Properties

Label 576.2.bm.a.13.52
Level $576$
Weight $2$
Character 576.13
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 13.52
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.52

$q$-expansion

\(f(q)\) \(=\) \(q+(0.222442 + 1.39661i) q^{2} +(-1.50071 - 0.864792i) q^{3} +(-1.90104 + 0.621330i) q^{4} +(1.32689 - 3.90890i) q^{5} +(0.873956 - 2.28827i) q^{6} +(-1.44824 + 1.88738i) q^{7} +(-1.29063 - 2.51680i) q^{8} +(1.50427 + 2.59561i) q^{9} +O(q^{10})\) \(q+(0.222442 + 1.39661i) q^{2} +(-1.50071 - 0.864792i) q^{3} +(-1.90104 + 0.621330i) q^{4} +(1.32689 - 3.90890i) q^{5} +(0.873956 - 2.28827i) q^{6} +(-1.44824 + 1.88738i) q^{7} +(-1.29063 - 2.51680i) q^{8} +(1.50427 + 2.59561i) q^{9} +(5.75437 + 0.983648i) q^{10} +(-0.241639 - 0.0158379i) q^{11} +(3.39023 + 0.711567i) q^{12} +(-1.40736 + 1.60479i) q^{13} +(-2.95809 - 1.60279i) q^{14} +(-5.37167 + 4.71865i) q^{15} +(3.22790 - 2.36234i) q^{16} +(-4.79616 - 4.79616i) q^{17} +(-3.29044 + 2.67825i) q^{18} +(-1.45921 + 7.33592i) q^{19} +(-0.0937593 + 8.25541i) q^{20} +(3.80559 - 1.57999i) q^{21} +(-0.0316314 - 0.340998i) q^{22} +(-2.02312 + 1.55240i) q^{23} +(-0.239652 + 4.89311i) q^{24} +(-9.55209 - 7.32958i) q^{25} +(-2.55432 - 1.60856i) q^{26} +(-0.0128128 - 5.19614i) q^{27} +(1.58047 - 4.48783i) q^{28} +(-1.90269 + 3.85827i) q^{29} +(-7.78499 - 6.45250i) q^{30} +(-7.75983 - 4.48014i) q^{31} +(4.01729 + 3.98263i) q^{32} +(0.348934 + 0.232736i) q^{33} +(5.63150 - 7.76524i) q^{34} +(5.45594 + 8.16539i) q^{35} +(-4.47240 - 3.99970i) q^{36} +(-0.502267 - 2.52507i) q^{37} +(-10.5700 - 0.406123i) q^{38} +(3.49985 - 1.19125i) q^{39} +(-11.5504 + 1.70541i) q^{40} +(-5.71662 + 4.38652i) q^{41} +(3.05315 + 4.96346i) q^{42} +(-0.445624 + 6.79892i) q^{43} +(0.469206 - 0.120029i) q^{44} +(12.1420 - 2.43595i) q^{45} +(-2.61812 - 2.48019i) q^{46} +(2.49397 - 9.30764i) q^{47} +(-6.88708 + 0.753735i) q^{48} +(0.346916 + 1.29471i) q^{49} +(8.11178 - 14.9710i) q^{50} +(3.04997 + 11.3453i) q^{51} +(1.67834 - 3.92519i) q^{52} +(1.08989 - 1.63113i) q^{53} +(7.25413 - 1.17373i) q^{54} +(-0.382538 + 0.923528i) q^{55} +(6.61931 + 1.20903i) q^{56} +(8.53389 - 9.74719i) q^{57} +(-5.81173 - 1.79907i) q^{58} +(0.656894 - 1.93515i) q^{59} +(7.27992 - 12.3079i) q^{60} +(1.72781 + 0.852063i) 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} +(-0.247423 + 0.539095i) q^{66} +(-0.413645 - 6.31100i) q^{67} +(12.0977 + 6.13769i) q^{68} +(4.37862 - 0.580118i) q^{69} +(-10.1902 + 9.43614i) q^{70} +(3.51594 + 8.48823i) q^{71} +(4.59117 - 7.13590i) q^{72} +(2.86551 - 6.91795i) q^{73} +(3.41481 - 1.26315i) q^{74} +(7.99637 + 19.2602i) q^{75} +(-1.78402 - 14.8525i) q^{76} +(0.379844 - 0.433129i) q^{77} +(2.44222 + 4.62294i) q^{78} +(-12.6173 - 3.38079i) q^{79} +(-4.95109 - 15.7521i) q^{80} +(-4.47435 + 7.80898i) q^{81} +(-7.39788 - 7.00815i) q^{82} +(-0.510057 + 0.173141i) q^{83} +(-6.25287 + 5.36815i) q^{84} +(-25.1117 + 12.3837i) q^{85} +(-9.59456 + 0.890001i) q^{86} +(6.19198 - 4.14472i) q^{87} +(0.272005 + 0.628598i) q^{88} +(-8.74053 + 3.62044i) q^{89} +(6.10295 + 16.4157i) q^{90} +(-0.990652 - 4.98034i) q^{91} +(2.88148 - 4.20819i) q^{92} +(7.77087 + 13.4340i) q^{93} +(13.5539 + 1.41270i) q^{94} +(26.7392 + 15.4379i) q^{95} +(-2.58465 - 9.45090i) q^{96} +(5.66534 - 3.27088i) q^{97} +(-1.73103 + 0.772503i) q^{98} +(-0.322381 - 0.651024i) 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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.222442 + 1.39661i 0.157290 + 0.987552i
\(3\) −1.50071 0.864792i −0.866436 0.499288i
\(4\) −1.90104 + 0.621330i −0.950520 + 0.310665i
\(5\) 1.32689 3.90890i 0.593405 1.74811i −0.0675797 0.997714i \(-0.521528\pi\)
0.660984 0.750400i \(-0.270139\pi\)
\(6\) 0.873956 2.28827i 0.356791 0.934184i
\(7\) −1.44824 + 1.88738i −0.547384 + 0.713364i −0.982344 0.187086i \(-0.940096\pi\)
0.434960 + 0.900450i \(0.356762\pi\)
\(8\) −1.29063 2.51680i −0.456305 0.889823i
\(9\) 1.50427 + 2.59561i 0.501423 + 0.865202i
\(10\) 5.75437 + 0.983648i 1.81969 + 0.311057i
\(11\) −0.241639 0.0158379i −0.0728569 0.00477529i 0.0289311 0.999581i \(-0.490790\pi\)
−0.101788 + 0.994806i \(0.532456\pi\)
\(12\) 3.39023 + 0.711567i 0.978676 + 0.205412i
\(13\) −1.40736 + 1.60479i −0.390331 + 0.445087i −0.913314 0.407256i \(-0.866486\pi\)
0.522983 + 0.852343i \(0.324819\pi\)
\(14\) −2.95809 1.60279i −0.790583 0.428365i
\(15\) −5.37167 + 4.71865i −1.38696 + 1.21835i
\(16\) 3.22790 2.36234i 0.806975 0.590586i
\(17\) −4.79616 4.79616i −1.16324 1.16324i −0.983762 0.179478i \(-0.942559\pi\)
−0.179478 0.983762i \(-0.557441\pi\)
\(18\) −3.29044 + 2.67825i −0.775564 + 0.631269i
\(19\) −1.45921 + 7.33592i −0.334765 + 1.68298i 0.336441 + 0.941705i \(0.390777\pi\)
−0.671206 + 0.741271i \(0.734223\pi\)
\(20\) −0.0937593 + 8.25541i −0.0209652 + 1.84597i
\(21\) 3.80559 1.57999i 0.830447 0.344782i
\(22\) −0.0316314 0.340998i −0.00674383 0.0727011i
\(23\) −2.02312 + 1.55240i −0.421850 + 0.323697i −0.797777 0.602952i \(-0.793991\pi\)
0.375927 + 0.926649i \(0.377324\pi\)
\(24\) −0.239652 + 4.89311i −0.0489187 + 0.998803i
\(25\) −9.55209 7.32958i −1.91042 1.46592i
\(26\) −2.55432 1.60856i −0.500942 0.315465i
\(27\) −0.0128128 5.19614i −0.00246583 0.999997i
\(28\) 1.58047 4.48783i 0.298682 0.848119i
\(29\) −1.90269 + 3.85827i −0.353320 + 0.716462i −0.998883 0.0472447i \(-0.984956\pi\)
0.645563 + 0.763707i \(0.276623\pi\)
\(30\) −7.78499 6.45250i −1.42134 1.17806i
\(31\) −7.75983 4.48014i −1.39371 0.804656i −0.399983 0.916523i \(-0.630984\pi\)
−0.993723 + 0.111866i \(0.964317\pi\)
\(32\) 4.01729 + 3.98263i 0.710164 + 0.704036i
\(33\) 0.348934 + 0.232736i 0.0607416 + 0.0405141i
\(34\) 5.63150 7.76524i 0.965794 1.33173i
\(35\) 5.45594 + 8.16539i 0.922222 + 1.38020i
\(36\) −4.47240 3.99970i −0.745400 0.666617i
\(37\) −0.502267 2.52507i −0.0825722 0.415118i −0.999857 0.0168876i \(-0.994624\pi\)
0.917285 0.398231i \(-0.130376\pi\)
\(38\) −10.5700 0.406123i −1.71468 0.0658819i
\(39\) 3.49985 1.19125i 0.560424 0.190752i
\(40\) −11.5504 + 1.70541i −1.82629 + 0.269648i
\(41\) −5.71662 + 4.38652i −0.892787 + 0.685059i −0.949647 0.313323i \(-0.898558\pi\)
0.0568599 + 0.998382i \(0.481891\pi\)
