Properties

Label 177.2.f.a.38.13
Level $177$
Weight $2$
Character 177.38
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 38.13
Character \(\chi\) \(=\) 177.38
Dual form 177.2.f.a.14.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.33854 + 0.805370i) q^{2} +(-1.36238 - 1.06955i) q^{3} +(0.206240 + 0.389009i) q^{4} +(0.277684 - 2.55326i) q^{5} +(-0.962205 - 2.52884i) q^{6} +(2.22081 + 0.748279i) q^{7} +(0.131908 - 2.43291i) q^{8} +(0.712132 + 2.91425i) q^{9} +O(q^{10})\) \(q+(1.33854 + 0.805370i) q^{2} +(-1.36238 - 1.06955i) q^{3} +(0.206240 + 0.389009i) q^{4} +(0.277684 - 2.55326i) q^{5} +(-0.962205 - 2.52884i) q^{6} +(2.22081 + 0.748279i) q^{7} +(0.131908 - 2.43291i) q^{8} +(0.712132 + 2.91425i) q^{9} +(2.42801 - 3.19400i) q^{10} +(-0.00960777 - 0.0141704i) q^{11} +(0.135088 - 0.750559i) q^{12} +(-0.735037 - 0.775969i) q^{13} +(2.36999 + 2.79017i) q^{14} +(-3.10915 + 3.18151i) q^{15} +(2.63013 - 3.87916i) q^{16} +(0.403390 + 1.19722i) q^{17} +(-1.39384 + 4.47436i) q^{18} +(-0.426929 + 2.60415i) q^{19} +(1.05051 - 0.418562i) q^{20} +(-2.22526 - 3.39470i) q^{21} +(-0.00144792 - 0.0267054i) q^{22} +(-2.38236 + 8.58047i) q^{23} +(-2.78182 + 3.17345i) q^{24} +(-1.55894 - 0.343149i) q^{25} +(-0.358931 - 1.63064i) q^{26} +(2.14674 - 4.73197i) q^{27} +(0.166932 + 1.01824i) q^{28} +(0.278052 + 0.462125i) q^{29} +(-6.72400 + 1.75454i) q^{30} +(-1.33466 + 0.218807i) q^{31} +(2.22211 - 1.02806i) q^{32} +(-0.00206654 + 0.0295814i) q^{33} +(-0.424252 + 1.92740i) q^{34} +(2.52724 - 5.46253i) q^{35} +(-0.986801 + 0.878060i) q^{36} +(-8.98479 + 0.487141i) q^{37} +(-2.66876 + 3.14191i) q^{38} +(0.171460 + 1.84332i) q^{39} +(-6.17522 - 1.01238i) q^{40} +(6.38425 - 1.77258i) q^{41} +(-0.244596 - 6.33609i) q^{42} +(6.76575 + 4.58729i) q^{43} +(0.00353091 - 0.00666000i) q^{44} +(7.63860 - 1.00902i) q^{45} +(-10.0993 + 9.56659i) q^{46} +(12.2856 - 1.33614i) q^{47} +(-7.73218 + 2.47181i) q^{48} +(-1.20057 - 0.912648i) q^{49} +(-1.81034 - 1.71484i) q^{50} +(0.730915 - 2.06251i) q^{51} +(0.150265 - 0.445972i) q^{52} +(-0.133833 - 0.176055i) q^{53} +(6.68447 - 4.60498i) q^{54} +(-0.0388487 + 0.0205963i) q^{55} +(2.11344 - 5.30433i) q^{56} +(3.36690 - 3.09121i) q^{57} +0.842506i q^{58} +(-7.02188 + 3.11339i) q^{59} +(-1.87886 - 0.553335i) q^{60} +(6.33456 - 10.5281i) q^{61} +(-1.96271 - 0.782017i) q^{62} +(-0.599161 + 7.00488i) q^{63} +(-5.51619 - 0.599921i) q^{64} +(-2.18536 + 1.66127i) q^{65} +(-0.0265901 + 0.0379314i) q^{66} +(-8.60816 - 0.466721i) q^{67} +(-0.382534 + 0.403836i) q^{68} +(12.4229 - 9.14178i) q^{69} +(7.78216 - 5.27643i) q^{70} +(1.08936 + 10.0165i) q^{71} +(7.18404 - 1.34814i) q^{72} +(-0.531194 + 0.451201i) q^{73} +(-12.4188 - 6.58402i) q^{74} +(1.75685 + 2.13486i) q^{75} +(-1.10109 + 0.370999i) q^{76} +(-0.0107336 - 0.0386591i) q^{77} +(-1.25505 + 2.60544i) q^{78} +(5.45765 + 13.6977i) q^{79} +(-9.17417 - 7.79261i) q^{80} +(-7.98573 + 4.15067i) q^{81} +(9.97313 + 2.76903i) q^{82} +(-3.85743 - 1.78464i) q^{83} +(0.861633 - 1.56577i) q^{84} +(3.16883 - 0.697512i) q^{85} +(5.36173 + 11.5892i) q^{86} +(0.115455 - 0.926978i) q^{87} +(-0.0357426 + 0.0215056i) q^{88} +(-4.14733 + 2.49537i) q^{89} +(11.0372 + 4.80129i) q^{90} +(-1.05174 - 2.27329i) q^{91} +(-3.82922 + 0.842875i) q^{92} +(2.05234 + 1.12939i) q^{93} +(17.5208 + 8.10600i) q^{94} +(6.53053 + 1.81319i) q^{95} +(-4.12690 - 0.976053i) q^{96} +(-5.33641 - 4.53279i) q^{97} +(-0.871983 - 2.18851i) q^{98} +(0.0344541 - 0.0380907i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{39}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.33854 + 0.805370i 0.946488 + 0.569483i 0.903032 0.429573i \(-0.141336\pi\)
0.0434553 + 0.999055i \(0.486163\pi\)
\(3\) −1.36238 1.06955i −0.786568 0.617504i
\(4\) 0.206240 + 0.389009i 0.103120 + 0.194505i
\(5\) 0.277684 2.55326i 0.124184 1.14185i −0.751758 0.659439i \(-0.770794\pi\)
0.875943 0.482415i \(-0.160240\pi\)
\(6\) −0.962205 2.52884i −0.392819 1.03240i
\(7\) 2.22081 + 0.748279i 0.839388 + 0.282823i 0.705974 0.708238i \(-0.250509\pi\)
0.133414 + 0.991060i \(0.457406\pi\)
\(8\) 0.131908 2.43291i 0.0466367 0.860163i
\(9\) 0.712132 + 2.91425i 0.237377 + 0.971417i
\(10\) 2.42801 3.19400i 0.767805 1.01003i
\(11\) −0.00960777 0.0141704i −0.00289685 0.00427253i 0.826238 0.563321i \(-0.190477\pi\)
−0.829135 + 0.559049i \(0.811166\pi\)
\(12\) 0.135088 0.750559i 0.0389966 0.216668i
\(13\) −0.735037 0.775969i −0.203863 0.215215i 0.616045 0.787711i \(-0.288734\pi\)
−0.819908 + 0.572496i \(0.805975\pi\)
\(14\) 2.36999 + 2.79017i 0.633408 + 0.745705i
\(15\) −3.10915 + 3.18151i −0.802779 + 0.821461i
\(16\) 2.63013 3.87916i 0.657534 0.969790i
\(17\) 0.403390 + 1.19722i 0.0978364 + 0.290368i 0.985384 0.170348i \(-0.0544892\pi\)
−0.887548 + 0.460716i \(0.847593\pi\)
\(18\) −1.39384 + 4.47436i −0.328531 + 1.05462i
\(19\) −0.426929 + 2.60415i −0.0979441 + 0.597433i 0.891557 + 0.452908i \(0.149613\pi\)
−0.989501 + 0.144524i \(0.953835\pi\)
\(20\) 1.05051 0.418562i 0.234902 0.0935934i
\(21\) −2.22526 3.39470i −0.485591 0.740785i
\(22\) −0.00144792 0.0267054i −0.000308698 0.00569361i
\(23\) −2.38236 + 8.58047i −0.496756 + 1.78915i 0.109619 + 0.993974i \(0.465037\pi\)
−0.606375 + 0.795179i \(0.707377\pi\)
\(24\) −2.78182 + 3.17345i −0.567837 + 0.647778i
\(25\) −1.55894 0.343149i −0.311789 0.0686299i
\(26\) −0.358931 1.63064i −0.0703922 0.319795i
\(27\) 2.14674 4.73197i 0.413141 0.910667i
\(28\) 0.166932 + 1.01824i 0.0315472 + 0.192429i
\(29\) 0.278052 + 0.462125i 0.0516329 + 0.0858145i 0.881599 0.472000i \(-0.156468\pi\)
−0.829966 + 0.557814i \(0.811640\pi\)
\(30\) −6.72400 + 1.75454i −1.22763 + 0.320334i
\(31\) −1.33466 + 0.218807i −0.239713 + 0.0392989i −0.280441 0.959871i \(-0.590481\pi\)
0.0407280 + 0.999170i \(0.487032\pi\)
\(32\) 2.22211 1.02806i 0.392817 0.181736i
\(33\) −0.00206654 + 0.0295814i −0.000359739 + 0.00514945i
\(34\) −0.424252 + 1.92740i −0.0727587 + 0.330546i
\(35\) 2.52724 5.46253i 0.427181 0.923337i
\(36\) −0.986801 + 0.878060i −0.164467 + 0.146343i
\(37\) −8.98479 + 0.487141i −1.47709 + 0.0800855i −0.774981 0.631984i \(-0.782241\pi\)
−0.702109 + 0.712070i \(0.747758\pi\)
\(38\) −2.66876 + 3.14191i −0.432930 + 0.509685i
\(39\) 0.171460 + 1.84332i 0.0274555 + 0.295167i
\(40\) −6.17522 1.01238i −0.976389 0.160071i
\(41\) 6.38425 1.77258i 0.997053 0.276830i 0.269588 0.962976i \(-0.413112\pi\)
