Properties

Label 370.2.v.b.289.10
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.10
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.b.169.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(1.01326 - 2.78391i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.23483 - 0.0743186i) q^{5} -2.96257i q^{6} +(-1.02406 + 0.180569i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.42531 - 3.71328i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(1.01326 - 2.78391i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.23483 - 0.0743186i) q^{5} -2.96257i q^{6} +(-1.02406 + 0.180569i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.42531 - 3.71328i) q^{9} +(-2.12547 + 0.694521i) q^{10} +(-1.08964 + 1.88731i) q^{11} +(-1.01326 - 2.78391i) q^{12} +(3.72808 - 3.12823i) q^{13} +(-0.900543 + 0.519929i) q^{14} +(-2.47136 + 6.14626i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.949228 + 0.796496i) q^{17} +(-5.42845 - 1.97579i) q^{18} +(1.59512 - 4.38255i) q^{19} +(-1.75975 + 1.37959i) q^{20} +(-0.534950 + 3.03385i) q^{21} +(-0.378428 + 2.14617i) q^{22} +(2.09433 + 3.62748i) q^{23} +(-1.90431 - 2.26946i) q^{24} +(4.98895 + 0.332179i) q^{25} +(2.43333 - 4.21465i) q^{26} +(-7.12443 + 4.11329i) q^{27} +(-0.668408 + 0.796577i) q^{28} +(6.14779 + 3.54943i) q^{29} +(-0.220174 + 6.62085i) q^{30} -3.83594i q^{31} +(-0.173648 - 0.984808i) q^{32} +(4.15002 + 4.94580i) q^{33} +(1.16440 + 0.423807i) q^{34} +(2.30202 - 0.327436i) q^{35} -5.77684 q^{36} +(-5.16263 + 3.21671i) q^{37} -4.66382i q^{38} +(-4.93119 - 13.5483i) q^{39} +(-1.18178 + 1.89826i) q^{40} +(-5.14883 + 4.32038i) q^{41} +(0.534950 + 3.03385i) q^{42} -2.74566 q^{43} +(0.378428 + 2.14617i) q^{44} +(9.61387 + 8.62744i) q^{45} +(3.20869 + 2.69241i) q^{46} +(10.9104 - 6.29914i) q^{47} +(-2.56566 - 1.48129i) q^{48} +(-5.56176 + 2.02431i) q^{49} +(4.80169 - 1.39418i) q^{50} +(3.17919 - 1.83550i) q^{51} +(0.845087 - 4.79272i) q^{52} +(9.66804 + 1.70474i) q^{53} +(-5.28795 + 6.30193i) q^{54} +(2.57543 - 4.13685i) q^{55} +(-0.355652 + 0.977146i) q^{56} +(-10.5844 - 8.88133i) q^{57} +(6.99101 + 1.23270i) q^{58} +(-5.46090 - 0.962903i) q^{59} +(2.05757 + 6.29687i) q^{60} +(1.79209 + 2.13573i) q^{61} +(-1.31197 - 3.60460i) q^{62} +(5.20229 + 3.00354i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-8.56412 + 6.71400i) q^{65} +(5.59130 + 3.22814i) q^{66} +(8.75050 - 1.54295i) q^{67} +1.23913 q^{68} +(12.2207 - 2.15483i) q^{69} +(2.05120 - 1.09503i) q^{70} +(6.94924 + 2.52932i) q^{71} +(-5.42845 + 1.97579i) q^{72} -7.86051i q^{73} +(-3.75111 + 4.78845i) q^{74} +(5.97986 - 13.5522i) q^{75} +(-1.59512 - 4.38255i) q^{76} +(0.775066 - 2.12948i) q^{77} +(-9.26761 - 11.0447i) q^{78} +(-15.6757 + 2.76405i) q^{79} +(-0.461264 + 2.18798i) q^{80} +(1.22272 + 6.93437i) q^{81} +(-3.36066 + 5.82084i) q^{82} +(-2.02137 + 2.40898i) q^{83} +(1.54033 + 2.66792i) q^{84} +(-2.06217 - 1.85058i) q^{85} +(-2.58008 + 0.939073i) q^{86} +(16.1106 - 13.5184i) q^{87} +(1.08964 + 1.88731i) q^{88} +(-12.0974 - 2.13309i) q^{89} +(11.9848 + 4.81901i) q^{90} +(-3.25291 + 3.87667i) q^{91} +(3.93605 + 1.43260i) q^{92} +(-10.6789 - 3.88680i) q^{93} +(8.09802 - 9.65085i) q^{94} +(-3.89053 + 9.67573i) q^{95} +(-2.91756 - 0.514445i) q^{96} +(5.15005 + 8.92014i) q^{97} +(-4.53398 + 3.80446i) q^{98} +(11.8301 - 4.30581i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) 1.01326 2.78391i 0.585006 1.60729i −0.194505 0.980901i \(-0.562310\pi\)
0.779511 0.626388i \(-0.215468\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −2.23483 0.0743186i −0.999448 0.0332363i
\(6\) 2.96257i 1.20947i
\(7\) −1.02406 + 0.180569i −0.387058 + 0.0682488i −0.363791 0.931480i \(-0.618518\pi\)
−0.0232669 + 0.999729i \(0.507407\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −4.42531 3.71328i −1.47510 1.23776i
\(10\) −2.12547 + 0.694521i −0.672134 + 0.219627i
\(11\) −1.08964 + 1.88731i −0.328539 + 0.569046i −0.982222 0.187722i \(-0.939890\pi\)
0.653683 + 0.756768i \(0.273223\pi\)
\(12\) −1.01326 2.78391i −0.292503 0.803645i
\(13\) 3.72808 3.12823i 1.03398 0.867615i 0.0426633 0.999090i \(-0.486416\pi\)
0.991319 + 0.131475i \(0.0419713\pi\)
\(14\) −0.900543 + 0.519929i −0.240680 + 0.138957i
\(15\) −2.47136 + 6.14626i −0.638103 + 1.58696i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 0.949228 + 0.796496i 0.230221 + 0.193179i 0.750600 0.660757i \(-0.229765\pi\)
−0.520378 + 0.853936i \(0.674209\pi\)
\(18\) −5.42845 1.97579i −1.27950 0.465699i
\(19\) 1.59512 4.38255i 0.365945 1.00543i −0.610942 0.791675i \(-0.709209\pi\)
0.976888 0.213752i \(-0.0685684\pi\)
\(20\) −1.75975 + 1.37959i −0.393493 + 0.308486i
\(21\) −0.534950 + 3.03385i −0.116736 + 0.662041i
\(22\) −0.378428 + 2.14617i −0.0806812 + 0.457566i
\(23\) 2.09433 + 3.62748i 0.436697 + 0.756382i 0.997432 0.0716133i \(-0.0228148\pi\)
−0.560735 + 0.827995i \(0.689481\pi\)
\(24\) −1.90431 2.26946i −0.388715 0.463252i
\(25\) 4.98895 + 0.332179i 0.997791 + 0.0664358i
\(26\) 2.43333 4.21465i 0.477215 0.826561i
\(27\) −7.12443 + 4.11329i −1.37110 + 0.791603i
\(28\) −0.668408 + 0.796577i −0.126317 + 0.150539i
\(29\) 6.14779 + 3.54943i 1.14162 + 0.659112i 0.946830 0.321734i \(-0.104266\pi\)
0.194785 + 0.980846i \(0.437599\pi\)
\(30\) −0.220174 + 6.62085i −0.0401981 + 1.20880i
\(31\) 3.83594i 0.688955i −0.938795 0.344477i \(-0.888056\pi\)
0.938795 0.344477i \(-0.111944\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) 4.15002 + 4.94580i 0.722425 + 0.860953i
\(34\) 1.16440 + 0.423807i 0.199693 + 0.0726823i
\(35\) 2.30202 0.327436i 0.389113 0.0553467i
\(36\) −5.77684 −0.962806
\(37\) −5.16263 + 3.21671i −0.848731 + 0.528824i
\(38\) 4.66382i 0.756571i
\(39\) −4.93119 13.5483i −0.789622 2.16947i
\(40\) −1.18178 + 1.89826i −0.186856 + 0.300142i
\(41\) −5.14883 + 4.32038i −0.804113 + 0.674731i −0.949195 0.314689i \(-0.898100\pi\)
0.145082 + 0.989420i \(0.453655\pi\)
\(42\) 0.534950 + 3.03385i 0.0825446 + 0.468133i
\(43\) −2.74566 −0.418710 −0.209355 0.977840i \(-0.567136\pi\)
−0.209355 + 0.977840i \(0.567136\pi\)
\(44\) 0.378428 + 2.14617i 0.0570502 + 0.323548i
