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{'Nk2': 8056, 'analytic_conductor': 16.08187096708587, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [19, 1], [53, 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': [2014, 1, [743, 267], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 497146019932, 'field_disc_factorization': [[2, 2], [617, 1], [13177, 1], [15287, 1]], 'field_poly': [-10, -52, -61, 21, 50, -1, -13, 0, 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, [-10, 52, -61, -21, 50, 1, -13, 0, 1]], [7, [52, -236, -391, 84, 179, -6, -24, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797779422, 'hecke_ring_generator_nbound': 3, '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': '2014.2.a.g', 'level': 2014, '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, 19, 53], 'level_radical': 2014, 'minimal_twist': '2014.2.a.g', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{5}q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2014.2.a', 'trace_display': [-8, 0, 1, 0], 'trace_hash': 1733131329794032558, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.627', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.185', 'prec': 17}, {'__RealLiteral__': 0, 'data': '119.476', 'prec': 24}, {'__RealLiteral__': 0, 'data': '59.317', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3166.971', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [8, -8, 0, 8, 1, 0, 0, -8, 2, -1, -6, 0, -5, 0, 1, 8, -9, -2, -8, 1, -9, 6, -1, 0, -9, 5, -3, 0, -23, -1, -6, -8, -6, 9, -7, 2, 1, 8, -5, -1, -3, 9, 9, -6, -9, 1, -13, 0, -8, 9, -24, -5, -8, 3, -11, 0, 0, 23, -9, 1, 0, 6, -18, 8, -26, 6, 9, -9, -22, 7, -31, -2, 5, -1, -1, -8, -4, 5, 19, 1, -24, 3, 11, -9, 19, -9, -22, 6, -41, 9, 18, -1, 3, 13, -1, 0, -24, 8, -4, -9, 1, 24, 9, 5, -21, 8, -29, -3, -16, 11, 44, 0, -31, 0, -5, -23, 7, 9, 2, -1, -12, 0, -9, -6, -15, 18, 1, -8, -13, 26, -25, -6, 0, -9, 3, 9, -20, 22, -1, -7, -32, 31, -34, 2, -19, -5, -3, 1, -56, 1, 3, 8, -34, 4, -23, -5, 18, -19, 0, -1, -60, 24, 20, -3, -50, -11, -18, 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mf_hecke_nf • Show schema
Hide schema
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-4, -23, -15, -11], [4, 8, -7, 2, 10, 24, 28, 6], [-11, 18, -8, 8, -5, 1, 10, 9], [-14, -9, 10, 5, -1, 17, 2, 5], [8, -12, -12, 2, 6, 10, 16, -9], [22, -14, 13, 2, 2, 0, -7, -12], [-24, 8, 6, 4, 6, -2, 15, 11], [13, 3, -14, -12, 18, 1, 0, 0], [20, 11, -17, -22, 16, 19, -11, 0], [6, -7, 7, 13, -7, -8, 5, -11], [-8, 6, -6, -2, 13, 10, 6, -1], [1, -25, 1, 2, -1, 1, 6, -4], [11, -22, 17, -6, -2, -13, 4, -1], [-14, -7, -2, -2, 0, 3, -1, -12], [-37, 3, 5, 6, 10, -5, 4, 6], [10, 0, -4, -10, -2, -24, -8, -6], [-6, -2, 2, -12, 11, 2, -8, -9], [10, -3, -15, -11, 2, 26, -9, -6], [15, -19, 14, 9, -14, -20, -2, -7], [-23, 13, -12, -16, 10, 10, -3, 9], [-16, -18, 18, 16, -23, -5, -1, -16], [9, -13, 1, -16, 9, -9, 5, 0], [-7, -8, 28, 9, 0, -18, -24, -4], [4, -10, -5, 5, 11, 3, -14, 4], [-39, 3, -4, -2, 3, 15, 3, -6], [-23, -12, 15, 16, -18, -7, 4, 1], [1, -4, 17, 16, 0, -10, -5, -1], [0, 19, -5, 11, 4, -18, 3, -5], [14, -16, 10, 2, -15, -8, -12, -12], [-10, -17, 18, -8, -6, -13, -15, -4], [26, -2, -6, 0, 11, -4, -9, -9], [-15, 18, 1, -10, 11, 20, 3, 0], [-14, 5, -1, -10, 18, 0, 11, 1], [-7, 10, 5, 9, -2, -3, -13, 1], [16, 5, -11, -23, 13, 14, -17, -3], [10, -3, -9, -19, 2, -4, -16, -8], [-12, -1, 0, 4, -5, -2, 2, 11], [17, -11, -1, 6, 17, 18, -17, -9], [7, 15, -13, -17, 16, 17, 10, 17], [46, 18, -5, 4, 2, 6, 2, -8], [-6, -7, -7, 12, 11, 19, 2, -1]], 'char_orbit_index': 1, 'field_poly': [-10, -52, -61, 21, 50, -1, -13, 0, 1], 'hecke_orbit_code': 27021597797779422, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [3, 0, 1, 1, 0, 0, 0, 0], [1, 6, -2, -1, 0, 1, 1, 0], [15, -3, 8, 8, 0, 0, -1, 1], [1, 40, -20, -11, 0, 10, 10, 0], [90, -40, 61, 60, 1, -1, -11, 10], [-39, 282, -171, -103, 1, 80, 80, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [6, 20, 1, -10, 0, 1, 0, 0], [-9, -20, 0, 10, 0, -1, 0, 0], [-4, 4, 21, 1, -10, 0, 1, 0], [-7, -29, -16, 30, 11, -11, -1, 1], [9, 43, 18, -39, -11, 12, 1, -1], [18, 46, 10, -39, -10, 12, 1, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '2014.2.a.g', 'level': 2014, 'maxp': 2999, 'weight': 2}
-
