Properties

Label 507.2.t.a.10.4
Level 507507
Weight 22
Character 507.10
Analytic conductor 4.0484.048
Analytic rank 00
Dimension 336336
Inner twists 22

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [507,2,Mod(4,507)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(507, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([0, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("507.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 507=3132 507 = 3 \cdot 13^{2}
Weight: k k == 2 2
Character orbit: [χ][\chi] == 507.t (of order 7878, degree 2424, minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: 4.048415382484.04841538248
Analytic rank: 00
Dimension: 336336
Relative dimension: 1414 over Q(ζ78)\Q(\zeta_{78})
Twist minimal: yes
Sato-Tate group: SU(2)[C78]\mathrm{SU}(2)[C_{78}]

Embedding invariants

Embedding label 10.4
Character χ\chi == 507.10
Dual form 507.2.t.a.355.4

qq-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
f(q)f(q) == q+(1.782760.363953i)q2+(0.9870500.160411i)q3+(1.20581+0.513748i)q4+(0.7180462.91323i)q5+(1.818060.0732651i)q6+(2.45740+1.16605i)q7+(1.03220+0.712476i)q8+(0.9485360.316668i)q9+(2.34038+4.93225i)q10+(0.7270302.17772i)q11+(1.27261+0.313669i)q12+(1.224103.39140i)q13+(4.805351.18441i)q14+(0.2414332.99068i)q15+(3.396753.53639i)q16+(0.309247+0.651725i)q17+(1.80626+0.219320i)q18+(1.490690.860650i)q19+(2.362493.14390i)q20+(2.23853+1.54515i)q21+(2.08871+3.61775i)q22+(0.320417+0.554979i)q23+(1.13312+0.537673i)q24+(3.544011.86004i)q25+(0.947964+6.49156i)q26+(0.8854560.464723i)q27+(3.56222+0.143552i)q28+(0.791728+3.87814i)q29+(1.51888+5.24380i)q30+(3.552606.76892i)q31+(3.42784+5.42070i)q32+(0.3682842.26614i)q33+(0.3141161.27442i)q34+(1.63245+7.99625i)q35+(1.30644+0.105467i)q36+(0.705363+1.11544i)q37+(2.34431+2.07687i)q38+(1.752273.15112i)q39+(2.816772.49544i)q40+(1.473219.06503i)q41+(4.553131.93991i)q42+(7.84941+4.96367i)q43+(1.995462.25241i)q44+(0.2414332.99068i)q45+(0.3692411.10601i)q46+(0.7870020.0955593i)q47+(3.920042.94572i)q48+(0.2520340.308686i)q49+(5.64116+4.60586i)q50+(0.409786+0.593678i)q51+(0.2662934.71826i)q52+(7.3135710.5955i)q53+(1.74769+0.506225i)q54+(5.822153.68170i)q55+(3.367320.547242i)q56+(1.609440.610382i)q57+(2.822926.62563i)q58+(6.278076.03017i)q59+(1.827583.48216i)q60+(4.52213+0.365064i)q61+(3.86987+13.3603i)q62+(1.96168+1.88422i)q63+(0.6605471.74172i)q64+(10.7589+1.13090i)q65+(1.48133+3.90595i)q66+(0.135153+0.317215i)q67+(0.0380714+0.944731i)q68+(0.405293+0.496394i)q6914.8495iq70+(1.91642+1.56471i)q71+(1.20470+0.348945i)q72+(3.271413.69266i)q73+(1.663461.73185i)q74+(3.796491.26746i)q75+(1.355331.80362i)q76+(0.752730+6.19929i)q77+(1.97701+6.25543i)q78+(0.845391+6.96242i)q79+(12.7413+7.35622i)q80+(0.7994430.600742i)q81+(0.672864+16.6969i)q82+(2.53465+0.961265i)q83+(3.49306+0.713113i)q84+(2.120670.432939i)q85+(15.80015.99221i)q86+(0.159378+3.95492i)q87+(2.302011.72985i)q88+(10.50606.06567i)q89+(0.658051+5.41954i)q90+(6.96265+6.90667i)q91+(0.101243+0.833813i)q92+(4.592416.11139i)q93+(1.36826+0.456791i)q94+(3.57765+3.72473i)q95+(4.25299+4.80063i)q96+(12.1748+3.52648i)q97+(0.561663+0.458584i)q982.29587iq99+O(q100)q+(-1.78276 - 0.363953i) q^{2} +(0.987050 - 0.160411i) q^{3} +(1.20581 + 0.513748i) q^{4} +(0.718046 - 2.91323i) q^{5} +(-1.81806 - 0.0732651i) q^{6} +(-2.45740 + 1.16605i) q^{7} +(1.03220 + 0.712476i) q^{8} +(0.948536 - 0.316668i) q^{9} +(-2.34038 + 4.93225i) q^{10} +(0.727030 - 2.17772i) q^{11} +(1.27261 + 0.313669i) q^{12} +(-1.22410 - 3.39140i) q^{13} +(4.80535 - 1.18441i) q^{14} +(0.241433 - 2.99068i) q^{15} +(-3.39675 - 3.53639i) q^{16} +(0.309247 + 0.651725i) q^{17} +(-1.80626 + 0.219320i) q^{18} +(-1.49069 - 0.860650i) q^{19} +(2.36249 - 3.14390i) q^{20} +(-2.23853 + 1.54515i) q^{21} +(-2.08871 + 3.61775i) q^{22} +(0.320417 + 0.554979i) q^{23} +(1.13312 + 0.537673i) q^{24} +(-3.54401 - 1.86004i) q^{25} +(0.947964 + 6.49156i) q^{26} +(0.885456 - 0.464723i) q^{27} +(-3.56222 + 0.143552i) q^{28} +(-0.791728 + 3.87814i) q^{29} +(-1.51888 + 5.24380i) q^{30} +(-3.55260 - 6.76892i) q^{31} +(3.42784 + 5.42070i) q^{32} +(0.368284 - 2.26614i) q^{33} +(-0.314116 - 1.27442i) q^{34} +(1.63245 + 7.99625i) q^{35} +(1.30644 + 0.105467i) q^{36} +(-0.705363 + 1.11544i) q^{37} +(2.34431 + 2.07687i) q^{38} +(-1.75227 - 3.15112i) q^{39} +(2.81677 - 2.49544i) q^{40} +(-1.47321 - 9.06503i) q^{41} +(4.55313 - 1.93991i) q^{42} +(-7.84941 + 4.96367i) q^{43} +(1.99546 - 2.25241i) q^{44} +(-0.241433 - 2.99068i) q^{45} +(-0.369241 - 1.10601i) q^{46} +(-0.787002 - 0.0955593i) q^{47} +(-3.92004 - 2.94572i) q^{48} +(0.252034 - 0.308686i) q^{49} +(5.64116 + 4.60586i) q^{50} +(0.409786 + 0.593678i) q^{51} +(0.266293 - 4.71826i) q^{52} +(7.31357 - 10.5955i) q^{53} +(-1.74769 + 0.506225i) q^{54} +(-5.82215 - 3.68170i) q^{55} +(-3.36732 - 0.547242i) q^{56} +(-1.60944 - 0.610382i) q^{57} +(2.82292 - 6.62563i) q^{58} +(-6.27807 - 6.03017i) q^{59} +(1.82758 - 3.48216i) q^{60} +(-4.52213 + 0.365064i) q^{61} +(3.86987 + 13.3603i) q^{62} +(-1.96168 + 1.88422i) q^{63} +(-0.660547 - 1.74172i) q^{64} +(-10.7589 + 1.13090i) q^{65} +(-1.48133 + 3.90595i) q^{66} +(0.135153 + 0.317215i) q^{67} +(0.0380714 + 0.944731i) q^{68} +(0.405293 + 0.496394i) q^{69} -14.8495i q^{70} +(-1.91642 + 1.56471i) q^{71} +(1.20470 + 0.348945i) q^{72} +(-3.27141 - 3.69266i) q^{73} +(1.66346 - 1.73185i) q^{74} +(-3.79649 - 1.26746i) q^{75} +(-1.35533 - 1.80362i) q^{76} +(0.752730 + 6.19929i) q^{77} +(1.97701 + 6.25543i) q^{78} +(-0.845391 + 6.96242i) q^{79} +(-12.7413 + 7.35622i) q^{80} +(0.799443 - 0.600742i) q^{81} +(-0.672864 + 16.6969i) q^{82} +(-2.53465 + 0.961265i) q^{83} +(-3.49306 + 0.713113i) q^{84} +(2.12067 - 0.432939i) q^{85} +(15.8001 - 5.99221i) q^{86} +(-0.159378 + 3.95492i) q^{87} +(2.30201 - 1.72985i) q^{88} +(10.5060 - 6.06567i) q^{89} +(-0.658051 + 5.41954i) q^{90} +(6.96265 + 6.90667i) q^{91} +(0.101243 + 0.833813i) q^{92} +(-4.59241 - 6.11139i) q^{93} +(1.36826 + 0.456791i) q^{94} +(-3.57765 + 3.72473i) q^{95} +(4.25299 + 4.80063i) q^{96} +(12.1748 + 3.52648i) q^{97} +(-0.561663 + 0.458584i) q^{98} -2.29587i q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 336q+14q312q4+14q9+4q10+24q12+26q13+4q14+8q16+4q17+72q2248q23+68q25+39q2628q2745q29+4q30+26q31++104q98+O(q100) 336 q + 14 q^{3} - 12 q^{4} + 14 q^{9} + 4 q^{10} + 24 q^{12} + 26 q^{13} + 4 q^{14} + 8 q^{16} + 4 q^{17} + 72 q^{22} - 48 q^{23} + 68 q^{25} + 39 q^{26} - 28 q^{27} - 45 q^{29} + 4 q^{30} + 26 q^{31}+ \cdots + 104 q^{98}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/507Z)×\left(\mathbb{Z}/507\mathbb{Z}\right)^\times.

nn 170170 340340
χ(n)\chi(n) 11 e(578)e\left(\frac{5}{78}\right)

Coefficient data

For each nn we display the coefficients of the qq-expansion ana_n, the Satake parameters αp\alpha_p, and the Satake angles θp=Arg(αp)\theta_p = \textrm{Arg}(\alpha_p).



Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)
Significant digits:
nn ana_n an/n(k1)/2a_n / n^{(k-1)/2} αn \alpha_n θn \theta_n
pp apa_p ap/p(k1)/2a_p / p^{(k-1)/2} αp \alpha_p θp \theta_p
22 −1.78276 0.363953i −1.26060 0.257354i −0.477158 0.878817i 0.658333π-0.658333\pi
−0.783443 + 0.621464i 0.786538π0.786538\pi
33 0.987050 0.160411i 0.569874 0.0926135i
44 1.20581 + 0.513748i 0.602905 + 0.256874i
55 0.718046 2.91323i 0.321120 1.30283i −0.559429 0.828878i 0.688979π-0.688979\pi
0.880549 0.473956i 0.157174π-0.157174\pi
66 −1.81806 0.0732651i −0.742218 0.0299104i
77 −2.45740 + 1.16605i −0.928811 + 0.440726i −0.832125 0.554589i 0.812876π-0.812876\pi
−0.0966863 + 0.995315i 0.530824π0.530824\pi
88 1.03220 + 0.712476i 0.364938 + 0.251898i
99 0.948536 0.316668i 0.316179 0.105556i
1010 −2.34038 + 4.93225i −0.740093 + 1.55971i
1111 0.727030 2.17772i 0.219208 0.656607i −0.780305 0.625399i 0.784936π-0.784936\pi
0.999513 0.0312084i 0.00993555π-0.00993555\pi
1212 1.27261 + 0.313669i 0.367370 + 0.0905485i
1313 −1.22410 3.39140i −0.339504 0.940605i
1414 4.80535 1.18441i 1.28428 0.316547i
1515 0.241433 2.99068i 0.0623377 0.772191i
1616 −3.39675 3.53639i −0.849188 0.884099i
1717 0.309247 + 0.651725i 0.0750035 + 0.158066i 0.937489 0.348016i 0.113144π-0.113144\pi
−0.862485 + 0.506082i 0.831093π0.831093\pi
1818 −1.80626 + 0.219320i −0.425741 + 0.0516943i
1919 −1.49069 0.860650i −0.341988 0.197447i 0.319163 0.947700i 0.396598π-0.396598\pi
−0.661151 + 0.750253i 0.729932π0.729932\pi
2020 2.36249 3.14390i 0.528269 0.702998i
2121 −2.23853 + 1.54515i −0.488488 + 0.337179i
2222 −2.08871 + 3.61775i −0.445314 + 0.771306i
2323 0.320417 + 0.554979i 0.0668116 + 0.115721i 0.897496 0.441022i 0.145384π-0.145384\pi
−0.830685 + 0.556743i 0.812051π0.812051\pi
2424 1.13312 + 0.537673i 0.231298 + 0.109752i
2525 −3.54401 1.86004i −0.708803 0.372008i
2626 0.947964 + 6.49156i 0.185911 + 1.27310i
2727 0.885456 0.464723i 0.170406 0.0894360i
2828 −3.56222 + 0.143552i −0.673196 + 0.0271289i
2929 −0.791728 + 3.87814i −0.147020 + 0.720152i 0.837717 + 0.546104i 0.183890π0.183890\pi
−0.984737 + 0.174048i 0.944315π0.944315\pi
3030 −1.51888 + 5.24380i −0.277309 + 0.957382i
3131 −3.55260 6.76892i −0.638067 1.21573i −0.962873 0.269954i 0.912992π-0.912992\pi
0.324807 0.945780i 0.394701π-0.394701\pi
3232 3.42784 + 5.42070i 0.605962 + 0.958253i
3333 0.368284 2.26614i 0.0641100 0.394485i
3434 −0.314116 1.27442i −0.0538705 0.218561i
3535 1.63245 + 7.99625i 0.275934 + 1.35161i
3636 1.30644 + 0.105467i 0.217740 + 0.0175778i
3737 −0.705363 + 1.11544i −0.115961 + 0.183378i −0.898183 0.439623i 0.855112π-0.855112\pi
0.782222 + 0.623000i 0.214087π0.214087\pi
3838 2.34431 + 2.07687i 0.380297 + 0.336913i
3939 −1.75227 3.15112i −0.280587 0.504583i
4040 2.81677 2.49544i 0.445371 0.394564i
4141 −1.47321 9.06503i −0.230077 1.41572i −0.802936 0.596066i 0.796730π-0.796730\pi
0.572859 0.819654i 0.305834π-0.305834\pi
4242 4.55313 1.93991i 0.702562 0.299334i
4343 −7.84941 + 4.96367i −1.19702 + 0.756952i −0.975884 0.218290i 0.929952π-0.929952\pi
−0.221140 + 0.975242i 0.570978π0.570978\pi
4444 1.99546 2.25241i 0.300827 0.339563i
4545 −0.241433 2.99068i −0.0359907 0.445825i
4646 −0.369241 1.10601i −0.0544416 0.163072i
4747 −0.787002 0.0955593i −0.114796 0.0139388i 0.0629370 0.998018i 0.479953π-0.479953\pi
−0.177733 + 0.984079i 0.556876π0.556876\pi
4848 −3.92004 2.94572i −0.565810 0.425178i
4949 0.252034 0.308686i 0.0360049 0.0440980i
5050 5.64116 + 4.60586i 0.797780 + 0.651367i
5151 0.409786 + 0.593678i 0.0573816 + 0.0831316i
5252 0.266293 4.71826i 0.0369281 0.654305i
5353 7.31357 10.5955i 1.00460 1.45541i 0.117917 0.993023i 0.462378π-0.462378\pi
0.886679 0.462385i 0.153006π-0.153006\pi
5454 −1.74769 + 0.506225i −0.237831 + 0.0688885i
5555 −5.82215 3.68170i −0.785059 0.496441i
5656 −3.36732 0.547242i −0.449977 0.0731283i
5757 −1.60944 0.610382i −0.213176 0.0808470i
5858 2.82292 6.62563i 0.370667 0.869988i
5959 −6.27807 6.03017i −0.817335 0.785061i 0.162110 0.986773i 0.448170π-0.448170\pi
−0.979445 + 0.201712i 0.935350π0.935350\pi
6060 1.82758 3.48216i 0.235939 0.449545i
6161 −4.52213 + 0.365064i −0.579000 + 0.0467417i −0.366498 0.930419i 0.619443π-0.619443\pi
−0.212502 + 0.977161i 0.568161π0.568161\pi
6262 3.86987 + 13.3603i 0.491474 + 1.69676i
6363 −1.96168 + 1.88422i −0.247149 + 0.237390i
6464 −0.660547 1.74172i −0.0825683 0.217715i
6565 −10.7589 + 1.13090i −1.33447 + 0.140270i
6666 −1.48133 + 3.90595i −0.182339 + 0.480789i
6767 0.135153 + 0.317215i 0.0165115 + 0.0387540i 0.928031 0.372503i 0.121500π-0.121500\pi
−0.911520 + 0.411257i 0.865090π0.865090\pi
6868 0.0380714 + 0.944731i 0.00461683 + 0.114565i
6969 0.405293 + 0.496394i 0.0487915 + 0.0597588i
7070 14.8495i 1.77486i
7171 −1.91642 + 1.56471i −0.227438 + 0.185697i −0.739312 0.673364i 0.764849π-0.764849\pi
0.511874 + 0.859061i 0.328951π0.328951\pi
7272 1.20470 + 0.348945i 0.141975 + 0.0411236i
7373 −3.27141 3.69266i −0.382890 0.432193i 0.525194 0.850983i 0.323993π-0.323993\pi
−0.908083 + 0.418790i 0.862454π0.862454\pi
7474 1.66346 1.73185i 0.193373 0.201323i
7575 −3.79649 1.26746i −0.438381 0.146353i
7676 −1.35533 1.80362i −0.155467 0.206889i
7777 0.752730 + 6.19929i 0.0857816 + 0.706475i
7878 1.97701 + 6.25543i 0.223852 + 0.708288i
7979 −0.845391 + 6.96242i −0.0951139 + 0.783333i 0.864621 + 0.502425i 0.167559π0.167559\pi
−0.959735 + 0.280908i 0.909364π0.909364\pi
8080 −12.7413 + 7.35622i −1.42453 + 0.822450i
8181 0.799443 0.600742i 0.0888270 0.0667491i
8282 −0.672864 + 16.6969i −0.0743054 + 1.84387i
8383 −2.53465 + 0.961265i −0.278214 + 0.105513i −0.489765 0.871854i 0.662918π-0.662918\pi
0.211552 + 0.977367i 0.432148π0.432148\pi
8484 −3.49306 + 0.713113i −0.381124 + 0.0778070i
8585 2.12067 0.432939i 0.230019 0.0469588i
8686 15.8001 5.99221i 1.70377 0.646156i
8787 −0.159378 + 3.95492i −0.0170871 + 0.424012i
8888 2.30201 1.72985i 0.245396 0.184403i
8989 10.5060 6.06567i 1.11364 0.642960i 0.173870 0.984769i 0.444373π-0.444373\pi
0.939769 + 0.341809i 0.111040π0.111040\pi
9090 −0.658051 + 5.41954i −0.0693647 + 0.571269i
9191 6.96265 + 6.90667i 0.729884 + 0.724016i
9292 0.101243 + 0.833813i 0.0105553 + 0.0869310i
9393 −4.59241 6.11139i −0.476211 0.633721i
9494 1.36826 + 0.456791i 0.141125 + 0.0471144i
9595 −3.57765 + 3.72473i −0.367059 + 0.382149i
9696 4.25299 + 4.80063i 0.434069 + 0.489963i
9797 12.1748 + 3.52648i 1.23617 + 0.358060i 0.831046 0.556203i 0.187742π-0.187742\pi
0.405121 + 0.914263i 0.367230π0.367230\pi
9898 −0.561663 + 0.458584i −0.0567366 + 0.0463240i
9999 2.29587i 0.230744i
100100 −3.31782 4.06359i −0.331782 0.406359i
101101 −0.745598 18.5018i −0.0741897 1.84100i −0.425758 0.904837i 0.639993π-0.639993\pi
0.351568 0.936162i 0.385648π-0.385648\pi
102102 −0.514480 1.20753i −0.0509411 0.119563i
103103 −0.390952 + 1.03086i −0.0385216 + 0.101573i −0.952897 0.303295i 0.901913π-0.901913\pi
0.914375 + 0.404868i 0.132683π0.132683\pi
104104 1.15278 4.37274i 0.113039 0.428783i
105105 2.89399 + 7.63084i 0.282425 + 0.744693i
106106 −16.8946 + 16.2275i −1.64095 + 1.57615i
107107 1.85063 + 6.38911i 0.178907 + 0.617658i 0.998970 + 0.0453845i 0.0144513π0.0144513\pi
−0.820063 + 0.572274i 0.806062π0.806062\pi
108108 1.30644 0.105467i 0.125712 0.0101486i
109109 3.97773 7.57893i 0.380997 0.725930i −0.617145 0.786849i 0.711711π-0.711711\pi
0.998143 + 0.0609194i 0.0194033π0.0194033\pi
110110 9.03952 + 8.68258i 0.861885 + 0.827852i
111111 −0.517299 + 1.21415i −0.0490999 + 0.115242i
112112 12.4708 + 4.72956i 1.17838 + 0.446901i
113113 14.7929 + 2.40407i 1.39160 + 0.226156i 0.809574 0.587017i 0.199698π-0.199698\pi
0.582021 + 0.813174i 0.302262π0.302262\pi
114114 2.64710 + 1.67393i 0.247924 + 0.156777i
115115 1.84685 0.534948i 0.172220 0.0498841i
116116 −2.94706 + 4.26955i −0.273627 + 0.396418i
117117 −2.23505 2.82923i −0.206630 0.261563i
118118 8.99759 + 13.0353i 0.828295 + 1.19999i
119119 −1.51989 1.24095i −0.139328 0.113758i
120120 2.38000 2.91497i 0.217263 0.266099i
121121 4.57998 + 3.44163i 0.416362 + 0.312875i
122122 8.19474 + 0.995021i 0.741917 + 0.0900850i
123123 −2.90827 8.71132i −0.262230 0.785473i
124124 −0.806248 9.98717i −0.0724032 0.896875i
125125 1.98472 2.24029i 0.177519 0.200377i
126126 4.18298 2.64516i 0.372650 0.235649i
127127 13.2591 5.64916i 1.17655 0.501282i 0.286918 0.957955i 0.407369π-0.407369\pi
0.889635 + 0.456673i 0.150959π0.150959\pi
128128 −1.51393 9.31558i −0.133814 0.823389i
129129 −6.95153 + 6.15852i −0.612048 + 0.542228i
130130 19.5921 + 1.89960i 1.71834 + 0.166606i
131131 15.2165 + 13.4807i 1.32947 + 1.17781i 0.969568 + 0.244823i 0.0787298π0.0787298\pi
0.359906 + 0.932989i 0.382809π0.382809\pi
132132 1.60831 2.54333i 0.139985 0.221369i
133133 4.66679 + 0.376742i 0.404662 + 0.0326677i
