Properties

Label 507.2.t.b.4.12
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.12
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.12

$q$-expansion

\(f(q)\) \(=\) \(q+(1.81864 + 0.0732885i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(1.30855 + 0.105637i) q^{4} +(-3.76569 - 1.42814i) q^{5} +(-0.576371 + 1.72644i) q^{6} +(-1.29170 - 3.03172i) q^{7} +(-1.24165 - 0.150763i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(1.81864 + 0.0732885i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(1.30855 + 0.105637i) q^{4} +(-3.76569 - 1.42814i) q^{5} +(-0.576371 + 1.72644i) q^{6} +(-1.29170 - 3.03172i) q^{7} +(-1.24165 - 0.150763i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(-6.74376 - 2.87325i) q^{10} +(-0.0893553 - 0.141304i) q^{11} +(-0.465528 + 1.22750i) q^{12} +(-2.65571 + 2.43868i) q^{13} +(-2.12694 - 5.60827i) q^{14} +(2.41944 - 3.21968i) q^{15} +(-4.83867 - 0.786360i) q^{16} +(-1.24661 + 0.531132i) q^{17} +(-1.49792 - 1.03394i) q^{18} +(5.53158 - 3.19366i) q^{19} +(-4.77674 - 2.26659i) q^{20} +(3.27140 - 0.397220i) q^{21} +(-0.152149 - 0.263530i) q^{22} +(-1.39113 + 2.40951i) q^{23} +(0.490258 - 1.15068i) q^{24} +(8.39832 + 7.44026i) q^{25} +(-5.00851 + 4.24045i) q^{26} +(0.748511 - 0.663123i) q^{27} +(-1.36999 - 4.10362i) q^{28} +(-0.0325697 + 0.808209i) q^{29} +(4.63604 - 5.67812i) q^{30} +(-4.06789 - 4.59170i) q^{31} +(-6.29117 - 1.28435i) q^{32} +(0.160585 - 0.0465141i) q^{33} +(-2.30606 + 0.874573i) q^{34} +(0.534411 + 13.2613i) q^{35} +(-1.04952 - 0.788660i) q^{36} +(4.10676 - 0.838401i) q^{37} +(10.2940 - 5.40270i) q^{38} +(-1.60353 - 3.22935i) q^{39} +(4.46035 + 2.34097i) q^{40} +(-4.95862 - 1.43628i) q^{41} +(5.97859 - 0.482642i) q^{42} +(1.64561 - 8.06074i) q^{43} +(-0.101999 - 0.194343i) q^{44} +(2.41944 + 3.21968i) q^{45} +(-2.70656 + 4.28008i) q^{46} +(-0.289367 + 0.199736i) q^{47} +(2.10152 - 4.42885i) q^{48} +(-2.67380 + 2.78372i) q^{49} +(14.7282 + 14.1466i) q^{50} +(-0.163332 - 1.34516i) q^{51} +(-3.73276 + 2.91060i) q^{52} +(1.02150 - 8.41284i) q^{53} +(1.40987 - 1.15112i) q^{54} +(0.134683 + 0.659720i) q^{55} +(1.14676 + 3.95907i) q^{56} +(1.52859 + 6.20171i) q^{57} +(-0.118465 + 1.46745i) q^{58} +(0.463934 + 2.85470i) q^{59} +(3.50608 - 3.95754i) q^{60} +(-11.7410 + 8.82282i) q^{61} +(-7.06150 - 8.64877i) q^{62} +(-0.528623 + 3.25275i) q^{63} +(-1.82782 - 0.450517i) q^{64} +(13.4834 - 5.39061i) q^{65} +(0.295455 - 0.0728232i) q^{66} +(-0.455998 - 5.64855i) q^{67} +(-1.68736 + 0.563325i) q^{68} +(-1.92734 - 2.00658i) q^{69} +24.1566i q^{70} +(-10.7562 + 10.3315i) q^{71} +(0.968849 + 0.791041i) q^{72} +(1.49389 - 2.84636i) q^{73} +(7.53015 - 1.22377i) q^{74} +(-9.48307 + 5.99673i) q^{75} +(7.57573 - 3.59473i) q^{76} +(-0.312975 + 0.453423i) q^{77} +(-2.67957 - 5.99053i) q^{78} +(2.80535 + 4.06424i) q^{79} +(17.0979 + 9.87149i) q^{80} +(0.428693 + 0.903450i) q^{81} +(-8.91267 - 2.97549i) q^{82} +(3.96026 - 16.0674i) q^{83} +(4.32275 - 0.174201i) q^{84} +(5.45289 - 0.219744i) q^{85} +(3.58353 - 14.5390i) q^{86} +(-0.767238 - 0.256142i) q^{87} +(0.0896442 + 0.188921i) q^{88} +(-1.00113 - 0.578001i) q^{89} +(4.16411 + 6.03275i) q^{90} +(10.8238 + 4.90135i) q^{91} +(-2.07490 + 3.00602i) q^{92} +(5.54217 - 2.62979i) q^{93} +(-0.540891 + 0.342039i) q^{94} +(-25.3912 + 4.12648i) q^{95} +(2.98396 - 5.68546i) q^{96} +(-4.48931 - 3.66541i) q^{97} +(-5.06668 + 4.86661i) q^{98} +0.167186i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.81864 + 0.0732885i 1.28597 + 0.0518228i 0.673806 0.738908i \(-0.264658\pi\)
0.612164 + 0.790731i \(0.290299\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) 1.30855 + 0.105637i 0.654276 + 0.0528186i
\(5\) −3.76569 1.42814i −1.68407 0.638683i −0.687874 0.725830i \(-0.741456\pi\)
−0.996196 + 0.0871464i \(0.972225\pi\)
\(6\) −0.576371 + 1.72644i −0.235303 + 0.704817i
\(7\) −1.29170 3.03172i −0.488215 1.14588i −0.963899 0.266267i \(-0.914210\pi\)
0.475684 0.879616i \(-0.342201\pi\)
\(8\) −1.24165 0.150763i −0.438988 0.0533028i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) −6.74376 2.87325i −2.13256 0.908601i
\(11\) −0.0893553 0.141304i −0.0269417 0.0426048i 0.831451 0.555598i \(-0.187511\pi\)
−0.858392 + 0.512994i \(0.828536\pi\)
\(12\) −0.465528 + 1.22750i −0.134386 + 0.354348i
\(13\) −2.65571 + 2.43868i −0.736563 + 0.676369i
\(14\) −2.12694 5.60827i −0.568447 1.49887i
\(15\) 2.41944 3.21968i 0.624696 0.831319i
\(16\) −4.83867 0.786360i −1.20967 0.196590i
\(17\) −1.24661 + 0.531132i −0.302348 + 0.128818i −0.537812 0.843065i \(-0.680749\pi\)
0.235465 + 0.971883i \(0.424339\pi\)
\(18\) −1.49792 1.03394i −0.353064 0.243702i
\(19\) 5.53158 3.19366i 1.26903 0.732676i 0.294227 0.955736i \(-0.404938\pi\)
0.974805 + 0.223060i \(0.0716046\pi\)
\(20\) −4.77674 2.26659i −1.06811 0.506825i
\(21\) 3.27140 0.397220i 0.713878 0.0866804i
\(22\) −0.152149 0.263530i −0.0324383 0.0561847i
\(23\) −1.39113 + 2.40951i −0.290071 + 0.502418i −0.973826 0.227293i \(-0.927012\pi\)
0.683755 + 0.729712i \(0.260346\pi\)
\(24\) 0.490258 1.15068i 0.100074 0.234881i
\(25\) 8.39832 + 7.44026i 1.67966 + 1.48805i
\(26\) −5.00851 + 4.24045i −0.982249 + 0.831620i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) −1.36999 4.10362i −0.258904 0.775511i
\(29\) −0.0325697 + 0.808209i −0.00604805 + 0.150081i 0.993343 + 0.115193i \(0.0367485\pi\)
−0.999391 + 0.0348881i \(0.988893\pi\)
\(30\) 4.63604 5.67812i 0.846421 1.03668i
\(31\) −4.06789 4.59170i −0.730615 0.824694i 0.259383 0.965775i \(-0.416481\pi\)
−0.989998 + 0.141080i \(0.954942\pi\)
\(32\) −6.29117 1.28435i −1.11213 0.227043i
\(33\) 0.160585 0.0465141i 0.0279543 0.00809707i
\(34\) −2.30606 + 0.874573i −0.395486 + 0.149988i
\(35\) 0.534411 + 13.2613i 0.0903319 + 2.24156i
\(36\) −1.04952 0.788660i −0.174919 0.131443i
\(37\) 4.10676 0.838401i 0.675147 0.137832i 0.149795 0.988717i \(-0.452139\pi\)
0.525352 + 0.850885i \(0.323934\pi\)
\(38\) 10.2940 5.40270i 1.66991 0.876434i
\(39\) −1.60353 3.22935i −0.256771 0.517109i
\(40\) 4.46035 + 2.34097i 0.705243 + 0.370140i
\(41\) −4.95862 1.43628i −0.774407 0.224310i −0.132593 0.991171i \(-0.542330\pi\)
−0.641813 + 0.766861i \(0.721818\pi\)
\(42\) 5.97859 0.482642i 0.922517 0.0744733i
\(43\) 1.64561 8.06074i 0.250954 1.22925i −0.637560 0.770401i \(-0.720056\pi\)
