Properties

Label 114.2.l.a.41.3
Level $114$
Weight $2$
Character 114.41
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \(x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.3
Root \(1.40849 - 1.00804i\) of defining polynomial
Character \(\chi\) \(=\) 114.41
Dual form 114.2.l.a.89.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 - 0.642788i) q^{2} +(1.57724 + 0.715766i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.262261 + 0.0462437i) q^{5} +(-0.748148 - 1.56214i) q^{6} +(0.604656 + 1.04730i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.97536 + 2.25787i) q^{9} +O(q^{10})\) \(q+(-0.766044 - 0.642788i) q^{2} +(1.57724 + 0.715766i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.262261 + 0.0462437i) q^{5} +(-0.748148 - 1.56214i) q^{6} +(0.604656 + 1.04730i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.97536 + 2.25787i) q^{9} +(-0.171179 - 0.204003i) q^{10} +(-2.03630 - 1.17566i) q^{11} +(-0.431008 + 1.67757i) q^{12} +(1.01749 - 2.79553i) q^{13} +(0.209995 - 1.19094i) q^{14} +(0.380548 + 0.260655i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.576470 + 0.687011i) q^{17} +(-0.0618817 - 2.99936i) q^{18} +(1.97979 - 3.88335i) q^{19} +0.266307i q^{20} +(0.204068 + 2.08463i) q^{21} +(0.804198 + 2.20952i) q^{22} +(-5.53770 + 0.976446i) q^{23} +(1.40849 - 1.00804i) q^{24} +(-4.63182 - 1.68584i) q^{25} +(-2.57637 + 1.48747i) q^{26} +(1.49950 + 4.97509i) q^{27} +(-0.926387 + 0.777331i) q^{28} +(-1.92487 + 1.61516i) q^{29} +(-0.123971 - 0.444285i) q^{30} +(-8.98131 + 5.18536i) q^{31} +(0.939693 + 0.342020i) q^{32} +(-2.37023 - 3.31181i) q^{33} +(0.883204 - 0.155733i) q^{34} +(0.110147 + 0.302626i) q^{35} +(-1.88055 + 2.33742i) q^{36} -3.95916i q^{37} +(-4.01278 + 1.70224i) q^{38} +(3.60577 - 3.68093i) q^{39} +(0.171179 - 0.204003i) q^{40} +(10.4227 - 3.79356i) q^{41} +(1.18365 - 1.72809i) q^{42} +(-0.834031 + 4.73003i) q^{43} +(0.804198 - 2.20952i) q^{44} +(0.413647 + 0.683499i) q^{45} +(4.86977 + 2.81156i) q^{46} +(-1.24341 - 1.48183i) q^{47} +(-1.72693 - 0.133153i) q^{48} +(2.76878 - 4.79567i) q^{49} +(2.46454 + 4.26871i) q^{50} +(-1.40097 + 0.670961i) q^{51} +(2.92974 + 0.516593i) q^{52} +(-0.998339 - 5.66186i) q^{53} +(2.04924 - 4.77500i) q^{54} +(-0.479676 - 0.402496i) q^{55} +1.20931 q^{56} +(5.90217 - 4.70791i) q^{57} +2.51274 q^{58} +(9.78136 + 8.20754i) q^{59} +(-0.190614 + 0.420029i) q^{60} +(-0.153642 - 0.871345i) q^{61} +(10.2132 + 1.80086i) q^{62} +(-1.17024 + 3.43401i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(0.396123 - 0.686106i) q^{65} +(-0.313086 + 4.06055i) q^{66} +(3.28864 + 3.91925i) q^{67} +(-0.776676 - 0.448414i) q^{68} +(-9.43317 - 2.42361i) q^{69} +(0.110147 - 0.302626i) q^{70} +(1.64669 - 9.33885i) q^{71} +(2.94305 - 0.581775i) q^{72} +(0.320853 - 0.116781i) q^{73} +(-2.54490 + 3.03289i) q^{74} +(-6.09881 - 5.97428i) q^{75} +(4.16814 + 1.27537i) q^{76} -2.84348i q^{77} +(-5.12823 + 0.502012i) q^{78} +(2.33914 + 6.42674i) q^{79} +(-0.262261 + 0.0462437i) q^{80} +(-1.19593 + 8.92019i) q^{81} +(-10.4227 - 3.79356i) q^{82} +(-12.2240 + 7.05752i) q^{83} +(-2.01752 + 0.562959i) q^{84} +(-0.182956 + 0.153518i) q^{85} +(3.67931 - 3.08731i) q^{86} +(-4.19206 + 1.16973i) q^{87} +(-2.03630 + 1.17566i) q^{88} +(11.5580 + 4.20677i) q^{89} +(0.122472 - 0.789478i) q^{90} +(3.54297 - 0.624722i) q^{91} +(-1.92322 - 5.28401i) q^{92} +(-17.8772 + 1.75003i) q^{93} +1.93440i q^{94} +(0.698802 - 0.926900i) q^{95} +(1.23731 + 1.21205i) q^{96} +(3.88456 - 4.62944i) q^{97} +(-5.20361 + 1.89396i) q^{98} +(-1.36794 - 6.92004i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q + 3 q^{6} + 9 q^{8} + O(q^{10}) \) \( 18 q + 3 q^{6} + 9 q^{8} - 12 q^{13} + 12 q^{14} - 24 q^{15} - 6 q^{17} - 6 q^{19} - 24 q^{22} - 18 q^{25} - 18 q^{26} - 3 q^{27} + 6 q^{28} + 6 q^{29} - 27 q^{33} - 6 q^{34} + 24 q^{35} - 3 q^{36} - 3 q^{38} + 6 q^{39} - 3 q^{41} - 6 q^{43} - 24 q^{44} + 54 q^{45} + 18 q^{46} - 30 q^{47} + 6 q^{48} + 21 q^{49} - 3 q^{50} - 33 q^{51} - 6 q^{52} + 60 q^{53} + 30 q^{55} + 12 q^{57} + 12 q^{58} - 3 q^{59} + 18 q^{60} + 54 q^{61} - 6 q^{62} + 84 q^{63} - 9 q^{64} - 24 q^{65} + 30 q^{66} - 15 q^{67} + 27 q^{68} + 24 q^{69} + 24 q^{70} - 36 q^{71} - 42 q^{73} - 6 q^{74} - 18 q^{78} - 6 q^{79} + 3 q^{82} - 36 q^{83} - 24 q^{84} + 6 q^{86} - 54 q^{87} + 60 q^{89} - 12 q^{90} - 18 q^{91} - 84 q^{93} - 6 q^{95} + 9 q^{97} - 12 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 0.642788i −0.541675 0.454519i
\(3\) 1.57724 + 0.715766i 0.910619 + 0.413248i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) 0.262261 + 0.0462437i 0.117287 + 0.0206808i 0.231983 0.972720i \(-0.425478\pi\)
−0.114697 + 0.993401i \(0.536590\pi\)
\(6\) −0.748148 1.56214i −0.305430 0.637740i
\(7\) 0.604656 + 1.04730i 0.228539 + 0.395840i 0.957375 0.288847i \(-0.0932720\pi\)
−0.728837 + 0.684688i \(0.759939\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 1.97536 + 2.25787i 0.658452 + 0.752623i
\(10\) −0.171179 0.204003i −0.0541315 0.0645114i
\(11\) −2.03630 1.17566i −0.613968 0.354474i 0.160549 0.987028i \(-0.448674\pi\)
−0.774517 + 0.632553i \(0.782007\pi\)
\(12\) −0.431008 + 1.67757i −0.124421 + 0.484272i
\(13\) 1.01749 2.79553i 0.282201 0.775340i −0.714899 0.699228i \(-0.753527\pi\)
0.997099 0.0761119i \(-0.0242506\pi\)
\(14\) 0.209995 1.19094i 0.0561235 0.318292i
\(15\) 0.380548 + 0.260655i 0.0982572 + 0.0673008i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −0.576470 + 0.687011i −0.139815 + 0.166625i −0.831408 0.555663i \(-0.812465\pi\)
0.691593 + 0.722287i \(0.256909\pi\)
\(18\) −0.0618817 2.99936i −0.0145857 0.706956i
\(19\) 1.97979 3.88335i 0.454194 0.890903i
\(20\) 0.266307i 0.0595480i
\(21\) 0.204068 + 2.08463i 0.0445312 + 0.454903i
\(22\) 0.804198 + 2.20952i 0.171456 + 0.471070i
\(23\) −5.53770 + 0.976446i −1.15469 + 0.203603i −0.718022 0.696020i \(-0.754952\pi\)
−0.436668 + 0.899623i \(0.643841\pi\)
\(24\) 1.40849 1.00804i 0.287507 0.205766i
\(25\) −4.63182 1.68584i −0.926364 0.337169i
\(26\) −2.57637 + 1.48747i −0.505268 + 0.291717i
\(27\) 1.49950 + 4.97509i 0.288579 + 0.957456i
\(28\) −0.926387 + 0.777331i −0.175071 + 0.146902i
\(29\) −1.92487 + 1.61516i −0.357440 + 0.299928i −0.803769 0.594941i \(-0.797175\pi\)
0.446329 + 0.894869i \(0.352731\pi\)
\(30\) −0.123971 0.444285i −0.0226339 0.0811150i
