Properties

Label 197.3.i.a.2.1
Level $197$
Weight $3$
Character 197.2
Analytic conductor $5.368$
Analytic rank $0$
Dimension $2688$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [197,3,Mod(2,197)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(197, base_ring=CyclotomicField(196))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("197.2");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 197 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 197.i (of order \(196\), degree \(84\), 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: \(5.36786120790\)
Analytic rank: \(0\)
Dimension: \(2688\)
Relative dimension: \(32\) over \(\Q(\zeta_{196})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{196}]$

Embedding invariants

Embedding label 2.1
Character \(\chi\) \(=\) 197.2
Dual form 197.3.i.a.99.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-3.77189 - 0.0604630i) q^{2} +(-3.32606 + 0.815453i) q^{3} +(10.2255 + 0.327913i) q^{4} +(0.114711 + 0.789665i) q^{5} +(12.5948 - 2.87469i) q^{6} +(1.23384 - 1.27404i) q^{7} +(-23.4777 - 1.12981i) q^{8} +(2.41835 - 1.26165i) q^{9} +O(q^{10})\) \(q+(-3.77189 - 0.0604630i) q^{2} +(-3.32606 + 0.815453i) q^{3} +(10.2255 + 0.327913i) q^{4} +(0.114711 + 0.789665i) q^{5} +(12.5948 - 2.87469i) q^{6} +(1.23384 - 1.27404i) q^{7} +(-23.4777 - 1.12981i) q^{8} +(2.41835 - 1.26165i) q^{9} +(-0.384933 - 2.98546i) q^{10} +(-4.10405 - 2.05808i) q^{11} +(-34.2782 + 7.24778i) q^{12} +(-13.2741 - 5.62338i) q^{13} +(-4.73094 + 4.73094i) q^{14} +(-1.02547 - 2.53294i) q^{15} +(47.6479 + 3.05910i) q^{16} +(-8.49630 + 5.72642i) q^{17} +(-9.19802 + 4.61258i) q^{18} +(16.0622 - 12.8092i) q^{19} +(0.914044 + 8.11237i) q^{20} +(-3.06491 + 5.24368i) q^{21} +(15.3556 + 8.01100i) q^{22} +(-6.41916 + 17.4429i) q^{23} +(79.0097 - 15.3871i) q^{24} +(23.3563 - 6.93202i) q^{25} +(49.7285 + 22.0133i) q^{26} +(16.1306 - 14.1843i) q^{27} +(13.0345 - 12.6232i) q^{28} +(16.3351 + 10.6329i) q^{29} +(3.71482 + 9.61595i) q^{30} +(2.32438 - 2.82073i) q^{31} +(-85.8199 - 6.89260i) q^{32} +(15.3286 + 3.49865i) q^{33} +(32.3933 - 21.0857i) q^{34} +(1.14760 + 0.828173i) q^{35} +(25.1426 - 12.1081i) q^{36} +(34.6937 - 2.22741i) q^{37} +(-61.3595 + 47.3437i) q^{38} +(48.7362 + 7.87929i) q^{39} +(-1.80099 - 18.6691i) q^{40} +(4.44808 - 22.8400i) q^{41} +(11.8776 - 19.5933i) q^{42} +(19.8686 + 59.8412i) q^{43} +(-41.2913 - 22.3908i) q^{44} +(1.27369 + 1.76496i) q^{45} +(25.2670 - 65.4047i) q^{46} +(0.915357 + 1.62531i) q^{47} +(-160.975 + 28.6799i) q^{48} +(1.46971 + 45.8309i) q^{49} +(-88.5164 + 24.7346i) q^{50} +(23.5896 - 25.9748i) q^{51} +(-133.891 - 61.8548i) q^{52} +(-37.2082 - 84.0539i) q^{53} +(-61.7005 + 52.5264i) q^{54} +(1.15441 - 3.47691i) q^{55} +(-30.4072 + 28.5176i) q^{56} +(-42.9788 + 55.7023i) q^{57} +(-60.9711 - 41.0939i) q^{58} +(88.8840 + 11.4603i) q^{59} +(-9.65542 - 26.2369i) q^{60} +(13.0530 + 21.5323i) q^{61} +(-8.93786 + 10.4989i) q^{62} +(1.37646 - 4.63775i) q^{63} +(133.185 + 12.8482i) q^{64} +(2.91789 - 11.1272i) q^{65} +(-57.6063 - 14.1233i) q^{66} +(113.303 + 31.6608i) q^{67} +(-88.7570 + 55.7697i) q^{68} +(7.12666 - 63.2508i) q^{69} +(-4.27855 - 3.19316i) q^{70} +(86.5229 + 27.1959i) q^{71} +(-58.2027 + 26.8884i) q^{72} +(-42.0877 - 37.0095i) q^{73} +(-130.995 + 6.30385i) q^{74} +(-72.0318 + 42.1023i) q^{75} +(168.445 - 125.714i) q^{76} +(-7.68582 + 2.68939i) q^{77} +(-183.351 - 32.6665i) q^{78} +(13.7655 - 94.7607i) q^{79} +(3.05010 + 37.9768i) q^{80} +(-56.1297 + 80.4661i) q^{81} +(-18.1586 + 85.8808i) q^{82} +(59.4514 + 47.4109i) q^{83} +(-33.0598 + 52.6144i) q^{84} +(-5.49658 - 6.05234i) q^{85} +(-71.3241 - 226.915i) q^{86} +(-63.0021 - 22.0454i) q^{87} +(94.0285 + 52.9559i) q^{88} +(12.0517 + 14.6252i) q^{89} +(-4.69751 - 6.73424i) q^{90} +(-23.5426 + 9.97344i) q^{91} +(-71.3591 + 176.258i) q^{92} +(-5.43088 + 11.2773i) q^{93} +(-3.35435 - 6.18583i) q^{94} +(11.9575 + 11.2144i) q^{95} +(291.063 - 47.0568i) q^{96} +(-36.2431 - 138.211i) q^{97} +(-2.77250 - 172.958i) q^{98} +(-12.5216 + 0.200720i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2688 q - 84 q^{2} - 84 q^{3} - 84 q^{4} - 84 q^{5} - 98 q^{6} - 84 q^{7} - 140 q^{8} - 84 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 2688 q - 84 q^{2} - 84 q^{3} - 84 q^{4} - 84 q^{5} - 98 q^{6} - 84 q^{7} - 140 q^{8} - 84 q^{9} - 84 q^{10} - 140 q^{11} - 140 q^{12} - 84 q^{13} - 28 q^{14} - 84 q^{15} + 112 q^{16} - 84 q^{17} - 210 q^{18} - 98 q^{19} - 84 q^{20} - 84 q^{21} - 84 q^{22} - 84 q^{23} - 308 q^{24} - 84 q^{25} + 70 q^{26} - 126 q^{27} - 910 q^{28} - 294 q^{29} + 70 q^{30} - 84 q^{31} - 84 q^{32} - 98 q^{33} - 84 q^{34} - 84 q^{35} + 2198 q^{36} + 126 q^{37} - 140 q^{38} - 84 q^{39} + 476 q^{40} + 28 q^{41} - 588 q^{42} - 84 q^{43} - 84 q^{44} - 966 q^{45} - 448 q^{46} + 266 q^{47} - 1428 q^{48} + 756 q^{49} - 84 q^{50} - 84 q^{51} + 126 q^{52} - 84 q^{53} - 588 q^{54} - 84 q^{55} - 84 q^{56} - 672 q^{57} + 532 q^{58} + 616 q^{59} - 378 q^{60} - 364 q^{61} - 854 q^{62} + 1036 q^{63} - 1428 q^{64} + 28 q^{65} + 406 q^{66} - 84 q^{67} - 966 q^{68} - 504 q^{69} - 84 q^{70} + 434 q^{71} - 532 q^{72} - 84 q^{73} + 546 q^{74} - 84 q^{75} - 308 q^{76} + 700 q^{77} + 2310 q^{78} - 1400 q^{79} - 84 q^{80} - 700 q^{81} - 84 q^{82} - 98 q^{83} - 588 q^{84} + 1666 q^{85} - 84 q^{86} - 84 q^{87} + 420 q^{88} + 868 q^{89} - 1890 q^{90} + 1260 q^{91} + 924 q^{92} - 98 q^{93} - 420 q^{94} - 1834 q^{95} + 364 q^{96} + 504 q^{97} - 980 q^{98} + 630 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{196}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.77189 0.0604630i −1.88594 0.0302315i −0.937642 0.347601i \(-0.886996\pi\)
−0.948302 + 0.317370i \(0.897200\pi\)
\(3\) −3.32606 + 0.815453i −1.10869 + 0.271818i −0.749867 0.661589i \(-0.769882\pi\)
−0.358821 + 0.933406i \(0.616821\pi\)
\(4\) 10.2255 + 0.327913i 2.55639 + 0.0819783i
\(5\) 0.114711 + 0.789665i 0.0229423 + 0.157933i 0.997929 0.0643321i \(-0.0204917\pi\)
−0.974986 + 0.222265i \(0.928655\pi\)
\(6\) 12.5948 2.87469i 2.09914 0.479115i
\(7\) 1.23384 1.27404i 0.176263 0.182006i −0.624430 0.781081i \(-0.714669\pi\)
0.800693 + 0.599075i \(0.204465\pi\)
\(8\) −23.4777 1.12981i −2.93472 0.141226i
\(9\) 2.41835 1.26165i 0.268705 0.140183i
\(10\) −0.384933 2.98546i −0.0384933 0.298546i
\(11\) −4.10405 2.05808i −0.373096 0.187098i 0.251851 0.967766i \(-0.418961\pi\)
−0.624946 + 0.780668i \(0.714879\pi\)
\(12\) −34.2782 + 7.24778i −2.85652 + 0.603982i
