Properties

Label 690.2.w.b.373.7
Level $690$
Weight $2$
Character 690.373
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 373.7
Character \(\chi\) \(=\) 690.373
Dual form 690.2.w.b.37.7

$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{1}{22}\right)\)

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 −0.993761 0.111529i \(-0.964425\pi\)
0.824070 + 0.566488i \(0.191698\pi\)
\(8\) 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 0.959843 0.280536i \(-0.0905123\pi\)
−0.959141 + 0.282929i \(0.908694\pi\)
\(12\) −0.479249 + 0.877679i −0.138347 + 0.253364i
\(13\) 5.34764 1.99457i 1.48317 0.553193i 0.527996 0.849247i \(-0.322943\pi\)
0.955171 + 0.296054i \(0.0956708\pi\)
\(14\) 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 0.421982 0.906604i \(-0.361334\pi\)
0.00723156 + 0.999974i \(0.497698\pi\)
\(18\) 0.800541 0.599278i 0.188689 0.141251i
\(19\) 5.16179 + 3.31728i 1.18420 + 0.761037i 0.976153 0.217083i \(-0.0696543\pi\)
0.208043 + 0.978120i \(0.433291\pi\)
\(20\) −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 0.992014 + 0.126129i \(0.0402553\pi\)
−0.297366 + 0.954763i \(0.596108\pi\)
\(30\) 1.34149 1.78897i 0.244921 0.326619i
\(31\) 1.20413 + 1.38964i 0.216269 + 0.249587i 0.853509 0.521077i \(-0.174470\pi\)
−0.637241 + 0.770665i \(0.719924\pi\)
\(32\) −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 −0.906736 0.421699i \(-0.861434\pi\)
0.660074 + 0.751201i \(0.270525\pi\)
\(38\) 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 −0.877886 0.478869i \(-0.841047\pi\)
0.977239 0.212143i \(-0.0680441\pi\)
\(42\) −0.273085 1.25535i −0.0421379 0.193705i
\(43\) −0.451519 6.31307i −0.0688561 0.962734i −0.908039 0.418885i \(-0.862421\pi\)
0.839183 0.543849i \(-0.183033\pi\)
\(44\) 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 −0.674825 0.737978i \(-0.735781\pi\)
0.737978 + 0.674825i \(0.235781\pi\)
\(48\) 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 −0.633127 0.774048i \(-0.718229\pi\)
−0.985379 + 0.170377i \(0.945502\pi\)
\(54\) −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 0.138320 0.990388i \(-0.455830\pi\)
−0.657905 + 0.753101i \(0.728557\pi\)
\(60\) 0.320035 2.21305i 0.0413163 0.285703i
\(61\) 1.16714 1.01133i 0.149437 0.129488i −0.576934 0.816791i \(-0.695751\pi\)
0.726371 + 0.687303i \(0.241205\pi\)
\(62\) 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 0.981652 0.190683i \(-0.0610703\pi\)
−0.691134 + 0.722727i \(0.742889\pi\)
\(68\) 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 0.967505 0.252853i \(-0.0813689\pi\)
0.677214 + 0.735786i \(0.263187\pi\)
\(72\) −0.0713392 0.997452i −0.00840740 0.117551i
\(73\) −2.82922 13.0057i −0.331135 1.52220i −0.778380 0.627793i \(-0.783958\pi\)
0.447245 0.894412i \(-0.352405\pi\)
\(74\) −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 0.287962 + 0.957642i \(0.407022\pi\)
−0.912312 + 0.409495i \(0.865705\pi\)
\(80\) 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 0.450875 0.892587i \(-0.351112\pi\)
−0.729405 + 0.684082i \(0.760203\pi\)
\(84\) −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 −0.817660 0.575701i \(-0.804729\pi\)
0.686206 + 0.727407i \(0.259275\pi\)
\(90\) −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 −0.790163 0.612896i \(-0.790004\pi\)
0.365455 + 0.930829i \(0.380913\pi\)
\(98\) 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 0.961779 0.273826i \(-0.0882892\pi\)
−0.999966 + 0.00823041i \(0.997380\pi\)
\(102\) −1.69689 + 0.632909i −0.168017 + 0.0626673i
\(103\) 3.48788 6.38757i 0.343671 0.629386i −0.647487 0.762077i \(-0.724180\pi\)
0.991158 + 0.132691i \(0.0423616\pi\)
\(104\) −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 0.708083 + 0.706129i \(0.249560\pi\)
−0.801368 + 0.598171i \(0.795894\pi\)
\(108\) −0.349464 + 0.936950i −0.0336272 + 0.0901580i