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{'ALdims': [8, 11, 13, 7, 11, 8, 7, 12], 'Nk2': 8056, 'analytic_conductor': 16.08187096708587, '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': [2014, 1, [743, 267], [1, 1]], 'conrey_index': 1, 'cusp_dim': 267, 'dim': 77, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33556446, 'hecke_orbit_dims': [1, 1, 1, 2, 6, 7, 8, 8, 9, 11, 11, 12], 'label': '2014.2.a', 'level': 2014, '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, 19, 53], 'level_radical': 2014, 'mf_dim': 274, 'mf_new_dim': 77, 'num_forms': 12, 'plus_dim': 30, 'prim_orbit_index': 1, 'relative_dim': 77, 'sturm_bound': 540, 'trace_bound': 3, 'trace_display': [-1, -4, 2, -4], 'traces': [77, -1, -4, 77, 2, 4, -4, -1, 89, -6, 8, -4, -14, 0, -8, 77, 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-26, 68, 80, -132, 80, 146, -104, -80, -4, 192, -42, -64, -10, 160, -72, 44, 24, 48, 50, 104, 120, -2, 16, -104, -26, 98, 184, -23, 114, -24, 108, 264, -58, 82, -32, 160, -8, 74, -104, 152, -36, 296, -16, -12, 72, 52, -31, -576, -16, 226, 17, 348, 28, 528, 84, -184, -8, 69, 108, 80, 14, 4, 136, -4, 59, -72, -96, -156, 100, 112, 144, 96, -6, -114, 112, -156, 82, 130, -172, 16, 16, 28, 180, 272, -14, 312, 332, 16, 24, -96, 16, 152, 16, -42, -44, 384, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '2014.2.a.g', 'source_level': 2014, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '2014.2.a.g', 'target_level': 2014, 'twist_class_label': '2014.2.a.g', 'twist_class_level': 2014, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2364425
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 27021597797779422, 'p': 2}
-
id: 2364426
{'charpoly_factorization': [[[-10, 52, -61, -21, 50, 1, -13, 0, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 3}
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id: 2364427
{'charpoly_factorization': [[[-1, -2, 35, -80, 48, 17, -15, -1, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 5}
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id: 2364428
{'charpoly_factorization': [[[52, -236, -391, 84, 179, -6, -24, 0, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 7}
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id: 2364429
{'charpoly_factorization': [[[1087, -1323, -649, 770, 147, -129, -20, 6, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 11}
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id: 2364430
{'charpoly_factorization': [[[-1250, 2014, 4691, 2278, 13, -219, -32, 5, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 13}
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id: 2364431
{'charpoly_factorization': [[[7715, -14142, -314, 4639, 71, -472, -43, 9, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 17}
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id: 2364432
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 27021597797779422, 'p': 19}
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id: 2364433
{'charpoly_factorization': [[[-1225, -23212, -20184, 3679, 2555, -154, -97, 1, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 23}
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id: 2364434
{'charpoly_factorization': [[[79750, 79914, -2177, -18604, -5137, -53, 160, 23, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 29}
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id: 2364435
{'charpoly_factorization': [[[91843, 54251, -53175, -513, 4738, -322, -115, 6, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 31}
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id: 2364436
{'charpoly_factorization': [[[3940, 1088, -7507, -1442, 2297, -12, -119, -1, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 37}
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id: 2364437
{'charpoly_factorization': [[[-67790, 89942, -26863, -9550, 5393, -168, -153, 3, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 41}
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id: 2364438
{'charpoly_factorization': [[[-16415, 14329, 5256, -4469, -207, 405, -29, -9, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 43}
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id: 2364439
{'charpoly_factorization': [[[-290, -2714, -6977, -7450, -3573, -695, -6, 13, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 47}
