Properties

Label 475.2.bc.a.111.32
Level $475$
Weight $2$
Character 475.111
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 111.32
Character \(\chi\) \(=\) 475.111
Dual form 475.2.bc.a.291.32

$q$-expansion

\(f(q)\) \(=\) \(q+(0.970326 + 0.0678518i) q^{2} +(0.0435001 + 1.24568i) q^{3} +(-1.04361 - 0.146669i) q^{4} +(-0.925421 - 2.03558i) q^{5} +(-0.0423123 + 1.21167i) q^{6} +(1.73336 + 3.00227i) q^{7} +(-2.90557 - 0.617597i) q^{8} +(1.44287 - 0.100895i) q^{9} +O(q^{10})\) \(q+(0.970326 + 0.0678518i) q^{2} +(0.0435001 + 1.24568i) q^{3} +(-1.04361 - 0.146669i) q^{4} +(-0.925421 - 2.03558i) q^{5} +(-0.0423123 + 1.21167i) q^{6} +(1.73336 + 3.00227i) q^{7} +(-2.90557 - 0.617597i) q^{8} +(1.44287 - 0.100895i) q^{9} +(-0.759842 - 2.03797i) q^{10} +(0.537600 + 5.11492i) q^{11} +(0.137306 - 1.30638i) q^{12} +(1.48306 + 2.19873i) q^{13} +(1.47822 + 3.03080i) q^{14} +(2.49543 - 1.24133i) q^{15} +(-0.751368 - 0.215451i) q^{16} +(-0.412340 + 1.02058i) q^{17} +1.40690 q^{18} +(-0.00711364 + 4.35889i) q^{19} +(0.667218 + 2.26008i) q^{20} +(-3.66447 + 2.28981i) q^{21} +(0.174591 + 4.99962i) q^{22} +(-0.845828 - 0.816807i) q^{23} +(0.642936 - 3.64627i) q^{24} +(-3.28719 + 3.76754i) q^{25} +(1.28987 + 2.23412i) q^{26} +(0.579313 + 5.51179i) q^{27} +(-1.36861 - 3.38742i) q^{28} +(-2.91333 - 7.21074i) q^{29} +(2.50560 - 1.03517i) q^{30} +(5.38690 - 5.98276i) q^{31} +(4.86822 + 1.77189i) q^{32} +(-6.34817 + 0.892177i) q^{33} +(-0.469353 + 0.962315i) q^{34} +(4.50729 - 6.30677i) q^{35} +(-1.52059 - 0.106330i) q^{36} +(4.56145 + 3.31409i) q^{37} +(-0.302661 + 4.22907i) q^{38} +(-2.67440 + 1.94307i) q^{39} +(1.43170 + 6.48606i) q^{40} +(-9.05362 - 2.59609i) q^{41} +(-3.71110 + 1.97323i) q^{42} +(1.13747 - 6.45089i) q^{43} +(0.189159 - 5.41682i) q^{44} +(-1.54064 - 2.84371i) q^{45} +(-0.765308 - 0.849960i) q^{46} +(2.43381 + 6.02390i) q^{47} +(0.235699 - 0.945336i) q^{48} +(-2.50910 + 4.34589i) q^{49} +(-3.44528 + 3.43270i) q^{50} +(-1.28925 - 0.469248i) q^{51} +(-1.22525 - 2.51213i) q^{52} +(-1.04905 - 0.147435i) q^{53} +(0.188137 + 5.38754i) q^{54} +(9.91434 - 5.82779i) q^{55} +(-3.18221 - 9.79383i) q^{56} +(-5.43009 + 0.180751i) q^{57} +(-2.33762 - 7.19445i) q^{58} +(-1.64663 - 6.60426i) q^{59} +(-2.78631 + 0.929453i) q^{60} +(3.50937 + 3.38895i) q^{61} +(5.63299 - 5.43972i) q^{62} +(2.80393 + 4.15700i) q^{63} +(6.03168 + 2.68548i) q^{64} +(3.10324 - 5.05365i) q^{65} +(-6.22033 + 0.434968i) q^{66} +(-4.42369 - 2.76423i) q^{67} +(0.580008 - 1.00460i) q^{68} +(0.980686 - 1.08916i) q^{69} +(4.80147 - 5.81380i) q^{70} +(2.03485 + 1.08195i) q^{71} +(-4.25466 - 0.597954i) q^{72} +(3.86508 - 5.73021i) q^{73} +(4.20123 + 3.52525i) q^{74} +(-4.83614 - 3.93090i) q^{75} +(0.646740 - 4.54793i) q^{76} +(-14.4245 + 10.4800i) q^{77} +(-2.72688 + 1.70395i) q^{78} +(0.147285 + 4.21769i) q^{79} +(0.256763 + 1.72886i) q^{80} +(-2.54378 + 0.357504i) q^{81} +(-8.60882 - 3.13335i) q^{82} +(4.22026 - 4.68708i) q^{83} +(4.16011 - 1.85220i) q^{84} +(2.45906 - 0.105111i) q^{85} +(1.54142 - 6.18229i) q^{86} +(8.85554 - 3.94274i) q^{87} +(1.59693 - 15.1938i) q^{88} +(-4.28322 + 1.22819i) q^{89} +(-1.30197 - 2.86386i) q^{90} +(-4.03051 + 8.26377i) q^{91} +(0.762912 + 0.976482i) q^{92} +(7.68693 + 6.45010i) q^{93} +(1.95286 + 6.01029i) q^{94} +(8.87947 - 4.01933i) q^{95} +(-1.99544 + 6.14132i) q^{96} +(11.0573 - 6.90936i) q^{97} +(-2.72952 + 4.04668i) q^{98} +(1.29176 + 7.32592i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} + O(q^{10}) \) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.970326 + 0.0678518i 0.686124 + 0.0479785i 0.408564 0.912730i \(-0.366030\pi\)
0.277560 + 0.960708i \(0.410474\pi\)
\(3\) 0.0435001 + 1.24568i 0.0251148 + 0.719193i 0.945012 + 0.327034i \(0.106049\pi\)
−0.919898 + 0.392159i \(0.871728\pi\)
\(4\) −1.04361 0.146669i −0.521803 0.0733347i
\(5\) −0.925421 2.03558i −0.413861 0.910340i
\(6\) −0.0423123 + 1.21167i −0.0172739 + 0.494661i
\(7\) 1.73336 + 3.00227i 0.655150 + 1.13475i 0.981856 + 0.189627i \(0.0607279\pi\)
−0.326706 + 0.945126i \(0.605939\pi\)
\(8\) −2.90557 0.617597i −1.02727 0.218354i
\(9\) 1.44287 0.100895i 0.480956 0.0336317i
\(10\) −0.759842 2.03797i −0.240283 0.644463i
\(11\) 0.537600 + 5.11492i 0.162093 + 1.54221i 0.709117 + 0.705091i \(0.249094\pi\)
−0.547024 + 0.837117i \(0.684239\pi\)
\(12\) 0.137306 1.30638i 0.0396368 0.377119i
\(13\) 1.48306 + 2.19873i 0.411328 + 0.609819i 0.976594 0.215090i \(-0.0690044\pi\)
−0.565266 + 0.824909i \(0.691227\pi\)
\(14\) 1.47822 + 3.03080i 0.395071 + 0.810015i
\(15\) 2.49543 1.24133i 0.644316 0.320509i
\(16\) −0.751368 0.215451i −0.187842 0.0538628i
\(17\) −0.412340 + 1.02058i −0.100007 + 0.247526i −0.968890 0.247491i \(-0.920394\pi\)
0.868883 + 0.495017i \(0.164838\pi\)
\(18\) 1.40690 0.331609
\(19\) −0.00711364 + 4.35889i −0.00163198 + 0.999999i
\(20\) 0.667218 + 2.26008i 0.149194 + 0.505369i
\(21\) −3.66447 + 2.28981i −0.799653 + 0.499678i
\(22\) 0.174591 + 4.99962i 0.0372229 + 1.06592i
\(23\) −0.845828 0.816807i −0.176367 0.170316i 0.601235 0.799072i \(-0.294676\pi\)
−0.777603 + 0.628756i \(0.783564\pi\)
\(24\) 0.642936 3.64627i 0.131239 0.744292i
\(25\) −3.28719 + 3.76754i −0.657439 + 0.753508i
\(26\) 1.28987 + 2.23412i 0.252964 + 0.438147i
\(27\) 0.579313 + 5.51179i 0.111489 + 1.06074i
\(28\) −1.36861 3.38742i −0.258643 0.640163i
\(29\) −2.91333 7.21074i −0.540991 1.33900i −0.911931 0.410344i \(-0.865409\pi\)
0.370940 0.928657i \(-0.379036\pi\)
\(30\) 2.50560 1.03517i 0.457459 0.188996i
\(31\) 5.38690 5.98276i 0.967516 1.07453i −0.0296698 0.999560i \(-0.509446\pi\)
0.997185 0.0749752i \(-0.0238878\pi\)
\(32\) 4.86822 + 1.77189i 0.860588 + 0.313228i
\(33\) −6.34817 + 0.892177i −1.10507 + 0.155308i
\(34\) −0.469353 + 0.962315i −0.0804933 + 0.165036i
\(35\) 4.50729 6.30677i 0.761870 1.06604i
\(36\) −1.52059 0.106330i −0.253431 0.0177216i
\(37\) 4.56145 + 3.31409i 0.749898 + 0.544833i 0.895795 0.444467i \(-0.146607\pi\)
−0.145897 + 0.989300i \(0.546607\pi\)
\(38\) −0.302661 + 4.22907i −0.0490982 + 0.686045i
\(39\) −2.67440 + 1.94307i −0.428247 + 0.311140i
\(40\) 1.43170 + 6.48606i 0.226372 + 1.02554i
\(41\) −9.05362 2.59609i −1.41394 0.405440i −0.520206 0.854041i \(-0.674145\pi\)
−0.893732 + 0.448600i \(0.851923\pi\)
\(42\) −3.71110 + 1.97323i −0.572635 + 0.304475i
