Properties

Label 690.2.w.b.37.7
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.7
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.b.373.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.877679 + 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-2.09572 - 0.779713i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-0.448960 - 1.20371i) q^{7} +(0.0713392 + 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(0.877679 + 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-2.09572 - 0.779713i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-0.448960 - 1.20371i) q^{7} +(0.0713392 + 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(-1.46569 - 1.68871i) q^{10} +(0.00232980 - 0.00793457i) q^{11} +(-0.479249 - 0.877679i) q^{12} +(5.34764 + 1.99457i) q^{13} +(0.182833 - 1.27163i) q^{14} +(2.03476 + 0.927233i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(1.76969 - 0.384973i) q^{17} +(0.800541 + 0.599278i) q^{18} +(5.16179 - 3.31728i) q^{19} +(-0.477097 - 2.18458i) q^{20} +(0.361945 + 1.23267i) q^{21} +(0.00584745 - 0.00584745i) q^{22} +(1.70179 - 4.48374i) q^{23} -1.00000i q^{24} +(3.78410 + 3.26812i) q^{25} +(3.73761 + 4.31344i) q^{26} +(-0.977147 - 0.212565i) q^{27} +(0.769898 - 1.02846i) q^{28} +(3.74079 - 5.82078i) q^{29} +(1.34149 + 1.78897i) q^{30} +(1.20413 - 1.38964i) q^{31} +(-0.800541 + 0.599278i) q^{32} +(-0.00288991 + 0.00774814i) q^{33} +(1.73772 + 0.510241i) q^{34} +(0.00234851 + 2.87270i) q^{35} +(0.415415 + 0.909632i) q^{36} +(-1.50039 - 2.00428i) q^{37} +(6.12020 - 0.437725i) q^{38} +(-5.19172 - 2.37098i) q^{39} +(0.628219 - 2.14601i) q^{40} +(0.636167 + 4.42464i) q^{41} +(-0.273085 + 1.25535i) q^{42} +(-0.451519 + 6.31307i) q^{43} +(0.00793457 - 0.00232980i) q^{44} +(-1.96343 - 1.07003i) q^{45} +(3.64246 - 3.11970i) q^{46} +(0.432950 + 0.432950i) q^{47} +(0.479249 - 0.877679i) q^{48} +(4.04290 - 3.50319i) q^{49} +(1.75498 + 4.68189i) q^{50} +(-1.79265 + 0.257744i) q^{51} +(1.21322 + 5.57706i) q^{52} +(-11.7829 + 4.39479i) q^{53} +(-0.755750 - 0.654861i) q^{54} +(-0.0110693 + 0.0148121i) q^{55} +(1.16861 - 0.533688i) q^{56} +(-5.38529 + 2.94059i) q^{57} +(6.07282 - 3.31601i) q^{58} +(-3.99100 + 1.82263i) q^{59} +(0.320035 + 2.21305i) q^{60} +(1.16714 + 1.01133i) q^{61} +(1.72283 - 0.642582i) q^{62} +(-0.273085 - 1.25535i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(-9.65197 - 8.34967i) q^{65} +(-0.00624970 + 0.00541540i) q^{66} +(2.37799 - 4.35496i) q^{67} +(1.28063 + 1.28063i) q^{68} +(-2.01732 + 4.35091i) q^{69} +(-1.37468 + 2.52243i) q^{70} +(13.8586 - 4.06927i) q^{71} +(-0.0713392 + 0.997452i) q^{72} +(-2.82922 + 13.0057i) q^{73} +(-0.356308 - 2.47817i) q^{74} +(-3.54131 - 3.52975i) q^{75} +(5.58135 + 2.54892i) q^{76} +(-0.0105969 + 0.000757905i) q^{77} +(-3.42037 - 4.56909i) q^{78} +(-5.54935 - 12.1514i) q^{79} +(1.57985 - 1.58243i) q^{80} +(0.959493 + 0.281733i) q^{81} +(-1.56215 + 4.18829i) q^{82} +(-2.53753 + 1.89957i) q^{83} +(-0.841306 + 0.970919i) q^{84} +(-4.00895 - 0.573056i) q^{85} +(-3.42182 + 5.32446i) q^{86} +(-4.14651 + 5.53909i) q^{87} +(0.00808056 + 0.00175782i) q^{88} +(-1.24013 - 1.43119i) q^{89} +(-1.21045 - 1.88011i) q^{90} -7.33247i q^{91} +(4.69202 - 0.992450i) q^{92} +(-1.30020 + 1.30020i) q^{93} +(0.172500 + 0.587482i) q^{94} +(-13.4042 + 2.92738i) q^{95} +(0.841254 - 0.540641i) q^{96} +(-4.18289 - 3.13127i) q^{97} +(5.22727 - 1.13712i) q^{98} +(0.00343529 - 0.00752224i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.877679 + 0.479249i 0.620613 + 0.338880i
\(3\) −0.997452 0.0713392i −0.575879 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) −2.09572 0.779713i −0.937235 0.348698i
\(6\) −0.841254 0.540641i −0.343440 0.220716i
\(7\) −0.448960 1.20371i −0.169691 0.454959i 0.824070 0.566488i \(-0.191698\pi\)
−0.993761 + 0.111529i \(0.964425\pi\)
\(8\) 0.0713392 + 0.997452i 0.0252222 + 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) −1.46569 1.68871i −0.463493 0.534017i
\(11\) 0.00232980 0.00793457i 0.000702461 0.00239236i −0.959141 0.282929i \(-0.908694\pi\)
0.959843 + 0.280536i \(0.0905123\pi\)
\(12\) −0.479249 0.877679i −0.138347 0.253364i
\(13\) 5.34764 + 1.99457i 1.48317 + 0.553193i 0.955171 0.296054i \(-0.0956708\pi\)
0.527996 + 0.849247i \(0.322943\pi\)
\(14\) 0.182833 1.27163i 0.0488642 0.339858i
\(15\) 2.03476 + 0.927233i 0.525372 + 0.239411i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) 1.76969 0.384973i 0.429214 0.0933697i 0.00723156 0.999974i \(-0.497698\pi\)
0.421982 + 0.906604i \(0.361334\pi\)
\(18\) 0.800541 + 0.599278i 0.188689 + 0.141251i
\(19\) 5.16179 3.31728i 1.18420 0.761037i 0.208043 0.978120i \(-0.433291\pi\)
0.976153 + 0.217083i \(0.0696543\pi\)
\(20\) −0.477097 2.18458i −0.106682 0.488486i
\(21\) 0.361945 + 1.23267i 0.0789828 + 0.268991i
\(22\) 0.00584745 0.00584745i 0.00124668 0.00124668i
\(23\) 1.70179 4.48374i 0.354849 0.934924i
\(24\) 1.00000i 0.204124i
\(25\) 3.78410 + 3.26812i 0.756819 + 0.653624i
\(26\) 3.73761 + 4.31344i 0.733007 + 0.845935i
\(27\) −0.977147 0.212565i −0.188052 0.0409082i
\(28\) 0.769898 1.02846i 0.145497 0.194361i
\(29\) 3.74079 5.82078i 0.694647 1.08089i −0.297366 0.954763i \(-0.596108\pi\)
0.992014 0.126129i \(-0.0402553\pi\)
\(30\) 1.34149 + 1.78897i 0.244921 + 0.326619i
\(31\) 1.20413 1.38964i 0.216269 0.249587i −0.637241 0.770665i \(-0.719924\pi\)
0.853509 + 0.521077i \(0.174470\pi\)
\(32\) −0.800541 + 0.599278i −0.141517 + 0.105938i
\(33\) −0.00288991 + 0.00774814i −0.000503068 + 0.00134878i
\(34\) 1.73772 + 0.510241i 0.298017 + 0.0875056i
\(35\) 0.00234851 + 2.87270i 0.000396971 + 0.485574i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) −1.50039 2.00428i −0.246662 0.329502i 0.660074 0.751201i \(-0.270525\pi\)
−0.906736 + 0.421699i \(0.861434\pi\)
\(38\) 6.12020 0.437725i 0.992827 0.0710084i
\(39\) −5.19172 2.37098i −0.831341 0.379661i
\(40\) 0.628219 2.14601i 0.0993301 0.339313i
\(41\) 0.636167 + 4.42464i 0.0993525 + 0.691012i 0.977239 + 0.212143i \(0.0680441\pi\)
−0.877886 + 0.478869i \(0.841047\pi\)
\(42\) −0.273085 + 1.25535i −0.0421379 + 0.193705i
\(43\) −0.451519 + 6.31307i −0.0688561 + 0.962734i 0.839183 + 0.543849i \(0.183033\pi\)
−0.908039 + 0.418885i \(0.862421\pi\)
\(44\) 0.00793457 0.00232980i 0.00119618 0.000351230i
\(45\) −1.96343 1.07003i −0.292690 0.159510i
