Properties

Label 392.2.z.a.37.7
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.7
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.34654 - 0.432240i) q^{2} +(1.94533 + 2.09656i) q^{3} +(1.62634 + 1.16406i) q^{4} +(0.117162 - 0.379831i) q^{5} +(-1.71324 - 3.66395i) q^{6} +(-1.64975 + 2.06841i) q^{7} +(-1.68677 - 2.27042i) q^{8} +(-0.387093 + 5.16539i) q^{9} +O(q^{10})\) \(q+(-1.34654 - 0.432240i) q^{2} +(1.94533 + 2.09656i) q^{3} +(1.62634 + 1.16406i) q^{4} +(0.117162 - 0.379831i) q^{5} +(-1.71324 - 3.66395i) q^{6} +(-1.64975 + 2.06841i) q^{7} +(-1.68677 - 2.27042i) q^{8} +(-0.387093 + 5.16539i) q^{9} +(-0.321942 + 0.460815i) q^{10} +(0.215544 - 0.0161528i) q^{11} +(0.723237 + 5.67419i) q^{12} +(-1.59721 + 3.31664i) q^{13} +(3.11550 - 2.07212i) q^{14} +(1.02426 - 0.493257i) q^{15} +(1.28994 + 3.78630i) q^{16} +(7.04217 + 1.06144i) q^{17} +(2.75393 - 6.78809i) q^{18} +(-4.90746 - 2.83332i) q^{19} +(0.632690 - 0.481349i) q^{20} +(-7.54586 + 0.564946i) q^{21} +(-0.297220 - 0.0714164i) q^{22} +(-3.02488 + 0.455928i) q^{23} +(1.47875 - 7.95313i) q^{24} +(4.00065 + 2.72760i) q^{25} +(3.58429 - 3.77560i) q^{26} +(-4.87437 + 3.88718i) q^{27} +(-5.09079 + 1.44354i) q^{28} +(-2.06221 - 1.64456i) q^{29} +(-1.59241 + 0.221464i) q^{30} +(-1.78007 - 3.08317i) q^{31} +(-0.100367 - 5.65596i) q^{32} +(0.453169 + 0.420479i) q^{33} +(-9.02377 - 4.47318i) q^{34} +(0.592359 + 0.868964i) q^{35} +(-6.64236 + 7.95007i) q^{36} +(1.46563 - 0.575217i) q^{37} +(5.38341 + 5.93638i) q^{38} +(-10.0606 + 3.10329i) q^{39} +(-1.06000 + 0.374681i) q^{40} +(2.27967 + 9.98790i) q^{41} +(10.4050 + 2.50090i) q^{42} +(-1.28322 - 0.292887i) q^{43} +(0.369350 + 0.224636i) q^{44} +(1.91662 + 0.752219i) q^{45} +(4.27020 + 0.693552i) q^{46} +(10.2926 - 7.01738i) q^{47} +(-5.42886 + 10.0700i) q^{48} +(-1.55668 - 6.82472i) q^{49} +(-4.20806 - 5.40206i) q^{50} +(11.4740 + 16.8292i) q^{51} +(-6.45835 + 3.53472i) q^{52} +(6.34573 + 2.49051i) q^{53} +(8.24373 - 3.12734i) q^{54} +(0.0191183 - 0.0837627i) q^{55} +(7.47891 + 0.256662i) q^{56} +(-3.60637 - 15.8005i) q^{57} +(2.06601 + 3.10584i) q^{58} +(0.191181 + 0.619794i) q^{59} +(2.23997 + 0.390093i) q^{60} +(1.62467 - 0.637637i) q^{61} +(1.06426 + 4.92102i) q^{62} +(-10.0456 - 9.32225i) q^{63} +(-2.30959 + 7.65936i) q^{64} +(1.07263 + 0.995252i) q^{65} +(-0.428462 - 0.762070i) q^{66} +(-0.938041 + 0.541578i) q^{67} +(10.2174 + 9.92375i) q^{68} +(-6.84027 - 5.45493i) q^{69} +(-0.422034 - 1.42614i) q^{70} +(6.41025 + 8.03820i) q^{71} +(12.3805 - 7.83399i) q^{72} +(-0.824880 - 0.562394i) q^{73} +(-2.22216 + 0.141048i) q^{74} +(2.06399 + 13.6937i) q^{75} +(-4.68303 - 10.3205i) q^{76} +(-0.322182 + 0.472482i) q^{77} +(14.8884 + 0.169903i) q^{78} +(-3.03489 + 5.25659i) q^{79} +(1.58928 - 0.0463484i) q^{80} +(-2.26591 - 0.341530i) q^{81} +(1.24750 - 14.4345i) q^{82} +(-6.39231 - 13.2738i) q^{83} +(-12.9297 - 7.86502i) q^{84} +(1.22824 - 2.55047i) q^{85} +(1.60131 + 0.949043i) q^{86} +(-0.563753 - 7.52277i) q^{87} +(-0.400248 - 0.462129i) q^{88} +(1.00588 - 13.4226i) q^{89} +(-2.25567 - 1.84133i) q^{90} +(-4.22519 - 8.77529i) q^{91} +(-5.45021 - 2.77965i) q^{92} +(3.00124 - 9.72979i) q^{93} +(-16.8926 + 5.00030i) q^{94} +(-1.65115 + 1.53204i) q^{95} +(11.6628 - 11.2131i) q^{96} -1.45332 q^{97} +(-0.853787 + 9.86261i) q^{98} +1.11962i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34654 0.432240i −0.952147 0.305640i
\(3\) 1.94533 + 2.09656i 1.12314 + 1.21045i 0.975170 + 0.221459i \(0.0710820\pi\)
0.147965 + 0.988993i \(0.452728\pi\)
\(4\) 1.62634 + 1.16406i 0.813168 + 0.582029i
\(5\) 0.117162 0.379831i 0.0523965 0.169865i −0.925593 0.378521i \(-0.876433\pi\)
0.977989 + 0.208656i \(0.0669089\pi\)
\(6\) −1.71324 3.66395i −0.699427 1.49580i
\(7\) −1.64975 + 2.06841i −0.623545 + 0.781787i
\(8\) −1.68677 2.27042i −0.596365 0.802714i
\(9\) −0.387093 + 5.16539i −0.129031 + 1.72180i
\(10\) −0.321942 + 0.460815i −0.101807 + 0.145722i
\(11\) 0.215544 0.0161528i 0.0649890 0.00487025i −0.0421959 0.999109i \(-0.513435\pi\)
0.107185 + 0.994239i \(0.465816\pi\)
\(12\) 0.723237 + 5.67419i 0.208780 + 1.63800i
\(13\) −1.59721 + 3.31664i −0.442986 + 0.919869i 0.553236 + 0.833024i \(0.313393\pi\)
−0.996222 + 0.0868447i \(0.972322\pi\)
\(14\) 3.11550 2.07212i 0.832652 0.553796i
\(15\) 1.02426 0.493257i 0.264462 0.127358i
\(16\) 1.28994 + 3.78630i 0.322486 + 0.946574i
\(17\) 7.04217 + 1.06144i 1.70798 + 0.257436i 0.929124 0.369769i \(-0.120563\pi\)
0.778854 + 0.627205i \(0.215801\pi\)
\(18\) 2.75393 6.78809i 0.649107 1.59997i
\(19\) −4.90746 2.83332i −1.12585 0.650008i −0.182960 0.983120i \(-0.558568\pi\)
−0.942887 + 0.333112i \(0.891901\pi\)
\(20\) 0.632690 0.481349i 0.141474 0.107633i
\(21\) −7.54586 + 0.564946i −1.64664 + 0.123281i
\(22\) −0.297220 0.0714164i −0.0633676 0.0152260i
\(23\) −3.02488 + 0.455928i −0.630732 + 0.0950675i −0.456625 0.889659i \(-0.650942\pi\)
−0.174107 + 0.984727i \(0.555704\pi\)
\(24\) 1.47875 7.95313i 0.301848 1.62343i
\(25\) 4.00065 + 2.72760i 0.800130 + 0.545519i
\(26\) 3.58429 3.77560i 0.702936 0.740457i
\(27\) −4.87437 + 3.88718i −0.938073 + 0.748089i
\(28\) −5.09079 + 1.44354i −0.962070 + 0.272804i
\(29\) −2.06221 1.64456i −0.382943 0.305387i 0.413032 0.910717i \(-0.364470\pi\)
−0.795975 + 0.605330i \(0.793041\pi\)
\(30\) −1.59241 + 0.221464i −0.290733 + 0.0404336i
\(31\) −1.78007 3.08317i −0.319709 0.553753i 0.660718 0.750634i \(-0.270252\pi\)
−0.980427 + 0.196881i \(0.936919\pi\)
\(32\) −0.100367 5.65596i −0.0177426 0.999843i
\(33\) 0.453169 + 0.420479i 0.0788866 + 0.0731961i
\(34\) −9.02377 4.47318i −1.54756 0.767144i
\(35\) 0.592359 + 0.868964i 0.100127 + 0.146882i
\(36\) −6.64236 + 7.95007i −1.10706 + 1.32501i
\(37\) 1.46563 0.575217i 0.240948 0.0945651i −0.241794 0.970327i \(-0.577736\pi\)
0.482742 + 0.875762i \(0.339641\pi\)
\(38\) 5.38341 + 5.93638i 0.873304 + 0.963008i
\(39\) −10.0606 + 3.10329i −1.61099 + 0.496925i
\(40\) −1.06000 + 0.374681i −0.167601 + 0.0592423i
\(41\) 2.27967 + 9.98790i 0.356025 + 1.55985i 0.762994 + 0.646406i \(0.223729\pi\)
−0.406968 + 0.913442i \(0.633414\pi\)
\(42\) 10.4050 + 2.50090i 1.60552 + 0.385897i
\(43\) −1.28322 0.292887i −0.195689 0.0446648i 0.123553 0.992338i \(-0.460571\pi\)
−0.319242 + 0.947673i \(0.603428\pi\)
