Properties

Label 576.2.bm.a.205.76
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (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 205.76
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.76

$q$-expansion

\(f(q)\) \(=\) \(q+(1.09828 - 0.890946i) q^{2} +(0.224666 + 1.71742i) q^{3} +(0.412432 - 1.95701i) q^{4} +(2.72176 + 3.10357i) q^{5} +(1.77687 + 1.68604i) q^{6} +(2.35864 + 0.310521i) q^{7} +(-1.29063 - 2.51680i) q^{8} +(-2.89905 + 0.771692i) q^{9} +O(q^{10})\) \(q+(1.09828 - 0.890946i) q^{2} +(0.224666 + 1.71742i) q^{3} +(0.412432 - 1.95701i) q^{4} +(2.72176 + 3.10357i) q^{5} +(1.77687 + 1.68604i) q^{6} +(2.35864 + 0.310521i) q^{7} +(-1.29063 - 2.51680i) q^{8} +(-2.89905 + 0.771692i) q^{9} +(5.75437 + 0.983648i) q^{10} +(0.107104 + 0.217184i) q^{11} +(3.45367 + 0.268643i) q^{12} +(-0.686105 - 2.02120i) q^{13} +(2.86710 - 1.76038i) q^{14} +(-4.71865 + 5.37167i) q^{15} +(-3.65980 - 1.61427i) q^{16} +(-4.79616 - 4.79616i) q^{17} +(-2.49643 + 3.43043i) q^{18} +(-1.45921 + 7.33592i) q^{19} +(7.19628 - 4.04651i) q^{20} +(-0.00338686 + 4.12054i) q^{21} +(0.311129 + 0.143106i) q^{22} +(-0.332854 - 2.52827i) q^{23} +(4.03244 - 2.78199i) q^{24} +(-1.57156 + 11.9371i) q^{25} +(-2.55432 - 1.60856i) q^{26} +(-1.97664 - 4.80551i) q^{27} +(1.58047 - 4.48783i) q^{28} +(4.29270 - 0.281358i) q^{29} +(-0.396522 + 10.1036i) q^{30} +(7.75983 - 4.48014i) q^{31} +(-5.45771 + 1.48776i) q^{32} +(-0.348934 + 0.232736i) q^{33} +(-9.54064 - 0.994404i) q^{34} +(5.45594 + 8.16539i) q^{35} +(0.314551 + 5.99175i) q^{36} +(-0.502267 - 2.52507i) q^{37} +(4.93329 + 9.35696i) q^{38} +(3.31710 - 1.63243i) q^{39} +(4.29830 - 10.8557i) q^{40} +(-0.940526 - 7.14400i) q^{41} +(3.66746 + 4.52852i) q^{42} +(6.11085 - 3.01354i) q^{43} +(0.469206 - 0.120029i) q^{44} +(-10.2855 - 6.89705i) q^{45} +(-2.61812 - 2.48019i) q^{46} +(-9.30764 + 2.49397i) q^{47} +(1.95014 - 6.64808i) q^{48} +(-1.29471 - 0.346916i) q^{49} +(8.90934 + 14.5105i) q^{50} +(7.15948 - 9.31455i) q^{51} +(-4.23849 + 0.509109i) q^{52} +(1.08989 - 1.63113i) q^{53} +(-6.45234 - 3.51671i) q^{54} +(-0.382538 + 0.923528i) q^{55} +(-2.26261 - 6.33700i) q^{56} +(-12.9267 - 0.857930i) q^{57} +(4.46391 - 4.13357i) q^{58} +(1.34744 + 1.53646i) q^{59} +(8.56631 + 11.4499i) q^{60} +(-0.125998 - 1.92236i) q^{61} +(4.53089 - 11.8340i) q^{62} +(-7.07745 + 0.919930i) q^{63} +(-4.66857 + 6.49650i) q^{64} +(4.40553 - 7.63061i) q^{65} +(-0.175872 + 0.566490i) q^{66} +(5.67231 + 2.79727i) q^{67} +(-11.3642 + 7.40806i) q^{68} +(4.26732 - 1.13967i) q^{69} +(13.2671 + 4.10693i) q^{70} +(3.51594 + 8.48823i) q^{71} +(5.68379 + 6.30036i) q^{72} +(2.86551 - 6.91795i) q^{73} +(-2.80133 - 2.32573i) q^{74} +(-20.8541 - 0.0171410i) q^{75} +(13.7547 + 5.88125i) q^{76} +(0.185179 + 0.545519i) q^{77} +(2.18870 - 4.74822i) q^{78} +(3.38079 + 12.6173i) q^{79} +(-4.95109 - 15.7521i) q^{80} +(7.80898 - 4.47435i) q^{81} +(-7.39788 - 7.00815i) q^{82} +(0.404973 + 0.355152i) q^{83} +(8.06255 + 1.70607i) q^{84} +(1.83123 - 27.9392i) q^{85} +(4.02652 - 8.75413i) q^{86} +(1.44764 + 7.30915i) q^{87} +(0.408379 - 0.549862i) q^{88} +(-8.74053 + 3.62044i) q^{89} +(-17.4413 + 1.58896i) q^{90} +(-0.990652 - 4.98034i) q^{91} +(-5.08514 - 0.391343i) q^{92} +(9.43764 + 12.3203i) q^{93} +(-8.00039 + 11.0317i) q^{94} +(-26.7392 + 15.4379i) q^{95} +(-3.78127 - 9.03891i) q^{96} +(-5.66534 - 3.27088i) q^{97} +(-1.73103 + 0.772503i) q^{98} +(-0.478098 - 0.546978i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.09828 0.890946i 0.776600 0.629994i
\(3\) 0.224666 + 1.71742i 0.129711 + 0.991552i
\(4\) 0.412432 1.95701i 0.206216 0.978506i
\(5\) 2.72176 + 3.10357i 1.21721 + 1.38796i 0.897835 + 0.440331i \(0.145139\pi\)
0.319373 + 0.947629i \(0.396528\pi\)
\(6\) 1.77687 + 1.68604i 0.725405 + 0.688322i
\(7\) 2.35864 + 0.310521i 0.891483 + 0.117366i 0.562332 0.826911i \(-0.309904\pi\)
0.329151 + 0.944277i \(0.393238\pi\)
\(8\) −1.29063 2.51680i −0.456305 0.889823i
\(9\) −2.89905 + 0.771692i −0.966350 + 0.257231i
\(10\) 5.75437 + 0.983648i 1.81969 + 0.311057i
\(11\) 0.107104 + 0.217184i 0.0322929 + 0.0654836i 0.912421 0.409252i \(-0.134210\pi\)
−0.880128 + 0.474736i \(0.842544\pi\)
\(12\) 3.45367 + 0.268643i 0.996988 + 0.0775507i
\(13\) −0.686105 2.02120i −0.190291 0.560580i 0.809351 0.587325i \(-0.199819\pi\)
−0.999642 + 0.0267450i \(0.991486\pi\)
\(14\) 2.86710 1.76038i 0.766266 0.470482i
\(15\) −4.71865 + 5.37167i −1.21835 + 1.38696i
\(16\) −3.65980 1.61427i −0.914950 0.403568i
\(17\) −4.79616 4.79616i −1.16324 1.16324i −0.983762 0.179478i \(-0.942559\pi\)
−0.179478 0.983762i \(-0.557441\pi\)
\(18\) −2.49643 + 3.43043i −0.588414 + 0.808560i
\(19\) −1.45921 + 7.33592i −0.334765 + 1.68298i 0.336441 + 0.941705i \(0.390777\pi\)
−0.671206 + 0.741271i \(0.734223\pi\)
\(20\) 7.19628 4.04651i 1.60914 0.904827i
\(21\) −0.00338686 + 4.12054i −0.000739073 + 0.899176i
\(22\) 0.311129 + 0.143106i 0.0663329 + 0.0305102i
\(23\) −0.332854 2.52827i −0.0694048 0.527182i −0.990465 0.137762i \(-0.956009\pi\)
0.921061 0.389419i \(-0.127324\pi\)
\(24\) 4.03244 2.78199i 0.823118 0.567870i
\(25\) −1.57156 + 11.9371i −0.314311 + 2.38743i
\(26\) −2.55432 1.60856i −0.500942 0.315465i
\(27\) −1.97664 4.80551i −0.380404 0.924820i
\(28\) 1.58047 4.48783i 0.298682 0.848119i
\(29\) 4.29270 0.281358i 0.797134 0.0522469i 0.338608 0.940928i \(-0.390044\pi\)
0.458527 + 0.888681i \(0.348377\pi\)
\(30\) −0.396522 + 10.1036i −0.0723946 + 1.84467i
\(31\) 7.75983 4.48014i 1.39371 0.804656i 0.399983 0.916523i \(-0.369016\pi\)
0.993723 + 0.111866i \(0.0356828\pi\)
\(32\) −5.45771 + 1.48776i −0.964795 + 0.263002i
\(33\) −0.348934 + 0.232736i −0.0607416 + 0.0405141i
\(34\) −9.54064 0.994404i −1.63621 0.170539i
\(35\) 5.45594 + 8.16539i 0.922222 + 1.38020i
\(36\) 0.314551 + 5.99175i 0.0524251 + 0.998625i
\(37\) −0.502267 2.52507i −0.0825722 0.415118i −0.999857 0.0168876i \(-0.994624\pi\)
0.917285 0.398231i \(-0.130376\pi\)
\(38\) 4.93329 + 9.35696i 0.800286 + 1.51790i
\(39\) 3.31710 1.63243i 0.531162 0.261397i
\(40\) 4.29830 10.8557i 0.679621 1.71643i
\(41\) −0.940526 7.14400i −0.146885 1.11571i −0.893054 0.449949i \(-0.851442\pi\)
0.746169 0.665757i \(-0.231891\pi\)
\(42\) 3.66746 + 4.52852i 0.565901 + 0.698766i
