data:
- - Lhash: '1698140688429900940619799564084'
    a10:
    - 0
    - 0
    a2:
    - 0
    - 0
    a3:
    - -0.8660254037844386
    - -0.5
    a4:
    - 0
    - 0
    a5:
    - 0
    - 0
    a6:
    - 0
    - 0
    a7:
    - 0.8660254037844386
    - -0.5
    a8:
    - 0
    - 0
    a9:
    - -1.0
    - -1.7320508075688772
    accuracy: 100
    algebraic: true
    analytic_conductor: 10.380552262766455
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 5
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 13
      - - - 1.0
          - 0
        - - -3.4641016151377544
          - -1.0
    bad_primes:
    - 2
    - 5
    - 13
    central_character: '1300.1049'
    coefficient_field: CDF
    conductor: 1300
    conductor_radical: 130
    conjugate: '684261162411252065111142033997'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 0.8660254037844386
        - 0.5
      - - 1.5
        - 2.598076211353316
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - -0.8660254037844386
        - 0.5
      - - 3.5
        - -6.06217782649107
    - - - 1.0
        - 0
      - - 1.5
        - -2.598076211353316
      - - -5.5
        - -9.526279441628825
    - - - 1.0
        - 0
      - - -3.4641016151377544
        - -1.0
    - - - 1.0
        - 0
      - - -2.598076211353316
        - 1.5
      - - 8.5
        - -14.722431864335457
    - - - 1.0
        - 0
      - - 3.5
        - 6.06217782649107
      - - -9.5
        - 16.454482671904334
    - - - 1.0
        - 0
      - - -2.598076211353316
        - -1.5
      - - 11.5
        - 19.91858428704209
    - - - 1.0
        - 0
      - - -1.5
        - 2.598076211353316
      - - -14.5
        - -25.11473670974872
    - - - 1.0
        - 0
      - - 4.0
        - 0
      - - 31.0
        - 0
    - - - 1.0
        - 0
      - - 6.06217782649107
        - 3.5
      - - 18.5
        - 32.04293994002423
    - - - 1.0
        - 0
      - - -4.5
        - 7.794228634059948
      - - -20.5
        - -35.50704155516198
    - - - 1.0
        - 0
      - - -9.526279441628825
        - 5.5
      - - 21.5
        - -37.239092362730865
    - - - 1.0
        - 0
      - - 0
        - 0
      - - -47.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 6.0
      - - -53.0
        - 0
    - - - 1.0
        - 0
      - - 1.5
        - 2.598076211353316
      - - -29.5
        - 51.09549882328188
    - - - 1.0
        - 0
      - - 5.5
        - 9.526279441628825
      - - -30.5
        - 52.827549630850754
    - - - 1.0
        - 0
      - - 6.06217782649107
        - 3.5
      - - 33.5
        - 58.023702053557386
    - - - 1.0
        - 0
      - - -1.5
        - -2.598076211353316
      - - -35.5
        - 61.48780366869514
    - - - 1.0
        - 0
      - - 0
        - -2.0
      - - -73.0
        - 0
    - - - 1.0
        - 0
      - - 8.0
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 12.0
      - - -83.0
        - 0
    - - - 1.0
        - 0
      - - -7.5
        - 12.99038105676658
      - - -44.5
        - -77.07626093681505
    - - - 1.0
        - 0
      - - -6.06217782649107
        - 3.5
      - - 48.5
        - -84.00446416709055
    - - - 1.0
        - 0
      - - -4.5
        - 7.794228634059948
      - - -50.5
        - -87.4685657822283
    - - - 1.0
        - 0
      - - 0
        - -8.0
      - - -103.0
        - 0
    - - - 1.0
        - 0
      - - -7.794228634059948
        - -4.5
      - - 53.5
        - 92.66471820493493
    - - - 1.0
        - 0
      - - 2.0
        - 0
      - - 109.0
        - 0
    - - - 1.0
        - 0
      - - -7.794228634059948
        - 4.5
      - - 56.5
        - -97.86087062764156
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 23134224
    index: 14
    label: 2-1300-65.9-c1-0-14
    leading_term: '1.129721444289272572595041852434436529883900184744352922'
    load_key: CMFs-workshop
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/1300/2/bb/a/1049/1
    plot_delta:
      __RealLiteral__: 0
      data: '0.0625'
      prec: 20
    plot_values:
    - 1.1297214442892727
    - 1.2274743471074974
    - 1.3184327997560585
    - 1.4021628586697896
    - 1.4779354316499576
    - 1.544714754503724
    - 1.6011696935362674
    - 1.6457062891995937
