Properties

Label 354.2.e.c.85.2
Level 354
Weight 2
Character 354.85
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 85.2
Character \(\chi\) = 354.85
Dual form 354.2.e.c.25.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.796093 - 0.605174i) q^{2} +(-0.468408 + 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(0.697351 - 0.660566i) q^{5} +(0.161782 + 0.986827i) q^{6} +(-1.30774 - 1.53959i) q^{7} +(-0.370138 - 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +O(q^{10})\) \(q+(0.796093 - 0.605174i) q^{2} +(-0.468408 + 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(0.697351 - 0.660566i) q^{5} +(0.161782 + 0.986827i) q^{6} +(-1.30774 - 1.53959i) q^{7} +(-0.370138 - 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +(0.155399 - 0.947890i) q^{10} +(4.44744 - 2.67594i) q^{11} +(0.725995 + 0.687699i) q^{12} +(2.29120 - 3.37927i) q^{13} +(-1.97281 - 0.434248i) q^{14} +(0.256973 + 0.925532i) q^{15} +(-0.856857 - 0.515554i) q^{16} +(-2.44518 + 2.87869i) q^{17} +(-0.947653 - 0.319302i) q^{18} +(6.22394 + 2.87950i) q^{19} +(-0.449927 - 0.848652i) q^{20} +(1.97281 - 0.434248i) q^{21} +(1.92117 - 4.82177i) q^{22} +(2.12741 - 0.716808i) q^{23} +(0.994138 + 0.108119i) q^{24} +(-0.220744 + 4.07138i) q^{25} +(-0.221037 - 4.07679i) q^{26} +(0.994138 - 0.108119i) q^{27} +(-1.83334 + 0.848191i) q^{28} +(-6.35432 - 4.83043i) q^{29} +(0.764682 + 0.581297i) q^{30} +(-8.42910 + 3.89972i) q^{31} +(-0.994138 + 0.108119i) q^{32} +(0.281003 + 5.18280i) q^{33} +(-0.204483 + 3.77147i) q^{34} +(-1.92896 - 0.209787i) q^{35} +(-0.947653 + 0.319302i) q^{36} +(1.87864 - 4.71503i) q^{37} +(6.69744 - 1.47422i) q^{38} +(1.91241 + 3.60718i) q^{39} +(-0.871766 - 0.403322i) q^{40} +(-10.1849 - 3.43170i) q^{41} +(1.30774 - 1.53959i) q^{42} +(10.9026 + 6.55988i) q^{43} +(-1.38858 - 5.00122i) q^{44} +(-0.938087 - 0.206489i) q^{45} +(1.25982 - 1.85810i) q^{46} +(4.18431 + 3.96359i) q^{47} +(0.856857 - 0.515554i) q^{48} +(0.472315 - 2.88099i) q^{49} +(2.28816 + 3.37478i) q^{50} +(-1.39801 - 3.50875i) q^{51} +(-2.64313 - 3.11174i) q^{52} +(0.601170 + 3.66698i) q^{53} +(0.725995 - 0.687699i) q^{54} +(1.33379 - 4.80389i) q^{55} +(-0.946202 + 1.78473i) q^{56} +(-5.45942 + 4.15015i) q^{57} -7.98188 q^{58} +(-7.04595 + 3.05854i) q^{59} +0.960544 q^{60} +(-9.80612 + 7.45442i) q^{61} +(-4.35034 + 8.20561i) q^{62} +(-0.540417 + 1.94641i) q^{63} +(-0.725995 + 0.687699i) q^{64} +(-0.634458 - 3.87002i) q^{65} +(3.36020 + 3.95593i) q^{66} +(4.03271 + 10.1213i) q^{67} +(2.11961 + 3.12619i) q^{68} +(-0.363189 + 2.21535i) q^{69} +(-1.66259 + 1.00035i) q^{70} +(-6.41054 - 6.07239i) q^{71} +(-0.561187 + 0.827689i) q^{72} +(6.37533 + 1.40332i) q^{73} +(-1.35784 - 4.89051i) q^{74} +(-3.49371 - 2.10210i) q^{75} +(4.43963 - 5.22673i) q^{76} +(-9.93597 - 3.34782i) q^{77} +(3.70543 + 1.71431i) q^{78} +(5.15857 + 9.73010i) q^{79} +(-0.938087 + 0.206489i) q^{80} +(-0.370138 + 0.928977i) q^{81} +(-10.1849 + 3.43170i) q^{82} +(-2.12966 - 0.231615i) q^{83} +(0.109363 - 2.01707i) q^{84} +(0.196415 + 3.62266i) q^{85} +(12.6494 - 1.37570i) q^{86} +(7.24416 - 3.35150i) q^{87} +(-4.13205 - 3.14110i) q^{88} +(8.71037 + 6.62145i) q^{89} +(-0.871766 + 0.403322i) q^{90} +(-8.19901 + 0.891696i) q^{91} +(-0.121538 - 2.24163i) q^{92} +(0.502815 - 9.27387i) q^{93} +(5.72976 + 0.623149i) q^{94} +(6.24237 - 2.10330i) q^{95} +(0.370138 - 0.928977i) q^{96} +(0.915829 - 0.201589i) q^{97} +(-1.36750 - 2.57937i) q^{98} +(-4.71069 - 2.17940i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{23}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.796093 0.605174i 0.562923 0.427923i
\(3\) −0.468408 + 0.883512i −0.270436 + 0.510096i
\(4\) 0.267528 0.963550i 0.133764 0.481775i
\(5\) 0.697351 0.660566i 0.311865 0.295414i −0.515717 0.856759i \(-0.672474\pi\)
0.827582 + 0.561345i \(0.189716\pi\)
\(6\) 0.161782 + 0.986827i 0.0660472 + 0.402870i
\(7\) −1.30774 1.53959i −0.494281 0.581912i 0.457300 0.889313i \(-0.348817\pi\)
−0.951580 + 0.307401i \(0.900541\pi\)
\(8\) −0.370138 0.928977i −0.130864 0.328443i
\(9\) −0.561187 0.827689i −0.187062 0.275896i
\(10\) 0.155399 0.947890i 0.0491414 0.299749i
\(11\) 4.44744 2.67594i 1.34095 0.806825i 0.349456 0.936953i \(-0.386366\pi\)
0.991497 + 0.130127i \(0.0415387\pi\)
\(12\) 0.725995 + 0.687699i 0.209577 + 0.198522i
\(13\) 2.29120 3.37927i 0.635465 0.937240i −0.364517 0.931197i \(-0.618766\pi\)
0.999982 0.00604346i \(-0.00192370\pi\)
\(14\) −1.97281 0.434248i −0.527255 0.116058i
\(15\) 0.256973 + 0.925532i 0.0663501 + 0.238971i
\(16\) −0.856857 0.515554i −0.214214 0.128888i
\(17\) −2.44518 + 2.87869i −0.593044 + 0.698185i −0.974036 0.226393i \(-0.927307\pi\)
0.380992 + 0.924578i \(0.375582\pi\)
\(18\) −0.947653 0.319302i −0.223364 0.0752601i
\(19\) 6.22394 + 2.87950i 1.42787 + 0.660603i 0.973180 0.230046i \(-0.0738877\pi\)
0.454691 + 0.890649i \(0.349750\pi\)
\(20\) −0.449927 0.848652i −0.100607 0.189764i
\(21\) 1.97281 0.434248i 0.430502 0.0947607i
\(22\) 1.92117 4.82177i 0.409595 1.02800i
\(23\) 2.12741 0.716808i 0.443596 0.149465i −0.0886349 0.996064i \(-0.528250\pi\)
0.532231 + 0.846599i \(0.321354\pi\)
\(24\) 0.994138 + 0.108119i 0.202928 + 0.0220697i
\(25\) −0.220744 + 4.07138i −0.0441487 + 0.814275i
\(26\) −0.221037 4.07679i −0.0433489 0.799524i
\(27\) 0.994138 0.108119i 0.191322 0.0208075i
\(28\) −1.83334 + 0.848191i −0.346468 + 0.160293i
\(29\) −6.35432 4.83043i −1.17997 0.896988i −0.183672 0.982988i \(-0.558799\pi\)
−0.996295 + 0.0859994i \(0.972592\pi\)
\(30\) 0.764682 + 0.581297i 0.139611 + 0.106130i
\(31\) −8.42910 + 3.89972i −1.51391 + 0.700410i −0.988609 0.150506i \(-0.951910\pi\)
−0.525302 + 0.850916i \(0.676048\pi\)
\(32\) −0.994138 + 0.108119i −0.175740 + 0.0191129i
\(33\) 0.281003 + 5.18280i 0.0489164 + 0.902209i
\(34\) −0.204483 + 3.77147i −0.0350685 + 0.646801i
\(35\) −1.92896 0.209787i −0.326054 0.0354605i
\(36\) −0.947653 + 0.319302i −0.157942 + 0.0532169i
\(37\) 1.87864 4.71503i 0.308847 0.775147i −0.689842 0.723960i \(-0.742320\pi\)
0.998689 0.0511872i \(-0.0163005\pi\)
\(38\) 6.69744 1.47422i 1.08647 0.239150i
\(39\) 1.91241 + 3.60718i 0.306230 + 0.577611i
\(40\) −0.871766 0.403322i −0.137838 0.0637708i
