Properties

Label 216.2.t.a.133.2
Level $216$
Weight $2$
Character 216.133
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 133.2
Character \(\chi\) \(=\) 216.133
Dual form 216.2.t.a.13.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39072 - 0.256713i) q^{2} +(-1.23413 - 1.21529i) q^{3} +(1.86820 + 0.714031i) q^{4} +(1.46572 + 1.74677i) q^{5} +(1.40435 + 2.00694i) q^{6} +(-1.21500 + 0.442225i) q^{7} +(-2.41483 - 1.47261i) q^{8} +(0.0461478 + 2.99965i) q^{9} +O(q^{10})\) \(q+(-1.39072 - 0.256713i) q^{2} +(-1.23413 - 1.21529i) q^{3} +(1.86820 + 0.714031i) q^{4} +(1.46572 + 1.74677i) q^{5} +(1.40435 + 2.00694i) q^{6} +(-1.21500 + 0.442225i) q^{7} +(-2.41483 - 1.47261i) q^{8} +(0.0461478 + 2.99965i) q^{9} +(-1.58998 - 2.80554i) q^{10} +(-2.93828 + 3.50170i) q^{11} +(-1.43784 - 3.15160i) q^{12} +(4.95227 - 0.873219i) q^{13} +(1.80325 - 0.303103i) q^{14} +(0.313950 - 3.93701i) q^{15} +(2.98032 + 2.66790i) q^{16} +(0.909480 + 1.57526i) q^{17} +(0.705870 - 4.18351i) q^{18} +(6.49748 + 3.75132i) q^{19} +(1.49100 + 4.30988i) q^{20} +(2.03690 + 0.930816i) q^{21} +(4.98525 - 4.11559i) q^{22} +(0.835352 + 0.304043i) q^{23} +(1.19057 + 4.75211i) q^{24} +(-0.0346491 + 0.196505i) q^{25} +(-7.11138 - 0.0569110i) q^{26} +(3.58848 - 3.75803i) q^{27} +(-2.58563 - 0.0413872i) q^{28} +(1.50546 + 0.265453i) q^{29} +(-1.44730 + 5.39468i) q^{30} +(-1.86625 - 0.679258i) q^{31} +(-3.45990 - 4.47539i) q^{32} +(7.88180 - 0.750698i) q^{33} +(-0.860439 - 2.42423i) q^{34} +(-2.55331 - 1.47416i) q^{35} +(-2.05563 + 5.63688i) q^{36} +(-8.19426 + 4.73096i) q^{37} +(-8.07315 - 6.88502i) q^{38} +(-7.17295 - 4.94077i) q^{39} +(-0.967152 - 6.37659i) q^{40} +(0.859892 + 4.87669i) q^{41} +(-2.59380 - 1.81740i) q^{42} +(-1.62715 + 1.93916i) q^{43} +(-7.98961 + 4.44385i) q^{44} +(-5.17206 + 4.47724i) q^{45} +(-1.08369 - 0.637285i) q^{46} +(7.64813 - 2.78369i) q^{47} +(-0.435825 - 6.91448i) q^{48} +(-4.08164 + 3.42490i) q^{49} +(0.0986326 - 0.264388i) q^{50} +(0.791986 - 3.04936i) q^{51} +(9.87532 + 1.90473i) q^{52} -3.70167i q^{53} +(-5.95530 + 4.30515i) q^{54} -10.4234 q^{55} +(3.58525 + 0.721322i) q^{56} +(-3.45979 - 12.5259i) q^{57} +(-2.02553 - 0.755642i) q^{58} +(3.63062 + 4.32680i) q^{59} +(3.39767 - 7.13094i) q^{60} +(-4.89674 - 13.4537i) q^{61} +(2.42105 + 1.42375i) q^{62} +(-1.38259 - 3.62417i) q^{63} +(3.66285 + 7.11221i) q^{64} +(8.78393 + 7.37060i) q^{65} +(-11.1541 - 0.979351i) q^{66} +(8.09804 - 1.42790i) q^{67} +(0.574298 + 3.59230i) q^{68} +(-0.661432 - 1.39042i) q^{69} +(3.17251 + 2.70561i) q^{70} +(-4.59959 - 7.96673i) q^{71} +(4.30586 - 7.31160i) q^{72} +(-5.72007 + 9.90745i) q^{73} +(12.6104 - 4.47586i) q^{74} +(0.281572 - 0.200404i) q^{75} +(9.46001 + 11.6476i) q^{76} +(2.02148 - 5.55396i) q^{77} +(8.70720 + 8.71261i) q^{78} +(-1.39403 + 7.90593i) q^{79} +(-0.291918 + 9.11632i) q^{80} +(-8.99574 + 0.276854i) q^{81} +(0.0560425 - 7.00285i) q^{82} +(-13.3270 - 2.34991i) q^{83} +(3.14070 + 3.19336i) q^{84} +(-1.41859 + 3.89754i) q^{85} +(2.76072 - 2.27912i) q^{86} +(-1.53533 - 2.15717i) q^{87} +(12.2521 - 4.12911i) q^{88} +(3.65721 - 6.33447i) q^{89} +(8.34224 - 4.89884i) q^{90} +(-5.63086 + 3.25098i) q^{91} +(1.34351 + 1.16448i) q^{92} +(1.47769 + 3.10632i) q^{93} +(-11.3510 + 1.90796i) q^{94} +(2.97075 + 16.8480i) q^{95} +(-1.16893 + 9.72798i) q^{96} +(2.14122 + 1.79669i) q^{97} +(6.55563 - 3.71527i) q^{98} +(-10.6395 - 8.65220i) 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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39072 0.256713i −0.983387 0.181524i
\(3\) −1.23413 1.21529i −0.712525 0.701647i
\(4\) 1.86820 + 0.714031i 0.934098 + 0.357016i
\(5\) 1.46572 + 1.74677i 0.655488 + 0.781180i 0.986731 0.162365i \(-0.0519123\pi\)
−0.331243 + 0.943546i \(0.607468\pi\)
\(6\) 1.40435 + 2.00694i 0.573322 + 0.819330i
\(7\) −1.21500 + 0.442225i −0.459228 + 0.167145i −0.561266 0.827635i \(-0.689686\pi\)
0.102039 + 0.994780i \(0.467463\pi\)
\(8\) −2.41483 1.47261i −0.853773 0.520645i
\(9\) 0.0461478 + 2.99965i 0.0153826 + 0.999882i
\(10\) −1.58998 2.80554i −0.502796 0.887189i
\(11\) −2.93828 + 3.50170i −0.885924 + 1.05580i 0.112145 + 0.993692i \(0.464228\pi\)
−0.998069 + 0.0621118i \(0.980216\pi\)
\(12\) −1.43784 3.15160i −0.415069 0.909790i
\(13\) 4.95227 0.873219i 1.37351 0.242187i 0.562297 0.826935i \(-0.309918\pi\)
0.811215 + 0.584748i \(0.198807\pi\)
\(14\) 1.80325 0.303103i 0.481939 0.0810077i
\(15\) 0.313950 3.93701i 0.0810615 1.01653i
\(16\) 2.98032 + 2.66790i 0.745080 + 0.666976i
\(17\) 0.909480 + 1.57526i 0.220581 + 0.382058i 0.954985 0.296655i \(-0.0958713\pi\)
−0.734403 + 0.678713i \(0.762538\pi\)
\(18\) 0.705870 4.18351i 0.166375 0.986063i
\(19\) 6.49748 + 3.75132i 1.49062 + 0.860612i 0.999942 0.0107271i \(-0.00341459\pi\)
0.490681 + 0.871339i \(0.336748\pi\)
\(20\) 1.49100 + 4.30988i 0.333397 + 0.963719i
\(21\) 2.03690 + 0.930816i 0.444488 + 0.203121i
\(22\) 4.98525 4.11559i 1.06286 0.877447i
\(23\) 0.835352 + 0.304043i 0.174183 + 0.0633974i 0.427640 0.903949i \(-0.359345\pi\)
−0.253457 + 0.967347i \(0.581567\pi\)
\(24\) 1.19057 + 4.75211i 0.243025 + 0.970020i
\(25\) −0.0346491 + 0.196505i −0.00692983 + 0.0393010i
\(26\) −7.11138 0.0569110i −1.39466 0.0111612i
\(27\) 3.58848 3.75803i 0.690604 0.723233i
\(28\) −2.58563 0.0413872i −0.488637 0.00782145i
\(29\) 1.50546 + 0.265453i 0.279557 + 0.0492934i 0.311669 0.950191i \(-0.399112\pi\)
−0.0321117 + 0.999484i \(0.510223\pi\)
\(30\) −1.44730 + 5.39468i −0.264239 + 0.984929i
\(31\) −1.86625 0.679258i −0.335188 0.121998i 0.168943 0.985626i \(-0.445965\pi\)
−0.504130 + 0.863628i \(0.668187\pi\)
\(32\) −3.45990 4.47539i −0.611629 0.791144i
\(33\) 7.88180 0.750698i 1.37204 0.130680i
\(34\) −0.860439 2.42423i −0.147564 0.415751i
\(35\) −2.55331 1.47416i −0.431589 0.249178i
\(36\) −2.05563 + 5.63688i −0.342605 + 0.939480i
\(37\) −8.19426 + 4.73096i −1.34713 + 0.777765i −0.987842 0.155463i \(-0.950313\pi\)
−0.359286 + 0.933227i \(0.616980\pi\)
\(38\) −8.07315 6.88502i −1.30964 1.11690i
\(39\) −7.17295 4.94077i −1.14859 0.791157i
\(40\) −0.967152 6.37659i −0.152920 1.00823i
\(41\) 0.859892 + 4.87669i 0.134293 + 0.761611i 0.975350 + 0.220665i \(0.0708227\pi\)
−0.841057 + 0.540946i \(0.818066\pi\)
