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mf_newforms • Show schema
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{'Nk2': 450, 'analytic_conductor': 1.8606593355091978, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [18, 6, [11], [5]], 'cm_discs': [], 'conrey_index': 5, 'conrey_indexes': [5, 11], 'dim': 8, 'field_disc': 221456830464, 'field_disc_factorization': [[2, 12], [3, 4], [19, 2], [43, 2]], 'field_poly': [2307, -1548, 1900, -736, 449, -100, 38, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 206242316306, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1296, 'hecke_ring_index_factorization': [[2, 4], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '18.5.d.a', 'level': 18, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '18.5.d.a', 'nf_label': '8.0.221456830464.4', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta _{3}q^{2}+(2+\\beta _{1}-3\\beta _{2}-\\beta _{5})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '4.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '18.5.d', 'trace_display': [0, 6, 18, -26], 'trace_hash': 154125842677080492, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.527', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '231.786', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [2, 1, -3, 0, 0, -1, 0, 0], [8, 0, -8, 0, 0, 0, 0, 0], [0, -1, 4, -3, 2, -3, -1, 0], [4, -3, 4, -2, -1, 0, 1, 1], [2, 6, -9, 5, 0, 4, -1, -1], [0, -8, 0, -8, 0, 0, 0, 0], [-23, 6, 24, 23, -6, 2, 1, -1], [4, 2, -4, 4, -1, 8, 3, 1], [-122, -6, 67, -17, 12, -4, 1, -2], [-8, 8, -24, 0, -8, 0, 0, 0], [10, 17, -12, 33, -10, 15, -1, 6], [24, -12, 28, -6, 11, 0, -4, -3], [120, -51, 36, 3, -6, -3, -3, -6], [0, 0, -64, 0, 0, 0, 0, 0], [103, -13, -205, -26, 20, -25, 6, 7], [-128, 27, 156, 11, 3, -16, -2, 5], [7, 76, 1, -73, -11, -11, -3, 2], [16, 0, -8, -8, 0, -16, -8, -8], [180, -12, -243, -93, 4, 14, 3, -3], [72, 49, -64, 102, 22, -24, 4, -6], [114, 49, 86, 27, -32, 15, 13, 6], [64, -16, -32, 8, -8, 0, 0, 8], [-6, -330, 212, -177, 12, -12, -3, 3], [-68, 16, 140, 42, -37, 56, -15, -11], [-93, 189, -114, 189, 39, 18, -3, -9], [-48, 8, 8, -32, 32, 8, 0, -8], [-278, 36, 103, 133, -72, 62, 13, 31], [-444, 24, 36, -156, 33, -24, 3, 15], 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15383, 9587], [-411796, -115962, -24342, 151332, -3228, 50970, 18828, 5514], [-35802, -192282, 501271, -136323, 8760, -71604, 13521, 17901]], 'char_orbit_index': 4, 'field_poly': [2307, -1548, 1900, -736, 449, -100, 38, -4, 1], 'hecke_orbit_code': 206242316306, 'hecke_ring_character_values': [[11, [1, 0, -1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 4230, 1410, 4230, 4230, 4230, 4230, 4230], 'hecke_ring_inverse_denominators': [1, 18, 3, 18, 3, 18, 3, 18], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [10, -5, 0, -5, 1, 2, -1, 1], [-22, -2, 0, 0, 1, 1, 0, 0], [-242, 88, 60, 103, 4, -16, 11, -8], [177, 53, 18, 22, -16, -15, 2, 1], [3940, -821, -1392, -1250, -239, 122, -118, 97], [-1271, -894, -690, -505, 180, 194, -53, -16], [-56654, 3991, 19800, 12613, 5005, -934, 1061, -1367]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [-147099, 65748, -71959, 14939, -8755, 545, -286, -19], [3777, -7344, 3727, -2912, 655, -290, 28, -8], [146886, -67497, 78911, -21016, 10985, -1570, 419, -19], [-201981, 205212, -149926, 70091, -23380, 6665, -979, 179], [843, -73716, 18698, -40213, 5870, -5575, 407, -217], [78702, 188301, -129703, 122048, -36385, 14990, -1987, 467], [235632, 197916, 17587, 101998, -13595, 14350, -1157, 532]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '18.5.d.a', 'level': 18, 'maxp': 997, 'weight': 5}
-
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{'Nk2': 450, 'analytic_conductor': 1.8606593355091978, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [18, 6, [11], [5]], 'conrey_index': 5, 'cusp_dim': 20, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 206242316306, 'hecke_orbit_dims': [8], 'label': '18.5.d', 'level': 18, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 28, 'mf_new_dim': 8, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 4, 'sturm_bound': 15, 'trace_bound': 0, 'trace_display': [0, 6, 18, -26], 'traces': [8, 0, 6, 32, 18, 48, -26, 0, -78, 0, -720, -144, 10, 288, 1134, -256, 0, -384, 100, 144, 438, 336, 1278, 384, 794, 0, -1296, -416, -1854, -3456, -1478, 0, -3384, -96, 0, 1056, -32, 6768, 5274, 0, -36, 2592, -68, 0, 3402, 2112, 2214, -1536, 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mf_twists_nf • Show schema
Hide schema
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id: 13150
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '18.5.d.a', 'target_level': 18, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 5}
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id: 13151
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '18.5.d.a', 'target_level': 18, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 5}
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id: 13152
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '54.5.d.a', 'target_level': 54, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 13153