\(43\) 6.11085 3.01354i 0.931895 0.459560i 0.0880317 0.996118i \(-0.471942\pi\)
0.843864 + 0.536558i \(0.180276\pi\)
\(44\) 0.469206 0.120029i 0.0707354 0.0180951i
\(45\) −10.2855 6.89705i −1.53328 1.02815i
\(46\) −2.61812 2.48019i −0.386021 0.365685i
\(47\) −9.30764 + 2.49397i −1.35766 + 0.363784i −0.862956 0.505279i \(-0.831390\pi\)
−0.494703 + 0.869062i \(0.664723\pi\)
\(48\) 1.95014 6.64808i 0.281479 0.959567i
\(49\) −1.29471 0.346916i −0.184958 0.0495594i
\(50\) 8.90934 + 14.5105i 1.25997 + 2.05209i
\(51\) 7.15948 9.31455i 1.00253 1.30430i
\(52\) −4.23849 + 0.509109i −0.587773 + 0.0706007i
\(53\) 1.08989 1.63113i 0.149707 0.224053i −0.749035 0.662531i \(-0.769482\pi\)
0.898742 + 0.438478i \(0.144482\pi\)
\(54\) −6.45234 3.51671i −0.878053 0.478564i
\(55\) −0.382538 + 0.923528i −0.0515814 + 0.124528i
\(56\) −2.26261 6.33700i −0.302354 0.846817i
\(57\) −12.9267 0.857930i −1.71218 0.113636i
\(58\) 4.46391 4.13357i 0.586140 0.542765i
\(59\) 1.34744 + 1.53646i 0.175422 + 0.200030i 0.832869 0.553471i \(-0.186697\pi\)
−0.657447 + 0.753501i \(0.728364\pi\)
\(60\) 8.56631 + 11.4499i 1.10591 + 1.47818i
\(61\) −0.125998 1.92236i −0.0161324 0.246133i −0.998307 0.0581628i \(-0.981476\pi\)
0.982175 0.187970i \(-0.0601909\pi\)
\(62\) 4.53089 11.8340i 0.575424 1.50292i
\(63\) −7.07745 + 0.919930i −0.891675 + 0.115900i
\(64\) −4.66857 + 6.49650i −0.583571 + 0.812062i
\(65\) 4.40553 7.63061i 0.546439 0.946460i
\(66\) −0.175872 + 0.566490i −0.0216483 + 0.0697301i
\(67\) 5.67231 + 2.79727i 0.692982 + 0.341741i 0.754440 0.656369i \(-0.227908\pi\)
−0.0614580 + 0.998110i \(0.519575\pi\)
\(68\) −11.3642 + 7.40806i −1.37812 + 0.898359i
\(69\) 4.26732 1.13967i 0.513725 0.137200i
\(70\) 13.2671 + 4.10693i 1.58572 + 0.490872i
\(71\) 3.51594 + 8.48823i 0.417265 + 1.00737i 0.983136 + 0.182874i \(0.0585399\pi\)
−0.565871 + 0.824494i \(0.691460\pi\)
\(72\) 5.68379 + 6.30036i 0.669841 + 0.742505i
\(73\) 2.86551 6.91795i 0.335382 0.809684i −0.662764 0.748828i \(-0.730617\pi\)
0.998147 0.0608563i \(-0.0193831\pi\)
\(74\) −2.80133 2.32573i −0.325648 0.270361i
\(75\) −20.8541 0.0171410i −2.40803 0.00197927i
\(76\) 13.7547 + 5.88125i 1.57777 + 0.674626i
\(77\) 0.185179 + 0.545519i 0.0211031 + 0.0621676i
\(78\) 2.18870 4.74822i 0.247822 0.537630i
\(79\) 3.38079 + 12.6173i 0.380369 + 1.41956i 0.845339 + 0.534230i \(0.179398\pi\)
−0.464971 + 0.885326i \(0.653935\pi\)
\(80\) −4.95109 15.7521i −0.553549 1.76114i
\(81\) 7.80898 4.47435i 0.867665 0.497150i
\(82\) −7.39788 7.00815i −0.816959 0.773920i
\(83\) 0.404973 + 0.355152i 0.0444515 + 0.0389829i 0.681283 0.732020i \(-0.261422\pi\)
−0.636832 + 0.771003i \(0.719755\pi\)
\(84\) 8.06255 + 1.70607i 0.879697 + 0.186148i
\(85\) 1.83123 27.9392i 0.198625 3.03044i
\(86\) 4.02652 8.75413i 0.434190 0.943982i
\(87\) 1.44764 + 7.30915i 0.155203 + 0.783623i
\(88\) 0.408379 0.549862i 0.0435334 0.0586155i
\(89\) −8.74053 + 3.62044i −0.926494 + 0.383766i −0.794347 0.607464i \(-0.792187\pi\)
−0.132147 + 0.991230i \(0.542187\pi\)
\(90\) −17.4413 + 1.58896i −1.83847 + 0.167491i
\(91\) −0.990652 4.98034i −0.103849 0.522082i
\(92\) −5.08514 0.391343i −0.530163 0.0408003i
\(93\) 9.43764 + 12.3203i 0.978638 + 1.27756i
\(94\) −8.00039 + 11.0317i −0.825177 + 1.13783i
\(95\) −26.7392 + 15.4379i −2.74338 + 1.58389i
\(96\) −3.78127 9.03891i −0.385925 0.922530i
\(97\) −5.66534 3.27088i −0.575228 0.332108i 0.184007 0.982925i \(-0.441093\pi\)
−0.759235 + 0.650817i \(0.774426\pi\)
\(98\) −1.73103 + 0.772503i −0.174861 + 0.0780346i
\(99\) −0.478098 0.546978i −0.0480507 0.0549733i
\(100\) 22.7130 + 7.99882i 2.27130 + 0.799882i
\(101\) −15.5180 5.26765i −1.54410 0.524151i −0.585932 0.810360i \(-0.699271\pi\)
−0.958167 + 0.286209i \(0.907605\pi\)
\(102\) −0.435655 16.6087i −0.0431363 1.64450i
\(103\) −7.14117 5.47961i −0.703641 0.539922i 0.193809 0.981039i \(-0.437916\pi\)
−0.897450 + 0.441117i \(0.854582\pi\)
\(104\) −4.20145 + 4.33541i −0.411986 + 0.425122i
\(105\) −12.7976 + 11.2046i −1.24892 + 1.09346i
\(106\) −0.256249 2.76246i −0.0248891 0.268314i
\(107\) −2.41585 1.61422i −0.233549 0.156053i 0.433289 0.901255i \(-0.357353\pi\)
−0.666838 + 0.745202i \(0.732353\pi\)
\(108\) −10.2197 + 1.88636i −0.983388 + 0.181515i
\(109\) −0.132884 + 0.668053i −0.0127280 + 0.0639879i −0.986627 0.162993i \(-0.947885\pi\)
0.973899 + 0.226980i \(0.0728853\pi\)
\(110\) 0.402680 + 1.35511i 0.0383940 + 0.129205i
\(111\) 4.22375 1.42990i 0.400901 0.135720i
\(112\) −8.13090 4.94393i −0.768297 0.467158i
\(113\) −2.17303 0.582262i −0.204422 0.0547746i 0.155155 0.987890i \(-0.450412\pi\)
−0.359577 + 0.933116i \(0.617079\pi\)
\(114\) −14.9615 + 10.5747i −1.40127 + 0.990413i
\(115\) 6.94074 7.91439i 0.647227 0.738021i
\(116\) 1.21983 8.51691i 0.113258 0.790775i
\(117\) 3.54880 + 5.33010i 0.328087 + 0.492768i
\(118\) 2.84877 + 0.486966i 0.262250 + 0.0448289i
\(119\) −9.82312 12.8017i −0.900484 1.17353i
\(120\) 19.6094 + 4.94307i 1.79009 + 0.451238i
\(121\) 6.66068 8.68036i 0.605516 0.789124i
\(122\) −1.85110 1.99903i −0.167591 0.180984i
\(123\) 12.0579 3.22029i 1.08723 0.290364i
\(124\) −5.56728 17.0338i −0.499957 1.52968i
\(125\) −24.1638 + 16.1457i −2.16128 + 1.44412i
\(126\) −6.95341 + 7.31596i −0.619459 + 0.651758i
\(127\) 3.86154 0.342656 0.171328 0.985214i \(-0.445194\pi\)
0.171328 + 0.985214i \(0.445194\pi\)
\(128\) 0.660638 + 11.2944i 0.0583927 + 0.998294i
\(129\) 6.54840 + 9.81784i 0.576555 + 0.864412i
\(130\) −1.95995 12.3056i −0.171899 1.07927i
\(131\) 6.40000 + 3.15613i 0.559171 + 0.275753i 0.699835 0.714305i \(-0.253257\pi\)
−0.140664 + 0.990057i \(0.544924\pi\)
\(132\) 0.311555 + 0.778856i 0.0271174 + 0.0677907i
\(133\) −5.71970 + 16.8497i −0.495961 + 1.46105i
\(134\) 8.72199 1.98153i 0.753465 0.171178i
\(135\) 9.53431 19.2141i 0.820583 1.65369i
\(136\) −5.88093 + 18.2610i −0.504285 + 1.56587i
\(137\) 1.54054 + 2.00767i 0.131617 + 0.171527i 0.854513 0.519431i \(-0.173856\pi\)
−0.722896 + 0.690957i \(0.757189\pi\)
\(138\) 3.67133 5.05362i 0.312524 0.430193i
\(139\) 5.62928 + 0.368962i 0.477469 + 0.0312950i 0.302238 0.953232i \(-0.402266\pi\)
0.175231 + 0.984527i \(0.443933\pi\)
\(140\) 18.2300 7.30967i 1.54071 0.617780i
\(141\) −6.37431 15.4248i −0.536814 1.29900i
\(142\) 11.4240 + 6.18993i 0.958683 + 0.519447i
