Properties

Label 576.2.bm.a.205.67
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.67
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.67

$q$-expansion

\(f(q)\) \(=\) \(q+(0.834872 - 1.14149i) q^{2} +(1.36695 + 1.06370i) q^{3} +(-0.605976 - 1.90599i) q^{4} +(-2.87207 - 3.27497i) q^{5} +(2.35542 - 0.672302i) q^{6} +(-1.46065 - 0.192298i) q^{7} +(-2.68157 - 0.899544i) q^{8} +(0.737100 + 2.90804i) q^{9} +O(q^{10})\) \(q+(0.834872 - 1.14149i) q^{2} +(1.36695 + 1.06370i) q^{3} +(-0.605976 - 1.90599i) q^{4} +(-2.87207 - 3.27497i) q^{5} +(2.35542 - 0.672302i) q^{6} +(-1.46065 - 0.192298i) q^{7} +(-2.68157 - 0.899544i) q^{8} +(0.737100 + 2.90804i) q^{9} +(-6.13615 + 0.544246i) q^{10} +(0.246333 + 0.499513i) q^{11} +(1.19905 - 3.24996i) q^{12} +(-0.289120 - 0.851719i) q^{13} +(-1.43896 + 1.50676i) q^{14} +(-0.442403 - 7.53173i) q^{15} +(-3.26559 + 2.30997i) q^{16} +(-3.35029 - 3.35029i) q^{17} +(3.93487 + 1.58645i) q^{18} +(0.884793 - 4.44815i) q^{19} +(-4.50165 + 7.45870i) q^{20} +(-1.79208 - 1.81655i) q^{21} +(0.775844 + 0.135845i) q^{22} +(-0.887006 - 6.73748i) q^{23} +(-2.70873 - 4.08201i) q^{24} +(-1.82401 + 13.8547i) q^{25} +(-1.21360 - 0.381051i) q^{26} +(-2.08569 + 4.75919i) q^{27} +(0.518600 + 2.90051i) q^{28} +(7.68288 - 0.503562i) q^{29} +(-8.96671 - 5.78304i) q^{30} +(3.00431 - 1.73454i) q^{31} +(-0.0895519 + 5.65615i) q^{32} +(-0.194606 + 0.944833i) q^{33} +(-6.62138 + 1.02724i) q^{34} +(3.56532 + 5.33587i) q^{35} +(5.09602 - 3.16711i) q^{36} +(1.35853 + 6.82981i) q^{37} +(-4.33881 - 4.72362i) q^{38} +(0.510758 - 1.47179i) q^{39} +(4.75569 + 11.3656i) q^{40} +(-0.158992 - 1.20767i) q^{41} +(-3.56972 + 0.529053i) q^{42} +(3.79795 - 1.87294i) q^{43} +(0.802795 - 0.772201i) q^{44} +(7.40674 - 10.7661i) q^{45} +(-8.43127 - 4.61243i) q^{46} +(1.24697 - 0.334124i) q^{47} +(-6.92099 - 0.315981i) q^{48} +(-4.66497 - 1.24997i) q^{49} +(14.2921 + 13.6490i) q^{50} +(-1.01599 - 8.14338i) q^{51} +(-1.44817 + 1.06718i) q^{52} +(3.29647 - 4.93351i) q^{53} +(3.69126 + 6.35410i) q^{54} +(0.928407 - 2.24137i) q^{55} +(3.74385 + 1.82958i) q^{56} +(5.94095 - 5.13925i) q^{57} +(5.83941 - 9.19030i) q^{58} +(-5.51595 - 6.28973i) q^{59} +(-14.0873 + 5.40727i) q^{60} +(-0.298404 - 4.55276i) q^{61} +(0.528265 - 4.87750i) q^{62} +(-0.517434 - 4.38936i) q^{63} +(6.38164 + 4.82438i) q^{64} +(-1.95898 + 3.39306i) q^{65} +(0.916041 + 1.01095i) q^{66} +(12.5950 + 6.21116i) q^{67} +(-4.35542 + 8.41582i) q^{68} +(5.95414 - 10.1533i) q^{69} +(9.06740 + 0.385017i) q^{70} +(-1.49292 - 3.60422i) q^{71} +(0.639322 - 8.46116i) q^{72} +(0.463210 - 1.11829i) q^{73} +(8.93032 + 4.15127i) q^{74} +(-17.2305 + 16.9985i) q^{75} +(-9.01429 + 1.00907i) q^{76} +(-0.263750 - 0.776982i) q^{77} +(-1.25361 - 1.81178i) q^{78} +(-1.87091 - 6.98232i) q^{79} +(16.9441 + 4.06030i) q^{80} +(-7.91337 + 4.28703i) q^{81} +(-1.51127 - 0.826760i) q^{82} +(3.79625 + 3.32922i) q^{83} +(-2.37636 + 4.51648i) q^{84} +(-1.34983 + 20.5944i) q^{85} +(1.03287 - 5.89897i) q^{86} +(11.0377 + 7.48390i) q^{87} +(-0.211224 - 1.56107i) q^{88} +(11.6861 - 4.84053i) q^{89} +(-6.10564 - 17.4430i) q^{90} +(0.258518 + 1.29966i) q^{91} +(-12.3041 + 5.77338i) q^{92} +(5.95177 + 0.824647i) q^{93} +(0.659662 - 1.70235i) q^{94} +(-17.1088 + 9.87775i) q^{95} +(-6.13883 + 7.63641i) q^{96} +(16.6130 + 9.59151i) q^{97} +(-5.32148 + 4.28142i) q^{98} +(-1.27103 + 1.08454i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.834872 1.14149i 0.590344 0.807152i
\(3\) 1.36695 + 1.06370i 0.789208 + 0.614125i
\(4\) −0.605976 1.90599i −0.302988 0.952994i
\(5\) −2.87207 3.27497i −1.28443 1.46461i −0.812483 0.582985i \(-0.801884\pi\)
−0.471948 0.881627i \(-0.656449\pi\)
\(6\) 2.35542 0.672302i 0.961597 0.274466i
\(7\) −1.46065 0.192298i −0.552073 0.0726818i −0.150671 0.988584i \(-0.548143\pi\)
−0.401402 + 0.915902i \(0.631477\pi\)
\(8\) −2.68157 0.899544i −0.948078 0.318037i
\(9\) 0.737100 + 2.90804i 0.245700 + 0.969346i
\(10\) −6.13615 + 0.544246i −1.94042 + 0.172106i
\(11\) 0.246333 + 0.499513i 0.0742721 + 0.150609i 0.930842 0.365422i \(-0.119075\pi\)
−0.856570 + 0.516031i \(0.827409\pi\)
\(12\) 1.19905 3.24996i 0.346137 0.938184i
\(13\) −0.289120 0.851719i −0.0801873 0.236224i 0.899441 0.437041i \(-0.143974\pi\)
−0.979629 + 0.200817i \(0.935640\pi\)
\(14\) −1.43896 + 1.50676i −0.384578 + 0.402699i
\(15\) −0.442403 7.53173i −0.114228 1.94469i
\(16\) −3.26559 + 2.30997i −0.816396 + 0.577492i
\(17\) −3.35029 3.35029i −0.812566 0.812566i 0.172452 0.985018i \(-0.444831\pi\)
−0.985018 + 0.172452i \(0.944831\pi\)
\(18\) 3.93487 + 1.58645i 0.927457 + 0.373930i
\(19\) 0.884793 4.44815i 0.202985 1.02048i −0.736121 0.676850i \(-0.763345\pi\)
0.939106 0.343626i \(-0.111655\pi\)
\(20\) −4.50165 + 7.45870i −1.00660 + 1.66781i
\(21\) −1.79208 1.81655i −0.391065 0.396403i
\(22\) 0.775844 + 0.135845i 0.165410 + 0.0289622i
\(23\) −0.887006 6.73748i −0.184954 1.40486i −0.792158 0.610316i \(-0.791042\pi\)
0.607205 0.794546i \(-0.292291\pi\)
\(24\) −2.70873 4.08201i −0.552917 0.833236i
\(25\) −1.82401 + 13.8547i −0.364801 + 2.77094i
\(26\) −1.21360 0.381051i −0.238007 0.0747302i
\(27\) −2.08569 + 4.75919i −0.401391 + 0.915907i
\(28\) 0.518600 + 2.90051i 0.0980063 + 0.548144i
\(29\) 7.68288 0.503562i 1.42667 0.0935092i 0.667603 0.744517i \(-0.267320\pi\)
0.759071 + 0.651008i \(0.225654\pi\)
\(30\) −8.96671 5.78304i −1.63709 1.05583i
\(31\) 3.00431 1.73454i 0.539590 0.311533i −0.205322 0.978694i \(-0.565824\pi\)
0.744913 + 0.667162i \(0.232491\pi\)
\(32\) −0.0895519 + 5.65615i −0.0158307 + 0.999875i
\(33\) −0.194606 + 0.944833i −0.0338766 + 0.164474i
\(34\) −6.62138 + 1.02724i −1.13556 + 0.176171i
\(35\) 3.56532 + 5.33587i 0.602648 + 0.901927i
\(36\) 5.09602 3.16711i 0.849337 0.527851i
\(37\) 1.35853 + 6.82981i 0.223341 + 1.12281i 0.915886 + 0.401438i \(0.131490\pi\)
−0.692545 + 0.721375i \(0.743510\pi\)
\(38\) −4.33881 4.72362i −0.703848 0.766272i
\(39\) 0.510758 1.47179i 0.0817868 0.235675i
\(40\) 4.75569 + 11.3656i 0.751940 + 1.79706i
\(41\) −0.158992 1.20767i −0.0248304 0.188606i 0.974535 0.224237i \(-0.0719891\pi\)
−0.999365 + 0.0356314i \(0.988656\pi\)
\(42\) −3.56972 + 0.529053i −0.550820 + 0.0816346i
\(43\) 3.79795 1.87294i 0.579182 0.285621i −0.129007 0.991644i \(-0.541179\pi\)