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '54.5.d.a', 'target_level': 54, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 5}
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id: 13154
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 17, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.5.q.b', 'target_level': 144, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 13155
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 17, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.5.q.b', 'target_level': 144, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 5}
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id: 13156
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '162.5.b.c', 'target_level': 162, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 5}
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id: 13157
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '162.5.b.c', 'target_level': 162, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 5}
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id: 13158
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 17, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.5.q.b', 'target_level': 432, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 13159
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 17, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.5.q.b', 'target_level': 432, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 5}
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id: 13160
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.5.e.e', 'target_level': 1296, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 5}
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id: 13161
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '18.5.d.a', 'source_level': 18, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.5.e.e', 'target_level': 1296, 'twist_class_label': '18.5.d.a', 'twist_class_level': 18, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 5}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 70725
{'charpoly_factorization': [[[64, 0, -8, 0, 1], 2]], 'hecke_orbit_code': 206242316306, 'p': 2}
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id: 70726
{'charpoly_factorization': [[[43046721, -3188646, 373977, 13122, 4212, 162, 57, -6, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 3}
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id: 70727
{'charpoly_factorization': [[[688747536, 382637520, 29052108, -23225940, 2423925, 28674, -1485, -18, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 5}
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id: 70728
{'charpoly_factorization': [[[81510250000, 32644070000, 12147759100, 385650620, 13775389, 144362, 3919, 26, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 7}
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id: 70729
{'charpoly_factorization': [[[53329388637075489, 432170876841408, -8812991200014, -80879202432, 1649585331, 31116960, 216018, 720, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 11}
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id: 70730
{'charpoly_factorization': [[[545232929614018816, 3463439346518912, 80776341305488, -358588902808, 5644506625, -8584954, 79699, -10, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 13}
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id: 70731
{'charpoly_factorization': [[[338461452495360000, 0, 263337855062400, 0, 45107989641, 0, 418950, 0, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 17}
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id: 70732
{'charpoly_factorization': [[[8154234820, 7119796, -295131, -50, 1], 2]], 'hecke_orbit_code': 206242316306, 'p': 19}
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id: 70733
{'charpoly_factorization': [[[4401445426196235264, 187703336053946880, 2650789924221600, -744832422000, -40142603943, 10639350, 536103, -1278, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 23}
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id: 70734
{'charpoly_factorization': [[[46434303619573292933904, -150983130911913037872, -21422228335546068, 601746588362700, 89084668725, -1592261550, 286947, 1854, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 29}
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id: 70735
{'charpoly_factorization': [[[529586508563242997530624, 1652669828189841723392, 4257989107311620224, 4958099697445088, 5611942624081, 2715210614, 3420475, 1478, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 31}
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id: 70736
{'charpoly_factorization': [[[-305304165104, 1727017024, -2344584, 16, 1], 2]], 'hecke_orbit_code': 206242316306, 'p': 37}
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id: 70737
{'charpoly_factorization': [[[8028134485184630961, -162376693414197588, 182075999657058, 18459527552280, 100233758043, -11595960, -321678, 36, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 41}
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id: 70738
{'charpoly_factorization': [[[22538644910922160821025, -204134668613013179740, 2287549817299602154, 3952772375310416, 8480662368643, 2520762320, 2926666, 68, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 43}
