Properties

Label 280.2.bv.e.117.16
Level $280$
Weight $2$
Character 280.117
Analytic conductor $2.236$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [280,2,Mod(117,280)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(280, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.117");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bv (of order \(12\), degree \(4\), 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: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(40\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 117.16
Character \(\chi\) \(=\) 280.117
Dual form 280.2.bv.e.213.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.464402 - 1.33579i) q^{2} +(-0.0539369 - 0.0144524i) q^{3} +(-1.56866 + 1.24069i) q^{4} +(1.91563 + 1.15341i) q^{5} +(0.00574315 + 0.0787600i) q^{6} +(-1.56007 - 2.13686i) q^{7} +(2.38578 + 1.51922i) q^{8} +(-2.59538 - 1.49844i) q^{9} +O(q^{10})\) \(q+(-0.464402 - 1.33579i) q^{2} +(-0.0539369 - 0.0144524i) q^{3} +(-1.56866 + 1.24069i) q^{4} +(1.91563 + 1.15341i) q^{5} +(0.00574315 + 0.0787600i) q^{6} +(-1.56007 - 2.13686i) q^{7} +(2.38578 + 1.51922i) q^{8} +(-2.59538 - 1.49844i) q^{9} +(0.651085 - 3.09453i) q^{10} +(3.24498 - 1.87349i) q^{11} +(0.102540 - 0.0442480i) q^{12} +(4.30261 - 4.30261i) q^{13} +(-2.12990 + 3.07629i) q^{14} +(-0.0866538 - 0.0898967i) q^{15} +(0.921393 - 3.89243i) q^{16} +(5.23089 + 1.40161i) q^{17} +(-0.796301 + 4.16275i) q^{18} +(-1.52477 - 0.880325i) q^{19} +(-4.43600 + 0.567393i) q^{20} +(0.0532626 + 0.137802i) q^{21} +(-4.00956 - 3.46455i) q^{22} +(-1.28897 - 4.81052i) q^{23} +(-0.106726 - 0.116422i) q^{24} +(2.33930 + 4.41901i) q^{25} +(-7.74552 - 3.74924i) q^{26} +(0.236784 + 0.236784i) q^{27} +(5.09840 + 1.41646i) q^{28} -4.27178 q^{29} +(-0.0798407 + 0.157499i) q^{30} +(-5.03109 + 2.90470i) q^{31} +(-5.62736 + 0.576870i) q^{32} +(-0.202101 + 0.0541527i) q^{33} +(-0.556980 - 7.63828i) q^{34} +(-0.523841 - 5.89284i) q^{35} +(5.93036 - 0.869503i) q^{36} +(1.57355 + 5.87258i) q^{37} +(-0.467822 + 2.44559i) q^{38} +(-0.294252 + 0.169887i) q^{39} +(2.81801 + 5.66205i) q^{40} +4.10418i q^{41} +(0.159340 - 0.135143i) q^{42} +(6.73442 + 6.73442i) q^{43} +(-2.76586 + 6.96488i) q^{44} +(-3.24347 - 5.86399i) q^{45} +(-5.82723 + 3.95581i) q^{46} +(-2.06214 - 7.69602i) q^{47} +(-0.105952 + 0.196630i) q^{48} +(-2.13237 + 6.66731i) q^{49} +(4.81649 - 5.17701i) q^{50} +(-0.261881 - 0.151197i) q^{51} +(-1.41114 + 12.0875i) q^{52} +(-0.656146 + 2.44877i) q^{53} +(0.206330 - 0.426257i) q^{54} +(8.37709 + 0.153869i) q^{55} +(-0.475620 - 7.46818i) q^{56} +(0.0695185 + 0.0695185i) q^{57} +(1.98382 + 5.70619i) q^{58} +(1.62290 - 0.936981i) q^{59} +(0.247464 + 0.0335071i) q^{60} +(2.75023 - 4.76355i) q^{61} +(6.21652 + 5.37152i) q^{62} +(0.847000 + 7.88363i) q^{63} +(3.38394 + 7.24907i) q^{64} +(13.2049 - 3.27955i) q^{65} +(0.166193 + 0.244815i) q^{66} +(7.02830 + 1.88323i) q^{67} +(-9.94446 + 4.29124i) q^{68} +0.278093i q^{69} +(-7.62832 + 3.43639i) q^{70} -4.52816 q^{71} +(-3.91555 - 7.51791i) q^{72} +(1.26600 - 4.72479i) q^{73} +(7.11376 - 4.82917i) q^{74} +(-0.0623093 - 0.272156i) q^{75} +(3.48405 - 0.510828i) q^{76} +(-9.06579 - 4.01131i) q^{77} +(0.363584 + 0.314163i) q^{78} +(-6.17875 - 3.56730i) q^{79} +(6.25462 - 6.39373i) q^{80} +(4.48597 + 7.76993i) q^{81} +(5.48232 - 1.90599i) q^{82} +(-3.07998 + 3.07998i) q^{83} +(-0.254521 - 0.150083i) q^{84} +(8.40383 + 8.71833i) q^{85} +(5.86828 - 12.1232i) q^{86} +(0.230407 + 0.0617372i) q^{87} +(10.5881 + 0.460097i) q^{88} +(-1.41664 + 2.45369i) q^{89} +(-6.32677 + 7.05584i) q^{90} +(-15.9065 - 2.48173i) q^{91} +(7.99031 + 5.94685i) q^{92} +(0.313341 - 0.0839595i) q^{93} +(-9.32259 + 6.32863i) q^{94} +(-1.90552 - 3.44506i) q^{95} +(0.311860 + 0.0502141i) q^{96} +(-7.69936 + 7.69936i) q^{97} +(9.89639 - 0.247915i) q^{98} -11.2293 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.464402 1.33579i −0.328382 0.944545i
\(3\) −0.0539369 0.0144524i −0.0311405 0.00834407i 0.243215 0.969972i \(-0.421798\pi\)
−0.274356 + 0.961628i \(0.588465\pi\)
\(4\) −1.56866 + 1.24069i −0.784330 + 0.620343i
\(5\) 1.91563 + 1.15341i 0.856697 + 0.515820i
\(6\) 0.00574315 + 0.0787600i 0.00234463 + 0.0321536i
\(7\) −1.56007 2.13686i −0.589650 0.807659i
\(8\) 2.38578 + 1.51922i 0.843502 + 0.537126i
\(9\) −2.59538 1.49844i −0.865125 0.499480i
\(10\) 0.651085 3.09453i 0.205891 0.978575i
\(11\) 3.24498 1.87349i 0.978399 0.564879i 0.0766124 0.997061i \(-0.475590\pi\)
0.901786 + 0.432182i \(0.142256\pi\)
\(12\) 0.102540 0.0442480i 0.0296006 0.0127733i
\(13\) 4.30261 4.30261i 1.19333 1.19333i 0.217204 0.976126i \(-0.430306\pi\)
0.976126 0.217204i \(-0.0696935\pi\)
\(14\) −2.12990 + 3.07629i −0.569239 + 0.822172i
\(15\) −0.0866538 0.0898967i −0.0223739 0.0232112i
\(16\) 0.921393 3.89243i 0.230348 0.973108i
\(17\) 5.23089 + 1.40161i 1.26868 + 0.339941i 0.829524 0.558471i \(-0.188612\pi\)
0.439153 + 0.898412i \(0.355278\pi\)
\(18\) −0.796301 + 4.16275i −0.187690 + 0.981170i
\(19\) −1.52477 0.880325i −0.349806 0.201960i 0.314794 0.949160i \(-0.398065\pi\)
−0.664600 + 0.747200i \(0.731398\pi\)
\(20\) −4.43600 + 0.567393i −0.991919 + 0.126873i
\(21\) 0.0532626 + 0.137802i 0.0116228 + 0.0300710i
\(22\) −4.00956 3.46455i −0.854842 0.738645i
\(23\) −1.28897 4.81052i −0.268770 1.00306i −0.959902 0.280334i \(-0.909555\pi\)
0.691133 0.722728i \(-0.257112\pi\)
\(24\) −0.106726 0.116422i −0.0217853 0.0237646i
\(25\) 2.33930 + 4.41901i 0.467859 + 0.883803i
\(26\) −7.74552 3.74924i −1.51902 0.735286i
\(27\) 0.236784 + 0.236784i 0.0455691 + 0.0455691i
\(28\) 5.09840 + 1.41646i 0.963506 + 0.267685i
\(29\) −4.27178 −0.793249 −0.396625 0.917981i \(-0.629819\pi\)
−0.396625 + 0.917981i \(0.629819\pi\)
\(30\) −0.0798407 + 0.157499i −0.0145768 + 0.0287553i
\(31\) −5.03109 + 2.90470i −0.903611 + 0.521700i −0.878370 0.477982i \(-0.841369\pi\)
−0.0252408 + 0.999681i \(0.508035\pi\)
\(32\) −5.62736 + 0.576870i −0.994787 + 0.101977i
\(33\) −0.202101 + 0.0541527i −0.0351812 + 0.00942677i
\(34\) −0.556980 7.63828i −0.0955213 1.30995i
\(35\) −0.523841 5.89284i −0.0885453 0.996072i
\(36\) 5.93036 0.869503i 0.988393 0.144917i
\(37\) 1.57355 + 5.87258i 0.258690 + 0.965446i 0.966000 + 0.258542i \(0.0832421\pi\)
−0.707310 + 0.706904i \(0.750091\pi\)
\(38\) −0.467822 + 2.44559i −0.0758908 + 0.396728i
\(39\) −0.294252 + 0.169887i −0.0471181 + 0.0272036i
\(40\) 2.81801 + 5.66205i 0.445566 + 0.895249i
\(41\) 4.10418i 0.640966i 0.947254 + 0.320483i \(0.103845\pi\)
−0.947254 + 0.320483i \(0.896155\pi\)
\(42\) 0.159340 0.135143i 0.0245866 0.0208531i
\(43\) 6.73442 + 6.73442i 1.02699 + 1.02699i 0.999626 + 0.0273638i \(0.00871124\pi\)
0.0273638 + 0.999626i \(0.491289\pi\)
\(44\) −2.76586 + 6.96488i −0.416969 + 1.04999i
\(45\) −3.24347 5.86399i −0.483508 0.874152i
\(46\) −5.82723 + 3.95581i −0.859178 + 0.583253i
\(47\) −2.06214 7.69602i −0.300794 1.12258i −0.936506 0.350653i \(-0.885960\pi\)
0.635711 0.771927i \(-0.280707\pi\)
\(48\) −0.105952 + 0.196630i −0.0152928 + 0.0283810i
\(49\) −2.13237 + 6.66731i −0.304625 + 0.952472i
\(50\) 4.81649 5.17701i 0.681155 0.732139i
\(51\) −0.261881 0.151197i −0.0366707 0.0211719i
\(52\) −1.41114 + 12.0875i −0.195691 + 1.67624i
\(53\) −0.656146 + 2.44877i −0.0901286 + 0.336364i −0.996236 0.0866834i \(-0.972373\pi\)
0.906107 + 0.423048i \(0.139040\pi\)
\(54\) 0.206330 0.426257i 0.0280780 0.0580062i
\(55\) 8.37709 + 0.153869i 1.12957 + 0.0207477i
\(56\) −0.475620 7.46818i −0.0635574 0.997978i
\(57\) 0.0695185 + 0.0695185i 0.00920795 + 0.00920795i
\(58\) 1.98382 + 5.70619i 0.260489 + 0.749260i
\(59\) 1.62290 0.936981i 0.211283 0.121984i −0.390624 0.920550i \(-0.627741\pi\)
0.601908 + 0.798566i \(0.294408\pi\)
\(60\) 0.247464 + 0.0335071i 0.0319475 + 0.00432575i
\(61\) 2.75023 4.76355i 0.352131 0.609909i −0.634491 0.772930i \(-0.718790\pi\)
0.986623 + 0.163021i \(0.0521237\pi\)
\(62\) 6.21652 + 5.37152i 0.789499 + 0.682184i
\(63\) 0.847000 + 7.88363i 0.106712 + 0.993245i
\(64\) 3.38394 + 7.24907i 0.422992 + 0.906133i
\(65\) 13.2049 3.27955i 1.63787 0.406779i
