Properties

Label 390.2.s.c.77.7
Level $390$
Weight $2$
Character 390.77
Analytic conductor $3.114$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.s (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.7
Character \(\chi\) \(=\) 390.77
Dual form 390.2.s.c.233.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(-1.72725 + 0.128848i) q^{3} +1.00000i q^{4} +(1.56114 + 1.60089i) q^{5} +(-1.31246 - 1.13024i) q^{6} +(0.236462 - 0.236462i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.96680 - 0.445105i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(-1.72725 + 0.128848i) q^{3} +1.00000i q^{4} +(1.56114 + 1.60089i) q^{5} +(-1.31246 - 1.13024i) q^{6} +(0.236462 - 0.236462i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.96680 - 0.445105i) q^{9} +(-0.0281051 + 2.23589i) q^{10} +2.01226 q^{11} +(-0.128848 - 1.72725i) q^{12} +(-0.965701 + 3.47382i) q^{13} +0.334408 q^{14} +(-2.90275 - 2.56399i) q^{15} -1.00000 q^{16} +(-2.69197 + 2.69197i) q^{17} +(2.41258 + 1.78311i) q^{18} -8.01600 q^{19} +(-1.60089 + 1.56114i) q^{20} +(-0.377962 + 0.438897i) q^{21} +(1.42288 + 1.42288i) q^{22} +(6.23031 + 6.23031i) q^{23} +(1.13024 - 1.31246i) q^{24} +(-0.125680 + 4.99842i) q^{25} +(-3.13922 + 1.77351i) q^{26} +(-5.06705 + 1.15107i) q^{27} +(0.236462 + 0.236462i) q^{28} +4.55580 q^{29} +(-0.239545 - 3.86557i) q^{30} -7.05293i q^{31} +(-0.707107 - 0.707107i) q^{32} +(-3.47567 + 0.259274i) q^{33} -3.80703 q^{34} +(0.747699 + 0.00939855i) q^{35} +(0.445105 + 2.96680i) q^{36} +(1.19742 - 1.19742i) q^{37} +(-5.66817 - 5.66817i) q^{38} +(1.22042 - 6.12459i) q^{39} +(-2.23589 - 0.0281051i) q^{40} +7.90181 q^{41} +(-0.577606 + 0.0430876i) q^{42} +(2.76440 - 2.76440i) q^{43} +2.01226i q^{44} +(5.34415 + 4.05464i) q^{45} +8.81099i q^{46} +(-2.04369 - 2.04369i) q^{47} +(1.72725 - 0.128848i) q^{48} +6.88817i q^{49} +(-3.62329 + 3.44555i) q^{50} +(4.30286 - 4.99657i) q^{51} +(-3.47382 - 0.965701i) q^{52} +(-6.83014 - 6.83014i) q^{53} +(-4.39688 - 2.76902i) q^{54} +(3.14141 + 3.22139i) q^{55} +0.334408i q^{56} +(13.8457 - 1.03284i) q^{57} +(3.22144 + 3.22144i) q^{58} -12.3272i q^{59} +(2.56399 - 2.90275i) q^{60} +5.48892 q^{61} +(4.98717 - 4.98717i) q^{62} +(0.596284 - 0.806784i) q^{63} -1.00000i q^{64} +(-7.06879 + 3.87714i) q^{65} +(-2.64101 - 2.27434i) q^{66} +(-4.26617 + 4.26617i) q^{67} +(-2.69197 - 2.69197i) q^{68} +(-11.5641 - 9.95855i) q^{69} +(0.522057 + 0.535349i) q^{70} +9.88936 q^{71} +(-1.78311 + 2.41258i) q^{72} +(2.59128 + 2.59128i) q^{73} +1.69340 q^{74} +(-0.426954 - 8.64972i) q^{75} -8.01600i q^{76} +(0.475822 - 0.475822i) q^{77} +(5.19370 - 3.46777i) q^{78} -10.6675i q^{79} +(-1.56114 - 1.60089i) q^{80} +(8.60376 - 2.64107i) q^{81} +(5.58743 + 5.58743i) q^{82} +(2.98429 - 2.98429i) q^{83} +(-0.438897 - 0.377962i) q^{84} +(-8.51210 - 0.106997i) q^{85} +3.90946 q^{86} +(-7.86902 + 0.587005i) q^{87} +(-1.42288 + 1.42288i) q^{88} -1.02859i q^{89} +(0.911824 + 6.64594i) q^{90} +(0.593074 + 1.04978i) q^{91} +(-6.23031 + 6.23031i) q^{92} +(0.908753 + 12.1822i) q^{93} -2.89021i q^{94} +(-12.5141 - 12.8327i) q^{95} +(1.31246 + 1.13024i) q^{96} +(10.9826 - 10.9826i) q^{97} +(-4.87067 + 4.87067i) q^{98} +(5.96995 - 0.895665i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 4 q^{3} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 4 q^{3} + 12 q^{9} + 4 q^{10} - 8 q^{12} - 8 q^{13} + 16 q^{14} - 24 q^{16} - 52 q^{17} + 16 q^{22} + 16 q^{23} + 16 q^{25} - 56 q^{27} + 80 q^{29} + 8 q^{30} - 20 q^{35} + 16 q^{38} + 32 q^{39} - 48 q^{42} + 28 q^{43} - 4 q^{48} - 20 q^{51} - 8 q^{52} - 72 q^{53} + 24 q^{55} - 64 q^{61} + 32 q^{62} + 12 q^{65} + 8 q^{66} - 52 q^{68} + 16 q^{69} + 120 q^{74} + 24 q^{75} - 32 q^{77} - 64 q^{78} + 12 q^{81} + 32 q^{82} - 16 q^{88} - 44 q^{90} + 64 q^{91} - 16 q^{92} - 96 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) −1.72725 + 0.128848i −0.997229 + 0.0743902i
\(4\) 1.00000i 0.500000i
\(5\) 1.56114 + 1.60089i 0.698163 + 0.715939i
\(6\) −1.31246 1.13024i −0.535810 0.461419i
\(7\) 0.236462 0.236462i 0.0893742 0.0893742i −0.661006 0.750380i \(-0.729870\pi\)
0.750380 + 0.661006i \(0.229870\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 2.96680 0.445105i 0.988932 0.148368i
\(10\) −0.0281051 + 2.23589i −0.00888760 + 0.707051i
\(11\) 2.01226 0.606718 0.303359 0.952876i \(-0.401892\pi\)
0.303359 + 0.952876i \(0.401892\pi\)
\(12\) −0.128848 1.72725i −0.0371951 0.498615i
\(13\) −0.965701 + 3.47382i −0.267837 + 0.963464i
\(14\) 0.334408 0.0893742
\(15\) −2.90275 2.56399i −0.749488 0.662018i
\(16\) −1.00000 −0.250000
\(17\) −2.69197 + 2.69197i −0.652900 + 0.652900i −0.953690 0.300791i \(-0.902749\pi\)
0.300791 + 0.953690i \(0.402749\pi\)
\(18\) 2.41258 + 1.78311i 0.568650 + 0.420282i
\(19\) −8.01600 −1.83900 −0.919499 0.393093i \(-0.871405\pi\)
−0.919499 + 0.393093i \(0.871405\pi\)
\(20\) −1.60089 + 1.56114i −0.357969 + 0.349082i
\(21\) −0.377962 + 0.438897i −0.0824780 + 0.0957751i
\(22\) 1.42288 + 1.42288i 0.303359 + 0.303359i
\(23\) 6.23031 + 6.23031i 1.29911 + 1.29911i 0.928981 + 0.370128i \(0.120686\pi\)
0.370128 + 0.928981i \(0.379314\pi\)
\(24\) 1.13024 1.31246i 0.230710 0.267905i
\(25\) −0.125680 + 4.99842i −0.0251360 + 0.999684i
\(26\) −3.13922 + 1.77351i −0.615651 + 0.347813i
\(27\) −5.06705 + 1.15107i −0.975155 + 0.221524i
\(28\) 0.236462 + 0.236462i 0.0446871 + 0.0446871i
\(29\) 4.55580 0.845991 0.422996 0.906132i \(-0.360979\pi\)
0.422996 + 0.906132i \(0.360979\pi\)
\(30\) −0.239545 3.86557i −0.0437347 0.705753i
\(31\) 7.05293i 1.26674i −0.773848 0.633372i \(-0.781670\pi\)
0.773848 0.633372i \(-0.218330\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −3.47567 + 0.259274i −0.605037 + 0.0451339i
\(34\) −3.80703 −0.652900
\(35\) 0.747699 + 0.00939855i 0.126384 + 0.00158864i
\(36\) 0.445105 + 2.96680i 0.0741841 + 0.494466i
\(37\) 1.19742 1.19742i 0.196854 0.196854i −0.601796 0.798650i \(-0.705548\pi\)
