Properties

Label 588.2.x.a.55.5
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.5
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.20909 + 0.733551i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.923805 - 1.77386i) q^{4} +(-0.0202251 + 0.0419978i) q^{5} +(1.40763 - 0.136302i) q^{6} +(2.50508 - 0.851222i) q^{7} +(0.184253 + 2.82242i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-1.20909 + 0.733551i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.923805 - 1.77386i) q^{4} +(-0.0202251 + 0.0419978i) q^{5} +(1.40763 - 0.136302i) q^{6} +(2.50508 - 0.851222i) q^{7} +(0.184253 + 2.82242i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.00635357 - 0.0656153i) q^{10} +(4.22358 + 3.36820i) q^{11} +(-1.60197 + 1.19737i) q^{12} +(-4.09819 - 3.26819i) q^{13} +(-2.40446 + 2.86681i) q^{14} +(0.0364443 - 0.0290634i) q^{15} +(-2.29317 - 3.27740i) q^{16} +(-1.81779 - 0.414899i) q^{17} +(-1.32737 - 0.487944i) q^{18} -3.64310 q^{19} +(0.0558143 + 0.0746743i) q^{20} +(-2.62633 - 0.319989i) q^{21} +(-7.57745 - 0.974242i) q^{22} +(7.77277 - 1.77408i) q^{23} +(1.05860 - 2.62286i) q^{24} +(3.11609 + 3.90746i) q^{25} +(7.35247 + 0.945317i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(0.804255 - 5.23003i) q^{28} +(0.460848 - 2.01911i) q^{29} +(-0.0227451 + 0.0618741i) q^{30} +6.23384 q^{31} +(5.17679 + 2.28053i) q^{32} +(-2.34391 - 4.86719i) q^{33} +(2.50222 - 0.831791i) q^{34} +(-0.0149160 + 0.122424i) q^{35} +(1.96284 - 0.383725i) q^{36} +(1.79149 - 7.84902i) q^{37} +(4.40485 - 2.67240i) q^{38} +(2.27432 + 4.72268i) q^{39} +(-0.122262 - 0.0493454i) q^{40} +(-1.75191 + 3.63789i) q^{41} +(3.41020 - 1.53965i) q^{42} +(2.31404 + 4.80515i) q^{43} +(9.87648 - 4.38050i) q^{44} +(-0.0454453 + 0.0103726i) q^{45} +(-8.09661 + 7.84675i) q^{46} +(0.371672 - 0.466062i) q^{47} +(0.644061 + 3.94781i) q^{48} +(5.55084 - 4.26476i) q^{49} +(-6.63396 - 2.43866i) q^{50} +(1.45775 + 1.16252i) q^{51} +(-9.58325 + 4.25044i) q^{52} +(0.113587 + 0.497658i) q^{53} +(0.984208 + 1.01555i) q^{54} +(-0.226879 + 0.109259i) q^{55} +(2.86407 + 6.91354i) q^{56} +(3.28232 + 1.58068i) q^{57} +(0.923910 + 2.77934i) q^{58} +(3.00005 - 1.44475i) q^{59} +(-0.0178870 - 0.0914961i) q^{60} +(12.0386 + 2.74773i) q^{61} +(-7.53728 + 4.57284i) q^{62} +(2.22740 + 1.42782i) q^{63} +(-7.93210 + 1.04008i) q^{64} +(0.220143 - 0.106015i) q^{65} +(6.40434 + 4.16549i) q^{66} -9.62227i q^{67} +(-2.41526 + 2.84122i) q^{68} +(-7.77277 - 1.77408i) q^{69} +(-0.0717694 - 0.158963i) q^{70} +(1.82800 - 0.417230i) q^{71} +(-2.09178 + 1.90380i) q^{72} +(7.50927 - 5.98844i) q^{73} +(3.59158 + 10.8043i) q^{74} +(-1.11212 - 4.87252i) q^{75} +(-3.36552 + 6.46236i) q^{76} +(13.4475 + 4.84239i) q^{77} +(-6.21419 - 4.04182i) q^{78} -6.41351i q^{79} +(0.184023 - 0.0300223i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.550352 - 5.68366i) q^{82} +(2.99386 + 3.75418i) q^{83} +(-2.99383 + 4.36314i) q^{84} +(0.0541898 - 0.0679518i) q^{85} +(-6.32271 - 4.11240i) q^{86} +(-1.29127 + 1.61920i) q^{87} +(-8.72825 + 12.5413i) q^{88} +(-12.8025 + 10.2097i) q^{89} +(0.0473388 - 0.0458779i) q^{90} +(-13.0482 - 4.69862i) q^{91} +(4.03354 - 15.4267i) q^{92} +(-5.61649 - 2.70476i) q^{93} +(-0.107505 + 0.836153i) q^{94} +(0.0736821 - 0.153002i) q^{95} +(-3.67465 - 4.30081i) q^{96} -6.08284i q^{97} +(-3.58306 + 9.22831i) q^{98} +5.40217i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20909 + 0.733551i −0.854957 + 0.518699i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) 0.923805 1.77386i 0.461903 0.886931i