\(143\) 0.365489 0.365489i 0.0305637 0.0305637i
\(144\) 11.8557 + 1.85561i 0.987972 + 0.154634i
\(145\) 12.5569 + 12.5569i 1.04280 + 1.04280i
\(146\) −3.01639 10.1508i −0.249638 0.840090i
\(147\) 0.304922 2.30149i 0.0251496 0.189824i
\(148\) −5.14874 0.0584758i −0.423224 0.00480668i
\(149\) 0.126634 1.93207i 0.0103743 0.158281i −0.989528 0.144338i \(-0.953895\pi\)
0.999903 0.0139435i \(-0.00443849\pi\)
\(150\) −22.9189 + 18.5611i −1.87132 + 1.51551i
\(151\) −6.56858 + 5.04025i −0.534544 + 0.410170i −0.840448 0.541893i \(-0.817708\pi\)
0.305904 + 0.952062i \(0.401041\pi\)
\(152\) 20.3463 5.79540i 1.65031 0.470069i
\(153\) 17.6055 + 10.2032i 1.42332 + 0.824876i
\(154\) 0.689405 + 0.434147i 0.0555538 + 0.0349846i
\(155\) 35.0248 + 11.8893i 2.81326 + 0.954974i
\(156\) −1.82660 7.16488i −0.146245 0.573649i
\(157\) −8.13915 + 16.5046i −0.649575 + 1.31721i 0.283999 + 0.958824i \(0.408339\pi\)
−0.933574 + 0.358383i \(0.883328\pi\)
\(158\) 14.9544 + 10.8452i 1.18971 + 0.862798i
\(159\) 3.04619 + 1.50533i 0.241579 + 0.119380i
\(160\) −19.4720 12.8891i −1.53939 1.01897i
\(161\) 6.06665i 0.478119i
\(162\) 4.59004 11.8715i 0.360627 0.932710i
\(163\) −4.09695 6.13151i −0.320898 0.480257i 0.635591 0.772026i \(-0.280756\pi\)
−0.956489 + 0.291769i \(0.905756\pi\)
\(164\) −14.3688 1.10580i −1.12202 0.0863481i
\(165\) −1.67203 0.449492i −0.130167 0.0349929i
\(166\) 0.761193 + 0.0292467i 0.0590801 + 0.00226999i
\(167\) −0.468134 0.359212i −0.0362253 0.0277966i 0.590490 0.807045i \(-0.298934\pi\)
−0.626715 + 0.779248i \(0.715601\pi\)
\(168\) 10.3749 5.30955i 0.800445 0.409641i
\(169\) 6.69908 5.14038i 0.515314 0.395414i
\(170\) −22.8811 32.3166i −1.75490 2.47857i
\(171\) −1.43077 22.3933i −0.109413 1.71246i
\(172\) −3.37722 13.2019i −0.257511 1.00663i
\(173\) −14.2139 12.4652i −1.08066 0.947713i −0.0818571 0.996644i \(-0.526085\pi\)
−0.998802 + 0.0489314i \(0.984418\pi\)
\(174\) 8.10196 + 6.73772i 0.614208 + 0.510785i
\(175\) −7.41347 + 27.6675i −0.560406 + 2.09146i
\(176\) −0.0413830 0.967746i −0.00311936 0.0729466i
\(177\) −2.33602 + 2.65931i −0.175586 + 0.199886i
\(178\) −6.37391 + 11.7636i −0.477745 + 0.881718i
\(179\) −17.8023 3.54110i −1.33061 0.264674i −0.521961 0.852969i \(-0.674799\pi\)
−0.808646 + 0.588295i \(0.799799\pi\)
\(180\) −17.7397 + 17.2843i −1.32224 + 1.28830i
\(181\) 4.32029 6.46577i 0.321125 0.480597i −0.635427 0.772161i \(-0.719176\pi\)
0.956551 + 0.291564i \(0.0941757\pi\)
\(182\) −5.52523 4.58719i −0.409557 0.340025i
\(183\) 3.27319 0.648282i 0.241961 0.0479224i
\(184\) −5.93357 + 4.10078i −0.437429 + 0.302314i
\(185\) 6.46968 8.43145i 0.475660 0.619893i
\(186\) 21.3419 + 5.12273i 1.56486 + 0.375617i
\(187\) 0.527966 1.55534i 0.0386087 0.113738i
\(188\) 1.04197 + 19.2438i 0.0759935 + 1.40350i
\(189\) −3.16997 11.9483i −0.230581 0.869108i
\(190\) −15.6128 + 40.7782i −1.13267 + 2.95836i
\(191\) −3.53644 + 6.12529i −0.255888 + 0.443211i −0.965136 0.261748i \(-0.915701\pi\)
0.709248 + 0.704959i \(0.249034\pi\)
\(192\) −12.2061 6.55834i −0.880897 0.473307i
\(193\) 12.0090 + 20.8002i 0.864428 + 1.49723i 0.867614 + 0.497239i \(0.165653\pi\)
−0.00318514 + 0.999995i \(0.501014\pi\)
\(194\) −9.13630 + 1.45516i −0.655948 + 0.104475i
\(195\) 14.0947 + 5.85180i 1.00934 + 0.419056i
\(196\) −1.21290 + 2.39068i −0.0866355 + 0.170763i
\(197\) 11.5756 2.30254i 0.824730 0.164049i 0.235356 0.971909i \(-0.424374\pi\)
0.589374 + 0.807860i \(0.299374\pi\)
\(198\) −1.01241 0.174775i −0.0719490 0.0124207i
\(199\) −4.08960 9.87317i −0.289904 0.699891i 0.710087 0.704114i \(-0.248656\pi\)
−0.999991 + 0.00422342i \(0.998656\pi\)
\(200\) 32.0717 11.4511i 2.26781 0.809715i
\(201\) −3.52971 + 10.3702i −0.248966 + 0.731456i
\(202\) −21.7363 + 8.04035i −1.52936 + 0.565717i
\(203\) 10.2123 + 0.669350i 0.716764 + 0.0469792i
\(204\) −15.2759 17.8528i −1.06953 1.24995i
\(205\) 19.6120 22.3633i 1.36976 1.56192i
\(206\) −12.7250 + 0.344252i −0.886595 + 0.0239852i
\(207\) 2.91601 + 7.07273i 0.202677 + 0.491589i
\(208\) −0.751757 + 8.50475i −0.0521250 + 0.589698i
\(209\) −1.74953 + 0.468786i −0.121018 + 0.0324266i
\(210\) −4.07265 + 23.7078i −0.281040 + 1.63599i
\(211\) −9.20735 + 3.12548i −0.633860 + 0.215167i −0.619831 0.784735i \(-0.712799\pi\)
−0.0140289 + 0.999902i \(0.504466\pi\)
\(212\) −2.74264 2.80565i −0.188365 0.192693i
\(213\) −13.7879 + 7.94536i −0.944733 + 0.544407i
\(214\) −4.09146 + 0.379528i −0.279686 + 0.0259440i
\(215\) 25.9850 + 10.7633i 1.77216 + 0.734053i
\(216\) −9.54340 + 11.1769i −0.649346 + 0.760493i
\(217\) 19.6938 8.15745i 1.33690 0.553764i
\(218\) 0.449255 + 0.852101i 0.0304274 + 0.0577115i
\(219\) 12.5248 + 3.36704i 0.846347 + 0.227524i
\(220\) 1.64959 + 1.12952i 0.111215 + 0.0761525i
\(221\) −6.40334 + 12.9847i −0.430735 + 0.873444i
\(222\) 3.36490 5.33356i 0.225837 0.357965i
\(223\) 6.44219 + 3.71940i 0.431401 + 0.249069i 0.699943 0.714199i \(-0.253209\pi\)
−0.268542 + 0.963268i \(0.586542\pi\)
\(224\) −13.3348 + 1.81437i −0.890966 + 0.121228i
\(225\) −4.65579 35.8191i −0.310386 2.38794i
\(226\) −2.90536 + 1.29657i −0.193262 + 0.0862463i
\(227\) 6.61051 0.433276i 0.438755 0.0287575i 0.155574 0.987824i \(-0.450277\pi\)
0.283180 + 0.959067i \(0.408610\pi\)
\(228\) −7.01036 + 24.9438i −0.464272 + 1.65195i
\(229\) −16.5861 + 14.5456i −1.09604 + 0.961202i −0.999418 0.0341185i \(-0.989138\pi\)
−0.0966236 + 0.995321i \(0.530804\pi\)
\(230\) 0.571570 14.8760i 0.0376882 0.980896i
\(231\) −0.895280 + 0.440589i −0.0589051 + 0.0289886i
\(232\) −6.24839 10.4407i −0.410227 0.685468i
\(233\) −8.34457 3.45644i −0.546671 0.226439i 0.0922160 0.995739i \(-0.470605\pi\)
−0.638887 + 0.769300i \(0.720605\pi\)
\(234\) 8.64640 + 2.69215i 0.565233 + 0.175991i
\(235\) −33.0734 22.0989i −2.15747 1.44158i
\(236\) 3.56260 2.00327i 0.231905 0.130402i
\(237\) −20.9096 + 8.64091i −1.35822 + 0.561288i
\(238\) −22.1942 5.30801i −1.43864 0.344067i
\(239\) −3.02573 + 11.2922i −0.195718 + 0.730431i 0.796361 + 0.604821i \(0.206755\pi\)
−0.992080 + 0.125610i \(0.959911\pi\)
\(240\) 25.9406 12.0421i 1.67446 0.777312i
\(241\) 4.17528 + 15.5824i 0.268954 + 1.00375i 0.959786 + 0.280733i \(0.0905776\pi\)
−0.690832 + 0.723015i \(0.742756\pi\)
\(242\) −0.418451 15.4678i −0.0268990 0.994305i
\(243\) 9.43875 + 12.4060i 0.605496 + 0.795848i