0.708189 + 0.706023i \(0.249512\pi\)
\(44\) 0.802795 0.772201i 0.121026 0.116414i
\(45\) 7.40674 10.7661i 1.10413 1.60491i
\(46\) −8.43127 4.61243i −1.24312 0.680066i
\(47\) 1.24697 0.334124i 0.181889 0.0487370i −0.166725 0.986003i \(-0.553319\pi\)
0.348614 + 0.937266i \(0.386652\pi\)
\(48\) −6.92099 0.315981i −0.998959 0.0456080i
\(49\) −4.66497 1.24997i −0.666424 0.178568i
\(50\) 14.2921 + 13.6490i 2.02121 + 1.93026i
\(51\) −1.01599 8.14338i −0.142267 1.14030i
\(52\) −1.44817 + 1.06718i −0.200825 + 0.147991i
\(53\) 3.29647 4.93351i 0.452805 0.677670i −0.532895 0.846181i \(-0.678896\pi\)
0.985700 + 0.168511i \(0.0538960\pi\)
\(54\) 3.69126 + 6.35410i 0.502317 + 0.864684i
\(55\) 0.928407 2.24137i 0.125186 0.302227i
\(56\) 3.74385 + 1.82958i 0.500293 + 0.244488i
\(57\) 5.94095 5.13925i 0.786898 0.680710i
\(58\) 5.83941 9.19030i 0.766752 1.20675i
\(59\) −5.51595 6.28973i −0.718115 0.818853i 0.271524 0.962432i \(-0.412472\pi\)
−0.989639 + 0.143579i \(0.954139\pi\)
\(60\) −14.0873 + 5.40727i −1.81866 + 0.698075i
\(61\) −0.298404 4.55276i −0.0382067 0.582921i −0.973448 0.228909i \(-0.926484\pi\)
0.935241 0.354011i \(-0.115183\pi\)
\(62\) 0.528265 4.87750i 0.0670897 0.619443i
\(63\) −0.517434 4.38936i −0.0651906 0.553007i
\(64\) 6.38164 + 4.82438i 0.797705 + 0.603048i
\(65\) −1.95898 + 3.39306i −0.242982 + 0.420857i
\(66\) 0.916041 + 1.01095i 0.112757 + 0.124440i
\(67\) 12.5950 + 6.21116i 1.53872 + 0.758814i 0.996671 0.0815318i \(-0.0259812\pi\)
0.542051 + 0.840345i \(0.317648\pi\)
\(68\) −4.35542 + 8.41582i −0.528173 + 1.02057i
\(69\) 5.95414 10.1533i 0.716794 1.22231i
\(70\) 9.06740 + 0.385017i 1.08376 + 0.0460183i
\(71\) −1.49292 3.60422i −0.177177 0.427742i 0.810196 0.586160i \(-0.199361\pi\)
−0.987372 + 0.158417i \(0.949361\pi\)
\(72\) 0.639322 8.46116i 0.0753448 0.997158i
\(73\) 0.463210 1.11829i 0.0542146 0.130886i −0.894451 0.447165i \(-0.852434\pi\)
0.948666 + 0.316279i \(0.102434\pi\)
\(74\) 8.93032 + 4.15127i 1.03813 + 0.482576i
\(75\) −17.2305 + 16.9985i −1.98961 + 1.96282i
\(76\) −9.01429 + 1.00907i −1.03401 + 0.115748i
\(77\) −0.263750 0.776982i −0.0300571 0.0885454i
\(78\) −1.25361 1.81178i −0.141943 0.205144i
\(79\) −1.87091 6.98232i −0.210494 0.785572i −0.987704 0.156332i \(-0.950033\pi\)
0.777211 0.629240i \(-0.216634\pi\)
\(80\) 16.9441 + 4.06030i 1.89441 + 0.453955i
\(81\) −7.91337 + 4.28703i −0.879263 + 0.476337i
\(82\) −1.51127 0.826760i −0.166892 0.0913004i
\(83\) 3.79625 + 3.32922i 0.416692 + 0.365429i 0.841870 0.539681i \(-0.181455\pi\)
−0.425178 + 0.905110i \(0.639788\pi\)
\(84\) −2.37636 + 4.51648i −0.259282 + 0.492788i
\(85\) −1.34983 + 20.5944i −0.146410 + 2.23378i
\(86\) 1.03287 5.89897i 0.111377 0.636102i
\(87\) 11.0377 + 7.48390i 1.18337 + 0.802359i
\(88\) −0.211224 1.56107i −0.0225166 0.166410i
\(89\) 11.6861 4.84053i 1.23872 0.513096i 0.335407 0.942073i \(-0.391126\pi\)
0.903315 + 0.428978i \(0.141126\pi\)
\(90\) −6.10564 17.4430i −0.643591 1.83865i
\(91\) 0.258518 + 1.29966i 0.0271001 + 0.136241i
\(92\) −12.3041 + 5.77338i −1.28279 + 0.601916i
\(93\) 5.95177 + 0.824647i 0.617169 + 0.0855119i
\(94\) 0.659662 1.70235i 0.0680389 0.175584i
\(95\) −17.1088 + 9.87775i −1.75532 + 1.01344i
\(96\) −6.13883 + 7.63641i −0.626542 + 0.779388i
\(97\) 16.6130 + 9.59151i 1.68679 + 0.973871i 0.956948 + 0.290258i \(0.0937412\pi\)
0.729845 + 0.683612i \(0.239592\pi\)
\(98\) −5.32148 + 4.28142i −0.537551 + 0.432489i
\(99\) −1.27103 + 1.08454i −0.127744 + 0.109000i
\(100\) 27.5122 4.91909i 2.75122 0.491909i
\(101\) −2.99092 1.01528i −0.297608 0.101024i 0.168642 0.985677i \(-0.446062\pi\)
−0.466250 + 0.884653i \(0.654395\pi\)
\(102\) −10.1438 5.63895i −1.00438 0.558339i
\(103\) −7.97094 6.11632i −0.785400 0.602659i 0.136253 0.990674i \(-0.456494\pi\)
−0.921653 + 0.388015i \(0.873161\pi\)
\(104\) 0.00913602 + 2.54402i 0.000895861 + 0.249462i
\(105\) −0.802142 + 11.0863i −0.0782811 + 1.08191i
\(106\) −2.87940 7.88172i −0.279672 0.765540i
\(107\) 11.0801 + 7.40348i 1.07115 + 0.715721i 0.960540 0.278143i \(-0.0897188\pi\)
0.110612 + 0.993864i \(0.464719\pi\)
\(108\) 10.3348 + 1.09134i 0.994471 + 0.105015i
\(109\) −1.87906 + 9.44668i −0.179981 + 0.904828i 0.780217 + 0.625509i \(0.215109\pi\)
−0.960198 + 0.279319i \(0.909891\pi\)
\(110\) −1.78339 2.93102i −0.170040 0.279462i
\(111\) −5.40780 + 10.7811i −0.513285 + 1.02329i
\(112\) 5.21407 2.74608i 0.492683 0.259481i
\(113\) −5.57467 1.49373i −0.524421 0.140518i −0.0131102 0.999914i \(-0.504173\pi\)
−0.511311 + 0.859396i \(0.670840\pi\)
\(114\) −0.906440 11.0721i −0.0848959 1.03700i
\(115\) −19.5175 + 22.2555i −1.82002 + 2.07533i
\(116\) −5.61543 14.3383i −0.521379 1.33128i
\(117\) 2.26372 1.46857i 0.209281 0.135770i
\(118\) −11.7847 + 1.04525i −1.08487 + 0.0962229i
\(119\) 4.24934 + 5.53785i 0.389537 + 0.507654i
\(120\) −5.58879 + 20.5948i −0.510185 + 1.88004i
\(121\) 6.50754 8.48079i 0.591595 0.770981i
\(122\) −5.44603 3.46035i −0.493061 0.313285i
\(123\) 1.06726 1.81994i 0.0962313 0.164098i
\(124\) −5.12656 4.67509i −0.460378 0.419836i
\(125\) 32.5032 21.7180i 2.90718 1.94251i
\(126\) −5.44238 3.07391i −0.484846 0.273846i
\(127\) −19.6898 −1.74718 −0.873592 0.486658i \(-0.838216\pi\)
−0.873592 + 0.486658i \(0.838216\pi\)
\(128\) 10.8348 3.25681i 0.957671 0.287864i
\(129\) 7.18385 + 1.47965i 0.632502 + 0.130276i
\(130\) 2.23762 + 5.06892i 0.196253 + 0.444574i
\(131\) −11.6776 5.75876i −1.02028 0.503145i −0.146367 0.989230i \(-0.546758\pi\)
−0.873912 + 0.486085i \(0.838425\pi\)
\(132\) 1.91877 0.201629i 0.167007 0.0175496i
\(133\) −2.14774 + 6.32704i −0.186233 + 0.548624i
\(134\) 17.6051 9.19146i 1.52085 0.794021i
\(135\) 21.5765 6.83817i 1.85701 0.588536i
\(136\) 5.97031 + 11.9978i 0.511950 + 1.02880i
\(137\) 1.22426 + 1.59549i 0.104596 + 0.136312i 0.842718 0.538355i \(-0.180954\pi\)
−0.738122 + 0.674667i \(0.764287\pi\)
\(138\) −6.61889 15.2733i −0.563437 1.30015i
\(139\) −16.6899 1.09391i −1.41562 0.0927845i −0.661708 0.749762i \(-0.730168\pi\)
−0.753910 + 0.656978i \(0.771835\pi\)
\(140\) 8.00962 10.0289i 0.676936 0.847594i
\(141\) 2.05995 + 0.869665i 0.173479 + 0.0732390i
\(142\) −5.36056 1.30492i −0.449848 0.109506i
\(143\) 0.354225 0.354225i 0.0296218 0.0296218i
\(144\) −9.12454 7.79377i −0.760378 0.649481i