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id: 2364440
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 27021597797779422, 'p': 53}
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id: 2364441
{'charpoly_factorization': [[[-293473, 355010, -118812, -4162, 7604, -539, -138, 9, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 59}
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id: 2364442
{'charpoly_factorization': [[[1108, 3972, -9803, 465, 2519, -44, -113, 0, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 61}
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id: 2364443
{'charpoly_factorization': [[[-84152, -53956, 269647, -112265, 6110, 2120, -197, -9, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 67}
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id: 2364444
{'charpoly_factorization': [[[-1298680, 505532, 359295, -56400, -30607, -2221, 208, 31, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 71}
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id: 2364445
{'charpoly_factorization': [[[119984, -51056, -292321, -83917, 22038, 1352, -301, -5, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 73}
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id: 2364446
{'charpoly_factorization': [[[-3087173, -601065, 825966, -123273, -11897, 3409, -83, -19, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 79}
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id: 2364447
{'charpoly_factorization': [[[-2009954, 3114818, -163901, -209548, 15263, 3414, -287, -11, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 83}
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id: 2364448
{'charpoly_factorization': [[[14035633, 8640192, 242235, -634626, -125408, -6265, 347, 41, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 89}
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id: 2364449
{'charpoly_factorization': [[[1027951, 2002020, 1067569, 115387, -36306, -6977, -159, 24, 1], 1]], 'hecke_orbit_code': 27021597797779422, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '2014.2.a.g', 'level': 2014, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 45264787
{'hecke_orbit_code': 27021597797779422, 'n': 1, 'trace_an': 8}
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id: 45264788
{'hecke_orbit_code': 27021597797779422, 'n': 2, 'trace_an': -8}
-
id: 45264789
{'hecke_orbit_code': 27021597797779422, 'n': 3, 'trace_an': 0}
-
id: 45264790
{'hecke_orbit_code': 27021597797779422, 'n': 4, 'trace_an': 8}
-
id: 45264791
{'hecke_orbit_code': 27021597797779422, 'n': 5, 'trace_an': 1}
-
id: 45264792
{'hecke_orbit_code': 27021597797779422, 'n': 6, 'trace_an': 0}
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id: 45264793
{'hecke_orbit_code': 27021597797779422, 'n': 7, 'trace_an': 0}
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id: 45264794
{'hecke_orbit_code': 27021597797779422, 'n': 8, 'trace_an': -8}
-
id: 45264795
{'hecke_orbit_code': 27021597797779422, 'n': 9, 'trace_an': 2}
-
id: 45264796
{'hecke_orbit_code': 27021597797779422, 'n': 10, 'trace_an': -1}
-
id: 45264797
{'hecke_orbit_code': 27021597797779422, 'n': 11, 'trace_an': -6}
-
id: 45264798
{'hecke_orbit_code': 27021597797779422, 'n': 12, 'trace_an': 0}
-
id: 45264799
{'hecke_orbit_code': 27021597797779422, 'n': 13, 'trace_an': -5}
-
id: 45264800
{'hecke_orbit_code': 27021597797779422, 'n': 14, 'trace_an': 0}
-
id: 45264801
{'hecke_orbit_code': 27021597797779422, 'n': 15, 'trace_an': 1}
-
id: 45264802
{'hecke_orbit_code': 27021597797779422, 'n': 16, 'trace_an': 8}
-
id: 45264803
{'hecke_orbit_code': 27021597797779422, 'n': 17, 'trace_an': -9}
-
id: 45264804
{'hecke_orbit_code': 27021597797779422, 'n': 18, 'trace_an': -2}
-
id: 45264805
{'hecke_orbit_code': 27021597797779422, 'n': 19, 'trace_an': -8}
-
id: 45264806
{'hecke_orbit_code': 27021597797779422, 'n': 20, 'trace_an': 1}
-
id: 45264807
{'hecke_orbit_code': 27021597797779422, 'n': 21, 'trace_an': -9}
-
id: 45264808
{'hecke_orbit_code': 27021597797779422, 'n': 22, 'trace_an': 6}
-
id: 45264809
{'hecke_orbit_code': 27021597797779422, 'n': 23, 'trace_an': -1}
-
id: 45264810
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