\(66\) 0.166193 + 0.244815i 0.0204569 + 0.0301346i
\(67\) 7.02830 + 1.88323i 0.858644 + 0.230073i 0.661171 0.750235i \(-0.270060\pi\)
0.197473 + 0.980308i \(0.436727\pi\)
\(68\) −9.94446 + 4.29124i −1.20594 + 0.520390i
\(69\) 0.278093i 0.0334785i
\(70\) −7.62832 + 3.43639i −0.911758 + 0.410727i
\(71\) −4.52816 −0.537393 −0.268697 0.963225i \(-0.586593\pi\)
−0.268697 + 0.963225i \(0.586593\pi\)
\(72\) −3.91555 7.51791i −0.461451 0.885994i
\(73\) 1.26600 4.72479i 0.148174 0.552994i −0.851419 0.524486i \(-0.824258\pi\)
0.999594 0.0285085i \(-0.00907576\pi\)
\(74\) 7.11376 4.82917i 0.826958 0.561380i
\(75\) −0.0623093 0.272156i −0.00719486 0.0314259i
\(76\) 3.48405 0.510828i 0.399648 0.0585960i
\(77\) −9.06579 4.01131i −1.03314 0.457131i
\(78\) 0.363584 + 0.314163i 0.0411678 + 0.0355720i
\(79\) −6.17875 3.56730i −0.695163 0.401353i 0.110380 0.993889i \(-0.464793\pi\)
−0.805544 + 0.592537i \(0.798127\pi\)
\(80\) 6.25462 6.39373i 0.699287 0.714841i
\(81\) 4.48597 + 7.76993i 0.498442 + 0.863326i
\(82\) 5.48232 1.90599i 0.605421 0.210482i
\(83\) −3.07998 + 3.07998i −0.338072 + 0.338072i −0.855641 0.517570i \(-0.826837\pi\)
0.517570 + 0.855641i \(0.326837\pi\)
\(84\) −0.254521 0.150083i −0.0277705 0.0163754i
\(85\) 8.40383 + 8.71833i 0.911524 + 0.945636i
\(86\) 5.86828 12.1232i 0.632793 1.30728i
\(87\) 0.230407 + 0.0617372i 0.0247022 + 0.00661893i
\(88\) 10.5881 + 0.460097i 1.12869 + 0.0490465i
\(89\) −1.41664 + 2.45369i −0.150163 + 0.260090i −0.931287 0.364286i \(-0.881313\pi\)
0.781124 + 0.624376i \(0.214647\pi\)
\(90\) −6.32677 + 7.05584i −0.666901 + 0.743751i
\(91\) −15.9065 2.48173i −1.66745 0.260156i
\(92\) 7.99031 + 5.94685i 0.833047 + 0.620002i
\(93\) 0.313341 0.0839595i 0.0324920 0.00870620i
\(94\) −9.32259 + 6.32863i −0.961551 + 0.652749i
\(95\) −1.90552 3.44506i −0.195502 0.353456i
\(96\) 0.311860 + 0.0502141i 0.0318290 + 0.00512495i
\(97\) −7.69936 + 7.69936i −0.781751 + 0.781751i −0.980126 0.198375i \(-0.936434\pi\)
0.198375 + 0.980126i \(0.436434\pi\)
\(98\) 9.89639 0.247915i 0.999686 0.0250432i
\(99\) −11.2293 −1.12858
\(100\) −9.15218 4.02960i −0.915218 0.402960i
\(101\) −2.29636 3.97742i −0.228497 0.395768i 0.728866 0.684656i \(-0.240048\pi\)
−0.957363 + 0.288888i \(0.906714\pi\)
\(102\) −0.0803492 + 0.420035i −0.00795576 + 0.0415896i
\(103\) −13.0043 + 3.48449i −1.28135 + 0.343337i −0.834370 0.551205i \(-0.814168\pi\)
−0.446983 + 0.894542i \(0.647502\pi\)
\(104\) 16.8017 3.72849i 1.64754 0.365608i
\(105\) −0.0569110 + 0.325412i −0.00555395 + 0.0317570i
\(106\) 3.57575 0.260743i 0.347308 0.0253256i
\(107\) 1.52305 + 5.68410i 0.147239 + 0.549502i 0.999646 + 0.0266233i \(0.00847545\pi\)
−0.852407 + 0.522879i \(0.824858\pi\)
\(108\) −0.665209 0.0776591i −0.0640098 0.00747275i
\(109\) 5.39984 + 9.35279i 0.517211 + 0.895835i 0.999800 + 0.0199883i \(0.00636291\pi\)
−0.482590 + 0.875847i \(0.660304\pi\)
\(110\) −3.68481 11.2615i −0.351332 1.07374i
\(111\) 0.339490i 0.0322230i
\(112\) −9.75503 + 4.10357i −0.921764 + 0.387751i
\(113\) 1.32709 1.32709i 0.124842 0.124842i −0.641925 0.766767i \(-0.721864\pi\)
0.766767 + 0.641925i \(0.221864\pi\)
\(114\) 0.0605774 0.125147i 0.00567360 0.0117211i
\(115\) 3.07929 10.7019i 0.287145 0.997957i
\(116\) 6.70097 5.29994i 0.622170 0.492087i
\(117\) −17.6141 + 4.71969i −1.62842 + 0.436335i
\(118\) −2.00529 1.73271i −0.184601 0.159509i
\(119\) −5.16549 13.3643i −0.473520 1.22510i
\(120\) −0.0701645 0.346120i −0.00640511 0.0315963i
\(121\) 1.51994 2.63261i 0.138176 0.239328i
\(122\) −7.64030 1.46153i −0.691721 0.132321i
\(123\) 0.0593151 0.221367i 0.00534826 0.0199600i
\(124\) 4.28825 10.7985i 0.385096 0.969734i
\(125\) −0.615695 + 11.1634i −0.0550694 + 0.998483i
\(126\) 10.1375 4.79259i 0.903122 0.426958i
\(127\) 12.5258 + 12.5258i 1.11148 + 1.11148i 0.992950 + 0.118534i \(0.0378195\pi\)
0.118534 + 0.992950i \(0.462180\pi\)
\(128\) 8.11171 7.88671i 0.716981 0.697093i
\(129\) −0.265906 0.460562i −0.0234117 0.0405502i
\(130\) −10.5132 16.1159i −0.922067 1.41346i
\(131\) −8.12861 + 14.0792i −0.710200 + 1.23010i 0.254582 + 0.967051i \(0.418062\pi\)
−0.964782 + 0.263051i \(0.915271\pi\)
\(132\) 0.249841 0.335691i 0.0217458 0.0292181i
\(133\) 0.497607 + 4.63159i 0.0431480 + 0.401610i
\(134\) −0.748367 10.2629i −0.0646491 0.886579i
\(135\) 0.180483 + 0.726701i 0.0155335 + 0.0625444i
\(136\) 10.3504 + 11.2908i 0.887541 + 0.968180i
\(137\) 4.58384 17.1071i 0.391624 1.46156i −0.435832 0.900028i \(-0.643546\pi\)
0.827456 0.561531i \(-0.189788\pi\)
\(138\) 0.371473 0.129147i 0.0316219 0.0109937i
\(139\) 3.56207i 0.302131i −0.988524 0.151065i \(-0.951730\pi\)
0.988524 0.151065i \(-0.0482704\pi\)
\(140\) 8.13290 + 8.59395i 0.687356 + 0.726321i
\(141\) 0.444902i 0.0374675i
\(142\) 2.10289 + 6.04866i 0.176470 + 0.507592i
\(143\) 5.90099 22.0228i 0.493466 1.84164i
\(144\) −8.22394 + 8.72167i −0.685328 + 0.726806i
\(145\) −8.18316 4.92711i −0.679574 0.409174i
\(146\) −6.89925 + 0.503091i −0.570986 + 0.0416361i
\(147\) 0.211372 0.328796i 0.0174337 0.0271186i
\(148\) −9.75440 7.25980i −0.801807 0.596752i
\(149\) 4.58723 7.94532i 0.375801 0.650906i −0.614646 0.788803i \(-0.710701\pi\)
0.990447 + 0.137897i \(0.0440343\pi\)
\(150\) −0.334607 + 0.209622i −0.0273205 + 0.0171156i
\(151\) 9.34763 + 16.1906i 0.760699 + 1.31757i 0.942491 + 0.334232i \(0.108477\pi\)
−0.181792 + 0.983337i \(0.558190\pi\)
\(152\) −2.30036 4.41673i −0.186584 0.358244i
\(153\) −11.4759 11.4759i −0.927771 0.927771i
\(154\) −1.14809 + 13.9728i −0.0925153 + 1.12596i
\(155\) −12.9880 0.238562i −1.04322 0.0191617i
\(156\) 0.250806 0.631570i 0.0200806 0.0505660i
\(157\) 4.02855 15.0347i 0.321513 1.19990i −0.596258 0.802793i \(-0.703347\pi\)
0.917771 0.397110i \(-0.129987\pi\)
\(158\) −1.89573 + 9.91016i −0.150817 + 0.788410i
\(159\) 0.0707810 0.122596i 0.00561330 0.00972251i
\(160\) −11.4453 5.38558i −0.904833 0.425767i
\(161\) −8.26853 + 10.2591i −0.651651 + 0.808530i
\(162\) 8.29569 9.60069i 0.651771 0.754301i
\(163\) 0.920950 0.246768i 0.0721344 0.0193283i −0.222571 0.974916i \(-0.571445\pi\)
0.294706 + 0.955588i \(0.404778\pi\)
\(164\) −5.09201 6.43807i −0.397619 0.502729i
\(165\) −0.449611 0.129368i −0.0350021 0.0100713i
\(166\) 5.54455 + 2.68385i 0.430341 + 0.208307i
\(167\) 6.11306 6.11306i 0.473043 0.473043i −0.429855 0.902898i \(-0.641435\pi\)
0.902898 + 0.429855i \(0.141435\pi\)
\(168\) −0.0822794 + 0.409685i −0.00634799 + 0.0316079i
\(169\) 24.0249i 1.84807i
\(170\) 7.74308 15.2746i 0.593867 1.17150i
\(171\) 2.63823 + 4.56955i 0.201751 + 0.349442i
\(172\) −18.9193 2.20871i −1.44258 0.168413i
\(173\) −3.21255 11.9894i −0.244246 0.911538i −0.973761 0.227574i \(-0.926921\pi\)
0.729515 0.683965i \(-0.239746\pi\)
\(174\) −0.0245335 0.336445i −0.00185988 0.0255059i
\(175\) 5.79337 11.8927i 0.437937 0.899005i
\(176\) −4.30254 14.3571i −0.324316 1.08221i
\(177\) −0.101076 + 0.0270831i −0.00759731 + 0.00203569i
\(178\) 3.93549 + 0.752828i 0.294978 + 0.0564269i
\(179\) 2.68127 + 4.64409i 0.200407 + 0.347116i 0.948660 0.316299i \(-0.102440\pi\)
−0.748252 + 0.663414i \(0.769107\pi\)
\(180\) 12.3633 + 5.17448i 0.921505 + 0.385683i
\(181\) −6.95811 −0.517192 −0.258596 0.965986i \(-0.583260\pi\)
−0.258596 + 0.965986i \(0.583260\pi\)
\(182\) 4.07194 + 22.4002i 0.301832 + 1.66041i
\(183\) −0.217184 + 0.217184i −0.0160547 + 0.0160547i
\(184\) 4.23302 13.4351i 0.312062 0.990448i
\(185\) −3.75913 + 13.0647i −0.276377 + 0.960532i
\(186\) −0.257669 0.379567i −0.0188932 0.0278312i
\(187\) 19.6001 5.25182i 1.43330 0.384051i
\(188\) 12.7831 + 9.51397i 0.932307 + 0.693877i
\(189\) 0.136576 0.875375i 0.00993444 0.0636742i
\(190\) −3.71694 + 4.14527i −0.269655 + 0.300729i
\(191\) −1.54615 + 2.67801i −0.111876 + 0.193774i −0.916526 0.399974i \(-0.869019\pi\)
0.804651 + 0.593748i \(0.202352\pi\)
\(192\) −0.0777531 0.439898i −0.00561134 0.0317469i
\(193\) −8.69632 2.33017i −0.625975 0.167729i −0.0681324 0.997676i \(-0.521704\pi\)
−0.557843 + 0.829947i \(0.688371\pi\)
\(194\) 13.8603 + 6.70911i 0.995113 + 0.481686i
