Properties

Label 483.2.v.a.41.1
Level 483483
Weight 22
Character 483.41
Analytic conductor 3.8573.857
Analytic rank 00
Dimension 600600
Inner twists 88

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(41,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 483=3723 483 = 3 \cdot 7 \cdot 23
Weight: k k == 2 2
Character orbit: [χ][\chi] == 483.v (of order 2222, degree 1010, 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: 3.856774417633.85677441763
Analytic rank: 00
Dimension: 600600
Relative dimension: 6060 over Q(ζ22)\Q(\zeta_{22})
Twist minimal: yes
Sato-Tate group: SU(2)[C22]\mathrm{SU}(2)[C_{22}]

Embedding invariants

Embedding label 41.1
Character χ\chi == 483.41
Dual form 483.2.v.a.377.1

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+(0.783018+2.66671i)q2+(1.29371+1.15165i)q3+(4.815733.09488i)q4+(0.3285192.28490i)q5+(2.058134.35173i)q6+(2.59187+0.531216i)q7+(7.823076.77873i)q8+(0.3473912.97982i)q9+(5.83594+2.66518i)q10+(0.892863+3.04081i)q11+(9.794411.54216i)q12+(1.393740.636498i)q13+(0.6128827.32773i)q14+(2.20640+3.33435i)q15+(7.19526+15.7554i)q16+(3.01474+1.93745i)q17+(7.67431+3.25964i)q18+(2.673554.16012i)q19+(8.65357+9.98675i)q20+(2.741373.67218i)q218.80810q22+(4.76812+0.514855i)q23+(2.31407+17.7792i)q24+(0.3153850.0926055i)q25+(2.788683.21830i)q26+(2.98229+4.25511i)q27+(14.1258+5.46336i)q28+(2.38941+3.71800i)q29+(10.6194+3.27299i)q30+(2.751562.38424i)q31+(27.1571+3.90460i)q32+(4.657072.90567i)q33+(2.806049.55650i)q34+(0.362296+6.09669i)q35+(10.8951+13.2749i)q36+(0.7210755.01519i)q37+(9.00042+10.3870i)q38+(2.536120.781654i)q39+(12.918720.1019i)q40+(1.216128.45831i)q41+(7.64611+10.1858i)q42+(4.859175.60778i)q43+(5.1111717.4071i)q44+(6.694471.77268i)q45+(5.10649+12.3121i)q46+4.42066q47+(27.453412.0966i)q48+(6.435622.75369i)q49+(0.4939050.768530i)q50+(1.668935.97844i)q51+(4.74197+7.37865i)q52+(4.10318+1.87386i)q53+(13.6823+4.62110i)q54+(7.241281.04114i)q55+(16.6754+21.7254i)q56+(1.33221+8.46101i)q57+(11.7858+3.46062i)q58+(1.031422.25850i)q59+(0.30603122.8859i)q60+(1.373481.19012i)q61+(4.20357+9.20453i)q62+(0.682534+7.90785i)q63+(5.9220741.1889i)q64+(1.91220+2.97545i)q65+(11.395210.1439i)q66+(7.56177+2.22034i)q67+20.5144q68+(6.76151+4.82514i)q69+(16.54183.80768i)q70+(0.3788191.29014i)q71+(17.481725.6662i)q72+(3.09191+4.81110i)q73+(13.9387+2.00408i)q74+(0.5146680.243410i)q75+(25.7502+11.7597i)q76+(3.929527.40710i)q77+(0.0986206+7.37515i)q78+(2.762046.04803i)q79+(38.363411.2645i)q80+(8.758642.07032i)q81+(21.6036+9.86605i)q82+(1.61666+11.2441i)q83+(24.5667+9.20003i)q84+(3.43649+7.52487i)q85+(11.1495+17.3490i)q86+(7.373062.05825i)q87+(27.5978+17.7360i)q88+(2.22215+2.56450i)q89+(9.9691216.4642i)q90+(3.95050+0.909347i)q91+(21.368617.2362i)q92+(0.813914+6.25337i)q93+(3.46145+11.7886i)q94+(8.627167.47548i)q95+(30.636836.3270i)q96+(3.57783+0.514414i)q97+(2.30410+19.3181i)q98+(9.371241.60422i)q99+O(q100)q+(-0.783018 + 2.66671i) q^{2} +(-1.29371 + 1.15165i) q^{3} +(-4.81573 - 3.09488i) q^{4} +(0.328519 - 2.28490i) q^{5} +(-2.05813 - 4.35173i) q^{6} +(-2.59187 + 0.531216i) q^{7} +(7.82307 - 6.77873i) q^{8} +(0.347391 - 2.97982i) q^{9} +(5.83594 + 2.66518i) q^{10} +(0.892863 + 3.04081i) q^{11} +(9.79441 - 1.54216i) q^{12} +(-1.39374 - 0.636498i) q^{13} +(0.612882 - 7.32773i) q^{14} +(2.20640 + 3.33435i) q^{15} +(7.19526 + 15.7554i) q^{16} +(-3.01474 + 1.93745i) q^{17} +(7.67431 + 3.25964i) q^{18} +(2.67355 - 4.16012i) q^{19} +(-8.65357 + 9.98675i) q^{20} +(2.74137 - 3.67218i) q^{21} -8.80810 q^{22} +(4.76812 + 0.514855i) q^{23} +(-2.31407 + 17.7792i) q^{24} +(-0.315385 - 0.0926055i) q^{25} +(2.78868 - 3.21830i) q^{26} +(2.98229 + 4.25511i) q^{27} +(14.1258 + 5.46336i) q^{28} +(2.38941 + 3.71800i) q^{29} +(-10.6194 + 3.27299i) q^{30} +(2.75156 - 2.38424i) q^{31} +(-27.1571 + 3.90460i) q^{32} +(-4.65707 - 2.90567i) q^{33} +(-2.80604 - 9.55650i) q^{34} +(0.362296 + 6.09669i) q^{35} +(-10.8951 + 13.2749i) q^{36} +(-0.721075 - 5.01519i) q^{37} +(9.00042 + 10.3870i) q^{38} +(2.53612 - 0.781654i) q^{39} +(-12.9187 - 20.1019i) q^{40} +(1.21612 - 8.45831i) q^{41} +(7.64611 + 10.1858i) q^{42} +(4.85917 - 5.60778i) q^{43} +(5.11117 - 17.4071i) q^{44} +(-6.69447 - 1.77268i) q^{45} +(-5.10649 + 12.3121i) q^{46} +4.42066 q^{47} +(-27.4534 - 12.0966i) q^{48} +(6.43562 - 2.75369i) q^{49} +(0.493905 - 0.768530i) q^{50} +(1.66893 - 5.97844i) q^{51} +(4.74197 + 7.37865i) q^{52} +(-4.10318 + 1.87386i) q^{53} +(-13.6823 + 4.62110i) q^{54} +(7.24128 - 1.04114i) q^{55} +(-16.6754 + 21.7254i) q^{56} +(1.33221 + 8.46101i) q^{57} +(-11.7858 + 3.46062i) q^{58} +(1.03142 - 2.25850i) q^{59} +(-0.306031 - 22.8859i) q^{60} +(1.37348 - 1.19012i) q^{61} +(4.20357 + 9.20453i) q^{62} +(0.682534 + 7.90785i) q^{63} +(5.92207 - 41.1889i) q^{64} +(-1.91220 + 2.97545i) q^{65} +(11.3952 - 10.1439i) q^{66} +(7.56177 + 2.22034i) q^{67} +20.5144 q^{68} +(-6.76151 + 4.82514i) q^{69} +(-16.5418 - 3.80768i) q^{70} +(0.378819 - 1.29014i) q^{71} +(-17.4817 - 25.6662i) q^{72} +(-3.09191 + 4.81110i) q^{73} +(13.9387 + 2.00408i) q^{74} +(0.514668 - 0.243410i) q^{75} +(-25.7502 + 11.7597i) q^{76} +(-3.92952 - 7.40710i) q^{77} +(0.0986206 + 7.37515i) q^{78} +(2.76204 - 6.04803i) q^{79} +(38.3634 - 11.2645i) q^{80} +(-8.75864 - 2.07032i) q^{81} +(21.6036 + 9.86605i) q^{82} +(1.61666 + 11.2441i) q^{83} +(-24.5667 + 9.20003i) q^{84} +(3.43649 + 7.52487i) q^{85} +(11.1495 + 17.3490i) q^{86} +(-7.37306 - 2.05825i) q^{87} +(27.5978 + 17.7360i) q^{88} +(-2.22215 + 2.56450i) q^{89} +(9.96912 - 16.4642i) q^{90} +(3.95050 + 0.909347i) q^{91} +(-21.3686 - 17.2362i) q^{92} +(-0.813914 + 6.25337i) q^{93} +(-3.46145 + 11.7886i) q^{94} +(-8.62716 - 7.47548i) q^{95} +(30.6368 - 36.3270i) q^{96} +(3.57783 + 0.514414i) q^{97} +(2.30410 + 19.3181i) q^{98} +(9.37124 - 1.60422i) q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 600q+20q418q726q914q15116q1646q1850q21104q2288q2526q28+26q3026q3656q3714q39+5q4240q4344q46+250q99+O(q100) 600 q + 20 q^{4} - 18 q^{7} - 26 q^{9} - 14 q^{15} - 116 q^{16} - 46 q^{18} - 50 q^{21} - 104 q^{22} - 88 q^{25} - 26 q^{28} + 26 q^{30} - 26 q^{36} - 56 q^{37} - 14 q^{39} + 5 q^{42} - 40 q^{43} - 44 q^{46}+ \cdots - 250 q^{99}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/483Z)×\left(\mathbb{Z}/483\mathbb{Z}\right)^\times.

