Properties

Label 216.2.t.a.13.2
Level $216$
Weight $2$
Character 216.13
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 13.2
Character \(\chi\) \(=\) 216.13
Dual form 216.2.t.a.133.2

$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{4}{9}\right)\)

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 −0.331243 0.943546i \(-0.607468\pi\)
0.986731 + 0.162365i \(0.0519123\pi\)
\(6\) 1.40435 2.00694i 0.573322 0.819330i
\(7\) −1.21500 0.442225i −0.459228 0.167145i 0.102039 0.994780i \(-0.467463\pi\)
−0.561266 + 0.827635i \(0.689686\pi\)
\(8\) −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 −0.998069 0.0621118i \(-0.980216\pi\)
0.112145 0.993692i \(-0.464228\pi\)
\(12\) −1.43784 + 3.15160i −0.415069 + 0.909790i
\(13\) 4.95227 + 0.873219i 1.37351 + 0.242187i 0.811215 0.584748i \(-0.198807\pi\)
0.562297 + 0.826935i \(0.309918\pi\)
\(14\) 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 −0.734403 0.678713i \(-0.762538\pi\)
0.954985 + 0.296655i \(0.0958713\pi\)
\(18\) 0.705870 + 4.18351i 0.166375 + 0.986063i
\(19\) 6.49748 3.75132i 1.49062 0.860612i 0.490681 0.871339i \(-0.336748\pi\)
0.999942 + 0.0107271i \(0.00341459\pi\)
\(20\) 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 −0.253457 0.967347i \(-0.581567\pi\)
0.427640 + 0.903949i \(0.359345\pi\)
\(24\) 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 −0.0321117 0.999484i \(-0.510223\pi\)
0.311669 + 0.950191i \(0.399112\pi\)
\(30\) −1.44730 5.39468i −0.264239 0.984929i
\(31\) −1.86625 + 0.679258i −0.335188 + 0.121998i −0.504130 0.863628i \(-0.668187\pi\)
0.168943 + 0.985626i \(0.445965\pi\)
\(32\) −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 −0.359286 0.933227i \(-0.616980\pi\)
−0.987842 + 0.155463i \(0.950313\pi\)
\(38\) −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 −0.841057 0.540946i \(-0.818066\pi\)
0.975350 0.220665i \(-0.0708227\pi\)
\(42\) −2.59380 + 1.81740i −0.400232 + 0.280431i
\(43\) −1.62715 1.93916i −0.248138 0.295720i 0.627570 0.778560i \(-0.284050\pi\)
−0.875708 + 0.482840i \(0.839605\pi\)
\(44\) −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 0.833043 0.553208i \(-0.186597\pi\)
0.282552 + 0.959252i \(0.408819\pi\)
\(48\) −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 \(0.0818227\pi\)
−0.967143 + 0.254232i \(0.918177\pi\)
\(54\) −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 −0.476055 0.879415i \(-0.657934\pi\)
0.948721 + 0.316114i \(0.102378\pi\)
\(60\) 3.39767 + 7.13094i 0.438637 + 0.920600i
\(61\) −4.89674 + 13.4537i −0.626963 + 1.72257i 0.0623005 + 0.998057i \(0.480156\pi\)
−0.689264 + 0.724510i \(0.742066\pi\)
\(62\) 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 0.644819 0.764335i \(-0.276933\pi\)
0.344514 + 0.938781i \(0.388044\pi\)
\(68\) 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 0.452680 + 0.891673i \(0.350468\pi\)
−0.998552 + 0.0538037i \(0.982865\pi\)
\(72\) 4.30586 + 7.31160i 0.507451 + 0.861681i
\(73\) −5.72007 9.90745i −0.669484 1.15958i −0.978049 0.208377i \(-0.933182\pi\)
0.308565 0.951203i \(-0.400151\pi\)
\(74\) 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 −0.957084 0.289811i \(-0.906407\pi\)
0.800243 0.599676i \(-0.204704\pi\)
\(80\) −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 −0.847693 0.530488i \(-0.822009\pi\)
−0.615133 + 0.788423i \(0.710898\pi\)
\(84\) 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 0.992135 0.125174i \(-0.0399490\pi\)
−0.604472 + 0.796627i \(0.706616\pi\)
\(90\) 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 −0.527579 0.849506i \(-0.676900\pi\)
0.744987 + 0.667079i \(0.232456\pi\)
\(98\) 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 −0.911129 0.412122i \(-0.864788\pi\)
0.962872 + 0.269958i \(0.0870099\pi\)