\(45\) 9.61387 + 8.62744i 1.43315 + 1.28610i
\(46\) 3.20869 + 2.69241i 0.473096 + 0.396975i
\(47\) 10.9104 6.29914i 1.59145 0.918824i 0.598392 0.801204i \(-0.295807\pi\)
0.993059 0.117621i \(-0.0375267\pi\)
\(48\) −2.56566 1.48129i −0.370322 0.213805i
\(49\) −5.56176 + 2.02431i −0.794536 + 0.289188i
\(50\) 4.80169 1.39418i 0.679062 0.197166i
\(51\) 3.17919 1.83550i 0.445175 0.257022i
\(52\) 0.845087 4.79272i 0.117192 0.664631i
\(53\) 9.66804 + 1.70474i 1.32801 + 0.234163i 0.792244 0.610205i \(-0.208913\pi\)
0.535763 + 0.844368i \(0.320024\pi\)
\(54\) −5.28795 + 6.30193i −0.719598 + 0.857584i
\(55\) 2.57543 4.13685i 0.347271 0.557813i
\(56\) −0.355652 + 0.977146i −0.0475260 + 0.130577i
\(57\) −10.5844 8.88133i −1.40193 1.17636i
\(58\) 6.99101 + 1.23270i 0.917964 + 0.161862i
\(59\) −5.46090 0.962903i −0.710948 0.125359i −0.193533 0.981094i \(-0.561995\pi\)
−0.517415 + 0.855734i \(0.673106\pi\)
\(60\) 2.05757 + 6.29687i 0.265631 + 0.812923i
\(61\) 1.79209 + 2.13573i 0.229453 + 0.273452i 0.868471 0.495740i \(-0.165103\pi\)
−0.639017 + 0.769192i \(0.720659\pi\)
\(62\) −1.31197 3.60460i −0.166620 0.457785i
\(63\) 5.20229 + 3.00354i 0.655427 + 0.378411i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −8.56412 + 6.71400i −1.06225 + 0.832770i
\(66\) 5.59130 + 3.22814i 0.688242 + 0.397357i
\(67\) 8.75050 1.54295i 1.06904 0.188501i 0.388677 0.921374i \(-0.372932\pi\)
0.680366 + 0.732873i \(0.261821\pi\)
\(68\) 1.23913 0.150266
\(69\) 12.2207 2.15483i 1.47120 0.259411i
\(70\) 2.05120 1.09503i 0.245166 0.130881i
\(71\) 6.94924 + 2.52932i 0.824723 + 0.300175i 0.719691 0.694294i \(-0.244283\pi\)
0.105032 + 0.994469i \(0.466506\pi\)
\(72\) −5.42845 + 1.97579i −0.639749 + 0.232850i
\(73\) 7.86051i 0.920003i −0.887918 0.460002i \(-0.847849\pi\)
0.887918 0.460002i \(-0.152151\pi\)
\(74\) −3.75111 + 4.78845i −0.436057 + 0.556645i
\(75\) 5.97986 13.5522i 0.690495 1.56487i
\(76\) −1.59512 4.38255i −0.182973 0.502713i
\(77\) 0.775066 2.12948i 0.0883270 0.242676i
\(78\) −9.26761 11.0447i −1.04935 1.25057i
\(79\) −15.6757 + 2.76405i −1.76365 + 0.310980i −0.959135 0.282948i \(-0.908688\pi\)
−0.804518 + 0.593928i \(0.797576\pi\)
\(80\) −0.461264 + 2.18798i −0.0515709 + 0.244623i
\(81\) 1.22272 + 6.93437i 0.135857 + 0.770485i
\(82\) −3.36066 + 5.82084i −0.371123 + 0.642804i
\(83\) −2.02137 + 2.40898i −0.221874 + 0.264420i −0.865487 0.500932i \(-0.832991\pi\)
0.643612 + 0.765352i \(0.277435\pi\)
\(84\) 1.54033 + 2.66792i 0.168063 + 0.291094i
\(85\) −2.06217 1.85058i −0.223674 0.200724i
\(86\) −2.58008 + 0.939073i −0.278217 + 0.101263i
\(87\) 16.1106 13.5184i 1.72724 1.44932i
\(88\) 1.08964 + 1.88731i 0.116156 + 0.201188i
\(89\) −12.0974 2.13309i −1.28232 0.226107i −0.509354 0.860557i \(-0.670116\pi\)
−0.772964 + 0.634450i \(0.781227\pi\)
\(90\) 11.9848 + 4.81901i 1.26331 + 0.507968i
\(91\) −3.25291 + 3.87667i −0.340998 + 0.406385i
\(92\) 3.93605 + 1.43260i 0.410361 + 0.149359i
\(93\) −10.6789 3.88680i −1.10735 0.403042i
\(94\) 8.09802 9.65085i 0.835247 0.995409i
\(95\) −3.89053 + 9.67573i −0.399160 + 0.992709i
\(96\) −2.91756 0.514445i −0.297773 0.0525054i
\(97\) 5.15005 + 8.92014i 0.522908 + 0.905703i 0.999645 + 0.0266572i \(0.00848626\pi\)
−0.476737 + 0.879046i \(0.658180\pi\)
\(98\) −4.53398 + 3.80446i −0.458002 + 0.384309i
\(99\) 11.8301 4.30581i 1.18897 0.432751i
\(100\) 4.03528 2.95237i 0.403528 0.295237i
\(101\) 9.17761 + 15.8961i 0.913206 + 1.58172i 0.809507 + 0.587110i \(0.199735\pi\)
0.103699 + 0.994609i \(0.466932\pi\)
\(102\) 2.35968 2.81216i 0.233643 0.278445i
\(103\) −3.84868 + 6.66610i −0.379221 + 0.656830i −0.990949 0.134238i \(-0.957141\pi\)
0.611728 + 0.791068i \(0.290475\pi\)
\(104\) −0.845087 4.79272i −0.0828676 0.469965i
\(105\) 1.42099 6.74039i 0.138675 0.657795i
\(106\) 9.66804 1.70474i 0.939043 0.165579i
\(107\) 3.98847 + 4.75327i 0.385580 + 0.459516i 0.923567 0.383437i \(-0.125260\pi\)
−0.537987 + 0.842953i \(0.680815\pi\)
\(108\) −2.81366 + 7.73046i −0.270744 + 0.743864i
\(109\) 3.63900 + 9.99807i 0.348553 + 0.957641i 0.982826 + 0.184532i \(0.0590771\pi\)
−0.634274 + 0.773109i \(0.718701\pi\)
\(110\) 1.00522 4.76821i 0.0958444 0.454631i
\(111\) 3.72395 + 17.6317i 0.353461 + 1.67352i
\(112\) 1.03986i 0.0982573i
\(113\) −8.02406 + 2.92052i −0.754840 + 0.274739i −0.690641 0.723198i \(-0.742672\pi\)
−0.0641993 + 0.997937i \(0.520449\pi\)
\(114\) −12.9836 4.72566i −1.21603 0.442598i
\(115\) −4.41088 8.26246i −0.411317 0.770478i
\(116\) 6.99101 1.23270i 0.649099 0.114454i
\(117\) −28.1139 −2.59913
\(118\) −5.46090 + 0.962903i −0.502716 + 0.0886424i
\(119\) −1.11589 0.644259i −0.102293 0.0590591i
\(120\) 4.08714 + 5.21339i 0.373103 + 0.475916i
\(121\) 3.12537 + 5.41329i 0.284124 + 0.492117i
\(122\) 2.41447 + 1.39400i 0.218596 + 0.126207i
\(123\) 6.81045 + 18.7115i 0.614077 + 1.68716i
\(124\) −2.46569 2.93850i −0.221426 0.263885i
\(125\) −11.1248 1.11314i −0.995031 0.0995620i
\(126\) 5.91583 + 1.04312i 0.527024 + 0.0929285i
\(127\) −7.84470 1.38323i −0.696105 0.122742i −0.185611 0.982623i \(-0.559426\pi\)
−0.510494 + 0.859881i \(0.670537\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) −2.78207 + 7.64368i −0.244948 + 0.672988i
\(130\) −5.75131 + 9.23820i −0.504423 + 0.810244i
\(131\) −0.957846 + 1.14152i −0.0836874 + 0.0997347i −0.806263 0.591557i \(-0.798514\pi\)
0.722576 + 0.691292i \(0.242958\pi\)
\(132\) 6.35820 + 1.12112i 0.553410 + 0.0975811i
\(133\) −0.842143 + 4.77603i −0.0730230 + 0.414134i
\(134\) 7.69506 4.44274i 0.664752 0.383795i
\(135\) 16.2276 8.66304i 1.39665 0.745596i
\(136\) 1.16440 0.423807i 0.0998465 0.0363411i
\(137\) −7.50310 4.33192i −0.641033 0.370101i 0.143979 0.989581i \(-0.454010\pi\)
−0.785012 + 0.619480i \(0.787343\pi\)
\(138\) 10.7467 6.20460i 0.914818 0.528170i
\(139\) −8.67914 7.28266i −0.736155 0.617707i 0.195647 0.980674i \(-0.437319\pi\)
−0.931802 + 0.362967i \(0.881764\pi\)
\(140\) 1.55298 1.73054i 0.131251 0.146257i
\(141\) −6.48113 36.7563i −0.545810 3.09544i
\(142\) 7.39523 0.620594
\(143\) 1.84168 + 10.4447i 0.154009 + 0.873429i
