Properties

Label 576.2.bm.a.517.76
Level $576$
Weight $2$
Character 576.517
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.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 517.76
Character \(\chi\) \(=\) 576.517
Dual form 576.2.bm.a.205.76

$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

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

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 0.319373 0.947629i \(-0.396528\pi\)
0.897835 0.440331i \(-0.145139\pi\)
\(6\) 1.77687 1.68604i 0.725405 0.688322i
\(7\) 2.35864 0.310521i 0.891483 0.117366i 0.329151 0.944277i \(-0.393238\pi\)
0.562332 + 0.826911i \(0.309904\pi\)
\(8\) −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 −0.880128 0.474736i \(-0.842544\pi\)
0.912421 + 0.409252i \(0.134210\pi\)
\(12\) 3.45367 0.268643i 0.996988 0.0775507i
\(13\) −0.686105 + 2.02120i −0.190291 + 0.560580i −0.999642 0.0267450i \(-0.991486\pi\)
0.809351 + 0.587325i \(0.199819\pi\)
\(14\) 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 −0.179478 + 0.983762i \(0.557441\pi\)
−0.983762 + 0.179478i \(0.942559\pi\)
\(18\) −2.49643 3.43043i −0.588414 0.808560i
\(19\) −1.45921 7.33592i −0.334765 1.68298i −0.671206 0.741271i \(-0.734223\pi\)
0.336441 0.941705i \(-0.390777\pi\)
\(20\) 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 0.921061 + 0.389419i \(0.127324\pi\)
−0.990465 + 0.137762i \(0.956009\pi\)
\(24\) 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 0.458527 0.888681i \(-0.348377\pi\)
0.338608 + 0.940928i \(0.390044\pi\)
\(30\) −0.396522 10.1036i −0.0723946 1.84467i
\(31\) 7.75983 + 4.48014i 1.39371 + 0.804656i 0.993723 0.111866i \(-0.0356828\pi\)
0.399983 + 0.916523i \(0.369016\pi\)
\(32\) −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 0.917285 + 0.398231i \(0.130376\pi\)
−0.999857 + 0.0168876i \(0.994624\pi\)
\(38\) 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 0.746169 + 0.665757i \(0.231891\pi\)
−0.893054 + 0.449949i \(0.851442\pi\)
\(42\) 3.66746 4.52852i 0.565901 0.698766i
\(43\) 6.11085 + 3.01354i 0.931895 + 0.459560i 0.843864 0.536558i \(-0.180276\pi\)
0.0880317 + 0.996118i \(0.471942\pi\)
\(44\) 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 −0.494703 0.869062i \(-0.664723\pi\)
−0.862956 + 0.505279i \(0.831390\pi\)
\(48\) 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 0.898742 0.438478i \(-0.144482\pi\)
−0.749035 + 0.662531i \(0.769482\pi\)
\(54\) −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 −0.657447 0.753501i \(-0.728364\pi\)
0.832869 + 0.553471i \(0.186697\pi\)
\(60\) 8.56631 11.4499i 1.10591 1.47818i
\(61\) −0.125998 + 1.92236i −0.0161324 + 0.246133i 0.982175 + 0.187970i \(0.0601909\pi\)
−0.998307 + 0.0581628i \(0.981476\pi\)
\(62\) 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 −0.0614580 0.998110i \(-0.519575\pi\)
0.754440 + 0.656369i \(0.227908\pi\)
\(68\) −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 −0.565871 0.824494i \(-0.691460\pi\)
0.983136 0.182874i \(-0.0585399\pi\)
\(72\) 5.68379 6.30036i 0.669841 0.742505i
\(73\) 2.86551 + 6.91795i 0.335382 + 0.809684i 0.998147 + 0.0608563i \(0.0193831\pi\)
−0.662764 + 0.748828i \(0.730617\pi\)
\(74\) −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 −0.464971 0.885326i \(-0.653935\pi\)
0.845339 0.534230i \(-0.179398\pi\)
\(80\) −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 −0.636832 0.771003i \(-0.719755\pi\)
0.681283 + 0.732020i \(0.261422\pi\)
\(84\) 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 −0.132147 0.991230i \(-0.542187\pi\)
−0.794347 + 0.607464i \(0.792187\pi\)
\(90\) −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 −0.759235 0.650817i \(-0.774426\pi\)
0.184007 + 0.982925i \(0.441093\pi\)
\(98\) −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 −0.958167 0.286209i \(-0.907605\pi\)
−0.585932 + 0.810360i \(0.699271\pi\)
\(102\) −0.435655 + 16.6087i −0.0431363 + 1.64450i
