Properties

Label 819.2.fy.a.50.10
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.10
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.603210 - 2.25121i) q^{2} +(0.907564 + 1.47524i) q^{3} +(-2.97204 + 1.71591i) q^{4} +(-1.06637 - 3.97976i) q^{5} +(2.77362 - 2.93300i) q^{6} +(0.707107 - 0.707107i) q^{7} +(2.35963 + 2.35963i) q^{8} +(-1.35266 + 2.67775i) q^{9} +O(q^{10})\) \(q+(-0.603210 - 2.25121i) q^{2} +(0.907564 + 1.47524i) q^{3} +(-2.97204 + 1.71591i) q^{4} +(-1.06637 - 3.97976i) q^{5} +(2.77362 - 2.93300i) q^{6} +(0.707107 - 0.707107i) q^{7} +(2.35963 + 2.35963i) q^{8} +(-1.35266 + 2.67775i) q^{9} +(-8.31604 + 4.80127i) q^{10} +(-5.49728 + 1.47299i) q^{11} +(-5.22869 - 2.82717i) q^{12} +(-0.976138 + 3.47090i) q^{13} +(-2.01838 - 1.16531i) q^{14} +(4.90329 - 5.18504i) q^{15} +(0.456865 - 0.791313i) q^{16} +(0.220817 - 0.382467i) q^{17} +(6.84411 + 1.42987i) q^{18} +(0.775062 - 0.207677i) q^{19} +(9.99821 + 9.99821i) q^{20} +(1.68490 + 0.401407i) q^{21} +(6.63203 + 11.4870i) q^{22} +1.27503 q^{23} +(-1.33950 + 5.62254i) q^{24} +(-10.3712 + 5.98782i) q^{25} +(8.40255 + 0.103809i) q^{26} +(-5.17793 + 0.434735i) q^{27} +(-0.888219 + 3.31488i) q^{28} +(-4.93302 - 2.84808i) q^{29} +(-14.6303 - 7.91068i) q^{30} +(8.22040 - 2.20265i) q^{31} +(4.38964 + 1.17620i) q^{32} +(-7.16215 - 6.77297i) q^{33} +(-0.994213 - 0.266399i) q^{34} +(-3.56816 - 2.06008i) q^{35} +(-0.574617 - 10.2794i) q^{36} +(-10.4305 - 2.79484i) q^{37} +(-0.935051 - 1.61956i) q^{38} +(-6.00631 + 1.71003i) q^{39} +(6.87453 - 11.9070i) q^{40} +(0.839742 - 0.839742i) q^{41} +(-0.112695 - 4.03519i) q^{42} +10.5095i q^{43} +(13.8106 - 13.8106i) q^{44} +(12.0992 + 2.52777i) q^{45} +(-0.769114 - 2.87037i) q^{46} +(-0.0352210 + 0.131446i) q^{47} +(1.58201 - 0.0441826i) q^{48} -1.00000i q^{49} +(19.7359 + 19.7359i) q^{50} +(0.764635 - 0.0213548i) q^{51} +(-3.05463 - 11.9906i) q^{52} -0.940462i q^{53} +(4.10206 + 11.3944i) q^{54} +(11.7243 + 20.3071i) q^{55} +3.33703 q^{56} +(1.00979 + 0.954921i) q^{57} +(-3.43599 + 12.8233i) q^{58} +(-1.70873 + 6.37705i) q^{59} +(-5.67573 + 23.8238i) q^{60} -1.23929 q^{61} +(-9.91726 - 17.1772i) q^{62} +(0.936980 + 2.84992i) q^{63} -12.4190i q^{64} +(14.8543 + 0.183517i) q^{65} +(-10.9271 + 20.2090i) q^{66} +(-3.59577 - 3.59577i) q^{67} +1.51561i q^{68} +(1.15717 + 1.88098i) q^{69} +(-2.48532 + 9.27533i) q^{70} +(0.243859 + 0.910095i) q^{71} +(-9.51028 + 3.12673i) q^{72} +(1.75591 - 1.75591i) q^{73} +25.1671i q^{74} +(-18.2460 - 9.86568i) q^{75} +(-1.94716 + 1.94716i) q^{76} +(-2.84560 + 4.92873i) q^{77} +(7.47271 + 12.4900i) q^{78} +(-0.384719 - 0.666354i) q^{79} +(-3.63643 - 0.974377i) q^{80} +(-5.34064 - 7.24414i) q^{81} +(-2.39698 - 1.38390i) q^{82} +(-15.6094 - 4.18253i) q^{83} +(-5.69635 + 1.69813i) q^{84} +(-1.75760 - 0.470948i) q^{85} +(23.6592 - 6.33946i) q^{86} +(-0.275433 - 9.86220i) q^{87} +(-16.4473 - 9.49585i) q^{88} +(-3.34593 + 12.4872i) q^{89} +(-1.60783 - 28.7627i) q^{90} +(1.76406 + 3.14453i) q^{91} +(-3.78945 + 2.18784i) q^{92} +(10.7100 + 10.1280i) q^{93} +0.317159 q^{94} +(-1.65301 - 2.86310i) q^{95} +(2.24870 + 7.54325i) q^{96} +(-10.3209 - 10.3209i) q^{97} +(-2.25121 + 0.603210i) q^{98} +(3.49163 - 16.7128i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.603210 2.25121i −0.426534 1.59185i −0.760550 0.649279i \(-0.775071\pi\)
0.334016 0.942567i \(-0.391596\pi\)
\(3\) 0.907564 + 1.47524i 0.523982 + 0.851729i
\(4\) −2.97204 + 1.71591i −1.48602 + 0.857954i
\(5\) −1.06637 3.97976i −0.476897 1.77980i −0.614065 0.789255i \(-0.710467\pi\)
0.137168 0.990548i \(-0.456200\pi\)
\(6\) 2.77362 2.93300i 1.13233 1.19739i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) 2.35963 + 2.35963i 0.834257 + 0.834257i
\(9\) −1.35266 + 2.67775i −0.450885 + 0.892582i
\(10\) −8.31604 + 4.80127i −2.62976 + 1.51829i
\(11\) −5.49728 + 1.47299i −1.65749 + 0.444124i −0.961697 0.274115i \(-0.911615\pi\)
−0.695796 + 0.718239i \(0.744948\pi\)
\(12\) −5.22869 2.82717i −1.50939 0.816134i
\(13\) −0.976138 + 3.47090i −0.270732 + 0.962655i
\(14\) −2.01838 1.16531i −0.539435 0.311443i
\(15\) 4.90329 5.18504i 1.26602 1.33877i
\(16\) 0.456865 0.791313i 0.114216 0.197828i
\(17\) 0.220817 0.382467i 0.0535561 0.0927618i −0.838004 0.545663i \(-0.816278\pi\)
0.891561 + 0.452902i \(0.149611\pi\)
\(18\) 6.84411 + 1.42987i 1.61317 + 0.337024i
\(19\) 0.775062 0.207677i 0.177812 0.0476445i −0.168815 0.985648i \(-0.553994\pi\)
0.346626 + 0.938003i \(0.387327\pi\)
\(20\) 9.99821 + 9.99821i 2.23567 + 2.23567i
\(21\) 1.68490 + 0.401407i 0.367674 + 0.0875941i
\(22\) 6.63203 + 11.4870i 1.41395 + 2.44904i
\(23\) 1.27503 0.265863 0.132931 0.991125i \(-0.457561\pi\)
0.132931 + 0.991125i \(0.457561\pi\)
\(24\) −1.33950 + 5.62254i −0.273425 + 1.14770i
\(25\) −10.3712 + 5.98782i −2.07424 + 1.19756i
\(26\) 8.40255 + 0.103809i 1.64788 + 0.0203586i
\(27\) −5.17793 + 0.434735i −0.996494 + 0.0836647i
\(28\) −0.888219 + 3.31488i −0.167858 + 0.626453i
\(29\) −4.93302 2.84808i −0.916040 0.528876i −0.0336702 0.999433i \(-0.510720\pi\)
−0.882369 + 0.470557i \(0.844053\pi\)
\(30\) −14.6303 7.91068i −2.67112 1.44429i
\(31\) 8.22040 2.20265i 1.47643 0.395608i 0.571298 0.820743i \(-0.306440\pi\)
0.905130 + 0.425135i \(0.139773\pi\)
\(32\) 4.38964 + 1.17620i 0.775987 + 0.207925i
\(33\) −7.16215 6.77297i −1.24677 1.17902i
\(34\) −0.994213 0.266399i −0.170506 0.0456870i
\(35\) −3.56816 2.06008i −0.603128 0.348216i
\(36\) −0.574617 10.2794i −0.0957695 1.71323i
\(37\) −10.4305 2.79484i −1.71476 0.459468i −0.738175 0.674609i \(-0.764312\pi\)
−0.976583 + 0.215141i \(0.930979\pi\)
\(38\) −0.935051 1.61956i −0.151685 0.262727i
\(39\) −6.00631 + 1.71003i −0.961780 + 0.273824i
\(40\) 6.87453 11.9070i 1.08696 1.88267i
\(41\) 0.839742 0.839742i 0.131146 0.131146i −0.638487 0.769633i \(-0.720439\pi\)
0.769633 + 0.638487i \(0.220439\pi\)
\(42\) −0.112695 4.03519i −0.0173893 0.622643i
\(43\) 10.5095i 1.60269i 0.598204 + 0.801344i \(0.295881\pi\)
−0.598204 + 0.801344i \(0.704119\pi\)
\(44\) 13.8106 13.8106i 2.08203 2.08203i