\(46\) 3.64246 3.11970i 0.537051 0.459974i
\(47\) 0.432950 + 0.432950i 0.0631522 + 0.0631522i 0.737978 0.674825i \(-0.235781\pi\)
−0.674825 + 0.737978i \(0.735781\pi\)
\(48\) 0.479249 0.877679i 0.0691736 0.126682i
\(49\) 4.04290 3.50319i 0.577557 0.500456i
\(50\) 1.75498 + 4.68189i 0.248191 + 0.662119i
\(51\) −1.79265 + 0.257744i −0.251021 + 0.0360914i
\(52\) 1.21322 + 5.57706i 0.168243 + 0.773399i
\(53\) −11.7829 + 4.39479i −1.61851 + 0.603671i −0.985379 0.170377i \(-0.945502\pi\)
−0.633127 + 0.774048i \(0.718229\pi\)
\(54\) −0.755750 0.654861i −0.102844 0.0891153i
\(55\) −0.0110693 + 0.0148121i −0.00149258 + 0.00199726i
\(56\) 1.16861 0.533688i 0.156162 0.0713170i
\(57\) −5.38529 + 2.94059i −0.713299 + 0.389491i
\(58\) 6.07282 3.31601i 0.797400 0.435413i
\(59\) −3.99100 + 1.82263i −0.519584 + 0.237286i −0.657905 0.753101i \(-0.728557\pi\)
0.138320 + 0.990388i \(0.455830\pi\)
\(60\) 0.320035 + 2.21305i 0.0413163 + 0.285703i
\(61\) 1.16714 + 1.01133i 0.149437 + 0.129488i 0.726371 0.687303i \(-0.241205\pi\)
−0.576934 + 0.816791i \(0.695751\pi\)
\(62\) 1.72283 0.642582i 0.218799 0.0816080i
\(63\) −0.273085 1.25535i −0.0344054 0.158159i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) −9.65197 8.34967i −1.19718 1.03565i
\(66\) −0.00624970 + 0.00541540i −0.000769285 + 0.000666589i
\(67\) 2.37799 4.35496i 0.290518 0.532043i −0.691134 0.722727i \(-0.742889\pi\)
0.981652 + 0.190683i \(0.0610703\pi\)
\(68\) 1.28063 + 1.28063i 0.155299 + 0.155299i
\(69\) −2.01732 + 4.35091i −0.242857 + 0.523788i
\(70\) −1.37468 + 2.52243i −0.164305 + 0.301488i
\(71\) 13.8586 4.06927i 1.64472 0.482933i 0.677214 0.735786i \(-0.263187\pi\)
0.967505 + 0.252853i \(0.0813689\pi\)
\(72\) −0.0713392 + 0.997452i −0.00840740 + 0.117551i
\(73\) −2.82922 + 13.0057i −0.331135 + 1.52220i 0.447245 + 0.894412i \(0.352405\pi\)
−0.778380 + 0.627793i \(0.783958\pi\)
\(74\) −0.356308 2.47817i −0.0414199 0.288082i
\(75\) −3.54131 3.52975i −0.408915 0.407580i
\(76\) 5.58135 + 2.54892i 0.640225 + 0.292381i
\(77\) −0.0105969 0.000757905i −0.00120763 8.63712e-5i
\(78\) −3.42037 4.56909i −0.387281 0.517347i
\(79\) −5.54935 12.1514i −0.624351 1.36714i −0.912312 0.409495i \(-0.865705\pi\)
0.287962 0.957642i \(-0.407022\pi\)
\(80\) 1.57985 1.58243i 0.176632 0.176921i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) −1.56215 + 4.18829i −0.172511 + 0.462519i
\(83\) −2.53753 + 1.89957i −0.278530 + 0.208505i −0.729405 0.684082i \(-0.760203\pi\)
0.450875 + 0.892587i \(0.351112\pi\)
\(84\) −0.841306 + 0.970919i −0.0917940 + 0.105936i
\(85\) −4.00895 0.573056i −0.434832 0.0621566i
\(86\) −3.42182 + 5.32446i −0.368984 + 0.574151i
\(87\) −4.14651 + 5.53909i −0.444552 + 0.593853i
\(88\) 0.00808056 + 0.00175782i 0.000861390 + 0.000187384i
\(89\) −1.24013 1.43119i −0.131454 0.151706i 0.686206 0.727407i \(-0.259275\pi\)
−0.817660 + 0.575701i \(0.804729\pi\)
\(90\) −1.21045 1.88011i −0.127592 0.198181i
\(91\) 7.33247i 0.768652i
\(92\) 4.69202 0.992450i 0.489177 0.103470i
\(93\) −1.30020 + 1.30020i −0.134825 + 0.134825i
\(94\) 0.172500 + 0.587482i 0.0177920 + 0.0605941i
\(95\) −13.4042 + 2.92738i −1.37524 + 0.300343i
\(96\) 0.841254 0.540641i 0.0858601 0.0551789i
\(97\) −4.18289 3.13127i −0.424708 0.317933i 0.365455 0.930829i \(-0.380913\pi\)
−0.790163 + 0.612896i \(0.790004\pi\)
\(98\) 5.22727 1.13712i 0.528034 0.114867i
\(99\) 0.00343529 0.00752224i 0.000345260 0.000756014i
\(100\) −0.703481 + 4.95026i −0.0703481 + 0.495026i
\(101\) −0.383773 + 2.66920i −0.0381869 + 0.265596i −0.999966 0.00823041i \(-0.997380\pi\)
0.961779 + 0.273826i \(0.0882892\pi\)
\(102\) −1.69689 0.632909i −0.168017 0.0626673i
\(103\) 3.48788 + 6.38757i 0.343671 + 0.629386i 0.991158 0.132691i \(-0.0423616\pi\)
−0.647487 + 0.762077i \(0.724180\pi\)
\(104\) −1.60799 + 5.47630i −0.157676 + 0.536996i
\(105\) 0.202593 2.86555i 0.0197711 0.279649i
\(106\) −12.4478 1.78972i −1.20904 0.173833i
\(107\) −0.964952 13.4918i −0.0932854 1.30430i −0.801368 0.598171i \(-0.795894\pi\)
0.708083 0.706129i \(-0.249560\pi\)
\(108\) −0.349464 0.936950i −0.0336272 0.0901580i
\(109\) 14.0939 + 9.05757i 1.34995 + 0.867558i 0.997662 0.0683348i \(-0.0217686\pi\)
0.352284 + 0.935893i \(0.385405\pi\)
\(110\) −0.0168140 + 0.00769529i −0.00160315 + 0.000733717i
\(111\) 1.35358 + 2.10621i 0.128476 + 0.199913i
\(112\) 1.28144 + 0.0916501i 0.121084 + 0.00866012i
\(113\) −12.2649 6.69716i −1.15379 0.630016i −0.215716 0.976456i \(-0.569209\pi\)
−0.938072 + 0.346440i \(0.887390\pi\)
\(114\) −6.13583 −0.574673
\(115\) −7.06251 + 8.06975i −0.658583 + 0.752508i
\(116\) 6.91918 0.642430
\(117\) 5.00935 + 2.73531i 0.463115 + 0.252880i
\(118\) −4.37631 0.313000i −0.402872 0.0288140i
\(119\) −1.25792 1.95736i −0.115313 0.179431i
\(120\) −0.779713 + 2.09572i −0.0711777 + 0.191312i
\(121\) 9.25373 + 5.94701i 0.841248 + 0.540637i
\(122\) 0.539695 + 1.44698i 0.0488617 + 0.131003i
\(123\) −0.318896 4.45875i −0.0287539 0.402032i
\(124\) 1.82005 + 0.261683i 0.163445 + 0.0234998i
\(125\) −5.38222 9.79958i −0.481400 0.876501i
\(126\) 0.361945 1.23267i 0.0322446 0.109815i
\(127\) −2.43067 4.45144i −0.215687 0.395001i 0.747326 0.664458i \(-0.231338\pi\)
−0.963012 + 0.269457i \(0.913156\pi\)
\(128\) −0.936950 0.349464i −0.0828154 0.0308886i
\(129\) 0.900738 6.26477i 0.0793056 0.551582i
\(130\) −4.46976 11.9540i −0.392024 1.04844i
\(131\) −4.78860 + 10.4856i −0.418382 + 0.916129i 0.576689 + 0.816964i \(0.304345\pi\)
−0.995071 + 0.0991653i \(0.968383\pi\)
\(132\) −0.00808056 + 0.00175782i −0.000703322 + 0.000152998i
\(133\) −6.31048 4.72396i −0.547188 0.409620i
\(134\) 4.17422 2.68261i 0.360598 0.231742i
\(135\) 1.88209 + 1.20737i 0.161984 + 0.103914i
\(136\) 0.510241 + 1.73772i 0.0437528 + 0.149008i
\(137\) 10.5041 10.5041i 0.897429 0.897429i −0.0977792 0.995208i \(-0.531174\pi\)
0.995208 + 0.0977792i \(0.0311739\pi\)
\(138\) −3.85573 + 2.85190i −0.328222 + 0.242770i
\(139\) 12.9902i 1.10182i −0.834566 0.550909i \(-0.814281\pi\)
0.834566 0.550909i \(-0.185719\pi\)
\(140\) −2.41540 + 1.55507i −0.204138 + 0.131428i
\(141\) −0.400960 0.462733i −0.0337670 0.0389691i
\(142\) 14.1136 + 3.07023i 1.18439 + 0.257648i
\(143\) 0.0282849 0.0377842i 0.00236530 0.00315968i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) −12.3782 + 9.28200i −1.02795 + 0.770828i
\(146\) −8.71613 + 10.0589i −0.721352 + 0.832485i