\(102\) −1.88424 4.03749i −0.186568 0.399771i
\(103\) 8.67365 + 7.27806i 0.854640 + 0.717128i 0.960806 0.277220i \(-0.0894132\pi\)
−0.106166 + 0.994348i \(0.533858\pi\)
\(104\) −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 \(0.141167\pi\)
−0.903260 + 0.429093i \(0.858833\pi\)
\(108\) 9.38734 + 4.45845i 0.903297 + 0.429015i
\(109\) 3.79557i 0.363550i 0.983340 + 0.181775i \(0.0581842\pi\)
−0.983340 + 0.181775i \(0.941816\pi\)
\(110\) 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 0.796420 0.604744i \(-0.206724\pi\)
−0.457259 + 0.889333i \(0.651169\pi\)
\(114\) 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 0.948689 0.316210i \(-0.102411\pi\)
−0.748191 + 0.663484i \(0.769077\pi\)
\(128\) −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 −0.907430 0.420203i \(-0.861959\pi\)
0.425030 0.905179i \(-0.360263\pi\)
\(132\) 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 0.963848 + 0.266454i \(0.0858519\pi\)
−0.814588 + 0.580040i \(0.803037\pi\)
\(138\) 0.562926 2.10348i 0.0479194 0.179061i
\(139\) 2.76868 + 7.60688i 0.234836 + 0.645207i 0.999999 + 0.00137051i \(0.000436247\pi\)
−0.765163 + 0.643837i \(0.777342\pi\)
\(140\) −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 0.781216 0.624260i \(-0.214600\pi\)
0.520594 + 0.853805i \(0.325711\pi\)
\(150\) −0.443033 0.206422i −0.0361735 0.0168543i
\(151\) 7.90059 6.62938i 0.642941 0.539491i −0.261979 0.965074i \(-0.584375\pi\)
0.904920 + 0.425582i \(0.139931\pi\)
\(152\) −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 −0.111763 + 0.993735i \(0.535650\pi\)
−0.959230 + 0.282626i \(0.908795\pi\)
\(158\) 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 \(-0.904153\pi\)
0.955007 0.296584i \(-0.0958473\pi\)
\(164\) −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 0.903425 0.428745i \(-0.141044\pi\)
−0.265354 + 0.964151i \(0.585489\pi\)
\(168\) −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 0.835011 0.550233i \(-0.185461\pi\)
−0.686872 + 0.726779i \(0.741017\pi\)
\(174\) 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 0.708913 0.705296i \(-0.249186\pi\)
−0.256348 + 0.966585i \(0.582519\pi\)
\(180\) −12.8593 4.67135i −0.958476 0.348182i
\(181\) 6.40756 3.69941i 0.476271 0.274975i −0.242590 0.970129i \(-0.577997\pi\)
0.718861 + 0.695154i \(0.244664\pi\)
\(182\) 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 0.506918 + 0.861994i \(0.330785\pi\)
−0.181528 + 0.983386i \(0.558104\pi\)
\(192\) 4.12295 + 13.2288i 0.297548 + 0.954707i
\(193\) −16.9847 + 6.18192i −1.22258 + 0.444984i −0.871051 0.491192i \(-0.836561\pi\)
−0.351532 + 0.936176i \(0.614339\pi\)
\(194\) −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 −0.355079 0.934836i \(-0.615546\pi\)
0.632053 + 0.774926i \(0.282213\pi\)
\(198\) 12.5754 14.7641i 0.893693 1.04924i
\(199\) −5.96011 + 10.3232i −0.422501 + 0.731793i −0.996183 0.0872848i \(-0.972181\pi\)
0.573683 + 0.819078i \(0.305514\pi\)
\(200\) 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 −0.213489 0.976945i \(-0.568483\pi\)
0.999175 + 0.0406011i \(0.0129273\pi\)
\(212\) 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 −0.0649319 0.997890i \(-0.520683\pi\)
−0.691172 + 0.722690i \(0.742905\pi\)
\(224\) 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 0.526927 0.849911i \(-0.323344\pi\)
−0.928499 + 0.371336i \(0.878900\pi\)
\(228\) 2.48034 + 25.8713i 0.164264 + 1.71337i
\(229\) 16.1662 + 2.85054i 1.06829 + 0.188369i 0.680033 0.733182i \(-0.261965\pi\)
0.388259 + 0.921550i \(0.373077\pi\)
\(230\) −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 −0.698213 0.715890i \(-0.746021\pi\)
0.969086 + 0.246725i \(0.0793544\pi\)
\(234\) −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 0.187769 0.982213i \(-0.439874\pi\)
