data:
- - Lhash: '1101415677505687243198573158009'
    a10:
    - 0
    - 0
    a2:
    - -1.4142135623730951
    - 0
    a3:
    - 0
    - 1.7320508075688772
    a4:
    - 2.0
    - 0
    a5:
    - 0
    - 0
    a6:
    - 0
    - -2.449489742783178
    a7:
    - 1.5788140895207694
    - 6.819629467260718
    a8:
    - -2.8284271247461903
    - 0
    a9:
    - -3.0
    - 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 28.61042775783118
    analytic_normalization:
      __RealLiteral__: 0
      data: '1.0'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 1.4142135623730951
          - 0
    - - 3
      - - - 1.0
          - 0
        - - 0
          - -1.7320508075688772
    - - 5
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 7
      - - - 1.0
          - 0
        - - -1.5788140895207694
          - -6.819629467260718
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    central_character: '1050.601'
    coefficient_field: CDF
    conductor: 1050
    conductor_radical: 210
    conjugate: '857645032467853595649323926850'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 1.4142135623730951
        - 0
    - - - 1.0
        - 0
      - - 0
        - -1.7320508075688772
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - -1.5788140895207694
        - -6.819629467260718
    - - - 1.0
        - 0
      - - 8.159645398410072
        - 0
      - - 121.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 14.606399484311634
      - - -169.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -5.814206934070593
      - - -289.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 33.77357749110363
      - - -361.0
        - 0
    - - - 1.0
        - 0
      - - -37.25755188514298
        - 0
      - - 529.0
        - 0
    - - - 1.0
        - 0
      - - -9.253045072210545
        - 0
      - - 841.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 19.255782220461345
      - - -961.0
        - 0
    - - - 1.0
        - 0
      - - -63.43504885190463
        - 0
      - - 1369.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -8.2587979020984
      - - -1681.0
        - 0
    - - - 1.0
        - 0
      - - 42.089324923896044
        - 0
      - - 1849.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -23.33795233822333
      - - -2209.0
        - 0
    - - - 1.0
        - 0
      - - -71.34968042172235
        - 0
      - - 2809.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -42.93497866769416
      - - -3481.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 34.2864066868949
      - - -3721.0
        - 0
    - - - 1.0
        - 0
      - - -4.998885547903991
        - 0
      - - 4489.0
        - 0
    - - - 1.0
        - 0
      - - 38.812005341743024
        - 0
      - - 5041.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 124.62942583410266
      - - -5329.0
        - 0
    - - - 1.0
        - 0
      - - -56.184166263674555
        - 0
      - - 6241.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -90.39796171489257
      - - -6889.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 16.228899130715437
      - - -7921.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -82.7605252932962
      - - -9409.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 87.20546222808694
      - - -10201.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -187.56739053821812
      - - -10609.0
        - 0
    - - - 1.0
        - 0
      - - -157.8576726252988
        - 0
      - - 11449.0
        - 0
    - - - 1.0
        - 0
      - - -112.07303861429182
        - 0
      - - 11881.0
        - 0
    - - - 1.0
        - 0
      - - 141.9874507639
        - 0
      - - 12769.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 23949886
    index: 25
    label: 2-1050-7.6-c2-0-25
    leading_term: '1.248738644562742568167400382049200863557163369411193108'
    load_key: CMFs-workshop
    motivic_weight: 2
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 2
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/1050/3/f/e/601/7
    plot_delta:
      __RealLiteral__: 0
      data: '0.05859375'
      prec: 34
    plot_values:
    - 1.2487386445627426
    - 1.254663740602169
    - 1.2445047491234718
    - 1.2186316730902353
    - 1.177496875241756
    - 1.1216469420091715
    - 1.0517383670121627