nn 323323 346346 442442
χ(n)\chi(n) 1-1 1-1 e(611)e\left(\frac{6}{11}\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 −0.783018 + 2.66671i −0.553677 + 1.88565i −0.0987737 + 0.995110i 0.531492π0.531492\pi
−0.454903 + 0.890541i 0.650326π0.650326\pi
33 −1.29371 + 1.15165i −0.746926 + 0.664907i
44 −4.81573 3.09488i −2.40787 1.54744i
55 0.328519 2.28490i 0.146918 1.02184i −0.774307 0.632810i 0.781901π-0.781901\pi
0.921225 0.389029i 0.127189π-0.127189\pi
66 −2.05813 4.35173i −0.840227 1.77659i
77 −2.59187 + 0.531216i −0.979636 + 0.200781i
88 7.82307 6.77873i 2.76587 2.39664i
99 0.347391 2.97982i 0.115797 0.993273i
1010 5.83594 + 2.66518i 1.84549 + 0.842805i
1111 0.892863 + 3.04081i 0.269208 + 0.916840i 0.977503 + 0.210922i 0.0676467π0.0676467\pi
−0.708294 + 0.705917i 0.750535π0.750535\pi
1212 9.79441 1.54216i 2.82740 0.445183i
1313 −1.39374 0.636498i −0.386553 0.176533i 0.212653 0.977128i 0.431790π-0.431790\pi
−0.599206 + 0.800595i 0.704517π0.704517\pi
1414 0.612882 7.32773i 0.163800 1.95842i
1515 2.20640 + 3.33435i 0.569691 + 0.860925i
1616 7.19526 + 15.7554i 1.79882 + 3.93886i
1717 −3.01474 + 1.93745i −0.731181 + 0.469902i −0.852510 0.522711i 0.824921π-0.824921\pi
0.121329 + 0.992612i 0.461284π0.461284\pi
1818 7.67431 + 3.25964i 1.80885 + 0.768305i
1919 2.67355 4.16012i 0.613354 0.954398i −0.386135 0.922442i 0.626190π-0.626190\pi
0.999489 0.0319557i 0.0101736π-0.0101736\pi
2020 −8.65357 + 9.98675i −1.93500 + 2.23310i
2121 2.74137 3.67218i 0.598215 0.801336i
2222 −8.80810 −1.87789
2323 4.76812 + 0.514855i 0.994221 + 0.107355i
2424 −2.31407 + 17.7792i −0.472358 + 3.62916i
2525 −0.315385 0.0926055i −0.0630771 0.0185211i
2626 2.78868 3.21830i 0.546904 0.631161i
2727 2.98229 + 4.25511i 0.573943 + 0.818896i
2828 14.1258 + 5.46336i 2.66953 + 1.03248i
2929 2.38941 + 3.71800i 0.443703 + 0.690415i 0.989015 0.147818i 0.0472251π-0.0472251\pi
−0.545312 + 0.838233i 0.683589π0.683589\pi
3030 −10.6194 + 3.27299i −1.93883 + 0.597564i
3131 2.75156 2.38424i 0.494195 0.428222i −0.371772 0.928324i 0.621250π-0.621250\pi
0.865967 + 0.500102i 0.166704π0.166704\pi
3232 −27.1571 + 3.90460i −4.80074 + 0.690243i
3333 −4.65707 2.90567i −0.810692 0.505813i
3434 −2.80604 9.55650i −0.481232 1.63893i
3535 0.362296 + 6.09669i 0.0612391 + 1.03053i
3636 −10.8951 + 13.2749i −1.81586 + 2.21248i
3737 −0.721075 5.01519i −0.118544 0.824492i −0.959161 0.282861i 0.908716π-0.908716\pi
0.840617 0.541630i 0.182193π-0.182193\pi
3838 9.00042 + 10.3870i 1.46006 + 1.68500i
3939 2.53612 0.781654i 0.406104 0.125165i
4040 −12.9187 20.1019i −2.04263 3.17839i
4141 1.21612 8.45831i 0.189926 1.32097i −0.642267 0.766481i 0.722006π-0.722006\pi
0.832193 0.554485i 0.187085π-0.187085\pi
4242 7.64611 + 10.1858i 1.17982 + 1.57171i
4343 4.85917 5.60778i 0.741017 0.855179i −0.252649 0.967558i 0.581302π-0.581302\pi
0.993665 + 0.112379i 0.0358472π0.0358472\pi
4444 5.11117 17.4071i 0.770538 2.62421i
4545 −6.69447 1.77268i −0.997952 0.264256i
4646 −5.10649 + 12.3121i −0.752911 + 1.81531i
4747 4.42066 0.644820 0.322410 0.946600i 0.395507π-0.395507\pi
0.322410 + 0.946600i 0.395507π0.395507\pi
4848 −27.4534 12.0966i −3.96256 1.74599i
4949 6.43562 2.75369i 0.919374 0.393384i
5050 0.493905 0.768530i 0.0698487 0.108687i
5151 1.66893 5.97844i 0.233697 0.837149i
5252 4.74197 + 7.37865i 0.657593 + 1.02324i
5353 −4.10318 + 1.87386i −0.563615 + 0.257394i −0.676784 0.736181i 0.736627π-0.736627\pi
0.113169 + 0.993576i 0.463900π0.463900\pi
5454 −13.6823 + 4.62110i −1.86193 + 0.628852i
5555 7.24128 1.04114i 0.976414 0.140387i
5656 −16.6754 + 21.7254i −2.22835 + 2.90317i
5757 1.33221 + 8.46101i 0.176456 + 1.12069i
5858 −11.7858 + 3.46062i −1.54755 + 0.454402i
5959 1.03142 2.25850i 0.134280 0.294032i −0.830533 0.556970i 0.811964π-0.811964\pi
0.964813 + 0.262937i 0.0846912π0.0846912\pi
6060 −0.306031 22.8859i −0.0395084 2.95456i
6161 1.37348 1.19012i 0.175856 0.152380i −0.562486 0.826807i 0.690155π-0.690155\pi
0.738341 + 0.674427i 0.235609π0.235609\pi
6262 4.20357 + 9.20453i 0.533853 + 1.16898i
6363 0.682534 + 7.90785i 0.0859913 + 0.996296i
6464 5.92207 41.1889i 0.740258 5.14861i
6565 −1.91220 + 2.97545i −0.237180 + 0.369059i
6666 11.3952 10.1439i 1.40265 1.24862i
6767 7.56177 + 2.22034i 0.923817 + 0.271257i 0.708846 0.705363i 0.249216π-0.249216\pi
0.214971 + 0.976620i 0.431034π0.431034\pi
6868 20.5144 2.48773
6969 −6.76151 + 4.82514i −0.813990 + 0.580879i
7070 −16.5418 3.80768i −1.97712 0.455105i
7171 0.378819 1.29014i 0.0449575 0.153111i −0.933955 0.357390i 0.883667π-0.883667\pi
0.978913 + 0.204279i 0.0654849π0.0654849\pi
7272 −17.4817 25.6662i −2.06024 3.02479i
7373 −3.09191 + 4.81110i −0.361880 + 0.563097i −0.973681 0.227915i 0.926809π-0.926809\pi
0.611801 + 0.791012i 0.290445π0.290445\pi
7474 13.9387 + 2.00408i 1.62034 + 0.232970i
7575 0.514668 0.243410i 0.0594287 0.0281065i
7676 −25.7502 + 11.7597i −2.95375 + 1.34893i
7777 −3.92952 7.40710i −0.447810 0.844117i
7878 0.0986206 + 7.37515i 0.0111666 + 0.835071i
7979 2.76204 6.04803i 0.310754 0.680457i −0.688231 0.725491i 0.741613π-0.741613\pi
0.998985 + 0.0450348i 0.0143399π0.0143399\pi
8080 38.3634 11.2645i 4.28916 1.25941i
8181 −8.75864 2.07032i −0.973182 0.230036i
8282 21.6036 + 9.86605i 2.38572 + 1.08952i
8383 1.61666 + 11.2441i 0.177451 + 1.23420i 0.862634 + 0.505829i 0.168813π0.168813\pi
−0.685183 + 0.728371i 0.740278π0.740278\pi
8484 −24.5667 + 9.20003i −2.68044 + 1.00381i
8585 3.43649 + 7.52487i 0.372740 + 0.816186i
8686 11.1495 + 17.3490i 1.20228 + 1.87079i
8787 −7.37306 2.05825i −0.790475 0.220668i
8888 27.5978 + 17.7360i 2.94193 + 1.89067i
8989 −2.22215 + 2.56450i −0.235548 + 0.271837i −0.861201 0.508265i 0.830287π-0.830287\pi
0.625653 + 0.780101i 0.284833π0.284833\pi
9090 9.96912 16.4642i 1.05084 1.73548i
9191 3.95050 + 0.909347i 0.414125 + 0.0953255i
9292 −21.3686 17.2362i −2.22783 1.79699i
9393 −0.813914 + 6.25337i −0.0843989 + 0.648444i
9494 −3.46145 + 11.7886i −0.357022 + 1.21590i
9595 −8.62716 7.47548i −0.885128 0.766968i
9696 30.6368 36.3270i 3.12685 3.70761i
9797 3.57783 + 0.514414i 0.363274 + 0.0522309i 0.321535 0.946898i 0.395801π-0.395801\pi
0.0417386 + 0.999129i 0.486710π0.486710\pi
9898 2.30410 + 19.3181i 0.232749 + 1.95143i
9999 9.37124 1.60422i 0.941845 0.161230i
100100 1.23221 + 1.42204i 0.123221 + 0.142204i
101101 −2.73862 19.0475i −0.272503 1.89530i −0.422098 0.906550i 0.638706π-0.638706\pi
0.149595 0.988747i 0.452203π-0.452203\pi
102102 14.6360 + 9.13179i 1.44918 + 0.904182i
103103 3.95664 + 13.4751i 0.389859 + 1.32774i 0.887681 + 0.460460i 0.152315π0.152315\pi
−0.497821 + 0.867280i 0.665866π0.665866\pi
104104 −15.2179 + 4.46839i −1.49224 + 0.438162i
105105 −7.48998 7.47013i −0.730947 0.729010i
106106 −1.78418 12.4093i −0.173295 1.20529i
107107 2.88623 2.50094i 0.279023 0.241775i −0.504095 0.863648i 0.668174π-0.668174\pi
0.783118 + 0.621874i 0.213628π0.213628\pi
108108 −1.19287 29.7213i −0.114784 2.85993i
109109 −3.93751 + 2.53048i −0.377145 + 0.242376i −0.715456 0.698658i 0.753781π-0.753781\pi
0.338311 + 0.941034i 0.390145π0.390145\pi
110110 −2.89363 + 20.1256i −0.275897 + 1.91891i
111111 6.70862 + 5.65779i 0.636754 + 0.537014i
112112 −27.0187 37.0138i −2.55303 3.49748i
113113 1.96105 6.67872i 0.184480 0.628281i −0.814370 0.580345i 0.802918π-0.802918\pi
0.998850 0.0479356i 0.0152642π-0.0152642\pi
114114 −23.6062 3.07249i −2.21093 0.287765i
115115 2.74281 10.7255i 0.255768 1.00016i
116116 25.2998i 2.34903i
117117 −2.38082 + 3.93197i −0.220107 + 0.363510i
118118 5.21516 + 4.51896i 0.480094 + 0.416004i
119119 6.78461 6.62311i 0.621944 0.607140i
120120 39.8635 + 11.1282i 3.63902 + 1.01586i
121121 0.804451 0.516989i 0.0731319 0.0469990i
122122 2.09826 + 4.59456i 0.189968 + 0.415972i
123123 8.16773 + 12.3432i 0.736459 + 1.11295i
124124 −20.6297 + 2.96611i −1.85261 + 0.266364i
125125 4.47951 9.80876i 0.400660 0.877322i
126126 −21.6224 4.37186i −1.92628 0.389477i
127127 4.17205 1.22502i 0.370209 0.108703i −0.0913354 0.995820i 0.529114π-0.529114\pi
0.461545 + 0.887117i 0.347295π0.347295\pi
128128 55.2878 + 25.2491i 4.88680 + 2.23173i
129129 0.171843 + 12.8509i 0.0151299 + 1.13146i
130130 −6.43737 7.42912i −0.564595 0.651577i
131131 6.35002 + 13.9046i 0.554804 + 1.21485i 0.954502 + 0.298205i 0.0963878π0.0963878\pi
−0.399698 + 0.916647i 0.630885π0.630885\pi
132132 13.4345 + 28.4060i 1.16932 + 2.47243i
133133 −4.71958 + 12.2028i −0.409239 + 1.05811i
134134 −11.8420 + 18.4265i −1.02299 + 1.59181i
135135 10.7022 5.41636i 0.921102 0.466166i
136136 −10.4510 + 35.5929i −0.896168 + 3.05207i