\(45\) 12.0992 + 2.52777i 1.80365 + 0.376818i
\(46\) −0.769114 2.87037i −0.113400 0.423213i
\(47\) −0.0352210 + 0.131446i −0.00513751 + 0.0191734i −0.968447 0.249220i \(-0.919826\pi\)
0.963309 + 0.268393i \(0.0864926\pi\)
\(48\) 1.58201 0.0441826i 0.228343 0.00637720i
\(49\) 1.00000i 0.142857i
\(50\) 19.7359 + 19.7359i 2.79108 + 2.79108i
\(51\) 0.764635 0.0213548i 0.107070 0.00299028i
\(52\) −3.05463 11.9906i −0.423601 1.66280i
\(53\) 0.940462i 0.129182i −0.997912 0.0645912i \(-0.979426\pi\)
0.997912 0.0645912i \(-0.0205743\pi\)
\(54\) 4.10206 + 11.3944i 0.558220 + 1.55058i
\(55\) 11.7243 + 20.3071i 1.58091 + 2.73821i
\(56\) 3.33703 0.445929
\(57\) 1.00979 + 0.954921i 0.133750 + 0.126482i
\(58\) −3.43599 + 12.8233i −0.451167 + 1.68378i
\(59\) −1.70873 + 6.37705i −0.222457 + 0.830222i 0.760950 + 0.648810i \(0.224733\pi\)
−0.983407 + 0.181411i \(0.941933\pi\)
\(60\) −5.67573 + 23.8238i −0.732733 + 3.07563i
\(61\) −1.23929 −0.158675 −0.0793377 0.996848i \(-0.525281\pi\)
−0.0793377 + 0.996848i \(0.525281\pi\)
\(62\) −9.91726 17.1772i −1.25949 2.18151i
\(63\) 0.936980 + 2.84992i 0.118048 + 0.359057i
\(64\) 12.4190i 1.55237i
\(65\) 14.8543 + 0.183517i 1.84245 + 0.0227625i
\(66\) −10.9271 + 20.2090i −1.34503 + 2.48756i
\(67\) −3.59577 3.59577i −0.439294 0.439294i 0.452481 0.891774i \(-0.350539\pi\)
−0.891774 + 0.452481i \(0.850539\pi\)
\(68\) 1.51561i 0.183795i
\(69\) 1.15717 + 1.88098i 0.139307 + 0.226443i
\(70\) −2.48532 + 9.27533i −0.297052 + 1.10861i
\(71\) 0.243859 + 0.910095i 0.0289408 + 0.108008i 0.978885 0.204410i \(-0.0655276\pi\)
−0.949945 + 0.312418i \(0.898861\pi\)
\(72\) −9.51028 + 3.12673i −1.12080 + 0.368488i
\(73\) 1.75591 1.75591i 0.205513 0.205513i −0.596844 0.802357i \(-0.703579\pi\)
0.802357 + 0.596844i \(0.203579\pi\)
\(74\) 25.1671i 2.92561i
\(75\) −18.2460 9.86568i −2.10687 1.13919i
\(76\) −1.94716 + 1.94716i −0.223355 + 0.223355i
\(77\) −2.84560 + 4.92873i −0.324287 + 0.561681i
\(78\) 7.47271 + 12.4900i 0.846117 + 1.41421i
\(79\) −0.384719 0.666354i −0.0432843 0.0749706i 0.843572 0.537017i \(-0.180449\pi\)
−0.886856 + 0.462046i \(0.847115\pi\)
\(80\) −3.63643 0.974377i −0.406565 0.108939i
\(81\) −5.34064 7.24414i −0.593405 0.804904i
\(82\) −2.39698 1.38390i −0.264702 0.152826i
\(83\) −15.6094 4.18253i −1.71335 0.459092i −0.737112 0.675771i \(-0.763811\pi\)
−0.976243 + 0.216679i \(0.930478\pi\)
\(84\) −5.69635 + 1.69813i −0.621523 + 0.185281i
\(85\) −1.75760 0.470948i −0.190638 0.0510814i
\(86\) 23.6592 6.33946i 2.55123 0.683601i
\(87\) −0.275433 9.86220i −0.0295295 1.05734i
\(88\) −16.4473 9.49585i −1.75329 1.01226i
\(89\) −3.34593 + 12.4872i −0.354668 + 1.32364i 0.526234 + 0.850340i \(0.323604\pi\)
−0.880902 + 0.473299i \(0.843063\pi\)
\(90\) −1.60783 28.7627i −0.169480 3.03185i
\(91\) 1.76406 + 3.14453i 0.184924 + 0.329636i
\(92\) −3.78945 + 2.18784i −0.395078 + 0.228098i
\(93\) 10.7100 + 10.1280i 1.11057 + 1.05023i
\(94\) 0.317159 0.0327125
\(95\) −1.65301 2.86310i −0.169595 0.293748i
\(96\) 2.24870 + 7.54325i 0.229507 + 0.769879i
\(97\) −10.3209 10.3209i −1.04793 1.04793i −0.998792 0.0491389i \(-0.984352\pi\)
−0.0491389 0.998792i \(-0.515648\pi\)
\(98\) −2.25121 + 0.603210i −0.227407 + 0.0609334i
\(99\) 3.49163 16.7128i 0.350922 1.67970i
\(100\) 20.5491 35.5921i 2.05491 3.55921i
\(101\) −5.55951 + 9.62935i −0.553191 + 0.958156i 0.444850 + 0.895605i \(0.353257\pi\)
−0.998042 + 0.0625508i \(0.980076\pi\)
\(102\) −0.509310 1.70847i −0.0504292 0.169164i
\(103\) −2.12493 1.22683i −0.209375 0.120883i 0.391646 0.920116i \(-0.371906\pi\)
−0.601021 + 0.799233i \(0.705239\pi\)
\(104\) −10.4934 + 5.88673i −1.02896 + 0.577241i
\(105\) −0.199226 7.13353i −0.0194425 0.696161i
\(106\) −2.11718 + 0.567296i −0.205639 + 0.0551007i
\(107\) 10.3064 5.95039i 0.996355 0.575246i 0.0891875 0.996015i \(-0.471573\pi\)
0.907168 + 0.420769i \(0.138240\pi\)
\(108\) 14.6431 10.1769i 1.40903 0.979273i
\(109\) 2.08628 + 2.08628i 0.199829 + 0.199829i 0.799927 0.600098i \(-0.204872\pi\)
−0.600098 + 0.799927i \(0.704872\pi\)
\(110\) 38.6434 38.6434i 3.68450 3.68450i
\(111\) −5.34327 17.9239i −0.507160 1.70126i
\(112\) −0.236491 0.882595i −0.0223463 0.0833974i
\(113\) 0.650144 0.375361i 0.0611604 0.0353110i −0.469108 0.883141i \(-0.655425\pi\)
0.530268 + 0.847830i \(0.322091\pi\)
\(114\) 1.54061 2.84927i 0.144292 0.266859i
\(115\) −1.35966 5.07433i −0.126789 0.473184i
\(116\) 19.5482 1.81500
\(117\) −7.97381 7.30878i −0.737179 0.675697i
\(118\) 15.3868 1.41647
\(119\) −0.114303 0.426586i −0.0104782 0.0391051i
\(120\) 23.8048 0.664823i 2.17307 0.0606898i
\(121\) 18.5241 10.6949i 1.68401 0.972265i
\(122\) 0.747555 + 2.78991i 0.0676805 + 0.252587i
\(123\) 2.00094 + 0.476700i 0.180419 + 0.0429826i
\(124\) −20.6518 + 20.6518i −1.85459 + 1.85459i
\(125\) 20.3228 + 20.3228i 1.81772 + 1.81772i
\(126\) 5.85059 3.82844i 0.521212 0.341065i
\(127\) −3.05512 + 1.76388i −0.271098 + 0.156519i −0.629387 0.777092i \(-0.716694\pi\)
0.358288 + 0.933611i \(0.383360\pi\)
\(128\) −19.1784 + 5.13885i −1.69515 + 0.454214i
\(129\) −15.5041 + 9.53807i −1.36506 + 0.839780i
\(130\) −8.54712 33.5508i −0.749632 2.94260i
\(131\) −12.3177 7.11165i −1.07621 0.621347i −0.146335 0.989235i \(-0.546748\pi\)
−0.929870 + 0.367888i \(0.880081\pi\)
\(132\) 32.9080 + 7.83994i 2.86427 + 0.682379i
\(133\) 0.401202 0.694902i 0.0347886 0.0602556i
\(134\) −5.92584 + 10.2639i −0.511915 + 0.886662i
\(135\) 7.25175 + 20.1434i 0.624131 + 1.73366i
\(136\) 1.42353 0.381434i 0.122067 0.0327077i
\(137\) −10.6770 10.6770i −0.912194 0.912194i 0.0842509 0.996445i \(-0.473150\pi\)
−0.996445 + 0.0842509i \(0.973150\pi\)
\(138\) 3.53646 3.73967i 0.301044 0.318342i
\(139\) −10.8144 18.7310i −0.917263 1.58875i −0.803554 0.595232i \(-0.797060\pi\)
−0.113709 0.993514i \(-0.536273\pi\)
\(140\) 14.1396 1.19501
\(141\) −0.225880 + 0.0673367i −0.0190225 + 0.00567077i
\(142\) 1.90172 1.09796i 0.159589 0.0921386i
\(143\) 0.253494 20.5184i 0.0211982 1.71583i
\(144\) 1.50095 + 2.29374i 0.125080 + 0.191145i
\(145\) −6.07424 + 22.6694i −0.504438 + 1.88259i
