Properties

Label 390.2.s.c.233.1
Level $390$
Weight $2$
Character 390.233
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 233.1
Character \(\chi\) \(=\) 390.233
Dual form 390.2.s.c.77.1

$q$-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} +(-3.47382 - 0.965701i) 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} +(5.87573 + 2.11560i) 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} +(-0.965701 + 3.47382i) 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} +(6.96910 - 4.05360i) 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} +(-5.65073 + 2.65881i) 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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(-1\)

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 \(-0.270130\pi\)
−0.750380 + 0.661006i \(0.770130\pi\)
\(8\) 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 \(-0.598108\pi\)
−0.303359 + 0.952876i \(0.598108\pi\)
\(12\) −0.128848 + 1.72725i −0.0371951 + 0.498615i
\(13\) −3.47382 0.965701i −0.963464 0.267837i
\(14\) 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 0.300791 0.953690i \(-0.402749\pi\)
−0.953690 + 0.300791i \(0.902749\pi\)
\(18\) −2.41258 + 1.78311i −0.568650 + 0.420282i
\(19\) 8.01600 1.83900 0.919499 0.393093i \(-0.128595\pi\)
0.919499 + 0.393093i \(0.128595\pi\)
\(20\) 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 0.370128 0.928981i \(-0.379314\pi\)
0.928981 0.370128i \(-0.120686\pi\)
\(24\) −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 \(-0.294452\pi\)
−0.798650 + 0.601796i \(0.794452\pi\)
\(38\) −5.66817 + 5.66817i −0.919499 + 0.919499i
\(39\) 5.87573 + 2.11560i 0.940870 + 0.338768i
\(40\) −2.23589 + 0.0281051i −0.353525 + 0.00444380i
\(41\) −7.90181 −1.23406 −0.617028 0.786941i \(-0.711663\pi\)
−0.617028 + 0.786941i \(0.711663\pi\)
\(42\) −0.577606 0.0430876i −0.0891265 0.00664857i
\(43\) 2.76440 + 2.76440i 0.421568 + 0.421568i 0.885743 0.464176i \(-0.153649\pi\)
−0.464176 + 0.885743i \(0.653649\pi\)
\(44\) 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 \(-0.682396\pi\)
0.840270 + 0.542168i \(0.182396\pi\)
\(48\) 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
\(52\) −0.965701 + 3.47382i −0.133919 + 0.481732i
\(53\) −6.83014 + 6.83014i −0.938192 + 0.938192i −0.998198 0.0600063i \(-0.980888\pi\)
0.0600063 + 0.998198i \(0.480888\pi\)
\(54\) 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
\(65\) 6.96910 4.05360i 0.864410 0.502787i
\(66\) −2.64101 + 2.27434i −0.325085 + 0.279951i
\(67\) 4.26617 + 4.26617i 0.521196 + 0.521196i 0.917933 0.396736i \(-0.129857\pi\)
−0.396736 + 0.917933i \(0.629857\pi\)
\(68\) −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 \(-0.699623\pi\)
−0.586826 + 0.809713i \(0.699623\pi\)
\(72\) 1.78311 + 2.41258i 0.210141 + 0.284325i
\(73\) −2.59128 + 2.59128i −0.303286 + 0.303286i −0.842298 0.539012i \(-0.818798\pi\)
0.539012 + 0.842298i \(0.318798\pi\)
\(74\) 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
\(78\) −5.65073 + 2.65881i −0.639819 + 0.301051i
\(79\) 10.6675i 1.20019i 0.799929 + 0.600095i \(0.204871\pi\)
−0.799929 + 0.600095i \(0.795129\pi\)
\(80\) 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 \(-0.324404\pi\)
−0.851661 + 0.524093i \(0.824404\pi\)
\(84\) 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 −0.992447 0.122671i \(-0.960854\pi\)
−0.122671 0.992447i \(-0.539146\pi\)
\(98\) 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 \(0.0556170\pi\)
−0.984774 + 0.173838i \(0.944383\pi\)
\(102\) −6.57569 0.490527i −0.651091 0.0485694i
\(103\) −2.58254 2.58254i −0.254466 0.254466i 0.568333 0.822799i \(-0.307589\pi\)
−0.822799 + 0.568333i \(0.807589\pi\)
\(104\) −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 0.753497 0.657451i \(-0.228365\pi\)
