Properties

Label 216.2.t.a.205.24
Level $216$
Weight $2$
Character 216.205
Analytic conductor $1.725$
Analytic rank $0$
Dimension $204$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.t (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 205.24
Character \(\chi\) \(=\) 216.205
Dual form 216.2.t.a.157.24

$q$-expansion

\(f(q)\) \(=\) \(q+(0.770006 - 1.18621i) q^{2} +(0.759610 + 1.55660i) q^{3} +(-0.814182 - 1.82678i) q^{4} +(0.857221 - 2.35519i) q^{5} +(2.43135 + 0.297532i) q^{6} +(0.442985 - 2.51229i) q^{7} +(-2.79386 - 0.440839i) q^{8} +(-1.84598 + 2.36481i) q^{9} +O(q^{10})\) \(q+(0.770006 - 1.18621i) q^{2} +(0.759610 + 1.55660i) q^{3} +(-0.814182 - 1.82678i) q^{4} +(0.857221 - 2.35519i) q^{5} +(2.43135 + 0.297532i) q^{6} +(0.442985 - 2.51229i) q^{7} +(-2.79386 - 0.440839i) q^{8} +(-1.84598 + 2.36481i) q^{9} +(-2.13369 - 2.83036i) q^{10} +(1.32995 + 3.65402i) q^{11} +(2.22509 - 2.65499i) q^{12} +(1.81187 + 2.15930i) q^{13} +(-2.63900 - 2.45995i) q^{14} +(4.31724 - 0.454683i) q^{15} +(-2.67422 + 2.97465i) q^{16} +(-3.79287 - 6.56945i) q^{17} +(1.38374 + 4.01064i) q^{18} +(4.25574 + 2.45705i) q^{19} +(-5.00034 + 0.351606i) q^{20} +(4.24712 - 1.21881i) q^{21} +(5.35850 + 1.23601i) q^{22} +(0.488755 + 2.77187i) q^{23} +(-1.43604 - 4.68378i) q^{24} +(-0.981892 - 0.823905i) q^{25} +(3.95653 - 0.486580i) q^{26} +(-5.08329 - 1.07712i) q^{27} +(-4.95007 + 1.23623i) q^{28} +(-1.68216 + 2.00472i) q^{29} +(2.78495 - 5.47126i) q^{30} +(0.605101 + 3.43170i) q^{31} +(1.46940 + 5.46268i) q^{32} +(-4.67758 + 4.84583i) q^{33} +(-10.7133 - 0.559376i) q^{34} +(-5.53721 - 3.19691i) q^{35} +(5.82295 + 1.44681i) q^{36} +(-6.91267 + 3.99103i) q^{37} +(6.19153 - 3.15625i) q^{38} +(-1.98485 + 4.46058i) q^{39} +(-3.43322 + 6.20219i) q^{40} +(-7.68334 + 6.44709i) q^{41} +(1.82454 - 5.97647i) q^{42} +(1.38824 + 3.81417i) q^{43} +(5.59224 - 5.40456i) q^{44} +(3.98718 + 6.37482i) q^{45} +(3.66436 + 1.55459i) q^{46} +(1.48461 - 8.41962i) q^{47} +(-6.66170 - 1.90310i) q^{48} +(0.462463 + 0.168323i) q^{49} +(-1.73339 + 0.530317i) q^{50} +(7.34487 - 10.8942i) q^{51} +(2.46937 - 5.06794i) q^{52} -11.8427i q^{53} +(-5.19185 + 5.20045i) q^{54} +9.74598 q^{55} +(-2.34516 + 6.82372i) q^{56} +(-0.591936 + 8.49088i) q^{57} +(1.08274 + 3.53904i) q^{58} +(0.584688 - 1.60642i) q^{59} +(-4.34562 - 7.51644i) q^{60} +(0.343677 + 0.0605995i) q^{61} +(4.53664 + 1.92465i) q^{62} +(5.12336 + 5.68523i) q^{63} +(7.61132 + 2.46328i) q^{64} +(6.63875 - 2.41631i) q^{65} +(2.14640 + 9.27990i) q^{66} +(-1.45040 - 1.72852i) q^{67} +(-8.91282 + 12.2774i) q^{68} +(-3.94342 + 2.86633i) q^{69} +(-8.05588 + 4.10664i) q^{70} +(-2.53118 - 4.38413i) q^{71} +(6.19993 - 5.79318i) q^{72} +(1.34818 - 2.33512i) q^{73} +(-0.588601 + 11.2730i) q^{74} +(0.536633 - 2.15426i) q^{75} +(1.02354 - 9.77477i) q^{76} +(9.76911 - 1.72256i) q^{77} +(3.76283 + 5.78912i) q^{78} +(-0.652898 - 0.547847i) q^{79} +(4.71349 + 8.84824i) q^{80} +(-2.18468 - 8.73082i) q^{81} +(1.73137 + 14.0783i) q^{82} +(-5.59873 + 6.67230i) q^{83} +(-5.68443 - 6.76620i) q^{84} +(-18.7237 + 3.30149i) q^{85} +(5.59336 + 1.29019i) q^{86} +(-4.39832 - 1.09564i) q^{87} +(-2.10487 - 10.7951i) q^{88} +(3.02691 - 5.24277i) q^{89} +(10.6320 + 0.179025i) q^{90} +(6.22743 - 3.59541i) q^{91} +(4.66564 - 3.14965i) q^{92} +(-4.88213 + 3.54865i) q^{93} +(-8.84427 - 8.24421i) q^{94} +(9.43495 - 7.91686i) q^{95} +(-7.38702 + 6.43677i) q^{96} +(4.71115 - 1.71472i) q^{97} +(0.555765 - 0.418968i) q^{98} +(-11.0961 - 3.60017i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} - 3q^{10} + 3q^{12} - 21q^{14} - 12q^{15} - 6q^{16} - 6q^{17} - 27q^{18} + 15q^{20} - 6q^{22} - 12q^{23} - 12q^{25} - 30q^{26} - 12q^{28} - 39q^{30} - 12q^{31} - 36q^{32} - 36q^{36} - 42q^{38} - 12q^{39} - 21q^{40} - 24q^{41} - 66q^{42} + 21q^{44} - 3q^{46} - 12q^{47} + 51q^{48} - 12q^{49} - 99q^{50} - 33q^{52} - 90q^{54} - 24q^{55} + 99q^{56} - 30q^{57} + 21q^{58} + 102q^{60} - 36q^{62} - 72q^{63} - 3q^{64} - 12q^{65} - 9q^{66} + 75q^{68} + 9q^{70} - 90q^{71} + 60q^{72} - 6q^{73} + 9q^{74} - 18q^{76} + 12q^{78} - 12q^{79} + 78q^{80} - 12q^{81} - 12q^{82} + 102q^{84} - 30q^{86} - 48q^{87} - 30q^{88} - 6q^{89} + 6q^{90} + 111q^{92} - 33q^{94} - 42q^{95} + 126q^{96} - 12q^{97} + 54q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{2}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.770006 1.18621i 0.544476 0.838776i
\(3\) 0.759610 + 1.55660i 0.438561 + 0.898701i
\(4\) −0.814182 1.82678i −0.407091 0.913388i
\(5\) 0.857221 2.35519i 0.383361 1.05328i −0.586571 0.809898i \(-0.699522\pi\)
0.969932 0.243377i \(-0.0782553\pi\)
\(6\) 2.43135 + 0.297532i 0.992595 + 0.121467i
\(7\) 0.442985 2.51229i 0.167433 0.949558i −0.779088 0.626915i \(-0.784317\pi\)
0.946521 0.322643i \(-0.104571\pi\)
\(8\) −2.79386 0.440839i −0.987779 0.155860i
\(9\) −1.84598 + 2.36481i −0.615328 + 0.788271i
\(10\) −2.13369 2.83036i −0.674731 0.895037i
\(11\) 1.32995 + 3.65402i 0.400996 + 1.10173i 0.961794 + 0.273774i \(0.0882722\pi\)
−0.560798 + 0.827953i \(0.689506\pi\)
\(12\) 2.22509 2.65499i 0.642329 0.766429i
\(13\) 1.81187 + 2.15930i 0.502522 + 0.598883i 0.956356 0.292204i \(-0.0943885\pi\)
−0.453834 + 0.891086i \(0.649944\pi\)
\(14\) −2.63900 2.45995i −0.705303 0.657450i
\(15\) 4.31724 0.454683i 1.11471 0.117399i
\(16\) −2.67422 + 2.97465i −0.668554 + 0.743663i
\(17\) −3.79287 6.56945i −0.919907 1.59333i −0.799554 0.600594i \(-0.794931\pi\)
−0.120352 0.992731i \(-0.538402\pi\)
\(18\) 1.38374 + 4.01064i 0.326151 + 0.945318i
\(19\) 4.25574 + 2.45705i 0.976334 + 0.563687i 0.901161 0.433484i \(-0.142716\pi\)
0.0751728 + 0.997171i \(0.476049\pi\)
\(20\) −5.00034 + 0.351606i −1.11811 + 0.0786216i
\(21\) 4.24712 1.21881i 0.926798 0.265967i
\(22\) 5.35850 + 1.23601i 1.14244 + 0.263519i
\(23\) 0.488755 + 2.77187i 0.101912 + 0.577974i 0.992409 + 0.122984i \(0.0392463\pi\)
−0.890496 + 0.454991i \(0.849643\pi\)
\(24\) −1.43604 4.68378i −0.293130 0.956073i
\(25\) −0.981892 0.823905i −0.196378 0.164781i
\(26\) 3.95653 0.486580i 0.775940 0.0954262i
\(27\) −5.08329 1.07712i −0.978279 0.207291i
\(28\) −4.95007 + 1.23623i −0.935475 + 0.233625i
\(29\) −1.68216 + 2.00472i −0.312369 + 0.372267i −0.899272 0.437391i \(-0.855903\pi\)
0.586903 + 0.809658i \(0.300347\pi\)
\(30\) 2.78495 5.47126i 0.508460 0.998910i