\(42\) −2.59380 1.81740i −0.400232 0.280431i
\(43\) −1.62715 + 1.93916i −0.248138 + 0.295720i −0.875708 0.482840i \(-0.839605\pi\)
0.627570 + 0.778560i \(0.284050\pi\)
\(44\) −7.98961 + 4.44385i −1.20448 + 0.669936i
\(45\) −5.17206 + 4.47724i −0.771005 + 0.667427i
\(46\) −1.08369 0.637285i −0.159781 0.0939625i
\(47\) 7.64813 2.78369i 1.11560 0.406043i 0.282552 0.959252i \(-0.408819\pi\)
0.833043 + 0.553208i \(0.186597\pi\)
\(48\) −0.435825 6.91448i −0.0629059 0.998019i
\(49\) −4.08164 + 3.42490i −0.583092 + 0.489272i
\(50\) 0.0986326 0.264388i 0.0139488 0.0373902i
\(51\) 0.791986 3.04936i 0.110900 0.426996i
\(52\) 9.87532 + 1.90473i 1.36946 + 0.264139i
\(53\) 3.70167i 0.508464i −0.967143 0.254232i \(-0.918177\pi\)
0.967143 0.254232i \(-0.0818227\pi\)
\(54\) −5.95530 + 4.30515i −0.810414 + 0.585857i
\(55\) −10.4234 −1.40549
\(56\) 3.58525 + 0.721322i 0.479100 + 0.0963907i
\(57\) −3.45979 12.5259i −0.458260 1.65910i
\(58\) −2.02553 0.755642i −0.265965 0.0992207i
\(59\) 3.63062 + 4.32680i 0.472666 + 0.563302i 0.948721 0.316114i \(-0.102378\pi\)
−0.476055 + 0.879415i \(0.657934\pi\)
\(60\) 3.39767 7.13094i 0.438637 0.920600i
\(61\) −4.89674 13.4537i −0.626963 1.72257i −0.689264 0.724510i \(-0.742066\pi\)
0.0623005 0.998057i \(-0.480156\pi\)
\(62\) 2.42105 + 1.42375i 0.307473 + 0.180816i
\(63\) −1.38259 3.62417i −0.174190 0.456602i
\(64\) 3.66285 + 7.11221i 0.457857 + 0.889026i
\(65\) 8.78393 + 7.37060i 1.08951 + 0.914210i
\(66\) −11.1541 0.979351i −1.37297 0.120550i
\(67\) 8.09804 1.42790i 0.989333 0.174446i 0.344514 0.938781i \(-0.388044\pi\)
0.644819 + 0.764335i \(0.276933\pi\)
\(68\) 0.574298 + 3.59230i 0.0696439 + 0.435631i
\(69\) −0.661432 1.39042i −0.0796270 0.167387i
\(70\) 3.17251 + 2.70561i 0.379187 + 0.323382i
\(71\) −4.59959 7.96673i −0.545871 0.945477i −0.998552 0.0538037i \(-0.982865\pi\)
0.452680 0.891673i \(-0.350468\pi\)
\(72\) 4.30586 7.31160i 0.507451 0.861681i
\(73\) −5.72007 + 9.90745i −0.669484 + 1.15958i 0.308565 + 0.951203i \(0.400151\pi\)
−0.978049 + 0.208377i \(0.933182\pi\)
\(74\) 12.6104 4.47586i 1.46593 0.520308i
\(75\) 0.281572 0.200404i 0.0325131 0.0231406i
\(76\) 9.46001 + 11.6476i 1.08514 + 1.33607i
\(77\) 2.02148 5.55396i 0.230369 0.632932i
\(78\) 8.70720 + 8.71261i 0.985896 + 0.986509i
\(79\) −1.39403 + 7.90593i −0.156841 + 0.889487i 0.800243 + 0.599676i \(0.204704\pi\)
−0.957084 + 0.289811i \(0.906407\pi\)
\(80\) −0.291918 + 9.11632i −0.0326375 + 1.01924i
\(81\) −8.99574 + 0.276854i −0.999527 + 0.0307615i
\(82\) 0.0560425 7.00285i 0.00618886 0.773336i
\(83\) −13.3270 2.34991i −1.46283 0.257936i −0.615133 0.788423i \(-0.710898\pi\)
−0.847693 + 0.530488i \(0.822009\pi\)
\(84\) 3.14070 + 3.19336i 0.342678 + 0.348424i
\(85\) −1.41859 + 3.89754i −0.153868 + 0.422748i
\(86\) 2.76072 2.27912i 0.297696 0.245764i
\(87\) −1.53533 2.15717i −0.164605 0.231273i
\(88\) 12.2521 4.12911i 1.30608 0.440164i
\(89\) 3.65721 6.33447i 0.387663 0.671452i −0.604472 0.796627i \(-0.706616\pi\)
0.992135 + 0.125174i \(0.0399490\pi\)
\(90\) 8.34224 4.89884i 0.879350 0.516383i
\(91\) −5.63086 + 3.25098i −0.590275 + 0.340795i
\(92\) 1.34351 + 1.16448i 0.140070 + 0.121405i
\(93\) 1.47769 + 3.10632i 0.153230 + 0.322110i
\(94\) −11.3510 + 1.90796i −1.17077 + 0.196791i
\(95\) 2.97075 + 16.8480i 0.304793 + 1.72857i
\(96\) −1.16893 + 9.72798i −0.119303 + 0.992858i
\(97\) 2.14122 + 1.79669i 0.217408 + 0.182427i 0.744987 0.667079i \(-0.232456\pi\)
−0.527579 + 0.849506i \(0.676900\pi\)
\(98\) 6.55563 3.71527i 0.662219 0.375299i
\(99\) −10.6395 8.65220i −1.06931 0.869579i
\(100\) −0.205042 + 0.342369i −0.0205042 + 0.0342369i
\(101\) 0.520014 + 1.42873i 0.0517434 + 0.142164i 0.962872 0.269958i \(-0.0870099\pi\)
−0.911129 + 0.412122i \(0.864788\pi\)
\(102\) −1.88424 + 4.03749i −0.186568 + 0.399771i
\(103\) 8.67365 7.27806i 0.854640 0.717128i −0.106166 0.994348i \(-0.533858\pi\)
0.960806 + 0.277220i \(0.0894132\pi\)
\(104\) −13.2448 5.18407i −1.29876 0.508340i
\(105\) 1.35959 + 4.92231i 0.132683 + 0.480369i
\(106\) −0.950268 + 5.14799i −0.0922982 + 0.500017i
\(107\) 8.87714i 0.858186i −0.903260 0.429093i \(-0.858833\pi\)
0.903260 0.429093i \(-0.141167\pi\)
\(108\) 9.38734 4.45845i 0.903297 0.429015i
\(109\) 3.79557i 0.363550i −0.983340 0.181775i \(-0.941816\pi\)
0.983340 0.181775i \(-0.0581842\pi\)
\(110\) 14.4960 + 2.67581i 1.38214 + 0.255129i
\(111\) 15.8622 + 4.11978i 1.50558 + 0.391032i
\(112\) −4.80091 1.92354i −0.453643 0.181757i
\(113\) 3.60533 3.02523i 0.339161 0.284590i −0.457259 0.889333i \(-0.651169\pi\)
0.796420 + 0.604744i \(0.206724\pi\)
\(114\) 1.59602 + 18.3082i 0.149481 + 1.71472i
\(115\) 0.693295 + 1.90481i 0.0646501 + 0.177625i
\(116\) 2.62295 + 1.57087i 0.243535 + 0.145851i
\(117\) 2.84788 + 14.8148i 0.263287 + 1.36962i
\(118\) −3.93842 6.94939i −0.362561 0.639743i
\(119\) −1.80164 1.51176i −0.165156 0.138582i
\(120\) −6.55581 + 9.04490i −0.598461 + 0.825683i
\(121\) −1.71832 9.74509i −0.156211 0.885917i
\(122\) 3.35625 + 19.9673i 0.303861 + 1.80776i
\(123\) 4.86537 7.06348i 0.438696 0.636893i
\(124\) −3.00150 2.60154i −0.269543 0.233626i
\(125\) 9.47973 5.47313i 0.847893 0.489531i
\(126\) 0.992418 + 5.39513i 0.0884116 + 0.480636i
\(127\) 2.25950 3.91357i 0.200498 0.347273i −0.748191 0.663484i \(-0.769077\pi\)
0.948689 + 0.316210i \(0.102411\pi\)
\(128\) −3.26820 10.8314i −0.288871 0.957368i
\(129\) 4.36476 0.415719i 0.384296 0.0366020i
\(130\) −10.3239 12.5054i −0.905462 1.09679i
\(131\) −5.52132 + 15.1697i −0.482400 + 1.32538i 0.425030 + 0.905179i \(0.360263\pi\)
−0.907430 + 0.420203i \(0.861959\pi\)
\(132\) 15.2608 + 4.22540i 1.32828 + 0.367774i
\(133\) −9.55338 1.68452i −0.828383 0.146066i
\(134\) −11.6287 0.0930620i −1.00456 0.00803933i
\(135\) 11.8241 + 0.760054i 1.01766 + 0.0654151i
\(136\) 0.123504 5.14331i 0.0105904 0.441035i
\(137\) 1.74704 9.90795i 0.149260 0.846493i −0.814588 0.580040i \(-0.803037\pi\)
0.963848 0.266454i \(-0.0858519\pi\)
\(138\) 0.562926 + 2.10348i 0.0479194 + 0.179061i
\(139\) 2.76868 7.60688i 0.234836 0.645207i −0.765163 0.643837i \(-0.777342\pi\)
0.999999 0.00137051i \(-0.000436247\pi\)
\(140\) −3.71750 4.57716i −0.314186 0.386841i
\(141\) −12.8218 5.85925i −1.07979 0.493438i
\(142\) 4.35158 + 12.2603i 0.365176 + 1.02886i