137137 9.04558i 0.772816i 0.922328 + 0.386408i 0.126284π0.126284\pi
−0.922328 + 0.386408i 0.873716π0.873716\pi
138138 −7.57288 21.8092i −0.644646 1.85652i
139139 18.0942i 1.53473i −0.641210 0.767366i 0.721567π-0.721567\pi
0.641210 0.767366i 0.278433π-0.278433\pi
140140 17.1238 30.4813i 1.44723 2.57614i
141141 −5.71907 + 5.09107i −0.481632 + 0.428745i
142142 3.14381 + 2.02040i 0.263823 + 0.169548i
143143 0.691055 4.80639i 0.0577889 0.401931i
144144 49.4479 15.9673i 4.12066 1.33061i
145145 9.28023 4.23814i 0.770681 0.351958i
146146 −10.4088 12.0124i −0.861439 0.994154i
147147 −5.15455 + 10.9741i −0.425141 + 0.905127i
148148 −12.0489 + 26.3835i −0.990415 + 2.16871i
149149 −2.86638 9.76198i −0.234823 0.799733i −0.989612 0.143765i 0.954079π-0.954079\pi
0.754789 0.655968i 0.227739π-0.227739\pi
150150 0.246109 + 1.56307i 0.0200947 + 0.127624i
151151 4.54534 9.95292i 0.369895 0.809957i −0.629560 0.776952i 0.716765π-0.716765\pi
0.999455 0.0330052i 0.0105078π-0.0105078\pi
152152 −7.28499 50.6682i −0.590891 4.10974i
153153 4.72597 + 9.65642i 0.382072 + 0.780675i
154154 22.8295 4.67900i 1.83965 0.377045i
155155 −4.54382 7.07032i −0.364968 0.567901i
156156 −14.6324 4.08476i −1.17153 0.327042i
157157 6.91128 10.7542i 0.551580 0.858276i −0.447776 0.894146i 0.647784π-0.647784\pi
0.999356 + 0.0358699i 0.0114202π0.0114202\pi
158158 13.9656 + 12.1013i 1.11105 + 0.962727i
159159 3.15030 7.14968i 0.249835 0.567006i
160160 63.3341i 5.00700i
161161 −12.6319 + 1.19846i −0.995529 + 0.0944519i
162162 12.3791 21.7357i 0.972596 1.70772i
163163 −13.0760 3.83947i −1.02419 0.300730i −0.273845 0.961774i 0.588296π-0.588296\pi
−0.750348 + 0.661044i 0.770114π0.770114\pi
164164 −32.0340 + 36.9692i −2.50144 + 2.88681i
165165 −8.16911 + 9.68638i −0.635965 + 0.754084i
166166 −31.2507 4.49317i −2.42552 0.348737i
167167 3.68461 2.36796i 0.285124 0.183238i −0.390259 0.920705i 0.627615π-0.627615\pi
0.675383 + 0.737467i 0.263978π0.263978\pi
168168 −3.44682 47.3107i −0.265928 3.65010i
169169 −6.97582 8.05053i −0.536602 0.619271i
170170 −22.7575 + 3.27203i −1.74542 + 0.250954i
171171 −11.4677 9.41188i −0.876953 0.719745i
172172 −40.7559 + 11.9670i −3.10761 + 0.912476i
173173 14.6905 4.31351i 1.11689 0.327950i 0.329350 0.944208i 0.393170π-0.393170\pi
0.787544 + 0.616258i 0.211352π0.211352\pi
174174 11.2620 18.0502i 0.853770 1.36838i
175175 0.866633 + 0.0724840i 0.0655113 + 0.00547928i
176176 −41.4849 + 35.9469i −3.12704 + 2.70960i
177177 1.26665 + 4.10970i 0.0952069 + 0.308904i
178178 −5.09880 7.93389i −0.382171 0.594670i
179179 −20.2388 2.90991i −1.51272 0.217497i −0.664560 0.747235i 0.731381π-0.731381\pi
−0.848161 + 0.529738i 0.822290π0.822290\pi
180180 26.7525 + 29.2554i 1.99402 + 2.18057i
181181 11.4427 + 9.91518i 0.850532 + 0.736990i 0.966610 0.256250i 0.0824871π-0.0824871\pi
−0.116079 + 0.993240i 0.537033π0.537033\pi
182182 −5.51828 + 9.82283i −0.409042 + 0.728116i
183183 −0.406276 + 3.12145i −0.0300328 + 0.230744i
184184 40.7914 28.2940i 3.00718 2.08586i
185185 −11.6961 −0.859914
186186 −16.0386 7.06697i −1.17601 0.518176i
187187 −8.58318 7.43737i −0.627664 0.543874i
188188 −21.2887 13.6814i −1.55264 0.997821i
189189 −9.99011 9.44446i −0.726673 0.686983i
190190 26.6902 17.1527i 1.93631 1.24439i
191191 −8.52589 + 3.89364i −0.616912 + 0.281734i −0.699258 0.714870i 0.746486π-0.746486\pi
0.0823459 + 0.996604i 0.473759π0.473759\pi
192192 39.7738 + 60.1068i 2.87043 + 4.33783i
193193 −1.60123 11.1368i −0.115259 0.801644i −0.962664 0.270697i 0.912746π-0.912746\pi
0.847405 0.530946i 0.178163π-0.178163\pi
194194 −4.17330 + 9.13825i −0.299625 + 0.656088i
195195 −0.952838 6.05157i −0.0682342 0.433362i
196196 −39.5146 6.65646i −2.82247 0.475462i
197197 1.71862 + 0.784867i 0.122447 + 0.0559195i 0.475696 0.879610i 0.342196π-0.342196\pi
−0.353250 + 0.935529i 0.614923π0.614923\pi
198198 −3.05985 + 26.2465i −0.217454 + 1.86526i
199199 5.23158 4.53319i 0.370857 0.321349i −0.449415 0.893323i 0.648368π-0.648368\pi
0.820272 + 0.571974i 0.193822π0.193822\pi
200200 −3.09503 + 1.41345i −0.218852 + 0.0999462i
201201 −12.3398 + 5.83606i −0.870384 + 0.411644i
202202 52.9386 + 7.61142i 3.72475 + 0.535538i
203203 −8.16812 8.36729i −0.573289 0.587269i
204204 −26.5397 + 23.6254i −1.85815 + 1.65411i
205205 −18.9269 5.55744i −1.32191 0.388148i
206206 −39.0323 −2.71951
207207 3.19057 14.0293i 0.221760 0.975101i
208208 26.5387i 1.84012i
209209 15.0373 + 4.41534i 1.04015 + 0.305416i
210210 25.7855 14.1244i 1.77937 0.974675i
211211 7.37181 + 4.73757i 0.507496 + 0.326148i 0.769208 0.638998i 0.220651π-0.220651\pi
−0.261712 + 0.965146i 0.584287π0.584287\pi
212212 25.5592 + 3.67486i 1.75541 + 0.252390i
213213 0.995709 + 2.10534i 0.0682249 + 0.144255i
214214 4.40931 + 9.65504i 0.301414 + 0.660005i
215215 −11.2169 12.9450i −0.764986 0.882841i
216216 52.1749 + 13.0718i 3.55005 + 0.889426i
217217 −5.86515 + 7.64133i −0.398152 + 0.518727i
218218 −3.66494 12.4816i −0.248221 0.845362i
219219 −1.54068 9.78499i −0.104109 0.661209i
220220 −38.0943 17.3971i −2.56832 1.17291i
221221 5.43493 0.781425i 0.365593 0.0525643i
222222 −20.3407 + 13.4598i −1.36518 + 0.903364i
223223 −14.1060 + 6.44199i −0.944606 + 0.431387i −0.827333 0.561712i 0.810143π-0.810143\pi
−0.117274 + 0.993100i 0.537415π0.537415\pi
224224 68.3136 24.5465i 4.56440 1.64008i
225225 −0.385510 + 0.907621i −0.0257006 + 0.0605081i
226226 16.2747 + 10.4591i 1.08258 + 0.695729i
227227 −15.1973 + 17.5386i −1.00868 + 1.16408i −0.0222720 + 0.999752i 0.507090π0.507090\pi
−0.986406 + 0.164325i 0.947455π0.947455\pi
228228 19.7703 44.8690i 1.30932 2.97152i
229229 0.117428i 0.00775989i 0.999992 + 0.00387994i 0.00123503π0.00123503\pi
−0.999992 + 0.00387994i 0.998765π0.998765\pi
230230 26.4543 + 15.7126i 1.74434 + 1.03606i
231231 13.6141 + 5.05723i 0.895741 + 0.332741i
232232 43.8959 + 12.8890i 2.88190 + 0.846203i
233233 −11.9492 10.3540i −0.782818 0.678316i 0.168782 0.985653i 0.446016π-0.446016\pi
−0.951601 + 0.307338i 0.900562π0.900562\pi
234234 −8.62120 9.42776i −0.563586 0.616312i
235235 1.45227 10.1008i 0.0947358 0.658902i
236236 −11.9569 + 7.68422i −0.778326 + 0.500200i
237237 3.39194 + 11.0053i 0.220330 + 0.714873i
238238 12.3495 + 23.2786i 0.800497 + 1.50893i
239239 3.73639 0.537212i 0.241687 0.0347494i −0.0204066 0.999792i 0.506496π-0.506496\pi
0.262094 + 0.965042i 0.415587π0.415587\pi
240240 −36.6584 + 58.7543i −2.36629 + 3.79258i
241241 2.60896 + 8.88532i 0.168058 + 0.572354i 0.999851 + 0.0172672i 0.00549661π0.00549661\pi
−0.831793 + 0.555086i 0.812685π0.812685\pi
242242 0.748763 + 2.55005i 0.0481323 + 0.163924i
243243 13.7155 7.40851i 0.879848 0.475256i
244244 −10.2976 + 1.48057i −0.659236 + 0.0947839i
245245 −4.17768 15.6094i −0.266902 0.997248i
246246 −39.3112 + 12.1161i −2.50639 + 0.772491i
247247 −6.37413 + 4.09641i −0.405576 + 0.260648i
248248 5.36353 37.3042i 0.340585 2.36882i
249249 −15.0408 12.6848i −0.953171 0.803868i
250250 22.6496 + 19.6260i 1.43249 + 1.24126i
251251 24.4319 + 7.17387i 1.54213 + 0.452810i 0.938737 0.344633i 0.111997π-0.111997\pi
0.603393 + 0.797444i 0.293815π0.293815\pi
252252 21.1870 40.1945i 1.33465 2.53201i
253253 2.69170 + 14.9586i 0.169226 + 0.940442i
254254 12.0849i 0.758272i
255255 −13.1119 5.77738i −0.821097 0.361793i
256256 −56.1228 + 64.7691i −3.50767 + 4.04807i
257257 11.4724 + 7.37285i 0.715628 + 0.459906i 0.847113 0.531412i 0.178338π-0.178338\pi
−0.131486 + 0.991318i 0.541975π0.541975\pi
258258 −34.4043 9.60426i −2.14192 0.597935i
259259 4.53308 + 12.6157i 0.281672 + 0.783901i
260260 18.4173 8.41091i 1.14219 0.521623i
261261 11.9090 5.82842i 0.737150 0.360770i
262262 −42.0518 + 6.04613i −2.59797 + 0.373531i
263263 −15.0755 6.88475i −0.929595 0.424532i −0.107708 0.994183i 0.534351π-0.534351\pi
−0.821887 + 0.569651i 0.807079π0.807079\pi
264264 −56.1294 + 8.83774i −3.45452 + 0.543925i
265265 2.93361 + 9.99096i 0.180210 + 0.613740i
266266 −28.8457 22.1407i −1.76864 1.35754i
267267 −0.0785857 5.87688i −0.00480937 0.359659i
268268 −29.5438 34.0953i −1.80467 2.08270i
269269 3.48906 + 7.63997i 0.212732 + 0.465817i 0.985675 0.168658i 0.0539434π-0.0539434\pi
−0.772943 + 0.634475i 0.781216π0.781216\pi
270270 6.06384 + 32.7809i 0.369034 + 1.99498i
271271 0.597126 + 0.0858538i 0.0362728 + 0.00521525i 0.160427 0.987048i 0.448713π-0.448713\pi
−0.124155 + 0.992263i 0.539622π0.539622\pi
272272 −52.2172 33.5580i −3.16613 2.03475i
273273 −6.15807 + 3.37318i −0.372704 + 0.204154i
274274 −24.1220 7.08285i −1.45726 0.427890i
275275 1.04171i 0.0628176i
276276 47.4949 2.31050i 2.85886 0.139075i
277277 19.0295 1.14337 0.571686 0.820472i 0.306289π-0.306289\pi