0.888513 0.458851i \(-0.151739\pi\)
\(44\) −0.101999 0.194343i −0.0153769 0.0292983i
\(45\) 2.41944 + 3.21968i 0.360668 + 0.479962i
\(46\) −2.70656 + 4.28008i −0.399060 + 0.631063i
\(47\) −0.289367 + 0.199736i −0.0422085 + 0.0291344i −0.588982 0.808146i \(-0.700471\pi\)
0.546774 + 0.837280i \(0.315856\pi\)
\(48\) 2.10152 4.42885i 0.303328 0.639249i
\(49\) −2.67380 + 2.78372i −0.381971 + 0.397674i
\(50\) 14.7282 + 14.1466i 2.08288 + 2.00064i
\(51\) −0.163332 1.34516i −0.0228711 0.188361i
\(52\) −3.73276 + 2.91060i −0.517640 + 0.403628i
\(53\) 1.02150 8.41284i 0.140314 1.15559i −0.737074 0.675812i \(-0.763793\pi\)
0.877388 0.479781i \(-0.159284\pi\)
\(54\) 1.40987 1.15112i 0.191859 0.156648i
\(55\) 0.134683 + 0.659720i 0.0181606 + 0.0889567i
\(56\) 1.14676 + 3.95907i 0.153242 + 0.529053i
\(57\) 1.52859 + 6.20171i 0.202466 + 0.821437i
\(58\) −0.118465 + 1.46745i −0.0155552 + 0.192686i
\(59\) 0.463934 + 2.85470i 0.0603991 + 0.371650i 0.999600 + 0.0282823i \(0.00900373\pi\)
−0.939201 + 0.343368i \(0.888432\pi\)
\(60\) 3.50608 3.95754i 0.452632 0.510916i
\(61\) −11.7410 + 8.82282i −1.50329 + 1.12965i −0.547030 + 0.837113i \(0.684242\pi\)
−0.956255 + 0.292533i \(0.905502\pi\)
\(62\) −7.06150 8.64877i −0.896811 1.09839i
\(63\) −0.528623 + 3.25275i −0.0666003 + 0.409808i
\(64\) −1.82782 0.450517i −0.228477 0.0563146i
\(65\) 13.4834 5.39061i 1.67241 0.668623i
\(66\) 0.295455 0.0728232i 0.0363681 0.00896392i
\(67\) −0.455998 5.64855i −0.0557091 0.690081i −0.962987 0.269549i \(-0.913125\pi\)
0.907278 0.420532i \(-0.138157\pi\)
\(68\) −1.68736 + 0.563325i −0.204623 + 0.0683132i
\(69\) −1.92734 2.00658i −0.232025 0.241564i
\(70\) 24.1566i 2.88726i
\(71\) −10.7562 + 10.3315i −1.27653 + 1.22612i −0.315734 + 0.948848i \(0.602251\pi\)
−0.960791 + 0.277272i \(0.910570\pi\)
\(72\) 0.968849 + 0.791041i 0.114180 + 0.0932250i
\(73\) 1.49389 2.84636i 0.174846 0.333141i −0.782224 0.622997i \(-0.785915\pi\)
0.957070 + 0.289856i \(0.0936073\pi\)
\(74\) 7.53015 1.22377i 0.875362 0.142260i
\(75\) −9.48307 + 5.99673i −1.09501 + 0.692442i
\(76\) 7.57573 3.59473i 0.868996 0.412343i
\(77\) −0.312975 + 0.453423i −0.0356668 + 0.0516723i
\(78\) −2.67957 5.99053i −0.303402 0.678294i
\(79\) 2.80535 + 4.06424i 0.315626 + 0.457263i 0.948401 0.317072i \(-0.102700\pi\)
−0.632775 + 0.774335i \(0.718084\pi\)
\(80\) 17.0979 + 9.87149i 1.91161 + 1.10367i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) −8.91267 2.97549i −0.984240 0.328588i
\(83\) 3.96026 16.0674i 0.434695 1.76363i −0.189019 0.981973i \(-0.560531\pi\)
0.623714 0.781653i \(-0.285623\pi\)
\(84\) 4.32275 0.174201i 0.471651 0.0190069i
\(85\) 5.45289 0.219744i 0.591449 0.0238346i
\(86\) 3.58353 14.5390i 0.386422 1.56778i
\(87\) −0.767238 0.256142i −0.0822566 0.0274613i
\(88\) 0.0896442 + 0.188921i 0.00955611 + 0.0201391i
\(89\) −1.00113 0.578001i −0.106119 0.0612680i 0.446001 0.895032i \(-0.352848\pi\)
−0.552120 + 0.833764i \(0.686181\pi\)
\(90\) 4.16411 + 6.03275i 0.438936 + 0.635908i
\(91\) 10.8238 + 4.90135i 1.13464 + 0.513801i
\(92\) −2.07490 + 3.00602i −0.216324 + 0.313399i
\(93\) 5.54217 2.62979i 0.574697 0.272697i
\(94\) −0.540891 + 0.342039i −0.0557887 + 0.0352786i
\(95\) −25.3912 + 4.12648i −2.60509 + 0.423368i
\(96\) 2.98396 5.68546i 0.304549 0.580269i
\(97\) −4.48931 3.66541i −0.455821 0.372166i 0.376540 0.926400i \(-0.377114\pi\)
−0.832361 + 0.554234i \(0.813011\pi\)
\(98\) −5.06668 + 4.86661i −0.511812 + 0.491602i
\(99\) 0.167186i 0.0168029i
\(100\) 10.2037 + 10.6231i 1.02037 + 1.06231i
\(101\) −15.8491 + 5.29122i −1.57705 + 0.526496i −0.964533 0.263963i \(-0.914970\pi\)
−0.612515 + 0.790459i \(0.709842\pi\)
\(102\) −0.198457 2.45833i −0.0196502 0.243411i
\(103\) −14.3227 + 3.53022i −1.41125 + 0.347843i −0.870015 0.493026i \(-0.835891\pi\)
−0.541239 + 0.840869i \(0.682045\pi\)
\(104\) 3.66512 2.62760i 0.359395 0.257657i
\(105\) −12.8864 3.17621i −1.25758 0.309966i
\(106\) 2.47431 15.2250i 0.240326 1.47879i
\(107\) −1.49352 1.82923i −0.144384 0.176838i 0.697350 0.716731i \(-0.254362\pi\)
−0.841734 + 0.539892i \(0.818465\pi\)
\(108\) 1.04952 0.788660i 0.100990 0.0758888i
\(109\) 8.89357 10.0388i 0.851850 0.961540i −0.147772 0.989021i \(-0.547210\pi\)
0.999622 + 0.0274816i \(0.00874875\pi\)
\(110\) 0.196589 + 1.20966i 0.0187440 + 0.115337i
\(111\) −0.337273 + 4.17788i −0.0320125 + 0.396546i
\(112\) 3.86607 + 15.6852i 0.365309 + 1.48212i
\(113\) 1.79790 + 6.20709i 0.169133 + 0.583913i 0.999638 + 0.0269030i \(0.00856452\pi\)
−0.830505 + 0.557011i \(0.811948\pi\)
\(114\) 2.32543 + 11.3907i 0.217796 + 1.06684i
\(115\) 8.67971 7.08676i 0.809387 0.660844i
\(116\) −0.127996 + 1.05414i −0.0118841 + 0.0978748i
\(117\) 3.54798 0.641763i 0.328011 0.0593310i
\(118\) 0.634510 + 5.22566i 0.0584114 + 0.481061i
\(119\) 3.22049 + 3.09332i 0.295222 + 0.283564i
\(120\) −3.48949 + 3.63295i −0.318546 + 0.331641i
\(121\) 4.70364 9.91270i 0.427603 0.901155i
\(122\) −21.9993 + 15.1850i −1.99172 + 1.37479i
\(123\) 2.75915 4.36325i 0.248784 0.393421i
\(124\) −4.83800 6.43820i −0.434465 0.578168i
\(125\) −11.6416 22.1812i −1.04126 1.98395i
\(126\) −1.19976 + 5.87683i −0.106883 + 0.523549i
\(127\) 15.3019 1.23530i 1.35783 0.109615i 0.619997 0.784604i \(-0.287134\pi\)
0.737828 + 0.674989i \(0.235852\pi\)
\(128\) 9.04373 + 2.61955i 0.799360 + 0.231538i
\(129\) 7.28465 + 3.82328i 0.641378 + 0.336621i
\(130\) 24.9165 8.81538i 2.18532 0.773160i
\(131\) −3.95776 + 2.07719i −0.345791 + 0.181485i −0.628673 0.777669i \(-0.716402\pi\)
0.282882 + 0.959155i \(0.408709\pi\)
\(132\) 0.215048 0.0439024i 0.0187175 0.00382121i
\(133\) −16.8274 12.6450i −1.45912 1.09646i
\(134\) −0.415321 10.3061i −0.0358783 0.890310i
\(135\) −3.76569 + 1.42814i −0.324099 + 0.122915i
\(136\) 1.62793 0.471534i 0.139593 0.0404337i
\(137\) 18.3496 + 3.74609i 1.56771 + 0.320050i 0.903864 0.427819i \(-0.140718\pi\)
0.663846 + 0.747869i \(0.268923\pi\)
\(138\) −3.35808 3.79049i −0.285859 0.322668i
\(139\) −2.99240 + 3.66502i −0.253812 + 0.310863i −0.885756 0.464151i \(-0.846360\pi\)
0.631944 + 0.775014i \(0.282257\pi\)
\(140\) −0.701579 + 17.4095i −0.0592943 + 1.47137i
\(141\) −0.111343 0.333512i −0.00937675 0.0280868i
\(142\) −20.3188 + 18.0009i −1.70511 + 1.51060i
\(143\) 0.581899 + 0.157354i 0.0486608 + 0.0131586i
