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{'Nk2': 15288, 'analytic_conductor': 30.518823652533364, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [13, 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': [3822, 1, [2549, 3433, 1471], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 10304, 'field_disc_factorization': [[2, 6], [7, 1], [23, 1]], 'field_poly': [8, 8, -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': [[5, [-4, 12, 5, -6, 1]], [11, [-32, 48, -17, -2, 1]], [17, [316, 12, -53, -2, 1]], [29, [254, 108, -41, -6, 1]]], 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402083054, 'hecke_ring_generator_nbound': 29, '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': True, 'label': '3822.2.a.by', 'level': 3822, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '3822.2.a.bx', 'nf_label': '4.4.10304.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+(1+\\beta _{1})q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3822.2.a', 'trace_display': [-4, 4, 6, 0], 'trace_hash': 860308014185252285, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.783', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '39.084', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '620.417', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [4, -4, 4, 4, 6, -4, 0, -4, 4, -6, 2, 4, -4, 0, 6, 4, 2, -4, 2, 6, 0, -2, -2, -4, 6, 4, 4, 0, 6, -6, 0, -4, 2, -2, 0, 4, 6, -2, -4, -6, 16, 0, 18, 2, 6, 2, 16, 4, 0, -6, 2, -4, 8, -4, 2, 0, 2, -6, 16, 6, -2, 0, 0, 4, -6, -2, 12, 2, -2, 0, -8, -4, 6, -6, 6, 2, 0, 4, -24, 6, 4, -16, 28, 0, 38, -18, 6, -2, 28, -6, 0, -2, 0, -16, 22, -4, -4, 0, 2, 6, 20, -2, -14, 4, 0, -8, 16, 4, 18, -2, 6, 0, 8, -2, -18, 6, -4, -16, 0, -6, -6, 2, 16, 0, 30, 0, 20, -4, 18, 6, 10, 2, 0, -12, 6, -2, 30, 2, 0, 0, 16, 8, -2, 4, -26, -6, 0, 6, -20, -6, -6, -2, 2, 0, 16, -4, -38, 24, 8, -6, 0, -4, 8, 16, 2, -28, -22, 0, 4, -38, 2, 18, 4, -6, 0, 2, 16, -28, -12, 6, -28, 0, -2, 2, -10, 0, -38, 16, 0, -22, 14, 4, 48, 4, -6, 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mf_hecke_nf • Show schema
Hide schema
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[8, 8, -7, -2, 1], 'hecke_orbit_code': 225179981402083054, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [4, 1, 2, 0], [2, 7, 2, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-4, -1, 1, 0], [2, -6, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '3822.2.a.by', 'level': 3822, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, 1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, -1], [7, 1], [13, 1]], 5, 2], [[[2, 1], [3, 1], [7, 1], [13, 1]], 4, 3], [[[2, -1], [3, 1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 6], [[[2, 1], [3, -1], [7, -1], [13, -1]], 6, 5], [[[2, -1], [3, -1], [7, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, -1], [13, 1]], 6, 5], [[[2, -1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 4, 3], [[[2, 1], [3, 1], [7, 1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 5, 2]], 'ALdims': [4, 7, 6, 3, 5, 4, 6, 6, 5, 4, 6, 6, 4, 7, 6, 3], 'Nk2': 15288, 'analytic_conductor': 30.518823652533364, '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': [3822, 1, [2549, 3433, 1471], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 753, 'dim': 82, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17, 29], 'hecke_orbit_code': 33558254, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4], 'label': '3822.2.a', 'level': 3822, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 816, 'mf_new_dim': 82, 'num_forms': 53, 'plus_dim': 34, 'prim_orbit_index': 1, 'relative_dim': 82, 'sturm_bound': 1568, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [82, 0, 0, 82, -8, -2, 0, 0, 82, -4, -8, 0, -2, 0, -4, 82, -4, 0, 4, -8, 0, -16, -8, -2, 54, 0, 0, 0, -20, -8, -12, 0, 0, -16, 0, 82, 4, -12, 0, -4, 0, 0, -16, -8, -8, 8, 8, 0, 0, 0, 0, -2, -12, -2, 0, 0, 12, 0, -32, -4, 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-164, -4, 304, 24, -72, 0, 312, 88, -8, 88, 56, 68, 0, -16, -8, 40, 360, -20, -504, 0, -28, -144, 168, 64, 80, -120, 0, 136, 48, -72, 444, -244, -104, 0, -56, 288, 132, 140, -160, 176, 0, 2, 206, -432, -48, -136, -312, 0, 680, -8, -12, -52, 24, -32, 0, 192, -252, -12, -468, 16, 48, 0, 160, 240, -264, 0, 84, -16, 0, -324, -20, 96, 240, 32, 8, 0, 240, -32, -32, 308, -8, -36, 0, -124, 336, 32, -104, -152, -288, 0, -500, 0, 184, 16, -60, -28, 0, -88, 256, -96, 192, 112, 384, 0, 104, 56, -4, 256, 192, -136, 0, 400, -32, -8, -368, -240, -48, 0, -368, 4, -160, -48, -24, -28, 0, -120, 144, 240, 336, 20, 216, 0, -36, -348, 156, -48, -456, -10, 0, 176, 200, -8, -812, -96, -224, 0, 592, -16, -224, 82, -148, -32, 0, -72, -416, -44, 384, -112, 2, 0, 80, 16, 344, 144, 132, -92, 0, -20, -728, -32, 48, 8, 280, 0, 240, -188, 0, 8, -320, 128, 0, -24, -240, 40, -72, 4, 60, 0, 352, 12, 112, 88, -304, 0, 0, 432, -640, 4, -72, 48, -160, 0, -216, 168, -116, -80, -176, 8, 0, -12, -132, 88, -124, 136, 176, 0, 232, -144, -96, 292, -208, 0, 0, -32, -256, 16, -144, -124, -32, 0, 4, -96, 72, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1155160
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 51, 'source_is_minimal': True, 'source_label': '3822.2.a.by', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 50, 'target_is_minimal': True, 'target_label': '3822.2.a.bx', 'target_level': 3822, 'twist_class_label': '3822.2.a.bx', 'twist_class_level': 3822, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155161
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 51, 'source_is_minimal': True, 'source_label': '3822.2.a.by', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 51, 'target_is_minimal': True, 'target_label': '3822.2.a.by', 'target_level': 3822, 'twist_class_label': '3822.2.a.bx', 'twist_class_level': 3822, '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: 3379125
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 225179981402083054, 'p': 2}
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id: 3379126
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 225179981402083054, 'p': 3}
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id: 3379127