\(146\) −5.01210 2.89374i −0.414804 0.239487i
\(147\) 1.47524 0.907564i 0.121676 0.0748546i
\(148\) 35.7955 9.59136i 2.94237 0.788405i
\(149\) −8.57108 2.29662i −0.702171 0.188146i −0.109968 0.993935i \(-0.535075\pi\)
−0.592203 + 0.805789i \(0.701741\pi\)
\(150\) −11.2036 + 47.0267i −0.914767 + 3.83971i
\(151\) 18.9915 + 5.08876i 1.54551 + 0.414117i 0.928040 0.372480i \(-0.121493\pi\)
0.617466 + 0.786597i \(0.288159\pi\)
\(152\) 2.31891 + 1.33882i 0.188088 + 0.108593i
\(153\) 0.725459 + 1.10864i 0.0586499 + 0.0896281i
\(154\) 12.8121 + 3.43299i 1.03243 + 0.276639i
\(155\) −17.5320 30.3664i −1.40821 2.43909i
\(156\) 14.9168 15.3886i 1.19430 1.23207i
\(157\) −0.938535 + 1.62559i −0.0749033 + 0.129736i −0.901044 0.433727i \(-0.857198\pi\)
0.826141 + 0.563464i \(0.190531\pi\)
\(158\) −1.26804 + 1.26804i −0.100880 + 0.100880i
\(159\) 1.38741 0.853529i 0.110028 0.0676893i
\(160\) 18.7240i 1.48026i
\(161\) 0.901585 0.901585i 0.0710549 0.0710549i
\(162\) −13.0866 + 16.3927i −1.02818 + 1.28793i
\(163\) −3.99324 14.9030i −0.312775 1.16729i −0.926043 0.377418i \(-0.876812\pi\)
0.613268 0.789875i \(-0.289855\pi\)
\(164\) −1.05483 + 3.93667i −0.0823681 + 0.307402i
\(165\) −19.3173 + 35.7262i −1.50385 + 2.78128i
\(166\) 37.6630i 2.92322i
\(167\) 4.74480 + 4.74480i 0.367164 + 0.367164i 0.866442 0.499278i \(-0.166401\pi\)
−0.499278 + 0.866442i \(0.666401\pi\)
\(168\) 3.02857 + 4.92291i 0.233659 + 0.379811i
\(169\) −11.0943 6.77616i −0.853408 0.521243i
\(170\) 4.24081i 0.325255i
\(171\) −0.492286 + 2.35634i −0.0376460 + 0.180194i
\(172\) −18.0334 31.2347i −1.37503 2.38163i
\(173\) 4.24515 0.322753 0.161377 0.986893i \(-0.448407\pi\)
0.161377 + 0.986893i \(0.448407\pi\)
\(174\) −22.0358 + 6.56904i −1.67053 + 0.497998i
\(175\) −3.09953 + 11.5676i −0.234302 + 0.874427i
\(176\) −1.34592 + 5.02303i −0.101452 + 0.378625i
\(177\) −10.9585 + 3.26680i −0.823688 + 0.245548i
\(178\) 30.1296 2.25831
\(179\) 4.22394 + 7.31609i 0.315712 + 0.546830i 0.979589 0.201012i \(-0.0644232\pi\)
−0.663876 + 0.747842i \(0.731090\pi\)
\(180\) −40.2968 + 13.2485i −3.00355 + 0.987486i
\(181\) 11.5795i 0.860695i −0.902663 0.430347i \(-0.858391\pi\)
0.902663 0.430347i \(-0.141609\pi\)
\(182\) 6.01490 5.86810i 0.445854 0.434972i
\(183\) −1.12474 1.82825i −0.0831431 0.135148i
\(184\) 3.00861 + 3.00861i 0.221798 + 0.221798i
\(185\) 44.4911i 3.27105i
\(186\) 16.3399 30.2197i 1.19810 2.21582i
\(187\) −0.650524 + 2.42779i −0.0475711 + 0.177538i
\(188\) −0.120872 0.451100i −0.00881549 0.0328999i
\(189\) −3.35395 + 3.96876i −0.243964 + 0.288685i
\(190\) −5.44833 + 5.44833i −0.395264 + 0.395264i
\(191\) 10.4113i 0.753332i −0.926349 0.376666i \(-0.877070\pi\)
0.926349 0.376666i \(-0.122930\pi\)
\(192\) 18.3209 11.2710i 1.32220 0.813415i
\(193\) 4.66494 4.66494i 0.335789 0.335789i −0.518991 0.854780i \(-0.673692\pi\)
0.854780 + 0.518991i \(0.173692\pi\)
\(194\) −17.0089 + 29.4603i −1.22117 + 2.11512i
\(195\) 13.2105 + 22.0802i 0.946022 + 1.58119i
\(196\) 1.71591 + 2.97204i 0.122565 + 0.212289i
\(197\) −1.90867 0.511426i −0.135987 0.0364376i 0.190184 0.981749i \(-0.439092\pi\)
−0.326170 + 0.945311i \(0.605758\pi\)
\(198\) −39.7302 + 2.22091i −2.82350 + 0.157833i
\(199\) −10.0886 5.82465i −0.715162 0.412899i 0.0978077 0.995205i \(-0.468817\pi\)
−0.812969 + 0.582307i \(0.802150\pi\)
\(200\) −38.6014 10.3432i −2.72953 0.731375i
\(201\) 2.04123 8.56802i 0.143977 0.604341i
\(202\) 25.0312 + 6.70710i 1.76119 + 0.471910i
\(203\) −5.50207 + 1.47428i −0.386170 + 0.103474i
\(204\) −2.23588 + 1.37551i −0.156543 + 0.0963051i
\(205\) −4.23745 2.44649i −0.295956 0.170870i
\(206\) −1.48007 + 5.52370i −0.103121 + 0.384854i
\(207\) −1.72468 + 3.41422i −0.119874 + 0.237304i
\(208\) 2.30061 + 2.35816i 0.159518 + 0.163509i
\(209\) −3.95483 + 2.28332i −0.273561 + 0.157941i
\(210\) −15.9389 + 4.75152i −1.09989 + 0.327886i
\(211\) 7.79294 0.536488 0.268244 0.963351i \(-0.413557\pi\)
0.268244 + 0.963351i \(0.413557\pi\)
\(212\) 1.61375 + 2.79509i 0.110833 + 0.191968i
\(213\) −1.12129 + 1.18572i −0.0768295 + 0.0812442i
\(214\) −19.6125 19.6125i −1.34068 1.34068i
\(215\) 41.8254 11.2071i 2.85247 0.764317i
\(216\) −13.2438 11.1922i −0.901130 0.761534i
\(217\) 4.25519 7.37021i 0.288861 0.500323i
\(218\) 3.43819 5.95512i 0.232864 0.403332i
\(219\) 4.18398 + 0.996784i 0.282727 + 0.0673564i
\(220\) −69.6903 40.2357i −4.69852 2.71269i
\(221\) 1.11196 + 1.13978i 0.0747983 + 0.0766696i
\(222\) −37.1274 + 22.8407i −2.49183 + 1.53297i
\(223\) −7.34330 + 1.96763i −0.491744 + 0.131762i −0.496166 0.868228i \(-0.665259\pi\)
0.00442197 + 0.999990i \(0.498592\pi\)
\(224\) 3.93565 2.27225i 0.262961 0.151821i
\(225\) −2.00518 35.8709i −0.133679 2.39140i
\(226\) −1.23719 1.23719i −0.0822966 0.0822966i
\(227\) −3.42011 + 3.42011i −0.227000 + 0.227000i −0.811438 0.584438i \(-0.801315\pi\)
0.584438 + 0.811438i \(0.301315\pi\)
\(228\) −4.63970 1.10535i −0.307272 0.0732039i
\(229\) 4.83242 + 18.0348i 0.319335 + 1.19177i 0.919885 + 0.392188i \(0.128282\pi\)
−0.600550 + 0.799587i \(0.705052\pi\)
\(230\) −10.6032 + 6.12178i −0.699156 + 0.403658i
\(231\) −9.85362 + 0.275193i −0.648320 + 0.0181064i
\(232\) −4.91970 18.3606i −0.322994 1.20543i
\(233\) −3.15485 −0.206681 −0.103341 0.994646i \(-0.532953\pi\)
−0.103341 + 0.994646i \(0.532953\pi\)
\(234\) −11.6437 + 22.3595i −0.761175 + 1.46168i
\(235\) 0.560684 0.0365750
\(236\) −5.86404 21.8849i −0.381716 1.42458i
\(237\) 0.633873 1.17231i 0.0411745 0.0761498i
\(238\) −0.891387 + 0.514642i −0.0577800 + 0.0333593i
\(239\) 0.171064 + 0.638421i 0.0110652 + 0.0412960i 0.971238 0.238112i \(-0.0765285\pi\)
−0.960172 + 0.279408i \(0.909862\pi\)
\(240\) −1.86285 6.24890i −0.120246 0.403365i
\(241\) 1.67347 1.67347i 0.107798 0.107798i −0.651151 0.758948i \(-0.725713\pi\)
0.758948 + 0.651151i \(0.225713\pi\)
\(242\) −35.2505 35.2505i −2.26598 2.26598i
\(243\) 5.83986 14.4532i 0.374627 0.927176i
\(244\) 3.68323 2.12652i 0.235795 0.136136i
\(245\) −3.97976 + 1.06637i −0.254258 + 0.0681281i
\(246\) −0.133834 4.79209i −0.00853294 0.305532i