0.798650 + 0.601796i \(0.205548\pi\)
\(38\) −5.66817 5.66817i −0.919499 0.919499i
\(39\) 1.22042 6.12459i 0.195423 0.980719i
\(40\) −2.23589 0.0281051i −0.353525 0.00444380i
\(41\) 7.90181 1.23406 0.617028 0.786941i \(-0.288337\pi\)
0.617028 + 0.786941i \(0.288337\pi\)
\(42\) −0.577606 + 0.0430876i −0.0891265 + 0.00664857i
\(43\) 2.76440 2.76440i 0.421568 0.421568i −0.464176 0.885743i \(-0.653649\pi\)
0.885743 + 0.464176i \(0.153649\pi\)
\(44\) 2.01226i 0.303359i
\(45\) 5.34415 + 4.05464i 0.796659 + 0.604429i
\(46\) 8.81099i 1.29911i
\(47\) −2.04369 2.04369i −0.298102 0.298102i 0.542168 0.840270i \(-0.317604\pi\)
−0.840270 + 0.542168i \(0.817604\pi\)
\(48\) 1.72725 0.128848i 0.249307 0.0185976i
\(49\) 6.88817i 0.984025i
\(50\) −3.62329 + 3.44555i −0.512410 + 0.487274i
\(51\) 4.30286 4.99657i 0.602521 0.699660i
\(52\) −3.47382 0.965701i −0.481732 0.133919i
\(53\) −6.83014 6.83014i −0.938192 0.938192i 0.0600063 0.998198i \(-0.480888\pi\)
−0.998198 + 0.0600063i \(0.980888\pi\)
\(54\) −4.39688 2.76902i −0.598339 0.376815i
\(55\) 3.14141 + 3.22139i 0.423588 + 0.434373i
\(56\) 0.334408i 0.0446871i
\(57\) 13.8457 1.03284i 1.83390 0.136803i
\(58\) 3.22144 + 3.22144i 0.422996 + 0.422996i
\(59\) 12.3272i 1.60487i −0.596742 0.802433i \(-0.703539\pi\)
0.596742 0.802433i \(-0.296461\pi\)
\(60\) 2.56399 2.90275i 0.331009 0.374744i
\(61\) 5.48892 0.702784 0.351392 0.936228i \(-0.385708\pi\)
0.351392 + 0.936228i \(0.385708\pi\)
\(62\) 4.98717 4.98717i 0.633372 0.633372i
\(63\) 0.596284 0.806784i 0.0751247 0.101645i
\(64\) 1.00000i 0.125000i
\(65\) −7.06879 + 3.87714i −0.876775 + 0.480900i
\(66\) −2.64101 2.27434i −0.325085 0.279951i
\(67\) −4.26617 + 4.26617i −0.521196 + 0.521196i −0.917933 0.396736i \(-0.870143\pi\)
0.396736 + 0.917933i \(0.370143\pi\)
\(68\) −2.69197 2.69197i −0.326450 0.326450i
\(69\) −11.5641 9.95855i −1.39215 1.19887i
\(70\) 0.522057 + 0.535349i 0.0623978 + 0.0639864i
\(71\) 9.88936 1.17365 0.586826 0.809713i \(-0.300377\pi\)
0.586826 + 0.809713i \(0.300377\pi\)
\(72\) −1.78311 + 2.41258i −0.210141 + 0.284325i
\(73\) 2.59128 + 2.59128i 0.303286 + 0.303286i 0.842298 0.539012i \(-0.181202\pi\)
−0.539012 + 0.842298i \(0.681202\pi\)
\(74\) 1.69340 0.196854
\(75\) −0.426954 8.64972i −0.0493004 0.998784i
\(76\) 8.01600i 0.919499i
\(77\) 0.475822 0.475822i 0.0542249 0.0542249i
\(78\) 5.19370 3.46777i 0.588071 0.392648i
\(79\) 10.6675i 1.20019i −0.799929 0.600095i \(-0.795129\pi\)
0.799929 0.600095i \(-0.204871\pi\)
\(80\) −1.56114 1.60089i −0.174541 0.178985i
\(81\) 8.60376 2.64107i 0.955974 0.293452i
\(82\) 5.58743 + 5.58743i 0.617028 + 0.617028i
\(83\) 2.98429 2.98429i 0.327568 0.327568i −0.524093 0.851661i \(-0.675596\pi\)
0.851661 + 0.524093i \(0.175596\pi\)
\(84\) −0.438897 0.377962i −0.0478876 0.0412390i
\(85\) −8.51210 0.106997i −0.923267 0.0116054i
\(86\) 3.90946 0.421568
\(87\) −7.86902 + 0.587005i −0.843647 + 0.0629335i
\(88\) −1.42288 + 1.42288i −0.151679 + 0.151679i
\(89\) 1.02859i 0.109030i −0.998513 0.0545151i \(-0.982639\pi\)
0.998513 0.0545151i \(-0.0173613\pi\)
\(90\) 0.911824 + 6.64594i 0.0961147 + 0.700544i
\(91\) 0.593074 + 1.04978i 0.0621711 + 0.110047i
\(92\) −6.23031 + 6.23031i −0.649554 + 0.649554i
\(93\) 0.908753 + 12.1822i 0.0942333 + 1.26323i
\(94\) 2.89021i 0.298102i
\(95\) −12.5141 12.8327i −1.28392 1.31661i
\(96\) 1.31246 + 1.13024i 0.133952 + 0.115355i
\(97\) 10.9826 10.9826i 1.11512 1.11512i 0.122671 0.992447i \(-0.460854\pi\)
0.992447 0.122671i \(-0.0391461\pi\)
\(98\) −4.87067 + 4.87067i −0.492012 + 0.492012i
\(99\) 5.96995 0.895665i 0.600003 0.0900177i
\(100\) −4.99842 0.125680i −0.499842 0.0125680i
\(101\) 3.49411i 0.347677i −0.984774 0.173838i \(-0.944383\pi\)
0.984774 0.173838i \(-0.0556170\pi\)
\(102\) 6.57569 0.490527i 0.651091 0.0485694i
\(103\) −2.58254 + 2.58254i −0.254466 + 0.254466i −0.822799 0.568333i \(-0.807589\pi\)
0.568333 + 0.822799i \(0.307589\pi\)
\(104\) −1.77351 3.13922i −0.173907 0.307825i
\(105\) −1.29268 + 0.0801056i −0.126152 + 0.00781751i
\(106\) 9.65927i 0.938192i
\(107\) 0.993509 0.993509i 0.0960462 0.0960462i −0.657451 0.753497i \(-0.728365\pi\)
0.753497 + 0.657451i \(0.228365\pi\)
\(108\) −1.15107 5.06705i −0.110762 0.487577i
\(109\) 5.37932 0.515246 0.257623 0.966246i \(-0.417061\pi\)
0.257623 + 0.966246i \(0.417061\pi\)
\(110\) −0.0565546 + 4.49919i −0.00539227 + 0.428980i
\(111\) −1.91395 + 2.22252i −0.181664 + 0.210953i
\(112\) −0.236462 + 0.236462i −0.0223435 + 0.0223435i
\(113\) 7.55286 + 7.55286i 0.710513 + 0.710513i 0.966643 0.256129i \(-0.0824473\pi\)
−0.256129 + 0.966643i \(0.582447\pi\)
\(114\) 10.5207 + 9.06002i 0.985352 + 0.848549i
\(115\) −0.247633 + 19.7004i −0.0230919 + 1.83707i
\(116\) 4.55580i 0.422996i
\(117\) −1.31883 + 10.7360i −0.121926 + 0.992539i
\(118\) 8.71665 8.71665i 0.802433 0.802433i
\(119\) 1.27310i 0.116705i
\(120\) 3.86557 0.239545i 0.352876 0.0218674i
\(121\) −6.95083 −0.631893
\(122\) 3.88125 + 3.88125i 0.351392 + 0.351392i
\(123\) −13.6484 + 1.01813i −1.23064 + 0.0918017i
\(124\) 7.05293 0.633372
\(125\) −8.19811 + 7.60204i −0.733261 + 0.679947i
\(126\) 0.992119 0.148846i 0.0883850 0.0132603i
\(127\) 11.4470 + 11.4470i 1.01575 + 1.01575i 0.999874 + 0.0158806i \(0.00505516\pi\)
0.0158806 + 0.999874i \(0.494945\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) −4.41864 + 5.13101i −0.389039 + 0.451760i
\(130\) −7.73994 2.25684i −0.678838 0.197938i
\(131\) 13.1727i 1.15091i 0.817835 + 0.575453i \(0.195174\pi\)
−0.817835 + 0.575453i \(0.804826\pi\)
\(132\) −0.259274 3.47567i −0.0225669 0.302518i
\(133\) −1.89548 + 1.89548i −0.164359 + 0.164359i
\(134\) −6.03328 −0.521196
\(135\) −9.75312 6.31479i −0.839415 0.543491i
\(136\) 3.80703i 0.326450i
\(137\) −4.54541 4.54541i −0.388340 0.388340i 0.485755 0.874095i \(-0.338545\pi\)
−0.874095 + 0.485755i \(0.838545\pi\)