\(147\) −4.28251 + 3.20585i −0.353216 + 0.264414i
\(148\) 0.874939 2.34580i 0.0719195 0.192824i
\(149\) 3.10831 + 0.912683i 0.254643 + 0.0747699i 0.406563 0.913623i \(-0.366727\pi\)
−0.151920 + 0.988393i \(0.548545\pi\)
\(150\) −1.41651 4.79516i −0.115657 0.391523i
\(151\) −1.81157 3.96678i −0.147423 0.322812i 0.821486 0.570229i \(-0.193146\pi\)
−0.968909 + 0.247417i \(0.920418\pi\)
\(152\) 3.67707 + 4.91199i 0.298250 + 0.398415i
\(153\) 1.80647 0.129201i 0.146044 0.0104453i
\(154\) −0.00966389 0.00441335i −0.000778739 0.000355638i
\(155\) −3.60705 + 1.97343i −0.289725 + 0.158510i
\(156\) −0.812261 5.64940i −0.0650330 0.452314i
\(157\) −4.62335 + 21.2532i −0.368984 + 1.69619i 0.300843 + 0.953674i \(0.402732\pi\)
−0.669827 + 0.742517i \(0.733632\pi\)
\(158\) 0.952989 13.3245i 0.0758158 1.06004i
\(159\) 12.0664 3.54301i 0.956928 0.280979i
\(160\) 2.14498 0.631727i 0.169575 0.0499424i
\(161\) −6.16115 0.0354462i −0.485567 0.00279356i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) −1.60656 + 2.94220i −0.125836 + 0.230451i −0.933000 0.359876i \(-0.882819\pi\)
0.807165 + 0.590326i \(0.201001\pi\)
\(164\) −3.37830 + 2.92732i −0.263801 + 0.228585i
\(165\) 0.0120978 0.0139847i 0.000941810 0.00108870i
\(166\) −3.13750 + 0.451105i −0.243517 + 0.0350125i
\(167\) 0.575368 + 2.64492i 0.0445233 + 0.204670i 0.994035 0.109061i \(-0.0347845\pi\)
−0.949512 + 0.313731i \(0.898421\pi\)
\(168\) −1.20371 + 0.448960i −0.0928681 + 0.0346380i
\(169\) 14.7942 + 12.8192i 1.13801 + 0.986095i
\(170\) −3.24394 2.42425i −0.248799 0.185931i
\(171\) 5.58135 2.54892i 0.426816 0.194921i
\(172\) −5.55500 + 3.03326i −0.423565 + 0.231284i
\(173\) −12.3561 + 6.74697i −0.939421 + 0.512962i −0.874552 0.484931i \(-0.838845\pi\)
−0.0648683 + 0.997894i \(0.520663\pi\)
\(174\) −6.29391 + 2.87433i −0.477140 + 0.217902i
\(175\) 2.23496 6.02220i 0.168947 0.455236i
\(176\) 0.00624970 + 0.00541540i 0.000471089 + 0.000408201i
\(177\) 4.11086 1.53327i 0.308991 0.115248i
\(178\) −0.402543 1.85046i −0.0301719 0.138698i
\(179\) −25.0923 + 3.60772i −1.87548 + 0.269654i −0.983297 0.182010i \(-0.941740\pi\)
−0.892188 + 0.451664i \(0.850830\pi\)
\(180\) −0.161343 2.23024i −0.0120258 0.166232i
\(181\) 4.62077 4.00392i 0.343459 0.297609i −0.466001 0.884784i \(-0.654306\pi\)
0.809460 + 0.587175i \(0.199760\pi\)
\(182\) 3.51408 6.43556i 0.260481 0.477035i
\(183\) −1.09202 1.09202i −0.0807245 0.0807245i
\(184\) 4.59372 + 1.37759i 0.338653 + 0.101557i
\(185\) 1.58163 + 5.37029i 0.116284 + 0.394831i
\(186\) −1.76428 + 0.518039i −0.129363 + 0.0379845i
\(187\) 0.00106843 0.0149387i 7.81317e−5 0.00109242i
\(188\) −0.130150 + 0.598291i −0.00949218 + 0.0436348i
\(189\) 0.182833 + 1.27163i 0.0132992 + 0.0924977i
\(190\) −13.1675 3.85465i −0.955273 0.279645i
\(191\) 1.87604 + 0.856759i 0.135746 + 0.0619929i 0.482130 0.876100i \(-0.339863\pi\)
−0.346384 + 0.938093i \(0.612591\pi\)
\(192\) 0.997452 0.0713392i 0.0719849 0.00514846i
\(193\) 3.83572 + 5.12392i 0.276101 + 0.368828i 0.917061 0.398746i \(-0.130555\pi\)
−0.640960 + 0.767574i \(0.721464\pi\)
\(194\) −2.17058 4.75290i −0.155838 0.341238i
\(195\) 9.03172 + 9.01696i 0.646775 + 0.645718i
\(196\) 5.13283 + 1.50713i 0.366631 + 0.107652i
\(197\) −5.08046 + 13.6212i −0.361968 + 0.970473i 0.620528 + 0.784185i \(0.286918\pi\)
−0.982495 + 0.186288i \(0.940354\pi\)
\(198\) 0.00662011 0.00495575i 0.000470471 0.000352190i
\(199\) 7.68702 8.87130i 0.544919 0.628870i −0.414773 0.909925i \(-0.636139\pi\)
0.959692 + 0.281055i \(0.0906845\pi\)
\(200\) −2.98984 + 4.00760i −0.211414 + 0.283380i
\(201\) −2.68261 + 4.17422i −0.189217 + 0.294427i
\(202\) −1.61604 + 2.15878i −0.113704 + 0.151891i
\(203\) −8.68599 1.88952i −0.609637 0.132618i
\(204\) −1.18601 1.36872i −0.0830371 0.0958299i
\(205\) 2.11672 9.76883i 0.147838 0.682285i
\(206\) 7.27780i 0.507068i
\(207\) 2.32258 4.19591i 0.161430 0.291636i
\(208\) −4.03581 + 4.03581i −0.279833 + 0.279833i
\(209\) −0.0142953 0.0486852i −0.000988824 0.00336762i
\(210\) 1.55112 2.41794i 0.107038 0.166853i
\(211\) 14.3018 9.19122i 0.984577 0.632749i 0.0538829 0.998547i \(-0.482840\pi\)
0.930694 + 0.365798i \(0.119204\pi\)
\(212\) −10.0675 7.53640i −0.691436 0.517602i
\(213\) −14.1136 + 3.07023i −0.967050 + 0.210369i
\(214\) 5.61901 12.3039i 0.384108 0.841078i
\(215\) 5.86864 12.8784i 0.400238 0.878298i
\(216\) 0.142315 0.989821i 0.00968330 0.0673488i
\(217\) −2.21333 0.825531i −0.150251 0.0560407i
\(218\) 8.02905 + 14.7041i 0.543796 + 0.995888i
\(219\) 3.74983 12.7708i 0.253390 0.862967i
\(220\) −0.0184452 0.00130407i −0.00124358 8.79205e-5i
\(221\) 10.2315 + 1.47107i 0.688247 + 0.0989550i
\(222\) 0.178609 + 2.49728i 0.0119874 + 0.167606i
\(223\) −4.56170 12.2304i −0.305474 0.819008i −0.995460 0.0951847i \(-0.969656\pi\)
0.689985 0.723823i \(-0.257617\pi\)
\(224\) 1.08077 + 0.694566i 0.0722117 + 0.0464077i
\(225\) 3.28048 + 3.77339i 0.218699 + 0.251559i
\(226\) −7.55507 11.7559i −0.502556 0.781992i
\(227\) −20.7884 1.48682i −1.37978 0.0986836i −0.638365 0.769734i \(-0.720389\pi\)
−0.741412 + 0.671050i \(0.765843\pi\)
\(228\) −5.38529 2.94059i −0.356650 0.194745i
\(229\) 1.01627 0.0671572 0.0335786 0.999436i \(-0.489310\pi\)
0.0335786 + 0.999436i \(0.489310\pi\)
\(230\) −10.0660 + 3.69795i −0.663735 + 0.243836i
\(231\) 0.0106240 0.000699005
\(232\) 6.07282 + 3.31601i 0.398700 + 0.217707i
\(233\) 12.2432 + 0.875649i 0.802077 + 0.0573657i 0.466358 0.884596i \(-0.345566\pi\)
0.335720 + 0.941962i \(0.391021\pi\)
\(234\) 3.08571 + 4.80145i 0.201719 + 0.313881i
\(235\) −0.569766 1.24492i −0.0371674 0.0812095i
\(236\) −3.69099 2.37206i −0.240263 0.154408i
\(237\) 4.66834 + 12.5163i 0.303241 + 0.813021i
\(238\) −0.165986 2.32079i −0.0107593 0.150434i
\(239\) −4.73601 0.680936i −0.306347 0.0440461i −0.0125730 0.999921i \(-0.504002\pi\)
−0.293774 + 0.955875i \(0.594911\pi\)
\(240\) −1.68871 + 1.46569i −0.109006 + 0.0946102i
\(241\) −1.68769 + 5.74774i −0.108714 + 0.370245i −0.995822 0.0913167i \(-0.970892\pi\)
0.887108 + 0.461561i \(0.152711\pi\)
\(242\) 5.27171 + 9.65441i 0.338878 + 0.620609i
\(243\) −0.936950 0.349464i −0.0601054 0.0224181i
\(244\) −0.219784 + 1.52863i −0.0140702 + 0.0978606i
\(245\) −11.2043 + 4.18941i −0.715815 + 0.267652i
\(246\) 1.85696 4.06618i 0.118396 0.259250i
\(247\) 34.2199 7.44409i 2.17736 0.473656i