\(247\) −0.0357401 + 2.89289i −0.00227409 + 0.184070i
\(248\) 24.5946 + 14.1997i 1.56176 + 0.901682i
\(249\) −7.99631 26.8235i −0.506745 1.69987i
\(250\) 33.4919 58.0097i 2.11822 3.66886i
\(251\) −6.05835 + 10.4934i −0.382399 + 0.662335i −0.991405 0.130831i \(-0.958235\pi\)
0.609005 + 0.793166i \(0.291569\pi\)
\(252\) −7.67495 6.86232i −0.483476 0.432285i
\(253\) −7.00922 + 1.87812i −0.440666 + 0.118076i
\(254\) 5.81374 + 5.81374i 0.364786 + 0.364786i
\(255\) −0.900374 3.02029i −0.0563836 0.189138i
\(256\) 10.7183 + 18.5646i 0.669894 + 1.16029i
\(257\) 4.93683 0.307951 0.153975 0.988075i \(-0.450792\pi\)
0.153975 + 0.988075i \(0.450792\pi\)
\(258\) 30.8244 + 29.1495i 1.91904 + 1.81477i
\(259\) −9.35170 + 5.39921i −0.581087 + 0.335490i
\(260\) −44.4624 + 24.9432i −2.75744 + 1.54691i
\(261\) 14.2991 9.35691i 0.885094 0.579178i
\(262\) −8.57964 + 32.0196i −0.530052 + 1.97818i
\(263\) 3.67269 + 2.12043i 0.226468 + 0.130751i 0.608942 0.793215i \(-0.291594\pi\)
−0.382474 + 0.923966i \(0.624928\pi\)
\(264\) −0.918327 32.8818i −0.0565191 2.02373i
\(265\) −3.74281 + 1.00288i −0.229919 + 0.0616067i
\(266\) −1.80638 0.484018i −0.110756 0.0296771i
\(267\) −21.4582 + 6.39687i −1.31322 + 0.391482i
\(268\) 16.8568 + 4.51677i 1.02969 + 0.275905i
\(269\) 6.51830 + 3.76334i 0.397428 + 0.229455i 0.685374 0.728192i \(-0.259639\pi\)
−0.287946 + 0.957647i \(0.592972\pi\)
\(270\) 40.9726 28.4759i 2.49351 1.73299i
\(271\) −10.9903 2.94484i −0.667613 0.178886i −0.0909336 0.995857i \(-0.528985\pi\)
−0.576679 + 0.816971i \(0.695652\pi\)
\(272\) −0.201767 0.349471i −0.0122339 0.0211898i
\(273\) −3.03793 + 5.45628i −0.183864 + 0.330229i
\(274\) −17.5956 + 30.4765i −1.06299 + 1.84115i
\(275\) 48.1935 48.1935i 2.90618 2.90618i
\(276\) −6.66676 3.60474i −0.401292 0.216980i
\(277\) 10.0786i 0.605566i 0.953059 + 0.302783i \(0.0979158\pi\)
−0.953059 + 0.302783i \(0.902084\pi\)
\(278\) −35.6442 + 35.6442i −2.13780 + 2.13780i
\(279\) −5.22124 + 24.9916i −0.312588 + 1.49621i
\(280\) −3.55852 13.2806i −0.212662 0.793666i
\(281\) 3.28568 12.2623i 0.196007 0.731509i −0.795997 0.605301i \(-0.793053\pi\)
0.992004 0.126208i \(-0.0402806\pi\)
\(282\) 0.287842 + 0.467886i 0.0171408 + 0.0278622i
\(283\) 0.966309i 0.0574411i 0.999587 + 0.0287205i \(0.00914329\pi\)
−0.999587 + 0.0287205i \(0.990857\pi\)
\(284\) −2.28640 2.28640i −0.135673 0.135673i
\(285\) 2.72354 5.03703i 0.161329 0.298368i
\(286\) −46.3441 + 11.8062i −2.74038 + 0.698117i
\(287\) 1.18757i 0.0701003i
\(288\) −9.08725 + 10.1634i −0.535471 + 0.598881i
\(289\) 8.40248 + 14.5535i 0.494263 + 0.856089i
\(290\) 54.6976 3.21195
\(291\) 5.85893 24.5927i 0.343456 1.44165i
\(292\) −2.20565 + 8.23160i −0.129076 + 0.481718i
\(293\) −0.513514 + 1.91646i −0.0299998 + 0.111961i −0.979302 0.202404i \(-0.935125\pi\)
0.949302 + 0.314364i \(0.101791\pi\)
\(294\) −2.93300 2.77362i −0.171056 0.161761i
\(295\) 27.2013 1.58372
\(296\) −18.0173 31.2069i −1.04723 1.81386i
\(297\) 27.8242 10.0169i 1.61452 0.581240i
\(298\) 20.6807i 1.19800i
\(299\) −1.24461 + 4.42552i −0.0719776 + 0.255934i
\(300\) 71.1565 1.98727i 4.10822 0.114735i
\(301\) 7.43136 + 7.43136i 0.428336 + 0.428336i
\(302\) 45.8235i 2.63684i
\(303\) −19.2512 + 0.537650i −1.10595 + 0.0308872i
\(304\) 0.189761 0.708198i 0.0108835 0.0406179i
\(305\) 1.32155 + 4.93210i 0.0756718 + 0.282411i
\(306\) 2.05818 2.30190i 0.117658 0.131591i
\(307\) 4.75768 4.75768i 0.271535 0.271535i −0.558183 0.829718i \(-0.688501\pi\)
0.829718 + 0.558183i \(0.188501\pi\)
\(308\) 19.5312i 1.11289i
\(309\) −0.118644 4.24820i −0.00674944 0.241672i
\(310\) −57.7857 + 57.7857i −3.28200 + 3.28200i
\(311\) 16.3934 28.3942i 0.929583 1.61009i 0.145564 0.989349i \(-0.453500\pi\)
0.784019 0.620736i \(-0.213166\pi\)
\(312\) −18.2077 10.1377i −1.03081 0.573932i
\(313\) 12.3302 + 21.3565i 0.696942 + 1.20714i 0.969522 + 0.245006i \(0.0787899\pi\)
−0.272579 + 0.962133i \(0.587877\pi\)
\(314\) 4.22568 + 1.13227i 0.238469 + 0.0638976i
\(315\) 10.3428 6.76804i 0.582753 0.381336i
\(316\) 2.28680 + 1.32029i 0.128643 + 0.0742719i
\(317\) 20.8539 + 5.58778i 1.17127 + 0.313841i 0.791459 0.611223i \(-0.209322\pi\)
0.379812 + 0.925064i \(0.375989\pi\)
\(318\) −2.75837 2.60849i −0.154682 0.146277i
\(319\) 31.3134 + 8.39041i 1.75322 + 0.469773i
\(320\) −49.4245 + 13.2433i −2.76292 + 0.740321i
\(321\) 18.1319 + 9.80401i 1.01203 + 0.547206i
\(322\) −2.57350 1.48581i −0.143416 0.0828011i
\(323\) 0.0917175 0.342294i 0.00510330 0.0190458i
\(324\) 28.3029 + 12.3658i 1.57238 + 0.686990i
\(325\) −10.6594 41.8424i −0.591278 2.32100i
\(326\) −31.1410 + 17.9793i −1.72474 + 0.995780i
\(327\) −1.18433 + 4.97119i −0.0654935 + 0.274908i
\(328\) 3.96297 0.218818
\(329\) 0.0680417 + 0.117852i 0.00375126 + 0.00649737i
\(330\) 92.0795 + 21.9369i 5.06881 + 1.20758i
\(331\) −14.3033 14.3033i −0.786181 0.786181i 0.194685 0.980866i \(-0.437632\pi\)
−0.980866 + 0.194685i \(0.937632\pi\)
\(332\) 53.5686 14.3537i 2.93996 0.787760i
\(333\) 21.5927 24.1497i 1.18327 1.32339i
\(334\) 7.81944 13.5437i 0.427861 0.741076i
\(335\) −10.4759 + 18.1448i −0.572358 + 0.991354i
\(336\) 1.08741 1.14989i 0.0593230 0.0627317i
\(337\) 13.9310 + 8.04304i 0.758867 + 0.438132i 0.828889 0.559413i \(-0.188973\pi\)
−0.0700215 + 0.997545i \(0.522307\pi\)
\(338\) −8.56236 + 29.0631i −0.465731 + 1.58082i
\(339\) 1.14379 + 0.618453i 0.0621223 + 0.0335898i
\(340\) 6.03176 1.61621i 0.327118 0.0876510i
\(341\) −41.9454 + 24.2172i −2.27147 + 1.31143i
\(342\) 5.60156 0.313127i 0.302898 0.0169319i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) −24.7986 + 24.7986i −1.33705 + 1.33705i
\(345\) 6.25186 6.61110i 0.336589 0.355930i
\(346\) −2.56072 9.55674i −0.137665 0.513774i
\(347\) −19.0733 + 11.0120i −1.02391 + 0.591154i −0.915234 0.402923i \(-0.867994\pi\)
−0.108675 + 0.994077i \(0.534661\pi\)
\(348\) 17.7412 + 28.8382i 0.951030 + 1.54589i
\(349\) 0.209191 + 0.780712i 0.0111977 + 0.0417906i 0.971299 0.237863i \(-0.0764470\pi\)
−0.960101 + 0.279654i \(0.909780\pi\)
\(350\) 27.9108 1.49189
\(351\) 3.54546 18.3965i 0.189242 0.981930i