0.727465 + 0.686145i \(0.240699\pi\)
\(42\) −0.244596 6.33609i −0.0377421 0.977679i
\(43\) 6.76575 + 4.58729i 1.03177 + 0.699556i 0.954730 0.297472i \(-0.0961436\pi\)
0.0770373 + 0.997028i \(0.475454\pi\)
\(44\) 0.00353091 0.00666000i 0.000532305 0.00100403i
\(45\) 7.63860 1.00902i 1.13870 0.150416i
\(46\) −10.0993 + 9.56659i −1.48906 + 1.41052i
\(47\) 12.2856 1.33614i 1.79204 0.194896i 0.849186 0.528094i \(-0.177093\pi\)
0.942857 + 0.333198i \(0.108128\pi\)
\(48\) −7.73218 + 2.47181i −1.11604 + 0.356775i
\(49\) −1.20057 0.912648i −0.171510 0.130378i
\(50\) −1.81034 1.71484i −0.256020 0.242515i
\(51\) 0.730915 2.06251i 0.102349 0.288809i
\(52\) 0.150265 0.445972i 0.0208381 0.0618452i
\(53\) −0.133833 0.176055i −0.0183834 0.0241829i 0.786810 0.617196i \(-0.211731\pi\)
−0.805193 + 0.593013i \(0.797938\pi\)
\(54\) 6.68447 4.60498i 0.909642 0.626659i
\(55\) −0.0388487 + 0.0205963i −0.00523835 + 0.00277720i
\(56\) 2.11344 5.30433i 0.282420 0.708820i
\(57\) 3.36690 3.09121i 0.445957 0.409440i
\(58\) 0.842506i 0.110626i
\(59\) −7.02188 + 3.11339i −0.914171 + 0.405329i
\(60\) −1.87886 0.553335i −0.242560 0.0714352i
\(61\) 6.33456 10.5281i 0.811058 1.34799i −0.123561 0.992337i \(-0.539431\pi\)
0.934619 0.355651i \(-0.115741\pi\)
\(62\) −1.96271 0.782017i −0.249265 0.0993163i
\(63\) −0.599161 + 7.00488i −0.0754871 + 0.882532i
\(64\) −5.51619 0.599921i −0.689523 0.0749902i
\(65\) −2.18536 + 1.66127i −0.271061 + 0.206055i
\(66\) −0.0265901 + 0.0379314i −0.00327301 + 0.00466903i
\(67\) −8.60816 0.466721i −1.05165 0.0570191i −0.479803 0.877376i \(-0.659292\pi\)
−0.571852 + 0.820357i \(0.693775\pi\)
\(68\) −0.382534 + 0.403836i −0.0463890 + 0.0489723i
\(69\) 12.4229 9.14178i 1.49554 1.10054i
\(70\) 7.78216 5.27643i 0.930146 0.630654i
\(71\) 1.08936 + 10.0165i 0.129283 + 1.18874i 0.861533 + 0.507701i \(0.169504\pi\)
−0.732251 + 0.681035i \(0.761530\pi\)
\(72\) 7.18404 1.34814i 0.846648 0.158880i
\(73\) −0.531194 + 0.451201i −0.0621716 + 0.0528090i −0.677933 0.735123i \(-0.737124\pi\)
0.615762 + 0.787932i \(0.288848\pi\)
\(74\) −12.4188 6.58402i −1.44365 0.765377i
\(75\) 1.75685 + 2.13486i 0.202864 + 0.246513i
\(76\) −1.10109 + 0.370999i −0.126303 + 0.0425565i
\(77\) −0.0107336 0.0386591i −0.00122321 0.00440561i
\(78\) −1.25505 + 2.60544i −0.142106 + 0.295008i
\(79\) 5.45765 + 13.6977i 0.614033 + 1.54111i 0.825905 + 0.563810i \(0.190665\pi\)
−0.211872 + 0.977298i \(0.567956\pi\)
\(80\) −9.17417 7.79261i −1.02570 0.871240i
\(81\) −7.98573 + 4.15067i −0.887304 + 0.461185i
\(82\) 9.97313 + 2.76903i 1.10135 + 0.305788i
\(83\) −3.85743 1.78464i −0.423407 0.195889i 0.196602 0.980483i \(-0.437009\pi\)
−0.620010 + 0.784594i \(0.712871\pi\)
\(84\) 0.861633 1.56577i 0.0940119 0.170839i
\(85\) 3.16883 0.697512i 0.343708 0.0756558i
\(86\) 5.36173 + 11.5892i 0.578170 + 1.24969i
\(87\) 0.115455 0.926978i 0.0123781 0.0993824i
\(88\) −0.0357426 + 0.0215056i −0.00381017 + 0.00229251i
\(89\) −4.14733 + 2.49537i −0.439616 + 0.264508i −0.718110 0.695930i \(-0.754992\pi\)
0.278494 + 0.960438i \(0.410165\pi\)
\(90\) 11.0372 + 4.80129i 1.16342 + 0.506101i
\(91\) −1.05174 2.27329i −0.110252 0.238306i
\(92\) −3.82922 + 0.842875i −0.399224 + 0.0878758i
\(93\) 2.05234 + 1.12939i 0.212817 + 0.117112i
\(94\) 17.5208 + 8.10600i 1.80714 + 0.836070i
\(95\) 6.53053 + 1.81319i 0.670018 + 0.186030i
\(96\) −4.12690 0.976053i −0.421200 0.0996180i
\(97\) −5.33641 4.53279i −0.541831 0.460235i 0.334192 0.942505i \(-0.391537\pi\)
−0.876023 + 0.482270i \(0.839812\pi\)
\(98\) −0.871983 2.18851i −0.0880836 0.221073i
\(99\) 0.0344541 0.0380907i 0.00346277 0.00382825i
\(100\) −0.188027 0.677214i −0.0188027 0.0677214i
\(101\) −6.77199 + 2.28175i −0.673838 + 0.227042i −0.635359 0.772217i \(-0.719148\pi\)
−0.0384791 + 0.999259i \(0.512251\pi\)
\(102\) 2.63944 2.17208i 0.261343 0.215068i
\(103\) −16.8558 8.93636i −1.66085 0.880526i −0.990346 0.138617i \(-0.955734\pi\)
−0.670502 0.741908i \(-0.733921\pi\)
\(104\) −1.98482 + 1.68592i −0.194628 + 0.165318i
\(105\) −9.28549 + 4.73902i −0.906171 + 0.462481i
\(106\) −0.0373514 0.343440i −0.00362789 0.0333579i
\(107\) 0.214121 0.145178i 0.0206999 0.0140349i −0.550793 0.834642i \(-0.685675\pi\)
0.571493 + 0.820607i \(0.306364\pi\)
\(108\) 2.28352 0.140816i 0.219732 0.0135500i
\(109\) 11.8283 12.4870i 1.13295 1.19604i 0.154838 0.987940i \(-0.450514\pi\)
0.978108 0.208097i \(-0.0667271\pi\)
\(110\) −0.0685880 0.00371873i −0.00653960 0.000354567i
\(111\) 12.7617 + 8.94599i 1.21128 + 0.849116i
\(112\) 8.74373 6.64681i 0.826204 0.628064i
\(113\) −8.31220 0.904006i −0.781946 0.0850417i −0.291566 0.956551i \(-0.594176\pi\)
−0.490380 + 0.871509i \(0.663142\pi\)
\(114\) 6.99628 1.42609i 0.655262 0.133566i
\(115\) 21.2467 + 8.46545i 1.98126 + 0.789407i
\(116\) −0.122426 + 0.203473i −0.0113669 + 0.0188920i
\(117\) 1.73793 2.69468i 0.160671 0.249123i
\(118\) −11.9065 1.48782i −1.09608 0.136965i
\(119\) 2.96064i 0.271402i
\(120\) 7.33019 + 7.98394i 0.669151 + 0.728831i
\(121\) 4.07141 10.2185i 0.370128 0.928952i
\(122\) 16.9581 8.99060i 1.53531 0.813971i
\(123\) −10.5936 4.41335i −0.955194 0.397938i
\(124\) −0.360378 0.474069i −0.0323629 0.0425727i
\(125\) 2.79130 8.28427i 0.249661 0.740968i
\(126\) −6.44352 + 8.89373i −0.574034 + 0.792317i
\(127\) −10.0163 9.48791i −0.888799 0.841916i 0.0994064 0.995047i \(-0.468306\pi\)
−0.988206 + 0.153131i \(0.951064\pi\)
\(128\) −10.7988 8.20900i −0.954485 0.725580i
\(129\) −4.31116 13.4859i −0.379577 1.18737i
\(130\) −4.26312 + 0.463643i −0.373901 + 0.0406641i
\(131\) 15.4335 14.6193i 1.34843 1.27730i 0.419149 0.907918i \(-0.362329\pi\)
0.929278 0.369380i \(-0.120430\pi\)
\(132\) −0.0119336 + 0.00529694i −0.00103869 + 0.000461040i
\(133\) −2.89676 + 5.46386i −0.251181 + 0.473777i
\(134\) −11.1465 7.55748i −0.962907 0.652867i
\(135\) −11.4858 6.79519i −0.988544 0.584837i
\(136\) 2.96593 0.823487i 0.254327 0.0706134i
\(137\) −8.60459 1.41065i −0.735140 0.120520i −0.217430 0.976076i \(-0.569767\pi\)
−0.517710 + 0.855556i \(0.673216\pi\)
\(138\) 23.9910 2.23157i 2.04225 0.189964i
\(139\) −0.456235 + 0.537122i −0.0386974 + 0.0455581i −0.781170 0.624318i \(-0.785377\pi\)
0.742473 + 0.669876i \(0.233653\pi\)
\(140\) 2.64619 0.143472i 0.223644 0.0121256i
\(141\) −18.1667 11.3197i −1.52991 0.953294i
\(142\) −6.60882 + 14.2847i −0.554600 + 1.19875i
