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mf_newforms • Show schema
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{'Nk2': 3600, 'analytic_conductor': 13.275429751291638, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [225, 3, [101, 127], [1, 3]], 'cm_discs': [], 'conrey_index': 76, 'conrey_indexes': [76, 151], 'dim': 14, 'field_disc': -16252368208700560950816656057088, 'field_disc_factorization': [[-1, 1], [2, 8], [3, 7], [9851, 2], [546932377, 2]], 'field_poly': [82944, -345600, 1572480, 276096, 765088, -55412, 209529, -2346, 23232, -1800, 1605, -60, 48, -2, 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': [[2, [82944, 345600, 1572480, -276096, 765088, 55412, 209529, 2346, 23232, 1800, 1605, 60, 48, 2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073827127521, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 2916, 'hecke_ring_index_factorization': [[2, 2], [3, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '225.4.e.d', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.4.e.c', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{1}-\\beta _{2})q^{2}+(-\\beta _{7}+\\beta _{10})q^{3}+(-5+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.4.e', 'trace_display': [-2, 5, 0, 22], 'trace_hash': 1224599300903822703, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.094', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0], [-5, -1, 0, 0, 5, -1, 0, 0, 0, 0, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 2, -1, 0, 4, -1, 1, 0, 0, -1, 0, -1, 0, 0], [1, 0, 0, 0, 3, 0, 1, 0, 0, -1, 1, -1, 0, -1], [1, 0, 5, 1, -1, -1, 0, 0, 1, 2, 1, 1, 1, 0], [0, -2, 2, 1, 2, 0, 1, -1, 1, 0, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -4, 4, -1, 1, 1, 0, -1, 0, 0, 4, 1, -1, 0], [-27, -5, 7, 1, 11, -2, -1, 2, 2, 0, 1, -3, -2, 1], [17, -2, 0, -1, -15, 4, -1, 5, 1, 0, -5, 2, -1, 1], [-1, 5, 0, 0, 3, 2, -1, 8, 1, 0, -1, -1, -3, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 1, -1, 3, -43, -3, 0, 0, 0, 0, -9, 3, 0, -3], [23, 0, 2, -2, -2, 2, 0, 0, -4, -2, 5, 1, 1, 0], [12, 15, -8, 5, -13, -5, 3, 5, 3, -1, -3, -2, -5, 2], [41, 0, 0, 4, -2, 0, 0, 2, 2, 4, -1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 22, -20, 0, 11, 4, -1, 3, 6, 1, -1, 7, 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309024817, 0, 44235954, 160590810, -74597040, 64059678, -25965810, 17562210, 0, 17387382, -44588544, -14227458, 17562210]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [81270546705718272, -25921241556287616, 117092812833806688, -133752262646177216, 42605333749130392, -12904342916750307, 5773718546261598, -1600654919494992, 450465462773892, -67214635202751, 13978725434868, -1952416155384, 306116042626, -20061126179], [6327402188013363456, -301463508848655168, 6388403886706427424, 491208718137338632, 1586131414628791566, 37998719378207139, 151588269426690954, -3383981805395616, 9368850452619066, -222363901918173, 268246879929564, -8326481101332, 5266027591948, -102404815617], [938118109152615552, -4270983905386306656, -1212833497402579392, -2121139439941287256, 124169043517445147, -598583661371575587, 2094038662074018, -66938437996344372, 5089407312211947, -4675917826251741, 170511125461188, -140176351013994, 5818762419041, -2939472898789], [-635787846053180928, -222723185330538432, -115983070461996480, -165936793688224816, 20984698013263682, -65593542660998373, 910270480529994, -7944221758218888, 698418640709550, -580748709713133, 23331293206188, -17633627499780, 779547299216, -376371909409], [-2219955219834868224, -892022300705723328, -2145238309188398016, -778707659501376848, -61555351861332734, -335680001857235061, -10195262304644886, -44745022379815656, 3918866101337646, -3331612503988413, 135970911492204, -102520174110372, 4927484464048, -2181076654577], [11195219267384530176, -6169631611590721728, -183668611928570496, -5686723075246626928, 1490671867267205186, -1966226863777259031, 109604804548363134, -242569404337916136, 26970827811008886, -17408138167954983, 877253848876644, -529205531611572, 27262271328908, -11125627233907], [-58431888210024686592, 2991899986603603776, -41550122424390691968, 14667705367319757976, -13279044448233676862, 2937116288481702777, -1468061862699842178, 409898419101933312, -120236130709947162, 23469677549717961, -3676183472876748, 708621055239924, -84950703264836, 11877650203069], [-5611937348136089088, 21911114884721206464, 6376145950090485648, 8350630296877477364, 651972033637984532, 2231727202378458603, 150558623564004258, 231870377676786468, -6688144134683568, 16684323061922079, -253186185774972, 497974097019636, -13376805115054, 10816153989491], [417410590021475328, 8359273772802089856, 1788282092495597472, 