\(144\) −4.42531 + 3.71328i −0.368776 + 0.309440i
\(145\) −13.4755 8.38927i −1.11908 0.696691i
\(146\) −2.68845 7.38647i −0.222498 0.611308i
\(147\) 17.5346i 1.44623i
\(148\) −1.88714 + 5.78262i −0.155122 + 0.475328i
\(149\) −6.54925 −0.536536 −0.268268 0.963344i \(-0.586451\pi\)
−0.268268 + 0.963344i \(0.586451\pi\)
\(150\) 0.984105 14.7801i 0.0803518 1.20679i
\(151\) 8.10149 + 2.94870i 0.659290 + 0.239962i 0.649930 0.759994i \(-0.274798\pi\)
0.00936007 + 0.999956i \(0.497021\pi\)
\(152\) −2.99784 3.57269i −0.243157 0.289784i
\(153\) −1.24302 7.04950i −0.100492 0.569918i
\(154\) 2.26614i 0.182611i
\(155\) −0.285081 + 8.57268i −0.0228983 + 0.688574i
\(156\) −12.4862 7.20892i −0.999697 0.577175i
\(157\) 13.4128 15.9848i 1.07046 1.27572i 0.111018 0.993818i \(-0.464589\pi\)
0.959442 0.281906i \(-0.0909667\pi\)
\(158\) −13.7850 + 7.95876i −1.09667 + 0.633165i
\(159\) 14.5421 25.1876i 1.15326 1.99751i
\(160\) 0.314885 + 2.21379i 0.0248939 + 0.175015i
\(161\) −2.79973 3.33659i −0.220649 0.262960i
\(162\) 3.52067 + 6.09798i 0.276610 + 0.479103i
\(163\) 1.12186 6.36237i 0.0878706 0.498339i −0.908830 0.417168i \(-0.863023\pi\)
0.996700 0.0811713i \(-0.0258661\pi\)
\(164\) −1.16715 + 6.61921i −0.0911388 + 0.516874i
\(165\) −8.90703 11.3615i −0.693411 0.884488i
\(166\) −1.07555 + 2.95505i −0.0834789 + 0.229356i
\(167\) 13.5908 + 4.94663i 1.05168 + 0.382782i 0.809298 0.587398i \(-0.199848\pi\)
0.242386 + 0.970180i \(0.422070\pi\)
\(168\) 2.35992 + 1.98021i 0.182072 + 0.152776i
\(169\) 1.85532 10.5221i 0.142717 0.809389i
\(170\) −2.57074 1.03367i −0.197167 0.0792792i
\(171\) −23.3326 + 13.4711i −1.78429 + 1.03016i
\(172\) −2.10330 + 1.76488i −0.160375 + 0.134571i
\(173\) 4.76783 + 13.0995i 0.362491 + 0.995936i 0.978146 + 0.207920i \(0.0666694\pi\)
−0.615655 + 0.788016i \(0.711108\pi\)
\(174\) 10.5154 18.2133i 0.797173 1.38074i
\(175\) −5.16897 + 0.560681i −0.390737 + 0.0423835i
\(176\) 1.66943 + 1.40082i 0.125838 + 0.105590i
\(177\) −8.21394 + 14.2270i −0.617397 + 1.06936i
\(178\) −12.0974 + 2.13309i −0.906736 + 0.159882i
\(179\) 4.19437i 0.313502i −0.987638 0.156751i \(-0.949898\pi\)
0.987638 0.156751i \(-0.0501020\pi\)
\(180\) 12.9103 + 0.429326i 0.962274 + 0.0320001i
\(181\) −18.2159 + 15.2850i −1.35398 + 1.13612i −0.376188 + 0.926543i \(0.622765\pi\)
−0.977791 + 0.209580i \(0.932790\pi\)
\(182\) −1.73084 + 4.75544i −0.128298 + 0.352497i
\(183\) 7.76152 2.82496i 0.573748 0.208827i
\(184\) 4.18865 0.308792
\(185\) 11.7767 6.80514i 0.865839 0.500324i
\(186\) −11.3642 −0.833267
\(187\) −2.53756 + 0.923595i −0.185564 + 0.0675399i
\(188\) 4.30887 11.8385i 0.314256 0.863412i
\(189\) 6.55311 5.49871i 0.476669 0.399972i
\(190\) −0.346608 + 10.4229i −0.0251456 + 0.756153i
\(191\) 23.4781i 1.69882i −0.527736 0.849409i \(-0.676959\pi\)
0.527736 0.849409i \(-0.323041\pi\)
\(192\) −2.91756 + 0.514445i −0.210557 + 0.0371269i
\(193\) −5.64549 + 9.77828i −0.406371 + 0.703856i −0.994480 0.104926i \(-0.966539\pi\)
0.588109 + 0.808782i \(0.299873\pi\)
\(194\) 7.89033 + 6.62077i 0.566493 + 0.475344i
\(195\) 10.0135 + 30.6447i 0.717081 + 2.19452i
\(196\) −2.95935 + 5.12574i −0.211382 + 0.366124i
\(197\) −7.67079 21.0753i −0.546521 1.50155i −0.838376 0.545092i \(-0.816495\pi\)
0.291855 0.956463i \(-0.405727\pi\)
\(198\) 9.64401 8.09228i 0.685370 0.575093i
\(199\) 3.27114 1.88859i 0.231885 0.133879i −0.379556 0.925169i \(-0.623923\pi\)
0.611441 + 0.791290i \(0.290590\pi\)
\(200\) 2.78215 4.15447i 0.196728 0.293765i
\(201\) 4.57110 25.9240i 0.322420 1.82854i
\(202\) 14.0609 + 11.7985i 0.989322 + 0.830140i
\(203\) −6.93662 2.52472i −0.486855 0.177201i
\(204\) 1.25556 3.44962i 0.0879067 0.241522i
\(205\) 11.8279 9.27268i 0.826094 0.647632i
\(206\) −1.33663 + 7.58041i −0.0931275 + 0.528152i
\(207\) 4.20179 23.8296i 0.292045 1.65627i
\(208\) −2.43333 4.21465i −0.168721 0.292233i
\(209\) 6.53315 + 7.78590i 0.451907 + 0.538562i
\(210\) −0.970052 6.81991i −0.0669399 0.470618i
\(211\) 4.20745 7.28751i 0.289653 0.501693i −0.684074 0.729412i \(-0.739794\pi\)
0.973727 + 0.227719i \(0.0731269\pi\)
\(212\) 8.50193 4.90859i 0.583915 0.337123i
\(213\) 14.0828 16.7832i 0.964936 1.14997i
\(214\) 5.37365 + 3.10248i 0.367335 + 0.212081i
\(215\) 6.13610 + 0.204054i 0.418479 + 0.0139164i
\(216\) 8.22658i 0.559748i
\(217\) 0.692653 + 3.92823i 0.0470203 + 0.266666i
\(218\) 6.83908 + 8.15050i 0.463201 + 0.552021i
\(219\) −21.8829 7.96474i −1.47871 0.538207i
\(220\) −0.686223 4.82446i −0.0462652 0.325265i
\(221\) 6.03042 0.405650
\(222\) 9.52975 + 15.2947i 0.639595 + 1.02651i
\(223\) 23.1615i 1.55101i −0.631342 0.775504i \(-0.717496\pi\)
0.631342 0.775504i \(-0.282504\pi\)
\(224\) 0.355652 + 0.977146i 0.0237630 + 0.0652883i
\(225\) −20.8442 19.9954i −1.38961 1.33303i
\(226\) −6.54128 + 5.48878i −0.435119 + 0.365108i
\(227\) 0.942780 + 5.34677i 0.0625745 + 0.354878i 0.999978 + 0.00663250i \(0.00211121\pi\)
−0.937404 + 0.348245i \(0.886778\pi\)
\(228\) −13.8169 −0.915046
\(229\) 3.76717 + 21.3647i 0.248942 + 1.41182i 0.811158 + 0.584827i \(0.198838\pi\)
−0.562216 + 0.826990i \(0.690051\pi\)
\(230\) −6.97080 6.25556i −0.459641 0.412479i
\(231\) −5.14293 4.31543i −0.338380 0.283934i
\(232\) 6.14779 3.54943i 0.403622 0.233031i
\(233\) −9.50761 5.48922i −0.622864 0.359611i 0.155119 0.987896i \(-0.450424\pi\)
−0.777983 + 0.628285i \(0.783757\pi\)
\(234\) −26.4184 + 9.61552i −1.72703 + 0.628586i
\(235\) −24.8511 + 13.2667i −1.62111 + 0.865423i
\(236\) −4.80223 + 2.77257i −0.312599 + 0.180479i
\(237\) −8.18869 + 46.4404i −0.531913 + 3.01663i
\(238\) −1.26894 0.223749i −0.0822533 0.0145035i
\(239\) −14.9013 + 17.7587i −0.963885 + 1.14871i 0.0249490 + 0.999689i \(0.492058\pi\)
−0.988834 + 0.149024i \(0.952387\pi\)
\(240\) 5.62374 + 3.50110i 0.363011 + 0.225995i
\(241\) 4.51890 12.4156i 0.291088 0.799757i −0.704820 0.709386i \(-0.748972\pi\)
0.995908 0.0903713i \(-0.0288054\pi\)
\(242\) 4.78834 + 4.01789i 0.307806 + 0.258280i
\(243\) −3.76124 0.663208i −0.241284 0.0425448i
\(244\) 2.74564 + 0.484130i 0.175771 + 0.0309933i
\(245\) 12.5800 4.11066i 0.803709 0.262620i
