Properties

Label 354.2.e.b.25.2
Level 354
Weight 2
Character 354.25
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 25.2
Character \(\chi\) = 354.25
Dual form 354.2.e.b.85.2

$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{6}{29}\right)\) \(1\)

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 0.781928 0.623369i \(-0.214236\pi\)
−0.580122 + 0.814530i \(0.696995\pi\)
\(6\) −0.161782 + 0.986827i −0.0660472 + 0.402870i
\(7\) −1.39072 + 1.63728i −0.525641 + 0.618832i −0.959349 0.282221i \(-0.908929\pi\)
0.433709 + 0.901053i \(0.357205\pi\)
\(8\) 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 0.976809 + 0.214113i \(0.0686860\pi\)
0.646717 + 0.762730i \(0.276142\pi\)
\(12\) 0.725995 0.687699i 0.209577 0.198522i
\(13\) −1.24029 1.82929i −0.343994 0.507353i 0.615859 0.787856i \(-0.288809\pi\)
−0.959853 + 0.280503i \(0.909499\pi\)
\(14\) 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 0.971430 + 0.237327i \(0.0762712\pi\)
0.0770403 + 0.997028i \(0.475453\pi\)
\(18\) 0.947653 0.319302i 0.223364 0.0752601i
\(19\) 0.0104440 0.00483191i 0.00239602 0.00110852i −0.418691 0.908129i \(-0.637511\pi\)
0.421087 + 0.907020i \(0.361649\pi\)
\(20\) −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 0.227750 0.973720i \(-0.426863\pi\)
−0.407960 + 0.913000i \(0.633760\pi\)
\(24\) −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 −0.449691 0.893184i \(-0.648466\pi\)
0.740322 + 0.672252i \(0.234673\pi\)
\(30\) −0.494822 + 0.376154i −0.0903418 + 0.0686760i
\(31\) 7.84696 + 3.63039i 1.40936 + 0.652038i 0.969288 0.245927i \(-0.0790923\pi\)
0.440068 + 0.897965i \(0.354954\pi\)
\(32\) 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 0.948873 0.315658i \(-0.102225\pi\)
−0.905956 + 0.423373i \(0.860846\pi\)
\(38\) −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 0.435536 0.900171i \(-0.356559\pi\)
0.891488 + 0.453045i \(0.149662\pi\)
\(42\) −1.39072 1.63728i −0.214592 0.252637i
\(43\) −1.41461 + 0.851142i −0.215726 + 0.129798i −0.619316 0.785142i \(-0.712590\pi\)
0.403590 + 0.914940i \(0.367762\pi\)
\(44\) −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 −0.908809 0.417213i \(-0.863007\pi\)
0.367399 + 0.930063i \(0.380248\pi\)
\(48\) 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 −0.854422 0.519580i \(-0.826089\pi\)
0.975598 0.219563i \(-0.0704632\pi\)
\(54\) −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 −0.969525 0.244991i \(-0.921215\pi\)
−0.495437 0.868644i \(-0.664992\pi\)
\(62\) −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 −0.988362 0.152121i \(-0.951390\pi\)
0.822160 + 0.569257i \(0.192769\pi\)
\(68\) −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 −0.993369 0.114968i \(-0.963323\pi\)
0.0610194 + 0.998137i \(0.480565\pi\)
\(72\) 0.561187 + 0.827689i 0.0661365 + 0.0975441i
\(73\) −6.96612 + 1.53336i −0.815323 + 0.179466i −0.603008 0.797735i \(-0.706031\pi\)
−0.212315 + 0.977201i \(0.568100\pi\)
\(74\) 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 0.446129 + 0.894969i \(0.352802\pi\)
−0.991117 + 0.132989i \(0.957542\pi\)
\(80\) −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 −0.0329043 0.999459i \(-0.510476\pi\)
0.182719 + 0.983165i \(0.441510\pi\)
\(84\) 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 0.0955904 0.995421i \(-0.469526\pi\)
0.984711 + 0.174197i \(0.0557330\pi\)
\(90\) 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 −0.354415 0.935088i \(-0.615320\pi\)
−0.714292 + 0.699848i \(0.753251\pi\)
\(98\) 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 0.542351 0.840152i \(-0.317534\pi\)
−0.916827 + 0.399285i \(0.869258\pi\)
\(102\) −5.72171 + 3.44264i −0.566533 + 0.340872i
\(103\) 1.11516 4.01643i 0.109880 0.395751i −0.888073 0.459702i \(-0.847956\pi\)
0.997953 + 0.0639509i \(0.0203701\pi\)
