Properties

Label 370.2.v.a.289.1
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 289.1
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.a.169.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(-1.01326 + 2.78391i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.07464 + 0.834194i) q^{5} -2.96257i q^{6} +(1.02406 - 0.180569i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.42531 - 3.71328i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(-1.01326 + 2.78391i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.07464 + 0.834194i) q^{5} -2.96257i q^{6} +(1.02406 - 0.180569i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.42531 - 3.71328i) q^{9} +(1.66421 - 1.49345i) 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} +(-0.220174 - 6.62085i) 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} +(-1.05305 + 1.97258i) 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} +(3.60824 - 3.46130i) 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} +(2.47136 + 6.14626i) q^{30} -3.83594i q^{31} +(0.173648 + 0.984808i) q^{32} +(-4.15002 - 4.94580i) q^{33} +(1.16440 + 0.423807i) q^{34} +(-1.97392 + 1.22888i) q^{35} -5.77684 q^{36} +(5.16263 - 3.21671i) q^{37} +4.66382i q^{38} +(-4.93119 - 13.5483i) q^{39} +(0.314885 - 2.21379i) q^{40} +(-5.14883 + 4.32038i) q^{41} +(-0.534950 - 3.03385i) q^{42} +2.74566 q^{43} +(0.378428 + 2.14617i) q^{44} +(12.2785 + 4.01214i) 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} +(-2.20680 + 4.48665i) 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} +(0.686223 - 4.82446i) 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} +(-4.42447 - 4.93034i) 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} +(5.12486 - 9.59988i) q^{65} +(5.59130 + 3.22814i) q^{66} +(-8.75050 + 1.54295i) q^{67} -1.23913 q^{68} +(12.2207 - 2.15483i) q^{69} +(1.43458 - 1.82989i) 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} +(2.63374 + 0.860601i) 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} +(-12.9103 + 0.429326i) 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} +(0.346608 + 10.4229i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) 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 \(0.437690\pi\)
−0.779511 + 0.626388i \(0.784532\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −2.07464 + 0.834194i −0.927806 + 0.373063i
\(6\) 2.96257i 1.20947i
\(7\) 1.02406 0.180569i 0.387058 0.0682488i 0.0232669 0.999729i \(-0.492593\pi\)
0.363791 + 0.931480i \(0.381482\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −4.42531 3.71328i −1.47510 1.23776i
\(10\) 1.66421 1.49345i 0.526269 0.472272i
\(11\) −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 −0.991319 0.131475i \(-0.958029\pi\)
−0.0426633 + 0.999090i \(0.513584\pi\)
\(14\) −0.900543 + 0.519929i −0.240680 + 0.138957i
\(15\) −0.220174 6.62085i −0.0568487 1.70950i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −0.949228 0.796496i −0.230221 0.193179i 0.520378 0.853936i \(-0.325791\pi\)
−0.750600 + 0.660757i \(0.770235\pi\)
\(18\) 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 \(-0.0685684\pi\)
\(20\) −1.05305 + 1.97258i −0.235470 + 0.441083i
\(21\) −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 0.560735 0.827995i \(-0.310519\pi\)
−0.997432 + 0.0716133i \(0.977185\pi\)
\(24\) −1.90431 2.26946i −0.388715 0.463252i
\(25\) 3.60824 3.46130i 0.721648 0.692260i
\(26\) 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 \(0.437599\pi\)
\(30\) 2.47136 + 6.14626i 0.451207 + 1.12215i
\(31\) 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