\(248\) 1.47201 + 1.10193i 0.0934724 + 0.0699726i
\(249\) 2.66658 1.71370i 0.168987 0.108602i
\(250\) −0.0274207 11.1803i −0.00173424 0.707105i
\(251\) 7.41141 + 25.2409i 0.467804 + 1.59319i 0.768748 + 0.639552i \(0.220880\pi\)
−0.300944 + 0.953642i \(0.597302\pi\)
\(252\) 0.908427 0.908427i 0.0572255 0.0572255i
\(253\) −0.0316117 0.0239492i −0.00198741 0.00150567i
\(254\) 5.07183i 0.318235i
\(255\) 3.95786 + 0.857591i 0.247851 + 0.0537044i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 27.7447 + 6.03549i 1.73067 + 0.376483i 0.964070 0.265647i \(-0.0855854\pi\)
0.766596 + 0.642130i \(0.221949\pi\)
\(258\) 3.79294 5.06678i 0.236138 0.315444i
\(259\) −1.73896 + 2.70587i −0.108054 + 0.168135i
\(260\) 1.80594 12.6339i 0.112000 0.783523i
\(261\) 4.53110 5.22917i 0.280468 0.323677i
\(262\) −9.22806 + 6.90804i −0.570111 + 0.426780i
\(263\) 6.02473 16.1529i 0.371501 0.996032i −0.607884 0.794026i \(-0.707981\pi\)
0.979384 0.202006i \(-0.0647460\pi\)
\(264\) −0.00793457 0.00232980i −0.000488339 0.000143389i
\(265\) 28.1204 0.0229892i 1.72742 0.00141221i
\(266\) −3.27462 7.17041i −0.200780 0.439646i
\(267\) 1.13487 + 1.51601i 0.0694532 + 0.0927786i
\(268\) 4.94927 0.353979i 0.302325 0.0216227i
\(269\) 0.719166 + 0.328432i 0.0438483 + 0.0200248i 0.437218 0.899355i \(-0.355964\pi\)
−0.393370 + 0.919380i \(0.628691\pi\)
\(270\) 1.07324 + 1.96167i 0.0653151 + 0.119384i
\(271\) −2.35649 16.3898i −0.143147 0.995608i −0.927107 0.374797i \(-0.877713\pi\)
0.783960 0.620811i \(-0.213197\pi\)
\(272\) −0.384973 + 1.76969i −0.0233424 + 0.107303i
\(273\) −0.523093 + 7.31379i −0.0316590 + 0.442651i
\(274\) 14.2534 4.18516i 0.861077 0.252835i
\(275\) 0.0347473 0.0224111i 0.00209534 0.00135144i
\(276\) −4.75086 + 0.655197i −0.285968 + 0.0394382i
\(277\) −8.04938 8.04938i −0.483641 0.483641i 0.422652 0.906292i \(-0.361099\pi\)
−0.906292 + 0.422652i \(0.861099\pi\)
\(278\) 6.22556 11.4013i 0.373384 0.683802i
\(279\) 1.38964 1.20413i 0.0831958 0.0720896i
\(280\) −2.86521 + 0.207278i −0.171229 + 0.0123873i
\(281\) −25.4979 + 3.66604i −1.52108 + 0.218698i −0.851622 0.524156i \(-0.824381\pi\)
−0.669454 + 0.742854i \(0.733472\pi\)
\(282\) −0.130150 0.598291i −0.00775033 0.0356277i
\(283\) −4.67868 + 1.74506i −0.278119 + 0.103733i −0.484653 0.874706i \(-0.661054\pi\)
0.206534 + 0.978439i \(0.433781\pi\)
\(284\) 10.9158 + 9.45863i 0.647736 + 0.561266i
\(285\) 13.5789 1.96368i 0.804344 0.116318i
\(286\) 0.0429332 0.0196069i 0.00253869 0.00115938i
\(287\) 5.04036 2.75224i 0.297523 0.162460i
\(288\) −0.877679 + 0.479249i −0.0517177 + 0.0282400i
\(289\) −12.4801 + 5.69949i −0.734125 + 0.335264i
\(290\) −15.3125 + 2.21438i −0.899179 + 0.130033i
\(291\) 3.94885 + 3.42170i 0.231486 + 0.200584i
\(292\) −12.4707 + 4.65133i −0.729793 + 0.272199i
\(293\) 3.58820 + 16.4947i 0.209625 + 0.963631i 0.954912 + 0.296887i \(0.0959486\pi\)
−0.745287 + 0.666743i \(0.767688\pi\)
\(294\) −5.29507 + 0.761316i −0.308815 + 0.0444009i
\(295\) 9.78516 0.707889i 0.569714 0.0412149i
\(296\) 1.89214 1.63955i 0.109978 0.0952967i
\(297\) −0.00396317 + 0.00725800i −0.000229966 + 0.000421152i
\(298\) 2.29070 + 2.29070i 0.132697 + 0.132697i
\(299\) 18.0437 20.5831i 1.04349 1.19035i
\(300\) 1.05484 4.88747i 0.0609010 0.282178i
\(301\) 7.80180 2.29082i 0.449689 0.132040i
\(302\) 0.311101 4.34976i 0.0179018 0.250300i
\(303\) 0.573214 2.63502i 0.0329303 0.151378i
\(304\) 0.873220 + 6.07338i 0.0500826 + 0.348332i
\(305\) −1.65745 3.02951i −0.0949056 0.173469i
\(306\) 1.64742 + 0.752351i 0.0941767 + 0.0430090i
\(307\) −27.8580 + 1.99244i −1.58994 + 0.113715i −0.838056 0.545584i \(-0.816308\pi\)
−0.751881 + 0.659299i \(0.770853\pi\)
\(308\) −0.00636670 0.00850492i −0.000362776 0.000484613i
\(309\) −3.02331 6.62012i −0.171990 0.376606i
\(310\) −4.11160 + 0.00336135i −0.233523 + 0.000190912i
\(311\) 8.74213 + 2.56692i 0.495721 + 0.145557i 0.520030 0.854148i \(-0.325921\pi\)
−0.0243096 + 0.999704i \(0.507739\pi\)
\(312\) 1.99457 5.34764i 0.112920 0.302750i
\(313\) −8.58334 + 6.42540i −0.485159 + 0.363185i −0.813682 0.581311i \(-0.802540\pi\)
0.328523 + 0.944496i \(0.393449\pi\)
\(314\) −14.2434 + 16.4378i −0.803801 + 0.927636i
\(315\) −0.406503 + 2.84379i −0.0229038 + 0.160229i
\(316\) 7.22219 11.2379i 0.406280 0.632184i
\(317\) −7.89057 + 10.5406i −0.443179 + 0.592017i −0.965394 0.260796i \(-0.916015\pi\)
0.522215 + 0.852814i \(0.325106\pi\)
\(318\) 12.2884 + 2.67318i 0.689100 + 0.149905i
\(319\) −0.0374701 0.0432428i −0.00209792 0.00242113i
\(320\) 2.18535 + 0.473524i 0.122165 + 0.0264708i
\(321\) 13.5263i 0.754962i
\(322\) −5.39052 2.98383i −0.300402 0.166283i
\(323\) 7.85772 7.85772i 0.437215 0.437215i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) 13.7175 + 25.0244i 0.760910 + 1.38810i
\(326\) −2.82009 + 1.81236i −0.156190 + 0.100377i
\(327\) −13.4118 10.0399i −0.741674 0.555210i
\(328\) −4.36798 + 0.950196i −0.241181 + 0.0524658i
\(329\) 0.326768 0.715522i 0.0180153 0.0394480i
\(330\) 0.0173201 0.00647619i 0.000953440 0.000356503i
\(331\) −4.89025 + 34.0124i −0.268792 + 1.86949i 0.191175 + 0.981556i \(0.438770\pi\)
−0.459968 + 0.887936i \(0.652139\pi\)
\(332\) −2.96991 1.10772i −0.162995 0.0607940i
\(333\) −1.19988 2.19741i −0.0657528 0.120417i
\(334\) −0.762588 + 2.59714i −0.0417270 + 0.142109i
\(335\) −8.37922 + 7.27264i −0.457806 + 0.397347i
\(336\) −1.27163 0.182833i −0.0693733 0.00997437i
\(337\) 1.73694 + 24.2856i 0.0946172 + 1.32292i 0.793888 + 0.608064i \(0.208054\pi\)
−0.699271 + 0.714857i \(0.746492\pi\)
\(338\) 6.84094 + 18.3413i 0.372098 + 0.997634i
\(339\) 11.7559 + 7.55507i 0.638494 + 0.410335i
\(340\) −1.68532 3.68236i −0.0913992 0.199704i
\(341\) −0.00822084 0.0127919i −0.000445183 0.000692719i
\(342\) 6.12020 + 0.437725i 0.330942 + 0.0236695i
\(343\) −13.9249 7.60355i −0.751872 0.410553i
\(344\) −6.32919 −0.341247
\(345\) 7.62021 7.54536i 0.410258 0.406228i
\(346\) −14.0782 −0.756849
\(347\) 10.1267 + 5.52961i 0.543631 + 0.296845i 0.727502 0.686106i \(-0.240681\pi\)
−0.183871 + 0.982950i \(0.558863\pi\)
\(348\) −6.90155 0.493609i −0.369962 0.0264602i
\(349\) −0.331551 0.515903i −0.0177475 0.0276157i 0.832266 0.554376i \(-0.187043\pi\)
−0.850014 + 0.526760i \(0.823407\pi\)
\(350\) 4.84771 4.21446i 0.259121 0.225272i
\(351\) −4.80145 3.08571i −0.256283 0.164703i