\(41\) −10.1849 3.43170i −1.59062 0.535941i −0.621685 0.783268i \(-0.713551\pi\)
−0.968932 + 0.247326i \(0.920448\pi\)
\(42\) 1.30774 1.53959i 0.201789 0.237565i
\(43\) 10.9026 + 6.55988i 1.66263 + 1.00037i 0.956254 + 0.292537i \(0.0944994\pi\)
0.706377 + 0.707836i \(0.250328\pi\)
\(44\) −1.38858 5.00122i −0.209337 0.753962i
\(45\) −0.938087 0.206489i −0.139842 0.0307815i
\(46\) 1.25982 1.85810i 0.185751 0.273962i
\(47\) 4.18431 + 3.96359i 0.610344 + 0.578149i 0.929164 0.369667i \(-0.120528\pi\)
−0.318820 + 0.947815i \(0.603287\pi\)
\(48\) 0.856857 0.515554i 0.123677 0.0744138i
\(49\) 0.472315 2.88099i 0.0674736 0.411571i
\(50\) 2.28816 + 3.37478i 0.323595 + 0.477266i
\(51\) −1.39801 3.50875i −0.195761 0.491323i
\(52\) −2.64313 3.11174i −0.366536 0.431520i
\(53\) 0.601170 + 3.66698i 0.0825771 + 0.503698i 0.995437 + 0.0954244i \(0.0304208\pi\)
−0.912860 + 0.408274i \(0.866131\pi\)
\(54\) 0.725995 0.687699i 0.0987955 0.0935840i
\(55\) 1.33379 4.80389i 0.179849 0.647757i
\(56\) −0.946202 + 1.78473i −0.126442 + 0.238494i
\(57\) −5.45942 + 4.15015i −0.723118 + 0.549700i
\(58\) −7.98188 −1.04807
\(59\) −7.04595 + 3.05854i −0.917304 + 0.398187i
\(60\) 0.960544 0.124006
\(61\) −9.80612 + 7.45442i −1.25555 + 0.954441i −0.999924 0.0123362i \(-0.996073\pi\)
−0.255621 + 0.966777i \(0.582280\pi\)
\(62\) −4.35034 + 8.20561i −0.552494 + 1.04211i
\(63\) −0.540417 + 1.94641i −0.0680861 + 0.245224i
\(64\) −0.725995 + 0.687699i −0.0907494 + 0.0859624i
\(65\) −0.634458 3.87002i −0.0786948 0.480017i
\(66\) 3.36020 + 3.95593i 0.413612 + 0.486942i
\(67\) 4.03271 + 10.1213i 0.492674 + 1.23652i 0.939701 + 0.341998i \(0.111104\pi\)
−0.447026 + 0.894521i \(0.647517\pi\)
\(68\) 2.11961 + 3.12619i 0.257040 + 0.379106i
\(69\) −0.363189 + 2.21535i −0.0437228 + 0.266697i
\(70\) −1.66259 + 1.00035i −0.198717 + 0.119564i
\(71\) −6.41054 6.07239i −0.760792 0.720660i 0.205345 0.978690i \(-0.434168\pi\)
−0.966137 + 0.258029i \(0.916927\pi\)
\(72\) −0.561187 + 0.827689i −0.0661365 + 0.0975441i
\(73\) 6.37533 + 1.40332i 0.746176 + 0.164246i 0.571754 0.820425i \(-0.306263\pi\)
0.174422 + 0.984671i \(0.444194\pi\)
\(74\) −1.35784 4.89051i −0.157846 0.568510i
\(75\) −3.49371 2.10210i −0.403419 0.242729i
\(76\) 4.43963 5.22673i 0.509260 0.599547i
\(77\) −9.93597 3.34782i −1.13231 0.381519i
\(78\) 3.70543 + 1.71431i 0.419557 + 0.194108i
\(79\) 5.15857 + 9.73010i 0.580385 + 1.09472i 0.983727 + 0.179672i \(0.0575037\pi\)
−0.403342 + 0.915049i \(0.632151\pi\)
\(80\) −0.938087 + 0.206489i −0.104881 + 0.0230861i
\(81\) −0.370138 + 0.928977i −0.0411265 + 0.103220i
\(82\) −10.1849 + 3.43170i −1.12474 + 0.378968i
\(83\) −2.12966 0.231615i −0.233761 0.0254230i −0.00951121 0.999955i \(-0.503028\pi\)
−0.224250 + 0.974532i \(0.571993\pi\)
\(84\) 0.109363 2.01707i 0.0119324 0.220081i
\(85\) 0.196415 + 3.62266i 0.0213042 + 0.392933i
\(86\) 12.6494 1.37570i 1.36402 0.148346i
\(87\) 7.24416 3.35150i 0.776655 0.359319i
\(88\) −4.13205 3.14110i −0.440478 0.334843i
\(89\) 8.71037 + 6.62145i 0.923298 + 0.701873i 0.954680 0.297635i \(-0.0961978\pi\)
−0.0313823 + 0.999507i \(0.509991\pi\)
\(90\) −0.871766 + 0.403322i −0.0918922 + 0.0425139i
\(91\) −8.19901 + 0.891696i −0.859489 + 0.0934751i
\(92\) −0.121538 2.24163i −0.0126712 0.233706i
\(93\) 0.502815 9.27387i 0.0521395 0.961656i
\(94\) 5.72976 + 0.623149i 0.590979 + 0.0642729i
\(95\) 6.24237 2.10330i 0.640454 0.215794i
\(96\) 0.370138 0.928977i 0.0377771 0.0948133i
\(97\) 0.915829 0.201589i 0.0929883 0.0204683i −0.168233 0.985747i \(-0.553806\pi\)
0.261221 + 0.965279i \(0.415875\pi\)
\(98\) −1.36750 2.57937i −0.138138 0.260556i
\(99\) −4.71069 2.17940i −0.473442 0.219038i
\(100\) 3.86392 + 1.30191i 0.386392 + 0.130191i
\(101\) 3.44514 4.05594i 0.342805 0.403581i −0.563561 0.826074i \(-0.690569\pi\)
0.906366 + 0.422493i \(0.138845\pi\)
\(102\) −3.23635 1.94725i −0.320447 0.192806i
\(103\) 1.22511 + 4.41246i 0.120714 + 0.434773i 0.999065 0.0432446i \(-0.0137695\pi\)
−0.878351 + 0.478017i \(0.841356\pi\)
\(104\) −3.98732 0.877676i −0.390989 0.0860632i
\(105\) 1.08889 1.60599i 0.106265 0.156729i
\(106\) 2.69775 + 2.55544i 0.262028 + 0.248206i
\(107\) −4.72775 + 2.84460i −0.457049 + 0.274997i −0.725405 0.688323i \(-0.758347\pi\)
0.268356 + 0.963320i \(0.413520\pi\)
\(108\) 0.161782 0.986827i 0.0155675 0.0949574i
\(109\) −0.267578 0.394648i −0.0256294 0.0378005i 0.814659 0.579941i \(-0.196924\pi\)
−0.840288 + 0.542141i \(0.817614\pi\)
\(110\) −1.84537 4.63152i −0.175949 0.441598i
\(111\) 3.28582 + 3.86836i 0.311876 + 0.367169i
\(112\) 0.326806 + 1.99343i 0.0308802 + 0.188361i
\(113\) 5.04897 4.78263i 0.474967 0.449912i −0.412382 0.911011i \(-0.635303\pi\)
0.887349 + 0.461099i \(0.152545\pi\)
\(114\) −1.83465 + 6.60780i −0.171831 + 0.618878i
\(115\) 1.01005 1.90516i 0.0941879 0.177657i
\(116\) −6.35432 + 4.83043i −0.589984 + 0.448494i
\(117\) −4.08277 −0.377453
\(118\) −3.75828 + 6.69890i −0.345978 + 0.616684i
\(119\) 7.62969 0.699412
\(120\) 0.764682 0.581297i 0.0698056 0.0530649i
\(121\) 7.46660 14.0835i 0.678782 1.28032i
\(122\) −3.29536 + 11.8688i −0.298348 + 1.07455i
\(123\) 7.80265 7.39106i 0.703541 0.666430i
\(124\) 1.50255 + 9.16514i 0.134933 + 0.823054i
\(125\) 5.64469 + 6.64544i 0.504876 + 0.594387i
\(126\) 0.747692 + 1.87657i 0.0666097 + 0.167178i
\(127\) 6.66246 + 9.82639i 0.591197 + 0.871951i 0.999157 0.0410490i \(-0.0130700\pi\)
−0.407960 + 0.913000i \(0.633760\pi\)
\(128\) −0.161782 + 0.986827i −0.0142996 + 0.0872240i
\(129\) −10.9026 + 6.55988i −0.959921 + 0.577565i
\(130\) −2.84713 2.69694i −0.249709 0.236537i
\(131\) 6.38257 9.41359i 0.557648 0.822469i −0.439476 0.898254i \(-0.644836\pi\)
0.997124 + 0.0757851i \(0.0241463\pi\)
\(132\) 5.06906 + 1.11578i 0.441205 + 0.0971166i
\(133\) −3.70606 13.3480i −0.321356 1.15742i
\(134\) 9.33559 + 5.61704i 0.806472 + 0.485238i
\(135\) 0.621843 0.732090i 0.0535197 0.0630083i
\(136\) 3.57929 + 1.20600i 0.306922 + 0.103414i
\(137\) −2.54033 1.17528i −0.217035 0.100411i 0.308359 0.951270i \(-0.400220\pi\)
−0.525394 + 0.850859i \(0.676082\pi\)
\(138\) 1.05154 + 1.98342i 0.0895132 + 0.168840i
\(139\) 8.32869 1.83328i 0.706431 0.155497i 0.152797 0.988258i \(-0.451172\pi\)
