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  • lfunc_lfunctions • Show schema
    {'Lhash': '1641586654671430181559642415427,1853978713795230826881255191317,2595572335437381247625465286069,3077632170218498285778086068901,3291789999306091407048861032966,3654698785557762310680312575755,3768586198599430779911021773281,3954151085678459718219194485786,4030331233967814025422302290327,4558939942977367281097301599348,5029875782189183030325674812957,5269266009882996914623845562584', 'a10': 0, 'a2': -2, 'a3': -3, 'a4': 1, 'a5': 0, 'a6': 6, 'a7': 1, 'a8': 0, 'a9': 2, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.737807990985677e-05, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1]], [29, [1, 14, 71, 126, -769, -15428, -123395, -447412, -646729, 3073014, 50216951, 287156086, 594823321]]], 'bad_primes': [2, 29], 'central_character': '58.1', 'coefficient_field': '1.1.1.1', 'conductor': 1449225352009601191936, 'conductor_radical': 58, 'degree': 24, 'euler_factors': [[1, 2, 3, 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'13.34236243955626325862185173298027', '13.47313295606733456371548808575798', '13.61551359110241979374469391427420', '13.63239781869045746813992642049166', '13.76181712033674516475855588532908', '13.80880081826063560098985224233872', '14.14561189836495382902830381804533', '14.28550605011879413666191948013206', '14.41780360727538971274792358776514', '14.43362710956709640046237494933407', '14.54522558447414330623295673074819', '14.62280287628191765482244116298681', '14.71496146257308266435565361036808', '14.74709454999103112137187076040705', '14.85680511843847365626233446937193', '14.86146338082526352504848458476498', '15.01687231861016030508341883882360', '15.09727535894556795918395182625267', '15.12345588823903598461428319101428', '15.13088816902901066764033821741364', '15.28435142079124380073279522687763', '15.42405112315332765079705485417141', '15.44915212816745930905365453393118', '15.58908308883544098137437786872875', '15.76864140591131721085978036822971'], 'prelabel': '24-58e12-1.1-c1e12-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.6805382661712907, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e12-0', 'trace_hash': 948442161182743209, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.29498353440283692095818641178', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.46253132642499295750824365909', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.04754554209974826976360601438', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 9.737807990985677e-05, 'bad_primes': [2, 29], 'central_character': '1.1', 'conductor': 1449225352009601191936, 'conductor_radical': 58, 'degree': 24, 'dirichlet_coefficients': [1, -2, -3, 1, 0, 6, 1, 0, 2, 0, -2, -3, 1, -2, 0, 0, -12, -4, -6, 0, -3, 4, 35, 0, 2, -2, 12, 1, -14, 0, -8, 0, 6, 24, 0, 2, 31, 12, -3, 0, -30, 6, -5, -2, 0, -70, -33, 0, 26, -4, 36, 1, 13, -24, 0, 0, 18, 28, 38, 0, -5, 16, 2, 0, 0, -12, -7, -12, -105, 0, 3, 0, -22, -62, -6, -6, -2, 6, -60, 0, -12, 60, -39, -3, 0, 10, 42, 0, 39, 0, 1, 35, 24, 66, 0, 0, -19, -52, -4, 2], 'euler11': [1, 2, 18, 58, 473, 1478, 6842, 22138, 110657, 324810, 1351578, 3710512, 16741707, 40815632, 163540938, 432322110, 1620129137, 3565347038, 12121020362, 28802038738, 101391750713, 136760966078, 466873642818, 570623341222, 3138428376721], 'euler13': [1, -1, -18, 24, -146, 744, 3395, -13584, 25919, -213669, -37590, 3264394, -9363773, 42437122, -6352710, -469430793, 740272559, -5043644112, 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  • lfunc_instances • Show schema
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