134134 −0.125494 0.614708i −0.0108410 0.0531027i
135135 −0.718046 2.91323i −0.0617995 0.250731i
136136 −0.145133 + 0.893042i −0.0124451 + 0.0765777i
137137 3.83972 + 6.07203i 0.328050 + 0.518769i 0.968429 0.249290i 0.0801972π-0.0801972\pi
−0.640379 + 0.768059i 0.721223π0.721223\pi
138138 −0.541876 1.03246i −0.0461275 0.0878886i
139139 −3.81760 + 13.1799i −0.323805 + 1.11790i 0.619230 + 0.785210i 0.287445π0.287445\pi
−0.943035 + 0.332694i 0.892042π0.892042\pi
140140 −2.13963 + 10.4806i −0.180832 + 0.885774i
141141 −0.792139 + 0.0319221i −0.0667102 + 0.00268833i
142142 3.98600 2.09201i 0.334498 0.175558i
143143 −8.27547 + 0.200096i −0.692030 + 0.0167329i
144144 −4.34181 2.27876i −0.361817 0.189896i
145145 10.7294 + 5.09116i 0.891028 + 0.422798i
146146 4.48818 + 7.77376i 0.371445 + 0.643361i
147147 0.199254 0.345118i 0.0164342 0.0284648i
148148 −1.42359 + 0.982633i −0.117018 + 0.0807719i
149149 −8.59958 + 11.4440i −0.704505 + 0.937526i −0.999840 0.0178678i 0.994312π-0.994312\pi
0.295335 + 0.955394i 0.404569π0.404569\pi
150150 6.30694 + 3.64131i 0.514959 + 0.297312i
151151 10.4862 1.27325i 0.853352 0.103616i 0.317841 0.948144i 0.397042π-0.397042\pi
0.535511 + 0.844528i 0.320119π0.320119\pi
152152 −0.925498 1.95045i −0.0750678 0.158202i
153153 0.499713 + 0.520256i 0.0403994 + 0.0420602i
154154 0.914313 11.3258i 0.0736775 0.912659i
155155 −22.2703 + 5.48914i −1.78880 + 0.440899i
156156 −0.494018 4.69988i −0.0395531 0.376291i
157157 4.19209 + 1.03326i 0.334565 + 0.0824629i 0.403020 0.915191i 0.367961π-0.367961\pi
−0.0684545 + 0.997654i 0.521807π0.521807\pi
158158 4.04112 12.1046i 0.321494 0.962993i
159159 5.51922 11.6315i 0.437702 0.922438i
160160 18.2531 6.09377i 1.44303 0.481754i
161161 −1.43453 0.990184i −0.113057 0.0780374i
162162 −1.64386 + 0.780019i −0.129154 + 0.0612841i
163163 −5.74038 0.231329i −0.449621 0.0181191i −0.185577 0.982630i 0.559415π-0.559415\pi
−0.264044 + 0.964511i 0.585057π0.585057\pi
164164 2.88073 11.6876i 0.224947 0.912645i
165165 −6.33734 2.70009i −0.493361 0.210202i
166166 4.86852 0.791212i 0.377871 0.0614100i
167167 21.9974 + 4.49080i 1.70221 + 0.347508i 0.950199 0.311644i 0.100880π-0.100880\pi
0.752009 + 0.659153i 0.229085π0.229085\pi
168168 −3.41149 −0.263203
169169 −10.0032 + 8.30281i −0.769474 + 0.638678i
170170 −3.93822 −0.302048
171171 −1.68651 0.344304i −0.128971 0.0263296i
172172 −12.0150 + 1.95262i −0.916133 + 0.148886i
173173 −0.355474 0.151453i −0.0270262 0.0115148i 0.378411 0.925638i 0.376471π-0.376471\pi
−0.405437 + 0.914123i 0.632881π0.632881\pi
174174 1.72354 6.99266i 0.130661 0.530112i
175175 10.8780 + 0.438368i 0.822298 + 0.0331375i
176176 −10.1708 + 4.82611i −0.766654 + 0.363782i
177177 −7.16408 4.94501i −0.538485 0.371689i
178178 −20.9374 + 6.98992i −1.56932 + 0.523917i
179179 0.507603 1.06975i 0.0379400 0.0799570i −0.883595 0.468251i 0.844884π-0.844884\pi
0.921535 + 0.388294i 0.126936π0.126936\pi
180180 1.24533 3.73023i 0.0928217 0.278035i
181181 −22.0593 5.43712i −1.63965 0.404138i −0.691608 0.722273i 0.743097π-0.743097\pi
−0.948045 + 0.318135i 0.896944π0.896944\pi
182182 −9.89903 14.8470i −0.733765 1.10053i
183183 −4.40501 + 1.08574i −0.325628 + 0.0802600i
184184 −0.0646746 + 0.801139i −0.00476788 + 0.0590608i
185185 2.74305 + 2.85582i 0.201673 + 0.209964i
186186 5.96290 + 12.5666i 0.437221 + 0.921424i
187187 1.64411 0.199631i 0.120229 0.0145984i
188188 −0.899881 0.519547i −0.0656306 0.0378918i
189189 −1.63403 + 2.17450i −0.118858 + 0.158172i
190190 7.73372 5.33820i 0.561063 0.387274i
191191 12.0906 20.9416i 0.874849 1.51528i 0.0179245 0.999839i 0.494294π-0.494294\pi
0.856924 0.515443i 0.172373π-0.172373\pi
192192 −0.931384 1.61320i −0.0672168 0.116423i
193193 8.87010 + 4.20891i 0.638484 + 0.302964i 0.720279 0.693685i 0.244014π-0.244014\pi
−0.0817949 + 0.996649i 0.526065π0.526065\pi
194194 −20.4213 10.7179i −1.46617 0.769503i
195195 −10.4381 + 2.84210i −0.747490 + 0.203527i
196196 0.462492 0.242734i 0.0330351 0.0173382i
197197 −8.23527 + 0.331870i −0.586739 + 0.0236448i −0.331861 0.943328i 0.607676π-0.607676\pi
−0.254878 + 0.966973i 0.582035π0.582035\pi
198198 −0.835590 + 4.09299i −0.0593828 + 0.290876i
199199 3.87163 13.3664i 0.274452 0.947519i −0.698326 0.715780i 0.746071π-0.746071\pi
0.972778 0.231739i 0.0744416π-0.0744416\pi
200200 −2.33290 4.44496i −0.164961 0.314306i
201201 0.184288 + 0.291427i 0.0129986 + 0.0205557i
202202 −5.40457 + 33.2556i −0.380264 + 2.33986i
203203 −2.57652 10.4533i −0.180836 0.733681i
204204 0.189124 + 0.926390i 0.0132413 + 0.0648603i
205205 −27.4663 2.21731i −1.91833 0.154864i
206206 1.07216 1.69548i 0.0747007 0.118130i
207207 0.479671 + 0.424952i 0.0333395 + 0.0295362i
208208 −7.83536 + 15.8486i −0.543285 + 1.09891i
209209 −2.95803 + 2.62059i −0.204611 + 0.181270i
210210 −2.38203 14.6572i −0.164376 1.01144i
211211 −6.95938 + 2.96512i −0.479104 + 0.204127i −0.617997 0.786180i 0.712056π-0.712056\pi
0.138893 + 0.990307i 0.455645π0.455645\pi
212212 14.2622 9.01887i 0.979532 0.619419i
213213 −1.64061 + 1.85186i −0.112413 + 0.126888i
214214 −0.973889 12.0638i −0.0665737 0.824663i
215215 8.82404 + 26.4312i 0.601795 + 1.80260i
216216 1.24507 + 0.151179i 0.0847164 + 0.0102864i
217217 16.6231 + 12.4914i 1.12845 + 0.847975i
218218 −9.84971 + 12.0637i −0.667106 + 0.817057i
219219 −3.82139 3.12007i −0.258226 0.210835i
220220 −5.12894 7.43055i −0.345793 0.500968i
221221 1.83171 1.84656i 0.123214 0.124213i
222222 1.36411 1.97626i 0.0915532 0.132638i
223223 10.2524 2.96964i 0.686551 0.198862i 0.0834324 0.996513i 0.473412π-0.473412\pi
0.603119 + 0.797652i 0.293925π0.293925\pi
224224 −14.7444 9.32379i −0.985152 0.622972i
225225 −3.95064 0.642042i −0.263376 0.0428028i
226226 −25.4971 9.66979i −1.69605 0.643225i
227227 −2.63530 + 6.18528i −0.174911 + 0.410531i −0.984243 0.176820i 0.943419π-0.943419\pi
0.809332 + 0.587351i 0.199829π0.199829\pi
228228 −1.62710 1.56285i −0.107757 0.103502i
229229 8.63130 16.4456i 0.570372 1.08675i −0.413938 0.910305i 0.635847π-0.635847\pi
0.984310 0.176448i 0.0564608π-0.0564608\pi
230230 −3.48719 + 0.281515i −0.229939 + 0.0185626i
231231 1.73742 + 5.99827i 0.114314 + 0.394657i
232232 −3.58030 + 3.43893i −0.235058 + 0.225777i
233233 −0.673542 1.77599i −0.0441252 0.116349i 0.911142 0.412092i 0.135202π-0.135202\pi
−0.955267 + 0.295744i 0.904433π0.904433\pi
234234 2.95485 + 5.85729i 0.193164 + 0.382903i
235235 −0.843489 + 2.22410i −0.0550232 + 0.145084i
236236 −4.47217 10.4966i −0.291114 0.683269i
237237 0.282407 + 7.00787i 0.0183443 + 0.455210i
238238 2.25795 + 2.76549i 0.146361 + 0.179260i
239239 4.05944i 0.262583i 0.991344 + 0.131292i 0.0419125π0.0419125\pi
−0.991344 + 0.131292i 0.958088π0.958088\pi
240240 −11.3963 + 9.30481i −0.735630 + 0.600623i
241241 25.6265 + 7.42280i 1.65075 + 0.478144i 0.967673 0.252206i 0.0811562π-0.0811562\pi
0.683072 + 0.730351i 0.260643π0.260643\pi
242242 −6.91241 7.80249i −0.444346 0.501563i
243243 0.692724 0.721202i 0.0444383 0.0462652i
244244 −5.64038 1.88304i −0.361088 0.120549i
245245 −0.718299 0.955883i −0.0458905 0.0610691i
246246 2.01423 + 16.5887i 0.128423 + 1.05765i
247247 −1.09406 + 6.10905i −0.0696132 + 0.388709i
248248 1.15570 9.51803i 0.0733869 0.604395i
249249 −2.34763 + 1.35540i −0.148775 + 0.0858952i
250250 −4.35364 + 3.27154i −0.275348 + 0.206911i
251251 −0.382570 + 9.49338i −0.0241476 + 0.599217i 0.941138 + 0.338022i 0.109758π0.109758\pi
−0.965286 + 0.261195i 0.915883π0.915883\pi
252252 −3.33343 + 1.26420i −0.209987 + 0.0796374i
253253 1.44154 0.294293i 0.0906290 0.0185020i
254254 −25.6938 + 5.24542i −1.61217 + 0.329127i
255255 2.02376 0.767512i 0.126733 0.0480635i
256256 −0.841474 + 20.8810i −0.0525921 + 1.30506i
257257 6.80117 5.11075i 0.424245 0.318800i −0.367086 0.930187i 0.619645π-0.619645\pi
0.791332 + 0.611387i 0.209388π0.209388\pi
258258 14.6343 8.44913i 0.911093 0.526020i
259259 0.432697 3.56358i 0.0268865 0.221430i
260260 −13.5541 4.16370i −0.840592 0.258221i
261261 0.477100 + 3.92927i 0.0295317 + 0.243216i
262262 −22.2211 29.5709i −1.37282 1.82690i
263263 8.03622 + 2.68289i 0.495535 + 0.165434i 0.553441 0.832888i 0.313314π-0.313314\pi
−0.0579065 + 0.998322i 0.518443π0.518443\pi
264264 1.99472 2.07672i 0.122766 0.127813i
265265 −25.6157 28.9142i −1.57356 1.77618i
266266 −8.18265 2.37013i −0.501710 0.145322i
267267 9.39700 7.67241i 0.575087 0.469544i
268268 0.451936i 0.0276064i
269269 −16.4673 20.1688i −1.00403 1.22971i −0.973146 0.230191i 0.926065π-0.926065\pi
−0.0308847 0.999523i 0.509832π-0.509832\pi
270270 0.219826 + 5.45491i 0.0133782 + 0.331976i
271271 −7.47968 17.5555i −0.454358 1.06642i −0.976879 0.213792i 0.931419π-0.931419\pi
0.522521 0.852626i 0.324992π-0.324992\pi
272272 1.25432 3.30737i 0.0760543 0.200539i