\(5\) −0.0202251 + 0.0419978i −0.00904493 + 0.0187820i −0.905442 0.424469i \(-0.860461\pi\)
0.896397 + 0.443251i \(0.146175\pi\)
\(6\) 1.40763 0.136302i 0.574662 0.0556449i
\(7\) 2.50508 0.851222i 0.946831 0.321732i
\(8\) 0.184253 + 2.82242i 0.0651434 + 0.997876i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −0.00635357 0.0656153i −0.00200918 0.0207494i
\(11\) 4.22358 + 3.36820i 1.27346 + 1.01555i 0.998536 + 0.0540831i \(0.0172236\pi\)
0.274922 + 0.961466i \(0.411348\pi\)
\(12\) −1.60197 + 1.19737i −0.462449 + 0.345651i
\(13\) −4.09819 3.26819i −1.13663 0.906434i −0.140141 0.990132i \(-0.544756\pi\)
−0.996491 + 0.0836975i \(0.973327\pi\)
\(14\) −2.40446 + 2.86681i −0.642618 + 0.766187i
\(15\) 0.0364443 0.0290634i 0.00940989 0.00750414i
\(16\) −2.29317 3.27740i −0.573292 0.819351i
\(17\) −1.81779 0.414899i −0.440879 0.100628i −0.00368123 0.999993i \(-0.501172\pi\)
−0.437197 + 0.899366i \(0.644029\pi\)
\(18\) −1.32737 0.487944i −0.312864 0.115010i
\(19\) −3.64310 −0.835785 −0.417893 0.908496i \(-0.637231\pi\)
−0.417893 + 0.908496i \(0.637231\pi\)
\(20\) 0.0558143 + 0.0746743i 0.0124805 + 0.0166977i
\(21\) −2.62633 0.319989i −0.573112 0.0698273i
\(22\) −7.57745 0.974242i −1.61552 0.207709i
\(23\) 7.77277 1.77408i 1.62073 0.369922i 0.686654 0.726985i \(-0.259079\pi\)
0.934080 + 0.357063i \(0.116222\pi\)
\(24\) 1.05860 2.62286i 0.216085 0.535388i
\(25\) 3.11609 + 3.90746i 0.623219 + 0.781492i
\(26\) 7.35247 + 0.945317i 1.44194 + 0.185392i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) 0.804255 5.23003i 0.151990 0.988382i
\(29\) 0.460848 2.01911i 0.0855773 0.374938i −0.913945 0.405838i \(-0.866980\pi\)
0.999523 + 0.0308990i \(0.00983703\pi\)
\(30\) −0.0227451 + 0.0618741i −0.00415266 + 0.0112966i
\(31\) 6.23384 1.11963 0.559815 0.828618i \(-0.310872\pi\)
0.559815 + 0.828618i \(0.310872\pi\)
\(32\) 5.17679 + 2.28053i 0.915137 + 0.403144i
\(33\) −2.34391 4.86719i −0.408023 0.847268i
\(34\) 2.50222 0.831791i 0.429128 0.142651i
\(35\) −0.0149160 + 0.122424i −0.00252126 + 0.0206934i
\(36\) 1.96284 0.383725i 0.327141 0.0639541i
\(37\) 1.79149 7.84902i 0.294519 1.29037i −0.583645 0.812009i \(-0.698374\pi\)
0.878163 0.478361i \(-0.158769\pi\)
\(38\) 4.40485 2.67240i 0.714561 0.433521i
\(39\) 2.27432 + 4.72268i 0.364183 + 0.756234i
\(40\) −0.122262 0.0493454i −0.0193313 0.00780220i
\(41\) −1.75191 + 3.63789i −0.273603 + 0.568142i −0.991815 0.127682i \(-0.959246\pi\)
0.718212 + 0.695824i \(0.244961\pi\)
\(42\) 3.41020 1.53965i 0.526205 0.237573i
\(43\) 2.31404 + 4.80515i 0.352888 + 0.732779i 0.999550 0.0299974i \(-0.00954991\pi\)
−0.646662 + 0.762777i \(0.723836\pi\)
\(44\) 9.87648 4.38050i 1.48894 0.660385i
\(45\) −0.0454453 + 0.0103726i −0.00677459 + 0.00154626i
\(46\) −8.09661 + 7.84675i −1.19378 + 1.15694i
\(47\) 0.371672 0.466062i 0.0542140 0.0679822i −0.753985 0.656891i \(-0.771871\pi\)
0.808199 + 0.588909i \(0.200442\pi\)
\(48\) 0.644061 + 3.94781i 0.0929622 + 0.569817i
\(49\) 5.55084 4.26476i 0.792978 0.609251i