0.571686 + 0.820472i 0.306289π0.306289\pi
278278 48.2521 + 14.1681i 2.89397 + 0.849746i
279279 −6.14874 9.02742i −0.368115 0.540457i
280280 44.1621 + 45.2389i 2.63919 + 2.70354i
281281 −12.3339 1.77334i −0.735776 0.105789i −0.235768 0.971809i 0.575761π-0.575761\pi
−0.500008 + 0.866021i 0.666670π0.666670\pi
282282 −9.09828 19.2375i −0.541795 1.14558i
283283 9.94351 4.54105i 0.591080 0.269937i −0.0973378 0.995251i 0.531033π-0.531033\pi
0.688418 + 0.725314i 0.258305π0.258305\pi
284284 −5.81712 + 5.04056i −0.345183 + 0.299102i
285285 19.7702 0.264368i 1.17109 0.0156598i
286286 12.2762 + 5.60634i 0.725905 + 0.331510i
287287 1.34116 + 22.5689i 0.0791659 + 1.33220i
288288 2.20088 + 82.2797i 0.129688 + 4.84838i
289289 −1.72714 + 3.78192i −0.101597 + 0.222466i
290290 4.03532 + 28.0662i 0.236962 + 1.64811i
291291 −5.22112 + 3.45491i −0.306067 + 0.202531i
292292 29.7796 13.5999i 1.74272 0.795873i
293293 2.18963 1.40719i 0.127919 0.0822087i −0.475116 0.879923i 0.657594π-0.657594\pi
0.603036 + 0.797714i 0.293958π0.293958\pi
294294 −25.2286 22.3386i −1.47136 1.30281i
295295 −4.82162 3.09867i −0.280725 0.180411i
296296 −39.6376 34.3462i −2.30389 1.99633i
297297 −10.2762 + 12.8678i −0.596286 + 0.746667i
298298 28.2768 1.63803
299299 −6.31779 3.75247i −0.365367 0.217011i
300300 −3.23183 0.420642i −0.186590 0.0242858i
301301 −9.61541 + 17.1159i −0.554223 + 0.986546i
302302 22.9825 + 19.9144i 1.32249 + 1.14595i
303303 25.4791 + 21.4881i 1.46374 + 1.23446i
304304 84.7814 + 12.1897i 4.86255 + 0.699129i
305305 −2.26810 3.52924i −0.129871 0.202084i
306306 −29.4514 + 5.04166i −1.68363 + 0.288212i
307307 −19.1949 + 16.6325i −1.09551 + 0.949266i −0.998939 0.0460595i 0.985334π-0.985334\pi
−0.0965731 + 0.995326i 0.530788π0.530788\pi
308308 −4.00061 + 47.8320i −0.227956 + 2.72548i
309309 −20.6374 12.8762i −1.17402 0.732503i
310310 22.4124 6.58087i 1.27294 0.373768i
311311 −6.19693 + 1.81958i −0.351396 + 0.103179i −0.452667 0.891680i 0.649527π-0.649527\pi
0.101271 + 0.994859i 0.467709π0.467709\pi
312312 14.5416 23.3066i 0.823257 1.31948i
313313 5.84090 0.839795i 0.330147 0.0474680i 0.0247519 0.999694i 0.492120π-0.492120\pi
0.305395 + 0.952226i 0.401211π0.401211\pi
314314 23.2666 + 26.8511i 1.31301 + 1.51530i
315315 18.2929 + 1.03836i 1.03069 + 0.0585048i
316316 −32.0192 + 20.5775i −1.80122 + 1.15757i
317317 27.3502 + 3.93236i 1.53614 + 0.220863i 0.857837 0.513921i 0.171808π-0.171808\pi
0.678300 + 0.734785i 0.262717π0.262717\pi
318318 16.5994 + 13.9993i 0.930848 + 0.785041i
319319 −9.17232 + 10.5854i −0.513551 + 0.592670i
320320 −92.1670 27.0627i −5.15229 1.51285i
321321 −0.853750 + 6.55944i −0.0476517 + 0.366112i
322322 6.69501 34.6239i 0.373099 1.92952i
323323 17.7216i 0.986054i
324324 35.7719 + 37.0771i 1.98733 + 2.05984i
325325 0.380621 + 0.329810i 0.0211130 + 0.0182945i
326326 20.4775 31.8636i 1.13414 1.76476i
327327 2.17977 7.80837i 0.120542 0.431804i
328328 −47.8228 74.4137i −2.64057 4.10881i
329329 −11.4578 + 2.34832i −0.631689 + 0.129467i
330330 −19.4342 29.3693i −1.06982 1.61673i
331331 4.01654 + 27.9357i 0.220769 + 1.53548i 0.735140 + 0.677915i 0.237116π0.237116\pi
−0.514371 + 0.857568i 0.671975π0.671975\pi
332332 27.0138 59.1519i 1.48257 3.24638i
333333 −15.1948 + 0.406444i −0.832672 + 0.0222730i
334334 3.42954 + 11.6799i 0.187656 + 0.639098i
335335 7.55743 16.5485i 0.412907 0.904140i
336336 77.5816 + 16.7691i 4.23242 + 0.914829i
337337 −19.1127 22.0573i −1.04114 1.20154i −0.979083 0.203463i 0.934780π-0.934780\pi
−0.0620545 0.998073i 0.519765π-0.519765\pi
338338 26.9306 12.2988i 1.46483 0.668967i
339339 5.15453 + 10.8988i 0.279956 + 0.591941i
340340 6.73936 46.8733i 0.365493 2.54206i
341341 9.70680 + 6.23818i 0.525653 + 0.337816i
342342 34.0782 23.2113i 1.84274 1.25512i
343343 −15.2175 + 10.5559i −0.821668 + 0.569966i
344344 76.8091i 4.14127i
345345 8.80368 + 17.0345i 0.473974 + 0.917109i
346346 42.5528i 2.28765i
347347 −0.0622420 + 0.211977i −0.00334133 + 0.0113795i −0.961147 0.276038i 0.910978π-0.910978\pi
0.957805 + 0.287417i 0.0927967π0.0927967\pi
348348 29.1366 + 32.7308i 1.56189 + 1.75455i
349349 15.3199 23.8383i 0.820057 1.27603i −0.138279 0.990393i 0.544157π-0.544157\pi
0.958337 0.285641i 0.0922065π-0.0922065\pi
350350 −0.871883 + 2.25430i −0.0466041 + 0.120498i
351351 −1.44816 7.82872i −0.0772972 0.417866i
352352 −36.1208 79.0934i −1.92524 4.21569i
353353 −3.00117 3.46353i −0.159736 0.184345i 0.670240 0.742145i 0.266191π-0.266191\pi
−0.829976 + 0.557799i 0.811646π0.811646\pi
354354 −11.9512 + 0.159812i −0.635199 + 0.00849389i
355355 −2.82339 1.28940i −0.149850 0.0684342i
356356 18.6381 5.47265i 0.987819 0.290050i
357357 −1.14982 + 16.3819i −0.0608548 + 0.867024i
358358 23.6072 51.6927i 1.24768 2.73204i
359359 1.20320 0.172994i 0.0635023 0.00913025i −0.110490 0.993877i 0.535242π-0.535242\pi
0.173993 + 0.984747i 0.444333π0.444333\pi
360360 −64.3878 + 31.5122i −3.39354 + 1.66084i
361361 −2.26588 4.96159i −0.119257 0.261136i
362362 −35.4008 + 22.7507i −1.86063 + 1.19575i
363363 −0.445337 + 1.59529i −0.0233741 + 0.0837308i
364364 −16.2103 16.6055i −0.849648 0.870366i
365365 9.97714 + 8.64524i 0.522227 + 0.452513i
366366 −8.00589 3.52757i −0.418475 0.184389i
367367 0.634511i 0.0331212i 0.999863 + 0.0165606i 0.00527164π0.00527164\pi
−0.999863 + 0.0165606i 0.994728π0.994728\pi
368368 26.1961 + 78.8282i 1.36556 + 4.10920i
369369 −24.7818 6.56216i −1.29009 0.341612i
370370 9.15825 31.1901i 0.476115 1.62150i
371371 9.63950 7.03648i 0.500458 0.365316i
372372 23.2730 27.5956i 1.20665 1.43076i
373373 0.248073 1.72538i 0.0128447 0.0893370i −0.982391 0.186838i 0.940176π-0.940176\pi
0.995235 + 0.0975013i 0.0310850π0.0310850\pi
374374 26.5541 17.0653i 1.37308 0.882425i
375375 5.50108 + 17.8486i 0.284075 + 0.921696i
376376 34.5831 29.9665i 1.78349 1.54540i
377377 −0.963712 6.70276i −0.0496337 0.345210i
378378 33.0081 19.2456i 1.69775 0.989886i
379379 23.3447 6.85463i 1.19914 0.352099i 0.379615 0.925145i 0.376056π-0.376056\pi
0.819523 + 0.573046i 0.194238π0.194238\pi
380380 18.4104 + 62.7000i 0.944432 + 3.21644i
381381 −3.98663 + 6.38958i −0.204241 + 0.327348i
382382 −3.70731 25.7849i −0.189682 1.31927i
383383 −15.1513 17.4855i −0.774193 0.893466i 0.222483 0.974937i 0.428584π-0.428584\pi
−0.996676 + 0.0814703i 0.974038π0.974038\pi
384384 −100.605 + 31.0073i −5.13397 + 1.58233i
385385 −18.2154 + 6.54518i −0.928344 + 0.333573i
386386 30.9524 + 4.45029i 1.57544 + 0.226514i
387387 −15.0221 16.4275i −0.763618 0.835059i
388388 −15.6378 13.5503i −0.793890 0.687910i
389389 −5.80741 + 19.7782i −0.294448 + 1.00280i 0.670839 + 0.741603i 0.265934π0.265934\pi
−0.965286 + 0.261193i 0.915884π0.915884\pi
390390 16.8839 + 2.19754i 0.854949 + 0.111277i
391391 −15.3721 + 7.68585i −0.777402 + 0.388690i
392392 31.6798 65.1676i 1.60007 3.29146i
393393 −24.2284 10.6756i −1.22216 0.538511i
394394 −3.43873 + 3.96850i −0.173241 + 0.199930i
395395 −12.9118 8.29789i −0.649662 0.417512i
396396 −50.0943 21.2774i −2.51733 1.06923i
397397 −19.4051 30.1949i −0.973915 1.51544i −0.852426 0.522848i 0.824870π-0.824870\pi
−0.121489 0.992593i 0.538767π-0.538767\pi
398398 7.99230 + 17.5007i 0.400618 + 0.877231i
399399 −7.94755 21.2222i −0.397875 1.06244i
400400 −0.810241 5.63535i −0.0405121 0.281768i
401401 2.20708 + 1.00794i 0.110216 + 0.0503341i 0.469760 0.882794i 0.344340π-0.344340\pi
−0.359544 + 0.933128i 0.617068π0.617068\pi
402402 −5.90079 37.4765i −0.294305 1.86916i
403403 −5.35251 + 1.57164i −0.266628 + 0.0782889i
404404 −45.7614 + 100.203i −2.27671 + 4.98531i
405405 −7.60786 + 19.3325i −0.378038 + 0.960639i
406406 28.7089 15.2303i 1.42480 0.755866i
407407 14.6064 6.67053i 0.724014 0.330646i
408408 −27.4701 58.0830i −1.35997 2.87554i
409409 −1.28308 0.184479i −0.0634441 0.00912188i 0.110520 0.993874i 0.464748π-0.464748\pi
−0.173964 + 0.984752i 0.555658π0.555658\pi
410410 29.6402 46.1210i 1.46382 2.27775i
411411 −10.4174 11.7024i −0.513851 0.577236i
412412 22.6497 77.1378i 1.11587 3.80030i
413413 −1.47357 + 6.40167i −0.0725096 + 0.315006i
414414 34.9137 + 19.4935i 1.71592 + 0.958053i
415415 26.2228 1.28722
416416 40.3351 + 11.8435i 1.97759 + 0.580673i
417417 20.8383 + 23.4087i 1.02045 + 1.14633i
418418 −23.5489 + 36.6428i −1.15181 + 1.79226i
419419 −1.79768 + 12.5031i −0.0878223 + 0.610818i 0.897615 + 0.440780i 0.145298π0.145298\pi
−0.985438 + 0.170038i 0.945611π0.945611\pi
420420 12.9505 + 59.1548i 0.631922 + 2.88646i
421421 7.47689 + 16.3721i 0.364401 + 0.797928i 0.999671 + 0.0256376i 0.00816158π0.00816158\pi
−0.635270 + 0.772290i 0.719111π0.719111\pi