\(138\) −1.13528 15.2188i −0.0966410 1.29551i
\(139\) 0.709569i 0.0601848i 0.999547 + 0.0300924i \(0.00958016\pi\)
−0.999547 + 0.0300924i \(0.990420\pi\)
\(140\) −0.00939855 + 0.747699i −0.000794322 + 0.0631921i
\(141\) 3.79329 + 3.26664i 0.319452 + 0.275100i
\(142\) 6.99284 + 6.99284i 0.586826 + 0.586826i
\(143\) −1.94324 + 6.99021i −0.162502 + 0.584551i
\(144\) −2.96680 + 0.445105i −0.247233 + 0.0370921i
\(145\) 7.11225 + 7.29333i 0.590640 + 0.605678i
\(146\) 3.66462i 0.303286i
\(147\) −0.887525 11.8976i −0.0732018 0.981298i
\(148\) 1.19742 + 1.19742i 0.0984270 + 0.0984270i
\(149\) 3.81004i 0.312130i −0.987747 0.156065i \(-0.950119\pi\)
0.987747 0.156065i \(-0.0498810\pi\)
\(150\) 5.81438 6.41818i 0.474742 0.524042i
\(151\) 3.85812i 0.313969i 0.987601 + 0.156985i \(0.0501773\pi\)
−0.987601 + 0.156985i \(0.949823\pi\)
\(152\) 5.66817 5.66817i 0.459749 0.459749i
\(153\) −6.78833 + 9.18475i −0.548804 + 0.742543i
\(154\) 0.672913 0.0542249
\(155\) 11.2909 11.0106i 0.906910 0.884394i
\(156\) 6.12459 + 1.22042i 0.490360 + 0.0977115i
\(157\) −11.1016 11.1016i −0.886006 0.886006i 0.108131 0.994137i \(-0.465513\pi\)
−0.994137 + 0.108131i \(0.965513\pi\)
\(158\) 7.54308 7.54308i 0.600095 0.600095i
\(159\) 12.6774 + 10.9173i 1.00538 + 0.865800i
\(160\) 0.0281051 2.23589i 0.00222190 0.176763i
\(161\) 2.94646 0.232214
\(162\) 7.95130 + 4.21626i 0.624713 + 0.331261i
\(163\) −7.73462 7.73462i −0.605823 0.605823i 0.336029 0.941852i \(-0.390916\pi\)
−0.941852 + 0.336029i \(0.890916\pi\)
\(164\) 7.90181i 0.617028i
\(165\) −5.84108 5.15939i −0.454728 0.401658i
\(166\) 4.22042 0.327568
\(167\) −9.30685 9.30685i −0.720185 0.720185i 0.248457 0.968643i \(-0.420076\pi\)
−0.968643 + 0.248457i \(0.920076\pi\)
\(168\) −0.0430876 0.577606i −0.00332428 0.0445633i
\(169\) −11.1348 6.70934i −0.856526 0.516103i
\(170\) −5.94330 6.09462i −0.455831 0.467436i
\(171\) −23.7818 + 3.56796i −1.81864 + 0.272849i
\(172\) 2.76440 + 2.76440i 0.210784 + 0.210784i
\(173\) 0.456884 + 0.456884i 0.0347362 + 0.0347362i 0.724262 0.689525i \(-0.242181\pi\)
−0.689525 + 0.724262i \(0.742181\pi\)
\(174\) −5.97931 5.14916i −0.453290 0.390357i
\(175\) 1.15222 + 1.21165i 0.0870994 + 0.0915924i
\(176\) −2.01226 −0.151679
\(177\) 1.58833 + 21.2922i 0.119386 + 1.60042i
\(178\) 0.727322 0.727322i 0.0545151 0.0545151i
\(179\) 12.2071 0.912401 0.456201 0.889877i \(-0.349210\pi\)
0.456201 + 0.889877i \(0.349210\pi\)
\(180\) −4.05464 + 5.34415i −0.302215 + 0.398329i
\(181\) −6.05221 −0.449857 −0.224929 0.974375i \(-0.572215\pi\)
−0.224929 + 0.974375i \(0.572215\pi\)
\(182\) −0.322938 + 1.16167i −0.0239377 + 0.0861088i
\(183\) −9.48075 + 0.707235i −0.700837 + 0.0522803i
\(184\) −8.81099 −0.649554
\(185\) 3.78626 + 0.0475932i 0.278372 + 0.00349912i
\(186\) −7.97152 + 9.25669i −0.584500 + 0.678733i
\(187\) −5.41694 + 5.41694i −0.396126 + 0.396126i
\(188\) 2.04369 2.04369i 0.149051 0.149051i
\(189\) −0.925980 + 1.47035i −0.0673551 + 0.106952i
\(190\) 0.225290 17.9229i 0.0163443 1.30026i
\(191\) 5.13137i 0.371293i −0.982617 0.185647i \(-0.940562\pi\)
0.982617 0.185647i \(-0.0594379\pi\)
\(192\) 0.128848 + 1.72725i 0.00929878 + 0.124654i
\(193\) −11.6332 11.6332i −0.837377 0.837377i 0.151136 0.988513i \(-0.451707\pi\)
−0.988513 + 0.151136i \(0.951707\pi\)
\(194\) 15.5318 1.11512
\(195\) 11.7100 7.60760i 0.838572 0.544791i
\(196\) −6.88817 −0.492012
\(197\) −5.66495 5.66495i −0.403611 0.403611i 0.475892 0.879504i \(-0.342125\pi\)
−0.879504 + 0.475892i \(0.842125\pi\)
\(198\) 4.85472 + 3.58806i 0.345010 + 0.254993i
\(199\) 9.89963i 0.701766i −0.936419 0.350883i \(-0.885882\pi\)
0.936419 0.350883i \(-0.114118\pi\)
\(200\) −3.44555 3.62329i −0.243637 0.256205i
\(201\) 6.81907 7.91844i 0.480980 0.558524i
\(202\) 2.47071 2.47071i 0.173838 0.173838i
\(203\) 1.07727 1.07727i 0.0756098 0.0756098i
\(204\) 4.99657 + 4.30286i 0.349830 + 0.301261i
\(205\) 12.3358 + 12.6499i 0.861573 + 0.883508i
\(206\) −3.65227 −0.254466
\(207\) 21.2572 + 15.7109i 1.47748 + 1.09198i
\(208\) 0.965701 3.47382i 0.0669593 0.240866i
\(209\) −16.1302 −1.11575
\(210\) −0.970703 0.857416i −0.0669848 0.0591673i
\(211\) −23.0541 −1.58711 −0.793555 0.608499i \(-0.791772\pi\)
−0.793555 + 0.608499i \(0.791772\pi\)
\(212\) 6.83014 6.83014i 0.469096 0.469096i
\(213\) −17.0814 + 1.27422i −1.17040 + 0.0873082i
\(214\) 1.40503 0.0960462
\(215\) 8.74112 + 0.109876i 0.596140 + 0.00749345i
\(216\) 2.76902 4.39688i 0.188408 0.299170i
\(217\) −1.66775 1.66775i −0.113214 0.113214i
\(218\) 3.80376 + 3.80376i 0.257623 + 0.257623i
\(219\) −4.80967 4.14191i −0.325007 0.279884i
\(220\) −3.22139 + 3.14141i −0.217186 + 0.211794i
\(221\) −6.75179 11.9511i −0.454175 0.803916i
\(222\) −2.92493 + 0.218191i −0.196308 + 0.0146440i
\(223\) 6.56733 + 6.56733i 0.439781 + 0.439781i 0.891938 0.452157i \(-0.149345\pi\)
−0.452157 + 0.891938i \(0.649345\pi\)
\(224\) −0.334408 −0.0223435
\(225\) 1.85195 + 14.8852i 0.123464 + 0.992349i
\(226\) 10.6814i 0.710513i
\(227\) 3.35070 + 3.35070i 0.222393 + 0.222393i 0.809506 0.587112i \(-0.199735\pi\)
−0.587112 + 0.809506i \(0.699735\pi\)
\(228\) 1.03284 + 13.8457i 0.0684017 + 0.916951i
\(229\) 24.3157 1.60683 0.803415 0.595420i \(-0.203014\pi\)
0.803415 + 0.595420i \(0.203014\pi\)
\(230\) −14.1054 + 13.7552i −0.930082 + 0.906990i
\(231\) −0.760555 + 0.883172i −0.0500409 + 0.0581085i
\(232\) −3.22144 + 3.22144i −0.211498 + 0.211498i
\(233\) 7.59642 + 7.59642i 0.497658 + 0.497658i 0.910708 0.413050i \(-0.135537\pi\)
−0.413050 + 0.910708i \(0.635537\pi\)
\(234\) −8.52402 + 6.65891i −0.557232 + 0.435307i
\(235\) 0.0812295 6.46219i 0.00529883 0.421547i
\(236\) 12.3272 0.802433
\(237\) 1.37449 + 18.4255i 0.0892824 + 1.19686i
\(238\) −0.900217 + 0.900217i −0.0583524 + 0.0583524i
\(239\) 2.60829i 0.168716i 0.996436 + 0.0843581i \(0.0268840\pi\)
−0.996436 + 0.0843581i \(0.973116\pi\)
\(240\) 2.90275 + 2.56399i 0.187372 + 0.165505i
