Properties

Label 576.2.bl.a.11.2
Level $576$
Weight $2$
Character 576.11
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41165 + 0.0851593i) q^{2} +(-1.66601 - 0.473724i) q^{3} +(1.98550 - 0.240430i) q^{4} +(-1.72799 - 0.852148i) q^{5} +(2.39216 + 0.526855i) q^{6} +(0.749706 + 0.977036i) q^{7} +(-2.78234 + 0.508485i) q^{8} +(2.55117 + 1.57846i) q^{9} +O(q^{10})\) \(q+(-1.41165 + 0.0851593i) q^{2} +(-1.66601 - 0.473724i) q^{3} +(1.98550 - 0.240430i) q^{4} +(-1.72799 - 0.852148i) q^{5} +(2.39216 + 0.526855i) q^{6} +(0.749706 + 0.977036i) q^{7} +(-2.78234 + 0.508485i) q^{8} +(2.55117 + 1.57846i) q^{9} +(2.51187 + 1.05578i) q^{10} +(-1.03280 - 0.905738i) q^{11} +(-3.42175 - 0.540019i) q^{12} +(1.67090 + 0.109517i) q^{13} +(-1.14152 - 1.31539i) q^{14} +(2.47516 + 2.23827i) q^{15} +(3.88439 - 0.954745i) q^{16} +(2.19144 + 2.19144i) q^{17} +(-3.73577 - 2.01097i) q^{18} +(-0.262896 + 0.393452i) q^{19} +(-3.63579 - 1.27648i) q^{20} +(-0.786172 - 1.98290i) q^{21} +(1.53508 + 1.19063i) q^{22} +(-1.13581 + 1.48022i) q^{23} +(4.87629 + 0.470922i) q^{24} +(-0.784031 - 1.02177i) q^{25} +(-2.36805 - 0.0123061i) q^{26} +(-3.50252 - 3.83827i) q^{27} +(1.72345 + 1.75965i) q^{28} +(2.37989 - 7.01094i) q^{29} +(-3.68466 - 2.94887i) q^{30} +(0.773053 + 1.33897i) q^{31} +(-5.40208 + 1.67855i) q^{32} +(1.29158 + 1.99823i) q^{33} +(-3.28016 - 2.90692i) q^{34} +(-0.462902 - 2.32716i) q^{35} +(5.44485 + 2.52064i) q^{36} +(1.46296 - 0.977517i) q^{37} +(0.337611 - 0.577804i) q^{38} +(-2.73186 - 0.974002i) q^{39} +(5.24116 + 1.49231i) q^{40} +(-1.02065 - 0.783171i) q^{41} +(1.27866 + 2.73221i) q^{42} +(-6.95908 - 6.10295i) q^{43} +(-2.26838 - 1.55002i) q^{44} +(-3.06331 - 4.90152i) q^{45} +(1.47731 - 2.18627i) q^{46} +(-2.32556 - 8.67912i) q^{47} +(-6.92371 - 0.249514i) q^{48} +(1.41919 - 5.29650i) q^{49} +(1.19379 + 1.37561i) q^{50} +(-2.61282 - 4.68909i) q^{51} +(3.34390 - 0.184290i) q^{52} +(3.48275 + 0.692761i) q^{53} +(5.27119 + 5.12002i) q^{54} +(1.01283 + 2.44520i) q^{55} +(-2.58275 - 2.33724i) q^{56} +(0.624376 - 0.530955i) q^{57} +(-2.76252 + 10.0996i) q^{58} +(6.06064 - 12.2898i) q^{59} +(5.45256 + 3.84898i) q^{60} +(3.11847 - 9.18671i) q^{61} +(-1.20530 - 1.82432i) q^{62} +(0.370420 + 3.67597i) q^{63} +(7.48289 - 2.82956i) q^{64} +(-2.79397 - 1.61310i) q^{65} +(-1.99342 - 2.71080i) q^{66} +(-6.27596 + 5.50387i) q^{67} +(4.87798 + 3.82420i) q^{68} +(2.59348 - 1.92799i) q^{69} +(0.851634 + 3.24571i) q^{70} +(1.01633 + 0.420977i) q^{71} +(-7.90086 - 3.09458i) q^{72} +(8.19258 - 3.39348i) q^{73} +(-1.98194 + 1.50449i) q^{74} +(0.822166 + 2.07369i) q^{75} +(-0.427382 + 0.844406i) q^{76} +(0.110645 - 1.68812i) q^{77} +(3.93936 + 1.14230i) q^{78} +(-1.95474 - 7.29518i) q^{79} +(-7.52575 - 1.66029i) q^{80} +(4.01695 + 8.05383i) q^{81} +(1.50749 + 1.01864i) q^{82} +(-9.95929 + 4.91138i) q^{83} +(-2.03769 - 3.74803i) q^{84} +(-1.91934 - 5.65420i) q^{85} +(10.3435 + 8.02258i) q^{86} +(-7.28618 + 10.5529i) q^{87} +(3.33415 + 1.99491i) q^{88} +(3.53756 + 1.46530i) q^{89} +(4.74172 + 6.65835i) q^{90} +(1.14568 + 1.71464i) q^{91} +(-1.89926 + 3.21205i) q^{92} +(-0.653613 - 2.59695i) q^{93} +(4.02198 + 12.0538i) q^{94} +(0.789561 - 0.455853i) q^{95} +(9.79508 - 0.237392i) q^{96} +(-5.80249 - 3.35007i) q^{97} +(-1.55235 + 7.59765i) q^{98} +(-1.20517 - 3.94092i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41165 + 0.0851593i −0.998185 + 0.0602167i
\(3\) −1.66601 0.473724i −0.961871 0.273505i
\(4\) 1.98550 0.240430i 0.992748 0.120215i
\(5\) −1.72799 0.852148i −0.772778 0.381092i 0.0127492 0.999919i \(-0.495942\pi\)
−0.785528 + 0.618827i \(0.787608\pi\)
\(6\) 2.39216 + 0.526855i 0.976595 + 0.215088i
\(7\) 0.749706 + 0.977036i 0.283362 + 0.369285i 0.913249 0.407402i \(-0.133565\pi\)
−0.629887 + 0.776687i \(0.716899\pi\)
\(8\) −2.78234 + 0.508485i −0.983707 + 0.179777i
\(9\) 2.55117 + 1.57846i 0.850390 + 0.526152i
\(10\) 2.51187 + 1.05578i 0.794324 + 0.333866i
\(11\) −1.03280 0.905738i −0.311400 0.273090i 0.489352 0.872086i \(-0.337233\pi\)
−0.800752 + 0.598996i \(0.795567\pi\)
\(12\) −3.42175 0.540019i −0.987774 0.155890i
\(13\) 1.67090 + 0.109517i 0.463425 + 0.0303745i 0.295328 0.955396i \(-0.404571\pi\)
0.168097 + 0.985770i \(0.446238\pi\)
\(14\) −1.14152 1.31539i −0.305085 0.351552i
\(15\) 2.47516 + 2.23827i 0.639082 + 0.577920i
\(16\) 3.88439 0.954745i 0.971097 0.238686i
\(17\) 2.19144 + 2.19144i 0.531502 + 0.531502i 0.921019 0.389517i \(-0.127358\pi\)
−0.389517 + 0.921019i \(0.627358\pi\)
\(18\) −3.73577 2.01097i −0.880530 0.473990i
\(19\) −0.262896 + 0.393452i −0.0603126 + 0.0902642i −0.860400 0.509619i \(-0.829786\pi\)
0.800088 + 0.599883i \(0.204786\pi\)
\(20\) −3.63579 1.27648i −0.812987 0.285429i
\(21\) −0.786172 1.98290i −0.171557 0.432705i
\(22\) 1.53508 + 1.19063i 0.327279 + 0.253843i
\(23\) −1.13581 + 1.48022i −0.236833 + 0.308646i −0.896615 0.442810i \(-0.853982\pi\)
0.659783 + 0.751456i \(0.270648\pi\)
\(24\) 4.87629 + 0.470922i 0.995369 + 0.0961266i
\(25\) −0.784031 1.02177i −0.156806 0.204354i
\(26\) −2.36805 0.0123061i −0.464413 0.00241343i
\(27\) −3.50252 3.83827i −0.674060 0.738676i
\(28\) 1.72345 + 1.75965i 0.325701 + 0.332543i
\(29\) 2.37989 7.01094i 0.441935 1.30190i −0.466740 0.884395i \(-0.654571\pi\)
0.908675 0.417505i \(-0.137095\pi\)
\(30\) −3.68466 2.94887i −0.672723 0.538388i
\(31\) 0.773053 + 1.33897i 0.138844 + 0.240486i 0.927059 0.374914i \(-0.122328\pi\)
−0.788215 + 0.615400i \(0.788995\pi\)
\(32\) −5.40208 + 1.67855i −0.954962 + 0.296729i
\(33\) 1.29158 + 1.99823i 0.224835 + 0.347847i
\(34\) −3.28016 2.90692i −0.562543 0.498532i
\(35\) −0.462902 2.32716i −0.0782447 0.393363i
\(36\) 5.44485 + 2.52064i 0.907475 + 0.420107i
\(37\) 1.46296 0.977517i 0.240509 0.160703i −0.429475 0.903079i \(-0.641301\pi\)
0.669983 + 0.742376i \(0.266301\pi\)
\(38\) 0.337611 0.577804i 0.0547677 0.0937322i
\(39\) −2.73186 0.974002i −0.437447 0.155965i
\(40\) 5.24116 + 1.49231i 0.828699 + 0.235956i
\(41\) −1.02065 0.783171i −0.159398 0.122311i 0.525983 0.850495i \(-0.323698\pi\)
−0.685381 + 0.728185i \(0.740364\pi\)
\(42\) 1.27866 + 2.73221i 0.197302 + 0.421589i
\(43\) −6.95908 6.10295i −1.06125 0.930691i −0.0635157 0.997981i \(-0.520231\pi\)
−0.997733 + 0.0672903i \(0.978565\pi\)