\(13\) −13.2741 5.62338i −1.02109 0.432567i −0.185920 0.982565i \(-0.559527\pi\)
−0.835166 + 0.549997i \(0.814629\pi\)
\(14\) −4.73094 + 4.73094i −0.337924 + 0.337924i
\(15\) −1.02547 2.53294i −0.0683648 0.168862i
\(16\) 47.6479 + 3.05910i 2.97800 + 0.191194i
\(17\) −8.49630 + 5.72642i −0.499782 + 0.336848i −0.782807 0.622264i \(-0.786213\pi\)
0.283025 + 0.959112i \(0.408662\pi\)
\(18\) −9.19802 + 4.61258i −0.511001 + 0.256255i
\(19\) 16.0622 12.8092i 0.845381 0.674169i −0.101822 0.994803i \(-0.532467\pi\)
0.947203 + 0.320634i \(0.103896\pi\)
\(20\) 0.914044 + 8.11237i 0.0457022 + 0.405618i
\(21\) −3.06491 + 5.24368i −0.145948 + 0.249699i
\(22\) 15.3556 + 8.01100i 0.697981 + 0.364136i
\(23\) −6.41916 + 17.4429i −0.279094 + 0.758388i 0.718902 + 0.695111i \(0.244645\pi\)
−0.997996 + 0.0632769i \(0.979845\pi\)
\(24\) 79.0097 15.3871i 3.29207 0.641131i
\(25\) 23.3563 6.93202i 0.934251 0.277281i
\(26\) 49.7285 + 22.0133i 1.91264 + 0.846667i
\(27\) 16.1306 14.1843i 0.597430 0.525345i
\(28\) 13.0345 12.6232i 0.465516 0.450827i
\(29\) 16.3351 + 10.6329i 0.563278 + 0.366653i 0.795448 0.606022i \(-0.207236\pi\)
−0.232170 + 0.972675i \(0.574583\pi\)
\(30\) 3.71482 + 9.61595i 0.123827 + 0.320532i
\(31\) 2.32438 2.82073i 0.0749801 0.0909911i −0.732906 0.680330i \(-0.761836\pi\)
0.807886 + 0.589339i \(0.200612\pi\)
\(32\) −85.8199 6.89260i −2.68187 0.215394i
\(33\) 15.3286 + 3.49865i 0.464503 + 0.106020i
\(34\) 32.3933 21.0857i 0.952745 0.620168i
\(35\) 1.14760 + 0.828173i 0.0327886 + 0.0236621i
\(36\) 25.1426 12.1081i 0.698406 0.336335i
\(37\) 34.6937 2.22741i 0.937668 0.0602003i 0.412274 0.911060i \(-0.364735\pi\)
0.525393 + 0.850859i \(0.323918\pi\)
\(38\) −61.3595 + 47.3437i −1.61472 + 1.24589i
\(39\) 48.7362 + 7.87929i 1.24965 + 0.202033i
\(40\) −1.80099 18.6691i −0.0450247 0.466728i
\(41\) 4.44808 22.8400i 0.108490 0.557072i −0.886965 0.461837i \(-0.847191\pi\)
0.995455 0.0952355i \(-0.0303604\pi\)
\(42\) 11.8776 19.5933i 0.282799 0.466506i
\(43\) 19.8686 + 59.8412i 0.462061 + 1.39165i 0.876423 + 0.481543i \(0.159923\pi\)
−0.414361 + 0.910112i \(0.635995\pi\)
\(44\) −41.2913 22.3908i −0.938438 0.508881i
\(45\) 1.27369 + 1.76496i 0.0283043 + 0.0392213i
\(46\) 25.2670 65.4047i 0.549283 1.42184i
\(47\) 0.915357 + 1.62531i 0.0194757 + 0.0345811i 0.880885 0.473330i \(-0.156948\pi\)
−0.861409 + 0.507911i \(0.830418\pi\)
\(48\) −160.975 + 28.6799i −3.35364 + 0.597497i
\(49\) 1.46971 + 45.8309i 0.0299940 + 0.935324i
\(50\) −88.5164 + 24.7346i −1.77033 + 0.494692i
\(51\) 23.5896 25.9748i 0.462541 0.509309i
\(52\) −133.891 61.8548i −2.57483 1.18952i
\(53\) −37.2082 84.0539i −0.702041 1.58592i −0.806392 0.591382i \(-0.798583\pi\)
0.104351 0.994541i \(-0.466724\pi\)
\(54\) −61.7005 + 52.5264i −1.14260 + 0.972711i
\(55\) 1.15441 3.47691i 0.0209893 0.0632166i
\(56\) −30.4072 + 28.5176i −0.542985 + 0.509242i
\(57\) −42.9788 + 55.7023i −0.754013 + 0.977233i
\(58\) −60.9711 41.0939i −1.05123 0.708516i
\(59\) 88.8840 + 11.4603i 1.50651 + 0.194243i 0.836441 0.548057i \(-0.184632\pi\)
0.670068 + 0.742300i \(0.266265\pi\)
\(60\) −9.65542 26.2369i −0.160924 0.437282i
\(61\) 13.0530 + 21.5323i 0.213984 + 0.352989i 0.943723 0.330737i \(-0.107297\pi\)
−0.729739 + 0.683726i \(0.760359\pi\)
\(62\) −8.93786 + 10.4989i −0.144159 + 0.169337i
\(63\) 1.37646 4.63775i 0.0218486 0.0736151i
\(64\) 133.185 + 12.8482i 2.08101 + 0.200753i
\(65\) 2.91789 11.1272i 0.0448906 0.171187i
\(66\) −57.6063 14.1233i −0.872822 0.213990i
\(67\) 113.303 + 31.6608i 1.69109 + 0.472550i 0.974396 0.224840i \(-0.0721859\pi\)
0.716692 + 0.697390i \(0.245655\pi\)
\(68\) −88.7570 + 55.7697i −1.30525 + 0.820143i
\(69\) 7.12666 63.2508i 0.103285 0.916679i
\(70\) −4.27855 3.19316i −0.0611221 0.0456166i
\(71\) 86.5229 + 27.1959i 1.21863 + 0.383040i 0.840041 0.542523i \(-0.182531\pi\)
0.378591 + 0.925564i \(0.376409\pi\)
\(72\) −58.2027 + 26.8884i −0.808371 + 0.373450i
\(73\) −42.0877 37.0095i −0.576544 0.506980i 0.321485 0.946915i \(-0.395818\pi\)
−0.898030 + 0.439935i \(0.855002\pi\)
\(74\) −130.995 + 6.30385i −1.77021 + 0.0851872i
\(75\) −72.0318 + 42.1023i −0.960424 + 0.561364i
\(76\) 168.445 125.714i 2.21639 1.65413i
\(77\) −7.68582 + 2.68939i −0.0998159 + 0.0349271i
\(78\) −183.351 32.6665i −2.35065 0.418802i
\(79\) 13.7655 94.7607i 0.174247 1.19950i −0.700044 0.714100i \(-0.746836\pi\)
0.874291 0.485402i \(-0.161327\pi\)
\(80\) 3.05010 + 37.9768i 0.0381262 + 0.474710i
\(81\) −56.1297 + 80.4661i −0.692959 + 0.993409i
\(82\) −18.1586 + 85.8808i −0.221447 + 1.04733i
\(83\) 59.4514 + 47.4109i 0.716282 + 0.571216i 0.912368 0.409371i \(-0.134252\pi\)
−0.196086 + 0.980587i \(0.562823\pi\)
\(84\) −33.0598 + 52.6144i −0.393570 + 0.626362i
\(85\) −5.49658 6.05234i −0.0646656 0.0712040i
\(86\) −71.3241 226.915i −0.829350 2.63855i
\(87\) −63.0021 22.0454i −0.724162 0.253395i
\(88\) 94.0285 + 52.9559i 1.06851 + 0.601771i
\(89\) 12.0517 + 14.6252i 0.135413 + 0.164329i 0.835058 0.550162i \(-0.185434\pi\)
−0.699645 + 0.714491i \(0.746659\pi\)
\(90\) −4.69751 6.73424i −0.0521946 0.0748249i
\(91\) −23.5426 + 9.97344i −0.258709 + 0.109598i
\(92\) −71.3591 + 176.258i −0.775643 + 1.91585i
\(93\) −5.43088 + 11.2773i −0.0583966 + 0.121262i
\(94\) −3.35435 6.18583i −0.0356846 0.0658067i
\(95\) 11.9575 + 11.2144i 0.125869 + 0.118047i
\(96\) 291.063 47.0568i 3.03191 0.490175i
\(97\) −36.2431 138.211i −0.373640 1.42485i −0.841121 0.540848i \(-0.818104\pi\)
0.467481 0.884003i \(-0.345162\pi\)
\(98\) −2.77250 172.958i −0.0282908 1.76488i
\(99\) −12.5216 + 0.200720i −0.126481 + 0.00202748i
\(100\) 241.104 63.2248i 2.41104 0.632248i
\(101\) 6.43576 + 39.8074i 0.0637204 + 0.394133i 0.999172 + 0.0406790i \(0.0129521\pi\)
−0.935452 + 0.353454i \(0.885007\pi\)
\(102\) −90.5479 + 96.5477i −0.887724 + 0.946546i
\(103\) 81.4512 44.1681i 0.790788 0.428816i −0.0303544 0.999539i \(-0.509664\pi\)
0.821143 + 0.570723i \(0.193337\pi\)
\(104\) 305.293 + 147.021i 2.93551 + 1.41367i
\(105\) −4.49233 1.81874i −0.0427841 0.0173214i
\(106\) 135.263 + 319.292i 1.27607 + 3.01219i
\(107\) 92.5757 64.5768i 0.865194 0.603522i −0.0534667 0.998570i \(-0.517027\pi\)
0.918661 + 0.395048i \(0.129272\pi\)
\(108\) 169.595 139.753i 1.57033 1.29401i
\(109\) −77.5835 + 137.757i −0.711775 + 1.26383i 0.244013 + 0.969772i \(0.421536\pi\)
−0.955788 + 0.294057i \(0.904995\pi\)
\(110\) −4.56455 + 13.0447i −0.0414959 + 0.118588i
\(111\) −113.577 + 35.6996i −1.02322 + 0.321618i
\(112\) 62.6873 56.9310i 0.559708 0.508312i