\(31\) 0.605101 + 3.43170i 0.108679 + 0.616351i 0.989687 + 0.143249i \(0.0457549\pi\)
−0.881007 + 0.473103i \(0.843134\pi\)
\(32\) 1.46940 + 5.46268i 0.259755 + 0.965675i
\(33\) −4.67758 + 4.84583i −0.814262 + 0.843550i
\(34\) −10.7133 0.559376i −1.83731 0.0959322i
\(35\) −5.53721 3.19691i −0.935958 0.540376i
\(36\) 5.82295 + 1.44681i 0.970491 + 0.241135i
\(37\) −6.91267 + 3.99103i −1.13644 + 0.656121i −0.945545 0.325490i \(-0.894471\pi\)
−0.190890 + 0.981611i \(0.561137\pi\)
\(38\) 6.19153 3.15625i 1.00440 0.512012i
\(39\) −1.98485 + 4.46058i −0.317830 + 0.714264i
\(40\) −3.43322 + 6.20219i −0.542839 + 0.980652i
\(41\) −7.68334 + 6.44709i −1.19994 + 1.00687i −0.200305 + 0.979734i \(0.564193\pi\)
−0.999632 + 0.0271328i \(0.991362\pi\)
\(42\) 1.82454 5.97647i 0.281533 0.922189i
\(43\) 1.38824 + 3.81417i 0.211705 + 0.581655i 0.999408 0.0343999i \(-0.0109520\pi\)
−0.787703 + 0.616055i \(0.788730\pi\)
\(44\) 5.59224 5.40456i 0.843062 0.814768i
\(45\) 3.98718 + 6.37482i 0.594373 + 0.950302i
\(46\) 3.66436 + 1.55459i 0.540280 + 0.229212i
\(47\) 1.48461 8.41962i 0.216552 1.22813i −0.661641 0.749821i \(-0.730140\pi\)
0.878193 0.478307i \(-0.158749\pi\)
\(48\) −6.66170 1.90310i −0.961533 0.274689i
\(49\) 0.462463 + 0.168323i 0.0660661 + 0.0240461i
\(50\) −1.73339 + 0.530317i −0.245138 + 0.0749981i
\(51\) 7.34487 10.8942i 1.02849 1.52549i
\(52\) 2.46937 5.06794i 0.342440 0.702797i
\(53\) 11.8427i 1.62672i −0.581762 0.813359i \(-0.697637\pi\)
0.581762 0.813359i \(-0.302363\pi\)
\(54\) −5.19185 + 5.20045i −0.706521 + 0.707692i
\(55\) 9.74598 1.31415
\(56\) −2.34516 + 6.82372i −0.313385 + 0.911857i
\(57\) −0.591936 + 8.49088i −0.0784039 + 1.12464i
\(58\) 1.08274 + 3.53904i 0.142171 + 0.464698i
\(59\) 0.584688 1.60642i 0.0761199 0.209138i −0.895796 0.444465i \(-0.853394\pi\)
0.971916 + 0.235327i \(0.0756161\pi\)
\(60\) −4.34562 7.51644i −0.561017 0.970368i
\(61\) 0.343677 + 0.0605995i 0.0440033 + 0.00775897i 0.195606 0.980682i \(-0.437332\pi\)
−0.151603 + 0.988441i \(0.548444\pi\)
\(62\) 4.53664 + 1.92465i 0.576154 + 0.244431i
\(63\) 5.12336 + 5.68523i 0.645483 + 0.716272i
\(64\) 7.61132 + 2.46328i 0.951415 + 0.307911i
\(65\) 6.63875 2.41631i 0.823436 0.299706i
\(66\) 2.14640 + 9.27990i 0.264203 + 1.14228i
\(67\) −1.45040 1.72852i −0.177195 0.211173i 0.670135 0.742239i \(-0.266236\pi\)
−0.847330 + 0.531066i \(0.821792\pi\)
\(68\) −8.91282 + 12.2774i −1.08084 + 1.48886i
\(69\) −3.94342 + 2.86633i −0.474731 + 0.345066i
\(70\) −8.05588 + 4.10664i −0.962862 + 0.490838i
\(71\) −2.53118 4.38413i −0.300396 0.520301i 0.675830 0.737058i \(-0.263785\pi\)
−0.976226 + 0.216757i \(0.930452\pi\)
\(72\) 6.19993 5.79318i 0.730668 0.682733i
\(73\) 1.34818 2.33512i 0.157793 0.273305i −0.776280 0.630389i \(-0.782895\pi\)
0.934072 + 0.357083i \(0.116229\pi\)
\(74\) −0.588601 + 11.2730i −0.0684234 + 1.31046i
\(75\) 0.536633 2.15426i 0.0619650 0.248752i
\(76\) 1.02354 9.77477i 0.117408 1.12124i
\(77\) 9.76911 1.72256i 1.11329 0.196304i
\(78\) 3.76283 + 5.78912i 0.426057 + 0.655488i
\(79\) −0.652898 0.547847i −0.0734568 0.0616376i 0.605320 0.795982i \(-0.293045\pi\)
−0.678777 + 0.734345i \(0.737490\pi\)
\(80\) 4.71349 + 8.84824i 0.526985 + 0.989263i
\(81\) −2.18468 8.73082i −0.242742 0.970091i
\(82\) 1.73137 + 14.0783i 0.191198 + 1.55469i
\(83\) −5.59873 + 6.67230i −0.614540 + 0.732380i −0.980121 0.198399i \(-0.936426\pi\)
0.365581 + 0.930779i \(0.380870\pi\)
\(84\) −5.68443 6.76620i −0.620222 0.738253i
\(85\) −18.7237 + 3.30149i −2.03087 + 0.358096i
\(86\) 5.59336 + 1.29019i 0.603147 + 0.139124i
\(87\) −4.39832 1.09564i −0.471550 0.117465i
\(88\) −2.10487 10.7951i −0.224380 1.15076i
\(89\) 3.02691 5.24277i 0.320852 0.555732i −0.659812 0.751431i \(-0.729364\pi\)
0.980664 + 0.195698i \(0.0626974\pi\)
\(90\) 10.6320 + 0.179025i 1.12071 + 0.0188709i
\(91\) 6.22743 3.59541i 0.652812 0.376901i
\(92\) 4.66564 3.14965i 0.486427 0.328374i
\(93\) −4.88213 + 3.54865i −0.506253 + 0.367978i
\(94\) −8.84427 8.24421i −0.912217 0.850325i
\(95\) 9.43495 7.91686i 0.968006 0.812253i
\(96\) −7.38702 + 6.43677i −0.753934 + 0.656950i
\(97\) 4.71115 1.71472i 0.478344 0.174103i −0.0915842 0.995797i \(-0.529193\pi\)
0.569929 + 0.821694i \(0.306971\pi\)
\(98\) 0.555765 0.418968i 0.0561408 0.0423222i
\(99\) −11.0961 3.60017i −1.11520 0.361830i
\(100\) −0.705651 + 2.46450i −0.0705651 + 0.246450i
\(101\) −1.06482 0.187757i −0.105954 0.0186825i 0.120420 0.992723i \(-0.461576\pi\)
−0.226374 + 0.974041i \(0.572687\pi\)
\(102\) −7.26719 17.1011i −0.719559 1.69327i
\(103\) 10.4356 + 3.79825i 1.02825 + 0.374252i 0.800414 0.599447i \(-0.204613\pi\)
0.227836 + 0.973700i \(0.426835\pi\)
\(104\) −4.11021 6.83153i −0.403039 0.669887i
\(105\) 0.770176 11.0476i 0.0751615 1.07814i
\(106\) −14.0479 9.11894i −1.36445 0.885709i
\(107\) 12.1144i 1.17114i 0.810622 + 0.585570i \(0.199129\pi\)
−0.810622 + 0.585570i \(0.800871\pi\)
\(108\) 2.17107 + 10.1630i 0.208911 + 0.977935i
\(109\) 19.5560i 1.87312i −0.350502 0.936562i \(-0.613989\pi\)
0.350502 0.936562i \(-0.386011\pi\)
\(110\) 7.50446 11.5608i 0.715522 1.10228i
\(111\) −11.4634 7.72861i −1.08805 0.733567i
\(112\) 6.28857 + 8.03615i 0.594214 + 0.759344i
\(113\) −5.58697 2.03349i −0.525578 0.191295i 0.0655850 0.997847i \(-0.479109\pi\)
−0.591163 + 0.806552i \(0.701331\pi\)
\(114\) 9.61616 + 7.24019i 0.900636 + 0.678106i
\(115\) 6.94726 + 1.22499i 0.647835 + 0.114231i
\(116\) 5.03176 + 1.44072i 0.467187 + 0.133768i
\(117\) −8.45103 + 0.298694i −0.781298 + 0.0276143i
\(118\) −1.45533 1.93051i −0.133974 0.177718i
\(119\) −18.1846 + 6.61864i −1.66698 + 0.606730i
\(120\) −12.2622 0.632886i −1.11938 0.0577743i
\(121\) −3.15656 + 2.64867i −0.286960 + 0.240788i
\(122\) 0.336517 0.361010i 0.0304668 0.0326843i
\(123\) −15.8719 7.06259i −1.43112 0.636812i
\(124\) 5.77628 3.89941i 0.518725 0.350177i
\(125\) 8.07064 4.65959i 0.721860 0.416766i
\(126\) 10.6889 1.69971i 0.952242 0.151422i
\(127\) 6.21113 10.7580i 0.551148 0.954617i −0.447044 0.894512i \(-0.647523\pi\)
0.998192 0.0601050i \(-0.0191435\pi\)
\(128\) 8.78273 7.13187i 0.776291 0.630374i
\(129\) −4.88260 + 5.05822i −0.429889 + 0.445351i
\(130\) 2.24563 9.73551i 0.196955 0.853861i
\(131\) 0.306951 0.0541237i 0.0268184 0.00472881i −0.160223 0.987081i \(-0.551221\pi\)
0.187041 + 0.982352i \(0.440110\pi\)