\(44\) −2.26838 1.55002i −0.341971 0.233675i
\(45\) −3.06331 4.90152i −0.456651 0.730676i
\(46\) 1.47731 2.18627i 0.217817 0.322348i
\(47\) −2.32556 8.67912i −0.339218 1.26598i −0.899223 0.437490i \(-0.855867\pi\)
0.560005 0.828489i \(-0.310799\pi\)
\(48\) −6.92371 0.249514i −0.999351 0.0360143i
\(49\) 1.41919 5.29650i 0.202742 0.756643i
\(50\) 1.19379 + 1.37561i 0.168827 + 0.194541i
\(51\) −2.61282 4.68909i −0.365868 0.656604i
\(52\) 3.34390 0.184290i 0.463716 0.0255564i
\(53\) 3.48275 + 0.692761i 0.478392 + 0.0951581i 0.428395 0.903591i \(-0.359079\pi\)
0.0499964 + 0.998749i \(0.484079\pi\)
\(54\) 5.27119 + 5.12002i 0.717318 + 0.696746i
\(55\) 1.01283 + 2.44520i 0.136570 + 0.329710i
\(56\) −2.58275 2.33724i −0.345134 0.312326i
\(57\) 0.624376 0.530955i 0.0827006 0.0703267i
\(58\) −2.76252 + 10.0996i −0.362737 + 1.32615i
\(59\) 6.06064 12.2898i 0.789028 1.59999i −0.0109331 0.999940i \(-0.503480\pi\)
0.799962 0.600051i \(-0.204853\pi\)
\(60\) 5.45256 + 3.84898i 0.703922 + 0.496902i
\(61\) 3.11847 9.18671i 0.399279 1.17624i −0.542515 0.840046i \(-0.682528\pi\)
0.941794 0.336191i \(-0.109139\pi\)
\(62\) −1.20530 1.82432i −0.153074 0.231689i
\(63\) 0.370420 + 3.67597i 0.0466685 + 0.463128i
\(64\) 7.48289 2.82956i 0.935361 0.353695i
\(65\) −2.79397 1.61310i −0.346549 0.200080i
\(66\) −1.99342 2.71080i −0.245373 0.333677i
\(67\) −6.27596 + 5.50387i −0.766731 + 0.672405i −0.950556 0.310554i \(-0.899485\pi\)
0.183825 + 0.982959i \(0.441152\pi\)
\(68\) 4.87798 + 3.82420i 0.591542 + 0.463753i
\(69\) 2.59348 1.92799i 0.312219 0.232103i
\(70\) 0.851634 + 3.24571i 0.101790 + 0.387937i
\(71\) 1.01633 + 0.420977i 0.120616 + 0.0499608i 0.442175 0.896929i \(-0.354207\pi\)
−0.321559 + 0.946889i \(0.604207\pi\)
\(72\) −7.90086 3.09458i −0.931125 0.364699i
\(73\) 8.19258 3.39348i 0.958870 0.397177i 0.152312 0.988332i \(-0.451328\pi\)
0.806557 + 0.591156i \(0.201328\pi\)
\(74\) −1.98194 + 1.50449i −0.230395 + 0.174894i
\(75\) 0.822166 + 2.07369i 0.0949355 + 0.239449i
\(76\) −0.427382 + 0.844406i −0.0490241 + 0.0968600i
\(77\) 0.110645 1.68812i 0.0126092 0.192379i
\(78\) 3.93936 + 1.14230i 0.446045 + 0.129341i
\(79\) −1.95474 7.29518i −0.219925 0.820771i −0.984374 0.176088i \(-0.943656\pi\)
0.764449 0.644684i \(-0.223011\pi\)
\(80\) −7.52575 1.66029i −0.841404 0.185626i
\(81\) 4.01695 + 8.05383i 0.446328 + 0.894870i
\(82\) 1.50749 + 1.01864i 0.166474 + 0.112490i
\(83\) −9.95929 + 4.91138i −1.09317 + 0.539094i −0.897249 0.441525i \(-0.854438\pi\)
−0.195925 + 0.980619i \(0.562771\pi\)
\(84\) −2.03769 3.74803i −0.222330 0.408944i
\(85\) −1.91934 5.65420i −0.208182 0.613284i
\(86\) 10.3435 + 8.02258i 1.11537 + 0.865097i
\(87\) −7.28618 + 10.5529i −0.781160 + 1.13139i
\(88\) 3.33415 + 1.99491i 0.355422 + 0.212658i
\(89\) 3.53756 + 1.46530i 0.374980 + 0.155322i 0.562211 0.826994i \(-0.309951\pi\)
−0.187230 + 0.982316i \(0.559951\pi\)
\(90\) 4.74172 + 6.65835i 0.499821 + 0.701852i
\(91\) 1.14568 + 1.71464i 0.120100 + 0.179743i
\(92\) −1.89926 + 3.21205i −0.198011 + 0.334879i
\(93\) −0.653613 2.59695i −0.0677765 0.269291i
\(94\) 4.02198 + 12.0538i 0.414836 + 1.24326i
\(95\) 0.789561 0.455853i 0.0810072 0.0467695i
\(96\) 9.79508 0.237392i 0.999706 0.0242287i
\(97\) −5.80249 3.35007i −0.589154 0.340148i 0.175609 0.984460i \(-0.443811\pi\)
−0.764763 + 0.644312i \(0.777144\pi\)
\(98\) −1.55235 + 7.59765i −0.156811 + 0.767478i
\(99\) −1.20517 3.94092i −0.121124 0.396077i
\(100\) −1.80235 1.84021i −0.180235 0.184021i
\(101\) 7.54370 0.494440i 0.750626 0.0491987i 0.314713 0.949187i \(-0.398092\pi\)
0.435914 + 0.899988i \(0.356425\pi\)
\(102\) 4.08770 + 6.39684i 0.404742 + 0.633381i
\(103\) 0.121885 + 0.925806i 0.0120097 + 0.0912224i 0.996400 0.0847768i \(-0.0270177\pi\)
−0.984390 + 0.175999i \(0.943684\pi\)
\(104\) −4.70471 + 0.544916i −0.461335 + 0.0534334i
\(105\) −0.331235 + 4.09636i −0.0323252 + 0.399764i
\(106\) −4.97540 0.681346i −0.483254 0.0661782i
\(107\) −14.5703 2.89822i −1.40857 0.280181i −0.568509 0.822677i \(-0.692479\pi\)
−0.840059 + 0.542496i \(0.817479\pi\)
\(108\) −7.87708 6.77877i −0.757972 0.652287i
\(109\) 1.16949 + 0.781430i 0.112017 + 0.0748474i 0.610317 0.792157i \(-0.291042\pi\)
−0.498300 + 0.867005i \(0.666042\pi\)
\(110\) −1.63800 3.36550i −0.156177 0.320888i
\(111\) −2.90037 + 0.935514i −0.275291 + 0.0887951i
\(112\) 3.84497 + 3.07941i 0.363315 + 0.290977i
\(113\) −2.14511 0.574782i −0.201795 0.0540709i 0.156505 0.987677i \(-0.449977\pi\)
−0.358301 + 0.933606i \(0.616644\pi\)
\(114\) −0.836182 + 0.802692i −0.0783157 + 0.0751790i
\(115\) 3.22403 1.58991i 0.300642 0.148260i
\(116\) 3.03963 14.4924i 0.282223 1.34558i
\(117\) 4.08989 + 2.91684i 0.378111 + 0.269662i
\(118\) −7.50890 + 17.8649i −0.691250 + 1.64460i
\(119\) −0.498180 + 3.78405i −0.0456680 + 0.346883i
\(120\) −8.02487 4.96907i −0.732567 0.453612i
\(121\) −1.18948 9.03501i −0.108135 0.821364i
\(122\) −3.61984 + 13.2340i −0.327725 + 1.19815i
\(123\) 1.32940 + 1.78828i 0.119868 + 0.161243i
\(124\) 1.85682 + 2.47265i 0.166748 + 0.222051i
\(125\) 2.36348 + 11.8820i 0.211396 + 1.06276i
\(126\) −0.835944 5.15762i −0.0744718 0.459477i
\(127\) 11.9551i 1.06084i 0.847734 + 0.530421i \(0.177966\pi\)
−0.847734 + 0.530421i \(0.822034\pi\)
\(128\) −10.3222 + 4.63158i −0.912365 + 0.409378i
\(129\) 8.70277 + 13.4642i 0.766236 + 1.18546i
\(130\) 4.08147 + 2.03919i 0.357969 + 0.178849i
\(131\) 9.66608 + 11.0221i 0.844530 + 0.963001i 0.999690 0.0248878i \(-0.00792286\pi\)
−0.155161 + 0.987889i \(0.549590\pi\)
\(132\) 3.04486 + 3.65694i 0.265021 + 0.318296i
\(133\) −0.581512 + 0.0381143i −0.0504235 + 0.00330493i
\(134\) 8.39074 8.30398i 0.724849 0.717354i
\(135\) 2.78153 + 9.61715i 0.239396 + 0.827712i
\(136\) −7.21165 4.98302i −0.618394 0.427291i
\(137\) 12.4251 + 1.63579i 1.06155 + 0.139755i 0.641019 0.767525i \(-0.278512\pi\)
0.420527 + 0.907280i \(0.361845\pi\)
\(138\) −3.49690 + 2.94250i −0.297676 + 0.250483i
\(139\) 0.309346 + 0.911305i 0.0262384 + 0.0772959i 0.959260 0.282524i \(-0.0911716\pi\)
−0.933022 + 0.359820i \(0.882838\pi\)
\(140\) −1.47861 4.50928i −0.124965 0.381104i
\(141\) −0.237098 + 15.5612i −0.0199673 + 1.31049i
\(142\) −1.47055 0.507722i −0.123406 0.0426070i
\(143\) −1.62651 1.62651i −0.136015 0.136015i
\(144\) 11.4168 + 3.69562i 0.951397 + 0.307968i
