Properties

Label 354.2.e.b.85.2
Level 354
Weight 2
Character 354.85
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 85.2
Character \(\chi\) = 354.85
Dual form 354.2.e.b.25.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.796093 + 0.605174i) q^{2} +(-0.468408 + 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(0.451252 - 0.427449i) q^{5} +(-0.161782 - 0.986827i) q^{6} +(-1.39072 - 1.63728i) q^{7} +(0.370138 + 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +O(q^{10})\) \(q+(-0.796093 + 0.605174i) q^{2} +(-0.468408 + 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(0.451252 - 0.427449i) q^{5} +(-0.161782 - 0.986827i) q^{6} +(-1.39072 - 1.63728i) q^{7} +(0.370138 + 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +(-0.100558 + 0.613375i) q^{10} +(5.38463 - 3.23982i) q^{11} +(0.725995 + 0.687699i) q^{12} +(-1.24029 + 1.82929i) q^{13} +(2.09798 + 0.461800i) q^{14} +(0.166286 + 0.598907i) q^{15} +(-0.856857 - 0.515554i) q^{16} +(4.32295 - 5.08937i) q^{17} +(0.947653 + 0.319302i) q^{18} +(0.0104440 + 0.00483191i) q^{19} +(-0.291146 - 0.549159i) q^{20} +(2.09798 - 0.461800i) q^{21} +(-2.32601 + 5.83784i) q^{22} +(-0.864260 + 0.291203i) q^{23} +(-0.994138 - 0.108119i) q^{24} +(-0.249778 + 4.60689i) q^{25} +(-0.119653 - 2.20687i) q^{26} +(0.994138 - 0.108119i) q^{27} +(-1.94965 + 0.902006i) q^{28} +(1.56510 + 1.18975i) q^{29} +(-0.494822 - 0.376154i) q^{30} +(7.84696 - 3.63039i) q^{31} +(0.994138 - 0.108119i) q^{32} +(0.340217 + 6.27494i) q^{33} +(-0.361515 + 6.66776i) q^{34} +(-1.32742 - 0.144365i) q^{35} +(-0.947653 + 0.319302i) q^{36} +(0.261056 - 0.655202i) q^{37} +(-0.0112386 + 0.00247379i) q^{38} +(-1.03524 - 1.95266i) q^{39} +(0.564116 + 0.260988i) q^{40} +(8.49710 + 2.86300i) q^{41} +(-1.39072 + 1.63728i) q^{42} +(-1.41461 - 0.851142i) q^{43} +(-1.68119 - 6.05510i) q^{44} +(-0.607032 - 0.133618i) q^{45} +(0.511803 - 0.754852i) q^{46} +(-3.71172 - 3.51593i) q^{47} +(0.856857 - 0.515554i) q^{48} +(0.385888 - 2.35381i) q^{49} +(-2.58913 - 3.81867i) q^{50} +(2.47162 + 6.20329i) q^{51} +(1.43080 + 1.68447i) q^{52} +(0.882177 + 5.38104i) q^{53} +(-0.725995 + 0.687699i) q^{54} +(1.04497 - 3.76363i) q^{55} +(1.00624 - 1.89796i) q^{56} +(-0.00916111 + 0.00696410i) q^{57} -1.96597 q^{58} +(1.29746 - 7.57077i) q^{59} +0.621563 q^{60} +(-11.4417 + 8.69777i) q^{61} +(-4.04989 + 7.63891i) q^{62} +(-0.574704 + 2.06990i) q^{63} +(-0.725995 + 0.687699i) q^{64} +(0.222244 + 1.35563i) q^{65} +(-4.06828 - 4.78955i) q^{66} +(-1.36042 - 3.41441i) q^{67} +(-3.74735 - 5.52693i) q^{68} +(0.147545 - 0.899986i) q^{69} +(1.14411 - 0.688389i) q^{70} +(-7.85612 - 7.44171i) q^{71} +(0.561187 - 0.827689i) q^{72} +(-6.96612 - 1.53336i) q^{73} +(0.188686 + 0.679587i) q^{74} +(-3.95325 - 2.37859i) q^{75} +(0.00744986 - 0.00877065i) q^{76} +(-12.7930 - 4.31045i) q^{77} +(2.00585 + 0.928003i) q^{78} +(-4.84397 - 9.13669i) q^{79} +(-0.607032 + 0.133618i) q^{80} +(-0.370138 + 0.928977i) q^{81} +(-8.49710 + 2.86300i) q^{82} +(1.36488 + 0.148439i) q^{83} +(0.116301 - 2.14505i) q^{84} +(-0.224705 - 4.14443i) q^{85} +(1.64125 - 0.178497i) q^{86} +(-1.78427 + 0.825490i) q^{87} +(5.00277 + 3.80301i) q^{88} +(10.1915 + 7.74741i) q^{89} +(0.564116 - 0.260988i) q^{90} +(4.71994 - 0.513324i) q^{91} +(0.0493747 + 0.910662i) q^{92} +(-0.468089 + 8.63339i) q^{93} +(5.08262 + 0.552769i) q^{94} +(0.00677828 - 0.00228387i) q^{95} +(-0.370138 + 0.928977i) q^{96} +(-10.5255 + 2.31685i) q^{97} +(1.11727 + 2.10739i) q^{98} +(-5.70335 - 2.63865i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{23}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.796093 + 0.605174i −0.562923 + 0.427923i
\(3\) −0.468408 + 0.883512i −0.270436 + 0.510096i
\(4\) 0.267528 0.963550i 0.133764 0.481775i
\(5\) 0.451252 0.427449i 0.201806 0.191161i −0.580122 0.814530i \(-0.696995\pi\)
0.781928 + 0.623369i \(0.214236\pi\)
\(6\) −0.161782 0.986827i −0.0660472 0.402870i
\(7\) −1.39072 1.63728i −0.525641 0.618832i 0.433709 0.901053i \(-0.357205\pi\)
−0.959349 + 0.282221i \(0.908929\pi\)
\(8\) 0.370138 + 0.928977i 0.130864 + 0.328443i
\(9\) −0.561187 0.827689i −0.187062 0.275896i
\(10\) −0.100558 + 0.613375i −0.0317992 + 0.193966i
\(11\) 5.38463 3.23982i 1.62353 0.976843i 0.646717 0.762730i \(-0.276142\pi\)
0.976809 0.214113i \(-0.0686860\pi\)
\(12\) 0.725995 + 0.687699i 0.209577 + 0.198522i
\(13\) −1.24029 + 1.82929i −0.343994 + 0.507353i −0.959853 0.280503i \(-0.909499\pi\)
0.615859 + 0.787856i \(0.288809\pi\)
\(14\) 2.09798 + 0.461800i 0.560708 + 0.123421i
\(15\) 0.166286 + 0.598907i 0.0429348 + 0.154637i
\(16\) −0.856857 0.515554i −0.214214 0.128888i
\(17\) 4.32295 5.08937i 1.04847 1.23435i 0.0770403 0.997028i \(-0.475453\pi\)
0.971430 0.237327i \(-0.0762712\pi\)
\(18\) 0.947653 + 0.319302i 0.223364 + 0.0752601i
\(19\) 0.0104440 + 0.00483191i 0.00239602 + 0.00110852i 0.421087 0.907020i \(-0.361649\pi\)
−0.418691 + 0.908129i \(0.637511\pi\)
\(20\) −0.291146 0.549159i −0.0651021 0.122796i
\(21\) 2.09798 0.461800i 0.457816 0.100773i
\(22\) −2.32601 + 5.83784i −0.495906 + 1.24463i
\(23\) −0.864260 + 0.291203i −0.180211 + 0.0607200i −0.407960 0.913000i \(-0.633760\pi\)
0.227750 + 0.973720i \(0.426863\pi\)
\(24\) −0.994138 0.108119i −0.202928 0.0220697i
\(25\) −0.249778 + 4.60689i −0.0499557 + 0.921379i
\(26\) −0.119653 2.20687i −0.0234659 0.432803i
\(27\) 0.994138 0.108119i 0.191322 0.0208075i
\(28\) −1.94965 + 0.902006i −0.368450 + 0.170463i
\(29\) 1.56510 + 1.18975i 0.290631 + 0.220932i 0.740322 0.672252i \(-0.234673\pi\)
−0.449691 + 0.893184i \(0.648466\pi\)
\(30\) −0.494822 0.376154i −0.0903418 0.0686760i
\(31\) 7.84696 3.63039i 1.40936 0.652038i 0.440068 0.897965i \(-0.354954\pi\)
0.969288 + 0.245927i \(0.0790923\pi\)
\(32\) 0.994138 0.108119i 0.175740 0.0191129i
\(33\) 0.340217 + 6.27494i 0.0592243 + 1.09233i
\(34\) −0.361515 + 6.66776i −0.0619993 + 1.14351i
\(35\) −1.32742 0.144365i −0.224374 0.0244022i
\(36\) −0.947653 + 0.319302i −0.157942 + 0.0532169i
\(37\) 0.261056 0.655202i 0.0429174 0.107715i −0.905956 0.423373i \(-0.860846\pi\)
0.948873 + 0.315658i \(0.102225\pi\)
\(38\) −0.0112386 + 0.00247379i −0.00182313 + 0.000401302i
\(39\) −1.03524 1.95266i −0.165770 0.312676i
\(40\) 0.564116 + 0.260988i 0.0891945 + 0.0412658i