422422 −18.4060 + 15.9489i −0.895990 + 0.776380i
423423 1.53570 13.1728i 0.0746681 0.640482i
424424 −19.3971 + 42.4737i −0.942006 + 2.06270i
425425 1.13022 0.331863i 0.0548239 0.0160977i
426426 −6.39399 + 1.00675i −0.309790 + 0.0487774i
427427 −2.92767 + 3.81427i −0.141680 + 0.184585i
428428 −21.6394 + 3.11128i −1.04598 + 0.150390i
429429 4.64127 + 7.01395i 0.224083 + 0.338637i
430430 43.3036 19.7761i 2.08829 0.953688i
431431 6.07000 + 9.44511i 0.292382 + 0.454955i 0.956105 0.293023i 0.0946613π-0.0946613\pi
−0.663724 + 0.747978i 0.731025π0.731025\pi
432432 −45.5826 + 77.6039i −2.19309 + 3.73372i
433433 −1.71705 + 2.67178i −0.0825162 + 0.128398i −0.880058 0.474865i 0.842497π-0.842497\pi
0.797542 + 0.603263i 0.206133π0.206133\pi
434434 −15.7847 21.6240i −0.757690 1.03798i
435435 −7.12509 + 16.1705i −0.341622 + 0.775318i
436436 26.7936 1.28318
437437 14.8897 18.4595i 0.712269 0.883036i
438438 27.3001 + 3.55328i 1.30445 + 0.169782i
439439 9.10173 30.9976i 0.434402 1.47944i −0.393899 0.919154i 0.628874π-0.628874\pi
0.828301 0.560283i 0.189308π-0.189308\pi
440440 49.5915 57.2316i 2.36418 2.72841i
441441 −5.96982 20.1336i −0.284277 0.958742i
442442 −2.17181 + 15.1053i −0.103302 + 0.718484i
443443 −1.13678 1.76887i −0.0540102 0.0840416i 0.813198 0.581987i 0.197724π-0.197724\pi
−0.867209 + 0.497945i 0.834088π0.834088\pi
444444 −14.7967 48.0088i −0.702222 2.27840i
445445 5.12961 + 5.91989i 0.243167 + 0.280630i
446446 −6.13370 42.6608i −0.290439 2.02005i
447447 14.9507 + 9.32814i 0.707143 + 0.441206i
448448 6.53094 + 109.902i 0.308558 + 5.19239i
449449 −6.84074 23.2974i −0.322834 1.09947i −0.947812 0.318830i 0.896710π-0.896710\pi
0.624977 0.780643i 0.285108π-0.285108\pi
450450 −2.11850 1.73873i −0.0998672 0.0819643i
451451 26.8060 3.85412i 1.26224 0.181483i
452452 −30.1138 + 26.0937i −1.41643 + 1.22735i
453453 5.58193 + 18.1109i 0.262262 + 0.850924i
454454 −34.8706 54.2598i −1.63656 2.54654i
455455 3.37559 8.72778i 0.158250 0.409164i
456456 67.7769 + 57.1604i 3.17394 + 2.67678i
457457 −24.5896 + 28.3779i −1.15025 + 1.32746i −0.213718 + 0.976895i 0.568557π0.568557\pi
−0.936537 + 0.350569i 0.885988π0.885988\pi
458458 −0.313148 0.0919485i −0.0146324 0.00429647i
459459 −17.2349 7.04997i −0.804456 0.329064i
460460 −46.4029 + 43.1626i −2.16355 + 2.01247i
461461 11.1746 0.520451 0.260226 0.965548i 0.416203π-0.416203\pi
0.260226 + 0.965548i 0.416203π0.416203\pi
462462 −24.1462 + 32.3449i −1.12338 + 1.50482i
463463 11.7093 13.5133i 0.544179 0.628016i −0.415338 0.909667i 0.636337π-0.636337\pi
0.959517 + 0.281651i 0.0908821π0.0908821\pi
464464 −41.3862 + 64.3982i −1.92131 + 2.98961i
465465 14.0209 + 3.91407i 0.650206 + 0.181510i
466466 36.9677 23.7577i 1.71250 1.10055i
467467 4.34397 + 9.51198i 0.201015 + 0.440162i 0.983114 0.182992i 0.0585783π-0.0585783\pi
−0.782099 + 0.623154i 0.785851π0.785851\pi
468468 23.6344 11.5669i 1.09250 0.534682i
469469 −20.7786 1.73790i −0.959468 0.0802487i
470470 25.7987 + 11.7819i 1.19001 + 0.543457i
471471 3.44385 + 21.8722i 0.158684 + 1.00782i
472472 −7.24089 24.6602i −0.333289 1.13508i
473473 21.3908 + 9.76885i 0.983550 + 0.449172i
474474 −32.0040 + 0.427958i −1.46999 + 0.0196568i
475475 −1.22845 + 1.06446i −0.0563651 + 0.0488406i
476476 −53.1706 + 10.8976i −2.43707 + 0.499489i
477477 4.15836 + 12.8777i 0.190398 + 0.589629i
478478 −1.49307 + 10.3845i −0.0682915 + 0.474978i
479479 −13.2334 8.50458i −0.604649 0.388584i 0.202198 0.979345i 0.435191π-0.435191\pi
−0.806847 + 0.590761i 0.798828π0.798828\pi
480480 −72.9389 81.9362i −3.32919 3.73986i
481481 −2.18717 + 7.44881i −0.0997262 + 0.339636i
482482 −25.7375 −1.17231
483483 14.9618 16.0980i 0.680785 0.732483i
484484 −5.47405 −0.248820
485485 2.35077 8.00600i 0.106743 0.363534i
486486 9.01692 + 42.3762i 0.409016 + 1.92222i
487487 −6.30080 4.04928i −0.285516 0.183490i 0.390041 0.920797i 0.372461π-0.372461\pi
−0.675558 + 0.737307i 0.736097π0.736097\pi
488488 2.67728 18.6209i 0.121195 0.842927i
489489 21.3384 10.0919i 0.964954 0.456370i
490490 44.8970 + 1.08175i 2.02824 + 0.0488684i
491491 −10.2500 + 8.88168i −0.462576 + 0.400825i −0.854728 0.519076i 0.826276π-0.826276\pi
0.392152 + 0.919900i 0.371731π0.371731\pi
492492 −1.13287 84.7196i −0.0510738 3.81946i
493493 −14.4069 6.57941i −0.648854 0.296322i
494494 −5.93288 20.2055i −0.266933 0.909090i
495495 −0.586852 21.9394i −0.0263771 0.986102i
496496 57.3629 + 26.1968i 2.57567 + 1.17627i
497497 −0.296509 + 3.54511i −0.0133002 + 0.159020i
498498 45.6040 30.1770i 2.04356 1.35227i
499499 12.2822 + 26.8944i 0.549829 + 1.20396i 0.956862 + 0.290544i 0.0938362π0.0938362\pi
−0.407033 + 0.913414i 0.633436π0.633436\pi
500500 −51.9291 + 33.3728i −2.32234 + 1.49248i
501501 −2.03977 + 7.30685i −0.0911301 + 0.326446i
502502 −38.2613 + 59.5357i −1.70768 + 2.65721i
503503 −7.51548 + 8.67332i −0.335099 + 0.386724i −0.898144 0.439702i 0.855084π-0.855084\pi
0.563045 + 0.826426i 0.309630π0.309630\pi
504504 58.9447 + 57.2370i 2.62561 + 2.54954i
505505 −44.4214 −1.97672
506506 −41.9980 4.53489i −1.86704 0.201601i
507507 18.2961 + 2.38135i 0.812560 + 0.105760i
508508 −23.8828 7.01262i −1.05963 0.311135i
509509 −5.29279 + 6.10821i −0.234599 + 0.270742i −0.860826 0.508899i 0.830053π-0.830053\pi
0.626227 + 0.779640i 0.284598π0.284598\pi
510510 25.6734 30.4418i 1.13684 1.34799i
511511 5.45810 14.1122i 0.241452 0.624289i
512512 −63.0548 98.1151i −2.78665 4.33612i
513513 25.6751 1.03047i 1.13358 0.0454965i
514514 −28.6444 + 24.8205i −1.26345 + 1.09478i
515515 32.0891 4.61371i 1.41401 0.203304i
516516 38.9446 62.4186i 1.71444 2.74782i
517517 3.94704 + 13.4424i 0.173591 + 0.591196i
518518 −37.1919 + 2.21013i −1.63412 + 0.0971074i
519519 −14.0376 + 22.4987i −0.616181 + 0.987586i
520520 5.21045 + 36.2394i 0.228493 + 1.58920i
521521 15.5574 + 17.9542i 0.681582 + 0.786588i 0.986142 0.165905i 0.0530547π-0.0530547\pi
−0.304559 + 0.952493i 0.598509π0.598509\pi
522522 6.21775 + 36.3217i 0.272143 + 1.58976i
523523 18.5645 + 28.8870i 0.811771 + 1.26314i 0.961607 + 0.274430i 0.0884890π0.0884890\pi
−0.149836 + 0.988711i 0.547875π0.547875\pi
524524 12.4531 86.6135i 0.544018 3.78373i
525525 −1.20465 + 0.904286i −0.0525753 + 0.0394663i
526526 30.1640 34.8112i 1.31521 1.51784i
527527 −3.67588 + 12.5189i −0.160124 + 0.545331i
528528 12.2713 94.2812i 0.534038 4.10306i
529529 22.4698 + 4.90977i 0.976950 + 0.213468i
530530 −28.9401 −1.25708
531531 −6.37163 3.85804i −0.276505 0.167425i
532532 60.4943 44.1586i 2.62276 1.91452i
533533 −7.07865 + 11.0146i −0.306610 + 0.477095i
534534 15.7335 + 4.39213i 0.680854 + 0.190066i
535535 −4.76621 7.41637i −0.206061 0.320638i
536536 74.2073 33.8893i 3.20527 1.46380i
537537 29.5345 19.5435i 1.27451 0.843366i
538538 −23.1056 + 3.32208i −0.996153 + 0.143225i
539539 14.1196 + 17.1108i 0.608173 + 0.737016i
540540 −68.3022 7.03843i −2.93926 0.302886i
541541 −7.66517 + 2.25070i −0.329551 + 0.0967650i −0.442323 0.896856i 0.645845π-0.645845\pi
0.112771 + 0.993621i 0.464027π0.464027\pi
542542 −0.696508 + 1.52514i −0.0299176 + 0.0655103i
543543 −26.2225 + 0.350647i −1.12531 + 0.0150477i
544544 74.3066 64.3870i 3.18587 2.76057i
545545 4.48836 + 9.82814i 0.192260 + 0.420991i
546546 −4.17341 19.0631i −0.178605 0.815824i
547547 −3.77240 + 26.2376i −0.161296 + 1.12184i 0.734898 + 0.678178i 0.237230π0.237230\pi
−0.896194 + 0.443663i 0.853679π0.853679\pi
548548 27.9950 43.5611i 1.19589 1.86084i
549549 −3.06922 4.50615i −0.130991 0.192318i
550550 2.77795 + 0.815679i 0.118452 + 0.0347807i
551551 21.8556 0.931078
552552 −20.1875 + 83.5819i −0.859236 + 3.55748i
553553 −3.94606 + 17.1430i −0.167803 + 0.728993i
554554 −14.9004 + 50.7462i −0.633059 + 2.15600i
555555 15.1314 13.4698i 0.642292 0.571763i
556556 −55.9995 + 87.1369i −2.37491 + 3.69543i
557557 2.82928 + 0.406789i 0.119881 + 0.0172362i 0.201994 0.979387i 0.435258π-0.435258\pi
−0.0821134 + 0.996623i 0.526167π0.526167\pi
558558 28.8881 9.32830i 1.22293 0.394898i
559559 −10.3417 + 4.72291i −0.437409 + 0.199758i
560560 −93.4491 + 49.5754i −3.94895 + 2.09494i
561561 19.6694 0.263020i 0.830445 0.0111047i
562562 14.3866 31.5023i 0.606863 1.32884i
563563 −37.7291 + 11.0782i −1.59009 + 0.466893i −0.952766 0.303704i 0.901777π-0.901777\pi
−0.637323 + 0.770596i 0.719958π0.719958\pi
564564 43.2978 6.81737i 1.82317 0.287063i
565565 −14.6160 6.67489i −0.614899 0.280815i
566566 4.32373 + 30.0722i 0.181740 + 1.26403i
567567 23.8011 + 0.713285i 0.999551 + 0.0299552i
568568 −5.78198 12.6608i −0.242606 0.531234i
569569 −9.75515 15.1793i −0.408957 0.636350i 0.574285 0.818656i 0.305280π-0.305280\pi
