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{'Nk2': 13376, 'analytic_conductor': 26.70197443591616, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, 1], [19, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3344, 1, [2927, 837, 2433, 705], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 57500224, 'field_disc_factorization': [[2, 6], [557, 1], [1613, 1]], 'field_poly': [2, -18, 11, 12, -7, -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': [[3, [-1, -8, 0, 16, -2, -4, 1]], [5, [81, 88, -20, -46, -8, 4, 1]], [7, [178, -206, -65, 116, -23, -4, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090449680, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3344.2.a.y', 'level': 3344, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'minimal_twist': '1672.2.a.h', 'nf_label': '6.6.57500224.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{3}+(-1-\\beta _{4})q^{5}+(1-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3344.2.a', 'trace_display': [0, 4, -4, 4], 'trace_hash': 1488377511807903033, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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6, 9, -30], [-1, -7, 3, -14, 17, 5], [-2, -6, -12, 12, 12, -8], [4, -28, 13, -14, -7, 8], [-32, -4, -18, 14, 6, -16], [31, -11, 19, -16, -7, 9], [12, -4, 0, 8, 8, 6], [43, 2, 1, -12, 4, 2], [-11, -33, -3, 10, -5, -1], [4, 22, 7, -6, -5, 14], [-3, 9, 5, -6, 1, -11], [15, -7, -16, -5, 18, -9], [0, -2, -16, -2, 1, -4], [-5, -13, 21, 6, -5, 9], [23, 7, 10, -18, 18, 1], [40, -24, 4, 2, 4, 16], [6, 2, -8, 12, 10, 0], [-34, 0, -16, 12, -2, -14], [-36, -12, 8, -8, -8, -10], [-21, 23, -10, 4, 4, 7], [-55, 13, 2, 3, -10, -7], [16, -18, -10, -14, 22, 12], [-12, 12, -9, 6, 13, 16], [-37, 0, -5, 6, -4, 6]], 'char_orbit_index': 1, 'field_poly': [2, -18, 11, 12, -7, -2, 1], 'hecke_orbit_code': 108086391090449680, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [3, 0, 1, 0, 0, 0], [1, 4, 1, 1, 0, 0], [14, 2, 6, 2, 1, 0], [14, 20, 10, 9, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0], [2, -4, -1, 1, 0, 0], [0, 6, -4, -2, 1, 0], [-2, 10, 3, -7, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '3344.2.a.y', 'level': 3344, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[2, 1], [11, 1], [19, -1]], 15, 2], [[[2, -1], [11, -1], [19, -1]], 14, 4], [[[2, 1], [11, -1], [19, -1]], 7, 4], [[[2, 1], [11, -1], [19, 1]], 12, 3], [[[2, -1], [11, 1], [19, 1]], 14, 7], [[[2, 1], [11, 1], [19, 1]], 10, 2], [[[2, -1], [11, 1], [19, -1]], 9, 3], [[[2, -1], [11, -1], [19, 1]], 9, 3]], 'ALdims': [10, 15, 12, 7, 14, 9, 9, 14], 'Nk2': 13376, 'analytic_conductor': 26.70197443591616, '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': [3344, 1, [2927, 837, 2433, 705], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 469, 'dim': 90, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33557776, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 9], 'label': '3344.2.a', 'level': 3344, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'mf_dim': 492, 'mf_new_dim': 90, 'num_forms': 28, 'plus_dim': 35, 'prim_orbit_index': 1, 'relative_dim': 90, 'sturm_bound': 960, 'trace_bound': 7, 'trace_display': [0, 0, 4, 0], 'traces': [90, 0, 0, 0, 4, 0, 0, 0, 90, 0, -6, 0, 4, 0, -12, 0, -4, 0, 0, 0, 16, 0, 12, 0, 86, 0, 12, 0, 20, 0, 0, 0, 0, 0, 0, 0, 20, 0, 24, 0, -4, 0, 0, 0, 36, 0, 8, 0, 90, 0, 40, 0, 4, 0, 8, 0, 0, 0, 40, 0, 20, 0, 40, 0, -24, 0, 0, 0, 16, 0, 16, 0, -20, 0, -12, 0, 0, 0, 0, 0, 74, 0, 40, 0, 24, 0, 24, 0, -36, 0, 16, 0, -48, 0, 0, 0, -4, 0, -18, 0, -12, 0, -36, 0, 32, 0, 0, 0, 20, 0, 60, 0, 28, 0, 4, 0, -28, 0, 8, 0, 90, 0, 104, 0, 24, 0, 64, 0, 32, 0, -48, 0, 0, 0, 44, 0, -4, 0, 0, 0, -32, 0, 0, 0, -40, 0, 104, 0, 20, 0, -48, 0, 52, 0, 84, 0, 20, 0, 40, 0, 8, 0, 32, 0, 0, 0, 0, 0, 102, 0, 0, 0, -44, 0, 144, 0, 32, 0, -72, 0, 68, 0, 80, 0, 0, 0, -12, 0, -16, 0, 68, 0, 12, 0, 184, 0, -44, 0, -8, 0, -16, 0, 48, 0, 104, 0, 128, 0, 0, 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48, 0, 0, 0, 256, 0, 280, 0, 212, 0, 264, 0, -280, 0, 344, 0, -172, 0, -328, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1085676
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3344.2.a.y', 'source_level': 3344, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1672.2.a.h', 'target_level': 1672, 'twist_class_label': '1672.2.a.h', 'twist_class_level': 1672, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1085677