\(145\) −23.7149 23.7149i −1.96942 1.96942i
\(146\) −0.889788 1.46237i −0.0736394 0.121027i
\(147\) −5.04718 6.67076i −0.416284 0.550195i
\(148\) 12.1943 6.72805i 1.00236 0.553042i
\(149\) −0.240900 + 3.67542i −0.0197353 + 0.301102i 0.976569 + 0.215205i \(0.0690421\pi\)
−0.996304 + 0.0858965i \(0.972625\pi\)
\(150\) 5.01823 + 33.8599i 0.409737 + 2.76465i
\(151\) −9.84873 + 7.55720i −0.801478 + 0.614996i −0.926130 0.377205i \(-0.876885\pi\)
0.124652 + 0.992201i \(0.460219\pi\)
\(152\) −6.37394 + 11.1321i −0.516995 + 0.902935i
\(153\) 7.27328 12.2123i 0.588010 0.987305i
\(154\) −1.10711 0.347614i −0.0892136 0.0280116i
\(155\) −14.3092 4.85731i −1.14934 0.390149i
\(156\) −3.11473 0.0816285i −0.249378 0.00653551i
\(157\) −5.15201 + 10.4472i −0.411175 + 0.833781i 0.588505 + 0.808494i \(0.299717\pi\)
−0.999680 + 0.0252875i \(0.991950\pi\)
\(158\) −9.53218 3.69373i −0.758340 0.293858i
\(159\) 9.75386 3.23742i 0.773532 0.256744i
\(160\) 18.7809 15.9516i 1.48476 1.26108i
\(161\) 10.0117i 0.789029i
\(162\) −1.71307 + 12.6121i −0.134591 + 0.990901i
\(163\) 5.76232 + 8.62392i 0.451340 + 0.675478i 0.985456 0.169934i \(-0.0543553\pi\)
−0.534116 + 0.845411i \(0.679355\pi\)
\(164\) −2.20545 + 1.03486i −0.172217 + 0.0808087i
\(165\) 3.65322 2.07630i 0.284403 0.161640i
\(166\) 6.96964 1.55389i 0.540949 0.120605i
\(167\) 7.99398 + 6.13400i 0.618593 + 0.474663i 0.869889 0.493247i \(-0.164190\pi\)
−0.251296 + 0.967910i \(0.580857\pi\)
\(168\) 3.17154 + 6.48326i 0.244689 + 0.500194i
\(169\) 9.67176 7.42140i 0.743981 0.570877i
\(170\) 22.3813 + 18.7345i 1.71657 + 1.43687i
\(171\) 13.5876 0.705724i 1.03907 0.0539681i
\(172\) −5.87127 6.10389i −0.447680 0.465417i
\(173\) 12.1653 + 10.6687i 0.924910 + 0.811125i 0.982317 0.187226i \(-0.0599497\pi\)
−0.0574064 + 0.998351i \(0.518283\pi\)
\(174\) 17.7579 6.35131i 1.34622 0.481492i
\(175\) 5.32846 19.8861i 0.402794 1.50325i
\(176\) −1.95828 1.06218i −0.147611 0.0800650i
\(177\) −0.849654 14.4650i −0.0638639 1.08726i
\(178\) 4.23099 17.3807i 0.317126 1.30274i
\(179\) −0.768797 0.152923i −0.0574626 0.0114300i 0.166275 0.986079i \(-0.446826\pi\)
−0.223738 + 0.974649i \(0.571826\pi\)
\(180\) −25.0083 7.59316i −1.86401 0.565961i
\(181\) −0.920371 + 1.37743i −0.0684106 + 0.102384i −0.864098 0.503324i \(-0.832110\pi\)
0.795687 + 0.605708i \(0.207110\pi\)
\(182\) 1.69937 + 0.789954i 0.125966 + 0.0585553i
\(183\) 4.43485 6.54080i 0.327833 0.483510i
\(184\) −3.68209 + 18.8649i −0.271447 + 1.39074i
\(185\) 18.4656 24.0649i 1.35762 1.76928i
\(186\) 5.91029 6.10538i 0.433363 0.447668i
\(187\) 0.848230 2.49880i 0.0620287 0.182731i
\(188\) −1.39247 2.17424i −0.101556 0.158572i
\(189\) 3.96164 6.55043i 0.288167 0.476473i
\(190\) −3.00833 + 27.7761i −0.218247 + 2.01509i
\(191\) 3.91856 6.78714i 0.283537 0.491101i −0.688716 0.725031i \(-0.741825\pi\)
0.972253 + 0.233930i \(0.0751588\pi\)
\(192\) 3.59170 + 13.3828i 0.259209 + 0.965821i
\(193\) 0.0985829 + 0.170751i 0.00709615 + 0.0122909i 0.869552 0.493842i \(-0.164408\pi\)
−0.862456 + 0.506133i \(0.831075\pi\)
\(194\) 24.8183 10.9558i 1.78185 0.786580i
\(195\) −6.28701 + 2.55437i −0.450222 + 0.182923i
\(196\) 0.444424 + 9.64883i 0.0317446 + 0.689202i
\(197\) −25.1335 + 4.99937i −1.79069 + 0.356190i −0.974984 0.222276i \(-0.928651\pi\)
−0.815706 + 0.578467i \(0.803651\pi\)
\(198\) 0.176833 + 2.35631i 0.0125670 + 0.167456i
\(199\) 1.05361 + 2.54363i 0.0746882 + 0.180313i 0.956814 0.290700i \(-0.0938883\pi\)
−0.882126 + 0.471014i \(0.843888\pi\)
\(200\) 17.3541 35.5116i 1.22712 2.51105i
\(201\) 10.6099 + 21.8876i 0.748366 + 1.54383i
\(202\) −3.65596 + 2.56646i −0.257233 + 0.180576i
\(203\) −11.3188 0.741874i −0.794425 0.0520693i
\(204\) −14.9055 + 6.87115i −1.04360 + 0.481077i
\(205\) −3.49844 + 3.98920i −0.244342 + 0.278618i
\(206\) −13.6364 + 3.99237i −0.950093 + 0.278161i
\(207\) 18.9390 7.54564i 1.31635 0.524459i
\(208\) 2.91159 + 2.11350i 0.201882 + 0.146545i
\(209\) 2.43987 0.653760i 0.168769 0.0452215i
\(210\) 11.9851 + 10.1713i 0.827053 + 0.701884i
\(211\) 20.3493 6.90765i 1.40090 0.475542i 0.484146 0.874988i \(-0.339131\pi\)
0.916757 + 0.399445i \(0.130797\pi\)
\(212\) −11.4008 3.29344i −0.783010 0.226194i
\(213\) 1.79305 6.51479i 0.122858 0.446386i
\(214\) 17.7014 6.46679i 1.21004 0.442061i
\(215\) −17.0418 7.05895i −1.16224 0.481417i
\(216\) 9.87403 10.8859i 0.671842 0.740694i
\(217\) −4.72179 + 1.95583i −0.320536 + 0.132770i
\(218\) 9.21447 + 10.0317i 0.624083 + 0.679432i
\(219\) 1.82270 1.03593i 0.123167 0.0700015i
\(220\) −4.83462 0.411314i −0.325950 0.0277308i
\(221\) −1.88487 + 3.82214i −0.126790 + 0.257105i
\(222\) 7.79161 + 15.1737i 0.522938 + 1.01839i
\(223\) −17.1779 9.91769i −1.15032 0.664138i −0.201355 0.979518i \(-0.564534\pi\)
−0.948965 + 0.315381i \(0.897868\pi\)
\(224\) 1.21847 8.24441i 0.0814124 0.550853i
\(225\) −41.6345 + 4.90802i −2.77563 + 0.327202i
\(226\) −6.35921 + 5.11633i −0.423008 + 0.340333i
\(227\) −7.99154 + 0.523794i −0.530417 + 0.0347654i −0.328260 0.944588i \(-0.606462\pi\)
−0.202158 + 0.979353i \(0.564795\pi\)
\(228\) −13.3954 8.20912i −0.887134 0.543662i
\(229\) −0.656888 + 0.576075i −0.0434084 + 0.0380681i −0.680775 0.732492i \(-0.738357\pi\)
0.637367 + 0.770561i \(0.280024\pi\)
\(230\) 9.10964 + 40.8594i 0.600672 + 2.69419i
\(231\) 0.465940 1.34265i 0.0306566 0.0883396i
\(232\) −21.0552 5.56075i −1.38234 0.365081i
\(233\) −17.4723 7.23725i −1.14465 0.474128i −0.271911 0.962322i \(-0.587656\pi\)
−0.872735 + 0.488195i \(0.837656\pi\)
\(234\) 0.213563 3.81007i 0.0139611 0.249072i
\(235\) −4.67563 3.12416i −0.305005 0.203798i
\(236\) −8.64562 + 14.3248i −0.562782 + 0.932462i
\(237\) 4.86963 11.5346i 0.316317 0.749250i
\(238\) 9.86904 0.227163i 0.639715 0.0147248i
\(239\) 1.15559 4.31271i 0.0747487 0.278966i −0.918428 0.395589i \(-0.870540\pi\)
0.993176 + 0.116623i \(0.0372071\pi\)
\(240\) 18.8428 + 23.5736i 1.21630 + 1.52167i
\(241\) 0.828951 + 3.09369i 0.0533974 + 0.199282i 0.987472 0.157797i \(-0.0504393\pi\)
−0.934074 + 0.357079i \(0.883773\pi\)
\(242\) −4.24773 14.5086i −0.273055 0.932651i
\(243\) −15.3773 2.55727i −0.986452 0.164049i
\(244\) −8.49668 + 3.32762i −0.543944 + 0.213029i
\(245\) 9.30450 + 18.8677i 0.594443 + 1.20541i
\(246\) −1.18641 2.73767i −0.0756428 0.174548i
