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{'Nk2': 11368, 'analytic_conductor': 22.693484254447885, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 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': [2842, 1, [1277, 785], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 369849, 'field_disc_factorization': [[3, 1], [113, 1], [1091, 1]], 'field_poly': [-1, 3, 3, -6, -1, 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, [-5, 2, 13, -5, -3, 1]], [5, [-21, 3, 31, -4, -5, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208337690, 'hecke_ring_generator_nbound': 5, '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': False, 'label': '2842.2.a.v', 'level': 2842, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 29], 'level_radical': 406, 'minimal_twist': '406.2.e.c', 'nf_label': '5.5.369849.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+(\\beta _{1}-\\beta _{3})q^{3}+q^{4}+(1-\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2842.2.a', 'trace_display': [-5, 3, 5, 0], 'trace_hash': 1744717722103572129, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.639', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.368', 'prec': 17}, {'__RealLiteral__': 0, 'data': '61.611', 'prec': 20}, {'__RealLiteral__': 0, 'data': '27.832', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1290.999', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [5, -5, 3, 5, 5, -3, 0, -5, 4, -5, 4, 3, 2, 0, 6, 5, 2, -4, 8, 5, 0, -4, -9, -3, 8, -2, 15, 0, 5, -6, -15, -5, 29, -2, 0, 4, -22, -8, 32, -5, 1, 0, 7, 4, -8, 9, 20, 3, 0, -8, -15, 2, 11, -15, -4, 0, 22, -5, 13, 6, -15, 15, 0, 5, -7, -29, 20, 2, 20, 0, -4, -4, 0, 22, 20, 8, 0, -32, 1, 5, 21, -1, 48, 0, -13, -7, 3, -4, -7, 8, 0, -9, -23, -20, 11, -3, 6, 0, 32, 8, 10, 15, 9, -2, 0, -11, -16, 15, 2, 4, -2, 0, 4, -22, 9, 5, 47, -13, 0, -6, 15, 15, 17, -15, 42, 0, -18, -5, -29, 7, 27, 29, 0, -20, -52, -2, 0, -20, 9, 0, -24, 4, 32, 4, 5, 0, 0, -22, -13, -20, -25, -8, -37, 0, -4, 32, 5, -1, 23, -5, 0, -21, 12, 1, -11, -48, 26, 0, 35, 13, 28, 7, 29, -3, 0, 4, -15, 7, 1, -8, -8, 0, -23, 9, 24, 23, -2, 20, 0, -11, -41, 3, -19, -6, 19, 0, 14, 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mf_hecke_nf • Show schema
Hide schema
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15, -3, 6], [0, 22, -14, -21, 4], [1, 1, -12, 12, 15], [21, 18, 14, 24, -4], [-9, 9, -18, -34, 2], [21, -9, -8, 9, 2], [-18, -5, 2, -18, 23], [-25, -16, -9, -19, 6], [-23, -23, 2, -18, 15], [-25, -9, -2, 6, -12], [23, 14, -7, 6, -4], [-9, -2, -8, -12, 12], [20, -23, -13, 11, -18], [-7, -10, 5, 17, 7], [54, -15, 8, 6, 1], [-13, -7, -27, -6, 12], [24, 11, 14, 16, -23], [-41, 14, 4, -39, 19], [17, -31, 22, 30, -8], [65, 2, 7, 11, -6], [0, 26, -9, -4, 6], [-10, -2, -21, 22, 0], [27, 11, 2, -34, -5], [-1, 18, 16, 13, -8], [16, -20, 3, 17, -13], [1, 6, -21, 16, 3], [27, -18, -21, 3, 17], [-34, 18, -8, -14, -6], [-7, 3, 19, -12, -12], [-18, 27, 21, 12, -3], [5, 18, -8, -38, 0], [11, -2, 18, 5, 5], [5, 4, 19, 19, 0], [-15, -28, 5, -22, 13], [16, 22, 7, 27, -10], [-1, 3, 3, -27, -12], [3, -9, 8, -12, -2], [20, 29, -12, -42, -4], [9, -7, -14, -13, 20], [11, 15, 8, 30, -14], [-28, 6, -24, -20, -2]], 'char_orbit_index': 1, 'field_poly': [-1, 3, 3, -6, -1, 1], 'hecke_orbit_code': 94575592208337690, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, 1, 1, 0, -1], [0, 6, 1, -1, 0], [10, 9, 7, 0, -6]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, -3, -6, 0, 1], [2, 3, -6, -1, 1], [4, -2, -7, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '2842.2.a.v', 'level': 2842, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[2, -1], [7, -1], [29, -1]], 16, 4], [[[2, 1], [7, -1], [29, 1]], 10, 5], [[[2, -1], [7, 1], [29, -1]], 7, 2], [[[2, 1], [7, -1], [29, -1]], 13, 4], [[[2, 1], [7, 1], [29, -1]], 11, 3], [[[2, -1], [7, -1], [29, 1]], 10, 4], [[[2, 1], [7, 1], [29, 1]], 15, 3], [[[2, -1], [7, 1], [29, 1]], 15, 4]], 'ALdims': [15, 11, 10, 13, 15, 7, 10, 16], 'Nk2': 11368, 'analytic_conductor': 22.693484254447885, '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': [2842, 1, [1277, 785], [1, 1]], 'conrey_index': 1, 'cusp_dim': 405, 'dim': 97, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33557274, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6], 