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id: 70739
{'charpoly_factorization': [[[16716379470700856707217664, 20862868100012335511424, -11067978360804494256, -24645575999518344, 15473327463801, 10693347678, -3195945, -2214, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 47}
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id: 70740
{'charpoly_factorization': [[[11013181207498567666630656, 0, 38869547762360254464, 0, 43396060925952, 0, 15974784, 0, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 53}
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id: 70741
{'charpoly_factorization': [[[6298562691482142041588351025, -11150739961008291013777020, 7428700220294222132562, -1502003636024827896, -232919502246693, 97366833432, 16961634, -9108, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 59}
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id: 70742
{'charpoly_factorization': [[[100582707869465853406309912576, -24794837338468586594427904, 17277392338232139667648, -88028039750083216, 1272333454509313, -1286317762, 55257427, 4478, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 61}
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id: 70743
{'charpoly_factorization': [[[782198777861942181591123025, 1272106863787812726085760, 2123304841391297851594, 331188077294029472, 317139450460699, -76359993568, 58256890, -7504, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 67}
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id: 70744
{'charpoly_factorization': [[[55174345819637725158271156224, 0, 17771827058680644753408, 0, 1918679530772880, 0, 78003288, 0, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 71}
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id: 70745
{'charpoly_factorization': [[[-13267734129308, 112608852772, -6789747, -10358, 1], 2]], 'hecke_orbit_code': 206242316306, 'p': 73}
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id: 70746
{'charpoly_factorization': [[[724906819714379197415614090000, 513165395684981342169218000, 297670152251534797207900, 56742378175749285140, 10434735730791661, 739283187170, 113653519, 6050, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 79}
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id: 70747
{'charpoly_factorization': [[[16227353835988096674258434304, -12544238246305619837575296, -699512280941333754288, 3039456345491946744, 699452461726713, -118338913602, -25965801, 3834, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 83}
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id: 70748
{'charpoly_factorization': [[[7481790837918148318986240000, 0, 34817003610429299097600, 0, 20422802794438656, 0, 295741440, 0, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 89}
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id: 70749
{'charpoly_factorization': [[[639064927989442224247277101201, -932017709542756346049871672, 1103404853570355689984794, -323044044963434641408, 65102589051990907, -7697526205696, 661888906, -31336, 1], 1]], 'hecke_orbit_code': 206242316306, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '18.5.d.a', 'level': 18, 'portrait': 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', 'weight': 5}
-
mf_hecke_traces • Show schema
Hide schema
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id: 26916000
{'hecke_orbit_code': 206242316306, 'n': 1, 'trace_an': 8}
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id: 26916001
{'hecke_orbit_code': 206242316306, 'n': 2, 'trace_an': 0}
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id: 26916002
{'hecke_orbit_code': 206242316306, 'n': 3, 'trace_an': 6}
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id: 26916003
{'hecke_orbit_code': 206242316306, 'n': 4, 'trace_an': 32}
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id: 26916004
{'hecke_orbit_code': 206242316306, 'n': 5, 'trace_an': 18}
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id: 26916005
{'hecke_orbit_code': 206242316306, 'n': 6, 'trace_an': 48}
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id: 26916006
{'hecke_orbit_code': 206242316306, 'n': 7, 'trace_an': -26}
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id: 26916007
{'hecke_orbit_code': 206242316306, 'n': 8, 'trace_an': 0}
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id: 26916008
{'hecke_orbit_code': 206242316306, 'n': 9, 'trace_an': -78}
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id: 26916009
{'hecke_orbit_code': 206242316306, 'n': 10, 'trace_an': 0}
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id: 26916010
{'hecke_orbit_code': 206242316306, 'n': 11, 'trace_an': -720}
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id: 26916011
{'hecke_orbit_code': 206242316306, 'n': 12, 'trace_an': -144}
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id: 26916012
{'hecke_orbit_code': 206242316306, 'n': 13, 'trace_an': 10}
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id: 26916013
{'hecke_orbit_code': 206242316306, 'n': 14, 'trace_an': 288}
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id: 26916014
{'hecke_orbit_code': 206242316306, 'n': 15, 'trace_an': 1134}
-
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