\(43\) 1.13747 6.45089i 0.173462 0.983752i −0.766442 0.642313i \(-0.777975\pi\)
0.939904 0.341438i \(-0.110914\pi\)
\(44\) 0.189159 5.41682i 0.0285169 0.816616i
\(45\) −1.54064 2.84371i −0.229665 0.423915i
\(46\) −0.765308 0.849960i −0.112838 0.125320i
\(47\) 2.43381 + 6.02390i 0.355008 + 0.878676i 0.993992 + 0.109456i \(0.0349108\pi\)
−0.638983 + 0.769221i \(0.720645\pi\)
\(48\) 0.235699 0.945336i 0.0340202 0.136447i
\(49\) −2.50910 + 4.34589i −0.358443 + 0.620841i
\(50\) −3.44528 + 3.43270i −0.487237 + 0.485457i
\(51\) −1.28925 0.469248i −0.180531 0.0657079i
\(52\) −1.22525 2.51213i −0.169911 0.348370i
\(53\) −1.04905 0.147435i −0.144099 0.0202517i 0.0667549 0.997769i \(-0.478735\pi\)
−0.210854 + 0.977518i \(0.567624\pi\)
\(54\) 0.188137 + 5.38754i 0.0256022 + 0.733152i
\(55\) 9.91434 5.82779i 1.33685 0.785819i
\(56\) −3.18221 9.79383i −0.425241 1.30876i
\(57\) −5.43009 + 0.180751i −0.719233 + 0.0239410i
\(58\) −2.33762 7.19445i −0.306944 0.944677i
\(59\) −1.64663 6.60426i −0.214373 0.859801i −0.977048 0.213020i \(-0.931670\pi\)
0.762675 0.646781i \(-0.223885\pi\)
\(60\) −2.78631 + 0.929453i −0.359711 + 0.119992i
\(61\) 3.50937 + 3.38895i 0.449328 + 0.433911i 0.884574 0.466401i \(-0.154450\pi\)
−0.435245 + 0.900312i \(0.643338\pi\)
\(62\) 5.63299 5.43972i 0.715391 0.690845i
\(63\) 2.80393 + 4.15700i 0.353262 + 0.523733i
\(64\) 6.03168 + 2.68548i 0.753960 + 0.335685i
\(65\) 3.10324 5.05365i 0.384910 0.626829i
\(66\) −6.22033 + 0.434968i −0.765670 + 0.0535408i
\(67\) −4.42369 2.76423i −0.540439 0.337704i 0.232078 0.972697i \(-0.425447\pi\)
−0.772518 + 0.634993i \(0.781003\pi\)
\(68\) 0.580008 1.00460i 0.0703363 0.121826i
\(69\) 0.980686 1.08916i 0.118061 0.131120i
\(70\) 4.80147 5.81380i 0.573885 0.694882i
\(71\) 2.03485 + 1.08195i 0.241492 + 0.128404i 0.585807 0.810451i \(-0.300778\pi\)
−0.344315 + 0.938854i \(0.611889\pi\)
\(72\) −4.25466 0.597954i −0.501417 0.0704696i
\(73\) 3.86508 5.73021i 0.452373 0.670671i −0.532004 0.846742i \(-0.678561\pi\)
0.984377 + 0.176071i \(0.0563388\pi\)
\(74\) 4.20123 + 3.52525i 0.488383 + 0.409802i
\(75\) −4.83614 3.93090i −0.558429 0.453901i
\(76\) 0.646740 4.54793i 0.0741861 0.521683i
\(77\) −14.4245 + 10.4800i −1.64383 + 1.19431i
\(78\) −2.72688 + 1.70395i −0.308759 + 0.192934i
\(79\) 0.147285 + 4.21769i 0.0165708 + 0.474527i 0.979104 + 0.203362i \(0.0651868\pi\)
−0.962533 + 0.271165i \(0.912591\pi\)
\(80\) 0.256763 + 1.72886i 0.0287069 + 0.193292i
\(81\) −2.54378 + 0.357504i −0.282642 + 0.0397227i
\(82\) −8.60882 3.13335i −0.950685 0.346021i
\(83\) 4.22026 4.68708i 0.463234 0.514473i −0.465587 0.885002i \(-0.654157\pi\)
0.928821 + 0.370529i \(0.120823\pi\)
\(84\) 4.16011 1.85220i 0.453905 0.202092i
\(85\) 2.45906 0.105111i 0.266722 0.0114009i
\(86\) 1.54142 6.18229i 0.166215 0.666654i
\(87\) 8.85554 3.94274i 0.949413 0.422706i
\(88\) 1.59693 15.1938i 0.170233 1.61966i
\(89\) −4.28322 + 1.22819i −0.454020 + 0.130188i −0.494851 0.868978i \(-0.664777\pi\)
0.0408306 + 0.999166i \(0.487000\pi\)
\(90\) −1.30197 2.86386i −0.137240 0.301877i
\(91\) −4.03051 + 8.26377i −0.422512 + 0.866279i
\(92\) 0.762912 + 0.976482i 0.0795390 + 0.101805i
\(93\) 7.68693 + 6.45010i 0.797097 + 0.668844i
\(94\) 1.95286 + 6.01029i 0.201422 + 0.619914i
\(95\) 8.87947 4.01933i 0.911014 0.412375i
\(96\) −1.99544 + 6.14132i −0.203658 + 0.626796i
\(97\) 11.0573 6.90936i 1.12270 0.701539i 0.164139 0.986437i \(-0.447515\pi\)
0.958558 + 0.284898i \(0.0919599\pi\)
\(98\) −2.72952 + 4.04668i −0.275723 + 0.408777i
\(99\) 1.29176 + 7.32592i 0.129827 + 0.736283i
\(100\) 3.98312 3.44970i 0.398312 0.344970i
\(101\) −2.40242 0.874411i −0.239050 0.0870071i 0.219717 0.975564i \(-0.429487\pi\)
−0.458767 + 0.888557i \(0.651709\pi\)
\(102\) −1.21915 0.542802i −0.120714 0.0537454i
\(103\) 2.38994 + 2.65430i 0.235488 + 0.261536i 0.849293 0.527922i \(-0.177029\pi\)
−0.613805 + 0.789458i \(0.710362\pi\)
\(104\) −2.95121 7.30451i −0.289390 0.716266i
\(105\) 8.05228 + 5.34029i 0.785822 + 0.521159i
\(106\) −1.00792 0.214240i −0.0978979 0.0208088i
\(107\) 7.56451 + 13.1021i 0.731289 + 1.26663i 0.956333 + 0.292281i \(0.0944141\pi\)
−0.225044 + 0.974349i \(0.572253\pi\)
\(108\) 0.203836 5.83711i 0.0196142 0.561676i
\(109\) 6.21763 6.00430i 0.595541 0.575107i −0.334577 0.942369i \(-0.608593\pi\)
0.930118 + 0.367261i \(0.119704\pi\)
\(110\) 10.0156 4.98215i 0.954948 0.475029i
\(111\) −3.92987 + 5.82627i −0.373007 + 0.553005i
\(112\) −0.655550 2.62927i −0.0619437 0.248443i
\(113\) −8.80767 6.39914i −0.828555 0.601981i 0.0905948 0.995888i \(-0.471123\pi\)
−0.919150 + 0.393907i \(0.871123\pi\)
\(114\) −5.28122 0.193054i −0.494632 0.0180812i
\(115\) −0.879931 + 2.47764i −0.0820540 + 0.231041i
\(116\) 1.98277 + 7.95247i 0.184096 + 0.738368i
\(117\) 2.36171 + 3.02285i 0.218340 + 0.279462i
\(118\) −1.14965 6.52001i −0.105834 0.600216i
\(119\) −3.77879 + 0.531074i −0.346401 + 0.0486835i
\(120\) −8.01727 + 2.06559i −0.731873 + 0.188561i
\(121\) −15.1138 + 3.21254i −1.37398 + 0.292049i
\(122\) 3.17528 + 3.52651i 0.287477 + 0.319275i
\(123\) 2.84006 11.3908i 0.256079 1.02708i
\(124\) −6.49929 + 5.45355i −0.583654 + 0.489743i
\(125\) 10.7112 + 3.20479i 0.958037 + 0.286645i
\(126\) 2.43867 + 4.22390i 0.217254 + 0.376295i
\(127\) 10.4539 2.99761i 0.927634 0.265995i 0.222389 0.974958i \(-0.428615\pi\)
0.705245 + 0.708963i \(0.250837\pi\)
\(128\) −3.47801 1.84929i −0.307415 0.163456i
\(129\) 8.08522 + 1.13630i 0.711864 + 0.100046i
\(130\) 3.35406 4.69313i 0.294171 0.411615i
\(131\) 3.66236 9.06465i 0.319982 0.791982i −0.678377 0.734714i \(-0.737316\pi\)
0.998359 0.0572684i \(-0.0182391\pi\)
\(132\) 6.75584 0.588021
\(133\) −13.0989 + 7.53419i −1.13582 + 0.653297i
\(134\) −4.10486 2.98236i −0.354606 0.257636i
\(135\) 10.6836 6.27997i 0.919498 0.540493i
\(136\) 1.82839 2.71070i 0.156783 0.232440i
\(137\) 4.70138 9.63925i 0.401666 0.823537i −0.598090 0.801429i \(-0.704073\pi\)
0.999756 0.0221079i \(-0.00703775\pi\)
\(138\) 1.02549 0.990301i 0.0872952 0.0843000i
\(139\) −17.3598 + 4.97783i −1.47244 + 0.422214i −0.913446 0.406960i \(-0.866589\pi\)
−0.558991 + 0.829174i \(0.688811\pi\)
\(140\) −5.62884 + 5.92071i −0.475724 + 0.500391i
\(141\) −7.39798 + 3.29379i −0.623022 + 0.277387i
\(142\) 1.90106 + 1.18791i 0.159533 + 0.0996874i