0.775194 + 0.631724i \(0.217652\pi\)
\(240\) 11.4392 + 10.8960i 0.738399 + 0.703331i
\(241\) 3.79086 + 21.4990i 0.244191 + 1.38488i 0.822364 + 0.568961i \(0.192655\pi\)
−0.578174 + 0.815914i \(0.696234\pi\)
\(242\) −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 −0.373727 0.927539i \(-0.621920\pi\)
0.616409 + 0.787426i \(0.288587\pi\)
\(252\) 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 0.578188 + 0.815904i \(0.303760\pi\)
−0.822374 + 0.568947i \(0.807351\pi\)
\(258\) −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 −0.399812 0.916597i \(-0.630925\pi\)
−0.895451 + 0.445160i \(0.853147\pi\)
\(264\) −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 \(0.124624\pi\)
−0.924331 + 0.381592i \(0.875376\pi\)
\(270\) −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 −0.768242 0.640160i \(-0.778868\pi\)
0.999994 + 0.00342581i \(0.00109047\pi\)
\(278\) −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 −0.206446 0.978458i \(-0.566190\pi\)
0.927744 + 0.373217i \(0.121745\pi\)
\(282\) 16.3273 11.4401i 0.972279 0.681248i
\(283\) −11.1062 1.95832i −0.660194 0.116410i −0.166494 0.986042i \(-0.553245\pi\)
−0.493700 + 0.869632i \(0.664356\pi\)
\(284\) −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 −0.551896 0.833913i \(-0.686095\pi\)
−0.113252 0.993566i \(-0.536127\pi\)
\(294\) −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 0.192880 0.981222i \(-0.438217\pi\)
−0.753324 + 0.657650i \(0.771551\pi\)
\(308\) 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 −0.999487 0.0320399i \(-0.989800\pi\)
0.950168 + 0.311737i \(0.100911\pi\)
\(312\) 10.0457 22.4941i 0.568724 1.27348i
\(313\) −4.75687 + 3.99148i −0.268874 + 0.225612i −0.767249 0.641350i \(-0.778375\pi\)
0.498375 + 0.866962i \(0.333930\pi\)
\(314\) 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 0.685641 + 0.727940i \(0.259522\pi\)
−0.993142 + 0.116913i \(0.962700\pi\)
\(318\) 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 −0.962705 0.270554i \(-0.912793\pi\)
0.911383 + 0.411558i \(0.135015\pi\)
\(332\) −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 −0.709355 0.704852i \(-0.751014\pi\)
0.907649 0.419730i \(-0.137875\pi\)
\(338\) −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 0.925719 + 0.378212i \(0.123461\pi\)
−0.466031 + 0.884768i \(0.654317\pi\)
\(348\) −1.32801 + 5.12630i −0.0711888 + 0.274798i
\(349\) −1.68825 + 0.297684i −0.0903700 + 0.0159347i −0.218650 0.975803i \(-0.570165\pi\)
0.128280 + 0.991738i \(0.459054\pi\)
\(350\) −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 −0.875203 0.483756i \(-0.839272\pi\)
0.656967 0.753919i \(-0.271839\pi\)
\(354\) −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 0.866463 0.499241i \(-0.166388\pi\)
−0.865587 + 0.500759i \(0.833054\pi\)
\(360\) 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 −0.990548 0.137168i \(-0.956200\pi\)
−0.0369225 + 0.999318i \(0.511755\pi\)
\(368\) 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 −0.646138 0.763221i \(-0.723617\pi\)
0.863827 + 0.503789i \(0.168061\pi\)
\(374\) 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 \(0.200749\pi\)
−0.807631 + 0.589688i \(0.799251\pi\)
\(380\) −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 0.363759 0.931493i \(-0.381493\pi\)
−0.854176 + 0.519984i \(0.825938\pi\)
\(384\) −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 −0.999567 0.0294361i \(-0.990629\pi\)
0.144584 0.989493i \(-0.453816\pi\)
\(390\) −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 0.212049 0.977259i \(-0.431986\pi\)
0.952356 + 0.304990i \(0.0986531\pi\)
\(398\) 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 −0.717065 0.697006i \(-0.754515\pi\)
−0.101277 + 0.994858i \(0.532293\pi\)