0.553634 + 0.832760i \(0.313241\pi\)
\(140\) −0.718192 + 1.80253i −0.0606983 + 0.152341i
\(141\) −5.46184 + 1.84031i −0.459970 + 0.154982i
\(142\) −8.77824 0.954692i −0.736654 0.0801159i
\(143\) 1.14727 21.1602i 0.0959397 1.76950i
\(144\) 0.0541389 + 0.998533i 0.00451158 + 0.0832111i
\(145\) −7.62200 + 0.828943i −0.632973 + 0.0688400i
\(146\) 5.92460 2.74101i 0.490324 0.226848i
\(147\) 2.32416 + 1.76678i 0.191693 + 0.145721i
\(148\) −4.04058 3.07157i −0.332134 0.252481i
\(149\) −8.58200 + 3.97046i −0.703065 + 0.325272i −0.738645 0.674094i \(-0.764534\pi\)
0.0355804 + 0.999367i \(0.488672\pi\)
\(150\) −4.05345 + 0.440840i −0.330963 + 0.0359944i
\(151\) −0.872537 16.0930i −0.0710061 1.30963i −0.789351 0.613943i \(-0.789583\pi\)
0.718344 0.695688i \(-0.244900\pi\)
\(152\) 0.371272 6.84771i 0.0301141 0.555423i
\(153\) 3.75486 + 0.408366i 0.303563 + 0.0330144i
\(154\) −9.93597 + 3.34782i −0.800663 + 0.269775i
\(155\) −3.30202 + 8.28744i −0.265225 + 0.665664i
\(156\) 3.98732 0.877676i 0.319241 0.0702703i
\(157\) 1.62097 + 3.05747i 0.129367 + 0.244013i 0.939731 0.341914i \(-0.111075\pi\)
−0.810364 + 0.585927i \(0.800730\pi\)
\(158\) 9.99511 + 4.62423i 0.795168 + 0.367884i
\(159\) −3.52141 1.18650i −0.279266 0.0940957i
\(160\) −0.621843 + 0.732090i −0.0491610 + 0.0578768i
\(161\) −3.88570 2.33795i −0.306236 0.184256i
\(162\) 0.267528 + 0.963550i 0.0210190 + 0.0757036i
\(163\) −11.8607 2.61073i −0.929001 0.204489i −0.275401 0.961329i \(-0.588811\pi\)
−0.653599 + 0.756841i \(0.726742\pi\)
\(164\) −6.03137 + 8.89560i −0.470971 + 0.694630i
\(165\) 3.61954 + 3.42861i 0.281781 + 0.266917i
\(166\) −1.83558 + 1.10443i −0.142468 + 0.0857204i
\(167\) 1.09145 6.65753i 0.0844587 0.515175i −0.910386 0.413761i \(-0.864215\pi\)
0.994844 0.101414i \(-0.0323368\pi\)
\(168\) −1.13362 1.67196i −0.0874605 0.128995i
\(169\) −1.35805 3.40846i −0.104466 0.262189i
\(170\) 2.34870 + 2.76511i 0.180137 + 0.212074i
\(171\) −1.10946 6.76743i −0.0848428 0.517518i
\(172\) 9.23753 8.75025i 0.704355 0.667200i
\(173\) −2.72605 + 9.81836i −0.207258 + 0.746476i 0.784696 + 0.619880i \(0.212819\pi\)
−0.991954 + 0.126596i \(0.959595\pi\)
\(174\) 3.73878 7.05209i 0.283436 0.534617i
\(175\) 6.55694 4.98446i 0.495658 0.376790i
\(176\) −5.19041 −0.391242
\(177\) 0.598128 7.65782i 0.0449580 0.575597i
\(178\) 10.9414 0.820092
\(179\) 0.868873 0.660500i 0.0649426 0.0493681i −0.572199 0.820115i \(-0.693910\pi\)
0.637142 + 0.770747i \(0.280117\pi\)
\(180\) −0.449927 + 0.848652i −0.0335356 + 0.0632548i
\(181\) −0.873265 + 3.14522i −0.0649093 + 0.233782i −0.988888 0.148661i \(-0.952504\pi\)
0.923979 + 0.382444i \(0.124917\pi\)
\(182\) −5.98754 + 5.67170i −0.443826 + 0.420414i
\(183\) −1.99280 12.1555i −0.147312 0.898563i
\(184\) −1.45333 1.71100i −0.107141 0.126136i
\(185\) −1.80452 4.52900i −0.132671 0.332979i
\(186\) −5.21202 7.68716i −0.382164 0.563650i
\(187\) −3.17161 + 19.3460i −0.231931 + 1.41472i
\(188\) 4.93853 2.97142i 0.360180 0.216713i
\(189\) −1.46654 1.38918i −0.106675 0.101048i
\(190\) 3.69665 5.45214i 0.268183 0.395540i
\(191\) −19.2951 4.24717i −1.39614 0.307314i −0.547733 0.836653i \(-0.684509\pi\)
−0.848410 + 0.529339i \(0.822440\pi\)
\(192\) −0.267528 0.963550i −0.0193072 0.0695382i
\(193\) −3.24758 1.95400i −0.233766 0.140652i 0.393852 0.919174i \(-0.371142\pi\)
−0.627618 + 0.778522i \(0.715970\pi\)
\(194\) 0.607088 0.714720i 0.0435864 0.0513139i
\(195\) 3.71640 + 1.25220i 0.266137 + 0.0896719i
\(196\) −2.64962 1.22585i −0.189259 0.0875605i
\(197\) −7.02230 13.2455i −0.500318 0.943701i −0.997120 0.0758367i \(-0.975837\pi\)
0.496802 0.867864i \(-0.334508\pi\)
\(198\) −5.06906 + 1.11578i −0.360243 + 0.0792954i
\(199\) 1.56321 3.92337i 0.110813 0.278120i −0.863103 0.505028i \(-0.831482\pi\)
0.973916 + 0.226908i \(0.0728615\pi\)
\(200\) 3.86392 1.30191i 0.273220 0.0920586i
\(201\) −10.8313 1.17797i −0.763980 0.0830878i
\(202\) 0.288107 5.31382i 0.0202711 0.373879i
\(203\) 0.872919 + 16.1000i 0.0612669 + 1.13000i
\(204\) −3.75486 + 0.408366i −0.262893 + 0.0285913i
\(205\) −9.36932 + 4.33471i −0.654382 + 0.302749i
\(206\) 3.64561 + 2.77132i 0.254002 + 0.193087i
\(207\) −1.78717 1.35857i −0.124217 0.0944272i
\(208\) −3.70543 + 1.71431i −0.256925 + 0.118866i
\(209\) 35.3860 3.84846i 2.44770 0.266203i
\(210\) −0.105048 1.93749i −0.00724897 0.133699i
\(211\) 1.53529 28.3167i 0.105694 1.94940i −0.164010 0.986459i \(-0.552443\pi\)
0.269703 0.962943i \(-0.413074\pi\)
\(212\) 3.69415 + 0.401763i 0.253715 + 0.0275932i
\(213\) 8.36778 2.81943i 0.573351 0.193184i
\(214\) −2.04226 + 5.12568i −0.139606 + 0.350384i
\(215\) 11.9362 2.62735i 0.814040 0.179184i
\(216\) −0.468408 0.883512i −0.0318712 0.0601154i
\(217\) 17.0271 + 7.87757i 1.15587 + 0.534764i
\(218\) −0.451848 0.152245i −0.0306030 0.0103114i
\(219\) −4.22610 + 4.97535i −0.285574 + 0.336203i
\(220\) −4.27196 2.57035i −0.288016 0.173293i
\(221\) 4.12546 + 14.8586i 0.277509 + 0.999496i
\(222\) 4.95685 + 1.09109i 0.332682 + 0.0732289i
\(223\) −2.94776 + 4.34761i −0.197396 + 0.291138i −0.913486 0.406871i \(-0.866620\pi\)
0.716089 + 0.698009i \(0.245930\pi\)
\(224\) 1.46654 + 1.38918i 0.0979871 + 0.0928183i
\(225\) 3.49371 2.10210i 0.232914 0.140140i
\(226\) 1.12512 6.86293i 0.0748418 0.456515i
\(227\) 14.4637 + 21.3324i 0.959992 + 1.41588i 0.908818 + 0.417193i \(0.136986\pi\)
0.0511745 + 0.998690i \(0.483704\pi\)
\(228\) 2.53832 + 6.37071i 0.168104 + 0.421910i
\(229\) −15.7972 18.5979i −1.04391 1.22898i −0.972833 0.231510i \(-0.925633\pi\)
−0.0710733 0.997471i \(-0.522642\pi\)
\(230\) −0.348859 2.12794i −0.0230031 0.140312i
\(231\) 7.61193 7.21040i 0.500828 0.474410i
\(232\) −2.13538 + 7.69094i −0.140195 + 0.504935i
\(233\) −3.96374 + 7.47640i −0.259673 + 0.489795i −0.978729 0.205157i \(-0.934230\pi\)
0.719056 + 0.694952i \(0.244574\pi\)
\(234\) −3.25027 + 2.47079i −0.212477 + 0.161521i
\(235\) 5.53614 0.361138
\(236\) 1.06206 + 7.60737i 0.0691343 + 0.495197i
\(237\) −11.0130 −0.715370
\(238\) 6.07394 4.61729i 0.393715 0.299295i
\(239\) 10.2979 19.4239i 0.666116 1.25643i −0.288183 0.957575i \(-0.593051\pi\)
0.954299 0.298853i \(-0.0966041\pi\)
\(240\) 0.256973 0.925532i 0.0165875 0.0597429i