4108101502247733656, -113322476812357012, 1067058783875184507, -1461629934510078, 115234819678132152, -7726553808712992, 7800333243205551, -261650594664228, 231881123650104, -8884383807886, 4781648360579], [2628421300154193408, -10880367775870837824, -3276489473268861168, -4954151404644206124, 237790480436560988, -1389846745001380923, -4637606288236578, -155209969115557788, 11570631006596688, -10927891151629839, 388609132067052, -327948078905676, 13573388130414, -6918798848131], [886710166405356096, -3854505110783586048, -624054241618503336, -1697223178136473988, 22865752810691806, -509264669362768371, -12717367496292066, -55147108409099916, 2948588561373066, -3918785337884283, 101188546669524, -117122204938752, 3909850857688, -2499552103127], [18411464369536291584, -81568948298929301952, -8960478010397626464, -38239197474743117352, 3043820790682361074, -10244344869797115879, 153162733189287006, -1124879785548229824, 87071930738269974, -77165444789888247, 2893374983742996, -2302859876077548, 95353418254572, -47810889109763]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 14, 'label': '225.4.e.d', 'level': 225, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 3600, 'analytic_conductor': 13.275429751291638, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [225, 3, [101, 127], [1, 3]], 'conrey_index': 76, 'cusp_dim': 168, 'dim': 108, 'eis_dim': 24, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274945016033, 'hecke_orbit_dims': [4, 4, 6, 14, 24, 24, 32], 'label': '225.4.e', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 192, 'mf_new_dim': 120, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 120, 'trace_bound': 2, 'trace_display': [-1, 5, 0, -5], 'traces': [108, -1, 5, -203, 0, -27, -5, 42, -75, 0, 12, -158, 13, 174, 0, -715, 302, -256, -146, 0, -69, 3, -159, 135, 0, -648, 308, 52, 69, 0, -81, 61, 1024, 85, 0, 2103, -236, -649, -711, 0, 678, -2184, 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162129, 48302, 0, -942234, 78313, -107022, -123243, 0, -491208, 16759, 316070, -178206, 0, -311756, 203246, -54172, -34182, 0, -123900, 305070, -208131, 418506, 0, 190464, 263115, 60446, 740190, 0, -41544, 244698, -231867, -95094, 0, -218838, -15485, -162478, -161484, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 182320
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '45.4.e.c', 'target_level': 45, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 182321
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '45.4.e.c', 'target_level': 45, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 182322
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '135.4.e.c', 'target_level': 135, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 182323
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '135.4.e.c', 'target_level': 135, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 182324
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.4.e.d', 'target_level': 225, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 182325
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.4.e.d', 'target_level': 225, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 182326
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 28, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.4.k.d', 'target_level': 225, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 182327
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 28, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.4.k.d', 'target_level': 225, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 182328
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '405.4.a.m', 'target_level': 405, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 182329
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '405.4.a.n', 'target_level': 405, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 182330
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2025.4.a.ba', 'target_level': 2025, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 182331
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '225.4.e.d', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2025.4.a.bb', 'target_level': 2025, 'twist_class_label': '45.4.e.c', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 539550
{'charpoly_factorization': [[[82944, 345600, 1572480, -276096, 765088, 55412, 209529, 2346, 23232, 1800, 1605, 60, 48, 2, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 2}
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id: 539551
{'charpoly_factorization': [[[10460353203, -1937102445, 57395628, -71744535, 25213923, -2375082, 604341, -255879, 22383, -3258, 1281, -135, 4, -5, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 3}