\(143\) −10.4491 + 8.76780i −0.873794 + 0.733200i
\(144\) −1.10586 0.235059i −0.0921553 0.0195882i
\(145\) −11.9820 + 12.6033i −0.995051 + 1.04665i
\(146\) 4.13919 5.29792i 0.342562 0.438459i
\(147\) −5.52273 2.93649i −0.455507 0.242197i
\(148\) −4.27429 4.12763i −0.351344 0.339289i
\(149\) −22.5293 + 8.19998i −1.84567 + 0.671769i −0.858341 + 0.513079i \(0.828505\pi\)
−0.987328 + 0.158690i \(0.949273\pi\)
\(150\) −4.42592 4.14240i −0.361374 0.338225i
\(151\) −3.87523 −0.315361 −0.157681 0.987490i \(-0.550402\pi\)
−0.157681 + 0.987490i \(0.550402\pi\)
\(152\) 2.71271 12.6607i 0.220030 1.02692i
\(153\) −0.491981 + 1.51416i −0.0397743 + 0.122413i
\(154\) −14.7076 + 9.19034i −1.18517 + 0.740578i
\(155\) −17.1635 5.42891i −1.37861 0.436061i
\(156\) 3.07601 1.63554i 0.246278 0.130948i
\(157\) 1.05167 5.96430i 0.0839322 0.476003i −0.913650 0.406502i \(-0.866748\pi\)
0.997582 0.0695007i \(-0.0221406\pi\)
\(158\) −0.143263 + 4.10253i −0.0113974 + 0.326380i
\(159\) 0.138023 1.31320i 0.0109459 0.104143i
\(160\) −0.898330 11.5494i −0.0710192 0.913061i
\(161\) 0.986150 3.95523i 0.0777195 0.311716i
\(162\) −2.49255 + 0.174296i −0.195833 + 0.0136940i
\(163\) −20.0042 + 8.90643i −1.56685 + 0.697606i −0.992640 0.121104i \(-0.961357\pi\)
−0.574208 + 0.818710i \(0.694690\pi\)
\(164\) 9.06766 + 4.03718i 0.708065 + 0.315251i
\(165\) 7.69083 + 12.0966i 0.598730 + 0.941717i
\(166\) 4.41306 4.26164i 0.342520 0.330767i
\(167\) 12.1442 6.45716i 0.939743 0.499670i 0.0723969 0.997376i \(-0.476935\pi\)
0.867346 + 0.497706i \(0.165824\pi\)
\(168\) 12.0615 4.39004i 0.930568 0.338699i
\(169\) 2.23494 5.53166i 0.171918 0.425513i
\(170\) 2.39322 + 0.0648592i 0.183552 + 0.00497448i
\(171\) 0.429527 + 6.29003i 0.0328468 + 0.481010i
\(172\) −2.13322 + 6.56536i −0.162656 + 0.500604i
\(173\) 20.4246 + 1.42823i 1.55286 + 0.108586i 0.820226 0.572040i \(-0.193848\pi\)
0.732631 + 0.680627i \(0.238292\pi\)
\(174\) 8.86028 3.22488i 0.671696 0.244477i
\(175\) −17.0091 3.33853i −1.28577 0.252370i
\(176\) 0.698082 3.95902i 0.0526199 0.298422i
\(177\) 8.15516 2.33845i 0.612979 0.175769i
\(178\) −4.23946 + 0.901124i −0.317761 + 0.0675421i
\(179\) −6.31325 7.01157i −0.471874 0.524070i 0.459478 0.888189i \(-0.348037\pi\)
−0.931352 + 0.364120i \(0.881370\pi\)
\(180\) 1.19074 + 3.19368i 0.0887524 + 0.238043i
\(181\) −1.12349 0.702034i −0.0835084 0.0521818i 0.487522 0.873110i \(-0.337901\pi\)
−0.571031 + 0.820929i \(0.693456\pi\)
\(182\) −4.47162 + 7.74508i −0.331459 + 0.574103i
\(183\) −4.06889 + 4.51896i −0.300781 + 0.334051i
\(184\) 1.95315 + 2.89567i 0.143988 + 0.213472i
\(185\) 2.52484 12.3521i 0.185630 0.908148i
\(186\) 7.02118 + 6.78027i 0.514818 + 0.497154i
\(187\) −5.44185 1.56043i −0.397948 0.114110i
\(188\) −1.65642 6.64355i −0.120807 0.484531i
\(189\) −15.5438 + 11.2932i −1.13064 + 0.821459i
\(190\) 8.88870 3.29757i 0.644854 0.239231i
\(191\) 15.9587 + 11.5947i 1.15473 + 0.838960i 0.989102 0.147229i \(-0.0470355\pi\)
0.165626 + 0.986189i \(0.447035\pi\)
\(192\) −3.08286 + 7.63036i −0.222487 + 0.550673i
\(193\) 2.58406 0.940521i 0.186005 0.0677002i −0.247339 0.968929i \(-0.579556\pi\)
0.433343 + 0.901229i \(0.357334\pi\)
\(194\) 11.1980 5.95407i 0.803968 0.427478i
\(195\) 6.43022 + 3.64581i 0.460478 + 0.261082i
\(196\) 3.25592 4.16739i 0.232566 0.297671i
\(197\) −11.1835 + 2.37712i −0.796790 + 0.169363i −0.588280 0.808657i \(-0.700195\pi\)
−0.208510 + 0.978020i \(0.566861\pi\)
\(198\) 0.756349 + 7.19618i 0.0537514 + 0.511411i
\(199\) 9.11252 7.64631i 0.645969 0.542032i −0.259876 0.965642i \(-0.583682\pi\)
0.905845 + 0.423610i \(0.139237\pi\)
\(200\) 11.8780 8.91668i 0.839900 0.630505i
\(201\) 3.25091 5.63074i 0.229301 0.397162i
\(202\) −2.27180 1.01147i −0.159844 0.0711670i
\(203\) 16.5988 21.2454i 1.16500 1.49114i
\(204\) 1.27664 + 0.678804i 0.0893830 + 0.0475258i
\(205\) 3.09387 + 20.8319i 0.216085 + 1.45496i
\(206\) 2.13892 + 2.73770i 0.149026 + 0.190744i
\(207\) −1.30283 1.09321i −0.0905530 0.0759830i
\(208\) −0.640607 1.97159i −0.0444181 0.136705i
\(209\) −22.2992 + 2.30696i −1.54247 + 0.159575i
\(210\) 7.45099 + 5.72818i 0.514167 + 0.395282i
\(211\) 3.73380 + 0.261093i 0.257045 + 0.0179744i 0.197698 0.980263i \(-0.436654\pi\)
0.0593476 + 0.998237i \(0.481098\pi\)
\(212\) 1.07318 + 0.307728i 0.0737060 + 0.0211348i
\(213\) −1.25925 + 2.58184i −0.0862821 + 0.176904i
\(214\) 6.45104 + 13.2266i 0.440984 + 0.904151i
\(215\) −14.1840 + 3.65438i −0.967338 + 0.249227i
\(216\) 1.72084 16.3727i 0.117088 1.11402i
\(217\) 27.2993 + 5.80265i 1.85320 + 0.393910i
\(218\) 6.44054 5.40425i 0.436208 0.366022i
\(219\) 7.30614 + 4.56538i 0.493703 + 0.308500i
\(220\) −11.2014 + 4.62779i −0.755200 + 0.312005i
\(221\) −2.85550 + 0.606956i −0.192082 + 0.0408283i
\(222\) −4.20858 + 5.38673i −0.282461 + 0.361534i
\(223\) −2.40754 4.93618i −0.161221 0.330551i 0.802857 0.596171i \(-0.203312\pi\)
−0.964078 + 0.265620i \(0.914423\pi\)
\(224\) 3.11871 + 17.6871i 0.208377 + 1.18177i
\(225\) −4.36286 + 5.76773i −0.290857 + 0.384515i
\(226\) −8.11212 6.80687i −0.539610 0.452787i
\(227\) 12.8307 9.32205i 0.851604 0.618726i −0.0739839 0.997259i \(-0.523571\pi\)
0.925588 + 0.378533i \(0.123571\pi\)
\(228\) 5.69339 + 0.607795i 0.377054 + 0.0402522i
\(229\) −5.94364 + 18.2926i −0.392767 + 1.20881i 0.537921 + 0.842995i \(0.319210\pi\)
−0.930687 + 0.365816i \(0.880790\pi\)
\(230\) −1.02193 + 2.34442i −0.0673843 + 0.154586i
\(231\) −13.6822 17.5125i −0.900226 1.15224i
\(232\) 4.01154 + 22.7506i 0.263370 + 1.49365i
\(233\) 19.5324 2.74510i 1.27961 0.179838i 0.533580 0.845749i \(-0.320846\pi\)
0.746031 + 0.665912i \(0.231957\pi\)
\(234\) 2.08652 + 3.09340i 0.136400 + 0.202222i
\(235\) 10.0098 10.5289i 0.652970 0.686828i
\(236\) 0.749788 + 7.13376i 0.0488070 + 0.464368i
\(237\) −5.24748 + 0.366939i −0.340860 + 0.0238353i
\(238\) −3.70269 + 0.258918i −0.240010 + 0.0167831i
\(239\) −2.85490 27.1625i −0.184668 1.75700i −0.558503 0.829503i \(-0.688624\pi\)
0.373835 0.927495i \(-0.378043\pi\)
\(240\) −2.14243 + 0.395049i −0.138293 + 0.0255003i
\(241\) 6.47601 + 9.60107i 0.417156 + 0.618460i 0.977786 0.209607i \(-0.0672185\pi\)
−0.560629 + 0.828067i \(0.689441\pi\)
\(242\) −14.8833 + 2.09171i −0.956735 + 0.134460i
\(243\) 2.33116 + 13.2207i 0.149544 + 0.848108i
