Properties

Label 960.2.cn.a.611.82
Level $960$
Weight $2$
Character 960.611
Analytic conductor $7.666$
Analytic rank $0$
Dimension $1024$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 960 = 2^{6} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 960.cn (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.66563859404\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(128\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 611.82
Character \(\chi\) \(=\) 960.611
Dual form 960.2.cn.a.11.82

$q$-expansion

\(f(q)\) \(=\) \(q+(0.557061 - 1.29988i) q^{2} +(-0.0725476 - 1.73053i) q^{3} +(-1.37937 - 1.44822i) q^{4} +(-0.831470 - 0.555570i) q^{5} +(-2.28989 - 0.869709i) q^{6} +(-0.966631 - 2.33365i) q^{7} +(-2.65091 + 0.986257i) q^{8} +(-2.98947 + 0.251092i) q^{9} +O(q^{10})\) \(q+(0.557061 - 1.29988i) q^{2} +(-0.0725476 - 1.73053i) q^{3} +(-1.37937 - 1.44822i) q^{4} +(-0.831470 - 0.555570i) q^{5} +(-2.28989 - 0.869709i) q^{6} +(-0.966631 - 2.33365i) q^{7} +(-2.65091 + 0.986257i) q^{8} +(-2.98947 + 0.251092i) q^{9} +(-1.18535 + 0.771322i) q^{10} +(0.314221 + 1.57970i) q^{11} +(-2.40613 + 2.49210i) q^{12} +(-0.595243 - 0.890844i) q^{13} +(-3.57194 - 0.0434862i) q^{14} +(-0.901110 + 1.47919i) q^{15} +(-0.194704 + 3.99526i) q^{16} +(3.51577 - 3.51577i) q^{17} +(-1.33893 + 4.02582i) q^{18} +(-1.27827 - 1.91306i) q^{19} +(0.342310 + 1.97049i) q^{20} +(-3.96833 + 1.84209i) q^{21} +(2.22845 + 0.471539i) q^{22} +(-1.44382 + 3.48568i) q^{23} +(1.89906 + 4.51592i) q^{24} +(0.382683 + 0.923880i) q^{25} +(-1.48958 + 0.277488i) q^{26} +(0.651401 + 5.15516i) q^{27} +(-2.04632 + 4.61886i) q^{28} +(1.64464 + 0.327140i) q^{29} +(1.42079 + 1.99533i) q^{30} -4.99093 q^{31} +(5.08489 + 2.47870i) q^{32} +(2.71092 - 0.658373i) q^{33} +(-2.61157 - 6.52856i) q^{34} +(-0.492784 + 2.47739i) q^{35} +(4.48721 + 3.98308i) q^{36} +(-0.709876 - 0.474324i) q^{37} +(-3.19882 + 0.595898i) q^{38} +(-1.49845 + 1.09472i) q^{39} +(2.75208 + 0.652721i) q^{40} +(0.102308 + 0.0423775i) q^{41} +(0.183881 + 6.18450i) q^{42} +(0.442995 + 2.22709i) q^{43} +(1.85433 - 2.63404i) q^{44} +(2.62516 + 1.45209i) q^{45} +(3.72667 + 3.81853i) q^{46} +(-3.58215 - 3.58215i) q^{47} +(6.92804 + 0.0470943i) q^{48} +(0.438183 - 0.438183i) q^{49} +(1.41411 + 0.0172159i) q^{50} +(-6.33920 - 5.82908i) q^{51} +(-0.469084 + 2.09084i) q^{52} +(10.6251 - 2.11347i) q^{53} +(7.06395 + 2.02500i) q^{54} +(0.616367 - 1.48804i) q^{55} +(4.86403 + 5.23295i) q^{56} +(-3.21787 + 2.35087i) q^{57} +(1.34141 - 1.95560i) q^{58} +(-1.61569 + 2.41805i) q^{59} +(3.38516 - 0.735333i) q^{60} +(-7.53033 - 1.49788i) q^{61} +(-2.78025 + 6.48760i) q^{62} +(3.47568 + 6.73368i) q^{63} +(6.05460 - 5.22895i) q^{64} +1.07141i q^{65} +(0.654344 - 3.89062i) q^{66} +(2.21625 - 11.1418i) q^{67} +(-9.94114 - 0.242091i) q^{68} +(6.13683 + 2.24569i) q^{69} +(2.94580 + 2.02062i) q^{70} +(-5.24577 + 2.17287i) q^{71} +(7.67717 - 3.61401i) q^{72} +(-4.27949 - 1.77262i) q^{73} +(-1.01201 + 0.658525i) q^{74} +(1.57104 - 0.729271i) q^{75} +(-1.00734 + 4.49002i) q^{76} +(3.38273 - 2.26027i) q^{77} +(0.588267 + 2.55763i) q^{78} +(-10.8259 - 10.8259i) q^{79} +(2.38154 - 3.21376i) q^{80} +(8.87391 - 1.50126i) q^{81} +(0.112078 - 0.109382i) q^{82} +(-9.64161 + 6.44232i) q^{83} +(8.14153 + 3.20612i) q^{84} +(-4.87651 + 0.969998i) q^{85} +(3.14171 + 0.664784i) q^{86} +(0.446810 - 2.86984i) q^{87} +(-2.39096 - 3.87772i) q^{88} +(-12.1021 + 5.01286i) q^{89} +(3.34991 - 2.60348i) q^{90} +(-1.50354 + 2.25021i) q^{91} +(7.03960 - 2.71706i) q^{92} +(0.362080 + 8.63696i) q^{93} +(-6.65184 + 2.66088i) q^{94} +2.30082i q^{95} +(3.92056 - 8.97938i) q^{96} +0.469233i q^{97} +(-0.325490 - 0.813680i) q^{98} +(-1.33600 - 4.64356i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024q + O(q^{10}) \) \( 1024q + 80q^{24} + 80q^{42} - 96q^{52} - 288q^{58} - 96q^{64} + 256q^{67} - 112q^{76} - 48q^{78} + 32q^{79} - 112q^{84} - 160q^{88} - 144q^{90} - 16q^{94} - 272q^{96} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/960\mathbb{Z}\right)^\times\).

\(n\) \(511\) \(577\) \(641\) \(901\)
\(\chi(n)\) \(-1\) \(1\) \(-1\) \(e\left(\frac{11}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.557061 1.29988i 0.393902 0.919152i
\(3\) −0.0725476 1.73053i −0.0418854 0.999122i
\(4\) −1.37937 1.44822i −0.689683 0.724112i
\(5\) −0.831470 0.555570i −0.371845 0.248459i
\(6\) −2.28989 0.869709i −0.934845 0.355057i
\(7\) −0.966631 2.33365i −0.365352 0.882038i −0.994498 0.104751i \(-0.966595\pi\)
0.629146 0.777287i \(-0.283405\pi\)
\(8\) −2.65091 + 0.986257i −0.937236 + 0.348694i
\(9\) −2.98947 + 0.251092i −0.996491 + 0.0836972i
\(10\) −1.18535 + 0.771322i −0.374842 + 0.243914i
\(11\) 0.314221 + 1.57970i 0.0947413 + 0.476297i 0.998804 + 0.0488965i \(0.0155704\pi\)
−0.904063 + 0.427400i \(0.859430\pi\)
\(12\) −2.40613 + 2.49210i −0.694589 + 0.719407i
\(13\) −0.595243 0.890844i −0.165091 0.247076i 0.739696 0.672942i \(-0.234970\pi\)
−0.904786 + 0.425866i \(0.859970\pi\)
\(14\) −3.57194 0.0434862i −0.954641 0.0116222i
\(15\) −0.901110 + 1.47919i −0.232666 + 0.381925i
\(16\) −0.194704 + 3.99526i −0.0486759 + 0.998815i
\(17\) 3.51577 3.51577i 0.852698 0.852698i −0.137766 0.990465i \(-0.543992\pi\)
0.990465 + 0.137766i \(0.0439923\pi\)
\(18\) −1.33893 + 4.02582i −0.315589 + 0.948896i
\(19\) −1.27827 1.91306i −0.293254 0.438886i 0.655362 0.755315i \(-0.272516\pi\)
−0.948616 + 0.316429i \(0.897516\pi\)
\(20\) 0.342310 + 1.97049i 0.0765429 + 0.440615i
\(21\) −3.96833 + 1.84209i −0.865961 + 0.401976i
\(22\) 2.22845 + 0.471539i 0.475108 + 0.100532i
\(23\) −1.44382 + 3.48568i −0.301057 + 0.726815i 0.698876 + 0.715243i \(0.253684\pi\)
−0.999933 + 0.0115727i \(0.996316\pi\)
\(24\) 1.89906 + 4.51592i 0.387645 + 0.921809i
\(25\) 0.382683 + 0.923880i 0.0765367 + 0.184776i
\(26\) −1.48958 + 0.277488i −0.292130 + 0.0544200i
\(27\) 0.651401 + 5.15516i 0.125362 + 0.992111i
\(28\) −2.04632 + 4.61886i −0.386717 + 0.872882i
\(29\) 1.64464 + 0.327140i 0.305402 + 0.0607483i 0.345412 0.938451i \(-0.387739\pi\)
−0.0400102 + 0.999199i \(0.512739\pi\)
\(30\) 1.42079 + 1.99533i 0.259400 + 0.364296i
\(31\) −4.99093 −0.896397 −0.448199 0.893934i \(-0.647934\pi\)
−0.448199 + 0.893934i \(0.647934\pi\)
\(32\) 5.08489 + 2.47870i 0.898889 + 0.438176i
\(33\) 2.71092 0.658373i 0.471910 0.114608i