    - 0.9685559108471503
    - 0.8730323119458221
    - 0.7662679050467872
    - 0.6495486502846525
    - 0.5243610844260664
    - 0.3924027712551636
    - 0.2555869441323306
    - 0.11604019365805539
    - -0.023907749058192363
    - -0.1617428532517287
    - -0.29479471591544304
    - -0.42027375755953167
    - -0.535317568130809
    - -0.6370459699373794
    - -0.7226240395064728
    - -0.7893320014874602
    - -0.8346405822483544
    - -0.8562900971964374
    - -0.8523712537338614
    - -0.8214053917379064
    - -0.7624216667678004
    - -0.6750285193117671
    - -0.5594766775269694
    - -0.41671092156327616
    - -0.248407903872237
    - -0.056997479210695465
    - 0.15433474469948796
    - 0.38166556762259773
    - 0.6203745440719741
    - 0.8652074430945196
    - 1.110363111122667
    - 1.349603320847154
    - 1.5763844257453659
    - 1.7840088413229276
    - 1.9657935641624649
    - 2.1152521452669792
    - 2.226285783851488
    - 2.2933785319030875
    - 2.311791029035954
    - 2.277746751149164
    - 2.188604482882703
    - 2.043010637343958
    - 1.8410251670366948
    - 1.5842151516797378
    - 1.2757107191995836
    - 0.9202187554733325
    - 0.5239908778319698
    - 0.09474336949695489
    - -0.3584718294005865
    - -0.825444439001809
    - -1.2950291926955302
    - -1.7554112694310011
    - -2.1944081747583555
    - -2.5998008367897696
    - -2.9596852144111137
    - -3.2628344439760646
    - -3.4990605384071483
    - -3.6595639551540198
    - -3.7372590152864125
    - -3.7270632235148407
    - -3.626139034136777
    - -3.4340775424200425
    - -3.1530149504277887
    - -2.7876744394314543
    - -2.345328239085201
    - -1.8356771604914073
    - -1.2706475839911306
    - -0.6641087762702976
    - -0.03151635640874151
    - 0.6105093709148882
    - 1.2446587576777972
    - 1.853447907070038
    - 2.419757515266685
    - 2.9273778594054396
    - 3.3615413100026297
    - 3.70942337209045
    - 3.960593582259094
    - 4.107398633538535
    - 4.145261863996092
    - 4.072885696126669
    - 3.8923466909043984
    - 3.6090764921191028
    - 3.231725965823394
    - 2.77191414532954
    - 2.2438680142548804
    - 1.663963525431256
    - 1.0501823822815461
    - 0.4215028224621412
    - -0.20275422943812882
    - -0.803599886912022
    - -1.3630476356703105
    - -1.864753463802674
    - -2.2946004642597417
    - -2.641204130909043
    - -2.896317147129979
    - -3.0551160078645596
    - -3.116356208749234
    - -3.082387823793195
    - -2.9590288831597427
    - -2.755299831661078
    - -2.483028251494232
    - -2.1563387126638687
    - -1.7910478139360533
    - -1.403988949570008
    - -1.0122948588314824
    - -0.6326683968799475
    - -0.28067306191729785
    - 0.029925467554574328
    - 0.28773722225027376
    - 0.4842187642599878
    - 0.6140147984691879
    - 0.6751539025948023
    - 0.6690880817419252
    - 0.6005728650754274
    - 0.4773920005834921
    - 0.3099381338758053
    - 0.11066783174944388
    - -0.10654441128373329
    - -0.3271232859789163
    - -0.536547045097744
    - -0.7211028609116207
    - -0.8686061476024483
    - -0.969047880458059
    - -1.015136774040752
    - -1.0027077084347988
    - -0.930973843517079
    - -0.8026071816343018
    - -0.6236406028531459
    - -0.4031932195410673
    - -0.15302985282072487
    - 0.1130259242720464
    - 0.3797978491732267
    - 0.6315481086831455
    - 0.8528143819056146
    - 1.0292503383411313
    - 1.1484259564709778
    - 1.2005450565575129
    - 1.179040697189134
    - 1.0810144666089154
    - 0.9074929915244242
    - 0.6634838656247631
    - 0.3578232514671322
    - 0.002818141585526213
    - -0.3863028655285005
    - -0.7921059797972105
    - -1.1958020852176285
    - -1.5781883982060372
    - -1.920634331381664
    - -2.2060604130429304
    - -2.419858177189562
    - -2.5507007592895485
    - -2.5911984938164183
    - -2.5383609474953084
    - -2.3938362293435804
    - -2.1639096543436
    - -1.8592563479029853
    - -1.4944555219924376
    - -1.087287234798689
    - -0.6578447488980707
    - -0.22750643320352748
    - 0.18218012506549158
    - 0.5506430607873724
    - 0.8593984757042623
    - 1.0930685451037874
    - 1.240247744832691
    - 1.2941664464897098
    - 1.2531111135910225
    - 1.1205728427394772
    - 0.9051104063938259
    - 0.6199295169462219
