data:
- - Lhash: '375660177334580202035334538783'
    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: '2456741285322563388758924454117'
    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: 23851004
    index: 7
    label: 2-1050-7.6-c2-0-7
    leading_term: '1.3605685442731775963161148388256305975727674762826781503'
    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/601/14
    plot_delta:
      __RealLiteral__: 0
      data: '0.05859375'
      prec: 34
    plot_values:
    - 1.3605685442731776
    - 1.0899926424212922
    - 0.8185682168904396
    - 0.5478641601900361
    - 0.2794807926524052
    - 0.015072605441560609
    - -0.2436331677237935
    - -0.49482366916792514
    - -0.7365944794812356
    - -0.9669515647051997
    - -1.1838217098120893
    - -1.3850716885946994
    - -1.568536071760914
    - -1.7320532404076245
    - -1.8735088586916782
    - -1.9908857723151843
    - -2.08231904146338
    - -2.146154590209324
    - -2.1810097611165347
    - -2.1858339062280194
    - -2.159967026942477
    - -2.1031943993221285
    - -2.0157950926228536
    - -1.8985823120255516
    - -1.7529335762573623
    - -1.5808088809638987
    - -1.384755202148226
    - -1.1678959619713767
    - -0.9339044109790373
    - -0.6869602733467016
    - -0.4316894494570575
    - -0.17308706481489763
    - 0.083575314933473
    - 0.33285692975213255
    - 0.5692675984878018
    - 0.7873975373480704
    - 0.9820542226475295
    - 1.1484028290466624
    - 1.2821063781028552
    - 1.3794614271687429
    - 1.4375249344310836
    - 1.4542278689878494
    - 1.428471209148985
    - 1.360200197665179
    - 1.2504531048423404
    - 1.1013812897933706
    - 0.9162380410086938
    - 0.6993345085387281
    - 0.4559619937376732
    - 0.19228091499616937
    - -0.08482211026888595
    - -0.36790647048289316
    - -0.6491753022086161
    - -0.9206939139371453
    - -1.174623018758834
    - -1.4034600204303254
    - -1.6002808908505115
    - -1.7589746861208948
    - -1.8744625074318273
    - -1.9428927493861903
    - -1.9618048109599246
    - -1.9302540820835032
    - -1.8488919596883213
    - -1.719995876964099
    - -1.5474458221835843
    - -1.3366455402179438
    - -1.0943885006176204
    - -0.8286707202006638
    - -0.5484545759620235
    - -0.2633897595922849
    - 0.01650057231233715
    - 0.28115868954336004
    - 0.5208450228477411
    - 0.7264924550670079
    - 0.8900492052405944
    - 1.0047971289926154
    - 1.0656325461264056
    - 1.069297513444413
    - 1.0145507861157597
    - 0.9022695317308618
    - 0.735475132879431
    - 0.5192790704980856
    - 0.26074783501625254
    - -0.031311038696296485
    - -0.34663649215447445
    - -0.6738665287269079
    - -1.0009443903427404
    - -1.3155641929567656
    - -1.605639681438101
    - -1.85977812717854
    - -2.067740423498443
    - -2.220868211456529
    - -2.312459440677399
    - -2.33807515330437
    - -2.295762456760917
    - -2.186181569536253
    - -2.012628395074159
    - -1.7809481797583093
    - -1.4993402895066221
    - -1.1780588180857372
    - -0.8290184228757906
    - -0.4653192636640151
    - -0.10070898837203832
    - 0.2509968348898489
    - 0.5765117816593642
    - 0.8636673695815984
    - 1.1019672042505833
    - 1.283080616545521
    - 1.401251655210572
    - 1.45360218433737
    - 1.440311810753136
    - 1.36466230003821
    - 1.2329398499356066
    - 1.0541948490207058
    - 0.8398652925144489
    - 0.6032765654925041
    - 0.3590365318620291
    - 0.12235048040001374
    - -0.09171481394502731
    - -0.26898511650178236
    - -0.39691589884389816
    - -0.46527709639181036
    - -0.46675095972595176
    - -0.39741122523975303
    - -0.2570561729812954
    - -0.04937396536363139
    - 0.21807424272642334
    - 0.5340598476111615
    - 0.8840786920053457
    - 1.2509180297332878
    - 1.6153784670628104
    - 1.957122577164168
    - 2.255614695718072
    - 2.4911106299033885
    - 2.645651988706505
    - 2.704017837655247
    - 2.654586576303117
    - 2.490063412479371
    - 2.208033535214451
    - 1.8113079280195494
    - 1.3080374655299423
    - 0.7115811468361007
    - 0.04012559651665533
    - -0.6839352028510821
    - -1.4348391553616024
    - -2.1844822419828462
    - -2.9035895470243367
    - -3.5629806361908285
    - -4.134872603175998
    - -4.594160464017366
    - -4.919613770586279
    - -5.09493047343047
    - -5.1095941820348445
    - -4.959488890170677
    - -4.647235651019414
    - -4.1822281599286875
    - -3.5803581715119677