\(244\) −3.16534 4.05145i −0.202640 0.259368i
\(245\) 11.1684 + 1.08570i 0.713522 + 0.0693631i
\(246\) 3.52867 10.8601i 0.224980 0.692417i
\(247\) −9.59459 + 6.44888i −0.610489 + 0.410332i
\(248\) −19.3469 + 14.0564i −1.22853 + 0.892580i
\(249\) 6.02217 + 5.05320i 0.381640 + 0.320234i
\(250\) 10.1759 + 3.83647i 0.643580 + 0.242639i
\(251\) 3.74128 + 21.2179i 0.236148 + 1.33926i 0.840183 + 0.542303i \(0.182447\pi\)
−0.604035 + 0.796958i \(0.706441\pi\)
\(252\) −2.31650 4.74952i −0.145926 0.299192i
\(253\) 3.72319 4.76546i 0.234075 0.299602i
\(254\) 10.3471 2.19934i 0.649235 0.137999i
\(255\) 0.237904 + 3.05862i 0.0148981 + 0.191538i
\(256\) −14.4478 9.02798i −0.902987 0.564249i
\(257\) 10.5281 8.83415i 0.656727 0.551059i −0.252377 0.967629i \(-0.581212\pi\)
0.909104 + 0.416570i \(0.136768\pi\)
\(258\) 7.76820 + 1.65118i 0.483627 + 0.102798i
\(259\) −2.04315 + 19.4393i −0.126955 + 1.20790i
\(260\) −3.97978 + 4.81888i −0.246816 + 0.298854i
\(261\) −4.93108 10.1102i −0.305226 0.625806i
\(262\) 4.16873 8.54717i 0.257545 0.528046i
\(263\) −8.87367 2.54448i −0.547174 0.156900i −0.00934918 0.999956i \(-0.502976\pi\)
−0.537825 + 0.843057i \(0.680754\pi\)
\(264\) 18.9960 + 1.32833i 1.16913 + 0.0817532i
\(265\) 0.670700 + 2.27187i 0.0412008 + 0.139560i
\(266\) −13.2214 + 6.42184i −0.810659 + 0.393748i
\(267\) −1.71626 5.28209i −0.105033 0.323259i
\(268\) 4.21116 + 3.53358i 0.257238 + 0.215848i
\(269\) 10.6918 + 13.6849i 0.651893 + 0.834385i 0.994461 0.105108i \(-0.0335189\pi\)
−0.342568 + 0.939493i \(0.611297\pi\)
\(270\) 10.7927 5.36872i 0.656822 0.326730i
\(271\) −7.82129 4.15865i −0.475110 0.252620i 0.214606 0.976701i \(-0.431153\pi\)
−0.689715 + 0.724081i \(0.742264\pi\)
\(272\) 0.529704 0.677990i 0.0321180 0.0411092i
\(273\) −10.4693 4.66125i −0.633633 0.282112i
\(274\) 5.21591 9.03423i 0.315105 0.545778i
\(275\) −21.0379 14.7883i −1.26863 0.891769i
\(276\) −1.18320 + 0.992820i −0.0712201 + 0.0597607i
\(277\) 0.322187 + 3.06540i 0.0193583 + 0.184182i 0.999928 0.0119882i \(-0.00381605\pi\)
−0.980570 + 0.196171i \(0.937149\pi\)
\(278\) −17.1824 + 3.65223i −1.03053 + 0.219046i
\(279\) 7.16896 9.17584i 0.429194 0.549343i
\(280\) −16.9913 + 15.5411i −1.01542 + 0.928756i
\(281\) 2.45090 1.30317i 0.146208 0.0777403i −0.394756 0.918786i \(-0.629171\pi\)
0.540964 + 0.841046i \(0.318060\pi\)
\(282\) −7.40194 + 2.69409i −0.440779 + 0.160430i
\(283\) −9.96888 + 24.6738i −0.592588 + 1.46671i 0.271035 + 0.962570i \(0.412634\pi\)
−0.863623 + 0.504138i \(0.831810\pi\)
\(284\) −1.96489 1.42758i −0.116595 0.0847113i
\(285\) 5.39305 + 10.8861i 0.319457 + 0.644839i
\(286\) −10.7339 + 7.79864i −0.634709 + 0.461143i
\(287\) −7.89907 31.6814i −0.466267 1.87010i
\(288\) 7.20298 + 2.06542i 0.424440 + 0.121706i
\(289\) 11.3572 + 10.9675i 0.668072 + 0.645150i
\(290\) −12.4816 + 11.4163i −0.732945 + 0.670388i
\(291\) 9.08783 + 13.4733i 0.532738 + 0.789817i
\(292\) −4.87407 + 5.41320i −0.285233 + 0.316784i
\(293\) −0.0696395 + 0.120619i −0.00406838 + 0.00704665i −0.868052 0.496473i \(-0.834628\pi\)
0.863984 + 0.503519i \(0.167962\pi\)
\(294\) −5.15960 3.22408i −0.300914 0.188032i
\(295\) −11.9197 + 9.46356i −0.693991 + 0.550990i
\(296\) −11.2068 12.4465i −0.651384 0.723435i
\(297\) −27.8810 + 5.92628i −1.61782 + 0.343878i
\(298\) −22.4171 + 6.42801i −1.29859 + 0.372365i
\(299\) 0.541523 3.07113i 0.0313171 0.177608i
\(300\) 4.47048 + 4.81162i 0.258104 + 0.277799i
\(301\) 21.3390 7.76676i 1.22996 0.447668i
\(302\) −3.76023 0.262941i −0.216377 0.0151306i
\(303\) 0.984729 3.03069i 0.0565712 0.174108i
\(304\) 0.944474 3.27360i 0.0541693 0.187754i
\(305\) 3.65086 10.2798i 0.209047 0.588620i
\(306\) −0.580121 + 1.43585i −0.0331633 + 0.0820821i
\(307\) 23.0553 8.39145i 1.31584 0.478925i 0.413715 0.910407i \(-0.364231\pi\)
0.902122 + 0.431481i \(0.142009\pi\)
\(308\) 16.5907 8.82141i 0.945340 0.502646i
\(309\) −3.20244 + 3.09256i −0.182180 + 0.175930i
\(310\) −16.2859 6.43239i −0.924976 0.365335i
\(311\) −29.5766 13.1683i −1.67713 0.746708i −0.999941 0.0109024i \(-0.996530\pi\)
−0.677193 0.735806i \(-0.736804\pi\)
\(312\) 8.97069 3.99401i 0.507865 0.226116i
\(313\) 32.8012 2.29368i 1.85403 0.129647i 0.901250 0.433300i \(-0.142651\pi\)
0.952782 + 0.303654i \(0.0982066\pi\)
\(314\) 1.42515 5.71596i 0.0804258 0.322570i
\(315\) 5.86710 9.55461i 0.330574 0.538341i
\(316\) 0.464898 4.42321i 0.0261526 0.248825i
\(317\) 0.244963 7.01483i 0.0137585 0.393992i −0.972904 0.231211i \(-0.925731\pi\)
0.986662 0.162781i \(-0.0520465\pi\)
\(318\) 0.223030 1.26487i 0.0125069 0.0709301i
\(319\) 35.3162 18.7779i 1.97733 1.05136i
\(320\) −0.115332 14.7632i −0.00644726 0.825287i
\(321\) −15.9920 + 9.99289i −0.892585 + 0.557749i
\(322\) 1.22526 3.77095i 0.0682809 0.210147i
\(323\) −4.44566 1.80461i −0.247363 0.100411i
\(324\) 2.70714 0.150396
\(325\) −13.1589 1.64015i −0.729926 0.0909794i
\(326\) −20.0149 + 7.28483i −1.10852 + 0.403469i
\(327\) 7.74989 + 7.48399i 0.428570 + 0.413865i
\(328\) 24.7026 + 13.1346i 1.36397 + 0.725237i
\(329\) −13.8667 + 17.7486i −0.764497 + 0.978511i
\(330\) 6.64184 + 12.2595i 0.365621 + 0.674861i
\(331\) 27.4511 + 5.83491i 1.50885 + 0.320716i 0.886760 0.462231i \(-0.152951\pi\)
0.622089 + 0.782947i \(0.286284\pi\)
\(332\) −5.09174 + 4.27248i −0.279446 + 0.234483i
\(333\) 6.91595 + 4.32157i 0.378992 + 0.236820i
\(334\) 12.2219 5.44155i 0.668754 0.297748i
\(335\) −1.53304 + 11.5629i −0.0837589 + 0.631746i
\(336\) 3.24671 0.930979i 0.177122 0.0507890i
\(337\) −10.4329 + 10.0749i −0.568317 + 0.548817i −0.922320 0.386427i \(-0.873709\pi\)
0.354003 + 0.935244i \(0.384820\pi\)
\(338\) 2.54395 5.21588i 0.138373 0.283706i
\(339\) 7.58814 11.2499i 0.412131 0.611010i
\(340\) −2.58171 0.250973i −0.140013 0.0136109i
\(341\) 33.4973 + 24.3372i 1.81398 + 1.31794i
\(342\) −0.0100082 + 6.13252i −0.000541180 + 0.331609i
\(343\) 6.87036 0.370964
\(344\) −7.28904 + 18.0410i −0.392999 + 0.972706i
\(345\) −3.12463 0.988334i −0.168224 0.0532101i
\(346\) 19.7217 + 2.77170i 1.06024 + 0.149007i
\(347\) −22.1122 11.7573i −1.18704 0.631163i −0.245942 0.969284i \(-0.579097\pi\)
−0.941102 + 0.338121i \(0.890209\pi\)
\(348\) −9.81997 + 2.81583i −0.526406 + 0.150944i
\(349\) 15.2284 + 26.3764i 0.815158 + 1.41189i 0.909214 + 0.416328i \(0.136683\pi\)
−0.0940566 + 0.995567i \(0.529983\pi\)