\(113\) 51.6277 + 32.4398i 0.456882 + 0.287078i 0.740744 0.671787i \(-0.234473\pi\)
−0.283862 + 0.958865i \(0.591616\pi\)
\(114\) 165.479 207.504i 1.45157 1.82021i
\(115\) −14.5104 3.06808i −0.126178 0.0266790i
\(116\) 163.548 + 114.084i 1.40990 + 0.983483i
\(117\) −39.1962 + 3.14803i −0.335010 + 0.0269062i
\(118\) −334.568 48.6013i −2.83532 0.411875i
\(119\) −3.18737 + 17.8901i −0.0267847 + 0.150337i
\(120\) 21.2140 + 60.6261i 0.176783 + 0.505218i
\(121\) −59.7638 80.0781i −0.493916 0.661802i
\(122\) −47.9326 82.0067i −0.392890 0.672186i
\(123\) 3.83030 + 79.5944i 0.0311406 + 0.647109i
\(124\) 24.6930 28.0812i 0.199137 0.226462i
\(125\) 16.5195 + 35.7582i 0.132156 + 0.286065i
\(126\) −5.47227 + 17.4098i −0.0434307 + 0.138173i
\(127\) −111.803 + 149.806i −0.880341 + 1.17958i 0.102428 + 0.994740i \(0.467339\pi\)
−0.982769 + 0.184836i \(0.940824\pi\)
\(128\) −159.362 17.9557i −1.24501 0.140279i
\(129\) −114.882 182.834i −0.890558 1.41731i
\(130\) −11.6787 + 41.7940i −0.0898364 + 0.321493i
\(131\) 53.9915 220.220i 0.412149 1.68107i −0.280545 0.959841i \(-0.590515\pi\)
0.692694 0.721231i \(-0.256423\pi\)
\(132\) 155.596 + 40.8021i 1.17876 + 0.309107i
\(133\) 3.49878 36.2685i 0.0263066 0.272695i
\(134\) −425.452 126.272i −3.17501 0.942327i
\(135\) 13.0512 + 11.1107i 0.0966758 + 0.0823013i
\(136\) 205.944 124.844i 1.51429 0.917972i
\(137\) −87.7016 + 32.2750i −0.640158 + 0.235584i −0.644736 0.764406i \(-0.723033\pi\)
0.00457791 + 0.999990i \(0.498543\pi\)
\(138\) −30.7053 + 238.144i −0.222502 + 1.72568i
\(139\) −42.9187 + 63.6785i −0.308768 + 0.458119i −0.951356 0.308092i \(-0.900309\pi\)
0.642589 + 0.766211i \(0.277860\pi\)
\(140\) 11.4633 + 8.84483i 0.0818805 + 0.0631774i
\(141\) −4.36990 4.65945i −0.0309922 0.0330458i
\(142\) −324.710 107.811i −2.28669 0.759234i
\(143\) 42.9043 + 50.3979i 0.300030 + 0.352433i
\(144\) 119.089 52.7171i 0.827005 0.366091i
\(145\) −6.52265 + 14.1189i −0.0449838 + 0.0973720i
\(146\) 156.512 + 142.141i 1.07200 + 0.973565i
\(147\) −42.2613 151.238i −0.287492 1.02883i
\(148\) 355.492 11.3999i 2.40197 0.0770267i
\(149\) −14.4818 81.2838i −0.0971935 0.545529i −0.994553 0.104229i \(-0.966762\pi\)
0.897360 0.441300i \(-0.145482\pi\)
\(150\) 274.241 154.450i 1.82828 1.02967i
\(151\) −63.2505 24.4348i −0.418878 0.161820i 0.141723 0.989906i \(-0.454736\pi\)
−0.560601 + 0.828086i \(0.689430\pi\)
\(152\) −391.577 + 282.584i −2.57616 + 1.85910i
\(153\) −13.3223 + 24.5678i −0.0870736 + 0.160574i
\(154\) 29.1527 9.67936i 0.189303 0.0628530i
\(155\) 2.49406 + 1.51191i 0.0160907 + 0.00975429i
\(156\) 495.770 + 96.5512i 3.17801 + 0.618918i
\(157\) 95.6299 9.22530i 0.609107 0.0587599i 0.213136 0.977023i \(-0.431632\pi\)
0.395972 + 0.918263i \(0.370408\pi\)
\(158\) −57.6514 + 356.594i −0.364882 + 2.25693i
\(159\) 192.299 + 249.227i 1.20943 + 1.56747i
\(160\) −4.40167 68.5596i −0.0275105 0.428498i
\(161\) 14.3028 + 29.7001i 0.0888372 + 0.184472i
\(162\) 216.580 300.116i 1.33691 1.85257i
\(163\) 39.8357 + 61.1983i 0.244391 + 0.375449i 0.938988 0.343949i \(-0.111765\pi\)
−0.694598 + 0.719398i \(0.744418\pi\)
\(164\) 52.9736 232.092i 0.323010 1.41520i
\(165\) −1.00440 + 12.5058i −0.00608727 + 0.0757927i
\(166\) −221.378 182.423i −1.33360 1.09894i
\(167\) −36.5431 + 14.1173i −0.218821 + 0.0845344i −0.467285 0.884107i \(-0.654768\pi\)
0.248465 + 0.968641i \(0.420074\pi\)
\(168\) 77.8815 119.647i 0.463580 0.712184i
\(169\) 27.0097 + 27.8898i 0.159821 + 0.165028i
\(170\) 20.3665 + 23.1611i 0.119803 + 0.136242i
\(171\) 22.6833 51.2421i 0.132651 0.299661i
\(172\) 183.545 + 618.423i 1.06712 + 3.59549i
\(173\) −21.2271 108.997i −0.122700 0.630038i −0.990985 0.133973i \(-0.957227\pi\)
0.868285 0.496066i \(-0.165222\pi\)
\(174\) 236.304 + 86.9620i 1.35807 + 0.499782i
\(175\) 19.9862 38.3099i 0.114207 0.218914i
\(176\) −189.254 110.618i −1.07530 0.628512i
\(177\) −304.979 + 34.3629i −1.72305 + 0.194141i
\(178\) −44.5735 55.8935i −0.250413 0.314008i
\(179\) 53.5002 + 106.685i 0.298884 + 0.596008i 0.992204 0.124621i \(-0.0397714\pi\)
−0.693321 + 0.720629i \(0.743853\pi\)
\(180\) 12.4455 + 18.4653i 0.0691414 + 0.102585i
\(181\) −12.1531 + 189.295i −0.0671443 + 1.04583i 0.816403 + 0.577483i \(0.195965\pi\)
−0.883547 + 0.468343i \(0.844851\pi\)
\(182\) 89.4029 36.1952i 0.491225 0.198875i
\(183\) −60.9737 60.9737i −0.333190 0.333190i
\(184\) 170.414 402.268i 0.926165 2.18624i
\(185\) 5.73867 + 27.1409i 0.0310198 + 0.146708i
\(186\) 21.1665 42.2085i 0.113799 0.226927i
\(187\) 46.6547 6.01546i 0.249490 0.0321682i
\(188\) 8.82706 + 16.9198i 0.0469525 + 0.0899991i
\(189\) 1.83118 38.0522i 0.00968877 0.201335i
\(190\) −44.4243 43.0226i −0.233812 0.226435i
\(191\) −81.8202 358.478i −0.428378 1.87685i −0.478475 0.878101i \(-0.658810\pi\)
0.0500968 0.998744i \(-0.484047\pi\)
\(192\) −453.458 + 65.8720i −2.36176 + 0.343083i
\(193\) 11.3585 354.200i 0.0588524 1.83523i −0.366744 0.930322i \(-0.619528\pi\)
0.425597 0.904913i \(-0.360064\pi\)
\(194\) 128.348 + 523.506i 0.661589 + 2.69849i
\(195\) −0.631404 + 39.3891i −0.00323797 + 0.201995i
\(196\) 469.128i 2.39351i
\(197\) −132.451 + 145.828i −0.672338 + 0.740244i
\(198\) 47.2422 0.238597
\(199\) −48.9893 0.785293i −0.246177 0.00394620i −0.107183 0.994239i \(-0.534183\pi\)
−0.138995 + 0.990293i \(0.544387\pi\)
\(200\) −556.184 + 136.360i −2.78092 + 0.681800i
\(201\) −402.671 12.9129i −2.00334 0.0642431i
\(202\) −21.8681 150.538i −0.108258 0.745239i
\(203\) 33.7016 7.69218i 0.166018 0.0378925i
\(204\) 249.734 257.871i 1.22419 1.26407i
\(205\) 18.5462 + 0.892491i 0.0904691 + 0.00435362i
\(206\) −309.895 + 161.672i −1.50435 + 0.784816i
\(207\) 6.48312 + 50.2818i 0.0313194 + 0.242907i
\(208\) −615.282 308.549i −2.95809 1.48341i
\(209\) −92.2827 + 19.5122i −0.441544 + 0.0933600i
\(210\) 16.8346 + 7.13172i 0.0801648 + 0.0339606i
\(211\) −80.1667 + 80.1667i −0.379937 + 0.379937i −0.871079 0.491142i \(-0.836580\pi\)
0.491142 + 0.871079i \(0.336580\pi\)
\(212\) −352.911 871.698i −1.66468 4.11178i
\(213\) −309.958 19.8999i −1.45520 0.0934269i
\(214\) −353.090 + 237.979i −1.64995 + 1.11205i
\(215\) −44.9753 + 22.5540i −0.209188 + 0.104902i
\(216\) −394.736 + 314.791i −1.82748 + 1.45737i
\(217\) −0.725803 6.44168i −0.00334472 0.0296852i
\(218\) 300.965 514.914i 1.38058 2.36199i
\(219\) 170.166 + 88.7755i 0.777014 + 0.405368i
\(220\) 12.9446 35.1748i 0.0588392 0.159885i
\(221\) 144.983 28.2354i 0.656031 0.127762i
\(222\) 430.559 127.788i 1.93945 0.575620i