−0.983242 + 0.182306i 0.941644π0.941644\pi
570570 −14.7754 + 52.9286i −0.618875 + 2.21693i
571571 7.68936 + 4.94165i 0.321790 + 0.206802i 0.691556 0.722323i 0.256926π-0.256926\pi
−0.369766 + 0.929125i 0.620562π0.620562\pi
572572 −18.2032 + 21.0076i −0.761113 + 0.878371i
573573 6.54594 14.8561i 0.273460 0.620624i
574574 −61.2349 14.0954i −2.55590 0.588329i
575575 −1.45612 0.603931i −0.0607242 0.0251857i
576576 −120.678 31.9553i −5.02826 1.33147i
577577 −9.82120 + 33.4479i −0.408862 + 1.39246i 0.455791 + 0.890087i 0.349356π0.349356\pi
−0.864653 + 0.502369i 0.832462π0.832462\pi
578578 −8.73291 7.56711i −0.363241 0.314750i
579579 14.8973 + 12.5638i 0.619109 + 0.522132i
580580 −57.8077 8.31149i −2.40033 0.345116i
581581 −10.1632 28.2845i −0.421641 1.17344i
582582 −5.12504 16.6285i −0.212440 0.689272i
583583 −9.36164 10.8039i −0.387719 0.447452i
584584 8.42495 + 58.5968i 0.348627 + 2.42475i
585585 8.20201 + 6.73166i 0.339111 + 0.278320i
586586 2.03805 + 6.94095i 0.0841910 + 0.286728i
587587 2.20991 0.648887i 0.0912126 0.0267824i −0.235808 0.971800i 0.575774π-0.575774\pi
0.327020 + 0.945017i 0.393955π0.393955\pi
588588 58.7865 36.8955i 2.42431 1.52155i
589589 −2.56231 17.8212i −0.105578 0.734311i
590590 12.0387 10.4316i 0.495624 0.429461i
591591 −3.12730 + 0.963860i −0.128640 + 0.0396479i
592592 73.8281 47.4464i 3.03432 1.95004i
593593 1.46769 10.2080i 0.0602709 0.419193i −0.937240 0.348684i 0.886629π-0.886629\pi
0.997511 0.0705090i 0.0224624π-0.0224624\pi
594594 −26.2683 37.4794i −1.07780 1.53780i
595595 −12.9043 17.6780i −0.529024 0.724727i
596596 −16.4085 + 55.8822i −0.672118 + 2.28903i
597597 −1.54751 + 11.8896i −0.0633352 + 0.486610i
598598 14.9537 13.9095i 0.611502 0.568801i
599599 15.2575i 0.623405i −0.950180 0.311703i 0.899101π-0.899101\pi
0.950180 0.311703i 0.100899π-0.100899\pi
600600 2.37628 5.39300i 0.0970111 0.220168i
601601 −31.8021 27.5567i −1.29724 1.12406i −0.984719 0.174150i 0.944282π-0.944282\pi
−0.312518 0.949912i 0.601172π-0.601172\pi
602602 −38.1142 39.0436i −1.55342 1.59130i
603603 9.24309 21.7614i 0.376408 0.886192i
604604 −52.6923 + 33.8633i −2.14402 + 1.37788i
605605 −0.916992 2.00793i −0.0372810 0.0816341i
606606 −77.2531 + 51.1199i −3.13819 + 2.07660i
607607 11.7656 1.69164i 0.477552 0.0686616i 0.100664 0.994920i 0.467903π-0.467903\pi
0.376888 + 0.926259i 0.376994π0.376994\pi
608608 −56.3623 + 123.416i −2.28579 + 5.00518i
609609 20.2034 + 1.41804i 0.818684 + 0.0574619i
610610 11.1874 3.28493i 0.452966 0.133003i
611611 −6.16123 2.81374i −0.249257 0.113832i
612612 7.12650 61.1291i 0.288072 2.47100i
613613 −3.34273 3.85772i −0.135012 0.155812i 0.684218 0.729278i 0.260144π-0.260144\pi
−0.819229 + 0.573466i 0.805598π0.805598\pi
614614 −29.3241 64.2109i −1.18343 2.59134i
615615 30.8862 14.6075i 1.24545 0.589030i
616616 −80.9516 31.3091i −3.26163 1.26148i
617617 −21.0021 + 32.6799i −0.845512 + 1.31564i 0.101628 + 0.994823i 0.467595π0.467595\pi
−0.947140 + 0.320821i 0.896041π0.896041\pi
618618 50.4966 44.9517i 2.03127 1.80822i
619619 2.03990 6.94726i 0.0819905 0.279234i −0.908285 0.418351i 0.862608π-0.862608\pi
0.990276 + 0.139117i 0.0444264π0.0444264\pi
620620 48.1113i 1.93220i
621621 12.0292 + 21.8243i 0.482713 + 0.875778i
622622 17.9502i 0.719738i
623623 4.39724 7.82731i 0.176172 0.313594i
624624 30.5633 + 34.3334i 1.22351 + 1.37444i
625625 −22.3230 14.3462i −0.892922 0.573846i
626626 −2.33404 + 16.2336i −0.0932869 + 0.648825i
627627 −24.5389 + 11.6055i −0.979988 + 0.463480i
628628 −66.5658 + 30.3996i −2.65626 + 1.21308i
629629 11.8905 + 13.7224i 0.474107 + 0.547149i
630630 −17.0927 + 47.9688i −0.680988 + 1.91112i
631631 11.0313 24.1552i 0.439150 0.961605i −0.552603 0.833444i 0.686366π-0.686366\pi
0.991753 0.128160i 0.0409072π-0.0409072\pi
632632 −19.3903 66.0373i −0.771305 2.62682i
633633 −14.9931 + 2.36070i −0.595920 + 0.0938295i
634634 −31.9021 + 69.8559i −1.26700 + 2.77433i
635635 −1.42846 9.93516i −0.0566867 0.394265i
636636 −37.2985 + 24.6811i −1.47898 + 0.978670i
637637 −10.7223 0.258342i −0.424832 0.0102359i
638638 −21.0462 32.7485i −0.833227 1.29653i
639639 −3.71278 1.57699i −0.146875 0.0623849i
640640 75.8548 118.032i 2.99843 4.66564i
641641 24.8743 + 21.5537i 0.982477 + 0.851321i 0.988889 0.148658i 0.0474955π-0.0474955\pi
−0.00641177 + 0.999979i 0.502041π0.502041\pi
642642 −16.8236 7.41286i −0.663976 0.292562i
643643 44.4492i 1.75290i 0.481489 + 0.876452i 0.340096π0.340096\pi
−0.481489 + 0.876452i 0.659904π0.659904\pi
644644 64.5407 + 33.3227i 2.54326 + 1.31310i
645645 29.4196 + 3.82914i 1.15840 + 0.150772i
646646 −47.2583 13.8763i −1.85935 0.545955i
647647 24.9141 28.7524i 0.979473 1.13037i −0.0119832 0.999928i 0.503814π-0.503814\pi
0.991456 0.130443i 0.0416401π-0.0416401\pi
648648 −82.5536 + 43.1762i −3.24301 + 1.69612i
649649 7.78861 + 1.11983i 0.305730 + 0.0439573i
650650 −1.17754 + 0.756759i −0.0461869 + 0.0296825i
651651 −1.21233 16.6403i −0.0475149 0.652185i
652652 51.0879 + 58.9586i 2.00076 + 2.30900i
653653 8.40847 1.20896i 0.329049 0.0473101i 0.0241893 0.999707i 0.492300π-0.492300\pi
0.304860 + 0.952397i 0.401390π0.401390\pi
654654 19.1159 + 11.9269i 0.747490 + 0.466379i
655655 33.8568 9.94125i 1.32289 0.388437i
656656 142.015 41.6992i 5.54474 1.62808i
657657 13.2621 + 10.8847i 0.517404 + 0.424651i
658658 2.70934 32.3934i 0.105621 1.26283i
659659 17.0091 14.7385i 0.662582 0.574131i −0.257297 0.966332i 0.582832π-0.582832\pi
0.919879 + 0.392202i 0.128286π0.128286\pi
660660 69.3185 21.3646i 2.69822 0.831614i
661661 6.85632 + 10.6686i 0.266680 + 0.414962i 0.948606 0.316459i 0.102494π-0.102494\pi
−0.681926 + 0.731421i 0.738857π0.738857\pi
662662 −77.6414 11.1631i −3.01762 0.433868i
663663 −6.13131 + 7.27009i −0.238121 + 0.282347i
664664 88.8679 + 77.0045i 3.44874 + 2.98835i
665665 26.3316 + 14.7926i 1.02110 + 0.573633i
666666 10.8140 40.8385i 0.419032 1.58246i
667667 9.47877 + 18.9580i 0.367019 + 0.734058i
668668 −25.0726 −0.970090
669669 10.8302 24.5793i 0.418719 0.950290i
670670 38.2124 + 33.1113i 1.47627 + 1.27920i
671671 4.84527 + 3.11387i 0.187050 + 0.120210i
672672 −60.1092 + 110.430i −2.31876 + 4.25992i
673673 −8.07944 + 5.19234i −0.311439 + 0.200150i −0.687018 0.726641i 0.741081π-0.741081\pi
0.375578 + 0.926791i 0.377444π0.377444\pi
674674 73.7860 33.6969i 2.84213 1.29796i
675675 −0.546525 1.61817i −0.0210358 0.0622836i
676676 8.67825 + 60.3585i 0.333779 + 2.32148i
677677 17.4952 38.3092i 0.672395 1.47234i −0.198109 0.980180i 0.563480π-0.563480\pi
0.870505 0.492160i 0.163793π-0.163793\pi
678678 −33.1001 + 5.21170i −1.27120 + 0.200154i
679679 −9.54655 + 0.567303i −0.366363 + 0.0217711i
680680 77.8930 + 35.5725i 2.98706 + 1.36414i
681681 −0.537446 40.1919i −0.0205950 1.54016i
682682 −24.2360 + 21.0006i −0.928046 + 0.804156i
683683 38.9601 17.7925i 1.49077 0.680810i 0.507277 0.861783i 0.330652π-0.330652\pi
0.983488 + 0.180973i 0.0579247π0.0579247\pi
684684 26.0965 + 80.8162i 0.997824 + 3.09008i
685685 20.6683 + 2.97165i 0.789694 + 0.113541i
686686 −16.2340 48.8462i −0.619818 1.86496i
687687 −0.135237 0.151919i −0.00515960 0.00579606i
688688 123.316 + 36.2088i 4.70138 + 1.38045i
689689 6.91146 0.263306
690690 −52.3197 + 10.1386i −1.99178 + 0.385968i
691691 24.3874i 0.927740i −0.885903 0.463870i 0.846461π-0.846461\pi
0.885903 0.463870i 0.153539π-0.153539\pi
692692 −84.0951 24.6926i −3.19682 0.938670i
693693 −23.4369 + 9.13609i −0.890294 + 0.347051i
694694 −0.516545 0.331963i −0.0196078 0.0126012i
695695 −41.3435 5.94430i −1.56825 0.225480i
696696 −71.6323 + 33.8781i −2.71522 + 1.28415i
697697 12.7213 + 27.8558i 0.481854 + 1.05511i
698698 51.5741 + 59.5197i 1.95211 + 2.25285i
699699 27.3831 0.366167i 1.03572 0.0138497i
700700 −3.94914 3.03119i −0.149264 0.114568i
701701 −8.87647 30.2305i −0.335260 1.14179i −0.938802 0.344458i 0.888063π-0.888063\pi
0.603542 0.797331i 0.293756π-0.293756\pi
702702 22.0109 + 2.26819i 0.830747 + 0.0856072i
703703 −22.7916 10.4086i −0.859603 0.392567i
704704 130.535 18.7681i 4.91973 0.707351i
705705 9.75376 + 14.7400i 0.367348 + 0.555141i
706706 11.5862 5.29124i 0.436053 0.199139i
707707 17.2165 + 47.9139i 0.647493 + 1.80199i
708708 6.61922 23.7114i 0.248766 0.891127i
709709 21.1148 + 13.5696i 0.792981 + 0.509618i 0.873318 0.487150i 0.161963π-0.161963\pi
−0.0803373 + 0.996768i 0.525600π0.525600\pi
710710 5.64922 6.51955i 0.212012 0.244674i
711711 −17.0625 10.3314i −0.639895 0.387458i
712712 35.1257i 1.31639i
713713 14.3473 9.95168i 0.537311 0.372693i
714714 −42.7856 15.8936i −1.60121 0.594802i
715715 −10.7551 3.15799i −0.402218 0.118102i