\(350\) −16.2778 4.39357i −0.870087 0.234846i
\(351\) −11.2598 + 9.44810i −0.601004 + 0.504302i
\(352\) −6.44592 + 25.8532i −0.343568 + 1.37798i
\(353\) −0.348232 0.386751i −0.0185345 0.0205847i 0.733806 0.679359i \(-0.237742\pi\)
−0.752341 + 0.658774i \(0.771075\pi\)
\(354\) 8.07183 1.71572i 0.429013 0.0911895i
\(355\) 0.319304 5.14336i 0.0169469 0.272981i
\(356\) 4.65014 0.653534i 0.246457 0.0346372i
\(357\) −0.825925 4.68406i −0.0437126 0.247907i
\(358\) −5.65016 7.23188i −0.298620 0.382217i
\(359\) −3.52271 14.1288i −0.185921 0.745690i −0.988762 0.149496i \(-0.952235\pi\)
0.802841 0.596193i \(-0.203321\pi\)
\(360\) 2.72017 + 9.21408i 0.143366 + 0.485625i
\(361\) −18.9999 0.0620152i −0.999995 0.00326396i
\(362\) −1.04252 0.757433i −0.0547935 0.0398098i
\(363\) −4.65924 18.6872i −0.244547 0.980824i
\(364\) 5.41831 8.03297i 0.283997 0.421042i
\(365\) −15.2411 2.56483i −0.797758 0.134249i
\(366\) −4.25477 + 4.10879i −0.222401 + 0.214770i
\(367\) −0.155394 + 4.44989i −0.00811148 + 0.232282i 0.988564 + 0.150804i \(0.0481863\pi\)
−0.996675 + 0.0814782i \(0.974036\pi\)
\(368\) 0.459546 + 0.795958i 0.0239555 + 0.0414922i
\(369\) −13.3251 2.83234i −0.693678 0.147446i
\(370\) 3.28803 11.8143i 0.170937 0.614196i
\(371\) −1.37575 3.40511i −0.0714255 0.176784i
\(372\) −7.07609 7.85880i −0.366878 0.407460i
\(373\) −13.2416 5.89556i −0.685626 0.305261i 0.0341996 0.999415i \(-0.489112\pi\)
−0.719826 + 0.694154i \(0.755778\pi\)
\(374\) −5.17449 1.88336i −0.267567 0.0973863i
\(375\) −3.52620 + 13.4821i −0.182092 + 0.696212i
\(376\) −3.35127 19.0060i −0.172828 0.980158i
\(377\) 11.5338 17.0996i 0.594023 0.880675i
\(378\) −15.8488 + 9.90342i −0.815173 + 0.509377i
\(379\) 3.96395 12.1998i 0.203614 0.626661i −0.796153 0.605095i \(-0.793135\pi\)
0.999767 0.0215655i \(-0.00686503\pi\)
\(380\) −9.85619 + 2.89225i −0.505612 + 0.148369i
\(381\) 4.18880 + 12.8918i 0.214599 + 0.660468i
\(382\) 14.6984 + 12.3334i 0.752036 + 0.631033i
\(383\) 13.7555 + 17.6062i 0.702872 + 0.899636i 0.998448 0.0556836i \(-0.0177338\pi\)
−0.295576 + 0.955319i \(0.595512\pi\)
\(384\) 2.15233 4.41292i 0.109835 0.225196i
\(385\) 34.6818 + 19.6639i 1.76755 + 1.00217i
\(386\) 2.57120 0.737279i 0.130870 0.0375265i
\(387\) 0.990350 9.42255i 0.0503423 0.478975i
\(388\) −12.5528 + 5.58888i −0.637274 + 0.283733i
\(389\) 5.33648 21.4034i 0.270570 1.08520i −0.669116 0.743158i \(-0.733327\pi\)
0.939686 0.342039i \(-0.111118\pi\)
\(390\) 5.99204 + 3.97393i 0.303419 + 0.201228i
\(391\) 1.18238 0.526431i 0.0597957 0.0266228i
\(392\) 9.97437 11.0777i 0.503782 0.559506i
\(393\) 11.4510 + 4.16781i 0.577624 + 0.210238i
\(394\) −11.0129 + 1.54777i −0.554823 + 0.0779753i
\(395\) 8.44915 4.20295i 0.425123 0.211473i
\(396\) −0.273599 7.83484i −0.0137489 0.393716i
\(397\) 3.34822 2.09220i 0.168043 0.105005i −0.443291 0.896378i \(-0.646189\pi\)
0.611333 + 0.791373i \(0.290633\pi\)
\(398\) 9.36093 6.80111i 0.469221 0.340909i
\(399\) −9.95499 15.9893i −0.498373 0.800467i
\(400\) 3.28161 2.12258i 0.164081 0.106129i
\(401\) −15.5637 13.0595i −0.777217 0.652162i 0.165329 0.986238i \(-0.447131\pi\)
−0.942546 + 0.334076i \(0.891576\pi\)
\(402\) 3.53650 5.24307i 0.176384 0.261501i
\(403\) 21.1436 + 2.97154i 1.05324 + 0.148023i
\(404\) 2.37894 + 1.26490i 0.118356 + 0.0629313i
\(405\) 3.08179 + 4.84722i 0.153136 + 0.240860i
\(406\) 17.5478 19.4888i 0.870881 0.967211i
\(407\) −14.4991 + 25.1131i −0.718693 + 1.24481i
\(408\) 3.45619 + 2.15967i 0.171107 + 0.106920i
\(409\) −32.4014 + 2.26573i −1.60215 + 0.112033i −0.842644 0.538471i \(-0.819002\pi\)
−0.759503 + 0.650504i \(0.774558\pi\)
\(410\) 1.58858 + 20.4236i 0.0784544 + 1.00865i
\(411\) 12.2119 + 5.43710i 0.602370 + 0.268192i
\(412\) −2.10485 3.12057i −0.103699 0.153740i
\(413\) 16.9736 16.3912i 0.835216 0.806559i
\(414\) −1.19000 1.14917i −0.0584851 0.0564784i
\(415\) −13.4464 4.25317i −0.660060 0.208780i
\(416\) 3.32398 + 13.3317i 0.162971 + 0.653643i
\(417\) −6.95593 21.4082i −0.340634 1.04836i
\(418\) −21.7941 + 0.725457i −1.06598 + 0.0354832i
\(419\) −3.21043 9.88068i −0.156840 0.482703i 0.841503 0.540252i \(-0.181671\pi\)
−0.998343 + 0.0575497i \(0.981671\pi\)
\(420\) −7.62016 6.75418i −0.371826 0.329570i
\(421\) −0.351610 10.0688i −0.0171364 0.490722i −0.977372 0.211530i \(-0.932155\pi\)
0.960235 0.279193i \(-0.0900668\pi\)
\(422\) 3.60529 + 0.506690i 0.175503 + 0.0246653i
\(423\) 4.11946 + 8.44614i 0.200295 + 0.410665i
\(424\) 2.95704 + 1.07627i 0.143607 + 0.0522685i
\(425\) −2.48963 4.90834i −0.120765 0.238090i
\(426\) −1.39706 + 2.41978i −0.0676878 + 0.117239i
\(427\) −4.09156 + 16.4104i −0.198005 + 0.794153i
\(428\) −5.97269 14.7829i −0.288701 0.714560i
\(429\) −11.3764 12.6348i −0.549258 0.610013i
\(430\) −14.0110 + 2.58354i −0.675672 + 0.124589i
\(431\) 0.971983 27.8340i 0.0468188 1.34071i −0.717808 0.696241i \(-0.754854\pi\)
0.764627 0.644473i \(-0.222923\pi\)
\(432\) 0.752246 4.26620i 0.0361924 0.205258i
\(433\) −0.341577 + 0.181620i −0.0164152 + 0.00872809i −0.477659 0.878545i \(-0.658514\pi\)
0.461244 + 0.887273i \(0.347403\pi\)
\(434\) 26.0955 + 7.48278i 1.25263 + 0.359185i
\(435\) −16.2209 14.3775i −0.777731 0.689347i
\(436\) −7.36941 + 5.35419i −0.352931 + 0.256419i
\(437\) 3.56639 3.68107i 0.170604 0.176089i
\(438\) 6.77957 + 4.92564i 0.323940 + 0.235356i
\(439\) −21.6653 1.51498i −1.03403 0.0723063i −0.457357 0.889283i \(-0.651204\pi\)
−0.576671 + 0.816977i \(0.695648\pi\)
\(440\) −32.4060 + 10.8100i −1.54490 + 0.515344i
\(441\) −3.18182 + 6.52370i −0.151515 + 0.310653i
\(442\) −2.81195 + 0.395194i −0.133751 + 0.0187975i
\(443\) 6.00921 + 2.18718i 0.285506 + 0.103916i 0.480804 0.876828i \(-0.340345\pi\)
−0.195297 + 0.980744i \(0.562567\pi\)
\(444\) 4.95577 5.50394i 0.235191 0.261206i
\(445\) 6.46387 + 7.58225i 0.306417 + 0.359433i
\(446\) −2.00117 4.95306i −0.0947580 0.234534i
\(447\) −11.1946 27.7075i −0.529485 1.31052i
\(448\) 2.39256 + 22.7637i 0.113038 + 1.07548i
\(449\) −14.3302 24.8206i −0.676282 1.17136i −0.976092 0.217356i \(-0.930257\pi\)
0.299810 0.953999i \(-0.403077\pi\)
\(450\) −4.62475 + 5.30055i −0.218013 + 0.249870i
\(451\) 8.41155 47.7043i 0.396084 2.24631i
\(452\) 8.25318 + 7.97000i 0.388197 + 0.374877i
\(453\) −0.168573 4.82729i −0.00792023 0.226806i
\(454\) 13.0825 8.17485i 0.613992 0.383665i