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '3344.2.a.y', 'source_level': 3344, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3344.2.a.y', 'target_level': 3344, 'twist_class_label': '1672.2.a.h', 'twist_class_level': 1672, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3133625
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 108086391090449680, 'p': 2}
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id: 3133626
{'charpoly_factorization': [[[-1, -8, 0, 16, -2, -4, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 3}
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id: 3133627
{'charpoly_factorization': [[[81, 88, -20, -46, -8, 4, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 5}
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id: 3133628
{'charpoly_factorization': [[[178, -206, -65, 116, -23, -4, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 7}
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id: 3133629
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 108086391090449680, 'p': 11}
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id: 3133630
{'charpoly_factorization': [[[-962, 430, 885, 90, -67, -2, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 13}
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id: 3133631
{'charpoly_factorization': [[[1184, 1248, -160, -224, -6, 10, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 17}
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id: 3133632
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 108086391090449680, 'p': 19}
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id: 3133633
{'charpoly_factorization': [[[-4304, -4960, -276, 460, 5, -14, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 23}
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id: 3133634
{'charpoly_factorization': [[[11038, -7694, 697, 426, -65, -6, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 29}
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id: 3133635
{'charpoly_factorization': [[[82899, 45620, 5074, -900, -156, 4, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 31}
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id: 3133636
{'charpoly_factorization': [[[-48848, 38848, 8864, -912, -195, 4, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 37}
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id: 3133637
{'charpoly_factorization': [[[-4160, 3216, 2571, -556, -97, 8, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 41}
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id: 3133638
{'charpoly_factorization': [[[61972, 9836, -9563, 766, 163, -26, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 43}
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id: 3133639
{'charpoly_factorization': [[[-32448, 45824, -17856, 2128, 64, -24, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 47}
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id: 3133640
{'charpoly_factorization': [[[-18176, 6016, 1872, -448, -72, 8, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 53}
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id: 3133641
{'charpoly_factorization': [[[-5200, -1312, 1844, 408, -111, -4, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 59}
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id: 3133642
{'charpoly_factorization': [[[-408608, 51328, 17872, -1320, -262, 6, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 61}
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id: 3133643
{'charpoly_factorization': [[[-96461, 68216, -4338, -3364, 660, -44, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 67}
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id: 3133644
{'charpoly_factorization': [[[2319, -8, -1456, 344, 42, -16, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 71}
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id: 3133645
{'charpoly_factorization': [[[-470656, -111552, 18128, 2912, -276, -12, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 73}
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id: 3133646
{'charpoly_factorization': [[[-13152, -11648, 5320, 176, -186, 6, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 79}
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id: 3133647
{'charpoly_factorization': [[[516266, -36794, -22501, 2732, 117, -28, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 83}
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id: 3133648
{'charpoly_factorization': [[[69376, 50688, 9152, -704, -239, 0, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 89}