\(104\) −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 0.943302 0.331936i \(-0.107702\pi\)
0.148581 + 0.988900i \(0.452530\pi\)
\(108\) 0.161782 + 0.986827i 0.0155675 + 0.0949574i
\(109\) 3.38567 4.99349i 0.324289 0.478290i −0.630244 0.776397i \(-0.717045\pi\)
0.954532 + 0.298107i \(0.0963553\pi\)
\(110\) 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 0.454110 0.890946i \(-0.349957\pi\)
−0.865054 + 0.501679i \(0.832716\pi\)
\(114\) 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 −0.654914 0.755703i \(-0.727295\pi\)
0.944440 + 0.328685i \(0.106606\pi\)
\(128\) 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 −0.722865 0.690990i \(-0.757175\pi\)
−0.374354 0.927286i \(-0.622135\pi\)
\(132\) 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 −0.999286 0.0377907i \(-0.987968\pi\)
−0.618121 + 0.786083i \(0.712106\pi\)
\(138\) 0.427188 0.805763i 0.0363647 0.0685911i
\(139\) −3.60142 0.792733i −0.305469 0.0672388i 0.0595909 0.998223i \(-0.481020\pi\)
−0.365060 + 0.930984i \(0.618951\pi\)
\(140\) −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 0.980299 0.197518i \(-0.0632881\pi\)
0.484091 + 0.875017i \(0.339150\pi\)
\(150\) 4.58661 + 0.498824i 0.374495 + 0.0407288i
\(151\) 0.356071 6.56734i 0.0289766 0.534443i −0.947625 0.319386i \(-0.896523\pi\)
0.976601 0.215057i \(-0.0689938\pi\)
\(152\) −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 −0.430140 0.902762i \(-0.641536\pi\)
0.988595 0.150596i \(-0.0481194\pi\)
\(158\) 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 −0.172687 0.984977i \(-0.555245\pi\)
0.256855 + 0.966450i \(0.417314\pi\)
\(164\) 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 −0.618635 0.785679i \(-0.712314\pi\)
0.335383 0.942082i \(-0.391134\pi\)
\(168\) 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 0.935685 0.352836i \(-0.114783\pi\)
−0.983655 + 0.180066i \(0.942369\pi\)
\(174\) 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 0.928061 0.372429i \(-0.121475\pi\)
−0.110571 + 0.993868i \(0.535268\pi\)
\(180\) −0.291146 0.549159i −0.0217007 0.0409319i
\(181\) 1.90614 + 6.86529i 0.141682 + 0.510293i 0.999996 0.00283206i \(-0.000901475\pi\)
−0.858314 + 0.513125i \(0.828488\pi\)
\(182\) −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 −0.0996004 0.995028i \(-0.531756\pi\)
0.327406 + 0.944884i \(0.393825\pi\)
\(192\) −0.267528 + 0.963550i −0.0193072 + 0.0695382i
\(193\) 5.23772 3.15143i 0.377019 0.226845i −0.314413 0.949286i \(-0.601808\pi\)
0.691432 + 0.722441i \(0.256980\pi\)
\(194\) 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 0.0865626 0.996246i \(-0.472412\pi\)
0.776004 0.630727i \(-0.217243\pi\)
\(198\) 6.13724 + 1.35091i 0.436154 + 0.0960049i
\(199\) −7.97097 20.0056i −0.565047 1.41816i −0.882692 0.469952i \(-0.844271\pi\)
0.317644 0.948210i \(-0.397108\pi\)
\(200\) −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 0.999848 + 0.0174230i \(0.00554620\pi\)
−0.992103 + 0.125423i \(0.959971\pi\)
\(212\) 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 0.917282 0.398239i \(-0.130379\pi\)
−0.709476 + 0.704730i \(0.751068\pi\)
\(224\) −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 −0.944098 0.329666i \(-0.893064\pi\)
0.655699 + 0.755023i \(0.272374\pi\)
\(228\) 0.00425940 0.0106903i 0.000282086 0.000707981i
\(229\) 9.24520 10.8843i 0.610940 0.719255i −0.366511 0.930414i \(-0.619448\pi\)
0.977452 + 0.211159i \(0.0677238\pi\)
\(230\) −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 0.747926 0.663782i \(-0.231050\pi\)
−0.969132 + 0.246544i \(0.920705\pi\)
\(234\) −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 0.963852 0.266437i \(-0.0858463\pi\)
−0.761428 + 0.648249i \(0.775501\pi\)
\(240\) 0.166286 + 0.598907i 0.0107337 + 0.0386593i
\(241\) −15.6043 14.7812i −1.00516 0.952140i −0.00630656 0.999980i \(-0.502007\pi\)
−0.998855 + 0.0478405i \(0.984766\pi\)