\(34\) −2.61157 6.52856i −0.447880 1.11964i
\(35\) −0.492784 + 2.47739i −0.0832957 + 0.418756i
\(36\) 4.48721 + 3.98308i 0.747869 + 0.663847i
\(37\) −0.709876 0.474324i −0.116703 0.0779784i 0.495849 0.868409i \(-0.334857\pi\)
−0.612552 + 0.790430i \(0.709857\pi\)
\(38\) −3.19882 + 0.595898i −0.518917 + 0.0966674i
\(39\) −1.49845 + 1.09472i −0.239944 + 0.175295i
\(40\) 2.75208 + 0.652721i 0.435142 + 0.103204i
\(41\) 0.102308 + 0.0423775i 0.0159779 + 0.00661826i 0.390658 0.920536i \(-0.372247\pi\)
−0.374680 + 0.927154i \(0.622247\pi\)
\(42\) 0.183881 + 6.18450i 0.0283735 + 0.954290i
\(43\) 0.442995 + 2.22709i 0.0675561 + 0.339627i 0.999751 0.0223302i \(-0.00710851\pi\)
−0.932195 + 0.361958i \(0.882109\pi\)
\(44\) 1.85433 2.63404i 0.279551 0.397097i
\(45\) 2.62516 + 1.45209i 0.391335 + 0.216464i
\(46\) 3.72667 + 3.81853i 0.549467 + 0.563011i
\(47\) −3.58215 3.58215i −0.522511 0.522511i 0.395818 0.918329i \(-0.370461\pi\)
−0.918329 + 0.395818i \(0.870461\pi\)
\(48\) 6.92804 + 0.0470943i 0.999977 + 0.00679748i
\(49\) 0.438183 0.438183i 0.0625976 0.0625976i
\(50\) 1.41411 + 0.0172159i 0.199985 + 0.00243470i
\(51\) −6.33920 5.82908i −0.887666 0.816235i
\(52\) −0.469084 + 2.09084i −0.0650503 + 0.289948i
\(53\) 10.6251 2.11347i 1.45947 0.290307i 0.599387 0.800459i \(-0.295411\pi\)
0.860084 + 0.510152i \(0.170411\pi\)
\(54\) 7.06395 + 2.02500i 0.961282 + 0.275567i
\(55\) 0.616367 1.48804i 0.0831109 0.200648i
\(56\) 4.86403 + 5.23295i 0.649983 + 0.699282i
\(57\) −3.21787 + 2.35087i −0.426218 + 0.311380i
\(58\) 1.34141 1.95560i 0.176135 0.256782i
\(59\) −1.61569 + 2.41805i −0.210345 + 0.314803i −0.921608 0.388123i \(-0.873124\pi\)
0.711263 + 0.702926i \(0.248124\pi\)
\(60\) 3.38516 0.735333i 0.437022 0.0949310i
\(61\) −7.53033 1.49788i −0.964160 0.191783i −0.312183 0.950022i \(-0.601060\pi\)
−0.651977 + 0.758239i \(0.726060\pi\)
\(62\) −2.78025 + 6.48760i −0.353093 + 0.823926i
\(63\) 3.47568 + 6.73368i 0.437894 + 0.848364i
\(64\) 6.05460 5.22895i 0.756824 0.653618i
\(65\) 1.07141i 0.132892i
\(66\) 0.654344 3.89062i 0.0805442 0.478902i
\(67\) 2.21625 11.1418i 0.270758 1.36119i −0.570829 0.821069i \(-0.693378\pi\)
0.841587 0.540122i \(-0.181622\pi\)
\(68\) −9.94114 0.242091i −1.20554 0.0293578i
\(69\) 6.13683 + 2.24569i 0.738787 + 0.270350i
\(70\) 2.94580 + 2.02062i 0.352090 + 0.241510i
\(71\) −5.24577 + 2.17287i −0.622558 + 0.257872i −0.671587 0.740925i \(-0.734387\pi\)
0.0490295 + 0.998797i \(0.484387\pi\)
\(72\) 7.67717 3.61401i 0.904763 0.425915i
\(73\) −4.27949 1.77262i −0.500876 0.207470i 0.117917 0.993023i \(-0.462378\pi\)
−0.618793 + 0.785554i \(0.712378\pi\)
\(74\) −1.01201 + 0.658525i −0.117644 + 0.0765519i
\(75\) 1.57104 0.729271i 0.181408 0.0842089i
\(76\) −1.00734 + 4.49002i −0.115550 + 0.515041i
\(77\) 3.38273 2.26027i 0.385498 0.257581i
\(78\) 0.588267 + 2.55763i 0.0666082 + 0.289594i
\(79\) −10.8259 10.8259i −1.21801 1.21801i −0.968326 0.249687i \(-0.919672\pi\)
−0.249687 0.968326i \(-0.580328\pi\)
\(80\) 2.38154 3.21376i 0.266264 0.359310i
\(81\) 8.87391 1.50126i 0.985990 0.166807i
\(82\) 0.112078 0.109382i 0.0123769 0.0120792i
\(83\) −9.64161 + 6.44232i −1.05830 + 0.707136i −0.957694 0.287790i \(-0.907080\pi\)
−0.100610 + 0.994926i \(0.532080\pi\)
\(84\) 8.14153 + 3.20612i 0.888314 + 0.349817i
\(85\) −4.87651 + 0.969998i −0.528931 + 0.105211i
\(86\) 3.14171 + 0.664784i 0.338780 + 0.0716855i
\(87\) 0.446810 2.86984i 0.0479031 0.307679i
\(88\) −2.39096 3.87772i −0.254877 0.413367i
\(89\) −12.1021 + 5.01286i −1.28282 + 0.531362i −0.916838 0.399259i \(-0.869267\pi\)
−0.365983 + 0.930621i \(0.619267\pi\)
\(90\) 3.34991 2.60348i 0.353111 0.274431i
\(91\) −1.50354 + 2.25021i −0.157614 + 0.235886i
\(92\) 7.03960 2.71706i 0.733929 0.283273i
\(93\) 0.362080 + 8.63696i 0.0375459 + 0.895611i
\(94\) −6.65184 + 2.66088i −0.686085 + 0.274449i
\(95\) 2.30082i 0.236059i
\(96\) 3.92056 8.97938i 0.400141 0.916454i
\(97\) 0.469233i 0.0476434i 0.999716 + 0.0238217i \(0.00758341\pi\)
−0.999716 + 0.0238217i \(0.992417\pi\)
\(98\) −0.325490 0.813680i −0.0328794 0.0821941i
\(99\) −1.33600 4.64356i −0.134274 0.466696i
\(100\) 0.810124 1.82858i 0.0810124 0.182858i
\(101\) −3.79478 + 5.67929i −0.377595 + 0.565111i −0.970785 0.239952i \(-0.922868\pi\)
0.593190 + 0.805063i \(0.297868\pi\)
\(102\) −11.1084 + 4.99303i −1.09990 + 0.494384i
\(103\) −1.92201 + 0.796123i −0.189381 + 0.0784443i −0.475359 0.879792i \(-0.657682\pi\)
0.285978 + 0.958236i \(0.407682\pi\)
\(104\) 2.45653 + 1.77448i 0.240883 + 0.174002i
\(105\) 4.32296 + 0.673049i 0.421877 + 0.0656829i
\(106\) 3.17159 14.9887i 0.308052 1.45583i
\(107\) 12.1160 2.41003i 1.17130 0.232986i 0.429158 0.903229i \(-0.358810\pi\)
0.742142 + 0.670243i \(0.233810\pi\)
\(108\) 6.56731 8.05422i 0.631939 0.775018i
\(109\) 5.72085 3.82255i 0.547958 0.366134i −0.250564 0.968100i \(-0.580616\pi\)
0.798521 + 0.601967i \(0.205616\pi\)
\(110\) −1.59092 1.63013i −0.151688 0.155427i
\(111\) −0.769332 + 1.26287i −0.0730218 + 0.119867i
\(112\) 9.51176 3.40757i 0.898777 0.321985i
\(113\) 3.28149 + 3.28149i 0.308696 + 0.308696i 0.844404 0.535707i \(-0.179955\pi\)
−0.535707 + 0.844404i \(0.679955\pi\)
\(114\) 1.26329 + 5.49242i 0.118318 + 0.514412i
\(115\) 3.13703 2.09610i 0.292530 0.195462i
\(116\) −1.79479 2.83305i −0.166642 0.263042i
\(117\) 2.00315 + 2.51370i 0.185191 + 0.232391i
\(118\) 2.24313 + 3.44720i 0.206497 + 0.317341i
\(119\) −11.6030 4.80613i −1.06365 0.440577i
\(120\) 0.929898 4.80992i 0.0848877 0.439083i
\(121\) 7.76597 3.21677i 0.705997 0.292434i
\(122\) −6.14191 + 8.95410i −0.556063 + 0.810667i
\(123\) 0.0659134 0.180122i 0.00594321 0.0162411i
\(124\) 6.88431 + 7.22798i 0.618230 + 0.649092i
\(125\) 0.195090 0.980785i 0.0174494 0.0877241i
\(126\) 10.6891 0.766883i 0.952264 0.0683194i
\(127\) 0.606243i 0.0537954i 0.999638 + 0.0268977i \(0.00856283\pi\)
−0.999638 + 0.0268977i \(0.991437\pi\)
\(128\) −3.42421 10.7831i −0.302660 0.953099i
\(129\) 3.82190 0.928186i 0.336500 0.0817222i
\(130\) 1.39270 + 0.596841i 0.122148 + 0.0523464i
\(131\) −19.3247 3.84392i −1.68841 0.335845i −0.744894 0.667183i \(-0.767500\pi\)
−0.943512 + 0.331339i \(0.892500\pi\)
\(132\) −4.69282 3.01788i −0.408457 0.262673i
\(133\) −3.22881 + 4.83225i −0.279973 + 0.419010i
\(134\) −13.2484 9.08753i −1.14449 0.785043i
\(135\) 2.32243 4.64826i 0.199883 0.400058i