\(42\) 3.05315 + 4.96346i 0.471112 + 0.765879i
\(43\) −0.445624 + 6.79892i −0.0679571 + 1.03682i 0.818647 + 0.574297i \(0.194724\pi\)
−0.886604 + 0.462528i \(0.846942\pi\)
\(44\) 0.469206 0.120029i 0.0707354 0.0180951i
\(45\) 12.1420 2.43595i 1.81002 0.363129i
\(46\) −2.61812 2.48019i −0.386021 0.365685i
\(47\) 2.49397 9.30764i 0.363784 1.35766i −0.505279 0.862956i \(-0.668610\pi\)
0.869062 0.494703i \(-0.164723\pi\)
\(48\) −6.88708 + 0.753735i −0.994065 + 0.108792i
\(49\) 0.346916 + 1.29471i 0.0495594 + 0.184958i
\(50\) 8.11178 14.9710i 1.14718 2.11721i
\(51\) 3.04997 + 11.3453i 0.427081 + 1.58867i
\(52\) 1.67834 3.92519i 0.232744 0.544326i
\(53\) 1.08989 1.63113i 0.149707 0.224053i −0.749035 0.662531i \(-0.769482\pi\)
0.898742 + 0.438478i \(0.144482\pi\)
\(54\) 7.25413 1.17373i 0.987162 0.159725i
\(55\) −0.382538 + 0.923528i −0.0515814 + 0.124528i
\(56\) 6.61931 + 1.20903i 0.884542 + 0.161563i
\(57\) 8.53389 9.74719i 1.13034 1.29105i
\(58\) −5.81173 1.79907i −0.763118 0.236229i
\(59\) 0.656894 1.93515i 0.0855203 0.251935i −0.895754 0.444550i \(-0.853364\pi\)
0.981274 + 0.192615i \(0.0616970\pi\)
\(60\) 7.27992 12.3079i 0.939834 1.58894i
\(61\) 1.72781 + 0.852063i 0.221224 + 0.109096i 0.549524 0.835478i \(-0.314809\pi\)
−0.328300 + 0.944573i \(0.606476\pi\)
\(62\) 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
\(66\) −0.247423 + 0.539095i −0.0304557 + 0.0663580i
\(67\) −0.413645 6.31100i −0.0505347 0.771011i −0.945652 0.325180i \(-0.894575\pi\)
0.895117 0.445831i \(-0.147092\pi\)
\(68\) 12.0977 + 6.13769i 1.46706 + 0.744305i
\(69\) 4.37862 0.580118i 0.527124 0.0698381i
\(70\) −10.1902 + 9.43614i −1.21797 + 1.12783i
\(71\) 3.51594 + 8.48823i 0.417265 + 1.00737i 0.983136 + 0.182874i \(0.0585399\pi\)
−0.565871 + 0.824494i \(0.691460\pi\)
\(72\) 4.59117 7.13590i 0.541075 0.840974i
\(73\) 2.86551 6.91795i 0.335382 0.809684i −0.662764 0.748828i \(-0.730617\pi\)
0.998147 0.0608563i \(-0.0193831\pi\)
\(74\) 3.41481 1.26315i 0.396963 0.146838i
\(75\) 7.99637 + 19.2602i 0.923342 + 2.22397i
\(76\) −1.78402 14.8525i −0.204641 1.70370i
\(77\) 0.379844 0.433129i 0.0432872 0.0493596i
\(78\) 2.44222 + 4.62294i 0.276527 + 0.523444i
\(79\) −12.6173 3.38079i −1.41956 0.380369i −0.534230 0.845339i \(-0.679398\pi\)
−0.885326 + 0.464971i \(0.846065\pi\)
\(80\) −4.95109 15.7521i −0.553549 1.76114i
\(81\) −4.47435 + 7.80898i −0.497150 + 0.867665i
\(82\) −7.39788 7.00815i −0.816959 0.773920i
\(83\) −0.510057 + 0.173141i −0.0559860 + 0.0190047i −0.349292 0.937014i \(-0.613578\pi\)
0.293306 + 0.956019i \(0.405245\pi\)
\(84\) −6.25287 + 5.36815i −0.682244 + 0.585713i
\(85\) −25.1117 + 12.3837i −2.72375 + 1.34320i
\(86\) −9.59456 + 0.890001i −1.03461 + 0.0959713i
\(87\) 6.19198 4.14472i 0.663850 0.444360i
\(88\) 0.272005 + 0.628598i 0.0289958 + 0.0670088i
\(89\) −8.74053 + 3.62044i −0.926494 + 0.383766i −0.794347 0.607464i \(-0.792187\pi\)
−0.132147 + 0.991230i \(0.542187\pi\)
\(90\) 6.10295 + 16.4157i 0.643308 + 1.73037i
\(91\) −0.990652 4.98034i −0.103849 0.522082i
\(92\) 2.88148 4.20819i 0.300416 0.438734i
\(93\) 7.77087 + 13.4340i 0.805802 + 1.39304i
\(94\) 13.5539 + 1.41270i 1.39798 + 0.145709i
\(95\) 26.7392 + 15.4379i 2.74338 + 1.58389i
\(96\) −2.58465 9.45090i −0.263795 0.964579i
\(97\) 5.66534 3.27088i 0.575228 0.332108i −0.184007 0.982925i \(-0.558907\pi\)
0.759235 + 0.650817i \(0.225574\pi\)
\(98\) −1.73103 + 0.772503i −0.174861 + 0.0780346i
\(99\) −0.322381 0.651024i −0.0324005 0.0654304i
\(100\) 22.7130 + 7.99882i 2.27130 + 0.799882i
\(101\) 12.3209 10.8052i 1.22598 1.07515i 0.231219 0.972902i \(-0.425729\pi\)
0.994759 0.102252i \(-0.0326048\pi\)
\(102\) −15.1666 + 6.78330i −1.50171 + 0.671647i
\(103\) −1.17490 + 8.92424i −0.115766 + 0.879332i 0.830743 + 0.556656i \(0.187916\pi\)
−0.946509 + 0.322676i \(0.895418\pi\)
\(104\) 5.85530 + 1.47086i 0.574159 + 0.144230i
\(105\) −1.12642 16.9721i −0.109928 1.65631i
\(106\) 2.52049 + 1.15931i 0.244811 + 0.112602i
\(107\) −2.41585 1.61422i −0.233549 0.156053i 0.433289 0.901255i \(-0.357353\pi\)
−0.666838 + 0.745202i \(0.732353\pi\)
\(108\) 3.25287 + 9.87010i 0.313008 + 0.949751i
\(109\) −0.132884 + 0.668053i −0.0127280 + 0.0639879i −0.986627 0.162993i \(-0.947885\pi\)
0.973899 + 0.226980i \(0.0728853\pi\)
\(110\) −1.37490 0.328825i −0.131092 0.0313522i
\(111\) −1.42990 + 4.22375i −0.135720 + 0.400901i
\(112\) −0.216124 + 9.51353i −0.0204218 + 0.898944i
\(113\) 0.582262 + 2.17303i 0.0547746 + 0.204422i 0.987890 0.155155i \(-0.0495877\pi\)
−0.933116 + 0.359577i \(0.882921\pi\)
\(114\) 15.5113 + 9.75034i 1.45277 + 0.913203i
\(115\) 3.38370 + 9.96805i 0.315531 + 0.929525i
\(116\) 1.21983 8.51691i 0.113258 0.790775i
\(117\) −6.28244 1.23892i −0.580812 0.114538i
\(118\) 2.84877 + 0.486966i 0.262250 + 0.0448289i
\(119\) 15.9982 2.10620i 1.46655 0.193075i
\(120\) 18.8087 + 7.42941i 1.71699 + 0.678210i
\(121\) −10.8478 1.42813i −0.986160 0.129830i
\(122\) −0.805662 + 2.60262i −0.0729412 + 0.235630i
\(123\) 12.3724 1.63921i 1.11558 0.147802i
\(124\) 17.5354 + 3.69551i 1.57472 + 0.331866i
\(125\) −24.1638 + 16.1457i −2.16128 + 1.44412i
\(126\) −0.289539 10.0891i −0.0257942 0.898806i
\(127\) 3.86154 0.342656 0.171328 0.985214i \(-0.445194\pi\)
0.171328 + 0.985214i \(0.445194\pi\)
\(128\) −10.1116 5.07507i −0.893744 0.448577i
\(129\) 6.54840 9.81784i 0.576555 0.864412i
\(130\) −9.67700 + 7.85018i −0.848729 + 0.688506i
\(131\) −0.466711 7.12063i −0.0407767 0.622132i −0.968523 0.248922i \(-0.919924\pi\)
0.927747 0.373210i \(-0.121743\pi\)
\(132\) −0.807943 0.225636i −0.0703224 0.0196391i
\(133\) −11.7324 13.3783i −1.01733 1.16004i
\(134\) 8.72199 1.98153i 0.753465 0.171178i
\(135\) −20.3282 6.84463i −1.74957 0.589092i
\(136\) −5.88093 + 18.2610i −0.504285 + 1.56587i
\(137\) −2.50896 + 0.330311i −0.214355 + 0.0282204i −0.236939 0.971525i \(-0.576144\pi\)
0.0225838 + 0.999745i \(0.492811\pi\)
\(138\) 1.78419 + 5.98619i 0.151880 + 0.509578i
\(139\) −2.49511 5.05958i −0.211632 0.429148i 0.765010 0.644018i \(-0.222734\pi\)
−0.976643 + 0.214870i \(0.931067\pi\)
\(140\) −15.4453 12.1328i −1.30537 1.02541i
\(141\) −11.7919 + 11.8113i −0.993058 + 0.994692i