\(144\) 3.66931 + 3.25073i 0.305776 + 0.270894i
\(145\) 1.27688 2.99696i 0.106039 0.248884i
\(146\) 2.92544 5.06701i 0.242111 0.419349i
\(147\) −1.92991 3.34271i −0.159177 0.275702i
\(148\) 5.46248 0.663265i 0.449013 0.0545200i
\(149\) −14.9887 7.11222i −1.22792 0.582656i −0.299468 0.954106i \(-0.596809\pi\)
−0.928453 + 0.371451i \(0.878860\pi\)
\(150\) −17.6857 + 10.2109i −1.44403 + 0.833714i
\(151\) 13.2191 + 9.12452i 1.07576 + 0.742543i 0.967827 0.251616i \(-0.0809619\pi\)
0.107931 + 0.994158i \(0.465577\pi\)
\(152\) −7.34975 + 3.13143i −0.596143 + 0.253993i
\(153\) 1.33750 + 0.217364i 0.108130 + 0.0175729i
\(154\) −0.602419 + 0.801674i −0.0485443 + 0.0646007i
\(155\) 8.76085 + 23.1005i 0.703689 + 1.85547i
\(156\) −1.75717 4.39516i −0.140686 0.351894i
\(157\) 7.50573 19.7910i 0.599022 1.57949i −0.201046 0.979582i \(-0.564434\pi\)
0.800068 0.599910i \(-0.204797\pi\)
\(158\) 4.80404 + 7.59698i 0.382189 + 0.604383i
\(159\) 7.79649 + 3.32177i 0.618302 + 0.263434i
\(160\) 21.8564 + 13.8211i 1.72790 + 1.09266i
\(161\) 9.10190 + 1.10517i 0.717331 + 0.0870997i
\(162\) 0.713423 + 1.67447i 0.0560518 + 0.131558i
\(163\) −3.10676 + 9.30589i −0.243340 + 0.728894i 0.754058 + 0.656808i \(0.228094\pi\)
−0.997398 + 0.0720858i \(0.977034\pi\)
\(164\) −6.33689 2.40327i −0.494828 0.187664i
\(165\) −0.671144 0.0541804i −0.0522485 0.00421794i
\(166\) 8.37982 28.9305i 0.650400 2.24544i
\(167\) −5.51497 0.222246i −0.426761 0.0171979i −0.174043 0.984738i \(-0.555683\pi\)
−0.252718 + 0.967540i \(0.581324\pi\)
\(168\) −4.12180 −0.318004
\(169\) 1.10564 12.9529i 0.0850493 0.996377i
\(170\) 9.93293 0.761821
\(171\) −6.38214 0.257191i −0.488054 0.0196679i
\(172\) 3.00488 10.3741i 0.229120 0.791015i
\(173\) −1.89584 0.153048i −0.144138 0.0116360i 0.00818687 0.999966i \(-0.497394\pi\)
−0.152325 + 0.988330i \(0.548676\pi\)
\(174\) −1.37656 0.522059i −0.104356 0.0395772i
\(175\) 11.7087 35.0719i 0.885097 2.65119i
\(176\) 0.321245 + 0.753990i 0.0242148 + 0.0568341i
\(177\) −2.87107 0.348611i −0.215803 0.0262032i
\(178\) −1.77832 1.12454i −0.133291 0.0842882i
\(179\) 0.0238416 + 0.0101580i 0.00178200 + 0.000759241i 0.392857 0.919599i \(-0.371487\pi\)
−0.391075 + 0.920359i \(0.627897\pi\)
\(180\) 2.82584 + 4.46871i 0.210626 + 0.333078i
\(181\) 6.75541 17.8126i 0.502126 1.32400i −0.409250 0.912422i \(-0.634210\pi\)
0.911376 0.411575i \(-0.135021\pi\)
\(182\) 19.3253 + 9.70704i 1.43249 + 0.719533i
\(183\) −5.20791 13.7321i −0.384980 1.01511i
\(184\) 2.09056 2.78203i 0.154118 0.205094i
\(185\) −16.6622 2.70787i −1.22503 0.199086i
\(186\) 10.2719 4.37646i 0.753175 0.320898i
\(187\) 0.186443 + 0.128692i 0.0136340 + 0.00941089i
\(188\) −0.399751 + 0.230796i −0.0291548 + 0.0168326i
\(189\) −2.97725 1.41272i −0.216563 0.102761i
\(190\) −46.4798 + 5.64367i −3.37200 + 0.409435i
\(191\) 4.18713 + 7.25233i 0.302970 + 0.524760i 0.976807 0.214120i \(-0.0686883\pi\)
−0.673837 + 0.738880i \(0.735355\pi\)
\(192\) 0.941260 1.63031i 0.0679296 0.117658i
\(193\) −1.93115 + 4.53258i −0.139007 + 0.326262i −0.974904 0.222624i \(-0.928538\pi\)
0.835897 + 0.548886i \(0.184948\pi\)
\(194\) −7.89579 6.99506i −0.566885 0.502216i
\(195\) 1.42646 + 14.4508i 0.102151 + 1.03484i
\(196\) −3.79287 + 3.36019i −0.270919 + 0.240013i
\(197\) 2.51298 + 7.52731i 0.179043 + 0.536298i 0.999366 0.0356016i \(-0.0113347\pi\)
−0.820323 + 0.571900i \(0.806207\pi\)
\(198\) −0.0122528 + 0.304051i −0.000870771 + 0.0216080i
\(199\) −2.22422 + 2.72417i −0.157671 + 0.193111i −0.847399 0.530957i \(-0.821833\pi\)
0.689728 + 0.724068i \(0.257730\pi\)
\(200\) −9.30602 10.5043i −0.658035 0.742768i
\(201\) 5.55241 + 1.13353i 0.391636 + 0.0799532i
\(202\) −29.2116 + 8.46124i −2.05532 + 0.595331i
\(203\) 2.49234 0.945219i 0.174928 0.0663414i
\(204\) −0.0716296 1.77747i −0.00501507 0.124448i
\(205\) 16.6215 + 12.4902i 1.16089 + 0.872354i
\(206\) −26.3064 + 5.37050i −1.83286 + 0.374180i
\(207\) 2.46358 1.29298i 0.171230 0.0898686i
\(208\) 14.7678 9.71164i 1.02396 0.673381i
\(209\) −0.945553 0.496265i −0.0654053 0.0343274i
\(210\) −23.2028 6.72078i −1.60115 0.463778i
\(211\) 9.61061 0.775848i 0.661621 0.0534116i 0.254905 0.966966i \(-0.417956\pi\)
0.406716 + 0.913555i \(0.366674\pi\)
\(212\) 2.22540 10.9007i 0.152841 0.748665i
\(213\) −6.93100 13.2059i −0.474904 0.904855i
\(214\) −2.58211 3.43616i −0.176509 0.234891i
\(215\) −17.7087 + 28.0041i −1.20773 + 1.90987i
\(216\) −1.02936 + 0.710516i −0.0700390 + 0.0483445i
\(217\) −8.66629 + 18.2638i −0.588306 + 1.23983i
\(218\) 16.9099 17.6051i 1.14528 1.19237i
\(219\) 2.31836 + 2.22681i 0.156660 + 0.150474i
\(220\) 0.106548 + 0.877506i 0.00718350 + 0.0591614i
\(221\) 2.01538 4.45063i 0.135569 0.299382i
\(222\) −0.919567 + 7.57332i −0.0617173 + 0.508288i
\(223\) 15.4323 12.6001i 1.03342 0.843763i 0.0455384 0.998963i \(-0.485500\pi\)
0.987883 + 0.155200i \(0.0496022\pi\)
\(224\) 4.23249 + 20.7321i 0.282795 + 1.38522i
\(225\) −3.12161 10.7771i −0.208107 0.718470i
\(226\) 2.81483 + 11.4202i 0.187239 + 0.759660i
\(227\) 1.33010 16.4762i 0.0882817 1.09357i −0.789258 0.614062i \(-0.789535\pi\)
0.877540 0.479504i \(-0.159183\pi\)
\(228\) 1.34510 + 8.27674i 0.0890815 + 0.548140i
\(229\) −14.6938 + 16.5859i −0.970995 + 1.09603i 0.0243555 + 0.999703i \(0.492247\pi\)
−0.995350 + 0.0963230i \(0.969292\pi\)
\(230\) 16.3046 12.2521i 1.07509 0.807881i
\(231\) −0.348446 0.426768i −0.0229260 0.0280793i
\(232\) 0.162288 0.998599i 0.0106547 0.0655613i
\(233\) −21.6210 5.32909i −1.41644 0.349120i −0.544508 0.838755i \(-0.683284\pi\)
−0.871927 + 0.489635i \(0.837130\pi\)
\(234\) 6.49951 0.907107i 0.424886 0.0592994i
\(235\) 1.37492 0.338887i 0.0896897 0.0221065i
\(236\) 0.305519 + 3.78453i 0.0198876 + 0.246352i
\(237\) −4.68428 + 1.56384i −0.304276 + 0.101582i
\(238\) 5.63019 + 5.86165i 0.364951 + 0.379954i
\(239\) 18.9252i 1.22417i −0.790792 0.612085i \(-0.790331\pi\)
0.790792 0.612085i \(-0.209669\pi\)
\(240\) −14.2387 + 13.6764i −0.919103 + 0.882810i
\(241\) 10.2920 + 8.40316i 0.662966 + 0.541295i 0.903092 0.429447i \(-0.141291\pi\)
−0.240126 + 0.970742i \(0.577189\pi\)
\(242\) 9.28069 17.6829i 0.596585 1.13670i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) −16.2958 + 10.3048i −1.04323 + 0.659699i
\(245\) 14.0442 6.66407i 0.897254 0.425752i