\(352\) −25.8636 −1.37854
\(353\) −3.35479 12.5202i −0.178557 0.666385i −0.995918 0.0902589i \(-0.971231\pi\)
0.817361 0.576126i \(-0.195436\pi\)
\(354\) 13.9645 + 22.6992i 0.742206 + 1.20645i
\(355\) 3.36192 1.94100i 0.178432 0.103018i
\(356\) −11.4826 42.8537i −0.608578 2.27124i
\(357\) 0.525579 0.555779i 0.0278166 0.0294149i
\(358\) 13.9221 13.9221i 0.735808 0.735808i
\(359\) −25.4927 25.4927i −1.34545 1.34545i −0.890530 0.454925i \(-0.849666\pi\)
−0.454925 0.890530i \(-0.650334\pi\)
\(360\) 22.5851 + 34.5144i 1.19034 + 1.81907i
\(361\) −15.8969 + 9.17807i −0.836678 + 0.483057i
\(362\) −26.0678 + 6.98485i −1.37009 + 0.367116i
\(363\) 32.5894 + 17.6212i 1.71050 + 0.924873i
\(364\) −10.6386 6.31870i −0.557614 0.331190i
\(365\) −8.86054 5.11564i −0.463782 0.267765i
\(366\) −3.43733 + 3.63485i −0.179672 + 0.189997i
\(367\) 5.36860 9.29869i 0.280239 0.485388i −0.691205 0.722659i \(-0.742920\pi\)
0.971443 + 0.237271i \(0.0762530\pi\)
\(368\) 0.582518 1.00895i 0.0303659 0.0525952i
\(369\) 1.11273 + 3.38450i 0.0579266 + 0.176190i
\(370\) 100.159 26.8375i 5.20701 1.39521i
\(371\) −0.665007 0.665007i −0.0345255 0.0345255i
\(372\) −49.2092 11.7235i −2.55138 0.607836i
\(373\) 7.66188 + 13.2708i 0.396717 + 0.687134i 0.993319 0.115404i \(-0.0368161\pi\)
−0.596602 + 0.802537i \(0.703483\pi\)
\(374\) 5.85787 0.302903
\(375\) −11.5367 + 48.4251i −0.595753 + 2.50066i
\(376\) −0.393274 + 0.227057i −0.0202816 + 0.0117096i
\(377\) 14.7007 14.3419i 0.757126 0.738646i
\(378\) 10.9576 + 5.15645i 0.563601 + 0.265219i
\(379\) 2.58775 9.65760i 0.132924 0.496077i −0.867074 0.498179i \(-0.834002\pi\)
0.999998 + 0.00210148i \(0.000668924\pi\)
\(380\) 9.82564 + 5.67283i 0.504045 + 0.291010i
\(381\) −5.37485 2.90620i −0.275362 0.148889i
\(382\) −23.4379 + 6.28017i −1.19919 + 0.321322i
\(383\) −30.6057 8.20078i −1.56388 0.419040i −0.629990 0.776603i \(-0.716941\pi\)
−0.933889 + 0.357563i \(0.883608\pi\)
\(384\) −24.9867 23.6289i −1.27510 1.20581i
\(385\) 22.6496 + 6.06895i 1.15433 + 0.309302i
\(386\) −13.3157 7.68782i −0.677751 0.391300i
\(387\) −28.1418 14.2158i −1.43053 0.722629i
\(388\) 48.3839 + 12.9644i 2.45632 + 0.658170i
\(389\) −3.79214 6.56817i −0.192269 0.333020i 0.753733 0.657181i \(-0.228251\pi\)
−0.946002 + 0.324161i \(0.894918\pi\)
\(390\) 41.7384 43.0586i 2.11351 2.18036i
\(391\) 0.281550 0.487658i 0.0142386 0.0246619i
\(392\) 2.35963 2.35963i 0.119180 0.119180i
\(393\) −0.687754 24.6259i −0.0346926 1.24221i
\(394\) 4.60531i 0.232012i
\(395\) −2.24167 + 2.24167i −0.112791 + 0.112791i
\(396\) 18.3003 + 55.6624i 0.919625 + 2.79714i
\(397\) 6.10366 + 22.7792i 0.306334 + 1.14325i 0.931791 + 0.362995i \(0.118246\pi\)
−0.625457 + 0.780259i \(0.715087\pi\)
\(398\) −7.02698 + 26.2251i −0.352231 + 1.31454i
\(399\) 1.38926 0.0387995i 0.0695501 0.00194240i
\(400\) 10.9425i 0.547125i
\(401\) 13.5726 + 13.5726i 0.677786 + 0.677786i 0.959499 0.281713i \(-0.0909026\pi\)
−0.281713 + 0.959499i \(0.590903\pi\)
\(402\) −20.5197 + 0.573077i −1.02343 + 0.0285825i
\(403\) −0.379064 + 30.6823i −0.0188825 + 1.52839i
\(404\) 38.1584i 1.89845i
\(405\) −23.1348 + 28.9794i −1.14958 + 1.44000i
\(406\) 6.63782 + 11.4970i 0.329429 + 0.570588i
\(407\) 61.4560 3.04626
\(408\) 1.85465 + 1.75387i 0.0918189 + 0.0868295i
\(409\) −2.06105 + 7.69195i −0.101912 + 0.380342i −0.997977 0.0635822i \(-0.979748\pi\)
0.896064 + 0.443925i \(0.146414\pi\)
\(410\) −2.95150 + 11.0151i −0.145764 + 0.543999i
\(411\) 6.06104 25.4411i 0.298969 1.25492i
\(412\) 8.42049 0.414848
\(413\) 3.30101 + 5.71751i 0.162432 + 0.281340i
\(414\) 8.72647 + 1.82313i 0.428883 + 0.0896022i
\(415\) 66.5818i 3.26837i
\(416\) −8.36737 + 14.0879i −0.410244 + 0.690715i
\(417\) 17.8180 32.9534i 0.872552 1.61373i
\(418\) 7.52584 + 7.52584i 0.368101 + 0.368101i
\(419\) 26.4603i 1.29267i 0.763054 + 0.646335i \(0.223699\pi\)
−0.763054 + 0.646335i \(0.776301\pi\)
\(420\) 12.8326 + 20.8593i 0.626166 + 1.01783i
\(421\) −3.62287 + 13.5207i −0.176568 + 0.658960i 0.819711 + 0.572777i \(0.194134\pi\)
−0.996279 + 0.0861836i \(0.972533\pi\)
\(422\) −4.70078 17.5436i −0.228830 0.854007i
\(423\) −0.304338 0.272115i −0.0147974 0.0132307i
\(424\) 2.21915 2.21915i 0.107771 0.107771i
\(425\) 5.28886i 0.256547i
\(426\) 3.34568 + 1.80902i 0.162099 + 0.0876474i
\(427\) −0.876314 + 0.876314i −0.0424078 + 0.0424078i
\(428\) −20.4207 + 35.3696i −0.987069 + 1.70965i
\(429\) 30.4995 18.2478i 1.47253 0.881010i
\(430\) −50.4590 87.3976i −2.43335 4.21469i
\(431\) −11.0801 2.96891i −0.533710 0.143007i −0.0181092 0.999836i \(-0.505765\pi\)
−0.515601 + 0.856829i \(0.672431\pi\)
\(432\) −2.02161 + 4.29598i −0.0972645 + 0.206691i
\(433\) 3.01778 + 1.74232i 0.145025 + 0.0837304i 0.570757 0.821119i \(-0.306650\pi\)
−0.425732 + 0.904850i \(0.639983\pi\)
\(434\) −19.1587 5.13355i −0.919646 0.246418i
\(435\) −38.9555 + 11.6130i −1.86777 + 0.556798i
\(436\) −9.78037 2.62064i −0.468395 0.125506i
\(437\) 0.988231 0.264796i 0.0472735 0.0126669i
\(438\) −0.279848 10.0203i −0.0133717 0.478788i
\(439\) 21.3236 + 12.3112i 1.01772 + 0.587580i 0.913442 0.406969i \(-0.133414\pi\)
0.104276 + 0.994548i \(0.466748\pi\)
\(440\) −20.2523 + 75.5825i −0.965489 + 3.60325i
\(441\) 2.67775 + 1.35266i 0.127512 + 0.0644122i
\(442\) 1.89513 3.19077i 0.0901422 0.151770i
\(443\) 18.9262 10.9270i 0.899209 0.519159i 0.0222656 0.999752i \(-0.492912\pi\)
0.876944 + 0.480593i \(0.159579\pi\)
\(444\) 46.6362 + 44.1020i 2.21326 + 2.09299i
\(445\) 53.2640 2.52496
\(446\) 8.85911 + 15.3444i 0.419491 + 0.726579i
\(447\) −4.39075 14.7287i −0.207675 0.696644i
\(448\) −8.78154 8.78154i −0.414889 0.414889i
\(449\) 17.7503 4.75617i 0.837686 0.224457i 0.185622 0.982621i \(-0.440570\pi\)
0.652064 + 0.758164i \(0.273903\pi\)
\(450\) −79.5435 + 26.1518i −3.74972 + 1.23281i
\(451\) −3.37936 + 5.85323i −0.159128 + 0.275618i
\(452\) −1.28817 + 2.23117i −0.0605904 + 0.104946i
\(453\) 9.72887 + 32.6354i 0.457102 + 1.53334i
\(454\) 9.76243 + 5.63634i 0.458173 + 0.264527i
\(455\) 10.6333 10.3738i 0.498498 0.486331i