\(109\) 14.0939 9.05757i 1.34995 0.867558i 0.352284 0.935893i \(-0.385405\pi\)
0.997662 + 0.0683348i \(0.0217686\pi\)
\(110\) −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 −0.938072 0.346440i \(-0.887390\pi\)
−0.215716 + 0.976456i \(0.569209\pi\)
\(114\) −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 −0.963012 0.269457i \(-0.913156\pi\)
0.747326 + 0.664458i \(0.231338\pi\)
\(128\) −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 −0.995071 0.0991653i \(-0.968383\pi\)
0.576689 0.816964i \(-0.304345\pi\)
\(132\) −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 0.995208 0.0977792i \(-0.0311739\pi\)
−0.0977792 + 0.995208i \(0.531174\pi\)
\(138\) −3.85573 2.85190i −0.328222 0.242770i
\(139\) 12.9902i 1.10182i 0.834566 + 0.550909i \(0.185719\pi\)
−0.834566 + 0.550909i \(0.814281\pi\)
\(140\) −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 −0.151920 0.988393i \(-0.548545\pi\)
0.406563 + 0.913623i \(0.366727\pi\)
\(150\) −1.41651 + 4.79516i −0.115657 + 0.391523i
\(151\) −1.81157 + 3.96678i −0.147423 + 0.322812i −0.968909 0.247417i \(-0.920418\pi\)
0.821486 + 0.570229i \(0.193146\pi\)
\(152\) 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 −0.669827 0.742517i \(-0.733632\pi\)
0.300843 0.953674i \(-0.402732\pi\)
\(158\) 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 0.807165 0.590326i \(-0.201001\pi\)
−0.933000 + 0.359876i \(0.882819\pi\)
\(164\) −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 −0.949512 0.313731i \(-0.898421\pi\)
0.994035 + 0.109061i \(0.0347845\pi\)
\(168\) −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 −0.0648683 0.997894i \(-0.520663\pi\)
−0.874552 + 0.484931i \(0.838845\pi\)
\(174\) −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 −0.892188 0.451664i \(-0.850830\pi\)
−0.983297 + 0.182010i \(0.941740\pi\)
\(180\) −0.161343 + 2.23024i −0.0120258 + 0.166232i
\(181\) 4.62077 + 4.00392i 0.343459 + 0.297609i 0.809460 0.587175i \(-0.199760\pi\)
−0.466001 + 0.884784i \(0.654306\pi\)
\(182\) 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 −0.346384 0.938093i \(-0.612591\pi\)
0.482130 + 0.876100i \(0.339863\pi\)
\(192\) 0.997452 + 0.0713392i 0.0719849 + 0.00514846i
\(193\) 3.83572 5.12392i 0.276101 0.368828i −0.640960 0.767574i \(-0.721464\pi\)
0.917061 + 0.398746i \(0.130555\pi\)
\(194\) −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 −0.982495 0.186288i \(-0.940354\pi\)
0.620528 0.784185i \(-0.286918\pi\)
\(198\) 0.00662011 + 0.00495575i 0.000470471 + 0.000352190i
\(199\) 7.68702 + 8.87130i 0.544919 + 0.628870i 0.959692 0.281055i \(-0.0906845\pi\)
−0.414773 + 0.909925i \(0.636139\pi\)
\(200\) −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 0.930694 0.365798i \(-0.119204\pi\)
0.0538829 + 0.998547i \(0.482840\pi\)
\(212\) −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 0.689985 + 0.723823i \(0.257617\pi\)
−0.995460 + 0.0951847i \(0.969656\pi\)
\(224\) 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 −0.741412 0.671050i \(-0.765843\pi\)
−0.638365 + 0.769734i \(0.720389\pi\)
\(228\) −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 0.335720 0.941962i \(-0.391021\pi\)
0.466358 + 0.884596i \(0.345566\pi\)
\(234\) 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 −0.293774 0.955875i \(-0.594911\pi\)
−0.0125730 + 0.999921i \(0.504002\pi\)
\(240\) −1.68871 1.46569i −0.109006 0.0946102i
\(241\) −1.68769 5.74774i −0.108714 0.370245i 0.887108 0.461561i \(-0.152711\pi\)
−0.995822 + 0.0913167i \(0.970892\pi\)
\(242\) 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 −0.300944 0.953642i \(-0.597302\pi\)
0.768748 0.639552i \(-0.220880\pi\)
\(252\) 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 0.766596 0.642130i \(-0.221949\pi\)
0.964070 + 0.265647i \(0.0855854\pi\)