\(241\) −5.87331 + 5.56350i −0.378333 + 0.358376i −0.853111 0.521729i \(-0.825287\pi\)
0.474778 + 0.880106i \(0.342528\pi\)
\(242\) −2.57886 15.7304i −0.165776 1.01119i
\(243\) −0.647386 0.762162i −0.0415298 0.0488927i
\(244\) 4.55929 + 11.4430i 0.291879 + 0.732560i
\(245\) −1.57372 2.32106i −0.100541 0.148287i
\(246\) 1.73875 10.6059i 0.110859 0.676210i
\(247\) 23.9909 14.4349i 1.52650 0.918468i
\(248\) 6.74268 + 6.38700i 0.428161 + 0.405575i
\(249\) 1.20219 1.77309i 0.0761854 0.112365i
\(250\) 8.51535 + 1.87437i 0.538558 + 0.118546i
\(251\) 4.36879 + 15.7349i 0.275755 + 0.993181i 0.963605 + 0.267328i \(0.0861409\pi\)
−0.687850 + 0.725853i \(0.741445\pi\)
\(252\) 1.73088 + 1.04144i 0.109035 + 0.0656044i
\(253\) 7.54340 8.88078i 0.474250 0.558330i
\(254\) 11.2506 + 3.79077i 0.705926 + 0.237854i
\(255\) −3.29267 1.52335i −0.206195 0.0953958i
\(256\) 0.468408 + 0.883512i 0.0292755 + 0.0552195i
\(257\) −18.2361 + 4.01407i −1.13754 + 0.250391i −0.743521 0.668713i \(-0.766846\pi\)
−0.394016 + 0.919104i \(0.628915\pi\)
\(258\) −4.70962 + 11.8202i −0.293208 + 0.735897i
\(259\) −9.71602 + 3.27371i −0.603724 + 0.203418i
\(260\) −3.89870 0.424009i −0.241787 0.0262959i
\(261\) −0.432130 + 7.97017i −0.0267482 + 0.493341i
\(262\) −0.615740 11.3567i −0.0380406 0.701617i
\(263\) 4.15407 0.451782i 0.256151 0.0278581i 0.0208573 0.999782i \(-0.493360\pi\)
0.235293 + 0.971924i \(0.424395\pi\)
\(264\) 4.71069 2.17940i 0.289923 0.134133i
\(265\) 2.84151 + 2.16006i 0.174552 + 0.132691i
\(266\) −11.0282 8.38344i −0.676184 0.514022i
\(267\) −9.93014 + 4.59417i −0.607715 + 0.281159i
\(268\) 10.8313 1.17797i 0.661626 0.0719562i
\(269\) 1.04028 + 19.1868i 0.0634268 + 1.16984i 0.840996 + 0.541042i \(0.181970\pi\)
−0.777569 + 0.628798i \(0.783547\pi\)
\(270\) 0.0520028 0.959135i 0.00316479 0.0583711i
\(271\) −3.90407 0.424593i −0.237155 0.0257922i −0.0112305 0.999937i \(-0.503575\pi\)
−0.225925 + 0.974145i \(0.572540\pi\)
\(272\) 3.57929 1.20600i 0.217026 0.0731247i
\(273\) 3.05266 7.66160i 0.184755 0.463701i
\(274\) −2.73358 + 0.601707i −0.165142 + 0.0363505i
\(275\) 9.91300 + 18.6979i 0.597776 + 1.12753i
\(276\) 2.03744 + 0.942620i 0.122639 + 0.0567390i
\(277\) 3.05510 + 1.02938i 0.183563 + 0.0618496i 0.409582 0.912273i \(-0.365675\pi\)
−0.226019 + 0.974123i \(0.572571\pi\)
\(278\) 5.52096 6.49978i 0.331125 0.389831i
\(279\) 7.95806 + 4.78820i 0.476436 + 0.286662i
\(280\) 0.519094 + 1.86961i 0.0310218 + 0.111730i
\(281\) −9.92481 2.18462i −0.592065 0.130323i −0.0911757 0.995835i \(-0.529063\pi\)
−0.500889 + 0.865512i \(0.666994\pi\)
\(282\) −3.23443 + 4.77042i −0.192607 + 0.284075i
\(283\) 1.81892 + 1.72297i 0.108123 + 0.102420i 0.739852 0.672770i \(-0.234896\pi\)
−0.631728 + 0.775190i \(0.717654\pi\)
\(284\) −7.56605 + 4.55234i −0.448963 + 0.270132i
\(285\) −1.06569 + 6.50041i −0.0631260 + 0.385051i
\(286\) −11.8923 17.5398i −0.703205 1.03715i
\(287\) 8.03584 + 20.1684i 0.474340 + 1.19050i
\(288\) 0.647386 + 0.762162i 0.0381476 + 0.0449108i
\(289\) 0.442349 + 2.69821i 0.0260205 + 0.158718i
\(290\) −5.56617 + 5.27256i −0.326857 + 0.309615i
\(291\) −0.250875 + 0.903572i −0.0147066 + 0.0529683i
\(292\) 3.05775 5.76752i 0.178941 0.337519i
\(293\) −15.6155 + 11.8706i −0.912268 + 0.693488i −0.952122 0.305717i \(-0.901104\pi\)
0.0398540 + 0.999206i \(0.487311\pi\)
\(294\) 2.91945 0.170266
\(295\) −2.89313 + 6.78718i −0.168445 + 0.395165i
\(296\) −5.07551 −0.295008
\(297\) 4.13205 3.14110i 0.239766 0.182265i
\(298\) −4.42925 + 8.35446i −0.256580 + 0.483961i
\(299\) 2.45204 8.83144i 0.141805 0.510735i
\(300\) −2.96014 + 2.80399i −0.170904 + 0.161889i
\(301\) −4.15826 25.3642i −0.239678 1.46197i
\(302\) −10.4337 12.2835i −0.600392 0.706836i
\(303\) 1.96974 + 4.94366i 0.113158 + 0.284006i
\(304\) −3.84849 5.67610i −0.220726 0.325547i
\(305\) −1.91417 + 11.6759i −0.109605 + 0.668562i
\(306\) 3.23635 1.94725i 0.185010 0.111317i
\(307\) −18.4259 17.4539i −1.05162 0.996147i −0.0516223 0.998667i \(-0.516439\pi\)
−0.999997 + 0.00252009i \(0.999198\pi\)
\(308\) −5.88394 + 8.67817i −0.335269 + 0.494485i
\(309\) −4.47231 0.984431i −0.254421 0.0560023i
\(310\) 2.38663 + 8.59587i 0.135552 + 0.488213i
\(311\) 20.4043 + 12.2768i 1.15702 + 0.696156i 0.958822 0.284007i \(-0.0916638\pi\)
0.198197 + 0.980162i \(0.436491\pi\)
\(312\) 2.64313 3.11174i 0.149638 0.176167i
\(313\) 9.00282 + 3.03340i 0.508869 + 0.171458i 0.562012 0.827129i \(-0.310027\pi\)
−0.0531429 + 0.998587i \(0.516924\pi\)
\(314\) 3.14074 + 1.45306i 0.177242 + 0.0820011i
\(315\) 0.908869 + 1.71431i 0.0512090 + 0.0965903i
\(316\) 10.7555 2.36746i 0.605044 0.133180i
\(317\) 8.08876 20.3013i 0.454310 1.14023i −0.506306 0.862354i \(-0.668989\pi\)
0.960616 0.277879i \(-0.0896313\pi\)
\(318\) −3.52141 + 1.18650i −0.197471 + 0.0665357i
\(319\) −41.1864 4.47929i −2.30599 0.250792i
\(320\) −0.0520028 + 0.959135i −0.00290705 + 0.0536173i
\(321\) −0.298714 5.50946i −0.0166726 0.307508i
\(322\) −4.50825 + 0.490302i −0.251235 + 0.0273234i
\(323\) −23.5079 + 10.8759i −1.30801 + 0.605151i
\(324\) 0.796093 + 0.605174i 0.0442274 + 0.0336208i
\(325\) 13.2525 + 10.0743i 0.735116 + 0.558821i
\(326\) −11.0222 + 5.09939i −0.610461 + 0.282429i
\(327\) 0.474013 0.0515520i 0.0262130 0.00285083i
\(328\) 0.581859 + 10.7318i 0.0321278 + 0.592562i
\(329\) 0.630316 11.6255i 0.0347504 0.640934i
\(330\) 4.95639 + 0.539040i 0.272840 + 0.0296732i
\(331\) −4.83281 + 1.62836i −0.265636 + 0.0895030i −0.448968 0.893548i \(-0.648208\pi\)
0.183332 + 0.983051i \(0.441312\pi\)
\(332\) −0.792917 + 1.99007i −0.0435170 + 0.109219i
\(333\) −4.95685 + 1.09109i −0.271634 + 0.0597911i
\(334\) −3.16007 5.96053i −0.172912 0.326146i
\(335\) 9.49803 + 4.39426i 0.518933 + 0.240084i
\(336\) −1.91429 0.645001i −0.104433 0.0351877i
\(337\) 21.0432 24.7740i 1.14630 1.34953i 0.218769 0.975777i \(-0.429796\pi\)
0.927529 0.373750i \(-0.121928\pi\)
\(338\) −3.14385 1.89159i −0.171003 0.102889i
\(339\) 1.86054 + 6.70105i 0.101050 + 0.363951i
\(340\) 3.54316 + 0.779909i 0.192155 + 0.0422965i
\(341\) −27.0525 + 39.8995i −1.46498 + 2.16068i
\(342\) −4.97871 4.71608i −0.269218 0.255017i
\(343\) −17.1694 + 10.3305i −0.927061 + 0.557794i