\(41\) 8.49710 + 2.86300i 1.32702 + 0.447126i 0.891488 0.453045i \(-0.149662\pi\)
0.435536 + 0.900171i \(0.356559\pi\)
\(42\) −1.39072 + 1.63728i −0.214592 + 0.252637i
\(43\) −1.41461 0.851142i −0.215726 0.129798i 0.403590 0.914940i \(-0.367762\pi\)
−0.619316 + 0.785142i \(0.712590\pi\)
\(44\) −1.68119 6.05510i −0.253449 0.912841i
\(45\) −0.607032 0.133618i −0.0904909 0.0199186i
\(46\) 0.511803 0.754852i 0.0754612 0.111297i
\(47\) −3.71172 3.51593i −0.541410 0.512851i 0.367399 0.930063i \(-0.380248\pi\)
−0.908809 + 0.417213i \(0.863007\pi\)
\(48\) 0.856857 0.515554i 0.123677 0.0744138i
\(49\) 0.385888 2.35381i 0.0551269 0.336259i
\(50\) −2.58913 3.81867i −0.366158 0.540042i
\(51\) 2.47162 + 6.20329i 0.346095 + 0.868634i
\(52\) 1.43080 + 1.68447i 0.198416 + 0.233593i
\(53\) 0.882177 + 5.38104i 0.121176 + 0.739143i 0.975598 + 0.219563i \(0.0704632\pi\)
−0.854422 + 0.519580i \(0.826089\pi\)
\(54\) −0.725995 + 0.687699i −0.0987955 + 0.0935840i
\(55\) 1.04497 3.76363i 0.140903 0.507488i
\(56\) 1.00624 1.89796i 0.134464 0.253626i
\(57\) −0.00916111 + 0.00696410i −0.00121342 + 0.000922417i
\(58\) −1.96597 −0.258145
\(59\) 1.29746 7.57077i 0.168915 0.985631i
\(60\) 0.621563 0.0802435
\(61\) −11.4417 + 8.69777i −1.46496 + 1.11364i −0.495437 + 0.868644i \(0.664992\pi\)
−0.969525 + 0.244991i \(0.921215\pi\)
\(62\) −4.04989 + 7.63891i −0.514337 + 0.970142i
\(63\) −0.574704 + 2.06990i −0.0724059 + 0.260783i
\(64\) −0.725995 + 0.687699i −0.0907494 + 0.0859624i
\(65\) 0.222244 + 1.35563i 0.0275660 + 0.168145i
\(66\) −4.06828 4.78955i −0.500770 0.589552i
\(67\) −1.36042 3.41441i −0.166202 0.417136i 0.822160 0.569257i \(-0.192769\pi\)
−0.988362 + 0.152121i \(0.951390\pi\)
\(68\) −3.74735 5.52693i −0.454433 0.670239i
\(69\) 0.147545 0.899986i 0.0177624 0.108346i
\(70\) 1.14411 0.688389i 0.136748 0.0822783i
\(71\) −7.85612 7.44171i −0.932350 0.883169i 0.0610194 0.998137i \(-0.480565\pi\)
−0.993369 + 0.114968i \(0.963323\pi\)
\(72\) 0.561187 0.827689i 0.0661365 0.0975441i
\(73\) −6.96612 1.53336i −0.815323 0.179466i −0.212315 0.977201i \(-0.568100\pi\)
−0.603008 + 0.797735i \(0.706031\pi\)
\(74\) 0.188686 + 0.679587i 0.0219343 + 0.0790003i
\(75\) −3.95325 2.37859i −0.456482 0.274656i
\(76\) 0.00744986 0.00877065i 0.000854557 0.00100606i
\(77\) −12.7930 4.31045i −1.45789 0.491222i
\(78\) 2.00585 + 0.928003i 0.227117 + 0.105076i
\(79\) −4.84397 9.13669i −0.544989 1.02796i −0.991117 0.132989i \(-0.957542\pi\)
0.446129 0.894969i \(-0.352802\pi\)
\(80\) −0.607032 + 0.133618i −0.0678682 + 0.0149389i
\(81\) −0.370138 + 0.928977i −0.0411265 + 0.103220i
\(82\) −8.49710 + 2.86300i −0.938347 + 0.316166i
\(83\) 1.36488 + 0.148439i 0.149815 + 0.0162933i 0.182719 0.983165i \(-0.441510\pi\)
−0.0329043 + 0.999459i \(0.510476\pi\)
\(84\) 0.116301 2.14505i 0.0126895 0.234044i
\(85\) −0.224705 4.14443i −0.0243726 0.449527i
\(86\) 1.64125 0.178497i 0.176981 0.0192478i
\(87\) −1.78427 + 0.825490i −0.191293 + 0.0885018i
\(88\) 5.00277 + 3.80301i 0.533298 + 0.405402i
\(89\) 10.1915 + 7.74741i 1.08030 + 0.821224i 0.984711 0.174197i \(-0.0557330\pi\)
0.0955904 + 0.995421i \(0.469526\pi\)
\(90\) 0.564116 0.260988i 0.0594630 0.0275105i
\(91\) 4.71994 0.513324i 0.494784 0.0538110i
\(92\) 0.0493747 + 0.910662i 0.00514767 + 0.0949431i
\(93\) −0.468089 + 8.63339i −0.0485386 + 0.895241i
\(94\) 5.08262 + 0.552769i 0.524233 + 0.0570137i
\(95\) 0.00677828 0.00228387i 0.000695437 0.000234320i
\(96\) −0.370138 + 0.928977i −0.0377771 + 0.0948133i
\(97\) −10.5255 + 2.31685i −1.06871 + 0.235240i −0.714292 0.699848i \(-0.753251\pi\)
−0.354415 + 0.935088i \(0.615320\pi\)
\(98\) 1.11727 + 2.10739i 0.112861 + 0.212878i
\(99\) −5.70335 2.63865i −0.573208 0.265194i
\(100\) 4.37215 + 1.47315i 0.437215 + 0.147315i
\(101\) −3.76344 + 4.43066i −0.374476 + 0.440867i −0.916827 0.399285i \(-0.869258\pi\)
0.542351 + 0.840152i \(0.317534\pi\)
\(102\) −5.72171 3.44264i −0.566533 0.340872i
\(103\) 1.11516 + 4.01643i 0.109880 + 0.395751i 0.997953 0.0639509i \(-0.0203701\pi\)
−0.888073 + 0.459702i \(0.847956\pi\)
\(104\) −2.15844 0.475109i −0.211653 0.0465883i
\(105\) 0.749321 1.10517i 0.0731262 0.107853i
\(106\) −3.95876 3.74994i −0.384509 0.364226i
\(107\) 11.2945 6.79569i 1.09188 0.656964i 0.148581 0.988900i \(-0.452530\pi\)
0.943302 + 0.331936i \(0.107702\pi\)
\(108\) 0.161782 0.986827i 0.0155675 0.0949574i
\(109\) 3.38567 + 4.99349i 0.324289 + 0.478290i 0.954532 0.298107i \(-0.0963553\pi\)
−0.630244 + 0.776397i \(0.717045\pi\)
\(110\) 1.44576 + 3.62858i 0.137848 + 0.345972i
\(111\) 0.456598 + 0.537549i 0.0433384 + 0.0510219i
\(112\) 0.347540 + 2.11990i 0.0328395 + 0.200312i
\(113\) −4.36840 + 4.13797i −0.410944 + 0.389267i −0.865054 0.501679i \(-0.832716\pi\)
0.454110 + 0.890946i \(0.349957\pi\)
\(114\) 0.00307861 0.0110881i 0.000288338 0.00103850i
\(115\) −0.265525 + 0.500833i −0.0247603 + 0.0467029i
\(116\) 1.56510 1.18975i 0.145315 0.110466i
\(117\) 2.21011 0.204325
\(118\) 3.54874 + 6.81223i 0.326688 + 0.627117i
\(119\) −14.3447 −1.31498
\(120\) −0.494822 + 0.376154i −0.0451709 + 0.0343380i
\(121\) 13.3453 25.1718i 1.21321 2.28835i
\(122\) 3.84501 13.8485i 0.348111 1.25378i
\(123\) −6.50961 + 6.16623i −0.586952 + 0.555990i
\(124\) −1.39878 8.53217i −0.125614 0.766212i
\(125\) 3.86846 + 4.55430i 0.346005 + 0.407349i
\(126\) −0.795131 1.99563i −0.0708359 0.177785i
\(127\) 3.26279 + 4.81225i 0.289525 + 0.427018i 0.944440 0.328685i \(-0.106606\pi\)
−0.654914 + 0.755703i \(0.727295\pi\)
\(128\) 0.161782 0.986827i 0.0142996 0.0872240i
\(129\) 1.41461 0.851142i 0.124549 0.0749389i
\(130\) −0.997319 0.944711i −0.0874707 0.0828566i
\(131\) −12.5582 + 18.5220i −1.09722 + 1.61828i −0.374354 + 0.927286i \(0.622135\pi\)
−0.722865 + 0.690990i \(0.757175\pi\)
\(132\) 6.13724 + 1.35091i 0.534178 + 0.117581i
\(133\) −0.00661346 0.0238195i −0.000573460 0.00206542i
\(134\) 3.14934 + 1.89489i 0.272061 + 0.163694i
\(135\) 0.402392 0.473732i 0.0346324 0.0407724i
\(136\) 6.32800 + 2.13215i 0.542622 + 0.182830i
\(137\) −18.9313 8.75853i −1.61741 0.748292i −0.618121 0.786083i \(-0.712106\pi\)
−0.999286 + 0.0377907i \(0.987968\pi\)
\(138\) 0.427188 + 0.805763i 0.0363647 + 0.0685911i
\(139\) −3.60142 + 0.792733i −0.305469 + 0.0672388i −0.365060 0.930984i \(-0.618951\pi\)