−0.657451 + 0.753497i \(0.728365\pi\)
\(108\) −1.15107 + 5.06705i −0.110762 + 0.487577i
\(109\) −5.37932 −0.515246 −0.257623 0.966246i \(-0.582939\pi\)
−0.257623 + 0.966246i \(0.582939\pi\)
\(110\) 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 −0.256129 0.966643i \(-0.582447\pi\)
0.966643 + 0.256129i \(0.0824473\pi\)
\(114\) 10.5207 9.06002i 0.985352 0.848549i
\(115\) 0.247633 + 19.7004i 0.0230919 + 1.83707i
\(116\) 4.55580i 0.422996i
\(117\) −9.87628 4.41125i −0.913062 0.407820i
\(118\) 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 0.0158806 0.999874i \(-0.494945\pi\)
0.999874 0.0158806i \(-0.00505516\pi\)
\(128\) −0.707107 0.707107i −0.0625000 0.0625000i
\(129\) −4.41864 5.13101i −0.389039 0.451760i
\(130\) −2.06157 + 7.79422i −0.180812 + 0.683599i
\(131\) 13.1727i 1.15091i −0.817835 0.575453i \(-0.804826\pi\)
0.817835 0.575453i \(-0.195174\pi\)
\(132\) 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 \(-0.661455\pi\)
0.874095 + 0.485755i \(0.161455\pi\)
\(138\) 1.13528 15.2188i 0.0966410 1.29551i
\(139\) 0.709569i 0.0601848i −0.999547 0.0300924i \(-0.990420\pi\)
0.999547 0.0300924i \(-0.00958016\pi\)
\(140\) −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
\(143\) 6.99021 + 1.94324i 0.584551 + 0.162502i
\(144\) −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
\(156\) 2.11560 5.87573i 0.169384 0.470435i
\(157\) −11.1016 + 11.1016i −0.886006 + 0.886006i −0.994137 0.108131i \(-0.965513\pi\)
0.108131 + 0.994137i \(0.465513\pi\)
\(158\) −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 \(-0.609084\pi\)
0.941852 + 0.336029i \(0.109084\pi\)
\(164\) 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 \(-0.579924\pi\)
0.968643 + 0.248457i \(0.0799236\pi\)
\(168\) −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 −0.689525 0.724262i \(-0.742181\pi\)
0.724262 + 0.689525i \(0.242181\pi\)
\(174\) 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 \(0.572215\pi\)
\(182\) −1.16167 0.322938i −0.0861088 0.0239377i
\(183\) −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 \(0.0594379\pi\)
−0.982617 + 0.185647i \(0.940562\pi\)
\(192\) 0.128848 1.72725i 0.00929878 0.124654i
\(193\) 11.6332 11.6332i 0.837377 0.837377i −0.151136 0.988513i \(-0.548293\pi\)
0.988513 + 0.151136i \(0.0482931\pi\)
\(194\) 15.5318 1.11512
\(195\) −12.5597 + 6.10363i −0.899418 + 0.437090i
\(196\) −6.88817 −0.492012
\(197\) 5.66495 5.66495i 0.403611 0.403611i −0.475892 0.879504i \(-0.657875\pi\)
0.879504 + 0.475892i \(0.157875\pi\)
\(198\) 4.85472 3.58806i 0.345010 0.254993i
\(199\) 9.89963i 0.701766i 0.936419 + 0.350883i \(0.114118\pi\)
−0.936419 + 0.350883i \(0.885882\pi\)
\(200\) 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
\(208\) 3.47382 + 0.965701i 0.240866 + 0.0669593i
\(209\) −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 \(-0.850655\pi\)
0.452157 + 0.891938i \(0.350655\pi\)
\(224\) −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 \(-0.800265\pi\)
0.587112 + 0.809506i \(0.300265\pi\)
\(228\) −1.03284 + 13.8457i −0.0684017 + 0.916951i
\(229\) −24.3157 −1.60683 −0.803415 0.595420i \(-0.796986\pi\)
−0.803415 + 0.595420i \(0.796986\pi\)
\(230\) −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 −0.413050 0.910708i \(-0.635537\pi\)
0.910708 + 0.413050i \(0.135537\pi\)
\(234\) 10.1028 3.86436i 0.660441 0.252621i
\(235\) 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
\(247\) −27.8461 7.74106i −1.77181 0.492552i
\(248\) 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 \(-0.635131\pi\)
0.411891 0.911233i \(-0.364869\pi\)
\(252\) −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 0.988763 + 0.149490i \(0.0477632\pi\)
0.149490 + 0.988763i \(0.452237\pi\)
\(258\) 6.75262 + 0.503725i 0.420400 + 0.0313605i