\(242\) 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 −0.979812 0.199921i \(-0.935931\pi\)
0.942629 + 0.333842i \(0.108345\pi\)
\(252\) 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 0.0229795 0.999736i \(-0.492685\pi\)
−0.398923 + 0.916985i \(0.630616\pi\)
\(258\) −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 −0.581662 0.813431i \(-0.697597\pi\)
−0.742927 + 0.669373i \(0.766563\pi\)
\(264\) −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 0.969170 + 0.246393i \(0.0792456\pi\)
−0.990128 + 0.140163i \(0.955237\pi\)
\(270\) −0.0336508 0.620652i −0.00204792 0.0377717i
\(271\) −14.7833 + 1.60778i −0.898022 + 0.0976657i −0.545474 0.838128i \(-0.683650\pi\)
−0.352548 + 0.935794i \(0.614685\pi\)
\(272\) −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 −0.893279 0.449502i \(-0.851601\pi\)
−0.439106 + 0.898435i \(0.644705\pi\)
\(278\) 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 −0.676591 0.736359i \(-0.736543\pi\)
−0.304868 + 0.952395i \(0.598612\pi\)
\(282\) −2.86912 4.23164i −0.170854 0.251990i
\(283\) 16.3446 15.4824i 0.971585 0.920334i −0.0252623 0.999681i \(-0.508042\pi\)
0.996847 + 0.0793469i \(0.0252835\pi\)
\(284\) −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 0.608552 0.793514i \(-0.291751\pi\)
−0.601786 + 0.798657i \(0.705544\pi\)
\(294\) −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 −0.247348 0.968927i \(-0.579559\pi\)
0.954114 + 0.299442i \(0.0968006\pi\)
\(308\) −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 −0.918718 0.394914i \(-0.870774\pi\)
−0.0814240 + 0.996680i \(0.525947\pi\)
\(312\) 1.43080 + 1.68447i 0.0810030 + 0.0953641i
\(313\) 20.7940 7.00633i 1.17535 0.396021i 0.337184 0.941439i \(-0.390526\pi\)
0.838164 + 0.545418i \(0.183629\pi\)
\(314\) −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 0.994282 0.106791i \(-0.0340575\pi\)
−0.795284 + 0.606237i \(0.792678\pi\)
\(318\) 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 0.659457 0.751742i \(-0.270786\pi\)
0.0700542 + 0.997543i \(0.477683\pi\)
\(332\) 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 0.999917 0.0128520i \(-0.00409104\pi\)
−0.174451 + 0.984666i \(0.555815\pi\)
\(338\) −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 −0.762799 0.646636i \(-0.776175\pi\)
0.761524 + 0.648136i \(0.224451\pi\)
\(348\) 0.318059 1.94007i 0.0170497 0.103999i
\(349\) −19.8385 18.7920i −1.06193 1.00591i −0.999969 0.00783312i \(-0.997507\pi\)
−0.0619589 0.998079i \(-0.519735\pi\)
\(350\) −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 0.531299 0.847184i \(-0.321704\pi\)
−0.817178 + 0.576386i \(0.804463\pi\)
\(360\) −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 0.792372 0.610038i \(-0.208846\pi\)
−0.859998 + 0.510297i \(0.829535\pi\)
\(368\) 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 −0.776011 + 0.630719i \(0.782760\pi\)
−0.983089 + 0.183127i \(0.941378\pi\)
\(374\) 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 −0.973710 0.227793i \(-0.926849\pi\)
0.943373 0.331734i \(-0.107634\pi\)
\(380\) −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 −0.745051 0.667008i \(-0.767575\pi\)
0.443373 + 0.896337i \(0.353782\pi\)
\(384\) 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 0.378574 0.925571i \(-0.376415\pi\)
0.568694 + 0.822549i \(0.307449\pi\)
\(390\) 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 −0.226751 0.973953i \(-0.572810\pi\)
0.754287 + 0.656545i \(0.227983\pi\)
\(398\) −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 −0.900434 0.434992i \(-0.856751\pi\)
0.385605 + 0.922664i \(0.373993\pi\)
\(402\) −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 0.987274 0.159029i \(-0.0508364\pi\)
−0.927941 + 0.372728i \(0.878423\pi\)
\(410\) −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 −0.974124 0.226015i \(-0.927430\pi\)