\(246\) 12.7995 + 15.2538i 0.816063 + 0.972546i
\(247\) −7.76290 21.3284i −0.493942 1.35709i
\(248\) −3.32202 1.91797i −0.210948 0.121791i
\(249\) 4.65820 + 8.06824i 0.295201 + 0.511304i
\(250\) −10.8346 + 2.75890i −0.685240 + 0.174488i
\(251\) 9.92843 + 5.73218i 0.626677 + 0.361812i 0.779464 0.626447i \(-0.215491\pi\)
−0.152787 + 0.988259i \(0.548825\pi\)
\(252\) 5.91583 1.04312i 0.372662 0.0657104i
\(253\) −9.12826 −0.573888
\(254\) −7.84470 + 1.38323i −0.492220 + 0.0867917i
\(255\) −7.24136 + 3.86577i −0.453472 + 0.242084i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −10.9493 + 3.98521i −0.682998 + 0.248591i −0.660134 0.751148i \(-0.729501\pi\)
−0.0228635 + 0.999739i \(0.507278\pi\)
\(258\) 8.13423i 0.506415i
\(259\) 4.70600 4.22632i 0.292417 0.262611i
\(260\) −2.24482 + 10.6481i −0.139218 + 0.660369i
\(261\) −14.0259 38.5358i −0.868180 2.38531i
\(262\) −0.509659 + 1.40028i −0.0314868 + 0.0865094i
\(263\) −0.165448 0.197173i −0.0102019 0.0121582i 0.760919 0.648846i \(-0.224748\pi\)
−0.771121 + 0.636688i \(0.780304\pi\)
\(264\) 6.35820 1.12112i 0.391320 0.0690003i
\(265\) −21.4798 4.52831i −1.31949 0.278172i
\(266\) 0.842143 + 4.77603i 0.0516351 + 0.292837i
\(267\) −18.1961 + 31.5166i −1.11358 + 1.92878i
\(268\) 5.71148 6.80668i 0.348884 0.415784i
\(269\) 9.34933 + 16.1935i 0.570039 + 0.987336i 0.996561 + 0.0828590i \(0.0264051\pi\)
−0.426523 + 0.904477i \(0.640262\pi\)
\(270\) 12.2860 13.6908i 0.747704 0.833193i
\(271\) 20.6928 7.53158i 1.25700 0.457511i 0.374239 0.927332i \(-0.377904\pi\)
0.882761 + 0.469822i \(0.155682\pi\)
\(272\) 0.949228 0.796496i 0.0575554 0.0482947i
\(273\) 7.49625 + 12.9839i 0.453694 + 0.785820i
\(274\) −8.53221 1.50446i −0.515450 0.0908877i
\(275\) −6.06309 + 9.05376i −0.365618 + 0.545962i
\(276\) 7.97647 9.50599i 0.480127 0.572193i
\(277\) −0.636745 0.231756i −0.0382583 0.0139249i 0.322820 0.946460i \(-0.395369\pi\)
−0.361078 + 0.932535i \(0.617591\pi\)
\(278\) −10.6465 3.87502i −0.638537 0.232408i
\(279\) −14.2439 + 16.9752i −0.852760 + 1.01628i
\(280\) 0.867443 2.15733i 0.0518397 0.128925i
\(281\) −23.9729 4.22707i −1.43010 0.252166i −0.595650 0.803244i \(-0.703106\pi\)
−0.834454 + 0.551078i \(0.814217\pi\)
\(282\) −18.6617 32.3230i −1.11129 1.92480i
\(283\) 9.98739 8.38041i 0.593688 0.498164i −0.295721 0.955274i \(-0.595560\pi\)
0.889410 + 0.457110i \(0.151116\pi\)
\(284\) 6.94924 2.52932i 0.412362 0.150087i
\(285\) 22.9942 + 20.6349i 1.36206 + 1.22231i
\(286\) 5.30291 + 9.18491i 0.313568 + 0.543115i
\(287\) 4.49258 5.35405i 0.265189 0.316040i
\(288\) −2.88842 + 5.00289i −0.170202 + 0.294798i
\(289\) −2.68539 15.2296i −0.157964 0.895860i
\(290\) −15.5321 3.27445i −0.912077 0.192282i
\(291\) 30.0512 5.29884i 1.76163 0.310623i
\(292\) −5.05264 6.02150i −0.295683 0.352382i
\(293\) −5.56418 + 15.2874i −0.325063 + 0.893102i 0.664278 + 0.747485i \(0.268739\pi\)
−0.989341 + 0.145617i \(0.953483\pi\)
\(294\) 5.99718 + 16.4771i 0.349762 + 0.960964i
\(295\) 12.1326 + 2.55777i 0.706389 + 0.148919i
\(296\) 0.204440 + 6.07933i 0.0118828 + 0.353354i
\(297\) 17.9280i 1.04029i
\(298\) −6.15429 + 2.23998i −0.356508 + 0.129758i
\(299\) 19.1554 + 6.97200i 1.10779 + 0.403201i
\(300\) −4.13035 14.2254i −0.238466 0.821302i
\(301\) 2.81172 0.495783i 0.162065 0.0285765i
\(302\) 8.62142 0.496107
\(303\) 53.5525 9.44275i 3.07651 0.542472i
\(304\) −4.03898 2.33191i −0.231652 0.133744i
\(305\) −3.84629 4.90618i −0.220238 0.280927i
\(306\) −3.57912 6.19922i −0.204605 0.354386i
\(307\) −5.90124 3.40708i −0.336801 0.194452i 0.322055 0.946721i \(-0.395626\pi\)
−0.658857 + 0.752268i \(0.728960\pi\)
\(308\) −0.775066 2.12948i −0.0441635 0.121338i
\(309\) 14.6581 + 17.4688i 0.833870 + 0.993768i
\(310\) 2.66414 + 8.15318i 0.151313 + 0.463070i
\(311\) 10.5243 + 1.85571i 0.596776 + 0.105228i 0.463874 0.885901i \(-0.346459\pi\)
0.132903 + 0.991129i \(0.457570\pi\)
\(312\) −14.1988 2.50363i −0.803849 0.141740i
\(313\) −8.27157 6.94067i −0.467537 0.392310i 0.378358 0.925659i \(-0.376489\pi\)
−0.845895 + 0.533349i \(0.820933\pi\)
\(314\) 7.13682 19.6082i 0.402754 1.10656i
\(315\) −11.4030 7.09905i −0.642488 0.399986i
\(316\) −10.2316 + 12.1935i −0.575572 + 0.685939i
\(317\) −19.3568 3.41313i −1.08719 0.191700i −0.398796 0.917040i \(-0.630572\pi\)
−0.688391 + 0.725339i \(0.741683\pi\)
\(318\) 5.05040 28.6423i 0.283213 1.60618i
\(319\) −13.3978 + 7.73520i −0.750131 + 0.433088i
\(320\) 1.05305 + 1.97258i 0.0588675 + 0.110271i
\(321\) 17.2740 6.28723i 0.964142 0.350919i
\(322\) −3.77206 2.17780i −0.210209 0.121364i
\(323\) 5.00482 2.88953i 0.278476 0.160778i
\(324\) 5.39398 + 4.52609i 0.299666 + 0.251449i
\(325\) 19.6383 14.3682i 1.08934 0.797004i
\(326\) −1.12186 6.36237i −0.0621339 0.352379i
\(327\) 31.5210 1.74311
\(328\) 1.16715 + 6.61921i 0.0644448 + 0.365485i
\(329\) −10.0355 + 8.42079i −0.553275 + 0.464253i
\(330\) −12.2557 7.62989i −0.674655 0.420012i
\(331\) 1.90329 + 5.22924i 0.104614 + 0.287425i 0.980945 0.194284i \(-0.0622384\pi\)
−0.876331 + 0.481709i \(0.840016\pi\)
\(332\) 3.14470i 0.172588i
\(333\) 34.7908 + 4.93533i 1.90653 + 0.270454i
\(334\) 14.4630 0.791379
\(335\) −19.6706 + 2.79791i −1.07472 + 0.152866i
\(336\) 2.89487 + 1.05365i 0.157928 + 0.0574811i
\(337\) 16.1526 + 19.2500i 0.879891 + 1.04861i 0.998449 + 0.0556659i \(0.0177282\pi\)
−0.118559 + 0.992947i \(0.537827\pi\)
\(338\) −1.85532 10.5221i −0.100916 0.572325i
\(339\) 25.2975i 1.37397i
\(340\) −2.76924 0.0920903i −0.150183 0.00499430i
\(341\) 7.23961 + 4.17979i 0.392047 + 0.226348i
\(342\) −17.3181 + 20.6389i −0.936453 + 1.11602i
\(343\) 11.6338 6.71680i 0.628168 0.362673i
\(344\) −1.37283 + 2.37782i −0.0740182 + 0.128203i
\(345\) −27.4713 + 3.90747i −1.47900 + 0.210371i
\(346\) 8.96058 + 10.6788i 0.481724 + 0.574096i
\(347\) 9.20588 + 15.9450i 0.494197 + 0.855975i 0.999978 0.00668732i \(-0.00212866\pi\)
−0.505780 + 0.862662i \(0.668795\pi\)
\(348\) 3.65197 20.7114i 0.195766 1.11025i
\(349\) 0.779178 4.41894i 0.0417085 0.236540i −0.956826 0.290662i \(-0.906125\pi\)
0.998534 + 0.0541212i \(0.0172357\pi\)
\(350\) −4.66548 + 2.29476i −0.249380 + 0.122660i