\(244\) −3.81405 0.546264i −0.244170 0.0349709i
\(245\) −2.44720 4.96244i −0.156346 0.317039i
\(246\) 10.3739 14.2797i 0.661414 0.910443i
\(247\) 15.8285 2.08387i 1.00715 0.132593i
\(248\) −21.2906 13.7477i −1.35196 0.872983i
\(249\) −0.518960 + 0.775298i −0.0328877 + 0.0491325i
\(250\) −12.1536 + 39.2611i −0.768662 + 2.48309i
\(251\) 5.47133 1.08832i 0.345347 0.0686938i −0.0193694 0.999812i \(-0.506166\pi\)
0.364717 + 0.931119i \(0.381166\pi\)
\(252\) −1.11865 + 14.2301i −0.0704685 + 0.896410i
\(253\) 0.513452 0.343078i 0.0322805 0.0215691i
\(254\) 4.24104 3.44042i 0.266107 0.215871i
\(255\) 48.3948 3.13202i 3.03060 0.196134i
\(256\) 10.7883 + 11.8158i 0.674266 + 0.738488i
\(257\) 2.25901 + 3.91271i 0.140913 + 0.244068i 0.927841 0.372977i \(-0.121663\pi\)
−0.786928 + 0.617045i \(0.788330\pi\)
\(258\) 15.9391 + 4.94845i 0.992327 + 0.308077i
\(259\) −0.400582 6.11170i −0.0248909 0.379762i
\(260\) −13.1162 11.7688i −0.813433 0.729869i
\(261\) −12.2276 + 4.12832i −0.756871 + 0.255536i
\(262\) 9.84093 2.23574i 0.607975 0.138125i
\(263\) 13.5864 + 1.78869i 0.837775 + 0.110295i 0.537191 0.843460i \(-0.319485\pi\)
0.300583 + 0.953756i \(0.402819\pi\)
\(264\) 1.03609 + 0.577822i 0.0637671 + 0.0355625i
\(265\) 8.02874 1.05700i 0.493201 0.0649312i
\(266\) 8.73034 + 23.6016i 0.535291 + 1.44711i
\(267\) −8.18152 14.1977i −0.500701 0.868888i
\(268\) 7.81374 9.94709i 0.477300 0.607615i
\(269\) −11.3863 2.26488i −0.694237 0.138092i −0.164655 0.986351i \(-0.552651\pi\)
−0.529582 + 0.848259i \(0.677651\pi\)
\(270\) −6.64737 29.5970i −0.404546 1.80121i
\(271\) 6.97499 6.97499i 0.423700 0.423700i −0.462775 0.886476i \(-0.653146\pi\)
0.886476 + 0.462775i \(0.153146\pi\)
\(272\) 9.81069 + 25.2953i 0.594860 + 1.53375i
\(273\) 8.33076 2.82028i 0.504201 0.170691i
\(274\) 3.48066 + 0.832444i 0.210275 + 0.0502898i
\(275\) −2.76088 + 0.937193i −0.166487 + 0.0565149i
\(276\) −0.470362 8.82124i −0.0283125 0.530976i
\(277\) 24.2193 11.9436i 1.45520 0.717624i 0.469001 0.883198i \(-0.344614\pi\)
0.986197 + 0.165573i \(0.0529475\pi\)
\(278\) 6.51124 4.61015i 0.390518 0.276499i
\(279\) −19.0388 + 18.9763i −1.13983 + 1.13608i
\(280\) 13.5091 24.2700i 0.807321 1.45041i
\(281\) −0.859236 + 6.52654i −0.0512577 + 0.389341i 0.946516 + 0.322656i \(0.104576\pi\)
−0.997774 + 0.0666851i \(0.978758\pi\)
\(282\) −20.7434 11.2616i −1.23525 0.670616i
\(283\) 10.9664 9.61728i 0.651885 0.571688i −0.268221 0.963357i \(-0.586436\pi\)
0.920106 + 0.391670i \(0.128102\pi\)
\(284\) 18.0617 3.37992i 1.07176 0.200561i
\(285\) −32.5207 42.4540i −1.92636 2.51476i
\(286\) 0.0757780 0.727040i 0.00448085 0.0429908i
\(287\) 17.1422i 1.01187i
\(288\) 14.6741 8.52477i 0.864678 0.502327i
\(289\) 29.0063i 1.70625i
\(290\) 24.9785 + 2.60347i 1.46679 + 0.152881i
\(291\) 4.34466 10.4646i 0.254689 0.613446i
\(292\) −12.3567 8.46102i −0.723120 0.495144i
\(293\) −8.38126 + 7.35017i −0.489638 + 0.429401i −0.868230 0.496163i \(-0.834742\pi\)
0.378591 + 0.925564i \(0.376409\pi\)
\(294\) −1.71562 2.79935i −0.100057 0.163261i
\(295\) −1.10111 + 8.36375i −0.0641090 + 0.486956i
\(296\) −5.70685 + 4.52302i −0.331704 + 0.262895i
\(297\) 0.831977 0.943982i 0.0482762 0.0547754i
\(298\) −1.58229 2.23477i −0.0916595 0.129457i
\(299\) −4.88178 + 2.40743i −0.282320 + 0.139225i
\(300\) −8.63447 + 40.8048i −0.498511 + 2.35586i
\(301\) 15.3491 5.21031i 0.884706 0.300317i
\(302\) −2.72355 + 11.3878i −0.156722 + 0.655297i
\(303\) 5.56039 27.8344i 0.319436 1.59904i
\(304\) 17.1826 24.4924i 0.985487 1.40474i
\(305\) 5.62325 5.62325i 0.321987 0.321987i
\(306\) 28.4262 4.47962i 1.62502 0.256083i
\(307\) −11.6556 2.31843i −0.665218 0.132320i −0.149079 0.988825i \(-0.547631\pi\)
−0.516138 + 0.856505i \(0.672631\pi\)
\(308\) 1.14396 0.137407i 0.0651832 0.00782952i
\(309\) 7.80641 13.4955i 0.444091 0.767730i
\(310\) 49.0598 18.1474i 2.78641 1.03070i
\(311\) −5.69209 + 0.749378i −0.322769 + 0.0424933i −0.290170 0.956975i \(-0.593712\pi\)
−0.0325990 + 0.999469i \(0.510378\pi\)
\(312\) −8.38963 6.24163i −0.474969 0.353363i
\(313\) 7.93480 + 1.04464i 0.448501 + 0.0590463i 0.351394 0.936228i \(-0.385708\pi\)
0.0971071 + 0.995274i \(0.469041\pi\)
\(314\) 5.76561 + 25.3782i 0.325372 + 1.43217i
\(315\) −22.1182 19.4616i −1.24622 1.09653i
\(316\) 26.0865 1.41248i 1.46748 0.0794581i
\(317\) 1.54408 + 23.5581i 0.0867241 + 1.32315i 0.790382 + 0.612615i \(0.209882\pi\)
−0.703657 + 0.710539i \(0.748451\pi\)
\(318\) 4.68673 1.06072i 0.262819 0.0594822i
\(319\) 0.520870 + 0.902173i 0.0291631 + 0.0505120i
\(320\) −32.8691 + 3.19267i −1.83744 + 0.178476i
\(321\) 2.22953 4.51169i 0.124440 0.251818i
\(322\) −5.40506 6.66288i −0.301212 0.371308i
\(323\) 42.1828 28.1857i 2.34712 1.56829i
\(324\) −5.53569 17.1276i −0.307538 0.951536i
\(325\) 25.2056 5.01371i 1.39816 0.278111i
\(326\) −9.96243 3.08395i −0.551768 0.170804i
\(327\) −1.17718 0.0781283i −0.0650982 0.00432050i
\(328\) −16.7662 + 11.5874i −0.925756 + 0.639805i
\(329\) −22.7278 + 2.99218i −1.25303 + 0.164964i
\(330\) −2.23682 + 0.996018i −0.123133 + 0.0548290i
\(331\) 13.2055 + 26.7782i 0.725842 + 1.47186i 0.875548 + 0.483131i \(0.160501\pi\)
−0.149706 + 0.988731i \(0.547833\pi\)
\(332\) 0.862060 0.646061i 0.0473117 0.0354572i
\(333\) 3.40467 + 6.93270i 0.186575 + 0.379910i
\(334\) −0.834179 + 0.0225671i −0.0456443 + 0.00123482i
\(335\) 6.75712 + 25.2179i 0.369181 + 1.37780i
\(336\) 6.66406 15.0749i 0.363554 0.822402i
\(337\) 2.66571 9.94858i 0.145211 0.541933i −0.854535 0.519393i \(-0.826158\pi\)
0.999746 0.0225402i \(-0.00717536\pi\)
\(338\) 2.77765 11.6141i 0.151084 0.631723i
\(339\) 0.511780 3.86282i 0.0277961 0.209800i
\(340\) −53.9222 15.1068i −2.92434 0.819281i
\(341\) 1.80412 + 1.20548i 0.0976986 + 0.0652801i
\(342\) −21.5226 23.3193i −1.16381 1.26096i
\(343\) −18.3314 7.59310i −0.989801 0.409989i
\(344\) −15.4713 11.4904i −0.834156 0.619522i
\(345\) 15.1517 + 10.1420i 0.815739 + 0.546029i
\(346\) −26.7166 1.02651i −1.43629 0.0551856i
\(347\) −3.50528 + 3.07405i −0.188173 + 0.165024i −0.748249 0.663418i \(-0.769105\pi\)
0.560076 + 0.828441i \(0.310772\pi\)
\(348\) 14.9011 + 0.181487i 0.798785 + 0.00972870i
\(349\) 16.1492 1.05848i 0.864449 0.0566590i 0.373275 0.927721i \(-0.378235\pi\)
0.491174 + 0.871062i \(0.336568\pi\)