    - -2.863436487229751
    - -2.0583301802938605
    - -1.195851028184974
    - -0.3094430592732756
    - 0.566272003763326
    - 1.3970244126995905
    - 2.1504291317544446
    - 2.7974480461442637
    - 3.3137101515481966
    - 3.6806239916839187
    - 3.8862258087032777
    - 3.9257191170676693
    - 3.8016761439375784
    - 3.5238880909712664
    - 3.1088686453669636
    - 2.5790327126411614
    - 1.9615890453067344
    - 1.287200408620583
    - 0.5884773368406705
    - -0.10161931137643007
    - -0.7513864352718376
    - -1.3319156462199324
    - -1.8184804125919214
    - -2.1917019916237983
    - -2.4384338925570157
    - -2.5523190934385296
    - -2.5339913100966145
    - -2.390910401566538
    - -2.1368414928153494
    - -1.7910065468819505
    - -1.3769548687532434
    - -0.9212143761718904
    - -0.45179754855042054
    - 0.0033559466200259735
    - 0.4179143485564332
    - 0.7685821558434973
    - 1.0363431409412298
    - 1.2074497477370045
    - 1.274104823123301
    - 1.234799006580609
    - 1.094286656646943
    - 0.8632038287946576
    - 0.5573523560167942
    - 0.1966933307048374
    - -0.19588988801113774
    - -0.5959856195525692
    - -0.979122086579471
    - -1.322222920109044
    - -1.6049637471429103
    - -1.810949591025945
    - -1.928643564174678
    - -1.9519923044752792
    - -1.880711939274363
    - -1.7202189783549442
    - -1.481212210123344
    - -1.178933092669081
    - -0.8321519799179314
    - -0.46194456695646713
    - -0.09033609690188271
    - 0.26110071209318736
    - 0.572604962151696
    - 0.8274575071096351
    - 1.013002884888879
    - 1.1213976111522777
    - 1.1500364759755417
    - 1.1016290117770169
    - 0.983920809766854
    - 0.8090774446866976
    - 0.592770954523215
    - 0.35302867611541505
    - 0.10892044615825693
    - -0.1208283625802652
    - -0.31920460540865264
    - -0.472162710903078
    - -0.5696806655011695
    - -0.6065418038870883
    - -0.5827848235648944
    - -0.5037858035707353
    - -0.3799601552239895
    - -0.22609783474853354
    - -0.0603701567434795
    - 0.09693049263137717
    - 0.22483739164411268
    - 0.3032476286358775
    - 0.31444825379942093
    - 0.24452538240319416
    - 0.08455651871827521
    - -0.16850152245105812
    - -0.5112984719307816
    - -0.9339962917703242
    - -1.4206137681968962
    - -1.9498001674210872
    - -2.4959991109874347
    - -3.0309366757794636
    - -3.525344268400099
    - -3.950808714643424
    - -4.281630579248857
    - -4.4965679165383445
    - -4.580346894764267
    - -4.5248329584782505
    positive_zeros:
    - '0.29634362754764275998668253145905'
    - '1.85579593192500491104401919014867'
    - '2.91195914652740602728697228910820'
    - '4.09803891980171431983522324301174'
    - '4.85725194752407330075475102115411'
    - '5.99302538150008474094884922098896'
    - '6.88793713887072282348245377340893'
    - '7.33602087452560147530225100724832'
    - '8.323655476974638286462001455286898'
    - '9.395504453898209785634169808623646'
    prelabel: 2-1050-7.6-c2-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.348871634076778
    root_angle: -0.9275837748113132
    root_number: -0.97423278103724542408416752102162482443858454224605160674 - 0.2255448699315384846124853009205852794555244997074533136*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.46379188740565663'
      prec: 67
    spectral_label: c2-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.29634362754764275998668253146'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.85579593192500491104401919015'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.91195914652740602728697228911'
      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: 23851004
    index: 7
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1050/3/f/e/601/14
    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-c2-0-7
    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: -0.4637918874056566
    self_dual: false
    spectral_label: c2-0
    z1:
      __RealLiteral__: 0
      data: '0.29634362754764275998668253146'
      prec: 103
- - Lhash: '375660177334580202035334538783'
    Lhash_array:
    - '375660177334580202035334538783'
    id: 24222286
    label: 2-1050-7.6-c2-0-7
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1050/3/f/e/601/14
label_cols:
- label
- label
- label
labels:
- 2-1050-7.6-c2-0-7
- 2-1050-7.6-c2-0-7
- 2-1050-7.6-c2-0-7
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T06:29:06.828298'