\(44\) 0.369350 + 0.224636i 0.0556816 + 0.0338651i
\(45\) 1.91662 + 0.752219i 0.285713 + 0.112134i
\(46\) 4.27020 + 0.693552i 0.629606 + 0.102259i
\(47\) 10.2926 7.01738i 1.50133 1.02359i 0.515302 0.857008i \(-0.327680\pi\)
0.986028 0.166581i \(-0.0532727\pi\)
\(48\) −5.42886 + 10.0700i −0.783588 + 1.45348i
\(49\) −1.55668 6.82472i −0.222383 0.974959i
\(50\) −4.20806 5.40206i −0.595109 0.763966i
\(51\) 11.4740 + 16.8292i 1.60668 + 2.35656i
\(52\) −6.45835 + 3.53472i −0.895612 + 0.490178i
\(53\) 6.34573 + 2.49051i 0.871653 + 0.342098i 0.758652 0.651496i \(-0.225858\pi\)
0.113001 + 0.993595i \(0.463954\pi\)
\(54\) 8.24373 3.12734i 1.12183 0.425578i
\(55\) 0.0191183 0.0837627i 0.00257791 0.0112946i
\(56\) 7.47891 + 0.256662i 0.999412 + 0.0342979i
\(57\) −3.60637 15.8005i −0.477675 2.09283i
\(58\) 2.06601 + 3.10584i 0.271280 + 0.407816i
\(59\) 0.191181 + 0.619794i 0.0248897 + 0.0806904i 0.967166 0.254147i \(-0.0817948\pi\)
−0.942276 + 0.334838i \(0.891319\pi\)
\(60\) 2.23997 + 0.390093i 0.289179 + 0.0503608i
\(61\) 1.62467 0.637637i 0.208018 0.0816411i −0.259044 0.965865i \(-0.583408\pi\)
0.467062 + 0.884224i \(0.345312\pi\)
\(62\) 1.06426 + 4.92102i 0.135161 + 0.624970i
\(63\) −10.0456 9.32225i −1.26562 1.17449i
\(64\) −2.30959 + 7.65936i −0.288698 + 0.957420i
\(65\) 1.07263 + 0.995252i 0.133043 + 0.123446i
\(66\) −0.428462 0.762070i −0.0527400 0.0938043i
\(67\) −0.938041 + 0.541578i −0.114600 + 0.0661643i −0.556204 0.831046i \(-0.687743\pi\)
0.441604 + 0.897210i \(0.354409\pi\)
\(68\) 10.2174 + 9.92375i 1.23904 + 1.20343i
\(69\) −6.84027 5.45493i −0.823472 0.656697i
\(70\) −0.422034 1.42614i −0.0504427 0.170456i
\(71\) 6.41025 + 8.03820i 0.760756 + 0.953958i 0.999855 0.0170369i \(-0.00542329\pi\)
−0.239098 + 0.970995i \(0.576852\pi\)
\(72\) 12.3805 7.83399i 1.45906 0.923245i
\(73\) −0.824880 0.562394i −0.0965449 0.0658232i 0.514085 0.857739i \(-0.328131\pi\)
−0.610630 + 0.791916i \(0.709084\pi\)
\(74\) −2.22216 + 0.141048i −0.258321 + 0.0163966i
\(75\) 2.06399 + 13.6937i 0.238329 + 1.58121i
\(76\) −4.68303 10.3205i −0.537180 1.18384i
\(77\) −0.322182 + 0.472482i −0.0367161 + 0.0538444i
\(78\) 14.8884 + 0.169903i 1.68578 + 0.0192377i
\(79\) −3.03489 + 5.25659i −0.341452 + 0.591413i −0.984703 0.174243i \(-0.944252\pi\)
0.643250 + 0.765656i \(0.277585\pi\)
\(80\) 1.58928 0.0463484i 0.177687 0.00518191i
\(81\) −2.26591 0.341530i −0.251767 0.0379478i
\(82\) 1.24750 14.4345i 0.137764 1.59402i
\(83\) −6.39231 13.2738i −0.701648 1.45699i −0.880958 0.473194i \(-0.843101\pi\)
0.179311 0.983792i \(-0.442613\pi\)
\(84\) −12.9297 7.86502i −1.41075 0.858144i
\(85\) 1.22824 2.55047i 0.133222 0.276638i
\(86\) 1.60131 + 0.949043i 0.172674 + 0.102338i
\(87\) −0.563753 7.52277i −0.0604407 0.806525i
\(88\) −0.400248 0.462129i −0.0426665 0.0492631i
\(89\) 1.00588 13.4226i 0.106623 1.42279i −0.645497 0.763763i \(-0.723350\pi\)
0.752120 0.659026i \(-0.229031\pi\)
\(90\) −2.25567 1.84133i −0.237768 0.194094i
\(91\) −4.22519 8.77529i −0.442920 0.919900i
\(92\) −5.45021 2.77965i −0.568223 0.289798i
\(93\) 3.00124 9.72979i 0.311214 1.00893i
\(94\) −16.8926 + 5.00030i −1.74234 + 0.515741i
\(95\) −1.65115 + 1.53204i −0.169404 + 0.157184i
\(96\) 11.6628 11.2131i 1.19033 1.14443i
\(97\) −1.45332 −0.147562 −0.0737811 0.997274i \(-0.523507\pi\)
−0.0737811 + 0.997274i \(0.523507\pi\)
\(98\) −0.853787 + 9.86261i −0.0862455 + 0.996274i
\(99\) 1.11962i 0.112526i
\(100\) 3.33132 + 9.09298i 0.333132 + 0.909298i
\(101\) −11.9636 12.8937i −1.19042 1.28297i −0.949982 0.312304i \(-0.898899\pi\)
−0.240439 0.970664i \(-0.577291\pi\)
\(102\) −8.17588 27.6207i −0.809533 2.73486i
\(103\) 3.85168 + 1.18809i 0.379517 + 0.117066i 0.478644 0.878009i \(-0.341129\pi\)
−0.0991264 + 0.995075i \(0.531605\pi\)
\(104\) 10.2243 1.96809i 1.00257 0.192987i
\(105\) −0.669506 + 2.93234i −0.0653371 + 0.286167i
\(106\) −7.46827 6.09646i −0.725383 0.592140i
\(107\) 3.12566 + 0.234236i 0.302169 + 0.0226444i 0.224952 0.974370i \(-0.427778\pi\)
0.0772169 + 0.997014i \(0.475397\pi\)
\(108\) −12.4523 + 0.647819i −1.19822 + 0.0623364i
\(109\) 17.9795 1.34738i 1.72212 0.129055i 0.823367 0.567509i \(-0.192093\pi\)
0.898754 + 0.438454i \(0.144474\pi\)
\(110\) −0.0619492 + 0.104526i −0.00590662 + 0.00996617i
\(111\) 4.05711 + 1.95380i 0.385084 + 0.185446i
\(112\) −9.95971 3.57829i −0.941104 0.338117i
\(113\) 13.6242 6.56105i 1.28165 0.617212i 0.335839 0.941919i \(-0.390980\pi\)
0.945815 + 0.324707i \(0.105266\pi\)
\(114\) −1.97351 + 22.8349i −0.184836 + 2.13868i
\(115\) −0.181227 + 1.20236i −0.0168995 + 0.112121i
\(116\) −1.43949 5.07514i −0.133653 0.471215i
\(117\) −16.5135 9.53405i −1.52667 0.881423i
\(118\) 0.0104670 0.917214i 0.000963567 0.0844364i
\(119\) −13.8133 + 12.8150i −1.26626 + 1.17475i
\(120\) −2.84759 1.49348i −0.259948 0.136335i
\(121\) −10.8309 + 1.63250i −0.984631 + 0.148409i
\(122\) −2.46330 + 0.156354i −0.223017 + 0.0141557i
\(123\) −16.5056 + 24.2092i −1.48826 + 2.18287i
\(124\) 0.693994 7.08637i 0.0623225 0.636374i
\(125\) 3.05860 2.43915i 0.273570 0.218164i
\(126\) 9.49731 + 16.8949i 0.846087 + 1.50512i
\(127\) 9.41458 11.8055i 0.835409 1.04757i −0.162735 0.986670i \(-0.552032\pi\)
0.998144 0.0608997i \(-0.0193970\pi\)
\(128\) 6.42063 9.31533i 0.567509 0.823367i
\(129\) −1.88223 3.26011i −0.165721 0.287037i
\(130\) −1.01415 1.80378i −0.0889465 0.158202i
\(131\) −6.70430 + 7.22552i −0.585757 + 0.631296i −0.954491 0.298239i \(-0.903601\pi\)
0.368734 + 0.929535i \(0.379791\pi\)
\(132\) 0.247543 + 1.21136i 0.0215459 + 0.105435i
\(133\) 13.9565 5.47640i 1.21019 0.474864i
\(134\) 1.49720 0.323797i 0.129338 0.0279718i
\(135\) 0.905378 + 2.30687i 0.0779226 + 0.198543i
\(136\) −9.46865 17.7791i −0.811930 1.52454i
\(137\) 8.52393 2.62928i 0.728249 0.224635i 0.0916075 0.995795i \(-0.470799\pi\)
0.636641 + 0.771160i \(0.280323\pi\)
\(138\) 6.85285 + 10.3019i 0.583353 + 0.876958i
\(139\) 10.9191 2.49222i 0.926149 0.211387i 0.267257 0.963625i \(-0.413883\pi\)
0.658892 + 0.752238i \(0.271026\pi\)
\(140\) −0.0481478 + 2.10277i −0.00406923 + 0.177716i
\(141\) 34.7349 + 7.92800i 2.92520 + 0.667658i
\(142\) −5.15722 13.5945i −0.432784 1.14083i
\(143\) −0.290696 + 0.740680i −0.0243092 + 0.0619388i
\(144\) −20.0570 + 5.19741i −1.67142 + 0.433118i