\(35\) −1.97392 + 1.22888i −0.333654 + 0.207719i
\(36\) −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
\(40\) 0.314885 2.21379i 0.0497877 0.350030i
\(41\) −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 \(-0.432864\pi\)
0.209355 + 0.977840i \(0.432864\pi\)
\(44\) 0.378428 + 2.14617i 0.0570502 + 0.323548i
\(45\) 12.2785 + 4.01214i 1.83037 + 0.598094i
\(46\) 3.20869 + 2.69241i 0.473096 + 0.396975i
\(47\) −10.9104 + 6.29914i −1.59145 + 0.918824i −0.598392 + 0.801204i \(0.704193\pi\)
−0.993059 + 0.117621i \(0.962473\pi\)
\(48\) 2.56566 + 1.48129i 0.370322 + 0.213805i
\(49\) −5.56176 + 2.02431i −0.794536 + 0.289188i
\(50\) −2.20680 + 4.48665i −0.312089 + 0.634508i
\(51\) 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 −0.535763 0.844368i \(-0.679976\pi\)
−0.792244 + 0.610205i \(0.791087\pi\)
\(54\) −5.28795 + 6.30193i −0.719598 + 0.857584i
\(55\) 0.686223 4.82446i 0.0925303 0.650530i
\(56\) −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 \(0.673106\pi\)
\(60\) −4.42447 4.93034i −0.571196 0.636505i
\(61\) 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
\(65\) 5.12486 9.59988i 0.635660 1.19072i
\(66\) 5.59130 + 3.22814i 0.688242 + 0.397357i
\(67\) −8.75050 + 1.54295i −1.06904 + 0.188501i −0.680366 0.732873i \(-0.738179\pi\)
−0.388677 + 0.921374i \(0.627068\pi\)
\(68\) −1.23913 −0.150266
\(69\) 12.2207 2.15483i 1.47120 0.259411i
\(70\) 1.43458 1.82989i 0.171465 0.218714i
\(71\) 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 \(0.152151\pi\)
−0.887918 + 0.460002i \(0.847849\pi\)
\(74\) −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 −0.643612 0.765352i \(-0.722565\pi\)
0.865487 + 0.500932i \(0.167009\pi\)
\(84\) 1.54033 + 2.66792i 0.168063 + 0.291094i
\(85\) 2.63374 + 0.860601i 0.285669 + 0.0933453i
\(86\) −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 \(0.781227\pi\)
\(90\) −12.9103 + 0.429326i −1.36086 + 0.0452550i
\(91\) −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
\(95\) 0.346608 + 10.4229i 0.0355613 + 1.06936i
\(96\) −2.91756 0.514445i −0.297773 0.0525054i
\(97\) −5.15005 8.92014i −0.522908 0.905703i −0.999645 0.0266572i \(-0.991514\pi\)
0.476737 0.879046i \(-0.341820\pi\)
\(98\) 4.53398 3.80446i 0.458002 0.384309i
\(99\) 11.8301 4.30581i 1.18897 0.432751i
\(100\) 0.539190 4.97084i 0.0539190 0.497084i
\(101\) 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 −0.611728 0.791068i \(-0.709525\pi\)
0.990949 + 0.134238i \(0.0428586\pi\)
\(104\) −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 0.537987 0.842953i \(-0.319185\pi\)
−0.923567 + 0.383437i \(0.874740\pi\)
\(108\) 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 0.0641993 0.997937i \(-0.479551\pi\)
0.690641 + 0.723198i \(0.257328\pi\)
\(114\) −12.9836 4.72566i −1.21603 0.442598i
\(115\) 7.37099 + 5.77863i 0.687349 + 0.538860i
\(116\) 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
\(120\) 5.84392 + 3.11975i 0.533474 + 0.284793i
\(121\) 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
\(125\) −4.59839 + 10.1909i −0.411292 + 0.911503i
\(126\) 5.91583 + 1.04312i 0.527024 + 0.0929285i
\(127\) 7.84470 + 1.38323i 0.696105 + 0.122742i 0.510494 0.859881i \(-0.329463\pi\)
0.185611 + 0.982623i \(0.440574\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) −2.78207 + 7.64368i −0.244948 + 0.672988i
\(130\) −1.53244 + 10.7737i −0.134404 + 0.944920i
\(131\) −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
\(135\) −11.3493 + 14.4767i −0.976794 + 1.24596i
\(136\) 1.16440 0.423807i 0.0998465 0.0363411i
\(137\) 7.50310 + 4.33192i 0.641033 + 0.370101i 0.785012 0.619480i \(-0.212657\pi\)