\(246\) 5.33767 7.73295i 0.340317 0.493035i
\(247\) −6.90197 + 21.9712i −0.439162 + 1.39800i
\(248\) 4.35862 + 6.31456i 0.276773 + 0.400975i
\(249\) 14.3312 + 8.27413i 0.908204 + 0.524352i
\(250\) −19.5462 41.1928i −1.23621 2.60526i
\(251\) 0.481538 + 0.160761i 0.0303944 + 0.0101471i 0.331825 0.943341i \(-0.392336\pi\)
−0.301430 + 0.953488i \(0.597464\pi\)
\(252\) −1.03534 + 4.20055i −0.0652205 + 0.264610i
\(253\) 0.464780 0.0187300i 0.0292204 0.00117754i
\(254\) 27.9191 1.12510i 1.75180 0.0705953i
\(255\) −1.30602 + 5.29874i −0.0817862 + 0.331820i
\(256\) 19.8265 + 6.61907i 1.23916 + 0.413692i
\(257\) −0.706617 1.48916i −0.0440776 0.0928915i 0.880217 0.474571i \(-0.157397\pi\)
−0.924295 + 0.381680i \(0.875346\pi\)
\(258\) 12.9679 + 7.48704i 0.807348 + 0.466123i
\(259\) −7.84649 11.3676i −0.487557 0.706349i
\(260\) 18.2132 5.62954i 1.12953 0.349129i
\(261\) 0.459488 0.665683i 0.0284416 0.0412048i
\(262\) −7.34996 + 3.48760i −0.454082 + 0.215465i
\(263\) 1.16714 0.738055i 0.0719689 0.0455104i −0.497997 0.867179i \(-0.665931\pi\)
0.569966 + 0.821669i \(0.306956\pi\)
\(264\) −0.206403 + 0.0335437i −0.0127032 + 0.00206447i
\(265\) −15.8614 + 30.2213i −0.974357 + 1.85648i
\(266\) −29.6762 24.2299i −1.81957 1.48563i
\(267\) 0.833711 0.800791i 0.0510223 0.0490076i
\(268\) 7.43960i 0.454446i
\(269\) 3.06430 + 3.19027i 0.186833 + 0.194514i 0.808031 0.589140i \(-0.200533\pi\)
−0.621198 + 0.783654i \(0.713354\pi\)
\(270\) −6.95309 + 2.32128i −0.423152 + 0.141269i
\(271\) 2.44107 + 30.2380i 0.148284 + 1.83683i 0.461492 + 0.887144i \(0.347314\pi\)
−0.313208 + 0.949684i \(0.601404\pi\)
\(272\) 6.44960 1.58968i 0.391065 0.0963888i
\(273\) −7.71921 + 9.03281i −0.467188 + 0.546690i
\(274\) 33.0967 + 8.15759i 1.99944 + 0.492818i
\(275\) 0.300905 1.85154i 0.0181453 0.111652i
\(276\) −2.31006 2.82931i −0.139049 0.170304i
\(277\) 0.872739 0.655821i 0.0524378 0.0394044i −0.574200 0.818715i \(-0.694687\pi\)
0.626638 + 0.779310i \(0.284430\pi\)
\(278\) −5.71069 + 6.44603i −0.342504 + 0.386607i
\(279\) 0.984035 + 6.05501i 0.0589127 + 0.362504i
\(280\) 1.33576 16.5464i 0.0798270 0.988834i
\(281\) 4.99875 + 20.2807i 0.298201 + 1.20985i 0.908571 + 0.417731i \(0.137175\pi\)
−0.610370 + 0.792116i \(0.708979\pi\)
\(282\) −0.178049 0.614697i −0.0106027 0.0366047i
\(283\) 2.14795 + 10.5214i 0.127683 + 0.625431i 0.992388 + 0.123151i \(0.0393001\pi\)
−0.864705 + 0.502280i \(0.832495\pi\)
\(284\) −15.1664 + 12.3830i −0.899962 + 0.734796i
\(285\) 3.10073 25.5368i 0.183671 1.51267i
\(286\) 1.04673 + 0.328816i 0.0618944 + 0.0194433i
\(287\) 2.05063 + 16.8884i 0.121045 + 0.996892i
\(288\) 4.63079 + 4.44794i 0.272872 + 0.262097i
\(289\) −10.5044 + 10.9362i −0.617904 + 0.643307i
\(290\) 2.54183 5.35679i 0.149261 0.314562i
\(291\) 4.76970 3.29228i 0.279605 0.192997i
\(292\) 2.25551 3.56680i 0.131994 0.208731i
\(293\) −15.7122 20.9091i −0.917914 1.22152i −0.974786 0.223140i \(-0.928369\pi\)
0.0568728 0.998381i \(-0.481887\pi\)
\(294\) −3.26483 6.22061i −0.190409 0.362793i
\(295\) 2.32988 11.4125i 0.135651 0.664461i
\(296\) −5.22554 + 0.421849i −0.303728 + 0.0245195i
\(297\) −0.160585 0.0465141i −0.00931811 0.00269902i
\(298\) −26.7377 14.0330i −1.54887 0.812912i
\(299\) −2.18159 9.79152i −0.126165 0.566258i
\(300\) −13.0426 + 6.84526i −0.753013 + 0.395211i
\(301\) −26.5636 + 5.42299i −1.53110 + 0.312576i
\(302\) 23.3721 + 17.5630i 1.34491 + 1.01064i
\(303\) −0.672805 16.6955i −0.0386517 0.959131i
\(304\) −29.2768 + 11.1032i −1.67914 + 0.636815i
\(305\) 56.8134 16.4562i 3.25312 0.942279i
\(306\) 2.41649 + 0.493330i 0.138141 + 0.0282018i
\(307\) −12.2316 13.8067i −0.698097 0.787989i 0.287377 0.957818i \(-0.407217\pi\)
−0.985474 + 0.169829i \(0.945678\pi\)
\(308\) −0.457443 + 0.560265i −0.0260652 + 0.0319241i
\(309\) 0.593975 14.7393i 0.0337901 0.838492i
\(310\) 14.2398 + 42.6534i 0.808767 + 2.42255i
\(311\) −12.4918 + 11.0668i −0.708346 + 0.627540i −0.938365 0.345646i \(-0.887660\pi\)
0.230019 + 0.973186i \(0.426121\pi\)
\(312\) 1.50415 + 4.25146i 0.0851560 + 0.240691i
\(313\) −2.31012 2.04658i −0.130575 0.115680i 0.595308 0.803498i \(-0.297030\pi\)
−0.725883 + 0.687818i \(0.758569\pi\)
\(314\) 15.1006 35.4425i 0.852178 2.00014i
\(315\) 6.63602 11.4939i 0.373897 0.647609i
\(316\) 3.24160 + 5.61462i 0.182354 + 0.315847i
\(317\) −5.09965 + 0.619210i −0.286425 + 0.0347783i −0.262488 0.964935i \(-0.584543\pi\)
−0.0239367 + 0.999713i \(0.507620\pi\)
\(318\) 13.9355 + 6.61249i 0.781466 + 0.370810i
\(319\) 0.117114 0.0676156i 0.00655711 0.00378575i
\(320\) 6.23960 + 4.30689i 0.348804 + 0.240762i
\(321\) 2.17253 0.925629i 0.121259 0.0516636i
\(322\) 16.4721 + 2.67697i 0.917952 + 0.149182i
\(323\) −5.19948 + 6.91925i −0.289307 + 0.384997i
\(324\) 0.465528 + 1.22750i 0.0258627 + 0.0681943i
\(325\) −40.4480 + 0.721635i −2.24365 + 0.0400291i
\(326\) −6.33209 + 16.6963i −0.350702 + 0.924725i
\(327\) 7.16807 + 11.3354i 0.396395 + 0.626849i
\(328\) 5.94032 + 2.53093i 0.327999 + 0.139747i
\(329\) 0.979317 + 0.619283i 0.0539915 + 0.0341422i
\(330\) −1.21660 0.147722i −0.0669714 0.00813181i
\(331\) −5.54755 13.0206i −0.304921 0.715675i 0.695074 0.718938i \(-0.255372\pi\)
−0.999995 + 0.00326288i \(0.998961\pi\)
\(332\) 6.87952 20.6067i 0.377563 1.13094i
\(333\) −3.91909 1.48632i −0.214765 0.0814496i
\(334\) −10.0134 0.808368i −0.547911 0.0442319i
\(335\) −6.34977 + 21.9220i −0.346925 + 1.19772i
\(336\) −16.1416 0.650483i −0.880595 0.0354868i
\(337\) −21.8026 −1.18767 −0.593833 0.804589i \(-0.702386\pi\)
−0.593833 + 0.804589i \(0.702386\pi\)
\(338\) 2.96006 23.4756i 0.161006 1.27690i
\(339\) −6.46223 −0.350980
\(340\) 7.15860 + 0.288482i 0.388230 + 0.0156451i
\(341\) −0.285339 + 0.985104i −0.0154520 + 0.0533464i
\(342\) −11.5879 0.935475i −0.626604 0.0505847i
\(343\) −9.67574 3.66952i −0.522441 0.198136i
\(344\) −3.25853 + 9.76049i −0.175688 + 0.526250i
\(345\) 4.39212 + 10.3087i 0.236464 + 0.555001i
\(346\) −3.43663 0.417282i −0.184754 0.0224332i
\(347\) 14.3088 + 9.04835i 0.768138 + 0.485741i 0.860165 0.510016i \(-0.170360\pi\)
−0.0920275 + 0.995756i \(0.529335\pi\)
\(348\) −0.976913 0.416224i −0.0523680 0.0223119i
\(349\) −9.53336 15.0758i −0.510309 0.806989i 0.487502 0.873122i \(-0.337908\pi\)
−0.997811 + 0.0661331i \(0.978934\pi\)
\(350\) 23.8643 62.9250i 1.27560 3.36348i