\(247\) −4.04439 + 0.532453i −0.257338 + 0.0338792i
\(248\) −9.61657 + 1.94878i −0.610653 + 0.123748i
\(249\) 1.64800 + 8.58893i 0.104438 + 0.544301i
\(250\) 2.34532 55.2337i 0.148331 3.49329i
\(251\) 20.2182 4.02165i 1.27616 0.253845i 0.489923 0.871766i \(-0.337025\pi\)
0.786240 + 0.617921i \(0.212025\pi\)
\(252\) −8.05252 + 3.64607i −0.507261 + 0.229681i
\(253\) 3.14696 2.10273i 0.197848 0.132198i
\(254\) −16.4384 + 22.4756i −1.03144 + 1.41024i
\(255\) −23.7513 + 26.7157i −1.48737 + 1.67300i
\(256\) 5.32809 15.0868i 0.333006 0.942925i
\(257\) 3.63707 + 6.29959i 0.226874 + 0.392958i 0.956880 0.290483i \(-0.0938160\pi\)
−0.730006 + 0.683441i \(0.760483\pi\)
\(258\) 7.68659 6.96494i 0.478546 0.433618i
\(259\) −0.670980 10.2372i −0.0416927 0.636108i
\(260\) 7.65423 + 1.67769i 0.474695 + 0.104046i
\(261\) 7.12743 + 21.9709i 0.441177 + 1.35997i
\(262\) −16.3229 + 8.52199i −1.00843 + 0.526490i
\(263\) −15.7473 2.07317i −0.971021 0.127837i −0.371706 0.928351i \(-0.621227\pi\)
−0.599315 + 0.800513i \(0.704560\pi\)
\(264\) 1.37177 2.35858i 0.0844266 0.145161i
\(265\) −25.6248 + 3.37357i −1.57412 + 0.207237i
\(266\) 5.42913 + 7.73388i 0.332881 + 0.474195i
\(267\) 21.1231 + 5.81368i 1.29272 + 0.355791i
\(268\) 4.20613 27.7697i 0.256930 1.69630i
\(269\) −9.48862 1.88740i −0.578532 0.115077i −0.102853 0.994697i \(-0.532797\pi\)
−0.475678 + 0.879619i \(0.657797\pi\)
\(270\) 10.2079 30.3382i 0.621235 1.84633i
\(271\) 5.08697 5.08697i 0.309012 0.309012i −0.535514 0.844526i \(-0.679882\pi\)
0.844526 + 0.535514i \(0.179882\pi\)
\(272\) 18.6797 + 3.20160i 1.13263 + 0.194125i
\(273\) −1.02906 + 2.05155i −0.0622816 + 0.124166i
\(274\) 2.84333 0.0654470i 0.171772 0.00395380i
\(275\) −7.36992 + 2.50175i −0.444423 + 0.150861i
\(276\) −22.9601 5.19586i −1.38204 0.312754i
\(277\) −1.99304 + 0.982860i −0.119750 + 0.0590543i −0.501177 0.865345i \(-0.667099\pi\)
0.381427 + 0.924399i \(0.375433\pi\)
\(278\) −15.1826 + 18.1380i −0.910592 + 1.08784i
\(279\) 7.25859 + 7.45812i 0.434560 + 0.446506i
\(280\) −4.76080 17.5157i −0.284512 1.04676i
\(281\) −0.607168 + 4.61190i −0.0362206 + 0.275123i 0.963745 + 0.266825i \(0.0859746\pi\)
−0.999966 + 0.00829781i \(0.997359\pi\)
\(282\) 2.71250 1.62534i 0.161527 0.0967877i
\(283\) 16.7272 14.6693i 0.994327 0.872001i 0.00255203 0.999997i \(-0.499188\pi\)
0.991775 + 0.127996i \(0.0408543\pi\)
\(284\) −5.96493 + 5.02955i −0.353953 + 0.298449i
\(285\) −33.8937 4.69615i −2.00769 0.278176i
\(286\) −0.108610 0.700076i −0.00642225 0.0413964i
\(287\) 1.79455i 0.105929i
\(288\) −16.5143 + 3.90873i −0.973114 + 0.230324i
\(289\) 5.44895i 0.320526i
\(290\) −46.8692 + 7.27130i −2.75225 + 0.426986i
\(291\) 12.5067 + 30.7823i 0.733153 + 1.80449i
\(292\) −2.41214 0.205217i −0.141160 0.0120094i
\(293\) 5.87303 5.15051i 0.343106 0.300896i −0.470399 0.882454i \(-0.655890\pi\)
0.813505 + 0.581558i \(0.197557\pi\)
\(294\) −11.8283 + 0.192048i −0.689842 + 0.0112005i
\(295\) −4.75649 + 36.1291i −0.276934 + 2.10352i
\(296\) 2.50071 19.5367i 0.145351 1.13555i
\(297\) −2.89105 + 0.130514i −0.167756 + 0.00757320i
\(298\) 3.99431 + 3.34349i 0.231384 + 0.193683i
\(299\) −5.48199 + 2.70342i −0.317031 + 0.156343i
\(300\) 42.8402 + 22.5405i 2.47338 + 1.30138i
\(301\) −5.90763 + 2.00537i −0.340510 + 0.115588i
\(302\) 0.403995 + 17.5515i 0.0232473 + 1.00997i
\(303\) −3.00849 4.56927i −0.172833 0.262498i
\(304\) 7.38573 + 16.5697i 0.423601 + 0.950335i
\(305\) −14.0531 + 14.0531i −0.804679 + 0.804679i
\(306\) −7.86788 18.4980i −0.449777 1.05746i
\(307\) 18.0488 + 3.59014i 1.03010 + 0.204900i 0.681076 0.732213i \(-0.261513\pi\)
0.349026 + 0.937113i \(0.386513\pi\)
\(308\) −1.32109 + 0.973537i −0.0752763 + 0.0554724i
\(309\) −4.38997 16.8394i −0.249736 0.957957i
\(310\) −17.4909 + 12.2785i −0.993416 + 0.697371i
\(311\) −10.9058 + 1.43578i −0.618411 + 0.0814154i −0.433222 0.901287i \(-0.642623\pi\)
−0.185190 + 0.982703i \(0.559290\pi\)
\(312\) −2.69358 + 3.48726i −0.152494 + 0.197427i
\(313\) −29.9145 3.93832i −1.69087 0.222607i −0.777252 0.629189i \(-0.783387\pi\)
−0.913614 + 0.406582i \(0.866720\pi\)
\(314\) 7.62411 + 14.6031i 0.430253 + 0.824099i
\(315\) −12.8889 + 14.3011i −0.726209 + 0.805778i
\(316\) −12.1745 + 7.79705i −0.684869 + 0.438618i
\(317\) 0.0292285 + 0.445941i 0.00164164 + 0.0250465i 0.998601 0.0528747i \(-0.0168384\pi\)
−0.996960 + 0.0779212i \(0.975172\pi\)
\(318\) 4.44776 13.8367i 0.249418 0.775925i
\(319\) 2.14408 + 3.71366i 0.120045 + 0.207925i
\(320\) −2.52883 34.7557i −0.141366 1.94290i
\(321\) 7.27086 + 21.9060i 0.405820 + 1.22267i
\(322\) 11.4282 + 8.35845i 0.636866 + 0.465798i
\(323\) −17.8669 + 11.9383i −0.994143 + 0.664265i
\(324\) 12.9663 + 12.4849i 0.720352 + 0.693608i
\(325\) 12.3277 2.45212i 0.683815 0.136019i
\(326\) 14.6549 + 0.622271i 0.811659 + 0.0344644i
\(327\) −12.6170 + 10.9144i −0.697721 + 0.603567i
\(328\) −0.660000 + 3.38147i −0.0364424 + 0.186710i
\(329\) −1.88563 + 0.248248i −0.103958 + 0.0136864i
\(330\) 0.679911 5.90355i 0.0374279 0.324980i
\(331\) −11.5557 23.4326i −0.635157 1.28797i −0.941809 0.336149i \(-0.890876\pi\)
0.306652 0.951822i \(-0.400791\pi\)
\(332\) 4.04502 9.25303i 0.221999 0.507826i
\(333\) −18.8600 + 8.98492i −1.03352 + 0.492370i
\(334\) 13.6758 4.00390i 0.748307 0.219084i
\(335\) −15.8323 59.0871i −0.865013 3.22827i
\(336\) 10.0484 + 1.79243i 0.548184 + 0.0977851i
\(337\) −0.777147 + 2.90035i −0.0423339 + 0.157992i −0.983857 0.178956i \(-0.942728\pi\)
0.941523 + 0.336948i \(0.109395\pi\)
\(338\) −0.396736 17.2361i −0.0215796 0.937520i
\(339\) −6.03142 7.97161i −0.327582 0.432958i
\(340\) 40.0707 9.90697i 2.17314 0.537281i
\(341\) 1.60649 + 1.07342i 0.0869962 + 0.0581290i
\(342\) 10.5383 16.0992i 0.569847 0.870545i
\(343\) 16.1013 + 6.66936i 0.869386 + 0.360111i
\(344\) −11.8693 + 1.60600i −0.639948 + 0.0865898i
\(345\) −50.3525 + 9.66137i −2.71089 + 0.520151i
\(346\) 22.3346 4.97952i 1.20072 0.267701i
\(347\) 19.5417 17.1376i 1.04905 0.919994i 0.0521499 0.998639i \(-0.483393\pi\)
0.996903 + 0.0786448i \(0.0250593\pi\)
\(348\) 7.57562 25.5729i 0.406096 1.37085i
\(349\) 28.3199 1.85618i 1.51593 0.0993592i 0.715426 0.698689i \(-0.246233\pi\)
0.800502 + 0.599330i \(0.204566\pi\)
\(350\) −18.2511 22.6847i −0.975561 1.21255i