\(103\) −7.14117 + 5.47961i −0.703641 + 0.539922i −0.897450 0.441117i \(-0.854582\pi\)
0.193809 + 0.981039i \(0.437916\pi\)
\(104\) −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 −0.666838 0.745202i \(-0.732353\pi\)
0.433289 + 0.901255i \(0.357353\pi\)
\(108\) −10.2197 1.88636i −0.983388 0.181515i
\(109\) −0.132884 0.668053i −0.0127280 0.0639879i 0.973899 0.226980i \(-0.0728853\pi\)
−0.986627 + 0.162993i \(0.947885\pi\)
\(110\) 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 −0.359577 0.933116i \(-0.617079\pi\)
0.155155 + 0.987890i \(0.450412\pi\)
\(114\) −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 −0.140664 0.990057i \(-0.544924\pi\)
0.699835 + 0.714305i \(0.253257\pi\)
\(132\) 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 −0.722896 0.690957i \(-0.757189\pi\)
0.854513 + 0.519431i \(0.173856\pi\)
\(138\) 3.67133 + 5.05362i 0.312524 + 0.430193i
\(139\) 5.62928 0.368962i 0.477469 0.0312950i 0.175231 0.984527i \(-0.443933\pi\)
0.302238 + 0.953232i \(0.402266\pi\)
\(140\) 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 0.999903 + 0.0139435i \(0.00443849\pi\)
−0.989528 + 0.144338i \(0.953895\pi\)
\(150\) −22.9189 18.5611i −1.87132 1.51551i
\(151\) −6.56858 5.04025i −0.534544 0.410170i 0.305904 0.952062i \(-0.401041\pi\)
−0.840448 + 0.541893i \(0.817708\pi\)
\(152\) 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 −0.933574 0.358383i \(-0.883328\pi\)
0.283999 0.958824i \(-0.408339\pi\)
\(158\) 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 −0.956489 0.291769i \(-0.905756\pi\)
0.635591 + 0.772026i \(0.280756\pi\)
\(164\) −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 −0.626715 0.779248i \(-0.715601\pi\)
0.590490 + 0.807045i \(0.298934\pi\)
\(168\) 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 −0.998802 0.0489314i \(-0.984418\pi\)
−0.0818571 + 0.996644i \(0.526085\pi\)
\(174\) 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 −0.808646 0.588295i \(-0.799799\pi\)
−0.521961 + 0.852969i \(0.674799\pi\)
\(180\) −17.7397 17.2843i −1.32224 1.28830i
\(181\) 4.32029 + 6.46577i 0.321125 + 0.480597i 0.956551 0.291564i \(-0.0941757\pi\)
−0.635427 + 0.772161i \(0.719176\pi\)
\(182\) −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 0.709248 0.704959i \(-0.249034\pi\)
−0.965136 + 0.261748i \(0.915701\pi\)
\(192\) −12.2061 + 6.55834i −0.880897 + 0.473307i
\(193\) 12.0090 20.8002i 0.864428 1.49723i −0.00318514 0.999995i \(-0.501014\pi\)
0.867614 0.497239i \(-0.165653\pi\)
\(194\) −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 0.589374 0.807860i \(-0.299374\pi\)
0.235356 + 0.971909i \(0.424374\pi\)
\(198\) −1.01241 + 0.174775i −0.0719490 + 0.0124207i
\(199\) −4.08960 + 9.87317i −0.289904 + 0.699891i −0.999991 0.00422342i \(-0.998656\pi\)
0.710087 + 0.704114i \(0.248656\pi\)
\(200\) 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 −0.0140289 0.999902i \(-0.504466\pi\)
−0.619831 + 0.784735i \(0.712799\pi\)
\(212\) −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 −0.268542 0.963268i \(-0.586542\pi\)
0.699943 + 0.714199i \(0.253209\pi\)
\(224\) −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 0.283180 0.959067i \(-0.408610\pi\)
0.155574 + 0.987824i \(0.450277\pi\)
\(228\) −7.01036 24.9438i −0.464272 1.65195i
\(229\) −16.5861 14.5456i −1.09604 0.961202i −0.0966236 0.995321i \(-0.530804\pi\)
−0.999418 + 0.0341185i \(0.989138\pi\)
\(230\) 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 −0.638887 0.769300i \(-0.720605\pi\)
0.0922160 + 0.995739i \(0.470605\pi\)
\(234\) 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 −0.992080 0.125610i \(-0.959911\pi\)
0.796361 0.604821i \(-0.206755\pi\)
\(240\) 25.9406 + 12.0421i 1.67446 + 0.777312i
\(241\) 4.17528 15.5824i 0.268954 1.00375i −0.690832 0.723015i \(-0.742756\pi\)
0.959786 0.280733i \(-0.0905776\pi\)