\(223\) 205.654 + 91.0371i 0.922217 + 0.408238i 0.810658 0.585520i \(-0.199110\pi\)
0.111559 + 0.993758i \(0.464416\pi\)
\(224\) −114.669 + 100.834i −0.511917 + 0.450150i
\(225\) 47.7378 46.2315i 0.212168 0.205473i
\(226\) −192.773 125.481i −0.852976 0.555226i
\(227\) 99.2569 + 256.930i 0.437255 + 1.13185i 0.960157 + 0.279460i \(0.0901553\pi\)
−0.522902 + 0.852393i \(0.675151\pi\)
\(228\) −457.747 + 555.492i −2.00766 + 2.43637i
\(229\) 244.727 + 19.6552i 1.06868 + 0.0858304i 0.601921 0.798556i \(-0.294402\pi\)
0.466756 + 0.884386i \(0.345423\pi\)
\(230\) 54.5462 + 12.4498i 0.237157 + 0.0541296i
\(231\) 23.3705 15.2125i 0.101171 0.0658550i
\(232\) −371.497 268.093i −1.60128 1.15557i
\(233\) 100.898 48.5898i 0.433038 0.208540i −0.204650 0.978835i \(-0.565605\pi\)
0.637687 + 0.770295i \(0.279891\pi\)
\(234\) 148.034 9.50410i 0.632624 0.0406158i
\(235\) −1.17845 + 0.909267i −0.00501467 + 0.00386922i
\(236\) 905.129 + 146.334i 3.83529 + 0.620061i
\(237\) 31.4879 + 326.405i 0.132860 + 1.37724i
\(238\) 13.1041 67.2868i 0.0550593 0.282718i
\(239\) 190.983 315.046i 0.799091 1.31818i −0.145310 0.989386i \(-0.546418\pi\)
0.944400 0.328797i \(-0.106643\pi\)
\(240\) −41.1131 123.826i −0.171305 0.515942i
\(241\) −102.706 55.6936i −0.426165 0.231094i 0.249391 0.968403i \(-0.419770\pi\)
−0.675556 + 0.737309i \(0.736096\pi\)
\(242\) 220.581 + 305.659i 0.911491 + 1.26305i
\(243\) 51.4093 133.075i 0.211561 0.547634i
\(244\) 126.413 + 224.460i 0.518088 + 0.919917i
\(245\) −36.0225 + 6.41790i −0.147030 + 0.0261955i
\(246\) −9.63493 300.453i −0.0391664 1.22135i
\(247\) −285.243 + 79.7071i −1.15483 + 0.322701i
\(248\) −57.7581 + 63.5981i −0.232896 + 0.256444i
\(249\) −236.401 109.212i −0.949400 0.438602i
\(250\) −60.1477 135.875i −0.240591 0.543498i
\(251\) −172.710 + 147.030i −0.688088 + 0.585778i −0.922331 0.386400i \(-0.873718\pi\)
0.234243 + 0.972178i \(0.424739\pi\)
\(252\) 15.5958 46.9721i 0.0618882 0.186397i
\(253\) 62.2435 58.3755i 0.246022 0.230733i
\(254\) 430.767 558.292i 1.69593 2.19800i
\(255\) 23.2174 + 15.6483i 0.0910485 + 0.0613658i
\(256\) 69.1904 + 8.92112i 0.270275 + 0.0348481i
\(257\) −149.773 406.982i −0.582775 1.58359i −0.795159 0.606401i \(-0.792613\pi\)
0.212385 0.977186i \(-0.431877\pi\)
\(258\) 422.267 + 696.574i 1.63670 + 2.69990i
\(259\) 39.9687 46.9495i 0.154319 0.181272i
\(260\) 33.4857 112.825i 0.128791 0.433941i
\(261\) 52.9189 + 5.10502i 0.202754 + 0.0195595i
\(262\) −216.965 + 827.382i −0.828112 + 3.15795i
\(263\) 483.744 + 118.600i 1.83933 + 0.450949i 0.996226 0.0868013i \(-0.0276645\pi\)
0.843104 + 0.537750i \(0.180726\pi\)
\(264\) −355.928 99.4589i −1.34821 0.376738i
\(265\) 62.1062 39.0239i 0.234363 0.147260i
\(266\) −15.3899 + 136.589i −0.0578567 + 0.513493i
\(267\) −52.0111 38.8169i −0.194798 0.145382i
\(268\) 1148.20 + 360.903i 4.28433 + 1.34665i
\(269\) 400.085 184.831i 1.48730 0.687102i 0.503114 0.864220i \(-0.332188\pi\)
0.984190 + 0.177118i \(0.0566773\pi\)
\(270\) −48.5560 42.6973i −0.179837 0.158138i
\(271\) −132.152 + 6.35953i −0.487647 + 0.0234669i −0.290437 0.956894i \(-0.593801\pi\)
−0.197211 + 0.980361i \(0.563188\pi\)
\(272\) −422.349 + 246.861i −1.55275 + 0.907578i
\(273\) 70.1712 52.3701i 0.257037 0.191832i
\(274\) 332.752 116.435i 1.21442 0.424945i
\(275\) −110.122 19.6198i −0.400444 0.0713446i
\(276\) 93.6147 644.437i 0.339184 2.33492i
\(277\) 6.41925 + 79.9262i 0.0231742 + 0.288542i 0.997882 + 0.0650573i \(0.0207230\pi\)
−0.974707 + 0.223485i \(0.928257\pi\)
\(278\) 165.735 237.593i 0.596168 0.854652i
\(279\) 2.06240 9.75405i 0.00739210 0.0349608i
\(280\) −26.0074 20.7402i −0.0928835 0.0740721i
\(281\) −127.665 + 203.177i −0.454323 + 0.723051i −0.992825 0.119573i \(-0.961847\pi\)
0.538502 + 0.842624i \(0.318990\pi\)
\(282\) 16.2011 + 17.8392i 0.0574505 + 0.0632594i
\(283\) 1.20460 + 3.83239i 0.00425652 + 0.0135420i 0.956089 0.293078i \(-0.0946795\pi\)
−0.951832 + 0.306620i \(0.900802\pi\)
\(284\) 875.825 + 306.465i 3.08389 + 1.07910i
\(285\) −48.9163 27.5491i −0.171636 0.0966636i
\(286\) −158.783 192.689i −0.555186 0.673739i
\(287\) −23.6108 33.8479i −0.0822677 0.117937i
\(288\) −216.238 + 91.6060i −0.750828 + 0.318076i
\(289\) −69.0570 + 170.572i −0.238952 + 0.590215i
\(290\) 25.4564 52.8607i 0.0877806 0.182278i
\(291\) 233.251 + 430.143i 0.801550 + 1.47815i
\(292\) −418.234 392.243i −1.43231 1.34330i
\(293\) 468.953 75.8167i 1.60052 0.258760i 0.706811 0.707402i \(-0.250133\pi\)
0.893712 + 0.448642i \(0.148092\pi\)
\(294\) 150.260 + 573.008i 0.511090 + 1.94901i
\(295\) 1.14619 + 71.5033i 0.00388539 + 0.242384i
\(296\) −817.046 + 13.0972i −2.76029 + 0.0442472i
\(297\) −95.3934 + 25.0151i −0.321190 + 0.0842259i
\(298\) 49.7092 + 307.469i 0.166809 + 1.03178i
\(299\) 183.297 195.442i 0.613033 0.653653i
\(300\) −750.370 + 406.899i −2.50123 + 1.35633i
\(301\) 100.755 + 48.5210i 0.334734 + 0.161199i
\(302\) 237.097 + 95.9898i 0.785088 + 0.317847i
\(303\) −53.8668 127.154i −0.177778 0.419650i
\(304\) 804.517 561.196i 2.64644 1.84604i
\(305\) −15.5060 + 12.7775i −0.0508393 + 0.0418935i
\(306\) 51.7355 91.8617i 0.169070 0.300202i
\(307\) 146.346 418.232i 0.476696 1.36232i −0.415056 0.909796i \(-0.636238\pi\)
0.891752 0.452524i \(-0.149476\pi\)
\(308\) −79.4736 + 24.9801i −0.258031 + 0.0811044i
\(309\) −234.895 + 213.325i −0.760178 + 0.690373i
\(310\) −9.31590 5.85357i −0.0300513 0.0188825i
\(311\) 152.493 191.220i 0.490330 0.614854i −0.473688 0.880693i \(-0.657078\pi\)
0.964017 + 0.265839i \(0.0856489\pi\)
\(312\) −1135.31 240.050i −3.63882 0.769393i
\(313\) 243.281 + 169.703i 0.777257 + 0.542181i 0.892441 0.451163i \(-0.148991\pi\)
−0.115185 + 0.993344i \(0.536746\pi\)
\(314\) −361.263 + 29.0147i −1.15052 + 0.0924036i
\(315\) 3.82016 + 0.554940i 0.0121275 + 0.00176171i
\(316\) 171.833 964.465i 0.543775 3.05210i
\(317\) 127.916 + 365.563i 0.403521 + 1.15320i 0.949056 + 0.315108i \(0.102041\pi\)
−0.545535 + 0.838088i \(0.683673\pi\)
\(318\) −710.260 951.684i −2.23352 2.99272i
\(319\) −45.1564 77.2570i −0.141556 0.242185i
\(320\) 5.13205 + 106.645i 0.0160377 + 0.333266i
\(321\) −255.254 + 290.278i −0.795182 + 0.904292i
\(322\) −52.1528 112.890i −0.161965 0.350590i
\(323\) −63.1186 + 200.810i −0.195414 + 0.621703i
\(324\) −600.342 + 804.404i −1.85291 + 2.48273i
\(325\) −349.016 39.3246i −1.07389 0.120999i
\(326\) −146.555 233.242i −0.449556 0.715465i
\(327\) 145.713 521.455i 0.445606 1.59466i
\(328\) −130.236 + 531.205i −0.397060 + 1.61953i
\(329\) 3.20012 + 0.839169i 0.00972679 + 0.00255067i