\(145\) −10.0868 + 10.0868i −0.837662 + 0.837662i
\(146\) −11.2761 + 5.48807i −0.933213 + 0.454196i
\(147\) −4.87347 + 8.15171i −0.401957 + 0.672342i
\(148\) 2.66967 2.29260i 0.219446 0.188450i
\(149\) 0.888105 0.301471i 0.0727564 0.0246975i −0.284824 0.958580i \(-0.591935\pi\)
0.357580 + 0.933882i \(0.383602\pi\)
\(150\) −1.33720 2.85730i −0.109182 0.233298i
\(151\) −1.26369 + 9.59866i −0.102837 + 0.781128i 0.859857 + 0.510535i \(0.170553\pi\)
−0.962694 + 0.270592i \(0.912781\pi\)
\(152\) 0.531404 1.22840i 0.0431025 0.0996363i
\(153\) 2.13164 + 9.04983i 0.172333 + 0.731635i
\(154\) −0.0124329 + 2.39245i −0.00100187 + 0.192789i
\(155\) −0.194826 2.97247i −0.0156488 0.238755i
\(156\) −5.65827 1.27706i −0.453024 0.102246i
\(157\) 16.2627 14.2620i 1.29791 1.13823i 0.316022 0.948752i \(-0.397653\pi\)
0.981884 0.189481i \(-0.0606805\pi\)
\(158\) 3.38065 + 10.1318i 0.268950 + 0.806039i
\(159\) −5.47411 2.80401i −0.434125 0.222372i
\(160\) 10.7651 + 1.70285i 0.851055 + 0.134622i
\(161\) −2.29775 −0.181088
\(162\) −6.35637 11.0271i −0.499404 0.866369i
\(163\) −1.02062 + 0.203014i −0.0799412 + 0.0159013i −0.234899 0.972020i \(-0.575476\pi\)
0.154958 + 0.987921i \(0.450476\pi\)
\(164\) −2.21479 1.30959i −0.172946 0.102262i
\(165\) −0.529042 4.55352i −0.0411858 0.354491i
\(166\) 13.6408 7.78126i 1.05873 0.603943i
\(167\) 18.5031 2.43598i 1.43181 0.188502i 0.625608 0.780138i \(-0.284851\pi\)
0.806205 + 0.591636i \(0.201518\pi\)
\(168\) 3.19568 + 5.11737i 0.246552 + 0.394814i
\(169\) −10.1089 1.33086i −0.777605 0.102374i
\(170\) 3.19094 + 7.81829i 0.244734 + 0.599635i
\(171\) −1.29174 + 0.588794i −0.0987819 + 0.0450262i
\(172\) −15.2845 10.4442i −1.16544 0.796363i
\(173\) −0.701684 1.42288i −0.0533481 0.108179i 0.868566 0.495573i \(-0.165042\pi\)
−0.921914 + 0.387394i \(0.873375\pi\)
\(174\) 9.38684 15.5174i 0.711614 1.17637i
\(175\) 0.410512 1.53205i 0.0310318 0.115812i
\(176\) −4.87653 2.53218i −0.367582 0.190870i
\(177\) −15.9190 + 17.6038i −1.19655 + 1.32318i
\(178\) −5.11857 1.76724i −0.383653 0.132460i
\(179\) 7.60903 11.3877i 0.568726 0.851158i −0.429937 0.902859i \(-0.641464\pi\)
0.998663 + 0.0517009i \(0.0164642\pi\)
\(180\) −7.26066 8.99545i −0.541177 0.670481i
\(181\) −1.99219 + 10.0154i −0.148078 + 0.744439i 0.833371 + 0.552715i \(0.186408\pi\)
−0.981449 + 0.191725i \(0.938592\pi\)
\(182\) −1.76332 2.32290i −0.130706 0.172185i
\(183\) −9.54736 + 13.8278i −0.705761 + 1.02218i
\(184\) 2.40755 4.69601i 0.177487 0.346195i
\(185\) −3.36096 + 0.442479i −0.247103 + 0.0325317i
\(186\) 1.14382 + 3.61031i 0.0838693 + 0.264721i
\(187\) −0.278440 4.24818i −0.0203616 0.310658i
\(188\) −6.70411 16.6732i −0.488948 1.21602i
\(189\) 1.12427 6.29967i 0.0817787 0.458233i
\(190\) −1.07576 + 0.710742i −0.0780439 + 0.0515627i
\(191\) 7.85381 13.6032i 0.568282 0.984293i −0.428454 0.903564i \(-0.640942\pi\)
0.996736 0.0807296i \(-0.0257250\pi\)
\(192\) −13.8070 + 1.16926i −0.996433 + 0.0843838i
\(193\) −2.04795 3.54716i −0.147415 0.255330i 0.782856 0.622202i \(-0.213762\pi\)
−0.930271 + 0.366872i \(0.880429\pi\)
\(194\) 8.47636 + 4.23498i 0.608568 + 0.304054i
\(195\) 3.89062 + 4.01101i 0.278613 + 0.287234i
\(196\) 1.54437 10.8574i 0.110312 0.775528i
\(197\) −17.2745 + 11.5424i −1.23076 + 0.822364i −0.988992 0.147971i \(-0.952726\pi\)
−0.241764 + 0.970335i \(0.577726\pi\)
\(198\) 2.03688 + 5.46055i 0.144755 + 0.388065i
\(199\) 4.77676 11.5321i 0.338616 0.817490i −0.659234 0.751938i \(-0.729119\pi\)
0.997849 0.0655521i \(-0.0208809\pi\)
\(200\) 2.70100 + 2.44425i 0.190989 + 0.172834i
\(201\) 13.0631 6.19642i 0.921401 0.437062i
\(202\) −10.6069 + 1.34039i −0.746302 + 0.0943096i
\(203\) 8.63417 2.93090i 0.606000 0.205709i
\(204\) −6.31514 8.68197i −0.442148 0.607860i
\(205\) 1.09629 + 2.22305i 0.0765680 + 0.155265i
\(206\) −0.250899 1.29653i −0.0174810 0.0903337i
\(207\) −5.23410 + 1.98346i −0.363795 + 0.137860i
\(208\) 6.59499 1.16988i 0.457280 0.0811166i
\(209\) 0.627883 0.168241i 0.0434316 0.0116375i
\(210\) 0.118744 5.81083i 0.00819409 0.400985i
\(211\) −3.32454 0.217902i −0.228871 0.0150010i −0.0494639 0.998776i \(-0.515751\pi\)
−0.179407 + 0.983775i \(0.557418\pi\)
\(212\) 7.08154 + 0.538119i 0.486362 + 0.0369581i
\(213\) −1.49379 1.18281i −0.102353 0.0810449i
\(214\) 20.8150 + 2.85046i 1.42288 + 0.194854i
\(215\) 6.82457 + 16.4760i 0.465432 + 1.12365i
\(216\) 11.6969 + 8.89842i 0.795875 + 0.605461i
\(217\) −0.728657 + 1.75913i −0.0494645 + 0.119418i
\(218\) −1.71746 1.00351i −0.116321 0.0679663i
\(219\) −15.2565 + 1.77254i −1.03094 + 0.119777i
\(220\) 2.59888 + 4.61141i 0.175216 + 0.310901i
\(221\) 3.42168 + 3.90168i 0.230167 + 0.262455i
\(222\) 4.01464 1.56761i 0.269445 0.105211i
\(223\) 9.45489 16.3763i 0.633146 1.09664i −0.353759 0.935337i \(-0.615097\pi\)
0.986905 0.161305i \(-0.0515701\pi\)
\(224\) −5.68998 4.01960i −0.380178 0.268571i
\(225\) −0.387379 3.84427i −0.0258253 0.256284i
\(226\) 3.07709 + 0.628712i 0.204685 + 0.0418213i
\(227\) 11.3514 + 3.85328i 0.753419 + 0.255751i 0.671618 0.740898i \(-0.265600\pi\)
0.0818006 + 0.996649i \(0.473933\pi\)
\(228\) 1.11204 1.20433i 0.0736465 0.0797585i
\(229\) −13.7569 6.78417i −0.909084 0.448311i −0.0732631 0.997313i \(-0.523341\pi\)
−0.835821 + 0.549002i \(0.815008\pi\)
\(230\) −4.41579 + 2.51895i −0.291169 + 0.166095i
\(231\) −0.984037 + 2.76000i −0.0647449 + 0.181595i
\(232\) −3.05672 + 20.7170i −0.200684 + 1.36014i
\(233\) −1.17227 + 0.485572i −0.0767982 + 0.0318109i −0.420752 0.907176i \(-0.638234\pi\)
0.343954 + 0.938987i \(0.388234\pi\)
\(234\) −6.02188 3.76926i −0.393663 0.246404i
\(235\) −3.37736 + 16.9791i −0.220314 + 1.10760i
\(236\) 9.07855 25.8584i 0.590964 1.68324i
\(237\) −0.199291 + 13.0798i −0.0129454 + 0.849626i
\(238\) 0.381007 5.38417i 0.0246970 0.349004i
\(239\) −4.17371 1.11834i −0.269975 0.0723395i 0.121292 0.992617i \(-0.461296\pi\)
−0.391267 + 0.920277i \(0.627963\pi\)
\(240\) 11.7514 + 6.33118i 0.758552 + 0.408676i
\(241\) −25.2008 + 6.75254i −1.62333 + 0.434970i −0.951977 0.306170i \(-0.900953\pi\)
−0.671351 + 0.741139i \(0.734286\pi\)
\(242\) 2.44854 + 12.6529i 0.157398 + 0.813362i
\(243\) −2.87698 15.3207i −0.184558 0.982822i
\(244\) 3.98295 18.9899i 0.254982 1.21571i
\(245\) −6.96575 + 7.94291i −0.445025 + 0.507454i