\(242\) −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 0.364717 0.931119i \(-0.381166\pi\)
−0.0193694 + 0.999812i \(0.506166\pi\)
\(252\) −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 −0.786928 0.617045i \(-0.788330\pi\)
0.927841 + 0.372977i \(0.121663\pi\)
\(258\) 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 0.300583 0.953756i \(-0.402819\pi\)
0.537191 + 0.843460i \(0.319485\pi\)
\(264\) 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 −0.529582 0.848259i \(-0.677651\pi\)
−0.164655 + 0.986351i \(0.552651\pi\)
\(270\) −6.64737 + 29.5970i −0.404546 + 1.80121i
\(271\) 6.97499 + 6.97499i 0.423700 + 0.423700i 0.886476 0.462775i \(-0.153146\pi\)
−0.462775 + 0.886476i \(0.653146\pi\)
\(272\) 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 0.986197 0.165573i \(-0.0529475\pi\)
0.469001 + 0.883198i \(0.344614\pi\)
\(278\) 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 −0.997774 0.0666851i \(-0.978758\pi\)
0.946516 0.322656i \(-0.104576\pi\)
\(282\) −20.7434 + 11.2616i −1.23525 + 0.670616i
\(283\) 10.9664 + 9.61728i 0.651885 + 0.571688i 0.920106 0.391670i \(-0.128102\pi\)
−0.268221 + 0.963357i \(0.586436\pi\)
\(284\) 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 0.378591 0.925564i \(-0.376409\pi\)
−0.868230 + 0.496163i \(0.834742\pi\)
\(294\) −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 −0.516138 0.856505i \(-0.672631\pi\)
−0.149079 + 0.988825i \(0.547631\pi\)
\(308\) 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 −0.0325990 0.999469i \(-0.510378\pi\)
−0.290170 + 0.956975i \(0.593712\pi\)
\(312\) −8.38963 + 6.24163i −0.474969 + 0.353363i
\(313\) 7.93480 1.04464i 0.448501 0.0590463i 0.0971071 0.995274i \(-0.469041\pi\)
0.351394 + 0.936228i \(0.385708\pi\)
\(314\) 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 −0.703657 0.710539i \(-0.748451\pi\)
0.790382 0.612615i \(-0.209882\pi\)
\(318\) 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 −0.149706 0.988731i \(-0.547833\pi\)
0.875548 0.483131i \(-0.160501\pi\)
\(332\) 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 0.999746 + 0.0225402i \(0.00717536\pi\)
−0.854535 + 0.519393i \(0.826158\pi\)
\(338\) 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 0.560076 0.828441i \(-0.310772\pi\)
−0.748249 + 0.663418i \(0.769105\pi\)
\(348\) 14.9011 0.181487i 0.798785 0.00972870i
\(349\) 16.1492 + 1.05848i 0.864449 + 0.0566590i 0.491174 0.871062i \(-0.336568\pi\)
0.373275 + 0.927721i \(0.378235\pi\)
\(350\) 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 0.629048 0.777367i \(-0.283445\pi\)
0.987743 0.156088i \(-0.0498883\pi\)
\(354\) −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 0.179703 0.983721i \(-0.442486\pi\)
−0.568527 + 0.822665i \(0.692486\pi\)
\(360\) −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 −0.0166103 0.999862i \(-0.505287\pi\)
−0.514316 + 0.857601i \(0.671954\pi\)
\(368\) −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 0.0391665 0.999233i \(-0.487530\pi\)
0.169257 + 0.985572i \(0.445863\pi\)
\(374\) −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 0.275275 0.961366i \(-0.411231\pi\)
−0.113578 + 0.993529i \(0.536231\pi\)
\(380\) 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 −0.968279 0.249872i \(-0.919611\pi\)
0.700535 + 0.713618i \(0.252945\pi\)
\(384\) −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 0.993844 0.110791i \(-0.0353383\pi\)
−0.855914 + 0.517118i \(0.827005\pi\)
\(390\) 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 0.275812 0.961212i \(-0.411053\pi\)
0.622657 + 0.782495i \(0.286053\pi\)
\(398\) −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 −0.972455 0.233093i \(-0.925115\pi\)
0.725624 0.688091i \(-0.241551\pi\)
\(402\) 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 −0.900283 0.435305i \(-0.856641\pi\)
0.187462 + 0.982272i \(0.439974\pi\)
\(410\) 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 0.969079 + 0.246752i \(0.0793632\pi\)