\(241\) 2.43150i 0.156626i 0.996929 + 0.0783132i \(0.0249534\pi\)
−0.996929 + 0.0783132i \(0.975047\pi\)
\(242\) −4.91498 4.91498i −0.315947 0.315947i
\(243\) −14.5206 + 5.67037i −0.931495 + 0.363754i
\(244\) 5.48892i 0.351392i
\(245\) −11.0272 + 10.7534i −0.704501 + 0.687010i
\(246\) −10.3708 8.93096i −0.661219 0.569417i
\(247\) 7.74106 27.8461i 0.492552 1.77181i
\(248\) 4.98717 + 4.98717i 0.316686 + 0.316686i
\(249\) −4.77010 + 5.53914i −0.302293 + 0.351029i
\(250\) −11.1724 0.421487i −0.706604 0.0266572i
\(251\) 28.8733i 1.82247i 0.411891 + 0.911233i \(0.364869\pi\)
−0.411891 + 0.911233i \(0.635131\pi\)
\(252\) 0.806784 + 0.596284i 0.0508226 + 0.0375624i
\(253\) 12.5370 + 12.5370i 0.788193 + 0.788193i
\(254\) 16.1885i 1.01575i
\(255\) 14.7163 0.911954i 0.921572 0.0571088i
\(256\) 1.00000 0.0625000
\(257\) 18.2476 18.2476i 1.13825 1.13825i 0.149490 0.988763i \(-0.452237\pi\)
0.988763 0.149490i \(-0.0477632\pi\)
\(258\) −6.75262 + 0.503725i −0.420400 + 0.0313605i
\(259\) 0.566286i 0.0351873i
\(260\) −3.87714 7.06879i −0.240450 0.438388i
\(261\) 13.5161 2.02781i 0.836628 0.125518i
\(262\) −9.31452 + 9.31452i −0.575453 + 0.575453i
\(263\) 4.49375 + 4.49375i 0.277096 + 0.277096i 0.831949 0.554852i \(-0.187225\pi\)
−0.554852 + 0.831949i \(0.687225\pi\)
\(264\) 2.27434 2.64101i 0.139976 0.162543i
\(265\) 0.271475 21.5971i 0.0166766 1.32670i
\(266\) −2.68061 −0.164359
\(267\) 0.132531 + 1.77663i 0.00811078 + 0.108728i
\(268\) −4.26617 4.26617i −0.260598 0.260598i
\(269\) −15.5655 −0.949047 −0.474523 0.880243i \(-0.657380\pi\)
−0.474523 + 0.880243i \(0.657380\pi\)
\(270\) −2.43126 11.3617i −0.147962 0.691453i
\(271\) 8.80009i 0.534567i −0.963618 0.267284i \(-0.913874\pi\)
0.963618 0.267284i \(-0.0861261\pi\)
\(272\) 2.69197 2.69197i 0.163225 0.163225i
\(273\) −1.15965 1.73681i −0.0701852 0.105117i
\(274\) 6.42817i 0.388340i
\(275\) −0.252900 + 10.0581i −0.0152504 + 0.606526i
\(276\) 9.95855 11.5641i 0.599434 0.696075i
\(277\) 2.25752 + 2.25752i 0.135641 + 0.135641i 0.771667 0.636026i \(-0.219423\pi\)
−0.636026 + 0.771667i \(0.719423\pi\)
\(278\) −0.501741 + 0.501741i −0.0300924 + 0.0300924i
\(279\) −3.13929 20.9246i −0.187944 1.25272i
\(280\) −0.535349 + 0.522057i −0.0319932 + 0.0311989i
\(281\) −0.549953 −0.0328074 −0.0164037 0.999865i \(-0.505222\pi\)
−0.0164037 + 0.999865i \(0.505222\pi\)
\(282\) 0.372397 + 4.99212i 0.0221759 + 0.297276i
\(283\) −11.9721 + 11.9721i −0.711665 + 0.711665i −0.966883 0.255219i \(-0.917852\pi\)
0.255219 + 0.966883i \(0.417852\pi\)
\(284\) 9.88936i 0.586826i
\(285\) 23.2685 + 20.5529i 1.37831 + 1.21745i
\(286\) −6.31690 + 3.56875i −0.373526 + 0.211025i
\(287\) 1.86848 1.86848i 0.110293 0.110293i
\(288\) −2.41258 1.78311i −0.142163 0.105070i
\(289\) 2.50655i 0.147444i
\(290\) −0.128041 + 10.1863i −0.00751883 + 0.598159i
\(291\) −17.5547 + 20.3849i −1.02908 + 1.19498i
\(292\) −2.59128 + 2.59128i −0.151643 + 0.151643i
\(293\) 8.68980 8.68980i 0.507664 0.507664i −0.406145 0.913809i \(-0.633127\pi\)
0.913809 + 0.406145i \(0.133127\pi\)
\(294\) 7.78530 9.04045i 0.454048 0.527250i
\(295\) 19.7345 19.2445i 1.14899 1.12046i
\(296\) 1.69340i 0.0984270i
\(297\) −10.1962 + 2.31625i −0.591644 + 0.134403i
\(298\) 2.69410 2.69410i 0.156065 0.156065i
\(299\) −27.6596 + 15.6263i −1.59959 + 0.903695i
\(300\) 8.64972 0.426954i 0.499392 0.0246502i
\(301\) 1.30735i 0.0753545i
\(302\) −2.72810 + 2.72810i −0.156985 + 0.156985i
\(303\) 0.450208 + 6.03520i 0.0258638 + 0.346713i
\(304\) 8.01600 0.459749
\(305\) 8.56898 + 8.78714i 0.490658 + 0.503150i
\(306\) −11.2947 + 1.69453i −0.645674 + 0.0968696i
\(307\) −14.0154 + 14.0154i −0.799902 + 0.799902i −0.983080 0.183178i \(-0.941362\pi\)
0.183178 + 0.983080i \(0.441362\pi\)
\(308\) 0.475822 + 0.475822i 0.0271125 + 0.0271125i
\(309\) 4.12795 4.79346i 0.234831 0.272690i
\(310\) 15.7696 + 0.198223i 0.895652 + 0.0112583i
\(311\) 8.75515i 0.496459i 0.968701 + 0.248229i \(0.0798487\pi\)
−0.968701 + 0.248229i \(0.920151\pi\)
\(312\) 3.46777 + 5.19370i 0.196324 + 0.294035i
\(313\) 19.2874 19.2874i 1.09019 1.09019i 0.0946807 0.995508i \(-0.469817\pi\)
0.995508 0.0946807i \(-0.0301830\pi\)
\(314\) 15.7001i 0.886006i
\(315\) 2.22245 0.304921i 0.125221 0.0171803i
\(316\) 10.6675 0.600095
\(317\) 5.00531 + 5.00531i 0.281126 + 0.281126i 0.833558 0.552432i \(-0.186300\pi\)
−0.552432 + 0.833558i \(0.686300\pi\)
\(318\) 1.24458 + 16.6840i 0.0697923 + 0.935592i
\(319\) 9.16744 0.513278
\(320\) 1.60089 1.56114i 0.0894923 0.0872704i
\(321\) −1.58803 + 1.84405i −0.0886351 + 0.102925i
\(322\) 2.08346 + 2.08346i 0.116107 + 0.116107i
\(323\) 21.5789 21.5789i 1.20068 1.20068i
\(324\) 2.64107 + 8.60376i 0.146726 + 0.477987i
\(325\) −17.2422 5.26357i −0.956427 0.291970i
\(326\) 10.9384i 0.605823i
\(327\) −9.29145 + 0.693113i −0.513818 + 0.0383293i
\(328\) −5.58743 + 5.58743i −0.308514 + 0.308514i
\(329\) −0.966508 −0.0532853
\(330\) −0.482026 7.77851i −0.0265346 0.428193i
\(331\) 20.7254i 1.13917i −0.821933 0.569584i \(-0.807104\pi\)
0.821933 0.569584i \(-0.192896\pi\)
\(332\) 2.98429 + 2.98429i 0.163784 + 0.163784i
\(333\) 3.01951 4.08546i 0.165468 0.223882i
\(334\) 13.1619i 0.720185i
\(335\) −13.4898 0.169566i −0.737025 0.00926437i
\(336\) 0.377962 0.438897i 0.0206195 0.0239438i
\(337\) −12.8983 12.8983i −0.702616 0.702616i 0.262355 0.964971i \(-0.415501\pi\)
−0.964971 + 0.262355i \(0.915501\pi\)
\(338\) −3.12930 12.6177i −0.170211 0.686315i
\(339\) −14.0189 12.0725i −0.761400 0.655689i
\(340\) 0.106997 8.51210i 0.00580271 0.461633i
\(341\) 14.1923i 0.768556i
\(342\) −19.3392 14.2934i −1.04575 0.772897i
\(343\) 3.28402 + 3.28402i 0.177321 + 0.177321i
\(344\) 3.90946i 0.210784i
\(345\) −2.11063 34.0595i −0.113632 1.83370i
\(346\) 0.646131i 0.0347362i
\(347\) −4.80078 + 4.80078i −0.257719 + 0.257719i −0.824126 0.566407i \(-0.808333\pi\)
0.566407 + 0.824126i \(0.308333\pi\)