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id: 3133649
{'charpoly_factorization': [[[144880, 99392, 17932, -300, -259, -4, 1], 1]], 'hecke_orbit_code': 108086391090449680, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '3344.2.a.y', 'level': 3344, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 257131000
{'hecke_orbit_code': 108086391090449680, 'n': 1, 'trace_an': 6}
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id: 257131001
{'hecke_orbit_code': 108086391090449680, 'n': 2, 'trace_an': 0}
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id: 257131002
{'hecke_orbit_code': 108086391090449680, 'n': 3, 'trace_an': 4}
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id: 257131003
{'hecke_orbit_code': 108086391090449680, 'n': 4, 'trace_an': 0}
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id: 257131004
{'hecke_orbit_code': 108086391090449680, 'n': 5, 'trace_an': -4}
-
id: 257131005
{'hecke_orbit_code': 108086391090449680, 'n': 6, 'trace_an': 0}
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id: 257131006
{'hecke_orbit_code': 108086391090449680, 'n': 7, 'trace_an': 4}
-
id: 257131007
{'hecke_orbit_code': 108086391090449680, 'n': 8, 'trace_an': 0}
-
id: 257131008
{'hecke_orbit_code': 108086391090449680, 'n': 9, 'trace_an': 2}
-
id: 257131009
{'hecke_orbit_code': 108086391090449680, 'n': 10, 'trace_an': 0}
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id: 257131010
{'hecke_orbit_code': 108086391090449680, 'n': 11, 'trace_an': -6}
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id: 257131011
{'hecke_orbit_code': 108086391090449680, 'n': 12, 'trace_an': 0}
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id: 257131012
{'hecke_orbit_code': 108086391090449680, 'n': 13, 'trace_an': 2}
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id: 257131013
{'hecke_orbit_code': 108086391090449680, 'n': 14, 'trace_an': 0}
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id: 257131014
{'hecke_orbit_code': 108086391090449680, 'n': 15, 'trace_an': 0}
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id: 257131015
{'hecke_orbit_code': 108086391090449680, 'n': 16, 'trace_an': 0}
-
id: 257131016
{'hecke_orbit_code': 108086391090449680, 'n': 17, 'trace_an': -10}
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id: 257131017
{'hecke_orbit_code': 108086391090449680, 'n': 18, 'trace_an': 0}
-
id: 257131018
{'hecke_orbit_code': 108086391090449680, 'n': 19, 'trace_an': 6}
-
id: 257131019
{'hecke_orbit_code': 108086391090449680, 'n': 20, 'trace_an': 0}
-
id: 257131020
{'hecke_orbit_code': 108086391090449680, 'n': 21, 'trace_an': 10}
-
id: 257131021
{'hecke_orbit_code': 108086391090449680, 'n': 22, 'trace_an': 0}
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id: 257131022
{'hecke_orbit_code': 108086391090449680, 'n': 23, 'trace_an': 14}
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id: 257131023
{'hecke_orbit_code': 108086391090449680, 'n': 24, 'trace_an': 0}
-
id: 257131024
{'hecke_orbit_code': 108086391090449680, 'n': 25, 'trace_an': 2}
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id: 257131025
{'hecke_orbit_code': 108086391090449680, 'n': 26, 'trace_an': 0}
-
id: 257131026
{'hecke_orbit_code': 108086391090449680, 'n': 27, 'trace_an': 16}
-
id: 257131027
{'hecke_orbit_code': 108086391090449680, 'n': 28, 'trace_an': 0}
-
id: 257131028
{'hecke_orbit_code': 108086391090449680, 'n': 29, 'trace_an': 6}
-
id: 257131029
{'hecke_orbit_code': 108086391090449680, 'n': 30, 'trace_an': 0}
-
id: 257131030
{'hecke_orbit_code': 108086391090449680, 'n': 31, 'trace_an': -4}
-
id: 257131031
{'hecke_orbit_code': 108086391090449680, 'n': 32, 'trace_an': 0}
-
id: 257131032
{'hecke_orbit_code': 108086391090449680, 'n': 33, 'trace_an': -4}
-
id: 257131033
{'hecke_orbit_code': 108086391090449680, 'n': 34, 'trace_an': 0}
-
id: 257131034
{'hecke_orbit_code': 108086391090449680, 'n': 35, 'trace_an': -2}
-
id: 257131035
{'hecke_orbit_code': 108086391090449680, 'n': 36, 'trace_an': 0}
-
id: 257131036
{'hecke_orbit_code': 108086391090449680, 'n': 37, 'trace_an': -4}
-
id: 257131037
{'hecke_orbit_code': 108086391090449680, 'n': 38, 'trace_an': 0}
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id: 257131998
{'hecke_orbit_code': 108086391090449680, 'n': 999, 'trace_an': -114}
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id: 257131999
{'hecke_orbit_code': 108086391090449680, 'n': 1000, 'trace_an': 0}