    - 0.2821959069668727
    - -0.0878848741816076
    - -0.46817418839899483
    - -0.835835212339126
    - -1.1686290639306542
    - -1.446200154545599
    - -1.6512776689604642
    - -1.7707230927569089
    - -1.7963607861759447
    - -1.7255394548236849
    - -1.561386476608167
    - -1.3127336942988388
    - -0.9937115902867537
    - -0.6230277190481311
    - -0.22296381074507104
    - 0.18185700369305483
    - 0.5658668846898176
    - 0.9040368555311679
    - 1.1733633091372462
    - 1.3542712844813174
    - 1.4318510671376594
    - 1.3968523061017906
    - 1.2463720823190771
    - 0.9841896230212049
    - 0.6207197877154179
    - 0.17257900419513603
    - -0.3382202003177521
    - -0.8854078410014237
    - -1.4398696593669138
    - -1.971258751804372
    - -2.4497161165264623
    - -2.84760209877243
    - -3.141137783934385
    - -3.3118583375747326
    - -3.347789095045264
    - -3.2442694875100337
    - -3.0043689450888627
    - -2.638861727768771
    - -2.1657529359823724
    - -1.609374298787234
    - -0.9990941820355428
    - -0.36771004601837853
    - 0.2503881598426172
    - 0.8211797450175792
    - 1.3129866792986173
    - 1.6983421631783668
    - 1.955641792356511
    - 2.0704754775709775
    - 2.036555349962448
    - 1.8561773953783156
    - 1.5401812784427182
    - 1.107402214717618
    - 0.583639104698037
    - 0.00019263712709986154
    - -0.6079461066951206
    - -1.2041535462593183
    - -1.7523583319682607
    - -2.2192235331819696
    - -2.576194859018513
    - -2.8012893866807795
    - -2.880512910260137
    - -2.808814710963428
    - -2.5905151508615445
    - -2.2391724825544594
    - -1.7768888216917071
    - -1.2330893295390875
    - -0.6428412083304084
    - -0.04480808967001172
    - 0.5210410522797028
    - 1.0158327491600792
    - 1.4041554585776053
    - 1.656247646172201
    - 1.749872769441342
    - 1.6717639835963942
    - 1.4185464262543082
    - 0.9970759725399487
    - 0.42416852795504584
    - -0.2742689025179994
    - -1.0646572668426806
    - -1.9076322970027744
    positive_zeros:
    - '0.868863768381750448710895648199863'
    - '1.89131506436671914807147648219987'
    - '3.17652825376759235271583297886554'
    - '4.39741494714458217752159462065093'
    - '5.54721896378215602601832475818587'
    - '6.67361203338321319577779388979822'
    - '7.23724268212017451050999550083023'
    - '8.002668944848348010457321476936656'
    - '8.730909155024972759037991269890042'
    - '9.758541493860087183504567979194717'
    prelabel: 2-1050-7.6-c2-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.348871634076778
    root_angle: -0.07241622518868678
    root_number: 0.9742327810372454240841675210216248244385845422460516068 - 0.225544869931538484612485300920585279455524499707453314*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.036208112594343395'
      prec: 70
    spectral_label: c2-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.868863768381750448710895648200'
      prec: 107
    z2:
      __RealLiteral__: 0
      data: '1.89131506436671914807147648220'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.17652825376759235271583297887'
      prec: 103
- - algebraic: true
    analytic_conductor: 28.61042775783118
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    central_character: '7.6'
    conductor: 1050
    conductor_radical: 210
    degree: 2
    id: 23949886
    index: 25
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1050/3/f/e/601/7
    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: 2-1050-7.6-c2-0-25
    motivic_weight: 2
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 2
    order_of_vanishing: 0
    prelabel: 2-1050-7.6-c2-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.348871634076778
    root_angle: -0.03620811259434339
    self_dual: false
    spectral_label: c2-0
    z1:
      __RealLiteral__: 0
      data: '0.868863768381750448710895648200'
      prec: 107
- - Lhash: '1101415677505687243198573158009'
    Lhash_array:
    - '1101415677505687243198573158009'
    id: 24323117
    label: 2-1050-7.6-c2-0-25
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1050/3/f/e/601/7
label_cols:
- label
- label
- label
labels:
- 2-1050-7.6-c2-0-25
- 2-1050-7.6-c2-0-25
- 2-1050-7.6-c2-0-25
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-08T15:27:13.787139'