\(456\) 0.129475 + 4.63601i 0.00606322 + 0.217101i
\(457\) 4.51621 1.21012i 0.211259 0.0566068i −0.151637 0.988436i \(-0.548455\pi\)
0.362897 + 0.931829i \(0.381788\pi\)
\(458\) 37.6852 21.7576i 1.76092 1.01666i
\(459\) −0.977106 + 2.07638i −0.0456074 + 0.0969173i
\(460\) 12.7481 + 12.7481i 0.594381 + 0.594381i
\(461\) −3.30628 + 3.30628i −0.153989 + 0.153989i −0.779897 0.625908i \(-0.784729\pi\)
0.625908 + 0.779897i \(0.284729\pi\)
\(462\) 6.56332 + 22.0166i 0.305353 + 1.02430i
\(463\) −4.24115 15.8282i −0.197103 0.735598i −0.991712 0.128477i \(-0.958991\pi\)
0.794610 0.607121i \(-0.207676\pi\)
\(464\) −4.50745 + 2.60238i −0.209253 + 0.120812i
\(465\) 28.8862 53.4234i 1.33957 2.47745i
\(466\) 1.90304 + 7.10225i 0.0881567 + 0.329005i
\(467\) 20.3524 0.941795 0.470898 0.882188i \(-0.343930\pi\)
0.470898 + 0.882188i \(0.343930\pi\)
\(468\) 36.2397 + 8.03967i 1.67518 + 0.371634i
\(469\) −5.08519 −0.234812
\(470\) −0.338210 1.26222i −0.0156005 0.0582218i
\(471\) −3.24991 + 0.0907640i −0.149748 + 0.00418218i
\(472\) −19.0795 + 11.0155i −0.878205 + 0.507032i
\(473\) −15.4805 57.7738i −0.711792 2.65644i
\(474\) −3.02148 0.719832i −0.138781 0.0330630i
\(475\) −6.79480 + 6.79480i −0.311767 + 0.311767i
\(476\) 1.07170 + 1.07170i 0.0491212 + 0.0491212i
\(477\) 2.51832 + 1.27212i 0.115306 + 0.0582465i
\(478\) 1.33403 0.770205i 0.0610173 0.0352283i
\(479\) −27.5260 + 7.37557i −1.25769 + 0.336998i −0.825304 0.564688i \(-0.808996\pi\)
−0.432390 + 0.901686i \(0.642330\pi\)
\(480\) 27.6224 16.9932i 1.26078 0.775631i
\(481\) 19.8822 33.4750i 0.906549 1.52633i
\(482\) −4.77679 2.75788i −0.217577 0.125618i
\(483\) 2.14830 + 0.511807i 0.0977510 + 0.0232880i
\(484\) −36.7030 + 63.5714i −1.66832 + 2.88961i
\(485\) −30.0688 + 52.0808i −1.36536 + 2.36487i
\(486\) −36.0600 4.42841i −1.63571 0.200877i
\(487\) 14.1496 3.79137i 0.641180 0.171804i 0.0764420 0.997074i \(-0.475644\pi\)
0.564738 + 0.825270i \(0.308977\pi\)
\(488\) −2.92428 2.92428i −0.132376 0.132376i
\(489\) 18.3613 19.4164i 0.830329 0.878040i
\(490\) 4.80127 + 8.31604i 0.216899 + 0.375680i
\(491\) −11.8275 −0.533769 −0.266885 0.963728i \(-0.585994\pi\)
−0.266885 + 0.963728i \(0.585994\pi\)
\(492\) −6.76484 + 2.01665i −0.304983 + 0.0909178i
\(493\) −2.17859 + 1.25781i −0.0981190 + 0.0566490i
\(494\) 6.53406 1.66456i 0.293981 0.0748921i
\(495\) −70.2362 + 3.92620i −3.15688 + 0.176469i
\(496\) 2.01263 7.51123i 0.0903696 0.337264i
\(497\) 0.815969 + 0.471100i 0.0366012 + 0.0211317i
\(498\) −55.5619 + 34.1816i −2.48979 + 1.53171i
\(499\) −18.2263 + 4.88372i −0.815920 + 0.218625i −0.642562 0.766234i \(-0.722128\pi\)
−0.173358 + 0.984859i \(0.555462\pi\)
\(500\) −95.2721 25.5281i −4.26070 1.14165i
\(501\) −2.69350 + 11.3059i −0.120337 + 0.505111i
\(502\) 27.2772 + 7.30891i 1.21744 + 0.326213i
\(503\) −20.7493 11.9796i −0.925167 0.534146i −0.0398874 0.999204i \(-0.512700\pi\)
−0.885280 + 0.465059i \(0.846033\pi\)
\(504\) −4.51385 + 8.93571i −0.201063 + 0.398028i
\(505\) 44.2510 + 11.8570i 1.96914 + 0.527630i
\(506\) 8.45607 + 14.6463i 0.375918 + 0.651109i
\(507\) −0.0723497 22.5165i −0.00321316 0.999995i
\(508\) 6.05330 10.4846i 0.268572 0.465180i
\(509\) 6.21291 6.21291i 0.275382 0.275382i −0.555880 0.831263i \(-0.687619\pi\)
0.831263 + 0.555880i \(0.187619\pi\)
\(510\) −6.25621 + 3.84881i −0.277029 + 0.170428i
\(511\) 2.48323i 0.109852i
\(512\) 7.24835 7.24835i 0.320335 0.320335i
\(513\) −3.92294 + 1.41229i −0.173202 + 0.0623540i
\(514\) −2.97795 11.1138i −0.131352 0.490211i
\(515\) −2.61651 + 9.76496i −0.115297 + 0.430296i
\(516\) 29.7122 54.9511i 1.30801 2.41909i
\(517\) 0.774479i 0.0340615i
\(518\) 17.7958 + 17.7958i 0.781903 + 0.781903i
\(519\) 3.85275 + 6.26261i 0.169117 + 0.274898i
\(520\) 34.6177 + 35.4837i 1.51808 + 1.55606i
\(521\) 19.3301i 0.846866i 0.905928 + 0.423433i \(0.139175\pi\)
−0.905928 + 0.423433i \(0.860825\pi\)
\(522\) −29.6898 26.5462i −1.29949 1.16189i
\(523\) −3.99744 6.92376i −0.174796 0.302755i 0.765295 0.643680i \(-0.222593\pi\)
−0.940091 + 0.340925i \(0.889260\pi\)
\(524\) 48.8117 2.13235
\(525\) −19.8780 + 5.92578i −0.867546 + 0.258622i
\(526\) 2.55813 9.54708i 0.111540 0.416272i
\(527\) 0.972767 3.63041i 0.0423744 0.158143i
\(528\) −8.63167 + 2.57317i −0.375645 + 0.111983i
\(529\) −21.3743 −0.929317
\(530\) 4.51541 + 7.82092i 0.196137 + 0.339719i
\(531\) −14.7648 13.2015i −0.640738 0.572896i
\(532\) 2.75370i 0.119388i
\(533\) 2.09496 + 3.73436i 0.0907427 + 0.161753i
\(534\) 27.3445 + 44.4483i 1.18331 + 1.92347i
\(535\) −34.6716 34.6716i −1.49898 1.49898i
\(536\) 16.9694i 0.732968i
\(537\) −6.95947 + 12.8711i −0.300323 + 0.555431i
\(538\) 4.54017 16.9442i 0.195741 0.730515i
\(539\) 1.47299 + 5.49728i 0.0634463 + 0.236785i
\(540\) −56.1166 47.4235i −2.41488 2.04078i
\(541\) 15.1679 15.1679i 0.652120 0.652120i −0.301383 0.953503i \(-0.597448\pi\)
0.953503 + 0.301383i \(0.0974483\pi\)
\(542\) 26.5178i 1.13904i
\(543\) 17.0825 10.5091i 0.733079 0.450989i
\(544\) 1.41917 1.41917i 0.0608463 0.0608463i
\(545\) 6.07814 10.5276i 0.260359 0.450955i
\(546\) 14.1157 + 3.54775i 0.604098 + 0.151830i
\(547\) 18.5739 + 32.1710i 0.794164 + 1.37553i 0.923369 + 0.383915i \(0.125424\pi\)
−0.129204 + 0.991618i \(0.541242\pi\)
\(548\) 50.0530 + 13.4117i 2.13816 + 0.572918i
\(549\) 1.67634 3.31852i 0.0715444 0.141631i
\(550\) −137.565 79.4229i −5.86577 3.38660i
\(551\) −4.41488 1.18296i −0.188080 0.0503960i
\(552\) −1.70791 + 7.16893i −0.0726936 + 0.305130i
\(553\) −0.743221 0.199145i −0.0316050 0.00846852i
\(554\) 22.6891 6.07954i 0.963969 0.258295i
\(555\) −65.6350 + 40.3785i −2.78605 + 1.71397i
\(556\) 64.2815 + 37.1129i 2.72614 + 1.57394i
\(557\) 4.33615 16.1827i 0.183729 0.685685i −0.811170 0.584810i \(-0.801169\pi\)
0.994899 0.100875i \(-0.0321642\pi\)
\(558\) 59.4108 3.32106i 2.51506 0.140592i
\(559\) −36.4775 10.2587i −1.54284 0.433899i
\(560\) −3.26033 + 1.88235i −0.137774 + 0.0795439i
\(561\) −4.17196 + 1.24370i −0.176140 + 0.0525089i
\(562\) −29.5870 −1.24805
\(563\) −2.29911 3.98217i −0.0968958 0.167829i 0.813502 0.581562i \(-0.197558\pi\)