\(246\) −2.02894 2.41120i −0.129360 0.153733i
\(247\) −0.482364 + 0.628629i −0.0306921 + 0.0399987i
\(248\) −2.83175 3.33238i −0.179816 0.211607i
\(249\) 18.9189 3.46445i 1.19894 0.219550i
\(250\) −4.34826 16.5719i −0.275008 1.04810i
\(251\) −13.5514 20.2811i −0.855357 1.28013i −0.958392 0.285454i \(-0.907855\pi\)
0.103035 0.994678i \(-0.467145\pi\)
\(252\) 1.61928 + 7.20955i 0.102005 + 0.454159i
\(253\) 2.51375 0.500016i 0.158038 0.0314357i
\(254\) −1.01809 16.8764i −0.0638804 1.05892i
\(255\) 0.519111 + 10.3292i 0.0325080 + 0.646839i
\(256\) 14.1769 7.41719i 0.886058 0.463575i
\(257\) −11.5845 + 6.68832i −0.722622 + 0.417206i −0.815717 0.578451i \(-0.803657\pi\)
0.0930947 + 0.995657i \(0.470324\pi\)
\(258\) −13.4318 18.2656i −0.836230 1.13717i
\(259\) 2.05186 + 0.696512i 0.127496 + 0.0432792i
\(260\) −5.93525 2.53105i −0.368089 0.156969i
\(261\) 17.1380 14.1296i 1.06081 0.874597i
\(262\) −14.5837 14.7361i −0.900986 0.910399i
\(263\) 25.0384 19.2126i 1.54393 1.18470i 0.631572 0.775317i \(-0.282410\pi\)
0.912362 0.409385i \(-0.134257\pi\)
\(264\) −4.60968 4.90301i −0.283706 0.301759i
\(265\) −5.42780 4.16489i −0.333427 0.255847i
\(266\) 0.817644 0.103325i 0.0501330 0.00633527i
\(267\) −5.19945 4.11703i −0.318201 0.251958i
\(268\) −11.1376 + 12.4368i −0.680337 + 0.759701i
\(269\) 7.93176 + 5.29983i 0.483608 + 0.323136i 0.773362 0.633965i \(-0.218574\pi\)
−0.289754 + 0.957101i \(0.593574\pi\)
\(270\) −4.74552 13.3391i −0.288803 0.811794i
\(271\) 16.7254 16.7254i 1.01599 1.01599i 0.0161232 0.999870i \(-0.494868\pi\)
0.999870 0.0161232i \(-0.00513241\pi\)
\(272\) 10.6047 + 6.42013i 0.643002 + 0.389278i
\(273\) −1.09646 3.39934i −0.0663605 0.205737i
\(274\) −17.6791 1.25105i −1.06804 0.0755787i
\(275\) −0.115711 + 1.76541i −0.00697762 + 0.106458i
\(276\) 4.68580 4.45157i 0.282052 0.267953i
\(277\) 5.16415 5.88858i 0.310284 0.353811i −0.575589 0.817739i \(-0.695227\pi\)
0.885873 + 0.463929i \(0.153561\pi\)
\(278\) −0.514294 1.26010i −0.0308453 0.0755756i
\(279\) −0.141311 + 4.63617i −0.00846008 + 0.277560i
\(280\) 2.47128 + 6.23960i 0.147687 + 0.372887i
\(281\) −5.28881 + 4.05825i −0.315504 + 0.242095i −0.754357 0.656464i \(-0.772051\pi\)
0.438853 + 0.898559i \(0.355385\pi\)
\(282\) −0.990478 21.9871i −0.0589821 1.30931i
\(283\) −1.48687 + 3.01506i −0.0883850 + 0.179227i −0.936577 0.350462i \(-0.886025\pi\)
0.848192 + 0.529689i \(0.177691\pi\)
\(284\) 2.11913 + 0.591493i 0.125747 + 0.0350986i
\(285\) −1.53136 + 0.385421i −0.0907102 + 0.0228304i
\(286\) 2.43457 + 2.15754i 0.143959 + 0.127578i
\(287\) 1.58436i 0.0935217i
\(288\) −16.4312 4.24467i −0.968215 0.250120i
\(289\) 7.39519i 0.435011i
\(290\) 13.3800 15.0980i 0.785700 0.886583i
\(291\) 8.08000 + 8.33003i 0.473658 + 0.488315i
\(292\) 15.4504 8.70748i 0.904169 0.509567i
\(293\) 9.23351 18.7237i 0.539427 1.09385i −0.441098 0.897459i \(-0.645411\pi\)
0.980526 0.196392i \(-0.0629224\pi\)
\(294\) 6.18542 11.9224i 0.360741 0.695326i
\(295\) −20.9454 + 16.0720i −1.21949 + 0.935746i
\(296\) −3.57340 + 3.46368i −0.207700 + 0.201322i
\(297\) 0.140920 + 7.13652i 0.00817701 + 0.414103i
\(298\) −1.22802 + 0.501201i −0.0711371 + 0.0290338i
\(299\) −2.05994 + 2.34891i −0.119129 + 0.135841i
\(300\) 2.13098 + 3.91963i 0.123032 + 0.226300i
\(301\) 0.745536 11.3747i 0.0429720 0.655626i
\(302\) 0.966466 13.6575i 0.0556138 0.785903i
\(303\) −12.8021 2.74989i −0.735462 0.157977i
\(304\) −0.645545 + 1.77932i −0.0370246 + 0.102051i
\(305\) −13.2171 + 13.2171i −0.756809 + 0.756809i
\(306\) −3.77981 12.5936i −0.216077 0.719930i
\(307\) 12.1223 + 8.09988i 0.691857 + 0.462284i 0.851133 0.524950i \(-0.175916\pi\)
−0.159276 + 0.987234i \(0.550916\pi\)
\(308\) −0.186188 3.37835i −0.0106091 0.192499i
\(309\) 0.235516 1.60014i 0.0133980 0.0910289i
\(310\) 0.528159 + 4.17949i 0.0299974 + 0.237379i
\(311\) 25.9868 + 19.9403i 1.47357 + 1.13071i 0.962536 + 0.271155i \(0.0874056\pi\)
0.511038 + 0.859558i \(0.329261\pi\)
\(312\) 8.09624 + 1.32090i 0.458359 + 0.0747813i
\(313\) −8.09855 + 6.21424i −0.457757 + 0.351249i −0.811756 0.583996i \(-0.801488\pi\)
0.353999 + 0.935246i \(0.384822\pi\)
\(314\) −21.7427 + 21.5179i −1.22701 + 1.21432i
\(315\) 2.49239 6.66767i 0.140430 0.375680i
\(316\) −5.63510 14.0146i −0.316999 0.788381i
\(317\) 12.2263 + 4.15026i 0.686695 + 0.233102i 0.642913 0.765940i \(-0.277726\pi\)
0.0437824 + 0.999041i \(0.486059\pi\)
\(318\) 7.96629 + 3.49210i 0.446728 + 0.195827i
\(319\) −8.80802 + 5.08531i −0.493155 + 0.284723i
\(320\) −15.3415 1.48708i −0.857617 0.0831304i
\(321\) 22.9013 + 11.7308i 1.27823 + 0.654748i
\(322\) 3.24361 0.195675i 0.180759 0.0109045i
\(323\) −1.43835 + 0.286105i −0.0800318 + 0.0159193i
\(324\) 9.91201 + 15.0250i 0.550667 + 0.834725i
\(325\) −1.19814 1.79314i −0.0664608 0.0994655i
\(326\) 1.42347 0.373500i 0.0788386 0.0206862i
\(327\) −1.57820 1.85589i −0.0872748 0.102631i
\(328\) 3.23803 + 1.66007i 0.178790 + 0.0916619i
\(329\) 6.73632 8.77895i 0.371386 0.483999i
\(330\) 1.13459 + 6.38292i 0.0624574 + 0.351368i
\(331\) −16.2857 + 18.5703i −0.895145 + 1.02072i 0.104512 + 0.994524i \(0.466672\pi\)
−0.999657 + 0.0261932i \(0.991661\pi\)
\(332\) −18.5933 + 12.1460i −1.02044 + 0.666600i
\(333\) 5.27523 0.184598i 0.289081 0.0101159i
\(334\) −25.9124 + 5.01445i −1.41786 + 0.274379i
\(335\) 15.5349 4.16256i 0.848761 0.227425i
\(336\) −4.94696 6.95178i −0.269879 0.379250i
\(337\) −29.9972 8.03773i −1.63405 0.437843i −0.678965 0.734170i \(-0.737571\pi\)
−0.955086 + 0.296327i \(0.904238\pi\)
\(338\) 14.3835 + 1.01784i 0.782358 + 0.0553630i
\(339\) 3.30149 + 1.97378i 0.179312 + 0.107201i
\(340\) −5.17029 10.7649i −0.280398 0.583810i
\(341\) 0.414347 2.08306i 0.0224382 0.112804i
\(342\) 1.77334 0.941173i 0.0958914 0.0508928i
\(343\) 14.2033 5.88321i 0.766908 0.317664i
\(344\) 22.4658 + 13.4419i 1.21128 + 0.724739i
\(345\) −6.12443 + 1.12151i −0.329728 + 0.0603802i
\(346\) 1.11170 + 1.94884i 0.0597655 + 0.104770i
\(347\) −18.5589 9.15224i −0.996294 0.491318i −0.130355 0.991467i \(-0.541612\pi\)
−0.865939 + 0.500150i \(0.833278\pi\)
\(348\) −11.9294 + 22.7045i −0.639485 + 1.21709i
\(349\) 28.2673 + 9.59547i 1.51312 + 0.513634i 0.949867 0.312654i \(-0.101218\pi\)
0.563249 + 0.826287i \(0.309551\pi\)