\(50\) −6.63396 2.43866i −0.938184 0.344879i
\(51\) 1.45775 + 1.16252i 0.204126 + 0.162785i
\(52\) −9.58325 + 4.25044i −1.32896 + 0.589430i
\(53\) 0.113587 + 0.497658i 0.0156024 + 0.0683586i 0.982130 0.188205i \(-0.0602669\pi\)
−0.966527 + 0.256563i \(0.917410\pi\)
\(54\) 0.984208 + 1.01555i 0.133934 + 0.138198i
\(55\) −0.226879 + 0.109259i −0.0305924 + 0.0147325i
\(56\) 2.86407 + 6.91354i 0.382728 + 0.923861i
\(57\) 3.28232 + 1.58068i 0.434754 + 0.209367i
\(58\) 0.923910 + 2.77934i 0.121315 + 0.364945i
\(59\) 3.00005 1.44475i 0.390573 0.188090i −0.228282 0.973595i \(-0.573311\pi\)
0.618856 + 0.785505i \(0.287597\pi\)
\(60\) −0.0178870 0.0914961i −0.00230920 0.0118121i
\(61\) 12.0386 + 2.74773i 1.54138 + 0.351811i 0.906974 0.421187i \(-0.138386\pi\)
0.634409 + 0.772998i \(0.281244\pi\)
\(62\) −7.53728 + 4.57284i −0.957235 + 0.580751i
\(63\) 2.22740 + 1.42782i 0.280626 + 0.179889i
\(64\) −7.93210 + 1.04008i −0.991513 + 0.130010i
\(65\) 0.220143 0.106015i 0.0273054 0.0131496i
\(66\) 6.40434 + 4.16549i 0.788319 + 0.512737i
\(67\) 9.62227i 1.17555i −0.809025 0.587774i \(-0.800004\pi\)
0.809025 0.587774i \(-0.199996\pi\)
\(68\) −2.41526 + 2.84122i −0.292893 + 0.344549i
\(69\) −7.77277 1.77408i −0.935731 0.213575i
\(70\) −0.0717694 0.158963i −0.00857809 0.0189998i
\(71\) 1.82800 0.417230i 0.216944 0.0495161i −0.112667 0.993633i \(-0.535939\pi\)
0.329611 + 0.944117i \(0.393082\pi\)
\(72\) −2.09178 + 1.90380i −0.246518 + 0.224366i
\(73\) 7.50927 5.98844i 0.878894 0.700894i −0.0762337 0.997090i \(-0.524290\pi\)
0.955127 + 0.296196i \(0.0957181\pi\)
\(74\) 3.59158 + 10.8043i 0.417513 + 1.25598i
\(75\) −1.11212 4.87252i −0.128417 0.562630i
\(76\) −3.36552 + 6.46236i −0.386051 + 0.741284i
\(77\) 13.4475 + 4.84239i 1.53248 + 0.551842i
\(78\) −6.21419 4.04182i −0.703618 0.457646i
\(79\) 6.41351i 0.721576i −0.932648 0.360788i \(-0.882508\pi\)
0.932648 0.360788i \(-0.117492\pi\)
\(80\) 0.184023 0.0300223i 0.0205744 0.00335660i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −0.550352 5.68366i −0.0607762 0.627655i
\(83\) 2.99386 + 3.75418i 0.328619 + 0.412075i 0.918504 0.395412i \(-0.129398\pi\)
−0.589885 + 0.807487i \(0.700827\pi\)
\(84\) −2.99383 + 4.36314i −0.326654 + 0.476057i
\(85\) 0.0541898 0.0679518i 0.00587771 0.00737041i
\(86\) −6.32271 4.11240i −0.681796 0.443452i
\(87\) −1.29127 + 1.61920i −0.138438 + 0.173596i
\(88\) −8.72825 + 12.5413i −0.930435 + 1.33691i
\(89\) −12.8025 + 10.2097i −1.35706 + 1.08222i −0.368794 + 0.929511i \(0.620229\pi\)
−0.988271 + 0.152712i \(0.951199\pi\)
\(90\) 0.0473388 0.0458779i 0.00498994 0.00483596i
\(91\) −13.0482 4.69862i −1.36783 0.492549i
\(92\) 4.03354 15.4267i 0.420526 1.60835i
\(93\) −5.61649 2.70476i −0.582403 0.280471i
\(94\) −0.107505 + 0.836153i −0.0110883 + 0.0862426i
\(95\) 0.0736821 0.153002i 0.00755962 0.0156977i
\(96\) −3.67465 4.30081i −0.375042 0.438950i
\(97\) 6.08284i 0.617618i −0.951124 0.308809i \(-0.900070\pi\)
0.951124 0.308809i \(-0.0999305\pi\)
\(98\) −3.58306 + 9.22831i −0.361944 + 0.932200i
\(99\) 5.40217i 0.542938i
\(100\) 9.80995 1.91779i 0.980995 0.191779i
\(101\) 2.27205 4.71797i 0.226078 0.469455i −0.756816 0.653628i \(-0.773246\pi\)
0.982894 + 0.184173i \(0.0589605\pi\)
\(102\) −2.61533 0.336256i −0.258956 0.0332943i