\(344\) 2.05851 12.5563i 0.110987 0.676992i
\(345\) 1.21012 + 1.78479i 0.0651504 + 0.0960897i
\(346\) 3.77163 + 9.46606i 0.202764 + 0.508899i
\(347\) −4.11192 4.84093i −0.220739 0.259875i 0.640634 0.767846i \(-0.278671\pi\)
−0.861374 + 0.507971i \(0.830396\pi\)
\(348\) −1.29132 7.87673i −0.0692223 0.422237i
\(349\) −7.30186 + 6.91668i −0.390859 + 0.370242i −0.857744 0.514076i \(-0.828135\pi\)
0.466885 + 0.884318i \(0.345376\pi\)
\(350\) 2.20347 7.93619i 0.117781 0.424207i
\(351\) 1.91241 3.60718i 0.102077 0.192537i
\(352\) −4.13205 + 3.14110i −0.220239 + 0.167421i
\(353\) 3.56993 0.190008 0.0950042 0.995477i \(-0.469714\pi\)
0.0950042 + 0.995477i \(0.469714\pi\)
\(354\) −4.15815 6.45831i −0.221003 0.343255i
\(355\) −8.48161 −0.450157
\(356\) 8.71037 6.62145i 0.461649 0.350936i
\(357\) −3.57381 + 6.74092i −0.189146 + 0.356767i
\(358\) 0.291986 1.05164i 0.0154319 0.0555808i
\(359\) 1.43730 1.36148i 0.0758579 0.0718564i −0.648831 0.760932i \(-0.724742\pi\)
0.724689 + 0.689076i \(0.241983\pi\)
\(360\) 0.155399 + 0.947890i 0.00819023 + 0.0499582i
\(361\) 18.1456 + 21.3626i 0.955031 + 1.12435i
\(362\) 1.20820 + 3.03236i 0.0635018 + 0.159377i
\(363\) 8.94552 + 13.1937i 0.469518 + 0.692488i
\(364\) −1.33427 + 8.13871i −0.0699349 + 0.426584i
\(365\) 5.37282 3.23272i 0.281226 0.169208i
\(366\) −8.94267 8.47095i −0.467441 0.442784i
\(367\) −9.83129 + 14.5001i −0.513189 + 0.756897i −0.992696 0.120641i \(-0.961505\pi\)
0.479507 + 0.877538i \(0.340815\pi\)
\(368\) −2.19244 0.482593i −0.114289 0.0251569i
\(369\) 2.87527 + 10.3558i 0.149680 + 0.539100i
\(370\) −4.17740 2.51346i −0.217173 0.130668i
\(371\) 4.85948 5.72102i 0.252292 0.297021i
\(372\) −8.80132 2.96551i −0.456327 0.153755i
\(373\) 27.3138 + 12.6367i 1.41426 + 0.654304i 0.970336 0.241762i \(-0.0777254\pi\)
0.443920 + 0.896067i \(0.353587\pi\)
\(374\) 9.18278 + 17.3206i 0.474830 + 0.895625i
\(375\) −8.51535 + 1.87437i −0.439731 + 0.0967921i
\(376\) 2.13331 5.35420i 0.110017 0.276122i
\(377\) −30.8823 + 10.4055i −1.59052 + 0.535909i
\(378\) −2.00819 0.218404i −0.103290 0.0112335i
\(379\) −1.21608 + 22.4293i −0.0624658 + 1.15211i 0.784382 + 0.620278i \(0.212980\pi\)
−0.846848 + 0.531835i \(0.821503\pi\)
\(380\) −0.356623 6.57753i −0.0182944 0.337420i
\(381\) −11.8025 + 1.28360i −0.604660 + 0.0657607i
\(382\) −17.9310 + 8.29574i −0.917428 + 0.424447i
\(383\) −16.4057 12.4713i −0.838291 0.637252i 0.0953574 0.995443i \(-0.469601\pi\)
−0.933648 + 0.358191i \(0.883394\pi\)
\(384\) −0.796093 0.605174i −0.0406255 0.0308827i
\(385\) −9.14031 + 4.22876i −0.465833 + 0.215517i
\(386\) −3.76789 + 0.409782i −0.191780 + 0.0208574i
\(387\) −0.688861 12.7053i −0.0350167 0.645846i
\(388\) 0.0507689 0.936377i 0.00257740 0.0475374i
\(389\) 33.3704 + 3.62925i 1.69195 + 0.184010i 0.902760 0.430144i \(-0.141537\pi\)
0.789186 + 0.614154i \(0.210503\pi\)
\(390\) 3.71640 1.25220i 0.188187 0.0634076i
\(391\) −3.13844 + 7.87688i −0.158718 + 0.398351i
\(392\) −2.85120 + 0.627596i −0.144007 + 0.0316984i
\(393\) 5.32737 + 10.0485i 0.268730 + 0.506879i
\(394\) −13.6062 6.29491i −0.685472 0.317133i
\(395\) 10.0247 + 3.37772i 0.504398 + 0.169951i
\(396\) −3.36020 + 3.95593i −0.168856 + 0.198793i
\(397\) −24.4934 14.7372i −1.22929 0.739638i −0.255436 0.966826i \(-0.582219\pi\)
−0.973851 + 0.227188i \(0.927047\pi\)
\(398\) −1.12986 4.06938i −0.0566347 0.203980i
\(399\) 13.5291 + 2.97797i 0.677301 + 0.149085i
\(400\) 2.28816 3.37478i 0.114408 0.168739i
\(401\) −21.6734 20.5301i −1.08232 1.02523i −0.999589 0.0286536i \(-0.990878\pi\)
−0.0827282 0.996572i \(-0.526363\pi\)
\(402\) −9.33559 + 5.61704i −0.465617 + 0.280152i
\(403\) −6.13457 + 37.4192i −0.305585 + 1.86398i
\(404\) −2.98642 4.40465i −0.148580 0.219139i
\(405\) 0.355534 + 0.892323i 0.0176666 + 0.0443399i
\(406\) 10.4383 + 12.2889i 0.518042 + 0.609886i
\(407\) −4.26198 25.9970i −0.211259 1.28862i
\(408\) −2.74209 + 2.59744i −0.135754 + 0.128593i
\(409\) −0.317645 + 1.14405i −0.0157065 + 0.0565699i −0.970988 0.239128i \(-0.923138\pi\)
0.955281 + 0.295698i \(0.0955522\pi\)
\(410\) −4.83560 + 9.12090i −0.238813 + 0.450449i
\(411\) 2.22828 1.69390i 0.109913 0.0835538i
\(412\) 4.57938 0.225610
\(413\) 13.9232 + 6.84812i 0.685116 + 0.336974i
\(414\) −2.24493 −0.110332
\(415\) −1.63812 + 1.24526i −0.0804120 + 0.0611276i
\(416\) −1.91241 + 3.60718i −0.0937634 + 0.176857i
\(417\) −2.28150 + 8.21723i −0.111726 + 0.402399i
\(418\) 25.8415 24.4784i 1.26395 1.19728i
\(419\) −4.90086 29.8939i −0.239423 1.46041i −0.783506 0.621384i \(-0.786571\pi\)
0.544084 0.839031i \(-0.316877\pi\)
\(420\) −1.25615 1.47885i −0.0612936 0.0721604i
\(421\) −9.56625 24.0095i −0.466230 1.17015i −0.954700 0.297569i \(-0.903824\pi\)
0.488470 0.872581i \(-0.337555\pi\)
\(422\) −15.9143 23.4718i −0.774696 1.14259i
\(423\) 0.932438 5.68762i 0.0453367 0.276541i
\(424\) 3.18402 1.91576i 0.154630 0.0930376i
\(425\) −11.1805 10.5907i −0.542332 0.513725i
\(426\) 4.95528 7.30850i 0.240084 0.354098i
\(427\) 24.3007 + 5.34899i 1.17599 + 0.258856i
\(428\) 1.47610 + 5.31644i 0.0713501 + 0.256980i
\(429\) 18.1579 + 10.9252i 0.876671 + 0.527476i
\(430\) 7.91230 9.31508i 0.381565 0.449213i
\(431\) −0.761408 0.256548i −0.0366757 0.0123575i 0.300904 0.953654i \(-0.402712\pi\)
−0.337580 + 0.941297i \(0.609608\pi\)
\(432\) −0.907575 0.419889i −0.0436657 0.0202019i
\(433\) 2.48542 + 4.68800i 0.119442 + 0.225291i 0.936022 0.351940i \(-0.114478\pi\)
−0.816581 + 0.577231i \(0.804133\pi\)
\(434\) 18.3225 4.03308i 0.879506 0.193594i
\(435\) 2.83783 7.12242i 0.136064 0.341494i
\(436\) −0.451848 + 0.152245i −0.0216396 + 0.00729123i
\(437\) 15.3049 + 1.66451i 0.732134 + 0.0796244i
\(438\) −0.353416 + 6.51837i −0.0168869 + 0.311460i
\(439\) 0.534245 + 9.85358i 0.0254981 + 0.470285i 0.983201 + 0.182526i \(0.0584275\pi\)
−0.957703 + 0.287759i \(0.907090\pi\)
\(440\) −4.95639 + 0.539040i −0.236287 + 0.0256977i
\(441\) −2.64962 + 1.22585i −0.126173 + 0.0583737i
\(442\) 12.2763 + 9.33219i 0.583923 + 0.443887i
\(443\) −6.04516 4.59541i −0.287214 0.218334i 0.451639 0.892201i \(-0.350839\pi\)
−0.738853 + 0.673866i \(0.764632\pi\)
\(444\) 4.60641 2.13115i 0.218611 0.101140i