\(31\) −8.98131 + 5.18536i −1.61309 + 0.931319i −0.624443 + 0.781070i \(0.714674\pi\)
−0.988648 + 0.150249i \(0.951993\pi\)
\(32\) 0.939693 + 0.342020i 0.166116 + 0.0604612i
\(33\) −2.37023 3.31181i −0.412605 0.576512i
\(34\) 0.883204 0.155733i 0.151468 0.0267079i
\(35\) 0.110147 + 0.302626i 0.0186182 + 0.0511532i
\(36\) −1.88055 + 2.33742i −0.313425 + 0.389570i
\(37\) 3.95916i 0.650882i −0.945562 0.325441i \(-0.894487\pi\)
0.945562 0.325441i \(-0.105513\pi\)
\(38\) −4.01278 + 1.70224i −0.650958 + 0.276140i
\(39\) 3.60577 3.68093i 0.577385 0.589420i
\(40\) 0.171179 0.204003i 0.0270657 0.0322557i
\(41\) 10.4227 3.79356i 1.62776 0.592455i 0.642920 0.765934i \(-0.277723\pi\)
0.984838 + 0.173479i \(0.0555007\pi\)
\(42\) 1.18365 1.72809i 0.182641 0.266650i
\(43\) −0.834031 + 4.73003i −0.127189 + 0.721322i 0.852795 + 0.522245i \(0.174905\pi\)
−0.979984 + 0.199077i \(0.936206\pi\)
\(44\) 0.804198 2.20952i 0.121237 0.333097i
\(45\) 0.413647 + 0.683499i 0.0616629 + 0.101890i
\(46\) 4.86977 + 2.81156i 0.718008 + 0.414542i
\(47\) −1.24341 1.48183i −0.181369 0.216147i 0.667698 0.744432i \(-0.267280\pi\)
−0.849067 + 0.528285i \(0.822835\pi\)
\(48\) −1.72693 0.133153i −0.249260 0.0192190i
\(49\) 2.76878 4.79567i 0.395540 0.685096i
\(50\) 2.46454 + 4.26871i 0.348539 + 0.603687i
\(51\) −1.40097 + 0.670961i −0.196175 + 0.0939533i
\(52\) 2.92974 + 0.516593i 0.406282 + 0.0716385i
\(53\) −0.998339 5.66186i −0.137132 0.777717i −0.973351 0.229320i \(-0.926350\pi\)
0.836219 0.548396i \(-0.184761\pi\)
\(54\) 2.04924 4.77500i 0.278866 0.649795i
\(55\) −0.479676 0.402496i −0.0646794 0.0542725i
\(56\) 1.20931 0.161601
\(57\) 5.90217 4.70791i 0.781762 0.623578i
\(58\) 2.51274 0.329939
\(59\) 9.78136 + 8.20754i 1.27342 + 1.06853i 0.994115 + 0.108329i \(0.0345501\pi\)
0.279310 + 0.960201i \(0.409894\pi\)
\(60\) −0.190614 + 0.420029i −0.0246081 + 0.0542255i
\(61\) −0.153642 0.871345i −0.0196718 0.111564i 0.973391 0.229152i \(-0.0735951\pi\)
−0.993063 + 0.117587i \(0.962484\pi\)
\(62\) 10.2132 + 1.80086i 1.29707 + 0.228709i
\(63\) −1.17024 + 3.43401i −0.147437 + 0.432645i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 0.396123 0.686106i 0.0491331 0.0851010i
\(66\) −0.313086 + 4.06055i −0.0385382 + 0.499819i
\(67\) 3.28864 + 3.91925i 0.401771 + 0.478812i 0.928559 0.371184i \(-0.121048\pi\)
−0.526788 + 0.849997i \(0.676604\pi\)
\(68\) −0.776676 0.448414i −0.0941859 0.0543782i
\(69\) −9.43317 2.42361i −1.13562 0.291769i
\(70\) 0.110147 0.302626i 0.0131651 0.0361708i
\(71\) 1.64669 9.33885i 0.195426 1.10832i −0.716384 0.697706i \(-0.754204\pi\)
0.911810 0.410612i \(-0.134685\pi\)
\(72\) 2.94305 0.581775i 0.346842 0.0685629i
\(73\) 0.320853 0.116781i 0.0375530 0.0136682i −0.323175 0.946339i \(-0.604750\pi\)
0.360728 + 0.932671i \(0.382528\pi\)
\(74\) −2.54490 + 3.03289i −0.295838 + 0.352566i
\(75\) −6.09881 5.97428i −0.704230 0.689850i
\(76\) 4.16814 + 1.27537i 0.478119 + 0.146295i
\(77\) 2.84348i 0.324044i
\(78\) −5.12823 + 0.502012i −0.580658 + 0.0568416i
\(79\) 2.33914 + 6.42674i 0.263174 + 0.723064i 0.998949 + 0.0458383i \(0.0145959\pi\)
−0.735775 + 0.677226i \(0.763182\pi\)
\(80\) −0.262261 + 0.0462437i −0.0293217 + 0.00517020i
\(81\) −1.19593 + 8.92019i −0.132881 + 0.991132i
\(82\) −10.4227 3.79356i −1.15100 0.418929i
\(83\) −12.2240 + 7.05752i −1.34176 + 0.774663i −0.987065 0.160320i \(-0.948747\pi\)
−0.354691 + 0.934984i \(0.615414\pi\)
\(84\) −2.01752 + 0.562959i −0.220129 + 0.0614238i
\(85\) −0.182956 + 0.153518i −0.0198443 + 0.0166514i
\(86\) 3.67931 3.08731i 0.396750 0.332913i
\(87\) −4.19206 + 1.16973i −0.449436 + 0.125408i
\(88\) −2.03630 + 1.17566i −0.217070 + 0.125326i
\(89\) 11.5580 + 4.20677i 1.22515 + 0.445917i 0.871933 0.489626i \(-0.162867\pi\)
0.353213 + 0.935543i \(0.385089\pi\)
\(90\) 0.122472 0.789478i 0.0129097 0.0832182i
\(91\) 3.54297 0.624722i 0.371405 0.0654887i
\(92\) −1.92322 5.28401i −0.200510 0.550896i
\(93\) −17.8772 + 1.75003i −1.85378 + 0.181469i
\(94\) 1.93440i 0.199518i
\(95\) 0.698802 0.926900i 0.0716956 0.0950979i
\(96\) 1.23731 + 1.21205i 0.126283 + 0.123704i
\(97\) 3.88456 4.62944i 0.394418 0.470049i −0.531892 0.846812i \(-0.678519\pi\)
0.926309 + 0.376764i \(0.122963\pi\)
\(98\) −5.20361 + 1.89396i −0.525644 + 0.191319i
\(99\) −1.36794 6.92004i −0.137483 0.695490i
\(100\) 0.855926 4.85420i 0.0855926 0.485420i
\(101\) −3.54557 + 9.74137i −0.352797 + 0.969302i 0.628670 + 0.777672i \(0.283600\pi\)
−0.981467 + 0.191630i \(0.938623\pi\)
\(102\) 1.50449 + 0.386540i 0.148967 + 0.0382732i
\(103\) −12.7994 7.38973i −1.26116 0.728131i −0.287861 0.957672i \(-0.592944\pi\)
−0.973299 + 0.229541i \(0.926278\pi\)
\(104\) −1.91225 2.27894i −0.187512 0.223468i
\(105\) −0.0428818 + 0.556153i −0.00418484 + 0.0542750i
\(106\) −2.87460 + 4.97896i −0.279206 + 0.483599i
\(107\) 8.08439 + 14.0026i 0.781547 + 1.35368i 0.931040 + 0.364917i \(0.118903\pi\)
−0.149493 + 0.988763i \(0.547764\pi\)
\(108\) −4.63912 + 2.34063i −0.446399 + 0.225228i
\(109\) 17.9876 + 3.17170i 1.72290 + 0.303794i 0.945599 0.325334i \(-0.105477\pi\)
0.777302 + 0.629128i \(0.216588\pi\)
\(110\) 0.108734 + 0.616659i 0.0103673 + 0.0587961i
\(111\) 2.83383 6.24453i 0.268975 0.592705i
\(112\) −0.926387 0.777331i −0.0875353 0.0734509i
\(113\) −2.40020 −0.225792 −0.112896 0.993607i \(-0.536013\pi\)
−0.112896 + 0.993607i \(0.536013\pi\)
\(114\) −7.54751 0.187376i −0.706889 0.0175493i
\(115\) −1.49748 −0.139640
\(116\) −1.92487 1.61516i −0.178720 0.149964i
\(117\) 8.32184 3.22481i 0.769354 0.298134i
\(118\) −2.21725 12.5747i −0.204115 1.15759i
\(119\) −1.06807 0.188329i −0.0979098 0.0172641i
\(120\) 0.416008 0.199237i 0.0379762 0.0181878i
\(121\) −2.73565 4.73829i −0.248696 0.430754i
\(122\) −0.442393 + 0.766248i −0.0400524 + 0.0693728i
\(123\) 19.1544 + 1.47689i 1.72710 + 0.133167i
\(124\) −6.66618 7.94444i −0.598640 0.713432i
\(125\) −2.28993 1.32209i −0.204818 0.118251i
\(126\) 3.10380 1.87839i 0.276508 0.167340i
\(127\) −2.02408 + 5.56112i −0.179608 + 0.493470i −0.996526 0.0832849i \(-0.973459\pi\)
0.816918 + 0.576754i \(0.195681\pi\)
\(128\) −0.173648 + 0.984808i −0.0153485 + 0.0870455i
\(129\) −4.70106 + 6.86340i −0.413905 + 0.604289i
\(130\) −0.744469 + 0.270964i −0.0652942 + 0.0237652i
\(131\) 11.1080 13.2379i 0.970506 1.15660i −0.0171319 0.999853i \(-0.505454\pi\)