\(132\) 12.6606 + 4.59951i 1.10197 + 0.400336i
\(133\) 8.05807 9.60324i 0.698724 0.832706i
\(134\) −3.16721 + 0.389507i −0.273605 + 0.0336483i
\(135\) −6.89432 + 11.0488i −0.593369 + 0.950930i
\(136\) 7.70069 + 20.0262i 0.660329 + 1.71723i
\(137\) 4.88568 + 4.09957i 0.417412 + 0.350250i 0.827177 0.561941i \(-0.189945\pi\)
−0.409766 + 0.912191i \(0.634390\pi\)
\(138\) 0.363615 + 6.88481i 0.0309530 + 0.586074i
\(139\) 5.04955 0.890371i 0.428297 0.0755203i 0.0446555 0.999002i \(-0.485781\pi\)
0.383641 + 0.923482i \(0.374670\pi\)
\(140\) −1.33174 + 12.7181i −0.112553 + 1.07488i
\(141\) 14.2337 4.08470i 1.19869 0.343994i
\(142\) −7.14952 0.373301i −0.599975 0.0313267i
\(143\) −5.48042 + 9.49237i −0.458296 + 0.793792i
\(144\) −2.09794 11.8152i −0.174828 0.984599i
\(145\) 3.27952 + 5.68030i 0.272350 + 0.471723i
\(146\) −1.73183 3.39728i −0.143327 0.281161i
\(147\) 0.0892810 + 0.847728i 0.00736377 + 0.0699194i
\(148\) 12.9189 + 9.37847i 1.06193 + 0.770905i
\(149\) 1.33347 + 1.58917i 0.109242 + 0.130190i 0.817895 0.575368i \(-0.195141\pi\)
−0.708653 + 0.705558i \(0.750697\pi\)
\(150\) −2.14219 2.29535i −0.174909 0.187414i
\(151\) −22.6819 + 8.25555i −1.84583 + 0.671827i −0.858572 + 0.512693i \(0.828648\pi\)
−0.987257 + 0.159134i \(0.949130\pi\)
\(152\) −10.8068 8.74076i −0.876546 0.708970i
\(153\) 22.5371 + 3.15767i 1.82202 + 0.255282i
\(154\) 5.47896 12.9146i 0.441507 1.04069i
\(155\) 8.60102 + 1.51659i 0.690851 + 0.121816i
\(156\) 9.76450 0.00584982i 0.781786 0.000468361i
\(157\) −2.97797 + 8.18190i −0.237668 + 0.652987i 0.762316 + 0.647206i \(0.224062\pi\)
−0.999983 + 0.00578127i \(0.998160\pi\)
\(158\) −1.15260 + 0.352628i −0.0916956 + 0.0280536i
\(159\) 18.4343 8.99582i 1.46193 0.713415i
\(160\) 14.1253 + 1.22201i 1.11670 + 0.0966081i
\(161\) 7.18026 0.565883
\(162\) −12.0388 4.13130i −0.945856 0.324585i
\(163\) 6.44084i 0.504485i −0.967664 0.252243i \(-0.918832\pi\)
0.967664 0.252243i \(-0.0811681\pi\)
\(164\) 18.0330 + 8.78664i 1.40814 + 0.686121i
\(165\) 7.40315 + 15.1706i 0.576334 + 1.18103i
\(166\) 3.60369 + 11.7790i 0.279701 + 0.914225i
\(167\) −13.4013 4.87768i −1.03703 0.377446i −0.233273 0.972411i \(-0.574944\pi\)
−0.803752 + 0.594965i \(0.797166\pi\)
\(168\) −12.4032 + 1.53290i −0.956926 + 0.118266i
\(169\) 0.877712 4.97775i 0.0675163 0.382904i
\(170\) −10.5011 + 24.7523i −0.805396 + 1.89842i
\(171\) −13.6665 + 5.52835i −1.04510 + 0.422764i
\(172\) 5.83735 5.64144i 0.445094 0.430156i
\(173\) 3.39321 + 9.32276i 0.257981 + 0.708796i 0.999292 + 0.0376343i \(0.0119822\pi\)
−0.741311 + 0.671162i \(0.765796\pi\)
\(174\) −4.68639 + 4.37368i −0.355274 + 0.331568i
\(175\) −2.50486 + 2.10182i −0.189349 + 0.158883i
\(176\) −14.4260 5.81548i −1.08740 0.438358i
\(177\) 2.94468 0.310127i 0.221335 0.0233106i
\(178\) −3.88828 7.62752i −0.291439 0.571706i
\(179\) −8.28116 + 4.78113i −0.618963 + 0.357359i −0.776465 0.630160i \(-0.782989\pi\)
0.157502 + 0.987519i \(0.449656\pi\)
\(180\) 8.39908 12.4739i 0.626030 0.929753i
\(181\) −4.60888 2.66094i −0.342575 0.197786i 0.318835 0.947810i \(-0.396708\pi\)
−0.661410 + 0.750024i \(0.730042\pi\)
\(182\) 0.530254 10.1555i 0.0393051 0.752778i
\(183\) 0.166731 + 0.580998i 0.0123251 + 0.0429486i
\(184\) −0.143567 7.95967i −0.0105839 0.586795i
\(185\) 3.47397 + 19.7019i 0.255411 + 1.44851i
\(186\) 0.450172 + 8.52370i 0.0330082 + 0.624988i
\(187\) 18.9605 22.5963i 1.38653 1.65240i
\(188\) −16.5895 + 4.14306i −1.20991 + 0.302164i
\(189\) −4.95786 + 12.2936i −0.360631 + 0.894225i
\(190\) −2.12608 17.2879i −0.154242 1.25419i
\(191\) 3.17518 + 2.66429i 0.229748 + 0.192781i 0.750393 0.660992i \(-0.229864\pi\)
−0.520645 + 0.853773i \(0.674309\pi\)
\(192\) 1.94730 + 13.7189i 0.140534 + 0.990076i
\(193\) −3.12735 17.7361i −0.225112 1.27667i −0.862472 0.506106i \(-0.831085\pi\)
0.637360 0.770566i \(-0.280027\pi\)
\(194\) 1.59360 6.90874i 0.114414 0.496019i
\(195\) 8.80408 + 8.49840i 0.630473 + 0.608583i
\(196\) −0.0690410 0.981861i −0.00493150 0.0701329i
\(197\) −13.4165 7.74604i −0.955888 0.551882i −0.0609831 0.998139i \(-0.519424\pi\)
−0.894905 + 0.446256i \(0.852757\pi\)
\(198\) −12.8146 + 10.3902i −0.910697 + 0.738398i
\(199\) −8.79403 15.2317i −0.623392 1.07975i −0.988849 0.148919i \(-0.952421\pi\)
0.365457 0.930828i \(-0.380913\pi\)
\(200\) 2.38006 + 2.73473i 0.168296 + 0.193375i
\(201\) 1.58887 3.57070i 0.112070 0.251857i
\(202\) −1.04264 + 1.11853i −0.0733597 + 0.0786993i
\(203\) 4.29127 + 5.11414i 0.301188 + 0.358942i
\(204\) −25.8813 4.54759i −1.81205 0.318395i
\(205\) 8.59783 + 23.6223i 0.600499 + 1.64986i
\(206\) 12.5410 9.45412i 0.873772 0.658700i
\(207\) −7.45718 3.96101i −0.518310 0.275309i
\(208\) −11.2685 0.384757i −0.781331 0.0266781i
\(209\) −3.31818 + 18.8183i −0.229523 + 1.30169i
\(210\) −12.5117 9.42031i −0.863390 0.650063i
\(211\) −8.41203 + 23.1119i −0.579108 + 1.59109i 0.210579 + 0.977577i \(0.432465\pi\)
−0.789687 + 0.613510i \(0.789757\pi\)
\(212\) −21.6339 + 9.64209i −1.48582 + 0.662222i
\(213\) 4.90162 7.27026i 0.335853 0.498150i
\(214\) 14.3702 + 9.32813i 0.982324 + 0.637658i
\(215\) 10.1731 0.693803
\(216\) 13.7272 + 5.25023i 0.934015 + 0.357233i
\(217\) 8.88949 0.603458
\(218\) −23.1975 15.0582i −1.57113 1.01987i
\(219\) 4.65894 + 0.324795i 0.314822 + 0.0219476i
\(220\) −7.93500 17.8037i −0.534977 1.20033i
\(221\) 7.31323 20.0929i 0.491941 1.35160i
\(222\) −17.9946 + 7.64686i −1.20772 + 0.513224i
\(223\) −2.95087 + 16.7352i −0.197605 + 1.12067i 0.711055 + 0.703136i \(0.248218\pi\)
−0.908660 + 0.417537i \(0.862893\pi\)
\(224\) 14.3748 1.27167i 0.960455 0.0849671i
\(225\) 3.76094 0.801074i 0.250729 0.0534050i
\(226\) −6.71414 + 5.06151i −0.446618 + 0.336687i
\(227\) 3.04973 + 8.37907i 0.202418 + 0.556138i 0.998817 0.0486333i \(-0.0154866\pi\)
−0.796399 + 0.604772i \(0.793264\pi\)
\(228\) 15.9929 5.83178i 1.05915 0.386219i
\(229\) 1.06473 + 1.26890i 0.0703594 + 0.0838511i 0.800076 0.599899i \(-0.204792\pi\)
−0.729717 + 0.683750i \(0.760348\pi\)
\(230\) 6.80252 7.29765i 0.448545 0.481193i
\(231\) 10.1020 + 13.8981i 0.664666 + 0.914427i
\(232\) 5.58348 4.85935i 0.366573 0.319032i
\(233\) −7.11806 12.3288i −0.466320 0.807689i 0.532940 0.846153i \(-0.321087\pi\)
−0.999260 + 0.0384635i \(0.987754\pi\)
\(234\) −6.15303 + 10.2547i −0.402236 + 0.670369i
\(235\) −18.5572 10.7140i −1.21054 0.698905i