\(445\) 10.4481 1.13630i 0.495287 0.0538657i
\(446\) 0.284376 + 5.24501i 0.0134656 + 0.248359i
\(447\) 0.511935 9.44209i 0.0242137 0.446596i
\(448\) 2.00819 + 0.218404i 0.0948783 + 0.0103186i
\(449\) −17.2177 + 5.80133i −0.812556 + 0.273782i −0.694747 0.719254i \(-0.744484\pi\)
−0.117809 + 0.993036i \(0.537587\pi\)
\(450\) 1.50918 3.78777i 0.0711436 0.178557i
\(451\) −54.4798 + 11.9919i −2.56535 + 0.564677i
\(452\) −3.25757 6.14442i −0.153223 0.289009i
\(453\) 14.6271 + 6.76720i 0.687240 + 0.317951i
\(454\) 24.4243 + 8.22951i 1.14629 + 0.386230i
\(455\) −5.12856 + 6.03781i −0.240431 + 0.283057i
\(456\) 5.87613 + 3.53555i 0.275175 + 0.165567i
\(457\) 3.46666 + 12.4858i 0.162164 + 0.584061i 0.999312 + 0.0370849i \(0.0118072\pi\)
−0.837149 + 0.546976i \(0.815779\pi\)
\(458\) −23.8310 5.24559i −1.11355 0.245110i
\(459\) −2.11961 + 3.12619i −0.0989348 + 0.145918i
\(460\) −1.56550 1.48292i −0.0729918 0.0691415i
\(461\) 19.3722 11.6559i 0.902255 0.542869i 0.0128137 0.999918i \(-0.495921\pi\)
0.889442 + 0.457049i \(0.151094\pi\)
\(462\) 1.69625 10.3467i 0.0789169 0.481372i
\(463\) −0.810121 1.19484i −0.0376495 0.0555289i 0.808398 0.588636i \(-0.200335\pi\)
−0.846048 + 0.533107i \(0.821024\pi\)
\(464\) 2.95440 + 7.41498i 0.137155 + 0.344232i
\(465\) −5.77536 6.79928i −0.267826 0.315309i
\(466\) 1.36902 + 8.35067i 0.0634187 + 0.386837i
\(467\) 10.4378 9.88719i 0.483003 0.457525i −0.407034 0.913413i \(-0.633437\pi\)
0.890037 + 0.455888i \(0.150678\pi\)
\(468\) −1.09226 + 3.93396i −0.0504896 + 0.181847i
\(469\) 10.3090 19.4449i 0.476026 0.897881i
\(470\) 4.40728 3.35033i 0.203293 0.154539i
\(471\) −3.46059 −0.159455
\(472\) 5.44928 + 5.41344i 0.250824 + 0.249174i
\(473\) 66.0425 3.03664
\(474\) −8.76736 + 6.66477i −0.402698 + 0.306123i
\(475\) −13.0974 + 24.7044i −0.600951 + 1.13351i
\(476\) 2.04116 7.35159i 0.0935563 0.336959i
\(477\) 2.69775 2.55544i 0.123521 0.117006i
\(478\) −3.55676 21.6953i −0.162682 0.992319i
\(479\) 19.3002 + 22.7220i 0.881851 + 1.03819i 0.998983 + 0.0450787i \(0.0143539\pi\)
−0.117133 + 0.993116i \(0.537370\pi\)
\(480\) −0.355534 0.892323i −0.0162278 0.0407288i
\(481\) −11.6290 17.1515i −0.530238 0.782042i
\(482\) −1.30882 + 7.98344i −0.0596150 + 0.363636i
\(483\) 3.88570 2.33795i 0.176806 0.106380i
\(484\) −11.5726 10.9622i −0.526029 0.498281i
\(485\) 0.505491 0.745543i 0.0229532 0.0338534i
\(486\) −0.976621 0.214970i −0.0443004 0.00975126i
\(487\) −9.29215 33.4673i −0.421068 1.51655i −0.805050 0.593208i \(-0.797861\pi\)
0.383982 0.923341i \(-0.374552\pi\)
\(488\) 10.5546 + 6.35049i 0.477784 + 0.287473i
\(489\) 7.86226 9.25617i 0.355544 0.418578i
\(490\) −2.65747 0.895406i −0.120052 0.0404503i
\(491\) −19.9657 9.23713i −0.901041 0.416866i −0.0860172 0.996294i \(-0.527414\pi\)
−0.815024 + 0.579428i \(0.803276\pi\)
\(492\) −5.03423 9.49556i −0.226960 0.428093i
\(493\) 29.4428 6.48085i 1.32604 0.291883i
\(494\) 10.3634 26.0102i 0.466271 1.17025i
\(495\) −4.72464 + 1.59192i −0.212357 + 0.0715513i
\(496\) 9.23305 + 1.00415i 0.414576 + 0.0450879i
\(497\) −0.965672 + 17.8108i −0.0433163 + 0.798922i
\(498\) −0.115977 2.13908i −0.00519707 0.0958544i
\(499\) −5.92385 + 0.644258i −0.265188 + 0.0288409i −0.239747 0.970835i \(-0.577065\pi\)
−0.0254410 + 0.999676i \(0.508099\pi\)
\(500\) 7.91333 3.66110i 0.353895 0.163729i
\(501\) 5.37077 + 4.08275i 0.239948 + 0.182404i
\(502\) 13.0003 + 9.88261i 0.580234 + 0.441082i
\(503\) 13.3622 6.18200i 0.595790 0.275642i −0.0987313 0.995114i \(-0.531478\pi\)
0.694521 + 0.719472i \(0.255616\pi\)
\(504\) 2.00819 0.218404i 0.0894521 0.00972850i
\(505\) −0.276739 5.10416i −0.0123147 0.227132i
\(506\) 0.630831 11.6350i 0.0280439 0.517239i
\(507\) 3.64754 + 0.396694i 0.161993 + 0.0176178i
\(508\) 11.2506 3.79077i 0.499165 0.168188i
\(509\) 6.02307 15.1168i 0.266968 0.670039i −0.732980 0.680250i \(-0.761871\pi\)
0.999948 + 0.0102115i \(0.00325048\pi\)
\(510\) −3.54316 + 0.779909i −0.156894 + 0.0345349i
\(511\) −6.17676 11.6506i −0.273244 0.515392i
\(512\) 0.907575 + 0.419889i 0.0401095 + 0.0185567i
\(513\) 6.49879 + 2.18970i 0.286928 + 0.0966775i
\(514\) −12.0884 + 14.2316i −0.533197 + 0.627729i
\(515\) 3.76905 + 2.26776i 0.166084 + 0.0999296i
\(516\) 3.40402 + 12.2602i 0.149853 + 0.539723i
\(517\) 29.2158 + 6.43088i 1.28491 + 0.282830i
\(518\) −5.75369 + 8.48606i −0.252803 + 0.372856i
\(519\) −7.39773 7.00750i −0.324724 0.307595i
\(520\) −3.36032 + 2.02184i −0.147360 + 0.0886635i
\(521\) 2.41994 14.7610i 0.106019 0.646690i −0.879339 0.476196i \(-0.842015\pi\)
0.985359 0.170494i \(-0.0545364\pi\)
\(522\) 4.47933 + 6.60652i 0.196055 + 0.289159i
\(523\) 10.5127 + 26.3848i 0.459686 + 1.15373i 0.958010 + 0.286735i \(0.0925698\pi\)
−0.498324 + 0.866991i \(0.666051\pi\)
\(524\) −7.36295 8.66833i −0.321652 0.378678i
\(525\) 1.33250 + 8.12790i 0.0581552 + 0.354731i
\(526\) 3.03362 2.87359i 0.132272 0.125295i
\(527\) 9.38460 33.8003i 0.408800 1.47236i
\(528\) 2.43123 4.58579i 0.105806 0.199571i
\(529\) −14.2981 + 10.8691i −0.621656 + 0.472570i
\(530\) 3.56931 0.155041
\(531\) 6.48561 + 4.11544i 0.281452 + 0.178595i
\(532\) −13.8529 −0.600601
\(533\) −34.9323 + 26.5549i −1.51309 + 1.15022i
\(534\) −5.12504 + 9.66686i −0.221782 + 0.418326i
\(535\) −1.41786 + 5.10667i −0.0612995 + 0.220781i
\(536\) 7.90983 7.49259i 0.341653 0.323631i
\(537\) 0.176572 + 1.07704i 0.00761965 + 0.0464778i
\(538\) 12.4395 + 14.6449i 0.536305 + 0.631387i
\(539\) −5.60876 14.0769i −0.241587 0.606336i
\(540\) −0.539045 0.795032i −0.0231968 0.0342127i
\(541\) −0.0614711 + 0.374957i −0.00264285 + 0.0161207i −0.988115 0.153716i \(-0.950876\pi\)
0.985472 + 0.169837i \(0.0543241\pi\)
\(542\) −3.36496 + 2.02463i −0.144537 + 0.0869652i
\(543\) −2.36979 2.24479i −0.101698 0.0963330i
\(544\) 2.11961 3.12619i 0.0908774 0.134034i
\(545\) −0.447287 0.0984553i −0.0191597 0.00421736i
\(546\) −2.20640 7.94674i −0.0944252 0.340089i
\(547\) −9.86264 5.93415i −0.421696 0.253726i 0.288853 0.957373i \(-0.406726\pi\)
−0.710549 + 0.703647i \(0.751554\pi\)
\(548\) −1.81205 + 2.13331i −0.0774069 + 0.0911305i
\(549\) 11.6730 + 3.93310i 0.498192 + 0.167860i
\(550\) 19.2072 + 8.88617i 0.818996 + 0.378908i
\(551\) −25.6397 48.3616i −1.09229 2.06027i