\(143\) −0.00393373 + 0.0178711i −0.000328955 + 0.00149446i
\(144\) 13.1779 + 4.90240i 1.09815 + 0.408533i
\(145\) 1.25714 0.581614i 0.104400 0.0483004i
\(146\) −1.07441 + 0.176140i −0.0889185 + 0.0145774i
\(147\) 0.659502 + 2.52743i 0.0543948 + 0.208459i
\(148\) −2.04252 3.39470i −0.167894 0.279042i
\(149\) 1.16494 + 7.10581i 0.0954355 + 0.582131i 0.990643 + 0.136481i \(0.0435791\pi\)
−0.895207 + 0.445650i \(0.852973\pi\)
\(150\) 0.632252 + 4.27250i 0.0516231 + 0.348849i
\(151\) 3.05382 + 13.8736i 0.248516 + 1.12902i 0.921200 + 0.389091i \(0.127211\pi\)
−0.672683 + 0.739931i \(0.734858\pi\)
\(152\) 6.27934 + 1.38219i 0.509322 + 0.112110i
\(153\) −3.20173 + 2.02816i −0.258844 + 0.163967i
\(154\) 0.0167675 0.0603911i 0.00135116 0.00486645i
\(155\) 0.188057 + 3.46851i 0.0151051 + 0.278597i
\(156\) −0.681706 + 0.446865i −0.0545802 + 0.0357778i
\(157\) −17.6500 + 7.03239i −1.40862 + 0.561246i −0.945667 0.325136i \(-0.894590\pi\)
−0.462954 + 0.886382i \(0.653210\pi\)
\(158\) −3.72643 + 22.7302i −0.296459 + 1.80832i
\(159\) −0.00596784 + 0.382993i −0.000473280 + 0.0303733i
\(160\) −2.00785 5.95910i −0.158735 0.471108i
\(161\) −11.7114 + 17.2730i −0.922984 + 1.36130i
\(162\) −14.0320 0.875656i −1.10246 0.0687980i
\(163\) 6.98990 + 8.22915i 0.547491 + 0.644557i 0.964418 0.264384i \(-0.0851686\pi\)
−0.416926 + 0.908940i \(0.636893\pi\)
\(164\) 2.00624 + 2.11796i 0.156661 + 0.165385i
\(165\) 0.0749552 + 0.0134907i 0.00583525 + 0.00105025i
\(166\) −3.72601 5.49545i −0.289194 0.426530i
\(167\) 2.45456 3.22892i 0.189940 0.249861i −0.691259 0.722607i \(-0.742944\pi\)
0.881199 + 0.472745i \(0.156737\pi\)
\(168\) −8.55253 + 4.96606i −0.659842 + 0.383140i
\(169\) 0.641957 11.8402i 0.0493813 0.910785i
\(170\) 4.80335 + 1.61844i 0.368400 + 0.124128i
\(171\) −7.89318 + 0.610321i −0.603606 + 0.0466724i
\(172\) −0.389133 + 3.57802i −0.0296711 + 0.272822i
\(173\) 4.38296 + 8.26715i 0.333231 + 0.628539i 0.992344 0.123504i \(-0.0394132\pi\)
−0.659114 + 0.752043i \(0.729068\pi\)
\(174\) 0.901101 1.14781i 0.0683123 0.0870152i
\(175\) −3.20535 1.92859i −0.242301 0.145788i
\(176\) −0.0802389 −0.00604824
\(177\) 12.8964 + 3.26863i 0.969350 + 0.245685i
\(178\) −7.56105 −0.566724
\(179\) −13.7586 8.27825i −1.02836 0.618746i −0.101769 0.994808i \(-0.532450\pi\)
−0.926594 + 0.376062i \(0.877278\pi\)
\(180\) 1.96790 + 2.76339i 0.146679 + 0.205971i
\(181\) 5.47022 + 10.3179i 0.406598 + 0.766926i 0.999258 0.0385274i \(-0.0122667\pi\)
−0.592659 + 0.805453i \(0.701922\pi\)
\(182\) 0.423055 3.88992i 0.0313589 0.288340i
\(183\) −19.8904 + 7.56814i −1.47034 + 0.559453i
\(184\) 20.5612 + 6.92789i 1.51580 + 0.510731i
\(185\) −1.25113 + 23.0758i −0.0919852 + 1.69657i
\(186\) 1.83755 + 3.16462i 0.134736 + 0.232041i
\(187\) 0.0130894 0.0172188i 0.000957190 0.00125916i
\(188\) 3.05355 + 4.50365i 0.222703 + 0.328463i
\(189\) 8.30834 8.90244i 0.604343 0.647557i
\(190\) 7.28105 + 7.68651i 0.528223 + 0.557638i
\(191\) −3.59094 4.22759i −0.259832 0.305897i 0.616742 0.787165i \(-0.288452\pi\)
−0.876573 + 0.481268i \(0.840176\pi\)
\(192\) 6.87347 + 6.71715i 0.496050 + 0.484768i
\(193\) −2.78380 + 4.10580i −0.200383 + 0.295542i −0.914582 0.404400i \(-0.867480\pi\)
0.714200 + 0.699942i \(0.246791\pi\)
\(194\) −3.49241 10.3651i −0.250740 0.744170i
\(195\) 4.75409 + 0.0740787i 0.340448 + 0.00530489i
\(196\) 0.107424 0.655256i 0.00767312 0.0468040i
\(197\) −10.2250 + 4.07402i −0.728502 + 0.290262i −0.704749 0.709456i \(-0.748941\pi\)
−0.0237522 + 0.999718i \(0.507561\pi\)
\(198\) 0.0767951 0.0232374i 0.00545759 0.00165141i
\(199\) −0.140116 2.58429i −0.00993257 0.183196i −0.999290 0.0376871i \(-0.988001\pi\)
0.989357 0.145508i \(-0.0464818\pi\)
\(200\) −1.04049 + 3.74750i −0.0735736 + 0.264988i
\(201\) 11.2284 + 9.84270i 0.791988 + 0.694250i
\(202\) −10.9022 2.39976i −0.767076 0.168846i
\(203\) 0.271702 + 1.23435i 0.0190697 + 0.0866346i
\(204\) 0.953077 0.141038i 0.0667287 0.00987462i
\(205\) −2.75306 16.7929i −0.192282 1.17287i
\(206\) −15.3650 25.5368i −1.07053 1.77923i
\(207\) −26.7022 0.832355i −1.85593 0.0578527i
\(208\) −4.94336 + 0.810422i −0.342760 + 0.0561927i
\(209\) 0.0410036 0.0189703i 0.00283628 0.00131220i
\(210\) −16.2456 1.13491i −1.12105 0.0783163i
\(211\) −2.79156 + 12.6822i −0.192179 + 0.873077i 0.777536 + 0.628838i \(0.216469\pi\)
−0.969715 + 0.244239i \(0.921462\pi\)
\(212\) 0.0408851 0.0883717i 0.00280800 0.00606939i
\(213\) 9.22899 14.8113i 0.632360 1.01485i
\(214\) 0.403531 0.0218788i 0.0275848 0.00149560i
\(215\) 13.5913 16.0009i 0.926920 1.09125i
\(216\) −11.2293 5.84701i −0.764054 0.397839i
\(217\) −3.12776 0.512771i −0.212326 0.0348092i
\(218\) 25.8893 7.18812i 1.75344 0.486841i
\(219\) 1.20627 0.0465664i 0.0815120 0.00314666i
\(220\) −0.0160243 0.0108647i −0.00108036 0.000732499i
\(221\) 0.632498 1.19302i 0.0425464 0.0802511i
\(222\) 9.87711 + 22.2524i 0.662908 + 1.49348i
\(223\) −16.3420 + 15.4800i −1.09434 + 1.03662i −0.0951914 + 0.995459i \(0.530346\pi\)
−0.999153 + 0.0411587i \(0.986895\pi\)
\(224\) 5.70415 0.620364i 0.381125 0.0414498i
\(225\) −0.110150 4.78752i −0.00734335 0.319168i
\(226\) −10.3981 7.90444i −0.691672 0.525796i
\(227\) −5.86751 5.55801i −0.389441 0.368898i 0.467782 0.883844i \(-0.345053\pi\)
−0.857223 + 0.514946i \(0.827812\pi\)
\(228\) 1.89690 + 0.672225i 0.125625 + 0.0445192i
\(229\) −1.00028 + 2.96873i −0.0661006 + 0.196179i −0.975613 0.219497i \(-0.929558\pi\)
0.909513 + 0.415676i \(0.136455\pi\)
\(230\) 21.6216 + 28.4427i 1.42569 + 1.87546i
\(231\) −0.0267245 + 0.0641483i −0.00175834 + 0.00422065i
\(232\) 1.16099 0.615516i 0.0762224 0.0404106i
\(233\) 2.72683 6.84383i 0.178641 0.448354i −0.812202 0.583376i \(-0.801731\pi\)
0.990843 + 0.135022i \(0.0431106\pi\)
\(234\) 4.49649 2.20725i 0.293945 0.144292i
\(235\) 31.7395i 2.07045i
\(236\) −2.65933 2.08947i −0.173107 0.136013i
\(237\) 7.21495 24.4986i 0.468661 1.59135i
\(238\) −2.38441 + 3.96293i −0.154559 + 0.256878i
\(239\) 17.1760 + 6.84356i 1.11103 + 0.442673i 0.852182 0.523246i \(-0.175279\pi\)
0.258844 + 0.965919i \(0.416658\pi\)
\(240\) 4.16409 + 20.4287i 0.268791 + 1.31866i
\(241\) 18.9024 + 2.05576i 1.21761 + 0.132423i 0.694280 0.719705i \(-0.255723\pi\)
0.523333 + 0.852128i \(0.324688\pi\)
\(242\) 13.6794 10.3988i 0.879344 0.668460i
\(243\) 15.3189 + 2.88636i 0.982708 + 0.185160i
\(244\) 5.40197 + 0.292886i 0.345826 + 0.0187501i