\(455\) 20.5515 + 0.556971i 0.963469 + 0.0261112i
\(456\) 15.8891 + 2.82843i 0.744077 + 0.132453i
\(457\) −13.6106 −0.636676 −0.318338 0.947977i \(-0.603125\pi\)
−0.318338 + 0.947977i \(0.603125\pi\)
\(458\) −7.00846 + 17.3465i −0.327484 + 0.810550i
\(459\) −5.86408 1.68150i −0.273712 0.0784857i
\(460\) 1.28170 2.45663i 0.0597594 0.114541i
\(461\) 14.8796 + 30.5078i 0.693014 + 1.42089i 0.897052 + 0.441926i \(0.145704\pi\)
−0.204038 + 0.978963i \(0.565407\pi\)
\(462\) −12.0880 17.9212i −0.562384 0.833769i
\(463\) −1.03319 + 9.83010i −0.0480162 + 0.456843i 0.943926 + 0.330156i \(0.107101\pi\)
−0.991943 + 0.126688i \(0.959565\pi\)
\(464\) 0.635418 + 6.04560i 0.0294985 + 0.280660i
\(465\) 6.01606 21.6164i 0.278988 1.00244i
\(466\) 19.1391 1.33833i 0.886601 0.0619972i
\(467\) 6.89680 + 1.46596i 0.319146 + 0.0678365i 0.364699 0.931125i \(-0.381172\pi\)
−0.0455534 + 0.998962i \(0.514505\pi\)
\(468\) −2.02134 3.50106i −0.0934363 0.161836i
\(469\) 0.631107 18.0725i 0.0291418 0.834512i
\(470\) 10.4272 9.53726i 0.480972 0.439921i
\(471\) 7.47535 + 1.05059i 0.344446 + 0.0484087i
\(472\) 0.705612 + 20.2061i 0.0324784 + 0.930060i
\(473\) 33.6073 + 2.35005i 1.54527 + 0.108056i
\(474\) −5.11667 −0.235016
\(475\) −16.3989 14.3553i −0.752434 0.658667i
\(476\) 4.02146 0.184323
\(477\) −1.52852 0.106885i −0.0699862 0.00489391i
\(478\) −0.927154 26.5502i −0.0424071 1.21438i
\(479\) −14.7132 2.06780i −0.672263 0.0944803i −0.205221 0.978716i \(-0.565791\pi\)
−0.467042 + 0.884235i \(0.654680\pi\)
\(480\) 14.3478 1.62143i 0.654883 0.0740078i
\(481\) −0.521871 + 14.9444i −0.0237953 + 0.681407i
\(482\) 5.63239 + 9.75558i 0.256548 + 0.444355i
\(483\) 4.96985 + 1.05637i 0.226136 + 0.0480667i
\(484\) 16.2441 1.13589i 0.738366 0.0516316i
\(485\) −24.2972 16.1139i −1.10328 0.731697i
\(486\) 1.36494 + 12.9866i 0.0619150 + 0.589082i
\(487\) 2.54993 24.2610i 0.115549 1.09937i −0.771032 0.636797i \(-0.780259\pi\)
0.886580 0.462574i \(-0.153074\pi\)
\(488\) −8.10369 12.0142i −0.366837 0.543858i
\(489\) −11.9647 24.5313i −0.541064 1.10935i
\(490\) 10.7633 + 1.81128i 0.486237 + 0.0818255i
\(491\) 0.0909826 + 0.0260888i 0.00410599 + 0.00117737i 0.277690 0.960671i \(-0.410431\pi\)
−0.273584 + 0.961848i \(0.588209\pi\)
\(492\) −4.63459 + 11.4710i −0.208943 + 0.517153i
\(493\) 8.56040 0.385541
\(494\) −9.74746 + 5.60651i −0.438559 + 0.252249i
\(495\) 13.7171 9.40904i 0.616538 0.422905i
\(496\) −5.33654 + 3.33464i −0.239618 + 0.149730i
\(497\) 0.278828 + 7.98459i 0.0125071 + 0.358158i
\(498\) 5.50060 + 5.31187i 0.246488 + 0.238031i
\(499\) 4.90413 27.8127i 0.219539 1.24507i −0.653316 0.757086i \(-0.726622\pi\)
0.872854 0.487981i \(-0.162266\pi\)
\(500\) −10.7082 4.91554i −0.478886 0.219830i
\(501\) 8.57182 + 14.8468i 0.382961 + 0.663307i
\(502\) 2.19059 + 20.8421i 0.0977710 + 0.930229i
\(503\) 10.2450 + 25.3572i 0.456801 + 1.13062i 0.963311 + 0.268389i \(0.0864912\pi\)
−0.506509 + 0.862235i \(0.669064\pi\)
\(504\) −5.57966 13.8101i −0.248538 0.615153i
\(505\) 0.443318 + 5.69953i 0.0197274 + 0.253626i
\(506\) 3.93605 4.37143i 0.174979 0.194334i
\(507\) 6.98790 + 2.54339i 0.310343 + 0.112956i
\(508\) −11.3494 + 1.59506i −0.503549 + 0.0707692i
\(509\) 3.94420 8.08681i 0.174824 0.358442i −0.793333 0.608789i \(-0.791656\pi\)
0.968156 + 0.250347i \(0.0805447\pi\)
\(510\) 0.0233115 + 2.98401i 0.00103225 + 0.132134i
\(511\) 23.9033 + 1.67148i 1.05742 + 0.0739419i
\(512\) −7.03293 5.10973i −0.310815 0.225820i
\(513\) −24.0294 + 2.48595i −1.06093 + 0.109758i
\(514\) 10.8151 7.85766i 0.477035 0.346586i
\(515\) 3.19134 7.32126i 0.140627 0.322613i
\(516\) −8.27113 2.37171i −0.364116 0.104409i
\(517\) −29.5034 + 15.6872i −1.29756 + 0.689923i
\(518\) −3.30151 + 18.7238i −0.145060 + 0.822676i
\(519\) −0.890642 + 25.5047i −0.0390949 + 1.11953i
\(520\) −12.1378 + 12.7672i −0.532278 + 0.559878i
\(521\) 8.71746 + 9.68172i 0.381919 + 0.424164i 0.903199 0.429222i \(-0.141212\pi\)
−0.521280 + 0.853385i \(0.674545\pi\)
\(522\) −4.09876 10.1448i −0.179398 0.444025i
\(523\) −2.72732 + 10.9387i −0.119257 + 0.478315i 0.880732 + 0.473615i \(0.157051\pi\)
−0.999989 + 0.00469914i \(0.998504\pi\)
\(524\) −5.15157 + 8.92277i −0.225047 + 0.389793i
\(525\) 3.41885 21.3331i 0.149211 0.931053i
\(526\) −8.43771 3.07107i −0.367902 0.133905i
\(527\) 3.88463 + 7.96468i 0.169217 + 0.346947i
\(528\) 4.96203 + 0.697368i 0.215945 + 0.0303490i
\(529\) −0.754436 21.6042i −0.0328016 0.939314i
\(530\) 0.496647 + 2.24997i 0.0215730 + 0.0977324i
\(531\) −3.04220 9.36294i −0.132020 0.406317i
\(532\) 14.7752 5.94152i 0.640584 0.257598i
\(533\) −7.71901 23.7567i −0.334347 1.02902i
\(534\) −1.30693 5.24180i −0.0565563 0.226835i
\(535\) 19.6701 27.5232i 0.850412 1.18993i
\(536\) 11.1461 + 10.7637i 0.481440 + 0.464921i
\(537\) 8.45954 8.16928i 0.365056 0.352531i
\(538\) 9.44603 + 14.0043i 0.407247 + 0.603769i
\(539\) −23.5778 10.4975i −1.01557 0.452160i
\(540\) −12.0706 + 4.98686i −0.519434 + 0.214600i
\(541\) −21.5744 + 1.50863i −0.927557 + 0.0648611i −0.525538 0.850770i \(-0.676136\pi\)
−0.402019 + 0.915631i \(0.631691\pi\)
\(542\) −7.30703 4.56594i −0.313864 0.196124i
\(543\) 0.825638 1.43005i 0.0354315 0.0613692i
\(544\) −3.81571 + 4.23778i −0.163597 + 0.181693i
\(545\) −17.9762 7.10000i −0.770015 0.304131i
\(546\) −9.84240 5.23329i −0.421216 0.223964i
\(547\) −33.8974 4.76397i −1.44935 0.203693i −0.629825 0.776737i \(-0.716873\pi\)
−0.819524 + 0.573044i \(0.805762\pi\)
\(548\) −6.32017 + 9.37004i −0.269984 + 0.400268i
\(549\) 5.40548 + 4.53574i 0.230700 + 0.193581i
\(550\) −19.4102 15.7769i −0.827654 0.672731i
\(551\) 31.4516 12.6476i 1.33988 0.538805i
\(552\) −3.52211 + 2.55896i −0.149911 + 0.108917i
\(553\) −12.4074 + 7.75298i −0.527615 + 0.329690i
\(554\) 0.104633 + 2.99630i 0.00444544 + 0.127301i
\(555\) 15.4966 + 2.60782i 0.657795 + 0.110696i
\(556\) 18.8469 2.64875i 0.799285 0.112332i
\(557\) −1.61339 0.587227i −0.0683617 0.0248816i 0.307613 0.951512i \(-0.400470\pi\)
−0.375975 + 0.926630i \(0.622692\pi\)
\(558\) 7.57883 8.41714i 0.320837 0.356326i
\(559\) 15.8707 7.06610i 0.671260 0.298864i
\(560\) −4.74543 + 3.76761i −0.200531 + 0.159210i
\(561\) 1.70707 6.84668i 0.0720725 0.289067i
\(562\) 2.46659 1.09820i 0.104047 0.0463247i
\(563\) −0.500092 + 4.75806i −0.0210764 + 0.200528i −0.999993 0.00373178i \(-0.998812\pi\)