\(145\) −0.866267 + 0.590611i −0.0719396 + 0.0490476i
\(146\) 0.867644 + 1.11383i 0.0718067 + 0.0921814i
\(147\) 11.2802 16.5400i 0.930375 1.36419i
\(148\) 3.05319 + 0.770579i 0.250971 + 0.0633412i
\(149\) −7.17859 10.5291i −0.588093 0.862574i 0.410696 0.911772i \(-0.365286\pi\)
−0.998789 + 0.0491985i \(0.984333\pi\)
\(150\) 3.13972 19.3312i 0.256357 1.57839i
\(151\) −1.13876 + 2.90151i −0.0926710 + 0.236122i −0.969692 0.244330i \(-0.921432\pi\)
0.877021 + 0.480452i \(0.159527\pi\)
\(152\) 1.84495 + 15.9211i 0.149645 + 1.29138i
\(153\) −8.20871 + 35.9647i −0.663635 + 2.90758i
\(154\) 0.638057 0.496956i 0.0514161 0.0400459i
\(155\) −1.37964 + 0.314893i −0.110815 + 0.0252928i
\(156\) −19.9744 6.66415i −1.59923 0.533559i
\(157\) 6.17869 + 20.0308i 0.493113 + 1.59863i 0.770209 + 0.637791i \(0.220152\pi\)
−0.277096 + 0.960842i \(0.589372\pi\)
\(158\) 6.35871 5.76640i 0.505872 0.458750i
\(159\) 7.12299 + 18.1491i 0.564890 + 1.43932i
\(160\) −2.16007 0.624543i −0.170768 0.0493744i
\(161\) 4.04724 7.00888i 0.318967 0.552377i
\(162\) 2.90351 + 1.43930i 0.228121 + 0.113082i
\(163\) −8.31016 + 8.95623i −0.650902 + 0.701506i −0.969142 0.246505i \(-0.920718\pi\)
0.318239 + 0.948010i \(0.396908\pi\)
\(164\) −7.91897 + 18.8974i −0.618368 + 1.47564i
\(165\) 0.212805 0.122863i 0.0165669 0.00956488i
\(166\) 2.87004 + 20.6367i 0.222758 + 1.60172i
\(167\) 1.27479 1.59854i 0.0986462 0.123698i −0.730058 0.683385i \(-0.760507\pi\)
0.828704 + 0.559687i \(0.189078\pi\)
\(168\) 14.0108 + 16.1793i 1.08096 + 1.24826i
\(169\) −0.343630 0.430898i −0.0264331 0.0331460i
\(170\) −2.75629 + 2.90342i −0.211398 + 0.222682i
\(171\) 16.5349 24.2522i 1.26445 1.85461i
\(172\) −1.74601 1.97007i −0.133132 0.150217i
\(173\) 0.765524 + 5.07892i 0.0582017 + 0.386143i 0.998900 + 0.0468980i \(0.0149336\pi\)
−0.940698 + 0.339245i \(0.889828\pi\)
\(174\) −2.49253 + 10.3734i −0.188958 + 0.786404i
\(175\) −12.2419 + 3.77516i −0.925397 + 0.285375i
\(176\) 0.339199 + 0.795278i 0.0255681 + 0.0599463i
\(177\) −0.927529 + 1.60653i −0.0697173 + 0.120754i
\(178\) −7.15623 + 17.6392i −0.536382 + 1.32212i
\(179\) 1.03023 6.83512i 0.0770029 0.510881i −0.916766 0.399424i \(-0.869210\pi\)
0.993769 0.111457i \(-0.0355517\pi\)
\(180\) 2.24145 + 3.45442i 0.167068 + 0.257477i
\(181\) −5.01262 10.4088i −0.372585 0.773682i 0.627402 0.778696i \(-0.284118\pi\)
−0.999987 + 0.00501393i \(0.998404\pi\)
\(182\) 1.89635 + 13.6426i 0.140567 + 1.01125i
\(183\) 4.49737 + 2.16582i 0.332455 + 0.160102i
\(184\) 6.13744 + 6.09870i 0.452458 + 0.449602i
\(185\) −0.0467687 0.624084i −0.00343850 0.0458836i
\(186\) −8.24690 + 11.8043i −0.604692 + 0.865532i
\(187\) 1.53504 + 0.115036i 0.112254 + 0.00841224i
\(188\) 24.9079 + 0.568559i 1.81659 + 0.0414664i
\(189\) 0.00116861 16.4951i 8.50042e−5 1.19984i
\(190\) 2.88555 1.34926i 0.209340 0.0978859i
\(191\) 9.68005 + 2.98590i 0.700424 + 0.216052i 0.624458 0.781058i \(-0.285320\pi\)
0.0759658 + 0.997110i \(0.475796\pi\)
\(192\) −20.5512 + 10.0578i −1.48316 + 0.725857i
\(193\) −9.31681 + 8.64474i −0.670639 + 0.622262i −0.940160 0.340732i \(-0.889325\pi\)
0.269521 + 0.962994i \(0.413135\pi\)
\(194\) 1.95695 + 0.628183i 0.140501 + 0.0451009i
\(195\) 4.18492i 0.299689i
\(196\) 5.41267 12.9113i 0.386620 0.922239i
\(197\) 20.1282i 1.43408i −0.697034 0.717038i \(-0.745497\pi\)
0.697034 0.717038i \(-0.254503\pi\)
\(198\) 0.483946 1.50762i 0.0343925 0.107142i
\(199\) −0.992820 + 0.921202i −0.0703792 + 0.0653023i −0.714578 0.699556i \(-0.753381\pi\)
0.644199 + 0.764858i \(0.277191\pi\)
\(200\) −0.555410 13.6840i −0.0392734 0.967604i
\(201\) −2.96025 0.913116i −0.208800 0.0644062i
\(202\) 10.5363 + 22.5330i 0.741329 + 1.58541i
\(203\) 6.80376 1.55241i 0.477530 0.108958i
\(204\) −0.929638 + 40.7263i −0.0650877 + 2.85141i
\(205\) 4.06080 + 0.304315i 0.283619 + 0.0212543i
\(206\) −4.67290 3.26465i −0.325576 0.227459i
\(207\) −1.18414 15.8012i −0.0823032 1.09826i
\(208\) −14.6181 1.76924i −1.01358 0.122674i
\(209\) −1.10354 0.531436i −0.0763334 0.0367602i
\(210\) 2.16899 3.65912i 0.149675 0.252503i
\(211\) −8.54304 17.7398i −0.588127 1.22126i −0.956541 0.291597i \(-0.905813\pi\)
0.368414 0.929662i \(-0.379901\pi\)
\(212\) 7.42119 + 11.4372i 0.509689 + 0.785510i
\(213\) −4.38256 + 29.0764i −0.300288 + 1.99228i
\(214\) −4.10757 1.66644i −0.280788 0.113916i
\(215\) −0.261592 + 0.453091i −0.0178404 + 0.0309005i
\(216\) 17.0475 + 4.51006i 1.15993 + 0.306871i
\(217\) 9.31392 + 1.40452i 0.632270 + 0.0953452i
\(218\) −24.7925 5.95716i −1.67916 0.403470i
\(219\) −0.425567 2.82345i −0.0287572 0.190791i
\(220\) 0.128597 0.113972i 0.00867003 0.00768396i
\(221\) −14.7682 + 21.6610i −0.993417 + 1.45708i
\(222\) −4.61854 4.38451i −0.309976 0.294269i
\(223\) −11.1042 13.9243i −0.743595 0.932438i 0.255817 0.966725i \(-0.417655\pi\)
−0.999412 + 0.0342869i \(0.989084\pi\)
\(224\) 11.8645 + 9.12330i 0.792728 + 0.609576i
\(225\) −15.6377 + 19.6091i −1.04252 + 1.30727i
\(226\) −21.1814 + 2.94580i −1.40897 + 0.195952i
\(227\) 13.4361 7.75735i 0.891787 0.514873i 0.0172603 0.999851i \(-0.494506\pi\)
0.874527 + 0.484978i \(0.161172\pi\)
\(228\) 12.5276 29.8950i 0.829657 1.97984i
\(229\) −14.9555 + 16.1182i −0.988285 + 1.06512i 0.00958931 + 0.999954i \(0.496948\pi\)
−0.997875 + 0.0651642i \(0.979243\pi\)
\(230\) 0.763738 1.54069i 0.0503594 0.101590i
\(231\) −1.61734 + 0.243657i −0.106413 + 0.0160315i
\(232\) −0.255350 + 7.45608i −0.0167645 + 0.489516i
\(233\) −1.15552 2.94421i −0.0757004 0.192882i 0.888014 0.459816i \(-0.152085\pi\)
−0.963715 + 0.266934i \(0.913989\pi\)
\(234\) 18.1150 + 19.9758i 1.18422 + 1.30586i
\(235\) −1.45951 4.73162i −0.0952079 0.308657i
\(236\) −0.410551 + 1.23054i −0.0267246 + 0.0801014i
\(237\) −16.9246 + 3.86294i −1.09937 + 0.250925i
\(238\) 24.1393 11.2853i 1.56472 0.731517i
\(239\) −2.61801 + 11.4702i −0.169345 + 0.741949i 0.816916 + 0.576756i \(0.195682\pi\)
−0.986261 + 0.165193i \(0.947175\pi\)
\(240\) 3.18885 + 3.24187i 0.205839 + 0.209262i
\(241\) −4.94487 + 12.5993i −0.318527 + 0.811593i 0.678504 + 0.734596i \(0.262628\pi\)
−0.997031 + 0.0769969i \(0.975467\pi\)
\(242\) 15.2899 + 2.48334i 0.982873 + 0.159635i
\(243\) 6.84426 + 10.0387i 0.439060 + 0.643982i
\(244\) 3.38451 + 0.854199i 0.216671 + 0.0546845i