\(143\) −11.4934 + 19.9071i −0.961126 + 1.66472i
\(144\) −7.86523 + 9.06301i −0.655435 + 0.755251i
\(145\) 1.74289 + 3.01878i 0.144739 + 0.250696i
\(146\) 10.4984 12.3101i 0.868852 1.01879i
\(147\) 9.19952 + 0.733600i 0.758764 + 0.0605063i
\(148\) −18.6865 + 2.98740i −1.53602 + 0.245563i
\(149\) 15.8906 2.80194i 1.30181 0.229544i 0.520594 0.853805i \(-0.325711\pi\)
0.781216 + 0.624260i \(0.214600\pi\)
\(150\) −0.443033 + 0.206422i −0.0361735 + 0.0168543i
\(151\) 7.90059 + 6.62938i 0.642941 + 0.539491i 0.904920 0.425582i \(-0.139931\pi\)
−0.261979 + 0.965074i \(0.584375\pi\)
\(152\) −10.1661 18.6271i −0.824581 1.51085i
\(153\) −4.68327 + 2.80081i −0.378620 + 0.226432i
\(154\) −4.23708 + 7.20506i −0.341434 + 0.580600i
\(155\) −1.54888 4.25550i −0.124409 0.341810i
\(156\) −9.87262 14.3520i −0.790442 1.14908i
\(157\) −13.4195 15.9928i −1.07099 1.27636i −0.959230 0.282626i \(-0.908795\pi\)
−0.111763 0.993735i \(-0.535650\pi\)
\(158\) 3.96826 10.6371i 0.315698 0.846239i
\(159\) −4.49860 + 4.56834i −0.356762 + 0.362293i
\(160\) 2.74626 12.6033i 0.217111 0.996379i
\(161\) −1.14941 −0.0905862
\(162\) 12.5816 + 1.92430i 0.988505 + 0.151187i
\(163\) 7.57305i 0.593167i 0.955007 + 0.296584i \(0.0958473\pi\)
−0.955007 + 0.296584i \(0.904153\pi\)
\(164\) −1.87566 + 9.72461i −0.146465 + 0.759365i
\(165\) 12.8638 + 12.6674i 1.00144 + 0.986155i
\(166\) 17.9308 + 6.68927i 1.39170 + 0.519188i
\(167\) 8.24570 6.91897i 0.638072 0.535406i −0.265354 0.964151i \(-0.585489\pi\)
0.903425 + 0.428745i \(0.141044\pi\)
\(168\) −3.54805 5.24732i −0.273738 0.404840i
\(169\) 11.5465 4.20257i 0.888189 0.323274i
\(170\) 2.97341 5.05622i 0.228050 0.387794i
\(171\) −10.9528 + 19.6632i −0.837581 + 1.50369i
\(172\) −4.42446 + 2.46090i −0.337362 + 0.187642i
\(173\) 1.94847 2.32210i 0.148139 0.176546i −0.686872 0.726779i \(-0.741017\pi\)
0.835011 + 0.550233i \(0.185461\pi\)
\(174\) 1.58144 + 3.39416i 0.119888 + 0.257311i
\(175\) −0.0448006 0.254077i −0.00338661 0.0192064i
\(176\) −18.0992 + 2.59715i −1.36428 + 0.195768i
\(177\) 0.777663 9.75208i 0.0584527 0.733011i
\(178\) −6.71229 + 7.87061i −0.503107 + 0.589927i
\(179\) 6.05490 3.49580i 0.452565 0.261288i −0.256348 0.966585i \(-0.582519\pi\)
0.708913 + 0.705296i \(0.249186\pi\)
\(180\) −12.8593 + 4.67135i −0.958476 + 0.348182i
\(181\) 6.40756 + 3.69941i 0.476271 + 0.274975i 0.718861 0.695154i \(-0.244664\pi\)
−0.242590 + 0.970129i \(0.577997\pi\)
\(182\) 8.66551 3.07568i 0.642331 0.227985i
\(183\) −10.3069 + 22.5545i −0.761908 + 1.66728i
\(184\) −1.56950 1.96436i −0.115705 0.144815i
\(185\) −20.2744 7.37926i −1.49060 0.542534i
\(186\) −1.25762 4.69936i −0.0922133 0.344574i
\(187\) −8.18842 1.44384i −0.598796 0.105584i
\(188\) 16.2759 + 0.260522i 1.18704 + 0.0190005i
\(189\) −2.69812 + 6.15293i −0.196259 + 0.447560i
\(190\) 0.193616 24.1934i 0.0140463 1.75518i
\(191\) 4.49698 25.5037i 0.325390 1.84538i −0.181528 0.983386i \(-0.558104\pi\)
0.506918 0.861994i \(-0.330785\pi\)
\(192\) 4.12295 13.2288i 0.297548 0.954707i
\(193\) −16.9847 6.18192i −1.22258 0.444984i −0.351532 0.936176i \(-0.614339\pi\)
−0.871051 + 0.491192i \(0.836561\pi\)
\(194\) −2.51659 3.04837i −0.180681 0.218860i
\(195\) −1.88311 19.7713i −0.134852 1.41585i
\(196\) −10.0708 + 3.48397i −0.719343 + 0.248855i
\(197\) 3.88751 + 2.24446i 0.276974 + 0.159911i 0.632053 0.774926i \(-0.282213\pi\)
−0.355079 + 0.934836i \(0.615546\pi\)
\(198\) 12.5754 + 14.7641i 0.893693 + 1.04924i
\(199\) −5.96011 10.3232i −0.422501 0.731793i 0.573683 0.819078i \(-0.305514\pi\)
−0.996183 + 0.0872848i \(0.972181\pi\)
\(200\) 0.373047 0.423503i 0.0263784 0.0299462i
\(201\) −11.7293 8.07924i −0.827324 0.569866i
\(202\) −0.356420 2.12045i −0.0250777 0.149195i
\(203\) −1.94653 + 0.343225i −0.136619 + 0.0240897i
\(204\) 3.65693 5.13130i 0.256036 0.359263i
\(205\) −7.25811 + 8.64988i −0.506929 + 0.604134i
\(206\) −13.9310 + 7.89509i −0.970617 + 0.550077i
\(207\) −0.873472 + 2.51979i −0.0607105 + 0.175138i
\(208\) 17.0890 + 10.6097i 1.18491 + 0.735651i
\(209\) −32.2274 + 11.7298i −2.22922 + 0.811369i
\(210\) −0.627189 7.19458i −0.0432802 0.496473i
\(211\) 11.4128 + 13.6012i 0.785686 + 0.936344i 0.999175 0.0406011i \(-0.0129273\pi\)
−0.213489 + 0.976945i \(0.568483\pi\)
\(212\) 2.64311 6.91546i 0.181530 0.474955i
\(213\) −4.00538 + 15.4218i −0.274444 + 1.05668i
\(214\) −2.27888 + 12.3456i −0.155781 + 0.843928i
\(215\) −5.77222 −0.393662
\(216\) −14.1997 + 3.79060i −0.966167 + 0.257918i
\(217\) 2.56788 0.174319
\(218\) −0.974373 + 5.27857i −0.0659929 + 0.357510i
\(219\) 19.0997 5.27554i 1.29064 0.356488i
\(220\) −19.4729 7.44261i −1.31286 0.501781i
\(221\) 5.87954 + 7.00696i 0.395501 + 0.471339i
\(222\) −21.0023 9.80150i −1.40958 0.657834i
\(223\) −11.2910 + 4.10960i −0.756104 + 0.275199i −0.691172 0.722690i \(-0.742905\pi\)
−0.0649319 + 0.997890i \(0.520683\pi\)
\(224\) 6.18291 + 3.90756i 0.413113 + 0.261085i
\(225\) −0.591044 0.0948668i −0.0394030 0.00632446i
\(226\) −5.79061 + 3.28171i −0.385186 + 0.218296i
\(227\) −6.05029 + 7.21045i −0.401572 + 0.478575i −0.928499 0.371336i \(-0.878900\pi\)
0.526927 + 0.849911i \(0.323344\pi\)
\(228\) 2.48034 25.8713i 0.164264 1.71337i
\(229\) 16.1662 2.85054i 1.06829 0.188369i 0.388259 0.921550i \(-0.373077\pi\)
0.680033 + 0.733182i \(0.261965\pi\)
\(230\) −0.475188 2.82703i −0.0313329 0.186409i
\(231\) −9.24442 + 4.39762i −0.608239 + 0.289342i
\(232\) −3.24453 2.85798i −0.213014 0.187635i
\(233\) 4.13470 + 7.16150i 0.270873 + 0.469166i 0.969086 0.246725i \(-0.0793544\pi\)
−0.698213 + 0.715890i \(0.746021\pi\)
\(234\) −0.157461 21.3342i −0.0102936 1.39466i
\(235\) 16.0725 + 9.27945i 1.04845 + 0.605324i
\(236\) 3.69324 + 10.6757i 0.240409 + 0.694928i
\(237\) 11.3284 8.06279i 0.735859 0.523735i
\(238\) 2.11749 + 2.56493i 0.137256 + 0.166260i
\(239\) 14.8870 + 5.41844i 0.962963 + 0.350490i 0.775194 0.631724i \(-0.217652\pi\)
0.187769 + 0.982213i \(0.439874\pi\)
\(240\) 11.4392 10.8960i 0.738399 0.703331i
\(241\) 3.79086 21.4990i 0.244191 1.38488i −0.578174 0.815914i \(-0.696234\pi\)
0.822364 0.568961i \(-0.192655\pi\)
\(242\) −0.111990 + 13.9938i −0.00719897 + 0.899555i
\(243\) 11.4384 + 10.5907i 0.733771 + 0.679397i