\(142\) −11.0727 + 6.79853i −0.929196 + 0.570520i
\(143\) 0.365489 0.365489i 0.0305637 0.0305637i
\(144\) 10.9873 + 4.82476i 0.915612 + 0.402063i
\(145\) 12.5569 + 12.5569i 1.04280 + 1.04280i
\(146\) 10.2991 + 2.46315i 0.852358 + 0.203852i
\(147\) 0.599032 2.24299i 0.0494073 0.184999i
\(148\) 2.52373 + 4.48818i 0.207449 + 0.368926i
\(149\) −1.73654 + 0.856365i −0.142263 + 0.0701562i −0.512027 0.858969i \(-0.671105\pi\)
0.369764 + 0.929126i \(0.379438\pi\)
\(150\) −25.1202 + 15.4521i −2.05106 + 1.26166i
\(151\) −1.08069 8.20868i −0.0879456 0.668013i −0.977462 0.211110i \(-0.932292\pi\)
0.889517 0.456903i \(-0.151041\pi\)
\(152\) 20.3463 5.79540i 1.65031 0.470069i
\(153\) 5.23423 19.6637i 0.423163 1.58971i
\(154\) 0.689405 + 0.434147i 0.0555538 + 0.0349846i
\(155\) −27.8089 + 24.3877i −2.23366 + 1.95887i
\(156\) −5.91319 + 4.43916i −0.473434 + 0.355418i
\(157\) 18.3630 1.20357i 1.46552 0.0960555i 0.688367 0.725363i \(-0.258328\pi\)
0.777156 + 0.629307i \(0.216661\pi\)
\(158\) 1.91503 18.3735i 0.152352 1.46171i
\(159\) −3.04619 + 1.50533i −0.241579 + 0.119380i
\(160\) 20.8982 10.4187i 1.65215 0.823669i
\(161\) 6.06665i 0.478119i
\(162\) −11.9014 4.51188i −0.935061 0.354486i
\(163\) −4.09695 6.13151i −0.320898 0.480257i 0.635591 0.772026i \(-0.280756\pi\)
−0.956489 + 0.291769i \(0.905756\pi\)
\(164\) 8.14205 11.8909i 0.635787 0.928520i
\(165\) 1.37274 1.05513i 0.106868 0.0821420i
\(166\) −0.355268 0.673836i −0.0275742 0.0522998i
\(167\) −0.0770195 + 0.585021i −0.00595995 + 0.0452703i −0.994166 0.107857i \(-0.965601\pi\)
0.988206 + 0.153127i \(0.0489345\pi\)
\(168\) −8.88811 7.53872i −0.685733 0.581625i
\(169\) 1.10216 + 8.37176i 0.0847818 + 0.643982i
\(170\) −22.8811 32.3166i −1.75490 2.47857i
\(171\) −21.2362 + 7.24767i −1.62397 + 0.554243i
\(172\) −3.37722 13.2019i −0.257511 1.00663i
\(173\) 17.9021 6.07695i 1.36107 0.462022i 0.457025 0.889454i \(-0.348915\pi\)
0.904048 + 0.427432i \(0.140582\pi\)
\(174\) 7.16591 + 7.72582i 0.543246 + 0.585693i
\(175\) 27.6675 7.41347i 2.09146 0.560406i
\(176\) −0.817401 + 0.519712i −0.0616139 + 0.0391747i
\(177\) −2.65931 + 2.33602i −0.199886 + 0.175586i
\(178\) −7.00061 11.4018i −0.524718 0.854598i
\(179\) −17.8023 3.54110i −1.33061 0.264674i −0.521961 0.852969i \(-0.674799\pi\)
−0.808646 + 0.588295i \(0.799799\pi\)
\(180\) −21.5688 + 12.1750i −1.60765 + 0.907471i
\(181\) 4.32029 6.46577i 0.321125 0.480597i −0.635427 0.772161i \(-0.719176\pi\)
0.956551 + 0.291564i \(0.0941757\pi\)
\(182\) 6.73523 2.49139i 0.499249 0.184674i
\(183\) −1.85609 2.77290i −0.137206 0.204979i
\(184\) 6.51817 + 3.08823i 0.480526 + 0.227667i
\(185\) −10.5367 1.38718i −0.774673 0.101988i
\(186\) −17.0335 + 13.8412i −1.24896 + 1.01488i
\(187\) 1.08298 + 1.23490i 0.0791953 + 0.0903049i
\(188\) 1.04197 + 19.2438i 0.0759935 + 1.40350i
\(189\) 9.82566 + 7.50107i 0.714712 + 0.545623i
\(190\) −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 \(0.915701\pi\)
\(192\) 12.6243 5.71203i 0.911080 0.412230i
\(193\) 12.0090 20.8002i 0.864428 1.49723i −0.00318514 0.999995i \(-0.501014\pi\)
0.867614 0.497239i \(-0.165653\pi\)
\(194\) 5.82836 + 7.18468i 0.418452 + 0.515830i
\(195\) −0.0125439 15.2612i −0.000898286 1.09288i
\(196\) −1.46394 2.24574i −0.104567 0.160410i
\(197\) 11.5756 2.30254i 0.824730 0.164049i 0.235356 0.971909i \(-0.424374\pi\)
0.589374 + 0.807860i \(0.299374\pi\)
\(198\) 0.837516 0.595056i 0.0595197 0.0422888i
\(199\) −4.08960 9.87317i −0.289904 0.699891i 0.710087 0.704114i \(-0.248656\pi\)
−0.999991 + 0.00422342i \(0.998656\pi\)
\(200\) −6.11890 + 33.5005i −0.432672 + 2.36884i
\(201\) −4.83694 + 9.82870i −0.341171 + 0.693263i
\(202\) 17.8313 + 14.8040i 1.25461 + 1.04161i
\(203\) −4.52648 9.17880i −0.317697 0.644225i
\(204\) −12.8473 19.6729i −0.899492 1.37738i
\(205\) 9.56112 + 28.1662i 0.667778 + 1.96721i
\(206\) −12.7250 + 0.344252i −0.886595 + 0.0239852i
\(207\) −7.07273 2.91601i −0.491589 0.202677i
\(208\) −0.751757 + 8.50475i −0.0521250 + 0.589698i
\(209\) 0.468786 1.74953i 0.0324266 0.121018i
\(210\) 23.4529 5.34849i 1.61840 0.369081i
\(211\) 7.31042 + 6.41106i 0.503270 + 0.441356i 0.872955 0.487801i \(-0.162201\pi\)
−0.369685 + 0.929157i \(0.620534\pi\)
\(212\) −1.05845 + 3.77802i −0.0726944 + 0.259475i
\(213\) 2.06414 15.7789i 0.141433 1.08115i
\(214\) 1.71705 3.73307i 0.117375 0.255188i
\(215\) 25.9850 + 10.7633i 1.77216 + 0.734053i
\(216\) −13.0611 + 6.73852i −0.888695 + 0.458498i
\(217\) 19.6938 8.15745i 1.33690 0.553764i
\(218\) −0.962568 0.0369840i −0.0651934 0.00250487i
\(219\) −10.2829 + 7.90377i −0.694853 + 0.534087i
\(220\) 0.153404 1.99334i 0.0103425 0.134391i
\(221\) 14.4467 0.946889i 0.971792 0.0636946i
\(222\) −6.21701 1.05747i −0.417258 0.0709729i
\(223\) −6.44219 + 3.71940i −0.431401 + 0.249069i −0.699943 0.714199i \(-0.746791\pi\)
0.268542 + 0.963268i \(0.413458\pi\)
\(224\) −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
\(227\) −2.93003 + 5.94151i −0.194473 + 0.394352i −0.972166 0.234292i \(-0.924723\pi\)
0.777694 + 0.628644i \(0.216390\pi\)
\(228\) −10.1670 + 23.8321i −0.673329 + 1.57832i
\(229\) 20.8899 + 7.09118i 1.38045 + 0.468598i 0.910285 0.413982i \(-0.135862\pi\)
0.470161 + 0.882580i \(0.344196\pi\)
\(230\) −13.1688 + 6.94302i −0.868325 + 0.457809i
\(231\) −0.944602 + 0.321515i −0.0621502 + 0.0211542i
\(232\) 12.1661 0.190899i 0.798746 0.0125331i
\(233\) −8.34457 3.45644i −0.546671 0.226439i 0.0922160 0.995739i \(-0.470605\pi\)
−0.638887 + 0.769300i \(0.720605\pi\)
\(234\) 0.332812 9.04970i 0.0217566 0.591598i
\(235\) −33.0734 22.0989i −2.15747 1.44158i
\(236\) −0.0464166 + 4.08694i −0.00302146 + 0.266037i
\(237\) 16.0112 + 15.9849i 1.04004 + 1.03833i
\(238\) 6.50022 + 21.8747i 0.421346 + 1.41793i
\(239\) 11.2922 3.02573i 0.730431 0.195718i 0.125610 0.992080i \(-0.459911\pi\)
0.604821 + 0.796361i \(0.293245\pi\)
\(240\) −6.19215 + 27.9210i −0.399701 + 1.80230i
\(241\) −15.5824 4.17528i −1.00375 0.268954i −0.280733 0.959786i \(-0.590578\pi\)
−0.723015 + 0.690832i \(0.757244\pi\)
\(242\) −0.418451 15.4678i −0.0268990 0.994305i
\(243\) 13.4679 7.84964i 0.863963 0.503555i
\(244\) −3.81405 0.546264i −0.244170 0.0349709i