−0.143979 + 0.989581i \(0.545990\pi\)
\(138\) −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 \(0.881764\pi\)
\(140\) −0.722203 + 2.21019i −0.0610373 + 0.186795i
\(141\) −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
\(145\) −15.7153 2.23532i −1.30509 0.185634i
\(146\) −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 \(0.586451\pi\)
\(150\) −10.2544 10.6897i −0.837265 0.872808i
\(151\) 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
\(155\) 3.19992 + 7.95818i 0.257023 + 0.639216i
\(156\) −12.4862 7.20892i −0.999697 0.577175i
\(157\) −13.4128 + 15.9848i −1.07046 + 1.27572i −0.111018 + 0.993818i \(0.535411\pi\)
−0.959442 + 0.281906i \(0.909033\pi\)
\(158\) 13.7850 7.95876i 1.09667 0.633165i
\(159\) 14.5421 25.1876i 1.15326 1.99751i
\(160\) −1.18178 1.89826i −0.0934278 0.150071i
\(161\) −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 \(0.136977\pi\)
−0.996700 + 0.0811713i \(0.974134\pi\)
\(164\) −1.16715 + 6.61921i −0.0911388 + 0.516874i
\(165\) 12.7355 + 6.79882i 0.991460 + 0.529287i
\(166\) −1.07555 + 2.95505i −0.0834789 + 0.229356i
\(167\) −13.5908 4.94663i −1.05168 0.382782i −0.242386 0.970180i \(-0.577930\pi\)
−0.809298 + 0.587398i \(0.800152\pi\)
\(168\) −2.35992 1.98021i −0.182072 0.152776i
\(169\) 1.85532 10.5221i 0.142717 0.809389i
\(170\) −2.76924 + 0.0920903i −0.212391 + 0.00706300i
\(171\) −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 \(-0.933331\pi\)
0.615655 0.788016i \(-0.288892\pi\)
\(174\) 10.5154 18.2133i 0.797173 1.38074i
\(175\) 3.07005 4.19612i 0.232074 0.317197i
\(176\) 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 \(-0.0501020\pi\)
\(180\) 11.9848 4.81901i 0.893297 0.359187i
\(181\) −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
\(185\) −8.02722 + 10.9802i −0.590173 + 0.807277i
\(186\) −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
\(190\) −3.89053 9.67573i −0.282249 0.701951i
\(191\) 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 −0.588109 0.808782i \(-0.700127\pi\)
0.994480 + 0.104926i \(0.0334606\pi\)
\(194\) 7.89033 + 6.62077i 0.566493 + 0.475344i
\(195\) 21.5324 + 23.9943i 1.54197 + 1.71827i
\(196\) −2.95935 + 5.12574i −0.211382 + 0.366124i
\(197\) 7.67079 + 21.0753i 0.546521 + 1.50155i 0.838376 + 0.545092i \(0.183505\pi\)
−0.291855 + 0.956463i \(0.594273\pi\)
\(198\) −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 \(0.290590\pi\)
\(200\) 1.19346 + 4.85548i 0.0843900 + 0.343334i
\(201\) 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
\(205\) 7.07792 13.2584i 0.494344 0.926004i
\(206\) −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
\(210\) 3.64065 + 5.84789i 0.251229 + 0.403543i
\(211\) 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
\(215\) −5.69626 + 2.29042i −0.388482 + 0.156205i
\(216\) 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
\(220\) −2.57543 4.13685i −0.173635 0.278906i
\(221\) 6.03042 0.405650
\(222\) −9.52975 15.2947i −0.639595 1.02651i
\(223\) 23.1615i 1.55101i 0.631342 + 0.775504i \(0.282504\pi\)
−0.631342 + 0.775504i \(0.717496\pi\)
\(224\) 0.355652 + 0.977146i 0.0237630 + 0.0652883i
\(225\) −28.8204 + 1.91894i −1.92136 + 0.127930i
\(226\) −6.54128 + 5.48878i −0.435119 + 0.365108i
\(227\) −0.942780 5.34677i −0.0625745 0.354878i −0.999978 0.00663250i \(-0.997889\pi\)
0.937404 0.348245i \(-0.113222\pi\)
\(228\) 13.8169 0.915046
\(229\) 3.76717 + 21.3647i 0.248942 + 1.41182i 0.811158 + 0.584827i \(0.198838\pi\)
−0.562216 + 0.826990i \(0.690051\pi\)
\(230\) −8.90287 2.90911i −0.587038 0.191821i