\(244\) 0.458279 28.6306i 0.0293383 1.83288i
\(245\) −11.9651 2.10976i −0.764419 0.134788i
\(246\) −8.57965 + 8.57431i −0.547019 + 0.546678i
\(247\) 35.4530 + 12.9038i 2.25582 + 0.821051i
\(248\) 3.50639 + 4.38854i 0.222656 + 0.278673i
\(249\) 13.5914 + 19.0962i 0.861320 + 1.21017i
\(250\) −14.5887 + 5.17801i −0.922668 + 0.327486i
\(251\) 3.84480 + 2.21980i 0.242682 + 0.140112i 0.616409 0.787426i \(-0.288587\pi\)
−0.373727 + 0.927539i \(0.621920\pi\)
\(252\) 0.00482610 7.75787i 0.000304015 0.488700i
\(253\) −3.51917 + 2.03179i −0.221248 + 0.127738i
\(254\) −4.14700 + 4.86263i −0.260206 + 0.305109i
\(255\) 6.48736 3.08608i 0.406255 0.193258i
\(256\) 1.76459 + 15.9024i 0.110287 + 0.993900i
\(257\) −3.91461 22.2008i −0.244187 1.38485i −0.822374 0.568947i \(-0.807351\pi\)
0.578188 0.815904i \(-0.303760\pi\)
\(258\) −6.17687 0.542342i −0.384555 0.0337648i
\(259\) 7.86390 9.37183i 0.488639 0.582337i
\(260\) 11.1473 + 20.0417i 0.691325 + 1.24294i
\(261\) −0.726792 + 4.52810i −0.0449873 + 0.280282i
\(262\) 11.5729 19.6794i 0.714974 1.21580i
\(263\) −21.0056 + 7.64543i −1.29526 + 0.471437i −0.895451 0.445160i \(-0.853147\pi\)
−0.399812 + 0.916597i \(0.630925\pi\)
\(264\) −20.1387 9.79398i −1.23945 0.602778i
\(265\) 6.46598 5.42560i 0.397202 0.333292i
\(266\) 12.8536 + 4.79517i 0.788106 + 0.294011i
\(267\) −12.2117 + 3.37299i −0.747342 + 0.206424i
\(268\) 16.1483 + 3.11465i 0.986415 + 0.190258i
\(269\) 12.5171i 0.763184i −0.924331 0.381592i \(-0.875376\pi\)
0.924331 0.381592i \(-0.124624\pi\)
\(270\) −16.2489 4.09243i −0.988877 0.249057i
\(271\) 9.28509 0.564029 0.282015 0.959410i \(-0.408997\pi\)
0.282015 + 0.959410i \(0.408997\pi\)
\(272\) −1.49211 + 7.12119i −0.0904727 + 0.431786i
\(273\) 10.9001 + 2.83099i 0.659703 + 0.171340i
\(274\) −4.97314 + 13.3307i −0.300438 + 0.805336i
\(275\) −0.586294 0.698718i −0.0353548 0.0421343i
\(276\) −0.242879 3.06987i −0.0146196 0.184784i
\(277\) 3.85712 + 10.5974i 0.231752 + 0.636734i 0.999994 0.00342581i \(-0.00109047\pi\)
−0.768242 + 0.640160i \(0.778868\pi\)
\(278\) −5.80324 + 9.86828i −0.348055 + 0.591860i
\(279\) 1.95141 5.62942i 0.116828 0.337024i
\(280\) 3.99498 + 7.31988i 0.238746 + 0.437446i
\(281\) 12.0912 + 10.1457i 0.721299 + 0.605241i 0.927744 0.373217i \(-0.121745\pi\)
−0.206446 + 0.978458i \(0.566190\pi\)
\(282\) 16.3273 + 11.4401i 0.972279 + 0.681248i
\(283\) −11.1062 + 1.95832i −0.660194 + 0.116410i −0.493700 0.869632i \(-0.664356\pi\)
−0.166494 + 0.986042i \(0.553245\pi\)
\(284\) −2.90445 18.1677i −0.172347 1.07805i
\(285\) 16.8089 24.4029i 0.995672 1.44550i
\(286\) 21.0945 24.7347i 1.24734 1.46260i
\(287\) −3.20137 5.54493i −0.188971 0.327307i
\(288\) 13.2649 10.5850i 0.781642 0.623727i
\(289\) 6.84569 11.8571i 0.402688 0.697476i
\(290\) −1.64891 4.64569i −0.0968274 0.272804i
\(291\) −0.459035 4.81955i −0.0269091 0.282527i
\(292\) −17.7605 + 14.4248i −1.03935 + 0.844145i
\(293\) −11.3855 + 31.2814i −0.665148 + 1.82748i −0.113252 + 0.993566i \(0.536127\pi\)
−0.551896 + 0.833913i \(0.686095\pi\)
\(294\) −12.6056 3.38187i −0.735175 0.197235i
\(295\) −2.23648 + 12.6837i −0.130213 + 0.738475i
\(296\) 26.7546 + 0.642446i 1.55508 + 0.0373414i
\(297\) 2.61555 + 23.6079i 0.151770 + 1.36987i
\(298\) −22.8187 0.182614i −1.32185 0.0105785i
\(299\) 4.40239 + 0.776259i 0.254597 + 0.0448922i
\(300\) 0.669126 0.173343i 0.0386320 0.0100079i
\(301\) 1.11945 3.07566i 0.0645239 0.177278i
\(302\) −9.28564 11.2478i −0.534329 0.647237i
\(303\) 1.09455 2.39520i 0.0628803 0.137601i
\(304\) 9.35639 + 28.5148i 0.536626 + 1.63543i
\(305\) 16.3233 28.2728i 0.934669 1.61889i
\(306\) 7.23211 2.69288i 0.413432 0.153942i
\(307\) −9.81977 + 5.66945i −0.560444 + 0.323573i −0.753324 0.657650i \(-0.771551\pi\)
0.192880 + 0.981222i \(0.438217\pi\)
\(308\) 7.74222 8.93249i 0.441154 0.508976i
\(309\) −19.5493 1.55893i −1.11212 0.0886843i
\(310\) 1.06161 + 6.31583i 0.0602953 + 0.358715i
\(311\) −0.869735 4.93251i −0.0493181 0.279697i 0.950168 0.311737i \(-0.100911\pi\)
−0.999487 + 0.0320399i \(0.989800\pi\)
\(312\) 10.0457 + 22.4941i 0.568724 + 1.27348i
\(313\) −4.75687 3.99148i −0.268874 0.225612i 0.498375 0.866962i \(-0.333930\pi\)
−0.767249 + 0.641350i \(0.778375\pi\)
\(314\) 14.5572 + 25.6864i 0.821511 + 1.44957i
\(315\) 4.30412 7.72707i 0.242510 0.435371i
\(316\) −8.24941 + 13.7745i −0.464065 + 0.774874i
\(317\) −5.47491 15.0422i −0.307501 0.844853i −0.993142 0.116913i \(-0.962700\pi\)
0.685641 0.727940i \(-0.259522\pi\)
\(318\) 7.42904 5.19843i 0.416600 0.291513i
\(319\) −5.35300 + 4.49170i −0.299711 + 0.251487i
\(320\) −7.05470 + 16.8226i −0.394370 + 0.940415i
\(321\) −10.7883 + 10.9555i −0.602143 + 0.611478i
\(322\) 1.59851 + 0.295069i 0.0890813 + 0.0164435i
\(323\) 13.6470i 0.759339i
\(324\) −17.0035 5.90602i −0.944639 0.328112i
\(325\) 1.00340i 0.0556587i
\(326\) 1.94410 10.5320i 0.107674 0.583313i
\(327\) −4.61272 + 4.68423i −0.255084 + 0.259038i
\(328\) 5.10496 13.0427i 0.281874 0.720162i
\(329\) −8.06148 + 6.76439i −0.444444 + 0.372933i
\(330\) −14.6380 20.9191i −0.805795 1.15156i
\(331\) −0.933712 2.56535i −0.0513214 0.141005i 0.911383 0.411558i \(-0.135015\pi\)
−0.962705 + 0.270554i \(0.912793\pi\)
\(332\) −23.2195 13.9060i −1.27434 0.763189i
\(333\) −14.5693 24.3615i −0.798395 1.33500i
\(334\) −13.2436 + 7.50555i −0.724660 + 0.410686i
\(335\) 14.3636 + 12.0525i 0.784770 + 0.658500i
\(336\) 3.58728 + 8.20838i 0.195702 + 0.447804i
\(337\) 3.64020 + 20.6446i 0.198294 + 1.12458i 0.907649 + 0.419730i \(0.137875\pi\)
−0.709355 + 0.704852i \(0.751014\pi\)
\(338\) −17.1367 + 2.88046i −0.932115 + 0.156676i
\(339\) −8.12597 0.647991i −0.441342 0.0351940i
\(340\) −5.43318 + 6.26846i −0.294655 + 0.339955i
\(341\) 7.86211 4.53919i 0.425757 0.245811i
\(342\) 20.2801 24.5343i 1.09662 1.32666i
\(343\) 7.97005 13.8045i 0.430342 0.745375i
\(344\) 6.78493 2.28660i 0.365819 0.123285i
\(345\) 1.45928 3.19334i 0.0785650 0.171923i
\(346\) −3.30589 + 2.72919i −0.177726 + 0.146722i
\(347\) 8.56303 23.5267i 0.459687 1.26298i −0.466031 0.884768i \(-0.654317\pi\)
0.925719 0.378212i \(-0.123461\pi\)
\(348\) −1.32801 5.12630i −0.0711888 0.274798i
\(349\) −1.68825 0.297684i −0.0903700 0.0159347i 0.128280 0.991738i \(-0.459054\pi\)
−0.218650 + 0.975803i \(0.570165\pi\)