0.0595909 + 0.998223i \(0.481020\pi\)
\(140\) −0.494224 + 1.24041i −0.0417696 + 0.104834i
\(141\) 4.84497 1.63246i 0.408020 0.137478i
\(142\) 10.7577 + 1.16997i 0.902769 + 0.0981820i
\(143\) −0.751920 + 13.8683i −0.0628787 + 1.15973i
\(144\) 0.0541389 + 0.998533i 0.00451158 + 0.0832111i
\(145\) 1.21481 0.132119i 0.100885 0.0109719i
\(146\) 6.47363 2.99502i 0.535762 0.247870i
\(147\) 1.89887 + 1.44348i 0.156616 + 0.119057i
\(148\) −0.561480 0.426826i −0.0461534 0.0350849i
\(149\) 17.8752 8.26993i 1.46439 0.677499i 0.484091 0.875017i \(-0.339150\pi\)
0.980299 + 0.197518i \(0.0632881\pi\)
\(150\) 4.58661 0.498824i 0.374495 0.0407288i
\(151\) 0.356071 + 6.56734i 0.0289766 + 0.534443i 0.976601 + 0.215057i \(0.0689938\pi\)
−0.947625 + 0.319386i \(0.896523\pi\)
\(152\) −0.000623009 0.0114907i −5.05327e−5 0.000932020i
\(153\) −6.63840 0.721970i −0.536683 0.0583678i
\(154\) 12.7930 4.31045i 1.03089 0.347346i
\(155\) 1.98915 4.99240i 0.159773 0.400999i
\(156\) −2.15844 + 0.475109i −0.172814 + 0.0380392i
\(157\) 6.99743 + 13.1985i 0.558455 + 1.05336i 0.988595 + 0.150596i \(0.0481194\pi\)
−0.430140 + 0.902762i \(0.641536\pi\)
\(158\) 9.38554 + 4.34221i 0.746673 + 0.345448i
\(159\) −5.16744 1.74111i −0.409804 0.138079i
\(160\) 0.402392 0.473732i 0.0318118 0.0374518i
\(161\) 1.67872 + 1.01005i 0.132302 + 0.0796032i
\(162\) −0.267528 0.963550i −0.0210190 0.0757036i
\(163\) 1.07459 + 0.236535i 0.0841683 + 0.0185268i 0.256855 0.966450i \(-0.417314\pi\)
−0.172687 + 0.984977i \(0.555245\pi\)
\(164\) 5.03186 7.42144i 0.392922 0.579517i
\(165\) 2.83574 + 2.68616i 0.220762 + 0.209117i
\(166\) −1.17640 + 0.707817i −0.0913064 + 0.0549372i
\(167\) −3.66042 + 22.3276i −0.283252 + 1.72776i 0.335383 + 0.942082i \(0.391134\pi\)
−0.618635 + 0.785679i \(0.712314\pi\)
\(168\) 1.20554 + 1.77804i 0.0930096 + 0.137179i
\(169\) 3.00382 + 7.53901i 0.231063 + 0.579924i
\(170\) 2.68699 + 3.16337i 0.206083 + 0.242619i
\(171\) −0.00186172 0.0113560i −0.000142369 0.000868415i
\(172\) −1.19857 + 1.13534i −0.0913898 + 0.0865690i
\(173\) −0.630941 + 2.27244i −0.0479696 + 0.172771i −0.983655 0.180066i \(-0.942369\pi\)
0.935685 + 0.352836i \(0.114783\pi\)
\(174\) 0.920877 1.73696i 0.0698115 0.131678i
\(175\) 7.89013 5.99792i 0.596438 0.453400i
\(176\) −6.28416 −0.473686
\(177\) 6.08113 + 4.69254i 0.457085 + 0.352713i
\(178\) −12.8019 −0.959546
\(179\) 10.9373 8.31429i 0.817490 0.621440i −0.110571 0.993868i \(-0.535268\pi\)
0.928061 + 0.372429i \(0.121475\pi\)
\(180\) −0.291146 + 0.549159i −0.0217007 + 0.0409319i
\(181\) 1.90614 6.86529i 0.141682 0.510293i −0.858314 0.513125i \(-0.828488\pi\)
0.999996 + 0.00283206i \(0.000901475\pi\)
\(182\) −3.44686 + 3.26504i −0.255498 + 0.242021i
\(183\) −2.32519 14.1830i −0.171883 1.04844i
\(184\) −0.590416 0.695092i −0.0435261 0.0512428i
\(185\) −0.162263 0.407250i −0.0119298 0.0299416i
\(186\) −4.85206 7.15626i −0.355771 0.524722i
\(187\) 6.78882 41.4100i 0.496448 3.02820i
\(188\) −4.38076 + 2.63582i −0.319500 + 0.192237i
\(189\) −1.55958 1.47732i −0.113443 0.107459i
\(190\) −0.00401400 + 0.00592021i −0.000291206 + 0.000429497i
\(191\) 3.14834 + 0.693002i 0.227806 + 0.0501439i 0.327406 0.944884i \(-0.393825\pi\)
−0.0996004 + 0.995028i \(0.531756\pi\)
\(192\) −0.267528 0.963550i −0.0193072 0.0695382i
\(193\) 5.23772 + 3.15143i 0.377019 + 0.226845i 0.691432 0.722441i \(-0.256980\pi\)
−0.314413 + 0.949286i \(0.601808\pi\)
\(194\) 6.97722 8.21421i 0.500935 0.589746i
\(195\) −1.30182 0.438633i −0.0932250 0.0314112i
\(196\) −2.16478 1.00153i −0.154627 0.0715382i
\(197\) 12.1067 + 22.8357i 0.862567 + 1.62697i 0.776004 + 0.630727i \(0.217243\pi\)
0.0865626 + 0.996246i \(0.472412\pi\)
\(198\) 6.13724 1.35091i 0.436154 0.0960049i
\(199\) −7.97097 + 20.0056i −0.565047 + 1.41816i 0.317644 + 0.948210i \(0.397108\pi\)
−0.882692 + 0.469952i \(0.844271\pi\)
\(200\) −4.37215 + 1.47315i −0.309158 + 0.104167i
\(201\) 3.65390 + 0.397386i 0.257727 + 0.0280294i
\(202\) 0.314724 5.80475i 0.0221439 0.408421i
\(203\) −0.228645 4.21710i −0.0160477 0.295983i
\(204\) 6.63840 0.721970i 0.464781 0.0505480i
\(205\) 5.05812 2.34014i 0.353274 0.163442i
\(206\) −3.31841 2.52259i −0.231205 0.175757i
\(207\) 0.726037 + 0.551919i 0.0504631 + 0.0383610i
\(208\) 2.00585 0.928003i 0.139080 0.0643454i
\(209\) 0.0718916 0.00781868i 0.00497285 0.000540830i
\(210\) 0.0722886 + 1.33328i 0.00498838 + 0.0920053i
\(211\) 0.112501 2.07497i 0.00774491 0.142846i −0.992103 0.125423i \(-0.959971\pi\)
0.999848 0.0174230i \(-0.00554620\pi\)
\(212\) 5.42091 + 0.589560i 0.372310 + 0.0404911i
\(213\) 10.2547 3.45522i 0.702641 0.236747i
\(214\) −4.87891 + 12.2452i −0.333516 + 0.837061i
\(215\) −1.00217 + 0.220593i −0.0683471 + 0.0150443i
\(216\) 0.468408 + 0.883512i 0.0318712 + 0.0601154i
\(217\) −16.8568 7.79881i −1.14432 0.529418i
\(218\) −5.71725 1.92636i −0.387221 0.130470i
\(219\) 4.61773 5.43642i 0.312037 0.367359i
\(220\) −3.34689 2.01375i −0.225647 0.135767i
\(221\) 3.94822 + 14.2202i 0.265586 + 0.956555i
\(222\) −0.688805 0.151617i −0.0462296 0.0101759i
\(223\) 3.10320 4.57687i 0.207806 0.306490i −0.709476 0.704730i \(-0.751068\pi\)
0.917282 + 0.398239i \(0.130379\pi\)
\(224\) −1.55958 1.47732i −0.104204 0.0987073i
\(225\) 3.95325 2.37859i 0.263550 0.158573i
\(226\) 0.973461 5.93785i 0.0647536 0.394980i
\(227\) −4.34517 6.40864i −0.288399 0.425357i 0.655699 0.755023i \(-0.272374\pi\)
−0.944098 + 0.329666i \(0.893064\pi\)
\(228\) 0.00425940 + 0.0106903i 0.000282086 + 0.000707981i
\(229\) 9.24520 + 10.8843i 0.610940 + 0.719255i 0.977452 0.211159i \(-0.0677238\pi\)
−0.366511 + 0.930414i \(0.619448\pi\)
\(230\) −0.0917087 0.559398i −0.00604709 0.0368856i
\(231\) 9.80067 9.28369i 0.644837 0.610822i
\(232\) −0.525953 + 1.89431i −0.0345305 + 0.124368i
\(233\) −3.37656 + 6.36886i −0.221206 + 0.417238i −0.969132 0.246544i \(-0.920705\pi\)
0.747926 + 0.663782i \(0.231050\pi\)
\(234\) −1.75946 + 1.33750i −0.115019 + 0.0874354i
\(235\) −3.17780 −0.207297
\(236\) −6.94771 3.27557i −0.452257 0.213221i
\(237\) 10.3413 0.671742
\(238\) 11.4197 8.68105i 0.740231 0.562709i
\(239\) 3.12940 5.90268i 0.202424 0.381813i −0.761428 0.648249i \(-0.775501\pi\)
0.963852 + 0.266437i \(0.0858463\pi\)
\(240\) 0.166286 0.598907i 0.0107337 0.0386593i