273273 7.98039 + 5.70034i 0.482995 + 0.345000i
274274 −4.63536 12.2225i −0.280033 0.738385i
275275 −6.62726 + 6.36557i −0.399639 + 0.383858i
276276 0.233685 + 0.806774i 0.0140662 + 0.0485621i
277277 27.6888 2.23527i 1.66366 0.134305i 0.787497 0.616319i 0.211377π-0.211377\pi
0.876163 + 0.482015i 0.160095π0.160095\pi
278278 11.6027 22.1071i 0.695885 1.32590i
279279 −5.51328 5.29557i −0.330071 0.317038i
280280 −4.01213 + 9.41681i −0.239770 + 0.562762i
281281 −22.9778 8.71433i −1.37074 0.519853i −0.444159 0.895948i 0.646497π-0.646497\pi
−0.926581 + 0.376095i 0.877267π0.877267\pi
282282 1.42381 + 0.231392i 0.0847868 + 0.0137792i
283283 −13.6570 8.63619i −0.811827 0.513368i 0.0628798 0.998021i 0.479972π-0.479972\pi
−0.874707 + 0.484653i 0.838946π0.838946\pi
284284 −3.11471 + 0.902186i −0.184824 + 0.0535349i
285285 −2.93383 + 4.25039i −0.173785 + 0.251772i
286286 14.8260 + 2.65516i 0.876680 + 0.157003i
287287 14.1906 + 20.5586i 0.837643 + 1.21354i
288288 4.96799 + 4.05624i 0.292742 + 0.239016i
289289 10.4225 12.7652i 0.613086 0.750894i
290290 −17.2750 12.9813i −1.01442 0.762289i
291291 12.5829 + 1.52784i 0.737620 + 0.0895633i
292292 −2.04760 6.13332i −0.119827 0.358926i
293293 0.0659441 + 0.816865i 0.00385250 + 0.0477218i 0.998398 0.0565826i 0.0180204π-0.0180204\pi
−0.994545 + 0.104304i 0.966738π0.966738\pi
294294 −0.480828 + 0.542742i −0.0280425 + 0.0316534i
295295 −22.0752 + 13.9595i −1.28527 + 0.812753i
296296 −1.52280 + 0.648806i −0.0885111 + 0.0377111i
297297 −0.368284 2.26614i −0.0213700 0.131495i
298298 19.4960 17.2720i 1.12938 1.00054i
299299 1.48993 1.76601i 0.0861650 0.102131i
300300 −3.92670 3.47875i −0.226708 0.200846i
301301 13.5013 21.3505i 0.778200 1.23063i
302302 −19.1577 1.54657i −1.10240 0.0889952i
303303 −3.70384 18.1426i −0.212780 1.04227i
304304 2.01991 + 8.19509i 0.115850 + 0.470020i
305305 −2.18358 + 13.4361i −0.125032 + 0.769350i
306306 −0.701519 1.10936i −0.0401031 0.0634180i
307307 −4.42622 8.43345i −0.252617 0.481322i 0.725815 0.687890i 0.241463π-0.241463\pi
−0.978432 + 0.206568i 0.933771π0.933771\pi
308308 −2.27722 + 7.86188i −0.129757 + 0.447972i
309309 −0.220528 + 1.08022i −0.0125454 + 0.0614515i
310310 41.7004 1.68047i 2.36842 0.0954443i
311311 10.4350 5.47669i 0.591712 0.310555i −0.142158 0.989844i 0.545404π-0.545404\pi
0.733870 + 0.679289i 0.237712π0.237712\pi
312312 0.436411 4.50104i 0.0247069 0.254821i
313313 −13.3259 6.99396i −0.753223 0.395322i 0.0439804 0.999032i 0.485996π-0.485996\pi
−0.797204 + 0.603710i 0.793688π0.793688\pi
314314 −7.09743 3.36777i −0.400531 0.190054i
315315 4.08059 + 7.06779i 0.229915 + 0.398225i
316316 −4.59631 + 7.96104i −0.258562 + 0.447843i
317317 −21.0121 + 14.5036i −1.18016 + 0.814605i −0.986062 0.166377i 0.946793π-0.946793\pi
−0.194097 + 0.980982i 0.562178π0.562178\pi
318318 −14.0728 + 18.7274i −0.789161 + 1.05018i
319319 7.86989 + 4.54368i 0.440629 + 0.254397i
320320 −5.54832 + 0.673688i −0.310161 + 0.0376603i
321321 2.85155 + 6.00951i 0.159158 + 0.335418i
322322 2.19704 + 2.28736i 0.122436 + 0.127470i
323323 0.0999153 1.23767i 0.00555944 0.0688660i
324324 1.27261 0.313669i 0.0707003 0.0174261i
325325 −1.96992 + 14.2960i −0.109272 + 0.793002i
326326 10.1495 + 2.50163i 0.562130 + 0.138553i
327327 2.71047 8.11886i 0.149889 0.448974i
328328 4.93797 10.4066i 0.272654 0.574606i
329329 2.04541 0.682858i 0.112767 0.0376472i
330330 10.3152 + 7.12010i 0.567836 + 0.391949i
331331 2.55068 1.21031i 0.140198 0.0665247i −0.357301 0.933989i 0.616303π-0.616303\pi
0.497499 + 0.867464i 0.334252π0.334252\pi
332332 −3.55015 0.143066i −0.194840 0.00785178i
333333 −0.315838 + 1.28140i −0.0173078 + 0.0702205i
334334 −37.5816 16.0120i −2.05637 0.876139i
335335 1.02117 0.165956i 0.0557923 0.00906712i
336336 13.0680 + 2.66785i 0.712917 + 0.145543i
337337 22.0758 1.20254 0.601272 0.799044i 0.294661π-0.294661\pi
0.601272 + 0.799044i 0.294661π0.294661\pi
338338 20.8551 11.1612i 1.13437 0.607091i
339339 14.9869 0.813979
340340 2.77955 + 0.567449i 0.150742 + 0.0307743i
341341 −17.3237 + 2.81537i −0.938129 + 0.152461i
342342 2.88134 + 1.22762i 0.155805 + 0.0663823i
343343 4.29720 17.4344i 0.232027 0.941370i
344344 −11.6387 0.469022i −0.627514 0.0252880i
345345 1.73713 0.824276i 0.0935237 0.0443775i
346346 0.578603 + 0.399381i 0.0311059 + 0.0214709i
347347 21.9584 7.33080i 1.17879 0.393538i 0.341281 0.939961i 0.389139π-0.389139\pi
0.837509 + 0.546424i 0.184011π0.184011\pi
348348 −2.22401 + 4.68700i −0.119219 + 0.251250i
349349 −9.11816 + 27.3122i −0.488084 + 1.46199i 0.360415 + 0.932792i 0.382635π0.382635\pi
−0.848499 + 0.529197i 0.822493π0.822493\pi
350350 −19.2333 4.74058i −1.02806 0.253394i
351351 −2.65995 2.43407i −0.141977 0.129921i
352352 14.2969 3.52387i 0.762027 0.187823i
353353 0.174838 2.16576i 0.00930569 0.115272i −0.990437 0.137968i 0.955943π-0.955943\pi
0.999742 + 0.0226961i 0.00722502π0.00722502\pi
354354 10.9721 + 11.4231i 0.583159 + 0.607133i
355355 3.18228 + 6.70651i 0.168898 + 0.355944i
356356 15.7845 1.91659i 0.836578 0.101579i
357357 −1.69927 0.981074i −0.0899349 0.0519240i
358358 −1.29427 + 1.72237i −0.0684045 + 0.0910298i
359359 −3.98056 + 2.74758i −0.210086 + 0.145012i −0.668461 0.743747i 0.733047π-0.733047\pi
0.458376 + 0.888759i 0.348431π0.348431\pi
360360 1.88158 3.25900i 0.0991682 0.171764i
361361 −8.01856 13.8886i −0.422030 0.730977i
362362 37.3475 + 17.7216i 1.96294 + 0.931428i
363363 5.07274 + 2.66238i 0.266250 + 0.139739i
364364 4.84735 + 11.9052i 0.254070 + 0.624001i
365365 −13.1066 + 6.87886i −0.686029 + 0.360056i
366366 8.24823 0.332392i 0.431142 0.0173744i
367367 −5.18184 + 25.3823i −0.270490 + 1.32495i 0.586641 + 0.809847i 0.300450π0.300450\pi
−0.857131 + 0.515099i 0.827755π0.827755\pi
368368 0.874246 3.01825i 0.0455732 0.157337i
369369 −4.26800 8.13199i −0.222183 0.423335i
370370 −3.85082 6.08958i −0.200195 0.316582i
371371 −5.61744 + 34.5655i −0.291643 + 1.79455i
372372 −2.39786 9.72851i −0.124323 0.504400i
373373 5.58719 + 27.3679i 0.289294 + 1.41706i 0.821388 + 0.570370i 0.193200π0.193200\pi
−0.532094 + 0.846685i 0.678595π0.678595\pi
374374 −3.00370 0.242484i −0.155318 0.0125385i
375375 1.59965 2.52965i 0.0826056 0.130630i
376376 −0.744260 0.659357i −0.0383823 0.0340037i
377377 14.1215 2.06216i 0.727292 0.106207i
378378 3.70450 3.28190i 0.190539 0.168803i
379379 3.42932 + 21.1014i 0.176152 + 1.08391i 0.913033 + 0.407886i 0.133734π0.133734\pi
−0.736881 + 0.676023i 0.763702π0.763702\pi
380380 −6.22754 + 2.65331i −0.319466 + 0.136112i
381381 12.1812 7.70291i 0.624061 0.394632i
382382 −29.1765 + 32.9334i −1.49280 + 1.68502i
383383 0.173502 + 2.14921i 0.00886553 + 0.109819i 0.999676 0.0254347i 0.00809700π-0.00809700\pi
−0.990811 + 0.135254i 0.956815π0.956815\pi
384384 −2.98865 8.95210i −0.152514 0.456835i
385385 18.6004 + 2.25850i 0.947966 + 0.115104i
386386 −14.2814 10.7318i −0.726904 0.546233i
387387 −5.87362 + 7.19387i −0.298573 + 0.365685i
388388 12.8688 + 10.5071i 0.653315 + 0.533415i
389389 −11.9709 17.3429i −0.606950 0.879320i 0.392227 0.919868i 0.371705π-0.371705\pi
−0.999178 + 0.0405488i 0.987089π0.987089\pi
390390 19.6431 1.26778i 0.994665 0.0641967i
391391 −0.262605 + 0.380449i −0.0132805 + 0.0192402i
392392 0.480081 0.139057i 0.0242478 0.00702345i
393393 17.1819 + 10.8652i 0.866714 + 0.548076i
394394 14.8023 + 2.40561i 0.745729 + 0.121193i
395395 19.6761 + 7.46215i 0.990010 + 0.375461i
396396 1.17950 2.76839i 0.0592721 0.139117i
397397 −23.5551 22.6250i −1.18220 1.13551i −0.987984 0.154555i 0.950606π-0.950606\pi
−0.194211 0.980960i 0.562215π-0.562215\pi
398398 −11.7669 + 22.4200i −0.589822 + 1.12381i
399399 4.66679 0.376742i 0.233632 0.0188607i
400400 5.46030 + 18.8511i 0.273015 + 0.942557i
401401 −23.4183 + 22.4936i −1.16945 + 1.12328i −0.179228 + 0.983808i 0.557360π0.557360\pi
−0.990226 + 0.139469i 0.955460π0.955460\pi
402402 −0.222474 0.586617i −0.0110960 0.0292578i
403403 −18.6074 + 20.3341i −0.926899 + 1.01291i
404404 8.60621 22.6927i 0.428175 1.12900i
405405 −1.17606 2.76032i −0.0584390 0.137161i
406406 0.788786 + 19.5735i 0.0391468 + 0.971418i
407407 1.91630 + 2.34704i 0.0949876 + 0.116339i
408408 0.904758i 0.0447922i
409409 −21.1050 + 17.2317i −1.04357 + 0.852051i −0.989215 0.146470i 0.953209π-0.953209\pi
−0.0543583 + 0.998521i 0.517311π0.517311\pi
410410 48.1588 + 13.9494i 2.37840 + 0.688911i
411411 4.76402 + 5.37747i 0.234992 + 0.265251i
412412 −1.00101 + 1.04217i −0.0493164 + 0.0513438i
413413 22.4592 + 7.49799i 1.10515 + 0.368952i
414414 −0.700476 0.932165i −0.0344265 0.0458134i
415415 0.980390 + 8.07423i 0.0481254 + 0.396349i
416416 14.1877 18.2606i 0.695610 0.895301i
417417 −1.65396 + 13.6216i −0.0809948 + 0.667053i
418418 6.22723 3.59529i 0.304584 0.175851i