\(258\) 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 0.979384 + 0.202006i \(0.0647460\pi\)
−0.607884 + 0.794026i \(0.707981\pi\)
\(264\) −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 −0.393370 0.919380i \(-0.628691\pi\)
0.437218 + 0.899355i \(0.355964\pi\)
\(270\) 1.07324 1.96167i 0.0653151 0.119384i
\(271\) −2.35649 + 16.3898i −0.143147 + 0.995608i 0.783960 + 0.620811i \(0.213197\pi\)
−0.927107 + 0.374797i \(0.877713\pi\)
\(272\) −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 −0.906292 0.422652i \(-0.861099\pi\)
0.422652 + 0.906292i \(0.361099\pi\)
\(278\) 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 −0.669454 0.742854i \(-0.733472\pi\)
−0.851622 + 0.524156i \(0.824381\pi\)
\(282\) −0.130150 + 0.598291i −0.00775033 + 0.0356277i
\(283\) −4.67868 1.74506i −0.278119 0.103733i 0.206534 0.978439i \(-0.433781\pi\)
−0.484653 + 0.874706i \(0.661054\pi\)
\(284\) 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 −0.745287 0.666743i \(-0.767688\pi\)
0.954912 0.296887i \(-0.0959486\pi\)
\(294\) −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 −0.751881 0.659299i \(-0.770853\pi\)
−0.838056 + 0.545584i \(0.816308\pi\)
\(308\) −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 −0.0243096 0.999704i \(-0.507739\pi\)
0.520030 + 0.854148i \(0.325921\pi\)
\(312\) 1.99457 + 5.34764i 0.112920 + 0.302750i
\(313\) −8.58334 6.42540i −0.485159 0.363185i 0.328523 0.944496i \(-0.393449\pi\)
−0.813682 + 0.581311i \(0.802540\pi\)
\(314\) −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 0.522215 0.852814i \(-0.325106\pi\)
−0.965394 + 0.260796i \(0.916015\pi\)
\(318\) 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 −0.459968 0.887936i \(-0.652139\pi\)
0.191175 0.981556i \(-0.438770\pi\)
\(332\) −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 −0.699271 0.714857i \(-0.746492\pi\)
0.793888 0.608064i \(-0.208054\pi\)
\(338\) 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 −0.183871 0.982950i \(-0.558863\pi\)
0.727502 + 0.686106i \(0.240681\pi\)
\(348\) −6.90155 + 0.493609i −0.369962 + 0.0264602i
\(349\) −0.331551 + 0.515903i −0.0177475 + 0.0276157i −0.850014 0.526760i \(-0.823407\pi\)
0.832266 + 0.554376i \(0.187043\pi\)
\(350\) 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 −0.965154 0.261682i \(-0.915723\pi\)
0.992572 0.121662i \(-0.0388225\pi\)
\(354\) 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 0.720338 + 0.693623i \(0.243987\pi\)
−0.495744 + 0.868469i \(0.665104\pi\)
\(360\) 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 0.0809284 0.996720i \(-0.474211\pi\)
−0.996720 + 0.0809284i \(0.974211\pi\)
\(368\) 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 0.998066 0.0621569i \(-0.0197979\pi\)
−0.340827 + 0.940126i \(0.610707\pi\)
\(374\) 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 0.0270816 0.999633i \(-0.491379\pi\)
0.563225 + 0.826304i \(0.309560\pi\)
\(380\) −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 0.674996 0.737822i \(-0.264145\pi\)
0.563122 + 0.826374i \(0.309600\pi\)
\(384\) 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 0.242388 0.970179i \(-0.422069\pi\)
−0.320609 + 0.947212i \(0.603887\pi\)
\(390\) 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 −0.560109 0.828419i \(-0.689241\pi\)
0.853631 0.520879i \(-0.174396\pi\)
\(398\) 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 0.709569 0.704636i \(-0.248890\pi\)
−0.0678596 + 0.997695i \(0.521617\pi\)
\(402\) −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 −0.362905 0.931826i \(-0.618215\pi\)
−0.610731 + 0.791838i \(0.709124\pi\)
\(410\) 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 −0.880396 0.474240i \(-0.842723\pi\)
0.978342 0.206994i \(-0.0663680\pi\)
\(420\) 2.52018 + 1.37880i 0.122972 + 0.0672785i