\(231\) −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 0.777983 0.628285i \(-0.216243\pi\)
−0.155119 + 0.987896i \(0.549576\pi\)
\(234\) −26.4184 + 9.61552i −1.72703 + 0.628586i
\(235\) 17.3805 22.1699i 1.13378 1.44620i
\(236\) −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 \(0.952387\pi\)
\(240\) −6.55850 0.932870i −0.423349 0.0602165i
\(241\) 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
\(245\) 9.84995 8.83930i 0.629290 0.564722i
\(246\) 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
\(250\) 0.835574 11.1491i 0.0528463 0.705129i
\(251\) 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
\(255\) −5.06449 + 6.46007i −0.317151 + 0.404545i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 10.9493 3.98521i 0.682998 0.248591i 0.0228635 0.999739i \(-0.492722\pi\)
0.660134 + 0.751148i \(0.270499\pi\)
\(258\) 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 0.771121 0.636688i \(-0.219696\pi\)
−0.760919 + 0.648846i \(0.775252\pi\)
\(264\) 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 \(0.640262\pi\)
\(270\) 5.71354 17.4854i 0.347715 1.06413i
\(271\) 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
\(275\) 2.60088 + 10.5815i 0.156839 + 0.638086i
\(276\) 7.97647 9.50599i 0.480127 0.572193i
\(277\) 0.636745 + 0.231756i 0.0382583 + 0.0139249i 0.361078 0.932535i \(-0.382409\pi\)
−0.322820 + 0.946460i \(0.604631\pi\)
\(278\) 10.6465 + 3.87502i 0.638537 + 0.232408i
\(279\) −14.2439 + 16.9752i −0.852760 + 1.01628i
\(280\) −0.0772807 2.32391i −0.00461841 0.138880i
\(281\) −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 −0.889410 0.457110i \(-0.848884\pi\)
0.295721 + 0.955274i \(0.404440\pi\)
\(284\) 6.94924 2.52932i 0.412362 0.150087i
\(285\) −29.3675 9.59613i −1.73958 0.568426i
\(286\) 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 \(-0.731261\pi\)
0.989341 0.145617i \(-0.0465167\pi\)
\(294\) 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
\(300\) 13.2920 + 6.53781i 0.767416 + 0.377461i
\(301\) 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
\(305\) −5.49954 2.93591i −0.314903 0.168110i
\(306\) −3.57912 6.19922i −0.204605 0.354386i
\(307\) 5.90124 + 3.40708i 0.336801 + 0.194452i 0.658857 0.752268i \(-0.271040\pi\)
−0.322055 + 0.946721i \(0.604374\pi\)
\(308\) 0.775066 + 2.12948i 0.0441635 + 0.121338i
\(309\) 14.6581 + 17.4688i 0.833870 + 0.993768i
\(310\) −5.72879 6.38380i −0.325374 0.362576i
\(311\) 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 0.845895 0.533349i \(-0.179067\pi\)
−0.378358 + 0.925659i \(0.623511\pi\)
\(314\) 7.13682 19.6082i 0.402754 1.10656i
\(315\) 13.2984 + 1.89154i 0.749280 + 0.106576i
\(316\) −10.2316 + 12.1935i −0.575572 + 0.685939i
\(317\) 19.3568 + 3.41313i 1.08719 + 0.191700i 0.688391 0.725339i \(-0.258317\pi\)
0.398796 + 0.917040i \(0.369428\pi\)
\(318\) −5.05040 + 28.6423i −0.283213 + 1.60618i
\(319\) −13.3978 + 7.73520i −0.750131 + 0.433088i
\(320\) 1.75975 + 1.37959i 0.0983731 + 0.0771215i
\(321\) 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
\(325\) −2.62406 + 24.1914i −0.145556 + 1.34190i
\(326\) −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
\(330\) −14.2928 2.03299i −0.786794 0.111912i
\(331\) 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
\(335\) 16.8670 10.5007i 0.921542 0.573713i
\(336\) 2.89487 + 1.05365i 0.157928 + 0.0574811i
\(337\) −16.1526 19.2500i −0.879891 1.04861i −0.998449 0.0556659i \(-0.982272\pi\)
0.118559 0.992947i \(-0.462173\pi\)
\(338\) 1.85532 + 10.5221i 0.100916 + 0.572325i
\(339\) 25.2975i 1.37397i
\(340\) 2.57074 1.03367i 0.139418 0.0560588i