\(245\) −2.77462 0.208324i −0.177264 0.0133094i
\(246\) 32.6896 25.4643i 2.08421 1.62354i
\(247\) 17.2353 11.7508i 1.09666 0.747688i
\(248\) −3.99750 + 9.24210i −0.253842 + 0.586874i
\(249\) 15.3942 39.2237i 0.975566 2.48570i
\(250\) −5.17283 + 1.96236i −0.327158 + 0.124111i
\(251\) −5.73848 1.30977i −0.362210 0.0826720i 0.0375431 0.999295i \(-0.488047\pi\)
−0.399753 + 0.916623i \(0.630904\pi\)
\(252\) −5.48585 26.8547i −0.345576 1.69169i
\(253\) −0.644631 + 0.147133i −0.0405276 + 0.00925016i
\(254\) −17.7799 + 11.8272i −1.11561 + 0.742106i
\(255\) 7.73656 2.38641i 0.484482 0.149443i
\(256\) −12.6721 + 9.76821i −0.792006 + 0.610513i
\(257\) −3.53901 9.01725i −0.220757 0.562481i 0.776994 0.629508i \(-0.216744\pi\)
−0.997751 + 0.0670276i \(0.978648\pi\)
\(258\) 1.12534 + 5.20344i 0.0700606 + 0.323952i
\(259\) −1.22813 + 3.98049i −0.0763121 + 0.247336i
\(260\) 0.585922 + 2.86721i 0.0363373 + 0.177817i
\(261\) 9.29307 10.0155i 0.575226 0.619947i
\(262\) 12.1508 6.83157i 0.750677 0.422056i
\(263\) 3.83535 + 6.64302i 0.236498 + 0.409626i 0.959707 0.281003i \(-0.0906670\pi\)
−0.723209 + 0.690629i \(0.757334\pi\)
\(264\) 0.190270 1.73814i 0.0117103 0.106975i
\(265\) 1.68945 2.11851i 0.103782 0.130139i
\(266\) −21.1601 + 1.34161i −1.29741 + 0.0822591i
\(267\) 30.0980 24.0024i 1.84197 1.46892i
\(268\) −2.15600 0.211145i −0.131699 0.0128977i
\(269\) −14.7832 + 21.6830i −0.901349 + 1.32204i 0.0450333 + 0.998985i \(0.485661\pi\)
−0.946382 + 0.323050i \(0.895292\pi\)
\(270\) −0.222007 3.49763i −0.0135109 0.212859i
\(271\) −27.1911 + 4.09840i −1.65174 + 0.248960i −0.907837 0.419323i \(-0.862267\pi\)
−0.743907 + 0.668283i \(0.767029\pi\)
\(272\) 5.06508 + 28.0330i 0.307116 + 1.69975i
\(273\) 10.1786 25.9292i 0.616036 1.56931i
\(274\) −12.6143 0.143951i −0.762057 0.00869640i
\(275\) 0.906374 + 0.523296i 0.0546564 + 0.0315559i
\(276\) −4.77473 16.8340i −0.287405 1.01329i
\(277\) 0.914027 6.06417i 0.0549185 0.364361i −0.944444 0.328671i \(-0.893399\pi\)
0.999363 0.0356894i \(-0.0113627\pi\)
\(278\) −15.7803 1.36382i −0.946438 0.0817962i
\(279\) 16.6148 8.00128i 0.994703 0.479024i
\(280\) 0.973734 2.81065i 0.0581917 0.167968i
\(281\) −18.7524 9.03069i −1.11868 0.538726i −0.219193 0.975682i \(-0.570342\pi\)
−0.899483 + 0.436956i \(0.856057\pi\)
\(282\) −43.3450 25.6892i −2.58116 1.52977i
\(283\) −23.6201 + 1.77008i −1.40407 + 0.105221i −0.755109 0.655600i \(-0.772416\pi\)
−0.648963 + 0.760820i \(0.724797\pi\)
\(284\) 1.06830 + 20.5347i 0.0633920 + 1.21851i
\(285\) −6.42405 0.481416i −0.380528 0.0285166i
\(286\) 0.711585 0.871705i 0.0420769 0.0515450i
\(287\) −24.4200 11.7622i −1.44147 0.694300i
\(288\) 29.2541 + 1.67095i 1.72382 + 0.0984614i
\(289\) 32.2208 + 9.93881i 1.89534 + 0.584636i
\(290\) 1.42175 0.420845i 0.0834880 0.0247129i
\(291\) −2.82718 3.04698i −0.165732 0.178617i
\(292\) −0.686874 1.87485i −0.0401963 0.109717i
\(293\) 6.51071i 0.380360i 0.981749 + 0.190180i \(0.0609072\pi\)
−0.981749 + 0.190180i \(0.939093\pi\)
\(294\) −22.3385 + 17.3960i −1.30281 + 1.01455i
\(295\) 0.257816 0.0150106
\(296\) −3.77817 2.35733i −0.219602 0.137017i
\(297\) −0.987853 + 0.916594i −0.0573210 + 0.0531862i
\(298\) 5.11517 + 17.2807i 0.296314 + 1.00104i
\(299\) 3.31922 10.7606i 0.191955 0.622304i
\(300\) −12.5835 + 24.6731i −0.726508 + 1.42450i
\(301\) 2.72280 2.17104i 0.156939 0.125137i
\(302\) 2.78754 3.41478i 0.160405 0.196499i
\(303\) 3.75933 50.1648i 0.215968 2.88189i
\(304\) 4.39746 22.2359i 0.252212 1.27532i
\(305\) −0.0518438 0.691807i −0.00296857 0.0396128i
\(306\) 26.5988 44.8798i 1.52055 2.56561i
\(307\) −8.15287 + 16.9296i −0.465309 + 0.966223i 0.527838 + 0.849345i \(0.323003\pi\)
−0.993146 + 0.116878i \(0.962711\pi\)
\(308\) −1.07397 + 0.393377i −0.0611953 + 0.0224147i
\(309\) 5.00188 + 10.3865i 0.284547 + 0.590868i
\(310\) 1.99385 + 0.172319i 0.113243 + 0.00978704i
\(311\) −9.85787 1.48584i −0.558989 0.0842540i −0.136530 0.990636i \(-0.543595\pi\)
−0.422459 + 0.906382i \(0.638833\pi\)
\(312\) 24.0158 + 17.6073i 1.35963 + 0.996815i
\(313\) 5.80618 10.0566i 0.328185 0.568432i −0.653967 0.756523i \(-0.726897\pi\)
0.982152 + 0.188091i \(0.0602299\pi\)
\(314\) 0.338278 29.6430i 0.0190901 1.67285i
\(315\) −4.71784 + 2.72340i −0.265820 + 0.153446i
\(316\) −11.0547 + 5.01620i −0.621877 + 0.282183i
\(317\) −0.388379 2.57673i −0.0218135 0.144723i 0.975273 0.221004i \(-0.0709335\pi\)
−0.997086 + 0.0762810i \(0.975695\pi\)
\(318\) −1.74662 27.5173i −0.0979457 1.54309i
\(319\) −0.471062 0.321165i −0.0263744 0.0179818i
\(320\) 2.63866 + 1.77464i 0.147506 + 0.0992054i
\(321\) 5.58934 + 7.00881i 0.311966 + 0.391193i
\(322\) −8.47929 + 7.68835i −0.472532 + 0.428455i
\(323\) −31.5518 25.1617i −1.75559 1.40003i
\(324\) −3.28756 3.19309i −0.182642 0.177394i
\(325\) −15.4363 + 8.91216i −0.856252 + 0.494358i
\(326\) 15.0612 8.46792i 0.834163 0.468995i
\(327\) 37.8008 + 35.0740i 2.09039 + 1.93960i
\(328\) 18.8314 22.0231i 1.03979 1.21602i
\(329\) −2.46533 + 32.8663i −0.135918 + 1.81198i
\(330\) −0.339657 + 0.0734571i −0.0186975 + 0.00404368i
\(331\) 20.1953 7.92607i 1.11003 0.435656i 0.261717 0.965145i \(-0.415711\pi\)
0.848317 + 0.529489i \(0.177616\pi\)
\(332\) 5.05538 29.0286i 0.277450 1.59315i
\(333\) 2.40389 + 7.79321i 0.131732 + 0.427065i
\(334\) −2.40751 + 1.60148i −0.131733 + 0.0876289i
\(335\) 0.0958050 + 0.419749i 0.00523439 + 0.0229333i
\(336\) −11.8728 27.8421i −0.647713 1.51891i
\(337\) −4.16735 + 18.2584i −0.227010 + 0.994596i 0.725053 + 0.688693i \(0.241815\pi\)
−0.952063 + 0.305903i \(0.901042\pi\)
\(338\) 0.276460 + 0.728752i 0.0150374 + 0.0396389i
\(339\) 40.2591 + 15.8005i 2.18658 + 0.858168i
\(340\) 4.96643 2.71818i 0.269343 0.147414i
\(341\) −0.433485 0.635805i −0.0234745 0.0344308i
\(342\) −32.7476 + 25.5095i −1.77079 + 1.37940i
\(343\) 16.6845 + 8.03919i 0.900877 + 0.434075i
\(344\) 1.49953 + 3.40748i 0.0808491 + 0.183719i
\(345\) −2.87337 + 1.95903i −0.154697 + 0.105471i
\(346\) 1.16451 7.16986i 0.0626042 0.385454i
\(347\) −9.67116 3.79565i −0.519175 0.203761i 0.0912606 0.995827i \(-0.470910\pi\)
−0.610436 + 0.792066i \(0.709006\pi\)
\(348\) 7.84008 12.8908i 0.420272 0.691019i
\(349\) 32.6199 + 7.44529i 1.74611 + 0.398537i 0.972086 0.234625i \(-0.0753862\pi\)
0.774019 + 0.633162i \(0.218243\pi\)