\(245\) −2.66361 + 2.81194i −0.170172 + 0.179648i
\(246\) −10.6255 14.4392i −0.677460 0.920610i
\(247\) 2.33455 1.58286i 0.148544 0.100715i
\(248\) 0.356284 + 3.27597i 0.0226240 + 0.208025i
\(249\) 3.34651 + 6.55705i 0.212076 + 0.415536i
\(250\) 10.4082 8.84077i 0.658270 0.559139i
\(251\) 8.33066 + 4.41664i 0.525827 + 0.278776i 0.710102 0.704099i \(-0.248649\pi\)
−0.184275 + 0.982875i \(0.558994\pi\)
\(252\) −2.84853 + 1.21160i −0.179441 + 0.0763239i
\(253\) 0.144478 0.0486803i 0.00908324 0.00306050i
\(254\) −5.76585 20.7667i −0.361781 1.30302i
\(255\) −5.06316 2.43894i −0.317067 0.152733i
\(256\) −3.73566 9.37579i −0.233479 0.585987i
\(257\) 18.0865 + 15.3628i 1.12820 + 0.958306i 0.999443 0.0333700i \(-0.0106240\pi\)
0.128761 + 0.991676i \(0.458900\pi\)
\(258\) 5.09051 21.5235i 0.316921 1.33999i
\(259\) −20.3180 5.64127i −1.26250 0.350532i
\(260\) −1.09696 0.507506i −0.0680304 0.0314742i
\(261\) −1.14874 + 1.13941i −0.0711052 + 0.0705275i
\(262\) 32.4322 7.13887i 2.00367 0.441041i
\(263\) −8.65725 18.7123i −0.533829 1.15385i −0.967521 0.252791i \(-0.918652\pi\)
0.433692 0.901061i \(-0.357211\pi\)
\(264\) 0.0716961 + 0.00892973i 0.00441259 + 0.000549587i
\(265\) −0.486677 + 0.292824i −0.0298963 + 0.0179880i
\(266\) −8.27784 + 4.98061i −0.507547 + 0.305381i
\(267\) 8.31914 + 1.03615i 0.509123 + 0.0634111i
\(268\) −1.59379 3.44491i −0.0973559 0.210431i
\(269\) −7.60235 + 1.67340i −0.463523 + 0.102029i −0.440591 0.897708i \(-0.645231\pi\)
−0.0229320 + 0.999737i \(0.507300\pi\)
\(270\) −9.90156 18.3460i −0.602590 1.11650i
\(271\) 9.26341 + 4.28571i 0.562712 + 0.260338i 0.680559 0.732694i \(-0.261737\pi\)
−0.117847 + 0.993032i \(0.537599\pi\)
\(272\) 5.70517 + 1.58403i 0.345927 + 0.0960461i
\(273\) −0.998537 + 4.22197i −0.0604342 + 0.255525i
\(274\) −10.3815 8.81809i −0.627167 0.532720i
\(275\) 0.0101154 + 0.0253877i 0.000609981 + 0.00153094i
\(276\) 6.11833 + 2.94722i 0.368280 + 0.177402i
\(277\) 5.09436 + 18.3482i 0.306090 + 1.10244i 0.943353 + 0.331791i \(0.107653\pi\)
−0.637263 + 0.770647i \(0.719933\pi\)
\(278\) −1.04327 + 0.351518i −0.0625711 + 0.0210827i
\(279\) −1.58812 3.73373i −0.0950780 0.223532i
\(280\) −12.9565 6.86909i −0.774297 0.410506i
\(281\) 4.79573 4.07353i 0.286089 0.243006i −0.492837 0.870121i \(-0.664040\pi\)
0.778927 + 0.627115i \(0.215764\pi\)
\(282\) −15.2002 29.7828i −0.905158 1.77354i
\(283\) 1.29189 + 11.8788i 0.0767952 + 0.706120i 0.967730 + 0.251989i \(0.0810847\pi\)
−0.890935 + 0.454131i \(0.849950\pi\)
\(284\) −3.67183 + 2.48956i −0.217883 + 0.147728i
\(285\) −6.95773 9.45496i −0.412140 0.560064i
\(286\) −0.0196583 + 0.0207530i −0.00116242 + 0.00122715i
\(287\) 15.5046 + 0.840636i 0.915208 + 0.0496212i
\(288\) 4.57845 + 5.74367i 0.269788 + 0.338449i
\(289\) 12.2630 9.32207i 0.721351 0.548357i
\(290\) 2.15114 + 0.233950i 0.126319 + 0.0137380i
\(291\) 2.42216 + 11.8829i 0.141989 + 0.696589i
\(292\) −0.285074 0.113584i −0.0166827 0.00664700i
\(293\) 8.09612 13.4559i 0.472980 0.786099i −0.524901 0.851163i \(-0.675898\pi\)
0.997881 + 0.0650641i \(0.0207252\pi\)
\(294\) −1.15275 + 3.91420i −0.0672298 + 0.228281i
\(295\) 5.99945 + 18.7932i 0.349302 + 1.09419i
\(296\) 21.9234i 1.27427i
\(297\) −0.0876792 + 0.0150434i −0.00508766 + 0.000872908i
\(298\) −4.16349 + 10.4496i −0.241185 + 0.605328i
\(299\) 8.40931 4.45833i 0.486323 0.257832i
\(300\) −0.468149 + 1.12372i −0.0270286 + 0.0648782i
\(301\) 11.5929 + 15.2502i 0.668203 + 0.879006i
\(302\) −7.08577 + 21.0298i −0.407740 + 1.21013i
\(303\) 11.6664 + 4.13437i 0.670219 + 0.237513i
\(304\) 8.97903 + 8.50539i 0.514982 + 0.487817i
\(305\) −25.1221 19.0973i −1.43849 1.09351i
\(306\) −5.91905 + 0.136184i −0.338369 + 0.00778513i
\(307\) −10.9542 + 1.19134i −0.625187 + 0.0679932i −0.415229 0.909717i \(-0.636298\pi\)
−0.209958 + 0.977710i \(0.567333\pi\)
\(308\) 0.0128250 0.0121485i 0.000730774 0.000692226i
\(309\) 13.4060 + 30.2027i 0.762641 + 1.71817i
\(310\) −2.54171 + 4.79417i −0.144359 + 0.272291i
\(311\) −18.4619 12.5175i −1.04688 0.709801i −0.0887245 0.996056i \(-0.528279\pi\)
−0.958153 + 0.286255i \(0.907589\pi\)
\(312\) 4.50724 0.173996i 0.255172 0.00985060i
\(313\) 6.65142 1.84676i 0.375960 0.104385i −0.0744076 0.997228i \(-0.523707\pi\)
0.450368 + 0.892843i \(0.351293\pi\)
\(314\) −29.2888 4.80165i −1.65286 0.270973i
\(315\) 17.7189 + 3.47496i 0.998348 + 0.195792i
\(316\) −4.20293 + 4.94807i −0.236433 + 0.278351i
\(317\) 21.6822 1.17557i 1.21779 0.0660267i 0.565987 0.824414i \(-0.308495\pi\)
0.651804 + 0.758387i \(0.274012\pi\)
\(318\) −0.316440 + 0.507844i −0.0177451 + 0.0284785i
\(319\) 0.00387704 0.00838009i 0.000217073 0.000469195i
\(320\) −3.06351 + 13.9177i −0.171256 + 0.778022i
\(321\) −0.446988 0.0312264i −0.0249485 0.00174289i
\(322\) −29.5872 + 13.6885i −1.64883 + 0.762830i
\(323\) −3.28995 + 0.539360i −0.183058 + 0.0300108i
\(324\) −3.26162 2.25049i −0.181201 0.125027i
\(325\) 0.879608 + 1.46192i 0.0487919 + 0.0810927i
\(326\) 2.72872 + 16.6445i 0.151130 + 0.921852i
\(327\) −29.4700 + 4.36102i −1.62970 + 0.241165i
\(328\) −3.47039 15.7661i −0.191620 0.870538i
\(329\) 28.2839 + 6.22575i 1.55934 + 0.343237i
\(330\) 0.0894652 + 0.0784244i 0.00492490 + 0.00431712i
\(331\) 4.83508 17.4144i 0.265760 0.957181i −0.703409 0.710785i \(-0.748340\pi\)
0.969169 0.246396i \(-0.0792464\pi\)
\(332\) −0.101314 1.86864i −0.00556035 0.102555i
\(333\) −7.81801 25.8370i −0.428424 1.41586i
\(334\) 5.88599 2.34519i 0.322067 0.128323i
\(335\) −3.58201 + 21.8493i −0.195706 + 1.19376i
\(336\) −19.0213 0.296392i −1.03770 0.0161695i
\(337\) 3.56981 + 10.5948i 0.194460 + 0.577136i 0.999879 0.0155696i \(-0.00495615\pi\)
−0.805419 + 0.592706i \(0.798060\pi\)
\(338\) 10.3950 15.3315i 0.565415 0.833925i
\(339\) 10.3575 + 10.1219i 0.562540 + 0.549746i
\(340\) 0.924876 + 1.08885i 0.0501585 + 0.0590511i
\(341\) 0.0159237 + 0.0168105i 0.000862317 + 0.000910337i
\(342\) −11.0568 5.53999i −0.597885 0.299568i
\(343\) −11.1893 16.5029i −0.604163 0.891074i
\(344\) 12.0529 15.8553i 0.649850 0.854863i
\(345\) −19.8917 34.2575i −1.07093 1.84436i
\(346\) −0.791360 + 14.5958i −0.0425438 + 0.784674i
\(347\) −20.2103 6.80964i −1.08494 0.365560i −0.280662 0.959807i \(-0.590554\pi\)
−0.804283 + 0.594246i \(0.797450\pi\)
\(348\) 0.384414 0.146266i 0.0206068 0.00784071i
\(349\) −0.515645 + 4.74127i −0.0276018 + 0.253795i 0.972205 + 0.234132i \(0.0752247\pi\)