\(350\) 16.5081 + 36.9916i 0.882397 + 1.97728i
\(351\) −8.35672 + 7.29227i −0.446049 + 0.389232i
\(352\) −0.907659 1.02598i −0.0483784 0.0546852i
\(353\) 30.3767 + 17.5380i 1.61679 + 0.933455i 0.987743 + 0.156088i \(0.0498883\pi\)
0.629048 + 0.777367i \(0.283445\pi\)
\(354\) −0.196303 + 5.00193i −0.0104334 + 0.265849i
\(355\) −16.7743 + 34.0149i −0.890287 + 1.80532i
\(356\) 3.48038 + 18.5985i 0.184460 + 0.985719i
\(357\) 19.7790 19.7465i 1.04682 1.04510i
\(358\) −22.7068 + 11.9718i −1.20009 + 0.632728i
\(359\) −7.36716 + 3.05158i −0.388824 + 0.161056i −0.568527 0.822665i \(-0.692486\pi\)
0.179703 + 0.983721i \(0.442486\pi\)
\(360\) −4.08373 + 34.7881i −0.215232 + 1.83350i
\(361\) −34.1327 14.1382i −1.79646 0.744118i
\(362\) −1.01577 10.9504i −0.0533875 0.575538i
\(363\) 16.4042 + 9.48898i 0.861000 + 0.498042i
\(364\) −10.1552 0.115335i −0.532276 0.00604522i
\(365\) 29.2696 9.93568i 1.53204 0.520057i
\(366\) 3.01729 3.62823i 0.157716 0.189651i
\(367\) −10.1711 + 2.72533i −0.530926 + 0.142261i −0.514316 0.857601i \(-0.671954\pi\)
−0.0166103 + 0.999862i \(0.505287\pi\)
\(368\) −2.86314 + 9.79029i −0.149251 + 0.510354i
\(369\) 8.23960 + 19.9850i 0.428937 + 1.04038i
\(370\) −0.406452 15.0242i −0.0211304 0.781072i
\(371\) 3.07715 3.50882i 0.159758 0.182169i
\(372\) 28.0034 13.3883i 1.45191 0.694150i
\(373\) 4.02534 + 0.263834i 0.208424 + 0.0136608i 0.169257 0.985572i \(-0.445863\pi\)
0.0391665 + 0.999233i \(0.487530\pi\)
\(374\) −0.805867 2.17858i −0.0416704 0.112652i
\(375\) −33.1578 37.8719i −1.71226 1.95570i
\(376\) 18.2895 + 20.2067i 0.943210 + 1.04208i
\(377\) −3.51393 8.48337i −0.180976 0.436916i
\(378\) −14.1268 10.2983i −0.726602 0.529685i
\(379\) 3.14791 0.626159i 0.161697 0.0321636i −0.113578 0.993529i \(-0.536231\pi\)
0.275275 + 0.961366i \(0.411231\pi\)
\(380\) 19.1840 + 58.6960i 0.984119 + 3.01104i
\(381\) 0.867558 + 6.63187i 0.0444463 + 0.339761i
\(382\) 1.57331 + 9.87806i 0.0804974 + 0.505405i
\(383\) −5.23985 9.07569i −0.267744 0.463746i 0.700535 0.713618i \(-0.252945\pi\)
−0.968279 + 0.249872i \(0.919611\pi\)
\(384\) −19.2488 + 3.67206i −0.982286 + 0.187389i
\(385\) −1.18905 + 2.05949i −0.0605993 + 0.104961i
\(386\) 31.7211 + 12.1451i 1.61456 + 0.618168i
\(387\) −15.3901 + 13.4521i −0.782324 + 0.683808i
\(388\) −8.73773 + 9.73812i −0.443591 + 0.494378i
\(389\) 2.72039 8.01402i 0.137929 0.406327i −0.855914 0.517118i \(-0.827005\pi\)
0.993844 + 0.110791i \(0.0353383\pi\)
\(390\) 20.6936 6.13072i 1.04786 0.310441i
\(391\) −10.5296 + 13.7224i −0.532504 + 0.693973i
\(392\) 0.797866 + 3.70626i 0.0402983 + 0.187194i
\(393\) −3.98253 + 11.7006i −0.200892 + 0.590215i
\(394\) 10.6618 12.8421i 0.537136 0.646975i
\(395\) −29.9570 + 44.8338i −1.50730 + 2.25583i
\(396\) −1.26763 + 0.710053i −0.0637006 + 0.0356815i
\(397\) 17.9019 + 3.56090i 0.898468 + 0.178716i 0.622657 0.782495i \(-0.286053\pi\)
0.275812 + 0.961212i \(0.411053\pi\)
\(398\) −13.2880 7.19988i −0.666066 0.360898i
\(399\) −30.2230 6.03756i −1.51304 0.302256i
\(400\) 25.0214 41.1506i 1.25107 2.05753i
\(401\) −4.94278 + 18.4467i −0.246831 + 0.921184i 0.725624 + 0.688091i \(0.241551\pi\)
−0.972455 + 0.233093i \(0.925115\pi\)
\(402\) 5.36266 + 14.5341i 0.267465 + 0.724896i
\(403\) −14.3793 12.6103i −0.716285 0.628165i
\(404\) −16.7090 + 28.1964i −0.831303 + 1.40282i
\(405\) 35.1407 + 12.0576i 1.74615 + 0.599149i
\(406\) 11.8123 8.36348i 0.586236 0.415073i
\(407\) 0.494611 0.379528i 0.0245169 0.0188125i
\(408\) −32.6831 5.99737i −1.61805 0.296914i
\(409\) −14.4159 11.0617i −0.712821 0.546967i 0.187462 0.982272i \(-0.439974\pi\)
−0.900283 + 0.435305i \(0.856641\pi\)
\(410\) 1.61505 42.0344i 0.0797618 2.07593i
\(411\) −3.10190 + 3.09680i −0.153005 + 0.152754i
\(412\) −13.6689 + 11.7154i −0.673420 + 0.577176i
\(413\) 2.70102 + 4.04237i 0.132909 + 0.198912i
\(414\) 9.50401 + 5.16983i 0.467097 + 0.254083i
\(415\) 2.22350i 0.109147i
\(416\) 6.75163 + 10.0104i 0.331026 + 0.490798i
\(417\) 0.631047 + 9.75071i 0.0309025 + 0.477495i
\(418\) −1.50381 + 2.07360i −0.0735539 + 0.101423i
\(419\) 11.7680 23.8631i 0.574902 1.16579i −0.394176 0.919035i \(-0.628970\pi\)
0.969079 0.246752i \(-0.0793632\pi\)
\(420\) 16.6494 + 29.6662i 0.812409 + 1.44756i
\(421\) 5.03589 + 1.70945i 0.245434 + 0.0833137i 0.441446 0.897288i \(-0.354466\pi\)
−0.196012 + 0.980602i \(0.562799\pi\)
\(422\) −7.32761 + 11.6359i −0.356703 + 0.566426i
\(423\) 25.0587 14.4128i 1.21840 0.700774i
\(424\) −5.51186 0.637846i −0.267680 0.0309765i
\(425\) 64.7899 49.7151i 3.14277 2.41153i
\(426\) −8.06410 + 21.0105i −0.390707 + 1.01796i
\(427\) 0.299749 4.57329i 0.0145059 0.221317i
\(428\) −4.15542 + 4.06209i −0.200860 + 0.196349i
\(429\) 0.709811 + 0.545585i 0.0342700 + 0.0263411i
\(430\) 38.1283 11.3301i 1.83871 0.546384i
\(431\) 20.2658 + 20.2658i 0.976172 + 0.976172i 0.999723 0.0235510i \(-0.00749721\pi\)
−0.0235510 + 0.999723i \(0.507497\pi\)
\(432\) −0.523290 + 20.7780i −0.0251768 + 0.999683i
\(433\) −21.2660 + 21.2660i −1.02198 + 1.02198i −0.0222243 + 0.999753i \(0.507075\pi\)
−0.999753 + 0.0222243i \(0.992925\pi\)
\(434\) 14.3615 26.5053i 0.689373 1.27229i
\(435\) −18.7444 + 24.3866i −0.898723 + 1.16925i
\(436\) 1.25258 + 0.535582i 0.0599878 + 0.0256497i
\(437\) 19.0329 + 1.24748i 0.910468 + 0.0596752i
\(438\) 16.7556 7.46095i 0.800612 0.356498i
\(439\) 1.50985 + 1.96768i 0.0720612 + 0.0939120i 0.827993 0.560738i \(-0.189483\pi\)
−0.755932 + 0.654650i \(0.772816\pi\)
\(440\) 2.81805 0.229158i 0.134345 0.0109247i
\(441\) 4.02113 + 0.00661031i 0.191483 + 0.000314777i
\(442\) 4.53600 + 19.9658i 0.215755 + 0.949677i
\(443\) −2.83401 + 8.34873i −0.134648 + 0.396660i −0.993252 0.115980i \(-0.962999\pi\)
0.858604 + 0.512640i \(0.171332\pi\)
\(444\) −1.05632 8.85568i −0.0501308 0.420272i
\(445\) −35.0259 17.2729i −1.66039 0.818813i
\(446\) 10.3891 1.65470i 0.491938 0.0783524i
\(447\) 3.34662 0.216587i 0.158290 0.0102442i
\(448\) −13.0288 + 13.8732i −0.615552 + 0.655448i
\(449\) −22.6788 −1.07028 −0.535140 0.844763i \(-0.679741\pi\)
−0.535140 + 0.844763i \(0.679741\pi\)
\(450\) −37.0263 35.1913i −1.74543 1.65894i
\(451\) 1.45083 0.969415i 0.0683170 0.0456480i
\(452\) −2.03572 + 4.01251i −0.0957523 + 0.188732i
\(453\) −10.1320 10.1486i −0.476041 0.476824i