\(103\) 15.4641 + 7.44714i 1.52373 + 0.733788i 0.993475 0.114052i \(-0.0363830\pi\)
0.530252 + 0.847840i \(0.322097\pi\)
\(104\) 8.46911 12.1690i 0.830465 1.19327i
\(105\) 0.0665566 0.103828i 0.00649526 0.0101326i
\(106\) −0.502395 0.518392i −0.0487969 0.0503507i
\(107\) 4.24003 3.38131i 0.409899 0.326883i −0.396737 0.917932i \(-0.629857\pi\)
0.806636 + 0.591049i \(0.201286\pi\)
\(108\) −1.93495 0.505922i −0.186191 0.0486824i
\(109\) −10.5405 + 13.2174i −1.00960 + 1.26600i −0.0459163 + 0.998945i \(0.514621\pi\)
−0.963682 + 0.267051i \(0.913951\pi\)
\(110\) 0.194171 0.298532i 0.0185134 0.0284639i
\(111\) −5.01963 + 6.29442i −0.476443 + 0.597440i
\(112\) −8.53437 6.25816i −0.806422 0.591341i
\(113\) −8.37381 10.5004i −0.787742 0.987797i −0.999944 0.0105709i \(-0.996635\pi\)
0.212203 0.977226i \(-0.431936\pi\)
\(114\) −5.12814 + 0.496561i −0.480295 + 0.0465072i
\(115\) −0.0826972 + 0.362320i −0.00771156 + 0.0337865i
\(116\) −3.15588 2.68274i −0.293016 0.249086i
\(117\) 5.24178i 0.484602i
\(118\) −2.56754 + 3.94752i −0.236361 + 0.363399i
\(119\) −4.90688 + 0.507988i −0.449813 + 0.0465672i
\(120\) 0.0887441 + 0.0975062i 0.00810119 + 0.00890106i
\(121\) 4.04619 + 17.7275i 0.367836 + 1.61159i
\(122\) −16.5714 + 5.50866i −1.50030 + 0.498731i
\(123\) 3.15684 2.51750i 0.284643 0.226995i
\(124\) 5.75885 11.0580i 0.517160 0.993034i
\(125\) −0.454355 + 0.103704i −0.0406387 + 0.00927552i
\(126\) −3.74052 0.0924527i −0.333232 0.00823635i
\(127\) −16.5222 3.77108i −1.46611 0.334629i −0.586352 0.810057i \(-0.699436\pi\)
−0.879755 + 0.475427i \(0.842293\pi\)
\(128\) 8.82768 7.07616i 0.780264 0.625450i
\(129\) 5.33332i 0.469573i
\(130\) −0.188406 + 0.289669i −0.0165243 + 0.0254056i
\(131\) 0.352038 0.169532i 0.0307577 0.0148121i −0.418442 0.908244i \(-0.637424\pi\)
0.449199 + 0.893432i \(0.351709\pi\)
\(132\) −10.7990 0.338554i −0.939935 0.0294673i
\(133\) −9.12626 + 3.10109i −0.791348 + 0.268899i
\(134\) 7.05843 + 11.6342i 0.609756 + 1.00504i
\(135\) 0.0454453 + 0.0103726i 0.00391131 + 0.000892732i
\(136\) 0.836084 5.20701i 0.0716936 0.446497i
\(137\) 4.71687 2.27152i 0.402989 0.194069i −0.221399 0.975183i \(-0.571062\pi\)
0.624389 + 0.781114i \(0.285348\pi\)
\(138\) 10.6994 3.55669i 0.910791 0.302766i
\(139\) −10.8589 5.22936i −0.921039 0.443549i −0.0875968 0.996156i \(-0.527919\pi\)
−0.833442 + 0.552607i \(0.813633\pi\)
\(140\) 0.203384 + 0.139555i 0.0171890 + 0.0117945i
\(141\) −0.537082 + 0.258645i −0.0452305 + 0.0217818i
\(142\) −1.90416 + 1.84540i −0.159794 + 0.154863i
\(143\) −6.30112 27.6070i −0.526926 2.30861i
\(144\) 1.13261 3.83630i 0.0943842 0.319692i
\(145\) 0.0754773 + 0.0601912i 0.00626805 + 0.00499860i
\(146\) −4.68657 + 12.7490i −0.387863 + 1.05512i
\(147\) −6.85155 + 1.43399i −0.565106 + 0.118274i
\(148\) −12.2681 10.4288i −1.00843 0.857243i
\(149\) −12.8149 + 16.0694i −1.04984 + 1.31646i −0.103024 + 0.994679i \(0.532852\pi\)
−0.946815 + 0.321778i \(0.895720\pi\)
\(150\) 4.91890 + 5.07553i 0.401627 + 0.414415i
\(151\) 12.4520 2.84209i 1.01333 0.231286i 0.316554 0.948574i \(-0.397474\pi\)
0.696776 + 0.717288i \(0.254617\pi\)
\(152\) −0.671254 10.2824i −0.0544459 0.834010i
\(153\) −0.808992 1.67989i −0.0654032 0.135811i
\(154\) −19.8114 + 4.00953i −1.59645 + 0.323097i