\(351\) −13.6931 + 37.6215i −0.730884 + 2.00809i
\(352\) 2.04785 + 0.745358i 0.109151 + 0.0397277i
\(353\) −13.8187 11.5953i −0.735495 0.617153i 0.196129 0.980578i \(-0.437163\pi\)
−0.931624 + 0.363425i \(0.881607\pi\)
\(354\) −2.85267 + 16.1783i −0.151618 + 0.859867i
\(355\) −15.3424 6.16906i −0.814291 0.327420i
\(356\) −10.6382 + 6.14199i −0.563826 + 0.325525i
\(357\) −2.92424 + 2.45373i −0.154767 + 0.129865i
\(358\) −1.43456 3.94142i −0.0758187 0.208310i
\(359\) 5.17902 8.97032i 0.273338 0.473435i −0.696376 0.717677i \(-0.745206\pi\)
0.969714 + 0.244241i \(0.0785389\pi\)
\(360\) 12.2785 4.01214i 0.647135 0.211458i
\(361\) −2.10753 1.76843i −0.110923 0.0930753i
\(362\) −11.8896 + 20.5934i −0.624904 + 1.08237i
\(363\) 18.2369 3.21566i 0.957190 0.168778i
\(364\) 5.06063i 0.265249i
\(365\) −0.584182 + 17.5669i −0.0305775 + 0.919495i
\(366\) 6.32725 5.30919i 0.330731 0.277516i
\(367\) 8.07354 22.1819i 0.421435 1.15788i −0.529450 0.848341i \(-0.677602\pi\)
0.950885 0.309543i \(-0.100176\pi\)
\(368\) 3.93605 1.43260i 0.205181 0.0746796i
\(369\) 38.8280 2.02131
\(370\) 8.73896 10.4226i 0.454317 0.541845i
\(371\) −10.2085 −0.529997
\(372\) −10.6789 + 3.88680i −0.553675 + 0.201521i
\(373\) 1.85733 5.10298i 0.0961690 0.264222i −0.882275 0.470734i \(-0.843989\pi\)
0.978444 + 0.206512i \(0.0662113\pi\)
\(374\) −2.06863 + 1.73579i −0.106967 + 0.0897556i
\(375\) −14.3712 + 29.8425i −0.742124 + 1.54106i
\(376\) 12.5983i 0.649707i
\(377\) 34.0229 5.99915i 1.75227 0.308972i
\(378\) 4.27724 7.40839i 0.219997 0.381047i
\(379\) −10.1044 8.47863i −0.519030 0.435518i 0.345263 0.938506i \(-0.387790\pi\)
−0.864294 + 0.502988i \(0.832234\pi\)
\(380\) 3.23912 + 9.91282i 0.166163 + 0.508517i
\(381\) −11.7995 + 20.4374i −0.604507 + 1.04704i
\(382\) −8.02999 22.0622i −0.410850 1.12880i
\(383\) −19.4060 + 16.2835i −0.991599 + 0.832050i −0.985798 0.167933i \(-0.946291\pi\)
−0.00580066 + 0.999983i \(0.501846\pi\)
\(384\) −2.56566 + 1.48129i −0.130928 + 0.0755916i
\(385\) −1.89040 + 4.70142i −0.0963439 + 0.239607i
\(386\) −1.96066 + 11.1194i −0.0997949 + 0.565965i
\(387\) 12.1504 + 10.1954i 0.617641 + 0.518262i
\(388\) 9.67892 + 3.52284i 0.491373 + 0.178845i
\(389\) −10.9359 + 30.0462i −0.554473 + 1.52340i 0.273067 + 0.961995i \(0.411962\pi\)
−0.827540 + 0.561407i \(0.810260\pi\)
\(390\) 19.8907 + 25.3718i 1.00721 + 1.28475i
\(391\) −0.901283 + 5.11143i −0.0455798 + 0.258496i
\(392\) −1.02777 + 5.82878i −0.0519103 + 0.294398i
\(393\) 2.20733 + 3.82321i 0.111345 + 0.192855i
\(394\) −14.4164 17.1808i −0.726286 0.865554i
\(395\) 35.2380 5.01219i 1.77301 0.252191i
\(396\) 6.29468 10.9027i 0.316319 0.547881i
\(397\) 19.3984 11.1997i 0.973580 0.562097i 0.0732541 0.997313i \(-0.476662\pi\)
0.900326 + 0.435217i \(0.143328\pi\)
\(398\) 2.42793 2.89349i 0.121701 0.145038i
\(399\) 12.4427 + 7.18380i 0.622915 + 0.359640i
\(400\) 1.19346 4.85548i 0.0596728 0.242774i
\(401\) 13.1395i 0.656155i 0.944651 + 0.328077i \(0.106401\pi\)
−0.944651 + 0.328077i \(0.893599\pi\)
\(402\) −4.57110 25.9240i −0.227986 1.29297i
\(403\) −11.9997 14.3007i −0.597747 0.712367i
\(404\) 17.2483 + 6.27785i 0.858133 + 0.312335i
\(405\) −2.21721 15.5880i −0.110174 0.774575i
\(406\) −7.38180 −0.366352
\(407\) −0.445532 13.2486i −0.0220842 0.656707i
\(408\) 3.67101i 0.181742i
\(409\) 4.63814 + 12.7432i 0.229341 + 0.630110i 0.999974 0.00716921i \(-0.00228205\pi\)
−0.770633 + 0.637279i \(0.780060\pi\)
\(410\) 7.94311 12.7588i 0.392282 0.630114i
\(411\) −19.6622 + 16.4986i −0.969867 + 0.813815i
\(412\) 1.33663 + 7.58041i 0.0658511 + 0.373460i
\(413\) 5.76615 0.283734
\(414\) −4.20179 23.8296i −0.206507 1.17116i
\(415\) 4.69646 5.23344i 0.230540 0.256899i
\(416\) −3.72808 3.12823i −0.182784 0.153374i
\(417\) −29.0685 + 16.7827i −1.42349 + 0.821852i
\(418\) 8.80208 + 5.08189i 0.430524 + 0.248563i
\(419\) 16.8943 6.14901i 0.825339 0.300399i 0.105394 0.994430i \(-0.466389\pi\)
0.719944 + 0.694032i \(0.244167\pi\)
\(420\) −3.24410 6.07684i −0.158296 0.296519i
\(421\) −7.37400 + 4.25738i −0.359387 + 0.207492i −0.668812 0.743432i \(-0.733197\pi\)
0.309425 + 0.950924i \(0.399863\pi\)
\(422\) 1.46123 8.28705i 0.0711316 0.403407i
\(423\) −71.6726 12.6378i −3.48484 0.614471i
\(424\) 6.31036 7.52040i 0.306458 0.365223i
\(425\) 4.47107 + 4.28900i 0.216879 + 0.208047i
\(426\) 7.49329 20.5876i 0.363051 0.997474i
\(427\) −2.22085 1.86352i −0.107475 0.0901819i
\(428\) 6.11069 + 1.07748i 0.295371 + 0.0520819i
\(429\) 30.9432 + 5.45612i 1.49395 + 0.263424i
\(430\) 5.83584 1.90692i 0.281429 0.0919599i
\(431\) −17.5896 20.9624i −0.847259 1.00972i −0.999771 0.0214225i \(-0.993180\pi\)
0.152511 0.988302i \(-0.451264\pi\)
\(432\) 2.81366 + 7.73046i 0.135372 + 0.371932i
\(433\) 32.2086 + 18.5956i 1.54785 + 0.893649i 0.998306 + 0.0581819i \(0.0185303\pi\)
0.549540 + 0.835467i \(0.314803\pi\)
\(434\) 1.99441 + 3.45443i 0.0957349 + 0.165818i
\(435\) −37.0091 + 29.0140i −1.77445 + 1.39112i
\(436\) 9.21427 + 5.31986i 0.441283 + 0.254775i
\(437\) 19.2383 3.39224i 0.920294 0.162273i
\(438\) −23.2873 −1.11271
\(439\) 26.5940 4.68923i 1.26926 0.223805i 0.501847 0.864957i \(-0.332654\pi\)
0.767414 + 0.641152i \(0.221543\pi\)
\(440\) −2.29490 4.29881i −0.109405 0.204938i
\(441\) 32.1294 + 11.6941i 1.52997 + 0.556863i
\(442\) 5.66674 2.06252i 0.269539 0.0981043i
\(443\) 38.8839i 1.84743i 0.383078 + 0.923716i \(0.374864\pi\)
−0.383078 + 0.923716i \(0.625136\pi\)
\(444\) 14.1861 + 11.1129i 0.673243 + 0.527396i
\(445\) 26.8771 + 5.66616i 1.27409 + 0.268602i
\(446\) −7.92170 21.7647i −0.375103 1.03059i
\(447\) −6.63609 + 18.2325i −0.313877 + 0.862369i
\(448\) 0.668408 + 0.796577i 0.0315793 + 0.0376347i
\(449\) 5.21545 0.919625i 0.246132 0.0433998i −0.0492208 0.998788i \(-0.515674\pi\)
0.295353 + 0.955388i \(0.404563\pi\)
\(450\) −26.4260 11.6604i −1.24573 0.549675i
\(451\) −2.54354 14.4251i −0.119771 0.679253i
\(452\) −4.26952 + 7.39502i −0.200821 + 0.347832i
\(453\) 16.4178 19.5660i 0.771377 0.919291i
\(454\) 2.71463 + 4.70187i 0.127404 + 0.220670i
\(455\) 7.55782 8.42196i 0.354316 0.394827i