\(350\) −0.00291983 + 0.364850i −0.000156071 + 0.0195021i
\(351\) 14.4895 21.7443i 0.773395 1.16063i
\(352\) 25.8376 + 1.03440i 1.37715 + 0.0551336i
\(353\) −4.10027 + 23.2538i −0.218235 + 1.23767i 0.656967 + 0.753919i \(0.271839\pi\)
−0.875203 + 0.483756i \(0.839272\pi\)
\(354\) −3.58500 + 13.3628i −0.190540 + 0.710223i
\(355\) 7.17436 19.7114i 0.380776 1.04617i
\(356\) 11.3554 9.22267i 0.601835 0.488801i
\(357\) 0.386237 + 4.05522i 0.0204418 + 0.214625i
\(358\) −9.31808 + 3.30730i −0.492476 + 0.174796i
\(359\) 0.0166089 0.0287675i 0.000876586 0.00151829i −0.865587 0.500759i \(-0.833054\pi\)
0.866463 + 0.499241i \(0.166388\pi\)
\(360\) 19.0829 3.19538i 1.00576 0.168411i
\(361\) 18.6448 + 32.2938i 0.981306 + 1.69967i
\(362\) −7.96143 6.78974i −0.418444 0.356861i
\(363\) −9.72246 + 14.1149i −0.510297 + 0.740843i
\(364\) −12.8409 + 2.05286i −0.673044 + 0.107599i
\(365\) −25.6901 + 4.52985i −1.34468 + 0.237103i
\(366\) 20.1240 28.7211i 1.05190 1.50128i
\(367\) −19.6835 16.5164i −1.02747 0.862150i −0.0369225 0.999318i \(-0.511755\pi\)
−0.990548 + 0.137168i \(0.956200\pi\)
\(368\) 1.67846 + 3.13478i 0.0874956 + 0.163412i
\(369\) −14.5887 + 2.80442i −0.759456 + 0.145992i
\(370\) 26.3016 + 15.4672i 1.36735 + 0.804100i
\(371\) 1.63697 + 4.49754i 0.0849874 + 0.233501i
\(372\) 0.542612 + 6.85833i 0.0281331 + 0.355588i
\(373\) 4.20427 + 5.01046i 0.217689 + 0.259432i 0.863827 0.503789i \(-0.168061\pi\)
−0.646138 + 0.763221i \(0.723617\pi\)
\(374\) 11.0171 + 4.11005i 0.569682 + 0.212526i
\(375\) −18.3506 4.76607i −0.947623 0.246119i
\(376\) −22.5683 4.54054i −1.16387 0.234161i
\(377\) 7.68724 0.395913
\(378\) 5.33186 7.86436i 0.274242 0.404499i
\(379\) 22.9600i 1.17938i −0.807631 0.589688i \(-0.799251\pi\)
0.807631 0.589688i \(-0.200749\pi\)
\(380\) −6.48004 + 33.5966i −0.332419 + 1.72347i
\(381\) −7.54463 + 2.08390i −0.386523 + 0.106762i
\(382\) −12.8012 + 34.3140i −0.654965 + 1.75566i
\(383\) −9.59765 + 8.05339i −0.490417 + 0.411509i −0.854176 0.519984i \(-0.825938\pi\)
0.363759 + 0.931493i \(0.381493\pi\)
\(384\) −9.12987 + 17.3391i −0.465907 + 0.884834i
\(385\) 12.6644 4.60947i 0.645438 0.234920i
\(386\) 22.0339 + 12.9575i 1.12150 + 0.659519i
\(387\) −5.89189 4.79139i −0.299502 0.243560i
\(388\) 2.71732 + 4.88547i 0.137951 + 0.248022i
\(389\) −16.8629 + 20.0964i −0.854983 + 1.01893i 0.144584 + 0.989493i \(0.453816\pi\)
−0.999567 + 0.0294361i \(0.990629\pi\)
\(390\) −2.45668 + 27.9797i −0.124399 + 1.41681i
\(391\) 0.280787 + 1.59242i 0.0142000 + 0.0805323i
\(392\) 14.9000 2.25992i 0.752565 0.114143i
\(393\) 25.2496 12.0114i 1.27367 0.605893i
\(394\) −4.83025 4.11938i −0.243345 0.207531i
\(395\) −15.8531 + 9.15280i −0.797657 + 0.460527i
\(396\) −13.6987 23.7609i −0.688384 1.19403i
\(397\) 23.2006 + 13.3949i 1.16440 + 0.672269i 0.952356 0.304990i \(-0.0986531\pi\)
0.212049 + 0.977259i \(0.431986\pi\)
\(398\) 5.63873 + 15.8867i 0.282644 + 0.796329i
\(399\) 9.74292 + 13.6890i 0.487756 + 0.685308i
\(400\) −0.627522 + 0.493207i −0.0313761 + 0.0246603i
\(401\) −16.3873 5.96448i −0.818342 0.297852i −0.101277 0.994858i \(-0.532293\pi\)
−0.717065 + 0.697006i \(0.754515\pi\)
\(402\) 14.2382 + 14.2470i 0.710135 + 0.710577i
\(403\) −9.83529 1.73423i −0.489931 0.0863880i
\(404\) −0.0486674 + 3.04045i −0.00242130 + 0.151268i
\(405\) −13.6688 15.3077i −0.679208 0.760647i
\(406\) 2.79518 + 0.0223693i 0.138723 + 0.00111017i
\(407\) 7.51060 42.5948i 0.372287 2.11134i
\(408\) −6.40303 + 6.19742i −0.316997 + 0.306818i
\(409\) −12.2946 4.47486i −0.607928 0.221268i 0.0196684 0.999807i \(-0.493739\pi\)
−0.627596 + 0.778539i \(0.715961\pi\)
\(410\) 12.3145 10.1663i 0.608171 0.502078i
\(411\) −14.1971 + 10.1045i −0.700291 + 0.498420i
\(412\) 21.4008 7.40358i 1.05434 0.364748i
\(413\) −6.32463 3.65153i −0.311215 0.179680i
\(414\) 1.86162 3.28009i 0.0914935 0.161208i
\(415\) −15.4288 26.7235i −0.757371 1.31180i
\(416\) −21.0423 19.1421i −1.03169 0.938518i
\(417\) −12.6615 + 6.02313i −0.620035 + 0.294954i
\(418\) 47.8305 8.03968i 2.33947 0.393234i
\(419\) 7.40741 1.30613i 0.361876 0.0638084i 0.0102456 0.999948i \(-0.496739\pi\)
0.351630 + 0.936139i \(0.385628\pi\)
\(420\) −0.974699 + 10.1666i −0.0475604 + 0.496081i
\(421\) 14.2717 17.0084i 0.695561 0.828938i −0.296455 0.955047i \(-0.595805\pi\)
0.992016 + 0.126109i \(0.0402490\pi\)
\(422\) −12.3803 21.8452i −0.602665 1.06341i
\(423\) 8.70304 + 22.8132i 0.423156 + 1.10922i
\(424\) −5.45111 + 8.93893i −0.264729 + 0.434113i
\(425\) −0.341060 + 0.124136i −0.0165438 + 0.00602147i
\(426\) 9.52934 20.4191i 0.461698 0.989311i
\(427\) 11.8991 + 14.1808i 0.575838 + 0.686257i
\(428\) 6.33856 16.5842i 0.306386 0.801630i
\(429\) 38.3773 10.6002i 1.85287 0.511782i
\(430\) 8.02753 + 1.48180i 0.387122 + 0.0714590i
\(431\) −14.5079 −0.698819 −0.349409 0.936970i \(-0.613618\pi\)
−0.349409 + 0.936970i \(0.613618\pi\)
\(432\) 20.7209 1.62641i 0.996934 0.0782506i
\(433\) 23.2737 1.11846 0.559232 0.829011i \(-0.311096\pi\)
0.559232 + 0.829011i \(0.311096\pi\)
\(434\) −3.57119 0.659208i −0.171423 0.0316430i
\(435\) 1.51773 5.84367i 0.0727697 0.280183i
\(436\) 2.71016 7.09088i 0.129793 0.339591i
\(437\) 4.28712 + 5.10919i 0.205081 + 0.244406i
\(438\) −27.9166 + 2.43364i −1.33391 + 0.116284i
\(439\) −2.54109 + 0.924881i −0.121280 + 0.0441421i −0.401947 0.915663i \(-0.631666\pi\)
0.280667 + 0.959805i \(0.409444\pi\)
\(440\) 25.1707 + 15.3495i 1.19997 + 0.731760i
\(441\) −10.4619 12.0854i −0.498184 0.575497i
\(442\) −6.37801 11.2541i −0.303371 0.535301i
\(443\) 9.93953 11.8455i 0.472241 0.562795i −0.476368 0.879246i \(-0.658047\pi\)
0.948609 + 0.316451i \(0.102491\pi\)
\(444\) 26.6922 + 19.0227i 1.26675 + 0.902777i
\(445\) 16.4253 2.89622i 0.778634 0.137294i
\(446\) 16.7576 2.81674i 0.793497 0.133377i
\(447\) −23.0162 15.8537i −1.08863 0.749855i
\(448\) −7.59557 7.02155i −0.358857 0.331737i
\(449\) 12.9786 + 22.4796i 0.612498 + 1.06088i 0.990818 + 0.135203i \(0.0431687\pi\)
−0.378320 + 0.925675i \(0.623498\pi\)
\(450\) 0.797623 + 0.283662i 0.0376003 + 0.0133720i
\(451\) −19.6033 11.3180i −0.923085 0.532944i
\(452\) 8.89557 3.07741i 0.418413 0.144749i
\(453\) −1.69373 17.7830i −0.0795785 0.835518i
\(454\) 10.2653 8.47452i 0.481773 0.397729i