0.995298 + 0.0968555i \(0.0308785\pi\)
\(420\) −0.864418 + 1.01767i −0.0421793 + 0.0496573i
\(421\) 0.519200 1.30309i 0.0253042 0.0635089i −0.915782 0.401676i \(-0.868428\pi\)
0.941086 + 0.338167i \(0.109807\pi\)
\(422\) 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 −0.386742 0.922188i \(-0.626400\pi\)
0.250201 + 0.968194i \(0.419503\pi\)
\(432\) −0.907575 + 0.419889i −0.0436657 + 0.0202019i
\(433\) 13.2926 25.0726i 0.638803 1.20491i −0.326850 0.945076i \(-0.605987\pi\)
0.965653 0.259834i \(-0.0836680\pi\)
\(434\) 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 0.953052 + 0.302806i \(0.0979235\pi\)
−0.980204 + 0.197988i \(0.936559\pi\)
\(440\) 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 0.313559 0.949569i \(-0.398479\pi\)
0.998843 0.0480936i \(-0.0153146\pi\)
\(444\) 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 0.692221 0.721686i \(-0.256632\pi\)
0.114327 + 0.993443i \(0.463529\pi\)
\(450\) −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 0.763721 + 0.645546i \(0.223370\pi\)
−0.987214 + 0.159402i \(0.949044\pi\)
\(458\) −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 0.872311 0.488952i \(-0.162621\pi\)
−0.0233967 + 0.999726i \(0.507448\pi\)
\(462\) −2.18400 13.3218i −0.101609 0.619786i
\(463\) 19.9403 29.4097i 0.926703 1.36678i −0.00360014 0.999994i \(-0.501146\pi\)
0.930303 0.366791i \(-0.119544\pi\)
\(464\) −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 0.949866 0.312657i \(-0.101219\pi\)
−0.260773 + 0.965400i \(0.583978\pi\)
\(468\) 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 −0.695693 0.718339i \(-0.744903\pi\)
0.821426 + 0.570314i \(0.193179\pi\)
\(480\) 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 0.724558 + 0.689214i \(0.242044\pi\)
−0.976169 + 0.217010i \(0.930370\pi\)
\(488\) −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 −0.867253 0.497868i \(-0.834117\pi\)
−0.181992 + 0.983300i \(0.558254\pi\)
\(492\) 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 0.537402 0.843327i \(-0.319406\pi\)
0.343547 + 0.939135i \(0.388371\pi\)
\(500\) 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 0.0191119 0.999817i \(-0.493916\pi\)
−0.749650 + 0.661834i \(0.769778\pi\)
\(504\) −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 0.958617 + 0.284700i \(0.0918939\pi\)
−0.500164 + 0.865931i \(0.666727\pi\)
\(510\) −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 0.976785 + 0.214220i \(0.0687211\pi\)
−0.857253 + 0.514896i \(0.827831\pi\)
\(522\) 1.10328 1.62721i 0.0482891 0.0712211i
\(523\) 9.09182 22.8187i 0.397557 0.997794i −0.584866 0.811130i \(-0.698853\pi\)
0.982424 0.186664i \(-0.0597676\pi\)
\(524\) 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 0.994691 0.102904i \(-0.0328136\pi\)
−0.975480 + 0.220089i \(0.929365\pi\)
\(542\) 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 −0.644954 0.764222i \(-0.723123\pi\)
0.373097 + 0.927792i \(0.378296\pi\)
\(548\) −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 0.939209 + 0.343347i \(0.111561\pi\)
−0.970825 + 0.239788i \(0.922922\pi\)
\(558\) 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 −0.379789 0.925073i \(-0.624003\pi\)
−0.569773 + 0.821802i \(0.692969\pi\)
\(564\) −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 0.364734 0.931112i \(-0.381160\pi\)
−0.0599405 + 0.998202i \(0.519091\pi\)
\(570\) −0.00335038 + 0.00631949i −0.000140332 + 0.000264695i
\(571\) 23.3385 10.7975i 0.976685 0.451863i 0.134419 0.990925i \(-0.457083\pi\)
0.842266 + 0.539062i \(0.181221\pi\)
\(572\) 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 0.863730 0.503955i \(-0.168122\pi\)
−0.787862 + 0.615852i \(0.788812\pi\)
\(578\) 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 0.991973 0.126449i \(-0.0403580\pi\)
−0.661343 + 0.750084i \(0.730013\pi\)