\(245\) 5.52120 + 0.361879i 0.352737 + 0.0231196i
\(246\) 5.04148 + 16.9148i 0.321433 + 1.07845i
\(247\) −9.71895 12.6660i −0.618402 0.805917i
\(248\) −1.26058 + 25.3121i −0.0800466 + 1.60732i
\(249\) 0.915179 + 0.181258i 0.0579971 + 0.0114868i
\(250\) −27.9243 30.1559i −1.76609 1.90723i
\(251\) 5.47133 1.08832i 0.345347 0.0686938i −0.0193694 0.999812i \(-0.506166\pi\)
0.364717 + 0.931119i \(0.381166\pi\)
\(252\) 14.0261 2.64861i 0.883561 0.166847i
\(253\) 0.513452 0.343078i 0.0322805 0.0215691i
\(254\) 0.858968 + 5.39306i 0.0538965 + 0.338391i
\(255\) 48.3948 + 3.13202i 3.03060 + 0.196134i
\(256\) 4.83866 15.2508i 0.302416 0.953176i
\(257\) 2.25901 3.91271i 0.140913 0.244068i −0.786928 0.617045i \(-0.788330\pi\)
0.927841 + 0.372977i \(0.121663\pi\)
\(258\) 15.1683 + 6.96167i 0.944339 + 0.433414i
\(259\) 5.49318 + 2.70893i 0.341329 + 0.168325i
\(260\) −13.1162 11.7688i −0.813433 0.729869i
\(261\) −12.8767 + 0.865244i −0.797047 + 0.0535573i
\(262\) 9.84093 2.23574i 0.607975 0.138125i
\(263\) −8.34226 + 10.8718i −0.514406 + 0.670387i −0.976268 0.216565i \(-0.930515\pi\)
0.461862 + 0.886952i \(0.347181\pi\)
\(264\) 0.135406 1.17857i 0.00833364 0.0725361i
\(265\) −4.92976 6.42459i −0.302833 0.394659i
\(266\) 16.0744 19.3615i 0.985586 1.18713i
\(267\) 16.2479 + 2.12550i 0.994358 + 0.130078i
\(268\) 4.70756 + 11.7404i 0.287560 + 0.717162i
\(269\) −11.3863 2.26488i −0.694237 0.138092i −0.164655 0.986351i \(-0.552651\pi\)
−0.529582 + 0.848259i \(0.677651\pi\)
\(270\) 5.03744 29.9131i 0.306569 1.82045i
\(271\) 6.97499 6.97499i 0.423700 0.423700i −0.462775 0.886476i \(-0.653146\pi\)
0.886476 + 0.462775i \(0.153146\pi\)
\(272\) −26.8117 4.15134i −1.62570 0.251712i
\(273\) −2.82028 + 8.33076i −0.170691 + 0.504201i
\(274\) −1.01941 3.43056i −0.0615850 0.207248i
\(275\) 2.19207 + 1.92240i 0.132187 + 0.115925i
\(276\) −7.96349 + 3.82340i −0.479346 + 0.230141i
\(277\) −1.76616 + 26.9464i −0.106118 + 1.61905i 0.530371 + 0.847765i \(0.322052\pi\)
−0.636490 + 0.771285i \(0.719614\pi\)
\(278\) 6.51124 4.61015i 0.390518 0.276499i
\(279\) −0.0441891 26.8808i −0.00264553 1.60931i
\(280\) 13.5091 24.2700i 0.807321 1.45041i
\(281\) −5.22254 4.00739i −0.311550 0.239061i 0.441136 0.897440i \(-0.354576\pi\)
−0.752686 + 0.658379i \(0.771242\pi\)
\(282\) −19.1188 13.8414i −1.13851 0.824241i
\(283\) −13.8120 4.68854i −0.821039 0.278705i −0.120857 0.992670i \(-0.538564\pi\)
−0.700181 + 0.713965i \(0.746898\pi\)
\(284\) −11.9579 13.9519i −0.709572 0.827893i
\(285\) −26.7772 46.2916i −1.58615 2.74208i
\(286\) 0.591746 + 0.429146i 0.0349907 + 0.0253759i
\(287\) 17.1422i 1.01187i
\(288\) −4.29425 + 16.4183i −0.253041 + 0.967455i
\(289\) 29.0063i 1.70625i
\(290\) −14.7439 + 20.3303i −0.865793 + 1.19384i
\(291\) −11.3307 + 0.00931319i −0.664216 + 0.000545949i
\(292\) −1.14912 + 14.9317i −0.0672469 + 0.873812i
\(293\) 10.5561 + 3.58330i 0.616692 + 0.209339i 0.612266 0.790652i \(-0.290258\pi\)
0.00442540 + 0.999990i \(0.498591\pi\)
\(294\) 3.26583 + 0.337679i 0.190467 + 0.0196938i
\(295\) −6.69267 5.13546i −0.389662 0.298998i
\(296\) −5.70685 + 4.52302i −0.331704 + 0.262895i
\(297\) −0.0791996 + 1.25579i −0.00459563 + 0.0728685i
\(298\) −1.58229 2.23477i −0.0916595 0.129457i
\(299\) 0.355996 5.43146i 0.0205878 0.314109i
\(300\) −27.1683 31.6459i −1.56856 1.82708i
\(301\) −12.1868 10.6875i −0.702435 0.616019i
\(302\) 11.2239 3.33526i 0.645865 0.191923i
\(303\) −27.8344 + 5.56039i −1.59904 + 0.319436i
\(304\) 12.6198 + 27.1268i 0.723795 + 1.55583i
\(305\) 5.62325 5.62325i 0.321987 0.321987i
\(306\) 28.6268 + 2.93616i 1.63648 + 0.167849i
\(307\) −11.6556 2.31843i −0.665218 0.132320i −0.149079 0.988825i \(-0.547631\pi\)
−0.516138 + 0.856505i \(0.672631\pi\)
\(308\) −0.452982 + 1.05940i −0.0258110 + 0.0603651i
\(309\) 9.48080 12.3767i 0.539344 0.704084i
\(310\) −40.2460 33.4133i −2.28582 1.89775i
\(311\) 3.49502 + 4.55480i 0.198185 + 0.258279i 0.881865 0.471503i \(-0.156288\pi\)
−0.683680 + 0.729782i \(0.739622\pi\)
\(312\) −7.51512 7.27096i −0.425460 0.411637i
\(313\) −4.87208 + 6.34942i −0.275386 + 0.358890i −0.910486 0.413540i \(-0.864292\pi\)
0.635100 + 0.772430i \(0.280959\pi\)
\(314\) 5.76561 + 25.3782i 0.325372 + 1.43217i
\(315\) −12.9869 + 26.4444i −0.731731 + 1.48997i
\(316\) 26.0865 1.41248i 1.46748 0.0794581i
\(317\) −21.1739 10.4418i −1.18925 0.586472i −0.263516 0.964655i \(-0.584882\pi\)
−0.925731 + 0.378183i \(0.876549\pi\)
\(318\) −2.77996 3.91949i −0.155892 0.219794i
\(319\) 0.520870 0.902173i 0.0291631 0.0505120i
\(320\) 19.1995 + 26.8691i 1.07328 + 1.50203i
\(321\) 2.22953 + 4.51169i 0.124440 + 0.251818i
\(322\) 8.47275 1.34948i 0.472168 0.0752035i
\(323\) 42.1828 28.1857i 2.34712 1.56829i
\(324\) 3.65396 17.6252i 0.202998 0.979179i
\(325\) 25.2056 5.01371i 1.39816 0.278111i
\(326\) 7.65200 7.08574i 0.423805 0.392443i
\(327\) 0.777147 0.887637i 0.0429763 0.0490865i
\(328\) 18.4180 + 8.72624i 1.01697 + 0.481826i
\(329\) 13.9552 + 18.1868i 0.769376 + 1.00267i
\(330\) 1.77896 + 1.68247i 0.0979288 + 0.0926172i
\(331\) −29.7933 1.95276i −1.63759 0.107333i −0.781413 0.624015i \(-0.785501\pi\)
−0.856178 + 0.516681i \(0.827167\pi\)
\(332\) 0.862060 0.646061i 0.0473117 0.0354572i
\(333\) 5.79854 5.10207i 0.317758 0.279592i
\(334\) −0.834179 + 0.0225671i −0.0456443 + 0.00123482i
\(335\) −25.2179 6.75712i −1.37780 0.369181i
\(336\) 8.55156 14.0902i 0.466526 0.768681i
\(337\) −9.94858 + 2.66571i −0.541933 + 0.145211i −0.519393 0.854535i \(-0.673842\pi\)
−0.0225402 + 0.999746i \(0.507175\pi\)
\(338\) −11.4469 + 3.40153i −0.622631 + 0.185019i
\(339\) 1.00541 3.76463i 0.0546066 0.204467i
\(340\) 40.0440 39.1446i 2.17169 2.12291i
\(341\) 1.80412 + 1.20548i 0.0976986 + 0.0652801i
\(342\) −14.8460 28.0465i −0.802780 1.51658i
\(343\) −18.3314 7.59310i −0.989801 0.409989i
\(344\) 17.6866 7.65331i 0.953600 0.412639i
\(345\) 3.54234 17.8854i 0.190713 0.962915i
\(346\) 12.4693 + 23.6505i 0.670355 + 1.27146i
\(347\) 4.41484 + 1.49864i 0.237001 + 0.0804511i 0.437413 0.899261i \(-0.355895\pi\)
−0.200412 + 0.979712i \(0.564228\pi\)
\(348\) −9.19596 + 11.7265i −0.492955 + 0.628608i
\(349\) −7.15795 + 14.5149i −0.383156 + 0.776964i −0.999948 0.0101620i \(-0.996765\pi\)