\(241\) −15.6043 + 14.7812i −1.00516 + 0.952140i −0.998855 0.0478405i \(-0.984766\pi\)
−0.00630656 + 0.999980i \(0.502007\pi\)
\(242\) 4.60927 + 28.1153i 0.296295 + 1.80732i
\(243\) −0.647386 0.762162i −0.0415298 0.0488927i
\(244\) 5.31975 + 13.3516i 0.340562 + 0.854747i
\(245\) −0.832002 1.22711i −0.0531547 0.0783973i
\(246\) 1.45061 8.84834i 0.0924876 0.564150i
\(247\) −0.0217925 + 0.0131121i −0.00138663 + 0.000834305i
\(248\) 6.27701 + 5.94590i 0.398591 + 0.377565i
\(249\) −0.770468 + 1.13635i −0.0488264 + 0.0720136i
\(250\) −5.83579 1.28456i −0.369088 0.0812424i
\(251\) −0.589090 2.12171i −0.0371831 0.133921i 0.942629 0.333842i \(-0.108345\pi\)
−0.979812 + 0.199921i \(0.935931\pi\)
\(252\) 1.84070 + 1.10751i 0.115953 + 0.0697667i
\(253\) −3.71027 + 4.36807i −0.233263 + 0.274618i
\(254\) −5.50973 1.85644i −0.345711 0.116484i
\(255\) 3.76691 + 1.74276i 0.235893 + 0.109136i
\(256\) 0.468408 + 0.883512i 0.0292755 + 0.0552195i
\(257\) −6.02683 + 1.32660i −0.375943 + 0.0827513i −0.398923 0.916985i \(-0.630616\pi\)
0.0229795 + 0.999736i \(0.492685\pi\)
\(258\) −0.611071 + 1.53367i −0.0380436 + 0.0954823i
\(259\) −1.43580 + 0.483778i −0.0892164 + 0.0300605i
\(260\) 1.36567 + 0.148526i 0.0846955 + 0.00921119i
\(261\) 0.106435 1.96309i 0.00658819 0.121512i
\(262\) −1.21152 22.3452i −0.0748479 1.38049i
\(263\) −21.4812 + 2.33622i −1.32459 + 0.144058i −0.742927 0.669373i \(-0.766563\pi\)
−0.581662 + 0.813431i \(0.697597\pi\)
\(264\) −5.70335 + 2.63865i −0.351017 + 0.162398i
\(265\) 2.69820 + 2.05112i 0.165749 + 0.125999i
\(266\) 0.0196799 + 0.0149603i 0.00120665 + 0.000917273i
\(267\) −11.6187 + 5.37540i −0.711055 + 0.328969i
\(268\) −3.65390 + 0.397386i −0.223198 + 0.0242742i
\(269\) −0.343745 6.34000i −0.0209585 0.386557i −0.990128 0.140163i \(-0.955237\pi\)
0.969170 0.246393i \(-0.0792456\pi\)
\(270\) −0.0336508 + 0.620652i −0.00204792 + 0.0377717i
\(271\) −14.7833 1.60778i −0.898022 0.0976657i −0.352548 0.935794i \(-0.614685\pi\)
−0.545474 + 0.838128i \(0.683650\pi\)
\(272\) −6.32800 + 2.13215i −0.383691 + 0.129281i
\(273\) −1.75733 + 4.41057i −0.106358 + 0.266940i
\(274\) 20.3715 4.48410i 1.23069 0.270895i
\(275\) 13.5805 + 25.6156i 0.818938 + 1.54468i
\(276\) −0.827709 0.382939i −0.0498222 0.0230502i
\(277\) −22.1753 7.47173i −1.33239 0.448933i −0.439106 0.898435i \(-0.644705\pi\)
−0.893279 + 0.449502i \(0.851601\pi\)
\(278\) 2.38733 2.81058i 0.143182 0.168567i
\(279\) −7.40845 4.45752i −0.443532 0.266865i
\(280\) −0.357215 1.28657i −0.0213477 0.0768874i
\(281\) −16.4523 3.62142i −0.981459 0.216036i −0.304868 0.952395i \(-0.598612\pi\)
−0.676591 + 0.736359i \(0.736543\pi\)
\(282\) −2.86912 + 4.23164i −0.170854 + 0.251990i
\(283\) 16.3446 + 15.4824i 0.971585 + 0.920334i 0.996847 0.0793469i \(-0.0252835\pi\)
−0.0252623 + 0.999681i \(0.508042\pi\)
\(284\) −9.27220 + 5.57889i −0.550204 + 0.331046i
\(285\) −0.00115718 + 0.00705847i −6.85453e−5 + 0.000418108i
\(286\) −7.79416 11.4955i −0.460879 0.679745i
\(287\) −7.12951 17.8937i −0.420842 1.05623i
\(288\) −0.647386 0.762162i −0.0381476 0.0449108i
\(289\) −4.46351 27.2262i −0.262559 1.60154i
\(290\) −0.887148 + 0.840352i −0.0520951 + 0.0493471i
\(291\) 2.88329 10.3847i 0.169022 0.608760i
\(292\) −3.34110 + 6.30199i −0.195523 + 0.368796i
\(293\) 0.115811 0.0880374i 0.00676576 0.00514320i −0.601786 0.798657i \(-0.705544\pi\)
0.608552 + 0.793514i \(0.291751\pi\)
\(294\) −2.38524 −0.139110
\(295\) −2.65063 3.97093i −0.154326 0.231196i
\(296\) 0.705295 0.0409944
\(297\) 5.00277 3.80301i 0.290290 0.220673i
\(298\) −9.22555 + 17.4012i −0.534422 + 1.00803i
\(299\) 0.539237 1.94216i 0.0311849 0.112318i
\(300\) −3.34950 + 3.17281i −0.193383 + 0.183182i
\(301\) 0.573764 + 3.49980i 0.0330712 + 0.201725i
\(302\) −4.25785 5.01273i −0.245012 0.288450i
\(303\) −2.15172 5.40040i −0.123613 0.310245i
\(304\) −0.00645791 0.00952471i −0.000370387 0.000546279i
\(305\) −1.44525 + 8.81564i −0.0827548 + 0.504782i
\(306\) 5.72171 3.44264i 0.327088 0.196802i
\(307\) 12.3835 + 11.7303i 0.706766 + 0.669484i 0.954114 0.299442i \(-0.0968006\pi\)
−0.247348 + 0.968927i \(0.579559\pi\)
\(308\) −7.57582 + 11.1735i −0.431672 + 0.636669i
\(309\) −4.07092 0.896076i −0.231586 0.0509760i
\(310\) 1.43772 + 5.17820i 0.0816570 + 0.294102i
\(311\) −17.6377 10.6123i −1.00014 0.601766i −0.0814240 0.996680i \(-0.525947\pi\)
−0.918718 + 0.394914i \(0.870774\pi\)
\(312\) 1.43080 1.68447i 0.0810030 0.0953641i
\(313\) 20.7940 + 7.00633i 1.17535 + 0.396021i 0.838164 0.545418i \(-0.183629\pi\)
0.337184 + 0.941439i \(0.390526\pi\)
\(314\) −13.5580 6.27261i −0.765123 0.353984i
\(315\) 0.625439 + 1.17970i 0.0352395 + 0.0664687i
\(316\) −10.0996 + 2.22308i −0.568144 + 0.125058i
\(317\) 3.54305 8.89239i 0.198998 0.499446i −0.795284 0.606237i \(-0.792678\pi\)
0.994282 + 0.106791i \(0.0340575\pi\)
\(318\) 5.16744 1.74111i 0.289775 0.0976367i
\(319\) 12.2820 + 1.33575i 0.687663 + 0.0747878i
\(320\) −0.0336508 + 0.620652i −0.00188113 + 0.0346955i
\(321\) 0.713623 + 13.1620i 0.0398306 + 0.734631i
\(322\) −1.94767 + 0.211822i −0.108540 + 0.0118044i
\(323\) 0.0697404 0.0322653i 0.00388046 0.00179529i
\(324\) 0.796093 + 0.605174i 0.0442274 + 0.0336208i
\(325\) −8.11753 6.17079i −0.450280 0.342294i
\(326\) −0.998618 + 0.462010i −0.0553083 + 0.0255884i
\(327\) −5.99769 + 0.652288i −0.331673 + 0.0360716i
\(328\) 0.485434 + 8.95331i 0.0268036 + 0.494364i
\(329\) −0.594601 + 10.9668i −0.0327814 + 0.604618i
\(330\) −3.88310 0.422313i −0.213758 0.0232476i
\(331\) 13.2723 4.47196i 0.729511 0.245801i 0.0700542 0.997543i \(-0.477683\pi\)
0.659457 + 0.751742i \(0.270786\pi\)
\(332\) 0.508172 1.27542i 0.0278896 0.0699975i
\(333\) −0.688805 + 0.151617i −0.0377463 + 0.00830859i
\(334\) −10.5980 19.9900i −0.579899 1.09381i
\(335\) −2.07338 0.959247i −0.113281 0.0524093i
\(336\) −2.03575 0.685924i −0.111059 0.0374202i
\(337\) 15.1535 17.8401i 0.825466 0.971814i −0.174451 0.984666i \(-0.555815\pi\)
0.999917 + 0.0128520i \(0.00409104\pi\)
\(338\) −6.95373 4.18392i −0.378233 0.227575i
\(339\) −1.60975 5.79779i −0.0874295 0.314893i
\(340\) −4.05348 0.892239i −0.219831 0.0483885i
\(341\) 30.4911 44.9711i 1.65119 2.43532i
\(342\) 0.00835446 + 0.00791377i 0.000451757 + 0.000427927i
\(343\) −17.2754 + 10.3943i −0.932785 + 0.561238i