\(421\) −32.3308 + 14.7650i −1.57571 + 0.719600i −0.995490 0.0948631i \(-0.969759\pi\)
−0.580215 + 0.814464i \(0.697031\pi\)
\(422\) 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 0.943180 0.332281i \(-0.107818\pi\)
−0.694065 + 0.719913i \(0.744182\pi\)
\(432\) 0.599278 + 0.800541i 0.0288328 + 0.0385161i
\(433\) −3.31868 + 0.721934i −0.159485 + 0.0346939i −0.291599 0.956541i \(-0.594187\pi\)
0.132114 + 0.991235i \(0.457824\pi\)
\(434\) −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 −0.999997 0.00226649i \(-0.999279\pi\)
0.842477 + 0.538733i \(0.181097\pi\)
\(440\) −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 −0.545905 0.837847i \(-0.683814\pi\)
−0.844627 + 0.535356i \(0.820178\pi\)
\(444\) −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 0.976911 + 0.213645i \(0.0685335\pi\)
−0.706325 + 0.707888i \(0.749648\pi\)
\(450\) 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 −0.128856 0.991663i \(-0.541130\pi\)
0.0135844 + 0.999908i \(0.495676\pi\)
\(458\) 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 0.681770 0.731567i \(-0.261211\pi\)
0.778943 + 0.627095i \(0.215756\pi\)
\(464\) 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 −0.702024 0.712153i \(-0.747720\pi\)
0.996916 0.0784810i \(-0.0250070\pi\)
\(468\) 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 0.671687 0.740835i \(-0.265570\pi\)
−0.394858 + 0.918742i \(0.629206\pi\)
\(480\) −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 −0.623430 0.781879i \(-0.714261\pi\)
−0.242287 + 0.970205i \(0.577898\pi\)
\(488\) −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 0.600406 0.799695i \(-0.295006\pi\)
−0.877002 + 0.480486i \(0.840460\pi\)
\(492\) 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 −0.468905 0.883249i \(-0.655351\pi\)
0.360447 + 0.932780i \(0.382624\pi\)
\(500\) 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 −0.865906 0.500207i \(-0.833257\pi\)
0.785905 0.618347i \(-0.212197\pi\)
\(504\) 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 0.946870 0.321617i \(-0.104226\pi\)
−0.183590 + 0.983003i \(0.558772\pi\)
\(510\) 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 0.0541685 0.998532i \(-0.482749\pi\)
0.996077 + 0.0884888i \(0.0282037\pi\)
\(522\) 6.48292 + 2.41801i 0.283750 + 0.105833i
\(523\) 2.51334 11.5536i 0.109900 0.505204i −0.888982 0.457942i \(-0.848587\pi\)
0.998883 0.0472622i \(-0.0150496\pi\)
\(524\) −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 −0.618900 0.785470i \(-0.712421\pi\)
−0.0959945 + 0.995382i \(0.530603\pi\)
\(542\) 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 0.965369 0.260887i \(-0.0840149\pi\)
−0.522295 + 0.852765i \(0.674924\pi\)
\(548\) 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 −0.720108 0.693862i \(-0.755908\pi\)
0.462877 + 0.886422i \(0.346817\pi\)
\(558\) 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 −0.670968 0.741486i \(-0.734121\pi\)
0.986531 + 0.163576i \(0.0523030\pi\)
\(564\) 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 −0.165203 0.986260i \(-0.552828\pi\)
0.828506 + 0.559981i \(0.189191\pi\)
\(570\) 12.8590 4.78419i 0.538604 0.200388i
\(571\) −11.4768 + 17.8583i −0.480290 + 0.747346i −0.993853 0.110706i \(-0.964689\pi\)
0.513563 + 0.858052i \(0.328325\pi\)
\(572\) 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 −0.987548 0.157319i \(-0.949715\pi\)
−0.401564 + 0.915831i \(0.631533\pi\)
\(578\) −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 0.442216 + 0.896909i \(0.354193\pi\)
−0.993608 + 0.112890i \(0.963989\pi\)
\(588\) −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 −0.743113 0.669166i \(-0.766652\pi\)
0.432701 + 0.901538i \(0.357561\pi\)
\(594\) −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 \(-0.832548\pi\)
0.864790 0.502134i \(-0.167452\pi\)