    - 1.6765188290849373
    - 1.6916561473403957
    - 1.6890997007011213
    - 1.6668501083965708
    - 1.6230190995857674
    - 1.5559240610921317
    - 1.4641825476027857
    - 1.3468041838793772
    - 1.2032773679680537
    - 1.0336481108004334
    - 0.8385882639688118
    - 0.6194503364140779
    - 0.37830611954569726
    - 0.11796645859139906
    - -0.15802025292901165
    - -0.44539290585588615
    - -0.7392273740105824
    - -1.0340119707380315
    - -1.3237487836141915
    - -1.6020801289927211
    - -1.8624384075253249
    - -2.0982166305657093
    - -2.302955862399524
    - -2.4705448261258414
    - -2.5954259967108713
    - -2.672801700003976
    - -2.6988330980878734
    - -2.670824513904886
    - -2.5873853720856745
    - -2.4485621422320305
    - -2.2559330907794894
    - -2.012659392407403
    - -1.7234872235908505
    - -1.394696847084322
    - -1.0339963697022347
    - -0.6503597742082895
    - -0.2538109319514452
    - 0.14484247531638428
    - 0.5343189417189588
    - 0.9032086550877672
    - 1.240344135558637
    - 1.535183810783449
    - 1.778194930185568
    - 1.9612212592012759
    - 2.0778205649005366
    - 2.1235570699254964
    - 2.096234854123428
    - 1.996059639106513
    - 1.8257184884235553
    - 1.5903696529280393
    - 1.2975380140957617
    - 0.9569152240297147
    - 0.5800675782578207
    - 0.18005873064566463
    - -0.2290016054193764
    - -0.63246801508653
    - -1.0157104490579631
    - -1.364684853071314
    - -1.6665001874525889
    - -1.9099575556454849
    - -2.086037083164225
    - -2.188309215198295
    - -2.2132492573222153
    - -2.1604372419354014
    - -2.0326294803545055
    - -1.8356933187325375
    - -1.5784024644605397
    - -1.2720965508392281
    - -0.9302150856976928
    - -0.5677222812434268
    - -0.20044517097253697
    - 0.15564743044635726
    - 0.48519347462051304
    - 0.774179310893695
    - 1.010638739026581
    - 1.1852742647502457
    - 1.2919675417116254
    - 1.3281499310014528
    - 1.295009701237796
    - 1.1975194357696266
    - 1.044275430317947
    - 0.8471498984603169
    - 0.6207662346978203
    - 0.3818169513097129
    - 0.1482527185382265
    - -0.06162128800709234
    - -0.23009925187890273
    - -0.341031936542935
    - -0.3807382598987252
    - -0.33882252664617946
    - -0.20885148853831334
    - 0.011149197470623004
    - 0.318411772369573
    - 0.705379256861342
    - 1.1599057437962286
    - 1.6657028435677856
    - 2.2030179573604407
    - 2.7495171926682773
    - 3.2813337895215016
    - 3.7742325866548216
    - 4.2048329619732865
    - 4.551827375305839
    - 4.797130538983461
    - 4.926895599803921
    - 4.932338609593844
    - 4.810320871174079
    - 4.563650154673271
    - 4.201075779038696
    - 3.7369684688601494
    - 3.1906929118446747
    - 2.5856981433325115
    - 1.9483673063866405
    - 1.3066830173528063
    - 0.6887766043759529
    - 0.12143809134278095
    - -0.37133165129386697
    - -0.7696450883579083
    - -1.0588515959554907
    - -1.2303926031598547
    - -1.282333766304336
    - -1.2195365009815953
    - -1.053450761125924
    - -0.8015321754872595
    - -0.48630834183716676
    - -0.13413997825100238
    - 0.22625852108114458
    - 0.5654589644436112
    - 0.8550281680460312
    - 1.0692079145828013
    - 1.1864676406611434
    - 1.1908366085330715
    - 1.0729331953995034
    - 0.8306250261137716
    - 0.4692741641770678
    - 0.0015453466522631714
    - -0.5532190521958574
    - -1.1700275322148717
    - -1.8196167237959913
    - -2.4701004717574064
    - -3.088795832817042
    - -3.6441184971933467
    - -4.107433916849394
    - -4.454751098470515
    - -4.668153735703209
    - -4.736877808278093
    - -4.657965224573053
    - -4.436448384709012
    - -4.085049206250742
    - -3.623406438826414
    - -3.076875098971746
    - -2.4749696487858563
    - -1.849546277928177
    - -1.232837697497376
    - -0.6554649122609975
    - -0.14455362254799642
    - 0.2779221699739782
    - 0.5964599724992327
    - 0.8029232730279052
    - 0.8969487815431157
    - 0.8858360032405684
    - 0.7839227638093889
    - 0.6114847478843956
    - 0.39322963545090733
    - 0.1564847952134331
    - -0.07080029066688737
    - -0.26210128346089473
    - -0.39427488558124024