\(351\) −0.370684 + 3.58645i −0.0197857 + 0.191430i
\(352\) 0.380666 + 1.00373i 0.0202895 + 0.0534991i
\(353\) 22.0449 29.3365i 1.17333 1.56142i 0.414627 0.909991i \(-0.363912\pi\)
0.758707 0.651433i \(-0.225832\pi\)
\(354\) −5.19588 0.844412i −0.276158 0.0448800i
\(355\) 55.2593 23.5438i 2.93286 1.24958i
\(356\) −1.24897 0.862100i −0.0661952 0.0456912i
\(357\) −3.86719 + 2.23272i −0.204673 + 0.118168i
\(358\) 0.0426147 + 0.0202209i 0.00225226 + 0.00106871i
\(359\) −11.3825 + 1.38208i −0.600745 + 0.0729436i −0.415259 0.909703i \(-0.636309\pi\)
−0.185486 + 0.982647i \(0.559386\pi\)
\(360\) −2.51867 4.36247i −0.132746 0.229922i
\(361\) 10.8989 18.8775i 0.573627 0.993551i
\(362\) 13.5911 31.8995i 0.714332 1.67660i
\(363\) 8.21270 + 7.27581i 0.431055 + 0.381881i
\(364\) 13.6457 + 7.55707i 0.715231 + 0.396098i
\(365\) −9.69051 + 8.58505i −0.507225 + 0.449362i
\(366\) −8.46489 25.3554i −0.442467 1.32535i
\(367\) −0.627741 + 15.5772i −0.0327678 + 0.813124i 0.896351 + 0.443344i \(0.146208\pi\)
−0.929119 + 0.369780i \(0.879433\pi\)
\(368\) 8.62598 10.5649i 0.449660 0.550734i
\(369\) 3.42334 + 3.86415i 0.178212 + 0.201159i
\(370\) −30.1040 6.14577i −1.56503 0.319503i
\(371\) −26.8249 + 7.76992i −1.39268 + 0.403394i
\(372\) 7.53003 2.85576i 0.390414 0.148064i
\(373\) −1.38901 34.4678i −0.0719200 1.78468i −0.485527 0.874222i \(-0.661372\pi\)
0.413607 0.910456i \(-0.364269\pi\)
\(374\) 0.329640 + 0.247708i 0.0170453 + 0.0128087i
\(375\) 24.5444 5.01077i 1.26747 0.258755i
\(376\) 0.389404 0.204375i 0.0200820 0.0105398i
\(377\) −1.88447 2.22580i −0.0970552 0.114635i
\(378\) −5.31100 2.78743i −0.273169 0.143370i
\(379\) −30.6484 8.87741i −1.57430 0.456002i −0.627712 0.778445i \(-0.716009\pi\)
−0.946589 + 0.322444i \(0.895496\pi\)
\(380\) −33.6616 + 2.71745i −1.72681 + 0.139402i
\(381\) −3.07073 + 15.0414i −0.157318 + 0.770597i
\(382\) 7.08336 + 13.4962i 0.362416 + 0.690527i
\(383\) 8.34721 + 11.1081i 0.426523 + 0.567599i 0.960635 0.277815i \(-0.0896103\pi\)
−0.534112 + 0.845414i \(0.679354\pi\)
\(384\) −5.03225 + 7.95786i −0.256801 + 0.406098i
\(385\) 1.82612 1.26048i 0.0930677 0.0642400i
\(386\) −3.84425 + 8.10158i −0.195667 + 0.412360i
\(387\) −5.69905 + 5.93334i −0.289699 + 0.301608i
\(388\) −5.48729 5.27062i −0.278575 0.267575i
\(389\) −1.09255 8.99792i −0.0553943 0.456213i −0.993843 0.110795i \(-0.964660\pi\)
0.938449 0.345418i \(-0.112263\pi\)
\(390\) 1.53514 + 26.3853i 0.0777347 + 1.33607i
\(391\) 0.454434 3.74260i 0.0229817 0.189272i
\(392\) 3.73959 3.05328i 0.188878 0.154214i
\(393\) −0.894064 4.37941i −0.0450996 0.220912i
\(394\) 4.01854 + 13.8736i 0.202451 + 0.698942i
\(395\) −4.75977 19.3111i −0.239490 0.971648i
\(396\) −0.0176611 + 0.218772i −0.000887503 + 0.0109937i
\(397\) 1.58195 + 9.73411i 0.0793956 + 0.488541i 0.996045 + 0.0888488i \(0.0283188\pi\)
−0.916650 + 0.399692i \(0.869117\pi\)
\(398\) −4.24469 + 4.79127i −0.212767 + 0.240164i
\(399\) 16.8274 12.6450i 0.842424 0.633041i
\(400\) −34.7860 42.6051i −1.73930 2.13025i
\(401\) 2.11827 13.0342i 0.105781 0.650898i −0.878963 0.476890i \(-0.841764\pi\)
0.984744 0.174008i \(-0.0556719\pi\)
\(402\) 10.0147 + 2.46841i 0.499489 + 0.123113i
\(403\) 22.0009 + 2.27395i 1.09594 + 0.113273i
\(404\) −21.2984 + 5.24957i −1.05963 + 0.261176i
\(405\) −0.324072 4.01435i −0.0161033 0.199475i
\(406\) 4.60193 1.53635i 0.228390 0.0762478i
\(407\) −0.485431 0.505387i −0.0240619 0.0250511i
\(408\) 1.69484i 0.0839071i
\(409\) −20.2717 + 19.4713i −1.00237 + 0.962793i −0.999308 0.0372025i \(-0.988155\pi\)
−0.00306574 + 0.999995i \(0.500976\pi\)
\(410\) 29.3130 + 23.9333i 1.44767 + 1.18198i
\(411\) −8.70336 + 16.5829i −0.429305 + 0.817973i
\(412\) −19.1149 + 3.10647i −0.941722 + 0.153045i
\(413\) 8.05540 5.09393i 0.396380 0.250656i
\(414\) 4.57511 2.17092i 0.224854 0.106695i
\(415\) −37.8596 + 54.8491i −1.85846 + 2.69244i
\(416\) 19.8397 11.9313i 0.972721 0.584980i
\(417\) −2.68778 3.89393i −0.131621 0.190686i
\(418\) −1.68325 0.971823i −0.0823303 0.0475334i
\(419\) 14.0047 + 29.5143i 0.684175 + 1.44187i 0.886584 + 0.462567i \(0.153071\pi\)
−0.202410 + 0.979301i \(0.564877\pi\)
\(420\) −16.5270 5.51751i −0.806433 0.269227i
\(421\) −2.63785 + 10.7022i −0.128561 + 0.521593i 0.870980 + 0.491318i \(0.163485\pi\)
−0.999542 + 0.0302755i \(0.990362\pi\)
\(422\) 17.5351 0.706639i 0.853593 0.0343986i
\(423\) 0.351322 0.0141578i 0.0170819 0.000688375i
\(424\) −2.53669 + 10.2918i −0.123193 + 0.499812i
\(425\) −14.4212 4.81451i −0.699531 0.233538i
\(426\) −11.6371 24.5247i −0.563821 1.18823i
\(427\) 41.9142 + 24.1992i 2.02837 + 1.17108i
\(428\) −1.76111 2.55141i −0.0851266 0.123327i
\(429\) −0.313036 + 0.515145i −0.0151135 + 0.0248715i
\(430\) −34.2581 + 49.6315i −1.65207 + 2.39344i
\(431\) 8.44018 4.00492i 0.406549 0.192910i −0.214426 0.976740i \(-0.568788\pi\)
0.620975 + 0.783830i \(0.286737\pi\)
\(432\) −4.14325 + 2.62003i −0.199342 + 0.126056i
\(433\) −28.3964 + 4.61486i −1.36464 + 0.221776i −0.798234 0.602348i \(-0.794232\pi\)
−0.566410 + 0.824124i \(0.691668\pi\)
\(434\) −17.0994 + 32.5801i −0.820795 + 1.56390i
\(435\) 2.52338 + 2.06028i 0.120987 + 0.0987826i
\(436\) 12.6982 12.1968i 0.608132 0.584119i
\(437\) 17.7712i 0.850113i
\(438\) 4.05305 + 4.21967i 0.193662 + 0.201624i
\(439\) 29.3909 9.81213i 1.40275 0.468307i 0.488184 0.872741i \(-0.337659\pi\)
0.914567 + 0.404433i \(0.132531\pi\)
\(440\) −0.0677669 0.839444i −0.00323066 0.0400189i
\(441\) 3.74767 0.923717i 0.178460 0.0439865i
\(442\) 3.99143 7.94637i 0.189853 0.377970i
\(443\) −33.9087 8.35775i −1.61105 0.397089i −0.671914 0.740629i \(-0.734528\pi\)
−0.939138 + 0.343540i \(0.888374\pi\)
\(444\) −0.882679 + 5.43134i −0.0418901 + 0.257760i
\(445\) 2.94447 + 3.60632i 0.139581 + 0.170956i
\(446\) 28.9891 21.7839i 1.37268 1.03150i
\(447\) 11.0015 12.4182i 0.520354 0.587359i
\(448\) 0.995145 + 6.12337i 0.0470162 + 0.289302i
\(449\) 0.298206 3.69395i 0.0140732 0.174328i −0.985902 0.167322i \(-0.946488\pi\)
0.999975 0.00700574i \(-0.00223001\pi\)
\(450\) −4.88724 19.8283i −0.230387 0.934716i
\(451\) 0.240127 + 0.829014i 0.0113071 + 0.0390367i
\(452\) 1.69695 + 8.31222i 0.0798179 + 0.390974i
\(453\) −12.4421 + 10.1586i −0.584579 + 0.477294i
\(454\) 3.62648 29.8668i 0.170199 1.40172i
\(455\) −33.7593 33.9149i −1.58266 1.58995i