\(350\) −0.449030 + 2.19768i −0.0240017 + 0.117471i
\(351\) −5.43202 6.79697i −0.289940 0.362795i
\(352\) 7.09958 + 3.15926i 0.378409 + 0.168389i
\(353\) 3.92924 6.80564i 0.209132 0.362228i −0.742309 0.670058i \(-0.766269\pi\)
0.951441 + 0.307830i \(0.0996027\pi\)
\(354\) 20.9729 26.2060i 1.11470 1.39283i
\(355\) −1.39747 1.59351i −0.0741698 0.0845745i
\(356\) 7.37611 + 2.05882i 0.390933 + 0.109117i
\(357\) 2.62257 6.06826i 0.138801 0.321166i
\(358\) −9.77150 + 16.7234i −0.516440 + 0.883860i
\(359\) −4.36281 + 10.5328i −0.230260 + 0.555898i −0.996208 0.0870053i \(-0.972270\pi\)
0.765947 + 0.642903i \(0.222270\pi\)
\(360\) 11.0155 + 12.0801i 0.580569 + 0.636676i
\(361\) 7.18529 + 17.3468i 0.378173 + 0.912991i
\(362\) 1.95936 14.3079i 0.102982 0.752005i
\(363\) −2.29841 + 15.6159i −0.120635 + 0.819622i
\(364\) 2.68700 + 3.12895i 0.140837 + 0.164001i
\(365\) −17.0484 1.11741i −0.892355 0.0584880i
\(366\) 12.2999 20.3331i 0.642928 1.06283i
\(367\) −8.16061 + 2.18663i −0.425981 + 0.114141i −0.465439 0.885080i \(-0.654103\pi\)
0.0394582 + 0.999221i \(0.487437\pi\)
\(368\) −2.99870 + 6.83414i −0.156318 + 0.356254i
\(369\) −1.36765 3.60905i −0.0711969 0.187880i
\(370\) 4.70681 0.910841i 0.244695 0.0473524i
\(371\) 1.93418 + 3.92214i 0.100418 + 0.203627i
\(372\) −1.92213 4.99908i −0.0996577 0.259190i
\(373\) −11.0251 + 3.74253i −0.570860 + 0.193781i −0.591919 0.805998i \(-0.701629\pi\)
0.0210594 + 0.999778i \(0.493296\pi\)
\(374\) 0.754831 + 5.97322i 0.0390314 + 0.308868i
\(375\) 1.69122 20.9152i 0.0873340 1.08005i
\(376\) 10.8837 + 22.9658i 0.561285 + 1.18437i
\(377\) 4.74439 11.4540i 0.244348 0.589909i
\(378\) −1.05060 + 8.98865i −0.0540370 + 0.462326i
\(379\) −19.5353 + 13.0531i −1.00346 + 0.670493i −0.944753 0.327782i \(-0.893699\pi\)
−0.0587101 + 0.998275i \(0.518699\pi\)
\(380\) 1.45807 1.09493i 0.0747974 0.0561686i
\(381\) 5.66341 19.9173i 0.290145 1.02039i
\(382\) −9.92837 + 19.8717i −0.507980 + 1.01673i
\(383\) 10.8460 + 18.7859i 0.554206 + 0.959912i 0.997965 + 0.0637663i \(0.0203112\pi\)
−0.443759 + 0.896146i \(0.646355\pi\)
\(384\) 19.3910 2.82637i 0.989544 0.144233i
\(385\) −1.62972 + 2.82275i −0.0830581 + 0.143861i
\(386\) 3.19306 + 4.83293i 0.162522 + 0.245990i
\(387\) −8.12056 26.5543i −0.412791 1.34983i
\(388\) −12.3263 5.25646i −0.625772 0.266856i
\(389\) 1.06012 + 16.1743i 0.0537502 + 0.820070i 0.936597 + 0.350409i \(0.113957\pi\)
−0.882847 + 0.469661i \(0.844376\pi\)
\(390\) −5.83375 5.33081i −0.295403 0.269936i
\(391\) −5.73286 + 0.754745i −0.289923 + 0.0381691i
\(392\) −1.25549 + 15.4583i −0.0634119 + 0.780764i
\(393\) −10.8824 22.9419i −0.548943 1.15727i
\(394\) 23.4025 17.7649i 1.17900 0.894984i
\(395\) −2.83881 + 14.2717i −0.142836 + 0.718086i
\(396\) −3.34038 7.53491i −0.167860 0.378644i
\(397\) −6.95794 + 10.4133i −0.349209 + 0.522628i −0.963944 0.266106i \(-0.914263\pi\)
0.614735 + 0.788734i \(0.289263\pi\)
\(398\) −5.76103 + 16.6861i −0.288775 + 0.836397i
\(399\) 0.986860 + 0.211978i 0.0494048 + 0.0106121i
\(400\) −4.02101 3.22040i −0.201050 0.161020i
\(401\) −3.16286 + 11.8040i −0.157946 + 0.589461i 0.840889 + 0.541207i \(0.182032\pi\)
−0.998835 + 0.0482542i \(0.984634\pi\)
\(402\) −17.9128 + 9.85961i −0.893411 + 0.491753i
\(403\) 1.14506 + 2.32195i 0.0570394 + 0.115664i
\(404\) 14.8591 2.79544i 0.739268 0.139078i
\(405\) −0.0781755 17.3399i −0.00388457 0.861628i
\(406\) −11.9388 + 4.87268i −0.592513 + 0.241827i
\(407\) −2.39631 0.315480i −0.118781 0.0156378i
\(408\) 9.65410 + 11.7181i 0.477949 + 0.580132i
\(409\) 15.5365 2.04542i 0.768233 0.101140i 0.263784 0.964582i \(-0.415029\pi\)
0.504448 + 0.863442i \(0.331696\pi\)
\(410\) −1.73688 3.04480i −0.0857786 0.150372i
\(411\) −19.9254 8.61130i −0.982846 0.424764i
\(412\) 0.464593 + 1.80888i 0.0228889 + 0.0891171i
\(413\) 16.5512 3.29225i 0.814434 0.162001i
\(414\) 7.21980 3.24568i 0.354834 0.159516i
\(415\) 21.3947 1.05023
\(416\) −9.21018 + 2.21308i −0.451566 + 0.108505i
\(417\) −0.0836667 1.66479i −0.00409718 0.0815250i
\(418\) −0.872022 + 0.290967i −0.0426520 + 0.0142316i
\(419\) −14.2726 + 12.5167i −0.697262 + 0.611482i −0.932805 0.360382i \(-0.882646\pi\)
0.235543 + 0.971864i \(0.424313\pi\)
\(420\) 0.327222 + 8.21295i 0.0159668 + 0.400751i
\(421\) −2.18760 33.3764i −0.106617 1.62667i −0.631419 0.775442i \(-0.717527\pi\)
0.524802 0.851224i \(-0.324139\pi\)
\(422\) 4.71164 + 0.0244851i 0.229359 + 0.00119192i
\(423\) 7.76671 25.8127i 0.377630 1.25506i
\(424\) −10.0425 0.156575i −0.487705 0.00760396i
\(425\) 0.520988 3.95730i 0.0252716 0.191957i
\(426\) 2.20943 + 1.54250i 0.107047 + 0.0747345i
\(427\) 11.3137 3.84048i 0.547507 0.185854i
\(428\) −29.6262 2.25126i −1.43203 0.108819i
\(429\) 1.93926 + 3.48029i 0.0936284 + 0.168030i
\(430\) −11.0370 22.6771i −0.532250 1.09359i
\(431\) 3.38734 3.38734i 0.163162 0.163162i −0.620804 0.783966i \(-0.713194\pi\)
0.783966 + 0.620804i \(0.213194\pi\)
\(432\) −17.2697 11.5653i −0.830890 0.556437i
\(433\) −23.5186 23.5186i −1.13023 1.13023i −0.990138 0.140094i \(-0.955259\pi\)
−0.140094 0.990138i \(-0.544741\pi\)
\(434\) 0.878800 2.54533i 0.0421838 0.122180i
\(435\) 21.5830 12.0263i 1.03483 0.576618i
\(436\) 2.50990 + 1.27034i 0.120202 + 0.0608385i
\(437\) −0.283794 0.836031i −0.0135757 0.0399928i
\(438\) 21.3858 3.80144i 1.02185 0.181640i
\(439\) −13.5280 1.78099i −0.645654 0.0850020i −0.199414 0.979915i \(-0.563904\pi\)
−0.446240 + 0.894913i \(0.647237\pi\)
\(440\) −4.06140 6.28837i −0.193620 0.299786i
\(441\) 11.9809 11.2721i 0.570519 0.536769i
\(442\) −5.16247 5.21641i −0.245554 0.248119i
\(443\) 28.0055 1.83558i 1.33058 0.0872110i 0.616546 0.787319i \(-0.288531\pi\)
0.714037 + 0.700108i \(0.246865\pi\)
\(444\) −5.53376 + 2.55480i −0.262620 + 0.121245i
\(445\) −4.86419 5.54654i −0.230585 0.262931i
\(446\) −11.9524 + 23.9228i −0.565961 + 1.13278i
\(447\) −1.62240 + 0.0815367i −0.0767371 + 0.00385656i
\(448\) 8.37455 + 5.18971i 0.395660 + 0.245191i
\(449\) 2.50970i 0.118440i −0.998245 0.0592201i \(-0.981139\pi\)
0.998245 0.0592201i \(-0.0188614\pi\)
\(450\) 0.874217 + 5.39376i 0.0412110 + 0.254264i
\(451\) 0.344774 + 1.73330i 0.0162348 + 0.0816177i
\(452\) −4.39731 0.625477i −0.206832 0.0294200i
\(453\) 6.65243 15.3928i 0.312558 0.723217i
\(454\) −16.3523 4.47280i −0.767452 0.209919i