\(236\) −3.41060 + 0.239821i −0.222011 + 0.0156110i
\(237\) 0.356828 1.43245i 0.0231785 0.0930475i
\(238\) −6.15114 + 26.6671i −0.398719 + 1.72857i
\(239\) 3.00714 + 17.0544i 0.194516 + 1.10316i 0.913106 + 0.407722i \(0.133677\pi\)
−0.718590 + 0.695434i \(0.755212\pi\)
\(240\) −10.1927 + 14.0582i −0.657937 + 0.907454i
\(241\) 16.9856 + 14.2526i 1.09414 + 0.918090i 0.997017 0.0771832i \(-0.0245926\pi\)
0.0971195 + 0.995273i \(0.469037\pi\)
\(242\) 0.711304 + 5.78384i 0.0457244 + 0.371799i
\(243\) 11.9309 10.0327i 0.765365 0.643597i
\(244\) −0.169114 0.677159i −0.0108264 0.0433507i
\(245\) 0.792866 0.944900i 0.0506543 0.0603675i
\(246\) −20.5991 + 13.3891i −1.31335 + 0.853658i
\(247\) 2.40533 + 13.6413i 0.153047 + 0.867975i
\(248\) −0.177743 9.85444i −0.0112867 0.625758i
\(249\) −14.6389 3.64661i −0.927705 0.231094i
\(250\) 0.687200 13.1614i 0.0434623 0.832398i
\(251\) −5.87413 3.39143i −0.370772 0.214065i 0.303024 0.952983i \(-0.402004\pi\)
−0.673796 + 0.738918i \(0.735337\pi\)
\(252\) 6.21430 13.9880i 0.391464 0.881164i
\(253\) −9.47842 + 5.47237i −0.595903 + 0.344045i
\(254\) −7.97861 15.6514i −0.500623 0.982057i
\(255\) −19.3618 26.6373i −1.21248 1.66809i
\(256\) −1.69713 15.9097i −0.106071 0.994359i
\(257\) 17.7134 14.8633i 1.10493 0.927148i 0.107185 0.994239i \(-0.465816\pi\)
0.997747 + 0.0670910i \(0.0213718\pi\)
\(258\) 2.24047 + 9.68664i 0.139486 + 0.603064i
\(259\) 6.96443 + 19.1346i 0.432749 + 1.18897i
\(260\) −9.81920 10.1602i −0.608961 0.630108i
\(261\) −1.63555 7.67867i −0.101238 0.475298i
\(262\) 0.172152 0.405783i 0.0106356 0.0250694i
\(263\) 0.367614 2.08484i 0.0226680 0.128557i −0.971374 0.237556i \(-0.923654\pi\)
0.994042 + 0.108999i \(0.0347647\pi\)
\(264\) 15.2047 11.4765i 0.935787 0.706330i
\(265\) −27.8918 10.1518i −1.71338 0.623620i
\(266\) −5.18668 16.9531i −0.318016 1.03946i
\(267\) 10.4602 + 0.729223i 0.640151 + 0.0446277i
\(268\) −1.97673 + 4.05689i −0.120748 + 0.247814i
\(269\) 25.6896i 1.56632i 0.621820 + 0.783161i \(0.286394\pi\)
−0.621820 + 0.783161i \(0.713606\pi\)
\(270\) 7.79752 + 16.6857i 0.474542 + 1.01546i
\(271\) −27.3036 −1.65857 −0.829287 0.558823i \(-0.811253\pi\)
−0.829287 + 0.558823i \(0.811253\pi\)
\(272\) 29.6848 + 6.28564i 1.79991 + 0.381123i
\(273\) 10.3270 + 6.96249i 0.625020 + 0.421389i
\(274\) 8.62495 2.63874i 0.521052 0.159412i
\(275\) 1.70469 4.68360i 0.102797 0.282432i
\(276\) 8.44680 + 4.87002i 0.508438 + 0.293141i
\(277\) −16.2093 2.85814i −0.973923 0.171729i −0.336028 0.941852i \(-0.609084\pi\)
−0.637895 + 0.770123i \(0.720195\pi\)
\(278\) 2.83201 6.67540i 0.169853 0.400364i
\(279\) −9.23233 4.90391i −0.552725 0.293590i
\(280\) 14.0609 + 11.3727i 0.840297 + 0.679651i
\(281\) 27.1438 9.87955i 1.61927 0.589364i 0.636023 0.771670i \(-0.280578\pi\)
0.983242 + 0.182305i \(0.0583560\pi\)
\(282\) 6.11471 20.0293i 0.364126 1.19273i
\(283\) 2.37158 + 2.82634i 0.140976 + 0.168009i 0.831913 0.554907i \(-0.187246\pi\)
−0.690937 + 0.722915i \(0.742802\pi\)
\(284\) −5.94799 + 8.19338i −0.352948 + 0.486188i
\(285\) 19.4902 + 8.67268i 1.15450 + 0.513725i
\(286\) 7.03997 + 13.8101i 0.416282 + 0.816609i
\(287\) 12.7934 + 22.1588i 0.755169 + 1.30799i
\(288\) −15.6307 6.60918i −0.921048 0.389449i
\(289\) −20.2718 + 35.1117i −1.19246 + 2.06540i
\(290\) 9.26327 + 0.483667i 0.543958 + 0.0284019i
\(291\) 6.24776 + 6.03084i 0.366250 + 0.353534i
\(292\) −5.36341 0.561615i −0.313870 0.0328660i
\(293\) −12.6127 + 2.22395i −0.736840 + 0.129925i −0.529459 0.848336i \(-0.677605\pi\)
−0.207381 + 0.978260i \(0.566494\pi\)
\(294\) 1.07433 + 0.546850i 0.0626561 + 0.0318929i
\(295\) −3.28222 2.75411i −0.191098 0.160350i
\(296\) 21.0724 8.10301i 1.22481 0.470978i
\(297\) −2.82473 20.0069i −0.163907 1.16092i
\(298\) 2.91186 0.358105i 0.168680 0.0207445i
\(299\) −5.09974 + 6.07763i −0.294926 + 0.351479i
\(300\) −4.37226 + 0.773648i −0.252432 + 0.0446666i
\(301\) 10.1973 1.79806i 0.587762 0.103638i
\(302\) −7.67242 + 33.2623i −0.441498 + 1.91403i
\(303\) −0.516588 1.80012i −0.0296772 0.103414i
\(304\) −18.6897 + 6.08867i −1.07193 + 0.349209i
\(305\) 0.437330 0.757478i 0.0250415 0.0433731i
\(306\) 21.0994 24.3023i 1.20617 1.38927i
\(307\) 16.6782 9.62914i 0.951873 0.549564i 0.0582108 0.998304i \(-0.481460\pi\)
0.893662 + 0.448740i \(0.148127\pi\)
\(308\) −11.1006 16.4435i −0.632513 0.936955i
\(309\) 2.01465 + 19.1292i 0.114609 + 1.08822i
\(310\) 8.42183 9.03482i 0.478328 0.513143i
\(311\) 24.4635 20.5273i 1.38720 1.16400i 0.420740 0.907181i \(-0.361770\pi\)
0.966460 0.256818i \(-0.0826740\pi\)
\(312\) 7.51179 11.5872i 0.425271 0.655998i
\(313\) 5.47887 1.99414i 0.309684 0.112716i −0.182503 0.983205i \(-0.558420\pi\)
0.492187 + 0.870490i \(0.336198\pi\)
\(314\) 7.41239 + 9.83261i 0.418305 + 0.554886i
\(315\) 17.7817 7.19301i 1.00188 0.405280i
\(316\) −0.469215 + 1.63874i −0.0263954 + 0.0921866i
\(317\) 10.5865 + 1.86668i 0.594595 + 0.104843i 0.462844 0.886440i \(-0.346829\pi\)
0.131751 + 0.991283i \(0.457940\pi\)
\(318\) 3.52358 28.7937i 0.197593 1.61467i
\(319\) −9.56247 3.48045i −0.535395 0.194868i
\(320\) 12.3261 15.8146i 0.689050 0.884061i
\(321\) −18.8572 + 9.20220i −1.05251 + 0.513616i
\(322\) 5.52884 8.51728i 0.308110 0.474650i
\(323\) 37.2772i 2.07416i
\(324\) −14.1705 + 11.0994i −0.787251 + 0.616633i
\(325\) 3.61301i 0.200414i
\(326\) −7.64017 4.95948i −0.423150 0.274680i
\(327\) 30.4408 14.8549i 1.68338 0.821479i
\(328\) 24.3083 14.6252i 1.34220 0.807539i
\(329\) −20.4949 7.45953i −1.12992 0.411257i
\(330\) 23.6959 + 2.89975i 1.30442 + 0.159626i
\(331\) −17.6652 3.11484i −0.970965 0.171207i −0.334400 0.942431i \(-0.608534\pi\)
−0.636564 + 0.771224i \(0.719645\pi\)
\(332\) 16.7472 + 4.79515i 0.919121 + 0.263168i
\(333\) 3.32264 23.7145i 0.182079 1.29955i
\(334\) −16.1050 + 12.1409i −0.881229 + 0.664321i
\(335\) −5.31432 + 1.93426i −0.290353 + 0.105680i
\(336\) −7.73218 + 15.8931i −0.421825 + 0.867040i
\(337\) 1.36202 1.14287i 0.0741941 0.0622562i −0.604936 0.796274i \(-0.706801\pi\)
0.679130 + 0.734018i \(0.262357\pi\)
\(338\) −5.22881 4.87405i −0.284410 0.265113i
\(339\) −1.07859 10.2413i −0.0585812 0.556232i
\(340\) 21.2755 + 31.5159i 1.15383 + 1.70919i
\(341\) −11.7347 + 6.77505i −0.635471 + 0.366889i
\(342\) −3.96552 + 20.4682i −0.214431 + 1.10679i
\(343\) 9.55642 16.5522i 0.515998 0.893735i
\(344\) −2.19713 11.2683i −0.118461 0.607543i