\(456\) −0.962972 7.93078i −0.0450953 0.371393i
\(457\) 6.52403 + 6.26641i 0.305181 + 0.293131i 0.829632 0.558310i \(-0.188550\pi\)
−0.524451 + 0.851440i \(0.675729\pi\)
\(458\) −27.9383 + 29.0868i −1.30547 + 1.35914i
\(459\) −0.580897 + 1.22421i −0.0271139 + 0.0571414i
\(460\) 12.1065 8.35649i 0.564467 0.389624i
\(461\) 9.92152 15.6896i 0.462091 0.730739i −0.531090 0.847315i \(-0.678218\pi\)
0.993182 + 0.116576i \(0.0371919\pi\)
\(462\) −0.602419 0.801674i −0.0280271 0.0372972i
\(463\) 11.0049 + 20.9681i 0.511442 + 0.974472i 0.995068 + 0.0991970i \(0.0316274\pi\)
−0.483625 + 0.875275i \(0.660680\pi\)
\(464\) 0.793138 3.88505i 0.0368205 0.180359i
\(465\) −24.6258 + 1.98800i −1.14200 + 0.0921915i
\(466\) −38.9301 11.2762i −1.80340 0.522362i
\(467\) 36.2734 + 19.0378i 1.67853 + 0.880962i 0.987402 + 0.158233i \(0.0505797\pi\)
0.691131 + 0.722729i \(0.257113\pi\)
\(468\) 4.71051 0.464981i 0.217743 0.0214938i
\(469\) −16.5358 + 8.67868i −0.763554 + 0.400744i
\(470\) 2.52531 0.515546i 0.116484 0.0237804i
\(471\) 16.9214 + 12.7156i 0.779695 + 0.585903i
\(472\) −0.145658 3.61447i −0.00670446 0.166369i
\(473\) −1.28606 + 0.487739i −0.0591332 + 0.0224262i
\(474\) −8.63361 + 2.50075i −0.396555 + 0.114863i
\(475\) 70.2176 + 14.3350i 3.22181 + 0.657736i
\(476\) 3.88741 + 4.38797i 0.178179 + 0.201123i
\(477\) −5.35974 + 6.56449i −0.245406 + 0.300567i
\(478\) 1.38700 34.4181i 0.0634400 1.57425i
\(479\) 1.39909 + 4.19080i 0.0639262 + 0.191482i 0.975655 0.219310i \(-0.0703805\pi\)
−0.911729 + 0.410792i \(0.865252\pi\)
\(480\) −19.3563 + 17.1482i −0.883490 + 0.782704i
\(481\) −8.86179 + 12.2416i −0.404063 + 0.558171i
\(482\) 18.1015 + 16.0366i 0.824503 + 0.730446i
\(483\) −3.59385 + 8.43507i −0.163526 + 0.383809i
\(484\) 7.20210 12.4744i 0.327368 0.567018i
\(485\) 11.6707 + 20.2142i 0.529937 + 0.917879i
\(486\) −1.80684 + 0.219390i −0.0819600 + 0.00995175i
\(487\) −22.1804 10.5247i −1.00509 0.476922i −0.146296 0.989241i \(-0.546735\pi\)
−0.858795 + 0.512319i \(0.828787\pi\)
\(488\) 15.9084 9.18470i 0.720138 0.415772i
\(489\) −8.07412 5.57316i −0.365124 0.252027i
\(490\) 26.0298 11.0902i 1.17590 0.501006i
\(491\) 17.7351 + 2.88224i 0.800375 + 0.130074i 0.546823 0.837248i \(-0.315837\pi\)
0.253552 + 0.967322i \(0.418401\pi\)
\(492\) 4.07141 5.41807i 0.183554 0.244265i
\(493\) −0.388664 1.02482i −0.0175045 0.0461557i
\(494\) −14.1624 + 39.4518i −0.637197 + 1.77502i
\(495\) 0.238765 0.629572i 0.0107317 0.0282972i
\(496\) 16.0725 + 25.4166i 0.721675 + 1.14124i
\(497\) 45.2159 + 19.2647i 2.02821 + 0.864140i
\(498\) 25.4569 + 16.0979i 1.14075 + 0.721366i
\(499\) 20.6688 + 2.50964i 0.925261 + 0.112347i 0.569278 0.822145i \(-0.307223\pi\)
0.355983 + 0.934492i \(0.384146\pi\)
\(500\) −12.8905 30.2551i −0.576480 1.35305i
\(501\) 1.74783 5.23539i 0.0780874 0.233900i
\(502\) 0.863960 + 0.327657i 0.0385604 + 0.0146240i
\(503\) 36.3690 + 2.93601i 1.62161 + 0.130910i 0.857609 0.514302i \(-0.171949\pi\)
0.764004 + 0.645212i \(0.223231\pi\)
\(504\) 1.14676 3.95907i 0.0510806 0.176351i
\(505\) 67.2396 + 2.70966i 2.99212 + 0.120578i
\(506\) 0.846638 0.0376376
\(507\) 12.1339 + 4.66571i 0.538885 + 0.207211i
\(508\) 20.1538 0.894182
\(509\) 0.0473149 + 0.00190672i 0.00209719 + 8.45141e-5i 0.0413145 0.999146i \(-0.486845\pi\)
−0.0392173 + 0.999231i \(0.512486\pi\)
\(510\) −2.76351 + 9.54076i −0.122370 + 0.422472i
\(511\) −10.5590 0.852412i −0.467104 0.0377085i
\(512\) 17.9649 + 6.81320i 0.793946 + 0.301104i
\(513\) 2.02266 6.05860i 0.0893026 0.267494i
\(514\) −1.17594 2.76003i −0.0518685 0.121740i
\(515\) 58.9764 + 7.16103i 2.59881 + 0.315553i
\(516\) 9.12846 + 5.77249i 0.401858 + 0.254120i
\(517\) 0.0540799 + 0.0230413i 0.00237843 + 0.00101336i
\(518\) −13.4368 21.2486i −0.590379 0.933610i
\(519\) 0.674462 1.77841i 0.0296056 0.0780635i
\(520\) −17.5543 + 4.66043i −0.769807 + 0.204373i
\(521\) −11.3833 30.0152i −0.498710 1.31499i −0.914153 0.405370i \(-0.867143\pi\)
0.415443 0.909619i \(-0.363627\pi\)
\(522\) 0.884428 1.17696i 0.0387104 0.0515142i
\(523\) −3.01497 0.489980i −0.131835 0.0214253i 0.0941355 0.995559i \(-0.469991\pi\)
−0.225971 + 0.974134i \(0.572555\pi\)
\(524\) −5.39837 + 2.30003i −0.235829 + 0.100477i
\(525\) 30.4297 + 21.0041i 1.32806 + 0.916693i
\(526\) 2.17669 1.25671i 0.0949084 0.0547954i
\(527\) 7.50988 + 3.56348i 0.327136 + 0.155228i
\(528\) −0.813597 + 0.0987885i −0.0354072 + 0.00429922i
\(529\) 7.62949 + 13.2147i 0.331717 + 0.574551i
\(530\) −31.0610 + 53.7992i −1.34920 + 2.33689i
\(531\) 1.13363 2.66072i 0.0491952 0.115465i
\(532\) −20.6838 18.3242i −0.896755 0.794455i
\(533\) 16.6713 8.27816i 0.722115 0.358567i
\(534\) 1.57491 1.39525i 0.0681529 0.0603782i
\(535\) 3.01174 + 9.02128i 0.130209 + 0.390024i
\(536\) −0.285405 + 7.08225i −0.0123276 + 0.305907i
\(537\) −0.0163901 + 0.0200742i −0.000707283 + 0.000866264i
\(538\) 5.33903 + 6.02652i 0.230182 + 0.259822i
\(539\) 0.632269 + 0.129079i 0.0272338 + 0.00555981i
\(540\) −5.07847 + 1.47100i −0.218543 + 0.0633016i
\(541\) 26.0458 9.87786i 1.11980 0.424683i 0.275898 0.961187i \(-0.411025\pi\)
0.843898 + 0.536504i \(0.180255\pi\)
\(542\) 2.22331 + 55.1709i 0.0954993 + 2.36979i
\(543\) 15.2298 + 11.4445i 0.653574 + 0.491129i
\(544\) 8.52481 1.74035i 0.365498 0.0746170i
\(545\) −47.8273 + 25.1017i −2.04869 + 1.07524i
\(546\) −14.7004 + 15.8617i −0.629120 + 0.678816i
\(547\) −26.1274 13.7127i −1.11713 0.586314i −0.197972 0.980208i \(-0.563435\pi\)
−0.919156 + 0.393894i \(0.871128\pi\)
\(548\) 23.6156 + 6.84036i 1.00881 + 0.292206i
\(549\) 14.6389 1.18177i 0.624773 0.0504369i
\(550\) 0.682934 3.34523i 0.0291204 0.142641i
\(551\) 2.40098 + 4.57469i 0.102285 + 0.194888i
\(552\) 2.09056 + 2.78203i 0.0889802 + 0.118411i
\(553\) 8.69801 13.7548i 0.369877 0.584914i
\(554\) 1.63526 1.12874i 0.0694755 0.0479555i
\(555\) 7.23666 15.2509i 0.307179 0.647366i
\(556\) −4.30287 + 4.47976i −0.182482 + 0.189984i
\(557\) 2.95238 + 2.83580i 0.125096 + 0.120157i 0.752662 0.658407i \(-0.228769\pi\)
−0.627566 + 0.778563i \(0.715949\pi\)
\(558\) 1.34584 + 11.0840i 0.0569739 + 0.469222i
\(559\) 15.2873 + 25.4202i 0.646585 + 1.07516i
\(560\) 7.84230 64.5871i 0.331398 2.72930i
\(561\) −0.175483 + 0.143277i −0.00740888 + 0.00604916i
\(562\) 7.60457 + 37.2496i 0.320779 + 1.57128i