0.616792 + 0.787126i \(0.288432\pi\)
\(350\) 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 \(0.716555\pi\)
−0.987743 + 0.156088i \(0.950112\pi\)
\(354\) −3.85405 3.19439i −0.204840 0.169780i
\(355\) 37.8449 2.48049i 2.00860 0.131651i
\(356\) 14.3666 12.3134i 0.761428 0.652606i
\(357\) −25.8301 10.6743i −1.36707 0.564945i
\(358\) 0.985552 25.6506i 0.0520881 1.35568i
\(359\) −7.36716 + 3.05158i −0.388824 + 0.161056i −0.568527 0.822665i \(-0.692486\pi\)
0.179703 + 0.983721i \(0.442486\pi\)
\(360\) −21.8015 27.4150i −1.14904 1.44490i
\(361\) −34.1327 14.1382i −1.79646 0.744118i
\(362\) 9.99117 + 4.59550i 0.525124 + 0.241534i
\(363\) 15.0443 + 11.5243i 0.789621 + 0.604867i
\(364\) 4.97770 + 8.85230i 0.260903 + 0.463987i
\(365\) −23.2393 20.3804i −1.21640 1.06676i
\(366\) 3.45979 3.20905i 0.180846 0.167739i
\(367\) 2.72533 10.1711i 0.142261 0.530926i −0.857601 0.514316i \(-0.828046\pi\)
0.999862 0.0166103i \(-0.00528747\pi\)
\(368\) −2.86314 + 9.79029i −0.149251 + 0.510354i
\(369\) −19.9850 8.23960i −1.04038 0.428937i
\(370\) −0.406452 15.0242i −0.0211304 0.781072i
\(371\) 1.50015 + 4.41930i 0.0778839 + 0.229439i
\(372\) −23.1197 20.7103i −1.19870 1.07378i
\(373\) −1.78418 3.61796i −0.0923814 0.187331i 0.845778 0.533536i \(-0.179137\pi\)
−0.938159 + 0.346205i \(0.887470\pi\)
\(374\) −1.48377 + 1.78719i −0.0767242 + 0.0924136i
\(375\) 50.2256 3.33342i 2.59364 0.172137i
\(376\) −26.6443 + 5.73585i −1.37407 + 0.295804i
\(377\) −3.51393 8.48337i −0.180976 0.436916i
\(378\) −8.29043 + 15.3912i −0.426414 + 0.791637i
\(379\) 3.14791 0.626159i 0.161697 0.0321636i −0.113578 0.993529i \(-0.536231\pi\)
0.275275 + 0.961366i \(0.411231\pi\)
\(380\) −60.4242 12.7342i −3.09970 0.653248i
\(381\) −5.79505 3.33943i −0.296890 0.171084i
\(382\) 7.76799 6.30155i 0.397445 0.322415i
\(383\) −5.23985 + 9.07569i −0.267744 + 0.463746i −0.968279 0.249872i \(-0.919611\pi\)
0.700535 + 0.713618i \(0.252945\pi\)
\(384\) 10.7856 + 16.3606i 0.550403 + 0.834899i
\(385\) −1.18905 2.05949i −0.0605993 0.104961i
\(386\) 31.7211 + 12.1451i 1.61456 + 0.618168i
\(387\) −18.3177 + 9.07073i −0.931139 + 0.461091i
\(388\) −8.73773 + 9.73812i −0.443591 + 0.494378i
\(389\) 5.58015 + 6.36294i 0.282925 + 0.322614i 0.875794 0.482685i \(-0.160338\pi\)
−0.592869 + 0.805299i \(0.702005\pi\)
\(390\) 21.3112 3.41225i 1.07913 0.172786i
\(391\) 17.1488 + 2.25768i 0.867250 + 0.114176i
\(392\) 2.81078 2.54410i 0.141966 0.128496i
\(393\) −5.45747 + 11.0896i −0.275293 + 0.559397i
\(394\) 5.79065 + 15.6545i 0.291729 + 0.788660i
\(395\) −29.9570 + 44.8338i −1.50730 + 2.25583i
\(396\) 1.01736 + 1.03732i 0.0511243 + 0.0521272i
\(397\) 17.9019 + 3.56090i 0.898468 + 0.178716i 0.622657 0.782495i \(-0.286053\pi\)
0.275812 + 0.961212i \(0.411053\pi\)
\(398\) 12.8793 7.90779i 0.645580 0.396382i
\(399\) 6.03756 + 30.2230i 0.302256 + 1.51304i
\(400\) −48.1482 1.09381i −2.40741 0.0546904i
\(401\) 18.4467 4.94278i 0.921184 0.246831i 0.233093 0.972455i \(-0.425115\pi\)
0.688091 + 0.725624i \(0.258449\pi\)
\(402\) −14.8028 4.56900i −0.738297 0.227881i
\(403\) 18.1105 6.14769i 0.902149 0.306238i
\(404\) −16.7090 + 28.1964i −0.831303 + 1.40282i
\(405\) 24.5876 + 27.8515i 1.22177 + 1.38395i
\(406\) 11.8123 8.36348i 0.586236 0.415073i
\(407\) 0.0813757 + 0.618110i 0.00403364 + 0.0306386i
\(408\) 24.6176 22.3188i 1.21875 1.10494i
\(409\) −2.37177 + 18.0154i −0.117277 + 0.890805i 0.827127 + 0.562016i \(0.189974\pi\)
−0.944403 + 0.328789i \(0.893359\pi\)
\(410\) −37.2103 + 19.6185i −1.83769 + 0.968889i
\(411\) 4.05088 + 1.67403i 0.199815 + 0.0825737i
\(412\) −3.31137 17.6953i −0.163139 0.871787i
\(413\) 2.70102 + 4.04237i 0.132909 + 0.198912i
\(414\) 2.49925 10.5265i 0.122832 0.517349i
\(415\) 2.22350i 0.109147i
\(416\) −12.0450 + 0.841903i −0.590557 + 0.0412777i
\(417\) −0.631047 + 9.75071i −0.0309025 + 0.477495i
\(418\) 2.54769 + 0.265542i 0.124612 + 0.0129881i
\(419\) −26.5500 + 1.74018i −1.29705 + 0.0850133i −0.698233 0.715871i \(-0.746030\pi\)
−0.598819 + 0.800884i \(0.704363\pi\)
\(420\) 12.6867 + 31.5648i 0.619046 + 1.54021i
\(421\) −3.99837 + 3.50648i −0.194869 + 0.170895i −0.751220 0.660052i \(-0.770534\pi\)
0.556351 + 0.830947i \(0.312201\pi\)
\(422\) −7.32761 + 11.6359i −0.356703 + 0.566426i
\(423\) 27.9106 7.52782i 1.35706 0.366015i
\(424\) −5.51186 0.637846i −0.267680 0.0309765i
\(425\) 10.6595 + 80.9672i 0.517064 + 3.92749i
\(426\) 22.4962 0.627096i 1.08994 0.0303829i
\(427\) −4.11046 + 2.02705i −0.198919 + 0.0980960i
\(428\) 5.59559 + 1.56766i 0.270473 + 0.0757755i
\(429\) −0.864566 + 0.232422i −0.0417416 + 0.0112214i
\(430\) −9.25203 + 38.6851i −0.446172 + 1.86556i
\(431\) 20.2658 + 20.2658i 0.976172 + 0.976172i 0.999723 0.0235510i \(-0.00749721\pi\)
−0.0235510 + 0.999723i \(0.507497\pi\)
\(432\) −12.3164 16.7423i −0.592574 0.805516i
\(433\) −21.2660 + 21.2660i −1.02198 + 1.02198i −0.0222243 + 0.999753i \(0.507075\pi\)
−0.999753 + 0.0222243i \(0.992925\pi\)
\(434\) 15.7735 + 25.6900i 0.757153 + 1.23316i
\(435\) −7.98518 29.7034i −0.382860 1.42417i
\(436\) −0.162463 1.35256i −0.00778059 0.0647758i
\(437\) −8.43611 17.1067i −0.403554 0.818326i
\(438\) −13.3258 12.6030i −0.636733 0.602197i
\(439\) −2.45898 + 0.323731i −0.117361 + 0.0154508i −0.188978 0.981981i \(-0.560517\pi\)
0.0716170 + 0.997432i \(0.477184\pi\)
\(440\) 2.81805 0.229158i 0.134345 0.0109247i
\(441\) −2.83870 + 2.84804i −0.135176 + 0.135621i
\(442\) 4.53600 + 19.9658i 0.215755 + 0.949677i
\(443\) −5.81320 6.62869i −0.276194 0.314939i 0.597067 0.802191i \(-0.296332\pi\)
−0.873261 + 0.487253i \(0.837999\pi\)
\(444\) 0.0939531 8.91796i 0.00445882 0.423228i
\(445\) 2.55421 + 38.9698i 0.121081 + 1.84735i
\(446\) −6.62756 8.16987i −0.313824 0.386855i
\(447\) 3.34662 + 0.216587i 0.158290 + 0.0102442i
\(448\) −5.50018 18.2199i −0.259859 0.860808i
\(449\) −22.6788 −1.07028 −0.535140 0.844763i \(-0.679741\pi\)
−0.535140 + 0.844763i \(0.679741\pi\)
\(450\) 51.0610 1.46536i 2.40704 0.0690779i
\(451\) 1.45083 0.969415i 0.0683170 0.0456480i
\(452\) −2.45707 3.76924i −0.115571 0.177290i
\(453\) −5.47700 + 13.2534i −0.257332 + 0.622701i
\(454\) −8.94973 2.77046i −0.420032 0.130024i