\(552\) 2.19244 0.482593i 0.0933165 0.0205405i
\(553\) 8.23432 20.6666i 0.350159 0.878833i
\(554\) 3.05510 1.02938i 0.129799 0.0437343i
\(555\) 4.84668 + 0.527108i 0.205730 + 0.0223745i
\(556\) 0.461701 8.51557i 0.0195805 0.361141i
\(557\) −1.91871 35.3885i −0.0812983 1.49946i −0.700175 0.713971i \(-0.746895\pi\)
0.618877 0.785488i \(-0.287588\pi\)
\(558\) 9.23305 1.00415i 0.390866 0.0425093i
\(559\) 47.1476 21.8128i 1.99413 0.922584i
\(560\) 1.54469 + 1.17424i 0.0652749 + 0.0496207i
\(561\) −15.6068 11.8640i −0.658919 0.500897i
\(562\) −9.22315 + 4.26708i −0.389055 + 0.179996i
\(563\) −33.0372 + 3.59301i −1.39235 + 0.151427i −0.773359 0.633968i \(-0.781425\pi\)
−0.618994 + 0.785396i \(0.712459\pi\)
\(564\) 0.312032 + 5.75509i 0.0131389 + 0.242333i
\(565\) 0.361656 6.67035i 0.0152150 0.280624i
\(566\) 2.49072 + 0.270883i 0.104693 + 0.0113860i
\(567\) 1.91429 0.645001i 0.0803928 0.0270875i
\(568\) −3.26832 + 8.20287i −0.137136 + 0.344185i
\(569\) −33.5242 + 7.37924i −1.40541 + 0.309354i −0.851994 0.523552i \(-0.824607\pi\)
−0.553415 + 0.832905i \(0.686676\pi\)
\(570\) 3.08550 + 5.81986i 0.129237 + 0.243767i
\(571\) 29.5278 + 13.6610i 1.23570 + 0.571695i 0.925417 0.378950i \(-0.123715\pi\)
0.310282 + 0.950645i \(0.399577\pi\)
\(572\) −20.0820 6.76641i −0.839670 0.282918i
\(573\) 12.7904 15.0580i 0.534327 0.629058i
\(574\) 18.6027 + 11.1929i 0.776461 + 0.467181i
\(575\) 2.44878 + 8.81972i 0.102121 + 0.367808i
\(576\) 0.976621 + 0.214970i 0.0406925 + 0.00895710i
\(577\) −12.1349 + 17.8977i −0.505185 + 0.745091i −0.991699 0.128581i \(-0.958958\pi\)
0.486514 + 0.873673i \(0.338268\pi\)
\(578\) 1.98504 + 1.88033i 0.0825667 + 0.0782113i
\(579\) 3.24758 1.95400i 0.134965 0.0812056i
\(580\) −1.24037 + 7.56595i −0.0515037 + 0.314159i
\(581\) 2.42846 + 3.58171i 0.100749 + 0.148594i
\(582\) 0.347098 + 0.871150i 0.0143877 + 0.0361103i
\(583\) 12.4863 + 14.7000i 0.517128 + 0.608810i
\(584\) −1.05610 6.44195i −0.0437019 0.266570i
\(585\) −2.84713 + 2.69694i −0.117714 + 0.111505i
\(586\) −5.24762 + 18.9002i −0.216777 + 0.780761i
\(587\) −3.12437 + 5.89319i −0.128957 + 0.243238i −0.939580 0.342330i \(-0.888784\pi\)
0.810623 + 0.585568i \(0.199129\pi\)
\(588\) 2.32416 1.76678i 0.0958466 0.0728607i
\(589\) −63.6915 −2.62436
\(590\) 1.80423 + 7.15408i 0.0742788 + 0.294529i
\(591\) 14.9918 0.616682
\(592\) −4.04058 + 3.07157i −0.166067 + 0.126241i
\(593\) 7.02901 13.2581i 0.288647 0.544446i −0.696205 0.717843i \(-0.745130\pi\)
0.984852 + 0.173397i \(0.0554744\pi\)
\(594\) 1.38858 5.00122i 0.0569742 0.205203i
\(595\) 5.32057 5.03991i 0.218122 0.206616i
\(596\) 1.52980 + 9.33139i 0.0626632 + 0.382229i
\(597\) 2.73412 + 3.21886i 0.111900 + 0.131739i
\(598\) −3.39251 8.51456i −0.138730 0.348186i
\(599\) 2.04418 + 3.01494i 0.0835230 + 0.123187i 0.867156 0.498037i \(-0.165946\pi\)
−0.783633 + 0.621225i \(0.786635\pi\)
\(600\) −0.659643 + 4.02364i −0.0269298 + 0.164265i
\(601\) 21.4667 12.9161i 0.875646 0.526859i −0.00534848 0.999986i \(-0.501702\pi\)
0.880994 + 0.473127i \(0.156875\pi\)
\(602\) −18.6601 17.6758i −0.760531 0.720413i
\(603\) 6.11422 9.01780i 0.248990 0.367233i
\(604\) −15.7398 3.46460i −0.640445 0.140973i
\(605\) −4.09624 14.7533i −0.166536 0.599808i
\(606\) 4.55987 + 2.74358i 0.185232 + 0.111450i
\(607\) 23.2322 27.3510i 0.942964 1.11014i −0.0508078 0.998708i \(-0.516180\pi\)
0.993772 0.111435i \(-0.0355445\pi\)
\(608\) −6.49879 2.18970i −0.263561 0.0888039i
\(609\) −14.6335 6.77016i −0.592978 0.274341i
\(610\) 5.54211 + 10.4535i 0.224394 + 0.423251i
\(611\) 22.9811 5.05852i 0.929716 0.204646i
\(612\) 1.39801 3.50875i 0.0565114 0.141833i
\(613\) 20.9864 7.07113i 0.847631 0.285600i 0.138225 0.990401i \(-0.455860\pi\)
0.709405 + 0.704801i \(0.248964\pi\)
\(614\) −25.2313 2.74407i −1.01825 0.110742i
\(615\) 0.558901 10.3083i 0.0225371 0.415672i
\(616\) 0.567637 + 10.4694i 0.0228707 + 0.421826i
\(617\) 29.7028 3.23038i 1.19579 0.130050i 0.511516 0.859274i \(-0.329084\pi\)
0.684275 + 0.729224i \(0.260119\pi\)
\(618\) −4.15613 + 1.92283i −0.167184 + 0.0773476i
\(619\) −19.9560 15.1702i −0.802100 0.609741i 0.121721 0.992564i \(-0.461159\pi\)
−0.923821 + 0.382824i \(0.874952\pi\)
\(620\) 7.10198 + 5.39879i 0.285223 + 0.216821i
\(621\) 2.03744 0.942620i 0.0817596 0.0378260i
\(622\) 23.6733 2.57463i 0.949214 0.103233i
\(623\) −1.19658 22.0696i −0.0479399 0.884200i
\(624\) 0.221037 4.07679i 0.00884856 0.163202i
\(625\) −11.9412 1.29868i −0.477647 0.0519473i
\(626\) 9.00282 3.03340i 0.359825 0.121239i
\(627\) −13.1749 + 33.0666i −0.526156 + 1.32055i
\(628\) 3.37968 0.743924i 0.134864 0.0296858i
\(629\) 8.97950 + 16.9371i 0.358036 + 0.675328i
\(630\) 1.76100 + 0.814725i 0.0701599 + 0.0324594i
\(631\) −21.2317 7.15379i −0.845220 0.284788i −0.136818 0.990596i \(-0.543687\pi\)
−0.708403 + 0.705808i \(0.750584\pi\)
\(632\) 7.12965 8.39367i 0.283602 0.333882i
\(633\) 24.2990 + 14.6202i 0.965799 + 0.581102i
\(634\) −5.84639 21.0568i −0.232190 0.836273i
\(635\) 11.1370 + 2.45145i 0.441960 + 0.0972828i
\(636\) −2.08533 + 3.07563i −0.0826888 + 0.121957i
\(637\) −8.65348 8.19701i −0.342863 0.324777i
\(638\) −35.4989 + 21.3590i −1.40542 + 0.845611i
\(639\) −1.42854 + 8.71368i −0.0565120 + 0.344708i
\(640\) 0.539045 + 0.795032i 0.0213076 + 0.0314264i
\(641\) −14.6831 36.8518i −0.579948 1.45556i −0.867325 0.497742i \(-0.834163\pi\)
0.287377 0.957818i \(-0.407217\pi\)
\(642\) −3.57199 4.20527i −0.140975 0.165969i
\(643\) 1.54143 + 9.40232i 0.0607881 + 0.370791i 0.999649 + 0.0264943i \(0.00843439\pi\)
−0.938861 + 0.344297i \(0.888117\pi\)
\(644\) −3.29227 + 3.11860i −0.129734 + 0.122890i
\(645\) −3.26971 + 11.7764i −0.128745 + 0.463696i
\(646\) −12.1326 + 22.8846i −0.477352 + 0.900382i
\(647\) −18.8957 + 14.3641i −0.742866 + 0.564712i −0.906700 0.421776i \(-0.861407\pi\)
0.163834 + 0.986488i \(0.447614\pi\)
\(648\) 1.00000 0.0392837
\(649\) −23.1520 + 32.4572i −0.908795 + 1.27405i
\(650\) 16.6469 0.652946
\(651\) −14.9356 + 11.3537i −0.585371 + 0.444987i
\(652\) −5.68864 + 10.7299i −0.222784 + 0.420216i
\(653\) 1.15067 4.14434i 0.0450292 0.162180i −0.937617 0.347669i \(-0.886973\pi\)
0.982646 + 0.185489i \(0.0593869\pi\)