−0.910398 + 0.413733i \(0.864225\pi\)
\(564\) 0.555781 0.587717i 0.0234026 0.0247473i
\(565\) −2.18714 2.18714i −0.0920137 0.0920137i
\(566\) 2.17537 0.582887i 0.0914374 0.0245006i
\(567\) −8.89878 1.34597i −0.373714 0.0565256i
\(568\) −1.57207 + 2.72291i −0.0659628 + 0.114251i
\(569\) 5.16598 8.94775i 0.216569 0.375109i −0.737188 0.675688i \(-0.763847\pi\)
0.953757 + 0.300579i \(0.0971799\pi\)
\(570\) −12.9823 3.09288i −0.543769 0.129546i
\(571\) 15.8686 + 9.16172i 0.664079 + 0.383406i 0.793829 0.608141i \(-0.208084\pi\)
−0.129751 + 0.991547i \(0.541418\pi\)
\(572\) 34.4542 + 61.4164i 1.44060 + 2.56795i
\(573\) 15.3591 9.44887i 0.641635 0.394732i
\(574\) −2.67348 + 0.716357i −0.111589 + 0.0299002i
\(575\) −13.2237 + 7.63468i −0.551464 + 0.318388i
\(576\) 33.2548 + 16.7986i 1.38562 + 0.699942i
\(577\) 9.36838 + 9.36838i 0.390011 + 0.390011i 0.874691 0.484680i \(-0.161064\pi\)
−0.484680 + 0.874691i \(0.661064\pi\)
\(578\) 27.6946 27.6946i 1.15194 1.15194i
\(579\) 11.1156 + 2.64817i 0.461949 + 0.110054i
\(580\) −20.8457 77.7971i −0.865570 3.23035i
\(581\) −13.9950 + 8.08002i −0.580611 + 0.335216i
\(582\) −58.8976 + 1.64490i −2.44138 + 0.0681832i
\(583\) 1.38529 + 5.16999i 0.0573730 + 0.214119i
\(584\) 8.28660 0.342902
\(585\) −20.5842 + 39.5278i −0.851050 + 1.63427i
\(586\) 4.62412 0.191021
\(587\) 5.19551 + 19.3899i 0.214442 + 0.800307i 0.986362 + 0.164588i \(0.0526295\pi\)
−0.771921 + 0.635719i \(0.780704\pi\)
\(588\) −2.82717 + 5.22869i −0.116591 + 0.215627i
\(589\) 5.91389 3.41438i 0.243677 0.140687i
\(590\) −16.4081 61.2359i −0.675511 2.52104i
\(591\) −0.977762 3.27989i −0.0402198 0.134917i
\(592\) −6.97691 + 6.97691i −0.286749 + 0.286749i
\(593\) −15.0908 15.0908i −0.619705 0.619705i 0.325751 0.945456i \(-0.394383\pi\)
−0.945456 + 0.325751i \(0.894383\pi\)
\(594\) −39.3340 56.5959i −1.61390 2.32216i
\(595\) −1.57582 + 0.909801i −0.0646024 + 0.0372982i
\(596\) 29.4144 7.88156i 1.20486 0.322841i
\(597\) −0.563291 20.1693i −0.0230540 0.825476i
\(598\) 10.7135 + 0.132360i 0.438109 + 0.00541261i
\(599\) −12.8357 7.41070i −0.524453 0.302793i 0.214302 0.976767i \(-0.431252\pi\)
−0.738755 + 0.673975i \(0.764586\pi\)
\(600\) −19.7745 66.3333i −0.807291 2.70805i
\(601\) −22.4155 + 38.8247i −0.914346 + 1.58369i −0.106491 + 0.994314i \(0.533961\pi\)
−0.807856 + 0.589381i \(0.799372\pi\)
\(602\) 12.2469 21.2122i 0.499146 0.864546i
\(603\) 14.4924 4.76472i 0.590177 0.194034i
\(604\) −65.1753 + 17.4637i −2.65195 + 0.710587i
\(605\) −62.3168 62.3168i −2.53354 2.53354i
\(606\) 12.8229 + 43.0142i 0.520894 + 1.74733i
\(607\) −10.3579 17.9404i −0.420414 0.728178i 0.575566 0.817755i \(-0.304782\pi\)
−0.995980 + 0.0895775i \(0.971448\pi\)
\(608\) 3.64652 0.147886
\(609\) −7.16839 6.77887i −0.290478 0.274694i
\(610\) 10.3060 5.95018i 0.417278 0.240916i
\(611\) −0.421857 0.250558i −0.0170665 0.0101365i
\(612\) −4.05841 2.05010i −0.164052 0.0828703i
\(613\) 9.55935 35.6760i 0.386099 1.44094i −0.450329 0.892863i \(-0.648693\pi\)
0.836428 0.548077i \(-0.184640\pi\)
\(614\) −13.5804 7.84067i −0.548062 0.316424i
\(615\) −0.236596 8.47160i −0.00954047 0.341608i
\(616\) −18.3446 + 4.91542i −0.739124 + 0.198048i
\(617\) 36.8185 + 9.86549i 1.48226 + 0.397170i 0.907115 0.420883i \(-0.138280\pi\)
0.575143 + 0.818053i \(0.304947\pi\)
\(618\) −9.49203 + 2.82965i −0.381825 + 0.113825i
\(619\) −10.5337 2.82249i −0.423384 0.113446i 0.0408347 0.999166i \(-0.486998\pi\)
−0.464219 + 0.885720i \(0.653665\pi\)
\(620\) 104.212 + 60.1667i 4.18525 + 2.41635i
\(621\) −6.60204 + 0.554301i −0.264931 + 0.0222433i
\(622\) −73.8099 19.7773i −2.95951 0.792998i
\(623\) 6.46384 + 11.1957i 0.258968 + 0.448547i
\(624\) −1.39091 + 5.53413i −0.0556808 + 0.221542i
\(625\) 29.2690 50.6953i 1.17076 2.02781i
\(626\) 40.6403 40.6403i 1.62431 1.62431i
\(627\) −6.95770 3.76206i −0.277864 0.150242i
\(628\) 6.44176i 0.257054i
\(629\) −3.37216 + 3.37216i −0.134457 + 0.134457i
\(630\) −21.4752 19.2014i −0.855592 0.765001i
\(631\) 9.25315 + 34.5332i 0.368362 + 1.37475i 0.862806 + 0.505536i \(0.168705\pi\)
−0.494444 + 0.869210i \(0.664628\pi\)
\(632\) 0.664554 2.48015i 0.0264345 0.0986550i
\(633\) 7.07259 + 11.4964i 0.281110 + 0.456943i
\(634\) 50.3171i 1.99835i
\(635\) 10.2777 + 10.2777i 0.407858 + 0.407858i
\(636\) −2.65885 + 4.91738i −0.105430 + 0.194987i
\(637\) 3.47090 + 0.976138i 0.137522 + 0.0386760i
\(638\) 75.5543i 2.99123i
\(639\) −2.76686 0.578053i −0.109455 0.0228674i
\(640\) 40.9028 + 70.8457i 1.61682 + 2.80042i
\(641\) −40.4464 −1.59754 −0.798768 0.601640i \(-0.794514\pi\)
−0.798768 + 0.601640i \(0.794514\pi\)
\(642\) 11.1335 46.7327i 0.439405 1.84439i
\(643\) 3.51112 13.1037i 0.138465 0.516759i −0.861495 0.507767i \(-0.830471\pi\)
0.999960 0.00899177i \(-0.00286221\pi\)
\(644\) −1.13251 + 4.22658i −0.0446271 + 0.166551i
\(645\) 54.4923 + 51.5313i 2.14563 + 2.02904i
\(646\) −0.825902 −0.0324947
\(647\) 20.7717 + 35.9776i 0.816619 + 1.41443i 0.908160 + 0.418624i \(0.137488\pi\)
−0.0915406 + 0.995801i \(0.529179\pi\)
\(648\) 4.49155 29.6955i 0.176445 1.16655i
\(649\) 37.5734i 1.47489i
\(650\) −87.7662 + 49.2364i −3.44248 + 1.93121i
\(651\) 14.7347 0.411512i 0.577498 0.0161284i
\(652\) 37.4402 + 37.4402i 1.46627 + 1.46627i
\(653\) 30.4012i 1.18969i 0.803840 + 0.594845i \(0.202787\pi\)
−0.803840 + 0.594845i \(0.797213\pi\)
\(654\) 11.9056 0.332501i 0.465546 0.0130018i
\(655\) −15.1673 + 56.6053i −0.592637 + 2.21175i
\(656\) −0.280850 1.04815i −0.0109654 0.0409233i
\(657\) 2.32673 + 7.07701i 0.0907745 + 0.276100i
\(658\) 0.224266 0.224266i 0.00874278 0.00874278i
\(659\) 20.1964i 0.786740i 0.919380 + 0.393370i \(0.128691\pi\)
−0.919380 + 0.393370i \(0.871309\pi\)
\(660\) −3.89112 139.326i −0.151462 5.42326i
\(661\) −15.7685 + 15.7685i −0.613324 + 0.613324i −0.943811 0.330487i \(-0.892787\pi\)
0.330487 + 0.943811i \(0.392787\pi\)
\(662\) −23.5719 + 40.8277i −0.916147 + 1.58681i
\(663\) −0.672269 + 2.67482i −0.0261088 + 0.103881i
\(664\) −26.9633 46.7017i −1.04638 1.81238i
\(665\) −3.19337 0.855662i −0.123834 0.0331812i