\(341\) 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
\(345\) −23.5559 + 14.6649i −1.26821 + 0.789532i
\(346\) 8.96058 + 10.6788i 0.481724 + 0.574096i
\(347\) −9.20588 15.9450i −0.494197 0.855975i 0.505780 0.862662i \(-0.331205\pi\)
−0.999978 + 0.00668732i \(0.997871\pi\)
\(348\) −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 \(0.0172357\pi\)
\(350\) −1.44974 + 4.99308i −0.0774921 + 0.266891i
\(351\) −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 0.931624 0.363425i \(-0.118393\pi\)
−0.196129 + 0.980578i \(0.562837\pi\)
\(354\) −2.85267 + 16.1783i −0.151618 + 0.859867i
\(355\) −16.5271 + 0.549603i −0.877167 + 0.0291699i
\(356\) −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 \(0.0785389\pi\)
\(360\) −9.61387 + 8.62744i −0.506696 + 0.454706i
\(361\) −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
\(365\) −6.55720 16.3077i −0.343219 0.853585i
\(366\) 6.32725 5.30919i 0.330731 0.277516i
\(367\) −8.07354 + 22.1819i −0.421435 + 1.15788i 0.529450 + 0.848341i \(0.322398\pi\)
−0.950885 + 0.309543i \(0.899824\pi\)
\(368\) −3.93605 + 1.43260i −0.205181 + 0.0746796i
\(369\) 38.8280 2.02131
\(370\) 3.78769 13.0634i 0.196913 0.679136i
\(371\) −10.2085 −0.529997
\(372\) 10.6789 3.88680i 0.553675 0.201521i
\(373\) −1.85733 + 5.10298i −0.0961690 + 0.264222i −0.978444 0.206512i \(-0.933789\pi\)
0.882275 + 0.470734i \(0.156011\pi\)
\(374\) −2.06863 + 1.73579i −0.106967 + 0.0897556i
\(375\) −23.7112 23.1275i −1.22444 1.19430i
\(376\) 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 \(0.832234\pi\)
\(380\) 6.96520 + 7.76157i 0.357307 + 0.398160i
\(381\) −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 0.00580066 0.999983i \(-0.498154\pi\)
0.985798 + 0.167933i \(0.0537091\pi\)
\(384\) −2.56566 + 1.48129i −0.130928 + 0.0755916i
\(385\) −0.168416 5.06445i −0.00858330 0.258108i
\(386\) −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 \(0.810260\pi\)
\(390\) −28.4403 15.1828i −1.44013 0.768809i
\(391\) −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
\(395\) 30.2156 18.8110i 1.52031 0.946483i
\(396\) 6.29468 10.9027i 0.316319 0.547881i
\(397\) −19.3984 + 11.1997i −0.973580 + 0.562097i −0.900326 0.435217i \(-0.856672\pi\)
−0.0732541 + 0.997313i \(0.523338\pi\)
\(398\) −2.42793 + 2.89349i −0.121701 + 0.145038i
\(399\) 12.4427 + 7.18380i 0.622915 + 0.359640i
\(400\) −2.78215 4.15447i −0.139108 0.207724i
\(401\) 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
\(405\) −8.32130 13.3663i −0.413489 0.664178i
\(406\) −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 \(0.780060\pi\)
\(410\) −2.11645 + 14.8796i −0.104524 + 0.734850i
\(411\) −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
\(415\) −2.18406 + 6.68397i −0.107211 + 0.328103i
\(416\) −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 \(0.244167\pi\)
\(420\) −5.42119 4.25004i −0.264527 0.207381i
\(421\) −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
\(425\) −6.18195 + 0.411613i −0.299869 + 0.0199661i
\(426\) 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
\(430\) 4.56936 4.10052i 0.220354 0.197745i
\(431\) −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 \(-0.981470\pi\)
−0.549540 0.835467i \(-0.685197\pi\)
\(434\) 1.99441 + 3.45443i 0.0957349 + 0.165818i
\(435\) 22.1467 41.4851i 1.06185 1.98906i
\(436\) 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 \(0.221543\pi\)
\(440\) 3.83500 + 3.00652i 0.182826 + 0.143330i
\(441\) 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 \(-0.625136\pi\)
0.383078 0.923716i \(-0.374864\pi\)
\(444\) 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