\(455\) −13.9320 5.07082i −0.653140 0.237724i
\(456\) −10.0910 + 35.3429i −0.472552 + 1.65509i
\(457\) 1.67588 9.50439i 0.0783944 0.444597i −0.920193 0.391465i \(-0.871969\pi\)
0.998588 0.0531319i \(-0.0169204\pi\)
\(458\) −23.2144 0.185780i −1.08474 0.00868095i
\(459\) 9.18355 + 2.23496i 0.428651 + 0.104319i
\(460\) −0.0648845 + 4.05360i −0.00302526 + 0.189000i
\(461\) −8.54169 1.50613i −0.397826 0.0701475i −0.0288440 0.999584i \(-0.509183\pi\)
−0.368982 + 0.929436i \(0.620294\pi\)
\(462\) 13.9853 3.74269i 0.650656 0.174126i
\(463\) −18.1001 6.58791i −0.841184 0.306166i −0.114743 0.993395i \(-0.536605\pi\)
−0.726441 + 0.687229i \(0.758827\pi\)
\(464\) 3.77855 + 4.80756i 0.175415 + 0.223185i
\(465\) −3.26015 + 7.13417i −0.151186 + 0.330839i
\(466\) −3.91175 11.0211i −0.181208 0.510541i
\(467\) −13.0762 7.54953i −0.605093 0.349350i 0.165950 0.986134i \(-0.446931\pi\)
−0.771042 + 0.636784i \(0.780264\pi\)
\(468\) −5.25780 + 29.7104i −0.243042 + 1.37336i
\(469\) −9.20769 + 5.31606i −0.425171 + 0.245473i
\(470\) −19.9701 17.0311i −0.921153 0.785587i
\(471\) −2.87440 + 36.0457i −0.132445 + 1.66090i
\(472\) −2.39566 15.7950i −0.110269 0.727023i
\(473\) −2.00935 11.3956i −0.0923902 0.523971i
\(474\) −17.8244 + 8.30492i −0.818704 + 0.381458i
\(475\) −0.962285 + 1.14681i −0.0441527 + 0.0526191i
\(476\) −2.28638 4.11069i −0.104796 0.188413i
\(477\) 11.1037 0.170824i 0.508404 0.00782149i
\(478\) −19.3127 11.3572i −0.883342 0.519467i
\(479\) −27.5254 + 10.0184i −1.25767 + 0.457754i −0.882986 0.469400i \(-0.844470\pi\)
−0.374682 + 0.927153i \(0.622248\pi\)
\(480\) −18.7059 + 12.2166i −0.853803 + 0.557609i
\(481\) −36.4490 + 30.5844i −1.66193 + 1.39453i
\(482\) −10.7911 + 28.9260i −0.491521 + 1.31754i
\(483\) 1.41852 + 1.39687i 0.0645449 + 0.0635596i
\(484\) 3.74814 19.4327i 0.170370 0.883303i
\(485\) 6.37366i 0.289413i
\(486\) −13.1888 17.6651i −0.598254 0.801306i
\(487\) 20.4526 0.926797 0.463398 0.886150i \(-0.346630\pi\)
0.463398 + 0.886150i \(0.346630\pi\)
\(488\) −7.98718 + 39.6994i −0.361563 + 1.79711i
\(489\) 9.20344 9.34612i 0.416194 0.422646i
\(490\) 16.0984 + 6.00567i 0.727253 + 0.271309i
\(491\) 2.04697 + 2.43948i 0.0923784 + 0.110092i 0.810253 0.586080i \(-0.199330\pi\)
−0.717875 + 0.696172i \(0.754885\pi\)
\(492\) 14.1330 9.72195i 0.637166 0.438299i
\(493\) 0.951026 + 2.61292i 0.0428321 + 0.117680i
\(494\) −45.9925 27.0468i −2.06930 1.21690i
\(495\) −0.481015 31.2664i −0.0216200 1.40532i
\(496\) −3.74981 7.00336i −0.168371 0.314460i
\(497\) 9.11160 + 7.64554i 0.408711 + 0.342949i
\(498\) −13.9996 30.0465i −0.627335 1.34642i
\(499\) −36.7668 + 6.48298i −1.64591 + 0.290218i −0.918332 0.395810i \(-0.870464\pi\)
−0.727575 + 0.686028i \(0.759353\pi\)
\(500\) 21.6180 3.45605i 0.966786 0.154559i
\(501\) −18.5848 1.48201i −0.830308 0.0662114i
\(502\) −4.77719 4.07412i −0.213216 0.181837i
\(503\) −0.252106 0.436661i −0.0112409 0.0194697i 0.860350 0.509703i \(-0.170245\pi\)
−0.871591 + 0.490234i \(0.836911\pi\)
\(504\) −1.99826 + 10.7878i −0.0890095 + 0.480526i
\(505\) −1.73347 + 3.00246i −0.0771383 + 0.133608i
\(506\) 5.41576 1.92224i 0.240760 0.0854538i
\(507\) −19.3571 8.84577i −0.859681 0.392854i
\(508\) 7.01561 5.69797i 0.311267 0.252806i
\(509\) 13.3918 36.7936i 0.593580 1.63085i −0.170229 0.985404i \(-0.554451\pi\)
0.763809 0.645442i \(-0.223327\pi\)
\(510\) −9.81433 + 2.62647i −0.434586 + 0.116302i
\(511\) 2.56858 14.5671i 0.113627 0.644412i
\(512\) 1.62830 22.5688i 0.0719615 0.997407i
\(513\) 37.4137 10.9562i 1.65185 0.483727i
\(514\) −0.255130 + 31.8801i −0.0112533 + 1.40617i
\(515\) 25.4262 + 4.48333i 1.12041 + 0.197559i
\(516\) 8.45106 + 2.33993i 0.372037 + 0.103010i
\(517\) −12.7247 + 34.9608i −0.559631 + 1.53757i
\(518\) −13.3423 + 11.0148i −0.586229 + 0.483963i
\(519\) −5.22668 + 0.497813i −0.229426 + 0.0218515i
\(520\) −10.3578 30.7341i −0.454218 1.34778i
\(521\) −1.86826 + 3.23593i −0.0818501 + 0.141768i −0.904045 0.427438i \(-0.859416\pi\)
0.822195 + 0.569207i \(0.192750\pi\)
\(522\) 2.17319 6.11073i 0.0951177 0.267459i
\(523\) −24.2166 + 13.9814i −1.05892 + 0.611365i −0.925132 0.379645i \(-0.876046\pi\)
−0.133784 + 0.991011i \(0.542713\pi\)
\(524\) −21.1465 + 24.3976i −0.923791 + 1.06581i
\(525\) −0.253487 + 0.368009i −0.0110631 + 0.0160612i
\(526\) 31.1756 5.24022i 1.35932 0.228484i
\(527\) −0.627301 3.55760i −0.0273257 0.154972i
\(528\) 25.4930 + 18.7905i 1.10944 + 0.817754i
\(529\) −17.0137 14.2761i −0.739724 0.620702i
\(530\) −10.3852 + 5.88559i −0.451104 + 0.255653i
\(531\) −12.8113 + 11.0902i −0.555964 + 0.481275i
\(532\) −16.6448 9.96843i −0.721643 0.432186i
\(533\) 8.51684 + 23.3998i 0.368905 + 1.01356i
\(534\) 17.8489 1.55598i 0.772397 0.0673339i
\(535\) 15.5063 13.0114i 0.670398 0.562530i
\(536\) −21.6582 8.47709i −0.935491 0.366154i
\(537\) −11.7209 3.04419i −0.505796 0.131366i
\(538\) −3.21332 + 17.4078i −0.138536 + 0.750505i
\(539\) 24.3560i 1.04909i
\(540\) 21.5471 + 9.86272i 0.927239 + 0.424424i
\(541\) 11.3487i 0.487917i −0.969786 0.243959i \(-0.921554\pi\)
0.969786 0.243959i \(-0.0784461\pi\)
\(542\) −12.9130 2.38361i −0.554659 0.102385i
\(543\) −3.41191 12.3526i −0.146419 0.530100i
\(544\) 3.90322 9.52053i 0.167349 0.408189i
\(545\) 6.63000 5.56323i 0.283998 0.238303i
\(546\) −14.4322 6.73531i −0.617641 0.288245i
\(547\) −7.08764 19.4731i −0.303046 0.832611i −0.993967 0.109681i \(-0.965017\pi\)
0.690921 0.722930i \(-0.257205\pi\)
\(548\) 10.3384 17.2626i 0.441635 0.737420i
\(549\) 40.1303 15.3093i 1.71272 0.653387i
\(550\) 0.636000 + 1.12223i 0.0271191 + 0.0478520i
\(551\) 8.78590 + 7.37224i 0.374292 + 0.314068i
\(552\) −0.450298 + 4.33167i −0.0191660 + 0.184368i
\(553\) −1.80245 10.2222i −0.0766480 0.434692i
\(554\) −2.64369 15.7281i −0.112320 0.668224i
\(555\) 16.0532 + 33.7462i 0.681422 + 1.43244i
\(556\) 10.6040 12.2342i 0.449709 0.518847i
\(557\) −32.7009 + 18.8798i −1.38558 + 0.799965i −0.992813 0.119673i \(-0.961815\pi\)
−0.392766 + 0.919638i \(0.628482\pi\)
\(558\) −4.15901 + 7.32799i −0.176065 + 0.310218i
\(559\) −6.36478 + 11.0241i −0.269201 + 0.466271i
\(560\) −3.67678 11.2055i −0.155372 0.473517i
\(561\) 8.35088 + 11.7332i 0.352574 + 0.495375i
\(562\) −14.2109 17.2138i −0.599450 0.726119i