\(352\) 0.00288991 + 0.00774814i 0.000154033 + 0.000412977i
\(353\) 0.515124 + 7.20238i 0.0274173 + 0.383344i 0.992572 + 0.121662i \(0.0388225\pi\)
−0.965154 + 0.261682i \(0.915723\pi\)
\(354\) 4.34283 + 0.624405i 0.230819 + 0.0331868i
\(355\) −32.2167 2.27771i −1.70989 0.120889i
\(356\) 0.533527 1.81703i 0.0282769 0.0963023i
\(357\) 1.11508 + 2.04211i 0.0590161 + 0.108080i
\(358\) −23.7520 8.85902i −1.25533 0.468214i
\(359\) 4.25547 29.5974i 0.224595 1.56209i −0.495744 0.868469i \(-0.665104\pi\)
0.720338 0.693623i \(-0.243987\pi\)
\(360\) 0.927233 2.03476i 0.0488695 0.107241i
\(361\) 7.74684 16.9632i 0.407729 0.892801i
\(362\) 5.97442 1.29966i 0.314009 0.0683084i
\(363\) −8.80590 6.59201i −0.462190 0.345991i
\(364\) 6.16847 3.96424i 0.323316 0.207782i
\(365\) 16.0700 25.0504i 0.841142 1.31120i
\(366\) −0.435094 1.48179i −0.0227427 0.0774546i
\(367\) −17.5440 + 17.5440i −0.915792 + 0.915792i −0.996720 0.0809284i \(-0.974211\pi\)
0.0809284 + 0.996720i \(0.474211\pi\)
\(368\) 3.37160 + 3.41062i 0.175757 + 0.177791i
\(369\) 4.47013i 0.232706i
\(370\) −1.18554 + 5.47138i −0.0616334 + 0.284444i
\(371\) 10.5801 + 12.2101i 0.549291 + 0.633916i
\(372\) −1.79674 0.390857i −0.0931567 0.0202650i
\(373\) 12.6934 16.9564i 0.657239 0.877969i −0.340827 0.940126i \(-0.610707\pi\)
0.998066 + 0.0621569i \(0.0197979\pi\)
\(374\) 0.00809708 0.0125993i 0.000418690 0.000651495i
\(375\) 4.66941 + 10.1586i 0.241127 + 0.524586i
\(376\) −0.400960 + 0.462733i −0.0206780 + 0.0238636i
\(377\) 31.6143 23.6662i 1.62822 1.21887i
\(378\) −0.448960 + 1.20371i −0.0230920 + 0.0619121i
\(379\) 11.4920 + 3.37437i 0.590307 + 0.173330i 0.563225 0.826304i \(-0.309560\pi\)
0.0270816 + 0.999633i \(0.491379\pi\)
\(380\) −9.70953 9.69367i −0.498088 0.497275i
\(381\) 2.10691 + 4.61350i 0.107940 + 0.236357i
\(382\) 1.23596 + 1.65105i 0.0632373 + 0.0844751i
\(383\) 24.2304 1.73300i 1.23812 0.0885520i 0.563122 0.826374i \(-0.309600\pi\)
0.674996 + 0.737822i \(0.264145\pi\)
\(384\) 0.909632 + 0.415415i 0.0464195 + 0.0211991i
\(385\) 0.0227991 + 0.00667417i 0.00116195 + 0.000340147i
\(386\) 0.910897 + 6.33542i 0.0463634 + 0.322465i
\(387\) −1.34537 + 6.18455i −0.0683888 + 0.314378i
\(388\) 0.372753 5.21177i 0.0189237 0.264587i
\(389\) −1.54275 + 0.452993i −0.0782206 + 0.0229676i −0.320609 0.947212i \(-0.603887\pi\)
0.242388 + 0.970179i \(0.422069\pi\)
\(390\) 3.60558 + 12.2424i 0.182576 + 0.619920i
\(391\) 1.28554 8.58999i 0.0650124 0.434414i
\(392\) 3.78268 + 3.78268i 0.191054 + 0.191054i
\(393\) 5.52444 10.1172i 0.278671 0.510348i
\(394\) −10.9870 + 9.52027i −0.553516 + 0.479624i
\(395\) 2.15531 + 29.7928i 0.108445 + 1.49904i
\(396\) 0.00818537 0.00117688i 0.000411330 5.91404e-5i
\(397\) 5.84838 + 26.8846i 0.293522 + 1.34930i 0.853631 + 0.520879i \(0.174396\pi\)
−0.560109 + 0.828419i \(0.689241\pi\)
\(398\) 10.9983 4.10215i 0.551295 0.205622i
\(399\) 5.95739 + 5.16211i 0.298243 + 0.258429i
\(400\) −4.54476 + 2.08451i −0.227238 + 0.104225i
\(401\) 12.8502 5.86850i 0.641709 0.293059i −0.0678596 0.997695i \(-0.521617\pi\)
0.709569 + 0.704636i \(0.248890\pi\)
\(402\) −4.35496 + 2.37799i −0.217206 + 0.118603i
\(403\) 9.21100 5.02959i 0.458833 0.250542i
\(404\) −2.45296 + 1.12023i −0.122039 + 0.0557335i
\(405\) −1.79116 1.33856i −0.0890034 0.0665137i
\(406\) −6.71796 5.82115i −0.333407 0.288899i
\(407\) −0.0193987 + 0.00723534i −0.000961558 + 0.000358643i
\(408\) −0.384973 1.76969i −0.0190590 0.0876129i
\(409\) −19.6906 + 2.83108i −0.973636 + 0.139988i −0.610731 0.791838i \(-0.709124\pi\)
−0.362905 + 0.931826i \(0.618215\pi\)
\(410\) 6.53950 7.55946i 0.322963 0.373335i
\(411\) −11.2267 + 9.72802i −0.553774 + 0.479848i
\(412\) −3.48788 + 6.38757i −0.171835 + 0.314693i
\(413\) 3.98572 + 3.98572i 0.196124 + 0.196124i
\(414\) 4.04936 2.56957i 0.199015 0.126287i
\(415\) 6.79907 2.00243i 0.333753 0.0982952i
\(416\) −5.47630 + 1.60799i −0.268498 + 0.0788381i
\(417\) −0.926713 + 12.9571i −0.0453813 + 0.634514i
\(418\) 0.0107857 0.0495809i 0.000527545 0.00242508i
\(419\) 2.00492 + 13.9445i 0.0979466 + 0.681234i 0.978342 + 0.206994i \(0.0663680\pi\)
−0.880396 + 0.474240i \(0.842723\pi\)
\(420\) 2.52018 1.37880i 0.122972 0.0672785i
\(421\) −32.3308 14.7650i −1.57571 0.719600i −0.580215 0.814464i \(-0.697031\pi\)
−0.995490 + 0.0948631i \(0.969759\pi\)
\(422\) 16.9573 1.21281i 0.825467 0.0590386i
\(423\) 0.366928 + 0.490158i 0.0178406 + 0.0238323i
\(424\) −5.22418 11.4394i −0.253709 0.555544i
\(425\) 7.95483 + 4.32680i 0.385866 + 0.209880i
\(426\) −13.8586 4.06927i −0.671454 0.197157i
\(427\) 0.693351 1.85895i 0.0335536 0.0899608i
\(428\) 10.8283 8.10598i 0.523407 0.391817i
\(429\) −0.0309084 + 0.0356702i −0.00149227 + 0.00172217i
\(430\) 11.3227 8.49054i 0.546030 0.409450i
\(431\) 5.17177 8.04744i 0.249116 0.387631i −0.694065 0.719913i \(-0.744182\pi\)
0.943180 + 0.332281i \(0.107818\pi\)
\(432\) 0.599278 0.800541i 0.0288328 0.0385161i
\(433\) −3.31868 0.721934i −0.159485 0.0346939i 0.132114 0.991235i \(-0.457824\pi\)
−0.291599 + 0.956541i \(0.594187\pi\)
\(434\) −1.54696 1.78529i −0.0742565 0.0856966i
\(435\) 13.0088 8.37530i 0.623725 0.401565i
\(436\) 16.7534i 0.802342i
\(437\) −6.08951 28.7894i −0.291301 1.37719i
\(438\) 9.41152 9.41152i 0.449700 0.449700i
\(439\) −3.30043 11.2402i −0.157521 0.536466i 0.842477 0.538733i \(-0.181097\pi\)
−0.999997 + 0.00226649i \(0.999279\pi\)
\(440\) −0.0155640 0.00998441i −0.000741985 0.000475988i
\(441\) 4.50030 2.89217i 0.214300 0.137722i
\(442\) 8.27499 + 6.19458i 0.393601 + 0.294646i
\(443\) −29.2673 + 6.36671i −1.39053 + 0.302492i −0.844627 0.535356i \(-0.820178\pi\)
−0.545905 + 0.837847i \(0.683814\pi\)
\(444\) −1.04006 + 2.27741i −0.0493589 + 0.108081i
\(445\) 1.48306 + 3.96633i 0.0703037 + 0.188022i
\(446\) 1.85770 12.9206i 0.0879644 0.611806i
\(447\) −3.03528 1.13210i −0.143564 0.0535466i
\(448\) 0.615696 + 1.12756i 0.0290889 + 0.0532723i
\(449\) 5.73362 19.5269i 0.270586 0.921532i −0.706325 0.707888i \(-0.749648\pi\)
0.976911 0.213645i \(-0.0685335\pi\)
\(450\) 1.07081 + 4.88399i 0.0504786 + 0.230233i
\(451\) 0.0365897 + 0.00526081i 0.00172294 + 0.000247722i
\(452\) −0.996914 13.9387i −0.0468909 0.655621i
\(453\) 1.52397 + 4.08591i 0.0716022 + 0.191973i
\(454\) −17.5330 11.2678i −0.822865 0.528823i
\(455\) −5.71722 + 15.3668i −0.268028 + 0.720408i
\(456\) −3.31728 5.16179i −0.155346 0.241723i