0.978917 + 0.204260i \(0.0654788\pi\)
\(564\) 8.20367 2.35237i 0.345437 0.0990525i
\(565\) −4.87519 + 23.8506i −0.205101 + 1.00340i
\(566\) −11.3472 + 23.2653i −0.476960 + 0.977913i
\(567\) −5.48262 7.01743i −0.230248 0.294704i
\(568\) −5.24419 4.40039i −0.220041 0.184636i
\(569\) 3.68570 + 11.3434i 0.154513 + 0.475541i 0.998111 0.0614336i \(-0.0195672\pi\)
−0.843599 + 0.536974i \(0.819567\pi\)
\(570\) 4.49438 + 10.9290i 0.188249 + 0.457766i
\(571\) −9.93584 + 30.5794i −0.415802 + 1.27971i 0.495730 + 0.868477i \(0.334901\pi\)
−0.911532 + 0.411230i \(0.865099\pi\)
\(572\) 12.1907 7.61758i 0.509718 0.318507i
\(573\) −13.7490 + 20.3837i −0.574373 + 0.851543i
\(574\) −5.51503 31.2773i −0.230193 1.30549i
\(575\) 5.85776 0.501691i 0.244285 0.0209220i
\(576\) 8.97387 + 3.26622i 0.373911 + 0.136093i
\(577\) 31.1853 + 13.8846i 1.29826 + 0.578024i 0.935325 0.353789i \(-0.115107\pi\)
0.362938 + 0.931813i \(0.381774\pi\)
\(578\) 10.2760 + 11.4127i 0.427427 + 0.474706i
\(579\) 1.28399 + 3.17800i 0.0533609 + 0.132073i
\(580\) 14.3530 11.3955i 0.595976 0.473172i
\(581\) 21.3871 + 4.54598i 0.887288 + 0.188599i
\(582\) 7.90398 + 13.6901i 0.327630 + 0.567472i
\(583\) 0.190147 5.44509i 0.00787507 0.225513i
\(584\) −14.7692 + 14.2625i −0.611154 + 0.590185i
\(585\) 3.96768 7.60486i 0.164044 0.314422i
\(586\) −0.0757573 + 0.112315i −0.00312951 + 0.00463968i
\(587\) −4.15391 16.6604i −0.171450 0.687650i −0.993061 0.117601i \(-0.962480\pi\)
0.821611 0.570049i \(-0.193076\pi\)
\(588\) 5.33286 + 3.87455i 0.219924 + 0.159784i
\(589\) 26.0399 + 23.5235i 1.07295 + 0.969268i
\(590\) −12.2081 + 8.37397i −0.502600 + 0.344751i
\(591\) −3.44761 13.8276i −0.141816 0.568792i
\(592\) −2.71331 3.47287i −0.111516 0.142734i
\(593\) −5.65771 32.0865i −0.232334 1.31763i −0.848155 0.529748i \(-0.822286\pi\)
0.615821 0.787886i \(-0.288825\pi\)
\(594\) −27.4557 + 3.85865i −1.12652 + 0.158322i
\(595\) 4.57802 + 7.20057i 0.187680 + 0.295195i
\(596\) 24.7144 5.25320i 1.01234 0.215180i
\(597\) 9.92124 + 11.0187i 0.406049 + 0.450963i
\(598\) 0.733836 2.94325i 0.0300088 0.120359i
\(599\) 29.0442 24.3709i 1.18671 0.995769i 0.186801 0.982398i \(-0.440188\pi\)
0.999911 0.0133717i \(-0.00425647\pi\)
\(600\) 11.6240 + 14.4083i 0.474548 + 0.588215i
\(601\) −23.9049 41.4046i −0.975103 1.68893i −0.679596 0.733586i \(-0.737845\pi\)
−0.295506 0.955341i \(-0.595488\pi\)
\(602\) 21.2328 6.08840i 0.865383 0.248145i
\(603\) −6.66170 3.54209i −0.271285 0.144245i
\(604\) 4.04421 + 0.568377i 0.164557 + 0.0231269i
\(605\) 20.5260 + 27.7925i 0.834502 + 1.12992i
\(606\) 1.16115 2.87394i 0.0471684 0.116746i
\(607\) −46.5402 −1.88901 −0.944505 0.328498i \(-0.893458\pi\)
−0.944505 + 0.328498i \(0.893458\pi\)
\(608\) −7.75810 + 21.2075i −0.314633 + 0.860076i
\(609\) 27.1870 + 19.7525i 1.10167 + 0.800414i
\(610\) 4.24003 9.72706i 0.171674 0.393837i
\(611\) −9.63545 + 14.2851i −0.389809 + 0.577915i
\(612\) 0.735516 1.50803i 0.0297315 0.0609586i
\(613\) −33.5058 + 32.3561i −1.35329 + 1.30685i −0.440879 + 0.897566i \(0.645333\pi\)
−0.912406 + 0.409286i \(0.865778\pi\)
\(614\) 22.9406 6.57810i 0.925806 0.265471i
\(615\) −25.8152 + 4.76015i −1.04097 + 0.191948i
\(616\) 48.3840 21.5419i 1.94944 0.867949i
\(617\) −35.2764 22.0432i −1.42018 0.887424i −0.420374 0.907351i \(-0.638101\pi\)
−0.999801 + 0.0199263i \(0.993657\pi\)
\(618\) −3.31725 + 2.78350i −0.133439 + 0.111969i
\(619\) −19.4411 4.13233i −0.781404 0.166092i −0.200096 0.979776i \(-0.564125\pi\)
−0.581308 + 0.813684i \(0.697459\pi\)
\(620\) 17.1157 + 8.18301i 0.687384 + 0.328638i
\(621\) 4.01207 5.13522i 0.160999 0.206069i
\(622\) −27.8054 14.7844i −1.11490 0.592801i
\(623\) −11.1118 10.7305i −0.445183 0.429908i
\(624\) 2.42810 0.883755i 0.0972017 0.0353785i
\(625\) −3.38873 24.7693i −0.135549 0.990771i
\(626\) 31.9835 1.27832
\(627\) −3.84374 27.6773i −0.153504 1.10533i
\(628\) −1.97231 + 6.07014i −0.0787036 + 0.242225i
\(629\) −5.26316 + 3.28878i −0.209856 + 0.131132i
\(630\) 6.34130 8.87299i 0.252643 0.353509i
\(631\) −34.4315 + 18.3076i −1.37070 + 0.728813i −0.981341 0.192274i \(-0.938414\pi\)
−0.389356 + 0.921087i \(0.627303\pi\)
\(632\) 2.17689 12.3457i 0.0865919 0.491087i
\(633\) −0.162817 + 4.66247i −0.00647140 + 0.185317i
\(634\) 0.713664 6.79006i 0.0283432 0.269668i
\(635\) −15.7761 18.5057i −0.626057 0.734378i
\(636\) −0.336647 + 1.35022i −0.0133489 + 0.0535396i
\(637\) −13.2766 + 0.928391i −0.526038 + 0.0367842i
\(638\) 35.5423 15.8245i 1.40713 0.626497i
\(639\) 3.04519 + 1.35580i 0.120466 + 0.0536348i
\(640\) −0.545761 + 8.79114i −0.0215731 + 0.347500i
\(641\) −24.1368 + 23.3086i −0.953345 + 0.920635i −0.996921 0.0784152i \(-0.975014\pi\)
0.0435754 + 0.999050i \(0.486125\pi\)
\(642\) −16.1955 + 8.61128i −0.639184 + 0.339860i
\(643\) −15.3315 + 5.58022i −0.604617 + 0.220063i −0.626146 0.779706i \(-0.715369\pi\)
0.0215293 + 0.999768i \(0.493146\pi\)
\(644\) −1.60926 + 3.98307i −0.0634139 + 0.156955i
\(645\) −5.16919 17.5097i −0.203537 0.689443i
\(646\) −4.19129 2.05270i −0.164904 0.0807625i
\(647\) −10.2385 + 31.5109i −0.402517 + 1.23882i 0.520433 + 0.853902i \(0.325771\pi\)
−0.922950 + 0.384919i \(0.874229\pi\)
\(648\) 7.61191 + 0.532276i 0.299024 + 0.0209098i
\(649\) 32.8951 11.9728i 1.29124 0.469974i
\(650\) −12.6572 2.48434i −0.496455 0.0974440i
\(651\) −6.04072 + 34.2586i −0.236754 + 1.34270i
\(652\) 22.1828 6.36081i 0.868745 0.249109i
\(653\) −26.3089 + 5.59214i −1.02955 + 0.218837i −0.691565 0.722315i \(-0.743078\pi\)
−0.337984 + 0.941152i \(0.609745\pi\)
\(654\) 7.01213 + 7.78775i 0.274196 + 0.304525i
\(655\) −21.8411 + 0.933587i −0.853401 + 0.0364783i
\(656\) 6.24327 + 3.90123i 0.243759 + 0.152317i
\(657\) 4.99865 8.65791i 0.195016 0.337777i
\(658\) −14.6595 + 16.2810i −0.571487 + 0.634701i
\(659\) 11.6741 + 17.3076i 0.454758 + 0.674206i 0.984786 0.173774i \(-0.0555962\pi\)
−0.530028 + 0.847980i \(0.677818\pi\)
\(660\) −6.25200 13.7521i −0.243359 0.535299i
\(661\) −9.51701 9.19047i −0.370169 0.357468i 0.486186 0.873855i \(-0.338388\pi\)
−0.856355 + 0.516387i \(0.827277\pi\)
\(662\) 26.2406 + 7.52437i 1.01987 + 0.292443i
\(663\) −0.880287 3.53064i −0.0341875 0.137119i
\(664\) −15.1570 + 11.0122i −0.588205 + 0.427356i
\(665\) 27.4585 + 19.6916i 1.06479 + 0.763609i