\(350\) 18.1159 + 0.208018i 0.968337 + 0.0111190i
\(351\) −5.10698 22.3751i −0.272591 1.19430i
\(352\) −0.112993 1.21749i −0.00602256 0.0648923i
\(353\) −29.8881 + 9.21925i −1.59078 + 0.490691i −0.958750 0.284251i \(-0.908255\pi\)
−0.632032 + 0.774942i \(0.717779\pi\)
\(354\) 1.94336 1.76234i 0.103288 0.0936671i
\(355\) 3.80419 1.49304i 0.201906 0.0792421i
\(356\) 17.2605 20.6587i 0.914807 1.09491i
\(357\) −53.7389 4.03100i −2.84416 0.213343i
\(358\) −4.34166 + 8.75845i −0.229464 + 0.462899i
\(359\) −0.480973 0.446278i −0.0253848 0.0235536i 0.667378 0.744719i \(-0.267416\pi\)
−0.692763 + 0.721165i \(0.743607\pi\)
\(360\) −1.52506 5.62035i −0.0803776 0.296219i
\(361\) 6.55541 + 11.3543i 0.345022 + 0.597595i
\(362\) 2.25058 + 16.1825i 0.118288 + 0.850536i
\(363\) −24.4924 19.5320i −1.28552 1.02516i
\(364\) 3.34336 19.1899i 0.175239 1.00583i
\(365\) −0.310259 + 0.247423i −0.0162397 + 0.0129507i
\(366\) −5.11973 4.86030i −0.267612 0.254052i
\(367\) −10.8726 7.41280i −0.567544 0.386945i 0.245282 0.969452i \(-0.421120\pi\)
−0.812826 + 0.582507i \(0.802072\pi\)
\(368\) −5.62820 10.8650i −0.293390 0.566377i
\(369\) −52.4739 + 7.90917i −2.73168 + 0.411735i
\(370\) −0.206779 + 0.860570i −0.0107499 + 0.0447389i
\(371\) −15.6203 + 9.01688i −0.810963 + 0.468133i
\(372\) 16.2071 12.3303i 0.840297 0.639296i
\(373\) 23.7566 + 13.7159i 1.23007 + 0.710181i 0.967044 0.254608i \(-0.0819465\pi\)
0.263025 + 0.964789i \(0.415280\pi\)
\(374\) −2.01727 0.818408i −0.104311 0.0423189i
\(375\) 11.0638 + 1.66760i 0.571333 + 0.0861146i
\(376\) −33.2937 11.5318i −1.71699 0.594705i
\(377\) 8.74819 4.21290i 0.450554 0.216976i
\(378\) −7.13141 + 22.2108i −0.366800 + 1.14240i
\(379\) −7.76397 + 16.1220i −0.398808 + 0.828134i 0.600779 + 0.799415i \(0.294857\pi\)
−0.999588 + 0.0287187i \(0.990857\pi\)
\(380\) −4.46871 + 0.569585i −0.229240 + 0.0292191i
\(381\) 43.0654 3.22731i 2.20631 0.165340i
\(382\) −11.7439 8.20474i −0.600872 0.419791i
\(383\) 0.266091 3.55074i 0.0135966 0.181434i −0.986271 0.165137i \(-0.947193\pi\)
0.999867 0.0162970i \(-0.00518772\pi\)
\(384\) 32.0204 4.66010i 1.63404 0.237810i
\(385\) 0.141716 + 0.177732i 0.00722250 + 0.00905805i
\(386\) 16.2821 7.61338i 0.828735 0.387511i
\(387\) 2.00960 6.51496i 0.102154 0.331174i
\(388\) −2.36359 1.69175i −0.119993 0.0858854i
\(389\) 3.24352 + 3.49568i 0.164453 + 0.177238i 0.809902 0.586565i \(-0.199520\pi\)
−0.645449 + 0.763803i \(0.723330\pi\)
\(390\) 1.80889 5.63516i 0.0915968 0.285348i
\(391\) −21.7857 −1.10175
\(392\) −12.8692 + 15.0461i −0.649992 + 0.759941i
\(393\) −28.1908 −1.42204
\(394\) −8.70023 + 27.1035i −0.438311 + 1.36545i
\(395\) 1.64104 + 1.76862i 0.0825696 + 0.0889889i
\(396\) −1.30330 + 1.82088i −0.0654935 + 0.0915028i
\(397\) −2.96867 + 9.62418i −0.148993 + 0.483024i −0.999046 0.0436739i \(-0.986094\pi\)
0.850053 + 0.526697i \(0.176570\pi\)
\(398\) 1.73505 0.811299i 0.0869703 0.0406667i
\(399\) 38.6316 + 18.6074i 1.93400 + 0.931535i
\(400\) −5.16689 + 18.6661i −0.258344 + 0.933305i
\(401\) 0.828725 11.0586i 0.0413845 0.552238i −0.937522 0.347927i \(-0.886886\pi\)
0.978906 0.204311i \(-0.0654954\pi\)
\(402\) 3.59141 + 2.50909i 0.179123 + 0.125142i
\(403\) 13.0689 0.979377i 0.651007 0.0487862i
\(404\) −4.44784 34.8957i −0.221288 1.73613i
\(405\) −0.395202 + 0.820646i −0.0196378 + 0.0407782i
\(406\) −9.83254 0.850482i −0.487981 0.0422087i
\(407\) 0.306616 0.147659i 0.0151984 0.00731917i
\(408\) 18.8553 54.4378i 0.933479 2.69507i
\(409\) 6.76057 + 1.01899i 0.334289 + 0.0503859i 0.314042 0.949409i \(-0.398317\pi\)
0.0202467 + 0.999795i \(0.493555\pi\)
\(410\) −5.33649 2.16501i −0.263551 0.106922i
\(411\) 22.0943 + 12.7561i 1.08983 + 0.629214i
\(412\) 4.88113 + 6.41580i 0.240476 + 0.316084i
\(413\) −1.59739 0.627061i −0.0786025 0.0308557i
\(414\) −5.23543 + 21.7888i −0.257307 + 1.07086i
\(415\) −5.79072 + 0.872811i −0.284255 + 0.0428446i
\(416\) 18.9191 + 8.70086i 0.927584 + 0.426595i
\(417\) 26.4664 + 18.0445i 1.29606 + 0.883642i
\(418\) 1.25625 + 1.19259i 0.0614452 + 0.0583317i
\(419\) −16.3034 + 13.0016i −0.796476 + 0.635168i −0.934782 0.355221i \(-0.884406\pi\)
0.138307 + 0.990389i \(0.455834\pi\)
\(420\) −4.50225 + 3.98963i −0.219687 + 0.194674i
\(421\) 27.9714 + 22.3064i 1.36324 + 1.08715i 0.987016 + 0.160620i \(0.0513493\pi\)
0.376224 + 0.926529i \(0.377222\pi\)
\(422\) 3.83568 + 27.5800i 0.186718 + 1.34257i
\(423\) 32.2633 + 55.8817i 1.56870 + 2.71706i
\(424\) −5.04930 18.6084i −0.245216 0.903703i
\(425\) 25.2781 + 23.4547i 1.22617 + 1.13772i
\(426\) 18.4693 37.2582i 0.894840 1.80517i
\(427\) −1.36140 + 4.41244i −0.0658827 + 0.213533i
\(428\) 4.81071 + 4.01939i 0.232534 + 0.194285i
\(429\) −2.11838 + 0.831403i −0.102276 + 0.0401405i
\(430\) 0.548088 0.497034i 0.0264312 0.0239691i
\(431\) −13.7466 + 4.24026i −0.662149 + 0.204246i −0.607573 0.794264i \(-0.707857\pi\)
−0.0545760 + 0.998510i \(0.517381\pi\)
\(432\) −21.0057 13.4416i −1.01064 0.646709i
\(433\) −7.30847 32.0205i −0.351223 1.53881i −0.774363 0.632742i \(-0.781929\pi\)
0.423140 0.906064i \(-0.360928\pi\)
\(434\) −11.9345 5.91710i −0.572873 0.284030i
\(435\) −2.92343 0.667253i −0.140168 0.0319923i
\(436\) 30.8091 + 18.7378i 1.47549 + 0.897380i
\(437\) 16.1363 + 6.33302i 0.771903 + 0.302949i
\(438\) −0.647367 + 3.98584i −0.0309324 + 0.190451i
\(439\) −1.89839 + 1.29430i −0.0906054 + 0.0617737i −0.607775 0.794109i \(-0.707938\pi\)
0.517170 + 0.855883i \(0.326986\pi\)
\(440\) −0.222425 + 0.0978823i −0.0106037 + 0.00466635i
\(441\) 35.8549 5.39906i 1.70738 0.257098i
\(442\) 29.2487 22.7840i 1.39122 1.08372i
\(443\) 11.3803 + 16.6918i 0.540695 + 0.793053i 0.995218 0.0976815i \(-0.0311427\pi\)
−0.454523 + 0.890735i \(0.650190\pi\)
\(444\) 4.32389 + 7.90024i 0.205203 + 0.374929i
\(445\) −4.98045 1.95468i −0.236096 0.0926608i
\(446\) 8.93366 + 23.5493i 0.423021 + 1.11509i
\(447\) 8.11014 35.5328i 0.383596 1.68064i
\(448\) −12.0325 17.4132i −0.568482 0.822695i
\(449\) −5.57808 24.4392i −0.263246 1.15336i −0.917706 0.397259i \(-0.869961\pi\)
0.654461 0.756096i \(-0.272896\pi\)
\(450\) 29.5327 19.6452i 1.39218 0.926082i
\(451\) 0.652703 + 2.11601i 0.0307346 + 0.0996390i
\(452\) 29.7949 + 5.18883i 1.40144 + 0.244062i
\(453\) −8.29847 + 3.25691i −0.389896 + 0.153023i