\(457\) −2.46422 0.176244i −0.115271 0.00824436i 0.0135844 0.999908i \(-0.495676\pi\)
−0.128856 + 0.991663i \(0.541130\pi\)
\(458\) 0.891962 + 0.487048i 0.0416786 + 0.0227583i
\(459\) −1.81108 −0.0845341
\(460\) −10.6070 1.57853i −0.494553 0.0735992i
\(461\) −7.14319 −0.332692 −0.166346 0.986067i \(-0.553197\pi\)
−0.166346 + 0.986067i \(0.553197\pi\)
\(462\) 0.00932443 + 0.00509152i 0.000433812 + 0.000236879i
\(463\) 31.4308 + 2.24797i 1.46071 + 0.104472i 0.778943 0.627095i \(-0.215756\pi\)
0.681770 + 0.731567i \(0.261211\pi\)
\(464\) 3.74079 + 5.82078i 0.173662 + 0.270223i
\(465\) 3.73864 1.71108i 0.173375 0.0793493i
\(466\) 10.3259 + 6.63607i 0.478339 + 0.307410i
\(467\) 6.37265 + 17.0857i 0.294891 + 0.790634i 0.996916 + 0.0784810i \(0.0250070\pi\)
−0.702024 + 0.712153i \(0.747720\pi\)
\(468\) 0.407168 + 5.69295i 0.0188214 + 0.263157i
\(469\) −6.30973 0.907202i −0.291356 0.0418907i
\(470\) 0.0965545 1.36570i 0.00445373 0.0629950i
\(471\) 6.12776 20.8692i 0.282352 0.961603i
\(472\) −2.10270 3.85081i −0.0967847 0.177248i
\(473\) 0.0490395 + 0.0182908i 0.00225484 + 0.000841011i
\(474\) −1.90112 + 13.2226i −0.0873214 + 0.607334i
\(475\) 30.3740 + 4.31644i 1.39365 + 0.198052i
\(476\) 0.966552 2.11645i 0.0443019 0.0970075i
\(477\) −12.2884 + 2.67318i −0.562648 + 0.122397i
\(478\) −3.83036 2.86737i −0.175197 0.131151i
\(479\) 6.05871 3.89370i 0.276830 0.177908i −0.394858 0.918742i \(-0.629206\pi\)
0.671687 + 0.740835i \(0.265570\pi\)
\(480\) −2.18458 + 0.477097i −0.0997119 + 0.0217764i
\(481\) −4.02585 13.7108i −0.183563 0.625158i
\(482\) −4.23585 + 4.23585i −0.192938 + 0.192938i
\(483\) 6.14292 + 0.474887i 0.279513 + 0.0216081i
\(484\) 10.9999i 0.499997i
\(485\) 6.32468 + 9.82373i 0.287189 + 0.446073i
\(486\) −0.654861 0.755750i −0.0297051 0.0342815i
\(487\) −19.1047 4.15597i −0.865717 0.188325i −0.242287 0.970205i \(-0.577898\pi\)
−0.623430 + 0.781879i \(0.714261\pi\)
\(488\) −0.925495 + 1.23632i −0.0418952 + 0.0559654i
\(489\) 1.81236 2.82009i 0.0819578 0.127529i
\(490\) −11.8415 1.69267i −0.534946 0.0764672i
\(491\) −6.12896 + 7.07320i −0.276596 + 0.319209i −0.877002 0.480486i \(-0.840460\pi\)
0.600406 + 0.799695i \(0.295006\pi\)
\(492\) 3.57853 2.67885i 0.161332 0.120772i
\(493\) 4.37921 11.7411i 0.197230 0.528793i
\(494\) 33.6017 + 9.86634i 1.51181 + 0.443908i
\(495\) −0.0130646 + 0.0130860i −0.000587210 + 0.000588171i
\(496\) 0.763850 + 1.67260i 0.0342979 + 0.0751018i
\(497\) −11.1202 14.8548i −0.498809 0.666330i
\(498\) 3.16169 0.226128i 0.141679 0.0101331i
\(499\) −2.42276 1.10644i −0.108457 0.0495309i 0.360447 0.932780i \(-0.382624\pi\)
−0.468905 + 0.883249i \(0.655351\pi\)
\(500\) 5.33408 9.82586i 0.238547 0.439426i
\(501\) −0.385215 2.67923i −0.0172101 0.119699i
\(502\) −5.59186 + 25.7054i −0.249577 + 1.14729i
\(503\) −1.79423 + 25.0866i −0.0800006 + 1.11855i 0.785905 + 0.618347i \(0.212197\pi\)
−0.865906 + 0.500207i \(0.833257\pi\)
\(504\) 1.23267 0.361945i 0.0549075 0.0161223i
\(505\) 2.88549 5.29467i 0.128403 0.235610i
\(506\) −0.0162673 0.0361696i −0.000723168 0.00160793i
\(507\) −13.8420 13.8420i −0.614744 0.614744i
\(508\) 2.43067 4.45144i 0.107843 0.197501i
\(509\) 17.2204 14.9215i 0.763280 0.661386i −0.183590 0.983003i \(-0.558772\pi\)
0.946870 + 0.321617i \(0.104226\pi\)
\(510\) 3.06273 + 2.64949i 0.135620 + 0.117321i
\(511\) 16.9253 2.43349i 0.748731 0.107651i
\(512\) −0.212565 0.977147i −0.00939415 0.0431842i
\(513\) −5.74897 + 2.14425i −0.253823 + 0.0946711i
\(514\) 21.4584 + 18.5938i 0.946491 + 0.820139i
\(515\) −2.32915 16.1061i −0.102635 0.709720i
\(516\) 5.75724 2.62924i 0.253448 0.115746i
\(517\) 0.00444396 0.00242658i 0.000195445 0.000106721i
\(518\) −2.82303 + 1.54149i −0.124037 + 0.0677293i
\(519\) 12.8060 5.84830i 0.562121 0.256712i
\(520\) 7.63984 10.2230i 0.335029 0.448310i
\(521\) 23.9723 + 20.7721i 1.05025 + 0.910043i 0.996077 0.0884888i \(-0.0282037\pi\)
0.0541685 + 0.998532i \(0.482749\pi\)
\(522\) 6.48292 2.41801i 0.283750 0.105833i
\(523\) 2.51334 + 11.5536i 0.109900 + 0.505204i 0.998883 + 0.0472622i \(0.0150496\pi\)
−0.888982 + 0.457942i \(0.848587\pi\)
\(524\) −11.4099 + 1.64050i −0.498446 + 0.0716657i
\(525\) −2.65888 + 5.84742i −0.116043 + 0.255202i
\(526\) 13.0291 11.2897i 0.568094 0.492256i
\(527\) 1.59597 2.92280i 0.0695216 0.127319i
\(528\) −0.00584745 0.00584745i −0.000254478 0.000254478i
\(529\) −17.2078 15.2608i −0.748165 0.663513i
\(530\) 24.6917 + 13.4565i 1.07254 + 0.584512i
\(531\) −4.20977 + 1.23610i −0.182688 + 0.0536421i
\(532\) 0.562350 7.86268i 0.0243810 0.340890i
\(533\) −5.42324 + 24.9302i −0.234906 + 1.07985i
\(534\) 0.269507 + 1.87446i 0.0116627 + 0.0811159i
\(535\) −8.49745 + 29.0274i −0.367377 + 1.25496i
\(536\) 4.51351 + 2.06125i 0.194954 + 0.0890325i
\(537\) 25.2857 1.80847i 1.09116 0.0780412i
\(538\) 0.473796 + 0.632917i 0.0204268 + 0.0272870i
\(539\) −0.0183772 0.0402404i −0.000791561 0.00173328i
\(540\) 0.00182805 + 2.23607i 7.86667e−5 + 0.0962250i
\(541\) −16.6280 4.88243i −0.714894 0.209912i −0.0959945 0.995382i \(-0.530603\pi\)
−0.618900 + 0.785470i \(0.712421\pi\)
\(542\) 5.78654 15.5143i 0.248553 0.666396i
\(543\) −4.89463 + 3.66407i −0.210049 + 0.157241i
\(544\) −1.18601 + 1.36872i −0.0508496 + 0.0586836i
\(545\) −22.4745 29.9713i −0.962702 1.28383i
\(546\) −3.96424 + 6.16847i −0.169654 + 0.263986i
\(547\) 10.3626 13.8429i 0.443074 0.591878i −0.522295 0.852765i \(-0.674924\pi\)
0.965369 + 0.260887i \(0.0840149\pi\)
\(548\) 14.5156 + 3.15768i 0.620076 + 0.134889i
\(549\) 1.01133 + 1.16714i 0.0431627 + 0.0498124i
\(550\) 0.0412375 0.00301714i 0.00175837 0.000128651i
\(551\) 42.4549i 1.80864i
\(552\) −4.48374 1.70179i −0.190841 0.0724332i
\(553\) −12.1353 + 12.1353i −0.516045 + 0.516045i
\(554\) −3.20712 10.9224i −0.136257 0.464050i
\(555\) −1.19449 5.46943i −0.0507031 0.232165i
\(556\) 10.9281 7.02305i 0.463454 0.297844i
\(557\) −6.07087 4.54459i −0.257231 0.192561i 0.462877 0.886422i \(-0.346817\pi\)
−0.720108 + 0.693862i \(0.755908\pi\)
\(558\) 1.79674 0.390857i 0.0760621 0.0165463i
\(559\) −15.0064 + 32.8594i −0.634702 + 1.38980i
\(560\) −2.61407 1.19123i −0.110465 0.0503385i
\(561\) −0.00213142 + 0.0148244i −8.99888e−5 + 0.000625886i
\(562\) −24.1359 9.00222i −1.01811 0.379736i
\(563\) 7.48755 + 13.7124i 0.315563 + 0.577910i 0.986531 0.163576i \(-0.0523030\pi\)