0.987638 0.156751i \(-0.0501020\pi\)
\(132\) 2.84991 2.90931i 0.248053 0.253223i
\(133\) 5.26411 0.274672i 0.456456 0.0238171i
\(134\) 5.11622i 0.441974i
\(135\) 0.163194 + 1.37411i 0.0140455 + 0.118265i
\(136\) 0.306733 + 0.842743i 0.0263022 + 0.0722646i
\(137\) −18.0150 + 3.17653i −1.53912 + 0.271389i −0.877917 0.478813i \(-0.841067\pi\)
−0.661208 + 0.750203i \(0.729956\pi\)
\(138\) 5.66836 + 7.92012i 0.482523 + 0.674206i
\(139\) −2.16057 0.786381i −0.183257 0.0667000i 0.248762 0.968565i \(-0.419976\pi\)
−0.432019 + 0.901865i \(0.642199\pi\)
\(140\) −0.278902 + 0.161024i −0.0235715 + 0.0136090i
\(141\) −0.900499 3.22719i −0.0758357 0.271778i
\(142\) −7.26434 + 6.09550i −0.609610 + 0.511523i
\(143\) −5.35850 + 4.49632i −0.448100 + 0.376001i
\(144\) −2.62846 1.44609i −0.219039 0.120507i
\(145\) −0.579510 + 0.334580i −0.0481257 + 0.0277854i
\(146\) −0.320853 0.116781i −0.0265540 0.00966485i
\(147\) 7.79961 5.58211i 0.643301 0.460405i
\(148\) 3.89901 0.687501i 0.320497 0.0565122i
\(149\) 2.67853 + 7.35921i 0.219434 + 0.602890i 0.999747 0.0224995i \(-0.00716240\pi\)
−0.780313 + 0.625389i \(0.784940\pi\)
\(150\) 0.831767 + 8.49680i 0.0679135 + 0.693761i
\(151\) 11.1343i 0.906098i 0.891486 + 0.453049i \(0.149664\pi\)
−0.891486 + 0.453049i \(0.850336\pi\)
\(152\) −2.37319 3.65622i −0.192491 0.296559i
\(153\) −2.68991 + 0.0554973i −0.217467 + 0.00448669i
\(154\) −1.82775 + 2.17823i −0.147284 + 0.175527i
\(155\) −2.59524 + 0.944590i −0.208455 + 0.0758713i
\(156\) 4.25114 + 2.91180i 0.340364 + 0.233131i
\(157\) −3.68519 + 20.8997i −0.294110 + 1.66798i 0.376688 + 0.926340i \(0.377063\pi\)
−0.670798 + 0.741640i \(0.734048\pi\)
\(158\) 2.33914 6.42674i 0.186092 0.511284i
\(159\) 2.47795 9.64468i 0.196515 0.764873i
\(160\) 0.230629 + 0.133153i 0.0182328 + 0.0105267i
\(161\) −4.37103 5.20919i −0.344485 0.410542i
\(162\) 6.64992 6.06453i 0.522467 0.476474i
\(163\) 1.74061 3.01482i 0.136335 0.236139i −0.789772 0.613401i \(-0.789801\pi\)
0.926107 + 0.377262i \(0.123134\pi\)
\(164\) 5.54582 + 9.60564i 0.433056 + 0.750075i
\(165\) −0.468470 0.978167i −0.0364703 0.0761502i
\(166\) 13.9006 + 2.45105i 1.07890 + 0.190238i
\(167\) −3.56671 20.2278i −0.276000 1.56527i −0.735767 0.677235i \(-0.763178\pi\)
0.459767 0.888040i \(-0.347933\pi\)
\(168\) 1.90737 + 0.865585i 0.147157 + 0.0667813i
\(169\) 3.17888 + 2.66740i 0.244529 + 0.205185i
\(170\) 0.238832 0.0183176
\(171\) 12.6789 3.20091i 0.969579 0.244780i
\(172\) −4.80300 −0.366225
\(173\) −6.38346 5.35636i −0.485326 0.407237i 0.367022 0.930212i \(-0.380377\pi\)
−0.852348 + 0.522976i \(0.824822\pi\)
\(174\) 3.96319 + 1.79854i 0.300449 + 0.136347i
\(175\) −1.03508 5.87024i −0.0782448 0.443748i
\(176\) 2.31560 + 0.408302i 0.174545 + 0.0307769i
\(177\) 9.55285 + 19.9464i 0.718036 + 1.49926i
\(178\) −6.14989 10.6519i −0.460953 0.798395i
\(179\) 4.51280 7.81640i 0.337302 0.584225i −0.646622 0.762811i \(-0.723819\pi\)
0.983924 + 0.178586i \(0.0571522\pi\)
\(180\) −0.601286 + 0.526051i −0.0448172 + 0.0392095i
\(181\) 5.90976 + 7.04297i 0.439269 + 0.523500i 0.939573 0.342350i \(-0.111223\pi\)
−0.500304 + 0.865850i \(0.666778\pi\)
\(182\) −3.11564 1.79882i −0.230947 0.133337i
\(183\) 0.381350 1.48429i 0.0281902 0.109722i
\(184\) −1.92322 + 5.28401i −0.141782 + 0.389542i
\(185\) 0.183086 1.03833i 0.0134608 0.0763398i
\(186\) 14.8196 + 10.1506i 1.08663 + 0.744280i
\(187\) 1.98156 0.721228i 0.144906 0.0527414i
\(188\) 1.24341 1.48183i 0.0906846 0.108074i
\(189\) −4.30370 + 4.57864i −0.313048 + 0.333047i
\(190\) −1.13111 + 0.260865i −0.0820596 + 0.0189252i
\(191\) 7.33252i 0.530562i −0.964171 0.265281i \(-0.914535\pi\)
0.964171 0.265281i \(-0.0854648\pi\)
\(192\) −0.168747 1.72381i −0.0121783 0.124405i
\(193\) 0.613121 + 1.68453i 0.0441334 + 0.121255i 0.959801 0.280680i \(-0.0905599\pi\)
−0.915668 + 0.401935i \(0.868338\pi\)
\(194\) −5.95150 + 1.04941i −0.427293 + 0.0753432i
\(195\) 1.11587 0.798620i 0.0799093 0.0571904i
\(196\) 5.20361 + 1.89396i 0.371686 + 0.135283i
\(197\) 6.85271 3.95642i 0.488236 0.281883i −0.235607 0.971849i \(-0.575708\pi\)
0.723842 + 0.689966i \(0.242374\pi\)
\(198\) −3.40022 + 6.18035i −0.241643 + 0.439219i
\(199\) −8.01318 + 6.72386i −0.568039 + 0.476642i −0.880995 0.473126i \(-0.843125\pi\)
0.312955 + 0.949768i \(0.398681\pi\)
\(200\) −3.77589 + 3.16835i −0.266996 + 0.224036i
\(201\) 2.38170 + 8.53548i 0.167992 + 0.602047i
\(202\) 8.97769 5.18327i 0.631668 0.364694i
\(203\) −2.85543 1.03929i −0.200412 0.0729441i
\(204\) −0.904043 1.26317i −0.0632957 0.0884399i
\(205\) 2.90891 0.512919i 0.203167 0.0358238i
\(206\) 5.05487 + 13.8881i 0.352189 + 0.967633i
\(207\) −13.1436 10.5746i −0.913544 0.734983i
\(208\) 2.97494i 0.206275i
\(209\) −8.59694 + 5.58012i −0.594663 + 0.385985i
\(210\) 0.390338 0.398474i 0.0269359 0.0274973i
\(211\) 8.93046 10.6429i 0.614799 0.732688i −0.365368 0.930863i \(-0.619057\pi\)
0.980167 + 0.198175i \(0.0635013\pi\)
\(212\) 5.40249 1.96634i 0.371044 0.135049i
\(213\) 9.28166 13.5509i 0.635969 0.928495i
\(214\) 2.80768 15.9231i 0.191929 1.08848i
\(215\) −0.437468 + 1.20193i −0.0298351 + 0.0819712i
\(216\) 5.05830 + 1.18894i 0.344174 + 0.0808970i
\(217\) −10.8612 6.27072i −0.737307 0.425684i
\(218\) −11.7406 13.9919i −0.795172 0.947650i
\(219\) 0.589649 + 0.0454645i 0.0398448 + 0.00307221i
\(220\) 0.313086 0.542281i 0.0211083 0.0365606i
\(221\) 1.33401 + 2.31057i 0.0897349 + 0.155425i
\(222\) −6.18475 + 2.96204i −0.415093 + 0.198799i
\(223\) −12.2714 2.16379i −0.821757 0.144898i −0.253066 0.967449i \(-0.581439\pi\)
−0.568691 + 0.822551i \(0.692550\pi\)
\(224\) 0.209995 + 1.19094i 0.0140309 + 0.0795730i
\(225\) −5.34308 13.7882i −0.356206 0.919212i
\(226\) 1.83866 + 1.54282i 0.122306 + 0.102627i
\(227\) −1.63948 −0.108816 −0.0544081 0.998519i \(-0.517327\pi\)
−0.0544081 + 0.998519i \(0.517327\pi\)
\(228\) 5.66128 + 4.99498i 0.374928 + 0.330801i
\(229\) −12.1547 −0.803204 −0.401602 0.915814i \(-0.631546\pi\)
−0.401602 + 0.915814i \(0.631546\pi\)
\(230\) 1.14713 + 0.962560i 0.0756398 + 0.0634693i
\(231\) 2.03527 4.48484i 0.133911 0.295081i
\(232\) 0.436333 + 2.47457i 0.0286467 + 0.162463i
\(233\) −2.37239 0.418316i −0.155420 0.0274048i 0.0953966 0.995439i \(-0.469588\pi\)
−0.250817 + 0.968035i \(0.580699\pi\)
\(234\) −8.44777 2.87883i −0.552248 0.188195i
\(235\) −0.257571 0.446127i −0.0168021 0.0291021i