\(455\) −20.7822 2.73602i −0.974282 0.128267i
\(456\) −35.5458 8.89812i −1.66458 0.416693i
\(457\) −35.8463 + 4.71925i −1.67682 + 0.220757i −0.908077 0.418803i \(-0.862450\pi\)
−0.768741 + 0.639560i \(0.779116\pi\)
\(458\) −5.25681 + 30.7525i −0.245635 + 1.43697i
\(459\) −24.8601 + 24.9830i −1.16037 + 1.16610i
\(460\) −12.6260 16.8473i −0.588690 0.785508i
\(461\) −5.67668 16.7230i −0.264389 0.778866i −0.995339 0.0964347i \(-0.969256\pi\)
0.730950 0.682431i \(-0.239077\pi\)
\(462\) −0.659151 1.24772i −0.0306665 0.0580493i
\(463\) 4.09368 + 15.2778i 0.190249 + 0.710020i 0.993446 + 0.114306i \(0.0364643\pi\)
−0.803196 + 0.595714i \(0.796869\pi\)
\(464\) 2.97287 + 16.9489i 0.138012 + 0.786833i
\(465\) 62.8234 12.5500i 2.91337 0.581994i
\(466\) 2.97111 12.4230i 0.137634 0.575483i
\(467\) −0.0287041 + 0.144305i −0.00132827 + 0.00667765i −0.981444 0.191750i \(-0.938584\pi\)
0.980115 + 0.198428i \(0.0635836\pi\)
\(468\) 12.7129 1.54823i 0.587656 0.0715668i
\(469\) 12.5103 + 8.35914i 0.577673 + 0.385989i
\(470\) 23.5067 51.1064i 1.08428 2.35736i
\(471\) −28.5983 14.0739i −1.31774 0.648492i
\(472\) −5.71818 + 0.844281i −0.263201 + 0.0388612i
\(473\) 0.215361 1.63583i 0.00990229 0.0752153i
\(474\) −18.7631 + 25.9172i −0.861819 + 1.19041i
\(475\) 67.7077 59.3780i 3.10664 2.72445i
\(476\) −29.1046 + 13.9441i −1.33400 + 0.639128i
\(477\) 5.87325 + 0.375258i 0.268918 + 0.0171819i
\(478\) 6.73763 + 15.0977i 0.308172 + 0.690554i
\(479\) 24.8359 14.3390i 1.13478 0.655166i 0.189648 0.981852i \(-0.439265\pi\)
0.945133 + 0.326686i \(0.105932\pi\)
\(480\) −40.3722 2.43720i −1.84273 0.111242i
\(481\) 4.75906 + 2.74765i 0.216995 + 0.125282i
\(482\) 2.36507 22.6912i 0.107726 1.03356i
\(483\) −5.24639 + 9.10430i −0.238719 + 0.414260i
\(484\) 21.5093 4.02509i 0.977698 0.182959i
\(485\) −5.26826 26.4854i −0.239220 1.20264i
\(486\) 13.9587 + 17.0632i 0.633180 + 0.774005i
\(487\) −26.9675 + 11.1703i −1.22201 + 0.506174i −0.898049 0.439895i \(-0.855016\pi\)
−0.323964 + 0.946069i \(0.605016\pi\)
\(488\) −0.0854885 5.44826i −0.00386988 0.246631i
\(489\) 0.845848 + 12.7446i 0.0382506 + 0.576332i
\(490\) 0.722744 + 7.79146i 0.0326503 + 0.351982i
\(491\) 10.2766 5.06784i 0.463775 0.228709i −0.195362 0.980731i \(-0.562588\pi\)
0.659137 + 0.752023i \(0.270922\pi\)
\(492\) −22.5020 + 10.8036i −1.01447 + 0.487062i
\(493\) 27.6305 9.37928i 1.24441 0.422421i
\(494\) 15.5275 16.3910i 0.698617 0.737468i
\(495\) −2.97255 + 0.396317i −0.133606 + 0.0178131i
\(496\) −35.6316 + 3.86995i −1.59990 + 0.173766i
\(497\) −21.1125 5.65707i −0.947024 0.253754i
\(498\) −0.0495732 + 1.31847i −0.00222143 + 0.0590819i
\(499\) 22.1131 25.2151i 0.989916 1.12878i −0.00175624 0.999998i \(-0.500559\pi\)
0.991673 0.128785i \(-0.0411076\pi\)
\(500\) 35.9045 45.7073i 1.60570 2.04409i
\(501\) 0.621506 0.811342i 0.0277668 0.0362481i
\(502\) 2.73701 + 7.39923i 0.122159 + 0.330244i
\(503\) 9.35943 22.5957i 0.417316 1.00749i −0.565805 0.824539i \(-0.691435\pi\)
0.983122 0.182952i \(-0.0585653\pi\)
\(504\) 6.81906 + 18.9998i 0.303745 + 0.846319i
\(505\) −25.8878 62.4986i −1.15199 2.78115i
\(506\) 0.593359 + 0.640777i 0.0263780 + 0.0284860i
\(507\) 5.58581 13.5167i 0.248074 0.600300i
\(508\) −7.34093 + 2.39929i −0.325701 + 0.106451i
\(509\) 0.559241 + 8.53237i 0.0247879 + 0.378191i 0.992172 + 0.124877i \(0.0398537\pi\)
−0.967384 + 0.253313i \(0.918480\pi\)
\(510\) 6.39083 + 68.2853i 0.282991 + 3.02373i
\(511\) 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
\(515\) 33.3250 + 16.4341i 1.46848 + 0.724172i
\(516\) −6.34866 + 22.7328i −0.279484 + 1.00076i
\(517\) −0.750055 + 2.20959i −0.0329874 + 0.0971776i
\(518\) −2.56141 + 8.27440i −0.112542 + 0.363556i
\(519\) −32.1212 6.36186i −1.40996 0.279255i
\(520\) 13.5188 20.9361i 0.592839 0.918109i
\(521\) 12.6047 30.4304i 0.552221 1.33318i −0.363587 0.931560i \(-0.618448\pi\)
0.915807 0.401618i \(-0.131552\pi\)
\(522\) −4.07273 17.7913i −0.178258 0.778702i
\(523\) 2.51679 3.76664i 0.110052 0.164704i −0.772356 0.635190i \(-0.780922\pi\)
0.882407 + 0.470487i \(0.155922\pi\)
\(524\) 5.31149 + 13.2466i 0.232034 + 0.578681i
\(525\) −47.9320 12.8011i −2.09192 0.558687i
\(526\) −17.0394 9.23253i −0.742953 0.402557i
\(527\) 15.7299 + 58.7048i 0.685206 + 2.55722i
\(528\) 1.67613 0.0730551i 0.0729440 0.00317932i
\(529\) −4.26975 + 15.9349i −0.185641 + 0.692822i
\(530\) 7.87606 8.31405i 0.342114 0.361139i
\(531\) 6.01102 1.20594i 0.260856 0.0523335i
\(532\) 30.6161 + 18.1429i 1.32738 + 0.786594i
\(533\) 1.00592 15.3474i 0.0435712 0.664768i
\(534\) 0.645735 + 23.1648i 0.0279437 + 1.00244i
\(535\) −9.51540 + 7.30142i −0.411387 + 0.315668i
\(536\) −15.3497 + 9.18620i −0.663004 + 0.396783i
\(537\) 23.6538 + 20.7095i 1.02074 + 0.893680i
\(538\) 0.630358 16.4061i 0.0271767 0.707316i
\(539\) −0.0633230 0.318346i −0.00272751 0.0137121i
\(540\) 42.8974 + 0.381411i 1.84601 + 0.0164133i
\(541\) 25.0812 + 37.5367i 1.07833 + 1.61383i 0.739738 + 0.672895i \(0.234949\pi\)
0.338588 + 0.940935i \(0.390051\pi\)
\(542\) 11.2929 + 8.18980i 0.485070 + 0.351782i
\(543\) −12.0751 + 5.96710i −0.518190 + 0.256073i
\(544\) −0.166249 38.3689i −0.00712785 1.64505i
\(545\) 2.43503 + 1.40586i 0.104305 + 0.0602206i
\(546\) −12.2622 2.08572i −0.524773 0.0892605i
\(547\) −6.17985 + 12.5315i −0.264231 + 0.535808i −0.988041 0.154191i \(-0.950723\pi\)
0.723810 + 0.690000i \(0.242389\pi\)
\(548\) 4.56440 2.18683i 0.194981 0.0934166i
\(549\) 0.387475 + 5.76646i 0.0165370 + 0.246106i
\(550\) −2.19723 + 3.48909i −0.0936902 + 0.148775i
\(551\) −25.5275 19.5880i −1.08751 0.834475i
\(552\) −7.11121 10.2714i −0.302673 0.437180i
\(553\) 24.6537 18.9175i 1.04838 0.804453i
\(554\) −38.0264 + 3.52737i −1.61559 + 0.149864i
\(555\) 14.6129 + 11.1938i 0.620283 + 0.475151i
\(556\) 7.88696 + 8.06817i 0.334482 + 0.342167i
\(557\) 0.0143665 0.0722251i 0.000608727 0.00306028i −0.980480 0.196620i \(-0.937003\pi\)
0.981088 + 0.193560i \(0.0620034\pi\)
\(558\) 37.5321 6.04113i 1.58886 0.255742i
\(559\) −10.2836 10.2836i −0.434952 0.434952i
\(560\) 36.9007 + 13.4682i 1.55934 + 0.569137i
\(561\) −0.557306 2.78978i −0.0235295 0.117785i
\(562\) 4.43505 8.18526i 0.187081 0.345274i