\(136\) −5.85251 + 12.7874i −0.501849 + 1.09651i
\(137\) 1.38073 3.33337i 0.117964 0.284789i −0.853858 0.520505i \(-0.825744\pi\)
0.971822 + 0.235716i \(0.0757435\pi\)
\(138\) 6.33772 6.72614i 0.539502 0.572567i
\(139\) 17.2378 3.42881i 1.46209 0.290828i 0.600987 0.799259i \(-0.294774\pi\)
0.861103 + 0.508431i \(0.169774\pi\)
\(140\) 4.26755 2.70357i 0.360674 0.228493i
\(141\) −5.93915 + 6.45890i −0.500167 + 0.543938i
\(142\) −0.0977515 + 8.02928i −0.00820313 + 0.673802i
\(143\) 1.22023 1.22023i 0.102040 0.102040i
\(144\) −0.421115 11.9926i −0.0350929 0.999384i
\(145\) −1.18572 1.18572i −0.0984687 0.0984687i
\(146\) −4.68813 + 4.57535i −0.387992 + 0.378659i
\(147\) −0.790079 0.726500i −0.0651646 0.0599207i
\(148\) 0.292251 + 1.68233i 0.0240229 + 0.138286i
\(149\) 0.0269648 + 0.135561i 0.00220904 + 0.0111056i 0.981874 0.189534i \(-0.0606979\pi\)
−0.979665 + 0.200640i \(0.935698\pi\)
\(150\) −0.0727975 2.44841i −0.00594389 0.199912i
\(151\) −15.9569 6.60957i −1.29856 0.537879i −0.377031 0.926201i \(-0.623055\pi\)
−0.921524 + 0.388321i \(0.873055\pi\)
\(152\) 5.27533 + 3.81064i 0.427886 + 0.309084i
\(153\) −9.62751 + 11.3931i −0.778338 + 0.921075i
\(154\) −1.05368 5.65624i −0.0849083 0.455793i
\(155\) 4.14981 + 2.77281i 0.333320 + 0.222718i
\(156\) 3.65230 + 0.660079i 0.292418 + 0.0528486i
\(157\) −2.75438 + 13.8472i −0.219823 + 1.10513i 0.700405 + 0.713745i \(0.253003\pi\)
−0.920229 + 0.391381i \(0.871997\pi\)
\(158\) −20.1031 + 8.04169i −1.59932 + 0.639763i
\(159\) −4.42825 18.2338i −0.351183 1.44603i
\(160\) −2.85084 4.88597i −0.225379 0.386270i
\(161\) 9.53002 0.751071
\(162\) 2.99185 12.3713i 0.235062 0.971980i
\(163\) 20.2967 + 4.03727i 1.58976 + 0.316223i 0.909166 0.416435i \(-0.136721\pi\)
0.680597 + 0.732658i \(0.261721\pi\)
\(164\) −0.0797485 0.206620i −0.00622731 0.0161343i
\(165\) −2.61982 0.958689i −0.203953 0.0746338i
\(166\) 3.00326 + 16.1217i 0.233098 + 1.25128i
\(167\) −8.52477 20.5806i −0.659667 1.59258i −0.798319 0.602235i \(-0.794277\pi\)
0.138652 0.990341i \(-0.455723\pi\)
\(168\) 8.70290 8.79699i 0.671444 0.678702i
\(169\) 4.53560 10.9499i 0.348892 0.842300i
\(170\) −1.45564 + 6.87921i −0.111642 + 0.527612i
\(171\) 4.30170 + 5.39808i 0.328959 + 0.412802i
\(172\) 2.61427 3.71352i 0.199336 0.283153i
\(173\) −1.89330 2.83353i −0.143945 0.215429i 0.752491 0.658603i \(-0.228852\pi\)
−0.896436 + 0.443174i \(0.853852\pi\)
\(174\) −3.48154 2.17947i −0.263935 0.165225i
\(175\) 1.78610 1.78610i 0.135017 0.135017i
\(176\) −6.37248 + 0.947822i −0.480344 + 0.0714448i
\(177\) 4.30173 + 2.62058i 0.323338 + 0.196975i
\(178\) −0.225515 + 18.5237i −0.0169031 + 1.38841i
\(179\) −3.13337 4.68943i −0.234199 0.350504i 0.695691 0.718341i \(-0.255098\pi\)
−0.929890 + 0.367837i \(0.880098\pi\)
\(180\) −1.51810 5.80477i −0.113153 0.432662i
\(181\) −3.51297 17.6609i −0.261117 1.31272i −0.859344 0.511397i \(-0.829128\pi\)
0.598227 0.801326i \(-0.295872\pi\)
\(182\) 2.08743 + 3.20793i 0.154731 + 0.237787i
\(183\) −2.04581 + 13.1401i −0.151231 + 0.971347i
\(184\) 0.389644 10.6642i 0.0287249 0.786175i
\(185\) 0.326720 + 0.788772i 0.0240209 + 0.0579917i
\(186\) 11.4287 + 4.34066i 0.837992 + 0.318272i
\(187\) 6.65857 + 4.44912i 0.486923 + 0.325352i
\(188\) −0.246662 + 10.1289i −0.0179897 + 0.738723i
\(189\) 11.4007 6.50328i 0.829279 0.473044i
\(190\) 2.99078 + 1.28170i 0.216974 + 0.0929841i
\(191\) −12.1089 −0.876169 −0.438085 0.898934i \(-0.644343\pi\)
−0.438085 + 0.898934i \(0.644343\pi\)
\(192\) −9.48810 10.0983i −0.684744 0.728783i
\(193\) −26.6847 −1.92081 −0.960405 0.278609i \(-0.910127\pi\)
−0.960405 + 0.278609i \(0.910127\pi\)
\(194\) 0.609946 + 0.261392i 0.0437916 + 0.0187668i
\(195\) 1.85411 0.0777282i 0.132775 0.00556623i
\(196\) −1.23900 0.0301727i −0.0885001 0.00215519i
\(197\) −5.10176 3.40888i −0.363485 0.242873i 0.360393 0.932800i \(-0.382642\pi\)
−0.723879 + 0.689927i \(0.757642\pi\)
\(198\) −6.78030 0.850107i −0.481855 0.0604145i
\(199\) −7.48686 18.0749i −0.530729 1.28129i −0.931041 0.364915i \(-0.881098\pi\)
0.400312 0.916379i \(-0.368902\pi\)
\(200\) −1.92564 2.07169i −0.136163 0.146491i
\(201\) −19.4421 3.02697i −1.37134 0.213506i
\(202\) 5.26846 + 8.09647i 0.370688 + 0.569665i
\(203\) −0.826331 4.15425i −0.0579971 0.291571i
\(204\) 0.302261 + 17.2210i 0.0211625 + 1.20571i
\(205\) −0.0615226 0.0920751i −0.00429693 0.00643081i
\(206\) −0.0358154 + 2.94187i −0.00249538 + 0.204970i
\(207\) 3.44103 10.7829i 0.239168 0.749463i
\(208\) 3.67505 2.20470i 0.254819 0.152868i
\(209\) 2.62040 2.62040i 0.181257 0.181257i
\(210\) 3.28303 5.24439i 0.226551 0.361897i
\(211\) 11.6914 + 17.4975i 0.804871 + 1.20458i 0.975665 + 0.219268i \(0.0703670\pi\)
−0.170793 + 0.985307i \(0.554633\pi\)
\(212\) −17.7167 12.4723i −1.21679 0.856601i
\(213\) 4.14078 + 8.92032i 0.283722 + 0.611210i
\(214\) 3.61663 17.0919i 0.247228 1.16838i
\(215\) 0.868966 2.09787i 0.0592630 0.143073i
\(216\) −6.81111 13.0234i −0.463438 0.886130i
\(217\) 4.82439 + 11.6471i 0.327501 + 0.790657i
\(218\) −1.78198 9.56579i −0.120691 0.647877i
\(219\) −2.75711 + 7.53438i −0.186308 + 0.509126i
\(220\) −3.00521 + 1.15992i −0.202611 + 0.0782015i
\(221\) −5.22474 1.03926i −0.351454 0.0699085i
\(222\) 1.21302 + 1.70354i 0.0814123 + 0.114334i
\(223\) −23.6640 −1.58466 −0.792331 0.610092i \(-0.791133\pi\)
−0.792331 + 0.610092i \(0.791133\pi\)
\(224\) 0.869208 14.2623i 0.0580764 0.952943i
\(225\) −1.37600 2.66582i −0.0917334 0.177722i
\(226\) 6.09352 2.43754i 0.405335 0.162143i
\(227\) −1.00537 + 5.05436i −0.0667291 + 0.335470i −0.999700 0.0244813i \(-0.992207\pi\)
0.932971 + 0.359951i \(0.117207\pi\)
\(228\) 7.84320 + 1.41750i 0.519429 + 0.0938762i
\(229\) 16.1855 + 10.8148i 1.06957 + 0.714663i 0.960193 0.279337i \(-0.0901148\pi\)
0.109376 + 0.994000i \(0.465115\pi\)
\(230\) −0.977152 5.24541i −0.0644315 0.345872i
\(231\) −4.15687 5.68994i −0.273502 0.374371i
\(232\) −4.68243 + 0.754823i −0.307417 + 0.0495565i
\(233\) 17.2061 + 7.12698i 1.12721 + 0.466904i 0.866830 0.498603i \(-0.166154\pi\)
0.260376 + 0.965507i \(0.416154\pi\)
\(234\) 4.38337 1.20356i 0.286550 0.0786795i
\(235\) 0.988314 + 4.96859i 0.0644705 + 0.324115i
\(236\) 5.73051 0.995495i 0.373024 0.0648012i
\(237\) −17.9492 + 19.5200i −1.16593 + 1.26796i
\(238\) −12.7110 + 12.4052i −0.823931 + 0.804110i
\(239\) −5.56958 5.56958i −0.360266 0.360266i 0.503645 0.863911i \(-0.331992\pi\)