\(155\) −0.126080 + 0.261807i −0.0101270 + 0.0210289i
\(156\) 10.4784 + 0.328502i 0.838944 + 0.0263012i
\(157\) −7.88108 16.3652i −0.628978 1.30609i −0.935198 0.354126i \(-0.884778\pi\)
0.306219 0.951961i \(-0.400936\pi\)
\(158\) 4.70464 + 7.75452i 0.374281 + 0.616917i
\(159\) 0.113587 0.497658i 0.00900805 0.0394669i
\(160\) −0.200478 + 0.171290i −0.0158492 + 0.0135417i
\(161\) 17.9613 11.0606i 1.41555 0.871695i
\(162\) −0.446111 1.34201i −0.0350498 0.105438i
\(163\) 0.749849 + 1.55708i 0.0587327 + 0.121960i 0.928269 0.371909i \(-0.121297\pi\)
−0.869537 + 0.493869i \(0.835582\pi\)
\(164\) 4.83468 + 6.46835i 0.377525 + 0.505093i
\(165\) 0.251817 0.0196039
\(166\) −6.37374 2.34300i −0.494698 0.181852i
\(167\) −5.01762 + 21.9836i −0.388275 + 1.70114i 0.282320 + 0.959320i \(0.408896\pi\)
−0.670595 + 0.741823i \(0.733961\pi\)
\(168\) 0.419233 7.47156i 0.0323445 0.576444i
\(169\) 3.22126 + 14.1133i 0.247789 + 1.08564i
\(170\) −0.0156743 + 0.121911i −0.00120216 + 0.00935014i
\(171\) −2.27144 2.84829i −0.173701 0.217814i
\(172\) 10.6614 + 0.334239i 0.812924 + 0.0254855i
\(173\) −15.7733 + 3.60016i −1.19922 + 0.273715i −0.775070 0.631875i \(-0.782286\pi\)
−0.424154 + 0.905590i \(0.639429\pi\)
\(174\) 0.373495 2.90497i 0.0283146 0.220225i
\(175\) 11.1322 + 7.13601i 0.841513 + 0.539431i
\(176\) 1.35355 21.5662i 0.102028 1.62562i
\(177\) −3.32980 −0.250283
\(178\) 7.99011 21.7357i 0.598884 1.62916i
\(179\) 0.240257 + 0.0548370i 0.0179576 + 0.00409871i 0.231490 0.972837i \(-0.425640\pi\)
−0.213533 + 0.976936i \(0.568497\pi\)
\(180\) −0.0235831 + 0.0901960i −0.00175778 + 0.00672281i
\(181\) −5.83782 + 4.65550i −0.433921 + 0.346041i −0.815963 0.578104i \(-0.803793\pi\)
0.382041 + 0.924145i \(0.375221\pi\)
\(182\) 19.2232 3.89049i 1.42492 0.288382i
\(183\) −9.65420 7.69896i −0.713659 0.569124i
\(184\) 6.43937 + 21.6111i 0.474716 + 1.59319i
\(185\) 0.293409 + 0.233986i 0.0215718 + 0.0172030i
\(186\) 8.77493 0.849682i 0.643409 0.0623017i
\(187\) −6.28013 7.87503i −0.459248 0.575879i
\(188\) −0.483377 1.08985i −0.0352539 0.0794852i
\(189\) −1.38731 2.25286i −0.100912 0.163871i
\(190\) 0.0231467 + 0.239044i 0.00167924 + 0.0173420i
\(191\) −0.526785 + 1.09388i −0.0381168 + 0.0791504i −0.919158 0.393890i \(-0.871129\pi\)
0.881041 + 0.473040i \(0.156843\pi\)
\(192\) 7.59785 + 2.50453i 0.548328 + 0.180749i
\(193\) 9.04236 + 4.35457i 0.650884 + 0.313449i 0.730031 0.683414i \(-0.239506\pi\)
−0.0791475 + 0.996863i \(0.525220\pi\)
\(194\) 4.46207 + 7.35471i 0.320358 + 0.528037i
\(195\) −0.244340 −0.0174976
\(196\) −2.43719 13.7862i −0.174085 0.984731i
\(197\) −11.0226 −0.785329 −0.392664 0.919682i \(-0.628447\pi\)
−0.392664 + 0.919682i \(0.628447\pi\)
\(198\) −3.96277 6.53172i −0.281622 0.464189i
\(199\) −7.21398 3.47407i −0.511386 0.246270i 0.160351 0.987060i \(-0.448737\pi\)
−0.671737 + 0.740790i \(0.734452\pi\)
\(200\) −10.4543 + 9.51489i −0.739233 + 0.672804i
\(201\) −4.17495 + 8.66937i −0.294478 + 0.611490i
\(202\) 0.713750 + 7.37112i 0.0502193 + 0.518630i
\(203\) −0.564247 5.45030i −0.0396023 0.382536i
\(204\) 3.40883 1.51191i 0.238666 0.105855i
\(205\) −0.117351 0.147153i −0.00819613 0.0102776i
\(206\) −24.1604 + 2.33947i −1.68334 + 0.162998i
\(207\) 6.23328 + 4.97087i 0.433243 + 0.345499i
\(208\) −1.31336 + 20.9259i −0.0910653 + 1.45095i