−0.670968 + 0.741486i \(0.734121\pi\)
\(564\) 0.172500 0.587482i 0.00726357 0.0247374i
\(565\) 20.4820 + 23.5985i 0.861686 + 0.992797i
\(566\) −4.94270 0.710653i −0.207757 0.0298710i
\(567\) −0.0916501 1.28144i −0.00384894 0.0538153i
\(568\) 5.04756 + 13.5330i 0.211791 + 0.567834i
\(569\) 15.8222 + 10.1683i 0.663303 + 0.426279i 0.828506 0.559981i \(-0.189191\pi\)
−0.165203 + 0.986260i \(0.552828\pi\)
\(570\) 12.8590 + 4.78419i 0.538604 + 0.200388i
\(571\) −11.4768 17.8583i −0.480290 0.747346i 0.513563 0.858052i \(-0.328325\pi\)
−0.993853 + 0.110706i \(0.964689\pi\)
\(572\) 0.0470781 + 0.00336709i 0.00196843 + 0.000140785i
\(573\) −1.81014 0.988412i −0.0756197 0.0412915i
\(574\) 5.74283 0.239701
\(575\) 21.0931 11.4052i 0.879645 0.475631i
\(576\) −1.00000 −0.0416667
\(577\) −33.3676 18.2201i −1.38911 0.758512i −0.401564 0.915831i \(-0.631533\pi\)
−0.987548 + 0.157319i \(0.949715\pi\)
\(578\) −13.6850 0.978772i −0.569222 0.0407116i
\(579\) −3.46041 5.38450i −0.143810 0.223772i
\(580\) −14.5007 5.39497i −0.602108 0.224014i
\(581\) 3.42578 + 2.20161i 0.142125 + 0.0913383i
\(582\) 1.82598 + 4.89564i 0.0756892 + 0.202931i
\(583\) 0.00741900 + 0.103731i 0.000307264 + 0.00429611i
\(584\) −13.1744 1.89420i −0.545161 0.0783824i
\(585\) −8.36544 9.63830i −0.345869 0.398495i
\(586\) −4.75578 + 16.1967i −0.196459 + 0.669079i
\(587\) −13.3592 24.4655i −0.551392 1.00980i −0.993608 0.112890i \(-0.963989\pi\)
0.442216 0.896909i \(-0.354193\pi\)
\(588\) −5.01223 1.86947i −0.206701 0.0770955i
\(589\) 1.60564 11.1675i 0.0661594 0.460149i
\(590\) 8.92748 + 4.06823i 0.367539 + 0.167486i
\(591\) 6.03924 13.2241i 0.248421 0.543966i
\(592\) 2.44644 0.532191i 0.100548 0.0218729i
\(593\) −7.55903 5.65862i −0.310412 0.232372i 0.432701 0.901538i \(-0.357561\pi\)
−0.743113 + 0.669166i \(0.766652\pi\)
\(594\) −0.00695678 + 0.00447085i −0.000285440 + 0.000183441i
\(595\) 1.11007 + 5.08289i 0.0455083 + 0.208378i
\(596\) 0.912683 + 3.10831i 0.0373850 + 0.127321i
\(597\) −8.30031 + 8.30031i −0.339709 + 0.339709i
\(598\) 25.7010 9.41790i 1.05099 0.385126i
\(599\) 24.5789i 1.00427i 0.864790 + 0.502134i \(0.167452\pi\)
−0.864790 + 0.502134i \(0.832548\pi\)
\(600\) 3.26812 3.78410i 0.133420 0.154485i
\(601\) −22.7364 26.2392i −0.927437 1.07032i −0.997349 0.0727664i \(-0.976817\pi\)
0.0699119 0.997553i \(-0.477728\pi\)
\(602\) 7.94535 + 1.72841i 0.323828 + 0.0704445i
\(603\) 2.97356 3.97221i 0.121093 0.161761i
\(604\) 2.35766 3.66859i 0.0959319 0.149273i
\(605\) −14.7563 19.6785i −0.599928 0.800046i
\(606\) 1.76593 2.03799i 0.0717360 0.0827878i
\(607\) 6.48163 4.85209i 0.263081 0.196940i −0.459592 0.888130i \(-0.652004\pi\)
0.722673 + 0.691190i \(0.242913\pi\)
\(608\) −2.14425 + 5.74897i −0.0869610 + 0.233151i
\(609\) 8.52906 + 2.50436i 0.345615 + 0.101482i
\(610\) −0.00282315 3.45327i −0.000114306 0.139819i
\(611\) 1.45171 + 3.17881i 0.0587300 + 0.128601i
\(612\) 1.08534 + 1.44985i 0.0438723 + 0.0586066i
\(613\) −44.3781 + 3.17399i −1.79242 + 0.128196i −0.927524 0.373763i \(-0.878067\pi\)
−0.864891 + 0.501959i \(0.832613\pi\)
\(614\) −25.4052 11.6022i −1.02527 0.468226i
\(615\) −2.80822 + 9.59294i −0.113238 + 0.386825i
\(616\) −0.00151195 0.0105158i −6.09181e−5 0.000423695i
\(617\) 7.42937 34.1523i 0.299095 1.37492i −0.544870 0.838521i \(-0.683421\pi\)
0.843965 0.536398i \(-0.180215\pi\)
\(618\) 0.519192 7.25926i 0.0208850 0.292010i
\(619\) −43.4470 + 12.7572i −1.74628 + 0.512755i −0.989948 0.141429i \(-0.954830\pi\)
−0.756336 + 0.654184i \(0.773012\pi\)
\(620\) −3.61027 1.96753i −0.144992 0.0790178i
\(621\) −2.61599 + 4.01953i −0.104976 + 0.161298i
\(622\) 6.44259 + 6.44259i 0.258324 + 0.258324i
\(623\) −1.16597 + 2.13531i −0.0467134 + 0.0855493i
\(624\) 4.31344 3.73761i 0.172676 0.149624i
\(625\) 3.63877 + 24.7338i 0.145551 + 0.989351i
\(626\) −10.6128 + 1.52589i −0.424172 + 0.0609867i
\(627\) 0.0107857 + 0.0495809i 0.000430738 + 0.00198007i
\(628\) −20.3789 + 7.60094i −0.813207 + 0.303311i
\(629\) −3.42682 2.96936i −0.136636 0.118396i
\(630\) −1.71966 + 2.30112i −0.0685130 + 0.0916788i
\(631\) 0.688339 0.314354i 0.0274023 0.0125142i −0.401667 0.915786i \(-0.631569\pi\)
0.429069 + 0.903272i \(0.358842\pi\)
\(632\) 11.7245 6.40208i 0.466377 0.254661i
\(633\) −14.9211 + 8.14752i −0.593059 + 0.323835i
\(634\) −11.9769 + 5.46969i −0.475665 + 0.217229i
\(635\) 1.62316 + 11.2242i 0.0644132 + 0.445418i
\(636\) 9.50416 + 8.23540i 0.376865 + 0.326555i
\(637\) 28.6073 10.6700i 1.13346 0.422760i
\(638\) −0.0121627 0.0559108i −0.000481524 0.00221353i
\(639\) 14.2967 2.05556i 0.565569 0.0813165i
\(640\) 1.69110 + 1.46293i 0.0668468 + 0.0578274i
\(641\) −22.9960 + 19.9262i −0.908289 + 0.787037i −0.977581 0.210560i \(-0.932471\pi\)
0.0692924 + 0.997596i \(0.477926\pi\)
\(642\) −6.48244 + 11.8717i −0.255842 + 0.468539i
\(643\) −25.9937 25.9937i −1.02509 1.02509i −0.999677 0.0254147i \(-0.991909\pi\)
−0.0254147 0.999677i \(-0.508091\pi\)
\(644\) −3.30115 5.20225i −0.130084 0.204997i
\(645\) −6.77242 + 12.4269i −0.266664 + 0.489309i
\(646\) 10.6624 3.13075i 0.419505 0.123178i
\(647\) 0.0758563 1.06061i 0.00298222 0.0416969i −0.995743 0.0921720i \(-0.970619\pi\)
0.998725 + 0.0504752i \(0.0160736\pi\)
\(648\) −0.212565 + 0.977147i −0.00835035 + 0.0383860i
\(649\) 0.00516354 + 0.0359132i 0.000202687 + 0.00140972i
\(650\) 0.0466604 + 28.5374i 0.00183017 + 1.11933i
\(651\) 2.14880 + 0.981325i 0.0842182 + 0.0384612i
\(652\) −3.34371 + 0.239147i −0.130950 + 0.00936570i
\(653\) 12.1079 + 16.1743i 0.473819 + 0.632948i 0.972240 0.233988i \(-0.0751775\pi\)
−0.498421 + 0.866935i \(0.666087\pi\)
\(654\) −6.95962 15.2394i −0.272142 0.595909i
\(655\) 18.2113 18.2411i 0.711575 0.712739i
\(656\) −4.28906 1.25938i −0.167460 0.0491706i
\(657\) −4.65133 + 12.4707i −0.181466 + 0.486529i
\(658\) 0.629711 0.471396i 0.0245487 0.0183769i
\(659\) −17.4624 + 20.1527i −0.680239 + 0.785038i −0.985942 0.167089i \(-0.946563\pi\)
0.305703 + 0.952127i \(0.401109\pi\)
\(660\) 0.0183052 + 0.00261662i 0.000712528 + 0.000101852i
\(661\) −11.2251 + 17.4665i −0.436604 + 0.679370i −0.987927 0.154923i \(-0.950487\pi\)
0.551322 + 0.834292i \(0.314123\pi\)
\(662\) −20.5925 + 27.5083i −0.800350 + 1.06914i
\(663\) −10.1005 2.19723i −0.392272 0.0853335i
\(664\) −2.07575 2.39555i −0.0805549 0.0929653i
\(665\) 9.54167 + 14.8205i 0.370010 + 0.574713i