\(666\) −67.3910 34.0424i −2.61135 1.31912i
\(667\) −6.28977 3.63140i −0.243541 0.140608i
\(668\) −22.2434 5.96010i −0.860622 0.230603i
\(669\) −9.56724 9.04736i −0.369891 0.349791i
\(670\) 47.1668 + 12.6383i 1.82221 + 0.488261i
\(671\) 6.81275 1.82547i 0.263003 0.0704715i
\(672\) 6.92395 + 3.74381i 0.267097 + 0.144421i
\(673\) −16.5017 9.52725i −0.636093 0.367249i 0.147015 0.989134i \(-0.453033\pi\)
−0.783108 + 0.621886i \(0.786367\pi\)
\(674\) 9.70329 36.2132i 0.373757 1.39488i
\(675\) 51.0984 35.5133i 1.96678 1.36691i
\(676\) 44.6000 + 1.10219i 1.71538 + 0.0423918i
\(677\) 25.2436 14.5744i 0.970190 0.560140i 0.0708959 0.997484i \(-0.477414\pi\)
0.899294 + 0.437344i \(0.144081\pi\)
\(678\) 0.702321 2.94798i 0.0269725 0.113216i
\(679\) −14.5960 −0.560143
\(680\) −3.03603 5.25856i −0.116426 0.201657i
\(681\) −8.14944 1.94151i −0.312287 0.0743987i
\(682\) 79.8199 + 79.8199i 3.05646 + 3.05646i
\(683\) 35.1281 9.41255i 1.34414 0.360161i 0.486171 0.873863i \(-0.338393\pi\)
0.857968 + 0.513702i \(0.171726\pi\)
\(684\) −2.58016 7.84784i −0.0986550 0.300070i
\(685\) −31.1061 + 53.8773i −1.18850 + 2.05855i
\(686\) −1.16531 + 2.01838i −0.0444919 + 0.0770621i
\(687\) −22.2199 + 23.4967i −0.847743 + 0.896456i
\(688\) 8.31633 + 4.80143i 0.317057 + 0.183053i
\(689\) 3.26425 + 0.918021i 0.124358 + 0.0349738i
\(690\) −18.6542 10.0864i −0.710153 0.383982i
\(691\) 22.4341 6.01119i 0.853432 0.228676i 0.194522 0.980898i \(-0.437685\pi\)
0.658910 + 0.752222i \(0.271018\pi\)
\(692\) −12.6168 + 7.28429i −0.479618 + 0.276907i
\(693\) −9.34876 14.2867i −0.355130 0.542706i
\(694\) 36.2955 + 36.2955i 1.37776 + 1.37776i
\(695\) −63.0129 + 63.0129i −2.39022 + 2.39022i
\(696\) 22.6213 23.9211i 0.857457 0.906728i
\(697\) −0.135744 0.506603i −0.00514166 0.0191890i
\(698\) 1.63136 0.941867i 0.0617479 0.0356502i
\(699\) −2.86323 4.65416i −0.108297 0.176037i
\(700\) −10.6370 39.6978i −0.402041 1.50044i
\(701\) −39.0783 −1.47597 −0.737984 0.674819i \(-0.764222\pi\)
−0.737984 + 0.674819i \(0.764222\pi\)
\(702\) −43.5530 + 3.11536i −1.64380 + 0.117582i
\(703\) −8.66469 −0.326795
\(704\) 18.2931 + 68.2706i 0.689445 + 2.57304i
\(705\) 0.508857 + 0.827143i 0.0191646 + 0.0311520i
\(706\) −26.1620 + 15.1047i −0.984622 + 0.568472i
\(707\) 2.87781 + 10.7401i 0.108231 + 0.403925i
\(708\) 26.9634 28.5128i 1.01335 1.07158i
\(709\) −23.1877 + 23.1877i −0.870831 + 0.870831i −0.992563 0.121732i \(-0.961155\pi\)
0.121732 + 0.992563i \(0.461155\pi\)
\(710\) −6.39755 6.39755i −0.240096 0.240096i
\(711\) 2.30472 0.128833i 0.0864337 0.00483163i
\(712\) −37.3604 + 21.5700i −1.40014 + 0.808371i
\(713\) 10.4813 2.80845i 0.392527 0.105177i
\(714\) −1.56821 0.847937i −0.0586888 0.0317333i
\(715\) −81.9285 + 20.8714i −3.06395 + 0.780546i
\(716\) −25.1075 14.4958i −0.938310 0.541734i
\(717\) −0.786572 + 0.831769i −0.0293751 + 0.0310630i
\(718\) −42.0121 + 72.7670i −1.56788 + 2.71564i
\(719\) 8.82883 15.2920i 0.329260 0.570295i −0.653105 0.757267i \(-0.726534\pi\)
0.982365 + 0.186972i \(0.0598675\pi\)
\(720\) 7.52797 8.41943i 0.280551 0.313773i
\(721\) −2.37005 + 0.635053i −0.0882652 + 0.0236506i
\(722\) 30.2510 + 30.2510i 1.12582 + 1.12582i
\(723\) 3.98755 + 0.949987i 0.148299 + 0.0353304i
\(724\) 19.8693 + 34.4146i 0.738437 + 1.27901i
\(725\) 68.2153 2.53345
\(726\) 20.0108 83.9948i 0.742670 3.11734i
\(727\) 18.3177 10.5757i 0.679366 0.392232i −0.120250 0.992744i \(-0.538370\pi\)
0.799616 + 0.600511i \(0.205036\pi\)
\(728\) −3.25740 + 11.5825i −0.120727 + 0.429276i
\(729\) 26.6220 4.50205i 0.986000 0.166743i
\(730\) −6.17161 + 23.0328i −0.228422 + 0.852481i
\(731\) 4.01955 + 2.32069i 0.148668 + 0.0858337i
\(732\) 6.47989 + 3.50370i 0.239503 + 0.129500i
\(733\) 21.6285 5.79534i 0.798868 0.214056i 0.163781 0.986497i \(-0.447631\pi\)
0.635087 + 0.772441i \(0.280964\pi\)
\(734\) −24.1717 6.47679i −0.892194 0.239063i
\(735\) −5.18504 4.90329i −0.191253 0.180861i
\(736\) 5.59694 + 1.49970i 0.206306 + 0.0552795i
\(737\) 25.0635 + 14.4704i 0.923227 + 0.533025i
\(738\) 6.94801 4.54656i 0.255760 0.167361i
\(739\) 6.67464 + 1.78846i 0.245531 + 0.0657897i 0.379485 0.925198i \(-0.376101\pi\)
−0.133955 + 0.990987i \(0.542768\pi\)
\(740\) −76.3427 132.229i −2.80641 4.86085i
\(741\) −4.30013 + 2.57275i −0.157969 + 0.0945125i
\(742\) −1.09593 + 1.89821i −0.0402330 + 0.0696855i
\(743\) −0.886534 + 0.886534i −0.0325238 + 0.0325238i −0.723182 0.690658i \(-0.757321\pi\)
0.690658 + 0.723182i \(0.257321\pi\)
\(744\) 1.37323 + 49.1700i 0.0503449 + 1.80266i
\(745\) 36.5599i 1.33945i
\(746\) 25.2536 25.2536i 0.924599 0.924599i
\(747\) 32.3139 36.1405i 1.18230 1.32231i
\(748\) −2.23248 8.33173i −0.0816276 0.304638i
\(749\) 3.08015 11.4953i 0.112546 0.420028i
\(750\) 115.974 3.23894i 4.23478 0.118270i
\(751\) 50.2073i 1.83209i 0.401076 + 0.916045i \(0.368636\pi\)
−0.401076 + 0.916045i \(0.631364\pi\)
\(752\) 0.0879241 + 0.0879241i 0.00320626 + 0.00320626i
\(753\) −20.9785 + 0.585891i −0.764501 + 0.0213511i
\(754\) −41.1543 24.4433i −1.49875 0.890171i
\(755\) 81.0081i 2.94819i
\(756\) 3.15805 17.5504i 0.114857 0.638301i
\(757\) −19.0230 32.9489i −0.691404 1.19755i −0.971378 0.237540i \(-0.923659\pi\)
0.279974 0.960008i \(-0.409674\pi\)
\(758\) −23.3023 −0.846376
\(759\) −9.13198 8.63576i −0.331470 0.313458i
\(760\) 2.85537 10.6564i 0.103575 0.386548i
\(761\) −6.35189 + 23.7056i −0.230256 + 0.859326i 0.749975 + 0.661467i \(0.230066\pi\)
−0.980230 + 0.197860i \(0.936601\pi\)
\(762\) −3.30031 + 13.8530i −0.119558 + 0.501841i
\(763\) 2.95045 0.106813
\(764\) 17.8648 + 30.9427i 0.646324 + 1.11947i
\(765\) 3.63851 4.06938i 0.131550 0.147129i
\(766\) 73.8467i 2.66819i
\(767\) −20.4662 12.1557i −0.738991 0.438917i
\(768\) −17.6597 + 32.6606i −0.637241 + 1.17854i
\(769\) −5.84686 5.84686i −0.210843 0.210843i 0.593782 0.804626i \(-0.297634\pi\)
−0.804626 + 0.593782i \(0.797634\pi\)
\(770\) 54.6500i 1.96945i
\(771\) 4.48049 + 7.28300i 0.161361 + 0.262291i
\(772\) −5.85977 + 21.8690i −0.210898 + 0.787082i
\(773\) 9.47819 + 35.3731i 0.340907 + 1.27228i 0.897322 + 0.441377i