\(259\) 0.566286i 0.0351873i
\(260\) −4.05360 6.96910i −0.251393 0.432205i
\(261\) 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 −0.554852 0.831949i \(-0.687225\pi\)
0.831949 + 0.554852i \(0.187225\pi\)
\(264\) 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
\(273\) −0.889127 1.88965i −0.0538124 0.114367i
\(274\) 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 −0.636026 0.771667i \(-0.719423\pi\)
0.771667 + 0.636026i \(0.219423\pi\)
\(278\) 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 \(-0.494778\pi\)
0.0164037 + 0.999865i \(0.494778\pi\)
\(282\) 0.372397 4.99212i 0.0221759 0.297276i
\(283\) −11.9721 11.9721i −0.711665 0.711665i 0.255219 0.966883i \(-0.417852\pi\)
−0.966883 + 0.255219i \(0.917852\pi\)
\(284\) 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 \(-0.366873\pi\)
−0.913809 + 0.406145i \(0.866873\pi\)
\(294\) −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 \(-0.0586383\pi\)
−0.183178 + 0.983080i \(0.558638\pi\)
\(308\) 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 \(-0.920151\pi\)
0.968701 0.248229i \(-0.0798487\pi\)
\(312\) 2.65881 + 5.65073i 0.150526 + 0.319909i
\(313\) 19.2874 + 19.2874i 1.09019 + 1.09019i 0.995508 + 0.0946807i \(0.0301830\pi\)
0.0946807 + 0.995508i \(0.469817\pi\)
\(314\) 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 \(-0.813700\pi\)
0.552432 + 0.833558i \(0.313700\pi\)
\(318\) −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
\(325\) −4.39039 + 17.4850i −0.243535 + 0.969892i
\(326\) 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 −0.964971 0.262355i \(-0.915501\pi\)
0.262355 + 0.964971i \(0.415501\pi\)
\(338\) −12.6177 + 3.12930i −0.686315 + 0.170211i
\(339\) −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 0.566407 0.824126i \(-0.308333\pi\)
−0.824126 + 0.566407i \(0.808333\pi\)
\(348\) −0.587005 + 7.86902i −0.0314667 + 0.421824i
\(349\) 2.35848 0.126246 0.0631232 0.998006i \(-0.479894\pi\)
0.0631232 + 0.998006i \(0.479894\pi\)
\(350\) −0.0420283 1.67151i −0.00224651 0.0893459i
\(351\) 16.4904 + 8.89188i 0.880194 + 0.474613i
\(352\) −1.42288 + 1.42288i −0.0758397 + 0.0758397i
\(353\) −0.663250 0.663250i −0.0353012 0.0353012i 0.689236 0.724537i \(-0.257946\pi\)
−0.724537 + 0.689236i \(0.757946\pi\)
\(354\) −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 −0.993198 0.116435i \(-0.962853\pi\)
0.116435 + 0.993198i \(0.462853\pi\)
\(368\) −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 0.485593 0.874185i \(-0.338604\pi\)
−0.874185 + 0.485593i \(0.838604\pi\)
\(374\) −7.66071 −0.396126
\(375\) −13.1807 14.1869i −0.680648 0.732610i
\(376\) 2.89021 0.149051
\(377\) −15.8260 4.39954i −0.815082 0.226588i
\(378\) −1.69446 0.384927i −0.0871537 0.0197985i
\(379\) −18.8907 −0.970350 −0.485175 0.874417i \(-0.661244\pi\)
−0.485175 + 0.874417i \(0.661244\pi\)
\(380\) 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 \(-0.197080\pi\)
−0.580340 + 0.814375i \(0.697080\pi\)
\(384\) 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 \(0.470112\pi\)
\(390\) 4.56512 13.1970i 0.231164 0.668254i
\(391\) −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 \(-0.139183\pi\)
−0.423456 + 0.905917i \(0.639183\pi\)
\(398\) −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 \(-0.759699\pi\)
−0.728321 + 0.685236i \(0.759699\pi\)
\(402\) 10.4210 + 0.777374i 0.519752 + 0.0387719i
\(403\) −6.81102 + 24.5006i −0.339281 + 1.22046i
\(404\) 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 \(-0.177014\pi\)
0.849318 + 0.527882i \(0.177014\pi\)
\(410\) 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
\(429\) −11.8235 4.25713i −0.570843 0.205536i
\(430\) 6.10321 6.25860i 0.294323 0.301817i
\(431\) −22.5766 −1.08748 −0.543739 0.839254i \(-0.682992\pi\)