\(588\) 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 0.930086 + 0.367342i \(0.119732\pi\)
−0.217907 + 0.975970i \(0.569923\pi\)
\(594\) −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 −0.401109 0.916030i \(-0.631375\pi\)
0.999437 + 0.0335634i \(0.0106856\pi\)
\(600\) 0.746407 + 4.55288i 0.0304719 + 0.185871i
\(601\) −26.5013 15.9453i −1.08101 0.650422i −0.140462 0.990086i \(-0.544859\pi\)
−0.940547 + 0.339664i \(0.889686\pi\)
\(602\) −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 0.450250 0.892902i \(-0.351335\pi\)
−0.953982 + 0.299863i \(0.903059\pi\)
\(608\) 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 0.225337 0.974281i \(-0.427652\pi\)
−0.410221 + 0.911986i \(0.634548\pi\)
\(614\) −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 0.312114 0.950045i \(-0.398963\pi\)
0.100586 + 0.994928i \(0.467928\pi\)
\(618\) 3.78311 + 1.75025i 0.152179 + 0.0704055i
\(619\) −28.3259 + 21.5328i −1.13851 + 0.865476i −0.992310 0.123778i \(-0.960499\pi\)
−0.146205 + 0.989254i \(0.546706\pi\)
\(620\) −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 −0.795518 0.605930i \(-0.792801\pi\)
−0.266613 + 0.963804i \(0.585905\pi\)
\(632\) 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 −0.998699 0.0509870i \(-0.983763\pi\)
0.760115 + 0.649789i \(0.225143\pi\)
\(642\) −8.53341 + 10.0463i −0.336787 + 0.396496i
\(643\) −0.111333 + 0.679099i −0.00439053 + 0.0267810i −0.988931 0.148377i \(-0.952595\pi\)
0.984540 + 0.175158i \(0.0560435\pi\)
\(644\) 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 0.944979 0.327131i \(-0.106082\pi\)
−0.0623981 + 0.998051i \(0.519875\pi\)
\(648\) −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 0.697935 + 0.716161i \(0.254102\pi\)
−0.228811 + 0.973471i \(0.573484\pi\)
\(654\) 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 −0.816290 0.577642i \(-0.803973\pi\)
0.589118 0.808047i \(-0.299475\pi\)
\(660\) 3.34689 + 2.01375i 0.130277 + 0.0783853i
\(661\) 31.8628 30.1821i 1.23932 1.17395i 0.261340 0.965247i \(-0.415836\pi\)
0.977980 0.208699i \(-0.0669230\pi\)
\(662\) −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 0.613276 0.789869i \(-0.289851\pi\)
0.768736 + 0.639566i \(0.220886\pi\)
\(674\) −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 −0.457949 0.888978i \(-0.651416\pi\)
−0.974016 + 0.226481i \(0.927278\pi\)
\(678\) 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 −0.502098 0.864810i \(-0.667438\pi\)
0.405653 0.914027i \(-0.367044\pi\)
\(684\) −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 −0.987712 0.156283i \(-0.950049\pi\)
0.00556983 0.999984i \(-0.498227\pi\)
\(692\) 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 −0.419041 0.907967i \(-0.637634\pi\)
0.963799 + 0.266628i \(0.0859097\pi\)
\(702\) −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 0.587080 0.809529i \(-0.300278\pi\)
−0.440236 + 0.897882i \(0.645105\pi\)
\(720\) 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 −0.969036 0.246918i \(-0.920582\pi\)
−0.439149 + 0.898414i \(0.644720\pi\)
\(728\) 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 −0.989909 0.141702i \(-0.954743\pi\)
0.968786 0.247899i \(-0.0797402\pi\)
\(734\) −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 0.664967 0.746873i \(-0.268446\pi\)
−0.138748 + 0.990328i \(0.544308\pi\)
\(740\) −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 0.451427 0.892308i \(-0.350915\pi\)
0.632693 + 0.774403i \(0.281950\pi\)
\(744\) −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 −0.788859 0.614574i \(-0.789328\pi\)
0.173476 + 0.984838i \(0.444500\pi\)
\(752\) 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 0.960444 0.278474i \(-0.0898287\pi\)
−0.999085 + 0.0427740i \(0.986380\pi\)
\(758\) −6.12189 + 9.02911i −0.222357 + 0.327952i
\(759\) −2.12132 + 5.32411i −0.0769990 + 0.193253i