\(454\) −21.4453 + 4.63794i −1.00648 + 0.217669i
\(455\) −3.82816 + 0.576724i −0.179467 + 0.0270373i
\(456\) −29.7907 + 34.8399i −1.39508 + 1.63153i
\(457\) −27.0381 25.0877i −1.26479 1.17355i −0.976383 0.216047i \(-0.930684\pi\)
−0.288408 0.957508i \(-0.593126\pi\)
\(458\) 27.1050 15.2394i 1.26654 0.712090i
\(459\) −38.4522 + 22.2004i −1.79479 + 1.03622i
\(460\) −1.69435 + 1.74449i −0.0789996 + 0.0813371i
\(461\) −15.9175 12.6938i −0.741351 0.591207i 0.178285 0.983979i \(-0.442945\pi\)
−0.919636 + 0.392771i \(0.871516\pi\)
\(462\) 2.28313 + 0.370985i 0.106221 + 0.0172598i
\(463\) 16.5553 + 20.7597i 0.769391 + 0.964785i 0.999966 0.00826915i \(-0.00263218\pi\)
−0.230575 + 0.973055i \(0.574061\pi\)
\(464\) 3.56666 9.92954i 0.165578 0.460967i
\(465\) −3.34404 2.27993i −0.155076 0.105729i
\(466\) 0.283343 + 4.46396i 0.0131256 + 0.206789i
\(467\) −3.25052 21.5658i −0.150416 0.997947i −0.928913 0.370298i \(-0.879255\pi\)
0.778497 0.627649i \(-0.215983\pi\)
\(468\) −15.7583 34.7282i −0.728426 1.60531i
\(469\) 0.427320 2.83372i 0.0197318 0.130849i
\(470\) −0.0799070 + 7.00217i −0.00368583 + 0.322986i
\(471\) −29.9763 + 51.9205i −1.38124 + 2.39237i
\(472\) 1.08471 1.47951i 0.0499279 0.0681002i
\(473\) −0.281321 0.0424024i −0.0129352 0.00194966i
\(474\) 24.4594 + 2.11391i 1.12346 + 0.0970952i
\(475\) −11.9049 24.7207i −0.546232 1.13426i
\(476\) −37.3825 + 4.76211i −1.71342 + 0.218271i
\(477\) −15.3209 + 31.8141i −0.701495 + 1.45667i
\(478\) 8.48316 14.3135i 0.388011 0.654686i
\(479\) 1.52174 + 20.3062i 0.0695300 + 0.927813i 0.917492 + 0.397755i \(0.130211\pi\)
−0.847962 + 0.530058i \(0.822170\pi\)
\(480\) −2.89264 5.74366i −0.132031 0.262161i
\(481\) −0.433128 + 5.77970i −0.0197490 + 0.263532i
\(482\) 12.1044 14.8281i 0.551340 0.675402i
\(483\) 22.5678 5.14926i 1.02687 0.234300i
\(484\) −19.5151 9.95284i −0.887049 0.452402i
\(485\) −0.170274 + 0.552015i −0.00773174 + 0.0250657i
\(486\) −4.87694 16.4759i −0.221223 0.747360i
\(487\) 15.8140 14.6732i 0.716600 0.664908i −0.235088 0.971974i \(-0.575538\pi\)
0.951688 + 0.307066i \(0.0993474\pi\)
\(488\) −4.18816 2.61314i −0.189589 0.118291i
\(489\) −34.9433 −1.58019
\(490\) 3.64609 + 1.47982i 0.164713 + 0.0668514i
\(491\) 20.6528i 0.932047i 0.884772 + 0.466023i \(0.154314\pi\)
−0.884772 + 0.466023i \(0.845686\pi\)
\(492\) −55.0245 + 20.1589i −2.48070 + 0.908834i
\(493\) −12.7769 13.7702i −0.575441 0.620178i
\(494\) −28.2872 + 8.37317i −1.27270 + 0.376727i
\(495\) 0.425267 + 0.131177i 0.0191143 + 0.00589599i
\(496\) 9.37760 10.7170i 0.421067 0.481206i
\(497\) −27.2016 0.00192713i −1.22016 8.64436e-5i
\(498\) −37.6829 + 46.1623i −1.68861 + 2.06858i
\(499\) −19.7185 1.47770i −0.882723 0.0661509i −0.374350 0.927288i \(-0.622134\pi\)
−0.508373 + 0.861137i \(0.669753\pi\)
\(500\) 7.81363 0.406497i 0.349436 0.0181791i
\(501\) 5.83132 0.436997i 0.260524 0.0195236i
\(502\) 7.16095 + 4.24406i 0.319609 + 0.189422i
\(503\) 6.97522 + 3.35909i 0.311010 + 0.149774i 0.582877 0.812560i \(-0.301927\pi\)
−0.271867 + 0.962335i \(0.587641\pi\)
\(504\) −4.22079 + 38.5322i −0.188009 + 1.71636i
\(505\) −6.29909 + 3.03348i −0.280306 + 0.134988i
\(506\) 0.931618 + 0.0805154i 0.0414155 + 0.00357934i
\(507\) 0.234933 1.55868i 0.0104337 0.0692234i
\(508\) 29.0536 8.24062i 1.28904 0.365619i
\(509\) −19.2015 11.0860i −0.851092 0.491378i 0.00992703 0.999951i \(-0.496840\pi\)
−0.861019 + 0.508572i \(0.830173\pi\)
\(510\) −11.4491 0.130654i −0.506974 0.00578546i
\(511\) 2.52411 0.778388i 0.111660 0.0344338i
\(512\) 21.2857 7.67589i 0.940704 0.339229i
\(513\) 34.9344 5.26551i 1.54239 0.232478i
\(514\) 0.867798 + 13.6718i 0.0382769 + 0.603037i
\(515\) 0.902542 1.32379i 0.0397708 0.0583330i
\(516\) 0.733823 7.49306i 0.0323047 0.329864i
\(517\) 2.10516 1.67881i 0.0925848 0.0738339i
\(518\) 3.37425 4.82904i 0.148256 0.212176i
\(519\) −9.15909 + 11.4851i −0.402039 + 0.504142i
\(520\) 0.450359 4.11408i 0.0197495 0.180414i
\(521\) −13.0707 22.6391i −0.572638 0.991838i −0.996294 0.0860150i \(-0.972587\pi\)
0.423656 0.905823i \(-0.360747\pi\)
\(522\) −16.8426 + 9.46949i −0.737181 + 0.414468i
\(523\) 0.788918 0.850252i 0.0344970 0.0371789i −0.715568 0.698543i \(-0.753832\pi\)
0.750065 + 0.661365i \(0.230022\pi\)
\(524\) −19.3144 + 3.94693i −0.843752 + 0.172423i
\(525\) −31.7293 18.3219i −1.38478 0.799634i
\(526\) −2.29307 10.6029i −0.0999826 0.462308i
\(527\) −9.26296 23.6016i −0.403501 1.02810i
\(528\) −1.00750 + 2.25823i −0.0438457 + 0.0982767i
\(529\) −13.0361 + 4.02111i −0.566788 + 0.174831i
\(530\) −3.19062 + 2.12240i −0.138592 + 0.0921913i
\(531\) −3.27549 + 0.747609i −0.142144 + 0.0324435i
\(532\) 29.0729 + 7.33974i 1.26047 + 0.318218i
\(533\) −36.7673 8.39191i −1.59257 0.363494i
\(534\) −50.9030 + 19.3106i −2.20279 + 0.835650i
\(535\) 0.455179 1.15978i 0.0196791 0.0501415i
\(536\) 2.81187 + 1.21622i 0.121454 + 0.0525329i
\(537\) 16.3344 11.1366i 0.704881 0.480580i
\(538\) 29.2784 22.8071i 1.26228 0.983284i
\(539\) −0.445771 1.44588i −0.0192007 0.0622786i
\(540\) −1.21287 + 4.80565i −0.0521938 + 0.206802i
\(541\) −18.6312 27.3269i −0.801018 1.17488i −0.981531 0.191305i \(-0.938728\pi\)
0.180513 0.983573i \(-0.442224\pi\)
\(542\) 38.3854 + 6.23444i 1.64880 + 0.267792i
\(543\) 12.0716 30.7578i 0.518040 1.31995i
\(544\) 5.29664 39.9368i 0.227092 1.71228i
\(545\) 1.59474 6.98701i 0.0683112 0.299291i
\(546\) −24.9135 + 30.5151i −1.06620 + 1.30593i
\(547\) 20.4533 4.66832i 0.874518 0.199603i 0.238374 0.971173i \(-0.423386\pi\)
0.636144 + 0.771570i \(0.280528\pi\)
\(548\) 16.9234 + 5.64624i 0.722933 + 0.241195i
\(549\) 2.66475 + 8.63890i 0.113729 + 0.368699i
\(550\) −0.994280 1.09641i −0.0423962 0.0467511i
\(551\) 5.46065 + 13.9135i 0.232632 + 0.592736i
\(552\) −0.846983 + 24.7315i −0.0360500 + 1.05264i
\(553\) −5.86601 14.9495i −0.249448 0.635715i
\(554\) −3.85195 + 7.77057i −0.163654 + 0.330140i
\(555\) 1.21745 1.31210i 0.0516780 0.0556956i
\(556\) 20.6593 + 8.65730i 0.876148 + 0.367151i
\(557\) 15.8321 9.14065i 0.670827 0.387302i −0.125563 0.992086i \(-0.540074\pi\)
0.796390 + 0.604784i \(0.206740\pi\)
\(558\) −25.8310 + 3.59244i −1.09351 + 0.152080i
\(559\) 3.02097 3.78817i 0.127773 0.160223i
\(560\) −2.52605 + 3.36376i −0.106745 + 0.142145i
\(561\) 2.74498 + 3.44210i 0.115893 + 0.145326i