\(351\) 4.65651 + 0.400447i 0.248546 + 0.0213743i
\(352\) −2.84738 + 1.34856i −0.151766 + 0.0718786i
\(353\) 0.230914 + 0.133318i 0.0122903 + 0.00709581i 0.506133 0.862456i \(-0.331075\pi\)
−0.493842 + 0.869552i \(0.664408\pi\)
\(354\) −17.2210 11.1066i −0.915284 0.590308i
\(355\) −7.51595 + 15.2408i −0.398905 + 0.808900i
\(356\) −16.3075 19.3403i −0.864295 1.02503i
\(357\) −0.0819566 + 12.0900i −0.00433760 + 0.639869i
\(358\) −0.816407 + 0.749899i −0.0431485 + 0.0396334i
\(359\) 6.75333 2.79732i 0.356427 0.147637i −0.197283 0.980347i \(-0.563212\pi\)
0.553710 + 0.832710i \(0.313212\pi\)
\(360\) −29.5462 + 22.2073i −1.55722 + 1.17043i
\(361\) −1.44950 0.600401i −0.0762892 0.0316000i
\(362\) 0.803927 + 2.20057i 0.0422534 + 0.115659i
\(363\) 17.9165 4.67077i 0.940371 0.245152i
\(364\) 2.32048 1.28029i 0.121626 0.0671057i
\(365\) −4.99273 + 1.69481i −0.261332 + 0.0887102i
\(366\) −3.76369 10.5230i −0.196731 0.550048i
\(367\) 20.7514 5.56032i 1.08321 0.290247i 0.327303 0.944920i \(-0.393860\pi\)
0.755912 + 0.654673i \(0.227194\pi\)
\(368\) 18.4600 + 19.9529i 0.962292 + 1.04011i
\(369\) 3.39475 1.35253i 0.176724 0.0704098i
\(370\) −12.0533 41.1693i −0.626619 2.14029i
\(371\) −5.76368 + 6.57222i −0.299235 + 0.341213i
\(372\) −2.03486 11.8437i −0.105503 0.614068i
\(373\) 24.8221 + 1.62693i 1.28524 + 0.0842391i 0.692655 0.721269i \(-0.256441\pi\)
0.592585 + 0.805508i \(0.298107\pi\)
\(374\) −2.14418 3.05442i −0.110873 0.157941i
\(375\) 67.5316 + 4.88622i 3.48732 + 0.252323i
\(376\) −3.64439 0.225725i −0.187945 0.0116409i
\(377\) −2.65016 6.39806i −0.136490 0.329517i
\(378\) −4.16975 9.99092i −0.214469 0.513878i
\(379\) 12.9641 2.57872i 0.665920 0.132460i 0.149456 0.988768i \(-0.452248\pi\)
0.516464 + 0.856309i \(0.327248\pi\)
\(380\) 29.1944 + 26.6234i 1.49764 + 1.36575i
\(381\) −26.9149 20.9439i −1.37889 1.07299i
\(382\) −4.47593 10.1394i −0.229008 0.518776i
\(383\) 4.78729 + 8.29184i 0.244619 + 0.423693i 0.962025 0.272963i \(-0.0880037\pi\)
−0.717405 + 0.696656i \(0.754670\pi\)
\(384\) 18.2749 + 7.07306i 0.932587 + 0.360946i
\(385\) −1.78709 + 3.09532i −0.0910784 + 0.157752i
\(386\) 0.277213 + 0.0300240i 0.0141098 + 0.00152818i
\(387\) 8.24606 + 9.66404i 0.419171 + 0.491251i
\(388\) 8.21424 37.4764i 0.417015 1.90258i
\(389\) −6.95715 + 20.4951i −0.352742 + 1.03914i 0.615287 + 0.788303i \(0.289040\pi\)
−0.968029 + 0.250840i \(0.919293\pi\)
\(390\) −2.33307 + 9.30911i −0.118140 + 0.471385i
\(391\) −19.6008 + 25.5443i −0.991256 + 1.29183i
\(392\) 11.3850 + 7.54824i 0.575031 + 0.381244i
\(393\) −9.83713 20.2934i −0.496218 1.02367i
\(394\) −15.2766 + 32.8634i −0.769623 + 1.65563i
\(395\) −17.4935 + 26.1809i −0.880195 + 1.31730i
\(396\) 2.83733 + 1.76537i 0.142581 + 0.0887131i
\(397\) 32.3404 + 6.43291i 1.62312 + 0.322858i 0.921108 0.389308i \(-0.127286\pi\)
0.702011 + 0.712166i \(0.252286\pi\)
\(398\) 3.78315 + 0.920932i 0.189632 + 0.0461621i
\(399\) −9.66590 + 6.36420i −0.483900 + 0.318608i
\(400\) −26.0475 49.4571i −1.30237 2.47285i
\(401\) −2.81995 + 10.5242i −0.140821 + 0.525553i 0.859085 + 0.511834i \(0.171034\pi\)
−0.999906 + 0.0137188i \(0.995633\pi\)
\(402\) 33.8423 + 6.16227i 1.68790 + 0.307346i
\(403\) −2.34595 2.05734i −0.116860 0.102483i
\(404\) −0.122686 + 6.31590i −0.00610385 + 0.314228i
\(405\) 36.7677 + 13.6034i 1.82700 + 0.675958i
\(406\) −10.2966 + 12.3009i −0.511012 + 0.610482i
\(407\) −3.07693 + 2.36101i −0.152518 + 0.117031i
\(408\) −4.60089 + 22.7510i −0.227778 + 1.12634i
\(409\) −0.771122 0.591703i −0.0381296 0.0292578i 0.589521 0.807753i \(-0.299317\pi\)
−0.627650 + 0.778495i \(0.715983\pi\)
\(410\) 1.63287 + 7.32389i 0.0806416 + 0.361701i
\(411\) −0.0236122 + 3.48320i −0.00116470 + 0.171813i
\(412\) −6.82743 + 18.8989i −0.336363 + 0.931080i
\(413\) 6.84735 + 10.2478i 0.336936 + 0.504260i
\(414\) 7.19843 27.9183i 0.353784 1.37211i
\(415\) 21.9944i 1.07966i
\(416\) 4.84334 1.55903i 0.237464 0.0764377i
\(417\) −21.6506 19.2483i −1.06024 0.942593i
\(418\) 1.29072 3.33088i 0.0631311 0.162918i
\(419\) −1.21505 + 2.46387i −0.0593589 + 0.120368i −0.924531 0.381108i \(-0.875543\pi\)
0.865172 + 0.501476i \(0.167209\pi\)
\(420\) 21.6164 5.18915i 1.05477 0.253205i
\(421\) 33.5944 + 11.4038i 1.63729 + 0.555785i 0.980197 0.198025i \(-0.0634527\pi\)
0.657093 + 0.753810i \(0.271786\pi\)
\(422\) 9.10407 28.9954i 0.443179 1.41147i
\(423\) 1.89079 + 3.37995i 0.0919332 + 0.164339i
\(424\) −13.2776 + 10.2642i −0.644818 + 0.498476i
\(425\) 52.5283 40.3064i 2.54800 1.95515i
\(426\) −5.93957 7.48576i −0.287773 0.362686i
\(427\) −0.439623 + 6.70736i −0.0212749 + 0.324592i
\(428\) 7.39667 25.6048i 0.357532 1.23766i
\(429\) 0.860996 0.107420i 0.0415693 0.00518628i
\(430\) −22.2854 + 13.5597i −1.07470 + 0.653905i
\(431\) −17.6288 17.6288i −0.849149 0.849149i 0.140878 0.990027i \(-0.455008\pi\)
−0.990027 + 0.140878i \(0.955008\pi\)
\(432\) −4.18258 20.3594i −0.201234 0.979543i
\(433\) 20.7439 20.7439i 0.996886 0.996886i −0.00310920 0.999995i \(-0.500990\pi\)
0.999995 + 0.00310920i \(0.000989691\pi\)
\(434\) −1.70954 + 7.02272i −0.0820606 + 0.337101i
\(435\) −7.19162 57.6426i −0.344812 2.76375i
\(436\) 19.1439 2.14300i 0.916828 0.102631i
\(437\) −30.7542 2.01573i −1.47117 0.0964256i
\(438\) 0.339228 2.94546i 0.0162090 0.140739i
\(439\) −2.45602 3.20075i −0.117219 0.152763i 0.731058 0.682315i \(-0.239027\pi\)
−0.848278 + 0.529552i \(0.822360\pi\)
\(440\) −4.50580 + 5.17526i −0.214806 + 0.246721i
\(441\) 0.196424 14.4873i 0.00935352 0.689870i
\(442\) 2.78929 + 5.34256i 0.132673 + 0.254119i
\(443\) −8.40379 + 24.7568i −0.399276 + 1.17623i 0.542520 + 0.840043i \(0.317470\pi\)
−0.941796 + 0.336186i \(0.890863\pi\)
\(444\) 23.8256 + 3.77412i 1.13071 + 0.179112i
\(445\) −49.4159 24.3692i −2.34254 1.15521i
\(446\) −25.6623 + 11.3284i −1.21514 + 0.536413i
\(447\) −4.23883 + 4.76787i −0.200490 + 0.225512i
\(448\) −8.39361 8.27390i −0.396561 0.390905i
\(449\) −14.6251 −0.690201 −0.345101 0.938566i \(-0.612155\pi\)
−0.345101 + 0.938566i \(0.612155\pi\)
\(450\) −29.1570 + 51.6227i −1.37447 + 2.43352i
\(451\) 0.564081 0.376907i 0.0265615 0.0177479i
\(452\) 0.531090 + 11.5304i 0.0249804 + 0.542346i
\(453\) −21.5013 0.145755i −1.01022 0.00684815i
\(454\) −6.07402 + 9.55953i −0.285068 + 0.448651i
\(455\) 3.51386 4.57935i 0.164732 0.214683i