\(402\) 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 −0.627596 0.778539i \(-0.715961\pi\)
0.0196684 + 0.999807i \(0.493739\pi\)
\(410\) 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 0.351630 0.936139i \(-0.385628\pi\)
0.0102456 + 0.999948i \(0.496739\pi\)
\(420\) −0.974699 10.1666i −0.0475604 0.496081i
\(421\) 14.2717 + 17.0084i 0.695561 + 0.828938i 0.992016 0.126109i \(-0.0402490\pi\)
−0.296455 + 0.955047i \(0.595805\pi\)
\(422\) −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 0.280667 0.959805i \(-0.409444\pi\)
−0.401947 + 0.915663i \(0.631666\pi\)
\(440\) 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 0.948609 0.316451i \(-0.102491\pi\)
−0.476368 + 0.879246i \(0.658047\pi\)
\(444\) 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 −0.378320 0.925675i \(-0.623498\pi\)
0.990818 0.135203i \(-0.0431687\pi\)
\(450\) 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 0.998588 + 0.0531319i \(0.0169204\pi\)
−0.920193 + 0.391465i \(0.871969\pi\)
\(458\) −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 −0.368982 0.929436i \(-0.620294\pi\)
−0.0288440 + 0.999584i \(0.509183\pi\)
\(462\) 13.9853 + 3.74269i 0.650656 + 0.174126i
\(463\) −18.1001 + 6.58791i −0.841184 + 0.306166i −0.726441 0.687229i \(-0.758827\pi\)
−0.114743 + 0.993395i \(0.536605\pi\)
\(464\) 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 −0.771042 0.636784i \(-0.780264\pi\)
0.165950 + 0.986134i \(0.446931\pi\)
\(468\) −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 −0.374682 0.927153i \(-0.622248\pi\)
−0.882986 + 0.469400i \(0.844470\pi\)
\(480\) −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 −0.717875 0.696172i \(-0.754885\pi\)
0.810253 + 0.586080i \(0.199330\pi\)
\(492\) 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 −0.727575 0.686028i \(-0.759353\pi\)
−0.918332 + 0.395810i \(0.870464\pi\)
\(500\) 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 −0.871591 0.490234i \(-0.836911\pi\)
0.860350 + 0.509703i \(0.170245\pi\)
\(504\) −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 0.763809 + 0.645442i \(0.223327\pi\)
−0.170229 + 0.985404i \(0.554451\pi\)
\(510\) −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 0.822195 0.569207i \(-0.192750\pi\)
−0.904045 + 0.427438i \(0.859416\pi\)
\(522\) 2.17319 + 6.11073i 0.0951177 + 0.267459i
\(523\) −24.2166 13.9814i −1.05892 0.611365i −0.133784 0.991011i \(-0.542713\pi\)
−0.925132 + 0.379645i \(0.876046\pi\)
\(524\) −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 \(0.0784461\pi\)
−0.969786 + 0.243959i \(0.921554\pi\)
\(542\) −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 0.690921 + 0.722930i \(0.257205\pi\)
−0.993967 + 0.109681i \(0.965017\pi\)
\(548\) 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 −0.392766 0.919638i \(-0.628482\pi\)
−0.992813 + 0.119673i \(0.961815\pi\)
\(558\) −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 0.997289 0.0735797i \(-0.0234423\pi\)
−0.811264 + 0.584680i \(0.801220\pi\)
\(564\) −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 −0.998535 0.0541184i \(-0.982765\pi\)
0.919806 0.392374i \(-0.128346\pi\)
\(570\) −29.6410 29.6225i −1.24152 1.24075i
\(571\) 10.2558 + 28.1775i 0.429190 + 1.17919i 0.946305 + 0.323274i \(0.104784\pi\)
−0.517115 + 0.855916i \(0.672994\pi\)
\(572\) −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 −0.636185 0.771536i \(-0.719489\pi\)
0.986263 + 0.165184i \(0.0528219\pi\)
\(578\) −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 −0.667052 0.745012i \(-0.732444\pi\)
0.989875 0.141939i \(-0.0453338\pi\)
\(588\) 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 0.765254 0.643728i \(-0.222613\pi\)
−0.501063 + 0.865411i \(0.667058\pi\)