\(456\) −12.9836 + 4.72566i −0.608015 + 0.221299i
\(457\) −1.73260 + 1.45383i −0.0810477 + 0.0680071i −0.682411 0.730968i \(-0.739069\pi\)
0.601364 + 0.798975i \(0.294624\pi\)
\(458\) 10.8471 + 18.7878i 0.506853 + 0.877895i
\(459\) −10.0389 1.77013i −0.468577 0.0826228i
\(460\) −8.68994 3.49415i −0.405170 0.162916i
\(461\) −9.26256 + 11.0387i −0.431400 + 0.514123i −0.937326 0.348454i \(-0.886707\pi\)
0.505925 + 0.862577i \(0.331151\pi\)
\(462\) −6.30873 2.29619i −0.293509 0.106828i
\(463\) −24.3007 8.84473i −1.12935 0.411049i −0.291293 0.956634i \(-0.594086\pi\)
−0.838056 + 0.545584i \(0.816308\pi\)
\(464\) 4.56306 5.43804i 0.211835 0.252455i
\(465\) 23.5767 + 9.47999i 1.09334 + 0.439624i
\(466\) −10.8117 1.90639i −0.500840 0.0883117i
\(467\) 5.22034 + 9.04190i 0.241569 + 0.418409i 0.961161 0.275987i \(-0.0890048\pi\)
−0.719593 + 0.694396i \(0.755671\pi\)
\(468\) −21.5365 + 18.0713i −0.995525 + 0.835345i
\(469\) −8.68242 + 3.16014i −0.400917 + 0.145922i
\(470\) −18.8150 + 20.9662i −0.867869 + 0.967098i
\(471\) −30.9095 53.5368i −1.42423 2.46685i
\(472\) −3.56435 + 4.24782i −0.164062 + 0.195522i
\(473\) 2.99179 5.18193i 0.137563 0.238265i
\(474\) 8.18869 + 46.4404i 0.376119 + 2.13308i
\(475\) 9.41377 21.3345i 0.431933 0.978894i
\(476\) −1.26894 + 0.223749i −0.0581618 + 0.0102555i
\(477\) −36.4539 43.4441i −1.66911 1.98917i
\(478\) −7.92881 + 21.7842i −0.362655 + 0.996388i
\(479\) −13.4231 36.8797i −0.613318 1.68508i −0.722772 0.691087i \(-0.757132\pi\)
0.109454 0.993992i \(-0.465090\pi\)
\(480\) 6.48204 + 1.36653i 0.295863 + 0.0623732i
\(481\) −9.18408 + 28.1420i −0.418758 + 1.28317i
\(482\) 13.2124i 0.601807i
\(483\) −12.1256 + 4.41336i −0.551734 + 0.200815i
\(484\) 5.87377 + 2.13788i 0.266989 + 0.0971762i
\(485\) −10.8466 20.3178i −0.492517 0.922583i
\(486\) −3.76124 + 0.663208i −0.170613 + 0.0300837i
\(487\) 8.96191 0.406103 0.203051 0.979168i \(-0.434914\pi\)
0.203051 + 0.979168i \(0.434914\pi\)
\(488\) 2.74564 0.484130i 0.124289 0.0219155i
\(489\) −16.5755 9.56987i −0.749570 0.432765i
\(490\) 10.4154 8.16538i 0.470522 0.368874i
\(491\) −19.8119 34.3153i −0.894100 1.54863i −0.834914 0.550380i \(-0.814483\pi\)
−0.0591861 0.998247i \(-0.518851\pi\)
\(492\) 17.2447 + 9.95621i 0.777449 + 0.448861i
\(493\) 3.00854 + 8.26591i 0.135498 + 0.372278i
\(494\) −14.5895 17.3871i −0.656412 0.782281i
\(495\) −26.7584 + 8.74357i −1.20270 + 0.392994i
\(496\) −3.77766 0.666103i −0.169622 0.0299089i
\(497\) −7.57316 1.33535i −0.339702 0.0598987i
\(498\) 7.13677 + 5.98846i 0.319806 + 0.268349i
\(499\) −1.84436 + 5.06733i −0.0825648 + 0.226845i −0.974105 0.226097i \(-0.927403\pi\)
0.891540 + 0.452942i \(0.149626\pi\)
\(500\) −9.23759 + 6.29816i −0.413118 + 0.281662i
\(501\) 27.5419 32.8232i 1.23048 1.46643i
\(502\) 11.2902 + 1.99077i 0.503906 + 0.0888523i
\(503\) 0.834435 4.73232i 0.0372056 0.211004i −0.960537 0.278151i \(-0.910279\pi\)
0.997743 + 0.0671471i \(0.0213897\pi\)
\(504\) 5.20229 3.00354i 0.231728 0.133788i
\(505\) −19.3290 36.2071i −0.860131 1.61120i
\(506\) −8.57775 + 3.12205i −0.381328 + 0.138792i
\(507\) −27.4125 15.8266i −1.21743 0.702885i
\(508\) −6.89851 + 3.98286i −0.306072 + 0.176711i
\(509\) −11.0720 9.29049i −0.490757 0.411794i 0.363541 0.931578i \(-0.381568\pi\)
−0.854297 + 0.519785i \(0.826012\pi\)
\(510\) −5.48248 + 6.10933i −0.242768 + 0.270526i
\(511\) 1.41937 + 8.04963i 0.0627891 + 0.356095i
\(512\) −1.00000 −0.0441942
\(513\) 6.66241 + 37.7844i 0.294153 + 1.66822i
\(514\) −8.92594 + 7.48975i −0.393706 + 0.330359i
\(515\) 9.09656 14.6116i 0.400842 0.643864i
\(516\) 2.78207 + 7.64368i 0.122474 + 0.336494i
\(517\) 27.4552i 1.20748i
\(518\) 2.97671 5.58099i 0.130789 0.245215i
\(519\) 41.2988 1.81282
\(520\) 1.53244 + 10.7737i 0.0672019 + 0.472460i
\(521\) 0.111350 + 0.0405279i 0.00487831 + 0.00177556i 0.344458 0.938802i \(-0.388063\pi\)
−0.339580 + 0.940577i \(0.610285\pi\)
\(522\) −26.3600 31.4147i −1.15375 1.37498i
\(523\) −6.46190 36.6473i −0.282559 1.60247i −0.713876 0.700272i \(-0.753062\pi\)
0.431317 0.902201i \(-0.358049\pi\)
\(524\) 1.49014i 0.0650972i
\(525\) −3.67662 + 14.9580i −0.160461 + 0.652823i
\(526\) −0.222907 0.128695i −0.00971920 0.00561138i
\(527\) 3.05531 3.64118i 0.133091 0.158612i
\(528\) 5.59130 3.22814i 0.243330 0.140487i
\(529\) 2.72759 4.72433i 0.118591 0.205406i
\(530\) −21.7331 + 3.09128i −0.944027 + 0.134277i
\(531\) 20.5907 + 24.5390i 0.893558 + 1.06490i
\(532\) 2.42485 + 4.19997i 0.105131 + 0.182092i
\(533\) −5.68010 + 32.2135i −0.246033 + 1.39532i
\(534\) −6.31944 + 35.8393i −0.273469 + 1.55092i
\(535\) −8.56030 10.9192i −0.370094 0.472077i
\(536\) 3.03902 8.34963i 0.131265 0.360649i
\(537\) −11.6767 4.24998i −0.503888 0.183400i
\(538\) 14.3240 + 12.0193i 0.617552 + 0.518187i
\(539\) 2.23980 12.7025i 0.0964751 0.547138i
\(540\) 6.86257 17.0672i 0.295318 0.734454i
\(541\) −15.3004 + 8.83367i −0.657814 + 0.379789i −0.791444 0.611242i \(-0.790670\pi\)
0.133630 + 0.991031i \(0.457337\pi\)
\(542\) 16.8690 14.1547i 0.724584 0.607998i
\(543\) 24.0945 + 66.1991i 1.03399 + 2.84088i
\(544\) 0.619564 1.07312i 0.0265636 0.0460095i
\(545\) −7.38951 22.6145i −0.316532 0.968697i
\(546\) 11.4849 + 9.63699i 0.491509 + 0.412425i
\(547\) −1.84100 + 3.18871i −0.0787157 + 0.136340i −0.902696 0.430279i \(-0.858415\pi\)
0.823980 + 0.566618i \(0.191749\pi\)
\(548\) −8.53221 + 1.50446i −0.364478 + 0.0642673i
\(549\) 16.1058i 0.687378i
\(550\) −2.60088 + 10.5815i −0.110902 + 0.451195i
\(551\) 25.3620 21.2813i 1.08046 0.906612i
\(552\) 4.24419 11.6608i 0.180645 0.496318i
\(553\) 15.5537 5.66110i 0.661413 0.240734i
\(554\) −0.677610 −0.0287889
\(555\) −7.01204 39.6806i −0.297644 1.68435i
\(556\) −11.3298 −0.480491
\(557\) 30.4917 11.0981i 1.29198 0.470241i 0.397601 0.917558i \(-0.369843\pi\)
0.894375 + 0.447318i \(0.147621\pi\)
\(558\) −7.57902 + 20.8232i −0.320846 + 0.881516i
\(559\) −10.2361 + 8.58907i −0.432939 + 0.363279i
\(560\) 0.0772807 2.32391i 0.00326571 0.0982030i
\(561\) 8.00016i 0.337767i
\(562\) −23.9729 + 4.22707i −1.01124 + 0.178308i