\(563\) 4.41394 12.1272i 0.186025 0.511100i −0.811264 0.584680i \(-0.801220\pi\)
0.997289 + 0.0735797i \(0.0234423\pi\)
\(564\) −19.7699 20.1014i −0.832463 0.846421i
\(565\) 10.5688 + 1.86356i 0.444632 + 0.0784006i
\(566\) 15.9483 + 0.127631i 0.670357 + 0.00536474i
\(567\) 10.8074 4.31452i 0.453869 0.181193i
\(568\) −0.624608 + 26.0117i −0.0262079 + 1.09143i
\(569\) −1.87797 + 10.6505i −0.0787286 + 0.446492i 0.919806 + 0.392374i \(0.128346\pi\)
−0.998535 + 0.0541184i \(0.982765\pi\)
\(570\) −29.6410 + 29.6225i −1.24152 + 1.24075i
\(571\) 10.2558 28.1775i 0.429190 1.17919i −0.517115 0.855916i \(-0.672994\pi\)
0.946305 0.323274i \(-0.104784\pi\)
\(572\) −35.6863 + 28.9838i −1.49212 + 1.21187i
\(573\) −36.5442 + 26.0097i −1.52665 + 1.08657i
\(574\) 3.02874 + 8.53327i 0.126417 + 0.356172i
\(575\) −0.0886903 + 0.153616i −0.00369864 + 0.00640623i
\(576\) −21.1651 + 11.3155i −0.881878 + 0.471478i
\(577\) 8.40915 + 14.5651i 0.350078 + 0.606352i 0.986263 0.165184i \(-0.0528219\pi\)
−0.636185 + 0.771536i \(0.719489\pi\)
\(578\) −12.5643 + 14.7325i −0.522606 + 0.612791i
\(579\) 13.4485 + 28.2706i 0.558899 + 1.17488i
\(580\) 1.10056 + 6.88415i 0.0456984 + 0.285849i
\(581\) 17.2315 3.03838i 0.714883 0.126053i
\(582\) −0.598852 + 6.82047i −0.0248232 + 0.282718i
\(583\) 12.9622 + 10.8766i 0.536838 + 0.450461i
\(584\) 28.4028 15.5014i 1.17532 0.641454i
\(585\) −21.7038 + 26.6888i −0.897342 + 1.10345i
\(586\) 23.8644 40.5808i 0.985828 1.67638i
\(587\) 7.82140 + 21.4891i 0.322824 + 0.886951i 0.989875 + 0.141939i \(0.0453338\pi\)
−0.667052 + 0.745012i \(0.732444\pi\)
\(588\) 16.6627 + 7.93926i 0.687158 + 0.327409i
\(589\) −9.57777 11.4143i −0.394645 0.470320i
\(590\) 6.36640 17.0654i 0.262100 0.702570i
\(591\) −2.07003 7.49439i −0.0851496 0.308278i
\(592\) −37.0432 7.76173i −1.52247 0.319005i
\(593\) 44.2631 1.81767 0.908833 0.417160i \(-0.136974\pi\)
0.908833 + 0.417160i \(0.136974\pi\)
\(594\) 2.42297 33.5035i 0.0994157 1.37466i
\(595\) 5.36286i 0.219856i
\(596\) 31.6875 + 6.11182i 1.29797 + 0.250350i
\(597\) −5.19014 + 19.9834i −0.212418 + 0.817867i
\(598\) −5.92320 2.20971i −0.242218 0.0903617i
\(599\) 6.46594 5.42556i 0.264191 0.221683i −0.501063 0.865411i \(-0.667058\pi\)
0.765254 + 0.643728i \(0.222613\pi\)
\(600\) −0.975065 + 0.0692973i −0.0398069 + 0.00282905i
\(601\) −10.2943 + 3.74683i −0.419915 + 0.152836i −0.543331 0.839519i \(-0.682837\pi\)
0.123416 + 0.992355i \(0.460615\pi\)
\(602\) −2.34640 + 3.98999i −0.0956320 + 0.162620i
\(603\) 4.65691 + 24.2254i 0.189644 + 0.986533i
\(604\) 10.0263 + 18.0263i 0.407963 + 0.733478i
\(605\) 14.5039 17.2850i 0.589666 0.702737i
\(606\) −2.13709 + 3.05007i −0.0868135 + 0.123900i
\(607\) 5.08144 + 28.8183i 0.206249 + 1.16970i 0.895462 + 0.445138i \(0.146846\pi\)
−0.689212 + 0.724559i \(0.742043\pi\)
\(608\) −5.69200 42.0579i −0.230841 1.70567i
\(609\) 2.81938 + 1.94201i 0.114247 + 0.0786942i
\(610\) −29.9591 + 35.1291i −1.21301 + 1.42233i
\(611\) 35.4449 20.4641i 1.43395 0.827889i
\(612\) −10.7491 + 1.88847i −0.434508 + 0.0763368i
\(613\) −4.66918 2.69575i −0.188586 0.108880i 0.402734 0.915317i \(-0.368060\pi\)
−0.591321 + 0.806437i \(0.701393\pi\)
\(614\) 15.1120 5.36374i 0.609869 0.216463i
\(615\) 19.4695 1.85437i 0.785088 0.0747753i
\(616\) −13.0603 + 10.4351i −0.526216 + 0.420440i
\(617\) 38.2253 + 13.9129i 1.53889 + 0.560111i 0.965779 0.259366i \(-0.0835135\pi\)
0.573113 + 0.819477i \(0.305736\pi\)
\(618\) 26.7874 + 7.18660i 1.07755 + 0.289088i
\(619\) 15.6107 + 2.75259i 0.627447 + 0.110636i 0.478325 0.878183i \(-0.341244\pi\)
0.149122 + 0.988819i \(0.452355\pi\)
\(620\) 0.144957 9.05607i 0.00582162 0.363700i
\(621\) 4.14025 2.04823i 0.166143 0.0821925i
\(622\) −0.0566840 + 7.08301i −0.00227282 + 0.284003i
\(623\) −1.64226 + 9.31370i −0.0657956 + 0.373146i
\(624\) −8.19618 33.8618i −0.328110 1.35556i
\(625\) 24.3924 + 8.87811i 0.975697 + 0.355125i
\(626\) 5.59080 + 6.77218i 0.223453 + 0.270671i
\(627\) 54.0279 + 24.6895i 2.15767 + 0.986004i
\(628\) −13.6510 39.4596i −0.544733 1.57461i
\(629\) −14.9050 8.60542i −0.594302 0.343121i
\(630\) −7.96946 + 9.64125i −0.317511 + 0.384117i
\(631\) 5.53855 + 9.59305i 0.220486 + 0.381893i 0.954956 0.296748i \(-0.0959023\pi\)
−0.734470 + 0.678642i \(0.762569\pi\)
\(632\) 15.0087 17.0387i 0.597013 0.677762i
\(633\) 2.44456 30.6554i 0.0971626 1.21844i
\(634\) 3.75253 + 22.3249i 0.149032 + 0.886636i
\(635\) 10.1479 1.78935i 0.402707 0.0710082i
\(636\) −11.6662 + 5.32242i −0.462596 + 0.211048i
\(637\) −17.2227 + 20.5252i −0.682388 + 0.813239i
\(638\) 8.59760 4.87251i 0.340382 0.192904i
\(639\) 23.6851 14.1648i 0.936968 0.560350i
\(640\) 14.1297 21.5845i 0.558526 0.853204i
\(641\) −14.4922 + 5.27474i −0.572408 + 0.208340i −0.611975 0.790877i \(-0.709625\pi\)
0.0395664 + 0.999217i \(0.487402\pi\)
\(642\) 17.8159 12.4666i 0.703138 0.492016i
\(643\) 10.7001 + 12.7519i 0.421970 + 0.502884i 0.934588 0.355733i \(-0.115769\pi\)
−0.512618 + 0.858617i \(0.671324\pi\)
\(644\) −2.14733 0.820715i −0.0846165 0.0323407i
\(645\) 7.12366 + 7.01491i 0.280494 + 0.276212i
\(646\) 3.50336 18.9791i 0.137838 0.746724i
\(647\) 9.34488 0.367385 0.183693 0.982984i \(-0.441195\pi\)
0.183693 + 0.982984i \(0.441195\pi\)
\(648\) 22.1309 + 12.5786i 0.869385 + 0.494136i
\(649\) −25.8190 −1.01348
\(650\) 0.257586 1.39545i 0.0101034 0.0547341i
\(651\) −3.16909 3.12071i −0.124206 0.122310i
\(652\) −5.40740 + 14.1479i −0.211770 + 0.554076i
\(653\) −19.5285 23.2732i −0.764211 0.910751i 0.233896 0.972262i \(-0.424853\pi\)
−0.998106 + 0.0615108i \(0.980408\pi\)
\(654\) 7.61749 5.33030i 0.297868 0.208431i
\(655\) −34.5907 + 12.5900i −1.35157 + 0.491931i
\(656\) −10.4478 + 16.8282i −0.407918 + 0.657031i
\(657\) −29.9828 16.7010i −1.16974 0.651567i
\(658\) 12.9478 7.33787i 0.504756 0.286060i
\(659\) 18.3717 21.8946i 0.715661 0.852892i −0.278541 0.960424i \(-0.589851\pi\)
0.994202 + 0.107533i \(0.0342951\pi\)
\(660\) 14.9871 + 32.8503i 0.583374 + 1.27870i
\(661\) 1.85841 0.327688i 0.0722838 0.0127456i −0.137389 0.990517i \(-0.543871\pi\)
0.209673 + 0.977772i \(0.432760\pi\)
\(662\) 0.639971 + 3.80738i 0.0248732 + 0.147978i
\(663\) 1.25937 15.7928i 0.0489099 0.613343i
\(664\) 28.7220 + 25.3000i 1.11463 + 0.981832i
\(665\) −11.0601 19.1566i −0.428891 0.742861i