'label': '2842.2.a', 'level': 2842, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 29], 'level_radical': 406, 'mf_dim': 436, 'mf_new_dim': 97, 'num_forms': 29, 'plus_dim': 45, 'prim_orbit_index': 1, 'relative_dim': 97, 'sturm_bound': 840, 'trace_bound': 11, 'trace_display': [-1, -4, 0, 0], 'traces': [97, -1, -4, 97, 0, -2, 0, -1, 95, 2, 0, -4, 4, 0, 0, 97, 2, 11, 16, 0, 0, 2, 4, -2, 105, 18, -4, 0, -3, 22, 0, -1, 14, -6, 0, 95, -46, -12, -24, 2, -18, 0, -32, 0, 14, 4, -16, -4, 0, 9, 4, 4, 8, -26, 8, 0, -8, -1, -56, 0, 42, 10, 0, 97, 42, 16, -20, 2, 20, 0, -8, 11, 38, 18, 48, 16, 0, 34, -8, 0, 97, 10, 8, 0, 56, 10, 0, 2, 6, 62, 0, 4, 50, 26, -24, -2, -2, 0, -60, 105, 14, -4, -24, 18, 0, 38, -48, -4, -32, 10, -16, 0, -14, -56, -20, -3, 38, -12, 0, 22, 175, 14, -68, 0, -42, 0, 0, -1, 14, 36, -40, 14, 0, -68, -144, -6, -50, -36, 16, 0, -54, 36, -32, 95, 4, -26, 0, -46, 28, -20, 4, -12, -10, 0, -132, -24, 38, 30, -40, 2, 0, -49, -72, -18, -150, -4, -24, 0, 137, 32, 88, -32, -10, 6, 0, 0, -116, -6, -68, 14, 52, 0, -28, 4, -60, 44, -52, -16, 0, 80, 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mf_twists_nf • Show schema
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id: 1006794
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2842.2.a.v', 'source_level': 2842, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '406.2.e.c', 'target_level': 406, 'twist_class_label': '406.2.e.c', 'twist_class_level': 406, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1006795
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2842.2.a.v', 'source_level': 2842, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2842.2.a.s', 'target_level': 2842, 'twist_class_label': '406.2.e.c', 'twist_class_level': 406, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1006796
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2842.2.a.v', 'source_level': 2842, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2842.2.a.v', 'target_level': 2842, 'twist_class_label': '406.2.e.c', 'twist_class_level': 406, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2875875
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 94575592208337690, 'p': 2}
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id: 2875876
{'charpoly_factorization': [[[-5, 2, 13, -5, -3, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 3}
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id: 2875877
{'charpoly_factorization': [[[-21, 3, 31, -4, -5, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 5}
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id: 2875878
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 94575592208337690, 'p': 7}
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id: 2875879
{'charpoly_factorization': [[[-21, 102, 76, -27, -4, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 11}
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id: 2875880
{'charpoly_factorization': [[[-875, 570, 83, -48, -2, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 13}
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id: 2875881
{'charpoly_factorization': [[[-21, 78, 16, -19, -2, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 17}
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id: 2875882
{'charpoly_factorization': [[[7, -22, 0, 17, -8, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 19}
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id: 2875883
{'charpoly_factorization': [[[-435, -768, -371, -25, 9, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 23}
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id: 2875884
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 94575592208337690, 'p': 29}
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id: 2875885
{'charpoly_factorization': [[[2083, -335, -369, 20, 15, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 31}
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id: 2875886
{'charpoly_factorization': [[[-37693, -16320, -1954, 49, 22, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 37}
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id: 2875887