\(209\) −15.3870 12.2707i −1.06434 0.848781i
\(210\) −0.00430960 + 0.174361i −0.000297391 + 0.0120320i
\(211\) −2.57719 + 2.05524i −0.177421 + 0.141489i −0.708174 0.706038i \(-0.750481\pi\)
0.530753 + 0.847527i \(0.321909\pi\)
\(212\) 0.987709 + 0.258251i 0.0678361 + 0.0177368i
\(213\) −1.82800 0.417230i −0.125253 0.0285881i
\(214\) −2.64622 + 7.19859i −0.180892 + 0.492085i
\(215\) −0.248608 −0.0169549
\(216\) 2.71066 0.807681i 0.184437 0.0549557i
\(217\) 15.6163 5.30638i 1.06010 0.360220i
\(218\) 3.04882 23.7131i 0.206492 1.60605i
\(219\) −9.36391 + 2.13725i −0.632754 + 0.144422i
\(220\) −0.0157814 + 0.503387i −0.00106398 + 0.0339383i
\(221\) 6.09367 + 7.64122i 0.409905 + 0.514004i
\(222\) 1.45192 11.2927i 0.0974462 0.757916i
\(223\) 3.49760 + 15.3240i 0.234217 + 1.02617i 0.946100 + 0.323874i \(0.104985\pi\)
−0.711883 + 0.702298i \(0.752158\pi\)
\(224\) 14.9095 + 1.30630i 0.996184 + 0.0872806i
\(225\) −1.11212 + 4.87252i −0.0741414 + 0.324835i
\(226\) 17.8273 + 6.55336i 1.18585 + 0.435923i
\(227\) −14.8216 −0.983742 −0.491871 0.870668i \(-0.663687\pi\)
−0.491871 + 0.870668i \(0.663687\pi\)
\(228\) 5.83614 4.36214i 0.386508 0.288890i
\(229\) 5.04858 + 10.4835i 0.333619 + 0.692768i 0.998533 0.0541526i \(-0.0172458\pi\)
−0.664913 + 0.746921i \(0.731531\pi\)
\(230\) −0.165792 0.498741i −0.0109320 0.0328860i
\(231\) −10.0147 10.1975i −0.658922 0.670946i
\(232\) 5.78368 + 0.928678i 0.379717 + 0.0609707i
\(233\) −2.35978 + 10.3389i −0.154594 + 0.677322i 0.836920 + 0.547325i \(0.184354\pi\)
−0.991514 + 0.129997i \(0.958503\pi\)
\(234\) 3.84511 + 6.33779i 0.251363 + 0.414314i
\(235\) 0.0120565 + 0.0250356i 0.000786479 + 0.00163314i
\(236\) 0.208679 6.65634i 0.0135838 0.433291i
\(237\) −2.78272 + 5.77837i −0.180757 + 0.375346i
\(238\) 5.56023 4.21365i 0.360416 0.273130i
\(239\) 8.65838 + 17.9793i 0.560064 + 1.16299i 0.968226 + 0.250076i \(0.0804555\pi\)
−0.408162 + 0.912909i \(0.633830\pi\)
\(240\) −0.178825 0.0527956i −0.0115431 0.00340794i
\(241\) 18.2252 4.15979i 1.17399 0.267956i 0.409329 0.912387i \(-0.365763\pi\)
0.764662 + 0.644431i \(0.222906\pi\)
\(242\) −17.8963 18.4661i −1.15042 1.18705i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) 15.9954 18.8164i 1.02400 1.20460i
\(245\) 0.0668442 + 0.319378i 0.00427052 + 0.0204043i
\(246\) −1.97020 + 5.35959i −0.125615 + 0.341715i
\(247\) 14.9301 + 11.9064i 0.949981 + 0.757584i
\(248\) 1.14861 + 17.5945i 0.0729365 + 1.11725i
\(249\) −1.06850 4.68139i −0.0677132 0.296671i
\(250\) 0.473285 0.458680i 0.0299331 0.0290094i
\(251\) −14.3874 + 6.92863i −0.908127 + 0.437331i −0.828818 0.559519i \(-0.810986\pi\)
−0.0793098 + 0.996850i \(0.525272\pi\)
\(252\) 4.59044 2.63208i 0.289171 0.165805i
\(253\) 38.8044 + 18.6872i 2.43961 + 1.17486i
\(254\) 22.7431 7.56029i 1.42703 0.474375i
\(255\) −0.0783065 + 0.0377104i −0.00490374 + 0.00236152i
\(256\) −5.48276 + 15.0313i −0.342672 + 0.939455i
\(257\) 13.7431 + 3.13677i 0.857270 + 0.195666i 0.628495 0.777813i \(-0.283671\pi\)
0.228774 + 0.973480i \(0.426528\pi\)
\(258\) 3.91226 + 6.44847i 0.243567 + 0.401464i
\(259\) −2.19344 21.1874i −0.136294 1.31652i
\(260\) 0.0153128 0.488441i 0.000949660 0.0302918i
\(261\) 1.86593 0.898587i 0.115498 0.0556211i
\(262\) −0.301285 + 0.463218i −0.0186135 + 0.0286177i