\(666\) 14.0079 + 37.6202i 0.542796 + 1.45775i
\(667\) 1.17688 + 0.679472i 0.0455690 + 0.0263093i
\(668\) 20.3450 7.03830i 0.787170 0.272320i
\(669\) 18.9289 + 8.65009i 0.731835 + 0.334432i
\(670\) −16.8818 20.4490i −0.652199 0.790015i
\(671\) 61.4988 + 22.3837i 2.37414 + 0.864115i
\(672\) −2.88170 12.3364i −0.111164 0.475889i
\(673\) −0.709316 + 4.02273i −0.0273421 + 0.155065i −0.995422 0.0955768i \(-0.969530\pi\)
0.968080 + 0.250642i \(0.0806416\pi\)
\(674\) 0.237246 29.6453i 0.00913836 1.14189i
\(675\) 0.614134 + 0.835367i 0.0236380 + 0.0321533i
\(676\) 24.5718 + 0.393313i 0.945070 + 0.0151274i
\(677\) 10.8614 + 1.91516i 0.417438 + 0.0736057i 0.378423 0.925633i \(-0.376467\pi\)
0.0390158 + 0.999239i \(0.487578\pi\)
\(678\) 11.1346 + 2.98722i 0.427621 + 0.114723i
\(679\) −3.39613 1.23609i −0.130331 0.0474367i
\(680\) 9.16521 7.32290i 0.351470 0.280820i
\(681\) 16.2296 1.54578i 0.621920 0.0592345i
\(682\) −12.0993 + 4.29443i −0.463304 + 0.164442i
\(683\) 32.8628 + 18.9733i 1.25746 + 0.725994i 0.972580 0.232569i \(-0.0747132\pi\)
0.284879 + 0.958563i \(0.408047\pi\)
\(684\) −34.5021 + 28.9142i −1.31922 + 1.10556i
\(685\) 19.8676 11.4706i 0.759102 0.438268i
\(686\) −14.6279 + 17.1522i −0.558496 + 0.654874i
\(687\) −23.4154 16.1287i −0.893353 0.615347i
\(688\) −10.0229 + 1.43824i −0.382121 + 0.0548325i
\(689\) −3.23237 18.3317i −0.123144 0.698382i
\(690\) −2.84922 + 4.06641i −0.108468 + 0.154806i
\(691\) −13.3549 + 15.9157i −0.508043 + 0.605462i −0.957710 0.287734i \(-0.907098\pi\)
0.449667 + 0.893196i \(0.351543\pi\)
\(692\) 5.29818 2.94686i 0.201406 0.112023i
\(693\) 16.7532 + 5.80741i 0.636401 + 0.220605i
\(694\) −17.9484 + 30.5208i −0.681311 + 1.15855i
\(695\) 17.3456 6.31328i 0.657956 0.239476i
\(696\) 0.530899 + 7.47015i 0.0201237 + 0.283155i
\(697\) −6.90003 + 5.78981i −0.261357 + 0.219305i
\(698\) 2.27146 + 0.847391i 0.0859761 + 0.0320742i
\(699\) 3.60054 13.8631i 0.136185 0.524349i
\(700\) 0.0977225 0.506654i 0.00369356 0.0191497i
\(701\) 42.7784i 1.61572i 0.589375 + 0.807860i \(0.299374\pi\)
−0.589375 + 0.807860i \(0.700626\pi\)
\(702\) −25.7329 + 26.5206i −0.971227 + 1.00095i
\(703\) −70.9894 −2.67741
\(704\) −35.6673 8.07142i −1.34426 0.304203i
\(705\) −8.55830 30.9847i −0.322324 1.16695i
\(706\) 11.6719 31.2869i 0.439277 1.17750i
\(707\) −1.26364 1.50594i −0.0475240 0.0566369i
\(708\) 8.41612 17.6635i 0.316297 0.663836i
\(709\) 9.51434 + 26.1404i 0.357318 + 0.981724i 0.979956 + 0.199214i \(0.0638388\pi\)
−0.622638 + 0.782510i \(0.713939\pi\)
\(710\) −15.0377 + 25.5713i −0.564355 + 0.959672i
\(711\) −23.7793 3.81675i −0.891794 0.143139i
\(712\) −18.1597 + 9.91106i −0.680565 + 0.371433i
\(713\) −1.35245 1.13484i −0.0506496 0.0425000i
\(714\) 0.503880 5.73882i 0.0188572 0.214770i
\(715\) −51.6193 + 9.10188i −1.93045 + 0.340391i
\(716\) 13.8079 2.20745i 0.516024 0.0824963i
\(717\) −11.7876 24.7791i −0.440214 0.925392i
\(718\) −0.0304833 + 0.0357438i −0.00113763 + 0.00133395i
\(719\) 17.1489 + 29.7028i 0.639546 + 1.10773i 0.985532 + 0.169487i \(0.0542112\pi\)
−0.345986 + 0.938240i \(0.612456\pi\)
\(720\) −27.3592 0.454954i −1.01962 0.0169551i
\(721\) −7.31997 + 12.6786i −0.272610 + 0.472174i
\(722\) −17.6395 49.6979i −0.656473 1.84957i
\(723\) −30.8059 + 21.9256i −1.14569 + 0.815422i
\(724\) 9.32910 + 11.4864i 0.346713 + 0.426890i
\(725\) −0.104326 + 0.286633i −0.00387456 + 0.0106453i
\(726\) 17.1447 17.1340i 0.636299 0.635904i
\(727\) −7.66167 + 43.4515i −0.284156 + 1.61153i 0.424130 + 0.905601i \(0.360580\pi\)
−0.708285 + 0.705926i \(0.750531\pi\)
\(728\) 18.3850 + 0.441471i 0.681394 + 0.0163620i
\(729\) −1.24560 26.9713i −0.0461332 0.998935i
\(730\) 36.8905 + 0.295228i 1.36538 + 0.0109269i
\(731\) −4.53456 0.799565i −0.167717 0.0295730i
\(732\) −35.3600 + 34.7769i −1.30694 + 1.28539i
\(733\) −6.41336 + 17.6206i −0.236883 + 0.650831i 0.763107 + 0.646273i \(0.223673\pi\)
−0.999990 + 0.00455803i \(0.998549\pi\)
\(734\) 23.1342 + 28.0227i 0.853900 + 1.03434i
\(735\) 12.2025 + 17.1447i 0.450094 + 0.632392i
\(736\) −1.52952 4.79049i −0.0563789 0.176580i
\(737\) −18.7942 + 32.5525i −0.692294 + 1.19909i
\(738\) 21.0087 0.155058i 0.773339 0.00570778i
\(739\) 31.6248 18.2586i 1.16334 0.671652i 0.211235 0.977435i \(-0.432252\pi\)
0.952101 + 0.305783i \(0.0989183\pi\)
\(740\) −32.6075 28.2625i −1.19867 1.03895i
\(741\) −28.0717 59.0106i −1.03124 2.16781i
\(742\) −1.12199 6.67505i −0.0411895 0.245049i
\(743\) 0.0717778 + 0.407072i 0.00263327 + 0.0149340i 0.986096 0.166176i \(-0.0531420\pi\)
−0.983463 + 0.181110i \(0.942031\pi\)
\(744\) 1.00600 9.67731i 0.0368819 0.354787i
\(745\) 28.1855 + 23.6504i 1.03264 + 0.866485i
\(746\) −4.56071 8.04743i −0.166979 0.294637i
\(747\) 6.43387 40.0846i 0.235403 1.46662i
\(748\) −14.2666 8.54416i −0.521640 0.312406i
\(749\) 3.92569 + 10.7857i 0.143442 + 0.394103i
\(750\) 24.2971 + 11.3391i 0.887203 + 0.414046i
\(751\) 10.6301 8.91971i 0.387898 0.325485i −0.427896 0.903828i \(-0.640745\pi\)
0.815794 + 0.578343i \(0.196301\pi\)
\(752\) 30.2205 + 12.1082i 1.10203 + 0.441540i
\(753\) −2.04729 7.41206i −0.0746073 0.270110i
\(754\) −10.6908 1.97342i −0.389336 0.0718676i
\(755\) 23.5173i 0.855883i
\(756\) −9.43401 + 9.56835i −0.343112 + 0.347997i
\(757\) 5.96005i 0.216622i −0.994117 0.108311i \(-0.965456\pi\)
0.994117 0.108311i \(-0.0345442\pi\)
\(758\) −5.89413 + 31.9309i −0.214084 + 1.15978i
\(759\) 6.81232 + 1.76931i 0.247272 + 0.0642219i
\(760\) 17.6366 45.0599i 0.639746 1.63449i
\(761\) −16.9390 + 14.2135i −0.614037 + 0.515238i −0.895923 0.444210i \(-0.853484\pi\)
0.281886 + 0.959448i \(0.409040\pi\)
\(762\) 11.0274 0.961319i 0.399482 0.0348249i
\(763\) 1.67850 + 4.61163i 0.0607656 + 0.166952i
\(764\) 26.6117 44.4349i 0.962776 1.60760i
\(765\) −11.7567 4.07540i −0.425065 0.147347i
\(766\) 15.4150 8.73615i 0.556968 0.315650i
\(767\) 21.7580 + 18.2572i 0.785637 + 0.659228i
\(768\) 17.1483 21.7701i 0.618785 0.785561i
\(769\) −4.94612 28.0509i −0.178362 1.01154i −0.934192 0.356772i \(-0.883877\pi\)
0.755830 0.654768i \(-0.227234\pi\)
\(770\) −18.7959 + 3.15935i −0.677359 + 0.113855i
\(771\) −22.1493 + 32.1561i −0.797688 + 1.15807i
\(772\) −27.3166 23.6766i −0.983147 0.852140i
\(773\) −17.4609