\(330\) 4.54462 47.1098i 0.0137716 0.142757i
\(331\) −162.435 48.2098i −0.490740 0.145649i 0.0296801 0.999559i \(-0.490551\pi\)
−0.520420 + 0.853910i \(0.674225\pi\)
\(332\) 592.376 + 504.297i 1.78427 + 1.51897i
\(333\) 81.0912 49.1580i 0.243517 0.147622i
\(334\) 138.690 51.0392i 0.415239 0.152812i
\(335\) −12.0043 + 93.1032i −0.0358338 + 0.277920i
\(336\) −162.078 + 240.475i −0.482374 + 0.715698i
\(337\) 356.329 + 274.936i 1.05736 + 0.815834i 0.983404 0.181428i \(-0.0580718\pi\)
0.0739509 + 0.997262i \(0.476439\pi\)
\(338\) −100.191 106.830i −0.296424 0.316065i
\(339\) −198.170 65.7970i −0.584573 0.194092i
\(340\) −54.2208 63.6909i −0.159473 0.187326i
\(341\) −15.3447 + 6.79263i −0.0449990 + 0.0199197i
\(342\) −88.6573 + 191.908i −0.259232 + 0.561134i
\(343\) 124.538 + 113.102i 0.363083 + 0.329743i
\(344\) −398.861 1427.38i −1.15948 4.14937i
\(345\) 50.7645 1.62792i 0.147143 0.00471860i
\(346\) 73.4760 + 412.407i 0.212358 + 1.19193i
\(347\) −54.0272 + 30.4276i −0.155698 + 0.0876875i −0.566604 0.823990i \(-0.691743\pi\)
0.410906 + 0.911678i \(0.365212\pi\)
\(348\) −637.002 246.085i −1.83046 0.707141i
\(349\) −130.495 + 94.1727i −0.373912 + 0.269836i −0.756379 0.654133i \(-0.773034\pi\)
0.382467 + 0.923969i \(0.375074\pi\)
\(350\) −77.7022 + 143.292i −0.222006 + 0.409406i
\(351\) −293.884 + 97.5761i −0.837275 + 0.277994i
\(352\) 338.024 + 204.912i 0.960295 + 0.582136i
\(353\) 369.853 + 72.0288i 1.04774 + 0.204048i 0.685527 0.728047i \(-0.259572\pi\)
0.362214 + 0.932095i \(0.382021\pi\)
\(354\) 1152.43 111.173i 3.25544 0.314048i
\(355\) −11.5505 + 71.4438i −0.0325365 + 0.201250i
\(356\) 118.440 + 153.503i 0.332696 + 0.431188i
\(357\) −3.98714 62.1029i −0.0111684 0.173958i
\(358\) −195.346 405.641i −0.545660 1.13307i
\(359\) −172.749 + 239.379i −0.481196 + 0.666794i −0.979787 0.200044i \(-0.935892\pi\)
0.498591 + 0.866837i \(0.333851\pi\)
\(360\) −27.9093 42.8763i −0.0775260 0.119101i
\(361\) 13.5897 59.5404i 0.0376446 0.164932i
\(362\) 57.2855 713.263i 0.158247 1.97034i
\(363\) 264.078 + 217.610i 0.727488 + 0.599478i
\(364\) −244.006 + 94.2639i −0.670346 + 0.258967i
\(365\) 24.3972 37.4806i 0.0668416 0.102687i
\(366\) 226.299 + 233.673i 0.618305 + 0.638450i
\(367\) 32.9315 + 37.4502i 0.0897316 + 0.102044i 0.794089 0.607802i \(-0.207948\pi\)
−0.704357 + 0.709846i \(0.748765\pi\)
\(368\) −359.219 + 811.482i −0.976139 + 2.20512i
\(369\) −18.0590 60.8469i −0.0489405 0.164897i
\(370\) −20.0046 102.719i −0.0540665 0.277620i
\(371\) −152.997 56.3043i −0.412391 0.151764i
\(372\) −59.2317 + 113.536i −0.159225 + 0.305204i
\(373\) −305.876 178.783i −0.820042 0.479311i 0.0340583 0.999420i \(-0.489157\pi\)
−0.854100 + 0.520108i \(0.825892\pi\)
\(374\) −176.340 + 19.8688i −0.471497 + 0.0531250i
\(375\) −84.1040 105.463i −0.224277 0.281235i
\(376\) −19.6542 39.1927i −0.0522718 0.104236i
\(377\) −157.041 233.001i −0.416553 0.618040i
\(378\) −9.20775 + 143.418i −0.0243591 + 0.379413i
\(379\) 101.281 41.0040i 0.267232 0.108190i −0.237732 0.971331i \(-0.576404\pi\)
0.504963 + 0.863141i \(0.331506\pi\)
\(380\) 118.595 + 118.595i 0.312091 + 0.312091i
\(381\) 249.705 589.436i 0.655394 1.54707i
\(382\) 286.942 + 1357.08i 0.751157 + 3.55258i
\(383\) 46.8197 93.3639i 0.122245 0.243770i −0.824428 0.565967i \(-0.808503\pi\)
0.946673 + 0.322197i \(0.104421\pi\)
\(384\) 544.689 70.2299i 1.41846 0.182890i
\(385\) −3.00537 5.76072i −0.00780614 0.0149629i
\(386\) −64.2591 + 1335.32i −0.166474 + 3.45937i
\(387\) 123.548 + 119.649i 0.319245 + 0.309172i
\(388\) −325.284 1425.16i −0.838361 3.67310i
\(389\) −424.004 + 61.5933i −1.08999 + 0.158338i −0.664986 0.746856i \(-0.731562\pi\)
−0.424999 + 0.905194i \(0.639726\pi\)
\(390\) 4.76317 148.533i 0.0122133 0.380854i
\(391\) −45.3465 184.959i −0.115976 0.473041i
\(392\) 17.2749 1077.67i 0.0440686 2.74915i
\(393\) 776.495i 1.97581i
\(394\) 508.406 542.039i 1.29037 1.37573i
\(395\) 76.4082 0.193439
\(396\) −128.106 2.05353i −0.323500 0.00518568i
\(397\) 47.0385 11.5324i 0.118485 0.0290490i −0.178433 0.983952i \(-0.557103\pi\)
0.296917 + 0.954903i \(0.404041\pi\)
\(398\) 184.735 + 5.92408i 0.464157 + 0.0148846i
\(399\) 17.9381 + 123.484i 0.0449576 + 0.309485i
\(400\) 1134.08 258.847i 2.83521 0.647118i
\(401\) 162.211 167.496i 0.404517 0.417697i −0.485061 0.874480i \(-0.661203\pi\)
0.889578 + 0.456784i \(0.150999\pi\)
\(402\) 1518.05 + 73.0526i 3.77624 + 0.181723i
\(403\) −46.7161 + 24.3718i −0.115921 + 0.0604759i
\(404\) 52.7557 + 409.163i 0.130583 + 1.01278i
\(405\) −69.9800 35.0933i −0.172790 0.0866501i
\(406\) −127.584 + 26.9763i −0.314246 + 0.0664442i
\(407\) −146.969 62.2611i −0.361103 0.152976i
\(408\) −583.177 + 583.177i −1.42936 + 1.42936i
\(409\) −80.1757 198.036i −0.196029 0.484194i 0.796728 0.604338i \(-0.206562\pi\)
−0.992757 + 0.120144i \(0.961664\pi\)
\(410\) −69.9001 4.48773i −0.170488 0.0109457i
\(411\) 265.383 178.865i 0.645700 0.435195i
\(412\) 847.366 424.933i 2.05671 1.03139i
\(413\) 124.270 99.1017i 0.300895 0.239956i
\(414\) −21.4134 190.049i −0.0517232 0.459056i
\(415\) −30.6190 + 52.3853i −0.0737807 + 0.126230i
\(416\) 1100.42 + 574.091i 2.64525 + 1.38003i
\(417\) 90.8236 246.797i 0.217802 0.591839i
\(418\) 349.260 68.0183i 0.835550 0.162723i
\(419\) −103.461 + 30.7066i −0.246923 + 0.0732855i −0.405620 0.914042i \(-0.632944\pi\)
0.158697 + 0.987327i \(0.449271\pi\)
\(420\) −45.3401 20.0707i −0.107953 0.0477875i
\(421\) 34.2445 30.1126i 0.0813408 0.0715264i −0.618710 0.785620i \(-0.712344\pi\)
0.700051 + 0.714093i \(0.253161\pi\)
\(422\) 307.227 297.533i 0.728026 0.705054i
\(423\) 4.26423 + 2.77570i 0.0100809 + 0.00656195i
\(424\) 778.598 + 2015.43i 1.83632 + 4.75338i
\(425\) −158.746 + 192.645i −0.373521 + 0.453281i
\(426\) 1167.92 + 93.8013i 2.74160 + 0.220191i
\(427\) 43.5384 + 9.93735i 0.101963 + 0.0232725i
\(428\) 967.813 629.976i 2.26124 1.47191i
\(429\) −183.800 132.640i −0.428437 0.309184i
\(430\) 171.006 82.3519i 0.397687 0.191516i
\(431\) −764.743 + 49.0981i −1.77435 + 0.113917i −0.916511 0.400009i \(-0.869007\pi\)
−0.857835 + 0.513925i \(0.828191\pi\)
\(432\) 811.981 626.509i 1.87959 1.45025i
\(433\) −497.544 80.4391i −1.14906 0.185772i −0.444746 0.895657i \(-0.646706\pi\)
−0.704317 + 0.709885i \(0.748747\pi\)
\(434\) 2.34817 + 24.3412i 0.00541052 + 0.0560857i
\(435\) 10.1814 52.2794i 0.0234055 0.120183i
\(436\) −838.505 + 1383.20i −1.92318 + 3.17248i
\(437\) 120.324 + 362.397i 0.275341 + 0.829284i
\(438\) −636.480 345.140i −1.45315 0.787991i