\(600\) −0.975065 0.0692973i −0.0398069 0.00282905i
\(601\) −10.2943 3.74683i −0.419915 0.152836i 0.123416 0.992355i \(-0.460615\pi\)
−0.543331 + 0.839519i \(0.682837\pi\)
\(602\) −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 −0.689212 0.724559i \(-0.742043\pi\)
0.895462 0.445138i \(-0.146846\pi\)
\(608\) −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 −0.591321 0.806437i \(-0.701393\pi\)
0.402734 + 0.915317i \(0.368060\pi\)
\(614\) 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 0.573113 0.819477i \(-0.305736\pi\)
0.965779 + 0.259366i \(0.0835135\pi\)
\(618\) 26.7874 7.18660i 1.07755 0.289088i
\(619\) 15.6107 2.75259i 0.627447 0.110636i 0.149122 0.988819i \(-0.452355\pi\)
0.478325 + 0.878183i \(0.341244\pi\)
\(620\) 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 −0.734470 0.678642i \(-0.762569\pi\)
0.954956 + 0.296748i \(0.0959023\pi\)
\(632\) 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 0.0395664 0.999217i \(-0.487402\pi\)
−0.611975 + 0.790877i \(0.709625\pi\)
\(642\) 17.8159 + 12.4666i 0.703138 + 0.492016i
\(643\) 10.7001 12.7519i 0.421970 0.502884i −0.512618 0.858617i \(-0.671324\pi\)
0.934588 + 0.355733i \(0.115769\pi\)
\(644\) −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 −0.998106 0.0615108i \(-0.980408\pi\)
0.233896 + 0.972262i \(0.424853\pi\)
\(654\) 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 0.994202 0.107533i \(-0.0342951\pi\)
−0.278541 + 0.960424i \(0.589851\pi\)
\(660\) 14.9871 32.8503i 0.583374 1.27870i
\(661\) 1.85841 + 0.327688i 0.0722838 + 0.0127456i 0.209673 0.977772i \(-0.432760\pi\)
−0.137389 + 0.990517i \(0.543871\pi\)
\(662\) 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 0.968080 0.250642i \(-0.0806416\pi\)
−0.995422 + 0.0955768i \(0.969530\pi\)
\(674\) 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 0.0390158 0.999239i \(-0.487578\pi\)
0.378423 + 0.925633i \(0.376467\pi\)
\(678\) 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 0.284879 0.958563i \(-0.408047\pi\)
0.972580 + 0.232569i \(0.0747132\pi\)
\(684\) −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 0.449667 0.893196i \(-0.351543\pi\)
−0.957710 + 0.287734i \(0.907098\pi\)
\(692\) 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 \(-0.700626\pi\)
0.589375 0.807860i \(-0.299374\pi\)
\(702\) −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 −0.622638 0.782510i \(-0.713939\pi\)
0.979956 0.199214i \(-0.0638388\pi\)
\(710\) −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 −0.345986 0.938240i \(-0.612456\pi\)
0.985532 0.169487i \(-0.0542112\pi\)
\(720\) −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 −0.708285 0.705926i \(-0.750531\pi\)
0.424130 0.905601i \(-0.360580\pi\)
\(728\) 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 −0.999990 0.00455803i \(-0.998549\pi\)
0.763107 0.646273i \(-0.223673\pi\)
\(734\) 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 0.952101 0.305783i \(-0.0989183\pi\)
0.211235 + 0.977435i \(0.432252\pi\)
\(740\) −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 −0.983463 0.181110i \(-0.942031\pi\)
0.986096 + 0.166176i \(0.0531420\pi\)
\(744\) 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 0.815794 0.578343i \(-0.196301\pi\)
−0.427896 + 0.903828i \(0.640745\pi\)
\(752\) 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 \(0.0345442\pi\)
−0.994117 + 0.108311i \(0.965456\pi\)
\(758\) −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 0.281886 0.959448i \(-0.409040\pi\)
−0.895923 + 0.444210i \(0.853484\pi\)
\(762\) 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 0.755830 + 0.654768i \(0.227234\pi\)
−0.934192 + 0.356772i \(0.883877\pi\)
\(770\) −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 10.0810i −0.628024 0.362590i