−0.543739 + 0.839254i \(0.682992\pi\)
\(432\) 5.06705 + 1.15107i 0.243789 + 0.0553810i
\(433\) 16.5303 + 16.5303i 0.794395 + 0.794395i 0.982205 0.187810i \(-0.0601390\pi\)
−0.187810 + 0.982205i \(0.560139\pi\)
\(434\) 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 \(-0.765800\pi\)
0.741319 0.671152i \(-0.234200\pi\)
\(440\) 4.49919 0.0565546i 0.214490 0.00269613i
\(441\) 3.06596 20.4358i 0.145998 0.973134i
\(442\) −13.2249 3.67645i −0.629045 0.174871i
\(443\) −3.61041 + 3.61041i −0.171536 + 0.171536i −0.787654 0.616118i \(-0.788704\pi\)
0.616118 + 0.787654i \(0.288704\pi\)
\(444\) 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
\(455\) −2.60645 0.689405i −0.122192 0.0323198i
\(456\) −9.06002 10.5207i −0.424275 0.492676i
\(457\) −11.3293 11.3293i −0.529960 0.529960i 0.390600 0.920560i \(-0.372268\pi\)
−0.920560 + 0.390600i \(0.872268\pi\)
\(458\) 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 \(-0.0818216\pi\)
0.967144 + 0.254229i \(0.0818216\pi\)
\(462\) 1.16229 + 0.0867033i 0.0540747 + 0.00403380i
\(463\) 24.1073 24.1073i 1.12036 1.12036i 0.128676 0.991687i \(-0.458927\pi\)
0.991687 0.128676i \(-0.0410726\pi\)
\(464\) −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 0.920425 0.390918i \(-0.127843\pi\)
−0.390918 + 0.920425i \(0.627843\pi\)
\(468\) −4.41125 + 9.87628i −0.203910 + 0.456531i
\(469\) 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 \(-0.0515459\pi\)
−0.161229 + 0.986917i \(0.551546\pi\)
\(488\) 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 \(0.102405\pi\)
−0.948694 + 0.316195i \(0.897595\pi\)
\(492\) 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 \(-0.278352\pi\)
0.641405 + 0.767202i \(0.278352\pi\)
\(500\) 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 −0.798609 0.601850i \(-0.794431\pi\)
0.601850 + 0.798609i \(0.294431\pi\)
\(504\) 0.148846 0.992119i 0.00663015 0.0441925i
\(505\) −5.59367 5.45479i −0.248915 0.242735i
\(506\) 17.7300i 0.788193i
\(507\) −18.3682 13.0234i −0.815760 0.578391i
\(508\) −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
\(520\) 7.79422 + 2.06157i 0.341799 + 0.0904059i
\(521\) 8.54770i 0.374482i −0.982314 0.187241i \(-0.940046\pi\)
0.982314 0.187241i \(-0.0599545\pi\)
\(522\) −10.9912 + 8.12347i −0.481073 + 0.355555i
\(523\) 0.832709 + 0.832709i 0.0364118 + 0.0364118i 0.725078 0.688666i \(-0.241804\pi\)
−0.688666 + 0.725078i \(0.741804\pi\)
\(524\) −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
\(533\) 27.4495 + 7.63079i 1.18897 + 0.330526i
\(534\) −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
\(546\) 1.96489 + 0.707474i 0.0840895 + 0.0302771i
\(547\) 21.4527 21.4527i 0.917252 0.917252i −0.0795767 0.996829i \(-0.525357\pi\)
0.996829 + 0.0795767i \(0.0253569\pi\)
\(548\) −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 \(-0.741924\pi\)
0.724818 + 0.688940i \(0.241924\pi\)
\(558\) 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 −0.763319 0.646021i \(-0.776432\pi\)
0.646021 + 0.763319i \(0.276432\pi\)
\(564\) 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 \(0.724022\pi\)
\(572\) 1.94324 6.99021i 0.0812509 0.292275i
\(573\) 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 −0.875756 0.482754i \(-0.839636\pi\)
−0.482754 0.875756i \(-0.660364\pi\)
\(578\) 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
\(585\) 22.4802 8.92422i 0.929441 0.368971i
\(586\) 12.2892 0.507664
\(587\) −1.02834 + 1.02834i −0.0424440 + 0.0424440i −0.728010 0.685566i \(-0.759555\pi\)
0.685566 + 0.728010i \(0.259555\pi\)
\(588\) 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 \(-0.147283\pi\)
−0.446368 + 0.894850i \(0.647283\pi\)
\(594\) −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
\(598\) 8.50878 30.6078i 0.347950 1.25164i