−0.999807 + 0.0196627i \(0.993741\pi\)
\(350\) −2.73724 5.16298i −0.146312 0.275973i
\(351\) −5.24980 + 1.81236i −0.280213 + 0.0967369i
\(352\) −0.0359174 0.0216108i −0.00191441 0.00115186i
\(353\) −7.92947 −0.422043 −0.211021 0.977481i \(-0.567679\pi\)
−0.211021 + 0.977481i \(0.567679\pi\)
\(354\) 14.6298 + 14.7615i 0.777564 + 0.784566i
\(355\) 25.8772 1.37342
\(356\) −1.82606 1.09871i −0.0967812 0.0582313i
\(357\) 3.16655 4.03351i 0.167592 0.213476i
\(358\) −11.7493 22.1615i −0.620968 1.17127i
\(359\) 1.11870 10.2863i 0.0590429 0.542891i −0.926840 0.375456i \(-0.877486\pi\)
0.985883 0.167435i \(-0.0535483\pi\)
\(360\) −1.44726 18.7171i −0.0762771 0.986478i
\(361\) 11.4061 + 3.84316i 0.600320 + 0.202271i
\(362\) −0.987669 + 18.2165i −0.0519107 + 0.957437i
\(363\) −16.4759 + 9.56682i −0.864763 + 0.502128i
\(364\) 0.667422 0.877979i 0.0349824 0.0460186i
\(365\) 1.00453 + 1.48157i 0.0525795 + 0.0775489i
\(366\) −32.7191 5.88891i −1.71026 0.307818i
\(367\) −3.54410 3.74146i −0.185001 0.195303i 0.626898 0.779101i \(-0.284324\pi\)
−0.811898 + 0.583799i \(0.801566\pi\)
\(368\) 27.0191 + 31.8093i 1.40847 + 1.65818i
\(369\) 9.71218 + 17.3430i 0.505596 + 0.902841i
\(370\) −20.2592 + 29.8801i −1.05323 + 1.55339i
\(371\) −0.165480 0.491128i −0.00859132 0.0254981i
\(372\) −0.0160698 + 1.03130i −0.000833183 + 0.0534705i
\(373\) −0.223391 + 1.36263i −0.0115668 + 0.0705541i −0.991979 0.126402i \(-0.959657\pi\)
0.980412 + 0.196956i \(0.0631055\pi\)
\(374\) 0.0313881 0.0125062i 0.00162304 0.000646678i
\(375\) −12.6632 + 8.30086i −0.653926 + 0.428655i
\(376\) −1.63013 30.0660i −0.0840677 1.55054i
\(377\) 0.154217 0.555439i 0.00794257 0.0286066i
\(378\) 18.2908 5.22495i 0.940776 0.268742i
\(379\) 22.0426 + 4.85194i 1.13225 + 0.249228i 0.741294 0.671181i \(-0.234213\pi\)
0.390959 + 0.920408i \(0.372144\pi\)
\(380\) 0.641505 + 2.91439i 0.0329085 + 0.149505i
\(381\) 3.49813 + 23.6390i 0.179215 + 1.21106i
\(382\) −1.40183 8.55081i −0.0717241 0.437498i
\(383\) −4.94380 8.21666i −0.252616 0.419852i 0.704436 0.709768i \(-0.251200\pi\)
−0.957052 + 0.289916i \(0.906373\pi\)
\(384\) 5.93204 + 22.7335i 0.302718 + 1.16012i
\(385\) −0.101687 + 0.0166708i −0.00518247 + 0.000849622i
\(386\) −7.03291 + 3.25377i −0.357966 + 0.165613i
\(387\) −8.55042 + 22.9839i −0.434642 + 1.16834i
\(388\) 0.662717 3.01075i 0.0336444 0.152848i
\(389\) −10.8374 + 23.4246i −0.549476 + 1.18767i 0.411593 + 0.911368i \(0.364972\pi\)
−0.961070 + 0.276306i \(0.910890\pi\)
\(390\) 6.30386 + 3.92796i 0.319208 + 0.198900i
\(391\) −11.2337 + 0.609075i −0.568114 + 0.0308022i
\(392\) −2.37875 + 2.80048i −0.120145 + 0.141446i
\(393\) −36.6622 + 3.41021i −1.84937 + 0.172022i
\(394\) −16.9676 2.78170i −0.854817 0.140140i
\(395\) 36.4892 10.1312i 1.83597 0.509755i
\(396\) 0.0219234 + 0.00554716i 0.00110169 + 0.000278755i
\(397\) −12.1861 8.26240i −0.611604 0.414678i 0.215678 0.976465i \(-0.430804\pi\)
−0.827282 + 0.561787i \(0.810114\pi\)
\(398\) 1.89376 3.57201i 0.0949256 0.179049i
\(399\) 9.79034 4.34561i 0.490130 0.217553i
\(400\) −5.43136 + 5.14486i −0.271568 + 0.257243i
\(401\) 16.7871 1.82571i 0.838310 0.0911717i 0.321116 0.947040i \(-0.395942\pi\)
0.517194 + 0.855868i \(0.326977\pi\)
\(402\) 7.10256 + 22.2178i 0.354243 + 1.10812i
\(403\) 1.15081 + 0.874827i 0.0573262 + 0.0435782i
\(404\) −2.28427 2.16378i −0.113647 0.107652i
\(405\) 8.38024 + 21.5423i 0.416417 + 1.07044i
\(406\) −0.630429 + 1.87105i −0.0312877 + 0.0928585i
\(407\) 0.0932267 + 0.122638i 0.00462108 + 0.00607892i
\(408\) −4.92147 2.05031i −0.243649 0.101505i
\(409\) 3.05299 1.61859i 0.150961 0.0800343i −0.391216 0.920299i \(-0.627945\pi\)
0.542176 + 0.840265i \(0.317600\pi\)
\(410\) 9.83944 24.6951i 0.485935 1.21961i
\(411\) 10.2139 + 11.1249i 0.503816 + 0.548749i
\(412\) 8.40007i 0.413842i
\(413\) −17.9240 + 1.65994i −0.881980 + 0.0816804i
\(414\) −35.0715 22.6193i −1.72367 1.11168i
\(415\) −5.62779 + 9.35346i −0.276257 + 0.459143i
\(416\) −2.43107 0.968628i −0.119193 0.0474909i
\(417\) 1.19604 0.243796i 0.0585704 0.0119387i
\(418\) 0.0701630 + 0.00763068i 0.00343178 + 0.000373229i
\(419\) 8.40496 6.38929i 0.410609 0.312137i −0.379399 0.925233i \(-0.623869\pi\)
0.790008 + 0.613096i \(0.210076\pi\)
\(420\) −3.75855 2.63477i −0.183399 0.128563i
\(421\) 0.170134 + 0.00922441i 0.00829183 + 0.000449570i 0.0582844 0.998300i \(-0.481437\pi\)
−0.0499925 + 0.998750i \(0.515920\pi\)
\(422\) −13.9505 + 14.7273i −0.679097 + 0.716914i
\(423\) 12.6428 + 34.8519i 0.614716 + 1.69456i
\(424\) −0.445978 + 0.302381i −0.0216586 + 0.0146849i
\(425\) −0.218037 2.00482i −0.0105764 0.0972479i
\(426\) 24.2819 12.3927i 1.17646 0.600429i
\(427\) 21.9458 18.6410i 1.06203 0.902100i
\(428\) 0.100636 + 0.0533537i 0.00486441 + 0.00257895i
\(429\) 0.0244732 0.0201398i 0.00118158 0.000972360i
\(430\) 31.0791 10.4718i 1.49877 0.504994i
\(431\) −5.65260 20.3588i −0.272276 0.980651i −0.965602 0.260026i \(-0.916269\pi\)
0.693325 0.720625i \(-0.256145\pi\)
\(432\) −12.7098 20.7733i −0.611502 0.999454i
\(433\) −2.49600 6.26448i −0.119950 0.301052i 0.856725 0.515773i \(-0.172495\pi\)
−0.976675 + 0.214721i \(0.931116\pi\)
\(434\) −3.77365 3.20537i −0.181141 0.153863i
\(435\) −2.33476 0.552194i −0.111943 0.0264757i
\(436\) 7.29702 + 2.02601i 0.349464 + 0.0970281i
\(437\) −21.3277 9.86726i −1.02024 0.472015i
\(438\) 1.65213 + 0.909161i 0.0789420 + 0.0434414i
\(439\) −38.8850 + 8.55924i −1.85588 + 0.408510i −0.994964 0.100234i \(-0.968041\pi\)
−0.860918 + 0.508744i \(0.830110\pi\)
\(440\) 0.0449843 + 0.0972320i 0.00214454 + 0.00463536i
\(441\) 1.80472 4.14868i 0.0859392 0.197556i
\(442\) 1.80744 1.08750i 0.0859713 0.0517272i
\(443\) 4.28896 2.58058i 0.203775 0.122607i −0.410009 0.912082i \(-0.634474\pi\)
0.613783 + 0.789474i \(0.289647\pi\)
\(444\) −0.848112 + 6.80942i −0.0402496 + 0.323161i
\(445\) 5.21968 + 11.2822i 0.247437 + 0.534825i
\(446\) −34.3415 + 7.55914i −1.62612 + 0.357936i
\(447\) 6.01292 10.9267i 0.284402 0.516817i
\(448\) −11.8015 5.45996i −0.557569 0.257959i
\(449\) −13.3555 3.70814i −0.630286 0.174998i −0.0623283 0.998056i \(-0.519853\pi\)
−0.567958 + 0.823058i \(0.692266\pi\)
\(450\) 3.70829 6.49698i 0.174810 0.306270i
\(451\) −0.0864566 0.0734369i −0.00407108 0.00345801i
\(452\) −1.36264 3.41996i −0.0640931 0.160861i
\(453\) 10.6781 22.1673i 0.501700 1.04151i