\(563\) 12.7177 + 43.9067i 0.535988 + 1.85045i 0.525983 + 0.850495i \(0.323698\pi\)
0.0100051 + 0.999950i \(0.496815\pi\)
\(564\) −0.110466 0.448180i −0.00465147 0.0188718i
\(565\) 2.09423 25.9416i 0.0881048 1.09137i
\(566\) 3.13525 + 19.2920i 0.131784 + 0.810902i
\(567\) 2.18527 2.46666i 0.0917728 0.103590i
\(568\) 14.9130 11.2064i 0.625735 0.470209i
\(569\) 2.13481 + 2.61467i 0.0894959 + 0.109613i 0.817412 0.576054i \(-0.195408\pi\)
−0.727916 + 0.685667i \(0.759511\pi\)
\(570\) 7.51065 46.2149i 0.314587 1.93573i
\(571\) 16.3328 + 4.02567i 0.683506 + 0.168469i 0.565754 0.824574i \(-0.308585\pi\)
0.117752 + 0.993043i \(0.462431\pi\)
\(572\) 0.744822 + 0.267376i 0.0311426 + 0.0111796i
\(573\) −8.13093 + 2.00409i −0.339674 + 0.0837222i
\(574\) 2.49161 + 30.8642i 0.103998 + 1.28825i
\(575\) −29.6106 + 9.88547i −1.23485 + 0.412253i
\(576\) 1.30407 + 1.35768i 0.0543362 + 0.0565699i
\(577\) 11.8200i 0.492072i 0.969261 + 0.246036i \(0.0791282\pi\)
−0.969261 + 0.246036i \(0.920872\pi\)
\(578\) −19.9051 + 19.1191i −0.827944 + 0.795251i
\(579\) −3.81635 3.11595i −0.158602 0.129494i
\(580\) 1.98746 3.78679i 0.0825247 0.157238i
\(581\) −53.8274 + 8.74780i −2.23314 + 0.362920i
\(582\) 8.91563 5.63790i 0.369565 0.233699i
\(583\) −1.28005 + 0.607390i −0.0530141 + 0.0251555i
\(584\) −2.28400 + 3.30895i −0.0945127 + 0.136925i
\(585\) −14.2771 2.65032i −0.590286 0.109577i
\(586\) −27.0423 39.1775i −1.11711 1.61841i
\(587\) 3.53034 + 2.03824i 0.145713 + 0.0841273i 0.571084 0.820892i \(-0.306523\pi\)
−0.425371 + 0.905019i \(0.639856\pi\)
\(588\) −2.17228 4.57798i −0.0895832 0.188793i
\(589\) −37.1662 12.4079i −1.53141 0.511259i
\(590\) 5.07360 20.5844i 0.208877 0.847447i
\(591\) −7.92927 + 0.319539i −0.326167 + 0.0131441i
\(592\) −20.5305 + 0.827353i −0.843800 + 0.0340040i
\(593\) 10.1738 41.2768i 0.417788 1.69503i −0.264860 0.964287i \(-0.585326\pi\)
0.682648 0.730747i \(-0.260828\pi\)
\(594\) −0.288638 0.0963614i −0.0118429 0.00395375i
\(595\) −7.70968 16.2478i −0.316066 0.666095i
\(596\) −18.8621 10.8901i −0.772624 0.446075i
\(597\) −1.99780 2.89431i −0.0817645 0.118456i
\(598\) −3.24991 17.9671i −0.132899 0.734729i
\(599\) 4.11798 5.96593i 0.168256 0.243761i −0.729781 0.683681i \(-0.760378\pi\)
0.898037 + 0.439920i \(0.144993\pi\)
\(600\) 12.6787 6.01611i 0.517605 0.245607i
\(601\) 18.5774 11.7476i 0.757787 0.479195i −0.0988583 0.995102i \(-0.531519\pi\)
0.856645 + 0.515906i \(0.172545\pi\)
\(602\) −48.7069 + 7.91565i −1.98515 + 0.322618i
\(603\) −2.63355 + 5.01782i −0.107247 + 0.204341i
\(604\) 16.3340 + 13.3363i 0.664623 + 0.542648i
\(605\) −31.8692 + 30.6108i −1.29567 + 1.24450i
\(606\) 30.4123i 1.23542i
\(607\) −20.9658 21.8277i −0.850974 0.885957i 0.143638 0.989630i \(-0.454120\pi\)
−0.994611 + 0.103673i \(0.966940\pi\)
\(608\) −38.9019 + 12.9874i −1.57768 + 0.526707i
\(609\) 0.214488 + 2.65691i 0.00869150 + 0.107664i
\(610\) 104.529 25.7641i 4.23225 1.04316i
\(611\) 0.281384 1.23612i 0.0113836 0.0500079i
\(612\) 1.72722 + 0.425722i 0.0698188 + 0.0172088i
\(613\) −1.86468 + 11.4738i −0.0753138 + 0.463424i 0.921811 + 0.387641i \(0.126710\pi\)
−0.997124 + 0.0757835i \(0.975854\pi\)
\(614\) −21.2330 26.0058i −0.856896 1.04951i
\(615\) −16.6215 + 12.4902i −0.670242 + 0.503654i
\(616\) 0.456964 0.515805i 0.0184116 0.0207824i
\(617\) −0.766957 4.71928i −0.0308765 0.189991i 0.967030 0.254662i \(-0.0819643\pi\)
−0.997907 + 0.0646712i \(0.979400\pi\)
\(618\) 2.16045 26.7620i 0.0869060 1.07652i
\(619\) −4.98635 20.2304i −0.200418 0.813130i −0.981931 0.189240i \(-0.939398\pi\)
0.781512 0.623890i \(-0.214449\pi\)
\(620\) 9.02376 + 31.1536i 0.362403 + 1.25116i
\(621\) 0.556525 + 2.72604i 0.0223326 + 0.109392i
\(622\) −23.5292 + 19.2110i −0.943433 + 0.770289i
\(623\) −0.459187 + 3.78174i −0.0183969 + 0.151512i
\(624\) 5.21954 + 16.8867i 0.208949 + 0.676009i
\(625\) 5.39873 + 44.4625i 0.215949 + 1.77850i
\(626\) −4.05127 3.89130i −0.161921 0.155528i
\(627\) 0.739741 0.770152i 0.0295424 0.0307569i
\(628\) 11.9123 25.1046i 0.475352 1.00178i
\(629\) −4.67424 + 3.22639i −0.186374 + 0.128645i
\(630\) 12.9109 20.4169i 0.514381 0.813429i
\(631\) 5.97850 + 7.95594i 0.238000 + 0.316721i 0.902601 0.430477i \(-0.141655\pi\)
−0.664601 + 0.747199i \(0.731398\pi\)
\(632\) −2.87051 5.46929i −0.114183 0.217557i
\(633\) −1.92862 + 9.44701i −0.0766558 + 0.375485i
\(634\) −9.31979 + 0.752371i −0.370136 + 0.0298805i
\(635\) −59.3865 17.2015i −2.35668 0.682621i
\(636\) 9.85121 + 5.17031i 0.390626 + 0.205016i
\(637\) 0.312234 13.9133i 0.0123712 0.551265i
\(638\) 0.217943 0.114385i 0.00862843 0.00452855i
\(639\) 14.6128 2.98323i 0.578075 0.118015i
\(640\) −30.3148 22.7801i −1.19830 0.900464i
\(641\) −1.08696 26.9727i −0.0429324 1.06536i −0.866826 0.498611i \(-0.833844\pi\)
0.823893 0.566745i \(-0.191797\pi\)
\(642\) 4.01888 1.52416i 0.158613 0.0601538i
\(643\) −23.2743 + 6.74149i −0.917850 + 0.265858i −0.703332 0.710862i \(-0.748305\pi\)
−0.214518 + 0.976720i \(0.568818\pi\)
\(644\) 11.7936 + 2.40767i 0.464732 + 0.0948756i
\(645\) −21.9716 24.8008i −0.865131 0.976531i
\(646\) −9.96306 + 12.2025i −0.391991 + 0.480102i
\(647\) 1.52636 37.8762i 0.0600074 1.48907i −0.636365 0.771388i \(-0.719563\pi\)
0.696373 0.717680i \(-0.254796\pi\)
\(648\) −0.396077 1.18640i −0.0155594 0.0466060i
\(649\) 0.361926 0.320639i 0.0142068 0.0125862i
\(650\) −73.6131 1.65198i −2.88734 0.0647961i
\(651\) −15.1316 13.4054i −0.593055 0.525401i
\(652\) −5.04841 + 11.8491i −0.197711 + 0.464045i
\(653\) 15.7966 27.3605i 0.618168 1.07070i −0.371652 0.928372i \(-0.621209\pi\)
0.989820 0.142326i \(-0.0454582\pi\)
\(654\) 12.2054 + 21.1403i 0.477267 + 0.826651i
\(655\) 17.8702 2.16984i 0.698248 0.0847827i
\(656\) 22.8637 + 10.8490i 0.892678 + 0.423581i
\(657\) −2.78390 + 1.60728i −0.108610 + 0.0627062i
\(658\) 1.73564 + 1.19802i 0.0676621 + 0.0467038i
\(659\) −9.23467 + 3.93452i −0.359732 + 0.153267i −0.564268 0.825592i \(-0.690842\pi\)
0.204536 + 0.978859i \(0.434431\pi\)
\(660\) −0.872504 0.141796i −0.0339622 0.00551939i
\(661\) 6.97482 9.28180i 0.271289 0.361020i −0.643152 0.765738i \(-0.722374\pi\)
0.914442 + 0.404718i \(0.132630\pi\)
\(662\) −9.13471 24.0863i −0.355031 0.936139i
\(663\) 3.71419 + 3.17405i 0.144247 + 0.123270i
\(664\) −7.33961 + 19.3530i −0.284832 + 0.751040i