419419 14.4011 10.8218i 0.703542 0.528677i −0.187688 0.982229i 0.560100π-0.560100\pi
0.891230 + 0.453551i 0.149843π0.149843\pi
420420 −0.430717 + 10.6881i −0.0210168 + 0.521527i
421421 4.71808 1.78933i 0.229945 0.0872067i −0.236941 0.971524i 0.576145π-0.576145\pi
0.466886 + 0.884317i 0.345376π0.345376\pi
422422 13.4861 2.75320i 0.656492 0.134024i
423423 −0.776761 + 0.158577i −0.0377674 + 0.00771027i
424424 15.0981 5.72597i 0.733230 0.278078i
425425 0.116259 2.88493i 0.00563938 0.139940i
426426 3.59880 2.70432i 0.174362 0.131025i
427427 10.6870 6.17015i 0.517181 0.298595i
428428 −1.05088 + 8.65480i −0.0507964 + 0.418346i
429429 −8.13621 + 1.52498i −0.392820 + 0.0736269i
430430 −6.11142 50.3321i −0.294719 2.42723i
431431 −1.60306 2.13329i −0.0772168 0.102757i 0.759182 0.650879i 0.225599π-0.225599\pi
−0.836398 + 0.548122i 0.815343π0.815343\pi
432432 −4.65112 1.55277i −0.223777 0.0747078i
433433 −17.9231 + 18.6600i −0.861331 + 0.896741i −0.995552 0.0942105i 0.969967π-0.969967\pi
0.134221 + 0.990951i 0.457147π0.457147\pi
434434 −25.0887 28.3193i −1.20430 1.35937i
435435 11.4071 + 3.30412i 0.546930 + 0.158420i
436436 8.69004 7.09520i 0.416177 0.339798i
437437 1.10307i 0.0527669i
438438 5.67706 + 6.95314i 0.271261 + 0.332234i
439439 −0.527519 13.0903i −0.0251771 0.624764i −0.961691 0.274134i 0.911609π-0.911609\pi
0.936514 0.350629i 0.114032π-0.114032\pi
440440 −3.38650 7.94840i −0.161445 0.378925i
441441 0.141313 0.372611i 0.00672917 0.0177434i
442442 −3.93756 + 2.62531i −0.187290 + 0.124873i
443443 12.6460 + 33.3449i 0.600831 + 1.58426i 0.797189 + 0.603730i 0.206319π0.206319\pi
−0.196358 + 0.980532i 0.562911π0.562911\pi
444444 −1.24753 + 1.19827i −0.0592051 + 0.0568673i
445445 −10.1268 34.9619i −0.480058 1.65735i
446446 −19.3584 + 1.56277i −0.916645 + 0.0739992i
447447 −6.65248 + 12.6752i −0.314651 + 0.599518i
448448 3.65416 + 3.50987i 0.172643 + 0.165826i
449449 13.4540 31.5776i 0.634931 1.49024i −0.222127 0.975018i 0.571300π-0.571300\pi
0.857058 0.515220i 0.172290π-0.172290\pi
450450 6.80937 + 2.58245i 0.320997 + 0.121738i
451451 −20.8122 3.38231i −0.980007 0.159267i
452452 16.6023 + 10.4987i 0.780906 + 0.493815i
453453 10.1461 2.93886i 0.476707 0.138080i
454454 6.94926 10.0677i 0.326145 0.472502i
455455 25.1202 15.3245i 1.17765 0.718422i
456456 −1.22639 1.77673i −0.0574308 0.0832029i
457457 27.5282 + 22.4761i 1.28772 + 1.05139i 0.995473 + 0.0950445i 0.0302993π0.0302993\pi
0.292244 + 0.956344i 0.405598π0.405598\pi
458458 −21.3729 + 26.1771i −0.998692 + 1.22318i
459459 0.576696 + 0.433359i 0.0269179 + 0.0202275i
460460 2.50178 + 0.303771i 0.116646 + 0.0141634i
461461 −4.75606 14.2461i −0.221512 0.663508i −0.999384 0.0350863i 0.988829π-0.988829\pi
0.777873 0.628422i 0.216299π-0.216299\pi
462462 −0.914313 11.3258i −0.0425377 0.526924i
463463 2.12382 2.39729i 0.0987021 0.111412i −0.697084 0.716990i 0.745520π-0.745520\pi
0.795786 + 0.605578i 0.207058π0.207058\pi
464464 16.4039 10.3732i 0.761533 0.481565i
465465 −21.1014 + 8.99047i −0.978555 + 0.416923i
466466 0.554389 + 3.41129i 0.0256816 + 0.158025i
467467 4.10051 3.63273i 0.189749 0.168103i −0.562900 0.826525i 0.690314π-0.690314\pi
0.752649 + 0.658422i 0.228776π0.228776\pi
468468 −1.24153 4.55977i −0.0573899 0.210775i
469469 −0.702015 0.621931i −0.0324160 0.0287181i
470470 2.31321 3.65804i 0.106700 0.168733i
471471 4.30355 + 0.347418i 0.198297 + 0.0160082i
472472 −2.18387 10.6973i −0.100521 0.492384i
473473 5.10272 + 20.7025i 0.234623 + 0.951904i
474474 2.04707 12.5961i 0.0940250 0.578559i
475475 3.68218 + 5.82290i 0.168950 + 0.267173i
476476 −1.19516 2.27719i −0.0547802 0.104375i
477477 3.58192 12.3662i 0.164005 0.566211i
478478 1.47745 7.23701i 0.0675768 0.331013i
479479 −17.1845 + 0.692514i −0.785182 + 0.0316418i −0.429619 0.903010i 0.641352π-0.641352\pi
−0.355563 + 0.934652i 0.615711π0.615711\pi
480480 17.0392 8.94285i 0.777728 0.408183i
481481 4.64634 + 1.02676i 0.211855 + 0.0468160i
482482 −42.9843 22.5599i −1.95788 1.02757i
483483 −1.57479 0.747246i −0.0716554 0.0340009i
484484 3.75445 + 6.50290i 0.170657 + 0.295587i
485485 19.0155 32.9359i 0.863451 1.49554i
486486 −1.49744 + 1.03361i −0.0679255 + 0.0468856i
487487 −17.5223 + 23.3180i −0.794013 + 1.05664i 0.202982 + 0.979182i 0.434937π0.434937\pi
−0.996996 + 0.0774576i 0.975320π0.975320\pi
488488 −4.92785 2.84509i −0.223073 0.128791i
489489 −5.70315 + 0.692488i −0.257906 + 0.0313154i
490490 0.932658 + 1.96554i 0.0421332 + 0.0887939i
491491 12.2835 + 12.7885i 0.554347 + 0.577136i 0.938128 0.346288i 0.112558π-0.112558\pi
−0.383782 + 0.923424i 0.625378π0.625378\pi
492492 0.968604 11.9983i 0.0436680 0.540926i
493493 −2.77232 + 0.683315i −0.124859 + 0.0307750i
494494 4.17384 10.4928i 0.187790 0.472092i
495495 −6.68840 1.64854i −0.300621 0.0740965i
496496 −11.8703 + 35.5558i −0.532990 + 1.59650i
497497 2.88489 6.07977i 0.129405 0.272715i
498498 4.67856 1.56193i 0.209651 0.0699918i
499499 4.76209 + 3.28704i 0.213181 + 0.147148i 0.669870 0.742478i 0.266350π-0.266350\pi
−0.456690 + 0.889626i 0.650965π0.650965\pi
500500 3.54414 1.68171i 0.158499 0.0752085i
501501 22.4329 + 0.904014i 1.00223 + 0.0403884i
502502 4.13717 16.7852i 0.184651 0.749159i
503503 −24.9226 10.6185i −1.11124 0.473457i −0.243216 0.969972i 0.578202π-0.578202\pi
−0.868028 + 0.496515i 0.834613π0.834613\pi
504504 −3.36732 + 0.547242i −0.149992 + 0.0243761i
505505 −54.4353 11.1131i −2.42234 0.494524i
506506 −2.67703 −0.119009
507507 −8.54176 + 9.79991i −0.379353 + 0.435229i
508508 18.8902 0.838116
509509 13.5472 + 2.76568i 0.600469 + 0.122587i 0.490638 0.871363i 0.336764π-0.336764\pi
0.109831 + 0.993950i 0.464969π0.464969\pi
510510 −3.88722 + 0.631735i −0.172129 + 0.0279737i
511511 12.3450 + 5.25972i 0.546111 + 0.232676i
512512 4.58260 18.5923i 0.202524 0.821673i
513513 −1.71990 0.0693098i −0.0759357 0.00306010i
514514 −13.9849 + 6.63593i −0.616849 + 0.292698i
515515 2.72239 + 1.87913i 0.119963 + 0.0828045i
516516 −11.5462 + 3.85467i −0.508291 + 0.169692i
517517 −0.780275 + 1.64440i −0.0343165 + 0.0723204i
518518 −2.06837 + 6.19553i −0.0908790 + 0.272216i
519519 −0.375166 0.0924701i −0.0164680 0.00405899i
520520 −11.9110 6.49813i −0.522334 0.284962i
521521 19.3567 4.77100i 0.848033 0.209021i 0.208727 0.977974i 0.433068π-0.433068\pi
0.639306 + 0.768953i 0.279222π0.279222\pi
522522 0.579515 7.17858i 0.0253647 0.314198i
523523 −5.28839 5.50580i −0.231245 0.240752i 0.595463 0.803383i 0.296969π-0.296969\pi
−0.826708 + 0.562631i 0.809789π0.809789\pi
524524 11.4226 + 24.0726i 0.498998 + 1.05162i
525525 10.8074 1.31226i 0.471675 0.0572717i
526526 −13.3502 7.70775i −0.582097 0.336074i
527527 3.31284 4.40859i 0.144310 0.192041i
528528 −9.26495 + 6.39513i −0.403205 + 0.278312i
529529 11.2947 19.5629i 0.491072 0.850562i
530530 35.1433 + 60.8699i 1.52653 + 2.64402i
531531 −7.86454 3.73177i −0.341292 0.161945i
532532 5.43371 + 2.85183i 0.235581 + 0.123643i
533533 −28.9398 + 16.0927i −1.25352 + 0.697054i
534534 −19.5450 + 10.2580i −0.845794 + 0.443907i
535535 19.9417 0.803625i 0.862157 0.0347437i
536536 −0.0865037 + 0.423723i −0.00373639 + 0.0183020i
537537 0.329430 1.13732i 0.0142159 0.0490791i
538538 22.0168 + 41.9495i 0.949210 + 1.80857i
539539 −0.488995 0.773284i −0.0210625 0.0333077i
540540 0.630836 3.88169i 0.0271469 0.167041i
541541 0.692777 + 2.81071i 0.0297848 + 0.120842i 0.983952 0.178431i 0.0571021π-0.0571021\pi
−0.954168 + 0.299273i 0.903256π0.903256\pi
542542 6.94511 + 34.0194i 0.298318 + 1.46126i
543543 −22.6458 1.82816i −0.971824 0.0784538i
544544 −2.47275 + 3.91034i −0.106018 + 0.167655i
545545 −19.2229 17.0300i −0.823420 0.729487i
546546 −12.1525 13.0668i −0.520078 0.559209i
547547 −15.4499 + 13.6874i −0.660591 + 0.585232i −0.925365 0.379078i 0.876241π-0.876241\pi
0.264774 + 0.964311i 0.414703π0.414703\pi
548548 1.51048 + 9.29436i 0.0645246 + 0.397036i
549549 −4.17380 + 1.77829i −0.178134 + 0.0758956i
550550 14.1316 8.93626i 0.602572 0.381043i
551551 4.51794 5.09970i 0.192471 0.217255i
552552 0.0646746 + 0.801139i 0.00275274 + 0.0340987i
553553 −6.04108 18.0952i −0.256893 0.769488i
554554 −50.1760 6.09247i −2.13178 0.258844i
555555 3.16564 + 2.37882i 0.134374 + 0.100975i
556556 −11.3744 + 13.9312i −0.482384 + 0.590813i
557557 −6.93443 5.66178i −0.293821 0.239897i 0.474056 0.880495i 0.342789π-0.342789\pi
−0.767877 + 0.640597i 0.778687π0.778687\pi
558558 7.90150 + 11.4473i 0.334497 + 0.484603i
559559 26.4422 + 20.5445i 1.11839 + 0.868938i
560560 22.7329 32.9343i 0.960639 1.39173i
561561 1.59079 0.460779i 0.0671633 0.0194541i
562562 37.7923 + 23.8984i 1.59417 + 1.00809i
563563 21.8755 + 3.55511i 0.921942 + 0.149830i 0.602814 0.797882i 0.294046π-0.294046\pi
0.319128 + 0.947712i 0.396610π0.396610\pi
564564 −0.971569 0.368468i −0.0409104 0.0155153i