\(236\) −6.38433 + 11.0580i −0.415585 + 0.719814i
\(237\) −0.910662 + 11.8108i −0.0591538 + 0.767192i
\(238\) 0.697133 + 0.830810i 0.0451884 + 0.0538534i
\(239\) 16.5806 + 9.57284i 1.07251 + 0.619215i 0.928867 0.370414i \(-0.120784\pi\)
0.143646 + 0.989629i \(0.454117\pi\)
\(240\) −0.446748 0.114780i −0.0288374 0.00740904i
\(241\) 1.43503 3.94271i 0.0924383 0.253972i −0.884854 0.465869i \(-0.845742\pi\)
0.977292 + 0.211897i \(0.0679641\pi\)
\(242\) −0.950083 + 5.38819i −0.0610736 + 0.346366i
\(243\) −8.27104 + 13.2132i −0.530587 + 0.847630i
\(244\) 0.831427 0.302615i 0.0532267 0.0193729i
\(245\) 0.947913 1.12968i 0.0605600 0.0721726i
\(246\) −13.7238 13.4436i −0.874999 0.857132i
\(247\) −8.84162 9.48582i −0.562579 0.603568i
\(248\) 10.3707i 0.658542i
\(249\) −24.3317 + 2.38187i −1.54196 + 0.150945i
\(250\) 0.904364 + 2.48472i 0.0571970 + 0.157147i
\(251\) −4.15098 + 0.731929i −0.262007 + 0.0461990i −0.303109 0.952956i \(-0.598024\pi\)
0.0411012 + 0.999155i \(0.486913\pi\)
\(252\) −3.58505 0.556153i −0.225837 0.0350344i
\(253\) 12.4244 + 4.52211i 0.781114 + 0.284302i
\(254\) 5.12516 2.95901i 0.321581 0.185665i
\(255\) −0.398448 + 0.111181i −0.0249518 + 0.00696242i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −13.6150 + 11.4244i −0.849282 + 0.712632i −0.959631 0.281260i \(-0.909248\pi\)
0.110349 + 0.993893i \(0.464803\pi\)
\(258\) 8.01293 2.23589i 0.498863 0.139200i
\(259\) 4.14641 2.39393i 0.257645 0.148752i
\(260\) 0.744469 + 0.270964i 0.0461700 + 0.0168045i
\(261\) −7.44913 1.15559i −0.461089 0.0715293i
\(262\) −17.0184 + 3.00080i −1.05140 + 0.185390i
\(263\) −0.383160 1.05272i −0.0236267 0.0649138i 0.927319 0.374273i \(-0.122108\pi\)
−0.950945 + 0.309359i \(0.899885\pi\)
\(264\) −4.05323 + 0.396777i −0.249459 + 0.0244200i
\(265\) 1.53105i 0.0940519i
\(266\) −4.20910 3.17329i −0.258076 0.194567i
\(267\) 15.2187 + 14.9079i 0.931366 + 0.912349i
\(268\) −3.28864 + 3.91925i −0.200886 + 0.239406i
\(269\) −18.2909 + 6.65734i −1.11522 + 0.405905i −0.832904 0.553418i \(-0.813323\pi\)
−0.282311 + 0.959323i \(0.591101\pi\)
\(270\) 0.758250 1.15753i 0.0461456 0.0704452i
\(271\) −0.0552285 + 0.313217i −0.00335489 + 0.0190266i −0.986439 0.164127i \(-0.947519\pi\)
0.983084 + 0.183153i \(0.0586305\pi\)
\(272\) 0.306733 0.842743i 0.0185984 0.0510988i
\(273\) 6.03527 + 1.55061i 0.365271 + 0.0938470i
\(274\) 15.8421 + 9.14645i 0.957057 + 0.552557i
\(275\) 7.44980 + 8.87833i 0.449240 + 0.535383i
\(276\) 0.748739 9.71072i 0.0450688 0.584517i
\(277\) 10.9678 18.9968i 0.658993 1.14141i −0.321884 0.946779i \(-0.604316\pi\)
0.980877 0.194630i \(-0.0623506\pi\)
\(278\) 1.14961 + 1.99119i 0.0689492 + 0.119424i
\(279\) −29.4492 10.0357i −1.76308 0.600820i
\(280\) 0.317156 + 0.0559231i 0.0189537 + 0.00334204i
\(281\) −2.62001 14.8588i −0.156297 0.886403i −0.957591 0.288132i \(-0.906966\pi\)
0.801294 0.598271i \(-0.204145\pi\)
\(282\) −1.38458 + 3.05100i −0.0824502 + 0.181684i
\(283\) −5.08697 4.26848i −0.302389 0.253735i 0.478949 0.877843i \(-0.341018\pi\)
−0.781338 + 0.624108i \(0.785462\pi\)
\(284\) 9.48292 0.562708
\(285\) 1.76562 0.961763i 0.104586 0.0569699i
\(286\) 6.99503 0.413625
\(287\) 10.2751 + 8.62187i 0.606523 + 0.508933i
\(288\) 1.08399 + 2.79731i 0.0638748 + 0.164833i
\(289\) 2.81235 + 15.9496i 0.165433 + 0.938215i
\(290\) 0.658995 + 0.116199i 0.0386975 + 0.00682341i
\(291\) 9.44048 4.52129i 0.553411 0.265043i
\(292\) 0.170722 + 0.295699i 0.00999076 + 0.0173045i
\(293\) 14.2028 24.5999i 0.829735 1.43714i −0.0685112 0.997650i \(-0.521825\pi\)
0.898246 0.439493i \(-0.144842\pi\)
\(294\) −9.56296 0.737346i −0.557723 0.0430029i
\(295\) 2.18572 + 2.60484i 0.127258 + 0.151660i
\(296\) −3.42873 1.97958i −0.199291 0.115061i
\(297\) 2.79557 11.8937i 0.162215 0.690141i
\(298\) 2.67853 7.35921i 0.155163 0.426307i
\(299\) −2.90487 + 16.4743i −0.167993 + 0.952734i
\(300\) 4.82447 7.04358i 0.278541 0.406661i
\(301\) −5.45804 + 1.98656i −0.314596 + 0.114504i
\(302\) 7.15700 8.52938i 0.411839 0.490811i
\(303\) −12.5647 + 12.8266i −0.721826 + 0.736872i
\(304\) −0.532206 + 4.32629i −0.0305241 + 0.248130i
\(305\) 0.235625i 0.0134918i
\(306\) 2.09627 + 1.68653i 0.119836 + 0.0964125i
\(307\) 1.49097 + 4.09641i 0.0850942 + 0.233794i 0.974940 0.222466i \(-0.0714107\pi\)
−0.889846 + 0.456261i \(0.849188\pi\)
\(308\) 2.80028 0.493765i 0.159561 0.0281348i
\(309\) −14.8983 20.8167i −0.847537 1.18422i
\(310\) 2.59524 + 0.944590i 0.147400 + 0.0536491i
\(311\) −4.11082 + 2.37338i −0.233103 + 0.134582i −0.612003 0.790856i \(-0.709636\pi\)
0.378900 + 0.925438i \(0.376303\pi\)
\(312\) −1.38489 4.96315i −0.0784041 0.280983i
\(313\) 14.5023 12.1689i 0.819718 0.687825i −0.133188 0.991091i \(-0.542521\pi\)
0.952906 + 0.303265i \(0.0980769\pi\)
\(314\) 16.2571 13.6413i 0.917442 0.769825i
\(315\) −0.465711 + 0.846492i −0.0262398 + 0.0476944i
\(316\) −5.92291 + 3.41960i −0.333190 + 0.192367i
\(317\) 29.4488 + 10.7185i 1.65401 + 0.602010i 0.989404 0.145186i \(-0.0463782\pi\)
0.664604 + 0.747196i \(0.268600\pi\)
\(318\) −8.09771 + 5.79546i −0.454097 + 0.324993i
\(319\) 5.81850 1.02596i 0.325773 0.0574426i
\(320\) −0.0910823 0.250247i −0.00509166 0.0139892i
\(321\) 2.72843 + 27.8719i 0.152286 + 1.55566i
\(322\) 6.80012i 0.378956i
\(323\) 1.52662 + 3.59877i 0.0849432 + 0.200241i
\(324\) −8.99234 + 0.371211i −0.499575 + 0.0206229i
\(325\) −9.42565 + 11.2331i −0.522841 + 0.623098i
\(326\) −3.27128 + 1.19065i −0.181179 + 0.0659438i
\(327\) 26.1005 + 17.8775i 1.44336 + 0.988626i
\(328\) 1.92604 10.9231i 0.106348 0.603129i
\(329\) 0.800083 2.19821i 0.0441100 0.121191i
\(330\) −0.269885 + 1.05045i −0.0148567 + 0.0578251i
\(331\) −3.20610 1.85104i −0.176223 0.101742i 0.409294 0.912403i \(-0.365775\pi\)
−0.585517 + 0.810660i \(0.699108\pi\)
\(332\) −9.07297 10.8127i −0.497944 0.593426i
\(333\) 8.93925 7.82075i 0.489868 0.428574i
\(334\) −10.2699 + 17.7880i −0.561945 + 0.973318i
\(335\) 0.681242 + 1.17995i 0.0372202 + 0.0644673i
\(336\) −0.904745 1.88911i −0.0493579 0.103060i
\(337\) −19.7344 3.47971i −1.07500 0.189552i −0.391997 0.919967i \(-0.628216\pi\)
−0.683004 + 0.730415i \(0.739327\pi\)
\(338\) −0.720594 4.08669i −0.0391952 0.222287i
\(339\) −3.78568 1.71798i −0.205610 0.0933079i
\(340\) −0.182956 0.153518i −0.00992217 0.00832569i
\(341\) 24.3849 1.32051
