data: - - Lhash: '2442883943193858143448837224402' a10: - 1.3839016636201054 - 4.834281710348611 a2: - -0.9828437041394504 - 1.0168668807830474 a3: - -0.9875273925208216 - 1.4229510353561106 a4: - -0.06803650646688886 - -1.9988424234510787 a5: - 1.7778309631957978 - -3.0792935555242367 a6: - -0.4763667004252388 - -2.40272236571893 a7: - 0.7934555116166296 - -2.523970750837892 a8: - 2.09942591234415 - 1.8953656213453731 a9: - -1.0495792980420544 - -2.8104062512600465 accuracy: 100 algebraic: true analytic_conductor: 1.341486753957511 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0.9828437041394504 - -1.0168668807830474 - - 3 - - - 1.0 - 0 - - 0.9875273925208216 - -1.4229510353561106 - - 7 - - - 1.0 - 0 - - -0.7934555116166296 - 2.523970750837892 bad_primes: - 2 - 3 - 7 central_character: '168.107' coefficient_field: CDF conductor: 168 conductor_radical: 42 conjugate: '1382478075716524624587305861914' degree: 2 euler_factors: - - - 1.0 - 0 - - 0.9828437041394504 - -1.0168668807830474 - - - 1.0 - 0 - - 0.9875273925208216 - -1.4229510353561106 - - - 1.0 - 0 - - -1.7778309631957978 - 3.0792935555242367 - - -2.5 - -4.330127018922194 - - - 1.0 - 0 - - -0.7934555116166296 - 2.523970750837892 - - - 1.0 - 0 - - 0.3967026488949314 - -0.22903638112772623 - - 5.5 - -9.526279441628825 - - - 1.0 - 0 - - 0 - -0.79906257797122 - - -13.0 - 0 - - - 1.0 - 0 - - -5.484564095672012 - 3.166514557023993 - - 8.5 - -14.722431864335457 - - - 1.0 - 0 - - 2.6169643950018573 - -4.5327152937419655 - - -9.5 - -16.454482671904334 - - - 1.0 - 0 - - -1.5505269109506248 - 2.685591388269306 - - -11.5 - -19.91858428704209 - - - 1.0 - 0 - - 2.603403339832526 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - -4.425201613655444 - 2.554891342862337 - - 15.5 - -26.846787517317598 - - - 1.0 - 0 - - 2.894241338447571 - 1.670991015852448 - - 18.5 - 32.04293994002423 - - - 1.0 - 0 - - 0 - -10.145168902169031 - - -41.0 - 0 - - - 1.0 - 0 - - -3.563587277713548 - 0 - - 43.0 - 0 - - - 1.0 - 0 - - 2.159227815420027 - -3.7398922814234403 - - -23.5 - -40.703193977868615 - - - 1.0 - 0 - - -1.1691300587263955 - -2.0249926623701024 - - -26.5 - 45.89934640057525 - - - 1.0 - 0 - - 1.4974056177917183 - -0.8645275365181064 - - 29.5 - -51.09549882328188 - - - 1.0 - 0 - - -4.608412872694965 - -2.6606684125873747 - - 30.5 - 52.827549630850754 - - - 1.0 - 0 - - -0.009791452652137192 - -0.01695929347340665 - - -33.5 - 58.023702053557386 - - - 1.0 - 0 - - 9.040223541222753 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - -4.156740622075729 - -7.199685951320624 - - -36.5 - 63.21985447626402 - - - 1.0 - 0 - - 10.882542235049765 - 6.283038688873454 - - 39.5 - 68.41600689897065 - - - 1.0 - 0 - - 0 - -0.6940035079008259 - - -83.0 - 0 - - - 1.0 - 0 - - -7.021892338181922 - -4.054091431669903 - - 44.5 - 77.07626093681505 - - - 1.0 - 0 - - -7.0533275542494165 - 0 - - 97.0 - 0 - - - 1.0 - 0 - - -3.343479779530698 - -5.791076852226357 - - -50.5 - 87.4685657822283 - - - 1.0 - 0 - - -5.487514591318833 - -3.1682180264799276 - - 51.5 - 89.20061658979718 - - - 1.0 - 0 - - 3.0968144723275857 - 1.7879466692286603 - - 53.5 - 92.66471820493493 - - - 1.0 - 0 - - -0.4880613124636168 - 0.28178233013191123 - - 54.5 - -94.39676901250381 - - - 1.0 - 0 - - 0 - 1.414619569835706 - - -113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 9633895 index: 13 label: 2-168-168.107-c1-0-13 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/168/2/v/a/107/7 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 0.7721501225626506 - 0.8023675401341853 - 0.8335151532108166 - 0.8646950684937543 - 0.8935232257253227 - 0.9165137067681803 - 0.9294981637362176 - 0.9280327889565034 - 0.9077857835663384 - 0.8649186147143908 - 0.7964745867581544 - 0.7007774652795277 - 0.577828960030995 - 0.4296810156493319 - 0.2607488020614236 - 0.0780237309764272 - -0.10885679028698514 - -0.28772434978054573 - -0.4442140781941881 - -0.562341763260091 - -0.6253296867807467 - -0.6166659877431796 - -0.521357643715252 - -0.3273108444750808 - -0.026746935087844887 - 0.3824599866375207 - 0.8956532913537558 - 1.5006073649804361 - 2.1772138973318325 - 2.8977502846003858 - 3.6278048387839354 - 4.327884971074847 - 4.955674614238357 - 5.468840083815906 - 5.828215164072232 - 6.001133496357497 - 5.964627054548831 - 5.708181199536103 - 5.235736057489604 - 4.56665530817201 - 3.735448545904032 - 2.790130234167283 - 1.7892209818609006 - 0.7975355574550473 - -0.11895652838468128 - -0.8987834784177837 - -1.490622962699684 - -1.8583845634424088 - -1.9851560271373059 - -1.8755117421221228 - -1.5558109856781508 - -1.0722989456959122 - -0.48704995902989207 - 0.12796253380845116 - 0.698148574270607 - 1.1542182913413164 - 1.4398830166062702 - 1.518450326472155 - 1.3774855436597377 - 1.0308819779635792 - 0.5179474618616721 - -0.10054921546258912 - -0.7490581874610048 - -1.3459814797099285 - -1.8134850842353163 - -2.087218771142188 - -2.1247132357431173 - -1.9113228401906992 - -1.4628379824866178 - -0.824281584436193 - -0.06488609542400137 - 0.7302391108888016 - 1.4707644683503618 - 2.0727677208607562 - 2.469778731352286 - 2.6216963164505898 - 2.5202615228363463 - 2.190204514905323 - 1.685767939533091 - 1.0829713803820806 - 0.4686251120413264 - -0.07237165543177829 - -0.46959032734917705 - -0.6775771214947974 - -0.6826259474990947 - -0.5046552001622427 - -0.19374557069995513 - 0.17827295044105979 - 0.5299827234087026 - 0.7844222632161053 - 0.8827486614572876 - 0.7952076279791833 - 0.5274327925739206 - 0.12077829402814609 - -0.35367006950887453 - -0.8067006299269306 - -1.1464878594248402 - -1.2955211025563804 - -1.2060576430034442 - -0.8712758012717288 - -0.3298640817966104 - 0.337226937299371 - 1.0178629721159096 - 1.586258895335667 - 1.9243643444772294 - 1.9436403610328834 - 1.6034470122112348 - 0.9225789120810453 - -0.018572955933504148 - -1.0863096507465253 - -2.1117085301478857 - -2.91611507043575 - -3.3402196647641262 - -3.2720320181315468 - -2.6689575758626365 - -1.5698943769124165 - -0.09472917438254695 - 1.569393608563708 - 3.193446767347078 - 4.539906392905588 - 5.39899498302732 - 5.621926521450428 - 5.145579229516909 - 4.0042774610238325 - 2.3264131521169644 - 0.31614694464256493 - -1.7770297474738366 - -3.695969691791576 - -5.214571460267844 - -6.171058815150588 - -6.490289545819545 - -6.191446620418889 - -5.380038262405388 - -4.225917809025005 - -2.9315161124805376 - -1.6961914890678502 - -0.6832141376806675 - 0.004712637133057654 - 0.3372246189663306 - 0.3537147930204903 - 0.1475730023881279 - -0.15900968644882282 - -0.44413096867363316 - -0.6129598418878571 - -0.6166277513476291 - -0.4594225968637758 - -0.1930577032660171 - 0.10036921704158054 - 0.33260531348940764 - 0.4349107873974051 - 0.37903671844878994 - 0.18835991001443667 - -0.06382576295841064 - -0.26897697141306437 - -0.30804180867442293 - -0.08093415600763396 - 0.4659386950840856 - 1.320660464140102 - 2.400264392022881 - 3.560832235879611 - 4.621985376425223 - 5.401221418790279 - 5.751109883926204 - 5.591362944187488 - 4.928530086398127 - 3.858444620124483 - 2.550119536588045 - 1.2138084489772925 - 0.059538627174719715 - -0.7452319768767656 - -1.1096605443061045 - -1.0375917105038681 - -0.6252457620065162 - -0.03848968484804862 - 0.5257875966042286 - 0.885958364130333 - 0.9193519042321954 - 0.5933379627184957 - -0.02373737108831216 - -0.7750107851630101 - -1.4490146026194781 - -1.8281501689018482 - -1.7412433175096285 - -1.1083499642039545 - 0.03274926088626579 - 1.5252192867956793 - 3.1184649388863552 - 4.515586058921871 - 5.43340197593386 - 5.662307784157014 - 5.112837915496684 - 3.8383589643391347 - 2.0283049308563044 - -0.02725707044365336 - -1.9945915641065726 - -3.562764220763182 - -4.5053106843012785 - -4.723699014771488 - -4.263114398582196 - -3.29721719435131 - -2.0854675465894923 - -0.9127885330070347 - -0.025322128805577642 - 0.423126084782062 - 0.401881042635145 - 0.0046862057232574285 - -0.5783556046870019 - -1.111163007438685 - -1.3721453363217087 - -1.2102212431218495 - -0.5830037326233586 - 0.43187793557665954 - 1.654835746911644 - 2.8471696698636744 - 3.768135206942057 - 4.232270244925545 - 4.153044422070479 - 3.5623337963872634 - 2.6012320149436854 - 1.4847995338580298 - 0.4497616627250885 - -0.30170597897808676 - -0.6481532421021073 - -0.573744261227359 - -0.16613981708050596 - 0.41140560491440914 - 0.9659399928612247 - 1.326404508528727 - 1.3873458622835964 - 1.133468356443071 - 0.6389994109249705 - 0.042676483175377276 - -0.49424258816711575 - -0.8349636387529753 - -0.9058422891240075 - -0.7158315625967182 - -0.35116903074608313 - 0.0531769416286846 - 0.3570395329945584 - 0.4607478278014558 - 0.3391418008233583 - 0.0529786776935427 - -0.2670189216201777 - -0.46037816241943574 - -0.3908826678897113 - 0.0009118173357949434 - 0.6626916723459315 - 1.4252282130399176 - 2.031883479116185 - 2.1982596999597495 - 1.6886789319289484 - 0.3903742611442603 - -1.6347885409106475 - -4.136986784195681 - -6.710689763352339 - -8.86845892452003 - -10.141434646083479 positive_zeros: - '1.92709563877778171617926670832059' - '3.00930964797720064163324419513392' - '5.48284928235432705841155200945887' - '6.59873794018834260508015337385081' - '7.60548967799814840400790568304342' - '8.760219697270913078864284926169959' - '10.10652364406191742007846537213814' - '10.81594317554563917924559636464532' - '11.65764502781934823287100843949112' - '12.56353618694170397673143502528059' prelabel: 2-168-168.107-c1-0 primitive: true rational: false root_analytic_conductor: 1.1582256921505028 root_angle: 0.0036486570899486458 root_number: 0.9999343051851648 + 0.011462343297148061*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.00182432854497' prec: 54 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.92709563877778171617926670832' prec: 103 z2: __RealLiteral__: 0 data: '3.00930964797720064163324419513' prec: 103 z3: __RealLiteral__: 0 data: '5.48284928235432705841155200946' prec: 103 - - algebraic: true analytic_conductor: 1.341486753957511 bad_primes: - 2 - 3 - 7 central_character: '168.107' conductor: 168 conductor_radical: 42 degree: 2 id: 9633895 index: 13 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/168/2/v/a/107/7 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: 2-168-168.107-c1-0-13 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: 2-168-168.107-c1-0 primitive: true rational: false root_analytic_conductor: 1.1582256921505028 root_angle: 0.0018243285449743229 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.92709563877778171617926670832' prec: 103 - - Lhash: '2442883943193858143448837224402' Lhash_array: - '2442883943193858143448837224402' id: 9999939 label: 2-168-168.107-c1-0-13 type: CMF url: ModularForm/GL2/Q/holomorphic/168/2/v/a/107/7 label_cols: - label - label - label labels: - 2-168-168.107-c1-0-13 - 2-168-168.107-c1-0-13 - 2-168-168.107-c1-0-13 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-19T22:13:10.322985'