1748449, 427138, 3934, -4794, -240, 15, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 89}
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id: 4636424
{'charpoly_factorization': [[[-203692288, 353832640, 900853248, -333054992, -850717600, -95099164, 84495264, 116741, -1851377, 70542, 11013, -555, -18, 1], 1]], 'hecke_orbit_code': 99079191835713366, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '8022.2.a.w', 'level': 8022, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65624599
{'hecke_orbit_code': 99079191835713366, 'n': 1, 'trace_an': 13}
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id: 65624600
{'hecke_orbit_code': 99079191835713366, 'n': 2, 'trace_an': -13}
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id: 65624601
{'hecke_orbit_code': 99079191835713366, 'n': 3, 'trace_an': 13}
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id: 65624602
{'hecke_orbit_code': 99079191835713366, 'n': 4, 'trace_an': 13}
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id: 65624603
{'hecke_orbit_code': 99079191835713366, 'n': 5, 'trace_an': -2}
-
id: 65624604
{'hecke_orbit_code': 99079191835713366, 'n': 6, 'trace_an': -13}
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id: 65624605
{'hecke_orbit_code': 99079191835713366, 'n': 7, 'trace_an': -13}
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id: 65624606
{'hecke_orbit_code': 99079191835713366, 'n': 8, 'trace_an': -13}
-
id: 65624607
{'hecke_orbit_code': 99079191835713366, 'n': 9, 'trace_an': 13}
-
id: 65624608
{'hecke_orbit_code': 99079191835713366, 'n': 10, 'trace_an': 2}
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id: 65624609
{'hecke_orbit_code': 99079191835713366, 'n': 11, 'trace_an': -1}
-
id: 65624610
{'hecke_orbit_code': 99079191835713366, 'n': 12, 'trace_an': 13}
-
id: 65624611
{'hecke_orbit_code': 99079191835713366, 'n': 13, 'trace_an': 14}
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id: 65624612
{'hecke_orbit_code': 99079191835713366, 'n': 14, 'trace_an': 13}
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id: 65624613
{'hecke_orbit_code': 99079191835713366, 'n': 15, 'trace_an': -2}
-
id: 65624614
{'hecke_orbit_code': 99079191835713366, 'n': 16, 'trace_an': 13}
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id: 65624615
{'hecke_orbit_code': 99079191835713366, 'n': 17, 'trace_an': 7}
-
id: 65624616
{'hecke_orbit_code': 99079191835713366, 'n': 18, 'trace_an': -13}
-
id: 65624617
{'hecke_orbit_code': 99079191835713366, 'n': 19, 'trace_an': 0}
-
id: 65624618
{'hecke_orbit_code': 99079191835713366, 'n': 20, 'trace_an': -2}
-
id: 65624619
{'hecke_orbit_code': 99079191835713366, 'n': 21, 'trace_an': -13}
-
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