\(195\) −0.759628 0.0139527i −0.0543981 0.000999175i
\(196\) −4.92707 13.1043i −0.351934 0.936025i
\(197\) −10.8714 + 10.8714i −0.774554 + 0.774554i −0.978899 0.204345i \(-0.934494\pi\)
0.204345 + 0.978899i \(0.434494\pi\)
\(198\) 5.21490 + 14.9999i 0.370607 + 1.06600i
\(199\) 6.35769 + 11.0118i 0.450685 + 0.780609i 0.998429 0.0560369i \(-0.0178464\pi\)
−0.547744 + 0.836646i \(0.684513\pi\)
\(200\) −1.13240 + 14.0967i −0.0800726 + 0.996789i
\(201\) −0.351868 0.203151i −0.0248188 0.0143292i
\(202\) −4.24655 + 4.91458i −0.298786 + 0.345789i
\(203\) 6.66427 + 9.12821i 0.467740 + 0.640675i
\(204\) 0.598392 0.0877355i 0.0418958 0.00614272i
\(205\) −4.73380 + 7.86211i −0.330623 + 0.549114i
\(206\) 10.6938 + 15.7528i 0.745071 + 1.09755i
\(207\) −3.86290 + 14.4165i −0.268490 + 1.00202i
\(208\) −12.7832 20.7120i −0.886358 1.43612i
\(209\) −6.59713 −0.456333
\(210\) 0.461112 0.0751012i 0.0318197 0.00518248i
\(211\) 10.9421i 0.753283i 0.926359 + 0.376641i \(0.122921\pi\)
−0.926359 + 0.376641i \(0.877079\pi\)
\(212\) −2.00889 4.65536i −0.137971 0.319732i
\(213\) 0.244235 + 0.0654425i 0.0167347 + 0.00448405i
\(214\) 6.88544 4.67418i 0.470679 0.319520i
\(215\) 5.13314 + 20.6682i 0.350077 + 1.40956i
\(216\) 0.205189 + 0.924644i 0.0139613 + 0.0629140i
\(217\) 14.0558 + 6.21922i 0.954170 + 0.422188i
\(218\) 9.98565 11.5565i 0.676314 0.782705i
\(219\) −0.136569 + 0.236544i −0.00922844 + 0.0159841i
\(220\) −13.3317 + 10.1520i −0.898824 + 0.684446i
\(221\) 28.5371 16.4759i 1.91961 1.10829i
\(222\) −0.453487 + 0.157660i −0.0304361 + 0.0105815i
\(223\) 2.48492 + 2.48492i 0.166402 + 0.166402i 0.785396 0.618994i \(-0.212459\pi\)
−0.618994 + 0.785396i \(0.712459\pi\)
\(224\) 10.0118 + 11.1250i 0.668939 + 0.743317i
\(225\) 0.550276 14.9743i 0.0366851 0.998287i
\(226\) −2.38901 1.15641i −0.158915 0.0769230i
\(227\) 4.12260 15.3858i 0.273627 1.02119i −0.683129 0.730298i \(-0.739381\pi\)
0.956756 0.290892i \(-0.0939519\pi\)
\(228\) −0.195302 0.0228003i −0.0129342 0.00150998i
\(229\) 18.9874 + 10.9624i 1.25472 + 0.724413i 0.972043 0.234802i \(-0.0754443\pi\)
0.282677 + 0.959215i \(0.408778\pi\)
\(230\) −15.7255 + 0.856707i −1.03691 + 0.0564896i
\(231\) 0.431008 + 0.347380i 0.0283582 + 0.0228559i
\(232\) −10.1915 6.48977i −0.669108 0.426075i
\(233\) 5.36897 + 20.0373i 0.351733 + 1.31268i 0.884546 + 0.466452i \(0.154468\pi\)
−0.532814 + 0.846233i \(0.678865\pi\)
\(234\) 14.4845 + 21.3369i 0.946884 + 1.39484i
\(235\) 4.92635 17.1212i 0.321359 1.11687i
\(236\) −1.38328 + 3.48331i −0.0900437 + 0.226744i
\(237\) 0.281707 + 0.281707i 0.0182988 + 0.0182988i
\(238\) −15.4530 + 13.1064i −1.00167 + 0.849563i
\(239\) 20.3337i 1.31528i 0.753334 + 0.657638i \(0.228444\pi\)
−0.753334 + 0.657638i \(0.771556\pi\)
\(240\) −0.429759 + 0.254464i −0.0277408 + 0.0164256i
\(241\) −0.944202 + 0.545135i −0.0608214 + 0.0351152i −0.530102 0.847934i \(-0.677846\pi\)
0.469281 + 0.883049i \(0.344513\pi\)
\(242\) −4.22247 0.807724i −0.271430 0.0519224i
\(243\) −0.389673 1.45428i −0.0249975 0.0932920i
\(244\) 1.59588 + 10.8846i 0.102166 + 0.696813i
\(245\) −11.7750 + 10.3126i −0.752275 + 0.658849i
\(246\) −0.323246 + 0.0235710i −0.0206094 + 0.00150283i
\(247\) −10.3482 + 2.77279i −0.658439 + 0.176428i
\(248\) −16.4160 0.713344i −1.04242 0.0452974i
\(249\) 0.210638 0.121612i 0.0133486 0.00770682i
\(250\) 15.1978 4.36186i 0.961195 0.275868i
\(251\) −1.48689 −0.0938514 −0.0469257 0.998898i \(-0.514942\pi\)
−0.0469257 + 0.998898i \(0.514942\pi\)
\(252\) −11.1098 11.3159i −0.699850 0.712834i
\(253\) −13.1952 13.1952i −0.829572 0.829572i
\(254\) 10.9148 22.5488i 0.684855 1.41484i
\(255\) −0.327276 0.591695i −0.0204948 0.0370534i
\(256\) −14.3021 7.17292i −0.893879 0.448307i
\(257\) −5.18728 19.3592i −0.323574 1.20759i −0.915738 0.401776i \(-0.868393\pi\)
0.592164 0.805818i \(-0.298274\pi\)
\(258\) −0.491726 + 0.569080i −0.0306135 + 0.0354294i
\(259\) 10.0941 12.5241i 0.627214 0.778209i
\(260\) −16.6451 + 21.5276i −1.03229 + 1.33509i
\(261\) 11.0869 + 6.40101i 0.686260 + 0.396212i
\(262\) 22.5817 + 4.31970i 1.39510 + 0.266872i
\(263\) −8.91641 2.38914i −0.549809 0.147321i −0.0267888 0.999641i \(-0.508528\pi\)
−0.523020 + 0.852320i \(0.675195\pi\)
\(264\) −0.564438 0.177839i −0.0347388 0.0109452i
\(265\) −4.08137 + 3.93414i −0.250716 + 0.241672i
\(266\) 5.95573 2.81562i 0.365169 0.172637i
\(267\) 0.111871 0.111871i 0.00684636 0.00684636i
\(268\) −13.3615 + 5.76578i −0.816185 + 0.352201i
\(269\) −5.95369 + 3.43736i −0.363003 + 0.209580i −0.670397 0.742003i \(-0.733876\pi\)
0.307394 + 0.951582i \(0.400543\pi\)
\(270\) 0.886902 0.578568i 0.0539751 0.0352105i
\(271\) 10.5876 + 6.11278i 0.643154 + 0.371325i 0.785828 0.618445i \(-0.212237\pi\)
−0.142675 + 0.989770i \(0.545570\pi\)
\(272\) 10.2754 19.0695i 0.623037 1.15626i
\(273\) 0.822079 + 0.363742i 0.0497545 + 0.0220147i
\(274\) −24.9802 + 1.82155i −1.50911 + 0.110044i
\(275\) 15.8700 + 9.95697i 0.956995 + 0.600428i
\(276\) −0.345026 0.436234i −0.0207681 0.0262582i
\(277\) −6.14171 1.64567i −0.369020 0.0988785i 0.0695434 0.997579i \(-0.477846\pi\)
−0.438563 + 0.898700i \(0.644512\pi\)
\(278\) −4.75817 + 1.65423i −0.285376 + 0.0992143i
\(279\) 17.4101 1.04232
\(280\) 7.70276 14.8549i 0.460328 0.887749i
\(281\) −23.9984 −1.43163 −0.715813 0.698292i \(-0.753944\pi\)
−0.715813 + 0.698292i \(0.753944\pi\)
\(282\) 0.594295 0.206614i 0.0353898 0.0123037i
\(283\) −20.3837 5.46181i −1.21169 0.324671i −0.404264 0.914642i \(-0.632472\pi\)
−0.807424 + 0.589972i \(0.799139\pi\)
\(284\) 7.10314 5.61802i 0.421494 0.333368i
\(285\) 0.0529887 + 0.213355i 0.00313878 + 0.0126381i
\(286\) −32.1582 + 2.34497i −1.90156 + 0.138661i
\(287\) 8.77008 6.40281i 0.517682 0.377946i
\(288\) 15.4695 + 6.93508i 0.911551 + 0.408653i
\(289\) 10.6753 + 6.16337i 0.627957 + 0.362551i
\(290\) −2.78129 + 13.2191i −0.163323 + 0.776254i
\(291\) 0.526553 0.304006i 0.0308671 0.0178211i
\(292\) 3.87605 + 8.98230i 0.226829 + 0.525649i
\(293\) 10.1545 10.1545i 0.593233 0.593233i −0.345271 0.938503i \(-0.612213\pi\)
0.938503 + 0.345271i \(0.112213\pi\)
\(294\) −0.537364 0.129654i −0.0313397 0.00756159i
\(295\) 4.18960 + 0.0769538i 0.243928 + 0.00448042i
\(296\) −5.16758 + 16.4013i −0.300360 + 0.953305i
\(297\) 1.21197 + 0.324747i 0.0703258 + 0.0188437i
\(298\) −12.7436 2.43775i −0.738216 0.141215i
\(299\) −26.2437 15.1518i −1.51771 0.876253i
\(300\) 0.435403 + 0.349615i 0.0251380 + 0.0201850i
\(301\) 3.88438 24.8967i 0.223892 1.43502i
\(302\) 17.2861 20.0054i 0.994703 1.15118i
\(303\) 0.0663757 + 0.247718i 0.00381319 + 0.0142310i
\(304\) −4.83152 + 5.12393i −0.277107 + 0.293878i
\(305\) 10.7628 5.95306i 0.616273 0.340871i
\(306\) −9.99993 + 20.6588i −0.571658 + 1.18098i
\(307\) 23.4389 + 23.4389i 1.33773 + 1.33773i 0.898257 + 0.439470i \(0.144834\pi\)
0.439470 + 0.898257i \(0.355166\pi\)
\(308\) 19.1979 4.95542i 1.09390 0.282361i
\(309\) 0.751771 0.0427668
\(310\) 5.71301 + 17.4600i 0.324477 + 0.991664i
\(311\) 2.44989 1.41445i 0.138921 0.0802059i −0.428929 0.903338i \(-0.641109\pi\)
0.567850 + 0.823132i \(0.307776\pi\)
\(312\) −0.960118 0.0417212i −0.0543560 0.00236200i
\(313\) 13.2135 3.54055i 0.746871 0.200124i 0.134741 0.990881i \(-0.456980\pi\)
0.612130 + 0.790757i \(0.290313\pi\)
\(314\) −21.9541 + 1.60088i −1.23894 + 0.0903431i
\(315\) −7.47051 + 16.0791i −0.420916 + 0.905954i
\(316\) 14.1183 2.07000i 0.794214 0.116447i
\(317\) −0.583621 2.17810i −0.0327794 0.122334i 0.947597 0.319467i \(-0.103504\pi\)
−0.980377 + 0.197132i \(0.936837\pi\)
\(318\) −0.196633 0.0376144i −0.0110267 0.00210931i
\(319\) −13.8618 + 8.00314i −0.776114 + 0.448090i
\(320\) −1.87875 + 17.7896i −0.105026 + 0.994470i
\(321\) 0.328594i 0.0183403i
\(322\) 17.5439 + 6.28066i 0.977684 + 0.350007i
\(323\) −6.74202 6.74202i −0.375136 0.375136i
\(324\) −16.6770 6.62270i −0.926501 0.367928i
\(325\) 29.0784 + 8.94822i 1.61298 + 0.496358i
\(326\) −0.757321 1.11559i −0.0419441 0.0617871i
\(327\) −0.156081 0.582501i −0.00863128 0.0322124i
\(328\) −6.23516 + 9.79170i −0.344279 + 0.540656i
\(329\) −13.2283 + 16.4128i −0.729297 + 0.904869i