\(563\) 19.6489 22.4053i 0.828104 0.944271i −0.171056 0.985261i \(-0.554718\pi\)
0.999160 + 0.0409899i \(0.0130511\pi\)
\(564\) 15.0782 29.7804i 0.634905 1.25398i
\(565\) 9.26677 + 0.607376i 0.389856 + 0.0255525i
\(566\) 3.47570 20.3329i 0.146094 0.854656i
\(567\) −8.25861 19.7541i −0.346829 0.829594i
\(568\) 16.8254 19.8040i 0.705979 0.830959i
\(569\) −0.557505 + 0.726555i −0.0233718 + 0.0304588i −0.804893 0.593420i \(-0.797777\pi\)
0.781521 + 0.623879i \(0.214444\pi\)
\(570\) 58.6950 47.6946i 2.45846 1.99771i
\(571\) −14.9738 + 44.1115i −0.626635 + 1.84601i −0.101799 + 0.994805i \(0.532460\pi\)
−0.524836 + 0.851203i \(0.675873\pi\)
\(572\) −0.467720 + 0.921899i −0.0195564 + 0.0385465i
\(573\) 0.0100693 + 12.2506i 0.000420651 + 0.511776i
\(574\) 23.9410 3.81315i 0.999277 0.159158i
\(575\) 30.7035 1.28042
\(576\) −23.8851 2.34529i −0.995214 0.0977202i
\(577\) −22.4060 −0.932772 −0.466386 0.884581i \(-0.654444\pi\)
−0.466386 + 0.884581i \(0.654444\pi\)
\(578\) −40.5105 + 6.45223i −1.68502 + 0.268377i
\(579\) −36.0100 + 20.8298i −1.49652 + 0.865659i
\(580\) −31.6732 16.0692i −1.31516 0.667237i
\(581\) 0.411901 1.21342i 0.0170885 0.0503412i
\(582\) −2.53342 15.8225i −0.105014 0.655862i
\(583\) −0.289192 + 0.376883i −0.0119771 + 0.0156089i
\(584\) −21.1094 + 1.71657i −0.873513 + 0.0710324i
\(585\) −13.1789 + 22.9135i −0.544882 + 0.947357i
\(586\) −2.65636 + 15.5398i −0.109733 + 0.641942i
\(587\) 28.4636 + 1.86560i 1.17482 + 0.0770017i 0.640280 0.768142i \(-0.278818\pi\)
0.534539 + 0.845144i \(0.320485\pi\)
\(588\) 0.254854 + 4.63621i 0.0105100 + 0.191194i
\(589\) 44.1891 50.3880i 1.82078 2.07620i
\(590\) 5.68351 10.4894i 0.233986 0.431841i
\(591\) −19.3629 6.55507i −0.796483 0.269640i
\(592\) −7.58634 6.96413i −0.311797 0.286224i
\(593\) −3.71798 3.71798i −0.152679 0.152679i 0.626634 0.779313i \(-0.284432\pi\)
−0.779313 + 0.626634i \(0.784432\pi\)
\(594\) −1.77147 + 0.168730i −0.0726843 + 0.00692308i
\(595\) 12.9950 65.3301i 0.532741 2.67827i
\(596\) 2.76914 2.70695i 0.113428 0.110881i
\(597\) −2.40093 + 18.3534i −0.0982635 + 0.751156i
\(598\) 7.66482 0.710996i 0.313438 0.0290748i
\(599\) 18.8541 14.4672i 0.770356 0.591115i −0.147022 0.989133i \(-0.546969\pi\)
0.917377 + 0.398018i \(0.130302\pi\)
\(600\) 38.1536 44.9829i 1.55762 1.83642i
\(601\) 23.6439 + 18.1426i 0.964454 + 0.740052i 0.965623 0.259947i \(-0.0837052\pi\)
−0.00116836 + 0.999999i \(0.500372\pi\)
\(602\) 12.2155 19.3976i 0.497865 0.790585i
\(603\) 15.7586 10.5671i 0.641741 0.430325i
\(604\) 7.15474 + 14.9336i 0.291122 + 0.607638i
\(605\) −19.9762 + 40.5078i −0.812150 + 1.64688i
\(606\) −13.9572 37.6369i −0.566974 1.52889i
\(607\) 17.7930 + 10.2728i 0.722196 + 0.416960i 0.815560 0.578672i \(-0.196429\pi\)
−0.0933643 + 0.995632i \(0.529762\pi\)
\(608\) −35.0783 + 23.6591i −1.42261 + 0.959502i
\(609\) −1.14481 + 17.6892i −0.0463900 + 0.716802i
\(610\) 9.10434 + 6.60264i 0.368624 + 0.267333i
\(611\) 11.4268 + 17.1015i 0.462281 + 0.691852i
\(612\) 2.26714 + 40.6336i 0.0916437 + 1.64252i
\(613\) 0.482430 + 2.42534i 0.0194852 + 0.0979586i 0.989304 0.145868i \(-0.0465974\pi\)
−0.969819 + 0.243826i \(0.921597\pi\)
\(614\) 0.645262 16.7940i 0.0260407 0.677750i
\(615\) 10.0094 50.5377i 0.403618 2.03788i
\(616\) −1.58033 0.396983i −0.0636735 0.0159949i
\(617\) 4.65506 3.57195i 0.187406 0.143801i −0.510798 0.859701i \(-0.670650\pi\)
0.698203 + 0.715900i \(0.253983\pi\)
\(618\) 19.3943 + 10.4879i 0.780154 + 0.421885i
\(619\) −1.64193 + 25.0510i −0.0659948 + 1.00689i 0.828552 + 0.559912i \(0.189165\pi\)
−0.894547 + 0.446974i \(0.852502\pi\)
\(620\) 37.7129 63.6405i 1.51459 2.55586i
\(621\) 8.09239 + 10.4925i 0.324736 + 0.421051i
\(622\) −5.58384 + 5.89437i −0.223892 + 0.236343i
\(623\) 5.82522 21.7400i 0.233382 0.870995i
\(624\) 8.48301 12.1131i 0.339592 0.484911i
\(625\) 15.4682 + 57.7281i 0.618727 + 2.30912i
\(626\) −9.95142 5.39202i −0.397739 0.215508i
\(627\) −2.21650 + 2.22014i −0.0885183 + 0.0886640i
\(628\) −34.1609 + 13.6975i −1.36317 + 0.546589i
\(629\) −9.70168 + 14.5196i −0.386831 + 0.578934i
\(630\) −39.8214 12.2553i −1.58652 0.488264i
\(631\) −2.39106 + 5.77252i −0.0951864 + 0.229800i −0.964300 0.264812i \(-0.914690\pi\)
0.869114 + 0.494613i \(0.164690\pi\)
\(632\) 7.77543 + 36.1185i 0.309290 + 1.43672i
\(633\) −5.42659 15.9431i −0.215688 0.633683i
\(634\) 9.87319 31.8944i 0.392115 1.26669i
\(635\) 5.12385 15.0944i 0.203334 0.599002i
\(636\) 4.85562 4.75438i 0.192538 0.188523i
\(637\) −2.56596 1.26539i −0.101667 0.0501367i
\(638\) 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 \(0.705442\pi\)
\(642\) −5.80513 + 4.11737i −0.229110 + 0.162500i
\(643\) −1.31599 20.0781i −0.0518976 0.791804i −0.941909 0.335867i \(-0.890971\pi\)
0.890012 0.455937i \(-0.150696\pi\)
\(644\) 3.76939 + 11.5329i 0.148535 + 0.454462i
\(645\) −29.6879 38.6243i −1.16896 1.52083i
\(646\) 48.7476 + 52.6433i 1.91795 + 2.07122i
\(647\) −14.5938 35.2326i −0.573743 1.38514i −0.898346 0.439288i \(-0.855231\pi\)
0.324604 0.945850i \(-0.394769\pi\)
\(648\) 25.4284 + 1.18257i 0.998920 + 0.0464557i
\(649\) −0.189380 + 0.457203i −0.00743380 + 0.0179468i
\(650\) 12.6090 + 34.0872i 0.494565 + 1.33701i
\(651\) −36.6093 4.78909i −1.43483 0.187699i
\(652\) 11.5981 + 9.11069i 0.454218 + 0.356802i
\(653\) −17.6321 + 20.1055i −0.689996 + 0.786790i −0.985704 0.168488i \(-0.946111\pi\)
0.295707 + 0.955279i \(0.404445\pi\)
\(654\) 1.41255 + 0.887924i 0.0552352 + 0.0347206i
\(655\) −28.4531 7.62399i −1.11176 0.297894i
\(656\) −8.09022 + 27.6639i −0.315870 + 1.08009i
\(657\) 22.2668 2.96872i 0.868709 0.115821i
\(658\) −22.2956 + 23.5355i −0.869174 + 0.917509i
\(659\) −36.7257 + 12.4667i −1.43063 + 0.485633i −0.925941 0.377668i \(-0.876726\pi\)
−0.504689 + 0.863301i \(0.668393\pi\)
\(660\) −1.95404 + 2.85877i −0.0760611 + 0.111278i
\(661\) −27.9979 + 13.8070i −1.08899 + 0.537031i −0.895948 0.444159i \(-0.853502\pi\)
−0.193043 + 0.981190i \(0.561836\pi\)
\(662\) −3.90005 42.0441i −0.151580 1.63409i
\(663\) −22.4992 11.0724i −0.873798 0.430017i
\(664\) 1.09405 + 1.06025i 0.0424575 + 0.0411457i
\(665\) −67.8620 + 28.1093i −2.63157 + 1.09003i
