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'183.25159751336194053328108225273' - '184.11962504046091395117496752243' - '185.33436629433094599915180090924' - '186.12721932510841573455722333315' - '187.38604548934373936458923977408' - '187.92935354153527298734562126617' - '188.7370133472021175677845083251' - '190.178024210538479941192078845731' - '190.95076235434979002783515939501' - '191.51038943121235681795848396216' - '192.09654571407238101514011581340' - '193.48116950330649672805908498835' - '193.87221469509495702824464677833' - '194.71127546759253699397335031863' - '196.31507305680553254865566168010' - '197.3283217695770856355937345892' - '198.0869695585566547854604209619' - '198.79197110969640583272245349851' - '199.28644831789548559501123220049' prelabel: 1-37-37.29-r1-0 primitive: true rational: false root_analytic_conductor: 3.976202217401126 root_angle: 0.8435583715590922 root_number: -0.881637314992347705789702834257+0.471927584289246511980311342444*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.42177918578' prec: 44 spectral_label: r1-0 st_group: mu(12) symmetry_type: unitary types: - DIR values: - - 1 - 0.511763512393347267124436117761+0.154905384261690313389329572823*I z1: __RealLiteral__: 0 data: '2.85855265856' prec: 44 z2: __RealLiteral__: 0 data: '4.14251228258' prec: 44 z3: __RealLiteral__: 0 data: '7.22402228957' prec: 44 - - algebraic: true analytic_conductor: 3.976202217401126 bad_primes: - 37 central_character: '37.29' conductor: 37 conductor_radical: 37 degree: 1 id: 253 index: 0 instance_types: - DIR instance_urls: - Character/Dirichlet/37/29 is_instance_Artin: false is_instance_BMF: false is_instance_CMF: false is_instance_DIR: true 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: 1-37-37.29-r1-0-0 motivic_weight: 0 mu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 mu_real: - 1 nu_imag: [] nu_real_doubled: [] order_of_vanishing: 0 prelabel: 1-37-37.29-r1-0 primitive: true rational: false root_analytic_conductor: 3.976202217401126 root_angle: 0.4217791857795461 self_dual: false spectral_label: r1-0 z1: __RealLiteral__: 0 data: '2.85855265856' prec: 44 - - Lhash: dirichlet_L_37.29 Lhash_array: - dirichlet_L_37.29 id: 1781675 label: 1-37-37.29-r1-0-0 type: DIR url: Character/Dirichlet/37/29 label_cols: - label - label - label labels: - 1-37-37.29-r1-0-0 - 1-37-37.29-r1-0-0 - 1-37-37.29-r1-0-0 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-18T22:54:50.020831'