\(599\) 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 −0.426111 0.904671i \(-0.640117\pi\)
0.904671 + 0.426111i \(0.140117\pi\)
\(608\) 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 \(-0.582296\pi\)
0.966764 + 0.255671i \(0.0822963\pi\)
\(614\) −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 \(-0.597956\pi\)
0.953021 + 0.302905i \(0.0979564\pi\)
\(618\) −6.30839 0.470586i −0.253761 0.0189298i
\(619\) −34.9009 −1.40279 −0.701393 0.712775i \(-0.747438\pi\)
−0.701393 + 0.712775i \(0.747438\pi\)
\(620\) 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
\(624\) −5.87573 2.11560i −0.235218 0.0846919i
\(625\) −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
\(637\) −6.65192 + 23.9283i −0.263559 + 0.948072i
\(638\) 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 \(0.196291\pi\)
−0.815810 + 0.578319i \(0.803709\pi\)
\(642\) 2.42685 + 0.181035i 0.0957800 + 0.00714490i
\(643\) −0.691053 + 0.691053i −0.0272525 + 0.0272525i −0.720602 0.693349i \(-0.756134\pi\)
0.693349 + 0.720602i \(0.256134\pi\)
\(644\) 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 0.251540 0.967847i \(-0.419063\pi\)
−0.967847 + 0.251540i \(0.919063\pi\)
\(648\) 4.21626 + 7.95130i 0.165630 + 0.312357i
\(649\) 24.8055i 0.973701i
\(650\) −9.25927 15.4682i −0.363178 0.606714i
\(651\) 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 −0.998002 0.0631814i \(-0.979875\pi\)
0.0631814 + 0.998002i \(0.479875\pi\)
\(654\) −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
\(663\) −10.1222 21.5125i −0.393113 0.835475i
\(664\) 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 0.751372 0.659879i \(-0.229393\pi\)
−0.659879 + 0.751372i \(0.729393\pi\)
\(674\) 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 0.969159 0.246438i \(-0.0792602\pi\)
−0.246438 + 0.969159i \(0.579260\pi\)
\(678\) 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 \(-0.329730\pi\)
−0.860311 + 0.509770i \(0.829730\pi\)
\(684\) 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 \(0.125936\pi\)
−0.922751 + 0.385397i \(0.874064\pi\)
\(702\) −17.9480 + 5.37299i −0.677404 + 0.202790i
\(703\) −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 \(-0.0760617\pi\)
0.971586 + 0.236687i \(0.0760617\pi\)
\(710\) 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
\(715\) −14.0236 + 8.15687i −0.524453 + 0.305050i
\(716\) 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 −0.823651 0.567097i \(-0.808067\pi\)
0.567097 + 0.823651i \(0.308067\pi\)
\(728\) −0.322938 + 1.16167i −0.0119689 + 0.0430544i
\(729\) 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 −0.472585 + 0.881285i \(0.656679\pi\)
−0.881285 + 0.472585i \(0.843321\pi\)
\(734\) 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 \(-0.419320\pi\)
0.250760 + 0.968049i \(0.419320\pi\)
\(740\) −0.0475932 3.78626i −0.00174956 0.139186i
\(741\) 47.0999 + 16.9587i 1.73026 + 0.622993i
\(742\) −2.28405 + 2.28405i −0.0838501 + 0.0838501i
\(743\) 33.6803 + 33.6803i 1.23561 + 1.23561i 0.961776 + 0.273836i \(0.0882924\pi\)
0.273836 + 0.961776i \(0.411708\pi\)
\(744\) −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 −0.999897 0.0143184i \(-0.995442\pi\)
0.0143184 + 0.999897i \(0.495442\pi\)
\(758\) 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 \(-0.328740\pi\)
0.512446 + 0.858720i \(0.328740\pi\)
\(762\) 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
\(767\) −11.9044 + 42.8225i −0.429843 + 1.54623i
\(768\) −1.72725 0.128848i −0.0623268 0.00464939i
\(769\) 8.13103 0.293212 0.146606 0.989195i \(-0.453165\pi\)
0.146606 + 0.989195i \(0.453165\pi\)
\(770\) 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 \(-0.0686574\pi\)
−0.214025 + 0.976828i \(0.568657\pi\)
\(774\) −11.5986 1.74012i −0.416902 0.0625473i
\(775\) −35.2535 + 0.886410i