\(348\) −0.587005 7.86902i −0.0314667 0.421824i
\(349\) −2.35848 −0.126246 −0.0631232 0.998006i \(-0.520106\pi\)
−0.0631232 + 0.998006i \(0.520106\pi\)
\(350\) −0.0420283 + 1.67151i −0.00224651 + 0.0893459i
\(351\) 0.894642 18.7136i 0.0477524 0.998859i
\(352\) −1.42288 1.42288i −0.0758397 0.0758397i
\(353\) 0.663250 0.663250i 0.0353012 0.0353012i −0.689236 0.724537i \(-0.742054\pi\)
0.724537 + 0.689236i \(0.242054\pi\)
\(354\) −13.9327 + 16.1790i −0.740516 + 0.859903i
\(355\) 15.4387 + 15.8318i 0.819400 + 0.840262i
\(356\) 1.02859 0.0545151
\(357\) −0.164036 2.19896i −0.00868169 0.116381i
\(358\) 8.63172 + 8.63172i 0.456201 + 0.456201i
\(359\) 25.4249i 1.34188i 0.741513 + 0.670939i \(0.234109\pi\)
−0.741513 + 0.670939i \(0.765891\pi\)
\(360\) −6.64594 + 0.911824i −0.350272 + 0.0480573i
\(361\) 45.2563 2.38191
\(362\) −4.27956 4.27956i −0.224929 0.224929i
\(363\) 12.0058 0.895598i 0.630143 0.0470067i
\(364\) −1.04978 + 0.593074i −0.0550233 + 0.0310855i
\(365\) −0.102994 + 8.19369i −0.00539098 + 0.428878i
\(366\) −7.20399 6.20381i −0.376559 0.324278i
\(367\) −16.7964 16.7964i −0.876763 0.876763i 0.116435 0.993198i \(-0.462853\pi\)
−0.993198 + 0.116435i \(0.962853\pi\)
\(368\) −6.23031 6.23031i −0.324777 0.324777i
\(369\) 23.4431 3.51713i 1.22040 0.183095i
\(370\) 2.64364 + 2.71094i 0.137436 + 0.140935i
\(371\) −3.23013 −0.167700
\(372\) −12.1822 + 0.908753i −0.631617 + 0.0471167i
\(373\) −7.50497 + 7.50497i −0.388593 + 0.388593i −0.874185 0.485593i \(-0.838604\pi\)
0.485593 + 0.874185i \(0.338604\pi\)
\(374\) −7.66071 −0.396126
\(375\) 13.1807 14.1869i 0.680648 0.732610i
\(376\) 2.89021 0.149051
\(377\) −4.39954 + 15.8260i −0.226588 + 0.815082i
\(378\) −1.69446 + 0.384927i −0.0871537 + 0.0197985i
\(379\) 18.8907 0.970350 0.485175 0.874417i \(-0.338756\pi\)
0.485175 + 0.874417i \(0.338756\pi\)
\(380\) 12.8327 12.5141i 0.658304 0.641960i
\(381\) −21.2467 18.2969i −1.08850 0.937378i
\(382\) 3.62843 3.62843i 0.185647 0.185647i
\(383\) −4.58015 + 4.58015i −0.234035 + 0.234035i −0.814375 0.580340i \(-0.802920\pi\)
0.580340 + 0.814375i \(0.302920\pi\)
\(384\) −1.13024 + 1.31246i −0.0576774 + 0.0669762i
\(385\) 1.50456 + 0.0189123i 0.0766796 + 0.000963859i
\(386\) 16.4519i 0.837377i
\(387\) 6.97098 9.43188i 0.354355 0.479449i
\(388\) 10.9826 + 10.9826i 0.557559 + 0.557559i
\(389\) 3.69834 0.187513 0.0937566 0.995595i \(-0.470112\pi\)
0.0937566 + 0.995595i \(0.470112\pi\)
\(390\) 13.6596 + 2.90085i 0.691681 + 0.146890i
\(391\) −33.5437 −1.69638
\(392\) −4.87067 4.87067i −0.246006 0.246006i
\(393\) −1.69727 22.7526i −0.0856162 1.14772i
\(394\) 8.01145i 0.403611i
\(395\) 17.0775 16.6535i 0.859262 0.837929i
\(396\) 0.895665 + 5.96995i 0.0450088 + 0.300001i
\(397\) −9.61297 + 9.61297i −0.482461 + 0.482461i −0.905917 0.423456i \(-0.860817\pi\)
0.423456 + 0.905917i \(0.360817\pi\)
\(398\) 7.00009 7.00009i 0.350883 0.350883i
\(399\) 3.02974 3.51820i 0.151677 0.176130i
\(400\) 0.125680 4.99842i 0.00628399 0.249921i
\(401\) 29.1692 1.45664 0.728321 0.685236i \(-0.240301\pi\)
0.728321 + 0.685236i \(0.240301\pi\)
\(402\) 10.4210 0.777374i 0.519752 0.0387719i
\(403\) 24.5006 + 6.81102i 1.22046 + 0.339281i
\(404\) 3.49411 0.173838
\(405\) 17.6597 + 9.65057i 0.877520 + 0.479541i
\(406\) 1.52349 0.0756098
\(407\) 2.40951 2.40951i 0.119435 0.119435i
\(408\) 0.490527 + 6.57569i 0.0242847 + 0.325545i
\(409\) −34.3528 −1.69864 −0.849318 0.527882i \(-0.822986\pi\)
−0.849318 + 0.527882i \(0.822986\pi\)
\(410\) −0.222081 + 17.6676i −0.0109678 + 0.872540i
\(411\) 8.43672 + 7.26539i 0.416153 + 0.358375i
\(412\) −2.58254 2.58254i −0.127233 0.127233i
\(413\) −2.91491 2.91491i −0.143434 0.143434i
\(414\) 3.92181 + 26.1404i 0.192747 + 1.28473i
\(415\) 9.43641 + 0.118615i 0.463215 + 0.00582260i
\(416\) 3.13922 1.77351i 0.153913 0.0869533i
\(417\) −0.0914263 1.22560i −0.00447717 0.0600181i
\(418\) −11.4058 11.4058i −0.557876 0.557876i
\(419\) 1.04983 0.0512874 0.0256437 0.999671i \(-0.491836\pi\)
0.0256437 + 0.999671i \(0.491836\pi\)
\(420\) −0.0801056 1.29268i −0.00390875 0.0630761i
\(421\) 27.5287i 1.34167i 0.741608 + 0.670834i \(0.234064\pi\)
−0.741608 + 0.670834i \(0.765936\pi\)
\(422\) −16.3017 16.3017i −0.793555 0.793555i
\(423\) −6.97286 5.15355i −0.339032 0.250574i
\(424\) 9.65927 0.469096
\(425\) −13.1173 13.7939i −0.636282 0.669105i
\(426\) −12.9794 11.1774i −0.628854 0.541546i
\(427\) 1.29792 1.29792i 0.0628108 0.0628108i
\(428\) 0.993509 + 0.993509i 0.0480231 + 0.0480231i
\(429\) 2.45579 12.3242i 0.118567 0.595020i
\(430\) 6.10321 + 6.25860i 0.294323 + 0.301817i
\(431\) 22.5766 1.08748 0.543739 0.839254i \(-0.317008\pi\)
0.543739 + 0.839254i \(0.317008\pi\)
\(432\) 5.06705 1.15107i 0.243789 0.0553810i
\(433\) 16.5303 16.5303i 0.794395 0.794395i −0.187810 0.982205i \(-0.560139\pi\)
0.982205 + 0.187810i \(0.0601390\pi\)
\(434\) 2.35855i 0.113214i
\(435\) −13.2244 11.6810i −0.634060 0.560062i
\(436\) 5.37932i 0.257623i
\(437\) −49.9422 49.9422i −2.38906 2.38906i
\(438\) −0.472178 6.32972i −0.0225615 0.302446i
\(439\) 28.1244i 1.34230i 0.741319 + 0.671152i \(0.234200\pi\)
−0.741319 + 0.671152i \(0.765800\pi\)
\(440\) −4.49919 0.0565546i −0.214490 0.00269613i
\(441\) 3.06596 + 20.4358i 0.145998 + 0.973134i
\(442\) 3.67645 13.2249i 0.174871 0.629045i
\(443\) −3.61041 3.61041i −0.171536 0.171536i 0.616118 0.787654i \(-0.288704\pi\)
−0.787654 + 0.616118i \(0.788704\pi\)
\(444\) −2.22252 1.91395i −0.105476 0.0908322i
\(445\) 1.64665 1.60577i 0.0780589 0.0761209i
\(446\) 9.28761i 0.439781i
\(447\) 0.490914 + 6.58089i 0.0232195 + 0.311266i
\(448\) −0.236462 0.236462i −0.0111718 0.0111718i
\(449\) 20.7104i 0.977386i −0.872456 0.488693i \(-0.837474\pi\)
0.872456 0.488693i \(-0.162526\pi\)
\(450\) −9.21592 + 11.8350i −0.434443 + 0.557906i
\(451\) 15.9005 0.748724
\(452\) −7.55286 + 7.55286i −0.355257 + 0.355257i
\(453\) −0.497110 6.66395i −0.0233563 0.313100i