\(563\) −3.17479 + 5.49889i −0.133801 + 0.231751i −0.925139 0.379629i \(-0.876052\pi\)
0.791338 + 0.611379i \(0.209385\pi\)
\(564\) −28.5913 23.9910i −1.20391 1.01020i
\(565\) 18.1495 5.93054i 0.763555 0.249500i
\(566\) 6.51880 11.2909i 0.274006 0.474592i
\(567\) −2.50427 6.88042i −0.105169 0.288951i
\(568\) 5.66507 4.75356i 0.237701 0.199455i
\(569\) −1.24518 + 0.718906i −0.0522007 + 0.0301381i −0.525873 0.850563i \(-0.676261\pi\)
0.473672 + 0.880701i \(0.342928\pi\)
\(570\) 28.6651 + 11.5260i 1.20065 + 0.482770i
\(571\) −6.75144 + 38.2893i −0.282539 + 1.60236i 0.431407 + 0.902157i \(0.358017\pi\)
−0.713946 + 0.700201i \(0.753094\pi\)
\(572\) 8.12453 + 6.81729i 0.339704 + 0.285045i
\(573\) −65.3609 23.7894i −2.73049 0.993818i
\(574\) 2.39045 6.56772i 0.0997756 0.274131i
\(575\) 9.24353 + 18.7930i 0.385482 + 0.783723i
\(576\) −1.00314 + 5.68907i −0.0417974 + 0.237045i
\(577\) 6.83944 38.7884i 0.284730 1.61478i −0.421520 0.906819i \(-0.638503\pi\)
0.706249 0.707963i \(-0.250386\pi\)
\(578\) −7.73228 13.3927i −0.321620 0.557063i
\(579\) 21.5015 + 25.6245i 0.893571 + 1.06492i
\(580\) −15.7153 + 2.23532i −0.652544 + 0.0928168i
\(581\) 1.63502 2.83194i 0.0678320 0.117488i
\(582\) 26.4266 15.2574i 1.09542 0.632439i
\(583\) −13.7521 + 16.3891i −0.569552 + 0.678766i
\(584\) −6.80740 3.93026i −0.281692 0.162635i
\(585\) 62.8299 + 2.08939i 2.59770 + 0.0863855i
\(586\) 16.2686i 0.672048i
\(587\) −3.12951 17.7483i −0.129169 0.732551i −0.978744 0.205085i \(-0.934253\pi\)
0.849576 0.527467i \(-0.176858\pi\)
\(588\) 11.2710 + 13.4323i 0.464808 + 0.553937i
\(589\) −16.8112 6.11878i −0.692693 0.252120i
\(590\) 12.2757 1.74608i 0.505385 0.0718850i
\(591\) −66.4443 −2.73315
\(592\) 2.27136 + 5.64278i 0.0933524 + 0.231917i
\(593\) 3.27681i 0.134562i −0.997734 0.0672811i \(-0.978568\pi\)
0.997734 0.0672811i \(-0.0214324\pi\)
\(594\) −6.13175 16.8469i −0.251589 0.691235i
\(595\) 2.44594 + 1.52274i 0.100274 + 0.0624263i
\(596\) −5.01702 + 4.20978i −0.205505 + 0.172439i
\(597\) −1.94316 11.0202i −0.0795281 0.451026i
\(598\) 20.3848 0.833595
\(599\) 3.41713 + 19.3795i 0.139620 + 0.791824i 0.971530 + 0.236915i \(0.0761361\pi\)
−0.831910 + 0.554910i \(0.812753\pi\)
\(600\) −8.74662 11.9548i −0.357079 0.488053i
\(601\) 36.6049 + 30.7152i 1.49315 + 1.25290i 0.890579 + 0.454830i \(0.150300\pi\)
0.602567 + 0.798068i \(0.294145\pi\)
\(602\) 2.47259 1.42755i 0.100775 0.0581826i
\(603\) −44.4531 25.6650i −1.81027 1.04516i
\(604\) 8.10149 2.94870i 0.329645 0.119981i
\(605\) −6.58236 12.3301i −0.267611 0.501289i
\(606\) 47.0933 27.1893i 1.91303 1.10449i
\(607\) −0.557052 + 3.15920i −0.0226100 + 0.128228i −0.994024 0.109166i \(-0.965182\pi\)
0.971414 + 0.237394i \(0.0762932\pi\)
\(608\) −4.59296 0.809863i −0.186269 0.0328443i
\(609\) −14.0572 + 16.7527i −0.569626 + 0.678854i
\(610\) −5.29234 3.29479i −0.214281 0.133402i
\(611\) 20.9698 57.6140i 0.848347 2.33081i
\(612\) −5.48353 4.60123i −0.221659 0.185994i
\(613\) 2.09394 + 0.369219i 0.0845736 + 0.0149126i 0.215775 0.976443i \(-0.430772\pi\)
−0.131201 + 0.991356i \(0.541883\pi\)
\(614\) −6.71064 1.18327i −0.270819 0.0477528i
\(615\) −13.8296 42.3233i −0.557663 1.70664i
\(616\) −1.45665 1.73597i −0.0586900 0.0699441i
\(617\) −11.0588 30.3837i −0.445209 1.22320i −0.936023 0.351938i \(-0.885523\pi\)
0.490814 0.871264i \(-0.336699\pi\)
\(618\) 19.7488 + 11.4020i 0.794414 + 0.458655i
\(619\) −1.27227 2.20364i −0.0511370 0.0885718i 0.839324 0.543632i \(-0.182951\pi\)
−0.890461 + 0.455060i \(0.849618\pi\)
\(620\) 5.29202 + 6.75030i 0.212533 + 0.271098i
\(621\) −29.8418 17.2292i −1.19751 0.691382i
\(622\) 10.5243 1.85571i 0.421984 0.0744072i
\(623\) 12.7736 0.511763
\(624\) −14.1988 + 2.50363i −0.568407 + 0.100225i
\(625\) 24.7793 + 3.31445i 0.991173 + 0.132578i
\(626\) −10.1466 3.69305i −0.405539 0.147604i
\(627\) 28.2950 10.2985i 1.12999 0.411284i
\(628\) 20.8667i 0.832670i
\(629\) −7.46261 1.05862i −0.297554 0.0422101i
\(630\) −13.1434 2.77085i −0.523644 0.110393i
\(631\) 7.18407 + 19.7381i 0.285993 + 0.785760i 0.996617 + 0.0821875i \(0.0261906\pi\)
−0.710624 + 0.703572i \(0.751587\pi\)
\(632\) −5.44411 + 14.9576i −0.216555 + 0.594980i
\(633\) −16.0245 19.0973i −0.636918 0.759049i
\(634\) −19.3568 + 3.41313i −0.768757 + 0.135553i
\(635\) 17.4288 + 3.67430i 0.691641 + 0.145810i
\(636\) −5.05040 28.6423i −0.200262 1.13574i
\(637\) −14.4021 + 24.9452i −0.570634 + 0.988366i
\(638\) −9.94418 + 11.8510i −0.393694 + 0.469186i
\(639\) −21.3605 36.9975i −0.845009 1.46360i
\(640\) 1.66421 + 1.49345i 0.0657837 + 0.0590340i
\(641\) 44.8926 16.3396i 1.77315 0.645374i 0.773212 0.634147i \(-0.218649\pi\)
0.999937 0.0112264i \(-0.00357354\pi\)
\(642\) 14.0819 11.8161i 0.555769 0.466345i
\(643\) −3.81531 6.60831i −0.150461 0.260606i 0.780936 0.624611i \(-0.214742\pi\)
−0.931397 + 0.364005i \(0.881409\pi\)
\(644\) −4.28943 0.756342i −0.169027 0.0298041i
\(645\) 6.78553 16.8756i 0.267180 0.664475i
\(646\) 3.71471 4.42702i 0.146153 0.174179i
\(647\) −34.6407 12.6082i −1.36187 0.495679i −0.445235 0.895414i \(-0.646880\pi\)
−0.916631 + 0.399735i \(0.869102\pi\)
\(648\) 6.61670 + 2.40828i 0.259928 + 0.0946062i
\(649\) 7.76771 9.25720i 0.304909 0.363377i
\(650\) 13.5398 20.2184i 0.531074 0.793031i
\(651\) 11.6377 + 2.05203i 0.456116 + 0.0804255i
\(652\) −3.23026 5.59497i −0.126507 0.219116i
\(653\) 1.49310 1.25286i 0.0584295 0.0490282i −0.613105 0.790001i \(-0.710080\pi\)
0.671535 + 0.740973i \(0.265635\pi\)
\(654\) 29.6200 10.7808i 1.15823 0.421563i
\(655\) 2.22546 2.47991i 0.0869559 0.0968981i
\(656\) 3.36066 + 5.82084i 0.131212 + 0.227266i
\(657\) −29.1883 + 34.7852i −1.13874 + 1.35710i
\(658\) −6.55021 + 11.3453i −0.255354 + 0.442286i
\(659\) −1.01443 5.75312i −0.0395166 0.224110i 0.958654 0.284575i \(-0.0918526\pi\)
−0.998170 + 0.0604655i \(0.980741\pi\)
\(660\) −14.1262 2.97805i −0.549861 0.115920i
\(661\) −31.5199 + 5.55781i −1.22598 + 0.216174i −0.748899 0.662684i \(-0.769417\pi\)
−0.477084 + 0.878858i \(0.658306\pi\)
\(662\) 3.57701 + 4.26292i 0.139024 + 0.165683i
\(663\) 6.11038 16.7881i 0.237307 0.651997i
\(664\) 1.07555 + 2.95505i 0.0417394 + 0.114678i
