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'187.5787687898174421095663712216' - '188.20638512480008859777894675925' - '188.426933566184125028191753804646' - '189.44764885251993112345649213598' - '190.28926806509849605642229221351' - '191.13910483891173655724556338183' - '191.874359108467306915361547162389' - '192.38014699405884413438921394480' - '192.72123863038377724891422899202' - '193.50426559557966305713235986663' - '194.23872092576323611285955522217' - '194.5326618326744610021140672995' - '195.29233637509487402772739735729' - '195.9478285317070705769530395538' - '196.55547734937134327008312445421' - '197.52934882163962600060819476189' - '197.967494157089624552371669034339' - '198.945597791335944465798697856053' - '199.30857033113593541282442230399' prelabel: 1-475-475.56-r1-0 primitive: true rational: false root_analytic_conductor: 51.04583927744689 root_angle: 0.32 root_number: 0.535826794978996618271308767868+0.844327925502015078548558063967*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.16' prec: 14 spectral_label: r1-0 st_group: mu(10) symmetry_type: unitary types: - DIR values: - - 1 - 1.56200004448555521091312306498+0.0982727130489948244746732459643*I z1: __RealLiteral__: 0 data: '1.27756983397' prec: 44 z2: __RealLiteral__: 0 data: '2.44798078502' prec: 44 z3: __RealLiteral__: 0 data: '3.81707353514' prec: 44 - - algebraic: true analytic_conductor: 51.04583927744689 bad_primes: - 5 - 19 central_character: '475.56' conductor: 475 conductor_radical: 95 degree: 1 id: 41844 index: 0 instance_types: - DIR instance_urls: - Character/Dirichlet/475/56 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: 1-475-475.56-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: 1-475-475.56-r1-0 primitive: true rational: false root_analytic_conductor: 51.04583927744689 root_angle: 0.16 self_dual: false spectral_label: r1-0 z1: __RealLiteral__: 0 data: '1.27756983397' prec: 44 - - Lhash: dirichlet_L_475.56 Lhash_array: - dirichlet_L_475.56 id: 1823048 label: 1-475-475.56-r1-0-0 type: DIR url: Character/Dirichlet/475/56 label_cols: - label - label - label labels: - 1-475-475.56-r1-0-0 - 1-475-475.56-r1-0-0 - 1-475-475.56-r1-0-0 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-25T12:37:22.659411'