\(439\) −358.576 496.880i −0.816802 1.13184i −0.989165 0.146811i \(-0.953099\pi\)
0.172362 0.985034i \(-0.444860\pi\)
\(440\) −31.0313 + 80.3257i −0.0705256 + 0.182558i
\(441\) 61.3769 + 108.981i 0.139177 + 0.247122i
\(442\) −548.566 + 97.7347i −1.24110 + 0.221119i
\(443\) −11.8886 370.730i −0.0268366 0.836863i −0.921101 0.389324i \(-0.872709\pi\)
0.894264 0.447539i \(-0.147699\pi\)
\(444\) −1173.09 + 327.804i −2.64210 + 0.738297i
\(445\) −10.1666 + 11.1945i −0.0228462 + 0.0251562i
\(446\) −770.201 355.816i −1.72691 0.797794i
\(447\) 114.451 + 258.546i 0.256042 + 0.578402i
\(448\) 180.698 153.830i 0.403343 0.343371i
\(449\) −97.3648 + 293.247i −0.216848 + 0.653112i 0.782681 + 0.622423i \(0.213852\pi\)
−0.999529 + 0.0306886i \(0.990230\pi\)
\(450\) −182.857 + 171.494i −0.406349 + 0.381097i
\(451\) −65.2617 + 84.5819i −0.144704 + 0.187543i
\(452\) 517.284 + 348.644i 1.14443 + 0.771337i
\(453\) 230.301 + 29.6940i 0.508390 + 0.0655497i
\(454\) −358.851 975.114i −0.790421 2.14783i
\(455\) −10.5763 17.4467i −0.0232446 0.0383443i
\(456\) 1071.98 1259.20i 2.35083 2.76141i
\(457\) 81.3673 274.153i 0.178047 0.599898i −0.821512 0.570191i \(-0.806869\pi\)
0.999559 0.0297069i \(-0.00945739\pi\)
\(458\) −921.894 88.9340i −2.01287 0.194179i
\(459\) −55.8250 + 212.885i −0.121623 + 0.463802i
\(460\) −147.371 36.1310i −0.320371 0.0785456i
\(461\) −717.675 200.544i −1.55678 0.435019i −0.619903 0.784679i \(-0.712828\pi\)
−0.936877 + 0.349659i \(0.886297\pi\)
\(462\) −89.0706 + 55.9668i −0.192794 + 0.121140i
\(463\) −90.2082 + 800.620i −0.194834 + 1.72920i 0.392409 + 0.919791i \(0.371642\pi\)
−0.587244 + 0.809410i \(0.699787\pi\)
\(464\) 745.804 + 556.608i 1.60734 + 1.19959i
\(465\) −9.52830 2.99494i −0.0204910 0.00644072i
\(466\) −383.513 + 177.175i −0.822990 + 0.380203i
\(467\) −237.524 208.865i −0.508616 0.447248i 0.367024 0.930211i \(-0.380377\pi\)
−0.875640 + 0.482964i \(0.839560\pi\)
\(468\) −401.835 + 19.3374i −0.858621 + 0.0413192i
\(469\) 180.135 105.288i 0.384083 0.224495i
\(470\) 4.49995 3.35840i 0.00957437 0.00714553i
\(471\) −310.548 + 108.666i −0.659338 + 0.230712i
\(472\) −2073.85 369.485i −4.39374 0.782806i
\(473\) 41.6161 286.483i 0.0879834 0.605671i
\(474\) −99.0335 1233.07i −0.208931 2.60141i
\(475\) 286.361 410.519i 0.602864 0.864251i
\(476\) −38.4590 + 181.891i −0.0807963 + 0.382124i
\(477\) −196.029 156.328i −0.410962 0.327731i
\(478\) −739.414 + 1176.77i −1.54689 + 2.46186i
\(479\) 323.017 + 355.678i 0.674358 + 0.742543i 0.977623 0.210363i \(-0.0674646\pi\)
−0.303265 + 0.952906i \(0.598077\pi\)
\(480\) 70.5474 + 224.444i 0.146974 + 0.467592i
\(481\) −473.054 165.529i −0.983481 0.344135i
\(482\) 384.027 + 216.280i 0.796737 + 0.448714i
\(483\) −71.7910 87.1210i −0.148636 0.180375i
\(484\) −584.859 838.439i −1.20839 1.73231i
\(485\) 104.983 44.4742i 0.216459 0.0916994i
\(486\) −201.956 + 498.836i −0.415548 + 1.02641i
\(487\) −175.694 + 364.833i −0.360768 + 0.749143i −0.999799 0.0200381i \(-0.993621\pi\)
0.639031 + 0.769181i \(0.279336\pi\)
\(488\) −282.128 520.277i −0.578130 1.06614i
\(489\) −182.400 171.065i −0.373007 0.349827i
\(490\) 136.261 22.0296i 0.278083 0.0449583i
\(491\) 101.025 + 385.254i 0.205754 + 0.784631i 0.987042 + 0.160460i \(0.0512977\pi\)
−0.781288 + 0.624171i \(0.785437\pi\)
\(492\) 13.0668 + 815.152i 0.0265585 + 1.65681i
\(493\) −199.676 + 3.20079i −0.405023 + 0.00649248i
\(494\) 1080.73 283.399i 2.18770 0.573683i
\(495\) −1.59487 9.86485i −0.00322196 0.0199290i
\(496\) 119.381 127.291i 0.240687 0.256635i
\(497\) 141.404 76.6783i 0.284515 0.154282i
\(498\) 885.073 + 426.229i 1.77726 + 0.855881i
\(499\) 361.420 + 146.323i 0.724288 + 0.293232i 0.707585 0.706629i \(-0.249785\pi\)
0.0167037 + 0.999860i \(0.494683\pi\)
\(500\) 157.195 + 371.063i 0.314390 + 0.742127i
\(501\) 110.033 76.7540i 0.219626 0.153202i
\(502\) 660.333 544.139i 1.31540 1.08394i
\(503\) 421.773 748.901i 0.838515 1.48887i −0.0335277 0.999438i \(-0.510674\pi\)
0.872043 0.489430i \(-0.162795\pi\)
\(504\) −37.5559 + 107.329i −0.0745157 + 0.212954i
\(505\) −30.6963 + 9.64846i −0.0607847 + 0.0191059i
\(506\) −238.305 + 216.423i −0.470959 + 0.427713i
\(507\) −112.579 70.7380i −0.222049 0.139523i
\(508\) −1192.37 + 1495.19i −2.34719 + 2.94328i
\(509\) 641.576 + 135.655i 1.26046 + 0.266512i 0.788461 0.615085i \(-0.210878\pi\)
0.472003 + 0.881597i \(0.343531\pi\)
\(510\) −86.6272 60.4274i −0.169857 0.118485i
\(511\) −99.0812 + 7.95767i −0.193897 + 0.0155727i
\(512\) 374.378 + 54.3843i 0.731206 + 0.106219i
\(513\) 77.4037 434.453i 0.150884 0.846886i
\(514\) 540.320 + 1544.15i 1.05121 + 3.00417i
\(515\) 44.2213 + 59.2526i 0.0858667 + 0.115054i
\(516\) −1114.78 1907.24i −2.16042 3.69621i
\(517\) −0.411653 8.55423i −0.000796234 0.0165459i
\(518\) −153.596 + 174.672i −0.296517 + 0.337204i
\(519\) 159.484 + 345.220i 0.307291 + 0.665164i
\(520\) −81.0770 + 257.944i −0.155917 + 0.496046i
\(521\) −370.522 + 496.466i −0.711175 + 0.952910i −0.999990 0.00447494i \(-0.998576\pi\)
0.288815 + 0.957385i \(0.406739\pi\)
\(522\) −199.296 22.4552i −0.381792 0.0430176i
\(523\) 1.45151 + 2.31006i 0.00277535 + 0.00441694i 0.848109 0.529822i \(-0.177741\pi\)
−0.845334 + 0.534239i \(0.820598\pi\)
\(524\) 624.306 2234.17i 1.19142 4.26368i
\(525\) −35.2356 + 143.719i −0.0671155 + 0.273750i
\(526\) −1817.46 476.593i −3.45524 0.906071i
\(527\) −3.59598 + 37.2761i −0.00682350 + 0.0707327i
\(528\) 719.674 + 213.595i 1.36302 + 0.404537i
\(529\) 139.755 + 118.975i 0.264187 + 0.224905i
\(530\) −236.617 + 143.439i −0.446448 + 0.270639i
\(531\) 229.412 84.4256i 0.432037 0.158994i
\(532\) 47.6698 369.717i 0.0896049 0.694958i
\(533\) −187.482 + 278.167i −0.351749 + 0.521890i
\(534\) 193.833 + 149.558i 0.362983 + 0.280070i
\(535\) 61.6136 + 65.6961i 0.115166 + 0.122797i
\(536\) −2624.32 871.335i −4.89612 1.62563i
\(537\) −264.942 311.216i −0.493374 0.579546i
\(538\) −1520.25 + 672.970i −2.82574 + 1.25087i
\(539\) 88.2920 191.117i 0.163807 0.354577i
\(540\) 129.813 + 117.892i 0.240394 + 0.218319i
\(541\) 135.365 + 484.423i 0.250212 + 0.895421i 0.977823 + 0.209431i \(0.0671612\pi\)
−0.727611 + 0.685990i \(0.759369\pi\)
\(542\) 498.848 15.9971i 0.920385 0.0295149i
\(543\) −113.939 639.516i −0.209832 1.17775i
\(544\) 768.621 432.880i 1.41291 0.795734i
\(545\) −117.682 45.4626i −0.215930 0.0834177i
\(546\) −267.844 + 193.292i −0.490558 + 0.354014i
\(547\) 203.428 375.145i 0.371897 0.685823i −0.623483 0.781837i \(-0.714283\pi\)