\(665\) 45.3081 + 71.6490i 1.75697 + 2.77843i
\(666\) −7.01847 2.99029i −0.271960 0.115871i
\(667\) −1.90208 1.20280i −0.0736490 0.0465728i
\(668\) −7.19314 0.873406i −0.278311 0.0337931i
\(669\) 7.80906 + 18.3285i 0.301916 + 0.708622i
\(670\) −13.1546 + 39.4027i −0.508205 + 1.52226i
\(671\) 2.29582 + 0.870692i 0.0886293 + 0.0336127i
\(672\) −21.0911 1.70265i −0.813607 0.0656811i
\(673\) −2.23108 + 7.70257i −0.0860017 + 0.296912i −0.991977 0.126418i \(-0.959652\pi\)
0.905975 + 0.423330i \(0.139139\pi\)
\(674\) −39.6511 1.59788i −1.52730 0.0615482i
\(675\) 11.2200 0.431859
\(676\) 2.81510 16.8327i 0.108273 0.647413i
\(677\) 35.0813 1.34828 0.674141 0.738603i \(-0.264514\pi\)
0.674141 + 0.738603i \(0.264514\pi\)
\(678\) −11.7524 0.473607i −0.451350 0.0181888i
\(679\) −5.31368 + 18.3450i −0.203920 + 0.704015i
\(680\) −6.80369 0.549250i −0.260909 0.0210628i
\(681\) 15.4557 + 5.86156i 0.592262 + 0.224615i
\(682\) −0.591124 + 1.77063i −0.0226353 + 0.0678011i
\(683\) −16.9282 39.7320i −0.647740 1.52030i −0.842072 0.539366i \(-0.818664\pi\)
0.194332 0.980936i \(-0.437746\pi\)
\(684\) −8.32419 1.01074i −0.318283 0.0386466i
\(685\) −63.7490 40.3124i −2.43572 1.54026i
\(686\) −17.3277 7.38265i −0.661575 0.281871i
\(687\) −11.8430 18.7282i −0.451838 0.714524i
\(688\) −14.3012 + 37.7092i −0.545229 + 1.43765i
\(689\) 17.8034 + 24.8332i 0.678257 + 0.946071i
\(690\) 7.23216 + 19.0696i 0.275323 + 0.725968i
\(691\) −15.9401 + 21.2124i −0.606390 + 0.806959i −0.993349 0.115138i \(-0.963269\pi\)
0.386959 + 0.922097i \(0.373525\pi\)
\(692\) −2.46464 0.400543i −0.0936915 0.0152264i
\(693\) 0.506863 0.215954i 0.0192541 0.00820341i
\(694\) 25.3594 + 17.5043i 0.962629 + 0.664455i
\(695\) 16.5026 9.52779i 0.625980 0.361410i
\(696\) 0.914021 + 0.433709i 0.0346459 + 0.0164397i
\(697\) 6.94433 0.843195i 0.263035 0.0319383i
\(698\) −16.2328 28.1161i −0.614421 1.06421i
\(699\) 11.1340 19.2847i 0.421127 0.729413i
\(700\) 19.0264 44.6566i 0.719130 1.68786i
\(701\) −19.7138 17.4649i −0.744580 0.659640i 0.202993 0.979180i \(-0.434933\pi\)
−0.947573 + 0.319540i \(0.896472\pi\)
\(702\) −0.936985 + 6.49527i −0.0353642 + 0.245148i
\(703\) 20.0393 17.7533i 0.755797 0.669578i
\(704\) 0.0996654 + 0.298534i 0.00375628 + 0.0112514i
\(705\) −0.0570192 + 1.41492i −0.00214747 + 0.0532889i
\(706\) 42.2418 51.7368i 1.58979 1.94714i
\(707\) 36.5138 + 41.2155i 1.37324 + 1.55007i
\(708\) −3.72011 0.759466i −0.139810 0.0285425i
\(709\) 13.0847 3.79003i 0.491406 0.142338i −0.0232578 0.999730i \(-0.507404\pi\)
0.514664 + 0.857392i \(0.327917\pi\)
\(710\) 102.222 38.7677i 3.83633 1.45493i
\(711\) −0.198850 4.93442i −0.00745747 0.185055i
\(712\) 1.15590 + 0.868605i 0.0433193 + 0.0325524i
\(713\) 16.7228 3.41398i 0.626272 0.127854i
\(714\) −7.19664 + 3.77709i −0.269327 + 0.141354i
\(715\) −1.96653 1.42358i −0.0735440 0.0532389i
\(716\) 0.0301249 + 0.0158108i 0.00112582 + 0.000590876i
\(717\) 18.1780 + 5.26533i 0.678871 + 0.196637i
\(718\) −20.8019 + 1.67930i −0.776320 + 0.0626710i
\(719\) 3.33111 16.3169i 0.124230 0.608517i −0.869237 0.494395i \(-0.835390\pi\)
0.993467 0.114122i \(-0.0364053\pi\)
\(720\) −9.17502 17.4815i −0.341933 0.651498i
\(721\) 29.2032 + 38.8624i 1.08758 + 1.44731i
\(722\) 21.2047 33.5325i 0.789156 1.24795i
\(723\) −10.9348 + 7.54775i −0.406670 + 0.280704i
\(724\) 10.7215 22.5950i 0.398460 0.839738i
\(725\) −6.28682 + 6.54527i −0.233487 + 0.243085i
\(726\) 14.4027 + 13.8340i 0.534533 + 0.513426i
\(727\) 1.87645 + 15.4540i 0.0695937 + 0.573156i 0.985241 + 0.171173i \(0.0547557\pi\)
−0.915647 + 0.401983i \(0.868321\pi\)
\(728\) −12.7004 7.71757i −0.470707 0.286032i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) −18.2527 + 14.9029i −0.675563 + 0.551580i
\(731\) 2.22988 + 10.9227i 0.0824750 + 0.403989i
\(732\) −5.36420 18.5194i −0.198267 0.684495i
\(733\) −5.83757 23.6839i −0.215615 0.874786i −0.974650 0.223736i \(-0.928175\pi\)
0.759034 0.651050i \(-0.225671\pi\)
\(734\) −2.28326 + 28.2833i −0.0842768 + 1.04396i
\(735\) 2.49361 + 15.3438i 0.0919782 + 0.565965i
\(736\) 11.8465 13.3720i 0.436669 0.492897i
\(737\) −0.757418 + 0.569163i −0.0278999 + 0.0209654i
\(738\) 5.94260 + 7.27837i 0.218750 + 0.267920i
\(739\) −5.36998 + 33.0428i −0.197538 + 1.21550i 0.678989 + 0.734148i \(0.262418\pi\)
−0.876527 + 0.481352i \(0.840146\pi\)
\(740\) −21.5173 5.30353i −0.790990 0.194962i
\(741\) −19.1835 12.7422i −0.704724 0.468098i
\(742\) −49.3542 + 12.1647i −1.81185 + 0.446580i
\(743\) −1.47992 18.3320i −0.0542928 0.672538i −0.965469 0.260520i \(-0.916106\pi\)
0.911176 0.412018i \(-0.135176\pi\)
\(744\) −7.27789 + 2.42972i −0.266820 + 0.0890778i
\(745\) 46.2856 + 48.1884i 1.69577 + 1.76549i
\(746\) 62.7863i 2.29877i
\(747\) −11.9346 + 11.4634i −0.436666 + 0.419423i
\(748\) 0.230375 + 0.188095i 0.00842335 + 0.00687745i
\(749\) −3.61654 + 6.89075i −0.132146 + 0.251783i
\(750\) 45.0046 7.31395i 1.64333 0.267068i
\(751\) −21.3259 + 13.4857i −0.778195 + 0.492101i −0.863558 0.504249i \(-0.831769\pi\)
0.0853632 + 0.996350i \(0.472795\pi\)
\(752\) 1.55721 0.738908i 0.0567858 0.0269452i
\(753\) −0.288386 + 0.417799i −0.0105094 + 0.0152255i
\(754\) −3.26404 4.18603i −0.118869 0.152446i
\(755\) −36.7482 53.2389i −1.33740 1.93756i
\(756\) −3.74665 2.16313i −0.136264 0.0786723i
\(757\) −16.1277 33.9885i −0.586172 1.23533i −0.952413 0.304811i \(-0.901407\pi\)
0.366241 0.930520i \(-0.380645\pi\)
\(758\) −55.0876 18.3910i −2.00087 0.667989i
\(759\) −0.111319 + 0.451640i −0.00404064 + 0.0163935i
\(760\) 32.1490 1.29556i 1.16617 0.0469950i
\(761\) 9.22727 0.371846i 0.334488 0.0134794i 0.127546 0.991833i \(-0.459290\pi\)
0.206942 + 0.978353i \(0.433649\pi\)
\(762\) −6.68691 + 27.1299i −0.242241 + 0.982812i
\(763\) −41.9226 13.9958i −1.51770 0.506682i
\(764\) 4.71297 + 9.93237i 0.170509 + 0.359340i
\(765\) −4.72617 2.72866i −0.170875 0.0986548i
\(766\) 14.3664 + 20.8134i 0.519081 + 0.752018i
\(767\) −8.19379 6.44988i −0.295861 0.232892i
\(768\) −11.8738 + 17.2022i −0.428460 + 0.620732i
\(769\) −15.4850 + 7.34772i −0.558403 + 0.264966i −0.686909 0.726743i \(-0.741033\pi\)
0.128506 + 0.991709i \(0.458982\pi\)
\(770\) 3.41343 2.15852i 0.123011 0.0777877i
\(771\) 1.62696 0.264407i 0.0585936 0.00952239i
\(772\) −3.00582 + 5.72712i −0.108182 + 0.206123i
\(773\) 14.2849 + 11.6632i