\(454\) 6.87416 6.36546i 0.322620 0.298746i
\(455\) 12.7605 16.6299i 0.598223 0.779620i
\(456\) 14.5243 + 33.6411i 0.680161 + 1.57539i
\(457\) 22.0101 + 28.6842i 1.02959 + 1.34179i 0.938246 + 0.345969i \(0.112450\pi\)
0.0913446 + 0.995819i \(0.470884\pi\)
\(458\) −5.25681 + 30.7525i −0.245635 + 1.43697i
\(459\) −13.5677 + 32.5283i −0.633287 + 1.51829i
\(460\) −12.6260 16.8473i −0.588690 0.785508i
\(461\) −11.6442 + 13.2776i −0.542323 + 0.618401i −0.956478 0.291806i \(-0.905744\pi\)
0.414155 + 0.910206i \(0.364077\pi\)
\(462\) −0.590726 + 1.28154i −0.0274831 + 0.0596224i
\(463\) −15.2778 4.09368i −0.710020 0.190249i −0.114306 0.993446i \(-0.536464\pi\)
−0.595714 + 0.803196i \(0.703131\pi\)
\(464\) −16.1646 5.89986i −0.750423 0.273894i
\(465\) −12.5500 + 62.8234i −0.581994 + 2.91337i
\(466\) −12.2442 + 3.63843i −0.567200 + 0.168547i
\(467\) −0.0287041 + 0.144305i −0.00132827 + 0.00667765i −0.981444 0.191750i \(-0.938584\pi\)
0.980115 + 0.198428i \(0.0635836\pi\)
\(468\) 11.8947 4.74674i 0.549833 0.219418i
\(469\) 12.5103 + 8.35914i 0.577673 + 0.385989i
\(470\) −56.0128 + 5.19580i −2.58368 + 0.239665i
\(471\) −30.1738 10.2703i −1.39034 0.473231i
\(472\) 2.12792 5.37423i 0.0979455 0.247369i
\(473\) 1.30899 + 1.00442i 0.0601873 + 0.0461833i
\(474\) −15.2660 + 28.1195i −0.701190 + 1.29157i
\(475\) −85.2767 28.9476i −3.91276 1.32820i
\(476\) −29.1046 + 13.9441i −1.33400 + 0.639128i
\(477\) −1.90090 + 5.56978i −0.0870364 + 0.255023i
\(478\) 6.73763 + 15.0977i 0.308172 + 0.690554i
\(479\) −24.8359 14.3390i −1.13478 0.655166i −0.189648 0.981852i \(-0.560735\pi\)
−0.945133 + 0.326686i \(0.894068\pi\)
\(480\) 17.7612 36.3372i 0.810684 1.65856i
\(481\) −4.75906 + 2.74765i −0.216995 + 0.125282i
\(482\) 18.4687 + 13.3938i 0.841224 + 0.610072i
\(483\) 10.4190 1.36297i 0.474080 0.0620174i
\(484\) −14.2405 16.6151i −0.647296 0.755232i
\(485\) −5.26826 26.4854i −0.239220 1.20264i
\(486\) 21.4195 + 5.21589i 0.971608 + 0.236598i
\(487\) −26.9675 + 11.1703i −1.22201 + 0.506174i −0.898049 0.439895i \(-0.855016\pi\)
−0.323964 + 0.946069i \(0.605016\pi\)
\(488\) −4.67558 + 2.79816i −0.211654 + 0.126667i
\(489\) 9.60992 8.41371i 0.434576 0.380481i
\(490\) −7.10898 3.26982i −0.321151 0.147715i
\(491\) −0.749404 + 11.4337i −0.0338201 + 0.515995i 0.947019 + 0.321177i \(0.104078\pi\)
−0.980839 + 0.194818i \(0.937588\pi\)
\(492\) −1.32908 24.9257i −0.0599194 1.12374i
\(493\) −21.9379 19.2390i −0.988034 0.866483i
\(494\) 15.5275 16.3910i 0.698617 0.737468i
\(495\) 0.396317 2.97255i 0.0178131 0.133606i
\(496\) −35.6316 + 3.86995i −1.59990 + 0.173766i
\(497\) 5.65707 + 21.1125i 0.253754 + 0.947024i
\(498\) 0.120786 + 1.31386i 0.00541254 + 0.0588754i
\(499\) 10.7804 + 31.7580i 0.482597 + 1.42168i 0.866902 + 0.498478i \(0.166108\pi\)
−0.384305 + 0.923206i \(0.625559\pi\)
\(500\) 21.6315 + 53.9479i 0.967389 + 2.41262i
\(501\) 0.511743 0.884684i 0.0228630 0.0395248i
\(502\) 5.03942 6.06993i 0.224920 0.270914i
\(503\) 9.35943 22.5957i 0.417316 1.00749i −0.565805 0.824539i \(-0.691435\pi\)
0.983122 0.182952i \(-0.0585653\pi\)
\(504\) 11.4496 + 16.6252i 0.510007 + 0.740547i
\(505\) −25.8878 62.4986i −1.15199 2.78115i
\(506\) 0.258250 0.834253i 0.0114806 0.0370871i
\(507\) 10.3332 + 10.3502i 0.458916 + 0.459671i
\(508\) 1.59262 7.55708i 0.0706612 0.335291i
\(509\) −7.66887 3.78187i −0.339917 0.167628i 0.264316 0.964436i \(-0.414854\pi\)
−0.604233 + 0.796808i \(0.706520\pi\)
\(510\) 50.3605 46.5569i 2.23000 2.06158i
\(511\) 8.90688 15.4272i 0.394017 0.682458i
\(512\) 22.3758 + 3.36530i 0.988878 + 0.148727i
\(513\) 38.1371 7.48824i 1.68380 0.330614i
\(514\) 5.96703 + 2.28460i 0.263194 + 0.100769i
\(515\) −2.43018 37.0774i −0.107086 1.63382i
\(516\) 21.9144 8.76612i 0.964728 0.385907i
\(517\) −1.53853 1.75436i −0.0676646 0.0771567i
\(518\) −5.88514 6.35545i −0.258578 0.279242i
\(519\) 18.2146 27.2116i 0.799533 1.19446i
\(520\) −24.8906 1.23958i −1.09153 0.0543593i
\(521\) 12.6047 30.4304i 0.552221 1.33318i −0.363587 0.931560i \(-0.618448\pi\)
0.915807 0.401618i \(-0.131552\pi\)
\(522\) −9.75124 + 15.4282i −0.426800 + 0.675274i
\(523\) 2.51679 3.76664i 0.110052 0.164704i −0.772356 0.635190i \(-0.780922\pi\)
0.882407 + 0.470487i \(0.155922\pi\)
\(524\) 8.81616 11.2232i 0.385136 0.490288i
\(525\) −49.1822 6.51609i −2.14649 0.284385i
\(526\) 16.5153 10.1403i 0.720101 0.442138i
\(527\) −58.7048 15.7299i −2.55722 0.685206i
\(528\) 1.65273 0.288492i 0.0719257 0.0125550i
\(529\) 15.9349 4.26975i 0.692822 0.185641i
\(530\) 7.87606 8.31405i 0.342114 0.361139i
\(531\) −5.09197 3.41446i −0.220973 0.148175i
\(532\) 30.6161 + 18.1429i 1.32738 + 0.786594i
\(533\) −13.7942 + 6.80253i −0.597492 + 0.294650i
\(534\) −21.6350 8.30379i −0.936238 0.359340i
\(535\) −1.56552 11.8913i −0.0676833 0.514105i
\(536\) −0.280653 17.8863i −0.0121224 0.772570i
\(537\) 2.08197 31.3696i 0.0898435 1.35370i
\(538\) −14.5233 + 7.65713i −0.626142 + 0.330122i
\(539\) −0.0633230 0.318346i −0.00272751 0.0137121i
\(540\) −33.6700 26.5833i −1.44892 1.14396i
\(541\) 25.0812 + 37.5367i 1.07833 + 1.61383i 0.739738 + 0.672895i \(0.234949\pi\)
0.338588 + 0.940935i \(0.390051\pi\)
\(542\) 1.44615 13.8748i 0.0621173 0.595974i
\(543\) 12.0751 + 5.96710i 0.518190 + 0.256073i
\(544\) 33.3116 + 19.0405i 1.42822 + 0.816354i
\(545\) −2.43503 + 1.40586i −0.104305 + 0.0602206i
\(546\) 6.63679 10.5197i 0.284028 0.450202i
\(547\) 13.9425 0.913841i 0.596139 0.0390730i 0.235653 0.971837i \(-0.424277\pi\)
0.360487 + 0.932764i \(0.382611\pi\)
\(548\) 4.56440 2.18683i 0.194981 0.0934166i
\(549\) 1.84875 + 5.47579i 0.0789026 + 0.233701i
\(550\) −2.19723 + 3.48909i −0.0936902 + 0.148775i
\(551\) −4.19991 + 31.9015i −0.178922 + 1.35905i
\(552\) −8.37583 9.26911i −0.356499 0.394520i
\(553\) 4.05615 + 30.8095i 0.172485 + 1.31015i
\(554\) 15.9584 34.6956i 0.678009 1.47407i
\(555\) 15.9338 + 9.21688i 0.676354 + 0.391235i
\(556\) 3.04376 10.8644i 0.129084 0.460753i
\(557\) 0.0143665 0.0722251i 0.000608727 0.00306028i −0.980480 0.196620i \(-0.937003\pi\)
0.981088 + 0.193560i \(0.0620034\pi\)
\(558\) −4.00306 + 37.8039i −0.169463 + 1.60037i
\(559\) −10.2836 10.2836i −0.434952 0.434952i
\(560\) −6.78649 38.6910i −0.286782 1.63499i
\(561\) 2.78978 + 0.557306i 0.117785 + 0.0235295i
\(562\) 4.87111 + 7.93350i 0.205476 + 0.334654i