−0.863911 + 0.503645i \(0.831992\pi\)
\(240\) −5.73429 3.88817i −0.370147 0.250980i
\(241\) 10.3957 10.3957i 0.669644 0.669644i −0.287989 0.957634i \(-0.592987\pi\)
0.957634 + 0.287989i \(0.0929867\pi\)
\(242\) 0.144714 11.8867i 0.00930256 0.764109i
\(243\) −3.24176 15.2477i −0.207959 0.978137i
\(244\) 8.21782 + 12.9717i 0.526092 + 0.830430i
\(245\) −0.607778 + 0.120894i −0.0388295 + 0.00772367i
\(246\) −0.197419 0.186018i −0.0125870 0.0118601i
\(247\) −0.943360 + 2.27747i −0.0600245 + 0.144912i
\(248\) 13.2305 4.92234i 0.840136 0.312569i
\(249\) 11.8481 + 16.2177i 0.750843 + 1.02776i
\(250\) −1.16622 0.799951i −0.0737585 0.0505934i
\(251\) −2.18096 + 3.26404i −0.137661 + 0.206025i −0.893894 0.448278i \(-0.852038\pi\)
0.756233 + 0.654302i \(0.227038\pi\)
\(252\) 4.95765 14.3218i 0.312303 0.902187i
\(253\) −5.96000 1.18552i −0.374702 0.0745329i
\(254\) 0.788042 + 0.337715i 0.0494461 + 0.0211901i
\(255\) 2.03239 + 8.36858i 0.127273 + 0.524061i
\(256\) −15.9242 1.55578i −0.995261 0.0972364i
\(257\) 19.5549i 1.21980i −0.792479 0.609899i \(-0.791210\pi\)
0.792479 0.609899i \(-0.208790\pi\)
\(258\) 0.922506 5.48506i 0.0574327 0.341485i
\(259\) −0.420720 + 2.11510i −0.0261423 + 0.131426i
\(260\) 1.55164 1.47786i 0.0962287 0.0916533i
\(261\) −4.99875 0.565019i −0.309415 0.0349738i
\(262\) −15.7617 + 22.9784i −0.973759 + 1.41961i
\(263\) 13.9244 5.76766i 0.858613 0.355649i 0.0904482 0.995901i \(-0.471170\pi\)
0.768165 + 0.640252i \(0.221170\pi\)
\(264\) −6.53706 + 4.41895i −0.402328 + 0.271967i
\(265\) −10.0086 4.14571i −0.614826 0.254669i
\(266\) 4.48269 + 6.88892i 0.274852 + 0.422387i
\(267\) 9.55289 + 20.5794i 0.584627 + 1.25944i
\(268\) −19.1929 + 12.1590i −1.17239 + 0.742730i
\(269\) 18.3536 12.2635i 1.11904 0.747718i 0.148560 0.988903i \(-0.452536\pi\)
0.970479 + 0.241186i \(0.0775362\pi\)
\(270\) −4.74843 5.60825i −0.288980 0.341307i
\(271\) 2.20350 + 2.20350i 0.133853 + 0.133853i 0.770859 0.637006i \(-0.219827\pi\)
−0.637006 + 0.770859i \(0.719827\pi\)
\(272\) 13.3619 + 14.7309i 0.810182 + 0.893194i
\(273\) 4.00313 + 2.43868i 0.242281 + 0.147596i
\(274\) −3.56383 3.65167i −0.215299 0.220606i
\(275\) −1.33920 + 0.894827i −0.0807569 + 0.0539601i
\(276\) −5.21266 11.9851i −0.313765 0.721420i
\(277\) 3.48459 0.693129i 0.209369 0.0416461i −0.0892914 0.996006i \(-0.528460\pi\)
0.298660 + 0.954359i \(0.403460\pi\)
\(278\) 5.14547 24.3171i 0.308605 1.45844i
\(279\) 14.9203 1.25318i 0.893252 0.0750260i
\(280\) −1.13702 7.05335i −0.0679501 0.421518i
\(281\) 6.98120 2.89171i 0.416464 0.172505i −0.164605 0.986360i \(-0.552635\pi\)
0.581068 + 0.813855i \(0.302635\pi\)
\(282\) 5.08731 + 11.3182i 0.302945 + 0.673988i
\(283\) −5.79540 + 8.67344i −0.344501 + 0.515582i −0.962747 0.270402i \(-0.912843\pi\)
0.618246 + 0.785984i \(0.287843\pi\)
\(284\) 10.3826 + 4.59986i 0.616095 + 0.272952i
\(285\) 3.98164 0.166919i 0.235852 0.00988741i
\(286\) −0.906404 2.26589i −0.0535968 0.133985i
\(287\) 0.279716i 0.0165111i
\(288\) −15.8235 6.13322i −0.932409 0.361404i
\(289\) 7.72122i 0.454189i
\(290\) −2.20181 + 0.880773i −0.129295 + 0.0517208i
\(291\) 0.812023 0.0340418i 0.0476016 0.00199556i
\(292\) 3.33582 + 8.64274i 0.195214 + 0.505778i
\(293\) −12.2310 + 18.3049i −0.714540 + 1.06938i 0.279476 + 0.960153i \(0.409839\pi\)
−0.994016 + 0.109232i \(0.965161\pi\)
\(294\) −1.38448 + 0.622300i −0.0807448 + 0.0362933i
\(295\) 2.68679 1.11291i 0.156431 0.0647959i
\(296\) 2.34962 + 0.557268i 0.136569 + 0.0323905i
\(297\) −7.93891 + 2.64888i −0.460662 + 0.153703i
\(298\) 0.191234 + 0.0404650i 0.0110779 + 0.00234407i
\(299\) 3.96462 0.788613i 0.229280 0.0456066i
\(300\) −3.22318 1.26929i −0.186091 0.0732822i
\(301\) 4.76903 3.18657i 0.274883 0.183671i
\(302\) −17.4806 + 17.0601i −1.00590 + 0.981699i
\(303\) 10.1035 + 6.15497i 0.580430 + 0.353594i
\(304\) 7.89205 4.73452i 0.452640 0.271544i
\(305\) 5.42907 + 5.42907i 0.310868 + 0.310868i
\(306\) 9.44648 + 18.8612i 0.540020 + 1.07822i
\(307\) 24.4837 16.3595i 1.39736 0.933687i 0.397490 0.917606i \(-0.369881\pi\)
0.999871 0.0160802i \(-0.00511870\pi\)
\(308\) −7.93939 1.78121i −0.452389 0.101494i
\(309\) 1.51715 + 3.26834i 0.0863077 + 0.185929i
\(310\) 5.91601 3.84961i 0.336007 0.218643i
\(311\) −8.99525 3.72595i −0.510074 0.211279i 0.112777 0.993620i \(-0.464025\pi\)
−0.622850 + 0.782341i \(0.714025\pi\)
\(312\) 2.89258 4.37984i 0.163760 0.247960i
\(313\) 15.8402 6.56123i 0.895342 0.370863i 0.112914 0.993605i \(-0.463981\pi\)
0.782427 + 0.622742i \(0.213981\pi\)
\(314\) 16.4653 + 11.2941i 0.929191 + 0.637362i
\(315\) 0.851113 7.52984i 0.0479548 0.424258i
\(316\) −0.745459 + 30.6113i −0.0419353 + 1.72202i
\(317\) −0.000568099 0.00285603i −3.19076e−5 0.000160411i −0.980801 0.195010i \(-0.937526\pi\)
0.980769 + 0.195171i \(0.0625260\pi\)
\(318\) −26.1685 4.40115i −1.46745 0.246804i
\(319\) 2.70083i 0.151217i
\(320\) −7.93926 + 0.983957i −0.443818 + 0.0550048i
\(321\) −5.04961 20.7923i −0.281842 1.16051i
\(322\) 5.30880 12.3879i 0.295848 0.690348i
\(323\) −11.2200 2.23179i −0.624295 0.124180i
\(324\) −14.4145 10.7806i −0.800807 0.598923i
\(325\) 0.595243 0.890844i 0.0330181 0.0494152i
\(326\) 16.5545 24.1343i 0.916868 1.33667i
\(327\) −7.03007 9.62278i −0.388764 0.532141i
\(328\) −0.313005 0.0114365i −0.0172828 0.000631472i
\(329\) −4.89689 + 11.8221i −0.269974 + 0.651775i
\(330\) −2.70558 + 2.87140i −0.148937 + 0.158065i
\(331\) 27.7143 5.51273i 1.52332 0.303007i 0.638749 0.769416i \(-0.279452\pi\)
0.884569 + 0.466409i \(0.154452\pi\)
\(332\) 22.6292 + 5.07690i 1.24194 + 0.278631i
\(333\) 2.24125 + 1.23974i 0.122820 + 0.0679371i
\(334\) −31.5011 0.383507i −1.72366 0.0209846i
\(335\) −8.03281 + 8.03281i −0.438879 + 0.438879i
\(336\) −6.58696 16.2132i −0.359348 0.884501i
\(337\) 22.0273 + 22.0273i 1.19990 + 1.19990i 0.974196 + 0.225705i \(0.0724686\pi\)
0.225705 + 0.974196i \(0.427531\pi\)
\(338\) −11.7069 11.9955i −0.636773 0.652468i
\(339\) 5.44065 5.91678i 0.295496 0.321355i
\(340\) 8.13126 + 5.72429i 0.440979 + 0.310443i
\(341\) −1.56826 7.88416i −0.0849258 0.426951i
\(342\) 9.41316 2.58462i 0.509005 0.139760i
\(343\) −17.7817 7.36542i −0.960122 0.397695i
\(344\) −3.37082 5.46689i −0.181742 0.294755i
\(345\) −3.85495 5.27666i −0.207543 0.284086i
\(346\) −4.73792 + 0.882613i −0.254712 + 0.0474496i