−0.394176 + 0.919035i \(0.628970\pi\)
\(420\) 16.6494 29.6662i 0.812409 1.44756i
\(421\) 5.03589 1.70945i 0.245434 0.0833137i −0.196012 0.980602i \(-0.562799\pi\)
0.441446 + 0.897288i \(0.354466\pi\)
\(422\) −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 −0.0235510 0.999723i \(-0.507497\pi\)
0.999723 + 0.0235510i \(0.00749721\pi\)
\(432\) −0.523290 20.7780i −0.0251768 0.999683i
\(433\) −21.2660 21.2660i −1.02198 1.02198i −0.999753 0.0222243i \(-0.992925\pi\)
−0.0222243 0.999753i \(-0.507075\pi\)
\(434\) 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 −0.755932 0.654650i \(-0.772816\pi\)
0.827993 + 0.560738i \(0.189483\pi\)
\(440\) 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 0.858604 0.512640i \(-0.171332\pi\)
−0.993252 + 0.115980i \(0.962999\pi\)
\(444\) −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 0.0913446 0.995819i \(-0.470884\pi\)
0.938246 0.345969i \(-0.112450\pi\)
\(458\) −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 0.414155 0.910206i \(-0.364077\pi\)
−0.956478 + 0.291806i \(0.905744\pi\)
\(462\) −0.590726 1.28154i −0.0274831 0.0596224i
\(463\) −15.2778 + 4.09368i −0.710020 + 0.190249i −0.595714 0.803196i \(-0.703131\pi\)
−0.114306 + 0.993446i \(0.536464\pi\)
\(464\) −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 0.980115 0.198428i \(-0.0635836\pi\)
−0.981444 + 0.191750i \(0.938584\pi\)
\(468\) 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 −0.945133 0.326686i \(-0.894068\pi\)
−0.189648 + 0.981852i \(0.560735\pi\)
\(480\) 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 −0.323964 0.946069i \(-0.605016\pi\)
−0.898049 + 0.439895i \(0.855016\pi\)
\(488\) −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 −0.980839 0.194818i \(-0.937588\pi\)
0.947019 0.321177i \(-0.104078\pi\)
\(492\) −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 −0.384305 0.923206i \(-0.625559\pi\)
0.866902 0.498478i \(-0.166108\pi\)
\(500\) 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 0.983122 + 0.182952i \(0.0585653\pi\)
−0.565805 + 0.824539i \(0.691435\pi\)
\(504\) 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 −0.604233 0.796808i \(-0.706520\pi\)
0.264316 + 0.964436i \(0.414854\pi\)
\(510\) 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 0.915807 + 0.401618i \(0.131552\pi\)
−0.363587 + 0.931560i \(0.618448\pi\)
\(522\) −9.75124 15.4282i −0.426800 0.675274i
\(523\) 2.51679 + 3.76664i 0.110052 + 0.164704i 0.882407 0.470487i \(-0.155922\pi\)
−0.772356 + 0.635190i \(0.780922\pi\)
\(524\) 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 0.338588 0.940935i \(-0.390051\pi\)
0.739738 0.672895i \(-0.234949\pi\)
\(542\) 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 0.360487 0.932764i \(-0.382611\pi\)
0.235653 + 0.971837i \(0.424277\pi\)
\(548\) 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 0.981088 0.193560i \(-0.0620034\pi\)
−0.980480 + 0.196620i \(0.937003\pi\)
\(558\) −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 −0.535078 0.844803i \(-0.679718\pi\)
0.938789 0.344492i \(-0.111949\pi\)
\(564\) −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 −0.111470 0.993768i \(-0.535556\pi\)
0.149534 + 0.988757i \(0.452223\pi\)
\(570\) −73.5409 + 17.6521i −3.08029 + 0.739367i
\(571\) −30.7148 + 35.0235i −1.28537 + 1.46569i −0.474745 + 0.880123i \(0.657460\pi\)
−0.810627 + 0.585563i \(0.800873\pi\)
\(572\) −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 0.464646 + 0.885496i \(0.346182\pi\)
−0.985370 + 0.170428i \(0.945485\pi\)
\(588\) −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 −0.779313 0.626634i \(-0.784432\pi\)
0.626634 + 0.779313i \(0.284432\pi\)
\(594\) 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 −0.803383 0.595463i \(-0.796969\pi\)
0.930125 0.367242i \(-0.119698\pi\)
\(600\) 26.8718 52.5078i 1.09704 2.14362i