{'charpoly_factorization': [[[-4, 12, 5, -6, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 5}
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id: 3379128
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 225179981402083054, 'p': 7}
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id: 3379129
{'charpoly_factorization': [[[-32, 48, -17, -2, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 11}
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id: 3379130
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 225179981402083054, 'p': 13}
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id: 3379131
{'charpoly_factorization': [[[316, 12, -53, -2, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 17}
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id: 3379132
{'charpoly_factorization': [[[-164, 188, -51, -2, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 19}
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id: 3379133
{'charpoly_factorization': [[[392, -56, -47, 2, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 23}
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id: 3379134
{'charpoly_factorization': [[[254, 108, -41, -6, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 29}
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id: 3379135
{'charpoly_factorization': [[[-16, 80, -42, 0, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 31}
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id: 3379136
{'charpoly_factorization': [[[-94, 132, -35, -6, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 37}
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id: 3379137
{'charpoly_factorization': [[[16, -96, 70, -16, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 41}
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id: 3379138
{'charpoly_factorization': [[[-200, 80, 73, -18, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 43}
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id: 3379139
{'charpoly_factorization': [[[776, 456, 6, -16, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 47}
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id: 3379140
{'charpoly_factorization': [[[1600, 320, -66, -8, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 53}
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id: 3379141
{'charpoly_factorization': [[[16, 1024, -42, -16, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 59}
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id: 3379142
{'charpoly_factorization': [[[15748, -156, -269, 2, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 61}
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id: 3379143
{'charpoly_factorization': [[[-1252, 504, -16, -12, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 67}
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id: 3379144
{'charpoly_factorization': [[[-8, -24, -2, 8, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 71}
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id: 3379145
{'charpoly_factorization': [[[5116, 764, -227, -6, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 73}
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id: 3379146
{'charpoly_factorization': [[[-11912, -2568, 14, 24, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 79}
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id: 3379147
{'charpoly_factorization': [[[-512, -256, 196, -28, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 83}
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id: 3379148
{'charpoly_factorization': [[[700, -840, 256, -28, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 89}
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id: 3379149
{'charpoly_factorization': [[[5056, -96, -212, 4, 1], 1]], 'hecke_orbit_code': 225179981402083054, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '3822.2.a.by', 'level': 3822, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 277414000
{'hecke_orbit_code': 225179981402083054, 'n': 1, 'trace_an': 4}
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id: 277414001
{'hecke_orbit_code': 225179981402083054, 'n': 2, 'trace_an': -4}
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id: 277414002
{'hecke_orbit_code': 225179981402083054, 'n': 3, 'trace_an': 4}
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id: 277414003
{'hecke_orbit_code': 225179981402083054, 'n': 4, 'trace_an': 4}
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id: 277414004
{'hecke_orbit_code': 225179981402083054, 'n': 5, 'trace_an': 6}
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id: 277414005
{'hecke_orbit_code': 225179981402083054, 'n': 6, 'trace_an': -4}
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id: 277414006
{'hecke_orbit_code': 225179981402083054, 'n': 7, 'trace_an': 0}
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id: 277414007
{'hecke_orbit_code': 225179981402083054, 'n': 8, 'trace_an': -4}
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id: 277414008
{'hecke_orbit_code': 225179981402083054, 'n': 9, 'trace_an': 4}
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id: 277414009
{'hecke_orbit_code': 225179981402083054, 'n': 10, 'trace_an': -6}
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id: 277414010
{'hecke_orbit_code': 225179981402083054, 'n': 11, 'trace_an': 2}
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id: 277414011
{'hecke_orbit_code': 225179981402083054, 'n': 12, 'trace_an': 4}
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id: 277414012
{'hecke_orbit_code': 225179981402083054, 'n': 13, 'trace_an': -4}
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id: 277414013
{'hecke_orbit_code': 225179981402083054, 'n': 14, 'trace_an': 0}
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id: 277414014
{'hecke_orbit_code': 225179981402083054, 'n': 15, 'trace_an': 6}
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id: 277414015
{'hecke_orbit_code': 225179981402083054, 'n': 16, 'trace_an': 4}
-
id: 277414016
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