\(455\) 3.51472 10.7562i 0.164772 0.504261i
\(456\) −12.9836 + 4.72566i −0.608015 + 0.221299i
\(457\) 1.73260 1.45383i 0.0810477 0.0680071i −0.601364 0.798975i \(-0.705376\pi\)
0.682411 + 0.730968i \(0.260931\pi\)
\(458\) −10.8471 18.7878i −0.506853 0.877895i
\(459\) −10.0389 1.77013i −0.468577 0.0826228i
\(460\) 9.36094 0.311295i 0.436456 0.0145142i
\(461\) −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 0.838056 0.545584i \(-0.183692\pi\)
0.291293 + 0.956634i \(0.405914\pi\)
\(464\) 4.56306 5.43804i 0.211835 0.252455i
\(465\) −25.3972 + 0.844574i −1.17777 + 0.0391662i
\(466\) −10.8117 1.90639i −0.500840 0.0883117i
\(467\) −5.22034 9.04190i −0.241569 0.418409i 0.719593 0.694396i \(-0.244329\pi\)
−0.961161 + 0.275987i \(0.910995\pi\)
\(468\) 21.5365 18.0713i 0.995525 0.835345i
\(469\) −8.68242 + 3.16014i −0.400917 + 0.145922i
\(470\) −8.74978 + 26.7773i −0.403597 + 1.23515i
\(471\) −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
\(485\) 18.1256 + 14.2099i 0.823042 + 0.645239i
\(486\) −3.76124 + 0.663208i −0.170613 + 0.0300837i
\(487\) −8.96191 −0.406103 −0.203051 0.979168i \(-0.565086\pi\)
−0.203051 + 0.979168i \(0.565086\pi\)
\(488\) −2.74564 + 0.484130i −0.124289 + 0.0219155i
\(489\) −16.5755 9.56987i −0.749570 0.432765i
\(490\) −6.23271 + 11.6751i −0.281565 + 0.527428i
\(491\) −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
\(495\) −20.9513 + 18.8016i −0.941692 + 0.845070i
\(496\) −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 \(0.149626\pi\)
\(500\) 3.02802 + 10.7625i 0.135417 + 0.481313i
\(501\) 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 −0.997743 0.0671471i \(-0.978610\pi\)
0.960537 + 0.278151i \(0.0897214\pi\)
\(504\) 5.20229 3.00354i 0.231728 0.133788i
\(505\) −32.3006 25.3227i −1.43736 1.12685i
\(506\) −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 \(0.826012\pi\)
\(510\) 2.54959 7.80263i 0.112898 0.345506i
\(511\) 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
\(515\) −2.42378 + 17.0403i −0.106805 + 0.750885i
\(516\) 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
\(520\) 5.75131 + 9.23820i 0.252212 + 0.405122i
\(521\) 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 \(0.246938\pi\)
−0.431317 + 0.902201i \(0.641951\pi\)
\(524\) 1.49014i 0.0650972i
\(525\) 8.57085 + 12.7985i 0.374062 + 0.558572i
\(526\) −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
\(530\) −18.6356 + 11.6017i −0.809478 + 0.503947i
\(531\) 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
\(535\) 12.2398 + 6.53415i 0.529172 + 0.282496i
\(536\) 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
\(540\) 0.611388 + 18.3850i 0.0263100 + 0.791166i
\(541\) −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
\(545\) −15.8899 17.7067i −0.680650 0.758473i
\(546\) 11.4849 + 9.63699i 0.491509 + 0.412425i
\(547\) 1.84100 3.18871i 0.0787157 0.136340i −0.823980 0.566618i \(-0.808251\pi\)
0.902696 + 0.430279i \(0.141585\pi\)
\(548\) 8.53221 1.50446i 0.364478 0.0642673i
\(549\) 16.1058i 0.687378i
\(550\) −6.06309 9.05376i −0.258531 0.386054i
\(551\) 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
\(555\) −22.4341 33.4728i −0.952273 1.42084i
\(556\) −11.3298 −0.480491
\(557\) −30.4917 + 11.0981i −1.29198 + 0.470241i −0.894375 0.447318i \(-0.852379\pi\)
−0.397601 + 0.917558i \(0.630157\pi\)
\(558\) 7.57902 20.8232i 0.320846 0.881516i
\(559\) −10.2361 + 8.58907i −0.432939 + 0.363279i
\(560\) 0.867443 + 2.15733i 0.0366562 + 0.0911637i
\(561\) 8.00016i 0.337767i
\(562\) 23.9729 4.22707i 1.01124 0.178308i