\(454\) −3.37763 12.1651i −0.158520 0.570937i
\(455\) −6.09637 + 2.05411i −0.285802 + 0.0962980i
\(456\) −7.07650 8.59911i −0.331387 0.402690i
\(457\) −0.336788 0.178554i −0.0157543 0.00835238i 0.460513 0.887653i \(-0.347666\pi\)
−0.476267 + 0.879301i \(0.658010\pi\)
\(458\) −3.72984 + 3.16816i −0.174284 + 0.148038i
\(459\) 6.53117 + 0.661293i 0.304849 + 0.0308665i
\(460\) 1.08877 + 10.0111i 0.0507641 + 0.466768i
\(461\) −23.5906 + 15.9948i −1.09872 + 0.744952i −0.969114 0.246613i \(-0.920682\pi\)
−0.129608 + 0.991565i \(0.541372\pi\)
\(462\) −0.0874348 + 0.0643417i −0.00406784 + 0.00299345i
\(463\) 24.6516 26.0244i 1.14566 1.20946i 0.171115 0.985251i \(-0.445263\pi\)
0.974542 0.224204i \(-0.0719783\pi\)
\(464\) 2.52397 + 0.136846i 0.117172 + 0.00635290i
\(465\) 3.45353 4.92654i 0.160154 0.228463i
\(466\) 9.16178 6.96460i 0.424411 0.322629i
\(467\) −9.32083 1.01370i −0.431317 0.0469085i −0.110114 0.993919i \(-0.535122\pi\)
−0.321203 + 0.947010i \(0.604087\pi\)
\(468\) 1.40668 + 0.120320i 0.0650239 + 0.00556181i
\(469\) −18.7679 7.47781i −0.866620 0.345293i
\(470\) 25.5620 42.4844i 1.17909 1.95966i
\(471\) 31.5674 + 9.29674i 1.45455 + 0.428371i
\(472\) 6.64836 + 17.4943i 0.306015 + 0.805239i
\(473\) 0.139947i 0.00643477i
\(474\) 29.3879 26.9815i 1.34983 1.23930i
\(475\) 1.55917 3.91322i 0.0715396 0.179551i
\(476\) −1.15172 + 0.610602i −0.0527889 + 0.0279869i
\(477\) 0.417760 0.515398i 0.0191279 0.0235984i
\(478\) 17.4791 + 22.9934i 0.799478 + 1.05169i
\(479\) −4.05337 + 12.0300i −0.185203 + 0.549663i −0.999527 0.0307471i \(-0.990211\pi\)
0.814324 + 0.580411i \(0.197108\pi\)
\(480\) −3.63809 + 10.2660i −0.166056 + 0.468578i
\(481\) 6.98216 + 6.61385i 0.318359 + 0.301566i
\(482\) 23.6459 + 17.9752i 1.07704 + 0.818747i
\(483\) 34.4295 11.0064i 1.56660 0.500808i
\(484\) 4.81476 0.523637i 0.218853 0.0238017i
\(485\) −13.0552 + 12.3666i −0.592808 + 0.561538i
\(486\) 18.1803 + 16.2009i 0.824676 + 0.734887i
\(487\) −6.72209 + 12.6792i −0.304607 + 0.574550i −0.987807 0.155681i \(-0.950243\pi\)
0.683200 + 0.730231i \(0.260588\pi\)
\(488\) −24.7784 16.8002i −1.12166 0.760507i
\(489\) −0.721396 18.6872i −0.0326227 0.845065i
\(490\) −5.82998 + 1.61869i −0.263372 + 0.0731248i
\(491\) 27.8835 + 4.57128i 1.25837 + 0.206299i 0.753817 0.657084i \(-0.228210\pi\)
0.504549 + 0.863383i \(0.331659\pi\)
\(492\) −0.467988 5.03122i −0.0210985 0.226825i
\(493\) −0.441102 + 0.519305i −0.0198662 + 0.0233883i
\(494\) 4.39967 0.238543i 0.197950 0.0107326i
\(495\) −0.0876881 0.0985476i −0.00394129 0.00442938i
\(496\) −2.66156 + 5.75286i −0.119507 + 0.258311i
\(497\) −5.07585 + 23.0598i −0.227683 + 1.03437i
\(498\) −0.801430 + 11.4720i −0.0359129 + 0.514073i
\(499\) 25.1597 11.6401i 1.12630 0.521083i 0.233872 0.972267i \(-0.424860\pi\)
0.892431 + 0.451184i \(0.148998\pi\)
\(500\) 3.79833 0.622705i 0.169867 0.0278482i
\(501\) −6.79752 + 1.77373i −0.303691 + 0.0792444i
\(502\) 7.59386 + 12.6211i 0.338930 + 0.563307i
\(503\) 0.779626 + 4.75551i 0.0347618 + 0.212038i 0.998496 0.0548269i \(-0.0174607\pi\)
−0.963734 + 0.266864i \(0.914012\pi\)
\(504\) 16.9632 + 2.38170i 0.755600 + 0.106090i
\(505\) 3.94543 + 17.9243i 0.175569 + 0.797620i
\(506\) 0.232594 + 0.0511979i 0.0103401 + 0.00227602i
\(507\) −13.5383 + 15.4442i −0.601255 + 0.685901i
\(508\) 1.62513 5.85320i 0.0721036 0.259694i
\(509\) −2.36620 43.6419i −0.104880 1.93439i −0.300630 0.953741i \(-0.597197\pi\)
0.195750 0.980654i \(-0.437286\pi\)
\(510\) −4.81296 7.34233i −0.213122 0.325124i
\(511\) −1.51731 + 0.604550i −0.0671217 + 0.0267437i
\(512\) −1.83837 + 11.2136i −0.0812454 + 0.495575i
\(513\) 11.4062 + 7.61065i 0.503598 + 0.336018i
\(514\) 11.8367 + 35.1300i 0.522093 + 1.54952i
\(515\) −27.4975 + 40.5557i −1.21168 + 1.78710i
\(516\) 4.35701 4.45841i 0.191807 0.196271i
\(517\) −0.136971 0.161255i −0.00602398 0.00709198i
\(518\) −22.6531 23.9146i −0.995320 1.05075i
\(519\) 2.87087 15.9507i 0.126017 0.700160i
\(520\) 3.75345 + 5.53592i 0.164600 + 0.242766i
\(521\) 18.1866 23.9241i 0.796771 1.04813i −0.200879 0.979616i \(-0.564380\pi\)
0.997650 0.0685182i \(-0.0218271\pi\)
\(522\) −2.45527 + 0.599976i −0.107464 + 0.0262602i
\(523\) 0.729564 13.4560i 0.0319016 0.588390i −0.938260 0.345931i \(-0.887563\pi\)
0.970162 0.242459i \(-0.0779541\pi\)
\(524\) 8.87004 + 2.98867i 0.387490 + 0.130560i
\(525\) 2.30416 + 6.05574i 0.100562 + 0.264294i
\(526\) 3.48232 32.0194i 0.151836 1.39611i
\(527\) −0.800349 1.50962i −0.0348638 0.0657600i
\(528\) 0.109316 + 0.0858194i 0.00475735 + 0.00373481i
\(529\) −48.2412 29.0258i −2.09744 1.26199i
\(530\) −0.887266 −0.0385404
\(531\) −14.0737 18.2464i −0.610748 0.791825i
\(532\) −2.72292 −0.118053
\(533\) −6.06813 3.65107i −0.262840 0.158146i
\(534\) 10.3010 + 8.08690i 0.445767 + 0.349955i
\(535\) −0.311219 0.587022i −0.0134552 0.0253792i
\(536\) −2.27098 + 20.8813i −0.0980913 + 0.901935i
\(537\) 9.89033 + 25.9935i 0.426799 + 1.12170i
\(538\) −11.5237 3.88279i −0.496823 0.167399i
\(539\) −0.00139781 + 0.0257810i −6.02078e−5 + 0.00111047i
\(540\) 0.274557 5.86953i 0.0118150 0.252584i
\(541\) −13.0052 + 17.1081i −0.559137 + 0.735533i −0.985623 0.168962i \(-0.945959\pi\)
0.426485 + 0.904495i \(0.359752\pi\)
\(542\) 8.94782 + 13.1970i 0.384342 + 0.566862i
\(543\) 3.58303 19.9076i 0.153763 0.854315i
\(544\) 2.12718 + 2.24564i 0.0912022 + 0.0962810i
\(545\) −28.5981 33.6682i −1.22501 1.44219i
\(546\) −4.73682 + 4.84706i −0.202717 + 0.207435i
\(547\) 10.5316 15.5329i 0.450298 0.664140i −0.533006 0.846112i \(-0.678938\pi\)
0.983304 + 0.181971i \(0.0582478\pi\)
\(548\) −1.22585 3.63820i −0.0523658 0.155416i
\(549\) 35.1927 + 10.9631i 1.50199 + 0.467893i
\(550\) −0.00690670 + 0.0421290i −0.000294503 + 0.00179639i
\(551\) −1.32215 + 0.526793i −0.0563255 + 0.0224421i
\(552\) −20.6024 31.4296i −0.876897 1.33773i
\(553\) 1.87074 + 34.5038i 0.0795519 + 1.46725i
\(554\) −7.95813 + 28.6626i −0.338108 + 1.21776i
\(555\) 26.3852 30.0997i 1.11999 1.27766i
\(556\) −0.303039 0.0667039i −0.0128517 0.00282888i
\(557\) 2.64226 + 12.0039i 0.111956 + 0.508623i 0.998906 + 0.0467571i \(0.0148887\pi\)
−0.886950 + 0.461865i \(0.847180\pi\)
\(558\) 0.881282 6.27675i 0.0373076 0.265716i
\(559\) −1.41348 8.62185i −0.0597839 0.364665i
\(560\) −14.5431 24.1707i −0.614556 1.02140i
\(561\) −0.0362490 + 0.00945872i −0.00153043 + 0.000399348i
\(562\) 9.69995 1.59023i 0.409168 0.0670796i