\(563\) 9.57911 + 28.2191i 0.403711 + 1.18929i 0.938789 + 0.344492i \(0.111949\pi\)
−0.535078 + 0.844803i \(0.679718\pi\)
\(564\) −32.8155 + 6.11293i −1.38178 + 0.257401i
\(565\) −4.10738 8.32894i −0.172799 0.350401i
\(566\) 3.47570 20.3329i 0.146094 0.854656i
\(567\) 19.8080 8.12854i 0.831857 0.341367i
\(568\) 16.8254 19.8040i 0.705979 0.830959i
\(569\) 0.907968 + 0.119536i 0.0380640 + 0.00501122i 0.149534 0.988757i \(-0.452223\pi\)
−0.111470 + 0.993768i \(0.535556\pi\)
\(570\) −73.5409 17.6521i −3.08029 0.739367i
\(571\) −30.7148 35.0235i −1.28537 1.46569i −0.810627 0.585563i \(-0.800873\pi\)
−0.474745 0.880123i \(-0.657460\pi\)
\(572\) −0.564528 0.866007i −0.0236041 0.0362096i
\(573\) −11.3142 4.69740i −0.472658 0.196237i
\(574\) −15.2728 18.8269i −0.637473 0.785820i
\(575\) 30.7035 1.28042
\(576\) 8.52111 22.4364i 0.355046 0.934849i
\(577\) −22.4060 −0.932772 −0.466386 0.884581i \(-0.654444\pi\)
−0.466386 + 0.884581i \(0.654444\pi\)
\(578\) 25.8431 + 31.8570i 1.07493 + 1.32508i
\(579\) −33.0247 + 25.2976i −1.37246 + 1.05133i
\(580\) 29.7529 19.3952i 1.23542 0.805341i
\(581\) 0.844904 + 0.963428i 0.0350525 + 0.0399697i
\(582\) −4.55175 15.3639i −0.188676 0.636855i
\(583\) 0.470986 + 0.0620065i 0.0195063 + 0.00256805i
\(584\) −21.1094 + 1.71657i −0.873513 + 0.0710324i
\(585\) −6.88338 + 25.5212i −0.284593 + 1.05517i
\(586\) −2.65636 + 15.5398i −0.109733 + 0.641942i
\(587\) −12.6161 25.5830i −0.520724 1.05592i −0.985370 0.170428i \(-0.945485\pi\)
0.464646 0.885496i \(-0.346182\pi\)
\(588\) −4.37829 1.54595i −0.180558 0.0637538i
\(589\) 21.5428 + 63.4629i 0.887654 + 2.61494i
\(590\) 6.24232 + 10.1668i 0.256992 + 0.418559i
\(591\) 6.55507 + 19.3629i 0.269640 + 0.796483i
\(592\) −2.23794 + 10.0520i −0.0919789 + 0.413136i
\(593\) −3.71798 3.71798i −0.152679 0.152679i 0.626634 0.779313i \(-0.284432\pi\)
−0.779313 + 0.626634i \(0.784432\pi\)
\(594\) 0.0727059 1.77800i 0.00298316 0.0729523i
\(595\) 12.9950 65.3301i 0.532741 2.67827i
\(596\) −3.72885 1.04467i −0.152740 0.0427914i
\(597\) 16.0376 9.24173i 0.656374 0.378239i
\(598\) −3.21667 + 6.99342i −0.131539 + 0.285982i
\(599\) 3.10196 + 23.5617i 0.126743 + 0.962705i 0.930125 + 0.367242i \(0.119698\pi\)
−0.803383 + 0.595463i \(0.796969\pi\)
\(600\) 26.8718 + 52.5078i 1.09704 + 2.14362i
\(601\) 3.89000 29.5475i 0.158677 1.20527i −0.707932 0.706280i \(-0.750372\pi\)
0.866609 0.498988i \(-0.166295\pi\)
\(602\) 12.2155 19.3976i 0.497865 0.790585i
\(603\) −18.6029 3.73215i −0.757570 0.151985i
\(604\) 7.15474 + 14.9336i 0.291122 + 0.607638i
\(605\) 45.0689 2.95397i 1.83231 0.120096i
\(606\) −18.6921 35.5239i −0.759313 1.44306i
\(607\) −17.7930 + 10.2728i −0.722196 + 0.416960i −0.815560 0.578672i \(-0.803571\pi\)
0.0933643 + 0.995632i \(0.470238\pi\)
\(608\) −2.95020 42.2083i −0.119646 1.71177i
\(609\) 1.14481 + 17.6892i 0.0463900 + 0.716802i
\(610\) 1.16589 11.1859i 0.0472054 0.452904i
\(611\) 11.4268 + 17.1015i 0.462281 + 0.691852i
\(612\) 27.2288 30.2460i 1.10066 1.22262i
\(613\) 0.482430 + 2.42534i 0.0194852 + 0.0979586i 0.989304 0.145868i \(-0.0465974\pi\)
−0.969819 + 0.243826i \(0.921597\pi\)
\(614\) −14.8666 + 7.83818i −0.599969 + 0.316323i
\(615\) 42.8132 + 28.6578i 1.72640 + 1.15559i
\(616\) 1.13396 1.17012i 0.0456887 0.0471454i
\(617\) 0.765873 + 5.81738i 0.0308329 + 0.234199i 0.999922 0.0125131i \(-0.00398316\pi\)
−0.969089 + 0.246712i \(0.920650\pi\)
\(618\) −3.45011 21.7769i −0.138784 0.875994i
\(619\) 22.5158 11.1036i 0.904986 0.446290i 0.0706219 0.997503i \(-0.477502\pi\)
0.834364 + 0.551213i \(0.185835\pi\)
\(620\) 37.7129 63.6405i 1.51459 2.55586i
\(621\) −11.4917 + 6.59701i −0.461146 + 0.264729i
\(622\) −5.58384 + 5.89437i −0.223892 + 0.236343i
\(623\) −21.7400 + 5.82522i −0.870995 + 0.233382i
\(624\) −14.7751 + 0.619651i −0.591478 + 0.0248059i
\(625\) −57.7281 15.4682i −2.30912 0.618727i
\(626\) 9.64533 5.92217i 0.385505 0.236698i
\(627\) −1.19816 2.89936i −0.0478500 0.115789i
\(628\) 28.9428 + 22.7354i 1.15494 + 0.907243i
\(629\) −9.70168 + 14.5196i −0.386831 + 0.578934i
\(630\) −41.6311 1.66810i −1.65862 0.0664588i
\(631\) −2.39106 + 5.77252i −0.0951864 + 0.229800i −0.964300 0.264812i \(-0.914690\pi\)
0.869114 + 0.494613i \(0.164690\pi\)
\(632\) 27.3919 24.7930i 1.08959 0.986212i
\(633\) −7.43633 15.1107i −0.295568 0.600596i
\(634\) 22.6848 + 24.4977i 0.900929 + 0.972926i
\(635\) 10.5102 + 11.9846i 0.417084 + 0.475593i
\(636\) 4.20230 5.34059i 0.166632 0.211768i
\(637\) 0.187119 + 2.85488i 0.00741393 + 0.113115i
\(638\) 1.37585 + 0.526771i 0.0544703 + 0.0208551i
\(639\) −16.7432 21.8946i −0.662350 0.866136i
\(640\) −33.2549 + 32.7910i −1.31452 + 1.29618i
\(641\) 9.90081 17.1487i 0.391058 0.677333i −0.601531 0.798849i \(-0.705442\pi\)
0.992589 + 0.121516i \(0.0387757\pi\)
\(642\) −1.57102 6.94148i −0.0620033 0.273958i
\(643\) 18.0462 + 8.89939i 0.711671 + 0.350958i 0.761824 0.647784i \(-0.224304\pi\)
−0.0501525 + 0.998742i \(0.515971\pi\)
\(644\) −11.8725 2.50208i −0.467843 0.0985959i
\(645\) −12.6472 + 47.0453i −0.497983 + 1.85241i
\(646\) 21.2166 68.5383i 0.834757 2.69661i
\(647\) −14.5938 35.2326i −0.573743 1.38514i −0.898346 0.439288i \(-0.855231\pi\)
0.324604 0.945850i \(-0.394769\pi\)
\(648\) −21.3395 13.8789i −0.838296 0.545216i
\(649\) −0.189380 + 0.457203i −0.00743380 + 0.0179468i
\(650\) 23.2159 27.9633i 0.910601 1.09681i
\(651\) 18.4343 + 31.9898i 0.722497 + 1.25378i
\(652\) −13.6892 + 5.48894i −0.536109 + 0.214964i
\(653\) −8.59586 25.3226i −0.336382 0.990950i −0.975149 0.221549i \(-0.928889\pi\)
0.638767 0.769400i \(-0.279445\pi\)
\(654\) −1.36248 + 0.962997i −0.0532772 + 0.0376562i
\(655\) 7.62399 + 28.4531i 0.297894 + 1.11176i
\(656\) −8.09022 + 27.6639i −0.315870 + 1.08009i
\(657\) −2.96872 + 22.2668i −0.115821 + 0.868709i
\(658\) −22.2956 + 23.5355i −0.869174 + 0.917509i
\(659\) 29.1593 + 25.5720i 1.13589 + 0.996145i 0.999985 + 0.00542260i \(0.00172608\pi\)
0.135900 + 0.990722i \(0.456607\pi\)
\(660\) −1.56926 + 3.08679i −0.0610833 + 0.120153i
\(661\) 2.04170 31.1504i 0.0794131 1.21161i −0.753214 0.657775i \(-0.771498\pi\)
0.832627 0.553834i \(-0.186836\pi\)
\(662\) 38.3613 + 17.6445i 1.49095 + 0.685773i
\(663\) −23.7387 8.07998i −0.921936 0.313801i
\(664\) 0.371177 1.47760i 0.0144045 0.0573421i