\(562\) 21.3474 + 20.2657i 0.900488 + 0.854858i
\(563\) 15.4145 22.6089i 0.649644 0.952853i −0.350225 0.936666i \(-0.613895\pi\)
0.999869 0.0161871i \(-0.00515273\pi\)
\(564\) 47.2619 + 53.3270i 1.99009 + 2.24547i
\(565\) −0.895851 5.94358i −0.0376887 0.250048i
\(566\) 32.5705 + 7.82609i 1.36904 + 0.328955i
\(567\) 4.44459 4.12339i 0.186655 0.173166i
\(568\) 7.43742 28.1126i 0.312067 1.17958i
\(569\) 11.2599 19.5026i 0.472037 0.817593i −0.527451 0.849586i \(-0.676852\pi\)
0.999488 + 0.0319928i \(0.0101854\pi\)
\(570\) 8.44215 + 3.42498i 0.353603 + 0.143457i
\(571\) −4.52487 + 30.0206i −0.189360 + 1.25632i 0.668996 + 0.743266i \(0.266724\pi\)
−0.858356 + 0.513055i \(0.828514\pi\)
\(572\) −1.33496 + 0.866209i −0.0558176 + 0.0362180i
\(573\) 12.5707 + 26.1034i 0.525150 + 1.09049i
\(574\) 27.7984 + 26.3936i 1.16028 + 1.10165i
\(575\) −13.3451 6.42666i −0.556529 0.268010i
\(576\) −38.6696 14.8948i −1.61123 0.620617i
\(577\) −0.457118 6.09981i −0.0190301 0.253938i −0.998603 0.0528473i \(-0.983170\pi\)
0.979573 0.201091i \(-0.0644487\pi\)
\(578\) −39.0907 27.3101i −1.62596 1.13595i
\(579\) −36.2485 2.71645i −1.50644 0.112892i
\(580\) −2.09635 0.0478522i −0.0870461 0.00198695i
\(581\) 38.0014 + 8.67640i 1.57656 + 0.359958i
\(582\) 2.48988 + 5.32489i 0.103209 + 0.220724i
\(583\) 1.40801 + 0.434314i 0.0583139 + 0.0179875i
\(584\) 0.114518 + 2.82145i 0.00473879 + 0.116753i
\(585\) −5.55608 + 5.15529i −0.229716 + 0.213145i
\(586\) 2.81419 8.76693i 0.116253 0.362159i
\(587\) 22.7267i 0.938033i −0.883189 0.469017i \(-0.844608\pi\)
0.883189 0.469017i \(-0.155392\pi\)
\(588\) 37.5989 13.7688i 1.55055 0.567815i
\(589\) 20.1740i 0.831255i
\(590\) −0.347160 0.111439i −0.0142923 0.00458785i
\(591\) 42.2001 39.1560i 1.73588 1.61066i
\(592\) 4.06852 + 4.80731i 0.167215 + 0.197579i
\(593\) −3.35478 1.03481i −0.137764 0.0424947i 0.225106 0.974334i \(-0.427727\pi\)
−0.362871 + 0.931840i \(0.618203\pi\)
\(594\) 1.72637 0.807240i 0.0708339 0.0331214i
\(595\) 3.24915 + 6.74815i 0.133202 + 0.276647i
\(596\) 0.581620 25.4801i 0.0238241 1.04370i
\(597\) −3.86272 0.289471i −0.158091 0.0118473i
\(598\) −9.12065 + 13.0549i −0.372971 + 0.533856i
\(599\) −0.436599 5.82601i −0.0178390 0.238044i −0.998995 0.0448264i \(-0.985727\pi\)
0.981156 0.193218i \(-0.0618925\pi\)
\(600\) 27.6089 27.7843i 1.12713 1.13429i
\(601\) −5.26553 2.53575i −0.214786 0.103435i 0.323398 0.946263i \(-0.395175\pi\)
−0.538183 + 0.842828i \(0.680889\pi\)
\(602\) −4.60477 + 1.74649i −0.187676 + 0.0711817i
\(603\) −2.43436 5.05499i −0.0991346 0.205855i
\(604\) −5.22953 + 3.39325i −0.212787 + 0.138070i
\(605\) −0.648903 + 4.30519i −0.0263817 + 0.175031i
\(606\) −26.7453 + 65.9240i −1.08646 + 2.67798i
\(607\) 6.08411 10.5380i 0.246947 0.427724i −0.715731 0.698377i \(-0.753906\pi\)
0.962677 + 0.270653i \(0.0872395\pi\)
\(608\) −15.5326 + 28.0408i −0.629931 + 1.13720i
\(609\) 16.4903 + 11.2446i 0.668219 + 0.455653i
\(610\) −0.229217 + 0.953955i −0.00928074 + 0.0386245i
\(611\) 6.83466 + 45.3450i 0.276501 + 1.83446i
\(612\) −55.2151 + 48.9353i −2.23194 + 1.97809i
\(613\) 11.7538 17.2396i 0.474730 0.696302i −0.511942 0.859020i \(-0.671074\pi\)
0.986673 + 0.162718i \(0.0520262\pi\)
\(614\) 18.2958 19.2724i 0.738359 0.777770i
\(615\) 7.26157 + 9.10572i 0.292815 + 0.367178i
\(616\) 1.61618 0.0654834i 0.0651178 0.00263840i
\(617\) −17.3907 + 21.8073i −0.700124 + 0.877928i −0.997033 0.0769779i \(-0.975473\pi\)
0.296909 + 0.954906i \(0.404044\pi\)
\(618\) −2.24576 16.1479i −0.0903377 0.649562i
\(619\) −25.7370 + 14.8593i −1.03446 + 0.597245i −0.918259 0.395981i \(-0.870404\pi\)
−0.116199 + 0.993226i \(0.537071\pi\)
\(620\) −2.61031 1.09385i −0.104833 0.0439302i
\(621\) 12.9721 13.9806i 0.520554 0.561024i
\(622\) 12.6318 + 6.26171i 0.506488 + 0.251072i
\(623\) 26.1040 + 24.2244i 1.04583 + 0.970530i
\(624\) −24.7276 34.0895i −0.989897 1.36467i
\(625\) 8.27680 + 21.0889i 0.331072 + 0.843557i
\(626\) −12.1651 + 11.0319i −0.486216 + 0.440925i
\(627\) −1.03255 3.34746i −0.0412362 0.133685i
\(628\) −13.2684 + 39.7692i −0.529466 + 1.58696i
\(629\) 10.9318 2.49511i 0.435878 0.0994864i
\(630\) 7.52992 1.62793i 0.299999 0.0648581i
\(631\) 3.54503 15.5318i 0.141125 0.618311i −0.854049 0.520192i \(-0.825860\pi\)
0.995175 0.0981187i \(-0.0312825\pi\)
\(632\) 17.0538 1.97621i 0.678365 0.0786092i
\(633\) 20.5736 52.4208i 0.817729 2.08354i
\(634\) −0.590797 + 3.63754i −0.0234636 + 0.144465i
\(635\) −3.38106 4.95910i −0.134173 0.196796i
\(636\) −9.54219 + 37.8081i −0.378373 + 1.49919i
\(637\) 25.1214 + 5.73755i 0.995347 + 0.227330i
\(638\) 0.495483 + 0.636073i 0.0196164 + 0.0251824i
\(639\) −44.0018 + 29.9999i −1.74068 + 1.18678i
\(640\) −2.78599 3.53016i −0.110126 0.139542i
\(641\) −9.31084 + 23.7236i −0.367756 + 0.937027i 0.620498 + 0.784208i \(0.286930\pi\)
−0.988254 + 0.152819i \(0.951165\pi\)
\(642\) −4.49677 11.8536i −0.177473 0.467823i
\(643\) −15.0013 3.42396i −0.591595 0.135028i −0.0837658 0.996485i \(-0.526695\pi\)
−0.507829 + 0.861458i \(0.669552\pi\)
\(644\) 14.7409 6.68758i 0.580873 0.263528i
\(645\) −1.45882 + 0.332965i −0.0574408 + 0.0131105i
\(646\) 31.6098 + 47.5192i 1.24367 + 1.86962i
\(647\) 8.63696 2.66415i 0.339554 0.104739i −0.120289 0.992739i \(-0.538382\pi\)
0.459843 + 0.888000i \(0.347906\pi\)
\(648\) 3.04665 + 5.72064i 0.119684 + 0.224728i
\(649\) 0.0512194 + 0.130505i 0.00201054 + 0.00512277i
\(650\) 24.6378 5.32838i 0.966374 0.208996i
\(651\) 15.1740 + 22.2595i 0.594714 + 0.872418i
\(652\) −23.9407 + 4.89233i −0.937590 + 0.191599i
\(653\) 11.9348 12.8627i 0.467046 0.503355i −0.454971 0.890506i \(-0.650350\pi\)
0.922016 + 0.387151i \(0.126541\pi\)
\(654\) −35.7399 63.5676i −1.39754 2.48569i
\(655\) 1.95898 + 3.39306i 0.0765437 + 0.132578i
\(656\) −34.8765 + 21.5153i −1.36170 + 0.840033i
\(657\) 3.22429 4.04313i 0.125792 0.157738i
\(658\) 17.5258 43.1901i 0.683226 1.68372i
\(659\) 13.1933 10.5213i 0.513940 0.409853i −0.331880 0.943322i \(-0.607683\pi\)
0.845820 + 0.533468i \(0.179112\pi\)
\(660\) 0.489113 + 0.0479006i 0.0190387 + 0.00186453i
\(661\) 26.3555 38.6564i 1.02511 1.50356i 0.169778 0.985482i \(-0.445695\pi\)
0.855333 0.518079i \(-0.173353\pi\)
\(662\) −30.6197 + 1.94354i −1.19007 + 0.0755380i
\(663\) −74.1426 + 11.1752i −2.87946 + 0.434009i