\(563\) −0.523115 + 0.242019i −0.0220467 + 0.0101999i −0.430881 0.902409i \(-0.641797\pi\)
0.408835 + 0.912608i \(0.365935\pi\)
\(564\) 0.656791 9.40159i 0.0276559 0.395878i
\(565\) −4.61633 + 20.9722i −0.194211 + 0.882307i
\(566\) −7.83757 + 16.9406i −0.329437 + 0.712067i
\(567\) −20.8407 + 3.24230i −0.875226 + 0.136164i
\(568\) 24.5128 1.32905i 1.02854 0.0557656i
\(569\) 5.42428 6.38596i 0.227398 0.267713i −0.636617 0.771180i \(-0.719667\pi\)
0.864014 + 0.503467i \(0.167942\pi\)
\(570\) −1.69843 18.2594i −0.0711393 0.764800i
\(571\) 1.85400 + 0.303949i 0.0775877 + 0.0127199i 0.200451 0.979704i \(-0.435759\pi\)
−0.122863 + 0.992424i \(0.539208\pi\)
\(572\) −0.00776331 + 0.00215547i −0.000324600 + 9.01248e-5i
\(573\) 0.370605 + 9.60025i 0.0154823 + 0.401056i
\(574\) 20.0765 + 13.6122i 0.837975 + 0.568161i
\(575\) 6.65834 12.5590i 0.277672 0.523745i
\(576\) −2.17993 16.5028i −0.0908305 0.687616i
\(577\) 11.5419 10.9331i 0.480495 0.455149i −0.408706 0.912666i \(-0.634020\pi\)
0.889201 + 0.457517i \(0.151261\pi\)
\(578\) 23.9221 2.60169i 0.995030 0.108216i
\(579\) 8.18394 2.61623i 0.340113 0.108727i
\(580\) 0.485525 + 0.369086i 0.0201603 + 0.0153255i
\(581\) −7.23121 6.84977i −0.300001 0.284176i
\(582\) −6.32800 + 17.8564i −0.262304 + 0.740173i
\(583\) −0.00120892 + 0.00358796i −5.00685e−5 + 0.000148598i
\(584\) 1.02766 + 1.35186i 0.0425249 + 0.0559405i
\(585\) −6.39763 5.18565i −0.264509 0.214400i
\(586\) 21.6739 11.4908i 0.895340 0.474679i
\(587\) 3.87852 9.73435i 0.160084 0.401779i −0.826954 0.562270i \(-0.809928\pi\)
0.987037 + 0.160490i \(0.0513076\pi\)
\(588\) −0.847179 + 0.777809i −0.0349371 + 0.0320763i
\(589\) 3.56908i 0.147061i
\(590\) −7.10504 + 29.9872i −0.292510 + 1.23455i
\(591\) 18.2877 + 5.38580i 0.752254 + 0.221542i
\(592\) −21.7415 + 36.1347i −0.893570 + 1.48513i
\(593\) 6.25110 + 2.49067i 0.256702 + 0.102279i 0.494939 0.868928i \(-0.335190\pi\)
−0.238237 + 0.971207i \(0.576570\pi\)
\(594\) −0.129477 0.0504781i −0.00531252 0.00207114i
\(595\) 7.55931 + 0.822124i 0.309901 + 0.0337038i
\(596\) −2.52397 + 1.91867i −0.103386 + 0.0785918i
\(597\) −2.57313 + 3.67064i −0.105311 + 0.150229i
\(598\) 14.8468 + 0.804968i 0.607129 + 0.0329176i
\(599\) 7.75958 8.19169i 0.317048 0.334703i −0.547920 0.836531i \(-0.684580\pi\)
0.864968 + 0.501827i \(0.167339\pi\)
\(600\) 5.42567 3.99265i 0.221502 0.162999i
\(601\) −15.9203 + 10.7942i −0.649401 + 0.440305i −0.840902 0.541187i \(-0.817975\pi\)
0.191501 + 0.981492i \(0.438665\pi\)
\(602\) 3.23545 + 29.7495i 0.131867 + 1.21250i
\(603\) −4.77001 25.4187i −0.194250 1.03513i
\(604\) −4.76715 + 4.04926i −0.193973 + 0.164762i
\(605\) −24.9599 13.2329i −1.01476 0.537994i
\(606\) 12.2862 + 14.9298i 0.499094 + 0.606482i
\(607\) −40.5048 + 13.6476i −1.64404 + 0.553941i −0.980893 0.194550i \(-0.937675\pi\)
−0.663145 + 0.748491i \(0.730779\pi\)
\(608\) 1.72853 + 6.22560i 0.0701012 + 0.252482i
\(609\) 0.950041 1.97225i 0.0384976 0.0799196i
\(610\) −18.2464 45.7950i −0.738775 1.85418i
\(611\) −10.0672 8.55116i −0.407275 0.345943i
\(612\) −1.44929 0.827215i −0.0585843 0.0334382i
\(613\) −18.7805 5.21439i −0.758539 0.210607i −0.133337 0.991071i \(-0.542569\pi\)
−0.625201 + 0.780463i \(0.714983\pi\)
\(614\) −15.6220 7.22751i −0.630453 0.291678i
\(615\) −14.2101 + 25.8228i −0.573008 + 1.04127i
\(616\) −0.0954698 + 0.0210145i −0.00384659 + 0.000846698i
\(617\) 16.3211 + 35.2776i 0.657064 + 1.42022i 0.893719 + 0.448627i \(0.148087\pi\)
−0.236655 + 0.971594i \(0.576051\pi\)
\(618\) −6.37996 + 51.2242i −0.256640 + 2.06054i
\(619\) 9.15162 5.50635i 0.367835 0.221319i −0.319621 0.947546i \(-0.603555\pi\)
0.687455 + 0.726227i \(0.258728\pi\)
\(620\) −1.31050 + 0.788499i −0.0526308 + 0.0316669i
\(621\) 35.4882 + 29.6933i 1.42409 + 1.19155i
\(622\) −14.6307 31.6237i −0.586638 1.26800i
\(623\) −11.0777 + 2.43838i −0.443818 + 0.0976916i
\(624\) 7.60149 + 4.18306i 0.304303 + 0.167456i
\(625\) −27.6205 12.7786i −1.10482 0.511144i
\(626\) 10.3905 + 2.88490i 0.415287 + 0.115304i
\(627\) −0.0761520 0.0180107i −0.00304122 0.000719278i
\(628\) −6.37579 5.41564i −0.254422 0.216108i
\(629\) −4.20759 10.5602i −0.167767 0.421064i
\(630\) 20.9188 + 18.9216i 0.833424 + 0.753857i
\(631\) −5.99479 21.5913i −0.238649 0.859535i −0.981721 0.190324i \(-0.939046\pi\)
0.743072 0.669211i \(-0.233368\pi\)
\(632\) 34.0450 11.4711i 1.35424 0.456296i
\(633\) 17.3674 14.2922i 0.690290 0.568063i
\(634\) 29.9691 + 15.8886i 1.19023 + 0.631018i
\(635\) −27.0065 + 22.9395i −1.07172 + 0.910327i
\(636\) −0.150219 + 0.0766668i −0.00595656 + 0.00304004i
\(637\) 0.174275 + 1.60243i 0.00690503 + 0.0634907i
\(638\) 0.0119386 0.00809460i 0.000472655 0.000320468i
\(639\) −28.4148 + 10.3077i −1.12407 + 0.407767i
\(640\) −23.9584 + 25.2926i −0.947039 + 0.999777i
\(641\) 29.7216 + 1.61146i 1.17393 + 0.0636487i 0.630763 0.775975i \(-0.282742\pi\)
0.543168 + 0.839624i \(0.317225\pi\)
\(642\) −0.573161 0.401789i −0.0226209 0.0158573i
\(643\) −3.33435 + 2.53471i −0.131494 + 0.0999591i −0.668854 0.743394i \(-0.733215\pi\)
0.537360 + 0.843353i \(0.319422\pi\)
\(644\) −9.13468 0.993456i −0.359957 0.0391477i
\(645\) −35.6302 + 7.26271i −1.40294 + 0.285969i
\(646\) −4.83810 1.92768i −0.190353 0.0758434i
\(647\) 20.1341 33.4631i 0.791553 1.31557i −0.153334 0.988174i \(-0.549001\pi\)
0.944887 0.327397i \(-0.106172\pi\)
\(648\) 9.04480 + 19.9761i 0.355313 + 0.784734i
\(649\) 0.111583 + 0.0695900i 0.00438000 + 0.00273165i
\(650\) 2.66524i 0.104539i
\(651\) 3.71276 + 4.04388i 0.145514 + 0.158492i
\(652\) −1.75962 + 4.41631i −0.0689120 + 0.172956i
\(653\) 7.56946 4.01308i 0.296216 0.157044i −0.313672 0.949531i \(-0.601559\pi\)
0.609888 + 0.792488i \(0.291214\pi\)
\(654\) −42.9589 17.8969i −1.67983 0.699824i
\(655\) −33.0414 43.4652i −1.29103 1.69833i
\(656\) 9.91533 29.4277i 0.387129 1.14896i
\(657\) −1.69319 1.22672i −0.0660578 0.0478589i
\(658\) 32.8449 + 31.1124i 1.28043 + 1.21289i
\(659\) −31.5099 23.9532i −1.22745 0.933083i −0.228271 0.973598i \(-0.573307\pi\)
−0.999179 + 0.0405142i \(0.987100\pi\)
\(660\) 0.0102107 + 0.0319406i 0.000397452 + 0.00124328i
\(661\) 29.5038 3.20873i 1.14757 0.124805i 0.485490 0.874242i \(-0.338641\pi\)
0.662076 + 0.749437i \(0.269676\pi\)
\(662\) 20.4969 19.4157i 0.796637 0.754614i
\(663\) −2.13769 + 0.948851i −0.0830210 + 0.0368503i
\(664\) −4.85068 + 9.14935i −0.188243 + 0.355064i