\(347\) −13.4739 9.00295i −0.723315 0.483304i 0.138605 0.990348i \(-0.455738\pi\)
−0.861920 + 0.507044i \(0.830738\pi\)
\(348\) −4.77248 + 3.31147i −0.255832 + 0.177513i
\(349\) 0.514040 2.58425i 0.0275159 0.138332i −0.964585 0.263771i \(-0.915034\pi\)
0.992101 + 0.125439i \(0.0400338\pi\)
\(350\) −1.32675 3.31668i −0.0709175 0.177284i
\(351\) 4.20470 3.64887i 0.224430 0.194762i
\(352\) −2.31781 + 8.81144i −0.123540 + 0.469651i
\(353\) 26.1938 1.39415 0.697077 0.716996i \(-0.254483\pi\)
0.697077 + 0.716996i \(0.254483\pi\)
\(354\) 5.80276 4.13190i 0.308413 0.219608i
\(355\) 5.56888 + 1.10772i 0.295565 + 0.0587916i
\(356\) 23.9530 + 10.6120i 1.26951 + 0.562435i
\(357\) −7.47539 + 20.4281i −0.395639 + 1.08117i
\(358\) −7.84116 + 1.46071i −0.414418 + 0.0772007i
\(359\) 3.70332 + 8.94061i 0.195454 + 0.471867i 0.990973 0.134061i \(-0.0428018\pi\)
−0.795519 + 0.605928i \(0.792802\pi\)
\(360\) −8.39117 1.26027i −0.442253 0.0664220i
\(361\) 5.24515 12.6629i 0.276061 0.666469i
\(362\) −24.9139 5.27177i −1.30945 0.277078i
\(363\) −6.13012 13.2059i −0.321748 0.693129i
\(364\) 5.33274 0.926395i 0.279511 0.0485563i
\(365\) 2.57345 + 3.85144i 0.134700 + 0.201593i
\(366\) 15.9409 + 9.97917i 0.833246 + 0.521620i
\(367\) 22.1495 22.1495i 1.15619 1.15619i 0.170907 0.985287i \(-0.445330\pi\)
0.985287 0.170907i \(-0.0546698\pi\)
\(368\) −13.6451 6.44710i −0.711299 0.336078i
\(369\) −0.316489 0.100998i −0.0164758 0.00525773i
\(370\) 1.20731 + 0.0146983i 0.0627651 + 0.000764127i
\(371\) −15.2027 22.7524i −0.789283 1.18125i
\(372\) 12.0088 12.4379i 0.622627 0.644874i
\(373\) 0.728316 + 3.66149i 0.0377108 + 0.189585i 0.995049 0.0993846i \(-0.0316874\pi\)
−0.957338 + 0.288969i \(0.906687\pi\)
\(374\) 9.49254 6.17690i 0.490848 0.319400i
\(375\) −1.71143 0.266456i −0.0883780 0.0137597i
\(376\) 13.0289 + 5.96303i 0.671913 + 0.307520i
\(377\) −0.687531 1.65985i −0.0354097 0.0854865i
\(378\) −2.10259 18.4422i −0.108145 0.948566i
\(379\) −15.2798 10.2097i −0.784872 0.524435i 0.0973601 0.995249i \(-0.468960\pi\)
−0.882232 + 0.470814i \(0.843960\pi\)
\(380\) 3.33210 3.17367i 0.170933 0.162806i
\(381\) 1.04912 0.0439815i 0.0537481 0.00225324i
\(382\) −6.74540 + 15.7401i −0.345125 + 0.805333i
\(383\) −0.661932 −0.0338231 −0.0169116 0.999857i \(-0.505383\pi\)
−0.0169116 + 0.999857i \(0.505383\pi\)
\(384\) −18.4120 + 6.70799i −0.939585 + 0.342316i
\(385\) −4.06837 −0.207344
\(386\) −14.8650 + 34.6869i −0.756610 + 1.76552i
\(387\) −1.88352 6.54658i −0.0957449 0.332781i
\(388\) 0.679555 0.647244i 0.0344992 0.0328588i
\(389\) 13.7921 + 9.21558i 0.699287 + 0.467248i 0.853705 0.520757i \(-0.174350\pi\)
−0.154418 + 0.988006i \(0.549350\pi\)
\(390\) 0.931814 2.45341i 0.0471843 0.124233i
\(391\) 7.17872 + 17.3310i 0.363044 + 0.876465i
\(392\) −0.729421 + 1.59374i −0.0368413 + 0.0804962i
\(393\) −5.25006 + 33.7208i −0.264831 + 1.70099i
\(394\) −7.27313 + 4.73270i −0.366415 + 0.238430i
\(395\) 2.98687 + 15.0160i 0.150286 + 0.755538i
\(396\) −4.88208 + 8.34001i −0.245334 + 0.419101i
\(397\) 10.0550 + 15.0484i 0.504647 + 0.755258i 0.993092 0.117337i \(-0.0374357\pi\)
−0.488445 + 0.872595i \(0.662436\pi\)
\(398\) −27.6658 0.336814i −1.38676 0.0168830i
\(399\) 8.59661 + 5.23698i 0.430369 + 0.262177i
\(400\) −3.76565 + 1.34904i −0.188282 + 0.0674518i
\(401\) −16.0793 + 16.0793i −0.802963 + 0.802963i −0.983558 0.180595i \(-0.942198\pi\)
0.180595 + 0.983558i \(0.442198\pi\)
\(402\) −14.7651 + 23.5861i −0.736417 + 1.17637i
\(403\) 2.97082 + 4.44614i 0.147987 + 0.221478i
\(404\) 13.4593 2.33812i 0.669624 0.116326i
\(405\) −8.21244 3.68182i −0.408079 0.182951i
\(406\) −5.86033 1.24004i −0.290843 0.0615422i
\(407\) 0.526230 1.27043i 0.0260843 0.0629730i
\(408\) 22.5536 + 9.20026i 1.11657 + 0.455481i
\(409\) −2.93979 7.09728i −0.145363 0.350938i 0.834382 0.551187i \(-0.185825\pi\)
−0.979745 + 0.200249i \(0.935825\pi\)
\(410\) −0.153958 + 0.0286804i −0.00760346 + 0.00141642i
\(411\) −5.86868 2.14757i −0.289480 0.105932i
\(412\) 3.80412 + 1.68536i 0.187415 + 0.0830316i
\(413\) 7.20467 + 1.43310i 0.354519 + 0.0705181i
\(414\) −12.0996 10.4796i −0.594662 0.515047i
\(415\) 11.5959 0.569219
\(416\) −0.818612 6.00527i −0.0401358 0.294433i
\(417\) −7.18422 29.5818i −0.351813 1.44863i
\(418\) −1.94647 4.86592i −0.0952052 0.238000i
\(419\) 0.0406751 0.204488i 0.00198711 0.00998988i −0.979779 0.200083i \(-0.935879\pi\)
0.981766 + 0.190093i \(0.0608789\pi\)
\(420\) −4.98821 7.18899i −0.243400 0.350787i
\(421\) 4.89688 + 3.27199i 0.238659 + 0.159467i 0.669149 0.743129i \(-0.266659\pi\)
−0.430489 + 0.902596i \(0.641659\pi\)
\(422\) 29.2574 5.45027i 1.42423 0.265315i
\(423\) 11.6082 + 9.80930i 0.564410 + 0.476945i
\(424\) −26.0817 + 16.0817i −1.26664 + 0.780996i
\(425\) 4.59357 + 1.90272i 0.222821 + 0.0922954i
\(426\) 13.9020 0.413342i 0.673554 0.0200265i
\(427\) 3.78353 + 19.0211i 0.183098 + 0.920495i
\(428\) −20.2027 14.2224i −0.976533 0.687466i
\(429\) −2.20016 2.02311i −0.106225 0.0976769i
\(430\) −2.24291 2.29819i −0.108163 0.110829i
\(431\) 23.2684 + 23.2684i 1.12080 + 1.12080i 0.991622 + 0.129175i \(0.0412330\pi\)
0.129175 + 0.991622i \(0.458767\pi\)
\(432\) −20.7230 + 1.59879i −0.997037 + 0.0769216i
\(433\) 19.9489 19.9489i 0.958682 0.958682i −0.0404977 0.999180i \(-0.512894\pi\)
0.999180 + 0.0404977i \(0.0128944\pi\)
\(434\) 17.8273 + 0.217036i 0.855737 + 0.0104181i
\(435\) −1.96590 + 2.13795i −0.0942579 + 0.102507i
\(436\) −13.4270 3.01238i −0.643038 0.144267i
\(437\) 8.51390 1.69352i 0.407275 0.0810121i
\(438\) 8.25790 + 7.78102i 0.394578 + 0.371791i
\(439\) 3.07196 7.41636i 0.146617 0.353964i −0.833461 0.552578i \(-0.813644\pi\)
0.980078 + 0.198614i \(0.0636441\pi\)
\(440\) −0.166339 + 4.55255i −0.00792992 + 0.217035i
\(441\) −1.19991 + 1.41996i −0.0571387 + 0.0676172i
\(442\) −4.26142 + 6.21258i −0.202695 + 0.295502i
\(443\) 2.85713 4.27599i 0.135746 0.203158i −0.757368 0.652988i \(-0.773515\pi\)
0.893114 + 0.449829i \(0.148515\pi\)
\(444\) 2.89011 0.627798i 0.137159 0.0297940i
\(445\) 12.8475 + 2.55553i 0.609032 + 0.121144i
\(446\) −13.1823 + 30.7604i −0.624201 + 1.45655i
\(447\) 0.232637 0.0564981i 0.0110033 0.00267227i
\(448\) −18.0551 9.07487i −0.853024 0.428747i
\(449\) 16.6884i 0.787573i 0.919202 + 0.393786i \(0.128835\pi\)
−0.919202 + 0.393786i \(0.871165\pi\)
\(450\) −4.23176 + 0.303604i −0.199487 + 0.0143120i