\(454\) 4.73860i 0.222393i
\(455\) −0.754703 + 2.58829i −0.0353810 + 0.121341i
\(456\) −9.06002 + 10.5207i −0.424275 + 0.492676i
\(457\) 11.3293 11.3293i 0.529960 0.529960i −0.390600 0.920560i \(-0.627732\pi\)
0.920560 + 0.390600i \(0.127732\pi\)
\(458\) 17.1938 + 17.1938i 0.803415 + 0.803415i
\(459\) 10.5417 16.7390i 0.492045 0.781311i
\(460\) −19.7004 0.247633i −0.918536 0.0115460i
\(461\) −41.5309 −1.93429 −0.967144 0.254229i \(-0.918178\pi\)
−0.967144 + 0.254229i \(0.918178\pi\)
\(462\) −1.16229 + 0.0867033i −0.0540747 + 0.00403380i
\(463\) −24.1073 24.1073i −1.12036 1.12036i −0.991687 0.128676i \(-0.958927\pi\)
−0.128676 0.991687i \(-0.541073\pi\)
\(464\) −4.55580 −0.211498
\(465\) −18.0836 + 20.4729i −0.838607 + 0.949409i
\(466\) 10.7430i 0.497658i
\(467\) 11.4427 11.4427i 0.529507 0.529507i −0.390918 0.920425i \(-0.627843\pi\)
0.920425 + 0.390918i \(0.127843\pi\)
\(468\) −10.7360 1.31883i −0.496270 0.0609628i
\(469\) 2.01758i 0.0931630i
\(470\) 4.62690 4.51202i 0.213423 0.208124i
\(471\) 20.6057 + 17.7449i 0.949461 + 0.817641i
\(472\) 8.71665 + 8.71665i 0.401216 + 0.401216i
\(473\) 5.56269 5.56269i 0.255773 0.255773i
\(474\) −12.0569 + 14.0007i −0.553791 + 0.643074i
\(475\) 1.00745 40.0673i 0.0462249 1.83842i
\(476\) −1.27310 −0.0583524
\(477\) −23.3038 17.2235i −1.06701 0.788610i
\(478\) −1.84434 + 1.84434i −0.0843581 + 0.0843581i
\(479\) 21.8587i 0.998752i 0.866385 + 0.499376i \(0.166437\pi\)
−0.866385 + 0.499376i \(0.833563\pi\)
\(480\) 0.239545 + 3.86557i 0.0109337 + 0.176438i
\(481\) 3.00326 + 5.31595i 0.136937 + 0.242387i
\(482\) −1.71933 + 1.71933i −0.0783132 + 0.0783132i
\(483\) −5.08928 + 0.379645i −0.231570 + 0.0172744i
\(484\) 6.95083i 0.315947i
\(485\) 34.7274 + 0.436523i 1.57689 + 0.0198215i
\(486\) −14.2771 6.25804i −0.647625 0.283870i
\(487\) −18.2213 + 18.2213i −0.825687 + 0.825687i −0.986917 0.161229i \(-0.948454\pi\)
0.161229 + 0.986917i \(0.448454\pi\)
\(488\) −3.88125 + 3.88125i −0.175696 + 0.175696i
\(489\) 14.3562 + 12.3631i 0.649211 + 0.559077i
\(490\) −15.4012 0.193593i −0.695755 0.00874562i
\(491\) 14.0128i 0.632390i −0.948694 0.316195i \(-0.897595\pi\)
0.948694 0.316195i \(-0.102405\pi\)
\(492\) −1.01813 13.6484i −0.0459009 0.615318i
\(493\) −12.2641 + 12.2641i −0.552347 + 0.552347i
\(494\) 25.1640 14.2164i 1.13218 0.639628i
\(495\) 10.7538 + 8.15896i 0.483347 + 0.366718i
\(496\) 7.05293i 0.316686i
\(497\) 2.33846 2.33846i 0.104894 0.104894i
\(498\) −7.28973 + 0.543792i −0.326661 + 0.0243679i
\(499\) −28.6558 −1.28281 −0.641405 0.767202i \(-0.721648\pi\)
−0.641405 + 0.767202i \(0.721648\pi\)
\(500\) −7.60204 8.19811i −0.339973 0.366631i
\(501\) 17.2744 + 14.8761i 0.771765 + 0.664615i
\(502\) −20.4165 + 20.4165i −0.911233 + 0.911233i
\(503\) −4.41285 4.41285i −0.196759 0.196759i 0.601850 0.798609i \(-0.294431\pi\)
−0.798609 + 0.601850i \(0.794431\pi\)
\(504\) 0.148846 + 0.992119i 0.00663015 + 0.0441925i
\(505\) 5.59367 5.45479i 0.248915 0.242735i
\(506\) 17.7300i 0.788193i
\(507\) 20.0972 + 10.1540i 0.892546 + 0.450956i
\(508\) −11.4470 + 11.4470i −0.507877 + 0.507877i
\(509\) 36.2523i 1.60686i 0.595402 + 0.803428i \(0.296993\pi\)
−0.595402 + 0.803428i \(0.703007\pi\)
\(510\) 11.0509 + 9.76116i 0.489340 + 0.432232i
\(511\) 1.22548 0.0542119
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 40.6175 9.22700i 1.79331 0.407382i
\(514\) 25.8060 1.13825
\(515\) −8.16608 0.102647i −0.359840 0.00452318i
\(516\) −5.13101 4.41864i −0.225880 0.194520i
\(517\) −4.11242 4.11242i −0.180864 0.180864i
\(518\) 0.400425 0.400425i 0.0175937 0.0175937i
\(519\) −0.848022 0.730285i −0.0372240 0.0320559i
\(520\) 2.25684 7.73994i 0.0989688 0.339419i
\(521\) 8.54770i 0.374482i 0.982314 + 0.187241i \(0.0599545\pi\)
−0.982314 + 0.187241i \(0.940046\pi\)
\(522\) 10.9912 + 8.12347i 0.481073 + 0.355555i
\(523\) 0.832709 0.832709i 0.0364118 0.0364118i −0.688666 0.725078i \(-0.741804\pi\)
0.725078 + 0.688666i \(0.241804\pi\)
\(524\) −13.1727 −0.575453
\(525\) −2.14629 1.94437i −0.0936717 0.0848593i
\(526\) 6.35512i 0.277096i
\(527\) 18.9863 + 18.9863i 0.827056 + 0.827056i
\(528\) 3.47567 0.259274i 0.151259 0.0112835i
\(529\) 54.6335i 2.37537i
\(530\) 15.4634 15.0795i 0.671688 0.655011i
\(531\) −5.48690 36.5723i −0.238111 1.58710i
\(532\) −1.89548 1.89548i −0.0821794 0.0821794i
\(533\) −7.63079 + 27.4495i −0.330526 + 1.18897i
\(534\) −1.16255 + 1.34998i −0.0503087 + 0.0584194i
\(535\) 3.14150 + 0.0394886i 0.135819 + 0.00170724i
\(536\) 6.03328i 0.260598i
\(537\) −21.0847 + 1.57286i −0.909873 + 0.0678738i
\(538\) −11.0065 11.0065i −0.474523 0.474523i
\(539\) 13.8608i 0.597025i
\(540\) 6.31479 9.75312i 0.271745 0.419707i
\(541\) 13.5211i 0.581316i 0.956827 + 0.290658i \(0.0938742\pi\)
−0.956827 + 0.290658i \(0.906126\pi\)
\(542\) 6.22260 6.22260i 0.267284 0.267284i
\(543\) 10.4537 0.779813i 0.448611 0.0334650i
\(544\) 3.80703 0.163225
\(545\) 8.39788 + 8.61169i 0.359726 + 0.368884i
\(546\) 0.408116 2.04811i 0.0174658 0.0876510i
\(547\) 21.4527 + 21.4527i 0.917252 + 0.917252i 0.996829 0.0795767i \(-0.0253569\pi\)
−0.0795767 + 0.996829i \(0.525357\pi\)
\(548\) 4.54541 4.54541i 0.194170 0.194170i
\(549\) 16.2845 2.44314i 0.695006 0.104271i
\(550\) −7.29098 + 6.93332i −0.310888 + 0.295638i
\(551\) −36.5193 −1.55578
\(552\) 15.2188 1.13528i 0.647755 0.0483205i
\(553\) −2.52246 2.52246i −0.107266 0.107266i
\(554\) 3.19261i 0.135641i
\(555\) −6.54596 + 0.405646i −0.277861 + 0.0172187i
\(556\) −0.709569 −0.0300924
\(557\) −0.846759 0.846759i −0.0358783 0.0358783i 0.688940 0.724818i \(-0.258076\pi\)
−0.724818 + 0.688940i \(0.758076\pi\)
\(558\) 12.5761 17.0157i 0.532389 0.720334i
\(559\) 6.93345 + 12.2726i 0.293254 + 0.519077i
\(560\) −0.747699 0.00939855i −0.0315960 0.000397161i
\(561\) 8.65846 10.0544i 0.365560 0.424496i
\(562\) −0.388876 0.388876i −0.0164037 0.0164037i
