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  • lfunc_lfunctions • Show schema
    {'Lhash': '2338585218299785947988100984769', 'a10': 1199123865600, 'a2': 4096, 'a3': 0, 'a4': 16777216, 'a5': 292754850, 'a6': 0, 'a7': 3580644032, 'a8': 68719476736, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 71.2794203914038, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '12.5', 'prec': 10}, 'bad_lfactors': [[2, [1, -4096]], [3, [1]]], 'bad_primes': [2, 3], 'central_character': '18.1', 'coefficient_field': '1.1.1.1', 'conductor': 18, 'conductor_radical': 6, 'degree': 2, 'euler_factors': [[1, -4096], [1], [1, -292754850, 298023223876953125], [1, -3580644032, 1341068619663964900807], [1, 15111573238212, 108347059433883722041830251], [1, -1221071681246, 7056410014866816666030739693], [1, 2518250853863682, 5770627412348402378939569991057], [1, 7992693407413060, 93076495688256089536609610280499], [1, -99645642629247624, 11045767571919545466173812409689943], [1, -2080672742244316890, 3630362123627258663193028251474330749], [1, 4937672075835729208, 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'prelabel': '2-18-1.1-c25-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 8.442714041787973, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c25-0', 'trace_hash': 1629978234865814652, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.84481845224444664544179333228', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.89602380884521572167507375049', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.54334726470719239072445583530', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 71.2794203914038, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 18, 'conductor_radical': 6, 'degree': 2, 'dirichlet_coefficients': [1, 4096, 0, 16777216, 292754850, 0, 3580644032, 68719476736, 0, 1199123865600, -15111573238212, 0, 1221071681246, 14666317955072, 0, 281474976710656, -2518250853863682, 0, -7992693407413060, 4911611353497600, 0, -61897003983716352, 99645642629247624, 0, -212317821678430625, 5001509606383616, 0, 60073238343974912, 2080672742244316890, 0, -4937672075835729208, 1152921504606846976, 0, -10314755497425641472, 1048250906491555200, 0, 19829154107621718182, -32738072196763893760, 0, 20117960103926169600, -224696060863159376442, 0, -72221008334482349884, -253530128317302177792, 0, 408148552209398267904, -189872435947262116992, 0, -1328247607980067683783, -869653797594851840000, 0, 20486183347747291136, 2645676034335389555874, 0, -4423986356616768328200, 246059984256921239552, 0, 8522435552232721981440, 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1002642123108883497568840, 275852727404510985186163978883510976421015681999], [1, 1558588706101147601425596, 948314321612795910252258014082399778603283811443], [1, 2181670205644666928498490, 5429379091346464071926631117581467947298444772249], [1, 440165308375605500117758, 46697470525437199259645027890776274462295771593057]], 'index': 9, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/18/26/a/d/1/1', 'ModularForm/GL2/Q/holomorphic/18/26/a/d'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-18-1.1-c25-0-9', 'motivic_weight': 25, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [25], 'order_of_vanishing': 1, 'prelabel': '2-18-1.1-c25-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 8.442714041787973, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c25-0', 'trace_hash': 1629978234865814652, 'z1': {'__RealLiteral__': 0, 'data': '1.84481845224444664544179333228', 'prec': 100}}
  • lfunc_instances • Show schema
    • id: 23109042
      {'Lhash': '2338585218299785947988100984769', 'Lhash_array': ['2338585218299785947988100984769'], 'factors': ['2-18-1.1-c25-0-9'], 'label': '2-18-1.1-c25-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/18/26/a/d'}
    • id: 24586237
      {'Lhash': '2338585218299785947988100984769', 'Lhash_array': ['2338585218299785947988100984769'], 'factors': ['2-18-1.1-c25-0-9'], 'label': '2-18-1.1-c25-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/18/26/a/d/1/1'}