\(330\) 0.0359922 + 0.660663i 0.00198131 + 0.0363683i
\(331\) −1.73851 1.00373i −0.0955571 0.0551699i 0.451460 0.892291i \(-0.350903\pi\)
−0.547017 + 0.837121i \(0.684237\pi\)
\(332\) 1.01015 8.65273i 0.0554394 0.474880i
\(333\) 4.71575 17.5994i 0.258422 0.964443i
\(334\) −11.0047 5.32684i −0.602149 0.291472i
\(335\) 11.2915 + 11.7141i 0.616921 + 0.640008i
\(336\) 0.585463 0.0803508i 0.0319396 0.00438349i
\(337\) −10.6500 10.6500i −0.580145 0.580145i 0.354798 0.934943i \(-0.384550\pi\)
−0.934943 + 0.354798i \(0.884550\pi\)
\(338\) −32.0922 + 11.1572i −1.74559 + 0.606874i
\(339\) −0.0907587 + 0.0523995i −0.00492933 + 0.00284595i
\(340\) −23.9995 3.24958i −1.30155 0.176233i
\(341\) −10.8839 + 18.8514i −0.589394 + 1.02086i
\(342\) 4.87875 5.64623i 0.263813 0.305313i
\(343\) 17.5738 5.84487i 0.948895 0.315593i
\(344\) 5.83581 + 26.2979i 0.314646 + 1.41789i
\(345\) −0.320755 + 0.532724i −0.0172689 + 0.0286809i
\(346\) −14.5234 + 9.85921i −0.780783 + 0.530034i
\(347\) 10.7100 + 2.86974i 0.574944 + 0.154056i 0.534563 0.845129i \(-0.320476\pi\)
0.0403807 + 0.999184i \(0.487143\pi\)
\(348\) −0.438026 + 0.189018i −0.0234807 + 0.0101324i
\(349\) 11.5660i 0.619115i −0.950881 0.309557i \(-0.899819\pi\)
0.950881 0.309557i \(-0.100181\pi\)
\(350\) −18.5766 2.21570i −0.992962 0.118434i
\(351\) 2.03758 0.108758
\(352\) −17.1799 + 12.4147i −0.915693 + 0.661708i
\(353\) 0.234563 0.875400i 0.0124845 0.0465928i −0.959403 0.282040i \(-0.908989\pi\)
0.971887 + 0.235447i \(0.0756555\pi\)
\(354\) 0.0831171 + 0.122438i 0.00441763 + 0.00650752i
\(355\) −8.67428 5.22281i −0.460383 0.277198i
\(356\) −0.822034 5.60660i −0.0435677 0.297149i
\(357\) 0.0854649 + 0.795483i 0.00452328 + 0.0421014i
\(358\) 4.95833 5.73833i 0.262056 0.303280i
\(359\) −17.7035 10.2211i −0.934358 0.539452i −0.0461705 0.998934i \(-0.514702\pi\)
−0.888187 + 0.459482i \(0.848035\pi\)
\(360\) 1.17047 18.9178i 0.0616892 0.997054i
\(361\) −7.95005 13.7699i −0.418424 0.724732i
\(362\) 3.23136 + 9.29456i 0.169837 + 0.488511i
\(363\) −0.120028 + 0.120028i −0.00629983 + 0.00629983i
\(364\) 28.0309 15.8420i 1.46922 0.830344i
\(365\) 7.87480 7.59074i 0.412186 0.397317i
\(366\) 0.390972 + 0.189251i 0.0204364 + 0.00989229i
\(367\) −8.58050 2.29914i −0.447899 0.120014i 0.0278174 0.999613i \(-0.491144\pi\)
−0.475716 + 0.879599i \(0.657811\pi\)
\(368\) −19.9123 + 0.584870i −1.03800 + 0.0304884i
\(369\) 6.14988 10.6519i 0.320150 0.554516i
\(370\) 19.1974 1.04585i 0.998023 0.0543712i
\(371\) 6.25632 2.41815i 0.324812 0.125544i
\(372\) −0.387359 + 0.520462i −0.0200836 + 0.0269847i
\(373\) −5.19406 + 1.39174i −0.268938 + 0.0720617i −0.390768 0.920489i \(-0.627790\pi\)
0.121830 + 0.992551i \(0.461124\pi\)
\(374\) −16.1176 23.7426i −0.833423 1.22770i
\(375\) 0.194546 0.593220i 0.0100463 0.0306337i
\(376\) 6.77212 21.4939i 0.349246 1.10846i
\(377\) −18.3798 + 18.3798i −0.946608 + 0.946608i
\(378\) −1.23274 + 0.224090i −0.0634054 + 0.0115259i
\(379\) 30.9658 1.59061 0.795304 0.606211i \(-0.207311\pi\)
0.795304 + 0.606211i \(0.207311\pi\)
\(380\) 7.26336 + 3.03998i 0.372602 + 0.155948i
\(381\) −0.494575 0.856630i −0.0253379 0.0438865i
\(382\) 4.29529 + 0.821655i 0.219766 + 0.0420395i
\(383\) 27.0985 7.26102i 1.38467 0.371021i 0.511854 0.859073i \(-0.328959\pi\)
0.872815 + 0.488052i \(0.162292\pi\)
\(384\) −0.551502 + 0.308151i −0.0281437 + 0.0157253i
\(385\) −12.7400 18.1408i −0.649293 0.924538i
\(386\) 0.925976 + 12.6986i 0.0471309 + 0.646341i
\(387\) −7.38722 27.5695i −0.375513 1.40144i
\(388\) 2.52519 21.6302i 0.128197 1.09811i
\(389\) 8.63042 + 14.9483i 0.437579 + 0.757910i 0.997502 0.0706349i \(-0.0225025\pi\)
−0.559923 + 0.828545i \(0.689169\pi\)
\(390\) 0.334135 + 1.02118i 0.0169196 + 0.0517096i
\(391\) 26.9699i 1.36393i
\(392\) −15.2165 + 12.6672i −0.768549 + 0.639791i
\(393\) 0.641909 0.641909i 0.0323800 0.0323800i
\(394\) 19.5706 + 9.47317i 0.985951 + 0.477251i
\(395\) −7.72166 13.9603i −0.388519 0.702417i
\(396\) 17.6149 13.9320i 0.885182 0.700109i
\(397\) 8.56227 2.29425i 0.429728 0.115145i −0.0374705 0.999298i \(-0.511930\pi\)
0.467198 + 0.884152i \(0.345263\pi\)
\(398\) 11.7570 13.6065i 0.589324 0.682030i
\(399\) 0.0400979 0.257005i 0.00200741 0.0128664i
\(400\) 19.3561 5.03391i 0.967806 0.251696i
\(401\) 3.68412 6.38109i 0.183976 0.318656i −0.759255 0.650793i \(-0.774436\pi\)
0.943231 + 0.332137i \(0.107770\pi\)
\(402\) −0.107958 + 0.564365i −0.00538448 + 0.0281480i
\(403\) −9.14903 + 34.1446i −0.455746 + 1.70087i
\(404\) 8.53695 + 3.39015i 0.424729 + 0.168666i
\(405\) −0.368431 + 20.0585i −0.0183075 + 0.996715i
\(406\) 9.09845 13.1412i 0.451549 0.652187i
\(407\) 16.1084 + 16.1084i 0.798462 + 0.798462i
\(408\) −0.395091 0.758580i −0.0195599 0.0375553i
\(409\) 5.50433 + 9.53377i 0.272171 + 0.471415i 0.969418 0.245417i \(-0.0789249\pi\)
−0.697246 + 0.716832i \(0.745592\pi\)
\(410\) 12.7005 + 2.67217i 0.627233 + 0.131969i
\(411\) −0.494476 + 0.856458i −0.0243907 + 0.0422459i
\(412\) 16.0762 21.6003i 0.792017 1.06417i
\(413\) −4.53403 2.00616i −0.223105 0.0987166i
\(414\) 21.0514 1.53506i 1.03462 0.0754441i
\(415\) −9.45258 + 2.34763i −0.464009 + 0.115241i
\(416\) −21.7303 + 26.6944i −1.06542 + 1.30880i
\(417\) −0.0514803 + 0.192127i −0.00252100 + 0.00940850i
\(418\) 3.06372 + 8.81236i 0.149852 + 0.431027i
\(419\) 13.4016i 0.654713i −0.944901 0.327357i \(-0.893842\pi\)
0.944901 0.327357i \(-0.106158\pi\)
\(420\) −0.314461 0.581070i −0.0153441 0.0283533i
\(421\) 17.7711i 0.866112i 0.901367 + 0.433056i \(0.142565\pi\)
−0.901367 + 0.433056i \(0.857435\pi\)
\(422\) 14.6163 5.08152i 0.711509 0.247365i
\(423\) −6.17999 + 23.0641i −0.300482 + 1.12141i
\(424\) −5.28565 + 4.84541i −0.256694 + 0.235314i
\(425\) 6.04286 + 26.3942i 0.293122 + 1.28031i
\(426\) −0.0260059 0.356638i −0.00125999 0.0172791i
\(427\) −14.4696 + 1.55458i −0.700233 + 0.0752315i
\(428\) −9.44133 7.02679i −0.456364 0.339653i
\(429\) −0.636562 + 1.10256i −0.0307335 + 0.0532320i
\(430\) 25.2245 16.4552i 1.21643 0.793538i
\(431\) −15.1590 26.2561i −0.730182 1.26471i −0.956805 0.290730i \(-0.906102\pi\)
0.226623 0.973983i \(-0.427231\pi\)
\(432\) 1.13984 0.703495i 0.0548405 0.0338469i
\(433\) −14.0280 14.0280i −0.674144 0.674144i 0.284525 0.958669i \(-0.408164\pi\)
−0.958669 + 0.284525i \(0.908164\pi\)
\(434\) 1.78002 21.6638i 0.0854436 1.03990i
\(435\) 0.370166 + 0.384019i 0.0177481 + 0.0184123i
\(436\) −20.0744 7.97185i −0.961389 0.381782i
\(437\) −2.26943 + 8.46964i −0.108562 + 0.405158i
\(438\) 0.379395 + 0.0725752i 0.0181282 + 0.00346778i
\(439\) 1.65155 2.86056i 0.0788240 0.136527i −0.823919 0.566708i \(-0.808217\pi\)
0.902743 + 0.430181i \(0.141550\pi\)
\(440\) 19.7522 + 13.0937i 0.941648 + 0.624220i
\(441\) 15.5249 14.1089i 0.739280 0.671854i
\(442\) −35.2610 30.4681i −1.67720 1.44922i
\(443\) 12.0471 3.22800i 0.572373 0.153367i 0.0389885 0.999240i \(-0.487586\pi\)
0.533385 + 0.845873i \(0.320920\pi\)
\(444\) 0.421201 + 0.532545i 0.0199893 + 0.0252735i
\(445\) −5.54386 + 3.06640i −0.262804 + 0.145361i
\(446\) 2.16532 4.47333i 0.102531 0.211818i
\(447\) −0.362250 + 0.362250i −0.0171338 + 0.0171338i
\(448\) 10.2111 18.5401i 0.482429 0.875935i
\(449\) 3.40379i 0.160635i 0.996769 + 0.0803175i \(0.0255934\pi\)
−0.996769 + 0.0803175i \(0.974407\pi\)
\(450\) −20.2580 + 6.21905i −0.954974 + 0.293169i
\(451\) 7.68915 + 13.3180i 0.362068 + 0.627120i
\(452\) −0.435251 + 3.72826i −0.0204725 + 0.175362i
\(453\) −0.270190 1.00836i −0.0126946 0.0473771i
\(454\) −22.4667 + 1.63826i −1.05441 + 0.0768874i
\(455\) −27.6085 23.1007i −1.29431 1.08298i
\(456\) 0.0602422 + 0.271470i 0.00282110 + 0.0127128i
\(457\) 0.351206 0.0941053i 0.0164287 0.00440206i −0.250595 0.968092i \(-0.580626\pi\)
0.267024 + 0.963690i \(0.413960\pi\)
\(458\) 5.82561 30.4540i 0.272213 1.42302i
\(459\) 0.906713 + 1.57047i 0.0423217 + 0.0733034i
\(460\) 8.44734 + 20.6081i 0.393859 + 0.960857i
\(461\) −10.4726 −0.487757 −0.243878 0.969806i \(-0.578420\pi\)
−0.243878 + 0.969806i \(0.578420\pi\)
\(462\) 0.263864 0.737059i 0.0122761 0.0342911i