\(345\) 3.37039 + 11.7446i 0.181456 + 0.632307i
\(346\) 13.6715 + 3.15353i 0.734986 + 0.169535i
\(347\) 3.34069 0.589055i 0.179338 0.0316221i −0.0832579 0.996528i \(-0.526533\pi\)
0.262596 + 0.964906i \(0.415421\pi\)
\(348\) 1.57955 + 8.92680i 0.0846728 + 0.478527i
\(349\) 1.19141 1.41987i 0.0637747 0.0760038i −0.733214 0.679998i \(-0.761981\pi\)
0.796989 + 0.603994i \(0.206425\pi\)
\(350\) 0.564447 + 4.58970i 0.0301710 + 0.245330i
\(351\) −6.88443 12.9280i −0.367464 0.690043i
\(352\) −18.0065 + 12.6343i −0.959749 + 0.673411i
\(353\) −10.5282 8.83425i −0.560362 0.470200i 0.318070 0.948067i \(-0.396965\pi\)
−0.878432 + 0.477868i \(0.841410\pi\)
\(354\) 1.89954 3.73180i 0.100960 0.198343i
\(355\) −12.4953 + 2.20325i −0.663180 + 0.116937i
\(356\) −12.0418 1.26093i −0.638215 0.0668290i
\(357\) −24.1157 23.2784i −1.27634 1.23203i
\(358\) −0.705126 + 13.5047i −0.0372670 + 0.713745i
\(359\) −5.37668 + 9.31267i −0.283770 + 0.491504i −0.972310 0.233694i \(-0.924919\pi\)
0.688540 + 0.725198i \(0.258252\pi\)
\(360\) −8.32935 19.5681i −0.438996 1.03133i
\(361\) 2.57423 + 4.45870i 0.135486 + 0.234668i
\(362\) −6.70529 + 3.41815i −0.352422 + 0.179654i
\(363\) −6.52067 2.90154i −0.342247 0.152291i
\(364\) −11.6383 8.44881i −0.610011 0.442838i
\(365\) −4.34397 5.17695i −0.227374 0.270974i
\(366\) 0.817569 + 0.249594i 0.0427350 + 0.0130465i
\(367\) −10.2024 + 3.71337i −0.532562 + 0.193837i −0.594282 0.804257i \(-0.702564\pi\)
0.0617202 + 0.998093i \(0.480341\pi\)
\(368\) −9.55238 5.95870i −0.497952 0.310619i
\(369\) −1.06283 30.0709i −0.0553286 1.56543i
\(370\) 26.0455 + 11.0497i 1.35404 + 0.574447i
\(371\) −29.7523 5.24613i −1.54466 0.272366i
\(372\) 10.4575 + 6.02931i 0.542198 + 0.312605i
\(373\) 7.89812 21.6999i 0.408949 1.12358i −0.548795 0.835957i \(-0.684913\pi\)
0.957744 0.287621i \(-0.0928645\pi\)
\(374\) −12.2042 39.8904i −0.631063 2.06268i
\(375\) 13.3836 + 9.02326i 0.691128 + 0.465959i
\(376\) −7.85948 + 22.8688i −0.405322 + 1.17937i
\(377\) −7.37665 −0.379917
\(378\) 10.7652 + 15.3472i 0.553700 + 0.789373i
\(379\) 19.1947i 0.985963i 0.870040 + 0.492982i \(0.164093\pi\)
−0.870040 + 0.492982i \(0.835907\pi\)
\(380\) −22.1441 10.7898i −1.13597 0.553504i
\(381\) 21.4639 + 1.49634i 1.09963 + 0.0766599i
\(382\) 5.60531 1.71490i 0.286792 0.0877421i
\(383\) 23.4828 + 8.54705i 1.19992 + 0.436734i 0.863195 0.504870i \(-0.168460\pi\)
0.336722 + 0.941604i \(0.390682\pi\)
\(384\) 17.7729 + 8.25373i 0.906969 + 0.421196i
\(385\) 4.31733 24.4848i 0.220031 1.24786i
\(386\) −23.4468 9.94721i −1.19341 0.506299i
\(387\) −11.5825 3.75796i −0.588770 0.191028i
\(388\) −6.96813 7.21012i −0.353753 0.366038i
\(389\) 0.272464 + 0.748588i 0.0138145 + 0.0379549i 0.946408 0.322973i \(-0.104682\pi\)
−0.932594 + 0.360928i \(0.882460\pi\)
\(390\) 16.8601 3.89965i 0.853743 0.197467i
\(391\) 16.3559 13.7242i 0.827151 0.694062i
\(392\) −1.21785 0.674142i −0.0615109 0.0340493i
\(393\) 0.317412 + 0.436685i 0.0160113 + 0.0220279i
\(394\) −19.5192 + 9.95031i −0.983364 + 0.501289i
\(395\) −1.84996 + 1.06808i −0.0930817 + 0.0537408i
\(396\) 2.45757 + 23.2013i 0.123498 + 1.16591i
\(397\) 26.8054 + 15.4761i 1.34532 + 0.776723i 0.987583 0.157099i \(-0.0502141\pi\)
0.357740 + 0.933821i \(0.383547\pi\)
\(398\) −24.8394 1.29695i −1.24509 0.0650103i
\(399\) 21.0694 + 5.24845i 1.05479 + 0.262751i
\(400\) 5.07662 0.717488i 0.253831 0.0358744i
\(401\) 5.68481 + 32.2401i 0.283886 + 1.61000i 0.709239 + 0.704968i \(0.249039\pi\)
−0.425353 + 0.905028i \(0.639850\pi\)
\(402\) −3.01215 4.63419i −0.150232 0.231132i
\(403\) −6.31371 + 7.52439i −0.314508 + 0.374816i
\(404\) 0.523969 + 2.09806i 0.0260684 + 0.104382i
\(405\) −22.4355 2.33889i −1.11483 0.116220i
\(406\) 9.37074 1.15243i 0.465062 0.0571940i
\(407\) −23.7768 19.9511i −1.17857 0.988940i
\(408\) −25.3231 + 27.1990i −1.25368 + 1.34655i
\(409\) 0.478133 + 2.71163i 0.0236422 + 0.134081i 0.994344 0.106205i \(-0.0338699\pi\)
−0.970702 + 0.240286i \(0.922759\pi\)
\(410\) 34.6414 + 7.99053i 1.71082 + 0.394624i
\(411\) −2.67017 + 10.7191i −0.131710 + 0.528735i
\(412\) −1.55793 22.1560i −0.0767536 1.09155i
\(413\) −3.77678 2.18053i −0.185843 0.107297i
\(414\) −10.4407 + 5.79577i −0.513130 + 0.284847i
\(415\) 10.9152 + 18.9057i 0.535807 + 0.928046i
\(416\) −9.13322 + 13.0705i −0.447793 + 0.640836i
\(417\) 5.22163 + 7.18377i 0.255705 + 0.351791i
\(418\) 19.7674 + 18.4263i 0.966857 + 0.901258i
\(419\) 16.1377 + 19.2321i 0.788376 + 0.939551i 0.999279 0.0379565i \(-0.0120848\pi\)
−0.210903 + 0.977507i \(0.567640\pi\)
\(420\) −20.8085 + 7.58781i −1.01535 + 0.370247i
\(421\) −2.33021 6.40219i −0.113567 0.312024i 0.869868 0.493285i \(-0.164204\pi\)
−0.983435 + 0.181262i \(0.941982\pi\)
\(422\) 20.9382 + 27.7747i 1.01925 + 1.35205i
\(423\) 17.1703 + 19.0533i 0.834847 + 0.926404i
\(424\) −5.22071 + 33.0868i −0.253540 + 1.60684i
\(425\) −1.68841 + 9.57545i −0.0819000 + 0.464478i
\(426\) −4.84977 11.4125i −0.234972 0.552937i
\(427\) 0.304487 0.836572i 0.0147352 0.0404846i
\(428\) 22.1302 9.86329i 1.06970 0.476760i
\(429\) −18.9388 1.32031i −0.914373 0.0637449i
\(430\) 7.83338 12.0675i 0.377759 0.581945i
\(431\) 2.93816 0.141526 0.0707631 0.997493i \(-0.477457\pi\)
0.0707631 + 0.997493i \(0.477457\pi\)
\(432\) 16.7979 12.2406i 0.808188 0.588925i
\(433\) −31.2403 −1.50131 −0.750656 0.660694i \(-0.770262\pi\)
−0.750656 + 0.660694i \(0.770262\pi\)
\(434\) 6.84496 10.5448i 0.328568 0.506166i
\(435\) −6.35078 + 9.41971i −0.304496 + 0.451640i
\(436\) −35.7244 + 15.9221i −1.71089 + 0.762531i
\(437\) −4.73061 + 12.9972i −0.226296 + 0.621743i
\(438\) 3.97268 5.27637i 0.189822 0.252115i
\(439\) 1.21855 6.91073i 0.0581581 0.329831i −0.941822 0.336112i \(-0.890888\pi\)
0.999980 + 0.00628055i \(0.00199917\pi\)
\(440\) −27.2289 4.29641i −1.29809 0.204823i
\(441\) −1.25175 + 0.782917i −0.0596072 + 0.0372818i
\(442\) −18.2032 24.1467i −0.865837 1.14854i
\(443\) −7.15814 19.6668i −0.340093 0.934399i −0.985367 0.170447i \(-0.945479\pi\)
0.645273 0.763952i \(-0.276743\pi\)
\(444\) −4.78517 + 27.2335i −0.227094 + 1.29244i
\(445\) −9.75301 11.6232i −0.462337 0.550992i
\(446\) 17.5793 + 16.3866i 0.832403 + 0.775926i
\(447\) −1.46077 + 3.28282i −0.0690923 + 0.155272i
\(448\) 9.56020 18.0307i 0.451677 0.851870i
\(449\) 7.57475 + 13.1198i 0.357474 + 0.619164i 0.987538 0.157380i \(-0.0503046\pi\)