565565 17.6256 41.3687i 0.741513 1.74040i
566566 21.2040 + 20.3668i 0.891273 + 0.856079i
567567 −1.26406 + 2.40846i −0.0530854 + 0.101146i
568568 −3.09295 + 0.249689i −0.129777 + 0.0104767i
569569 −2.78469 9.61385i −0.116740 0.403034i 0.880771 0.473542i 0.157025π-0.157025\pi
−0.997511 + 0.0705087i 0.977538π0.977538\pi
570570 6.77726 6.50965i 0.283868 0.272659i
571571 −14.6477 38.6227i −0.612986 1.61631i −0.776749 0.629811i 0.783133π-0.783133\pi
0.163763 0.986500i 0.447637π-0.447637\pi
572572 −10.0814 4.01023i −0.421526 0.167676i
573573 8.57481 22.6099i 0.358218 0.944542i
574574 −17.8160 41.8157i −0.743626 1.74535i
575575 −0.103279 2.56284i −0.00430703 0.106878i
576576 −1.17810 1.44291i −0.0490875 0.0601212i
577577 20.3014i 0.845157i 0.906326 + 0.422578i 0.138875π0.138875\pi
−0.906326 + 0.422578i 0.861125π0.861125\pi
578578 −23.2267 + 18.9640i −0.966102 + 0.788798i
579579 9.43039 + 2.73155i 0.391914 + 0.113519i
580580 10.3220 + 11.6512i 0.428599 + 0.483789i
581581 5.10777 5.31775i 0.211906 0.220617i
582582 −21.8762 7.30333i −0.906796 0.302733i
583583 −17.7569 23.6302i −0.735417 0.978662i
584584 −0.745818 6.14237i −0.0308622 0.254173i
585585 −9.84706 + 4.47969i −0.407126 + 0.185212i
586586 0.179738 1.48027i 0.00742490 0.0611495i
587587 −25.6650 + 14.8177i −1.05931 + 0.611592i −0.925241 0.379380i 0.876137π-0.876137\pi
−0.134067 + 0.990972i 0.542804π0.542804\pi
588588 0.417565 0.313780i 0.0172201 0.0129401i
589589 −0.529843 + 13.1479i −0.0218318 + 0.541750i
590590 44.4353 16.8521i 1.82937 0.693790i
591591 −8.07539 + 1.64860i −0.332177 + 0.0678145i
592592 6.34059 1.29444i 0.260597 0.0532012i
593593 26.4892 10.0460i 1.08778 0.412542i 0.255452 0.966822i 0.417776π-0.417776\pi
0.832330 + 0.554280i 0.187006π0.187006\pi
594594 −0.168207 + 4.17403i −0.00690164 + 0.171262i
595595 −4.70652 + 3.53672i −0.192949 + 0.144991i
596596 −16.2488 + 9.38123i −0.665575 + 0.384270i
597597 1.67737 13.8144i 0.0686501 0.565384i
598598 −3.29894 + 2.60611i −0.134904 + 0.106572i
599599 4.29777 + 35.3953i 0.175602 + 1.44621i 0.767939 + 0.640524i 0.221283π0.221283\pi
−0.592336 + 0.805691i 0.701794π0.701794\pi
600600 −3.01571 4.01318i −0.123116 0.163837i
601601 −15.6027 5.20895i −0.636448 0.212477i −0.0199086 0.999802i 0.506338π-0.506338\pi
−0.616539 + 0.787324i 0.711466π0.711466\pi
602602 −31.8401 + 33.1491i −1.29771 + 1.35105i
603603 0.228649 + 0.258092i 0.00931132 + 0.0105103i
604604 13.2985 + 3.85195i 0.541107 + 0.156733i
605605 13.3149 10.8713i 0.541327 0.441980i
606606 33.6919i 1.36864i
607607 −28.5532 34.9713i −1.15894 1.41944i −0.889806 0.456340i 0.849160π-0.849160\pi
−0.269134 0.963103i 0.586737π-0.586737\pi
608608 −0.444524 11.0307i −0.0180278 0.447356i
609609 −4.21999 9.90467i −0.171002 0.401358i
610610 8.78292 23.1587i 0.355610 0.937667i
611611 0.639288 + 2.78601i 0.0258628 + 0.112710i
612612 0.335278 + 0.884056i 0.0135528 + 0.0357358i
613613 5.54778 5.32871i 0.224073 0.215225i −0.572278 0.820059i 0.693940π-0.693940\pi
0.796351 + 0.604835i 0.206761π0.206761\pi
614614 4.82150 + 16.6457i 0.194580 + 0.671767i
615615 −27.4663 + 2.21731i −1.10755 + 0.0894106i
616616 −3.63988 + 6.93521i −0.146655 + 0.279428i
617617 −12.5786 12.0819i −0.506394 0.486398i 0.395434 0.918495i 0.370594π-0.370594\pi
−0.901827 + 0.432097i 0.857774π0.857774\pi
618618 0.786298 1.84551i 0.0316295 0.0742373i
619619 7.81132 + 2.96244i 0.313963 + 0.119071i 0.506553 0.862209i 0.330919π-0.330919\pi
−0.192590 + 0.981279i 0.561689π0.561689\pi
620620 −29.6738 4.82246i −1.19173 0.193675i
621621 0.541627 + 0.342504i 0.0217347 + 0.0137442i
622622 −20.5963 + 5.96578i −0.825835 + 0.239206i
623623 −18.7447 + 27.1564i −0.750991 + 1.08800i
624624 −5.19160 + 16.9003i −0.207830 + 0.676553i
625625 −16.4697 23.8604i −0.658786 0.954417i
626626 21.2114 + 17.3185i 0.847777 + 0.692188i
627627 −2.49935 + 3.06115i −0.0998146 + 0.122251i
628628 4.52403 + 3.39959i 0.180528 + 0.135658i
629629 −0.945093 0.114755i −0.0376833 0.00457558i
630630 −4.70237 14.0853i −0.187347 0.561172i
631631 1.13250 + 14.0285i 0.0450841 + 0.558466i 0.979388 + 0.201989i 0.0647404π0.0647404\pi
−0.934304 + 0.356478i 0.883978π0.883978\pi
632632 −5.83317 + 6.58429i −0.232031 + 0.261909i
633633 −6.39362 + 4.04308i −0.254124 + 0.160698i
634634 42.7382 18.2091i 1.69735 0.723174i
635635 −6.93667 42.6830i −0.275273 1.69382i
636636 12.6308 11.1899i 0.500843 0.443708i
637637 −1.35539 0.476886i −0.0537026 0.0188949i
638638 −12.3764 10.9646i −0.489988 0.434091i
639639 −1.32230 + 2.09105i −0.0523095 + 0.0827209i
640640 −28.2255 2.27860i −1.11571 0.0900694i
641641 −1.29648 6.35059i −0.0512080 0.250833i 0.946127 0.323797i 0.104959π-0.104959\pi
−0.997335 + 0.0729636i 0.976754π0.976754\pi
642642 −2.89644 11.7513i −0.114314 0.463788i
643643 −6.07386 + 37.3739i −0.239529 + 1.47388i 0.536882 + 0.843657i 0.319602π0.319602\pi
−0.776411 + 0.630227i 0.782962π0.782962\pi
644644 −1.22106 1.93096i −0.0481167 0.0760904i
645645 12.9496 + 24.6735i 0.509892 + 0.971518i
646646 −0.628580 + 2.17011i −0.0247311 + 0.0853818i
647647 −2.76876 + 13.5623i −0.108851 + 0.533189i 0.888398 + 0.459073i 0.151819π0.151819\pi
−0.997250 + 0.0741157i 0.976387π0.976387\pi
648648 1.25320 0.0505022i 0.0492303 0.00198391i
649649 −17.6964 + 9.28777i −0.694643 + 0.364577i
650650 8.71498 24.7694i 0.341830 0.971537i
651651 18.4116 + 9.66315i 0.721608 + 0.378729i
652652 −6.80296 3.22805i −0.266425 0.126420i
653653 22.9380 + 39.7298i 0.897634 + 1.55475i 0.830510 + 0.557003i 0.188049π0.188049\pi
0.0671240 + 0.997745i 0.478618π0.478618\pi
654654 −7.78700 + 13.4875i −0.304496 + 0.527402i
655655 50.1984 34.6494i 1.96141 1.35387i
656656 −27.0534 + 36.0015i −1.05626 + 1.40562i
657657 −4.27240 2.46667i −0.166682 0.0962340i
658658 −3.89500 + 0.472938i −0.151843 + 0.0184371i
659659 −21.8902 46.1326i −0.852722 1.79707i −0.520462 0.853885i 0.674240π-0.674240\pi
−0.332260 0.943188i 0.607811π-0.607811\pi
660660 −6.25446 6.51159i −0.243455 0.253463i
661661 0.109086 1.35127i 0.00424295 0.0525584i −0.994289 0.106718i 0.965966π-0.965966\pi
0.998532 + 0.0541594i 0.0172479π0.0172479\pi
662662 −4.98774 + 1.22937i −0.193854 + 0.0477807i
663663 1.51178 2.11647i 0.0587127 0.0821969i
664664 −3.30114 0.813659i −0.128109 0.0315761i
665665 4.44850 13.3249i 0.172506 0.516717i
666666 1.02943 2.16948i 0.0398897 0.0840658i
667667 −2.40597 + 0.803230i −0.0931595 + 0.0311012i
668668 24.2175 + 16.7161i 0.937004 + 0.646767i
669669 9.64326 4.57578i 0.372830 0.176910i
670670 −1.88089 0.0757974i −0.0726652 0.00292831i
671671 −2.49272 + 10.1134i −0.0962303 + 0.390422i
672672 −16.0491 6.83788i −0.619108 0.263777i
673673 19.4856 3.16672i 0.751115 0.122068i 0.227211 0.973845i 0.427039π-0.427039\pi
0.523904 + 0.851777i 0.324475π0.324475\pi
674674 −39.3558 8.03454i −1.51593 0.309479i
675675 −4.00247 −0.154055
676676 −16.3275 + 4.87251i −0.627979 + 0.187404i
677677 40.4891 1.55612 0.778061 0.628188i 0.216203π-0.216203\pi
0.778061 + 0.628188i 0.216203π0.216203\pi
678678 −26.7181 5.45454i −1.02610 0.209480i
679679 −34.0305 + 5.53050i −1.30597 + 0.212241i
680680 2.49742 + 1.06405i 0.0957717 + 0.0408045i
681681 −1.60899 + 6.52791i −0.0616565 + 0.250150i
682682 31.9086 + 1.28587i 1.22184 + 0.0492386i
683683 17.1947 8.15899i 0.657937 0.312195i −0.0702944 0.997526i 0.522394π-0.522394\pi
0.728231 + 0.685331i 0.240343π0.240343\pi
684684 −1.85673 1.28161i −0.0709938 0.0490035i
685685 20.4463 6.82598i 0.781213 0.260807i
686686 −14.0062 + 29.5174i −0.534758 + 1.12698i
687687 5.88147 17.6172i 0.224392 0.672136i
688688 44.2160 + 10.8983i 1.68572 + 0.415492i
689689 −44.8862 11.8333i −1.71003 0.450811i
690690 −3.39687 + 0.837254i −0.129317 + 0.0318737i
691691 −1.80321 + 22.3368i −0.0685974 + 0.849731i 0.867374 + 0.497656i 0.165806π0.165806\pi
−0.935972 + 0.352075i 0.885476π0.885476\pi
692692 −0.350826 0.365248i −0.0133364 0.0138847i
693693 2.67711 + 5.64189i 0.101695 + 0.214318i
694694 −41.8146 + 5.07722i −1.58726 + 0.192728i
695695 35.6548 + 20.5853i 1.35246 + 0.780845i
696696 −2.98230 + 3.96872i −0.113044 + 0.150434i
697697 5.45232 3.76346i 0.206521 0.142551i
698698 26.1958 45.3725i 0.991527 1.71738i
699699 −0.949708 1.64494i −0.0359213 0.0622175i
700700 12.8916 + 6.11712i 0.487255 + 0.231206i
701701 4.56882 + 2.39790i 0.172562 + 0.0905674i 0.548793 0.835959i 0.315088π-0.315088\pi
−0.376231 + 0.926526i 0.622780π0.622780\pi
702702 3.85616 + 5.30745i 0.145541 + 0.200317i
703703 2.01148 1.05571i 0.0758646 0.0398168i
704704 −4.27321 + 0.172205i −0.161053 + 0.00649020i
705705 −0.475796 + 2.33060i −0.0179195 + 0.0877756i
706706 −1.09993 + 3.79739i −0.0413963 + 0.142917i
707707 23.4063 + 44.5970i 0.880285 + 1.67724i
708708 −6.09803 9.64326i −0.229178 0.362416i