\(666\) 6.41751 + 4.66259i 0.248673 + 0.180672i
\(667\) −3.42561 + 8.47867i −0.132640 + 0.328296i
\(668\) −13.6208 + 4.95756i −0.527004 + 0.191814i
\(669\) 6.04417 3.21374i 0.233681 0.124250i
\(670\) −2.27211 + 11.1157i −0.0877792 + 0.429438i
\(671\) −15.4476 + 19.7720i −0.596348 + 0.763291i
\(672\) −21.8967 + 4.65430i −0.844685 + 0.179543i
\(673\) −4.11130 39.1164i −0.158479 1.50783i −0.727845 0.685742i \(-0.759478\pi\)
0.569366 0.822084i \(-0.307189\pi\)
\(674\) −10.8069 + 9.06809i −0.416267 + 0.349290i
\(675\) −22.6702 15.9357i −0.872577 0.613367i
\(676\) −3.14372 + 5.44508i −0.120912 + 0.209426i
\(677\) 11.8028 + 5.25494i 0.453618 + 0.201964i 0.620811 0.783960i \(-0.286804\pi\)
−0.167193 + 0.985924i \(0.553470\pi\)
\(678\) 8.12630 10.4012i 0.312089 0.399455i
\(679\) 39.9101 + 21.2206i 1.53161 + 0.814370i
\(680\) −7.20988 1.21330i −0.276486 0.0465279i
\(681\) 12.1704 + 15.5774i 0.466372 + 0.596928i
\(682\) 30.8520 + 25.8879i 1.18139 + 0.991300i
\(683\) 9.76055 + 30.0399i 0.373477 + 1.14944i 0.944500 + 0.328510i \(0.106547\pi\)
−0.571023 + 0.820934i \(0.693453\pi\)
\(684\) 0.474297 6.62731i 0.0181352 0.253402i
\(685\) −23.9723 0.649678i −0.915933 0.0248229i
\(686\) 6.66649 + 0.466166i 0.254528 + 0.0177983i
\(687\) −23.0453 6.60813i −0.879233 0.252116i
\(688\) −2.24451 + 4.60193i −0.0855711 + 0.175447i
\(689\) −1.23164 2.52524i −0.0469219 0.0962042i
\(690\) −2.96485 1.17102i −0.112870 0.0445799i
\(691\) −0.307732 + 2.92788i −0.0117067 + 0.111382i −0.998815 0.0486736i \(-0.984501\pi\)
0.987108 + 0.160055i \(0.0511673\pi\)
\(692\) −21.1058 4.48618i −0.802322 0.170539i
\(693\) −19.7553 + 16.5767i −0.750443 + 0.629697i
\(694\) −20.6583 12.9087i −0.784178 0.490009i
\(695\) 26.1979 + 30.7307i 0.993743 + 1.16568i
\(696\) −28.1654 + 5.98674i −1.06761 + 0.226927i
\(697\) 6.38268 8.16946i 0.241761 0.309440i
\(698\) 12.9868 + 26.6270i 0.491559 + 1.00785i
\(699\) 4.26918 + 24.2117i 0.161475 + 0.915771i
\(700\) 17.2611 + 5.97883i 0.652410 + 0.225979i
\(701\) 24.8144 + 20.8217i 0.937226 + 0.786426i 0.977100 0.212779i \(-0.0682514\pi\)
−0.0398747 + 0.999205i \(0.512696\pi\)
\(702\) −11.5668 + 8.40374i −0.436559 + 0.317179i
\(703\) −14.4782 + 19.8593i −0.546056 + 0.749008i
\(704\) −10.4934 + 32.2953i −0.395484 + 1.21717i
\(705\) 13.5510 + 12.0110i 0.510361 + 0.452362i
\(706\) −0.311657 0.398903i −0.0117294 0.0150129i
\(707\) −1.53905 8.72841i −0.0578821 0.328266i
\(708\) −8.85376 + 1.24431i −0.332744 + 0.0467642i
\(709\) −0.569812 0.844782i −0.0213998 0.0317264i 0.818186 0.574954i \(-0.194980\pi\)
−0.839586 + 0.543227i \(0.817202\pi\)
\(710\) 0.658816 4.96908i 0.0247249 0.186486i
\(711\) 0.638057 + 6.07071i 0.0239290 + 0.227669i
\(712\) 13.2037 0.923294i 0.494830 0.0346019i
\(713\) −9.44315 + 0.660329i −0.353649 + 0.0247295i
\(714\) −0.483596 4.60110i −0.0180981 0.172192i
\(715\) 27.5174 + 13.1560i 1.02909 + 0.492007i
\(716\) 5.56016 + 8.24328i 0.207793 + 0.308066i
\(717\) 33.7116 4.73786i 1.25898 0.176938i
\(718\) −2.45951 13.9486i −0.0917881 0.520556i
\(719\) −0.0798630 0.102220i −0.00297839 0.00381216i 0.786519 0.617566i \(-0.211881\pi\)
−0.789498 + 0.613754i \(0.789659\pi\)
\(720\) 0.544908 + 2.46860i 0.0203075 + 0.0919995i
\(721\) −3.82629 + 11.7761i −0.142499 + 0.438566i
\(722\) −18.4319 1.34935i −0.685964 0.0502177i
\(723\) −11.6781 + 8.48467i −0.434315 + 0.315548i
\(724\) 1.06951 + 0.897429i 0.0397482 + 0.0333527i
\(725\) 36.7434 + 12.7270i 1.36462 + 0.472669i
\(726\) −3.25303 18.4488i −0.120731 0.684700i
\(727\) 17.6100 + 36.1058i 0.653118 + 1.33909i 0.926176 + 0.377092i \(0.123076\pi\)
−0.273058 + 0.961998i \(0.588035\pi\)
\(728\) 16.8146 21.5217i 0.623191 0.797648i
\(729\) −23.9052 + 5.08122i −0.885380 + 0.188193i
\(730\) −14.6149 3.52286i −0.540920 0.130387i
\(731\) 6.11461 + 3.82083i 0.226157 + 0.141319i
\(732\) 4.90912 4.11924i 0.181446 0.152251i
\(733\) −7.79871 1.65767i −0.288052 0.0612274i 0.0616195 0.998100i \(-0.480373\pi\)
−0.349672 + 0.936872i \(0.613707\pi\)
\(734\) −0.452716 + 4.30730i −0.0167100 + 0.158985i
\(735\) −0.866614 + 13.9595i −0.0319655 + 0.514902i
\(736\) −2.67039 5.47511i −0.0984319 0.201815i
\(737\) 11.7606 24.1129i 0.433208 0.888209i
\(738\) −12.7375 3.65243i −0.468875 0.134448i
\(739\) −16.5072 1.15430i −0.607227 0.0424614i −0.237166 0.971469i \(-0.576219\pi\)
−0.370060 + 0.929008i \(0.620663\pi\)
\(740\) −4.44662 + 12.5205i −0.163461 + 0.460261i
\(741\) −8.45060 11.6713i −0.310440 0.428754i
\(742\) −1.10389 3.39741i −0.0405249 0.124723i
\(743\) 23.3459 + 19.5895i 0.856477 + 0.718670i 0.961206 0.275831i \(-0.0889530\pi\)
−0.104729 + 0.994501i \(0.533397\pi\)
\(744\) −18.3513 23.4886i −0.672792 0.861134i
\(745\) 37.5408 + 38.2718i 1.37539 + 1.40217i
\(746\) −12.4487 6.61909i −0.455779 0.242342i
\(747\) 5.61638 7.18864i 0.205493 0.263018i
\(748\) 5.45028 + 2.42662i 0.199282 + 0.0887261i
\(749\) −26.2241 + 45.4215i −0.958208 + 1.65966i
\(750\) −4.33635 + 12.8428i −0.158341 + 0.468952i
\(751\) 11.2893 9.47286i 0.411953 0.345669i −0.413139 0.910668i \(-0.635568\pi\)
0.825092 + 0.564998i \(0.191123\pi\)
\(752\) −0.530833 5.05054i −0.0193575 0.184174i
\(753\) −26.2679 + 5.58342i −0.957256 + 0.203471i
\(754\) 12.3518 15.8096i 0.449827 0.575752i
\(755\) 3.58621 + 7.88834i 0.130516 + 0.287086i
\(756\) 17.8779 9.50586i 0.650214 0.345725i
\(757\) 21.4164 7.79494i 0.778393 0.283312i 0.0778907 0.996962i \(-0.475181\pi\)
0.700502 + 0.713650i \(0.252959\pi\)
\(758\) 4.67410 11.5688i 0.169771 0.420198i
\(759\) 6.09820 + 4.43060i 0.221351 + 0.160821i
\(760\) −28.2822 + 6.19450i −1.02590 + 0.224698i
\(761\) 39.2499 28.5167i 1.42281 1.03373i 0.431509 0.902109i \(-0.357981\pi\)
0.991300 0.131623i \(-0.0420187\pi\)
\(762\) 3.18977 + 12.7935i 0.115553 + 0.463459i
\(763\) 28.8040 + 8.25941i 1.04277 + 0.299011i
\(764\) −14.9540 14.4409i −0.541016 0.522453i
\(765\) 3.53749 0.399769i 0.127898 0.0144537i
\(766\) 12.1527 + 18.0171i 0.439095 + 0.650985i
\(767\) 12.0790 13.4150i 0.436146 0.484389i
\(768\) 10.6175 18.3900i 0.383126 0.663593i
\(769\) 31.0716 + 19.4157i 1.12047 + 0.700148i 0.958058 0.286575i \(-0.0925166\pi\)
0.162413 + 0.986723i \(0.448072\pi\)
\(770\) 32.3184 + 21.4336i 1.16467 + 0.772414i
\(771\) 11.4625 + 12.7304i 0.412811 + 0.458474i
\(772\) −2.83469 + 0.602531i −0.102023 + 0.0216856i