\(342\) −11.7701 5.69779i −0.636454 0.308101i
\(343\) 15.1618 0.818662
\(344\) 3.67931 + 3.08731i 0.198375 + 0.166456i
\(345\) −2.36188 1.07184i −0.127159 0.0577062i
\(346\) 1.44701 + 8.20642i 0.0777919 + 0.441180i
\(347\) −0.281016 0.0495507i −0.0150857 0.00266002i 0.166100 0.986109i \(-0.446882\pi\)
−0.181186 + 0.983449i \(0.557994\pi\)
\(348\) −1.87990 3.92525i −0.100773 0.210415i
\(349\) 6.98873 + 12.1048i 0.374098 + 0.647957i 0.990192 0.139716i \(-0.0446190\pi\)
−0.616093 + 0.787673i \(0.711286\pi\)
\(350\) −2.98040 + 5.16220i −0.159309 + 0.275931i
\(351\) 15.4337 + 0.870200i 0.823791 + 0.0464479i
\(352\) −1.51140 1.80121i −0.0805578 0.0960050i
\(353\) 17.7647 + 10.2564i 0.945519 + 0.545895i 0.891686 0.452654i \(-0.149523\pi\)
0.0538327 + 0.998550i \(0.482856\pi\)
\(354\) 5.50339 21.4203i 0.292502 1.13848i
\(355\) 0.863726 2.37307i 0.0458418 0.125949i
\(356\) −2.13583 + 12.1129i −0.113199 + 0.641983i
\(357\) −1.54980 1.06153i −0.0820241 0.0561820i
\(358\) −8.48129 + 3.08694i −0.448250 + 0.163150i
\(359\) 17.9876 21.4368i 0.949348 1.13139i −0.0418658 0.999123i \(-0.513330\pi\)
0.991214 0.132266i \(-0.0422254\pi\)
\(360\) 0.798751 0.0164795i 0.0420979 0.000868548i
\(361\) −11.1609 15.3764i −0.587415 0.809286i
\(362\) 9.19395i 0.483223i
\(363\) −0.923266 9.43150i −0.0484589 0.495025i
\(364\) 1.23046 + 3.38067i 0.0644937 + 0.177195i
\(365\) 0.0895476 0.0157897i 0.00468713 0.000826468i
\(366\) −1.24621 + 0.891904i −0.0651406 + 0.0466206i
\(367\) 1.43051 + 0.520662i 0.0746719 + 0.0271783i 0.379086 0.925361i \(-0.376238\pi\)
−0.304414 + 0.952540i \(0.598461\pi\)
\(368\) 4.86977 2.81156i 0.253854 0.146563i
\(369\) 29.1540 + 16.0395i 1.51770 + 0.834983i
\(370\) −0.807680 + 0.677724i −0.0419893 + 0.0352332i
\(371\) 5.32599 4.46904i 0.276512 0.232021i
\(372\) −4.82778 17.3017i −0.250309 0.897051i
\(373\) 4.13495 2.38731i 0.214100 0.123610i −0.389116 0.921189i \(-0.627219\pi\)
0.603215 + 0.797578i \(0.293886\pi\)
\(374\) −1.98156 0.721228i −0.102464 0.0372938i
\(375\) −2.66545 3.72431i −0.137643 0.192322i
\(376\) −1.90501 + 0.335904i −0.0982432 + 0.0173229i
\(377\) 2.55669 + 7.02444i 0.131676 + 0.361777i
\(378\) 6.23992 0.741073i 0.320947 0.0381167i
\(379\) 13.4129i 0.688972i −0.938791 0.344486i \(-0.888053\pi\)
0.938791 0.344486i \(-0.111947\pi\)
\(380\) 1.03416 + 0.527231i 0.0530515 + 0.0270464i
\(381\) −7.17292 + 7.32244i −0.367480 + 0.375140i
\(382\) −4.71325 + 5.61704i −0.241151 + 0.287393i
\(383\) −30.5956 + 11.1359i −1.56336 + 0.569017i −0.971503 0.237026i \(-0.923827\pi\)
−0.591857 + 0.806043i \(0.701605\pi\)
\(384\) −0.978777 + 1.42898i −0.0499480 + 0.0729225i
\(385\) 0.131493 0.745733i 0.00670150 0.0380061i
\(386\) 0.613121 1.68453i 0.0312070 0.0857406i
\(387\) −12.3273 + 7.46036i −0.626631 + 0.379231i
\(388\) 5.23366 + 3.02165i 0.265699 + 0.153401i
\(389\) −8.33624 9.93474i −0.422664 0.503711i 0.512127 0.858910i \(-0.328858\pi\)
−0.934791 + 0.355199i \(0.884413\pi\)
\(390\) −1.36815 0.105490i −0.0692790 0.00534172i
\(391\) 2.52149 4.36735i 0.127517 0.220866i
\(392\) −2.76878 4.79567i −0.139845 0.242218i
\(393\) 26.9952 12.9287i 1.36173 0.652166i
\(394\) −7.79262 1.37405i −0.392586 0.0692236i
\(395\) 0.316270 + 1.79365i 0.0159132 + 0.0902485i
\(396\) 6.57737 2.54881i 0.330525 0.128082i
\(397\) 18.9635 + 15.9123i 0.951752 + 0.798615i 0.979592 0.200997i \(-0.0644183\pi\)
−0.0278396 + 0.999612i \(0.508863\pi\)
\(398\) 10.4605 0.524336
\(399\) 8.49935 + 3.33465i 0.425500 + 0.166941i
\(400\) 4.92908 0.246454
\(401\) −4.89417 4.10670i −0.244403 0.205079i 0.512354 0.858774i \(-0.328773\pi\)
−0.756758 + 0.653695i \(0.773218\pi\)
\(402\) 3.66202 8.06949i 0.182645 0.402469i
\(403\) 5.35744 + 30.3836i 0.266873 + 1.51351i
\(404\) −10.2091 1.80013i −0.507919 0.0895599i
\(405\) −0.726149 + 2.28411i −0.0360826 + 0.113499i
\(406\) 1.51935 + 2.63158i 0.0754038 + 0.130603i
\(407\) −4.65462 + 8.06204i −0.230721 + 0.399620i
\(408\) −0.119416 + 1.54876i −0.00591197 + 0.0766748i
\(409\) −18.5835 22.1469i −0.918894 1.09510i −0.995185 0.0980100i \(-0.968752\pi\)
0.0762911 0.997086i \(-0.475692\pi\)
\(410\) −2.55805 1.47689i −0.126333 0.0729384i
\(411\) −30.6876 7.88439i −1.51371 0.388908i
\(412\) 5.05487 13.8881i 0.249036 0.684220i
\(413\) −2.68135 + 15.2067i −0.131941 + 0.748273i
\(414\) 3.27140 + 16.5491i 0.160780 + 0.813346i
\(415\) −3.53224 + 1.28563i −0.173391 + 0.0631091i
\(416\) 1.91225 2.27894i 0.0937560 0.111734i
\(417\) −2.84486 2.78677i −0.139313 0.136469i
\(418\) 10.1725 + 1.25139i 0.497552 + 0.0612073i
\(419\) 19.2304i 0.939467i 0.882808 + 0.469733i \(0.155650\pi\)
−0.882808 + 0.469733i \(0.844350\pi\)
\(420\) −0.555150 + 0.0543446i −0.0270886 + 0.00265175i
\(421\) −11.8370 32.5219i −0.576900 1.58502i −0.793376 0.608732i \(-0.791678\pi\)
0.216476 0.976288i \(-0.430544\pi\)
\(422\) −13.6823 + 2.41255i −0.666042 + 0.117441i
\(423\) 0.889613 5.73459i 0.0432545 0.278825i
\(424\) −5.40249 1.96634i −0.262368 0.0954941i
\(425\) 3.82830 2.21027i 0.185700 0.107214i
\(426\) −15.8205 + 4.41449i −0.766508 + 0.213883i
\(427\) 0.819655 0.687772i 0.0396659 0.0332836i
\(428\) −12.3860 + 10.3931i −0.598700 + 0.502369i
\(429\) −11.6699 + 3.25632i −0.563430 + 0.157217i
\(430\) 1.10771 0.639535i 0.0534184 0.0308411i
\(431\) −30.2120 10.9963i −1.45526 0.529671i −0.511205 0.859459i \(-0.670801\pi\)
−0.944055 + 0.329788i \(0.893023\pi\)
\(432\) −3.11065 4.16219i −0.149661 0.200254i
\(433\) −22.7212 + 4.00636i −1.09191 + 0.192534i −0.690477 0.723354i \(-0.742599\pi\)
−0.401435 + 0.915888i \(0.631488\pi\)
\(434\) 4.28943 + 11.7851i 0.205899 + 0.565703i
\(435\) −1.15351 + 0.112919i −0.0553064 + 0.00541404i
\(436\) 18.2651i 0.874740i
\(437\) −7.17158 + 23.4380i −0.343063 + 1.12119i
\(438\) −0.422473 0.413847i −0.0201865 0.0197744i
\(439\) 7.57338 9.02561i 0.361458 0.430769i −0.554413 0.832242i \(-0.687057\pi\)
0.915871 + 0.401473i \(0.131502\pi\)
\(440\) −0.588409 + 0.214163i −0.0280513 + 0.0102098i
\(441\) 16.2973 3.22162i 0.776063 0.153410i
\(442\) 0.463295 2.62748i 0.0220367 0.124976i
\(443\) 7.28357 20.0114i 0.346053 0.950772i −0.637548 0.770411i \(-0.720051\pi\)
0.983600 0.180361i \(-0.0577267\pi\)
\(444\) 6.64175 + 1.70643i 0.315204 + 0.0809835i
\(445\) 2.83668 + 1.63776i 0.134471 + 0.0776371i
\(446\) 8.00962 + 9.54549i 0.379266 + 0.451992i
\(447\) −1.04279 + 13.5244i −0.0493224 + 0.639683i