\(463\) −28.3258 + 28.3258i −1.31641 + 1.31641i −0.399816 + 0.916595i \(0.630926\pi\)
−0.916595 + 0.399816i \(0.869074\pi\)
\(464\) −3.93599 + 16.6276i −0.182724 + 0.771918i
\(465\) 0.697086 + 0.200575i 0.0323266 + 0.00930144i
\(466\) 24.2722 16.4772i 1.12439 0.763290i
\(467\) 16.2432 4.35235i 0.751645 0.201403i 0.137398 0.990516i \(-0.456126\pi\)
0.614248 + 0.789113i \(0.289460\pi\)
\(468\) 21.7749 29.2572i 1.00655 1.35241i
\(469\) −6.94043 17.9565i −0.320479 0.829154i
\(470\) −25.1582 + 1.37059i −1.16046 + 0.0632205i
\(471\) −0.434575 + 0.752705i −0.0200241 + 0.0346828i
\(472\) 5.29537 + 0.230106i 0.243739 + 0.0105915i
\(473\) 34.4699 + 9.23619i 1.58493 + 0.424681i
\(474\) 0.245475 0.507126i 0.0112750 0.0232931i
\(475\) 0.323284 8.79731i 0.0148333 0.403648i
\(476\) 24.6838 + 14.5553i 1.13138 + 0.667142i
\(477\) 5.37228 5.37228i 0.245980 0.245980i
\(478\) 27.1615 9.44300i 1.24234 0.431913i
\(479\) −14.0936 24.4108i −0.643951 1.11536i −0.984543 0.175145i \(-0.943961\pi\)
0.340591 0.940211i \(-0.389373\pi\)
\(480\) 0.539491 + 0.455893i 0.0246243 + 0.0208086i
\(481\) 32.0378 + 18.4970i 1.46080 + 0.843393i
\(482\) 1.16667 + 1.00809i 0.0531406 + 0.0459173i
\(483\) 0.594247 0.433844i 0.0270392 0.0197406i
\(484\) 0.881976 + 6.01543i 0.0400898 + 0.273429i
\(485\) −23.6296 + 5.86864i −1.07297 + 0.266481i
\(486\) −1.76164 + 1.19589i −0.0799098 + 0.0542467i
\(487\) 5.91583 22.0782i 0.268072 1.00046i −0.692271 0.721637i \(-0.743390\pi\)
0.960343 0.278821i \(-0.0899436\pi\)
\(488\) 13.7983 7.18658i 0.624622 0.325321i
\(489\) −0.0532396 −0.00240758
\(490\) 19.2438 + 10.9397i 0.869346 + 0.494204i
\(491\) 1.47474i 0.0665541i −0.999446 0.0332770i \(-0.989406\pi\)
0.999446 0.0332770i \(-0.0105944\pi\)
\(492\) 0.181602 + 0.420841i 0.00818724 + 0.0189730i
\(493\) −22.3452 5.98738i −1.00638 0.269658i
\(494\) 8.50958 + 12.5353i 0.382864 + 0.563990i
\(495\) −21.5111 12.9519i −0.966854 0.582146i
\(496\) 6.67075 + 22.2596i 0.299525 + 0.999484i
\(497\) 7.06423 + 9.67605i 0.316874 + 0.434030i
\(498\) −0.260268 0.224890i −0.0116629 0.0100776i
\(499\) −15.5177 + 26.8775i −0.694670 + 1.20320i 0.275622 + 0.961266i \(0.411116\pi\)
−0.970292 + 0.241937i \(0.922217\pi\)
\(500\) −12.8844 18.2754i −0.576209 0.817302i
\(501\) −0.418068 + 0.241372i −0.0186779 + 0.0107837i
\(502\) 0.690513 + 1.98616i 0.0308191 + 0.0886469i
\(503\) −7.25876 7.25876i −0.323652 0.323652i 0.526514 0.850166i \(-0.323499\pi\)
−0.850166 + 0.526514i \(0.823499\pi\)
\(504\) −9.95622 + 20.0954i −0.443485 + 0.895122i
\(505\) 0.188599 10.2679i 0.00839256 0.456916i
\(506\) −11.4981 + 23.7538i −0.511152 + 1.05598i
\(507\) −0.347217 + 1.29583i −0.0154204 + 0.0575499i
\(508\) −35.1893 4.10813i −1.56127 0.182269i
\(509\) −6.96639 4.02204i −0.308780 0.178274i 0.337601 0.941289i \(-0.390385\pi\)
−0.646380 + 0.763015i \(0.723718\pi\)
\(510\) −0.638391 + 0.711957i −0.0282684 + 0.0315260i
\(511\) −12.0713 + 4.66571i −0.534002 + 0.206399i
\(512\) −2.93959 + 22.4357i −0.129913 + 0.991525i
\(513\) −0.152594 0.569488i −0.00673719 0.0251435i
\(514\) −23.4508 + 15.9196i −1.03437 + 0.702182i
\(515\) −28.9305 8.32427i −1.27483 0.366811i
\(516\) 0.988529 + 0.392560i 0.0435175 + 0.0172815i
\(517\) −21.1100 21.1100i −0.928418 0.928418i
\(518\) −21.4172 7.66729i −0.941019 0.336882i
\(519\) 0.693101i 0.0304238i
\(520\) 36.4864 + 12.2368i 1.60003 + 0.536621i
\(521\) 13.1440 7.58870i 0.575849 0.332467i −0.183633 0.982995i \(-0.558786\pi\)
0.759482 + 0.650528i \(0.225452\pi\)
\(522\) 3.40162 17.7824i 0.148885 0.778313i
\(523\) 7.71537 + 28.7942i 0.337370 + 1.25908i 0.901277 + 0.433243i \(0.142631\pi\)
−0.563908 + 0.825838i \(0.690703\pi\)
\(524\) −4.71680 32.1705i −0.206055 1.40537i
\(525\) −0.484354 + 0.557729i −0.0211389 + 0.0243413i
\(526\) 0.949411 + 13.0200i 0.0413963 + 0.567697i
\(527\) −30.3884 + 8.14254i −1.32374 + 0.354694i
\(528\) 0.0245717 + 0.836559i 0.00106935 + 0.0364066i
\(529\) −1.56103 + 0.901260i −0.0678708 + 0.0391852i
\(530\) 7.15058 + 3.62482i 0.310601 + 0.157452i
\(531\) −5.61604 −0.243715
\(532\) −6.52693 6.64802i −0.282978 0.288228i
\(533\) 17.6587 + 17.6587i 0.764884 + 0.764884i
\(534\) −0.201388 0.0974824i −0.00871492 0.00421848i
\(535\) −3.63848 + 12.6453i −0.157305 + 0.546706i
\(536\) 13.9070 + 15.1705i 0.600690 + 0.655267i
\(537\) −0.0775012 0.289238i −0.00334442 0.0124816i
\(538\) 7.35649 + 6.35654i 0.317161 + 0.274050i
\(539\) 5.57163 + 25.6303i 0.239987 + 1.10397i
\(540\) −1.18472 0.916024i −0.0509824 0.0394194i
\(541\) −8.36126 4.82737i −0.359479 0.207545i 0.309373 0.950941i \(-0.399881\pi\)
−0.668852 + 0.743396i \(0.733214\pi\)
\(542\) 3.24845 16.9816i 0.139533 0.729424i
\(543\) 0.375299 + 0.100561i 0.0161056 + 0.00431549i
\(544\) −30.2447 4.86984i −1.29673 0.208793i
\(545\) −0.443486 + 24.1447i −0.0189969 + 1.03425i
\(546\) 0.104108 1.26705i 0.00445539 0.0542246i
\(547\) −14.8032 + 14.8032i −0.632938 + 0.632938i −0.948804 0.315866i \(-0.897705\pi\)
0.315866 + 0.948804i \(0.397705\pi\)
\(548\) 14.0341 + 32.5224i 0.599506 + 1.38929i
\(549\) −14.2758 + 8.24213i −0.609276 + 0.351765i
\(550\) 5.93035 25.8229i 0.252871 1.10109i
\(551\) 6.51347 + 3.76055i 0.277483 + 0.160205i
\(552\) −0.422485 + 0.663470i −0.0179821 + 0.0282392i
\(553\) 2.01643 + 18.7684i 0.0857474 + 0.798113i
\(554\) 0.653964 + 8.96828i 0.0277843 + 0.381026i
\(555\) 0.391571 0.650339i 0.0166213 0.0276053i
\(556\) 4.41941 + 5.58768i 0.187425 + 0.236970i
\(557\) −29.1024 7.79797i −1.23311 0.330411i −0.417320 0.908760i \(-0.637031\pi\)
−0.815790 + 0.578349i \(0.803697\pi\)
\(558\) −8.08529 23.2562i −0.342278 0.984514i
\(559\) 57.9512 2.45107
\(560\) −23.4202 3.39061i −0.989682 0.143279i
\(561\) −1.13307 −0.0478381
\(562\) 11.1449 + 32.0568i 0.470121 + 1.35224i
\(563\) 9.75655 + 2.61426i 0.411189 + 0.110178i 0.458483 0.888703i \(-0.348393\pi\)
−0.0472936 + 0.998881i \(0.515060\pi\)
\(564\) −0.551984 0.697901i −0.0232427 0.0293869i
\(565\) 4.07289 1.01154i 0.171348 0.0425558i
\(566\) 2.17044 + 29.7648i 0.0912305 + 1.25111i
\(567\) 9.60486 21.7075i 0.403366 0.911631i
\(568\) −10.8032 6.87927i −0.453292 0.288648i
\(569\) 27.0460 + 15.6150i 1.13383 + 0.654616i 0.944895 0.327374i \(-0.106164\pi\)
0.188933 + 0.981990i \(0.439497\pi\)
\(570\) 0.260389 0.169864i 0.0109065 0.00711483i
\(571\) 0.941648 0.543661i 0.0394068 0.0227515i −0.480167 0.877177i \(-0.659424\pi\)
0.519574 + 0.854425i \(0.326091\pi\)
\(572\) 18.0667 + 41.8676i 0.755408 + 1.75057i
\(573\) 0.122098 0.122098i 0.00510073 0.00510073i
\(574\) −12.6256 8.74149i −0.526984 0.364863i
\(575\) 18.2424 16.9492i 0.760763 0.706831i
\(576\) 2.07971 23.8847i 0.0866545 0.995195i
\(577\) 0.903504 + 0.242093i 0.0376133 + 0.0100785i 0.277577 0.960703i \(-0.410469\pi\)
−0.239963 + 0.970782i \(0.577135\pi\)
\(578\) 3.27534 17.1222i 0.136236 0.712189i
\(579\) 0.435376 + 0.251365i 0.0180936 + 0.0104464i
\(580\) 18.9496 2.42378i 0.786839 0.100642i
\(581\) 11.3865 + 1.77652i 0.472391 + 0.0737024i
\(582\) −0.650620 0.562183i −0.0269691 0.0233032i
\(583\) 2.45857 + 9.17550i 0.101823 + 0.380010i
\(584\) 10.1984 9.34898i 0.422013 0.386864i
\(585\) −39.1859 11.2751i −1.62014 0.466167i
\(586\) −18.2801 8.84849i −0.755142 0.365528i
\(587\) −17.2886 17.2886i −0.713579 0.713579i 0.253703 0.967282i \(-0.418351\pi\)
−0.967282 + 0.253703i \(0.918351\pi\)
\(588\) 0.0763623 + 0.778016i 0.00314913 + 0.0320848i
\(589\) 10.2283 0.421451
\(590\) −1.84287 5.63215i −0.0758696 0.231872i
\(591\) 0.743486 0.429252i 0.0305829 0.0176571i
\(592\) 24.3085 0.713997i 0.999072 0.0293451i
\(593\) −18.0866 + 4.84630i −0.742729 + 0.199014i −0.610291 0.792178i \(-0.708947\pi\)
−0.132438 + 0.991191i \(0.542281\pi\)
\(594\) −0.129050 1.76975i −0.00529498 0.0726139i
\(595\) 5.51933 31.5590i 0.226270 1.29379i
\(596\) 2.66184 + 18.1548i 0.109033 + 0.743651i
\(597\) −0.183767 0.685829i −0.00752109 0.0280691i
\(598\) −8.05198 + 42.0926i −0.329270 + 1.72130i
\(599\) 5.32677 3.07541i 0.217646 0.125658i −0.387214 0.921990i \(-0.626563\pi\)
0.604860 + 0.796332i \(0.293229\pi\)
\(600\) 0.264809 0.743968i 0.0108108 0.0303724i