{'charpoly_factorization': [[[213, 111, -119, -60, -1, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 41}
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id: 2875888
{'charpoly_factorization': [[[-10547, 1150, 809, -111, -7, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 43}
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id: 2875889
{'charpoly_factorization': [[[-2421, -1146, 412, 71, -20, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 47}
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id: 2875890
{'charpoly_factorization': [[[-3435, -198, 473, -29, -11, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 53}
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id: 2875891
{'charpoly_factorization': [[[-225, -750, 659, -31, -13, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 59}
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id: 2875892
{'charpoly_factorization': [[[1327, -5903, -3102, -178, 15, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 61}
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id: 2875893
{'charpoly_factorization': [[[-7193, -1974, 701, 54, -20, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 67}
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id: 2875894
{'charpoly_factorization': [[[-3675, 2256, -92, -91, 4, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 71}
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id: 2875895
{'charpoly_factorization': [[[24575, 6856, -312, -165, 0, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 73}
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id: 2875896
{'charpoly_factorization': [[[-5041, 7834, 473, -215, -1, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 79}
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id: 2875897
{'charpoly_factorization': [[[2349, 16029, -6163, 833, -48, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 83}
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id: 2875898
{'charpoly_factorization': [[[-4335, 3201, -226, -119, 7, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 89}
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id: 2875899
{'charpoly_factorization': [[[-10525, 2806, 552, -141, -6, 1], 1]], 'hecke_orbit_code': 94575592208337690, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '2842.2.a.v', 'level': 2842, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 251272000
{'hecke_orbit_code': 94575592208337690, 'n': 1, 'trace_an': 5}
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id: 251272001
{'hecke_orbit_code': 94575592208337690, 'n': 2, 'trace_an': -5}
-
id: 251272002
{'hecke_orbit_code': 94575592208337690, 'n': 3, 'trace_an': 3}
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id: 251272003
{'hecke_orbit_code': 94575592208337690, 'n': 4, 'trace_an': 5}
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id: 251272004
{'hecke_orbit_code': 94575592208337690, 'n': 5, 'trace_an': 5}
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id: 251272005
{'hecke_orbit_code': 94575592208337690, 'n': 6, 'trace_an': -3}
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id: 251272006
{'hecke_orbit_code': 94575592208337690, 'n': 7, 'trace_an': 0}
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id: 251272007
{'hecke_orbit_code': 94575592208337690, 'n': 8, 'trace_an': -5}
-
id: 251272008
{'hecke_orbit_code': 94575592208337690, 'n': 9, 'trace_an': 4}
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id: 251272009
{'hecke_orbit_code': 94575592208337690, 'n': 10, 'trace_an': -5}
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id: 251272010
{'hecke_orbit_code': 94575592208337690, 'n': 11, 'trace_an': 4}
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id: 251272011
{'hecke_orbit_code': 94575592208337690, 'n': 12, 'trace_an': 3}
-
id: 251272012
{'hecke_orbit_code': 94575592208337690, 'n': 13, 'trace_an': 2}
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id: 251272013
{'hecke_orbit_code': 94575592208337690, 'n': 14, 'trace_an': 0}
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id: 251272014
{'hecke_orbit_code': 94575592208337690, 'n': 15, 'trace_an': 6}
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id: 251272015
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