\(448\) 0.604656 1.04730i 0.0285673 0.0494800i
\(449\) −5.96300 10.3282i −0.281411 0.487419i 0.690321 0.723503i \(-0.257469\pi\)
−0.971733 + 0.236084i \(0.924136\pi\)
\(450\) −4.76983 + 13.9968i −0.224852 + 0.659817i
\(451\) −25.6837 4.52874i −1.20940 0.213250i
\(452\) −0.416790 2.36373i −0.0196041 0.111181i
\(453\) −7.96957 + 17.5615i −0.374443 + 0.825110i
\(454\) 1.25592 + 1.05384i 0.0589431 + 0.0494591i
\(455\) 0.958074 0.0449152
\(456\) −1.12608 7.46538i −0.0527336 0.349599i
\(457\) −19.1338 −0.895044 −0.447522 0.894273i \(-0.647693\pi\)
−0.447522 + 0.894273i \(0.647693\pi\)
\(458\) 9.31102 + 7.81288i 0.435076 + 0.365072i
\(459\) −4.28236 1.83782i −0.199883 0.0857820i
\(460\) −0.260034 1.47473i −0.0121242 0.0687595i
\(461\) −29.6765 5.23277i −1.38217 0.243715i −0.567376 0.823459i \(-0.692041\pi\)
−0.814798 + 0.579744i \(0.803152\pi\)
\(462\) −4.44190 + 2.12734i −0.206656 + 0.0989729i
\(463\) 12.7896 + 22.1523i 0.594385 + 1.02950i 0.993633 + 0.112662i \(0.0359378\pi\)
−0.399248 + 0.916843i \(0.630729\pi\)
\(464\) 1.25637 2.17610i 0.0583256 0.101023i
\(465\) −4.76942 0.367743i −0.221176 0.0170537i
\(466\) 1.54847 + 1.84539i 0.0717313 + 0.0854860i
\(467\) −24.6450 14.2288i −1.14044 0.658431i −0.193898 0.981022i \(-0.562113\pi\)
−0.946539 + 0.322591i \(0.895446\pi\)
\(468\) 4.62089 + 7.63543i 0.213601 + 0.352948i
\(469\) −2.11611 + 5.81397i −0.0977131 + 0.268464i
\(470\) −0.0894536 + 0.507317i −0.00412619 + 0.0234008i
\(471\) −20.7717 + 30.3261i −0.957112 + 1.39735i
\(472\) 11.9986 4.36714i 0.552281 0.201014i
\(473\) 7.25924 8.65122i 0.333780 0.397784i
\(474\) 8.28942 8.46221i 0.380746 0.388682i
\(475\) −15.7168 + 14.6494i −0.721134 + 0.672160i
\(476\) 1.08455i 0.0497101i
\(477\) 10.8117 13.4383i 0.495032 0.615298i
\(478\) −6.54821 17.9910i −0.299508 0.822891i
\(479\) 12.1691 2.14575i 0.556022 0.0980417i 0.111426 0.993773i \(-0.464458\pi\)
0.444596 + 0.895731i \(0.353347\pi\)
\(480\) 0.268449 + 0.375091i 0.0122530 + 0.0171205i
\(481\) −11.0679 4.02840i −0.504655 0.183679i
\(482\) −3.63362 + 2.09787i −0.165507 + 0.0955554i
\(483\) −3.16559 11.3448i −0.144039 0.516205i
\(484\) 4.19126 3.51689i 0.190512 0.159859i
\(485\) 1.23285 1.03449i 0.0559810 0.0469736i
\(486\) 14.8293 4.80541i 0.672671 0.217978i
\(487\) 24.3442 14.0551i 1.10314 0.636899i 0.166097 0.986109i \(-0.446883\pi\)
0.937044 + 0.349210i \(0.113550\pi\)
\(488\) −0.831427 0.302615i −0.0376369 0.0136987i
\(489\) 4.90326 3.50922i 0.221733 0.158693i
\(490\) −1.45229 + 0.256078i −0.0656077 + 0.0115684i
\(491\) −1.17147 3.21859i −0.0528678 0.145253i 0.910448 0.413624i \(-0.135737\pi\)
−0.963316 + 0.268371i \(0.913515\pi\)
\(492\) 1.87168 + 19.1199i 0.0843818 + 0.861991i
\(493\) 2.25350i 0.101493i
\(494\) 0.675701 + 12.9498i 0.0304012 + 0.582641i
\(495\) −0.0387486 1.87812i −0.00174162 0.0844151i
\(496\) 6.66618 7.94444i 0.299320 0.356716i
\(497\) 10.7762 3.92222i 0.483379 0.175936i
\(498\) 20.1702 + 13.8155i 0.903847 + 0.619086i
\(499\) 6.64566 37.6894i 0.297500 1.68721i −0.359362 0.933198i \(-0.617006\pi\)
0.656862 0.754010i \(-0.271883\pi\)
\(500\) 0.904364 2.48472i 0.0404444 0.111120i
\(501\) 8.85284 34.4570i 0.395516 1.53942i
\(502\) 3.65031 + 2.10751i 0.162921 + 0.0940626i
\(503\) −10.1578 12.1056i −0.452916 0.539764i 0.490472 0.871457i \(-0.336825\pi\)
−0.943387 + 0.331693i \(0.892380\pi\)
\(504\) 2.38882 + 2.73047i 0.106407 + 0.121625i
\(505\) −1.38034 + 2.39082i −0.0614244 + 0.106390i
\(506\) −6.61088 11.4504i −0.293889 0.509031i
\(507\) 3.10462 + 6.48246i 0.137881 + 0.287896i
\(508\) −5.82811 1.02765i −0.258581 0.0455947i
\(509\) 1.72136 + 9.76234i 0.0762981 + 0.432708i 0.998897 + 0.0469483i \(0.0149496\pi\)
−0.922599 + 0.385760i \(0.873939\pi\)
\(510\) 0.376694 + 0.170948i 0.0166803 + 0.00756969i
\(511\) 0.316310 + 0.265415i 0.0139927 + 0.0117413i
\(512\) −1.00000 −0.0441942
\(513\) 22.2887 + 4.02652i 0.984071 + 0.177775i
\(514\) 17.7732 0.783941
\(515\) −3.01505 2.52993i −0.132859 0.111482i
\(516\) −7.57546 3.43782i −0.333491 0.151342i
\(517\) 0.789817 + 4.47928i 0.0347361 + 0.196998i
\(518\) −4.71512 0.831403i −0.207170 0.0365297i
\(519\) −6.23433 13.0173i −0.273657 0.571397i
\(520\) −0.396123 0.686106i −0.0173712 0.0300877i
\(521\) −6.93036 + 12.0037i −0.303625 + 0.525894i −0.976954 0.213449i \(-0.931530\pi\)
0.673329 + 0.739343i \(0.264864\pi\)
\(522\) 4.96356 + 5.67344i 0.217249 + 0.248320i
\(523\) 24.0581 + 28.6713i 1.05199 + 1.25371i 0.966309 + 0.257386i \(0.0828611\pi\)
0.0856778 + 0.996323i \(0.472694\pi\)
\(524\) 14.9657 + 8.64045i 0.653780 + 0.377460i
\(525\) 2.56915 9.99964i 0.112127 0.436420i
\(526\) −0.383160 + 1.05272i −0.0167066 + 0.0459010i
\(527\) 1.61506 9.15947i 0.0703532 0.398993i
\(528\) 3.36000 + 2.30141i 0.146225 + 0.100156i
\(529\) 8.09973 2.94806i 0.352162 0.128177i
\(530\) −0.984142 + 1.17286i −0.0427484 + 0.0509456i
\(531\) 0.790147 + 38.2978i 0.0342895 + 1.66198i
\(532\) 1.18460 + 5.13644i 0.0513590 + 0.222693i
\(533\) 32.9970i 1.42926i
\(534\) −2.07555 21.2025i −0.0898177 0.917521i
\(535\) 1.47269 + 4.04618i 0.0636699 + 0.174932i
\(536\) 5.03849 0.888422i 0.217630 0.0383740i
\(537\) 12.7125 9.09820i 0.548584 0.392616i
\(538\) 18.2909 + 6.65734i 0.788576 + 0.287018i
\(539\) −11.2761 + 6.51028i −0.485698 + 0.280418i
\(540\) −1.32490 + 0.399327i −0.0570146 + 0.0171843i
\(541\) 6.17119 5.17824i 0.265320 0.222630i −0.500416 0.865785i \(-0.666819\pi\)
0.765736 + 0.643155i \(0.222375\pi\)
\(542\) 0.243639 0.204438i 0.0104652 0.00878135i
\(543\) 4.27996 + 15.3384i 0.183671 + 0.658236i
\(544\) −0.776676 + 0.448414i −0.0332997 + 0.0192256i
\(545\) 4.57078 + 1.66363i 0.195791 + 0.0712620i
\(546\) −3.62657 5.06723i −0.155203 0.216857i
\(547\) 25.2004 4.44352i 1.07749 0.189991i 0.393386 0.919373i \(-0.371303\pi\)
0.684106 + 0.729382i \(0.260192\pi\)
\(548\) −6.25654 17.1897i −0.267266 0.734308i
\(549\) 1.66388 2.06812i 0.0710128 0.0882652i
\(550\) 11.5898i 0.494192i
\(551\) 2.46140 + 10.6726i 0.104859 + 0.454670i
\(552\) −6.81550 + 6.95756i −0.290087 + 0.296133i
\(553\) −5.31631 + 6.33574i −0.226073 + 0.269423i
\(554\) −20.6128 + 7.50244i −0.875753 + 0.318748i
\(555\) 1.03197 1.50665i 0.0438049 0.0639538i
\(556\) 0.399256 2.26430i 0.0169322 0.0960275i
\(557\) 4.99606 13.7266i 0.211690 0.581613i −0.787718 0.616037i \(-0.788737\pi\)