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id: 539552
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 13511073827127521, 'p': 5}
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id: 539553
{'charpoly_factorization': [[[44289515650153536, -14321748711984840, 5655616974259137, 57542558962824, 62451552323151, 61709413140, 434022816564, 3413942352, 1461885465, -17322102, 2392828, -17722, 2055, -22, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 7}
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id: 539554
{'charpoly_factorization': [[[400778168819002573824, 44734978819676275200, 5082891796639991808, 216115535379566976, 13563950692114048, 315068508925984, 23297215852080, 329465956368, 21293421600, 71847648, 12770472, 3450, 4695, -23, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 11}
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id: 539555
{'charpoly_factorization': [[[25355591779047683915776, 8669020966370623488, 88884006979445408768, -538982882689280512, 241925968853935104, -1446605974271360, 215947236199680, -2707406400096, 142384867056, -1643982560, 50496456, -567496, 12404, -96, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 13}
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id: 539556
{'charpoly_factorization': [[[60588009792, 7871650176, -2499369808, -27251020, 2125940, -9644, -161, 1], 2]], 'hecke_orbit_code': 13511073827127521, 'p': 17}
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id: 539557
{'charpoly_factorization': [[[-1377989598400, 1417080000, 6594215888, -224819660, 1854320, 15442, -279, 1], 2]], 'hecke_orbit_code': 13511073827127521, 'p': 19}
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id: 539558
{'charpoly_factorization': [[[16492064040447893564404644, 1297294622683828886915442, 71856752567068743672861, 2367549058684992856002, 62614269869644110591, 1149033162758693256, 19367731703642076, 247723014038814, 3471756235641, 34403622318, 388043784, 2373408, 23655, 96, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 23}
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id: 539559
{'charpoly_factorization': [[[147092045975998906691492676, 24845029732022560781695686, 3069847439534326921638705, 147766191110359490129448, 4870110429152510714377, 106594082276106934850, 1753414724622849018, 20545863494400336, 185122174160025, 1170181150422, 6102837090, 22765404, 103917, 296, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 29}
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id: 539560
{'charpoly_factorization': [[[869144738682146358916694016, -79343321964224067681509376, 7865753718648726098436096, -28817070573183358758912, 3705980338650749856768, 89965096132346664192, 2748362249456095680, 35571203666223840, 384563224426896, 2263096881120, 11670427048, 27085768, 129120, 244, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 31}
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id: 539561
{'charpoly_factorization': [[[83646911884544, -8022049775936, 196405787520, 585288704, -34349204, -86580, 404, 1], 2]], 'hecke_orbit_code': 13511073827127521, 'p': 37}
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id: 539562
{'charpoly_factorization': [[[2324961426481312827911143605921, 89022809726132485686374361339, 2352622573765039646931098076, 37320581393230301892520185, 468000810466881466304317, 4134827901743765535110, 32394710467710031533, 195629028544166349, 1238619957159897, 5672147616222, 26490814425, 55330257, 163560, 47, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 41}
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id: 539563
{'charpoly_factorization': [[[1765996851682227839035978387456, -195044535699833188217528150016, 19516440061200920328087455744, -232891244319621738941608960, 2929293249029621404917888, -16128287772990333680960, 139216417702888501968, -622363927683985152, 4550650455858360, -12133325057528, 51008034360, -96964870, 370523, -525, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 43}
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id: 539564
{'charpoly_factorization': [[[42317133148681533563906655930384, -1905322081829198942052058779828, 58353171155687214694297811745, -964312541274938472851018274, 11740186041087377206970719, -90884256048346305584026, 544508517716434244664, -2045769856729181634, 6920725850037813, -13250422245168, 49541602008, -60378672, 294687, 164, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 47}
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id: 539565
{'charpoly_factorization': [[[111107669935704192, 3313074698297664, -34008897116512, 39458567216, 279547832, -500516, -506, 1], 2]], 'hecke_orbit_code': 13511073827127521, 'p': 53}