\(451\) −0.0347962 + 0.174932i −0.00163849 + 0.00823723i
\(452\) 0.225958 9.27870i 0.0106282 0.436433i
\(453\) −10.2804 + 28.0934i −0.483017 + 1.31994i
\(454\) 6.01000 + 4.12245i 0.282063 + 0.193476i
\(455\) 2.50030 1.03566i 0.117216 0.0485524i
\(456\) 6.21172 9.40557i 0.290891 0.440456i
\(457\) −20.9382 8.67287i −0.979446 0.405700i −0.165226 0.986256i \(-0.552835\pi\)
−0.814220 + 0.580556i \(0.802835\pi\)
\(458\) 23.0743 15.0147i 1.07819 0.701590i
\(459\) 20.4145 + 15.8342i 0.952868 + 0.739075i
\(460\) −7.36273 1.65184i −0.343289 0.0770174i
\(461\) −3.91190 + 2.61385i −0.182196 + 0.121739i −0.643323 0.765595i \(-0.722445\pi\)
0.461128 + 0.887334i \(0.347445\pi\)
\(462\) −9.71186 + 2.23378i −0.451837 + 0.103925i
\(463\) 5.13941 + 5.13941i 0.238849 + 0.238849i 0.816373 0.577525i \(-0.195981\pi\)
−0.577525 + 0.816373i \(0.695981\pi\)
\(464\) −1.62722 + 6.50707i −0.0755420 + 0.302083i
\(465\) 4.49738 7.38253i 0.208561 0.342356i
\(466\) 18.8490 18.3956i 0.873164 0.852160i
\(467\) −5.30296 + 3.54333i −0.245392 + 0.163966i −0.672184 0.740384i \(-0.734644\pi\)
0.426792 + 0.904350i \(0.359644\pi\)
\(468\) 0.877321 6.36831i 0.0405542 0.294375i
\(469\) −28.1434 + 5.59808i −1.29954 + 0.258495i
\(470\) 7.00911 + 1.48312i 0.323306 + 0.0684113i
\(471\) 24.1628 + 3.76196i 1.11336 + 0.173342i
\(472\) 1.89822 8.00351i 0.0873728 0.368391i
\(473\) −3.37892 + 1.39960i −0.155363 + 0.0643535i
\(474\) 15.3748 + 34.2057i 0.706189 + 1.57112i
\(475\) 1.27827 1.91306i 0.0586509 0.0877772i
\(476\) 9.04446 + 23.4332i 0.414552 + 1.07406i
\(477\) −31.2328 + 8.98603i −1.43005 + 0.411442i
\(478\) −10.3424 + 4.13718i −0.473049 + 0.189230i
\(479\) 32.1184i 1.46753i 0.679404 + 0.733765i \(0.262239\pi\)
−0.679404 + 0.733765i \(0.737761\pi\)
\(480\) −8.24850 + 5.28793i −0.376491 + 0.241360i
\(481\) 0.914727i 0.0417080i
\(482\) −7.72208 19.3041i −0.351731 0.879280i
\(483\) −0.691380 16.4920i −0.0314589 0.750411i
\(484\) −15.3707 6.80976i −0.698668 0.309534i
\(485\) 0.260692 0.390153i 0.0118374 0.0177160i
\(486\) −21.6260 4.27998i −0.980973 0.194144i
\(487\) 22.7425 9.42027i 1.03056 0.426873i 0.197647 0.980273i \(-0.436670\pi\)
0.832916 + 0.553400i \(0.186670\pi\)
\(488\) 21.4395 3.45611i 0.970520 0.156451i
\(489\) 5.51414 35.4170i 0.249358 1.60161i
\(490\) −0.181421 + 0.857382i −0.00819578 + 0.0387326i
\(491\) 11.7783 2.34285i 0.531546 0.105731i 0.0779822 0.996955i \(-0.475152\pi\)
0.453564 + 0.891224i \(0.350152\pi\)
\(492\) −0.351776 + 0.152997i −0.0158593 + 0.00689764i
\(493\) 6.93232 4.63203i 0.312216 0.208616i
\(494\) 2.43493 + 2.49494i 0.109553 + 0.112253i
\(495\) −1.46898 + 4.60323i −0.0660257 + 0.206900i
\(496\) 0.971752 19.9401i 0.0436330 0.895335i
\(497\) 10.1414 + 10.1414i 0.454906 + 0.454906i
\(498\) 27.6812 6.36682i 1.24042 0.285304i
\(499\) −1.40249 + 0.937117i −0.0627843 + 0.0419511i −0.586566 0.809901i \(-0.699521\pi\)
0.523782 + 0.851852i \(0.324521\pi\)
\(500\) −1.68950 + 1.07033i −0.0755566 + 0.0478665i
\(501\) −34.9970 + 16.2455i −1.56355 + 0.725793i
\(502\) 3.02793 + 4.65326i 0.135143 + 0.207685i
\(503\) 21.4968 + 8.90428i 0.958497 + 0.397022i 0.806418 0.591346i \(-0.201403\pi\)
0.152079 + 0.988368i \(0.451403\pi\)
\(504\) −15.8548 14.4224i −0.706231 0.642427i
\(505\) 6.31049 2.61389i 0.280813 0.116317i
\(506\) −4.86112 + 7.08687i −0.216103 + 0.315050i
\(507\) −19.2782 7.05460i −0.856174 0.313306i
\(508\) 0.877975 0.836230i 0.0389539 0.0371017i
\(509\) 4.41384 22.1899i 0.195640 0.983549i −0.750766 0.660569i \(-0.770315\pi\)
0.946406 0.322980i \(-0.104685\pi\)
\(510\) 12.0103 + 2.01995i 0.531825 + 0.0894450i
\(511\) 11.7003i 0.517591i
\(512\) −10.8931 + 19.8328i −0.481410 + 0.876495i
\(513\) 9.02947 7.83584i 0.398661 0.345961i
\(514\) −25.4189 10.8933i −1.12118 0.480481i
\(515\) 2.04039 + 0.405860i 0.0899105 + 0.0178843i
\(516\) −6.61602 4.25466i −0.291254 0.187301i
\(517\) 4.53313 6.78431i 0.199367 0.298373i
\(518\) 2.51501 + 1.72513i 0.110503 + 0.0757977i
\(519\) −4.76615 + 3.48198i −0.209211 + 0.152842i
\(520\) −1.05668 2.84020i −0.0463387 0.124551i
\(521\) 7.11760 17.1834i 0.311828 0.752819i −0.687810 0.725891i \(-0.741428\pi\)
0.999637 0.0269278i \(-0.00857241\pi\)
\(522\) −3.51907 + 6.18302i −0.154025 + 0.270623i
\(523\) −8.78136 + 1.74672i −0.383982 + 0.0763788i −0.383307 0.923621i \(-0.625215\pi\)
−0.000675031 1.00000i \(0.500215\pi\)
\(524\) 21.0889 + 33.2886i 0.921275 + 1.45422i
\(525\) −3.22048 2.96133i −0.140553 0.129243i
\(526\) 0.259472 21.3129i 0.0113135 0.929287i
\(527\) −17.5469 + 17.5469i −0.764357 + 0.764357i
\(528\) 2.10254 + 10.9590i 0.0915015 + 0.476930i
\(529\) 6.19808 + 6.19808i 0.269482 + 0.269482i
\(530\) −10.9643 + 10.7006i −0.476261 + 0.464804i
\(531\) 4.22291 7.63439i 0.183259 0.331304i
\(532\) 11.4519 1.98941i 0.496502 0.0862516i
\(533\) −0.0231466 0.116366i −0.00100259 0.00504036i
\(534\) 32.0723 0.953592i 1.38790 0.0412659i
\(535\) −11.4130 4.72744i −0.493429 0.204385i
\(536\) 5.11364 + 31.7217i 0.220876 + 1.37017i
\(537\) −7.88788 + 5.76261i −0.340387 + 0.248675i
\(538\) −5.71695 30.6890i −0.246475 1.32309i
\(539\) 0.829883 + 0.554510i 0.0357456 + 0.0238844i
\(540\) −9.93520 + 3.04824i −0.427543 + 0.131175i
\(541\) 1.31313 6.60154i 0.0564558 0.283822i −0.942236 0.334949i \(-0.891281\pi\)
0.998692 + 0.0511262i \(0.0162811\pi\)
\(542\) 4.09176 1.63679i 0.175756 0.0703063i
\(543\) −30.3079 + 7.36056i −1.30063 + 0.315872i
\(544\) 26.5918 9.16276i 1.14011 0.392850i
\(545\) −6.88040 −0.294724
\(546\) 5.39998 3.84509i 0.231098 0.164555i
\(547\) −8.56950 1.70458i −0.366405 0.0728825i 0.00845400 0.999964i \(-0.497309\pi\)
−0.374859 + 0.927082i \(0.622309\pi\)
\(548\) −6.73200 + 2.59834i −0.287577 + 0.110995i
\(549\) 22.8878 + 2.58706i 0.976829 + 0.110413i
\(550\) 0.417147 + 2.23927i 0.0177872 + 0.0954829i
\(551\) −1.47645 3.56447i −0.0628990 0.151852i
\(552\) −18.4830 + 0.0993701i −0.786688 + 0.00422947i
\(553\) −14.7993 + 35.7287i −0.629331 + 1.51934i
\(554\) 1.04015 4.91566i 0.0441917 0.208846i
\(555\) 1.34129 0.622623i 0.0569347 0.0264289i
\(556\) −28.7429 20.2346i −1.21897 0.858138i
\(557\) −20.8881 31.2612i −0.885056 1.32458i −0.945234 0.326392i \(-0.894167\pi\)
0.0601782 0.998188i \(-0.480833\pi\)
\(558\) 6.68251 20.0926i 0.282893 0.850588i
\(559\) 1.72030 1.72030i 0.0727608 0.0727608i
\(560\) −9.80188 2.45116i −0.414205 0.103580i