\(344\) 0.267090 1.62918i 0.0144005 0.0878395i
\(345\) −0.318118 0.469189i −0.0171269 0.0252603i
\(346\) −0.872937 2.19091i −0.0469294 0.117784i
\(347\) −0.0237439 0.0279534i −0.00127464 0.00150062i 0.761524 0.648136i \(-0.224451\pi\)
−0.762799 + 0.646636i \(0.776175\pi\)
\(348\) 0.318059 + 1.94007i 0.0170497 + 0.103999i
\(349\) −19.8385 + 18.7920i −1.06193 + 1.00591i −0.0619589 + 0.998079i \(0.519735\pi\)
−0.999969 + 0.00783312i \(0.997507\pi\)
\(350\) −2.65149 + 9.54980i −0.141728 + 0.510458i
\(351\) −1.03524 + 1.95266i −0.0552568 + 0.104225i
\(352\) 5.00277 3.80301i 0.266649 0.202701i
\(353\) 1.05688 0.0562520 0.0281260 0.999604i \(-0.491046\pi\)
0.0281260 + 0.999604i \(0.491046\pi\)
\(354\) −7.68094 0.0555552i −0.408238 0.00295272i
\(355\) −6.72604 −0.356981
\(356\) 10.1915 7.74741i 0.540151 0.410612i
\(357\) 6.71918 12.6737i 0.355617 0.670765i
\(358\) −3.67549 + 13.2379i −0.194255 + 0.699645i
\(359\) −5.41663 + 5.13090i −0.285879 + 0.270799i −0.817178 0.576386i \(-0.804463\pi\)
0.531299 + 0.847184i \(0.321704\pi\)
\(360\) −0.100558 0.613375i −0.00529986 0.0323277i
\(361\) −12.3003 14.4810i −0.647382 0.762157i
\(362\) 2.63723 + 6.61896i 0.138610 + 0.347885i
\(363\) 15.9886 + 23.5814i 0.839183 + 1.23770i
\(364\) 0.768103 4.68522i 0.0402596 0.245572i
\(365\) −3.79891 + 2.28573i −0.198844 + 0.119641i
\(366\) 10.4343 + 9.88385i 0.545407 + 0.516637i
\(367\) −1.29552 + 1.91075i −0.0676256 + 0.0997403i −0.859998 0.510297i \(-0.829535\pi\)
0.792372 + 0.610038i \(0.208846\pi\)
\(368\) 0.890678 + 0.196053i 0.0464298 + 0.0102200i
\(369\) −2.39878 8.63963i −0.124876 0.449761i
\(370\) 0.375634 + 0.226011i 0.0195283 + 0.0117498i
\(371\) 7.58340 8.92787i 0.393710 0.463512i
\(372\) 8.19348 + 2.76070i 0.424812 + 0.143136i
\(373\) −33.9739 15.7180i −1.75910 0.813846i −0.983089 0.183127i \(-0.941378\pi\)
−0.776011 0.630719i \(-0.782760\pi\)
\(374\) 19.6557 + 37.0746i 1.01637 + 1.91708i
\(375\) −5.83579 + 1.28456i −0.301359 + 0.0663342i
\(376\) 1.89237 4.74948i 0.0975913 0.244936i
\(377\) −4.11757 + 1.38737i −0.212066 + 0.0714533i
\(378\) 2.13561 + 0.232261i 0.109844 + 0.0119462i
\(379\) −0.590591 + 10.8928i −0.0303366 + 0.559526i 0.943373 + 0.331734i \(0.107634\pi\)
−0.973710 + 0.227793i \(0.926849\pi\)
\(380\) −0.000387239 0.00714221i −1.98650e−5 0.000366388i
\(381\) −5.78000 + 0.628613i −0.296118 + 0.0322048i
\(382\) −2.92576 + 1.35360i −0.149695 + 0.0692562i
\(383\) −5.90394 4.48806i −0.301677 0.229329i 0.443373 0.896337i \(-0.353782\pi\)
−0.745051 + 0.667008i \(0.767575\pi\)
\(384\) 0.796093 + 0.605174i 0.0406255 + 0.0308827i
\(385\) −7.61535 + 3.52324i −0.388114 + 0.179561i
\(386\) −6.07688 + 0.660900i −0.309305 + 0.0336389i
\(387\) 0.0893794 + 1.64851i 0.00454341 + 0.0837983i
\(388\) −0.583483 + 10.7617i −0.0296219 + 0.546343i
\(389\) 18.6830 + 2.03190i 0.947268 + 0.103022i 0.568694 0.822549i \(-0.307449\pi\)
0.378574 + 0.925571i \(0.376415\pi\)
\(390\) 1.30182 0.438633i 0.0659200 0.0222110i
\(391\) −2.25411 + 5.65740i −0.113995 + 0.286107i
\(392\) 2.32947 0.512755i 0.117656 0.0258981i
\(393\) −10.4820 19.7712i −0.528749 0.997326i
\(394\) −23.4576 10.8527i −1.18178 0.546749i
\(395\) −6.09132 2.05240i −0.306487 0.103268i
\(396\) −4.06828 + 4.78955i −0.204439 + 0.240684i
\(397\) 10.5111 + 6.32430i 0.527535 + 0.317407i 0.754287 0.656545i \(-0.227983\pi\)
−0.226751 + 0.973953i \(0.572810\pi\)
\(398\) −5.76126 20.7502i −0.288786 1.04011i
\(399\) 0.0241427 + 0.00531420i 0.00120864 + 0.000266043i
\(400\) 2.58913 3.81867i 0.129456 0.190934i
\(401\) −10.3094 9.76562i −0.514829 0.487672i 0.385605 0.922664i \(-0.373993\pi\)
−0.900434 + 0.434992i \(0.856751\pi\)
\(402\) −3.14934 + 1.89489i −0.157075 + 0.0945086i
\(403\) −3.09146 + 18.8571i −0.153997 + 0.939338i
\(404\) 3.26234 + 4.81159i 0.162307 + 0.239385i
\(405\) 0.230064 + 0.577418i 0.0114320 + 0.0286921i
\(406\) 2.73410 + 3.21884i 0.135691 + 0.159748i
\(407\) −0.717047 4.37380i −0.0355427 0.216801i
\(408\) −4.84787 + 4.59215i −0.240005 + 0.227345i
\(409\) 1.19994 4.32178i 0.0593330 0.213698i −0.927941 0.372728i \(-0.878423\pi\)
0.987274 + 0.159029i \(0.0508364\pi\)
\(410\) −2.61055 + 4.92401i −0.128926 + 0.243180i
\(411\) 16.6058 12.6234i 0.819105 0.622668i
\(412\) 4.16837 0.205361
\(413\) −14.1998 + 8.40448i −0.698729 + 0.413558i
\(414\) −0.912000 −0.0448224
\(415\) 0.679354 0.516431i 0.0333482 0.0253506i
\(416\) −1.03524 + 1.95266i −0.0507566 + 0.0957372i
\(417\) 0.986548 3.55322i 0.0483115 0.174002i
\(418\) −0.0525007 + 0.0497314i −0.00256790 + 0.00243244i
\(419\) 0.433434 + 2.64383i 0.0211746 + 0.129159i 0.995298 0.0968555i \(-0.0308785\pi\)
−0.974124 + 0.226015i \(0.927430\pi\)
\(420\) −0.864418 1.01767i −0.0421793 0.0496573i
\(421\) 0.519200 + 1.30309i 0.0253042 + 0.0635089i 0.941086 0.338167i \(-0.109807\pi\)
−0.915782 + 0.401676i \(0.868428\pi\)
\(422\) 1.16615 + 1.71995i 0.0567675 + 0.0837258i
\(423\) −0.827126 + 5.04524i −0.0402162 + 0.245308i
\(424\) −4.67234 + 2.81125i −0.226909 + 0.136526i
\(425\) 22.3664 + 21.1866i 1.08493 + 1.02770i
\(426\) −6.07270 + 8.95656i −0.294223 + 0.433947i
\(427\) 30.1528 + 6.63714i 1.45920 + 0.321194i
\(428\) −3.52638 12.7009i −0.170454 0.613920i
\(429\) −11.9006 7.16038i −0.574568 0.345706i
\(430\) 0.664319 0.782097i 0.0320363 0.0377161i
\(431\) −2.83466 0.955109i −0.136541 0.0460060i 0.250201 0.968194i \(-0.419503\pi\)
−0.386742 + 0.922188i \(0.626400\pi\)
\(432\) −0.907575 0.419889i −0.0436657 0.0202019i
\(433\) 13.2926 + 25.0726i 0.638803 + 1.20491i 0.965653 + 0.259834i \(0.0836680\pi\)
−0.326850 + 0.945076i \(0.605987\pi\)
\(434\) 18.1393 3.99275i 0.870712 0.191658i
\(435\) −0.452300 + 1.13519i −0.0216861 + 0.0544280i
\(436\) 5.71725 1.92636i 0.273806 0.0922561i
\(437\) −0.0104334 0.00113470i −0.000499097 5.42801e-5i
\(438\) −0.386167 + 7.12243i −0.0184518 + 0.340323i
\(439\) −0.568904 10.4928i −0.0271523 0.500795i −0.980204 0.197988i \(-0.936559\pi\)
0.953052 0.302806i \(-0.0979235\pi\)
\(440\) 3.88310 0.422313i 0.185120 0.0201330i
\(441\) −2.16478 + 1.00153i −0.103085 + 0.0476921i
\(442\) −11.7489 8.93125i −0.558836 0.424816i
\(443\) 27.6229 + 20.9984i 1.31240 + 0.997662i 0.998843 + 0.0480936i \(0.0153146\pi\)
0.313559 + 0.949569i \(0.398479\pi\)
\(444\) 0.640108 0.296146i 0.0303782 0.0140544i