\(665\) 13.1463 + 8.91341i 0.509792 + 0.345647i
\(666\) 10.3437 40.8802i 0.400810 1.58407i
\(667\) −4.62767 + 1.28487i −0.179184 + 0.0497502i
\(668\) 1.76231 + 0.288916i 0.0681857 + 0.0111785i
\(669\) 38.8206 3.61097i 1.50089 0.139608i
\(670\) −22.3914 + 26.3612i −0.865057 + 1.01842i
\(671\) −0.210049 + 0.0113885i −0.00810884 + 0.000439649i
\(672\) −8.43471 5.25570i −0.325376 0.202743i
\(673\) −13.3186 + 28.7878i −0.513396 + 1.10969i 0.461523 + 0.887128i \(0.347303\pi\)
−0.974919 + 0.222559i \(0.928559\pi\)
\(674\) −3.75443 + 17.0566i −0.144615 + 0.656994i
\(675\) −4.97042 + 6.64021i −0.191312 + 0.255582i
\(676\) 4.73834 2.19219i 0.182244 0.0843150i
\(677\) −1.73924 + 0.285135i −0.0668446 + 0.0109586i −0.195111 0.980781i \(-0.562507\pi\)
0.128267 + 0.991740i \(0.459059\pi\)
\(678\) 5.71195 + 21.8901i 0.219366 + 0.840684i
\(679\) −8.45938 14.0596i −0.324641 0.539558i
\(680\) −1.27899 7.80147i −0.0490469 0.299173i
\(681\) 2.04920 + 13.8477i 0.0785256 + 0.530644i
\(682\) 0.00777581 + 0.0353259i 0.000297751 + 0.00135270i
\(683\) 10.5363 + 2.31922i 0.403161 + 0.0887425i 0.411922 0.911219i \(-0.364858\pi\)
−0.00876074 + 0.999962i \(0.502789\pi\)
\(684\) −1.86531 2.94464i −0.0713217 0.112591i
\(685\) −5.99112 + 21.5781i −0.228909 + 0.824456i
\(686\) −1.68626 31.1012i −0.0643817 1.18745i
\(687\) 4.53797 2.97468i 0.173134 0.113491i
\(688\) 35.5897 14.1802i 1.35684 0.540616i
\(689\) −0.0382406 + 0.233257i −0.00145685 + 0.00888639i
\(690\) 0.964142 61.8750i 0.0367043 2.35554i
\(691\) 7.85135 + 23.3020i 0.298679 + 0.886449i 0.986955 + 0.160999i \(0.0514717\pi\)
−0.688275 + 0.725450i \(0.741632\pi\)
\(692\) −2.31205 + 3.41002i −0.0878911 + 0.129630i
\(693\) 0.105019 0.0588109i 0.00398932 0.00223404i
\(694\) −21.5679 25.3917i −0.818706 0.963856i
\(695\) 1.24472 + 1.31404i 0.0472151 + 0.0498444i
\(696\) −2.24002 0.403167i −0.0849078 0.0152820i
\(697\) 4.69751 + 6.92831i 0.177931 + 0.262428i
\(698\) −4.50869 + 5.93108i −0.170656 + 0.224495i
\(699\) −11.0348 + 6.40739i −0.417374 + 0.242350i
\(700\) 0.0891709 1.64466i 0.00337034 0.0621624i
\(701\) 27.9576 + 9.42000i 1.05594 + 0.355789i 0.793126 0.609057i \(-0.208452\pi\)
0.262817 + 0.964846i \(0.415349\pi\)
\(702\) −8.48666 1.80211i −0.320308 0.0680164i
\(703\) 2.56727 23.6057i 0.0968266 0.890306i
\(704\) 0.0444971 + 0.0839304i 0.00167705 + 0.00316325i
\(705\) −33.9469 + 43.2411i −1.27851 + 1.62855i
\(706\) −10.6139 6.38616i −0.399458 0.240346i
\(707\) −16.7467 −0.629824
\(708\) 1.38821 + 5.69092i 0.0521723 + 0.213878i
\(709\) −16.8183 −0.631626 −0.315813 0.948821i \(-0.602277\pi\)
−0.315813 + 0.948821i \(0.602277\pi\)
\(710\) 34.6375 + 20.8407i 1.29992 + 0.782138i
\(711\) −36.0319 + 25.6595i −1.35130 + 0.962307i
\(712\) 5.52393 + 10.4192i 0.207018 + 0.390477i
\(713\) 1.30218 11.9733i 0.0487669 0.448404i
\(714\) 7.48701 2.84875i 0.280194 0.106612i
\(715\) 0.0445373 + 0.0150064i 0.00166560 + 0.000561206i
\(716\) 0.382755 7.05951i 0.0143042 0.263826i
\(717\) −16.0807 27.6941i −0.600545 1.03426i
\(718\) 9.78171 12.8676i 0.365050 0.480215i
\(719\) 18.1346 + 26.7465i 0.676306 + 0.997477i 0.998705 + 0.0508734i \(0.0162005\pi\)
−0.322399 + 0.946604i \(0.604489\pi\)
\(720\) 16.1764 32.2852i 0.602859 1.20320i
\(721\) −30.7466 32.4588i −1.14506 1.20883i
\(722\) 12.1723 + 14.3303i 0.453006 + 0.533320i
\(723\) −23.5535 23.0178i −0.875963 0.856041i
\(724\) −2.88559 + 4.25593i −0.107242 + 0.158170i
\(725\) −0.274889 0.815840i −0.0102091 0.0302995i
\(726\) −29.7585 0.463699i −1.10444 0.0172095i
\(727\) −0.0932208 + 0.568622i −0.00345737 + 0.0210890i −0.988499 0.151228i \(-0.951677\pi\)
0.985042 + 0.172317i \(0.0551254\pi\)
\(728\) −5.66945 + 2.25891i −0.210124 + 0.0837210i
\(729\) −17.7830 20.3166i −0.658629 0.752467i
\(730\) 0.151386 + 2.79215i 0.00560305 + 0.103342i
\(731\) −2.76276 + 9.95055i −0.102184 + 0.368034i
\(732\) −7.04626 6.17669i −0.260437 0.228297i
\(733\) −17.2058 3.78728i −0.635511 0.139887i −0.114482 0.993425i \(-0.536521\pi\)
−0.521029 + 0.853539i \(0.674452\pi\)
\(734\) −1.73064 7.86239i −0.0638792 0.290206i
\(735\) 6.63634 0.982055i 0.244785 0.0362237i
\(736\) 3.52736 + 21.5159i 0.130020 + 0.793088i
\(737\) 0.0760916 + 0.126465i 0.00280287 + 0.00465841i
\(738\) −0.967451 + 31.0361i −0.0356124 + 1.14246i
\(739\) −32.8676 + 5.38837i −1.20905 + 0.198214i −0.732399 0.680876i \(-0.761599\pi\)
−0.476656 + 0.879090i \(0.658151\pi\)
\(740\) −9.23473 + 4.27244i −0.339475 + 0.157058i
\(741\) −4.87348 0.340459i −0.179032 0.0125071i
\(742\) 0.174039 0.790666i 0.00638916 0.0290263i
\(743\) −12.8415 + 27.7564i −0.471109 + 1.01828i 0.515756 + 0.856735i \(0.327511\pi\)
−0.986865 + 0.161549i \(0.948351\pi\)
\(744\) 3.01842 4.84417i 0.110661 0.177596i
\(745\) 18.4665 1.00122i 0.676560 0.0366820i
\(746\) −1.39644 + 1.64401i −0.0511271 + 0.0601915i
\(747\) 2.45388 12.5124i 0.0897827 0.457805i
\(748\) 0.00939781 + 0.00154069i 0.000343618 + 5.63333e-5i
\(749\) 0.584157 0.162190i 0.0213446 0.00592630i
\(750\) −23.6354 + 0.912416i −0.863044 + 0.0333167i
\(751\) 17.1762 + 11.6458i 0.626769 + 0.424960i 0.832791 0.553587i \(-0.186742\pi\)
−0.206022 + 0.978547i \(0.566052\pi\)
\(752\) 27.1297 51.1721i 0.989320 1.86606i
\(753\) −6.62568 14.9272i −0.241453 0.543976i
\(754\) 0.653759 0.619273i 0.0238085 0.0225526i
\(755\) 36.2711 3.94472i 1.32004 0.143563i
\(756\) 5.17664 + 1.39598i 0.188273 + 0.0507714i
\(757\) 32.6621 + 24.8291i 1.18713 + 0.902429i 0.996851 0.0793019i \(-0.0252691\pi\)
0.190274 + 0.981731i \(0.439062\pi\)
\(758\) 25.5972 + 24.2469i 0.929732 + 0.880689i
\(759\) −0.248899 0.0882053i −0.00903446 0.00320165i
\(760\) 5.27276 15.6490i 0.191263 0.567649i
\(761\) −0.782623 1.02952i −0.0283701 0.0373202i 0.781689 0.623668i \(-0.214358\pi\)
−0.810059 + 0.586348i \(0.800565\pi\)
\(762\) −14.3557 + 34.4589i −0.520054 + 1.24831i
\(763\) 35.6122 18.8804i 1.28925 0.683516i
\(764\) 0.903974 2.26880i 0.0327046 0.0820825i
\(765\) 4.28935 + 8.73805i 0.155082 + 0.315925i
\(766\) 14.9799i 0.541245i
\(767\) 7.57724 + 3.16030i 0.273598 + 0.114112i
\(768\) −4.93850 + 16.7688i −0.178203 + 0.605092i
\(769\) 3.93606 6.54178i 0.141938 0.235903i −0.777731 0.628597i \(-0.783629\pi\)
0.919669 + 0.392695i \(0.128457\pi\)
\(770\) −0.149538 0.0595815i −0.00538899 0.00214717i
\(771\) −8.20933 40.2743i −0.295652 1.45044i
\(772\) −2.17133 0.236146i −0.0781477 0.00849908i </