\(263\) 17.2157i 1.06156i −0.847509 0.530781i \(-0.821898\pi\)
0.847509 0.530781i \(-0.178102\pi\)
\(264\) 13.3054 7.51230i 0.818889 0.462350i
\(265\) −0.0231979 0.00529476i −0.00142503 0.000325255i
\(266\) 8.75968 10.4441i 0.537091 0.640368i
\(267\) 15.9645 3.64379i 0.977011 0.222996i
\(268\) −17.0686 8.88910i −1.04263 0.542988i
\(269\) −0.966429 + 0.770701i −0.0589242 + 0.0469905i −0.652509 0.757781i \(-0.726284\pi\)
0.593585 + 0.804771i \(0.297712\pi\)
\(270\) −0.0625564 + 0.0207951i −0.00380706 + 0.00126555i
\(271\) 1.98137 + 8.68095i 0.120360 + 0.527330i 0.998777 + 0.0494363i \(0.0157425\pi\)
−0.878418 + 0.477894i \(0.841400\pi\)
\(272\) 2.80871 + 6.90906i 0.170303 + 0.418923i
\(273\) 9.71740 + 9.89473i 0.588124 + 0.598856i
\(274\) −4.03685 + 6.20655i −0.243875 + 0.374951i
\(275\) 26.9991i 1.62811i
\(276\) −10.3275 + 12.1489i −0.621642 + 0.731278i
\(277\) −0.652312 + 2.85797i −0.0391937 + 0.171719i −0.990737 0.135797i \(-0.956640\pi\)
0.951543 + 0.307516i \(0.0994976\pi\)
\(278\) 16.9654 1.64277i 1.01752 0.0985268i
\(279\) 3.88673 + 4.87381i 0.232693 + 0.291787i
\(280\) −0.348280 0.0195421i −0.0208137 0.00116787i
\(281\) 2.02682 2.54155i 0.120910 0.151616i −0.717693 0.696360i \(-0.754802\pi\)
0.838602 + 0.544744i \(0.183373\pi\)
\(282\) 0.459652 0.706703i 0.0273719 0.0420835i
\(283\) −15.0553 + 18.8788i −0.894946 + 1.12223i 0.0969649 + 0.995288i \(0.469087\pi\)
−0.991911 + 0.126939i \(0.959485\pi\)
\(284\) 0.948611 3.62806i 0.0562897 0.215286i
\(285\) −0.132771 + 0.105881i −0.00786465 + 0.00627185i
\(286\) 27.8698 + 28.7572i 1.64797 + 1.70045i
\(287\) −1.29203 + 10.6045i −0.0762664 + 0.625961i
\(288\) 1.44469 + 5.46927i 0.0851293 + 0.322280i
\(289\) −12.1843 5.86763i −0.716721 0.345155i
\(290\) −0.135412 0.0174101i −0.00795169 0.00102236i
\(291\) −2.63924 + 5.48045i −0.154715 + 0.321269i
\(292\) −3.68557 18.8526i −0.215681 1.10326i
\(293\) 21.4997i 1.25603i −0.778202 0.628014i \(-0.783868\pi\)
0.778202 0.628014i \(-0.216132\pi\)
\(294\) 7.23224 6.75979i 0.421793 0.394239i
\(295\) 0.155216i 0.00903701i
\(296\) 22.4833 + 3.61012i 1.30682 + 0.209834i
\(297\) 2.34391 4.86719i 0.136008 0.282423i
\(298\) 3.70668 28.8298i 0.214722 1.67006i
\(299\) −37.6523 18.1324i −2.17749 1.04862i
\(300\) −9.67056 2.52851i −0.558330 0.145984i
\(301\) 9.88711 + 10.0675i 0.569883 + 0.580283i
\(302\) −12.9708 + 12.5705i −0.746386 + 0.723353i
\(303\) −4.09410 + 3.26493i −0.235200 + 0.187566i
\(304\) 8.35425 + 11.9399i 0.479149 + 0.684802i
\(305\) −0.358880 + 0.450021i −0.0205494 + 0.0257681i
\(306\) 2.21043 + 1.43770i 0.126362 + 0.0821880i
\(307\) 1.05044 1.31721i 0.0599516 0.0751769i −0.750952 0.660357i \(-0.770405\pi\)
0.810903 + 0.585180i \(0.198976\pi\)
\(308\) 21.0126 19.3806i 1.19730 1.10431i
\(309\) −10.7015 13.4193i −0.608788 0.763396i
\(310\) −0.0396071 0.409035i −0.00224953 0.0232316i
\(311\) −6.08177 + 26.6460i −0.344865 + 1.51095i 0.443797 + 0.896127i \(0.353631\pi\)
−0.788662 + 0.614827i \(0.789226\pi\)
\(312\) −12.9103 + 7.28926i −0.730903 + 0.412673i
\(313\) 16.2824i 0.920338i −0.887831 0.460169i \(-0.847789\pi\)
0.887831 0.460169i \(-0.152211\pi\)
\(314\) 21.5337 + 14.0059i 1.21522 + 0.790397i
\(315\) −0.105015 + 0.0646683i −0.00591691 + 0.00364364i