\(665\) 2.23700 10.6110i 0.0867469 0.411478i
\(666\) 34.3807 7.26147i 1.33222 0.281376i
\(667\) 29.7346i 1.15133i
\(668\) 13.5908 4.94663i 0.525842 0.191391i
\(669\) −64.4795 23.4686i −2.49292 0.907349i
\(670\) −17.5273 + 9.35690i −0.677140 + 0.361489i
\(671\) −5.98352 + 1.05506i −0.230991 + 0.0407300i
\(672\) 3.08065 0.118839
\(673\) 15.2333 2.68605i 0.587202 0.103540i 0.127849 0.991794i \(-0.459193\pi\)
0.459352 + 0.888254i \(0.348081\pi\)
\(674\) 21.7624 + 12.5645i 0.838256 + 0.483968i
\(675\) −36.9098 + 18.1544i −1.42066 + 0.698765i
\(676\) −5.34219 9.25295i −0.205469 0.355883i
\(677\) −16.7515 9.67147i −0.643812 0.371705i 0.142270 0.989828i \(-0.454560\pi\)
−0.786081 + 0.618123i \(0.787893\pi\)
\(678\) 8.65225 + 23.7719i 0.332288 + 0.912953i
\(679\) −6.88466 8.20482i −0.264209 0.314872i
\(680\) −2.63374 + 0.860601i −0.100999 + 0.0330025i
\(681\) 15.8402 + 2.79305i 0.606998 + 0.107030i
\(682\) 8.23259 + 1.45163i 0.315242 + 0.0555857i
\(683\) −11.4191 9.58180i −0.436942 0.366638i 0.397622 0.917549i \(-0.369836\pi\)
−0.834563 + 0.550912i \(0.814280\pi\)
\(684\) −9.21475 + 25.3173i −0.352335 + 0.968031i
\(685\) 16.4462 + 10.2387i 0.628378 + 0.391202i
\(686\) 8.63495 10.2907i 0.329684 0.392902i
\(687\) 63.2944 + 11.1605i 2.41483 + 0.425800i
\(688\) −0.476780 + 2.70395i −0.0181771 + 0.103087i
\(689\) 41.3760 23.8884i 1.57630 0.910077i
\(690\) −24.4781 + 13.0676i −0.931867 + 0.497473i
\(691\) −33.6488 + 12.2472i −1.28006 + 0.465904i −0.890452 0.455077i \(-0.849612\pi\)
−0.389608 + 0.920981i \(0.627390\pi\)
\(692\) 12.0726 + 6.97009i 0.458930 + 0.264963i
\(693\) −11.3373 + 6.54557i −0.430667 + 0.248646i
\(694\) 14.1042 + 11.8348i 0.535389 + 0.449245i
\(695\) 18.8552 + 16.9205i 0.715218 + 0.641833i
\(696\) −3.65197 20.7114i −0.138428 0.785062i
\(697\) −8.32859 −0.315468
\(698\) −0.779178 4.41894i −0.0294923 0.167259i
\(699\) −24.9152 + 20.9063i −0.942378 + 0.790749i
\(700\) −3.59926 + 3.75206i −0.136039 + 0.141814i
\(701\) 2.29765 + 6.31275i 0.0867812 + 0.238429i 0.975490 0.220042i \(-0.0706194\pi\)
−0.888709 + 0.458471i \(0.848397\pi\)
\(702\) 40.0360i 1.51106i
\(703\) 5.86241 + 27.7566i 0.221105 + 1.04686i
\(704\) 2.17928 0.0821348
\(705\) 11.7526 + 82.6259i 0.442627 + 3.11187i
\(706\) −16.9511 6.16971i −0.637964 0.232200i
\(707\) −12.2688 14.6213i −0.461414 0.549892i
\(708\) 2.85267 + 16.1783i 0.107210 + 0.608018i
\(709\) 11.1645i 0.419293i 0.977777 + 0.209646i \(0.0672313\pi\)
−0.977777 + 0.209646i \(0.932769\pi\)
\(710\) −16.5271 0.549603i −0.620251 0.0206262i
\(711\) 79.6336 + 45.9765i 2.98649 + 1.72425i
\(712\) −7.89599 + 9.41008i −0.295915 + 0.352658i
\(713\) 13.9148 8.03370i 0.521113 0.300865i
\(714\) −1.90866 + 3.30590i −0.0714299 + 0.123720i
\(715\) −3.33962 23.4790i −0.124895 0.878066i
\(716\) −2.69609 3.21307i −0.100758 0.120078i
\(717\) 34.3396 + 59.4780i 1.28244 + 2.22125i
\(718\) 1.79865 10.2007i 0.0671252 0.380686i
\(719\) −2.85513 + 16.1922i −0.106478 + 0.603868i 0.884141 + 0.467220i \(0.154744\pi\)
−0.990620 + 0.136649i \(0.956367\pi\)
\(720\) 10.1658 7.96968i 0.378857 0.297012i
\(721\) 2.73758 7.52144i 0.101953 0.280113i
\(722\) −2.58527 0.940963i −0.0962139 0.0350190i
\(723\) −29.9850 25.1604i −1.11515 0.935725i
\(724\) −4.12922 + 23.4180i −0.153461 + 0.870321i
\(725\) 29.4920 + 19.7501i 1.09530 + 0.733500i
\(726\) 16.0373 9.25912i 0.595199 0.343638i
\(727\) −5.81383 + 4.87838i −0.215623 + 0.180929i −0.744201 0.667955i \(-0.767170\pi\)
0.528578 + 0.848885i \(0.322725\pi\)
\(728\) 1.73084 + 4.75544i 0.0641491 + 0.176248i
\(729\) −16.2194 + 28.0929i −0.600720 + 1.04048i
\(730\) 5.45929 + 16.7073i 0.202057 + 0.618366i
\(731\) −2.60626 2.18691i −0.0963960 0.0808859i
\(732\) 4.12982 7.15305i 0.152642 0.264384i
\(733\) −21.4817 + 3.78780i −0.793443 + 0.139905i −0.555657 0.831412i \(-0.687533\pi\)
−0.237787 + 0.971317i \(0.576422\pi\)
\(734\) 23.6054i 0.871293i
\(735\) 1.30314 39.1868i 0.0480672 1.44543i
\(736\) 3.20869 2.69241i 0.118274 0.0992437i
\(737\) −6.62287 + 18.1962i −0.243957 + 0.670265i
\(738\) 36.4864 13.2800i 1.34308 0.488842i
\(739\) 38.1034 1.40166 0.700828 0.713331i \(-0.252814\pi\)
0.700828 + 0.713331i \(0.252814\pi\)
\(740\) 4.64720 12.7829i 0.170835 0.469910i
\(741\) −67.2421 −2.47020
\(742\) −9.59283 + 3.49150i −0.352164 + 0.128177i
\(743\) −1.92370 + 5.28533i −0.0705738 + 0.193900i −0.969965 0.243245i \(-0.921788\pi\)
0.899391 + 0.437145i \(0.144010\pi\)
\(744\) −8.70551 + 7.30479i −0.319160 + 0.267807i
\(745\) 14.6365 + 0.486731i 0.536239 + 0.0178325i
\(746\) 5.43048i 0.198824i
\(747\) 17.8904 3.15456i 0.654576 0.115419i
\(748\) −1.35021 + 2.33862i −0.0493684 + 0.0855086i
\(749\) −4.94272 4.14744i −0.180603 0.151544i
\(750\) −3.29775 + 32.9580i −0.120417 + 1.20346i
\(751\) −21.9873 + 38.0831i −0.802328 + 1.38967i 0.115751 + 0.993278i \(0.463072\pi\)
−0.918080 + 0.396395i \(0.870261\pi\)
\(752\) −4.30887 11.8385i −0.157128 0.431706i
\(753\) 26.0180 21.8317i 0.948147 0.795590i
\(754\) 29.9192 17.2739i 1.08959 0.629077i
\(755\) −17.8863 7.19194i −0.650950 0.261742i
\(756\) 1.48547 8.42451i 0.0540260 0.306397i
\(757\) −12.6664 10.6284i −0.460368 0.386294i 0.382899 0.923790i \(-0.374926\pi\)
−0.843266 + 0.537496i \(0.819370\pi\)
\(758\) −12.3949 4.51139i −0.450204 0.163861i
\(759\) −9.24929 + 25.4122i −0.335728 + 0.922405i
\(760\) 6.43416 + 8.20716i 0.233392 + 0.297705i
\(761\) 0.374025 2.12120i 0.0135584 0.0768935i −0.977278 0.211963i \(-0.932015\pi\)
0.990836 + 0.135069i \(0.0431256\pi\)
\(762\) −4.09793 + 23.2405i −0.148452 + 0.841914i
\(763\) −5.53190 9.58153i −0.200268 0.346875i
\(764\) −15.0914 17.9853i −0.545989 0.650685i
\(765\) 2.25402 + 15.8468i 0.0814944 + 0.572943i
\(766\) −12.6664 + 21.9388i −0.457654 + 0.792680i
\(767\) −23.3708 + 13.4932i −0.843872 + 0.487209i
\(768\) −1.90431 + 2.26946i −0.0687157 + 0.0818922i
\(769\) −12.4128 7.16654i −0.447617 0.258432i 0.259206 0.965822i \(-0.416539\pi\)
−0.706823 + 0.707390i \(0.749872\pi\)
\(770\) −0.168416 + 5.06445i −0.00606931 + 0.182510i
\(771\) 34.5199i 1.24320i
\(772\) 1.96066 + 11.1194i