\(601\) 3.89000 + 29.5475i 0.158677 + 1.20527i 0.866609 + 0.498988i \(0.166295\pi\)
−0.707932 + 0.706280i \(0.750372\pi\)
\(602\) 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 0.0933643 0.995632i \(-0.470238\pi\)
−0.815560 + 0.578672i \(0.803571\pi\)
\(608\) −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 −0.969819 0.243826i \(-0.921597\pi\)
0.989304 + 0.145868i \(0.0465974\pi\)
\(614\) −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 −0.969089 0.246712i \(-0.920650\pi\)
0.999922 + 0.0125131i \(0.00398316\pi\)
\(618\) −3.45011 + 21.7769i −0.138784 + 0.875994i
\(619\) 22.5158 + 11.1036i 0.904986 + 0.446290i 0.834364 0.551213i \(-0.185835\pi\)
0.0706219 + 0.997503i \(0.477502\pi\)
\(620\) 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 0.869114 0.494613i \(-0.164690\pi\)
−0.964300 + 0.264812i \(0.914690\pi\)
\(632\) 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 0.992589 0.121516i \(-0.0387757\pi\)
−0.601531 + 0.798849i \(0.705442\pi\)
\(642\) −1.57102 + 6.94148i −0.0620033 + 0.273958i
\(643\) 18.0462 8.89939i 0.711671 0.350958i −0.0501525 0.998742i \(-0.515971\pi\)
0.761824 + 0.647784i \(0.224304\pi\)
\(644\) −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 0.324604 + 0.945850i \(0.394769\pi\)
−0.898346 + 0.439288i \(0.855231\pi\)
\(648\) −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 0.638767 + 0.769400i \(0.279445\pi\)
−0.975149 + 0.221549i \(0.928889\pi\)
\(654\) −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 0.135900 0.990722i \(-0.456607\pi\)
0.999985 0.00542260i \(-0.00172608\pi\)
\(660\) −1.56926 3.08679i −0.0610833 0.120153i
\(661\) 2.04170 + 31.1504i 0.0794131 + 1.21161i 0.832627 + 0.553834i \(0.186836\pi\)
−0.753214 + 0.657775i \(0.771498\pi\)
\(662\) 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 −0.538280 + 0.842766i \(0.680926\pi\)
−0.998997 + 0.0447815i \(0.985741\pi\)
\(674\) −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 0.305135 0.952309i \(-0.401298\pi\)
0.821809 + 0.569763i \(0.192965\pi\)
\(678\) −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 −0.986598 0.163167i \(-0.947829\pi\)
−0.226808 + 0.973939i \(0.572829\pi\)
\(684\) −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 0.941380 0.337349i \(-0.109530\pi\)
−0.457338 + 0.889293i \(0.651197\pi\)
\(692\) −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 0.292770 0.956183i \(-0.405423\pi\)
−0.771360 + 0.636400i \(0.780423\pi\)
\(702\) −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 0.978422 0.206619i \(-0.0662459\pi\)
−0.902015 + 0.431704i \(0.857913\pi\)
\(710\) 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 0.565368 0.824839i \(-0.308734\pi\)
−0.824839 + 0.565368i \(0.808734\pi\)
\(720\) 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 0.394024 0.919100i \(-0.371083\pi\)
−0.785802 + 0.618479i \(0.787749\pi\)
\(728\) −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 0.734854 0.678225i \(-0.237251\pi\)
−0.985423 + 0.170122i \(0.945584\pi\)
\(734\) −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 −0.269031 0.963132i \(-0.586703\pi\)
0.992771 0.120022i \(-0.0382966\pi\)
\(740\) −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 −0.601854 0.798606i \(-0.705571\pi\)
0.615623 + 0.788041i \(0.288904\pi\)
\(744\) 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 0.984916 0.173033i \(-0.0553566\pi\)
−0.939479 + 0.342608i \(0.888690\pi\)
\(752\) 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 0.981430 0.191823i \(-0.0614399\pi\)
−0.552798 + 0.833315i \(0.686440\pi\)
\(758\) 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 0.701420 0.712749i \(-0.252550\pi\)
−0.870003 + 0.493046i \(0.835883\pi\)
\(762\) 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 −0.809394 0.587266i \(-0.800204\pi\)
0.913284 + 0.407323i \(0.133538\pi\)
\(770\) 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
\(773\) 0.485696