\(561\) 7.21627 11.8456i 0.304671 0.500123i
\(562\) 0.130090 10.6856i 0.00548753 0.450744i
\(563\) 21.6831 + 32.4511i 0.913835 + 1.36765i 0.929913 + 0.367780i \(0.119882\pi\)
−0.0160783 + 0.999871i \(0.505118\pi\)
\(564\) 17.5462 0.307968i 0.738828 0.0129678i
\(565\) −0.905360 4.55155i −0.0380888 0.191485i
\(566\) 8.04601 + 12.3650i 0.338199 + 0.519738i
\(567\) −12.0812 19.2575i −0.507364 0.808737i
\(568\) 11.7630 10.9337i 0.493565 0.458769i
\(569\) 11.1604 + 26.9437i 0.467870 + 1.12954i 0.965091 + 0.261914i \(0.0843535\pi\)
−0.497222 + 0.867623i \(0.665646\pi\)
\(570\) 2.00104 5.26863i 0.0838144 0.220678i
\(571\) 9.73116 + 6.50215i 0.407236 + 0.272107i 0.742272 0.670099i \(-0.233748\pi\)
−0.335036 + 0.942205i \(0.608748\pi\)
\(572\) −3.45030 0.0840230i −0.144264 0.00351318i
\(573\) 0.878471 + 20.9548i 0.0366987 + 0.875400i
\(574\) −0.363596 0.155819i −0.0151762 0.00650375i
\(575\) −3.77288 −0.157340
\(576\) −16.7871 + 17.1521i −0.699463 + 0.714669i
\(577\) 12.9165 0.537721 0.268860 0.963179i \(-0.413353\pi\)
0.268860 + 0.963179i \(0.413353\pi\)
\(578\) −10.0366 4.30119i −0.417469 0.178906i
\(579\) 1.93591 + 46.1788i 0.0804538 + 1.91912i
\(580\) −0.0816470 + 3.35273i −0.00339021 + 0.139215i
\(581\) 24.3540 + 16.2728i 1.01037 + 0.675111i
\(582\) 0.408097 1.07449i 0.0169161 0.0445392i
\(583\) 6.67727 + 16.1204i 0.276544 + 0.667637i
\(584\) 13.0928 + 0.478379i 0.541783 + 0.0197954i
\(585\) −0.269022 3.20295i −0.0111227 0.132426i
\(586\) 16.9808 + 26.0957i 0.701469 + 1.07800i
\(587\) 5.05908 + 25.4337i 0.208810 + 1.04976i 0.932922 + 0.360078i \(0.117250\pi\)
−0.724112 + 0.689683i \(0.757750\pi\)
\(588\) 0.0376719 + 2.14632i 0.00155356 + 0.0885128i
\(589\) 6.37973 + 9.54795i 0.262872 + 0.393416i
\(590\) 0.0500667 4.11246i 0.00206121 0.169307i
\(591\) −5.52906 + 9.07605i −0.227435 + 0.373339i
\(592\) 2.03326 2.74379i 0.0835666 0.112769i
\(593\) 23.3893 23.3893i 0.960482 0.960482i −0.0387660 0.999248i \(-0.512343\pi\)
0.999248 + 0.0387660i \(0.0123427\pi\)
\(594\) −0.979242 + 11.7952i −0.0401788 + 0.483963i
\(595\) 6.97742 + 10.4424i 0.286046 + 0.428099i
\(596\) 0.159129 0.226039i 0.00651816 0.00925894i
\(597\) −30.7360 + 14.2675i −1.25794 + 0.583931i
\(598\) 1.18344 5.59283i 0.0483944 0.228708i
\(599\) 14.7425 35.5915i 0.602362 1.45423i −0.268782 0.963201i \(-0.586621\pi\)
0.871143 0.491029i \(-0.163379\pi\)
\(600\) −3.44543 + 3.48268i −0.140659 + 0.142180i
\(601\) −9.47695 22.8794i −0.386573 0.933269i −0.990661 0.136352i \(-0.956462\pi\)
0.604088 0.796918i \(-0.293538\pi\)
\(602\) −1.48550 7.97428i −0.0605446 0.325007i
\(603\) −3.82779 + 33.8647i −0.155880 + 1.37908i
\(604\) 12.4383 + 32.2262i 0.506106 + 1.31127i
\(605\) −8.24431 1.63989i −0.335179 0.0666712i
\(606\) 13.6290 9.70461i 0.553639 0.394223i
\(607\) −43.8635 −1.78036 −0.890182 0.455605i \(-0.849423\pi\)
−0.890182 + 0.455605i \(0.849423\pi\)
\(608\) −1.75794 12.8961i −0.0712940 0.523007i
\(609\) −7.12910 + 1.73137i −0.288886 + 0.0701587i
\(610\) 10.0814 4.03280i 0.408186 0.163283i
\(611\) −1.05889 + 5.32339i −0.0428381 + 0.215361i
\(612\) 29.7796 1.77241i 1.20377 0.0716456i
\(613\) 32.4040 + 21.6517i 1.30879 + 0.874503i 0.997131 0.0756918i \(-0.0241165\pi\)
0.311656 + 0.950195i \(0.399117\pi\)
\(614\) −7.62642 40.9391i −0.307777 1.65217i
\(615\) −0.154876 + 0.113147i −0.00624518 + 0.00456251i
\(616\) −6.73809 + 9.32800i −0.271485 + 0.375836i
\(617\) −29.7498 12.3228i −1.19768 0.496096i −0.307432 0.951570i \(-0.599470\pi\)
−0.890249 + 0.455474i \(0.849470\pi\)
\(618\) 5.09359 0.151446i 0.204894 0.00609204i
\(619\) −0.732516 3.68261i −0.0294423 0.148016i 0.963268 0.268542i \(-0.0865419\pi\)
−0.992710 + 0.120526i \(0.961542\pi\)
\(620\) −1.70845 9.83457i −0.0686128 0.394966i
\(621\) −18.9098 5.17253i −0.758823 0.207567i
\(622\) −9.85419 + 9.61714i −0.395117 + 0.385612i
\(623\) 23.3966 + 23.3966i 0.937363 + 0.937363i
\(624\) −4.08192 6.19984i −0.163407 0.248192i
\(625\) −0.707107 + 0.707107i −0.0282843 + 0.0282843i
\(626\) 0.295172 24.2453i 0.0117975 0.969039i
\(627\) −4.72478 4.34457i −0.188690 0.173506i
\(628\) 23.8531 15.1114i 0.951843 0.603010i
\(629\) −4.16337 + 0.828146i −0.166004 + 0.0330203i
\(630\) −9.31375 5.30092i −0.371069 0.211194i
\(631\) −10.2998 + 24.8659i −0.410029 + 0.989897i 0.575100 + 0.818083i \(0.304963\pi\)
−0.985129 + 0.171815i \(0.945037\pi\)
\(632\) 39.3757 + 18.0214i 1.56628 + 0.716852i
\(633\) 29.4317 21.5018i 1.16981 0.854619i
\(634\) 0.00339602 + 0.00232944i 0.000134873 + 9.25140e-5i
\(635\) 0.336810 0.504073i 0.0133659 0.0200035i
\(636\) −20.2984 + 31.5641i −0.804884 + 1.25160i
\(637\) −0.651179 0.129527i −0.0258006 0.00513207i
\(638\) 3.51075 + 1.50453i 0.138992 + 0.0595648i
\(639\) 15.1365 7.81290i 0.598790 0.309073i
\(640\) −3.14363 + 10.8682i −0.124263 + 0.429603i
\(641\) 11.5716i 0.457049i −0.973538 0.228525i \(-0.926610\pi\)
0.973538 0.228525i \(-0.0733902\pi\)
\(642\) −29.8404 5.01871i −1.17771 0.198073i
\(643\) 3.23824 16.2797i 0.127704 0.642010i −0.862914 0.505350i \(-0.831363\pi\)
0.990618 0.136660i \(-0.0436366\pi\)
\(644\) −13.1454 13.8016i −0.518000 0.543859i
\(645\) −3.69347 1.35158i −0.145430 0.0532183i
\(646\) −9.15126 + 13.3413i −0.360051 + 0.524908i
\(647\) −7.69523 + 3.18747i −0.302531 + 0.125312i −0.528785 0.848756i \(-0.677352\pi\)
0.226254 + 0.974068i \(0.427352\pi\)
\(648\) −22.0433 + 12.7317i −0.865941 + 0.500147i
\(649\) −4.32747 1.79250i −0.169868 0.0703617i
\(650\) −0.826402 1.27000i −0.0324141 0.0498134i
\(651\) 19.8057 9.19372i 0.776245 0.360330i
\(652\) −22.1497 34.9631i −0.867450 1.36926i
\(653\) 8.43770 5.63789i 0.330193 0.220628i −0.379412 0.925228i \(-0.623874\pi\)
0.709604 + 0.704600i \(0.248874\pi\)
\(654\) −16.4246 + 3.77775i −0.642254 + 0.147722i
\(655\) 13.9323 + 13.9323i 0.544381 + 0.544381i
\(656\) −0.189229 + 0.400497i −0.00738815 + 0.0156368i
\(657\) 13.2385 + 4.22466i 0.516483 + 0.164820i
\(658\) 12.6395 + 12.9510i 0.492737 + 0.504883i
\(659\) −40.6038 + 27.1306i −1.58170 + 1.05686i −0.619327 + 0.785133i \(0.712594\pi\)
−0.962375 + 0.271726i \(0.912406\pi\)
\(660\) 2.22529 + 5.11647i 0.0866193 + 0.199158i
\(661\) −8.33263 + 1.65746i −0.324102 + 0.0644678i −0.354460 0.935071i \(-0.615335\pi\)
0.0303581 + 0.999539i \(0.490335\pi\)
\(662\) 8.27272 39.0962i 0.321528 1.51952i
\(663\) −1.41944 + 9.11696i −0.0551264 + 0.354073i