709709 5.29932 32.6080i 0.199020 1.22462i −0.674663 0.738126i 0.735711π-0.735711\pi
0.873683 0.486495i 0.161725π-0.161725\pi
710710 −3.23238 13.1143i −0.121309 0.492170i
711711 1.40289 + 6.87182i 0.0526125 + 0.257713i
712712 15.1660 + 1.22433i 0.568370 + 0.0458835i
713713 2.61829 4.14050i 0.0980559 0.155063i
714714 2.67233 + 2.36747i 0.100009 + 0.0886005i
715715 −5.35924 + 24.2520i −0.200424 + 0.906973i
716716 1.16165 1.02914i 0.0434131 0.0384606i
717717 0.651180 + 4.00687i 0.0243188 + 0.149639i
718718 8.09636 3.44954i 0.302154 0.128736i
719719 20.4374 12.9238i 0.762185 0.481977i −0.0959593 0.995385i 0.530592π-0.530592\pi
0.858144 + 0.513409i 0.171617π0.171617\pi
720720 −9.75615 + 11.0124i −0.363590 + 0.410408i
721721 −0.241305 2.98910i −0.00898667 0.111320i
722722 9.24038 + 27.6783i 0.343892 + 1.03008i
723723 26.4853 + 3.21590i 0.984999 + 0.119601i
724724 −23.8060 17.8890i −0.884743 0.664841i
725725 10.0194 12.2715i 0.372111 0.455753i
726726 −8.07450 6.59263i −0.299673 0.244675i
727727 −5.43760 7.87772i −0.201669 0.292168i 0.709080 0.705128i 0.249110π-0.249110\pi
−0.910749 + 0.412960i 0.864495π0.864495\pi
728728 2.26601 + 12.0898i 0.0839840 + 0.448077i
729729 0.568065 0.822984i 0.0210394 0.0304809i
730730 25.8694 7.49318i 0.957471 0.277335i
731731 −5.66235 3.58065i −0.209430 0.132435i
732732 −5.86940 0.953871i −0.216939 0.0352561i
733733 −44.6184 16.9215i −1.64802 0.625011i −0.656424 0.754392i 0.727932π-0.727932\pi
−0.991595 + 0.129381i 0.958701π0.958701\pi
734734 18.4759 43.3646i 0.681959 1.60062i
735735 −0.862332 0.828281i −0.0318076 0.0305516i
736736 −1.91003 + 3.63926i −0.0704047 + 0.134145i
737737 0.789066 0.0637000i 0.0290656 0.00234642i
738738 4.64915 + 16.0507i 0.171138 + 0.590836i
739739 −19.8914 + 19.1060i −0.731717 + 0.702824i −0.962832 0.270103i 0.912942π-0.912942\pi
0.231114 + 0.972927i 0.425763π0.425763\pi
740740 1.84043 + 4.85281i 0.0676555 + 0.178393i
741741 −0.0999291 + 6.20543i −0.00367099 + 0.227962i
742742 22.5948 59.5775i 0.829480 2.18716i
743743 17.3416 + 40.7022i 0.636201 + 1.49322i 0.855629 + 0.517589i 0.173170π0.173170\pi
−0.219429 + 0.975629i 0.570419π0.570419\pi
744744 −0.386067 9.58016i −0.0141539 0.351226i
745745 27.1640 + 33.2698i 0.995210 + 1.21891i
746746 50.8238i 1.86079i
747747 −2.09980 + 1.71444i −0.0768278 + 0.0627280i
748748 2.08504 + 0.603939i 0.0762366 + 0.0220822i
749749 −11.9978 13.5427i −0.438389 0.494839i
750750 −3.77246 + 3.92755i −0.137751 + 0.143414i
751751 44.5623 + 14.8771i 1.62610 + 0.542872i 0.976149 0.217103i 0.0696607π-0.0696607\pi
0.649952 + 0.759975i 0.274789π0.274789\pi
752752 2.33532 + 3.10774i 0.0851602 + 0.113328i
753753 1.14523 + 9.43181i 0.0417345 + 0.343714i
754754 −25.9257 1.46321i −0.944158 0.0532871i
755755 3.82028 31.4628i 0.139034 1.14505i
756756 −3.08747 + 1.78255i −0.112290 + 0.0648309i
757757 −5.49280 + 4.12757i −0.199639 + 0.150019i −0.695861 0.718177i 0.744977π-0.744977\pi
0.496221 + 0.868196i 0.334720π0.334720\pi
758758 1.56628 38.8669i 0.0568900 1.41171i
759759 1.37567 0.521721i 0.0499335 0.0189373i
760760 −6.34664 + 1.29568i −0.230217 + 0.0469991i
761761 8.21180 1.67645i 0.297678 0.0607713i −0.0488655 0.998805i 0.515561π-0.515561\pi
0.346543 + 0.938034i 0.387355π0.387355\pi
762762 −24.5196 + 9.29906i −0.888252 + 0.336870i
763763 −0.937456 + 23.2627i −0.0339382 + 0.842167i
764764 25.3377 19.0401i 0.916687 0.688845i
765765 1.87444 1.08221i 0.0677705 0.0391273i
766766 0.472898 3.89466i 0.0170865 0.140720i
767767 −12.7657 + 28.6730i −0.460944 + 1.03532i
768768 2.51896 + 20.7455i 0.0908953 + 0.748590i
769769 6.93051 + 9.22283i 0.249920 + 0.332584i 0.906917 0.421310i 0.138430π-0.138430\pi
−0.656996 + 0.753894i 0.728173π0.728173\pi
770770 −32.3381 10.7960i −1.16538 0.389062i
771771 5.89328 6.13555i 0.212241 0.220966i
772772 8.53333 + 9.63214i 0.307121 + 0.346668i
773773 −38.9618 11.2854i −1.40136 0.405908i −0.510378 0.859950i 0.670494π-0.670494\pi
−0.890980 + 0.454042i 0.849982π0.849982\pi
774774 13.0895 10.6872i 0.470491 0.384144i
775775 30.5972i 1.09908i
776776 10.0543 + 12.3143i 0.360929 + 0.442058i
777777 −0.144545 3.58684i −0.00518552 0.128677i
778778 15.0293 + 35.2751i 0.538826 + 1.26467i
779779 −5.60572 + 14.7811i −0.200846 + 0.529587i
780780 −14.0465 1.93554i −0.502946 0.0693034i
781781 2.01421 + 5.31102i 0.0720739 + 0.190043i
782782 0.606628 0.582674i 0.0216930 0.0208364i
783783 1.10122 + 3.80185i 0.0393544 + 0.135867i
784784 −1.94773 + 0.157237i −0.0695619 + 0.00561562i
785785 6.02022 11.4706i 0.214871 0.409402i
786786 −26.6768 25.6234i −0.951531 0.913958i
787787 −1.87490 + 4.40054i −0.0668328 + 0.156862i −0.950046 0.312108i 0.898965π-0.898965\pi
0.883214 + 0.468971i 0.155375π0.155375\pi
788788 −10.1007 3.83068i −0.359821 0.136462i
789789 8.36252 + 1.35904i 0.297714 + 0.0483832i
790790 −32.3618 20.4644i −1.15138 0.728090i
791791 −39.1553 + 11.3415i −1.39220 + 0.403256i
792792 1.63576 2.36980i 0.0581241 0.0842072i
793793 6.77361 + 14.8895i 0.240538 + 0.528741i
794794 33.7586 + 48.9078i 1.19805 + 1.73567i
795795 −29.9222 24.4307i −1.06123 0.866467i
796796 11.5354 14.1283i 0.408862 0.500764i
797797 −37.6923 28.3239i −1.33513 1.00328i −0.998089 0.0617930i 0.980318π-0.980318\pi
−0.337039 0.941491i 0.609425π-0.609425\pi
798798 −8.45688 1.02685i −0.299370 0.0363501i
799799 −0.181100 0.542460i −0.00640685 0.0191909i
800800 −2.06559 25.5870i −0.0730297 0.904635i
801801 8.04457 9.08044i 0.284241 0.320842i
802802 49.9358 31.5775i 1.76330 1.11504i
803803 −10.4200 + 4.43954i −0.367714 + 0.156668i
804804 0.0724956 + 0.446083i 0.00255672 + 0.0157321i
805805 −3.91469 + 3.46811i −0.137975 + 0.122235i
806806 40.5731 29.4786i 1.42913 1.03834i
807807 −19.4894 17.2661i −0.686059 0.607795i
808808 12.4125 19.6288i 0.436670 0.690539i
809809 13.1325 + 1.06017i 0.461715 + 0.0372735i 0.309136 0.951018i 0.399960π-0.399960\pi
0.152579 + 0.988291i 0.451242π0.451242\pi
810810 1.09201 + 5.34901i 0.0383693 + 0.187945i
811811 3.99009 + 16.1884i 0.140111 + 0.568453i 0.998465 + 0.0553944i 0.0176416π0.0176416\pi
−0.858353 + 0.513059i 0.828512π0.828512\pi
812812 2.26359 13.9284i 0.0794364 0.488792i
813813 −10.1989 16.1283i −0.357692 0.565644i
814814 −2.56209 4.88166i −0.0898013 0.171102i
815815 −4.79577 + 16.5569i −0.167989 + 0.579964i
816816 0.707537 3.46575i 0.0247687 0.121325i
817817 15.9730 0.643691i 0.558825 0.0225199i
818818 43.8966 23.0387i 1.53481 0.805529i
819819 8.79145 + 4.34638i 0.307198 + 0.151875i
820820 −31.9800 16.7844i −1.11679 0.586137i
821821 29.7509 + 14.1170i 1.03831 + 0.492686i 0.870002 0.493048i 0.164117π-0.164117\pi
0.168311 + 0.985734i 0.446169π0.446169\pi
822822 −6.53596 11.3206i −0.227968 0.394852i
823823 24.3324 42.1449i 0.848174 1.46908i −0.0346628 0.999399i 0.511036π-0.511036\pi
0.882836 0.469681i 0.155631π-0.155631\pi
824824 −1.13800 + 0.785505i −0.0396441 + 0.0273644i
825825 −5.52033 + 7.34622i −0.192193 + 0.255763i
826826 −37.3105 21.5412i −1.29820 0.749515i
827827 −11.5878 + 1.40702i −0.402948 + 0.0489268i −0.319502 0.947586i 0.603516π-0.603516\pi
−0.0834460 + 0.996512i 0.526593π0.526593\pi
828828 0.360075 + 0.758841i 0.0125135 + 0.0263716i
829829 −0.545831 0.568270i −0.0189575 0.0197368i 0.711656 0.702528i 0.247945π-0.247945\pi
−0.730614 + 0.682791i 0.760766π0.760766\pi
830830 1.19084 14.7512i 0.0413347 0.512023i
831831 26.9717 6.64792i 0.935638 0.230614i
832832 −5.09829 + 4.37221i −0.176751 + 0.151579i
833833 0.279119 + 0.0687967i 0.00967090 + 0.00238366i
834834 7.90624 23.6821i 0.273771 0.820043i
835835 28.8778 60.8587i 0.999358 2.10610i
836836 −4.91314 + 1.64025i −0.169925 + 0.0567292i
837837 −6.29135 4.34261i −0.217461 0.150102i
838838 −29.6124 + 14.0512i −1.02294 + 0.485392i
839839 −36.3416 1.46452i −1.25465 0.0505607i −0.595985 0.802996i 0.703238π-0.703238\pi
−0.658667 + 0.752435i 0.728879π0.728879\pi
840840 −2.44961 + 9.93845i −0.0845195 + 0.342909i
841841 12.2663 + 5.22617i 0.422975 + 0.180213i
842842 −9.06243 + 1.47279i −0.312312 + 0.0507556i
843843 −24.0781 4.91558i −0.829294 0.169302i
844844 −9.91501 −0.341289
845845 17.0052 + 35.1033i 0.584998 + 1.20759i
846846 1.44249 0.0495939
847847 −15.2680 3.11698i −0.524614 0.107101i
848848 −62.3124 + 10.1267i −2.13982 + 0.347754i
849849 −14.8655 6.33361i −0.510184 0.217369i
850850 −1.25724 + 5.10083i −0.0431230 + 0.174957i
851851 −0.845058 0.0340547i −0.0289682 0.00116738i
852852 −2.92965 + 1.39014i −0.100368 + 0.0476253i
853853 −9.81580 6.77536i −0.336086 0.231984i 0.388053 0.921637i 0.373148π-0.373148\pi
−0.724140 + 0.689653i 0.757763π0.757763\pi
854854 −21.2980 + 7.11033i −0.728803 + 0.243310i
855855 −2.21403 + 4.66597i −0.0757183 + 0.159573i
856856 −2.64187 + 7.91336i −0.0902972 + 0.270473i
857857 5.69749 + 1.40430i 0.194622 + 0.0479701i 0.335422 0.942068i 0.391121π-0.391121\pi