\(445\) 7.91058 0.860327i 0.374997 0.0407834i
\(446\) 0.299372 + 5.52159i 0.0141757 + 0.261455i
\(447\) −1.06629 + 19.6666i −0.0504340 + 0.930200i
\(448\) 2.13561 + 0.232261i 0.100898 + 0.0109733i
\(449\) 17.0904 5.75844i 0.806548 0.271758i 0.114327 0.993443i \(-0.463529\pi\)
0.692221 + 0.721686i \(0.256632\pi\)
\(450\) −1.70769 + 4.28598i −0.0805013 + 0.202043i
\(451\) 55.0293 12.1129i 2.59123 0.570373i
\(452\) 2.81847 + 5.31619i 0.132570 + 0.250053i
\(453\) −5.96911 2.76161i −0.280453 0.129752i
\(454\) 7.33750 + 2.47229i 0.344366 + 0.116030i
\(455\) 1.91046 2.24917i 0.0895638 0.105443i
\(456\) −0.00986036 0.00593278i −0.000461754 0.000277828i
\(457\) −4.77773 17.2078i −0.223493 0.804948i −0.987214 0.159402i \(-0.949044\pi\)
0.763721 0.645546i \(-0.223370\pi\)
\(458\) −13.9469 3.06995i −0.651698 0.143450i
\(459\) 3.74735 5.52693i 0.174912 0.257975i
\(460\) 0.411542 + 0.389833i 0.0191882 + 0.0181761i
\(461\) 18.2270 10.9668i 0.848914 0.510775i −0.0233967 0.999726i \(-0.507448\pi\)
0.872311 + 0.488952i \(0.162621\pi\)
\(462\) −2.18400 + 13.3218i −0.101609 + 0.619786i
\(463\) 19.9403 + 29.4097i 0.926703 + 1.36678i 0.930303 + 0.366791i \(0.119544\pi\)
−0.00360014 + 0.999994i \(0.501146\pi\)
\(464\) −0.727681 1.82634i −0.0337817 0.0847857i
\(465\) 3.47911 + 4.09592i 0.161340 + 0.189944i
\(466\) −1.16622 7.11361i −0.0540240 0.329532i
\(467\) 14.8914 14.1059i 0.689093 0.652743i −0.260773 0.965400i \(-0.583978\pi\)
0.949866 + 0.312657i \(0.101219\pi\)
\(468\) 0.591268 2.12956i 0.0273314 0.0984388i
\(469\) −3.69837 + 6.97586i −0.170775 + 0.322115i
\(470\) 2.52983 1.92312i 0.116692 0.0887071i
\(471\) −14.9387 −0.688340
\(472\) 7.51331 1.59692i 0.345828 0.0735042i
\(473\) −10.3747 −0.477029
\(474\) −8.23266 + 6.25831i −0.378139 + 0.287454i
\(475\) −0.0248688 + 0.0469075i −0.00114106 + 0.00215226i
\(476\) −3.83762 + 13.8218i −0.175897 + 0.633523i
\(477\) 3.95876 3.74994i 0.181259 0.171698i
\(478\) 1.08085 + 6.59292i 0.0494371 + 0.301553i
\(479\) 2.75180 + 3.23967i 0.125733 + 0.148024i 0.821426 0.570314i \(-0.193179\pi\)
−0.695693 + 0.718339i \(0.744903\pi\)
\(480\) 0.230064 + 0.577418i 0.0105010 + 0.0263554i
\(481\) 0.874768 + 1.29019i 0.0398860 + 0.0588275i
\(482\) 3.47729 21.2105i 0.158386 0.966113i
\(483\) −1.67872 + 1.01005i −0.0763844 + 0.0459589i
\(484\) −20.6841 19.5930i −0.940185 0.890591i
\(485\) −3.75934 + 5.54461i −0.170703 + 0.251768i
\(486\) 0.976621 + 0.214970i 0.0443004 + 0.00975126i
\(487\) −5.55259 19.9986i −0.251612 0.906224i −0.976169 0.217010i \(-0.930370\pi\)
0.724558 0.689214i \(-0.242044\pi\)
\(488\) −12.3150 7.40971i −0.557476 0.335422i
\(489\) −0.712328 + 0.838617i −0.0322126 + 0.0379236i
\(490\) 1.40497 + 0.473389i 0.0634700 + 0.0213855i
\(491\) −23.2497 10.7565i −1.04925 0.485432i −0.181992 0.983300i \(-0.558254\pi\)
−0.867253 + 0.497868i \(0.834117\pi\)
\(492\) 4.19997 + 7.92198i 0.189349 + 0.357150i
\(493\) 12.8209 2.82210i 0.577426 0.127101i
\(494\) 0.00941376 0.0236268i 0.000423545 0.00106302i
\(495\) −3.70154 + 1.24719i −0.166372 + 0.0560571i
\(496\) −8.59539 0.934805i −0.385944 0.0419740i
\(497\) −1.25851 + 23.2119i −0.0564521 + 1.04120i
\(498\) −0.0743287 1.37091i −0.00333075 0.0614320i
\(499\) 19.6789 2.14021i 0.880949 0.0958089i 0.343547 0.939135i \(-0.388371\pi\)
0.537402 + 0.843327i \(0.319406\pi\)
\(500\) 5.42322 2.50905i 0.242534 0.112208i
\(501\) −18.0121 13.6925i −0.804722 0.611734i
\(502\) 1.75298 + 1.33258i 0.0782391 + 0.0594758i
\(503\) −16.3843 + 7.58017i −0.730538 + 0.337983i −0.749650 0.661834i \(-0.769778\pi\)
0.0191119 + 0.999817i \(0.493916\pi\)
\(504\) −2.13561 + 0.232261i −0.0951275 + 0.0103457i
\(505\) 0.195621 + 3.60802i 0.00870503 + 0.160555i
\(506\) 0.310278 5.72275i 0.0137936 0.254407i
\(507\) −8.06782 0.877428i −0.358304 0.0389680i
\(508\) 5.50973 1.85644i 0.244455 0.0823664i
\(509\) 10.3432 25.9594i 0.458453 1.15063i −0.500164 0.865931i \(-0.666727\pi\)
0.958617 0.284700i \(-0.0918939\pi\)
\(510\) −4.05348 + 0.892239i −0.179491 + 0.0395090i
\(511\) 7.17736 + 13.5379i 0.317508 + 0.598883i
\(512\) −0.907575 0.419889i −0.0401095 0.0185567i
\(513\) 0.0109052 + 0.00367439i 0.000481477 + 0.000162228i
\(514\) 3.99509 4.70338i 0.176216 0.207457i
\(515\) 2.22004 + 1.33575i 0.0978265 + 0.0588602i
\(516\) −0.441670 1.59075i −0.0194434 0.0700289i
\(517\) −31.3772 6.90665i −1.37997 0.303754i
\(518\) 0.850262 1.25404i 0.0373584 0.0550995i
\(519\) −1.71219 1.62188i −0.0751570 0.0711925i
\(520\) −1.17709 + 0.708230i −0.0516187 + 0.0310579i
\(521\) 2.72838 16.6424i 0.119532 0.729116i −0.857253 0.514896i \(-0.827831\pi\)
0.976785 0.214220i \(-0.0687211\pi\)
\(522\) 1.10328 + 1.62721i 0.0482891 + 0.0712211i
\(523\) 9.09182 + 22.8187i 0.397557 + 0.997794i 0.982424 + 0.186664i \(0.0597676\pi\)
−0.584866 + 0.811130i \(0.698853\pi\)
\(524\) 14.4872 + 17.0557i 0.632876 + 0.745080i
\(525\) 1.60343 + 9.78050i 0.0699795 + 0.426856i
\(526\) 15.6872 14.8597i 0.683995 0.647915i
\(527\) 15.4456 55.6301i 0.672822 2.42329i
\(528\) 2.94355 5.55213i 0.128102 0.241625i
\(529\) −17.6480 + 13.4157i −0.767304 + 0.583289i
\(530\) −3.38931 −0.147222
\(531\) −6.99436 + 3.17472i −0.303530 + 0.137771i
\(532\) −0.0247206 −0.00107177
\(533\) −15.7761 + 11.9927i −0.683339 + 0.519461i
\(534\) 5.99654 11.3107i 0.259496 0.489461i
\(535\) 2.19187 7.89440i 0.0947627 0.341305i
\(536\) 2.66836 2.52760i 0.115256 0.109176i
\(537\) 2.22267 + 13.5577i 0.0959153 + 0.585058i
\(538\) 4.11046 + 4.83921i 0.177215 + 0.208633i
\(539\) −5.54808 13.9246i −0.238973 0.599776i
\(540\) −0.348813 0.514461i −0.0150105 0.0221389i
\(541\) 0.446846 2.72564i 0.0192114 0.117184i −0.975480 0.220089i \(-0.929365\pi\)
0.994691 + 0.102904i \(0.0328136\pi\)
\(542\) 12.7419 7.66653i 0.547310 0.329306i
\(543\) 5.17272 + 4.89986i 0.221982 + 0.210273i
\(544\) 3.74735 5.52693i 0.160666 0.236965i
\(545\) 3.66226 + 0.806123i 0.156874 + 0.0345305i
\(546\) −1.27016 4.57471i −0.0543579 0.195780i
\(547\) −6.35819 3.82560i −0.271857 0.163571i 0.373097 0.927792i \(-0.378296\pi\)
−0.644954 + 0.764222i \(0.723123\pi\)
\(548\) −13.5039 + 15.8981i −0.576860 + 0.679132i
\(549\) 13.6200 + 4.58911i 0.581287 + 0.195858i
\(550\) −26.3133 12.1738i −1.12200 0.519094i
\(551\) 0.0105971 + 0.0199882i 0.000451451 + 0.000851526i