\(666\) 2.50366i 0.0970148i
\(667\) −19.7328 26.6785i −0.764057 1.03300i
\(668\) −1.91398 + 1.91398i −0.0740542 + 0.0740542i
\(669\) 3.67757 + 12.5247i 0.142183 + 0.484231i
\(670\) −10.8397 + 2.36731i −0.418773 + 0.0914572i
\(671\) 0.0107437 0.00690456i 0.000414756 0.000266548i
\(672\) −1.02846 0.769898i −0.0396738 0.0296995i
\(673\) −17.9320 + 3.90086i −0.691227 + 0.150367i −0.544438 0.838801i \(-0.683257\pi\)
−0.146788 + 0.989168i \(0.546894\pi\)
\(674\) −10.1144 + 22.1474i −0.389591 + 0.853086i
\(675\) −3.00293 3.99780i −0.115583 0.153875i
\(676\) −2.78589 + 19.3763i −0.107149 + 0.745241i
\(677\) 11.2249 + 4.18668i 0.431409 + 0.160907i 0.555781 0.831328i \(-0.312419\pi\)
−0.124373 + 0.992236i \(0.539692\pi\)
\(678\) 6.69716 + 12.2649i 0.257203 + 0.471032i
\(679\) −1.89119 + 6.44080i −0.0725772 + 0.247175i
\(680\) 0.285600 4.03962i 0.0109523 0.154912i
\(681\) 20.6294 + 2.96606i 0.790520 + 0.113660i
\(682\) −0.00108476 0.0151670i −4.15378e−5 0.000580774i
\(683\) 1.10159 + 2.95349i 0.0421514 + 0.113012i 0.956320 0.292322i \(-0.0944279\pi\)
−0.914169 + 0.405334i \(0.867155\pi\)
\(684\) 5.16179 + 3.31728i 0.197366 + 0.126839i
\(685\) −30.2039 + 13.8235i −1.15403 + 0.528170i
\(686\) −8.57756 13.3469i −0.327493 0.509589i
\(687\) −1.01368 0.0725001i −0.0386745 0.00276605i
\(688\) −5.55500 3.03326i −0.211782 0.115642i
\(689\) −71.7764 −2.73446
\(690\) 10.3042 2.97042i 0.392274 0.113082i
\(691\) −44.7995 −1.70425 −0.852126 0.523337i \(-0.824687\pi\)
−0.852126 + 0.523337i \(0.824687\pi\)
\(692\) −12.3561 6.74697i −0.469710 0.256481i
\(693\) −0.0105969 0.000757905i −0.000402543 2.87904e-5i
\(694\) 6.23795 + 9.70644i 0.236789 + 0.368451i
\(695\) −10.1286 + 27.2239i −0.384202 + 1.03266i
\(696\) −5.82078 3.74079i −0.220636 0.141794i
\(697\) 2.82919 + 7.58534i 0.107163 + 0.287315i
\(698\) −0.0437491 0.611693i −0.00165593 0.0231529i
\(699\) −12.1495 1.74684i −0.459537 0.0660714i
\(700\) 6.27451 1.37568i 0.237154 0.0519960i
\(701\) 2.12892 7.25045i 0.0804084 0.273846i −0.909469 0.415772i \(-0.863511\pi\)
0.989877 + 0.141926i \(0.0453296\pi\)
\(702\) −2.73531 5.00935i −0.103238 0.189066i
\(703\) −14.3934 5.36848i −0.542859 0.202476i
\(704\) −0.00117688 + 0.00818537i −4.43553e−5 + 0.000308498i
\(705\) 0.479503 + 1.28239i 0.0180591 + 0.0482977i
\(706\) −2.99962 + 6.56825i −0.112892 + 0.247199i
\(707\) 3.38524 0.736414i 0.127315 0.0276957i
\(708\) 3.51237 + 2.62933i 0.132003 + 0.0988161i
\(709\) 18.6039 11.9560i 0.698685 0.449018i −0.142479 0.989798i \(-0.545507\pi\)
0.841164 + 0.540780i \(0.181871\pi\)
\(710\) −27.1843 17.4389i −1.02021 0.654472i
\(711\) −3.76354 12.8175i −0.141144 0.480692i
\(712\) 1.33907 1.33907i 0.0501839 0.0501839i
\(713\) −4.18161 7.76391i −0.156603 0.290761i
\(714\) 2.32672i 0.0870751i
\(715\) −0.0887382 + 0.0571311i −0.00331862 + 0.00213658i
\(716\) −16.6009 19.1585i −0.620405 0.715986i
\(717\) 4.67537 + 1.01706i 0.174605 + 0.0379829i
\(718\) 17.9195 23.9376i 0.668748 0.893343i
\(719\) −25.7252 + 40.0292i −0.959389 + 1.49284i −0.0916663 + 0.995790i \(0.529219\pi\)
−0.867723 + 0.497049i \(0.834417\pi\)
\(720\) 1.78897 1.34149i 0.0666709 0.0499943i
\(721\) 6.12286 7.06615i 0.228027 0.263157i
\(722\) 14.9288 11.1756i 0.555594 0.415913i
\(723\) 2.09343 5.61270i 0.0778555 0.208739i
\(724\) 5.86649 + 1.72256i 0.218026 + 0.0640183i
\(725\) 33.1785 9.80105i 1.23222 0.364002i
\(726\) −4.56954 10.0059i −0.169591 0.371353i
\(727\) 0.787438 + 1.05189i 0.0292045 + 0.0390126i 0.814906 0.579593i \(-0.196789\pi\)
−0.785701 + 0.618606i \(0.787698\pi\)
\(728\) 7.31379 0.523093i 0.271067 0.0193871i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) 26.1097 14.2847i 0.966362 0.528700i
\(731\) 1.63131 + 11.3460i 0.0603362 + 0.419648i
\(732\) 0.328275 1.50906i 0.0121334 0.0557764i
\(733\) −0.984793 + 13.7692i −0.0363742 + 0.508577i 0.946307 + 0.323271i \(0.104782\pi\)
−0.982681 + 0.185307i \(0.940672\pi\)
\(734\) −23.8060 + 6.99007i −0.878696 + 0.258008i
\(735\) 11.4746 3.37944i 0.423247 0.124652i
\(736\) 1.32465 + 4.60926i 0.0488271 + 0.169900i
\(737\) −0.0290145 0.0290145i −0.00106876 0.00106876i
\(738\) −2.14231 + 3.92334i −0.0788594 + 0.144420i
\(739\) −32.4974 + 28.1591i −1.19543 + 1.03585i −0.196973 + 0.980409i \(0.563111\pi\)
−0.998462 + 0.0554410i \(0.982344\pi\)
\(740\) −3.66268 + 4.23395i −0.134643 + 0.155643i
\(741\) −34.6638 + 4.98390i −1.27341 + 0.183088i
\(742\) 3.43426 + 15.7870i 0.126076 + 0.579560i
\(743\) 1.07146 0.399632i 0.0393079 0.0146611i −0.329733 0.944074i \(-0.606959\pi\)
0.369041 + 0.929413i \(0.379686\pi\)
\(744\) −1.38964 1.20413i −0.0509468 0.0441457i
\(745\) −5.80253 4.33632i −0.212588 0.158870i
\(746\) 19.2671 8.79898i 0.705418 0.322153i
\(747\) −2.78204 + 1.51911i −0.101789 + 0.0555812i
\(748\) 0.0131448 0.00717763i 0.000480623 0.000262440i
\(749\) −15.8070 + 7.21880i −0.577574 + 0.263769i
\(750\) −0.770243 + 11.1538i −0.0281253 + 0.407278i
\(751\) −0.717626 0.621827i −0.0261866 0.0226908i 0.641669 0.766982i \(-0.278242\pi\)
−0.667856 + 0.744291i \(0.732788\pi\)
\(752\) −0.573679 + 0.213971i −0.0209199 + 0.00780273i
\(753\) −5.59186 25.7054i −0.203779 0.936755i
\(754\) 39.0892 5.62018i 1.42355 0.204675i
\(755\) 0.703594 + 9.72578i 0.0256064 + 0.353957i
\(756\) −0.970919 + 0.841306i −0.0353120 + 0.0305980i
\(757\) 14.9570 27.3916i 0.543620 0.995566i −0.451054 0.892497i \(-0.648952\pi\)
0.994674 0.103069i \(-0.0328663\pi\)
\(758\) 8.46916 + 8.46916i 0.307614 + 0.307614i
\(759\) 0.0298226 + 0.0261433i 0.00108249 + 0.000948943i
\(760\) −3.87617 13.1612i −0.140603 0.477407i
\(761\) −47.0387 + 13.8118i −1.70515 + 0.500677i −0.981818 0.189823i \(-0.939209\pi\)
−0.723332 + 0.690500i \(0.757391\pi\)
\(762\) −0.361820 + 5.05890i −0.0131074 + 0.183265i
\(763\) 4.57510 21.0314i 0.165630 0.761387i
\(764\) 0.293513 + 2.04143i 0.0106189 + 0.0738562i
\(765\) −3.88659 1.13776i −0.140520 0.0411357i
\(766\) 22.0971 + 10.0914i 0.798400 + 0.364617i
\(767\) −24.9778 + 1.78645i −0.901896 + 0.0645049i
\(768\) 0.599278 + 0.800541i 0.0216246 + 0.0288870i
\(769\) −3.14935 6.89613i −0.113569 0.248681i 0.844309 0.535856i \(-0.180011\pi\)
−0.957878 + 0.287175i \(0.907284\pi\)
\(770\) 0.0168117 + 0.0167842i 0.000605851 + 0.000604861i
\(771\) −27.2434 7.99939i −0.981148 0.288091i
\(772\) −2.23677 + 5.99702i −0.0805032 + 0.215837i
\(773\)