716716 88.4590 + 76.6502i 3.30587 + 2.86455i
717717 −4.21514 + 4.99803i −0.157417 + 0.186655i
718718 −0.480800 + 3.34404i −0.0179433 + 0.124798i
719719 −27.4676 + 17.6523i −1.02437 + 0.658321i −0.941073 0.338204i 0.890181π-0.890181\pi
−0.0832950 + 0.996525i 0.526544π0.526544\pi
720720 −20.2391 118.229i −0.754267 4.40614i
721721 −17.4133 32.8239i −0.648505 1.22243i
722722 15.0054 2.15745i 0.558442 0.0802919i
723723 −13.6081 8.49044i −0.506089 0.315763i
724724 −24.4188 83.1628i −0.907518 3.09072i
725725 −0.409279 1.39388i −0.0152002 0.0517672i
726726 −3.90546 2.43672i −0.144945 0.0904353i
727727 −37.2977 + 5.36260i −1.38329 + 0.198888i −0.793453 0.608631i 0.791719π-0.791719\pi
−0.589842 + 0.807519i 0.700810π0.700810\pi
728728 37.0693 19.6655i 1.37388 0.728853i
729729 −9.21185 + 25.3799i −0.341180 + 0.939998i
730730 −30.8667 + 19.8368i −1.14243 + 0.734193i
731731 −3.78430 + 26.3204i −0.139967 + 0.973495i
732732 11.6170 13.7747i 0.429378 0.509128i
733733 −8.98240 7.78329i −0.331772 0.287482i 0.473004 0.881060i 0.343170π-0.343170\pi
−0.804777 + 0.593578i 0.797715π0.797715\pi
734734 −1.69206 0.496833i −0.0624550 0.0183384i
735735 23.3813 + 15.3828i 0.862434 + 0.567405i
736736 −131.499 + 4.63563i −4.84710 + 0.170871i
737737 24.9764i 0.920017i
738738 36.9039 60.9476i 1.35845 2.24351i
739739 32.5350 37.5474i 1.19682 1.38120i 0.291443 0.956588i 0.405865π-0.405865\pi
0.905375 0.424614i 0.139590π-0.139590\pi
740740 56.3253 + 36.1981i 2.07056 + 1.33067i
741741 3.52866 12.6404i 0.129629 0.464355i
742742 11.2164 + 31.2155i 0.411766 + 1.14596i
743743 −3.08830 + 1.41038i −0.113299 + 0.0517418i −0.471258 0.881995i 0.656200π-0.656200\pi
0.357959 + 0.933737i 0.383473π0.383473\pi
744744 36.0226 + 54.4379i 1.32065 + 1.99579i
745745 −23.2468 + 3.34239i −0.851698 + 0.122456i
746746 4.40686 + 2.01255i 0.161347 + 0.0736845i
747747 34.0670 0.911251i 1.24645 0.0333409i
748748 18.3165 + 62.3803i 0.669718 + 2.28085i
749749 −6.15222 + 8.01533i −0.224797 + 0.292874i
750750 −51.9045 + 0.694067i −1.89528 + 0.0253437i
751751 8.15612 + 9.41266i 0.297621 + 0.343473i 0.884789 0.465992i 0.154303π-0.154303\pi
−0.587168 + 0.809465i 0.699757π0.699757\pi
752752 31.8078 + 69.6494i 1.15991 + 2.53985i
753753 −39.8697 + 18.8562i −1.45293 + 0.687158i
754754 18.6289 + 2.67844i 0.678426 + 0.0975430i
755755 −21.2482 13.6554i −0.773301 0.496971i
756756 18.8802 + 76.4002i 0.686666 + 2.77865i
757757 30.6528 + 9.00047i 1.11409 + 0.327128i 0.786438 0.617669i 0.211923π-0.211923\pi
0.327657 + 0.944797i 0.393741π0.393741\pi
758758 67.6210i 2.45611i
759759 −20.7095 16.2523i −0.751705 0.589921i
760760 −118.165 −4.28630
761761 −15.2475 4.47706i −0.552720 0.162293i −0.00656669 0.999978i 0.502090π-0.502090\pi
−0.546153 + 0.837685i 0.683908π0.683908\pi
762762 −13.9176 15.6344i −0.504181 0.566373i
763763 8.86130 8.65036i 0.320800 0.313164i
764764 53.1088 + 7.63589i 1.92141 + 0.276257i
765765 23.6165 7.62605i 0.853858 0.275721i
766766 58.4925 26.7126i 2.11342 0.965166i
767767 −2.87507 + 2.49126i −0.103813 + 0.0899542i
768768 −1.98476 148.427i −0.0716190 5.35588i
769769 27.0063 + 12.3334i 0.973873 + 0.444753i 0.837819 0.545949i 0.183831π-0.183831\pi
0.136054 + 0.990701i 0.456558π0.456558\pi
770770 −3.19114 53.7003i −0.115001 1.93522i
771771 −23.3330 + 3.67384i −0.840316 + 0.132310i
772772 −26.7560 + 58.5874i −0.962969 + 2.10861i
773773 −5.64336 39.2504i −0.202977 1.41174i −0.795387 0.606102i 0.792732π-0.792732\pi
0.592410 0.805637i 0.298177π-0.298177\pi
774774 55.5701 27.1967i 1.99743 0.977565i
775775 −1.08860 + 0.497145i −0.0391035 + 0.0178580i
776776 31.4767 20.2288i 1.12995 0.726173i
777777 −20.3934 11.1005i −0.731609 0.398230i
778778 −48.1956 30.9734i −1.72790 1.11045i
779779 −31.9363 27.6729i −1.14424 0.991486i
780780 −14.1403 + 32.0917i −0.506304 + 1.14907i
781781 4.26130 0.152481
782782 −8.45932 47.0112i −0.302505 1.68112i
783783 −8.69455 + 21.2554i −0.310718 + 0.759605i
784784 89.6915 + 81.5824i 3.20327 + 2.91366i
785785 −22.3017 19.3245i −0.795982 0.689723i
786786 47.4399 56.2510i 1.69213 2.00641i
787787 6.70153 + 0.963535i 0.238884 + 0.0343463i 0.260717 0.965415i 0.416041π-0.416041\pi
−0.0218330 + 0.999762i 0.506950π0.506950\pi
788788 −5.84734 9.09864i −0.208303 0.324126i
789789 27.4322 8.45485i 0.976613 0.301001i
790790 32.2382 27.9346i 1.14698 0.993868i
791791 −1.53495 + 18.3521i −0.0545765 + 0.652527i
792792 62.4373 76.0751i 2.21861 2.70321i
793793 −2.67178 + 0.784504i −0.0948775 + 0.0278586i
794794 95.7158 28.1047i 3.39683 0.997398i
795795 −15.3014 9.54694i −0.542684 0.338595i
796796 −39.2236 + 5.63950i −1.39024 + 0.199887i
797797 −8.70235 10.0430i −0.308253 0.355743i 0.580393 0.814336i 0.302899π-0.302899\pi
−0.888646 + 0.458594i 0.848353π0.848353\pi
798798 62.8165 4.57649i 2.22368 0.162006i
799799 −13.3271 + 8.56482i −0.471480 + 0.303002i
800800 8.92654 + 1.28344i 0.315601 + 0.0453766i
801801 6.86979 + 7.51250i 0.242732 + 0.265441i
802802 −4.41607 + 5.09641i −0.155937 + 0.179961i
803803 −17.3903 5.10626i −0.613691 0.180196i
804804 77.4872 + 10.0854i 2.73276 + 0.355686i
805805 −1.41144 + 29.2563i −0.0497469 + 1.03115i
806806 15.5042i 0.546113i
807807 −13.3124 5.86575i −0.468620 0.206484i
808808 −150.542 130.446i −5.29606 4.58906i
809809 −12.7835 + 19.8915i −0.449444 + 0.699349i −0.989860 0.142050i 0.954631π-0.954631\pi
0.540415 + 0.841398i 0.318267π0.318267\pi
810810 −45.5971 35.4257i −1.60212 1.24473i
811811 −0.707806 1.10137i −0.0248544 0.0386742i 0.828604 0.559835i 0.189136π-0.189136\pi
−0.853458 + 0.521161i 0.825499π0.825499\pi
812812 13.4397 + 65.5740i 0.471640 + 2.30120i
813813 −0.871384 + 0.576612i −0.0305608 + 0.0202227i
814814 6.35130 + 44.1743i 0.222613 + 1.54831i
815815 −13.0685 + 28.6161i −0.457771 + 1.00238i
816816 106.201 16.7217i 3.71779 0.585377i
817817 −10.3378 35.2074i −0.361675 1.23175i
818818 1.49662 3.27715i 0.0523282 0.114583i
819819 4.08206 11.4559i 0.142639 0.400301i
820820 73.9472 + 85.3397i 2.58235 + 2.98019i
821821 −43.2392 + 19.7467i −1.50906 + 0.689164i −0.986549 0.163469i 0.947732π-0.947732\pi
−0.522511 + 0.852633i 0.675004π0.675004\pi
822822 39.3639 18.6170i 1.37297 0.649341i
823823 −4.94775 + 34.4124i −0.172468 + 1.19954i 0.701181 + 0.712983i 0.252656π0.252656\pi
−0.873649 + 0.486557i 0.838253π0.838253\pi
824824 122.297 + 78.5955i 4.26042 + 2.73801i
825825 1.19969 + 1.34768i 0.0417679 + 0.0469201i
826826 −15.9176 8.94220i −0.553843 0.311139i
827827 34.2214i 1.18999i −0.803728 0.594997i 0.797153π-0.797153\pi
0.803728 0.594997i 0.202847π-0.202847\pi
828828 −58.7839 + 57.6867i −2.04288 + 2.00475i
829829 3.94347i 0.136962i 0.997652 + 0.0684811i 0.0218153π0.0218153\pi
−0.997652 + 0.0684811i 0.978185π0.978185\pi
830830 −20.5329 + 69.9286i −0.712707 + 2.42726i
831831 −24.6187 + 21.9154i −0.854015 + 0.760237i
832832 −34.4704 + 53.6370i −1.19505 + 1.85953i
833833 −14.0666 + 20.7704i −0.487377 + 0.719650i
834834 −78.7411 + 37.2402i −2.72658 + 1.28952i
835835 −4.20008 9.19689i −0.145350 0.318272i
836836 −58.7505 67.8017i −2.03193 2.34497i
837837 18.3512 + 4.59768i 0.634309 + 0.158919i
838838 −31.9346 14.5841i −1.10316 0.503798i
839839 −3.97127 + 1.16607i −0.137104 + 0.0402573i −0.349564 0.936912i 0.613670π-0.613670\pi
0.212461 + 0.977170i 0.431852π0.431852\pi
840840 −109.233 7.66685i −3.76889 0.264531i
841841 3.93281 8.61166i 0.135614 0.296954i
842842 −49.5143 + 7.11907i −1.70637 + 0.245340i
843843 17.9987 11.9101i 0.619910 0.410206i
844844 −20.8384 45.6298i −0.717288 1.57064i
845845 −20.6863 + 13.2943i −0.711632 + 0.457338i
846846 33.9255 + 14.4098i 1.16638 + 0.495418i
847847 −1.81040 + 1.76731i −0.0622062 + 0.0607254i
848848 −59.0469 51.1644i −2.02768 1.75699i
849849 −7.63434 + 17.3263i −0.262010 + 0.594637i
850850 3.27383i 0.112292i
851851 −0.856076 24.2842i −0.0293459 0.832453i
852852 1.72071 13.2204i 0.0589505 0.452922i
853853 −0.429722 + 1.46350i −0.0147134 + 0.0501092i −0.966522 0.256582i 0.917404π-0.917404\pi
0.951809 + 0.306691i 0.0992218π0.0992218\pi
854854 −7.87914 10.7939i −0.269619 0.369359i
855855 −25.2726 + 23.1105i −0.864304 + 0.790361i
856856 5.62605 39.1300i 0.192294 1.33744i
857857 11.5127 7.39877i 0.393267 0.252737i −0.329031 0.944319i 0.606722π-0.606722\pi
0.722298 + 0.691582i 0.243086π0.243086\pi
858858 −22.3384 + 6.88489i −0.762620 + 0.235046i
859859 −22.5246 + 19.5176i −0.768528 + 0.665933i −0.948157 0.317801i 0.897056π-0.897056\pi
0.179630 + 0.983734i 0.442510π0.442510\pi
860860 13.9544 + 97.0546i 0.475839 + 3.30954i
861861 −27.7266 27.6531i −0.944920 0.942417i
862862 −29.9403 + 8.79127i −1.01977 + 0.299432i