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id: 539566
{'charpoly_factorization': [[[354800174261568797862844901594763264, 22741077445923730801719871122444288, 1466380369383668321277176851774464, -115673358490922602988457888768, 14504134295178589340709815296, 713259183239565129920512, 99592038620070650192448, 1846416539869569408, 342770598011740800, 30313113642288, 854694521436, 49463472, 1113537, 85, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 59}
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id: 539567
{'charpoly_factorization': [[[1496502124860671417263333374916, 235609905222817516756806040842, 28397963108696539106237983073, 1131609115540296307905008968, 31258165209537418334767437, 509065990955362463555150, 5985185616930641102862, 39257484337066466112, 184463781924514353, 366593922374366, 691370505846, 570469576, 1136657, 828, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 61}
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id: 539568
{'charpoly_factorization': [[[854113758907618378118300893149609, 20054659940275076957814261036201, 813534294104629770908959872030, -7486198519863543018242322447, 136042394310356230260890001, -265399937885225297532672, 3291753984265167506379, -5404054026164078151, 62372005435400169, -56748419322924, 316001383999, -450033643, 1282884, -1093, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 67}
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id: 539569
{'charpoly_factorization': [[[-329554038570193728, -2740127166757248, 99927513780416, 322939201712, -436205092, -1229012, 328, 1], 2]], 'hecke_orbit_code': 13511073827127521, 'p': 71}
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id: 539570
{'charpoly_factorization': [[[-82873748372160512, 2981349592535040, -20542100801024, -128439358016, 117820816, 1327444, 2085, 1], 2]], 'hecke_orbit_code': 13511073827127521, 'p': 73}
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id: 539571
{'charpoly_factorization': [[[261249873658337268548476065897396977664, -1480681706243769123500587518886846464, 11907567795679973179074449045323776, -10523962952129652854189187815424, 98565269207670744333673227264, 191954532441235455339531264, 1288988906676535079518464, 2211887519605742083200, 4435337990550031680, 4159621491470784, 5514963397072, 4366334440, 4436976, 2110, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 79}
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id: 539572
{'charpoly_factorization': [[[43883653078054637135712258879059101584, 451364896808039455647226367397835644, 3480871473276321465869744449338057, 14683886936256345006831410489112, 52997632596800900906780324115, 127252498016954021501645928, 325283119182546640887852, 602008723375374244752, 1285451921692225773, 1597155515630046, 2317651154820, 1540110294, 2384235, 1290, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 83}
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id: 539573
{'charpoly_factorization': [[[-324549934175069320950, 277911272642123745, 3417793050944628, -8680332870945, 6568870986, 788319, -3048, 1], 2]], 'hecke_orbit_code': 13511073827127521, 'p': 89}
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id: 539574
{'charpoly_factorization': [[[228287509847352182246072921671697900670976, 158496659537684615086745796627642843136, 1558259659943572923804141322511647744, -1311780911527112447753893007147008, 6693615158696761152187127724032, -5387575492353866978144872192, 14304220602859436769447360, -12483322670541789683904, 20950754851932887040, -13399734484792864, 13918795825268, -5874935548, 5497837, -1787, 1], 1]], 'hecke_orbit_code': 13511073827127521, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '225.4.e.d', 'level': 225, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
-
id: 141571000
{'hecke_orbit_code': 13511073827127521, 'n': 1, 'trace_an': 14}
-
id: 141571001
{'hecke_orbit_code': 13511073827127521, 'n': 2, 'trace_an': -2}
-
id: 141571002
{'hecke_orbit_code': 13511073827127521, 'n': 3, 'trace_an': 5}
-
id: 141571003
{'hecke_orbit_code': 13511073827127521, 'n': 4, 'trace_an': -36}
-
id: 141571004
{'hecke_orbit_code': 13511073827127521, 'n': 5, 'trace_an': 0}
-
id: 141571005
{'hecke_orbit_code': 13511073827127521, 'n': 6, 'trace_an': -31}
-
id: 141571006
{'hecke_orbit_code': 13511073827127521, 'n': 7, 'trace_an': 22}
-
id: 141571007
{'hecke_orbit_code': 13511073827127521, 'n': 8, 'trace_an': 36}
-
id: 141571008
{'hecke_orbit_code': 13511073827127521, 'n': 9, 'trace_an': 17}
-
id: 141571009
{'hecke_orbit_code': 13511073827127521, 'n': 10, 'trace_an': 0}
-
id: 141571010
{'hecke_orbit_code': 13511073827127521, 'n': 11, 'trace_an': 23}
-
id: 141571011
{'hecke_orbit_code': 13511073827127521, 'n': 12, 'trace_an': -287}