\(563\) −2.78320 2.78320i −0.117298 0.117298i 0.646021 0.763319i \(-0.276432\pi\)
−0.763319 + 0.646021i \(0.776432\pi\)
\(564\) −3.26664 + 3.79329i −0.137550 + 0.159726i
\(565\) −0.300200 + 23.8824i −0.0126295 + 1.00474i
\(566\) −16.9310 −0.711665
\(567\) 1.40995 2.65897i 0.0592123 0.111666i
\(568\) −6.99284 + 6.99284i −0.293413 + 0.293413i
\(569\) 1.33774 0.0560812 0.0280406 0.999607i \(-0.491073\pi\)
0.0280406 + 0.999607i \(0.491073\pi\)
\(570\) 1.92019 + 30.9864i 0.0804280 + 1.29788i
\(571\) −30.9261 −1.29422 −0.647108 0.762398i \(-0.724022\pi\)
−0.647108 + 0.762398i \(0.724022\pi\)
\(572\) −6.99021 1.94324i −0.292275 0.0812509i
\(573\) 0.661165 + 8.86317i 0.0276206 + 0.370264i
\(574\) 2.64243 0.110293
\(575\) −31.9247 + 30.3587i −1.33135 + 1.26604i
\(576\) −0.445105 2.96680i −0.0185460 0.123617i
\(577\) 32.6325 32.6325i 1.35851 1.35851i 0.482754 0.875756i \(-0.339636\pi\)
0.875756 0.482754i \(-0.160364\pi\)
\(578\) −1.77240 + 1.77240i −0.0737220 + 0.0737220i
\(579\) 21.5924 + 18.5946i 0.897350 + 0.772764i
\(580\) −7.29333 + 7.11225i −0.302839 + 0.295320i
\(581\) 1.41134i 0.0585523i
\(582\) −26.8273 + 2.00124i −1.11203 + 0.0829540i
\(583\) −13.7440 13.7440i −0.569218 0.569218i
\(584\) −3.66462 −0.151643
\(585\) −19.2459 + 14.6490i −0.795721 + 0.605663i
\(586\) 12.2892 0.507664
\(587\) 1.02834 + 1.02834i 0.0424440 + 0.0424440i 0.728010 0.685566i \(-0.240445\pi\)
−0.685566 + 0.728010i \(0.740445\pi\)
\(588\) 11.8976 0.887525i 0.490649 0.0366009i
\(589\) 56.5363i 2.32954i
\(590\) 27.5623 + 0.346457i 1.13472 + 0.0142634i
\(591\) 10.5147 + 9.05488i 0.432518 + 0.372468i
\(592\) −1.19742 + 1.19742i −0.0492135 + 0.0492135i
\(593\) −10.9212 + 10.9212i −0.448482 + 0.448482i −0.894850 0.446368i \(-0.852717\pi\)
0.446368 + 0.894850i \(0.352717\pi\)
\(594\) −8.84765 5.57197i −0.363023 0.228621i
\(595\) −2.03809 + 1.98749i −0.0835534 + 0.0814790i
\(596\) 3.81004 0.156065
\(597\) 1.27554 + 17.0991i 0.0522045 + 0.699821i
\(598\) −30.6078 8.50878i −1.25164 0.347950i
\(599\) 4.08722 0.166999 0.0834996 0.996508i \(-0.473390\pi\)
0.0834996 + 0.996508i \(0.473390\pi\)
\(600\) 6.41818 + 5.81438i 0.262021 + 0.237371i
\(601\) −6.82276 −0.278306 −0.139153 0.990271i \(-0.544438\pi\)
−0.139153 + 0.990271i \(0.544438\pi\)
\(602\) 0.924438 0.924438i 0.0376773 0.0376773i
\(603\) −10.7580 + 14.5558i −0.438099 + 0.592757i
\(604\) −3.85812 −0.156985
\(605\) −10.8512 11.1275i −0.441165 0.452397i
\(606\) −3.94919 + 4.58588i −0.160425 + 0.186289i
\(607\) 11.7904 + 11.7904i 0.478559 + 0.478559i 0.904671 0.426111i \(-0.140117\pi\)
−0.426111 + 0.904671i \(0.640117\pi\)
\(608\) 5.66817 + 5.66817i 0.229875 + 0.229875i
\(609\) −1.72192 + 1.99953i −0.0697756 + 0.0810249i
\(610\) −0.154267 + 12.2726i −0.00624607 + 0.496904i
\(611\) 9.07299 5.12581i 0.367054 0.207368i
\(612\) −9.18475 6.78833i −0.371272 0.274402i
\(613\) −17.6058 17.6058i −0.711093 0.711093i 0.255671 0.966764i \(-0.417704\pi\)
−0.966764 + 0.255671i \(0.917704\pi\)
\(614\) −19.8208 −0.799902
\(615\) −22.9370 20.2601i −0.924910 0.816968i
\(616\) 0.672913i 0.0271125i
\(617\) −16.1485 16.1485i −0.650116 0.650116i 0.302905 0.953021i \(-0.402044\pi\)
−0.953021 + 0.302905i \(0.902044\pi\)
\(618\) 6.30839 0.470586i 0.253761 0.0189298i
\(619\) 34.9009 1.40279 0.701393 0.712775i \(-0.252562\pi\)
0.701393 + 0.712775i \(0.252562\pi\)
\(620\) 11.0106 + 11.2909i 0.442197 + 0.453455i
\(621\) −38.7408 24.3978i −1.55462 0.979049i
\(622\) −6.19082 + 6.19082i −0.248229 + 0.248229i
\(623\) −0.243222 0.243222i −0.00974448 0.00974448i
\(624\) −1.22042 + 6.12459i −0.0488557 + 0.245180i
\(625\) −24.9684 1.25640i −0.998736 0.0502560i
\(626\) 27.2765 1.09019
\(627\) 27.8610 2.07834i 1.11266 0.0830011i
\(628\) 11.1016 11.1016i 0.443003 0.443003i
\(629\) 6.44683i 0.257052i
\(630\) 1.78712 + 1.35590i 0.0712007 + 0.0540204i
\(631\) 11.3113i 0.450297i 0.974324 + 0.225149i \(0.0722868\pi\)
−0.974324 + 0.225149i \(0.927713\pi\)
\(632\) 7.54308 + 7.54308i 0.300048 + 0.300048i
\(633\) 39.8202 2.97047i 1.58271 0.118065i
\(634\) 7.07857i 0.281126i
\(635\) −0.454978 + 36.1956i −0.0180552 + 1.43638i
\(636\) −10.9173 + 12.6774i −0.432900 + 0.502692i
\(637\) −23.9283 6.65192i −0.948072 0.263559i
\(638\) 6.48236 + 6.48236i 0.256639 + 0.256639i
\(639\) 29.3397 4.40180i 1.16066 0.174133i
\(640\) 2.23589 + 0.0281051i 0.0883814 + 0.00111095i
\(641\) 29.2838i 1.15664i −0.815810 0.578319i \(-0.803709\pi\)
0.815810 0.578319i \(-0.196291\pi\)
\(642\) −2.42685 + 0.181035i −0.0957800 + 0.00714490i
\(643\) 0.691053 + 0.691053i 0.0272525 + 0.0272525i 0.720602 0.693349i \(-0.243866\pi\)
−0.693349 + 0.720602i \(0.743866\pi\)
\(644\) 2.94646i 0.116107i
\(645\) −15.1123 + 0.936491i −0.595045 + 0.0368743i
\(646\) 30.5171 1.20068
\(647\) −18.2201 + 18.2201i −0.716306 + 0.716306i −0.967847 0.251540i \(-0.919063\pi\)
0.251540 + 0.967847i \(0.419063\pi\)
\(648\) −4.21626 + 7.95130i −0.165630 + 0.312357i
\(649\) 24.8055i 0.973701i
\(650\) −8.47020 15.9140i −0.332229 0.624199i
\(651\) 3.09551 + 2.66574i 0.121322 + 0.104478i
\(652\) 7.73462 7.73462i 0.302911 0.302911i
\(653\) −23.8883 23.8883i −0.934821 0.934821i 0.0631814 0.998002i \(-0.479875\pi\)
−0.998002 + 0.0631814i \(0.979875\pi\)
\(654\) −7.06015 6.07994i −0.276074 0.237744i
\(655\) −21.0880 + 20.5645i −0.823978 + 0.803520i
\(656\) −7.90181 −0.308514
\(657\) 8.84119 + 6.53441i 0.344928 + 0.254931i
\(658\) −0.683424 0.683424i −0.0266427 0.0266427i
\(659\) 39.4014 1.53486 0.767431 0.641132i \(-0.221535\pi\)
0.767431 + 0.641132i \(0.221535\pi\)
\(660\) 5.15939 5.84108i 0.200829 0.227364i
\(661\) 24.8182i 0.965317i −0.875809 0.482659i \(-0.839671\pi\)
0.875809 0.482659i \(-0.160329\pi\)
\(662\) 14.6550 14.6550i 0.569584 0.569584i
\(663\) 13.2019 + 19.7726i 0.512720 + 0.767903i
\(664\) 4.22042i 0.163784i
\(665\) −5.99356 0.0753388i −0.232420 0.00292151i
\(666\) 5.02398 0.753741i 0.194675 0.0292069i