0.995380 + 0.0960142i \(0.0306094\pi\)
\(548\) −907.380 + 301.271i −1.65580 + 0.549764i
\(549\) 58.7330 + 35.6043i 0.106982 + 0.0648530i
\(550\) 414.182 + 80.6619i 0.753058 + 0.146658i
\(551\) 398.577 38.4503i 0.723371 0.0697827i
\(552\) −238.779 + 1476.93i −0.432571 + 2.67560i
\(553\) −103.745 134.457i −0.187603 0.243142i
\(554\) −19.3801 301.861i −0.0349822 0.544875i
\(555\) −41.2193 85.5928i −0.0742690 0.154221i
\(556\) −459.748 + 637.074i −0.826885 + 1.14582i
\(557\) −81.4192 125.082i −0.146174 0.224563i 0.757445 0.652898i \(-0.226447\pi\)
−0.903620 + 0.428335i \(0.859100\pi\)
\(558\) −8.36889 + 36.6665i −0.0149980 + 0.0657106i
\(559\) 72.7706 906.068i 0.130180 1.62087i
\(560\) 52.1473 + 42.9714i 0.0931203 + 0.0767346i
\(561\) −150.271 + 58.0525i −0.267863 + 0.103480i
\(562\) 493.822 758.643i 0.878687 1.34990i
\(563\) −310.022 320.123i −0.550660 0.568602i 0.384366 0.923181i \(-0.374420\pi\)
−0.935026 + 0.354579i \(0.884624\pi\)
\(564\) −43.1567 49.0784i −0.0765190 0.0870184i
\(565\) −19.6943 + 44.4898i −0.0348572 + 0.0787430i
\(566\) −4.31188 14.5282i −0.00761817 0.0256681i
\(567\) 33.2621 + 170.794i 0.0586633 + 0.301224i
\(568\) −2000.63 736.252i −3.52224 1.29622i
\(569\) 152.452 292.221i 0.267929 0.513569i −0.714634 0.699498i \(-0.753407\pi\)
0.982563 + 0.185929i \(0.0595294\pi\)
\(570\) 182.841 + 106.870i 0.320774 + 0.187491i
\(571\) 314.708 35.4591i 0.551153 0.0621000i 0.168003 0.985786i \(-0.446268\pi\)
0.383149 + 0.923686i \(0.374839\pi\)
\(572\) 422.194 + 529.414i 0.738101 + 0.925550i
\(573\) 564.461 + 1125.60i 0.985097 + 1.96440i
\(574\) 87.0108 + 129.098i 0.151587 + 0.224909i
\(575\) −29.0129 + 451.900i −0.0504573 + 0.785913i
\(576\) 338.297 136.961i 0.587321 0.237780i
\(577\) 18.7020 + 18.7020i 0.0324125 + 0.0324125i 0.723127 0.690715i \(-0.242704\pi\)
−0.690715 + 0.723127i \(0.742704\pi\)
\(578\) 270.789 639.204i 0.468492 1.10589i
\(579\) 251.054 + 1187.36i 0.433600 + 2.05070i
\(580\) −71.3274 + 142.235i −0.122978 + 0.245233i
\(581\) 133.757 17.2461i 0.230219 0.0296834i
\(582\) −853.789 1636.55i −1.46699 2.81195i
\(583\) −20.2856 + 421.539i −0.0347952 + 0.723051i
\(584\) 946.310 + 916.450i 1.62039 + 1.56926i
\(585\) −6.98214 30.5907i −0.0119353 0.0522919i
\(586\) −1773.42 + 257.618i −3.02632 + 0.439621i
\(587\) −21.5869 + 673.159i −0.0367749 + 1.14678i 0.800269 + 0.599642i \(0.204690\pi\)
−0.837044 + 0.547136i \(0.815718\pi\)
\(588\) −382.551 1560.35i −0.650598 2.65365i
\(589\) 1.20354 75.0807i 0.00204336 0.127471i
\(590\) 269.772i 0.457240i
\(591\) 321.624 593.041i 0.544202 1.00345i
\(592\) 1659.90 2.80388
\(593\) 450.789 + 7.22610i 0.760183 + 0.0121857i 0.394916 0.918717i \(-0.370774\pi\)
0.365267 + 0.930903i \(0.380978\pi\)
\(594\) 361.326 88.5863i 0.608292 0.149135i
\(595\) −14.4928 0.464757i −0.0243577 0.000781104i
\(596\) −121.431 835.920i −0.203743 1.40255i
\(597\) 163.582 37.3365i 0.274006 0.0625402i
\(598\) −703.192 + 726.104i −1.17591 + 1.21422i
\(599\) −128.020 6.16068i −0.213723 0.0102849i −0.0590705 0.998254i \(-0.518814\pi\)
−0.154653 + 0.987969i \(0.549426\pi\)
\(600\) 1738.71 907.084i 2.89785 1.51181i
\(601\) 63.3427 + 491.273i 0.105396 + 0.817427i 0.956357 + 0.292199i \(0.0943871\pi\)
−0.850962 + 0.525227i \(0.823980\pi\)
\(602\) −377.102 189.108i −0.626416 0.314132i
\(603\) 313.951 66.3817i 0.520648 0.110086i
\(604\) −638.759 270.600i −1.05755 0.448013i
\(605\) 56.3793 56.3793i 0.0931889 0.0931889i
\(606\) 195.492 + 482.868i 0.322593 + 0.796812i
\(607\) 34.5038 + 2.21522i 0.0568432 + 0.00364945i 0.0924658 0.995716i \(-0.470525\pi\)
−0.0356226 + 0.999365i \(0.511341\pi\)
\(608\) −1466.75 + 988.575i −2.41242 + 1.62595i
\(609\) −105.821 + 53.0668i −0.173762 + 0.0871376i
\(610\) 59.2594 47.2578i 0.0971466 0.0774718i
\(611\) −3.01084 26.7220i −0.00492773 0.0437348i
\(612\) −144.283 + 246.851i −0.235757 + 0.403351i
\(613\) 677.535 + 353.470i 1.10528 + 0.576623i 0.914327 0.404977i \(-0.132720\pi\)
0.190951 + 0.981600i \(0.438843\pi\)
\(614\) −577.287 + 1568.68i −0.940207 + 2.55485i
\(615\) −62.4135 + 12.1550i −0.101485 + 0.0197643i
\(616\) 183.484 54.4571i 0.297864 0.0884044i
\(617\) −243.348 107.723i −0.394405 0.174591i 0.198056 0.980191i \(-0.436537\pi\)
−0.592461 + 0.805599i \(0.701843\pi\)
\(618\) 898.896 790.437i 1.45452 1.27902i
\(619\) 859.306 832.191i 1.38822 1.34441i 0.514907 0.857246i \(-0.327827\pi\)
0.873309 0.487166i \(-0.161969\pi\)
\(620\) 25.0073 + 16.2780i 0.0403344 + 0.0262548i
\(621\) 143.871 + 372.417i 0.231677 + 0.599705i
\(622\) −586.746 + 712.039i −0.943322 + 1.14476i
\(623\) 33.5031 + 2.69079i 0.0537770 + 0.00431908i
\(624\) 2298.07 + 524.521i 3.68281 + 0.840578i
\(625\) 484.122 315.129i 0.774596 0.504206i
\(626\) −907.369 654.809i −1.44947 1.04602i
\(627\) 291.027 140.151i 0.464158 0.223527i
\(628\) 980.892 62.9754i 1.56193 0.100279i
\(629\) −282.013 + 217.596i −0.448351 + 0.345939i
\(630\) −14.3757 2.32415i −0.0228185 0.00368912i
\(631\) 65.0566 + 674.380i 0.103101 + 1.06875i 0.891327 + 0.453362i \(0.149775\pi\)
−0.788226 + 0.615386i \(0.789000\pi\)
\(632\) −430.244 + 2209.21i −0.680766 + 3.49559i
\(633\) 201.268 332.012i 0.317958 0.524505i
\(634\) −460.382 1386.60i −0.726155 2.18706i
\(635\) −131.122 71.1027i −0.206491 0.111973i
\(636\) 1884.63 + 2611.54i 2.96326 + 4.10620i
\(637\) 238.215 616.630i 0.373964 0.968022i
\(638\) 165.654 + 294.135i 0.259645 + 0.461027i
\(639\) 243.554 43.3925i 0.381149 0.0679070i
\(640\) −4.10157 127.902i −0.00640870 0.199847i
\(641\) −20.5878 + 5.75295i −0.0321182 + 0.00897496i −0.285147 0.958484i \(-0.592043\pi\)
0.253029 + 0.967459i \(0.418573\pi\)
\(642\) 980.339 1079.46i 1.52701 1.68141i
\(643\) 995.667 + 459.977i 1.54847 + 0.715360i 0.993212 0.116317i \(-0.0371089\pi\)
0.555259 + 0.831678i \(0.312619\pi\)
\(644\) 136.515 + 308.389i 0.211979 + 0.478865i
\(645\) 131.199 111.691i 0.203409 0.173165i
\(646\) 250.218 753.617i 0.387334 1.16659i
\(647\) −243.589 + 228.451i −0.376490 + 0.353093i −0.849150 0.528151i \(-0.822885\pi\)
0.472661 + 0.881244i \(0.343294\pi\)
\(648\) 1408.71 1825.75i 2.17393 2.81751i
\(649\) −341.198 229.964i −0.525729 0.354337i
\(650\) 1314.07 + 169.431i 2.02165 + 0.260662i
\(651\) 7.66695 + 20.8336i 0.0117772 + 0.0320024i
\(652\) 387.273 + 638.848i 0.593978 + 0.979828i
\(653\) 624.171 733.187i 0.955851 1.12280i −0.0364980 0.999334i \(-0.511620\pi\)
0.992349 0.123463i \(-0.0394001\pi\)
\(654\) −581.142 + 1958.06i −0.888597 + 2.99398i
\(655\) 180.094 + 17.3734i 0.274952 + 0.0265243i