0.999407 + 0.0344238i \(0.0109596\pi\)
\(558\) 16.1086 + 26.6173i 0.681930 + 1.12680i
\(559\) 12.3743 + 7.14431i 0.523377 + 0.302172i
\(560\) −0.207009 0.246703i −0.00874771 0.0104251i
\(561\) 3.64162 + 0.280785i 0.153749 + 0.0118547i
\(562\) −7.54402 + 13.0666i −0.318225 + 0.551182i
\(563\) −12.5968 21.8184i −0.530893 0.919534i −0.999350 0.0360479i \(-0.988523\pi\)
0.468457 0.883486i \(-0.344810\pi\)
\(564\) 3.02179 1.44721i 0.127240 0.0609387i
\(565\) −0.629478 0.110994i −0.0264824 0.00466955i
\(566\) 1.15312 + 6.53969i 0.0484694 + 0.274884i
\(567\) −10.0652 + 4.14115i −0.422699 + 0.173912i
\(568\) −7.26434 6.09550i −0.304805 0.255762i
\(569\) 42.1013 1.76498 0.882490 0.470332i \(-0.155866\pi\)
0.882490 + 0.470332i \(0.155866\pi\)
\(570\) −1.97075 0.398166i −0.0825458 0.0166773i
\(571\) −12.9487 −0.541887 −0.270944 0.962595i \(-0.587336\pi\)
−0.270944 + 0.962595i \(0.587336\pi\)
\(572\) −5.35850 4.49632i −0.224050 0.188000i
\(573\) 5.24837 11.5651i 0.219254 0.483140i
\(574\) −2.32919 13.2095i −0.0972184 0.551353i
\(575\) 27.2958 + 4.81298i 1.13831 + 0.200715i
\(576\) 0.967692 2.83964i 0.0403205 0.118318i
\(577\) 6.43762 + 11.1503i 0.268002 + 0.464192i 0.968346 0.249613i \(-0.0803034\pi\)
−0.700344 + 0.713805i \(0.746970\pi\)
\(578\) 8.09785 14.0259i 0.336826 0.583400i
\(579\) −0.238697 + 3.09576i −0.00991990 + 0.128656i
\(580\) −0.430128 0.512607i −0.0178601 0.0212848i
\(581\) −14.7826 8.53474i −0.613286 0.354081i
\(582\) −10.1381 2.60471i −0.420236 0.107969i
\(583\) −4.62350 + 12.7030i −0.191486 + 0.526103i
\(584\) 0.0592912 0.336257i 0.00245349 0.0139144i
\(585\) 2.33162 0.460910i 0.0964007 0.0190563i
\(586\) −26.6925 + 9.71527i −1.10266 + 0.401334i
\(587\) 11.6998 13.9432i 0.482900 0.575498i −0.468497 0.883465i \(-0.655204\pi\)
0.951397 + 0.307967i \(0.0996486\pi\)
\(588\) 6.85169 + 6.71179i 0.282559 + 0.276790i
\(589\) 2.35551 + 45.1435i 0.0970573 + 1.86011i
\(590\) 3.40038i 0.139992i
\(591\) 13.6402 1.33527i 0.561084 0.0549255i
\(592\) 1.35411 + 3.72039i 0.0556537 + 0.152907i
\(593\) −6.08719 + 1.07334i −0.249971 + 0.0440766i −0.297230 0.954806i \(-0.596063\pi\)
0.0472585 + 0.998883i \(0.484952\pi\)
\(594\) −9.78664 + 7.31412i −0.401551 + 0.300102i
\(595\) −0.271404 0.0987830i −0.0111265 0.00404971i
\(596\) −6.78228 + 3.91575i −0.277813 + 0.160395i
\(597\) −17.4514 + 4.86955i −0.714238 + 0.199298i
\(598\) 12.8147 10.7528i 0.524034 0.439717i
\(599\) −27.9659 + 23.4662i −1.14266 + 0.958803i −0.999522 0.0308999i \(-0.990163\pi\)
−0.143135 + 0.989703i \(0.545718\pi\)
\(600\) −8.22328 + 2.29458i −0.335714 + 0.0936760i
\(601\) 2.01662 1.16430i 0.0822597 0.0474927i −0.458306 0.888795i \(-0.651544\pi\)
0.540566 + 0.841302i \(0.318210\pi\)
\(602\) 5.45804 + 1.98656i 0.222453 + 0.0809663i
\(603\) −2.35291 + 15.1672i −0.0958178 + 0.617657i
\(604\) −10.9652 + 1.93345i −0.446166 + 0.0786712i
\(605\) −0.498339 1.36918i −0.0202604 0.0556649i
\(606\) 17.8700 1.74932i 0.725918 0.0710613i
\(607\) 24.4621i 0.992887i −0.868069 0.496443i \(-0.834639\pi\)
0.868069 0.496443i \(-0.165361\pi\)
\(608\) 3.18858 2.97203i 0.129314 0.120532i
\(609\) −3.75981 3.68304i −0.152355 0.149244i
\(610\) −0.151457 + 0.180499i −0.00613230 + 0.00730819i
\(611\) −5.40766 + 1.96823i −0.218770 + 0.0796259i
\(612\) −0.521753 2.63941i −0.0210906 0.106692i
\(613\) −6.30039 + 35.7313i −0.254470 + 1.44317i 0.542958 + 0.839760i \(0.317304\pi\)
−0.797428 + 0.603414i \(0.793807\pi\)
\(614\) 1.49097 4.09641i 0.0601707 0.165318i
\(615\) 4.95517 + 1.27310i 0.199812 + 0.0513365i
\(616\) −2.46252 1.42174i −0.0992179 0.0572835i
\(617\) −10.3830 12.3740i −0.418006 0.498160i 0.515416 0.856940i \(-0.327637\pi\)
−0.933422 + 0.358780i \(0.883193\pi\)
\(618\) −1.96794 + 25.5230i −0.0791620 + 1.02669i
\(619\) −15.2492 + 26.4123i −0.612916 + 1.06160i 0.377831 + 0.925875i \(0.376670\pi\)
−0.990746 + 0.135726i \(0.956663\pi\)
\(620\) −1.38090 2.39179i −0.0554582 0.0960564i
\(621\) −13.1617 26.0864i −0.528160 1.04681i
\(622\) 4.67465 + 0.824268i 0.187437 + 0.0330501i
\(623\) 2.58289 + 14.6483i 0.103481 + 0.586871i
\(624\) −2.12936 + 4.69219i −0.0852427 + 0.187838i
\(625\) 18.3401 + 15.3891i 0.733602 + 0.615565i
\(626\) −18.9314 −0.756651
\(627\) −17.5535 + 2.64778i −0.701019 + 0.105742i
\(628\) −21.2221 −0.846856
\(629\) 2.71998 + 2.28234i 0.108453 + 0.0910028i
\(630\) 0.900870 0.349098i 0.0358915 0.0139084i
\(631\) −5.03370 28.5475i −0.200388 1.13646i −0.904533 0.426403i \(-0.859781\pi\)
0.704145 0.710056i \(-0.251330\pi\)
\(632\) 6.73529 + 1.18761i 0.267915 + 0.0472407i
\(633\) 21.7033 10.3943i 0.862629 0.413135i
\(634\) −15.6694 27.1401i −0.622310 1.07787i
\(635\) −0.788005 + 1.36486i −0.0312710 + 0.0541630i
\(636\) 9.92845 + 0.765527i 0.393689 + 0.0303551i
\(637\) −10.5892 12.6198i −0.419561 0.500013i
\(638\) −5.11670 2.95413i −0.202572 0.116955i
\(639\) 24.3387 14.7296i 0.962824 0.582692i
\(640\) −0.0910823 + 0.250247i −0.00360035 + 0.00989187i
\(641\) −4.38869 + 24.8895i −0.173343 + 0.983076i 0.766696 + 0.642010i \(0.221899\pi\)
−0.940039 + 0.341066i \(0.889212\pi\)
\(642\) 15.8256 23.1049i 0.624587 0.911879i
\(643\) 11.3227 4.12111i 0.446522 0.162521i −0.108966 0.994046i \(-0.534754\pi\)
0.555488 + 0.831525i \(0.312532\pi\)
\(644\) 4.37103 5.20919i 0.172243 0.205271i
\(645\) −1.55029 + 1.58261i −0.0610428 + 0.0623152i
\(646\) 1.14379 3.73811i 0.0450018 0.147074i
\(647\) 27.8093i 1.09330i 0.837362 + 0.546649i \(0.184097\pi\)
−0.837362 + 0.546649i \(0.815903\pi\)
\(648\) 7.12714 + 5.49580i 0.279981 + 0.215895i
\(649\) −10.2685 28.2126i −0.403075 1.10744i
\(650\) 14.4409 2.54633i 0.566420 0.0998752i
\(651\) −12.6423 17.6645i −0.495492 0.692327i
\(652\) 3.27128 + 1.19065i 0.128113 + 0.0466293i
\(653\) −2.53710 + 1.46480i −0.0992846 + 0.0573220i −0.548820 0.835940i \(-0.684923\pi\)
0.449536 + 0.893262i \(0.351589\pi\)
\(654\) −8.50277 30.4720i −0.332484 1.19155i
\(655\) 3.52536 2.95812i 0.137747 0.115583i
\(656\) −8.49669 + 7.12957i −0.331740 + 0.278363i
\(657\) 0.897474 + 0.493759i 0.0350138 + 0.0192634i
\(658\) −2.02588 + 1.16964i −0.0789771 + 0.0455975i
\(659\) 25.4128 + 9.24952i 0.989944 + 0.360310i 0.785699 0.618610i \(-0.212304\pi\)
0.204245 + 0.978920i \(0.434526\pi\)
\(660\) 0.881957 0.631209i 0.0343301 0.0245698i
\(661\) 13.9832 2.46561i 0.543883 0.0959013i 0.105045 0.994467i \(-0.466501\pi\)