\(552\) 0.890678 0.196053i 0.0379098 0.00834457i
\(553\) −8.22271 + 20.6374i −0.349665 + 0.877594i
\(554\) 22.1753 7.47173i 0.942139 0.317444i
\(555\) 0.435815 + 0.0473978i 0.0184993 + 0.00201192i
\(556\) −0.199645 + 3.68223i −0.00846682 + 0.156161i
\(557\) −0.746179 13.7625i −0.0316166 0.583135i −0.970825 0.239788i \(-0.922922\pi\)
0.939209 0.343347i \(-0.111561\pi\)
\(558\) 8.59539 0.934805i 0.363872 0.0395734i
\(559\) 3.31151 1.53207i 0.140062 0.0647995i
\(560\) 1.06298 + 0.808054i 0.0449190 + 0.0341465i
\(561\) 33.4063 + 25.3948i 1.41041 + 1.07217i
\(562\) 15.2891 7.07350i 0.644932 0.298377i
\(563\) −22.5309 + 2.45038i −0.949563 + 0.103271i −0.569773 0.821802i \(-0.692969\pi\)
−0.379789 + 0.925073i \(0.624003\pi\)
\(564\) −0.276790 5.10510i −0.0116550 0.214963i
\(565\) −0.202480 + 3.73453i −0.00851842 + 0.157113i
\(566\) −22.3814 2.43412i −0.940759 0.102314i
\(567\) 2.03575 0.685924i 0.0854934 0.0288061i
\(568\) 4.00533 10.0526i 0.168060 0.421798i
\(569\) 7.27045 1.60035i 0.304793 0.0670900i −0.0599405 0.998202i \(-0.519091\pi\)
0.364734 + 0.931112i \(0.381160\pi\)
\(570\) −0.00335038 0.00631949i −0.000140332 0.000264695i
\(571\) 23.3385 + 10.7975i 0.976685 + 0.451863i 0.842266 0.539062i \(-0.181221\pi\)
0.134419 + 0.990925i \(0.457083\pi\)
\(572\) 13.1617 + 4.43469i 0.550317 + 0.185424i
\(573\) −2.08699 + 2.45699i −0.0871851 + 0.102642i
\(574\) 16.5046 + 9.93047i 0.688887 + 0.414490i
\(575\) −1.12567 4.05429i −0.0469436 0.169075i
\(576\) 0.976621 + 0.214970i 0.0406925 + 0.00895710i
\(577\) 1.82242 2.68787i 0.0758683 0.111897i −0.787862 0.615852i \(-0.788812\pi\)
0.863730 + 0.503955i \(0.168122\pi\)
\(578\) 20.0300 + 18.9734i 0.833137 + 0.789189i
\(579\) −5.23772 + 3.15143i −0.217672 + 0.130969i
\(580\) 0.197694 1.20588i 0.00820878 0.0500713i
\(581\) −1.65512 2.44112i −0.0686659 0.101275i
\(582\) 3.98917 + 10.0121i 0.165356 + 0.415013i
\(583\) 22.1838 + 26.1168i 0.918760 + 1.08165i
\(584\) −1.15397 7.03892i −0.0477517 0.291273i
\(585\) 0.997319 0.944711i 0.0412341 0.0390590i
\(586\) −0.0389185 + 0.140172i −0.00160771 + 0.00579045i
\(587\) 8.01053 15.1095i 0.330630 0.623635i −0.661343 0.750084i \(-0.730013\pi\)
0.991973 + 0.126449i \(0.0403580\pi\)
\(588\) 1.89887 1.44348i 0.0783081 0.0595283i
\(589\) 0.0994955 0.00409964
\(590\) 4.51325 + 1.55713i 0.185808 + 0.0641061i
\(591\) −25.8465 −1.06318
\(592\) −0.561480 + 0.426826i −0.0230767 + 0.0175424i
\(593\) 17.3427 32.7118i 0.712179 1.34331i −0.217907 0.975970i \(-0.569923\pi\)
0.930086 0.367342i \(-0.119732\pi\)
\(594\) −1.68119 + 6.05510i −0.0689801 + 0.248444i
\(595\) −6.47308 + 6.13163i −0.265370 + 0.251372i
\(596\) −3.18638 19.4361i −0.130519 0.796132i
\(597\) −13.9416 16.4133i −0.570590 0.671750i
\(598\) 0.746060 + 1.87247i 0.0305086 + 0.0765709i
\(599\) 14.6437 + 21.5979i 0.598327 + 0.882467i 0.999437 0.0335634i \(-0.0106856\pi\)
−0.401109 + 0.916030i \(0.631375\pi\)
\(600\) 0.746407 4.55288i 0.0304719 0.185871i
\(601\) −26.5013 + 15.9453i −1.08101 + 0.650422i −0.940547 0.339664i \(-0.889686\pi\)
−0.140462 + 0.990086i \(0.544859\pi\)
\(602\) −2.57476 2.43894i −0.104939 0.0994038i
\(603\) −2.06261 + 3.04213i −0.0839962 + 0.123885i
\(604\) 6.42322 + 1.41386i 0.261357 + 0.0575291i
\(605\) −4.73759 17.0633i −0.192610 0.693720i
\(606\) 4.98115 + 2.99706i 0.202345 + 0.121747i
\(607\) −12.4106 + 14.6109i −0.503732 + 0.593039i −0.953982 0.299863i \(-0.903059\pi\)
0.450250 + 0.892902i \(0.351335\pi\)
\(608\) 0.0109052 + 0.00367439i 0.000442265 + 0.000149016i
\(609\) 3.83296 + 1.77332i 0.155319 + 0.0718584i
\(610\) −4.18444 7.89269i −0.169423 0.319566i
\(611\) 11.0352 2.42904i 0.446438 0.0982685i
\(612\) −2.47162 + 6.20329i −0.0999091 + 0.250753i
\(613\) −4.57752 + 1.54235i −0.184884 + 0.0622948i −0.410221 0.911986i \(-0.634548\pi\)
0.225337 + 0.974281i \(0.427652\pi\)
\(614\) −16.9573 1.84422i −0.684342 0.0744267i
\(615\) −0.301728 + 5.56505i −0.0121669 + 0.224404i
\(616\) −0.730855 13.4798i −0.0294470 0.543118i
\(617\) 10.2512 1.11489i 0.412700 0.0448838i 0.100586 0.994928i \(-0.467928\pi\)
0.312114 + 0.950045i \(0.398963\pi\)
\(618\) 3.78311 1.75025i 0.152179 0.0704055i
\(619\) −28.3259 21.5328i −1.13851 0.865476i −0.146205 0.989254i \(-0.546706\pi\)
−0.992310 + 0.123778i \(0.960499\pi\)
\(620\) −4.27827 3.25226i −0.171819 0.130614i
\(621\) −0.827709 + 0.382939i −0.0332148 + 0.0153668i
\(622\) 20.4635 2.22554i 0.820512 0.0892361i
\(623\) −1.48888 27.4608i −0.0596508 1.10019i
\(624\) −0.119653 + 2.20687i −0.00478996 + 0.0883456i
\(625\) −19.2407 2.09255i −0.769628 0.0837020i
\(626\) −20.7940 + 7.00633i −0.831097 + 0.280029i
\(627\) −0.0267667 + 0.0671794i −0.00106896 + 0.00268289i
\(628\) 14.5895 3.21139i 0.582183 0.128148i
\(629\) −2.20603 4.16102i −0.0879604 0.165911i
\(630\) −1.21183 0.560654i −0.0482806 0.0223370i
\(631\) −26.6804 8.98968i −1.06213 0.357874i −0.266613 0.963804i \(-0.585905\pi\)
−0.795518 + 0.605930i \(0.792801\pi\)
\(632\) 6.69484 7.88177i 0.266306 0.313520i
\(633\) 1.78056 + 1.07133i 0.0707709 + 0.0425814i
\(634\) 2.56085 + 9.22333i 0.101704 + 0.366305i
\(635\) 3.52933 + 0.776864i 0.140057 + 0.0308289i
\(636\) −3.06008 + 4.51329i −0.121340 + 0.178963i
\(637\) 3.82719 + 3.62531i 0.151639 + 0.143640i
\(638\) −10.5860 + 6.36939i −0.419104 + 0.252167i
\(639\) −1.75067 + 10.6786i −0.0692554 + 0.422439i
\(640\) −0.348813 0.514461i −0.0137881 0.0203359i
\(641\) −6.04047 15.1604i −0.238584 0.598802i 0.760115 0.649789i \(-0.225143\pi\)
−0.998699 + 0.0509870i \(0.983763\pi\)
\(642\) −8.53341 10.0463i −0.336787 0.396496i
\(643\) −0.111333 0.679099i −0.00439053 0.0267810i 0.984540 0.175158i \(-0.0560435\pi\)
−0.988931 + 0.148377i \(0.952595\pi\)
\(644\) 1.42234 1.34731i 0.0560481 0.0530915i
\(645\) 0.274526 0.988753i 0.0108094 0.0389321i
\(646\) −0.0359937 + 0.0678913i −0.00141615 + 0.00267115i
\(647\) 22.4495 17.0657i 0.882581 0.670921i −0.0623981 0.998051i \(-0.519875\pi\)
0.944979 + 0.327131i \(0.106082\pi\)
\(648\) −1.00000 −0.0392837
\(649\) −17.5416 44.9693i −0.688568 1.76520i
\(650\) 10.1967 0.399948
\(651\) 14.7862 11.2402i 0.579518 0.440538i
\(652\) 0.515396 0.972140i 0.0201845 0.0380720i
\(653\) 11.9879 43.1766i 0.469124 1.68963i −0.228811 0.973471i \(-0.573484\pi\)
0.697935 0.716161i \(-0.254102\pi\)