\(456\) −20.5541 + 8.43711i −0.962532 + 0.395104i
\(457\) 8.38829 + 10.9318i 0.392388 + 0.511370i 0.947216 0.320595i \(-0.103883\pi\)
−0.554829 + 0.831965i \(0.687216\pi\)
\(458\) 0.109164 + 1.23078i 0.00510089 + 0.0575104i
\(459\) 22.9324 8.95701i 1.07039 0.418078i
\(460\) 54.2458 + 23.7139i 2.52922 + 1.10566i
\(461\) 15.9207 18.1541i 0.741502 0.845521i −0.250970 0.967995i \(-0.580749\pi\)
0.992472 + 0.122474i \(0.0390828\pi\)
\(462\) −1.14361 1.65280i −0.0532055 0.0768953i
\(463\) 14.3280 + 3.83918i 0.665879 + 0.178422i 0.575898 0.817522i \(-0.304653\pi\)
0.0899815 + 0.995943i \(0.471319\pi\)
\(464\) −23.9259 + 19.3916i −1.11073 + 0.900234i
\(465\) −14.3932 21.8603i −0.667469 1.01375i
\(466\) −22.8483 + 13.9021i −1.05843 + 0.644004i
\(467\) −5.43503 + 27.3237i −0.251503 + 1.26439i 0.624094 + 0.781349i \(0.285468\pi\)
−0.875597 + 0.483042i \(0.839532\pi\)
\(468\) −4.17084 3.42470i −0.192797 0.158307i
\(469\) −17.2024 11.4943i −0.794335 0.530757i
\(470\) −7.46974 + 2.72889i −0.344553 + 0.125874i
\(471\) −18.1552 + 8.80068i −0.836549 + 0.405514i
\(472\) 9.13351 + 21.8282i 0.420404 + 1.00472i
\(473\) 1.87112 + 1.43576i 0.0860342 + 0.0660163i
\(474\) −9.10100 15.1885i −0.418023 0.697631i
\(475\) 60.0139 + 20.3720i 2.75363 + 0.934731i
\(476\) 7.98008 11.4550i 0.365767 0.525040i
\(477\) 16.7767 + 5.94976i 0.768151 + 0.272421i
\(478\) −3.95812 4.91964i −0.181040 0.225019i
\(479\) −6.84926 3.95442i −0.312951 0.180682i 0.335295 0.942113i \(-0.391164\pi\)
−0.648246 + 0.761431i \(0.724497\pi\)
\(480\) 42.6402 1.82781i 1.94625 0.0834278i
\(481\) 5.42430 3.13172i 0.247327 0.142794i
\(482\) 4.22347 + 1.63660i 0.192374 + 0.0745450i
\(483\) −10.6494 + 13.6854i −0.484563 + 0.622708i
\(484\) −20.1077 7.26414i −0.913987 0.330188i
\(485\) −16.3018 81.9546i −0.740226 3.72137i
\(486\) −15.7571 + 15.4179i −0.714758 + 0.699372i
\(487\) −10.9641 + 4.54146i −0.496829 + 0.205793i −0.617005 0.786959i \(-0.711654\pi\)
0.120176 + 0.992753i \(0.461654\pi\)
\(488\) −3.29522 + 12.4770i −0.149167 + 0.564806i
\(489\) −1.29644 + 17.9178i −0.0586268 + 0.810272i
\(490\) 29.3052 + 5.13114i 1.32387 + 0.231801i
\(491\) 1.95617 29.8454i 0.0882808 1.34690i −0.692192 0.721714i \(-0.743355\pi\)
0.780472 0.625190i \(-0.214979\pi\)
\(492\) −4.11552 0.931339i −0.185542 0.0419880i
\(493\) −27.4270 24.0528i −1.23525 1.08328i
\(494\) −2.76876 + 5.06114i −0.124572 + 0.227711i
\(495\) 7.20232 + 1.04773i 0.323720 + 0.0470918i
\(496\) −5.80410 + 12.6042i −0.260612 + 0.565943i
\(497\) 1.48754 + 5.55158i 0.0667253 + 0.249022i
\(498\) 11.1800 + 5.28949i 0.500988 + 0.237028i
\(499\) −0.455797 1.34273i −0.0204043 0.0601090i 0.936251 0.351332i \(-0.114271\pi\)
−0.956655 + 0.291223i \(0.905938\pi\)
\(500\) −61.0904 48.7902i −2.73205 2.18197i
\(501\) 4.40265 + 16.8880i 0.196696 + 0.754501i
\(502\) 12.2890 26.4364i 0.548484 1.17991i
\(503\) 0.299439 0.722911i 0.0133513 0.0322330i −0.917063 0.398742i \(-0.869447\pi\)
0.930415 + 0.366509i \(0.119447\pi\)
\(504\) −2.56089 + 12.2358i −0.114071 + 0.545027i
\(505\) 5.26513 + 12.7111i 0.234295 + 0.565638i
\(506\) 0.227073 5.34773i 0.0100946 0.237735i
\(507\) 21.1149 + 0.143136i 0.937747 + 0.00635688i
\(508\) 11.9315 + 37.5285i 0.529376 + 1.66506i
\(509\) −8.34133 4.11349i −0.369723 0.182327i 0.247930 0.968778i \(-0.420250\pi\)
−0.617653 + 0.786451i \(0.711916\pi\)
\(510\) 10.6662 + 49.4160i 0.472309 + 2.18818i
\(511\) −0.891631 + 1.54435i −0.0394434 + 0.0683180i
\(512\) −12.7731 18.6775i −0.564496 0.825436i
\(513\) 19.3242 + 13.4884i 0.853184 + 0.595526i
\(514\) 10.2274 + 1.10769i 0.451110 + 0.0488582i
\(515\) 2.86236 + 43.6711i 0.126130 + 1.92438i
\(516\) −1.53305 14.5890i −0.0674886 0.642243i
\(517\) 0.474069 + 0.540572i 0.0208495 + 0.0237743i
\(518\) −12.2458 7.78083i −0.538048 0.341870i
\(519\) 5.28111 + 27.5237i 0.231815 + 1.20816i
\(520\) 8.30535 7.33653i 0.364214 0.321728i
\(521\) −12.7998 + 30.9014i −0.560769 + 1.35382i 0.348384 + 0.937352i \(0.386731\pi\)
−0.909152 + 0.416464i \(0.863269\pi\)
\(522\) 31.0300 + 10.2071i 1.35814 + 0.446751i
\(523\) 20.6003 30.8305i 0.900786 1.34812i −0.0364167 0.999337i \(-0.511594\pi\)
0.937203 0.348785i \(-0.113406\pi\)
\(524\) −3.89978 + 25.7471i −0.170363 + 1.12477i
\(525\) 28.4365 21.5154i 1.24107 0.939009i
\(526\) −15.5135 + 16.2445i −0.676420 + 0.708293i
\(527\) −15.8766 4.25411i −0.691594 0.185312i
\(528\) −1.54703 3.53497i −0.0673259 0.153840i
\(529\) −22.3906 + 5.99953i −0.973502 + 0.260849i
\(530\) −17.5426 + 32.0668i −0.762000 + 1.39289i
\(531\) 14.2250 20.6767i 0.617311 0.897294i
\(532\) 13.3607 + 0.259532i 0.579262 + 0.0112521i
\(533\) −0.982625 + 0.484577i −0.0425622 + 0.0209894i
\(534\) 24.2714 19.2581i 1.05032 0.833378i
\(535\) −7.57664 57.5503i −0.327567 2.48812i
\(536\) −28.1871 27.9854i −1.21750 1.20879i
\(537\) −0.888243 1.02681i −0.0383305 0.0443099i
\(538\) −10.0762 + 9.25538i −0.434417 + 0.399028i
\(539\) −0.524756 2.63812i −0.0226028 0.113632i
\(540\) −26.1083 36.9807i −1.12352 1.59140i
\(541\) 25.3804 + 37.9844i 1.09119 + 1.63308i 0.702460 + 0.711723i \(0.252085\pi\)
0.388727 + 0.921353i \(0.372915\pi\)
\(542\) −1.55973 10.0537i −0.0669962 0.431843i
\(543\) −2.72327 + 0.903885i −0.116867 + 0.0387894i
\(544\) 19.2498 18.6497i 0.825327 0.799600i
\(545\) 36.3344 20.9777i 1.55640 0.898585i
\(546\) 1.48268 + 2.88744i 0.0634529 + 0.123571i
\(547\) −27.4275 + 1.79769i −1.17272 + 0.0768639i −0.639278 0.768975i \(-0.720767\pi\)
−0.533438 + 0.845839i \(0.679100\pi\)
\(548\) 2.29911 3.30026i 0.0982131 0.140980i
\(549\) 13.0196 4.22361i 0.555665 0.180259i
\(550\) −3.29723 + 10.5013i −0.140594 + 0.447777i
\(551\) 4.55783 34.6202i 0.194170 1.47487i
\(552\) −25.0998 + 21.8708i −1.06832 + 0.930882i
\(553\) 1.39005 + 10.5585i 0.0591110 + 0.448992i
\(554\) −0.542016 + 3.09559i −0.0230281 + 0.131519i
\(555\) 50.8393 13.2536i 2.15801 0.562585i
\(556\) 8.02869 + 32.4736i 0.340492 + 1.37719i
\(557\) −6.44504 + 32.4014i −0.273085 + 1.37289i 0.563980 + 0.825788i \(0.309269\pi\)
−0.837065 + 0.547103i \(0.815731\pi\)
\(558\) 14.5733 2.05899i 0.616938 0.0871640i
\(559\) −2.69328 2.69328i −0.113914 0.113914i
\(560\) −23.9685 9.18898i −1.01286 0.388305i
\(561\) 3.81746 2.51348i 0.161173 0.106119i
\(562\) 4.75751 + 4.54342i 0.200683 + 0.191653i