\(455\) −0.518600 3.93916i −0.0243124 0.184671i
\(456\) −1.46725 + 1.79479i −0.0687101 + 0.0840485i
\(457\) −4.55856 + 34.6257i −0.213241 + 1.61972i 0.465295 + 0.885156i \(0.345948\pi\)
−0.678535 + 0.734568i \(0.737385\pi\)
\(458\) 19.9977 + 8.40533i 0.934430 + 0.392755i
\(459\) 0.735782 16.0869i 0.0343434 0.750872i
\(460\) 6.01903 3.93192i 0.280639 0.183327i
\(461\) −29.2929 + 14.4457i −1.36431 + 0.672802i −0.969301 0.245877i \(-0.920924\pi\)
−0.395006 + 0.918679i \(0.629257\pi\)
\(462\) 1.15407 3.97995i 0.0536923 0.185164i
\(463\) 10.2144 + 2.73695i 0.474705 + 0.127197i 0.488236 0.872712i \(-0.337641\pi\)
−0.0135312 + 0.999908i \(0.504307\pi\)
\(464\) 2.55077 29.5054i 0.118417 1.36975i
\(465\) −1.08355 + 5.04446i −0.0502484 + 0.233931i
\(466\) 1.61349 0.785286i 0.0747433 0.0363777i
\(467\) −22.0973 14.7649i −1.02254 0.683240i −0.0731452 0.997321i \(-0.523304\pi\)
−0.949396 + 0.314081i \(0.898304\pi\)
\(468\) 8.82176 + 4.80805i 0.407786 + 0.222252i
\(469\) −10.0826 2.00556i −0.465571 0.0926079i
\(470\) 3.32171 24.2561i 0.153219 1.11885i
\(471\) −33.8501 + 16.0566i −1.55973 + 0.739850i
\(472\) −10.6136 + 37.2761i −0.488532 + 1.71577i
\(473\) 1.65964 + 12.6062i 0.0763102 + 0.579634i
\(474\) −0.832540 18.4811i −0.0382398 0.848864i
\(475\) 0.608136 0.0398594i 0.0279032 0.00182887i
\(476\) −0.0793353 + 7.63299i −0.00363633 + 0.349858i
\(477\) 7.79159 + 7.26471i 0.356752 + 0.332628i
\(478\) 5.98704 + 1.22327i 0.273841 + 0.0559512i
\(479\) −8.82264 5.09375i −0.403117 0.232739i 0.284711 0.958613i \(-0.408102\pi\)
−0.687828 + 0.725874i \(0.741436\pi\)
\(480\) −17.1280 7.93665i −0.781785 0.362257i
\(481\) 2.55151 1.47312i 0.116339 0.0671684i
\(482\) 34.9996 11.6783i 1.59419 0.531932i
\(483\) 3.82807 + 1.08850i 0.174183 + 0.0495284i
\(484\) −4.53400 17.6530i −0.206091 0.802408i
\(485\) 7.17187 + 10.7335i 0.325658 + 0.487381i
\(486\) 5.36598 + 21.3824i 0.243406 + 0.969925i
\(487\) −9.72605 4.02866i −0.440729 0.182556i 0.151274 0.988492i \(-0.451663\pi\)
−0.592003 + 0.805936i \(0.701663\pi\)
\(488\) −4.00534 + 27.1463i −0.181313 + 1.22885i
\(489\) 1.79654 + 0.145269i 0.0812421 + 0.00656930i
\(490\) 9.15676 11.8058i 0.413660 0.533331i
\(491\) 1.35412 + 3.98912i 0.0611107 + 0.180026i 0.973198 0.229971i \(-0.0738631\pi\)
−0.912087 + 0.409997i \(0.865530\pi\)
\(492\) 3.06948 + 3.23099i 0.138383 + 0.145664i
\(493\) 20.5794 10.1487i 0.926851 0.457073i
\(494\) 0.627394 0.928480i 0.0282278 0.0417743i
\(495\) −1.27573 + 7.83683i −0.0573396 + 0.352239i
\(496\) 4.28121 + 4.46300i 0.192232 + 0.200395i
\(497\) 0.350638 + 1.30860i 0.0157283 + 0.0586987i
\(498\) −26.4118 + 6.50170i −1.18354 + 0.291348i
\(499\) −0.584936 + 8.92439i −0.0261853 + 0.399511i 0.964568 + 0.263835i \(0.0849873\pi\)
−0.990753 + 0.135676i \(0.956679\pi\)
\(500\) 7.54946 + 23.0234i 0.337622 + 1.02964i
\(501\) −31.9803 4.70700i −1.42878 0.210293i
\(502\) 20.8569 + 27.4757i 0.930890 + 1.22630i
\(503\) 24.1518 10.0040i 1.07688 0.446057i 0.227464 0.973787i \(-0.426957\pi\)
0.849412 + 0.527730i \(0.176957\pi\)
\(504\) −2.89981 10.0395i −0.129168 0.447193i
\(505\) −13.4567 5.57396i −0.598817 0.248038i
\(506\) −3.50594 + 0.919914i −0.155858 + 0.0408952i
\(507\) 16.2110 + 7.00603i 0.719956 + 0.311149i
\(508\) 2.87436 + 23.7368i 0.127529 + 1.05315i
\(509\) −27.3833 + 24.0145i −1.21374 + 1.06443i −0.217660 + 0.976025i \(0.569842\pi\)
−0.996085 + 0.0884008i \(0.971824\pi\)
\(510\) −1.61243 14.5370i −0.0713995 0.643708i
\(511\) 9.45758 + 5.46034i 0.418379 + 0.241551i
\(512\) −19.3812 + 11.6778i −0.856535 + 0.516089i
\(513\) 2.43098 0.369007i 0.107330 0.0162920i
\(514\) 15.7837 10.4281i 0.696188 0.459963i
\(515\) 0.578309 1.70364i 0.0254833 0.0750715i
\(516\) 20.5165 + 24.6408i 0.903189 + 1.08475i
\(517\) −5.45918 + 11.0701i −0.240094 + 0.486863i
\(518\) −2.95581 0.808495i −0.129871 0.0355232i
\(519\) 0.494962 + 2.70293i 0.0217264 + 0.118645i
\(520\) 8.59403 + 3.06751i 0.376873 + 0.134519i
\(521\) −8.39543 20.2684i −0.367810 0.887973i −0.994109 0.108389i \(-0.965431\pi\)
0.626298 0.779584i \(-0.284569\pi\)
\(522\) −22.9895 + 21.4054i −1.00622 + 0.936889i
\(523\) 16.5472 + 3.29144i 0.723558 + 0.143925i 0.543112 0.839660i \(-0.317246\pi\)
0.180446 + 0.983585i \(0.442246\pi\)
\(524\) 21.8420 + 19.5602i 0.954172 + 0.854493i
\(525\) −1.40969 + 2.35794i −0.0615238 + 0.102909i
\(526\) −33.7093 + 29.2537i −1.46979 + 1.27552i
\(527\) −1.24017 + 4.62836i −0.0540225 + 0.201615i
\(528\) 6.92479 + 6.52876i 0.301363 + 0.284128i
\(529\) 5.05186 + 18.8538i 0.219646 + 0.819731i
\(530\) 8.01681 + 5.41714i 0.348228 + 0.235305i
\(531\) 34.8606 21.7868i 1.51282 0.945468i
\(532\) −1.14543 + 0.215489i −0.0496605 + 0.00934262i
\(533\) −1.61963 1.42038i −0.0701541 0.0615235i
\(534\) 7.69039 + 5.36902i 0.332796 + 0.232340i
\(535\) 22.7076 + 17.4242i 0.981735 + 0.753312i
\(536\) 14.6632 18.5049i 0.633356 0.799290i
\(537\) −18.0713 + 15.3675i −0.779836 + 0.663155i
\(538\) −11.6482 6.80603i −0.502188 0.293429i
\(539\) −6.26298 + 4.18479i −0.269766 + 0.180252i
\(540\) 7.83496 + 18.4260i 0.337163 + 0.792931i
\(541\) 6.42389 + 32.2951i 0.276185 + 1.38847i 0.830894 + 0.556430i \(0.187829\pi\)
−0.554710 + 0.832044i \(0.687171\pi\)
\(542\) −22.1860 + 25.0346i −0.952970 + 1.07533i
\(543\) 8.06354 15.7420i 0.346040 0.675554i
\(544\) −15.5168 8.15988i −0.665276 0.349852i
\(545\) −1.35497 2.34688i −0.0580406 0.100529i
\(546\) 1.83729 + 4.70529i 0.0786289 + 0.201368i
\(547\) −9.03509 + 26.6165i −0.386313 + 1.13804i 0.563740 + 0.825952i \(0.309362\pi\)
−0.950053 + 0.312089i \(0.898971\pi\)
\(548\) 25.0632 + 0.260501i 1.07065 + 0.0111280i
\(549\) 22.4566 18.5145i 0.958423 0.790180i
\(550\) 0.0130021 2.50198i 0.000554413 0.106685i
\(551\) 2.13281 + 2.77953i 0.0908606 + 0.118412i
\(552\) −6.23561 + 6.68309i −0.265405 + 0.284451i
\(553\) 5.66217 7.37909i 0.240780 0.313791i
\(554\) −6.78849 + 8.75237i −0.288415 + 0.371853i
\(555\) 5.80900 + 0.854994i 0.246578 + 0.0362925i
\(556\) 0.833311 + 1.73502i 0.0353402 + 0.0735811i
\(557\) −20.3822 + 30.5042i −0.863623 + 1.29250i 0.0913529 + 0.995819i \(0.470881\pi\)
−0.954976 + 0.296684i \(0.904119\pi\)
\(558\) −0.195331 6.55667i −0.00826903 0.277566i
\(559\) −10.9596 10.9596i −0.463540 0.463540i
\(560\) −4.01994 8.59765i −0.169873 0.363317i