−0.630064 + 0.776543i \(0.716971\pi\)
\(450\) 1.94570 5.07809i 0.0917214 0.239383i
\(451\) −33.7763 19.5007i −1.59046 0.918253i
\(452\) 0.834077 + 11.8618i 0.0392317 + 0.557930i
\(453\) −30.0800 29.0356i −1.41328 1.36421i
\(454\) 12.2876 + 2.83432i 0.576687 + 0.133021i
\(455\) −3.12961 17.7489i −0.146718 0.832080i
\(456\) 5.39690 23.4614i 0.252733 1.09868i
\(457\) 0.729228 + 0.611895i 0.0341118 + 0.0286232i 0.659684 0.751543i \(-0.270690\pi\)
−0.625572 + 0.780166i \(0.715134\pi\)
\(458\) 2.32503 0.285935i 0.108641 0.0133609i
\(459\) 12.2042 + 37.4798i 0.569643 + 1.74941i
\(460\) −3.41855 13.6884i −0.159391 0.638227i
\(461\) 2.82485 3.36653i 0.131567 0.156795i −0.696239 0.717810i \(-0.745145\pi\)
0.827806 + 0.561015i \(0.189589\pi\)
\(462\) 24.2647 1.28152i 1.12889 0.0596216i
\(463\) −0.0157534 0.0893420i −0.000732123 0.00415207i 0.984440 0.175724i \(-0.0562266\pi\)
−0.985172 + 0.171572i \(0.945115\pi\)
\(464\) −1.46489 10.3649i −0.0680057 0.481178i
\(465\) 4.17270 + 14.5403i 0.193504 + 0.674292i
\(466\) −20.1055 1.04978i −0.931370 0.0486300i
\(467\) 8.84291 + 5.10545i 0.409201 + 0.236252i 0.690446 0.723384i \(-0.257414\pi\)
−0.281245 + 0.959636i \(0.590748\pi\)
\(468\) 7.42632 + 15.1949i 0.343282 + 0.702387i
\(469\) −4.98507 + 2.87813i −0.230189 + 0.132900i
\(470\) −26.9982 + 13.7629i −1.24533 + 0.634834i
\(471\) −14.9980 + 1.57956i −0.691072 + 0.0727823i
\(472\) −2.34171 + 4.23035i −0.107786 + 0.194718i
\(473\) −12.0907 + 10.1453i −0.555933 + 0.466483i
\(474\) −1.42442 1.52627i −0.0654259 0.0701037i
\(475\) −2.15430 5.91889i −0.0988460 0.271577i
\(476\) 26.8963 + 27.8303i 1.23279 + 1.27560i
\(477\) 28.0057 + 21.8614i 1.28229 + 1.00097i
\(478\) 22.5456 + 9.56486i 1.03121 + 0.437487i
\(479\) 0.385466 2.18609i 0.0176124 0.0998848i −0.974734 0.223367i \(-0.928295\pi\)
0.992347 + 0.123482i \(0.0394062\pi\)
\(480\) 8.82753 + 22.9156i 0.402920 + 1.04595i
\(481\) −21.1427 7.69531i −0.964024 0.350876i
\(482\) 29.9855 9.17385i 1.36580 0.417857i
\(483\) 5.45420 + 11.1768i 0.248175 + 0.508560i
\(484\) 7.40855 + 3.60983i 0.336752 + 0.164083i
\(485\) 12.5656i 0.570573i
\(486\) −2.71403 21.8777i −0.123111 0.992393i
\(487\) 41.4817 1.87971 0.939857 0.341569i \(-0.110958\pi\)
0.939857 + 0.341569i \(0.110958\pi\)
\(488\) −0.933470 0.320812i −0.0422562 0.0145225i
\(489\) 10.0258 4.89252i 0.453382 0.221248i
\(490\) −0.510338 1.66808i −0.0230547 0.0753563i
\(491\) 1.96933 5.41068i 0.0888745 0.244181i −0.887290 0.461211i \(-0.847415\pi\)
0.976165 + 0.217031i \(0.0696372\pi\)
\(492\) 0.0208152 + 34.7446i 0.000938420 + 1.56641i
\(493\) 19.5501 + 3.44721i 0.880493 + 0.155255i
\(494\) 18.0335 + 7.65066i 0.811367 + 0.344219i
\(495\) −17.9909 + 23.0474i −0.808632 + 1.03590i
\(496\) −11.8263 7.37714i −0.531016 0.331243i
\(497\) −12.1355 + 4.41696i −0.544352 + 0.198128i
\(498\) −15.5977 + 14.5569i −0.698950 + 0.652311i
\(499\) −8.64536 10.3031i −0.387019 0.461232i 0.536997 0.843584i \(-0.319559\pi\)
−0.924017 + 0.382352i \(0.875114\pi\)
\(500\) −15.0830 10.9495i −0.674532 0.489676i
\(501\) −2.58720 24.5656i −0.115587 1.09751i
\(502\) −8.54606 + 4.35652i −0.381429 + 0.194441i
\(503\) 9.82946 + 17.0251i 0.438274 + 0.759113i 0.997557 0.0698643i \(-0.0222566\pi\)
−0.559282 + 0.828977i \(0.688923\pi\)
\(504\) −11.8077 18.1423i −0.525956 0.808124i
\(505\) −1.35499 + 2.34691i −0.0602963 + 0.104436i
\(506\) −0.807070 + 15.4571i −0.0358786 + 0.687154i
\(507\) 8.41507 2.41491i 0.373726 0.107250i
\(508\) −24.7094 2.58738i −1.09630 0.114796i
\(509\) −8.99761 + 1.58652i −0.398812 + 0.0703213i −0.369457 0.929248i \(-0.620456\pi\)
−0.0293547 + 0.999569i \(0.509345\pi\)
\(510\) −46.5061 + 2.45618i −2.05932 + 0.108761i
\(511\) −5.26929 4.42146i −0.233100 0.195594i
\(512\) −20.1791 10.2374i −0.891797 0.452435i
\(513\) −18.9866 17.0738i −0.838280 0.753829i
\(514\) −3.99156 32.4566i −0.176060 1.43160i
\(515\) 17.8912 21.3219i 0.788381 0.939556i
\(516\) 13.2155 + 4.80110i 0.581782 + 0.211357i
\(517\) 32.7399 5.77292i 1.43990 0.253893i
\(518\) 28.0603 + 6.47250i 1.23290 + 0.284385i
\(519\) −11.9343 + 12.3635i −0.523856 + 0.542698i
\(520\) −19.6129 + 3.82421i −0.860085 + 0.167703i
\(521\) 13.8130 23.9247i 0.605157 1.04816i −0.386870 0.922134i \(-0.626444\pi\)
0.992027 0.126028i \(-0.0402229\pi\)
\(522\) −10.3679 3.97253i −0.453790 0.173873i
\(523\) 2.64626 1.52782i 0.115713 0.0668068i −0.441027 0.897494i \(-0.645386\pi\)
0.556739 + 0.830687i \(0.312052\pi\)
\(524\) −0.348785 0.516663i −0.0152368 0.0225705i
\(525\) −5.17440 2.30248i −0.225830 0.100489i
\(526\) −2.18999 2.04141i −0.0954882 0.0890096i
\(527\) 20.2493 16.9912i 0.882073 0.740147i
\(528\) −1.90579 26.8730i −0.0829389 1.16950i
\(529\) 14.1686 5.15694i 0.616025 0.224215i
\(530\) −33.5190 + 25.2686i −1.45597 + 1.09760i
\(531\) 2.71955 + 4.34810i 0.118018 + 0.188691i
\(532\) −24.1037 6.90151i −1.04503 0.299218i
\(533\) −27.8424 4.90937i −1.20599 0.212649i
\(534\) 8.91939 11.8464i 0.385980 0.512644i
\(535\) 28.5317 + 10.3847i 1.23353 + 0.448969i
\(536\) 3.29022 + 5.46865i 0.142116 + 0.236210i
\(537\) −13.7327 9.25863i −0.592612 0.399539i
\(538\) 30.4732 + 19.7811i 1.31379 + 0.852825i
\(539\) 1.91371i 0.0824292i
\(540\) 25.7969 + 3.59864i 1.11012 + 0.154861i
\(541\) 12.4110i 0.533592i −0.963753 0.266796i \(-0.914035\pi\)
0.963753 0.266796i \(-0.0859650\pi\)
\(542\) −21.0239 + 32.3877i −0.903054 + 1.39117i
\(543\) 0.641054 9.19544i 0.0275103 0.394614i
\(544\) 30.3136 30.3724i 1.29968 1.30220i
\(545\) −46.0581 16.7638i −1.97291 0.718082i
\(546\) 16.2108 6.88885i 0.693760 0.294815i
\(547\) 0.791575 + 0.139576i 0.0338453 + 0.00596784i 0.190545 0.981678i \(-0.438974\pi\)
−0.156700 + 0.987646i \(0.550086\pi\)
\(548\) 3.51117 12.2628i 0.149990 0.523842i
\(549\) −0.777728 + 0.700865i −0.0331926 + 0.0299122i
\(550\) −4.24311 5.62852i −0.180927 0.240001i
\(551\) −12.0845 + 4.39841i −0.514819 + 0.187379i
\(552\) 12.2809 6.26973i 0.522712 0.266857i
\(553\) −1.66558 + 1.39758i −0.0708275 + 0.0594313i
\(554\) −15.8716 + 17.0268i −0.674320 + 0.723401i
\(555\) −28.0290 + 20.3733i −1.18976 + 0.864799i
\(556\) −5.73775 8.49946i −0.243335 0.360457i
\(557\) −15.6214 + 9.01902i −0.661900 + 0.382148i −0.793000 0.609221i \(-0.791482\pi\)
0.131101 + 0.991369i \(0.458149\pi\)
\(558\) −12.9260 + 7.17543i −0.547202 + 0.303760i