\(665\) −67.8620 + 28.1093i −2.63157 + 1.09003i
\(666\) 9.91594 + 4.58066i 0.384235 + 0.177497i
\(667\) −2.14019 10.7595i −0.0828685 0.416608i
\(668\) −0.896055 + 0.767993i −0.0346694 + 0.0297146i
\(669\) −4.94042 + 11.8996i −0.191008 + 0.460063i
\(670\) 29.8890 + 21.6761i 1.15471 + 0.837420i
\(671\) 0.404012 0.233257i 0.0155967 0.00900477i
\(672\) −6.11190 22.4937i −0.235772 0.867715i
\(673\) −39.8804 23.0250i −1.53728 0.887547i −0.998997 0.0447815i \(-0.985741\pi\)
−0.538280 0.842766i \(-0.680926\pi\)
\(674\) −5.93594 13.3013i −0.228644 0.512347i
\(675\) 60.4704 16.0433i 2.32751 0.617507i
\(676\) −7.29688 15.2302i −0.280649 0.585779i
\(677\) 29.3222 + 9.95355i 1.12694 + 0.382546i 0.821809 0.569763i \(-0.192965\pi\)
0.305135 + 0.952309i \(0.401298\pi\)
\(678\) −2.87948 4.69842i −0.110586 0.180442i
\(679\) −12.3468 9.47405i −0.473828 0.363581i
\(680\) −72.6809 + 31.4503i −2.78719 + 1.20606i
\(681\) 2.22927 + 11.2557i 0.0854260 + 0.431318i
\(682\) 3.05544 0.283426i 0.116999 0.0108529i
\(683\) −31.7115 21.1889i −1.21341 0.810772i −0.226808 0.973939i \(-0.572829\pi\)
−0.986598 + 0.163167i \(0.947829\pi\)
\(684\) −44.4140 6.43567i −1.69821 0.246074i
\(685\) −2.03797 + 10.2456i −0.0778668 + 0.391463i
\(686\) −26.8980 + 7.99291i −1.02697 + 0.305171i
\(687\) −28.7073 25.2174i −1.09525 0.962103i
\(688\) −27.2291 + 1.16438i −1.03810 + 0.0443915i
\(689\) −4.04462 1.08375i −0.154088 0.0412877i
\(690\) 25.6768 2.36052i 0.977498 0.0898634i
\(691\) 12.7239 14.5089i 0.484042 0.551944i −0.457338 0.889293i \(-0.651197\pi\)
0.941380 + 0.337349i \(0.109530\pi\)
\(692\) −30.2568 + 22.6756i −1.15019 + 0.861998i
\(693\) −0.957815 1.43858i −0.0363844 0.0546473i
\(694\) −1.11096 + 6.49917i −0.0421717 + 0.246705i
\(695\) 14.1764 + 18.4751i 0.537743 + 0.700800i
\(696\) 16.5273 13.0768i 0.626466 0.495674i
\(697\) −29.7529 + 38.7747i −1.12697 + 1.46870i
\(698\) 16.7933 15.5506i 0.635636 0.588599i
\(699\) 4.06140 15.1077i 0.153616 0.571424i
\(700\) 51.0880 + 25.9192i 1.93095 + 0.979654i
\(701\) −12.6713 + 8.46671i −0.478590 + 0.319783i −0.771360 0.636400i \(-0.780423\pi\)
0.292770 + 0.956183i \(0.405423\pi\)
\(702\) −2.68099 + 15.4543i −0.101187 + 0.583286i
\(703\) 19.2566 0.726277
\(704\) −1.91096 0.318142i −0.0720220 0.0119904i
\(705\) 30.5226 61.7657i 1.14955 2.32623i
\(706\) 48.9875 7.80239i 1.84367 0.293647i
\(707\) −34.9657 17.2432i −1.31502 0.648497i
\(708\) 4.24085 + 5.66840i 0.159381 + 0.213032i
\(709\) 2.03447 5.99336i 0.0764061 0.225085i −0.902015 0.431704i \(-0.857913\pi\)
0.978422 + 0.206619i \(0.0662459\pi\)
\(710\) 11.8826 + 52.3028i 0.445945 + 1.96289i
\(711\) −19.5378 33.9692i −0.732723 1.27395i
\(712\) 20.3927 + 17.3255i 0.764248 + 0.649301i
\(713\) −13.9099 18.1277i −0.520930 0.678889i
\(714\) 4.12979 39.3092i 0.154554 1.47111i
\(715\) 2.12910 + 0.139548i 0.0796237 + 0.00521881i
\(716\) −14.2722 + 33.3789i −0.533378 + 1.24743i
\(717\) −20.0732 2.65947i −0.749647 0.0993198i
\(718\) −5.37240 + 9.91522i −0.200496 + 0.370033i
\(719\) −6.95749 + 6.95749i −0.259471 + 0.259471i −0.824839 0.565368i \(-0.808734\pi\)
0.565368 + 0.824839i \(0.308734\pi\)
\(720\) 26.5093 + 41.8454i 0.987941 + 1.55949i
\(721\) −15.1419 15.1419i −0.563915 0.563915i
\(722\) −50.0837 + 14.8827i −1.86392 + 0.553876i
\(723\) −25.8234 + 10.6715i −0.960382 + 0.396879i
\(724\) −10.8718 11.1216i −0.404046 0.413329i
\(725\) −3.38760 + 51.6848i −0.125812 + 1.91952i
\(726\) 26.4706 4.19374i 0.982416 0.155644i
\(727\) −10.5635 + 8.10564i −0.391778 + 0.300622i −0.785802 0.618479i \(-0.787749\pi\)
0.394024 + 0.919100i \(0.371083\pi\)
\(728\) −11.2560 + 8.92103i −0.417174 + 0.330636i
\(729\) −19.1858 + 18.9975i −0.710585 + 0.703611i
\(730\) 23.2940 36.9897i 0.862150 1.36905i
\(731\) −43.7620 14.8552i −1.61860 0.549439i
\(732\) 0.0812735 6.67305i 0.00300396 0.246643i
\(733\) −6.78389 + 13.7564i −0.250569 + 0.508103i −0.985423 0.170122i \(-0.945584\pi\)
0.734854 + 0.678225i \(0.237251\pi\)
\(734\) −8.74256 + 12.0551i −0.322694 + 0.444960i
\(735\) 7.97278 5.31777i 0.294080 0.196149i
\(736\) 5.57809 + 13.3034i 0.205611 + 0.490369i
\(737\) 1.53153i 0.0564148i
\(738\) 26.8549 + 14.6081i 0.988544 + 0.537731i
\(739\) 19.6746 + 29.4451i 0.723740 + 1.08315i 0.992771 + 0.120022i \(0.0382966\pi\)
−0.269031 + 0.963132i \(0.586703\pi\)
\(740\) −13.8322 16.1387i −0.508480 0.593269i
\(741\) 7.13501 + 26.7160i 0.262111 + 0.981439i
\(742\) 0.253404 6.59524i 0.00930274 0.242119i
\(743\) 0.375308 + 0.287984i 0.0137687 + 0.0105651i 0.615623 0.788041i \(-0.288904\pi\)
−0.601854 + 0.798606i \(0.705571\pi\)
\(744\) 18.8273 39.6536i 0.690244 1.45377i
\(745\) 6.34098 4.86561i 0.232316 0.178262i
\(746\) 4.65600 3.29659i 0.170468 0.120697i
\(747\) −1.44810 0.717088i −0.0529833 0.0262369i
\(748\) −2.82607 1.67471i −0.103331 0.0612334i
\(749\) −5.19688 4.55754i −0.189890 0.166529i
\(750\) −70.1583 12.0522i −2.56182 0.440083i
\(751\) 1.24519 4.64710i 0.0454375 0.169575i −0.939479 0.342608i \(-0.888690\pi\)
0.984916 + 0.173033i \(0.0553566\pi\)
\(752\) 38.0900 + 5.89760i 1.38900 + 0.215063i
\(753\) 3.09832 + 9.15205i 0.112909 + 0.333519i
\(754\) −11.4175 6.18639i −0.415800 0.225295i
\(755\) −33.5209 6.66772i −1.21995 0.242663i
\(756\) −24.6903 + 1.27582i −0.897978 + 0.0464013i
\(757\) 11.7932 17.6498i 0.428631 0.641492i −0.552798 0.833315i \(-0.686440\pi\)
0.981430 + 0.191823i \(0.0614399\pi\)
\(758\) 2.89941 3.49231i 0.105311 0.126847i
\(759\) 0.704563 + 0.804734i 0.0255740 + 0.0292100i
\(760\) 73.3643 + 47.3726i 2.66120 + 1.71839i
\(761\) −4.65058 + 6.06075i −0.168583 + 0.219702i −0.870003 0.493046i \(-0.835883\pi\)
0.701420 + 0.712749i \(0.252550\pi\)
\(762\) 6.86146 + 6.51070i 0.248564 + 0.235858i
\(763\) −0.520870 + 1.53443i −0.0188568 + 0.0555503i
\(764\) 10.5287 + 9.44713i 0.380916 + 0.341785i
\(765\) 16.2517 + 82.4104i 0.587580 + 2.97956i
\(766\) −13.8408 5.29921i −0.500087 0.191468i
\(767\) 2.18101 3.77762i 0.0787517 0.136402i
\(768\) −17.8689 + 21.1826i −0.644789 + 0.764360i
\(769\) 2.88096 + 4.98997i 0.103890 + 0.179943i 0.913284 0.407323i \(-0.133538\pi\)
−0.809394 + 0.587266i \(0.800204\pi\)
\(770\) 0.528987 + 3.32126i 0.0190634 + 0.119690i
\(771\) −6.21224 + 4.75871i −0.223728 + 0.171381i
\(772\) 45.6592 14.9231i 1.64331 0.537095i