\(561\) −1.54858 + 7.20941i −0.0653811 + 0.304381i
\(562\) 7.12034 6.17921i 0.300353 0.260654i
\(563\) 11.9824 + 0.785371i 0.505000 + 0.0330994i 0.315774 0.948834i \(-0.397736\pi\)
0.189225 + 0.981934i \(0.439402\pi\)
\(564\) 3.27061 + 30.9536i 0.137717 + 1.30338i
\(565\) 3.21693 + 2.82117i 0.135337 + 0.118687i
\(566\) 1.84217 4.38283i 0.0774321 0.184224i
\(567\) −4.85735 + 9.96271i −0.203989 + 0.418394i
\(568\) −3.04184 0.654515i −0.127633 0.0274629i
\(569\) 3.75336 + 4.89148i 0.157349 + 0.205061i 0.865375 0.501125i \(-0.167080\pi\)
−0.708025 + 0.706187i \(0.750414\pi\)
\(570\) 2.12892 0.674489i 0.0891708 0.0282512i
\(571\) 18.3458 + 9.04712i 0.767746 + 0.378610i 0.783601 0.621264i \(-0.213381\pi\)
−0.0158555 + 0.999874i \(0.505047\pi\)
\(572\) −3.62049 2.83836i −0.151380 0.118678i
\(573\) −19.5287 + 18.9425i −0.815822 + 0.791335i
\(574\) 0.134923 + 2.23656i 0.00563157 + 0.0933520i
\(575\) 2.40295 0.100210
\(576\) 23.5565 + 4.59271i 0.981519 + 0.191363i
\(577\) 39.1554 1.63006 0.815030 0.579418i \(-0.196720\pi\)
0.815030 + 0.579418i \(0.196720\pi\)
\(578\) 0.629770 + 10.4394i 0.0261950 + 0.434222i
\(579\) 1.73153 + 6.87976i 0.0719601 + 0.285913i
\(580\) −17.6021 + 22.4524i −0.730887 + 0.932286i
\(581\) −12.2651 6.04850i −0.508844 0.250934i
\(582\) −12.1155 11.0710i −0.502203 0.458907i
\(583\) −2.96951 3.86994i −0.122984 0.160276i
\(584\) −21.0691 + 13.6076i −0.871844 + 0.563088i
\(585\) −4.58169 8.52545i −0.189429 0.352484i
\(586\) −11.4400 + 27.2176i −0.472580 + 1.12435i
\(587\) −25.3993 22.2746i −1.04834 0.919370i −0.0514895 0.998674i \(-0.516397\pi\)
−0.996850 + 0.0793040i \(0.974730\pi\)
\(588\) −7.71634 + 17.3569i −0.318216 + 0.715787i
\(589\) −0.730053 0.0478502i −0.0300813 0.00197163i
\(590\) 28.1988 24.4716i 1.16093 1.00748i
\(591\) 34.2474 11.0465i 1.40875 0.454391i
\(592\) 4.74942 5.19381i 0.195200 0.213464i
\(593\) 5.92112 + 5.92112i 0.243151 + 0.243151i 0.818153 0.575001i \(-0.194998\pi\)
−0.575001 + 0.818153i \(0.694998\pi\)
\(594\) −0.806670 10.0622i −0.0330981 0.412859i
\(595\) 4.08542 6.11426i 0.167486 0.250660i
\(596\) 1.69085 0.812096i 0.0692597 0.0332648i
\(597\) −13.4212 + 16.9497i −0.549292 + 0.693707i
\(598\) 2.70787 3.49125i 0.110733 0.142768i
\(599\) −15.9809 + 20.8267i −0.652962 + 0.850957i −0.996091 0.0883316i \(-0.971846\pi\)
0.343129 + 0.939288i \(0.388513\pi\)
\(600\) −3.34199 5.35166i −0.136436 0.218481i
\(601\) 11.1661 + 14.5519i 0.455473 + 0.593584i 0.963484 0.267767i \(-0.0862856\pi\)
−0.508011 + 0.861351i \(0.669619\pi\)
\(602\) −0.0837740 + 16.1205i −0.00341437 + 0.657024i
\(603\) −24.6987 + 4.13498i −1.00581 + 0.168389i
\(604\) −0.201243 + 19.3619i −0.00818845 + 0.787825i
\(605\) −5.64376 + 16.6260i −0.229451 + 0.675942i
\(606\) 18.3062 + 2.79166i 0.743640 + 0.113403i
\(607\) −1.68346 2.91584i −0.0683295 0.118350i 0.829837 0.558007i \(-0.188434\pi\)
−0.898166 + 0.439656i \(0.855100\pi\)
\(608\) 0.759756 2.56675i 0.0308122 0.104095i
\(609\) −15.7730 + 0.792701i −0.639156 + 0.0321219i
\(610\) 17.5323 19.7834i 0.709863 0.801008i
\(611\) −2.93528 14.7567i −0.118749 0.596990i
\(612\) 6.40822 + 17.4559i 0.259037 + 0.705612i
\(613\) 30.4720 20.3608i 1.23075 0.822363i 0.241762 0.970336i \(-0.422275\pi\)
0.988991 + 0.147972i \(0.0472747\pi\)
\(614\) −17.8022 10.4018i −0.718439 0.419784i
\(615\) −0.773312 4.22296i −0.0311829 0.170286i
\(616\) 0.550530 + 4.75318i 0.0221815 + 0.191511i
\(617\) −34.9523 26.8198i −1.40713 1.07973i −0.984879 0.173246i \(-0.944574\pi\)
−0.422248 0.906480i \(-0.638759\pi\)
\(618\) −0.196198 + 2.27889i −0.00789225 + 0.0916705i
\(619\) 35.7088 + 31.3158i 1.43526 + 1.25869i 0.914258 + 0.405133i \(0.132775\pi\)
0.521002 + 0.853556i \(0.325558\pi\)
\(620\) −1.10150 5.85499i −0.0442372 0.235142i
\(621\) 9.65967 0.824939i 0.387629 0.0331037i
\(622\) −38.3822 25.9357i −1.53899 1.03993i
\(623\) 1.22047 + 4.55487i 0.0488972 + 0.182487i
\(624\) −11.5415 1.17518i −0.462030 0.0470447i
\(625\) 4.37449 16.3258i 0.174980 0.653033i
\(626\) 10.9031 9.46198i 0.435775 0.378177i
\(627\) −1.12576 0.0171527i −0.0449585 0.000685012i
\(628\) 28.8605 32.2272i 1.15166 1.28601i
\(629\) 5.34815 + 1.06381i 0.213245 + 0.0424170i
\(630\) −2.95056 + 9.62464i −0.117553 + 0.383455i
\(631\) −7.79289 18.8137i −0.310230 0.748962i −0.999696 0.0246440i \(-0.992155\pi\)
0.689466 0.724318i \(-0.257845\pi\)
\(632\) 9.14824 + 19.3037i 0.363897 + 0.767862i
\(633\) 5.43550 + 1.93794i 0.216042 + 0.0770263i
\(634\) −17.6126 4.81752i −0.699486 0.191328i
\(635\) 10.1875 20.6582i 0.404278 0.819796i
\(636\) −11.5430 4.25120i −0.457709 0.168571i
\(637\) 2.95139 8.69451i 0.116938 0.344489i
\(638\) 12.0008 7.92875i 0.475115 0.313902i
\(639\) 1.92833 + 2.67822i 0.0762837 + 0.105949i
\(640\) 21.7835 + 0.792762i 0.861067 + 0.0313367i
\(641\) −26.9327 15.5496i −1.06378 0.614171i −0.137302 0.990529i \(-0.543843\pi\)
−0.926474 + 0.376358i \(0.877176\pi\)
\(642\) −33.3276 14.6095i −1.31534 0.576589i
\(643\) 33.8327 29.6705i 1.33423 1.17009i 0.363045 0.931771i \(-0.381737\pi\)
0.971187 0.238319i \(-0.0765963\pi\)
\(644\) −4.56217 + 0.552447i −0.179775 + 0.0217695i
\(645\) −3.56473 30.6821i −0.140361 1.20810i
\(646\) 2.00608 0.526368i 0.0789280 0.0207097i
\(647\) 0.0953182 + 0.0394821i 0.00374734 + 0.00155220i 0.384556 0.923102i \(-0.374354\pi\)
−0.380809 + 0.924654i \(0.624354\pi\)
\(648\) −15.2718 20.3660i −0.599933 0.800051i
\(649\) −17.3907 + 7.20347i −0.682645 + 0.282761i
\(650\) 1.84405 + 2.42925i 0.0723296 + 0.0952830i
\(651\) 2.04729 2.58555i 0.0802397 0.101336i
\(652\) −1.97763 + 0.648471i −0.0774499 + 0.0253961i
\(653\) 2.42674 37.0250i 0.0949659 1.44890i −0.638735 0.769427i \(-0.720542\pi\)
0.733701 0.679472i \(-0.237791\pi\)
\(654\) 2.38591 + 2.48546i 0.0932965 + 0.0971890i
\(655\) −7.31043 27.2829i −0.285642 1.06603i
\(656\) −4.71232 2.06768i −0.183985 0.0807294i
\(657\) 26.2571 + 4.27429i 1.02439 + 0.166756i
\(658\) −8.76170 + 12.9664i −0.341567 + 0.505484i
\(659\) −16.2990 + 8.03776i −0.634918 + 0.313107i −0.731114 0.682256i \(-0.760999\pi\)
0.0961960 + 0.995362i \(0.469332\pi\)
\(660\) −2.14521 8.91380i −0.0835023 0.346969i
\(661\) 0.401001 + 1.18131i 0.0155971 + 0.0459477i 0.954450 0.298371i \(-0.0964433\pi\)
−0.938853 + 0.344319i \(0.888110\pi\)
\(662\) 21.4083 27.6016i 0.832056 1.07277i