\(559\) −5.72063 + 9.90842i −0.241957 + 0.419081i
\(560\) 24.3174 7.92205i 1.02760 0.334768i
\(561\) 49.5759 + 12.3495i 2.09310 + 0.521397i
\(562\) 9.18171 39.8056i 0.387307 1.67910i
\(563\) 20.6986 3.64973i 0.872344 0.153818i 0.280484 0.959859i \(-0.409505\pi\)
0.591860 + 0.806041i \(0.298394\pi\)
\(564\) −19.0506 22.6760i −0.802176 0.954833i
\(565\) −9.57853 + 11.4152i −0.402972 + 0.480243i
\(566\) 5.17876 0.636891i 0.217680 0.0267705i
\(567\) −22.9022 + 1.62094i −0.961800 + 0.0680729i
\(568\) 5.13907 + 13.3645i 0.215631 + 0.560762i
\(569\) 18.1237 + 15.2076i 0.759785 + 0.637535i 0.938071 0.346444i \(-0.112611\pi\)
−0.178286 + 0.983979i \(0.557055\pi\)
\(570\) 25.2952 16.4415i 1.05950 0.688658i
\(571\) −3.45440 + 0.609103i −0.144562 + 0.0254902i −0.245461 0.969407i \(-0.578939\pi\)
0.100899 + 0.994897i \(0.467828\pi\)
\(572\) 21.8025 + 2.28299i 0.911608 + 0.0954565i
\(573\) −1.73533 + 6.96629i −0.0724943 + 0.291021i
\(574\) 36.1359 + 1.88678i 1.50828 + 0.0787526i
\(575\) 1.80385 3.12436i 0.0752258 0.130295i
\(576\) −19.8756 + 13.4522i −0.828150 + 0.560507i
\(577\) 8.52365 + 14.7634i 0.354844 + 0.614608i 0.987091 0.160159i \(-0.0512006\pi\)
−0.632247 + 0.774767i \(0.717867\pi\)
\(578\) 26.0404 + 51.0828i 1.08314 + 2.12476i
\(579\) 25.2324 18.3405i 1.04862 0.762207i
\(580\) 7.70650 10.6157i 0.319995 0.440795i
\(581\) 14.2826 + 17.0214i 0.592543 + 0.706166i
\(582\) 11.9646 2.76736i 0.495950 0.114711i
\(583\) 43.2733 15.7502i 1.79220 0.652307i
\(584\) −4.79605 + 5.92967i −0.198462 + 0.245372i
\(585\) −6.54092 + 20.1599i −0.270434 + 0.833508i
\(586\) −7.07375 + 16.6737i −0.292214 + 0.688785i
\(587\) 36.9148 + 6.50908i 1.52364 + 0.268658i 0.871861 0.489753i \(-0.162913\pi\)
0.651776 + 0.758412i \(0.274024\pi\)
\(588\) 1.47592 0.853301i 0.0608658 0.0351895i
\(589\) −5.85671 + 16.0912i −0.241322 + 0.663026i
\(590\) −5.79427 + 1.77271i −0.238546 + 0.0729815i
\(591\) 1.86612 26.7681i 0.0767620 1.10109i
\(592\) 6.61404 31.2357i 0.271835 1.28378i
\(593\) −16.4642 −0.676103 −0.338051 0.941128i \(-0.609768\pi\)
−0.338051 + 0.941128i \(0.609768\pi\)
\(594\) −25.9074 12.0547i −1.06300 0.494612i
\(595\) 48.5018i 1.98838i
\(596\) 1.81737 3.72982i 0.0744422 0.152779i
\(597\) 17.0296 25.2589i 0.696974 1.03378i
\(598\) 3.28251 + 10.7292i 0.134232 + 0.438748i
\(599\) −20.2683 7.37705i −0.828139 0.301418i −0.107044 0.994254i \(-0.534139\pi\)
−0.721095 + 0.692836i \(0.756361\pi\)
\(600\) −2.44896 + 5.78212i −0.0999782 + 0.236054i
\(601\) −3.05008 + 17.2979i −0.124415 + 0.705595i 0.857238 + 0.514920i \(0.172179\pi\)
−0.981653 + 0.190674i \(0.938933\pi\)
\(602\) 5.71910 13.4806i 0.233093 0.549429i
\(603\) 6.76506 0.239105i 0.275494 0.00973709i
\(604\) 33.5482 + 34.7133i 1.36506 + 1.41246i
\(605\) 3.53227 + 9.70482i 0.143607 + 0.394557i
\(606\) −2.53309 0.773322i −0.102900 0.0314140i
\(607\) −17.1550 + 14.3947i −0.696299 + 0.584264i −0.920718 0.390229i \(-0.872396\pi\)
0.224419 + 0.974493i \(0.427951\pi\)
\(608\) −7.16872 + 26.8581i −0.290730 + 1.08924i
\(609\) −4.70096 + 10.5645i −0.190492 + 0.428096i
\(610\) −0.561780 1.10203i −0.0227458 0.0446198i
\(611\) 20.8704 12.0495i 0.844327 0.487472i
\(612\) −12.5809 43.7411i −0.508554 1.76813i
\(613\) 20.3462 + 11.7469i 0.821774 + 0.474451i 0.851028 0.525121i \(-0.175980\pi\)
−0.0292540 + 0.999572i \(0.509313\pi\)
\(614\) 1.42011 27.1983i 0.0573112 1.09763i
\(615\) −30.2395 + 31.3271i −1.21937 + 1.26323i
\(616\) −28.0529 + 0.505985i −1.13028 + 0.0203867i
\(617\) −0.911711 5.17057i −0.0367041 0.208159i 0.960940 0.276755i \(-0.0892591\pi\)
−0.997645 + 0.0685961i \(0.978148\pi\)
\(618\) 24.2425 + 12.3398i 0.975177 + 0.496380i
\(619\) −14.0073 + 16.6933i −0.563001 + 0.670958i −0.970179 0.242390i \(-0.922068\pi\)
0.407178 + 0.913349i \(0.366513\pi\)
\(620\) −4.23232 16.9469i −0.169974 0.680605i
\(621\) 0.501144 14.6166i 0.0201102 0.586546i
\(622\) −5.51264 44.8250i −0.221037 1.79732i
\(623\) −11.8305 9.92697i −0.473979 0.397716i
\(624\) −7.96076 17.8328i −0.318686 0.713883i
\(625\) −5.16880 29.3137i −0.206752 1.17255i
\(626\) 1.85329 8.03458i 0.0740723 0.321127i
\(627\) −31.8130 + 9.12952i −1.27049 + 0.364598i
\(628\) 17.3711 1.22147i 0.693183 0.0487421i
\(629\) 52.4377 + 30.2749i 2.09083 + 1.20714i
\(630\) 5.15959 26.6314i 0.205563 1.06102i
\(631\) −18.2913 31.6814i −0.728164 1.26122i −0.957658 0.287908i \(-0.907040\pi\)
0.229494 0.973310i \(-0.426293\pi\)
\(632\) 1.58259 + 1.81843i 0.0629522 + 0.0723333i
\(633\) −42.3657 + 4.46187i −1.68389 + 0.177343i
\(634\) 10.3659 11.1204i 0.411683 0.441647i
\(635\) −20.0128 23.8504i −0.794186 0.946474i
\(636\) −31.4422 26.3511i −1.24676 1.04489i
\(637\) 0.474463 + 1.30358i 0.0187989 + 0.0516496i
\(638\) −11.4917 + 8.66311i −0.454961 + 0.342976i
\(639\) 15.0402 + 2.10728i 0.594980 + 0.0833625i
\(640\) −9.26820 26.7986i −0.366358 1.05931i
\(641\) 2.53575 14.3809i 0.100156 0.568012i −0.892889 0.450277i \(-0.851325\pi\)
0.993045 0.117736i \(-0.0375636\pi\)
\(642\) −3.60442 + 29.4543i −0.142255 + 1.16247i
\(643\) 16.8828 46.3851i 0.665793 1.82925i 0.117300 0.993097i \(-0.462576\pi\)
0.548494 0.836155i \(-0.315202\pi\)
\(644\) −5.84603 13.1167i −0.230366 0.516871i
\(645\) 7.72762 + 15.8355i 0.304275 + 0.623521i
\(646\) −44.2185 28.7036i −1.73975 1.12933i
\(647\) −23.5483 −0.925778 −0.462889 0.886416i \(-0.653187\pi\)
−0.462889 + 0.886416i \(0.653187\pi\)
\(648\) 2.25481 + 25.3558i 0.0885773 + 0.996069i
\(649\) 6.64748 0.260936
\(650\) −4.28578 2.78204i −0.168102 0.109121i
\(651\) 6.75254 + 13.8373i 0.264653 + 0.542328i
\(652\) −11.7660 + 5.24401i −0.460791 + 0.205371i
\(653\) −9.17895 + 25.2190i −0.359200 + 0.986894i 0.620108 + 0.784517i \(0.287089\pi\)
−0.979308 + 0.202377i \(0.935133\pi\)
\(654\) 5.81854 47.5475i 0.227523 1.85925i
\(655\) 0.135653 0.769324i 0.00530039 0.0300600i
\(656\) 1.36906 40.0962i 0.0534529 1.56549i
\(657\) 3.03340 + 7.49880i 0.118344 + 0.292556i
\(658\) −24.6298 + 18.5673i −0.960168 + 0.723830i
\(659\) −2.27329 6.24582i −0.0885548 0.243302i 0.887508 0.460793i \(-0.152435\pi\)
−0.976062 + 0.217491i \(0.930213\pi\)
\(660\) 21.6857 25.8755i 0.844115 1.00720i
\(661\) 19.3288 + 23.0352i 0.751803 + 0.895964i 0.997300 0.0734332i \(-0.0233956\pi\)
−0.245497 + 0.969397i \(0.578951\pi\)
\(662\) −17.2971 + 18.5561i −0.672272 + 0.721204i
\(663\) 36.8318 3.87905i 1.43043 0.150650i