\(563\) 3.17479 5.49889i 0.133801 0.231751i −0.791338 0.611379i \(-0.790615\pi\)
0.925139 + 0.379629i \(0.123948\pi\)
\(564\) −28.5913 23.9910i −1.20391 1.01020i
\(565\) −14.2107 + 12.7526i −0.597850 + 0.536508i
\(566\) 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 \(0.342928\pi\)
\(570\) 30.8785 1.02685i 1.29336 0.0430101i
\(571\) −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
\(575\) −20.1126 5.83972i −0.838755 0.243533i
\(576\) −1.00314 + 5.68907i −0.0417974 + 0.237045i
\(577\) −6.83944 + 38.7884i −0.284730 + 1.61478i 0.421520 + 0.906819i \(0.361497\pi\)
−0.706249 + 0.707963i \(0.749614\pi\)
\(578\) 7.73228 + 13.3927i 0.321620 + 0.557063i
\(579\) 21.5015 + 25.6245i 0.893571 + 1.06492i
\(580\) −13.4755 + 8.38927i −0.559539 + 0.348345i
\(581\) 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
\(585\) −58.3262 + 23.4525i −2.41149 + 0.969640i
\(586\) 16.2686i 0.672048i
\(587\) 3.12951 + 17.7483i 0.129169 + 0.732551i 0.978744 + 0.205085i \(0.0657469\pi\)
−0.849576 + 0.527467i \(0.823142\pi\)
\(588\) −11.2710 13.4323i −0.464808 0.553937i
\(589\) −16.8112 6.11878i −0.692693 0.252120i
\(590\) −10.5261 + 6.55312i −0.433354 + 0.269788i
\(591\) −66.4443 −2.73315
\(592\) −2.27136 5.64278i −0.0933524 0.231917i
\(593\) 3.27681i 0.134562i 0.997734 + 0.0672811i \(0.0214324\pi\)
−0.997734 + 0.0672811i \(0.978568\pi\)
\(594\) −6.13175 16.8469i −0.251589 0.691235i
\(595\) 2.85250 + 0.405735i 0.116941 + 0.0166335i
\(596\) −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 \(0.812753\pi\)
\(600\) −14.7265 1.59739i −0.601206 0.0652132i
\(601\) 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
\(605\) −10.9997 8.62346i −0.447203 0.350593i
\(606\) 47.0933 27.1893i 1.91303 1.10449i
\(607\) 0.557052 3.15920i 0.0226100 0.128228i −0.971414 0.237394i \(-0.923707\pi\)
0.994024 + 0.109166i \(0.0348180\pi\)
\(608\) 4.59296 + 0.809863i 0.186269 + 0.0328443i
\(609\) −14.0572 + 16.7527i −0.569626 + 0.678854i
\(610\) 6.17202 + 0.877898i 0.249898 + 0.0355450i
\(611\) 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 0.131201 0.991356i \(-0.458117\pi\)
−0.215775 + 0.976443i \(0.569228\pi\)
\(614\) −6.71064 1.18327i −0.270819 0.0477528i
\(615\) 29.7383 + 33.1384i 1.19916 + 1.33627i
\(616\) −1.45665 1.73597i −0.0586900 0.0699441i
\(617\) 11.0588 + 30.3837i 0.445209 + 1.22320i 0.936023 + 0.351938i \(0.114477\pi\)
−0.490814 + 0.871264i \(0.663301\pi\)
\(618\) −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 \(0.849618\pi\)
\(620\) 7.56670 + 4.03945i 0.303886 + 0.162228i
\(621\) −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
\(625\) 1.03878 24.9784i 0.0415514 0.999136i
\(626\) −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
\(640\) −2.12547 0.694521i −0.0840167 0.0274534i
\(641\) 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 0.931397 0.364005i \(-0.118591\pi\)
−0.780936 + 0.624611i \(0.785258\pi\)
\(644\) −4.28943 0.756342i −0.169027 0.0298041i
\(645\) −0.604524 18.1786i −0.0238031 0.715783i
\(646\) 3.71471 4.42702i 0.146153 0.174179i
\(647\) 34.6407 + 12.6082i 1.36187 + 0.495679i 0.916631 0.399735i \(-0.130898\pi\)
0.445235 + 0.895414i \(0.353120\pi\)
\(648\) −6.61670 2.40828i −0.259928 0.0946062i
\(649\) 7.76771 9.25720i 0.304909 0.363377i
\(650\) −5.80814 23.6300i −0.227814 0.926843i
\(651\) 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 −0.671535 0.740973i \(-0.734365\pi\)
0.613105 + 0.790001i \(0.289920\pi\)
\(654\) 29.6200 10.7808i 1.15823 0.421563i
\(655\) 1.03494 3.16726i 0.0404383 0.123755i
\(656\) 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