\(563\) −1.09308 3.22010i −0.0460676 0.135711i 0.921462 0.388469i \(-0.126996\pi\)
−0.967530 + 0.252758i \(0.918662\pi\)
\(564\) 0.409291 4.45324i 0.0172343 0.187515i
\(565\) 11.1189 + 22.5470i 0.467778 + 0.948559i
\(566\) −2.77977 31.3408i −0.116843 1.31735i
\(567\) 12.3830 4.74012i 0.520038 0.199066i
\(568\) 0.761207 + 11.0079i 0.0319395 + 0.461882i
\(569\) 46.6742 + 6.14478i 1.95669 + 0.257603i 0.999493 0.0318474i \(-0.0101390\pi\)
0.957193 + 0.289450i \(0.0934724\pi\)
\(570\) −33.6575 + 34.7685i −1.40976 + 1.45629i
\(571\) −7.48013 8.52945i −0.313034 0.356946i 0.573833 0.818973i \(-0.305456\pi\)
−0.886866 + 0.462026i \(0.847123\pi\)
\(572\) −0.889802 0.460497i −0.0372045 0.0192544i
\(573\) 12.5759 5.10952i 0.525367 0.213453i
\(574\) 2.04845 + 1.49822i 0.0855007 + 0.0625345i
\(575\) 94.9636 3.96026
\(576\) −9.32557 + 22.1141i −0.388566 + 0.921421i
\(577\) 4.65318 0.193714 0.0968572 0.995298i \(-0.469121\pi\)
0.0968572 + 0.995298i \(0.469121\pi\)
\(578\) 6.21989 + 4.54917i 0.258713 + 0.189221i
\(579\) −0.0468689 + 0.338270i −0.00194781 + 0.0140580i
\(580\) −30.8297 + 59.5711i −1.28013 + 2.47355i
\(581\) −4.90478 5.59283i −0.203484 0.232030i
\(582\) 45.5790 + 11.4231i 1.88931 + 0.473504i
\(583\) 3.27638 + 0.431344i 0.135694 + 0.0178644i
\(584\) −2.24808 + 2.58209i −0.0930262 + 0.106848i
\(585\) −11.3111 3.19577i −0.467657 0.132129i
\(586\) −0.976000 11.0040i −0.0403182 0.454571i
\(587\) 5.16758 + 10.4788i 0.213289 + 0.432507i 0.977055 0.212986i \(-0.0683187\pi\)
−0.763766 + 0.645493i \(0.776652\pi\)
\(588\) −9.65592 + 13.6622i −0.398203 + 0.563419i
\(589\) −5.05731 14.8984i −0.208383 0.613876i
\(590\) 37.2698 + 35.5927i 1.53437 + 1.46533i
\(591\) −39.6741 19.9006i −1.63197 0.818600i
\(592\) −20.2130 19.1651i −0.830751 0.787683i
\(593\) 3.25592 + 3.25592i 0.133705 + 0.133705i 0.770792 0.637087i \(-0.219861\pi\)
−0.637087 + 0.770792i \(0.719861\pi\)
\(594\) −2.26468 + 3.40906i −0.0929210 + 0.139875i
\(595\) 5.93189 29.8216i 0.243184 1.22257i
\(596\) 7.15128 1.76807i 0.292928 0.0724228i
\(597\) −1.26543 + 4.59773i −0.0517904 + 0.188173i
\(598\) −1.49085 + 8.51461i −0.0609653 + 0.348188i
\(599\) 1.54141 + 11.7082i 0.0629804 + 0.478383i 0.993649 + 0.112521i \(0.0358926\pi\)
−0.930669 + 0.365862i \(0.880774\pi\)
\(600\) 61.4957 30.0830i 2.51055 1.22813i
\(601\) −2.59290 + 19.6950i −0.105767 + 0.803377i 0.853543 + 0.521022i \(0.174449\pi\)
−0.959310 + 0.282355i \(0.908884\pi\)
\(602\) −2.64302 + 8.41770i −0.107721 + 0.343080i
\(603\) −8.77852 + 41.2049i −0.357489 + 1.67799i
\(604\) 20.3720 + 14.1921i 0.828926 + 0.577468i
\(605\) −46.4645 + 3.04544i −1.88905 + 0.123815i
\(606\) −7.72745 0.380614i −0.313906 0.0154614i
\(607\) 9.20076 5.31206i 0.373447 0.215610i −0.301516 0.953461i \(-0.597493\pi\)
0.674963 + 0.737851i \(0.264159\pi\)
\(608\) 25.0802 + 5.40286i 1.01713 + 0.219115i
\(609\) −14.6831 13.0539i −0.594989 0.528970i
\(610\) 4.30887 + 27.7740i 0.174461 + 1.12454i
\(611\) −0.645103 0.965464i −0.0260981 0.0390585i
\(612\) −27.6839 6.46243i −1.11906 0.261228i
\(613\) 5.03139 + 25.2945i 0.203216 + 1.02164i 0.938868 + 0.344276i \(0.111876\pi\)
−0.735653 + 0.677359i \(0.763124\pi\)
\(614\) 19.1666 17.6052i 0.773499 0.710487i
\(615\) −9.02549 + 1.73176i −0.363943 + 0.0698315i
\(616\) 0.00833436 + 2.32079i 0.000335801 + 0.0935072i
\(617\) 5.21614 + 39.6205i 0.209994 + 1.59506i 0.693986 + 0.719989i \(0.255853\pi\)
−0.483992 + 0.875072i \(0.660814\pi\)
\(618\) −22.8869 9.04763i −0.920648 0.363949i
\(619\) 33.3325 16.4378i 1.33975 0.660689i 0.375778 0.926710i \(-0.377376\pi\)
0.963967 + 0.266021i \(0.0857089\pi\)
\(620\) −0.586955 + 30.2165i −0.0235727 + 1.21353i
\(621\) 33.9150 + 9.83087i 1.36096 + 0.394499i
\(622\) −7.46604 + 13.6475i −0.299361 + 0.547215i
\(623\) −18.0001 + 4.82310i −0.721158 + 0.193234i
\(624\) 1.73187 + 5.98610i 0.0693302 + 0.239636i
\(625\) −96.9870 25.9876i −3.87948 1.03950i
\(626\) −29.4703 + 30.8589i −1.17787 + 1.23337i
\(627\) 4.03057 + 1.70162i 0.160966 + 0.0679561i
\(628\) 23.0343 + 3.48889i 0.919170 + 0.139222i
\(629\) 18.3304 27.4334i 0.730880 1.09384i
\(630\) 5.56394 + 26.6521i 0.221673 + 1.06185i
\(631\) 16.4007 39.5948i 0.652902 1.57624i −0.155645 0.987813i \(-0.549746\pi\)
0.808547 0.588432i \(-0.200254\pi\)
\(632\) −1.26393 + 20.4065i −0.0502766 + 0.811729i
\(633\) 35.1641 + 12.2031i 1.39765 + 0.485028i
\(634\) 0.533437 + 0.338940i 0.0211855 + 0.0134610i
\(635\) 56.5505 + 64.4835i 2.24414 + 2.55895i
\(636\) −12.0811 16.6290i −0.479047 0.659381i
\(637\) 0.284107 + 4.33463i 0.0112567 + 0.171744i
\(638\) 6.02912 + 0.652993i 0.238695 + 0.0258522i
\(639\) 9.38077 6.99813i 0.371098 0.276842i
\(640\) −41.7843 26.1299i −1.65167 1.03288i
\(641\) −9.20424 + 15.9422i −0.363546 + 0.629679i −0.988542 0.150948i \(-0.951767\pi\)
0.624996 + 0.780628i \(0.285101\pi\)
\(642\) 31.0756 + 9.98915i 1.22646 + 0.394240i
\(643\) −0.701029 0.345709i −0.0276459 0.0136335i 0.428413 0.903583i \(-0.359073\pi\)
−0.456059 + 0.889949i \(0.650739\pi\)
\(644\) 19.0821 6.06683i 0.751940 0.239066i
\(645\) −15.7867 27.7766i −0.621602 1.09370i
\(646\) −1.28921 + 30.3618i −0.0507234 + 1.19457i
\(647\) 3.68676 + 8.90063i 0.144941 + 0.349920i 0.979632 0.200799i \(-0.0643538\pi\)
−0.834691 + 0.550719i \(0.814354\pi\)
\(648\) 25.0766 4.37755i 0.985103 0.171967i
\(649\) 1.78305 4.30466i 0.0699907 0.168973i
\(650\) 7.49296 16.1190i 0.293898 0.632241i
\(651\) −8.53486 2.34903i −0.334507 0.0920658i
\(652\) 12.9453 16.2088i 0.506976 0.634786i
\(653\) 7.61530 + 22.4339i 0.298010 + 0.877908i 0.988050 + 0.154137i \(0.0492596\pi\)
−0.690040 + 0.723771i \(0.742407\pi\)
\(654\) 1.92504 + 23.5142i 0.0752748 + 0.919478i
\(655\) 14.6792 + 54.7835i 0.573563 + 2.14057i
\(656\) 3.30888 + 3.57647i 0.129190 + 0.139638i
\(657\) 3.59346 + 0.522742i 0.140194 + 0.0203941i
\(658\) −1.29089 + 2.35968i −0.0503242 + 0.0919898i
\(659\) 4.44765 + 3.90049i 0.173256 + 0.151941i 0.741582 0.670862i \(-0.234076\pi\)
−0.568327 + 0.822803i \(0.692409\pi\)
\(660\) −6.17117 5.70482i −0.240212 0.222060i
\(661\) −1.35953 + 20.7425i −0.0528797 + 0.806788i 0.886246 + 0.463215i \(0.153304\pi\)
−0.939126 + 0.343574i \(0.888363\pi\)
\(662\) −36.3954 6.37258i −1.41455 0.247678i
\(663\) −6.64213 + 3.21974i −0.257959 + 0.125045i