\(663\) −3.85223 8.12116i −0.149608 0.315400i
\(664\) 25.2128 18.7293i 0.978447 0.726838i
\(665\) 1.03732 + 0.429674i 0.0402257 + 0.0166620i
\(666\) −7.43104 + 0.709822i −0.287947 + 0.0275050i
\(667\) 7.67460 + 11.4859i 0.297162 + 0.444734i
\(668\) 36.1521 9.28532i 1.39877 0.359260i
\(669\) −23.5098 + 22.8041i −0.908941 + 0.881659i
\(670\) −21.5753 + 7.19900i −0.833526 + 0.278122i
\(671\) −11.5415 + 6.66348i −0.445554 + 0.257241i
\(672\) 7.57537 + 9.39218i 0.292226 + 0.362311i
\(673\) −26.2437 15.1518i −1.01162 0.584059i −0.0999538 0.994992i \(-0.531869\pi\)
−0.911665 + 0.410934i \(0.865203\pi\)
\(674\) 43.0300 + 8.79189i 1.65745 + 0.338651i
\(675\) −1.17574 + 6.58809i −0.0452544 + 0.253576i
\(676\) −20.3911 0.211940i −0.784272 0.00815152i
\(677\) −1.15610 + 0.0757746i −0.0444324 + 0.00291225i −0.0876031 0.996155i \(-0.527921\pi\)
0.0431707 + 0.999068i \(0.486254\pi\)
\(678\) −4.82863 2.50513i −0.185442 0.0962090i
\(679\) −1.07702 8.18082i −0.0413324 0.313951i
\(680\) 8.21535 + 14.7560i 0.315044 + 0.565866i
\(681\) −17.0861 11.7970i −0.654742 0.452063i
\(682\) −0.407520 + 2.97584i −0.0156047 + 0.113951i
\(683\) −7.19152 1.43048i −0.275176 0.0547359i 0.0555731 0.998455i \(-0.482301\pi\)
−0.330749 + 0.943719i \(0.607301\pi\)
\(684\) −2.42318 + 1.47962i −0.0926527 + 0.0565747i
\(685\) −20.0764 13.4146i −0.767080 0.512547i
\(686\) −19.5491 + 9.51457i −0.746387 + 0.363268i
\(687\) 19.7054 + 17.8195i 0.751806 + 0.679856i
\(688\) −32.8585 17.0621i −1.25272 0.650485i
\(689\) 5.74346 + 1.53896i 0.218808 + 0.0586295i
\(690\) 8.55003 2.10473i 0.325494 0.0801257i
\(691\) 21.9898 10.8441i 0.836530 0.412531i 0.0270184 0.999635i \(-0.491399\pi\)
0.809511 + 0.587104i \(0.199732\pi\)
\(692\) −1.73529 2.65641i −0.0659659 0.100981i
\(693\) 2.94689 4.13203i 0.111943 0.156963i
\(694\) 26.9780 + 11.3393i 1.02407 + 0.430433i
\(695\) 0.242021 1.83833i 0.00918037 0.0697318i
\(696\) 14.9067 33.0667i 0.565036 1.25339i
\(697\) −0.520417 3.95296i −0.0197122 0.149729i
\(698\) −40.7207 11.1382i −1.54130 0.421587i
\(699\) 2.18305 0.253633i 0.0825704 0.00959326i
\(700\) 0.446719 3.14058i 0.0168844 0.118703i
\(701\) 0.293804 + 1.47705i 0.0110968 + 0.0557875i 0.985937 0.167118i \(-0.0534460\pi\)
−0.974840 + 0.222905i \(0.928446\pi\)
\(702\) 8.24691 + 9.13233i 0.311260 + 0.344678i
\(703\) 0.832590i 0.0314017i
\(704\) −10.2911 3.85517i −0.387862 0.145297i
\(705\) 13.6701 26.6874i 0.514846 1.00511i
\(706\) −4.96714 + 9.94178i −0.186941 + 0.374164i
\(707\) 6.13865 + 6.99978i 0.230868 + 0.263254i
\(708\) −27.3747 + 38.7797i −1.02880 + 1.45743i
\(709\) −30.7589 + 2.01604i −1.15517 + 0.0757141i −0.630920 0.775848i \(-0.717323\pi\)
−0.524254 + 0.851562i \(0.675656\pi\)
\(710\) 2.10843 + 2.13046i 0.0791280 + 0.0799547i
\(711\) 6.52825 21.6967i 0.244829 0.813690i
\(712\) −10.5878 2.27818i −0.396794 0.0853786i
\(713\) −2.86000 0.376527i −0.107108 0.0141010i
\(714\) −3.18537 + 8.78958i −0.119209 + 0.328942i
\(715\) 1.42456 + 4.19661i 0.0532754 + 0.156944i
\(716\) 12.3698 24.4397i 0.462279 0.913355i
\(717\) 6.42365 + 3.84035i 0.239896 + 0.143421i
\(718\) 5.26179 15.2401i 0.196368 0.568755i
\(719\) −17.8291 17.8291i −0.664914 0.664914i 0.291620 0.956534i \(-0.405806\pi\)
−0.956534 + 0.291620i \(0.905806\pi\)
\(720\) −16.5788 16.1147i −0.617854 0.600561i
\(721\) −0.813169 + 0.813169i −0.0302840 + 0.0302840i
\(722\) −11.6203 23.8757i −0.432465 0.888562i
\(723\) 45.1837 + 0.688443i 1.68040 + 0.0256035i
\(724\) −1.54748 + 20.3645i −0.0575116 + 0.756842i
\(725\) −9.02947 + 3.06509i −0.335346 + 0.113835i
\(726\) 1.91471 22.2399i 0.0710616 0.825399i
\(727\) −5.82411 + 44.2385i −0.216004 + 1.64072i 0.448753 + 0.893656i \(0.351868\pi\)
−0.664757 + 0.747060i \(0.731465\pi\)
\(728\) −4.05956 4.18815i −0.150457 0.155223i
\(729\) −2.46469 + 26.8873i −0.0912849 + 0.995825i
\(730\) 24.1615 + 0.125561i 0.894257 + 0.00464721i
\(731\) −1.87616 28.6246i −0.0693922 1.05872i
\(732\) −15.6316 + 29.7506i −0.577761 + 1.09961i
\(733\) 16.3078 14.3016i 0.602343 0.528241i −0.302962 0.953003i \(-0.597976\pi\)
0.905305 + 0.424762i \(0.139642\pi\)
\(734\) 11.3337 3.78170i 0.418334 0.139585i
\(735\) 15.3677 9.93312i 0.566848 0.366389i
\(736\) 3.65111 9.90276i 0.134582 0.365021i
\(737\) 11.4669 0.422387
\(738\) 2.23798 + 4.97824i 0.0823812 + 0.183252i
\(739\) −17.9871 + 3.57786i −0.661667 + 0.131614i −0.514490 0.857496i \(-0.672019\pi\)
−0.147177 + 0.989110i \(0.547019\pi\)
\(740\) −6.56678 + 1.68661i −0.241400 + 0.0620012i
\(741\) 1.10142 0.818794i 0.0404617 0.0300792i
\(742\) −3.06439 5.37196i −0.112497 0.197211i
\(743\) 20.4815 2.69644i 0.751393 0.0989227i 0.254905 0.966966i \(-0.417956\pi\)
0.496488 + 0.868044i \(0.334623\pi\)
\(744\) 3.13909 + 6.89325i 0.115084 + 0.252719i
\(745\) −1.79153 0.235859i −0.0656366 0.00864122i
\(746\) 15.2449 6.22202i 0.558155 0.227804i
\(747\) −33.1603 3.19054i −1.21327 0.116736i
\(748\) −1.57423 8.36780i −0.0575596 0.305957i
\(749\) −8.09180 16.4086i −0.295668 0.599556i
\(750\) −0.606280 + 29.6688i −0.0221382 + 1.08335i
\(751\) 6.53144 24.3757i 0.238336 0.889481i −0.738281 0.674493i \(-0.764362\pi\)
0.976617 0.214988i \(-0.0689711\pi\)
\(752\) −17.3197 31.4927i −0.631586 1.14842i
\(753\) 12.9691 + 40.2081i 0.472621 + 1.46527i
\(754\) −5.72199 + 16.5730i −0.208383 + 0.603552i
\(755\) 10.3631 15.5095i 0.377152 0.564448i
\(756\) 0.717607 12.7783i 0.0260991 0.464741i
\(757\) 5.99028 30.1152i 0.217720 1.09455i −0.705036 0.709171i \(-0.749069\pi\)
0.922757 0.385383i \(-0.125931\pi\)
\(758\) 26.4654 20.0900i 0.961268 0.729701i
\(759\) −4.42480 0.357792i −0.160610 0.0129870i
\(760\) −1.96504 + 1.66982i −0.0712793 + 0.0605708i
\(761\) 49.1741 6.47389i 1.78256 0.234678i 0.834107 0.551602i \(-0.185983\pi\)
0.948451 + 0.316924i \(0.102650\pi\)
\(762\) −6.29859 + 28.5985i −0.228174 + 1.03601i
\(763\) 0.113290 + 1.72848i 0.00410139 + 0.0625751i
\(764\) 12.3231 28.8974i 0.445834 1.04547i
\(765\) 4.02834 17.4544i 0.145645 0.631067i
\(766\) −16.9105 25.5954i −0.611003 0.924798i
\(767\) 11.4727 19.8713i 0.414254 0.717510i
\(768\) −27.1326 + 5.64116i −0.979063 + 0.203558i
\(769\) 9.08274 + 15.7318i 0.327532 + 0.567302i 0.982022 0.188769i \(-0.0604498\pi\)
−0.654490 + 0.756071i \(0.727116\pi\)
\(770\) 2.06020 4.12352i 0.0742446 0.148601i