\(664\) −19.3546 + 36.9031i −0.751105 + 1.43212i
\(665\) −0.444924 5.94275i −0.0172534 0.230450i
\(666\) 0.131611 11.5329i 0.00509982 0.446892i
\(667\) 6.98775 + 4.03438i 0.270567 + 0.156212i
\(668\) 3.93403 1.11583i 0.152212 0.0431727i
\(669\) 7.59175 50.3680i 0.293514 1.94734i
\(670\) 0.0524273 0.606619i 0.00202544 0.0234358i
\(671\) 0.339889 0.163682i 0.0131213 0.00631887i
\(672\) 3.95267 + 42.6224i 0.152478 + 1.64419i
\(673\) 43.8516 + 21.1178i 1.69036 + 0.814033i 0.995487 + 0.0948974i \(0.0302523\pi\)
0.694870 + 0.719136i \(0.255462\pi\)
\(674\) 13.5035 22.7843i 0.520135 0.877619i
\(675\) −30.1033 + 2.25593i −1.15868 + 0.0868309i
\(676\) −0.0572677 1.10079i −0.00220260 0.0423381i
\(677\) −23.2981 1.74595i −0.895418 0.0671023i −0.380934 0.924602i \(-0.624397\pi\)
−0.514484 + 0.857500i \(0.672016\pi\)
\(678\) −47.3809 38.6777i −1.81965 1.48541i
\(679\) 2.39761 3.00607i 0.0920117 0.115362i
\(680\) −7.86241 + 1.51345i −0.301509 + 0.0580381i
\(681\) 42.4014 + 13.0791i 1.62483 + 0.501193i
\(682\) 0.308883 + 1.04351i 0.0118278 + 0.0399579i
\(683\) 32.1042 + 34.6001i 1.22843 + 1.32394i 0.929118 + 0.369783i \(0.120568\pi\)
0.299316 + 0.954154i \(0.403242\pi\)
\(684\) 55.1222 20.1947i 2.10765 0.772163i
\(685\) 3.54570i 0.135474i
\(686\) −18.9914 18.0368i −0.725096 0.688647i
\(687\) −62.8860 −2.39925
\(688\) −0.546324 5.23646i −0.0208284 0.199638i
\(689\) −18.3956 + 17.0686i −0.700815 + 0.650262i
\(690\) 4.71588 1.39593i 0.179531 0.0531420i
\(691\) 7.66656 24.8544i 0.291650 0.945505i −0.684611 0.728908i \(-0.740028\pi\)
0.976261 0.216597i \(-0.0694958\pi\)
\(692\) −4.66716 + 9.15115i −0.177419 + 0.347875i
\(693\) −2.31584 1.84709i −0.0879716 0.0701652i
\(694\) 11.3820 + 9.29126i 0.432053 + 0.352691i
\(695\) 0.332688 4.43941i 0.0126196 0.168397i
\(696\) −16.1289 + 13.9692i −0.611364 + 0.529500i
\(697\) 5.45233 + 72.7563i 0.206522 + 2.75584i
\(698\) −40.7059 24.1250i −1.54074 0.913146i
\(699\) 3.92487 8.15007i 0.148452 0.308264i
\(700\) −24.3039 8.11053i −0.918600 0.306549i
\(701\) −7.28895 15.1357i −0.275300 0.571666i 0.716777 0.697303i \(-0.245617\pi\)
−0.992076 + 0.125637i \(0.959902\pi\)
\(702\) −2.79469 + 32.3365i −0.105479 + 1.22046i
\(703\) −8.82228 1.32975i −0.332739 0.0501523i
\(704\) −0.374098 + 1.68824i −0.0140993 + 0.0636278i
\(705\) 7.08091 12.2645i 0.266683 0.461908i
\(706\) 44.2304 + 0.504746i 1.66463 + 0.0189964i
\(707\) 46.4063 3.47437i 1.74529 0.130667i
\(708\) −3.37856 + 1.53306i −0.126974 + 0.0576158i
\(709\) −1.69733 11.2610i −0.0637445 0.422917i −0.997829 0.0658640i \(-0.979020\pi\)
0.934084 0.357053i \(-0.116218\pi\)
\(710\) −5.76784 + 0.366106i −0.216463 + 0.0137397i
\(711\) −25.9776 17.7112i −0.974235 0.664222i
\(712\) −32.1715 + 20.3571i −1.20568 + 0.762913i
\(713\) 6.79020 + 8.51464i 0.254295 + 0.318876i
\(714\) 70.6192 + 28.6560i 2.64286 + 1.07242i
\(715\) 0.247274 + 0.197195i 0.00924754 + 0.00737467i
\(716\) 9.63197 9.91696i 0.359964 0.370614i
\(717\) −29.1410 + 16.8246i −1.08829 + 0.628325i
\(718\) 0.454750 + 0.808826i 0.0169711 + 0.0301851i
\(719\) −17.4370 16.1792i −0.650291 0.603382i 0.284459 0.958688i \(-0.408186\pi\)
−0.934750 + 0.355306i \(0.884377\pi\)
\(720\) −0.375793 + 8.22722i −0.0140050 + 0.306610i
\(721\) −8.81174 + 6.00683i −0.328166 + 0.223706i
\(722\) −3.91933 18.1225i −0.145862 0.674451i
\(723\) −36.0347 + 14.1426i −1.34014 + 0.525967i
\(724\) 3.96425 22.7632i 0.147330 0.845989i
\(725\) −3.76449 12.2042i −0.139810 0.453252i
\(726\) 24.5374 + 36.8872i 0.910669 + 1.36901i
\(727\) −3.28567 14.3955i −0.121859 0.533898i −0.998598 0.0529322i \(-0.983143\pi\)
0.876739 0.480966i \(-0.159714\pi\)
\(728\) −12.7966 + 24.3949i −0.474275 + 0.904134i
\(729\) −9.26215 + 40.5801i −0.343042 + 1.50297i
\(730\) 0.524722 0.199059i 0.0194208 0.00736750i
\(731\) −8.72578 3.42462i −0.322735 0.126664i
\(732\) 4.79310 + 8.75754i 0.177158 + 0.323688i
\(733\) 6.95068 + 10.1948i 0.256729 + 0.376553i 0.932866 0.360223i \(-0.117300\pi\)
−0.676137 + 0.736776i \(0.736347\pi\)
\(734\) 11.4363 + 14.6812i 0.422120 + 0.541893i
\(735\) −4.96078 6.22243i −0.182981 0.229518i
\(736\) 2.88231 + 17.0629i 0.106243 + 0.628946i
\(737\) −0.193441 + 0.131886i −0.00712549 + 0.00485808i
\(738\) 74.0768 + 12.0313i 2.72681 + 0.442879i
\(739\) −38.5168 15.1167i −1.41686 0.556078i −0.471432 0.881902i \(-0.656263\pi\)
−0.945430 + 0.325825i \(0.894358\pi\)
\(740\) 0.650408 1.06941i 0.0239095 0.0393124i
\(741\) 58.1647 + 13.2757i 2.13673 + 0.487696i
\(742\) 24.9307 5.38988i 0.915236 0.197869i
\(743\) −3.40760 14.9297i −0.125013 0.547716i −0.998181 0.0602966i \(-0.980795\pi\)
0.873168 0.487420i \(-0.162062\pi\)
\(744\) −27.1531 + 9.59789i −0.995481 + 0.351876i
\(745\) −4.84032 + 1.49304i −0.177335 + 0.0547007i
\(746\) −26.0606 28.7375i −0.954147 1.05216i
\(747\) 71.0387 27.8806i 2.59917 1.02010i
\(748\) 2.36259 + 1.97397i 0.0863849 + 0.0721753i
\(749\) −5.64104 + 6.07873i −0.206119 + 0.222112i
\(750\) −14.1771 7.02772i −0.517673 0.256616i
\(751\) 15.0209 + 13.9373i 0.548120 + 0.508581i 0.904910 0.425604i \(-0.139938\pi\)
−0.356790 + 0.934185i \(0.616129\pi\)
\(752\) 39.8467 + 29.9188i 1.45306 + 1.09103i
\(753\) −8.41720 14.5790i −0.306740 0.531289i
\(754\) −13.6008 + 1.89152i −0.495311 + 0.0688852i
\(755\) 0.968664 + 0.772483i 0.0352533 + 0.0281135i
\(756\) 19.2031 26.8252i 0.698411 0.975623i
\(757\) 11.3428 9.04560i 0.412262 0.328768i −0.395299 0.918553i \(-0.629359\pi\)
0.807560 + 0.589785i \(0.200787\pi\)
\(758\) 17.4231 18.3531i 0.632835 0.666613i
\(759\) −1.56249 1.06529i −0.0567149 0.0386675i
\(760\) 6.26350 + 1.16459i 0.227201 + 0.0422441i
\(761\) 19.6704 2.96484i 0.713053 0.107475i 0.217509 0.976058i \(-0.430207\pi\)
0.495544 + 0.868583i \(0.334969\pi\)
\(762\) −59.3843 14.2689i −2.15127 0.516908i
\(763\) −26.8746 + 39.4118i −0.972927 + 1.42680i
\(764\) 12.2673 + 16.1242i 0.443814 + 0.583354i
\(765\) 12.6988 + 7.33163i 0.459124 + 0.265076i
\(766\) −1.89308 + 4.66620i −0.0683996 + 0.168597i
\(767\) −2.36099 0.355862i −0.0852503 0.0128494i
\(768\) −45.1311 7.56550i −1.62853 0.272997i
\(769\) 1.48566 0.715457i 0.0535744 0.0258000i −0.406905 0.913471i \(-0.633392\pi\)
0.460479 + 0.887671i \(0.347678\pi\)
\(770\) −0.114003 0.300578i −0.00410838 0.0108321i
\(771\) 12.0207