\(664\) −7.18513 12.3424i −0.278837 0.478979i
\(665\) 26.8893 11.1379i 1.04272 0.431910i
\(666\) −5.48951 + 29.0296i −0.212714 + 1.12488i
\(667\) −10.2075 51.3166i −0.395236 1.98699i
\(668\) 6.84716 18.9535i 0.264925 0.733333i
\(669\) −12.9320 31.8291i −0.499979 1.23058i
\(670\) −80.6650 31.2578i −3.11636 1.20759i
\(671\) 2.20066 1.27055i 0.0849554 0.0490490i
\(672\) 10.4351 9.97361i 0.402544 0.384741i
\(673\) 13.7444 + 7.93531i 0.529806 + 0.305884i 0.740937 0.671574i \(-0.234381\pi\)
−0.211131 + 0.977458i \(0.567715\pi\)
\(674\) 2.66189 + 3.30853i 0.102532 + 0.127440i
\(675\) −62.1328 37.5774i −2.39149 1.44635i
\(676\) −20.0060 13.9371i −0.769460 0.536041i
\(677\) −36.1328 12.2654i −1.38870 0.471399i −0.475787 0.879560i \(-0.657837\pi\)
−0.912910 + 0.408161i \(0.866170\pi\)
\(678\) −14.1349 + 0.229499i −0.542849 + 0.00881387i
\(679\) −22.4213 17.2045i −0.860450 0.660247i
\(680\) 22.1452 54.0111i 0.849231 2.07123i
\(681\) −11.4812 7.78458i −0.439960 0.298306i
\(682\) 2.56650 0.937612i 0.0982766 0.0359030i
\(683\) −18.1338 12.1166i −0.693870 0.463629i 0.157961 0.987445i \(-0.449508\pi\)
−0.851831 + 0.523816i \(0.824508\pi\)
\(684\) −9.57885 25.4701i −0.366257 0.973874i
\(685\) 1.70901 8.59178i 0.0652980 0.328275i
\(686\) 21.0555 12.8113i 0.803901 0.489137i
\(687\) −1.51070 + 0.0887363i −0.0576368 + 0.00338550i
\(688\) −8.07609 + 14.8894i −0.307898 + 0.567653i
\(689\) −5.15504 1.38129i −0.196391 0.0526229i
\(690\) −31.0096 + 65.5426i −1.18051 + 2.49517i
\(691\) −5.13560 + 5.85602i −0.195367 + 0.222774i −0.841227 0.540683i \(-0.818166\pi\)
0.645859 + 0.763456i \(0.276499\pi\)
\(692\) 12.9625 29.6519i 0.492760 1.12720i
\(693\) 2.06508 1.33971i 0.0784461 0.0508913i
\(694\) −3.24750 36.6142i −0.123273 1.38986i
\(695\) 44.3520 + 57.8007i 1.68237 + 2.19251i
\(696\) −22.8664 29.9975i −0.866748 1.13705i
\(697\) −3.51337 + 4.57871i −0.133078 + 0.173431i
\(698\) 21.5247 33.8764i 0.814721 1.28224i
\(699\) −16.1855 28.4781i −0.612190 1.07714i
\(700\) −41.1316 + 1.89451i −1.55463 + 0.0716059i
\(701\) −6.07100 + 4.05651i −0.229298 + 0.153212i −0.664913 0.746921i \(-0.731531\pi\)
0.435614 + 0.900133i \(0.356531\pi\)
\(702\) 4.34469 4.98101i 0.163980 0.187996i
\(703\) 31.5820 1.19114
\(704\) −0.837836 + 4.37612i −0.0315771 + 0.164931i
\(705\) −3.06820 9.24402i −0.115555 0.348150i
\(706\) 0.344964 0.152281i 0.0129829 0.00573117i
\(707\) 4.17344 + 2.05811i 0.156958 + 0.0774034i
\(708\) −27.0553 + 10.3849i −1.01680 + 0.390288i
\(709\) 11.6846 34.4216i 0.438823 1.29273i −0.472606 0.881274i \(-0.656687\pi\)
0.911429 0.411457i \(-0.134980\pi\)
\(710\) 11.1223 + 21.3035i 0.417414 + 0.799506i
\(711\) 18.9258 10.5873i 0.709773 0.397056i
\(712\) −35.6913 + 2.46809i −1.33759 + 0.0924955i
\(713\) −14.3513 18.7029i −0.537459 0.700431i
\(714\) 13.7321 + 10.1871i 0.513911 + 0.381244i
\(715\) −2.17744 0.142717i −0.0814316 0.00533731i
\(716\) 0.174403 + 1.55799i 0.00651775 + 0.0582247i
\(717\) 6.16704 4.66606i 0.230312 0.174257i
\(718\) 2.44507 10.0442i 0.0912492 0.374848i
\(719\) −14.7386 + 14.7386i −0.549659 + 0.549659i −0.926342 0.376683i \(-0.877065\pi\)
0.376683 + 0.926342i \(0.377065\pi\)
\(720\) 0.681979 + 52.2669i 0.0254158 + 1.94787i
\(721\) 10.4666 + 10.4666i 0.389796 + 0.389796i
\(722\) −1.89549 + 1.15332i −0.0705429 + 0.0429221i
\(723\) −2.15761 + 5.11067i −0.0802424 + 0.190068i
\(724\) 3.18309 + 0.919525i 0.118299 + 0.0341739i
\(725\) −7.03690 + 107.362i −0.261344 + 3.98734i
\(726\) 9.62635 24.3509i 0.357267 0.903746i
\(727\) −2.11927 + 1.62617i −0.0785992 + 0.0603113i −0.647314 0.762224i \(-0.724108\pi\)
0.568714 + 0.822535i \(0.307441\pi\)
\(728\) 0.475865 3.71767i 0.0176367 0.137786i
\(729\) −18.2998 19.8524i −0.677770 0.735274i
\(730\) −2.23370 + 7.11408i −0.0826730 + 0.263304i
\(731\) −18.9992 6.44935i −0.702709 0.238538i
\(732\) −15.1541 4.48920i −0.560112 0.165926i
\(733\) 7.90029 16.0202i 0.291804 0.591719i −0.700767 0.713390i \(-0.747159\pi\)
0.992570 + 0.121671i \(0.0388253\pi\)
\(734\) 10.9778 28.3296i 0.405196 1.04566i
\(735\) −7.35068 + 35.6883i −0.271134 + 1.31638i
\(736\) 38.1876 4.41368i 1.40761 0.162690i
\(737\) 7.82137i 0.288104i
\(738\) 1.29029 5.00424i 0.0474963 0.184209i
\(739\) 2.05588 + 3.07684i 0.0756268 + 0.113184i 0.867355 0.497690i \(-0.165818\pi\)
−0.791728 + 0.610874i \(0.790818\pi\)
\(740\) −57.0571 20.6125i −2.09746 0.757731i
\(741\) −6.09484 3.57416i −0.223899 0.131300i
\(742\) 2.69015 + 12.0661i 0.0987586 + 0.442961i
\(743\) 7.54974 + 5.79312i 0.276973 + 0.212529i 0.737902 0.674908i \(-0.235817\pi\)
−0.460928 + 0.887437i \(0.652484\pi\)
\(744\) −15.2183 7.56523i −0.557929 0.277355i
\(745\) 12.7288 9.76713i 0.466346 0.357840i
\(746\) 22.5804 26.9758i 0.826727 0.987654i
\(747\) −6.88328 + 13.4936i −0.251846 + 0.493705i
\(748\) −5.27670 0.102500i −0.192935 0.00374776i
\(749\) −14.7604 12.9445i −0.539334 0.472983i
\(750\) 61.9578 73.0070i 2.26238 2.66584i
\(751\) −6.66586 + 24.8773i −0.243241 + 0.907787i 0.731019 + 0.682357i \(0.239045\pi\)
−0.974259 + 0.225430i \(0.927621\pi\)
\(752\) −3.30027 + 3.97157i −0.120348 + 0.144828i
\(753\) 31.9151 + 16.0087i 1.16305 + 0.583388i
\(754\) −9.51584 2.31644i −0.346546 0.0843598i
\(755\) 53.0359 + 10.5495i 1.93017 + 0.383935i
\(756\) −14.8857 3.58144i −0.541388 0.130256i
\(757\) −10.7643 + 16.1100i −0.391236 + 0.585526i −0.973841 0.227229i \(-0.927033\pi\)
0.582605 + 0.812755i \(0.302033\pi\)
\(758\) 7.87979 16.9512i 0.286207 0.615696i
\(759\) 6.53841 + 0.473083i 0.237329 + 0.0171718i
\(760\) 54.7638 11.0978i 1.98649 0.402559i
\(761\) −3.81874 + 4.97667i −0.138429 + 0.180404i −0.857423 0.514612i \(-0.827936\pi\)
0.718994 + 0.695016i \(0.244603\pi\)
\(762\) −46.3777 + 13.2375i −1.68009 + 0.479543i
\(763\) 4.56122 13.4369i 0.165127 0.486450i
\(764\) −15.3108 3.35588i −0.553924 0.121411i
\(765\) −60.8843 + 11.2548i −2.20128 + 0.406918i
\(766\) 13.4618 + 1.45800i 0.486394 + 0.0526797i
\(767\) −3.76231 + 6.51652i −0.135849 + 0.235298i
\(768\) 23.3310 14.9554i 0.841885 0.539657i
\(769\) −16.8553 29.1942i −0.607816 1.05277i −0.991600 0.129346i \(-0.958712\pi\)
0.383783 0.923423i \(-0.374621\pi\)
\(770\) 2.04128 + 4.62413i 0.0735625 + 0.166642i
\(771\) −1.72916 + 12.4800i −0.0622742 + 0.449455i
\(772\) 0.265710 0.291369i 0.00956310 0.0104866i