\(601\) 36.1250i 1.47357i −0.676128 0.736785i \(-0.736343\pi\)
0.676128 0.736785i \(-0.263657\pi\)
\(602\) −35.0606 + 6.37337i −1.42896 + 0.259759i
\(603\) −15.4192 15.4192i −0.627918 0.627918i
\(604\) −34.7507 13.8000i −1.41398 0.561515i
\(605\) 5.94811 3.29000i 0.241825 0.133757i
\(606\) 0.300073 0.203705i 0.0121896 0.00827493i
\(607\) −0.139055 0.518960i −0.00564407 0.0210639i 0.963046 0.269336i \(-0.0868041\pi\)
−0.968690 + 0.248272i \(0.920137\pi\)
\(608\) 9.08826 + 4.07432i 0.368578 + 0.165235i
\(609\) −0.227526 0.588662i −0.00921981 0.0238538i
\(610\) −12.9503 11.6121i −0.524341 0.470162i
\(611\) −41.9856 24.2404i −1.69855 0.980661i
\(612\) 32.2398 + 3.76379i 1.30322 + 0.152142i
\(613\) −8.67594 + 32.3791i −0.350418 + 1.30778i 0.535736 + 0.844386i \(0.320034\pi\)
−0.886154 + 0.463392i \(0.846632\pi\)
\(614\) 20.4243 42.1945i 0.824258 1.70283i
\(615\) 0.368953 0.355643i 0.0148776 0.0143409i
\(616\) −15.5350 23.3431i −0.625921 0.940518i
\(617\) 28.3112 + 28.3112i 1.13977 + 1.13977i 0.988492 + 0.151274i \(0.0483376\pi\)
0.151274 + 0.988492i \(0.451662\pi\)
\(618\) −0.349125 1.00421i −0.0140438 0.0403951i
\(619\) −8.65792 + 4.99865i −0.347991 + 0.200913i −0.663800 0.747910i \(-0.731057\pi\)
0.315809 + 0.948823i \(0.397724\pi\)
\(620\) 20.6698 15.7399i 0.830119 0.632128i
\(621\) 0.833846 1.44426i 0.0334611 0.0579563i
\(622\) −3.02714 2.61567i −0.121377 0.104879i
\(623\) 7.45324 0.800760i 0.298608 0.0320818i
\(624\) 0.390151 + 1.30189i 0.0156185 + 0.0521173i
\(625\) −14.0554 + 20.6748i −0.562215 + 0.826991i
\(626\) −10.8658 16.0062i −0.434285 0.639736i
\(627\) 0.355829 + 0.0953440i 0.0142104 + 0.00380767i
\(628\) 12.3340 + 28.5826i 0.492179 + 1.14057i
\(629\) 32.9243i 1.31278i
\(630\) 24.9476 + 2.51185i 0.993935 + 0.100075i
\(631\) −30.4069 −1.21048 −0.605239 0.796043i \(-0.706923\pi\)
−0.605239 + 0.796043i \(0.706923\pi\)
\(632\) −9.32164 17.8977i −0.370795 0.711932i
\(633\) 0.158139 0.590181i 0.00628544 0.0234576i
\(634\) −2.63845 + 1.79111i −0.104786 + 0.0711341i
\(635\) 9.54746 + 38.4422i 0.378879 + 1.52553i
\(636\) 0.0410722 + 0.280129i 0.00162862 + 0.0111078i
\(637\) 19.5121 + 37.8616i 0.773096 + 1.50013i
\(638\) 17.1280 + 14.7998i 0.678103 + 0.585930i
\(639\) 11.7523 + 6.78517i 0.464912 + 0.268417i
\(640\) 24.6357 5.75192i 0.973810 0.227365i
\(641\) 5.10801 + 8.84733i 0.201754 + 0.349449i 0.949094 0.314994i \(-0.102002\pi\)
−0.747339 + 0.664442i \(0.768669\pi\)
\(642\) −0.438932 + 0.152600i −0.0173233 + 0.00602264i
\(643\) 20.1145 20.1145i 0.793240 0.793240i −0.188780 0.982019i \(-0.560453\pi\)
0.982019 + 0.188780i \(0.0604533\pi\)
\(644\) 0.242193 26.3517i 0.00954376 1.03840i
\(645\) 0.0218387 1.18897i 0.000859898 0.0468155i
\(646\) −5.87490 + 12.1369i −0.231145 + 0.477521i
\(647\) −32.9538 8.82994i −1.29555 0.347141i −0.455782 0.890091i \(-0.650640\pi\)
−0.839765 + 0.542951i \(0.817307\pi\)
\(648\) −1.10168 + 25.3526i −0.0432780 + 0.995943i
\(649\) 3.51085 6.08097i 0.137813 0.238699i
\(650\) −1.55116 42.9982i −0.0608413 1.68653i
\(651\) −0.668244 0.538585i −0.0261905 0.0211088i
\(652\) −1.13850 + 1.52971i −0.0445870 + 0.0599079i
\(653\) 1.97476 0.529135i 0.0772783 0.0207067i −0.219973 0.975506i \(-0.570597\pi\)
0.297251 + 0.954799i \(0.403930\pi\)
\(654\) −0.705614 + 0.479006i −0.0275917 + 0.0187306i
\(655\) −31.8105 + 17.5949i −1.24294 + 0.687490i
\(656\) 15.9753 + 3.78157i 0.623729 + 0.147645i
\(657\) −10.3656 + 10.3656i −0.404399 + 0.404399i
\(658\) 28.0673 + 10.0480i 1.09418 + 0.391712i
\(659\) −15.3342 −0.597337 −0.298668 0.954357i \(-0.596542\pi\)
−0.298668 + 0.954357i \(0.596542\pi\)
\(660\) 0.865792 0.354892i 0.0337009 0.0138141i
\(661\) 7.65234 + 13.2542i 0.297641 + 0.515530i 0.975596 0.219574i \(-0.0704667\pi\)
−0.677954 + 0.735104i \(0.737133\pi\)
\(662\) −0.533401 + 2.78841i −0.0207312 + 0.108375i
\(663\) −1.77732 + 0.476231i −0.0690253 + 0.0184953i
\(664\) −12.0273 + 2.66900i −0.466751 + 0.103577i
\(665\) −4.38888 + 9.44637i −0.170194 + 0.366314i
\(666\) −25.6991 + 1.87397i −0.995820 + 0.0726149i
\(667\) 5.50621 + 20.5495i 0.213201 + 0.795678i
\(668\) −2.00493 + 17.1737i −0.0775729 + 0.664471i
\(669\) −0.0981159 0.169942i −0.00379338 0.00657033i
\(670\) 10.4037 20.5231i 0.401931 0.792877i
\(671\) 20.6102i 0.795646i
\(672\) −0.379222 0.744739i −0.0146288 0.0287289i
\(673\) −5.40219 + 5.40219i −0.208239 + 0.208239i −0.803519 0.595280i \(-0.797041\pi\)
0.595280 + 0.803519i \(0.297041\pi\)
\(674\) −9.28030 + 19.1721i −0.357464 + 0.738482i
\(675\) −0.492444 + 1.60026i −0.0189542 + 0.0615941i
\(676\) 29.8074 + 37.6870i 1.14644 + 1.44950i
\(677\) −7.50113 + 2.00992i −0.288292 + 0.0772476i −0.400067 0.916486i \(-0.631013\pi\)
0.111775 + 0.993734i \(0.464346\pi\)
\(678\) 0.112143 + 0.0968999i 0.00430683 + 0.00372142i
\(679\) 28.4640 + 4.44095i 1.09235 + 0.170428i
\(680\) 6.80467 + 33.5673i 0.260947 + 1.28725i
\(681\) −0.444721 + 0.770279i −0.0170417 + 0.0295172i
\(682\) 30.2360 + 5.78390i 1.15780 + 0.221477i
\(683\) 1.48758 5.55174i 0.0569208 0.212431i −0.931608 0.363465i \(-0.881594\pi\)
0.988529 + 0.151034i \(0.0482603\pi\)
\(684\) −9.80787 3.89486i −0.375013 0.148924i
\(685\) 28.5124 27.4839i 1.08940 1.05011i
\(686\) −15.9688 20.7605i −0.609692 0.792639i
\(687\) −0.865688 0.865688i −0.0330280 0.0330280i
\(688\) 32.4183 20.0082i 1.23594 0.762807i
\(689\) 7.71297 + 13.3593i 0.293841 + 0.508947i
\(690\) 0.860566 + 0.181062i 0.0327612 + 0.00689292i
\(691\) 14.5306 25.1677i 0.552769 0.957425i −0.445304 0.895379i \(-0.646904\pi\)
0.998073 0.0620452i \(-0.0197623\pi\)
\(692\) 19.9145 + 14.8216i 0.757036 + 0.563431i
\(693\) 17.5184 + 23.9954i 0.665470 + 0.911510i
\(694\) −1.14039 15.6390i −0.0432887 0.593649i
\(695\) 4.10852 6.82361i 0.155845 0.258834i
\(696\) 0.455908 + 0.497330i 0.0172811 + 0.0188513i
\(697\) −5.75248 + 21.4685i −0.217891 + 0.813179i
\(698\) −15.4498 + 5.37129i −0.584782 + 0.203306i
\(699\) 1.15834i 0.0438125i
\(700\) 5.66732 + 25.8434i 0.214204 + 0.976789i
\(701\) 48.3092i 1.82461i −0.409506 0.912307i \(-0.634299\pi\)
0.409506 0.912307i \(-0.365701\pi\)
\(702\) −0.946258 2.72178i −0.0357142 0.102727i
\(703\) 2.77048 10.3396i 0.104491 0.389964i
\(704\) 24.5619 + 17.1833i 0.925710 + 0.647620i
\(705\) −0.513154 + 0.852269i −0.0193265 + 0.0320983i
\(706\) −1.27828 + 0.0932117i −0.0481087 + 0.00350807i
\(707\) −4.91672 + 11.1121i −0.184912 + 0.417912i
\(708\) 0.124952 0.167888i 0.00469597 0.00630960i
\(709\) 13.6833 23.7002i 0.513887 0.890078i −0.485983 0.873968i \(-0.661538\pi\)
0.999870 0.0161103i \(-0.00512830\pi\)
\(710\) −2.94821 + 14.0125i −0.110645 + 0.525880i
\(711\) 10.6908 + 18.5170i 0.400936 + 0.694441i
\(712\) −7.10748 + 3.70178i −0.266364 + 0.138730i
\(713\) 20.4581 + 20.4581i 0.766160 + 0.766160i
\(714\) 1.02291 0.483587i 0.0382813 0.0180978i
\(715\) 36.7054 35.3813i 1.37270 1.32319i
\(716\) −9.96786 3.95839i −0.372516 0.147932i
\(717\) 0.293869 1.09673i 0.0109747 0.0409583i
\(718\) −5.43172 + 28.3949i −0.202710 + 1.05969i
\(719\) −14.0998 + 24.4216i −0.525835 + 0.910773i 0.473712 + 0.880680i \(0.342914\pi\)
−0.999547 + 0.0300935i \(0.990420\pi\)
\(720\) −25.8137 + 7.22196i −0.962020 + 0.269147i
\(721\) 27.7335 + 22.3524i 1.03285 + 0.832446i
\(722\) −14.7016 + 17.0144i −0.547139 + 0.633209i
\(723\) 0.0588058 0.0157570i 0.00218701 0.000586008i
\(724\) 10.9149 8.63283i 0.405649 0.320837i
\(725\) −9.99296 18.8771i −0.371129 0.701076i
\(726\) 0.216073 + 0.104591i 0.00801923 + 0.00388172i
\(727\) −30.4917 + 30.4917i −1.13088 + 1.13088i −0.140844 + 0.990032i \(0.544982\pi\)
−0.990032 + 0.140844i \(0.955018\pi\)
\(728\) −34.1791 30.0863i −1.26676 1.11507i
\(729\) 26.8318i 0.993769i
\(730\) −13.7967 6.99391i −0.510639 0.258856i
\(731\) 25.7880 + 44.6661i 0.953802 + 1.65203i
\(732\) 0.0712306 0.610144i 0.00263276 0.0225516i
\(733\) −1.97903 7.38583i −0.0730970 0.272802i 0.919698 0.392626i \(-0.128433\pi\)
−0.992795 + 0.119825i \(0.961767\pi\)
\(734\) 0.913644 + 12.5295i 0.0337232 + 0.462471i
\(735\) 0.784147 0.386055i 0.0289237 0.0142398i