    - -0.4492864183686664
    - -0.41558567115465256
    - -0.2890299235815151
    - -0.07328277906889394
    - 0.2203472717593743
    - 0.5736261250055853
    - 0.9626295913384805
    - 1.3594165143116794
    - 1.7340284403767932
    - 2.056679505120244
    - 2.299983922943579
    - 2.4410625685088414
    - 2.463375283191197
    - 2.3581416338855994
    - 2.1252390254184075
    - 1.7735017171080827
    - 1.3203851723473337
    - 0.7910045306653558
    - 0.2166007687734941
    - -0.36746986465162296
    - -0.9240913573339335
    - -1.416928948243969
    - -1.812979287809752
    - -2.084948659201653
    - -2.21328628928131
    - -2.1877204557086256
    - -2.00817715782828
    - -1.6850025315941257
    - -1.2384581955298775
    - -0.6975100129279306
    - -0.09798172249592507
    - 0.5198081623632271
    - 1.1137683428347573
    - 1.642928857977968
    - 2.070304538552338
    - 2.365523252231589
    - 2.5070274188481707
    - 2.483684418235682
    - 2.295681107937183
    - 1.954627087692092
    - 1.4828471862671155
    - 0.9119019503940572
    - 0.2804314635123705
    - -0.3685315702241978
    - -0.9905927084981764
    - -1.5431559870093596
    - -1.9884862383757398
    - -2.296450164806523
    - -2.4467331903286818
    - -2.4303647709263076
    - -2.2504333930431906
    - -1.921930554255463
    - -1.470726429702238
    - -0.9317440400705282
    - -0.3464587689452829
    - 0.24009853333359935
    - 0.7826178678322768
    - 1.2388258241730004
    - 1.5725954343854807
    - 1.7566179132726711
    - 1.7744347717041962
    - 1.6216750668919504
    - 1.30640108662889
    - 0.8485322559436281
    - 0.27838652954275
    - -0.36555429015421054
    - -1.0394891775589554
    - -1.697538798026758
    - -2.2951375224921904
    - -2.7923184329411157
    - -3.1566401244768603
    - -3.365530552994377
    - -3.4078673096106615
    - -3.284672273144864
    - -3.008867169608238
    - -2.60410987266953
    - -2.10280358496118
    - -1.543436620595942
    - -0.9674640929844348
    - -0.4159800094624818
    - 0.07355405782631196
    - 0.4702610422448802
    positive_zeros:
    - '1.33959680066744382447069439719506'
    - '2.78971946111275467648817873811494'
    - '3.84004998829276107969003638542367'
    - '4.90976243768591211394641310508991'
    - '5.79306900546594112274890482786145'
    - '6.18484676600272839631296213836515'
    - '7.63945993262038558017452118044252'
    - '8.273156656691566090463133614657852'
    - '8.875187500964165111787003769419462'
    - '10.14483786014096906732266499352392'
    prelabel: 2-1300-65.9-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.221886444734894
    root_angle: 0.5272468545865002
    root_number: -0.0854940249174675702243920473622351001254099114432640103 + 0.9963386832314659427755577049879435245707185254796665122*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.2636234272932501'
      prec: 60
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.33959680066744382447069439720'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.78971946111275467648817873811'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.84004998829276107969003638542'
      prec: 103
- - algebraic: true
    analytic_conductor: 10.380552262766455
    bad_primes:
    - 2
    - 5
    - 13
    central_character: '65.9'
    conductor: 1300
    conductor_radical: 130
    degree: 2
    id: 23134224
    index: 14
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1300/2/bb/a/1049/1
    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: 2-1300-65.9-c1-0-14
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    order_of_vanishing: 0
    prelabel: 2-1300-65.9-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.221886444734894
    root_angle: 0.2636234272932501
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '1.33959680066744382447069439720'
      prec: 103
- - Lhash: '1698140688429900940619799564084'
    Lhash_array:
    - '1698140688429900940619799564084'
    id: 23501068
    label: 2-1300-65.9-c1-0-14
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1300/2/bb/a/1049/1
label_cols:
- label
- label
- label
labels:
- 2-1300-65.9-c1-0-14
- 2-1300-65.9-c1-0-14
- 2-1300-65.9-c1-0-14
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T14:59:31.931037'