\(670\) −12.2583 + 15.6363i −0.473581 + 0.604081i
\(671\) −5.98352 + 1.05506i −0.230991 + 0.0407300i
\(672\) −3.08065 −0.118839
\(673\) −15.2333 + 2.68605i −0.587202 + 0.103540i −0.459352 0.888254i \(-0.651919\pi\)
−0.127849 + 0.991794i \(0.540807\pi\)
\(674\) 21.7624 + 12.5645i 0.838256 + 0.483968i
\(675\) 11.4693 39.5015i 0.441454 1.52042i
\(676\) −5.34219 9.25295i −0.205469 0.355883i
\(677\) 16.7515 + 9.67147i 0.643812 + 0.371705i 0.786081 0.618123i \(-0.212107\pi\)
−0.142270 + 0.989828i \(0.545440\pi\)
\(678\) −8.65225 23.7719i −0.332288 0.912953i
\(679\) −6.88466 8.20482i −0.264209 0.314872i
\(680\) −2.06217 + 1.85058i −0.0790806 + 0.0709666i
\(681\) 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 0.834563 0.550912i \(-0.185720\pi\)
−0.397622 + 0.917549i \(0.630164\pi\)
\(684\) −9.21475 + 25.3173i −0.352335 + 0.968031i
\(685\) −19.1799 2.72811i −0.732825 0.104236i
\(686\) 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
\(690\) 17.1196 21.8371i 0.651733 0.831324i
\(691\) −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
\(695\) 24.0812 + 7.86879i 0.913452 + 0.298480i
\(696\) −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
\(700\) −0.345419 5.18780i −0.0130556 0.196080i
\(701\) 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
\(705\) 44.1079 + 70.8495i 1.66120 + 2.66835i
\(706\) −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 \(0.932769\pi\)
\(710\) 15.3424 6.16906i 0.575791 0.231521i
\(711\) 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
\(715\) 12.5337 + 20.1326i 0.468735 + 0.752918i
\(716\) −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 \(0.956367\pi\)
\(720\) 6.08333 11.3953i 0.226712 0.424677i
\(721\) 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
\(725\) 34.4683 8.47217i 1.28012 0.314648i
\(726\) 16.0373 9.25912i 0.595199 0.343638i
\(727\) 5.81383 4.87838i 0.215623 0.180929i −0.528578 0.848885i \(-0.677275\pi\)
0.744201 + 0.667955i \(0.232830\pi\)
\(728\) −1.73084 4.75544i −0.0641491 0.176248i
\(729\) −16.2194 + 28.0929i −0.600720 + 1.04048i
\(730\) 11.7393 + 13.0815i 0.434492 + 0.484170i
\(731\) −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 0.237787 0.971317i \(-0.423578\pi\)
0.555657 + 0.831412i \(0.312467\pi\)
\(734\) 23.6054i 0.871293i
\(735\) 14.6272 + 36.3779i 0.539534 + 1.34182i
\(736\) 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 \(0.252814\pi\)
\(740\) 0.908695 + 13.5711i 0.0334043 + 0.498883i
\(741\) −67.2421 −2.47020
\(742\) 9.59283 3.49150i 0.352164 0.128177i
\(743\) 1.92370 5.28533i 0.0705738 0.193900i −0.899391 0.437145i \(-0.855990\pi\)
0.969965 + 0.243245i \(0.0782119\pi\)
\(744\) −8.70551 + 7.30479i −0.319160 + 0.267807i
\(745\) 13.5873 5.46335i 0.497801 0.200162i
\(746\) 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
\(750\) 30.1913 + 13.6231i 1.10243 + 0.497444i
\(751\) −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
\(755\) −19.2674 + 0.640732i −0.701214 + 0.0233186i
\(756\) 1.48547 8.42451i 0.0540260 0.306397i
\(757\) 12.6664 + 10.6284i 0.460368 + 0.386294i 0.843266 0.537496i \(-0.180630\pi\)
−0.382899 + 0.923790i \(0.625074\pi\)
\(758\) 12.3949 + 4.51139i 0.450204 + 0.163861i
\(759\) −9.24929 + 25.4122i −0.335728 + 0.922405i
\(760\) −9.19976 4.91125i −0.333710 0.178150i
\(761\) 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
\(765\) −8.45946 13.5882i −0.305852 0.491283i
\(766\) −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 \(0.749872\pi\)
\(770\) 1.89040 + 4.70142i 0.0681254 + 0.169428i
\(771\) 34.5199i 1.24320i
\(772\) −1.96066 11.1194i −0.0705657 0.400198i