\(736\) 10.0286 + 26.3270i 0.369658 + 0.970424i
\(737\) 26.3349 7.05642i 0.970059 0.259927i
\(738\) −17.0847 3.26817i −0.628897 0.120303i
\(739\) −21.3026 36.8973i −0.783630 1.35729i −0.929814 0.368030i \(-0.880032\pi\)
0.146184 0.989257i \(-0.453301\pi\)
\(740\) −10.3123 25.1579i −0.379089 0.924823i
\(741\) 0.598222 0.0219762
\(742\) −6.13559 7.23412i −0.225245 0.265573i
\(743\) −3.01521 + 3.01521i −0.110617 + 0.110617i −0.760249 0.649632i \(-0.774923\pi\)
0.649632 + 0.760249i \(0.274923\pi\)
\(744\) 0.875118 + 0.275725i 0.0320834 + 0.0101086i
\(745\) 17.9517 9.92936i 0.657698 0.363784i
\(746\) 4.27121 + 6.29183i 0.156380 + 0.230360i
\(747\) 12.6089 3.37854i 0.461334 0.123614i
\(748\) −24.2300 + 32.5558i −0.885935 + 1.19036i
\(749\) 9.77008 12.1221i 0.356991 0.442933i
\(750\) −0.882763 + 0.0156208i −0.0322340 + 0.000570393i
\(751\) 15.5317 26.9016i 0.566758 0.981654i −0.430126 0.902769i \(-0.641531\pi\)
0.996884 0.0788849i \(-0.0251360\pi\)
\(752\) −31.8563 + 0.935693i −1.16168 + 0.0341212i
\(753\) 0.0801980 + 0.0214890i 0.00292258 + 0.000783103i
\(754\) 33.0872 + 16.0159i 1.20496 + 0.583265i
\(755\) −0.767716 + 41.7968i −0.0279401 + 1.52114i
\(756\) 0.871825 + 1.54261i 0.0317080 + 0.0561044i
\(757\) 15.6958 15.6958i 0.570474 0.570474i −0.361787 0.932261i \(-0.617833\pi\)
0.932261 + 0.361787i \(0.117833\pi\)
\(758\) −14.3806 41.3638i −0.522327 1.50240i
\(759\) 0.521005 + 0.902407i 0.0189113 + 0.0327553i
\(760\) 0.687644 11.1141i 0.0249435 0.403150i
\(761\) −25.0148 14.4423i −0.906787 0.523534i −0.0273912 0.999625i \(-0.508720\pi\)
−0.879396 + 0.476091i \(0.842053\pi\)
\(762\) −0.914594 + 1.05847i −0.0331322 + 0.0383443i
\(763\) 11.5615 26.1297i 0.418555 0.945959i
\(764\) −0.897188 6.11918i −0.0324591 0.221384i
\(765\) −8.74720 35.2200i −0.316256 1.27338i
\(766\) −22.2838 32.8258i −0.805146 1.18605i
\(767\) 2.95124 11.0142i 0.106563 0.397698i
\(768\) 0.667744 + 0.593584i 0.0240951 + 0.0214191i
\(769\) −20.9392 −0.755086 −0.377543 0.925992i \(-0.623231\pi\)
−0.377543 + 0.925992i \(0.623231\pi\)
\(770\) −18.3157 + 25.4426i −0.660052 + 0.916888i
\(771\) 1.11914i 0.0403050i
\(772\) 16.5326 7.13416i 0.595021 0.256764i
\(773\) 17.3465 + 4.64799i 0.623911 + 0.167176i 0.556905 0.830576i \(-0.311989\pi\)
0.0670058 + 0.997753i \(0.478655\pi\)
\(774\) −33.3963 + 22.6711i −1.20041 + 0.814896i
\(775\) −24.6051 15.4375i −0.883843 0.554532i
\(776\) −30.0660 + 6.67199i −1.07931 + 0.239510i
\(777\) −0.725444 + 0.529628i −0.0260252 + 0.0190003i
\(778\) 15.9598 18.4704i 0.572187 0.662198i
\(779\) 3.61302 6.25793i 0.129450 0.224214i
\(780\) 1.20891 0.920574i 0.0432859 0.0329618i
\(781\) −14.6938 + 8.48346i −0.525785 + 0.303562i
\(782\) −36.0261 + 12.5249i −1.28829 + 0.447890i
\(783\) −1.01149 1.01149i −0.0361477 0.0361477i
\(784\) 23.9873 + 14.4433i 0.856689 + 0.515833i
\(785\) 25.0584 24.1545i 0.894373 0.862110i
\(786\) −1.15556 0.559351i −0.0412174 0.0199514i
\(787\) −10.5598 + 39.4099i −0.376418 + 1.40481i 0.474844 + 0.880070i \(0.342504\pi\)
−0.851262 + 0.524741i \(0.824162\pi\)
\(788\) 3.56553 30.5415i 0.127017 1.08800i
\(789\) 0.446395 + 0.257726i 0.0158921 + 0.00917529i
\(790\) −15.0620 + 16.7977i −0.535882 + 0.597635i
\(791\) −4.90616 0.765459i −0.174443 0.0272166i
\(792\) −26.7906 17.0597i −0.951963 0.606191i
\(793\) −8.66250 32.3289i −0.307614 1.14803i
\(794\) −7.04098 10.3719i −0.249875 0.368086i
\(795\) 0.276994 0.153210i 0.00982396 0.00543380i
\(796\) −23.6353 9.38595i −0.837732 0.332676i
\(797\) 9.36069 + 9.36069i 0.331573 + 0.331573i 0.853184 0.521611i \(-0.174669\pi\)
−0.521611 + 0.853184i \(0.674669\pi\)
\(798\) −0.361926 + 0.0657915i −0.0128120 + 0.00232899i
\(799\) 43.1473i 1.52644i
\(800\) −15.7133 23.5179i −0.555548 0.831484i
\(801\) 7.35341 4.24549i 0.259820 0.150007i
\(802\) −10.2347 1.95781i −0.361400 0.0691328i
\(803\) −4.74369 17.7037i −0.167401 0.624749i
\(804\) 0.804008 0.117883i 0.0283552 0.00415740i
\(805\) −27.6724 + 10.1157i −0.975324 + 0.356530i
\(806\) 49.8588 3.63569i 1.75620 0.128062i
\(807\) 0.370801 0.0993559i 0.0130528 0.00349749i
\(808\) 0.563947 12.9779i 0.0198396 0.456563i
\(809\) 14.0077 8.08736i 0.492485 0.284337i −0.233120 0.972448i \(-0.574893\pi\)
0.725605 + 0.688112i \(0.241560\pi\)
\(810\) 26.9650 8.82307i 0.947454 0.310011i
\(811\) −34.0262 −1.19482 −0.597410 0.801936i \(-0.703804\pi\)
−0.597410 + 0.801936i \(0.703804\pi\)
\(812\) −21.7792 6.05079i −0.764301 0.212341i
\(813\) −0.482721 0.482721i −0.0169298 0.0169298i
\(814\) 14.0366 28.9981i 0.491983 1.01638i
\(815\) 2.04883 + 0.589515i 0.0717672 + 0.0206498i
\(816\) −0.829821 + 0.880044i −0.0290496 + 0.0308077i
\(817\) −4.33995 16.1969i −0.151836 0.566658i
\(818\) 10.1789 11.7801i 0.355896 0.411882i
\(819\) 37.5645 + 30.2759i 1.31261 + 1.05793i
\(820\) −2.32869 18.2061i −0.0813213 0.635786i
\(821\) 23.4637 + 13.5468i 0.818888 + 0.472785i 0.850033 0.526730i \(-0.176582\pi\)
−0.0311451 + 0.999515i \(0.509915\pi\)
\(822\) 1.37368 + 0.262774i 0.0479127 + 0.00916530i
\(823\) 15.4798 + 4.14781i 0.539593 + 0.144584i 0.518315 0.855190i \(-0.326560\pi\)
0.0212785 + 0.999774i \(0.493226\pi\)
\(824\) −36.3192 11.4432i −1.26524 0.398641i
\(825\) −0.712075 0.766406i −0.0247913 0.0266828i
\(826\) −0.574187 + 6.98817i −0.0199785 + 0.243150i
\(827\) 16.7745 16.7745i 0.583307 0.583307i −0.352503 0.935811i \(-0.614670\pi\)
0.935811 + 0.352503i \(0.114670\pi\)
\(828\) −11.8268 27.4073i −0.411011 0.952470i
\(829\) −43.0035 + 24.8281i −1.49357 + 0.862315i −0.999973 0.00737354i \(-0.997653\pi\)
−0.493601 + 0.869689i \(0.664320\pi\)
\(830\) 7.52575 + 11.5364i 0.261222 + 0.400434i
\(831\) 0.307481 + 0.177524i 0.0106664 + 0.00615825i
\(832\) 45.7497 + 16.6302i 1.58609 + 0.576547i
\(833\) −20.4992 + 31.8872i −0.710255 + 1.10483i
\(834\) 0.280548 0.0204575i 0.00971460 0.000708385i
\(835\) 18.7612 4.65953i 0.649260 0.161250i
\(836\) 10.3487 8.18497i 0.357916 0.283083i
\(837\) −1.87907 0.503495i −0.0649502 0.0174033i
\(838\) −17.9018 + 6.22376i −0.618406 + 0.214996i
\(839\) −29.4322 −1.01611 −0.508056 0.861324i \(-0.669636\pi\)
−0.508056 + 0.861324i \(0.669636\pi\)
\(840\) −0.630151 + 0.689904i −0.0217423 + 0.0238039i
\(841\) −10.7519 −0.370755
\(842\) 23.7385 8.25295i 0.818081 0.284416i
\(843\) 1.29440 + 0.346834i 0.0445816 + 0.0119456i
\(844\) −13.5757 17.1644i −0.467294 0.590823i
\(845\) 27.7106 46.0230i 0.953273 1.58324i
\(846\) 33.6787 2.45584i 1.15790 0.0844335i
\(847\) −7.99672 + 0.859150i −0.274771 + 0.0295207i
\(848\) 8.92711 + 4.81028i 0.306558 + 0.165186i
\(849\) 1.02050 + 0.589186i 0.0350235 + 0.0202208i
\(850\) 32.4507 20.3295i 1.11305 0.697296i
\(851\) 26.2219 15.1392i 0.898874 0.518965i
\(852\) −0.464315 + 0.200362i −0.0159072 + 0.00686428i
\(853\) 20.5357 20.5357i 0.703129 0.703129i −0.261952 0.965081i \(-0.584366\pi\)
0.965081 + 0.261952i \(0.0843663\pi\)
\(854\) 8.79631 + 18.6064i 0.301004 + 0.636697i
\(855\) −0.216677 + 11.7965i −0.00741019 + 0.403433i
\(856\) −5.00173 + 15.8749i −0.170956 + 0.542592i
\(857\) −51.9914 13.9310i −1.77599 0.475875i −0.786148 0.618038i \(-0.787928\pi\)
−0.989843 + 0.142163i \(0.954594\pi\)
\(858\) 1.76841 + 0.338282i 0.0603724 + 0.0115487i
\(859\) −35.2576 20.3560i −1.20297 0.694537i −0.241759 0.970336i \(-0.577724\pi\)
−0.961215 + 0.275799i \(0.911058\pi\)
\(860\) −33.6949 26.0528i −1.14899 0.888393i
\(861\) −0.565567 + 0.218599i −0.0192745 + 0.00744985i
\(862\) −28.0327 + 32.4426i −0.954799 + 1.10500i
\(863\) 4.36934 + 16.3066i 0.148734 + 0.555083i 0.999561 + 0.0296367i \(0.00943505\pi\)
−0.850827 + 0.525447i \(0.823898\pi\)
\(864\) −1.46906 1.19588i −0.0499786 0.0406846i
\(865\) 7.67462 26.6727i 0.260945 0.906899i
\(866\) −12.2238 + 25.2531i −0.415382 + 0.858136i
\(867\) −0.486716 0.486716i −0.0165297 0.0165297i
\(868\) −29.7649 + 7.68299i −1.01029 + 0.260778i
\(869\) −26.7332 −0.906863
\(870\) 0.341062 0.672803i 0.0115631 0.0228101i
\(871\) 38.3429 22.1373i 1.29920 0.750092i
\(872\) −1.32611 + 30.5173i −0.0449076 + 1.03345i
\(873\) 31.5198 8.44569i 1.06678 0.285843i
\(874\) 12.3676 0.901839i 0.418339 0.0305052i