\(654\) 0.346160 0.327900i 0.0135359 0.0128219i
\(655\) −1.76740 10.7807i −0.0690581 0.421236i
\(656\) 6.95779 + 8.19135i 0.271656 + 0.319818i
\(657\) −2.41624 6.06431i −0.0942666 0.236591i
\(658\) −6.53366 9.63643i −0.254709 0.375667i
\(659\) −1.66970 + 10.1847i −0.0650422 + 0.396740i 0.934162 + 0.356849i \(0.116149\pi\)
−0.999204 + 0.0398902i \(0.987299\pi\)
\(660\) 4.27196 2.57035i 0.166286 0.100051i
\(661\) 21.5816 + 20.4432i 0.839427 + 0.795147i 0.980842 0.194803i \(-0.0624067\pi\)
−0.141415 + 0.989950i \(0.545165\pi\)
\(662\) −2.86193 + 4.22102i −0.111232 + 0.164055i
\(663\) −15.0601 3.31499i −0.584887 0.128743i
\(664\) 0.573104 + 2.06414i 0.0222408 + 0.0801040i
\(665\) −11.4017 6.86015i −0.442137 0.266025i
\(666\) −3.28582 + 3.86836i −0.127323 + 0.149896i
\(667\) −16.9807 5.72148i −0.657497 0.221537i
\(668\) −6.12287 2.83274i −0.236901 0.109602i
\(669\) −2.46042 4.64084i −0.0951252 0.179425i
\(670\) 10.2206 2.24973i 0.394856 0.0869145i
\(671\) −23.6646 + 59.3937i −0.913562 + 2.29287i
\(672\) −1.91429 + 0.645001i −0.0738455 + 0.0248814i
\(673\) −18.0705 1.96529i −0.696568 0.0757563i −0.247017 0.969011i \(-0.579450\pi\)
−0.449551 + 0.893255i \(0.648416\pi\)
\(674\) 1.75978 32.4572i 0.0677842 1.25021i
\(675\) 0.220744 + 4.07138i 0.00849642 + 0.156707i
\(676\) −3.64754 + 0.396694i −0.140290 + 0.0152574i
\(677\) −4.73509 + 2.19069i −0.181984 + 0.0841950i −0.508766 0.860905i \(-0.669898\pi\)
0.326781 + 0.945100i \(0.394036\pi\)
\(678\) 5.53646 + 4.20871i 0.212627 + 0.161634i
\(679\) −1.50803 1.14638i −0.0578731 0.0439940i
\(680\) 3.29267 1.52335i 0.126268 0.0584178i
\(681\) −25.6224 + 2.78660i −0.981852 + 0.106783i
\(682\) 2.60981 + 48.1352i 0.0999350 + 1.84319i
\(683\) −0.407144 + 7.50933i −0.0155789 + 0.287337i 0.980354 + 0.197244i \(0.0631991\pi\)
−0.995933 + 0.0900927i \(0.971284\pi\)
\(684\) −6.81757 0.741455i −0.260676 0.0283503i
\(685\) −2.54785 + 0.858470i −0.0973482 + 0.0328004i
\(686\) −7.41670 + 18.6145i −0.283171 + 0.710706i
\(687\) 23.8310 5.24559i 0.909208 0.200132i
\(688\) −5.96000 11.2418i −0.227223 0.428588i
\(689\) 13.7691 + 6.37026i 0.524561 + 0.242688i
\(690\) 2.04347 + 0.688526i 0.0777937 + 0.0262117i
\(691\) −11.5077 + 13.5480i −0.437775 + 0.515388i −0.936163 0.351565i \(-0.885649\pi\)
0.498388 + 0.866954i \(0.333925\pi\)
\(692\) 8.73118 + 5.25338i 0.331910 + 0.199703i
\(693\) 2.80499 + 10.1026i 0.106553 + 0.383768i
\(694\) −6.20307 1.36540i −0.235465 0.0518299i
\(695\) 4.59702 6.78009i 0.174375 0.257184i
\(696\) −5.79481 5.48914i −0.219652 0.208065i
\(697\) 34.7828 20.9281i 1.31749 0.792708i
\(698\) −1.62716 + 9.92522i −0.0615888 + 0.375675i
\(699\) −4.74884 7.00402i −0.179618 0.264916i
\(700\) −3.04861 7.65143i −0.115227 0.289197i
\(701\) 19.8610 + 23.3822i 0.750139 + 0.883132i 0.996286 0.0861007i \(-0.0274407\pi\)
−0.246148 + 0.969232i \(0.579165\pi\)
\(702\) −0.660519 4.02899i −0.0249297 0.152064i
\(703\) 25.2695 23.9366i 0.953058 0.902784i
\(704\) −1.38858 + 5.00122i −0.0523341 + 0.188491i
\(705\) −2.59317 + 4.89125i −0.0976646 + 0.184215i
\(706\) 2.84200 2.16043i 0.106960 0.0813089i
\(707\) −10.7499 −0.404290
\(708\) −7.21868 2.62501i −0.271295 0.0986539i
\(709\) 14.3058 0.537265 0.268633 0.963243i \(-0.413428\pi\)
0.268633 + 0.963243i \(0.413428\pi\)
\(710\) −6.75215 + 5.13285i −0.253404 + 0.192632i
\(711\) 5.15857 9.73010i 0.193462 0.364907i
\(712\) 2.92713 10.5426i 0.109699 0.395100i
\(713\) −15.1368 + 14.3384i −0.566878 + 0.536975i
\(714\) 1.23435 + 7.52918i 0.0461942 + 0.281772i
\(715\) −13.1776 15.5139i −0.492816 0.580188i
\(716\) −0.403977 1.01390i −0.0150973 0.0378914i
\(717\) 12.3376 + 18.1967i 0.460757 + 0.679566i
\(718\) 0.320291 1.95369i 0.0119531 0.0729109i
\(719\) 11.6091 6.98494i 0.432945 0.260494i −0.282358 0.959309i \(-0.591117\pi\)
0.715302 + 0.698815i \(0.246289\pi\)
\(720\) 0.697351 + 0.660566i 0.0259887 + 0.0246178i
\(721\) 5.19127 7.65654i 0.193333 0.285145i
\(722\) 27.3737 + 6.02541i 1.01874 + 0.224242i
\(723\) −2.16431 7.79513i −0.0804914 0.289904i
\(724\) 2.79695 + 1.68287i 0.103948 + 0.0625434i
\(725\) 21.0692 24.8045i 0.782489 0.921217i
\(726\) 15.1059 + 5.08978i 0.560634 + 0.188900i
\(727\) 29.7589 + 13.7679i 1.10370 + 0.510624i 0.885199 0.465213i \(-0.154022\pi\)
0.218498 + 0.975837i \(0.429884\pi\)
\(728\) 3.86313 + 7.28663i 0.143177 + 0.270061i
\(729\) 0.976621 0.214970i 0.0361711 0.00796187i
\(730\) 2.32091 5.82504i 0.0859006 0.215594i
\(731\) −45.5427 + 15.3451i −1.68446 + 0.567560i
\(732\) −12.2456 1.33179i −0.452610 0.0492244i
\(733\) 1.15688 21.3374i 0.0427303 0.788114i −0.896125 0.443802i \(-0.853629\pi\)
0.938855 0.344312i \(-0.111888\pi\)
\(734\) 0.948445 + 17.4930i 0.0350078 + 0.645680i
\(735\) 2.78783 0.303194i 0.102830 0.0111835i
\(736\) −2.03744 + 0.942620i −0.0751010 + 0.0347454i
\(737\) 45.0193 + 34.2228i 1.65831 + 1.26061i
\(738\) 8.55602 + 6.50412i 0.314952 + 0.239420i
\(739\) −43.5937 + 20.1686i −1.60362 + 0.741914i −0.998528 0.0542406i \(-0.982726\pi\)
−0.605093 + 0.796155i \(0.706864\pi\)
\(740\) −4.84668 + 0.527108i −0.178167 + 0.0193769i
\(741\) 1.51582 + 27.9577i 0.0556851 + 1.02705i
\(742\) 0.406383 7.49530i 0.0149188 0.275161i
\(743\) −4.46991 0.486132i −0.163985 0.0178345i 0.0257580 0.999668i \(-0.491800\pi\)
−0.189743 + 0.981834i \(0.560766\pi\)
\(744\) −8.80132 + 2.96551i −0.322672 + 0.108721i
\(745\) −3.36192 + 8.43777i −0.123171 + 0.309136i
\(746\) 29.3917 6.46961i 1.07611 0.236869i
\(747\) 1.00343 + 1.89268i 0.0367137 + 0.0692494i
\(748\) 17.7923 + 8.23159i 0.650551 + 0.300977i
\(749\) 10.5622 + 3.55883i 0.385935 + 0.130037i
\(750\) −5.64469 + 6.64544i −0.206115 + 0.242657i
\(751\) −6.24272 3.75612i −0.227800 0.137063i 0.397079 0.917785i \(-0.370024\pi\)
−0.624879 + 0.780722i \(0.714852\pi\)
\(752\) −1.54191 5.55346i −0.0562277 0.202514i
\(753\) −15.9484 3.51051i −0.581192 0.127930i
\(754\) −18.2881 + 26.9729i −0.666013 + 0.982295i
\(755\) −11.2390 10.6461i −0.409027 0.387451i
\(756\) −1.73088 + 1.04144i −0.0629516 + 0.0378767i
\(757\) 5.75529 35.1057i 0.209179 1.27594i −0.648286 0.761397i \(-0.724514\pi\)
0.857465 0.514541i \(-0.172038\pi\)
\(758\) 12.6055 + 18.5917i 0.457852 + 0.675282i