\(667\) 28.3840 + 28.3840i 1.09903 + 1.09903i
\(668\) 9.30685 9.30685i 0.360093 0.360093i
\(669\) −12.1896 10.4973i −0.471278 0.405847i
\(670\) −9.41880 9.65860i −0.363880 0.373144i
\(671\) 11.0451 0.426392
\(672\) 0.577606 0.0430876i 0.0222816 0.00166214i
\(673\) 2.37353 2.37353i 0.0914927 0.0914927i −0.659879 0.751372i \(-0.729393\pi\)
0.751372 + 0.659879i \(0.229393\pi\)
\(674\) 18.2410i 0.702616i
\(675\) −5.11672 25.4719i −0.196943 0.980415i
\(676\) 6.70934 11.1348i 0.258052 0.428263i
\(677\) 18.8046 18.8046i 0.722721 0.722721i −0.246438 0.969159i \(-0.579260\pi\)
0.969159 + 0.246438i \(0.0792602\pi\)
\(678\) −1.37627 18.4494i −0.0528553 0.708545i
\(679\) 5.19395i 0.199326i
\(680\) 6.09462 5.94330i 0.233718 0.227915i
\(681\) −6.21922 5.35576i −0.238321 0.205233i
\(682\) 10.0355 10.0355i 0.384278 0.384278i
\(683\) 9.16112 9.16112i 0.350540 0.350540i −0.509770 0.860311i \(-0.670270\pi\)
0.860311 + 0.509770i \(0.170270\pi\)
\(684\) −3.56796 23.7818i −0.136424 0.909322i
\(685\) 0.180664 14.3727i 0.00690283 0.549153i
\(686\) 4.64431i 0.177321i
\(687\) −41.9994 + 3.13303i −1.60238 + 0.119532i
\(688\) −2.76440 + 2.76440i −0.105392 + 0.105392i
\(689\) 30.3225 17.1308i 1.15520 0.652631i
\(690\) 22.5912 25.5761i 0.860034 0.973666i
\(691\) 10.3308i 0.393002i 0.980504 + 0.196501i \(0.0629579\pi\)
−0.980504 + 0.196501i \(0.937042\pi\)
\(692\) −0.456884 + 0.456884i −0.0173681 + 0.0173681i
\(693\) 1.19988 1.62346i 0.0455795 0.0616700i
\(694\) −6.78932 −0.257719
\(695\) −1.13594 + 1.10774i −0.0430887 + 0.0420189i
\(696\) 5.14916 5.97931i 0.195178 0.226645i
\(697\) −21.2715 + 21.2715i −0.805715 + 0.805715i
\(698\) −1.66770 1.66770i −0.0631232 0.0631232i
\(699\) −14.0997 12.1421i −0.533300 0.459258i
\(700\) −1.21165 + 1.15222i −0.0457962 + 0.0435497i
\(701\) 20.4079i 0.770795i −0.922751 0.385397i \(-0.874064\pi\)
0.922751 0.385397i \(-0.125936\pi\)
\(702\) 13.8651 12.5999i 0.523306 0.475553i
\(703\) −9.59849 + 9.59849i −0.362014 + 0.362014i
\(704\) 2.01226i 0.0758397i
\(705\) 0.692335 + 11.1723i 0.0260748 + 0.420773i
\(706\) 0.937977 0.0353012
\(707\) −0.826223 0.826223i −0.0310733 0.0310733i
\(708\) −21.2922 + 1.58833i −0.800209 + 0.0596932i
\(709\) −51.7409 −1.94317 −0.971586 0.236687i \(-0.923938\pi\)
−0.971586 + 0.236687i \(0.923938\pi\)
\(710\) −0.277941 + 22.1115i −0.0104310 + 0.829831i
\(711\) −4.74817 31.6484i −0.178070 1.18691i
\(712\) 0.727322 + 0.727322i 0.0272575 + 0.0272575i
\(713\) 43.9419 43.9419i 1.64564 1.64564i
\(714\) 1.43891 1.67089i 0.0538498 0.0625315i
\(715\) −14.2242 + 7.80180i −0.531955 + 0.291771i
\(716\) 12.2071i 0.456201i
\(717\) −0.336072 4.50517i −0.0125508 0.168249i
\(718\) −17.9782 + 17.9782i −0.670939 + 0.670939i
\(719\) −22.3663 −0.834123 −0.417061 0.908878i \(-0.636940\pi\)
−0.417061 + 0.908878i \(0.636940\pi\)
\(720\) −5.34415 4.05464i −0.199165 0.151107i
\(721\) 1.22135i 0.0454853i
\(722\) 32.0010 + 32.0010i 1.19096 + 1.19096i
\(723\) −0.313293 4.19981i −0.0116515 0.156192i
\(724\) 6.05221i 0.224929i
\(725\) −0.572572 + 22.7718i −0.0212648 + 0.845724i
\(726\) 9.12269 + 7.85612i 0.338575 + 0.291568i
\(727\) −6.91747 6.91747i −0.256555 0.256555i 0.567097 0.823651i \(-0.308067\pi\)
−0.823651 + 0.567097i \(0.808067\pi\)
\(728\) −1.16167 0.322938i −0.0430544 0.0119689i
\(729\) 24.3501 11.6651i 0.901854 0.432041i
\(730\) −5.86665 + 5.72099i −0.217134 + 0.211743i
\(731\) 14.8834i 0.550483i
\(732\) −0.707235 9.48075i −0.0261402 0.350419i
\(733\) 36.6546 + 36.6546i 1.35387 + 1.35387i 0.881285 + 0.472585i \(0.156679\pi\)
0.472585 + 0.881285i \(0.343321\pi\)
\(734\) 23.7536i 0.876763i
\(735\) 17.6612 19.9947i 0.651442 0.737514i
\(736\) 8.81099i 0.324777i
\(737\) −8.58463 + 8.58463i −0.316219 + 0.316219i
\(738\) 19.0637 + 14.0898i 0.701746 + 0.518651i
\(739\) −13.6336 −0.501519 −0.250760 0.968049i \(-0.580680\pi\)
−0.250760 + 0.968049i \(0.580680\pi\)
\(740\) −0.0475932 + 3.78626i −0.00174956 + 0.139186i
\(741\) −9.78286 + 49.0947i −0.359382 + 1.80354i
\(742\) −2.28405 2.28405i −0.0838501 0.0838501i
\(743\) −33.6803 + 33.6803i −1.23561 + 1.23561i −0.273836 + 0.961776i \(0.588292\pi\)
−0.961776 + 0.273836i \(0.911708\pi\)
\(744\) −9.25669 7.97152i −0.339367 0.292250i
\(745\) 6.09944 5.94800i 0.223466 0.217918i
\(746\) −10.6136 −0.388593
\(747\) 7.52546 10.1821i 0.275342 0.372544i
\(748\) −5.41694 5.41694i −0.198063 0.198063i
\(749\) 0.469854i 0.0171681i
\(750\) 19.3518 0.711522i 0.706629 0.0259811i
\(751\) 13.7857 0.503048 0.251524 0.967851i \(-0.419068\pi\)
0.251524 + 0.967851i \(0.419068\pi\)
\(752\) 2.04369 + 2.04369i 0.0745256 + 0.0745256i
\(753\) −3.72026 49.8715i −0.135574 1.81742i
\(754\) −14.3016 + 8.07975i −0.520835 + 0.294247i
\(755\) −6.17642 + 6.02307i −0.224783 + 0.219202i
\(756\) −1.47035 0.925980i −0.0534761 0.0336776i
\(757\) −27.1169 27.1169i −0.985579 0.985579i 0.0143184 0.999897i \(-0.495442\pi\)
−0.999897 + 0.0143184i \(0.995442\pi\)
\(758\) 13.3577 + 13.3577i 0.485175 + 0.485175i
\(759\) −23.2699 20.0391i −0.844643 0.727375i
\(760\) 17.9229 + 0.225290i 0.650132 + 0.00817214i
\(761\) −28.2729 −1.02489 −0.512446 0.858720i \(-0.671260\pi\)
−0.512446 + 0.858720i \(0.671260\pi\)
\(762\) −2.08585 27.9615i −0.0755622 1.01294i
\(763\) 1.27200 1.27200i 0.0460497 0.0460497i
\(764\) 5.13137 0.185647
\(765\) −25.3013 + 3.47134i −0.914770 + 0.125506i
\(766\) −6.47732 −0.234035
\(767\) 42.8225 + 11.9044i 1.54623 + 0.429843i
\(768\) −1.72725 + 0.128848i −0.0623268 + 0.00464939i
\(769\) −8.13103 −0.293212 −0.146606 0.989195i \(-0.546835\pi\)
−0.146606 + 0.989195i \(0.546835\pi\)
\(770\) 1.05051 + 1.07726i 0.0378578 + 0.0388217i
\(771\) −29.1670 + 33.8693i −1.05042 + 1.21977i
\(772\) 11.6332 11.6332i 0.418689 0.418689i
\(773\) −21.2081 + 21.2081i −0.762803 + 0.762803i −0.976828 0.214025i \(-0.931343\pi\)
0.214025 + 0.976828i \(0.431343\pi\)
\(774\) 11.5986 1.74012i 0.416902 0.0625473i
\(775\) 35.2535