\(875\) 24.8151 16.1000i 0.838905 0.544278i
\(876\) −0.0792469 0.540495i −0.00267750 0.0182616i
\(877\) 12.8664 + 48.0179i 0.434466 + 1.62145i 0.742341 + 0.670023i \(0.233716\pi\)
−0.307874 + 0.951427i \(0.599618\pi\)
\(878\) −4.58809 0.877664i −0.154840 0.0296197i
\(879\) −0.694459 + 0.400946i −0.0234235 + 0.0135236i
\(880\) 8.31752 32.4655i 0.280383 1.09441i
\(881\) 33.1692i 1.11750i −0.829337 0.558749i \(-0.811281\pi\)
0.829337 0.558749i \(-0.188719\pi\)
\(882\) −26.0563 14.1857i −0.877363 0.477658i
\(883\) 18.3349 + 18.3349i 0.617017 + 0.617017i 0.944765 0.327748i \(-0.106290\pi\)
−0.327748 + 0.944765i \(0.606290\pi\)
\(884\) −24.3236 + 61.2507i −0.818091 + 2.06008i
\(885\) −0.224862 0.0647002i −0.00755865 0.00217487i
\(886\) −9.90661 14.5932i −0.332819 0.490269i
\(887\) −1.61966 6.04466i −0.0543829 0.202960i 0.933389 0.358867i \(-0.116837\pi\)
−0.987772 + 0.155907i \(0.950170\pi\)
\(888\) 0.515761 0.809951i 0.0173078 0.0271802i
\(889\) 7.22482 46.3070i 0.242313 1.55309i
\(890\) 6.67064 + 5.98138i 0.223600 + 0.200496i
\(891\) 29.1138 + 16.8089i 0.975349 + 0.563118i
\(892\) −6.98100 0.814989i −0.233741 0.0272878i
\(893\) −3.63071 + 13.5500i −0.121497 + 0.453433i
\(894\) 0.652119 + 0.315659i 0.0218101 + 0.0105572i
\(895\) −0.220211 + 11.9890i −0.00736085 + 0.400747i
\(896\) −29.5076 5.02981i −0.985781 0.168034i
\(897\) 1.19653 + 1.19653i 0.0399509 + 0.0399509i
\(898\) 4.54675 1.58073i 0.151727 0.0527496i
\(899\) 21.4917 12.4082i 0.716789 0.413838i
\(900\) 17.7152 + 24.1723i 0.590507 + 0.805744i
\(901\) −6.86446 + 11.8896i −0.228688 + 0.396100i
\(902\) 14.2192 16.4560i 0.473447 0.547925i
\(903\) −0.569327 + 1.28671i −0.0189460 + 0.0428191i
\(904\) 5.18229 1.15001i 0.172360 0.0382487i
\(905\) −13.3292 8.02554i −0.443077 0.266778i
\(906\) −1.22148 + 0.829204i −0.0405811 + 0.0275485i
\(907\) −41.6743 11.1666i −1.38377 0.370781i −0.511282 0.859413i \(-0.670829\pi\)
−0.872490 + 0.488632i \(0.837496\pi\)
\(908\) 12.6219 + 29.2499i 0.418874 + 0.970692i
\(909\) 13.7639i 0.456519i
\(910\) −18.0362 + 47.6071i −0.597895 + 1.57816i
\(911\) 19.3429 0.640861 0.320430 0.947272i \(-0.396173\pi\)
0.320430 + 0.947272i \(0.396173\pi\)
\(912\) 0.334650 0.206542i 0.0110814 0.00683930i
\(913\) −4.22416 + 15.7648i −0.139799 + 0.521738i
\(914\) −0.288806 0.425434i −0.00955284 0.0140721i
\(915\) −0.666545 + 0.165543i −0.0220353 + 0.00547267i
\(916\) −43.3856 + 6.36115i −1.43350 + 0.210178i
\(917\) 42.7665 4.59473i 1.41227 0.151731i
\(918\) 1.67674 1.94051i 0.0553406 0.0640463i
\(919\) 0.611259 + 0.352911i 0.0201636 + 0.0116414i 0.510048 0.860146i \(-0.329628\pi\)
−0.489884 + 0.871787i \(0.662961\pi\)
\(920\) 23.6051 20.8543i 0.778236 0.687546i
\(921\) −0.925474 1.60297i −0.0304954 0.0528196i
\(922\) 4.86349 + 13.9892i 0.160171 + 0.460708i
\(923\) −19.4829 + 19.4829i −0.641287 + 0.641287i
\(924\) −1.10709 0.0101751i −0.0364207 0.000334736i
\(925\) −22.2700 + 20.6913i −0.732233 + 0.680324i
\(926\) 50.9918 + 24.6827i 1.67570 + 0.811124i
\(927\) 38.9724 + 10.4426i 1.28002 + 0.342981i
\(928\) 24.0389 2.46426i 0.789114 0.0808933i
\(929\) −26.5494 + 45.9849i −0.871058 + 1.50872i −0.0101547 + 0.999948i \(0.503232\pi\)
−0.860903 + 0.508768i \(0.830101\pi\)
\(930\) −0.0558031 1.02431i −0.00182986 0.0335884i
\(931\) 9.12077 8.28892i 0.298921 0.271658i
\(932\) −33.2821 24.7705i −1.09019 0.811383i
\(933\) −0.152582 + 0.0408842i −0.00499530 + 0.00133849i
\(934\) −13.3572 19.6762i −0.437061 0.643826i
\(935\) 43.6040 + 12.5463i 1.42600 + 0.410308i
\(936\) −49.1937 15.4996i −1.60795 0.506619i
\(937\) −23.7175 + 23.7175i −0.774816 + 0.774816i −0.978944 0.204128i \(-0.934564\pi\)
0.204128 + 0.978944i \(0.434564\pi\)
\(938\) −20.7629 + 17.6100i −0.677933 + 0.574986i
\(939\) −0.763865 −0.0249278
\(940\) 13.5143 + 32.9695i 0.440789 + 1.07535i
\(941\) 4.80702 + 8.32600i 0.156704 + 0.271420i 0.933678 0.358113i \(-0.116580\pi\)
−0.776974 + 0.629533i \(0.783246\pi\)
\(942\) 1.20727 + 0.230941i 0.0393351 + 0.00752448i
\(943\) 19.7432 5.29019i 0.642928 0.172272i
\(944\) −2.15181 7.18035i −0.0700354 0.233700i
\(945\) 1.27129 1.51937i 0.0413552 0.0494251i
\(946\) −3.67033 50.3338i −0.119333 1.63649i
\(947\) −13.1658 49.1353i −0.427830 1.59668i −0.757664 0.652645i \(-0.773659\pi\)
0.329834 0.944039i \(-0.393007\pi\)
\(948\) −0.791412 0.0923925i −0.0257039 0.00300077i
\(949\) −14.8818 25.7760i −0.483084 0.836726i
\(950\) −11.9015 + 3.65366i −0.386135 + 0.118540i
\(951\) 0.125915i 0.00408307i
\(952\) 7.97959 39.7319i 0.258620 1.28772i
\(953\) −2.04651 + 2.04651i −0.0662929 + 0.0662929i −0.739476 0.673183i \(-0.764927\pi\)
0.673183 + 0.739476i \(0.264927\pi\)
\(954\) −9.67113 4.68133i −0.313115 0.151564i
\(955\) −6.05070 + 3.34674i −0.195796 + 0.108298i
\(956\) −25.2277 31.8966i −0.815922 1.03161i
\(957\) 0.863329 0.231328i 0.0279075 0.00747778i
\(958\) −26.0625 + 30.1624i −0.842042 + 0.974504i
\(959\) −43.7067 + 16.8932i −1.41136 + 0.545511i
\(960\) 0.358436 0.932364i 0.0115685 0.0300919i
\(961\) 1.37459 2.38086i 0.0443415 0.0768018i
\(962\) 9.82969 51.3858i 0.316922 1.65675i
\(963\) 4.56440 17.0346i 0.147086 0.548931i
\(964\) 0.804790 2.02659i 0.0259205 0.0652721i
\(965\) −13.9713 14.4942i −0.449753 0.466584i
\(966\) −0.855494 0.592310i −0.0275251 0.0190573i
\(967\) 36.6774 + 36.6774i 1.17947 + 1.17947i 0.979880 + 0.199586i \(0.0639598\pi\)
0.199586 + 0.979880i \(0.436040\pi\)
\(968\) 7.62575 3.97171i 0.245101 0.127656i
\(969\) 0.266206 + 0.461082i 0.00855176 + 0.0148121i
\(970\) 18.8129 + 28.8388i 0.604047 + 0.925958i
\(971\) 25.3147 43.8464i 0.812388 1.40710i −0.0988004 0.995107i \(-0.531501\pi\)
0.911188 0.411990i \(-0.135166\pi\)
\(972\) 2.41557 + 1.79781i 0.0774794 + 0.0576647i
\(973\) −7.61165 + 5.55707i −0.244018 + 0.178151i
\(974\) −32.2391 + 2.35087i −1.03301 + 0.0753266i
\(975\) −1.43908 0.902890i −0.0460873 0.0289156i
\(976\) −16.0077 15.0942i −0.512395 0.483154i
\(977\) 5.68087 21.2013i 0.181747 0.678289i −0.813556 0.581486i \(-0.802472\pi\)
0.995304 0.0968034i \(-0.0308618\pi\)
\(978\) 0.0247246 + 0.0711168i 0.000790605 + 0.00227406i
\(979\) 10.6162i 0.339296i
\(980\) 5.67621 30.7860i 0.181320 0.983424i
\(981\) 32.3653i 1.03335i
\(982\) −1.96994 + 0.684873i −0.0628633 + 0.0218552i
\(983\) −2.25599 + 8.41946i −0.0719548 + 0.268539i −0.992526 0.122037i \(-0.961057\pi\)
0.920571 + 0.390576i \(0.127724\pi\)
\(984\) 0.477818 0.438021i 0.0152323 0.0139636i
\(985\) −33.3647 + 8.28643i −1.06309 + 0.264028i
\(986\) 2.37930 + 32.6290i 0.0757723 + 1.03912i
\(987\) 0.950695 0.694078i 0.0302610 0.0220927i
\(988\) 12.7926 17.1884i 0.406988 0.546836i
\(989\) 23.7155 41.0765i 0.754110 1.30616i
\(990\) −7.31121 + 34.7492i −0.232365 + 1.10440i
\(991\) 11.7143 + 20.2898i 0.372117 + 0.644526i 0.989891 0.141830i \(-0.0452985\pi\)
−0.617774 + 0.786356i \(0.711965\pi\)
\(992\) 26.6361 19.2481i 0.845698 0.611128i
\(993\) 0.0792636 + 0.0792636i 0.00251535 + 0.00251535i
\(994\) 9.64451 13.9299i 0.305905 0.441830i
\(995\) −0.522154 + 28.4277i −0.0165534 + 0.901218i
\(996\) −0.179537 + 0.452103i −0.00568884 + 0.0143254i
\(997\) 7.36370 27.4817i 0.233211 0.870354i −0.745737 0.666241i \(-0.767902\pi\)
0.978947 0.204113i \(-0.0654310\pi\)
\(998\) 43.1092 + 8.24644i 1.36460 + 0.261036i
\(999\) −1.01794 + 1.76313i −0.0322062 + 0.0557829i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 280.2.bv.e.117.16 160
5.3 odd 4 inner 280.2.bv.e.173.4 yes 160
7.3 odd 6 inner 280.2.bv.e.157.37 yes 160
8.5 even 2 inner 280.2.bv.e.117.23 yes 160
35.3 even 12 inner 280.2.bv.e.213.23 yes 160
40.13 odd 4 inner 280.2.bv.e.173.37 yes 160
56.45 odd 6 inner 280.2.bv.e.157.4 yes 160
280.213 even 12 inner 280.2.bv.e.213.16 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.bv.e.117.16 160 1.1 even 1 trivial
280.2.bv.e.117.23 yes 160 8.5 even 2 inner
280.2.bv.e.157.4 yes 160 56.45 odd 6 inner
280.2.bv.e.157.37 yes 160 7.3 odd 6 inner
280.2.bv.e.173.4 yes 160 5.3 odd 4 inner
280.2.bv.e.173.37 yes 160 40.13 odd 4 inner
280.2.bv.e.213.16 yes 160 280.213 even 12 inner
280.2.bv.e.213.23 yes 160 35.3 even 12 inner