\(664\) 18.5835 16.1734i 0.721179 0.627648i
\(665\) −15.7099 27.2104i −0.609206 1.05517i
\(666\) −25.5719 22.2017i −0.990893 0.860298i
\(667\) −6.37898 3.68291i −0.246995 0.142603i
\(668\) 2.00068 + 28.4525i 0.0774086 + 1.10086i
\(669\) −28.2915 + 8.11893i −1.09381 + 0.313896i
\(670\) −1.79763 + 7.79328i −0.0694485 + 0.301081i
\(671\) 0.235642 + 1.33639i 0.00909687 + 0.0515909i
\(672\) 12.8987 + 21.4098i 0.497578 + 0.825899i
\(673\) 17.8623 + 14.9883i 0.688543 + 0.577756i 0.918489 0.395447i \(-0.129410\pi\)
−0.229946 + 0.973203i \(0.573855\pi\)
\(674\) −0.306920 2.49566i −0.0118221 0.0961293i
\(675\) 4.10380 + 5.24576i 0.157955 + 0.201909i
\(676\) −9.80785 + 2.44941i −0.377225 + 0.0942081i
\(677\) −27.4963 + 32.7688i −1.05677 + 1.25941i −0.0921554 + 0.995745i \(0.529376\pi\)
−0.964614 + 0.263665i \(0.915069\pi\)
\(678\) −12.9789 6.60643i −0.498450 0.253719i
\(679\) −2.22091 12.5954i −0.0852305 0.483366i
\(680\) 53.7667 0.969780i 2.06186 0.0371893i
\(681\) −10.7262 + 11.1120i −0.411030 + 0.425814i
\(682\) −0.999190 + 19.1367i −0.0382610 + 0.732780i
\(683\) 9.59344 + 5.53878i 0.367083 + 0.211935i 0.672183 0.740385i \(-0.265357\pi\)
−0.305100 + 0.952320i \(0.598690\pi\)
\(684\) 21.2261 + 20.4646i 0.811599 + 0.782482i
\(685\) 13.8434 7.99249i 0.528929 0.305377i
\(686\) −12.2759 24.0812i −0.468695 0.919424i
\(687\) −1.16638 + 2.62122i −0.0445002 + 0.100006i
\(688\) −15.0583 6.07037i −0.574092 0.231431i
\(689\) 25.5719 21.4574i 0.974213 0.817462i
\(690\) 16.5268 + 5.04541i 0.629163 + 0.192076i
\(691\) −15.4467 42.4396i −0.587622 1.61448i −0.774839 0.632158i \(-0.782169\pi\)
0.187218 0.982318i \(-0.440053\pi\)
\(692\) 14.2679 13.7890i 0.542384 0.524181i
\(693\) −13.9601 + 26.2819i −0.530300 + 0.998368i
\(694\) 1.87361 4.41634i 0.0711214 0.167642i
\(695\) 2.23158 12.6559i 0.0846486 0.480066i
\(696\) 11.8053 + 5.00001i 0.447479 + 0.189525i
\(697\) 71.4958 + 26.0223i 2.70810 + 0.985666i
\(698\) −0.766866 2.50657i −0.0290263 0.0948750i
\(699\) 13.7841 20.4451i 0.521362 0.773303i
\(700\) 5.87897 + 2.86454i 0.222204 + 0.108270i
\(701\) 10.1103i 0.381863i −0.981603 0.190931i \(-0.938849\pi\)
0.981603 0.190931i \(-0.0611508\pi\)
\(702\) −20.6363 1.78823i −0.778867 0.0674922i
\(703\) −39.2247 −1.47939
\(704\) 1.12182 + 31.0879i 0.0422801 + 1.17167i
\(705\) 2.58114 37.0246i 0.0972115 1.39443i
\(706\) −18.5861 + 5.68627i −0.699496 + 0.214006i
\(707\) −0.943400 + 2.59197i −0.0354802 + 0.0974811i
\(708\) −2.96403 5.12676i −0.111395 0.192676i
\(709\) −9.89080 1.74401i −0.371457 0.0654978i −0.0151963 0.999885i \(-0.504837\pi\)
−0.356260 + 0.934387i \(0.615948\pi\)
\(710\) −7.00792 + 16.5185i −0.263002 + 0.619929i
\(711\) 2.50079 0.532665i 0.0937871 0.0199765i
\(712\) −10.7680 + 13.3132i −0.403548 + 0.498933i
\(713\) −9.21647 + 3.35452i −0.345159 + 0.125628i
\(714\) −46.1824 + 10.6818i −1.72833 + 0.399755i
\(715\) 17.6584 + 21.0445i 0.660389 + 0.787020i
\(716\) 15.4764 + 11.2351i 0.578381 + 0.419876i
\(717\) −24.2625 + 17.6356i −0.906100 + 0.658613i
\(718\) 6.90670 + 13.5487i 0.257756 + 0.505632i
\(719\) 12.6792 + 21.9611i 0.472856 + 0.819010i 0.999517 0.0310648i \(-0.00988984\pi\)
−0.526662 + 0.850075i \(0.676557\pi\)
\(720\) −29.6255 5.18718i −1.10408 0.193315i
\(721\) 14.1651 24.5347i 0.527537 0.913721i
\(722\) 7.27111 + 0.379650i 0.270603 + 0.0141291i
\(723\) −9.28311 + 37.2661i −0.345243 + 1.38594i
\(724\) −1.10847 + 10.5859i −0.0411960 + 0.393421i
\(725\) 3.30340 0.582478i 0.122685 0.0216327i
\(726\) −8.46279 + 5.50068i −0.314083 + 0.204149i
\(727\) 10.0163 + 8.40466i 0.371483 + 0.311712i 0.809348 0.587329i \(-0.199821\pi\)
−0.437865 + 0.899041i \(0.644265\pi\)
\(728\) −18.9836 + 7.29978i −0.703578 + 0.270548i
\(729\) 24.6796 + 10.9506i 0.914061 + 0.405578i
\(730\) −9.48583 + 1.16658i −0.351086 + 0.0431770i
\(731\) 19.7916 23.5867i 0.732017 0.872384i
\(732\) 0.925603 0.777618i 0.0342113 0.0287416i
\(733\) 8.57953 1.51280i 0.316892 0.0558766i −0.0129398 0.999916i \(-0.504119\pi\)
0.329832 + 0.944040i \(0.393008\pi\)
\(734\) −3.45108 + 14.9615i −0.127382 + 0.552239i
\(735\) 2.07310 + 0.516416i 0.0764673 + 0.0190483i
\(736\) −14.4236 + 6.74289i −0.531663 + 0.248546i
\(737\) 4.38708 7.59865i 0.161600 0.279900i
\(738\) −36.4887 21.8940i −1.34317 0.805931i
\(739\) 36.1627 20.8786i 1.33027 0.768031i 0.344927 0.938629i \(-0.387904\pi\)
0.985341 + 0.170599i \(0.0545702\pi\)
\(740\) 33.1624 22.3871i 1.21908 0.822965i
\(741\) −19.4069 + 14.1062i −0.712930 + 0.518204i
\(742\) −29.1325 + 31.2529i −1.06949 + 1.14733i
\(743\) −9.46740 + 7.94409i −0.347325 + 0.291441i −0.799715 0.600380i \(-0.795016\pi\)
0.452390 + 0.891820i \(0.350572\pi\)
\(744\) 15.2044 7.76221i 0.557419 0.284576i
\(745\) 4.88588 1.77831i 0.179005 0.0651524i
\(746\) −19.6590 26.0779i −0.719768 0.954779i
\(747\) −5.44358 25.5569i −0.199170 0.935078i
\(748\) −56.7156 16.2391i −2.07373 0.593762i
\(749\) 30.4348 + 5.36648i 1.11207 + 0.196087i
\(750\) 21.0089 8.92782i 0.767138 0.325998i
\(751\) 23.4602 + 8.53880i 0.856074 + 0.311585i 0.732514 0.680752i \(-0.238347\pi\)
0.123560 + 0.992337i \(0.460569\pi\)
\(752\) 21.0753 + 26.9321i 0.768537 + 0.982112i
\(753\) 0.817040 11.7198i 0.0297746 0.427094i
\(754\) −5.68006 + 8.75024i −0.206856 + 0.318665i
\(755\) 60.4972i 2.20172i
\(756\) 26.4942 0.952305i 0.963584 0.0346350i
\(757\) 8.24126i 0.299534i −0.988721 0.149767i \(-0.952148\pi\)
0.988721 0.149767i \(-0.0478523\pi\)
\(758\) 22.7689 + 14.7800i 0.827003 + 0.536834i
\(759\) −15.7182 10.5972i −0.570534 0.384654i
\(760\) −29.8500 + 17.9593i −1.08277 + 0.651453i
\(761\) 6.01155 + 2.18802i 0.217918 + 0.0793158i 0.448672 0.893696i \(-0.351897\pi\)
−0.230754 + 0.973012i \(0.574119\pi\)
\(762\) 18.3023 24.3084i 0.663022 0.880602i
\(763\) −49.1304 8.66301i −1.77864 0.313622i
\(764\) 2.28189 7.96955i 0.0825558 0.288328i
\(765\) 26.7562 50.3724i 0.967372 1.82122i
\(766\) 28.2205 21.2743i 1.01965 0.768670i
\(767\) 4.52812 1.64810i 0.163501 0.0595094i
\(768\) 23.4759 14.7269i 0.847113 0.531413i
\(769\) 22.1762 18.6080i 0.799693 0.671022i −0.148431 0.988923i \(-0.547422\pi\)
0.948124 + 0.317900i \(0.102978\pi\)
\(770\) −25.7197 23.9747i −0.926873 0.863987i
\(771\) 36.5915 + 16.2823i 1.31781 + 0.586393i
\(772\) −29.8536 + 20.1534i −1.07446 + 0.725336i
\(773\) 20.3275 11.7361i 0.731130 0.422118i