\(600\) 3.26812 + 3.78410i 0.133420 + 0.154485i
\(601\) −22.7364 + 26.2392i −0.927437 + 1.07032i 0.0699119 + 0.997553i \(0.477728\pi\)
−0.997349 + 0.0727664i \(0.976817\pi\)
\(602\) 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 0.722673 0.691190i \(-0.242913\pi\)
−0.459592 + 0.888130i \(0.652004\pi\)
\(608\) −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 −0.864891 0.501959i \(-0.832613\pi\)
−0.927524 + 0.373763i \(0.878067\pi\)
\(614\) −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 0.843965 + 0.536398i \(0.180215\pi\)
−0.544870 + 0.838521i \(0.683421\pi\)
\(618\) 0.519192 + 7.25926i 0.0208850 + 0.292010i
\(619\) −43.4470 12.7572i −1.74628 0.512755i −0.756336 0.654184i \(-0.773012\pi\)
−0.989948 + 0.141429i \(0.954830\pi\)
\(620\) −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 0.429069 0.903272i \(-0.358842\pi\)
−0.401667 + 0.915786i \(0.631569\pi\)
\(632\) 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 0.0692924 0.997596i \(-0.477926\pi\)
−0.977581 + 0.210560i \(0.932471\pi\)
\(642\) −6.48244 11.8717i −0.255842 0.468539i
\(643\) −25.9937 + 25.9937i −1.02509 + 1.02509i −0.0254147 + 0.999677i \(0.508091\pi\)
−0.999677 + 0.0254147i \(0.991909\pi\)
\(644\) −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 0.998725 0.0504752i \(-0.0160736\pi\)
−0.995743 + 0.0921720i \(0.970619\pi\)
\(648\) −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 −0.498421 0.866935i \(-0.666087\pi\)
0.972240 + 0.233988i \(0.0751775\pi\)
\(654\) −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 0.305703 0.952127i \(-0.401109\pi\)
−0.985942 + 0.167089i \(0.946563\pi\)
\(660\) 0.0183052 0.00261662i 0.000712528 0.000101852i
\(661\) −11.2251 17.4665i −0.436604 0.679370i 0.551322 0.834292i \(-0.314123\pi\)
−0.987927 + 0.154923i \(0.950487\pi\)
\(662\) −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 −0.146788 0.989168i \(-0.546894\pi\)
−0.544438 + 0.838801i \(0.683257\pi\)
\(674\) −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 −0.124373 0.992236i \(-0.539692\pi\)
0.555781 + 0.831328i \(0.312419\pi\)
\(678\) 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 −0.914169 0.405334i \(-0.867155\pi\)
0.956320 + 0.292322i \(0.0944279\pi\)
\(684\) 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 0.989877 0.141926i \(-0.0453296\pi\)
−0.909469 + 0.415772i \(0.863511\pi\)
\(702\) −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 0.841164 0.540780i \(-0.181871\pi\)
−0.142479 + 0.989798i \(0.545507\pi\)
\(710\) −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 −0.867723 0.497049i \(-0.834417\pi\)
−0.0916663 0.995790i \(-0.529219\pi\)
\(720\) 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 −0.785701 0.618606i \(-0.787698\pi\)
0.814906 + 0.579593i \(0.196789\pi\)
\(728\) 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 −0.982681 0.185307i \(-0.940672\pi\)
0.946307 0.323271i \(-0.104782\pi\)
\(734\) −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 −0.998462 0.0554410i \(-0.982344\pi\)
−0.196973 0.980409i \(-0.563111\pi\)
\(740\) −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 0.369041 0.929413i \(-0.379686\pi\)
−0.329733 + 0.944074i \(0.606959\pi\)
\(744\) −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 −0.667856 0.744291i \(-0.732788\pi\)
0.641669 + 0.766982i \(0.278242\pi\)
\(752\) −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 0.994674 + 0.103069i \(0.0328663\pi\)
−0.451054 + 0.892497i \(0.648952\pi\)
\(758\) 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 −0.723332 0.690500i \(-0.757391\pi\)
−0.981818 + 0.189823i \(0.939209\pi\)
\(762\) −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 −0.957878 0.287175i \(-0.907284\pi\)
0.844309 + 0.535856i \(0.180011\pi\)
\(770\) 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
\(773\)