\(656\) 281.812 1074.67i 0.429591 1.63822i
\(657\) −148.476 36.4019i −0.225991 0.0554062i
\(658\) −12.0197 3.35874i −0.0182671 0.00510447i
\(659\) −400.356 + 251.561i −0.607521 + 0.381731i −0.800378 0.599496i \(-0.795368\pi\)
0.192857 + 0.981227i \(0.438225\pi\)
\(660\) −14.3713 + 127.549i −0.0217748 + 0.193256i
\(661\) 53.5829 + 39.9899i 0.0810634 + 0.0604992i 0.637877 0.770138i \(-0.279813\pi\)
−0.556813 + 0.830638i \(0.687976\pi\)
\(662\) 609.772 + 191.663i 0.921105 + 0.289522i
\(663\) −459.197 + 212.139i −0.692605 + 0.319969i
\(664\) −1342.22 1180.27i −2.02141 1.77751i
\(665\) 29.0413 1.39755i 0.0436711 0.00210157i
\(666\) −308.839 + 180.515i −0.463723 + 0.271044i
\(667\) −290.327 + 216.677i −0.435273 + 0.324852i
\(668\) −378.302 + 132.374i −0.566320 + 0.198164i
\(669\) −758.256 135.094i −1.13342 0.201934i
\(670\) 50.9083 350.449i 0.0759825 0.523058i
\(671\) −9.25497 115.234i −0.0137928 0.171735i
\(672\) 299.173 428.887i 0.445198 0.638225i
\(673\) −69.0999 + 326.806i −0.102674 + 0.485596i 0.896426 + 0.443193i \(0.146154\pi\)
−0.999101 + 0.0424030i \(0.986499\pi\)
\(674\) −1327.41 1058.57i −1.96945 1.57058i
\(675\) 278.425 443.111i 0.412482 0.656461i
\(676\) 267.044 + 294.045i 0.395035 + 0.434977i
\(677\) −176.172 560.487i −0.260225 0.827898i −0.989608 0.143792i \(-0.954070\pi\)
0.729383 0.684105i \(-0.239807\pi\)
\(678\) 743.498 + 260.161i 1.09660 + 0.383718i
\(679\) −220.804 124.355i −0.325190 0.183144i
\(680\) 122.209 + 148.305i 0.179719 + 0.218096i
\(681\) −539.649 773.628i −0.792437 1.13602i
\(682\) 58.2891 24.6933i 0.0854679 0.0362071i
\(683\) −273.325 + 675.119i −0.400183 + 0.988461i 0.584071 + 0.811703i \(0.301459\pi\)
−0.984254 + 0.176758i \(0.943439\pi\)
\(684\) 248.752 516.540i 0.363673 0.755175i
\(685\) −35.5468 65.5526i −0.0518932 0.0956972i
\(686\) −462.903 434.137i −0.674786 0.632853i
\(687\) −830.005 + 134.189i −1.20816 + 0.195326i
\(688\) 763.639 + 2912.09i 1.10994 + 4.23268i
\(689\) 21.2393 + 1324.98i 0.0308262 + 1.92304i
\(690\) −191.576 + 3.07095i −0.277647 + 0.00445065i
\(691\) 1210.03 317.308i 1.75113 0.459202i 0.767752 0.640747i \(-0.221375\pi\)
0.983383 + 0.181546i \(0.0581100\pi\)
\(692\) −181.317 1121.51i −0.262019 1.62068i
\(693\) −15.1939 + 16.2007i −0.0219249 + 0.0233776i
\(694\) 205.624 111.503i 0.296289 0.160667i
\(695\) −55.2080 26.5868i −0.0794359 0.0382543i
\(696\) 1454.24 + 588.756i 2.08942 + 0.845914i
\(697\) 92.9991 + 219.527i 0.133428 + 0.314959i
\(698\) 497.908 347.319i 0.713335 0.497591i
\(699\) −295.970 + 243.890i −0.423419 + 0.348913i
\(700\) 216.932 385.185i 0.309903 0.550265i
\(701\) −8.55142 + 24.4386i −0.0121989 + 0.0348624i −0.949822 0.312792i \(-0.898736\pi\)
0.937623 + 0.347654i \(0.113022\pi\)
\(702\) 1114.40 350.277i 1.58746 0.498970i
\(703\) 528.727 480.176i 0.752102 0.683039i
\(704\) −520.154 326.835i −0.738856 0.464254i
\(705\) 3.17813 3.98525i 0.00450799 0.00565284i
\(706\) −1390.69 294.047i −1.96981 0.416497i
\(707\) 58.6570 + 40.9166i 0.0829661 + 0.0578735i
\(708\) −3129.85 + 251.373i −4.42069 + 0.355046i
\(709\) 942.284 + 136.882i 1.32903 + 0.193063i 0.771042 0.636785i \(-0.219736\pi\)
0.557990 + 0.829848i \(0.311573\pi\)
\(710\) 47.8868 268.780i 0.0674462 0.378563i
\(711\) −86.2651 246.532i −0.121329 0.346739i
\(712\) −266.424 356.984i −0.374191 0.501381i
\(713\) 34.2811 + 58.6507i 0.0480801 + 0.0822591i
\(714\) 11.2841 + 234.486i 0.0158041 + 0.328412i
\(715\) −34.8758 + 39.6613i −0.0487774 + 0.0554703i
\(716\) 512.085 + 1108.46i 0.715202 + 1.54813i
\(717\) −378.316 + 1203.60i −0.527637 + 1.67866i
\(718\) 666.064 892.466i 0.927666 1.24299i
\(719\) 815.087 + 91.8383i 1.13364 + 0.127731i 0.658784 0.752332i \(-0.271071\pi\)
0.474857 + 0.880063i \(0.342500\pi\)
\(720\) 55.2897 + 87.9930i 0.0767912 + 0.122212i
\(721\) 44.2258 158.268i 0.0613395 0.219512i
\(722\) −54.8589 + 223.758i −0.0759818 + 0.309914i
\(723\) 387.022 + 101.489i 0.535299 + 0.140372i
\(724\) −186.344 + 1931.65i −0.257382 + 2.66803i
\(725\) 455.234 + 135.111i 0.627909 + 0.186360i
\(726\) −982.916 836.769i −1.35388 1.15257i
\(727\) −649.828 + 393.930i −0.893849 + 0.541857i −0.888885 0.458131i \(-0.848519\pi\)
−0.00496454 + 0.999988i \(0.501580\pi\)
\(728\) 563.994 207.555i 0.774717 0.285103i
\(729\) 50.4386 391.192i 0.0691888 0.536614i
\(730\) −94.2896 + 139.898i −0.129164 + 0.191641i
\(731\) −511.486 394.652i −0.699707 0.539880i
\(732\) −603.495 643.483i −0.824447 0.879076i
\(733\) −1206.95 400.734i −1.64659 0.546704i −0.666539 0.745470i \(-0.732225\pi\)
−0.980047 + 0.198765i \(0.936307\pi\)
\(734\) −121.950 143.249i −0.166144 0.195162i
\(735\) 114.580 50.7210i 0.155891 0.0690081i
\(736\) 671.119 1452.71i 0.911846 1.97378i
\(737\) −399.840 363.124i −0.542524 0.492706i
\(738\) 64.4377 + 230.600i 0.0873139 + 0.312466i
\(739\) 910.652 29.2028i 1.23228 0.0395167i 0.590901 0.806744i \(-0.298773\pi\)
0.641375 + 0.767228i \(0.278364\pi\)
\(740\) 49.7811 + 279.412i 0.0672718 + 0.377584i
\(741\) 883.740 497.713i 1.19263 0.671678i
\(742\) 573.683 + 221.624i 0.773158 + 0.298685i
\(743\) 205.724 148.462i 0.276883 0.199815i −0.438156 0.898899i \(-0.644368\pi\)
0.715039 + 0.699085i \(0.246409\pi\)
\(744\) 140.246 258.630i 0.188503 0.347621i
\(745\) 62.5257 20.7600i 0.0839272 0.0278657i
\(746\) 1142.92 + 692.844i 1.53206 + 0.928746i
\(747\) 203.590 + 39.6492i 0.272544 + 0.0530779i
\(748\) 479.042 46.2126i 0.640431 0.0617816i
\(749\) 31.9501 197.623i 0.0426570 0.263849i
\(750\) 310.854 + 402.880i 0.414472 + 0.537173i
\(751\) 36.9028 + 574.792i 0.0491383 + 0.765368i 0.946224 + 0.323512i \(0.104864\pi\)
−0.897086 + 0.441856i \(0.854320\pi\)
\(752\) 38.6429 + 80.2428i 0.0513868 + 0.106706i
\(753\) 454.549 629.869i 0.603650 0.836479i
\(754\) 578.251 + 888.349i 0.766912 + 1.17818i
\(755\) 12.0398 52.7497i 0.0159467 0.0698672i
\(756\) 31.2026 388.504i 0.0412733 0.513895i
\(757\) −208.757 172.024i −0.275769 0.227244i 0.487824 0.872942i \(-0.337791\pi\)
−0.763593 + 0.645698i \(0.776566\pi\)
\(758\) −384.499 + 148.539i −0.507254 + 0.195962i
\(759\) −159.424 + 244.917i −0.210044 + 0.322684i
\(760\) −268.065 276.799i −0.352717 0.364209i
\(761\) −36.5988 41.6206i −0.0480930 0.0546920i 0.726414 0.687258i \(-0.241186\pi\)
−0.774507 + 0.632565i \(0.782002\pi\)
\(762\) −977.499 + 2208.19i −1.28281 + 2.89788i
\(763\) 79.7829 + 268.815i 0.104565 + 0.352313i
\(764\) −719.106 3692.46i −0.941238 4.83306i
\(765\) −20.9286 7.70191i −0.0273576 0.0100679i
\(766\) −182.244 + 349.327i −0.237916 + 0.456041i