-
id: 141571012
{'hecke_orbit_code': 13511073827127521, 'n': 13, 'trace_an': 96}
-
id: 141571013
{'hecke_orbit_code': 13511073827127521, 'n': 14, 'trace_an': -21}
-
id: 141571014
{'hecke_orbit_code': 13511073827127521, 'n': 15, 'trace_an': 0}
-
id: 141571015
{'hecke_orbit_code': 13511073827127521, 'n': 16, 'trace_an': -324}
-
id: 141571016
{'hecke_orbit_code': 13511073827127521, 'n': 17, 'trace_an': 322}
-
id: 141571017
{'hecke_orbit_code': 13511073827127521, 'n': 18, 'trace_an': 89}
-
id: 141571018
{'hecke_orbit_code': 13511073827127521, 'n': 19, 'trace_an': 558}
-
id: 141571019
{'hecke_orbit_code': 13511073827127521, 'n': 20, 'trace_an': 0}
-
id: 141571020
{'hecke_orbit_code': 13511073827127521, 'n': 21, 'trace_an': 180}
-
id: 141571021
{'hecke_orbit_code': 13511073827127521, 'n': 22, 'trace_an': 311}
-
id: 141571022
{'hecke_orbit_code': 13511073827127521, 'n': 23, 'trace_an': -96}
-
id: 141571023
{'hecke_orbit_code': 13511073827127521, 'n': 24, 'trace_an': 48}
-
id: 141571024
{'hecke_orbit_code': 13511073827127521, 'n': 25, 'trace_an': 0}
-
id: 141571025
{'hecke_orbit_code': 13511073827127521, 'n': 26, 'trace_an': 716}
-
id: 141571026
{'hecke_orbit_code': 13511073827127521, 'n': 27, 'trace_an': 470}
-
id: 141571027
{'hecke_orbit_code': 13511073827127521, 'n': 28, 'trace_an': -674}
-
id: 141571028
{'hecke_orbit_code': 13511073827127521, 'n': 29, 'trace_an': -296}
-
id: 141571029
{'hecke_orbit_code': 13511073827127521, 'n': 30, 'trace_an': 0}
-
id: 141571030
{'hecke_orbit_code': 13511073827127521, 'n': 31, 'trace_an': -244}
-
id: 141571031
{'hecke_orbit_code': 13511073827127521, 'n': 32, 'trace_an': 314}
-
id: 141571032
{'hecke_orbit_code': 13511073827127521, 'n': 33, 'trace_an': 211}
-
id: 141571033
{'hecke_orbit_code': 13511073827127521, 'n': 34, 'trace_an': -125}
-
id: 141571034
{'hecke_orbit_code': 13511073827127521, 'n': 35, 'trace_an': 0}
-
id: 141571035
{'hecke_orbit_code': 13511073827127521, 'n': 36, 'trace_an': -2399}
-
id: 141571036
{'hecke_orbit_code': 13511073827127521, 'n': 37, 'trace_an': -808}
-
id: 141571037
{'hecke_orbit_code': 13511073827127521, 'n': 38, 'trace_an': -305}
-
id: 141571038
{'hecke_orbit_code': 13511073827127521, 'n': 39, 'trace_an': 634}
-
id: 141571039
{'hecke_orbit_code': 13511073827127521, 'n': 40, 'trace_an': 0}
-
id: 141571040
{'hecke_orbit_code': 13511073827127521, 'n': 41, 'trace_an': -47}
-
id: 141571041
{'hecke_orbit_code': 13511073827127521, 'n': 42, 'trace_an': -1941}
-
id: 141571042
{'hecke_orbit_code': 13511073827127521, 'n': 43, 'trace_an': 525}
-
id: 141571043
{'hecke_orbit_code': 13511073827127521, 'n': 44, 'trace_an': -110}
-
id: 141571044
{'hecke_orbit_code': 13511073827127521, 'n': 45, 'trace_an': 0}
-
id: 141571045
{'hecke_orbit_code': 13511073827127521, 'n': 46, 'trace_an': 1434}
-
id: 141571046
{'hecke_orbit_code': 13511073827127521, 'n': 47, 'trace_an': -164}
-
id: 141571047
{'hecke_orbit_code': 13511073827127521, 'n': 48, 'trace_an': -2051}
-
id: 141571048
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id: 141571986
{'hecke_orbit_code': 13511073827127521, 'n': 987, 'trace_an': 144900}
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id: 141571987
{'hecke_orbit_code': 13511073827127521, 'n': 988, 'trace_an': -18216}
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id: 141571988
{'hecke_orbit_code': 13511073827127521, 'n': 989, 'trace_an': 31836}
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id: 141571989
{'hecke_orbit_code': 13511073827127521, 'n': 990, 'trace_an': 0}
-
id: 141571990
{'hecke_orbit_code': 13511073827127521, 'n': 991, 'trace_an': -8624}
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id: 141571991
{'hecke_orbit_code': 13511073827127521, 'n': 992, 'trace_an': 161850}
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id: 141571992
{'hecke_orbit_code': 13511073827127521, 'n': 993, 'trace_an': -82500}
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id: 141571993
{'hecke_orbit_code': 13511073827127521, 'n': 994, 'trace_an': 94878}
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id: 141571994
{'hecke_orbit_code': 13511073827127521, 'n': 995, 'trace_an': 0}
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id: 141571995
{'hecke_orbit_code': 13511073827127521, 'n': 996, 'trace_an': 76275}
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id: 141571996
{'hecke_orbit_code': 13511073827127521, 'n': 997, 'trace_an': -116258}
-
id: 141571997
{'hecke_orbit_code': 13511073827127521, 'n': 998, 'trace_an': 52282}
-
id: 141571998
{'hecke_orbit_code': 13511073827127521, 'n': 999, 'trace_an': 53312}
-
id: 141571999
{'hecke_orbit_code': 13511073827127521, 'n': 1000, 'trace_an': 0}