\(664\) 19.2052 26.5871i 0.745307 1.03178i
\(665\) 5.36931 2.22404i 0.208213 0.0862447i
\(666\) 2.86002 2.22275i 0.110824 0.0861298i
\(667\) −3.51487 + 5.26037i −0.136096 + 0.203682i
\(668\) −18.0466 + 40.7340i −0.698243 + 1.57604i
\(669\) 1.71677 + 40.9514i 0.0663741 + 1.58327i
\(670\) 5.96690 + 14.9164i 0.230522 + 0.576272i
\(671\) 12.3663i 0.477396i
\(672\) −24.7445 0.469492i −0.954539 0.0181110i
\(673\) 4.07049i 0.156906i −0.996918 0.0784529i \(-0.975002\pi\)
0.996918 0.0784529i \(-0.0249980\pi\)
\(674\) 40.9033 16.3622i 1.57554 0.630249i
\(675\) −4.51347 + 2.57461i −0.173723 + 0.0990968i
\(676\) −22.1141 + 8.53535i −0.850544 + 0.328283i
\(677\) −18.6377 + 27.8934i −0.716307 + 1.07203i 0.277480 + 0.960731i \(0.410501\pi\)
−0.993787 + 0.111298i \(0.964499\pi\)
\(678\) −4.66031 10.3682i −0.178978 0.398188i
\(679\) 1.09503 0.453576i 0.0420233 0.0174066i
\(680\) 11.9705 7.38086i 0.459047 0.283043i
\(681\) 8.81966 + 1.37315i 0.337970 + 0.0526192i
\(682\) −11.1221 2.35342i −0.425885 0.0901170i
\(683\) 13.2346 2.63253i 0.506408 0.100731i 0.0647273 0.997903i \(-0.479382\pi\)
0.441681 + 0.897172i \(0.354382\pi\)
\(684\) 1.88402 13.6757i 0.0720373 0.522905i
\(685\) −2.99996 + 2.00451i −0.114622 + 0.0765883i
\(686\) −19.4797 + 19.0111i −0.743737 + 0.725845i
\(687\) 17.5412 28.7941i 0.669237 1.09856i
\(688\) −8.98404 + 1.33626i −0.342513 + 0.0509443i
\(689\) −8.20730 8.20730i −0.312673 0.312673i
\(690\) −9.00646 + 2.07153i −0.342870 + 0.0788619i
\(691\) −18.8347 + 12.5849i −0.716505 + 0.478753i −0.859608 0.510954i \(-0.829292\pi\)
0.143103 + 0.989708i \(0.454292\pi\)
\(692\) −1.49203 + 6.65039i −0.0567183 + 0.252810i
\(693\) −9.54505 + 7.60639i −0.362586 + 0.288943i
\(694\) −19.2085 + 12.4992i −0.729145 + 0.474463i
\(695\) −16.2376 6.72585i −0.615929 0.255126i
\(696\) 1.64594 + 8.04833i 0.0623893 + 0.305071i
\(697\) 0.508682 0.210703i 0.0192677 0.00798094i
\(698\) −3.07286 2.10778i −0.116310 0.0797805i
\(699\) 11.0852 30.2926i 0.419281 1.14577i
\(700\) −5.05036 0.122988i −0.190886 0.00464852i
\(701\) 7.59487 38.1820i 0.286854 1.44211i −0.521417 0.853302i \(-0.674596\pi\)
0.808271 0.588811i \(-0.200404\pi\)
\(702\) −2.40081 7.49825i −0.0906127 0.283003i
\(703\) 1.96435i 0.0740868i
\(704\) 10.1626 + 7.92138i 0.383019 + 0.298548i
\(705\) 8.52660 2.07077i 0.321130 0.0779896i
\(706\) 14.5915 34.0487i 0.549160 1.28144i
\(707\) 16.9217 + 3.36593i 0.636404 + 0.126589i
\(708\) −2.13847 9.84460i −0.0803686 0.369983i
\(709\) −3.23386 + 4.83982i −0.121450 + 0.181763i −0.887213 0.461360i \(-0.847362\pi\)
0.765763 + 0.643123i \(0.222362\pi\)
\(710\) 4.54210 6.62179i 0.170462 0.248511i
\(711\) 35.0822 + 29.6456i 1.31568 + 1.11180i
\(712\) 27.1376 25.2244i 1.01702 0.945325i
\(713\) 7.20599 17.3968i 0.269866 0.651515i
\(714\) 22.3897 + 21.0968i 0.837915 + 0.789527i
\(715\) −1.69250 + 0.336660i −0.0632960 + 0.0125904i
\(716\) −2.46927 + 11.0063i −0.0922810 + 0.411323i
\(717\) −9.23427 + 10.0424i −0.344860 + 0.375040i
\(718\) 13.6847 + 0.166603i 0.510708 + 0.00621755i
\(719\) −36.7344 + 36.7344i −1.36996 + 1.36996i −0.509480 + 0.860482i \(0.670162\pi\)
−0.860482 + 0.509480i \(0.829838\pi\)
\(720\) −6.31259 + 10.2054i −0.235256 + 0.380335i
\(721\) 3.71575 + 3.71575i 0.138382 + 0.138382i
\(722\) −13.5384 13.8721i −0.503846 0.516265i
\(723\) −18.7442 17.2359i −0.697105 0.641009i
\(724\) −20.7313 + 29.4484i −0.770471 + 1.09444i
\(725\) 0.327140 + 1.64464i 0.0121497 + 0.0610805i
\(726\) −20.5809 + 0.611923i −0.763828 + 0.0227106i
\(727\) −38.1535 15.8037i −1.41503 0.586126i −0.461426 0.887179i \(-0.652662\pi\)
−0.953608 + 0.301052i \(0.902662\pi\)
\(728\) 1.76646 7.44797i 0.0654695 0.276040i
\(729\) −26.1514 + 6.71615i −0.968569 + 0.248746i
\(730\) 6.43996 1.19968i 0.238354 0.0444022i
\(731\) 9.38738 + 6.27245i 0.347205 + 0.231995i
\(732\) 21.8518 15.1623i 0.807665 0.560413i
\(733\) 6.21965 31.2683i 0.229728 1.15492i −0.677903 0.735152i \(-0.737111\pi\)
0.907631 0.419769i \(-0.137889\pi\)
\(734\) −16.4530 41.1303i −0.607292 1.51815i
\(735\) 0.253304 + 1.04301i 0.00934327 + 0.0384719i
\(736\) −15.9816 + 14.1455i −0.589089 + 0.521411i
\(737\) 18.2971 0.673982
\(738\) −0.307588 + 0.355135i −0.0113225 + 0.0130727i
\(739\) −9.24774 1.83949i −0.340183 0.0676667i 0.0220424 0.999757i \(-0.492983\pi\)
−0.362226 + 0.932090i \(0.617983\pi\)
\(740\) 0.691652 1.56117i 0.0254256 0.0573897i
\(741\) 4.00967 + 1.46729i 0.147299 + 0.0539022i
\(742\) −38.0442 + 7.08713i −1.39664 + 0.260177i
\(743\) 1.53949 + 3.71665i 0.0564783 + 0.136351i 0.949600 0.313465i \(-0.101490\pi\)
−0.893122 + 0.449815i \(0.851490\pi\)
\(744\) −9.47809 22.5386i −0.347484 0.826307i
\(745\) 0.0528934 0.127696i 0.00193786 0.00467841i
\(746\) 5.16521 + 1.09295i 0.189112 + 0.0400159i
\(747\) 27.2057 21.6801i 0.995405 0.793232i
\(748\) −2.74129 15.7801i −0.100231 0.576976i
\(749\) −17.3359 25.9450i −0.633440 0.948009i
\(750\) −1.29973 + 2.07622i −0.0474596 + 0.0758129i
\(751\) 2.82090 2.82090i 0.102936 0.102936i −0.653763 0.756699i \(-0.726811\pi\)
0.756699 + 0.653763i \(0.226811\pi\)
\(752\) 15.0091 13.6142i 0.547325 0.496458i
\(753\) 5.80675 + 3.53743i 0.211610 + 0.128911i
\(754\) −2.54060 0.0309302i −0.0925230 0.00112641i
\(755\) 9.59561 + 14.3608i 0.349220 + 0.522645i
\(756\) −25.1439 7.54036i −0.914476 0.274240i
\(757\) 0.316732 + 1.59232i 0.0115118 + 0.0578738i 0.986114 0.166068i \(-0.0531073\pi\)
−0.974602 + 0.223942i \(0.928107\pi\)
\(758\) −21.7831 + 14.1745i −0.791198 + 0.514841i
\(759\) −1.61919 + 10.4000i −0.0587729 + 0.377495i
\(760\) −2.26920 6.09925i −0.0823124 0.221243i
\(761\) −17.4189 42.0529i −0.631434 1.52442i −0.837820 0.545947i \(-0.816170\pi\)
0.206385 0.978471i \(-0.433830\pi\)
\(762\) 0.527255 1.38823i 0.0191004 0.0502903i
\(763\) −14.4504 9.65548i −0.523141 0.349552i
\(764\) 16.7026 + 17.5364i 0.604278 + 0.634444i
\(765\) 14.3346 4.12423i 0.518270 0.149112i
\(766\) −0.368737 + 0.860431i −0.0133230 + 0.0310886i
\(767\) 3.11584 0.112506
\(768\) −1.53707 + 27.6702i −0.0554642 + 0.998461i
\(769\) −37.8121 −1.36354 −0.681769 0.731567i \(-0.738789\pi\)
−0.681769 + 0.731567i \(0.738789\pi\)
\(770\) −2.26633 + 5.28839i −0.0816730 + 0.190580i
\(771\) −33.8403 + 1.41866i −1.21873 + 0.0510917i
\(772\) 36.8080 + 38.6455i 1.32475 + 1.39088i
\(773\) −4.12556 2.75661i −0.148386 0.0991483i 0.479161