863863 −1.33351 4.54152i −0.0453932 0.154595i 0.933678 0.358114i 0.116580π-0.116580\pi
−0.979071 + 0.203519i 0.934762π0.934762\pi
864864 −97.6050 103.912i −3.32059 3.53515i
865865 −5.02984 34.9833i −0.171020 1.18947i
866866 −5.78040 6.67093i −0.196426 0.226688i
867867 −2.12103 6.88179i −0.0720339 0.233718i
868868 51.8940 18.6466i 1.76140 0.632908i
869869 20.8571 + 2.99879i 0.707527 + 0.101727i
870870 −37.5431 31.6624i −1.27283 1.07346i
871871 −9.12587 7.90761i −0.309218 0.267939i
872872 −13.6500 + 46.4875i −0.462246 + 1.57426i
873873 2.77577 10.4826i 0.0939455 0.354782i
874874 37.5672 + 54.1605i 1.27073 + 1.83201i
875875 −6.39976 + 27.8027i −0.216351 + 0.939901i
876876 −22.8639 + 51.8901i −0.772501 + 1.75321i
877877 22.5572 26.0324i 0.761702 0.879051i −0.233945 0.972250i 0.575164π-0.575164\pi
0.995648 + 0.0931985i 0.0297091π0.0297091\pi
878878 75.5350 + 48.5434i 2.54918 + 1.63826i
879879 −1.21216 + 4.34219i −0.0408851 + 0.146458i
880880 68.5065 + 106.598i 2.30935 + 3.59342i
881881 0.374052 + 0.819060i 0.0126021 + 0.0275948i 0.915828 0.401570i 0.131535π-0.131535\pi
−0.903226 + 0.429165i 0.858808π0.858808\pi
882882 58.3650 0.154848i 1.96525 0.00521399i
883883 −3.70150 25.7445i −0.124565 0.866371i −0.952281 0.305223i 0.901269π-0.901269\pi
0.827715 0.561148i 0.189640π-0.189640\pi
884884 −28.5916 13.0573i −0.961640 0.439166i
885885 9.80638 1.54404i 0.329638 0.0519025i
886886 5.60719 1.64642i 0.188377 0.0553125i
887887 −11.5425 + 25.2746i −0.387560 + 0.848638i 0.610822 + 0.791768i 0.290839π0.290839\pi
−0.998382 + 0.0568697i 0.981888π0.981888\pi
888888 90.8346 1.21464i 3.04821 0.0407607i
889889 −10.1627 + 5.39137i −0.340845 + 0.180821i
890890 −19.8032 + 9.04383i −0.663805 + 0.303150i
891891 −1.52480 28.4819i −0.0510829 0.954179i
892892 87.8679 + 12.6335i 2.94203 + 0.423001i
893893 11.8189 18.3905i 0.395503 0.615415i
894894 −36.5821 + 32.5651i −1.22349 + 1.08914i
895895 −13.2977 + 45.2878i −0.444493 + 1.51380i
896896 −156.712 36.0727i −5.23537 1.20510i
897897 12.4949 2.42128i 0.417194 0.0808443i
898898 67.4839 2.25197
899899 15.4392 + 4.53336i 0.514927 + 0.151196i
900900 4.66549 3.17775i 0.155516 0.105925i
901901 8.73949 13.5989i 0.291155 0.453046i
902902 −10.7117 + 74.5017i −0.356661 + 2.48063i
903903 −7.27202 33.2167i −0.241998 1.10538i
904904 −29.9318 65.5415i −0.995517 2.17988i
905905 26.4144 22.8882i 0.878044 0.760829i
906906 −52.6673 + 0.704268i −1.74975 + 0.0233977i
907907 15.0360 32.9243i 0.499263 1.09323i −0.477445 0.878661i 0.658437π-0.658437\pi
0.976708 0.214572i 0.0688356π-0.0688356\pi
908908 127.466 37.4274i 4.23010 1.24207i
909909 −57.7095 + 1.54366i −1.91410 + 0.0512000i
910910 20.6313 + 15.8357i 0.683922 + 0.524949i
911911 46.3607 6.66566i 1.53600 0.220843i 0.678218 0.734861i 0.262753π-0.262753\pi
0.857779 + 0.514018i 0.171844π0.171844\pi
912912 −123.721 + 81.8687i −4.09682 + 2.71095i
913913 −32.7477 + 14.9554i −1.08379 + 0.494951i
914914 −56.4217 87.7939i −1.86626 2.90396i
915915 6.99874 + 1.95376i 0.231371 + 0.0645892i
916916 0.363427 0.565504i 0.0120080 0.0186848i
917917 −23.8448 32.6658i −0.787425 1.07872i
918918 32.2955 40.4403i 1.06591 1.33473i
919919 −21.8054 −0.719292 −0.359646 0.933089i 0.617103π-0.617103\pi
−0.359646 + 0.933089i 0.617103π0.617103\pi
920920 −51.2483 102.499i −1.68961 3.37931i
921921 5.67787 43.6236i 0.187092 1.43745i
922922 −8.74988 + 29.7994i −0.288162 + 0.981389i
923923 −1.34914 + 1.55700i −0.0444076 + 0.0512491i
924924 −49.9102 66.4883i −1.64193 2.18730i
925925 −0.237017 + 1.64849i −0.00779308 + 0.0542021i
926926 26.8675 + 41.8066i 0.882919 + 1.37385i
927927 41.5278 7.10896i 1.36395 0.233489i
928928 −79.4069 91.6404i −2.60666 3.00824i
929929 −6.00589 41.7719i −0.197047 1.37049i −0.812795 0.582549i 0.802055π-0.802055\pi
0.615748 0.787943i 0.288854π-0.288854\pi
930930 −21.4163 + 34.3251i −0.702269 + 1.12556i
931931 5.75026 34.1351i 0.188457 1.11873i
932932 25.4996 + 86.8437i 0.835268 + 2.84466i
933933 5.92153 9.49074i 0.193862 0.310713i
934934 −28.7671 + 4.13609i −0.941289 + 0.135337i
935935 −19.8134 + 17.1684i −0.647967 + 0.561467i
936936 8.02842 + 46.8990i 0.262417 + 1.53294i
937937 −0.526204 0.818790i −0.0171903 0.0267487i 0.832552 0.553947i 0.186879π-0.186879\pi
−0.849742 + 0.527198i 0.823243π0.823243\pi
938938 20.9045 54.0498i 0.682556 1.76479i
939939 −6.58930 + 7.81315i −0.215034 + 0.254972i
940940 −38.2545 + 44.1480i −1.24772 + 1.43995i
941941 −9.11700 2.67699i −0.297206 0.0872674i 0.129730 0.991549i 0.458589π-0.458589\pi
−0.426936 + 0.904282i 0.640407π0.640407\pi
942942 −61.0235 7.94258i −1.98825 0.258783i
943943 10.1534 39.7041i 0.330641 1.29294i
944944 43.0051 1.39970
945945 −24.8616 + 19.7237i −0.808748 + 0.641613i
946946 −42.8001 + 49.3939i −1.39155 + 1.60593i
947947 6.20625 9.65711i 0.201676 0.313814i −0.725653 0.688061i 0.758462π-0.758462\pi
0.927329 + 0.374247i 0.122099π0.122099\pi
948948 17.7256 63.4964i 0.575699 2.06227i
949949 7.37156 4.73741i 0.239291 0.153783i
950950 −1.87670 4.10941i −0.0608883 0.133327i
951951 −39.9120 + 26.4105i −1.29423 + 0.856420i
952952 8.18021 97.8041i 0.265122 3.16985i
953953 −46.9016 21.4192i −1.51929 0.693837i −0.531136 0.847287i 0.678234π-0.678234\pi
−0.988156 + 0.153449i 0.950962π0.950962\pi
954954 −37.5972 + 1.00568i −1.21725 + 0.0325601i
955955 6.09567 + 20.7600i 0.197251 + 0.671777i
956956 −19.6561 8.97664i −0.635723 0.290325i
957957 −0.324376 24.2578i −0.0104856 0.784144i
958958 33.0412 28.6304i 1.06751 0.925006i
959959 −4.80516 23.4450i −0.155167 0.757079i
960960 150.405 71.1331i 4.85429 2.29581i
961961 −2.52528 + 17.5637i −0.0814606 + 0.566571i
962962 −18.1512 11.6651i −0.585220 0.376098i
963963 −6.44969 9.46926i −0.207838 0.305143i
964964 14.9349 50.8638i 0.481022 1.63821i
965965 −25.9725 −0.836085
966966 31.2133 + 52.5038i 1.00427 + 1.68928i
967967 13.7459 0.442037 0.221019 0.975270i 0.429062π-0.429062\pi
0.221019 + 0.975270i 0.429062π0.429062\pi
968968 2.78875 9.49760i 0.0896338 0.305265i
969969 −20.4091 22.9266i −0.655634 0.736509i
970970 19.5090 + 12.5377i 0.626396 + 0.402560i
971971 −7.41754 + 51.5902i −0.238040 + 1.65561i 0.423647 + 0.905827i 0.360750π0.360750\pi
−0.661688 + 0.749780i 0.730159π0.730159\pi
972972 −88.9785 6.77037i −2.85399 0.217160i
973973 9.61194 + 46.8979i 0.308145 + 1.50348i
974974 15.7319 13.6318i 0.504082 0.436790i
975975 −0.872240 + 0.0116636i −0.0279340 + 0.000373534i
976976 28.6334 + 13.0765i 0.916534 + 0.418567i
977977 8.38974 + 28.5728i 0.268411 + 0.914125i 0.977841 + 0.209349i 0.0671345π0.0671345\pi
−0.709430 + 0.704776i 0.751047π0.751047\pi
978978 10.2038 + 64.8054i 0.326282 + 2.07225i
979979 −9.78225 4.46740i −0.312642 0.142779i
980980 −28.1907 + 88.1002i −0.900518 + 2.81426i
981981 6.17253 + 12.6121i 0.197074 + 0.402674i
982982 −15.6590 34.2883i −0.499697 1.09418i
983983 26.7866 17.2147i 0.854359 0.549063i −0.0385726 0.999256i 0.512281π-0.512281\pi
0.892931 + 0.450193i 0.148645π0.148645\pi
984984 147.568 + 41.1948i 4.70429 + 1.31324i
985985 2.35794 3.66903i 0.0751304 0.116905i
986986 28.8263 33.2673i 0.918015 1.05945i
987987 12.1186 16.2335i 0.385741 0.516717i
988988 43.3740 1.37991
989989 26.0563 24.2368i 0.828542 0.770685i
990990 58.9656 + 15.6140i 1.87405 + 0.496244i
991991 −13.3358 3.91574i −0.423625 0.124387i 0.0629696 0.998015i 0.479943π-0.479943\pi
−0.486594 + 0.873628i 0.661761π0.661761\pi
992992 −65.4149 + 75.4929i −2.07693 + 2.39690i
993993 −37.3684 31.5151i −1.18585 1.00010i
994994 −9.22162 3.56659i −0.292492 0.113125i
995995 −8.63922 13.4429i −0.273882 0.426168i
996996 33.1744 + 107.636i 1.05117 + 3.41058i
997997 37.6630 32.6352i 1.19280 1.03357i 0.194185 0.980965i 0.437794π-0.437794\pi
0.998616 0.0526021i 0.0167515π-0.0167515\pi
998998 −81.3368 + 11.6945i −2.57467 + 0.370182i
999999 19.1897 18.0250i 0.607135 0.570286i
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 483.2.v.a.41.1 600
3.2 odd 2 inner 483.2.v.a.41.60 yes 600
7.6 odd 2 inner 483.2.v.a.41.2 yes 600
21.20 even 2 inner 483.2.v.a.41.59 yes 600
23.9 even 11 inner 483.2.v.a.377.59 yes 600
69.32 odd 22 inner 483.2.v.a.377.2 yes 600
161.55 odd 22 inner 483.2.v.a.377.60 yes 600
483.377 even 22 inner 483.2.v.a.377.1 yes 600
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.v.a.41.1 600 1.1 even 1 trivial
483.2.v.a.41.2 yes 600 7.6 odd 2 inner
483.2.v.a.41.59 yes 600 21.20 even 2 inner
483.2.v.a.41.60 yes 600 3.2 odd 2 inner
483.2.v.a.377.1 yes 600 483.377 even 22 inner
483.2.v.a.377.2 yes 600 69.32 odd 22 inner
483.2.v.a.377.59 yes 600 23.9 even 11 inner
483.2.v.a.377.60 yes 600 161.55 odd 22 inner