−0.140799 + 0.990038i 0.544967π0.544967\pi
858858 15.0599 + 0.242517i 0.514137 + 0.00827941i
859859 −21.2538 + 5.23859i −0.725170 + 0.178738i −0.584587 0.811331i 0.698744π-0.698744\pi
−0.140582 + 0.990069i 0.544897π0.544897\pi
860860 −2.93887 + 36.4044i −0.100214 + 1.24138i
861861 17.3046 + 18.0160i 0.589741 + 0.613985i
862862 2.08146 + 4.38658i 0.0708947 + 0.149407i
863863 1.68907 0.205091i 0.0574967 0.00698136i −0.0917378 0.995783i 0.529242π-0.529242\pi
0.149234 + 0.988802i 0.452319π0.452319\pi
864864 5.55432 + 3.20679i 0.188962 + 0.109097i
865865 −0.696465 + 0.926827i −0.0236805 + 0.0315131i
866866 38.7440 26.7431i 1.31657 0.908766i
867867 8.23981 14.2718i 0.279839 0.484695i
868868 13.6268 + 23.6024i 0.462525 + 0.801117i
869869 14.5476 + 6.90291i 0.493493 + 0.234165i
870870 −19.1336 10.0421i −0.648691 0.340459i
871871 0.910363 0.846660i 0.0308465 0.0286880i
872872 9.50562 4.98893i 0.321901 0.168947i
873873 12.6650 0.510382i 0.428645 0.0172738i
874874 −0.401465 + 1.96651i −0.0135798 + 0.0665181i
875875 −2.26497 + 7.81957i −0.0765698 + 0.264350i
876876 −3.00494 5.72544i −0.101528 0.193445i
877877 10.3435 + 16.3569i 0.349275 + 0.552334i 0.973435 0.228962i 0.0735332π-0.0735332\pi
−0.624160 + 0.781296i 0.714559π0.714559\pi
878878 −3.82380 + 23.5288i −0.129047 + 0.794057i
879879 0.196125 + 0.795708i 0.00661512 + 0.0268386i
880880 6.75645 + 33.0953i 0.227760 + 1.11564i
881881 50.8460 + 4.10471i 1.71305 + 0.138291i 0.897678 0.440652i 0.145253π-0.145253\pi
0.815368 + 0.578943i 0.196535π0.196535\pi
882882 −0.387539 + 0.612844i −0.0130491 + 0.0206355i
883883 −27.8002 24.6288i −0.935550 0.828825i 0.0499059 0.998754i 0.484108π-0.484108\pi
−0.985456 + 0.169929i 0.945646π0.945646\pi
884884 3.15736 1.28556i 0.106193 0.0432380i
885885 −19.5501 + 17.3198i −0.657168 + 0.582200i
886886 −10.4089 64.0484i −0.349693 2.15175i
887887 −13.3378 + 5.68269i −0.447838 + 0.190806i −0.604098 0.796910i 0.706466π-0.706466\pi
0.156260 + 0.987716i 0.450056π0.450056\pi
888888 −1.39901 + 0.884678i −0.0469476 + 0.0296879i
889889 −25.9957 + 29.3430i −0.871867 + 0.984134i
890890 5.32923 + 66.0144i 0.178636 + 2.21281i
891891 −0.727030 2.17772i −0.0243564 0.0729564i
892892 13.8881 + 1.68632i 0.465007 + 0.0564621i
893893 1.09093 + 0.819783i 0.0365067 + 0.0274330i
894894 16.4730 20.1757i 0.550938 0.674776i
895895 −2.75194 2.24689i −0.0919874 0.0751053i
896896 14.5828 + 21.1268i 0.487177 + 0.705798i
897897 1.18735 1.98214i 0.0396445 0.0661819i
898898 −35.4779 + 51.3986i −1.18391 + 1.71519i
899899 29.0635 8.41835i 0.969322 0.280768i
900900 −4.43388 2.80381i −0.147796 0.0934604i
901901 9.16707 + 1.48979i 0.305399 + 0.0496322i
902902 35.8721 + 13.6045i 1.19441 + 0.452980i
903903 9.90156 23.2398i 0.329503 0.773373i
904904 13.5564 + 13.0211i 0.450878 + 0.433074i
905905 −31.6791 + 60.3596i −1.05305 + 2.00642i
906906 −19.1577 + 1.54657i −0.636473 + 0.0513814i
907907 4.91552 + 16.9703i 0.163217 + 0.563491i 0.999876 + 0.0157662i 0.00501876π0.00501876\pi
−0.836659 + 0.547725i 0.815494π0.815494\pi
908908 −6.35535 + 6.10439i −0.210910 + 0.202581i
909909 −6.56616 17.3135i −0.217786 0.574254i
910910 −50.3606 + 18.1773i −1.66944 + 0.602571i
911911 −15.7447 + 41.5155i −0.521646 + 1.37547i 0.372641 + 0.927976i 0.378452π0.378452\pi
−0.894287 + 0.447493i 0.852317π0.852317\pi
912912 3.30833 + 7.76495i 0.109550 + 0.257123i
913913 0.250602 + 6.21862i 0.00829371 + 0.205806i
914914 −40.8960 50.0885i −1.35272 1.65678i
915915 13.6124i 0.450012i
916916 18.8566 15.3959i 0.623039 0.508695i
917917 −53.1123 15.3842i −1.75392 0.508030i
918918 −0.870388 0.982465i −0.0287271 0.0324262i
919919 23.1263 24.0770i 0.762867 0.794228i −0.220591 0.975366i 0.570799π-0.570799\pi
0.983458 + 0.181138i 0.0579781π0.0579781\pi
920920 2.28746 + 0.763666i 0.0754153 + 0.0251773i
921921 −5.72172 7.61422i −0.188537 0.250897i
922922 3.29398 + 27.1284i 0.108482 + 0.893426i
923923 7.65245 + 4.58399i 0.251883 + 0.150884i
924924 −0.986598 + 8.12536i −0.0324567 + 0.267305i
925925 4.57459 2.64114i 0.150412 0.0868401i
926926 −4.65875 + 3.50083i −0.153096 + 0.115044i
927927 −0.0443932 + 1.10161i −0.00145806 + 0.0361815i
928928 −23.7361 + 9.00192i −0.779176 + 0.295503i
929929 26.0373 5.31556i 0.854257 0.174398i 0.247110 0.968987i 0.420519π-0.420519\pi
0.607147 + 0.794590i 0.292314π0.292314\pi
930930 40.8908 8.34793i 1.34086 0.273739i
931931 −0.641375 + 0.243242i −0.0210202 + 0.00797192i
932932 0.100244 2.48753i 0.00328360 0.0814818i
933933 9.42131 7.07965i 0.308440 0.231777i
934934 −8.63236 + 4.98390i −0.282460 + 0.163078i
935935 0.598974 4.93300i 0.0195885 0.161326i
936936 −0.291257 4.51275i −0.00952005 0.147504i
937937 −0.743853 6.12618i −0.0243006 0.200133i 0.975502 0.219989i 0.0706023π-0.0706023\pi
−0.999803 + 0.0198560i 0.993679π0.993679\pi
938938 1.02517 + 1.36425i 0.0334730 + 0.0445444i
939939 −14.2752 4.76577i −0.465854 0.155525i
940940 −2.15971 + 2.24850i −0.0704421 + 0.0733380i
941941 −22.7613 25.6922i −0.741996 0.837541i 0.249405 0.968399i 0.419765π-0.419765\pi
−0.991401 + 0.130859i 0.958227π0.958227\pi
942942 −7.54575 2.18565i −0.245854 0.0712124i
943943 4.55886 3.72219i 0.148457 0.121211i
944944 42.6847i 1.38927i
945945 5.16150 + 6.32169i 0.167904 + 0.205645i
946946 −1.56217 38.7648i −0.0507905 1.26035i
947947 −3.00348 7.04943i −0.0976000 0.229076i 0.864022 0.503455i 0.167938π-0.167938\pi
−0.961622 + 0.274379i 0.911528π0.911528\pi
948948 −3.25975 + 8.59524i −0.105872 + 0.279160i
949949 −8.51875 + 15.6148i −0.276530 + 0.506879i
950950 −4.44518 11.7210i −0.144221 0.380279i
951951 −18.4135 + 17.6864i −0.597099 + 0.573521i
952952 −0.684682 2.36380i −0.0221907 0.0766111i
953953 −27.1343 + 2.19051i −0.878966 + 0.0709575i −0.511706 0.859161i 0.670986π-0.670986\pi
−0.367260 + 0.930118i 0.619704π0.619704\pi
954954 −10.8864 + 20.7424i −0.352461 + 0.671558i
955955 −52.3260 50.2598i −1.69323 1.62637i
956956 −2.08553 + 4.89491i −0.0674508 + 0.158313i
957957 8.49683 + 3.22242i 0.274664 + 0.104166i
958958 30.8880 + 5.01978i 0.997944 + 0.162182i
959959 −16.5161 10.4441i −0.533331 0.337258i
960960 −5.36840 + 1.55498i −0.173265 + 0.0501867i
961961 −15.5873 + 22.5821i −0.502816 + 0.728455i
962962 −7.90962 3.52151i −0.255016 0.113538i
963963 3.77861 + 5.47427i 0.121764 + 0.176406i
964964 27.0872 + 22.1160i 0.872420 + 0.712309i
965965 18.6307 22.8184i 0.599742 0.734551i
966966 2.53551 + 1.90531i 0.0815786 + 0.0613023i
967967 −15.1727 1.84230i −0.487922 0.0592445i −0.127121 0.991887i 0.540574π-0.540574\pi
−0.360801 + 0.932643i 0.617497π0.617497\pi
968968 2.27537 + 6.81558i 0.0731333 + 0.219061i
969969 −0.0999153 1.23767i −0.00320974 0.0397598i
970970 −45.8872 + 51.7960i −1.47335 + 1.66307i
971971 −13.5634 + 8.57696i −0.435270 + 0.275248i −0.734078 0.679065i 0.762385π-0.762385\pi
0.298808 + 0.954313i 0.403411π0.403411\pi
972972 1.20581 0.513748i 0.0386764 0.0164785i
973973 −5.98705 36.8398i −0.191936 1.18103i
974974 39.7248 35.1931i 1.27286 1.12766i
975975 0.348835 + 14.4269i 0.0111716 + 0.462031i
976976 16.6516 + 14.7520i 0.533004 + 0.472200i
977977 4.63193 7.32482i 0.148189 0.234342i −0.762935 0.646476i 0.776242π-0.776242\pi
0.911123 + 0.412134i 0.135217π0.135217\pi
978978 10.4194 + 0.841140i 0.333175 + 0.0268967i
979979 −5.57112 27.2892i −0.178054 0.872165i
980980 −0.375050 1.52164i −0.0119805 0.0486069i
981981 1.37302 8.44851i 0.0438370 0.269740i
982982 −17.2441 27.2694i −0.550282 0.870201i
983983 −3.54823 6.76060i −0.113171 0.215630i 0.822282 0.569080i 0.192701π-0.192701\pi
−0.935453 + 0.353451i 0.885008π0.885008\pi
984984 3.20470 11.0639i 0.102162 0.352704i
985985 −4.94649 + 24.2295i −0.157608 + 0.772016i
986986 5.19107 0.209193i 0.165317 0.00666206i
987987 1.90938 1.00212i 0.0607763 0.0318979i
988988 −4.45773 + 6.80428i −0.141819 + 0.216473i
989989 −5.26982 2.76581i −0.167570 0.0879477i
990990 11.3238 + 5.37322i 0.359894 + 0.170772i
991991 −24.8036 42.9610i −0.787911 1.36470i −0.927245 0.374456i 0.877829π-0.877829\pi
0.139334 0.990245i 0.455504π-0.455504\pi
992992 24.5145 42.4604i 0.778336 1.34812i
993993 2.32350 1.60379i 0.0737340 0.0508949i
994994 −7.35581 + 9.78881i −0.233312 + 0.310482i
995995 −36.1594 20.8766i −1.14633 0.661833i
996996 −3.52713 + 0.428271i −0.111761 + 0.0135703i
997997 −22.1949 46.7747i −0.702919 1.48137i −0.868768 0.495219i 0.835088π-0.835088\pi
0.165849 0.986151i 0.446964π-0.446964\pi
998998 −7.29334 7.59317i −0.230867 0.240358i
999999 −0.106196 + 1.31547i −0.00335989 + 0.0416198i
Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 507.2.t.a.10.4 336
169.17 even 78 inner 507.2.t.a.355.4 yes 336
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
507.2.t.a.10.4 336 1.1 even 1 trivial
507.2.t.a.355.4 yes 336 169.17 even 78 inner