0.438838 + 0.898566i \(0.355390\pi\)
\(662\) 1.26619 + 3.47882i 0.0492118 + 0.135208i
\(663\) 0.450218 + 4.59915i 0.0174850 + 0.178616i
\(664\) 14.1150i 0.547770i
\(665\) 1.39327 + 0.171396i 0.0540288 + 0.00664645i
\(666\) −11.8749 + 0.245000i −0.460145 + 0.00949354i
\(667\) 9.08225 10.8238i 0.351666 0.419099i
\(668\) 19.3011 7.02504i 0.746784 0.271807i
\(669\) −17.8062 12.1963i −0.688428 0.471536i
\(670\) 0.236593 1.34178i 0.00914038 0.0518377i
\(671\) −0.711543 + 1.95495i −0.0274688 + 0.0754700i
\(672\) −0.521223 + 2.02870i −0.0201066 + 0.0782589i
\(673\) −4.68491 2.70483i −0.180590 0.104264i 0.406980 0.913437i \(-0.366582\pi\)
−0.587570 + 0.809173i \(0.699915\pi\)
\(674\) 12.8807 + 15.3506i 0.496146 + 0.591284i
\(675\) 1.44181 25.5716i 0.0554952 0.984253i
\(676\) −2.07487 + 3.59378i −0.0798026 + 0.138222i
\(677\) 11.2154 + 19.4256i 0.431043 + 0.746588i 0.996963 0.0778720i \(-0.0248125\pi\)
−0.565921 + 0.824460i \(0.691479\pi\)
\(678\) 1.79570 + 3.74944i 0.0689636 + 0.143996i
\(679\) 7.19722 + 1.26906i 0.276204 + 0.0487022i
\(680\) 0.0414727 + 0.235203i 0.00159041 + 0.00901964i
\(681\) −2.58585 1.17349i −0.0990901 0.0449681i
\(682\) −18.6799 15.6743i −0.715290 0.600200i
\(683\) −5.63051 −0.215446 −0.107723 0.994181i \(-0.534356\pi\)
−0.107723 + 0.994181i \(0.534356\pi\)
\(684\) 5.35395 + 11.9304i 0.204713 + 0.456172i
\(685\) −4.87153 −0.186131
\(686\) −11.6146 9.74584i −0.443449 0.372098i
\(687\) −19.1708 8.69991i −0.731412 0.331922i
\(688\) −0.834031 4.73003i −0.0317971 0.180331i
\(689\) −16.8437 2.97000i −0.641694 0.113148i
\(690\) 1.12034 + 2.33927i 0.0426504 + 0.0890543i
\(691\) 8.10408 + 14.0367i 0.308294 + 0.533980i 0.977989 0.208655i \(-0.0669087\pi\)
−0.669696 + 0.742636i \(0.733575\pi\)
\(692\) 4.16651 7.21660i 0.158387 0.274334i
\(693\) 6.42019 5.61688i 0.243883 0.213368i
\(694\) 0.183420 + 0.218592i 0.00696254 + 0.00829763i
\(695\) −0.530267 0.306150i −0.0201142 0.0116129i
\(696\) −1.08301 + 4.21529i −0.0410515 + 0.159780i
\(697\) −3.40218 + 9.34740i −0.128867 + 0.354058i
\(698\) 2.42716 13.7651i 0.0918694 0.521017i
\(699\) −3.44240 2.35786i −0.130204 0.0891824i
\(700\) 5.60132 2.03871i 0.211710 0.0770561i
\(701\) −25.1621 + 29.9870i −0.950360 + 1.13260i 0.0406990 + 0.999171i \(0.487042\pi\)
−0.991059 + 0.133424i \(0.957403\pi\)
\(702\) −11.2636 10.5872i −0.425116 0.399589i
\(703\) −15.3748 7.83829i −0.579872 0.295627i
\(704\) 2.35132i 0.0886186i
\(705\) −0.0869287 0.888009i −0.00327392 0.0334443i
\(706\) −7.01582 19.2758i −0.264044 0.725455i
\(707\) −12.3459 + 2.17692i −0.464317 + 0.0818715i
\(708\) −17.9845 + 12.8714i −0.675901 + 0.483736i
\(709\) −0.294067 0.107032i −0.0110439 0.00401966i 0.336492 0.941686i \(-0.390759\pi\)
−0.347536 + 0.937667i \(0.612982\pi\)
\(710\) −2.18703 + 1.26268i −0.0820779 + 0.0473877i
\(711\) −9.89008 + 17.9766i −0.370907 + 0.674174i
\(712\) 9.42217 7.90614i 0.353111 0.296295i
\(713\) 44.6726 37.4847i 1.67300 1.40381i
\(714\) 0.504878 + 1.80937i 0.0188946 + 0.0677140i
\(715\) −1.61325 + 0.931412i −0.0603322 + 0.0348328i
\(716\) 8.48129 + 3.08694i 0.316961 + 0.115364i
\(717\) 19.2997 + 26.9665i 0.720760 + 1.00708i
\(718\) −27.5586 + 4.85932i −1.02848 + 0.181348i
\(719\) 9.97683 + 27.4111i 0.372073 + 1.02226i 0.974559 + 0.224132i \(0.0719548\pi\)
−0.602486 + 0.798130i \(0.705823\pi\)
\(720\) −0.622471 0.500803i −0.0231981 0.0186638i
\(721\) 17.8730i 0.665624i
\(722\) −1.33405 + 18.9531i −0.0496481 + 0.705362i
\(723\) 5.08544 5.19144i 0.189129 0.193072i
\(724\) −5.90976 + 7.04297i −0.219634 + 0.261750i
\(725\) 11.6386 4.23609i 0.432246 0.157325i
\(726\) −5.35519 + 7.81841i −0.198750 + 0.290169i
\(727\) 1.39364 7.90374i 0.0516873 0.293133i −0.947996 0.318281i \(-0.896894\pi\)
0.999684 + 0.0251476i \(0.00800557\pi\)
\(728\) 1.23046 3.38067i 0.0456040 0.125296i
\(729\) −22.5030 + 14.9203i −0.833444 + 0.552604i
\(730\) −0.0787468 0.0454645i −0.00291455 0.00168272i
\(731\) −2.76878 3.29971i −0.102407 0.122044i
\(732\) 1.52796 + 0.117812i 0.0564750 + 0.00435447i
\(733\) −8.60205 + 14.8992i −0.317724 + 0.550314i −0.980013 0.198935i \(-0.936252\pi\)
0.662289 + 0.749249i \(0.269585\pi\)
\(734\) −0.761157 1.31836i −0.0280948 0.0486617i
\(735\) 2.30367 1.10329i 0.0849722 0.0406954i
\(736\) −5.53770 0.976446i −0.204122 0.0359923i
\(737\) −2.08896 11.8471i −0.0769479 0.436393i
\(738\) −12.0232 31.0268i −0.442582 1.14211i
\(739\) −19.8776 16.6793i −0.731210 0.613558i 0.199251 0.979948i \(-0.436149\pi\)
−0.930461 + 0.366390i \(0.880593\pi\)
\(740\) 1.05435 0.0387587
\(741\) −7.15569 21.2899i −0.262871 0.782105i
\(742\) −6.95259 −0.255237
\(743\) 35.8677 + 30.0966i 1.31586 + 1.10414i 0.987166 + 0.159700i \(0.0510527\pi\)
0.328693 + 0.944437i \(0.393392\pi\)
\(744\) −7.42302 + 16.3571i −0.272141 + 0.599680i
\(745\) 0.362158 + 2.05390i 0.0132684 + 0.0752491i
\(746\) −4.70209 0.829106i −0.172156 0.0303557i
\(747\) −40.0817 13.6590i −1.46651 0.499757i
\(748\) 1.05436 + 1.82621i 0.0385514 + 0.0667729i
\(749\) −9.77655 + 16.9335i −0.357227 + 0.618736i
\(750\) −0.352082 + 4.56631i −0.0128562 + 0.166738i
\(751\) −1.93570 2.30687i −0.0706346 0.0841791i 0.729570 0.683906i \(-0.239720\pi\)
−0.800205 + 0.599727i \(0.795276\pi\)
\(752\) 1.67524 + 0.967198i 0.0610895 + 0.0352701i
\(753\) −7.07097 1.81670i −0.257680 0.0662044i
\(754\) 2.55669 7.02444i 0.0931091 0.255815i
\(755\) −0.514892 + 2.92010i −0.0187389 + 0.106273i
\(756\) −5.25641 3.44325i −0.191174 0.125230i
\(757\) 6.18347 2.25060i 0.224742 0.0817994i −0.227195 0.973849i \(-0.572955\pi\)
0.451937 + 0.892050i \(0.350733\pi\)
\(758\) −8.62162 + 10.2748i −0.313151 + 0.373199i
\(759\) 16.3594 + 16.0254i 0.593810 + 0.581685i
\(760\) −0.453318 1.06863i −0.0164436 0.0387633i
\(761\) 12.0756i 0.437741i 0.975754 + 0.218870i \(0.0702372\pi\)
−0.975754 + 0.218870i \(0.929763\pi\)
\(762\) 10.2015 0.998647i 0.369563 0.0361772i
\(763\) 7.55461 + 20.7561i 0.273495 + 0.751422i
\(764\) 7.22112 1.27328i 0.261251 0.0460656i
\(765\) −0.708026 0.109837i −0.0255987 0.00397116i
\(766\) 30.5956 + 11.1359i 1.10546 + 0.402356i
\(767\) 32.8968 18.9930i 1.18784 0.685797i
\(768\) 1.66832 0.465520i 0.0602003 0.0167980i
\(769\) −28.1846 + 23.6497i −1.01636 + 0.852830i −0.989166 0.146800i \(-0.953103\pi\)
−0.0271972 + 0.999630i \(0.508658\pi\)
\(770\) −0.580078 + 0.486743i −0.0209045 + 0.0175410i