\(654\) 4.37997 4.14893i 0.171270 0.162236i
\(655\) 2.25028 + 13.7261i 0.0879257 + 0.536323i
\(656\) −5.80476 6.83390i −0.226638 0.266819i
\(657\) 2.64015 + 6.62629i 0.103002 + 0.258516i
\(658\) −6.16345 9.09041i −0.240276 0.354381i
\(659\) −5.83174 + 35.5720i −0.227172 + 1.38569i 0.589118 + 0.808047i \(0.299475\pi\)
−0.816290 + 0.577642i \(0.803973\pi\)
\(660\) 3.34689 2.01375i 0.130277 0.0783853i
\(661\) 31.8628 + 30.1821i 1.23932 + 1.17395i 0.977980 + 0.208699i \(0.0669230\pi\)
0.261340 + 0.965247i \(0.415836\pi\)
\(662\) −7.85967 + 11.5921i −0.305475 + 0.450541i
\(663\) −14.4131 3.17257i −0.559759 0.123212i
\(664\) 0.367296 + 1.32288i 0.0142539 + 0.0513378i
\(665\) −0.0131660 0.00792170i −0.000510555 0.000307191i
\(666\) 0.456598 0.537549i 0.0176928 0.0208296i
\(667\) −1.69911 0.572496i −0.0657898 0.0221672i
\(668\) 20.5345 + 9.50026i 0.794503 + 0.367576i
\(669\) 2.59016 + 4.88556i 0.100141 + 0.188887i
\(670\) 2.23111 0.491105i 0.0861954 0.0189731i
\(671\) −33.4302 + 83.9034i −1.29056 + 3.23905i
\(672\) 2.03575 0.685924i 0.0785307 0.0264601i
\(673\) 35.8525 + 3.89919i 1.38201 + 0.150303i 0.768736 0.639566i \(-0.220886\pi\)
0.613276 + 0.789869i \(0.289851\pi\)
\(674\) −1.26724 + 23.3729i −0.0488124 + 0.900292i
\(675\) 0.249778 + 4.60689i 0.00961398 + 0.177319i
\(676\) 8.06782 0.877428i 0.310301 0.0337472i
\(677\) −37.2586 + 17.2377i −1.43197 + 0.662498i −0.974016 0.226481i \(-0.927278\pi\)
−0.457949 + 0.888978i \(0.651416\pi\)
\(678\) 4.79018 + 3.64140i 0.183966 + 0.139847i
\(679\) 18.4314 + 14.0112i 0.707330 + 0.537699i
\(680\) 3.76691 1.74276i 0.144454 0.0668317i
\(681\) 7.69743 0.837145i 0.294966 0.0320795i
\(682\) 2.94154 + 54.2536i 0.112638 + 2.07748i
\(683\) −2.52054 + 46.4886i −0.0964458 + 1.77884i 0.405653 + 0.914027i \(0.367044\pi\)
−0.502098 + 0.864810i \(0.667438\pi\)
\(684\) −0.0114401 0.00124419i −0.000437424 4.75728e-5i
\(685\) −12.2866 + 4.13984i −0.469447 + 0.158175i
\(686\) 7.46249 18.7294i 0.284919 0.715093i
\(687\) −13.9469 + 3.06995i −0.532109 + 0.117126i
\(688\) 0.773308 + 1.45861i 0.0294821 + 0.0556092i
\(689\) −10.9376 5.06029i −0.416690 0.192782i
\(690\) 0.537192 + 0.181001i 0.0204506 + 0.00689059i
\(691\) −25.8175 + 30.3947i −0.982142 + 1.15627i 0.00556983 + 0.999984i \(0.498227\pi\)
−0.987712 + 0.156283i \(0.950049\pi\)
\(692\) 2.02082 + 1.21589i 0.0768200 + 0.0462211i
\(693\) 3.61153 + 13.0076i 0.137191 + 0.494117i
\(694\) 0.0358190 + 0.00788437i 0.00135967 + 0.000299286i
\(695\) −1.28630 + 1.89715i −0.0487920 + 0.0719629i
\(696\) −1.42729 1.35200i −0.0541011 0.0512473i
\(697\) 51.3035 30.8683i 1.94326 1.16922i
\(698\) 4.42083 26.9659i 0.167331 1.02067i
\(699\) −4.04536 5.96646i −0.153009 0.225672i
\(700\) −3.66846 9.20715i −0.138655 0.347997i
\(701\) 14.4232 + 16.9803i 0.544758 + 0.641339i 0.963799 0.266628i \(-0.0859097\pi\)
−0.419041 + 0.907967i \(0.637634\pi\)
\(702\) −0.357557 2.18100i −0.0134951 0.0823165i
\(703\) 0.00589236 0.00558154i 0.000222234 0.000210512i
\(704\) −1.68119 + 6.05510i −0.0633622 + 0.228210i
\(705\) 1.48851 2.80763i 0.0560605 0.105741i
\(706\) −0.841375 + 0.639596i −0.0316656 + 0.0240715i
\(707\) 12.4881 0.469663
\(708\) 6.14837 4.60408i 0.231070 0.173032i
\(709\) −47.7431 −1.79303 −0.896515 0.443013i \(-0.853910\pi\)
−0.896515 + 0.443013i \(0.853910\pi\)
\(710\) 5.35455 4.07043i 0.200953 0.152760i
\(711\) −4.84397 + 9.13669i −0.181663 + 0.342653i
\(712\) −3.42488 + 12.3353i −0.128353 + 0.462286i
\(713\) −5.72463 + 5.42266i −0.214389 + 0.203080i
\(714\) 2.32072 + 14.1557i 0.0868506 + 0.529765i
\(715\) 5.58870 + 6.57953i 0.209006 + 0.246060i
\(716\) −5.08521 12.7629i −0.190043 0.476972i
\(717\) 3.74925 + 5.52973i 0.140018 + 0.206512i
\(718\) 1.20705 7.36268i 0.0450467 0.274773i
\(719\) 3.93749 2.36911i 0.146844 0.0883529i −0.440236 0.897882i \(-0.645105\pi\)
0.587080 + 0.809529i \(0.300278\pi\)
\(720\) 0.451252 + 0.427449i 0.0168172 + 0.0159301i
\(721\) 5.02514 7.41153i 0.187146 0.276020i
\(722\) 18.5557 + 4.08441i 0.690570 + 0.152006i
\(723\) −5.75016 20.7102i −0.213851 0.770221i
\(724\) −6.10510 3.67332i −0.226894 0.136518i
\(725\) −5.87200 + 6.91305i −0.218081 + 0.256744i
\(726\) −26.9992 9.09710i −1.00204 0.337625i
\(727\) −37.9688 17.5662i −1.40819 0.651496i −0.439149 0.898414i \(-0.644720\pi\)
−0.969036 + 0.246918i \(0.920582\pi\)
\(728\) 2.22389 + 4.19471i 0.0824230 + 0.155466i
\(729\) 0.976621 0.214970i 0.0361711 0.00796187i
\(730\) 1.64102 4.11866i 0.0607370 0.152438i
\(731\) −10.4471 + 3.52003i −0.386399 + 0.130193i
\(732\) −14.2881 1.55392i −0.528103 0.0574347i
\(733\) −0.571899 + 10.5480i −0.0211236 + 0.389601i 0.968786 + 0.247899i \(0.0797402\pi\)
−0.989909 + 0.141702i \(0.954743\pi\)
\(734\) −0.124982 2.30515i −0.00461315 0.0850846i
\(735\) 1.47388 0.160295i 0.0543651 0.00591256i
\(736\) −0.827709 + 0.382939i −0.0305098 + 0.0141153i
\(737\) −18.3874 13.9778i −0.677310 0.514878i
\(738\) 7.13814 + 5.42627i 0.262758 + 0.199744i
\(739\) 14.3050 6.61820i 0.526218 0.243455i −0.138748 0.990328i \(-0.544308\pi\)
0.664967 + 0.746873i \(0.268446\pi\)
\(740\) −0.435815 + 0.0473978i −0.0160209 + 0.00174238i
\(741\) −0.00137692 0.0253958i −5.05824e−5 0.000932938i
\(742\) −0.634176 + 11.6967i −0.0232813 + 0.429399i
\(743\) 29.5510 + 3.21386i 1.08412 + 0.117905i 0.632693 0.774403i \(-0.281950\pi\)
0.451427 + 0.892308i \(0.350915\pi\)
\(744\) −8.19348 + 2.76070i −0.300387 + 0.101212i
\(745\) 4.53124 11.3725i 0.166012 0.416658i
\(746\) 36.5585 8.04713i 1.33850 0.294626i
\(747\) −0.643090 1.21300i −0.0235294 0.0443812i
\(748\) −38.0844 17.6197i −1.39250 0.644240i
\(749\) −26.8339 9.04139i −0.980489 0.330365i
\(750\) 3.86846 4.55430i 0.141256 0.166299i
\(751\) −16.8642 10.1469i −0.615383 0.370264i 0.173476 0.984838i \(-0.444500\pi\)
−0.788859 + 0.614574i \(0.789328\pi\)
\(752\) 1.36776 + 4.92624i 0.0498772 + 0.179642i
\(753\) 2.15049 + 0.473359i 0.0783683 + 0.0172502i
\(754\) 2.43837 3.59633i 0.0888002 0.130970i
\(755\) 2.96788 + 2.81133i 0.108012 + 0.102315i
\(756\) −1.84070 + 1.10751i −0.0669456 + 0.0402799i
\(757\) −1.06316 + 6.48497i −0.0386411 + 0.235700i −0.999085 0.0427740i \(-0.986380\pi\)
0.960444 + 0.278474i \(0.0898287\pi\)
\(758\) −6.12189 9.02911i −0.222357 0.327952i
\(759\) −2.12132 5.32411i −0.0769990