\(666\) 8.41544 + 6.96338i 0.326092 + 0.269825i
\(667\) −2.14019 10.7595i −0.0828685 0.416608i
\(668\) −0.217074 1.16000i −0.00839885 0.0448819i
\(669\) 12.8844 0.0105902i 0.498138 0.000409443i
\(670\) 3.82754 36.7227i 0.147871 1.41872i
\(671\) −0.404012 0.233257i −0.0155967 0.00900477i
\(672\) 21.5807 + 8.80896i 0.832493 + 0.339813i
\(673\) 39.8804 23.0250i 1.53728 0.887547i 0.538280 0.842766i \(-0.319074\pi\)
0.998997 0.0447815i \(-0.0142592\pi\)
\(674\) −5.93594 13.3013i −0.228644 0.512347i
\(675\) −37.9631 + 49.7279i −1.46120 + 1.91403i
\(676\) −7.29688 15.2302i −0.280649 0.585779i
\(677\) −23.2811 + 20.4170i −0.894767 + 0.784690i −0.977291 0.211899i \(-0.932035\pi\)
0.0825244 + 0.996589i \(0.473702\pi\)
\(678\) 5.48136 + 0.566759i 0.210511 + 0.0217662i
\(679\) −2.03136 + 15.4297i −0.0779564 + 0.592137i
\(680\) 63.5772 + 47.2184i 2.43807 + 1.81074i
\(681\) 9.53529 6.38262i 0.365393 0.244583i
\(682\) −1.28227 + 2.78780i −0.0491005 + 0.106750i
\(683\) −31.7115 21.1889i −1.21341 0.810772i −0.226808 0.973939i \(-0.572829\pi\)
−0.986598 + 0.163167i \(0.947829\pi\)
\(684\) 35.8677 26.9728i 1.37143 1.03133i
\(685\) −2.03797 + 10.2456i −0.0778668 + 0.391463i
\(686\) 6.52693 27.2908i 0.249199 1.04197i
\(687\) −25.2174 28.7073i −0.962103 1.09525i
\(688\) 14.6229 + 22.9989i 0.557495 + 0.876826i
\(689\) 1.08375 + 4.04462i 0.0412877 + 0.154088i
\(690\) 25.7668 + 0.968810i 0.980927 + 0.0368820i
\(691\) 6.20309 + 18.2737i 0.235976 + 0.695164i 0.998819 + 0.0485803i \(0.0154697\pi\)
−0.762843 + 0.646584i \(0.776197\pi\)
\(692\) −30.2568 + 22.6756i −1.15019 + 0.861998i
\(693\) 1.69562 + 0.334383i 0.0644112 + 0.0127022i
\(694\) −1.11096 + 6.49917i −0.0421717 + 0.246705i
\(695\) −23.0881 + 3.03961i −0.875783 + 0.115299i
\(696\) −18.4230 10.2347i −0.698320 0.387945i
\(697\) 48.4563 + 6.37939i 1.83541 + 0.241637i
\(698\) −21.8639 6.76814i −0.827560 0.256178i
\(699\) 9.53370 + 12.4034i 0.360598 + 0.469141i
\(700\) −47.9907 + 31.2839i −1.81388 + 1.18242i
\(701\) −12.6713 + 8.46671i −0.478590 + 0.319783i −0.771360 0.636400i \(-0.780423\pi\)
0.292770 + 0.956183i \(0.405423\pi\)
\(702\) −8.32557 + 13.2932i −0.314228 + 0.501719i
\(703\) 19.2566 0.726277
\(704\) 1.23100 1.49587i 0.0463950 0.0563776i
\(705\) 30.5226 + 61.7657i 1.14955 + 2.32623i
\(706\) −31.2508 38.5233i −1.17614 1.44984i
\(707\) 2.54982 + 38.9028i 0.0958960 + 1.46309i
\(708\) 3.60401 6.09317i 0.135447 0.228995i
\(709\) 4.17316 + 4.75858i 0.156726 + 0.178712i 0.824874 0.565316i \(-0.191246\pi\)
−0.668148 + 0.744029i \(0.732913\pi\)
\(710\) 11.8826 + 52.3028i 0.445945 + 1.96289i
\(711\) −10.2046 37.8351i −0.382702 1.41893i
\(712\) 20.3927 + 17.3255i 0.764248 + 0.649301i
\(713\) 22.6540 2.98246i 0.848400 0.111694i
\(714\) 9.16215 38.4490i 0.342885 1.43892i
\(715\) −0.943696 1.91363i −0.0352922 0.0715656i
\(716\) 36.0431 4.32934i 1.34699 0.161795i
\(717\) −19.5629 5.22464i −0.730592 0.195118i
\(718\) −5.90063 9.61025i −0.220209 0.358651i
\(719\) −6.95749 + 6.95749i −0.259471 + 0.259471i −0.824839 0.565368i \(-0.808734\pi\)
0.565368 + 0.824839i \(0.308734\pi\)
\(720\) 33.4385 36.5465i 1.24618 1.36201i
\(721\) −15.1419 15.1419i −0.563915 0.563915i
\(722\) 12.1531 50.8151i 0.452290 1.89114i
\(723\) 19.7739 + 19.7414i 0.735398 + 0.734190i
\(724\) −4.19566 + 14.9760i −0.155931 + 0.556579i
\(725\) 46.4541 22.9086i 1.72526 0.850805i
\(726\) −12.7484 + 23.5745i −0.473138 + 0.874932i
\(727\) −1.73795 13.2011i −0.0644571 0.489600i −0.992976 0.118315i \(-0.962251\pi\)
0.928519 0.371285i \(-0.121083\pi\)
\(728\) −11.2560 + 8.92103i −0.417174 + 0.330636i
\(729\) −26.9997 + 0.133155i −0.999988 + 0.00493165i
\(730\) 23.2940 36.9897i 0.862150 1.36905i
\(731\) 34.7460 30.4714i 1.28513 1.12703i
\(732\) 5.25139 + 4.11815i 0.194097 + 0.152211i
\(733\) 15.3053 1.00316i 0.565315 0.0370527i 0.219933 0.975515i \(-0.429416\pi\)
0.345382 + 0.938462i \(0.387749\pi\)
\(734\) 14.8113 + 1.54375i 0.546694 + 0.0569809i
\(735\) −7.97278 5.31777i −0.294080 0.196149i
\(736\) −14.3101 1.82092i −0.527477 0.0671199i
\(737\) 1.53153i 0.0564148i
\(738\) 7.06200 29.7441i 0.259956 1.09490i
\(739\) 19.6746 + 29.4451i 0.723740 + 1.08315i 0.992771 + 0.120022i \(0.0382966\pi\)
−0.269031 + 0.963132i \(0.586703\pi\)
\(740\) 20.8926 3.90967i 0.768026 0.143722i
\(741\) 3.63190 + 27.4129i 0.133421 + 1.00704i
\(742\) −5.83834 + 3.07816i −0.214332 + 0.113003i
\(743\) 0.0617474 0.469018i 0.00226529 0.0172066i −0.990275 0.139125i \(-0.955571\pi\)
0.992540 + 0.121918i \(0.0389045\pi\)
\(744\) 23.7815 36.8960i 0.871871 1.35267i
\(745\) 1.04325 + 7.92426i 0.0382217 + 0.290322i
\(746\) 4.65600 3.29659i 0.170468 0.120697i
\(747\) −1.21667 1.06346i −0.0445155 0.0389098i
\(748\) −2.82607 1.67471i −0.103331 0.0612334i
\(749\) 6.54539 2.22186i 0.239163 0.0811850i
\(750\) 15.8278 + 69.4040i 0.577948 + 2.53428i
\(751\) −4.64710 + 1.24519i −0.169575 + 0.0454375i −0.342608 0.939479i \(-0.611310\pi\)
0.173033 + 0.984916i \(0.444643\pi\)
\(752\) −13.9375 35.9357i −0.508250 1.31044i
\(753\) −9.15205 3.09832i −0.333519 0.112909i
\(754\) 11.0663 6.79464i 0.403011 0.247446i
\(755\) −33.5209 6.66772i −1.21995 0.242663i
\(756\) −23.3396 8.15486i −0.848853 0.296589i
\(757\) 11.7932 17.6498i 0.428631 0.641492i −0.552798 0.833315i \(-0.686440\pi\)
0.981430 + 0.191823i \(0.0614399\pi\)
\(758\) 1.57473 + 4.25712i 0.0571967 + 0.154626i
\(759\) −1.06723 + 0.0708312i −0.0387381 + 0.00257101i
\(760\) 4.34375 87.2217i 0.157564 3.16386i
\(761\) 7.57406 + 0.997144i 0.274559 + 0.0361464i 0.266549 0.963821i \(-0.414117\pi\)
0.00801080 + 0.999968i \(0.497450\pi\)
\(762\) 3.37481 8.83626i 0.122257 0.320104i
\(763\) −1.06842 1.21830i −0.0386796 0.0441056i
\(764\) 10.5287 + 9.44713i 0.380916 + 0.341785i
\(765\) −69.9181 46.5517i −2.52789 1.68308i
\(766\) −13.8408 5.29921i −0.500087 0.191468i
\(767\) 2.18101 + 3.77762i 0.0787517 + 0.136402i
\(768\) −20.4502 + 18.7026i −0.737934 + 0.674873i
\(769\) 2.88096 4.98997i 0.103890 0.179943i −0.809394 0.587266i \(-0.800204\pi\)
0.913284 + 0.407323i \(0.133538\pi\)
\(770\) 2.61181 2.11875i 0.0941229 0.0763544i
\(771\) −6.77380 + 3.91828i −0.243952 + 0.141113i
\(772\) −9.90582 + 47.0036i −0.356518 + 1.69170i
\(773\)