\(316\) −11.3767 5.92483i −0.639988 0.333298i
\(317\) −3.86046 16.9138i −0.216825 0.949971i −0.959807 0.280660i \(-0.909447\pi\)
0.742982 0.669311i \(-0.233411\pi\)
\(318\) 0.227720 + 0.685036i 0.0127699 + 0.0384149i
\(319\) 8.74717 6.97564i 0.489748 0.390561i
\(320\) 0.116746 0.354167i 0.00652632 0.0197985i
\(321\) −5.28722 + 1.20677i −0.295104 + 0.0673556i
\(322\) −13.6033 + 26.5487i −0.758083 + 1.47950i
\(323\) 6.62240 + 1.51152i 0.368480 + 0.0841032i
\(324\) 1.52382 + 1.29536i 0.0846567 + 0.0719647i
\(325\) 26.1975i 1.45318i
\(326\) −2.04883 1.33260i −0.113474 0.0738057i
\(327\) 15.2315 7.33510i 0.842303 0.405632i
\(328\) −10.5904 4.27434i −0.584759 0.236011i
\(329\) 0.534346 1.48390i 0.0294595 0.0818100i
\(330\) −0.304470 + 0.184721i −0.0167605 + 0.0101685i
\(331\) 15.6987 + 3.58313i 0.862879 + 0.196947i 0.630986 0.775794i \(-0.282651\pi\)
0.231894 + 0.972741i \(0.425508\pi\)
\(332\) 9.42514 1.84256i 0.517272 0.101124i
\(333\) 7.25358 3.49314i 0.397494 0.191423i
\(334\) −10.0594 30.2609i −0.550423 1.65580i
\(335\) 0.404114 + 0.194611i 0.0220791 + 0.0106327i
\(336\) 4.97388 + 9.34133i 0.271348 + 0.509611i
\(337\) −29.1283 + 14.0275i −1.58672 + 0.764124i −0.998990 0.0449324i \(-0.985693\pi\)
−0.587730 + 0.809057i \(0.699978\pi\)
\(338\) −14.2476 14.7013i −0.774968 0.799644i
\(339\) 2.98858 + 13.0938i 0.162317 + 0.711158i
\(340\) −0.0704763 0.158899i −0.00382212 0.00861753i
\(341\) 26.3291 + 20.9968i 1.42580 + 1.13704i
\(342\) 4.83575 + 1.77763i 0.261487 + 0.0961233i
\(343\) 10.2750 15.4085i 0.554801 0.831983i
\(344\) −13.1358 + 7.41656i −0.708234 + 0.399874i
\(345\) 0.231712 0.290558i 0.0124750 0.0156431i
\(346\) 16.4305 15.9235i 0.883310 0.856051i
\(347\) −22.3555 + 5.10249i −1.20010 + 0.273916i −0.775432 0.631431i \(-0.782468\pi\)
−0.424672 + 0.905347i \(0.639611\pi\)
\(348\) 1.67935 + 3.78635i 0.0900227 + 0.202970i
\(349\) −7.36603 15.2957i −0.394295 0.818762i −0.999738 0.0228733i \(-0.992719\pi\)
0.605444 0.795888i \(-0.292996\pi\)
\(350\) −18.6944 0.462063i −0.999260 0.0246983i
\(351\) −2.27432 + 4.72268i −0.121394 + 0.252078i
\(352\) 14.1834 + 27.0685i 0.755976 + 1.44275i
\(353\) −12.0111 24.9414i −0.639288 1.32750i −0.928893 0.370349i \(-0.879238\pi\)
0.289604 0.957146i \(-0.406476\pi\)
\(354\) 4.02604 2.44258i 0.213981 0.129822i
\(355\) −0.0194488 + 0.0852107i −0.00103223 + 0.00452251i
\(356\) 6.28351 + 32.1416i 0.333025 + 1.70350i
\(357\) 4.64135 + 1.67133i 0.245646 + 0.0884563i
\(358\) −0.330718 + 0.109938i −0.0174790 + 0.00581039i
\(359\) −12.7529 26.4817i −0.673074 1.39765i −0.905208 0.424969i \(-0.860285\pi\)
0.232134 0.972684i \(-0.425429\pi\)
\(360\) −0.0376493 0.126355i −0.00198429 0.00665947i
\(361\) −5.72779 −0.301463
\(362\) 3.64340 9.91127i 0.191493 0.520925i
\(363\) 4.04619 17.7275i 0.212370 0.930454i
\(364\) −20.3887 + 18.8052i −1.06866 + 0.985658i
\(365\) 0.0996259 + 0.436490i 0.00521466 + 0.0228469i
\(366\) 17.3204 + 2.22691i 0.905351 + 0.116402i
\(367\) 3.58881 + 4.50022i 0.187334 + 0.234910i 0.866626 0.498959i \(-0.166284\pi\)
−0.679291 + 0.733869i \(0.737713\pi\)
\(368\) −23.6387 21.4062i −1.23225 1.11588i
\(369\) −3.93651 + 0.898484i −0.204927 + 0.0467732i
\(370\) −0.526398 0.0676797i −0.0273661 0.00351850i
\(371\) 0.708162 + 1.14998i 0.0367660 + 0.0597042i
\(372\) −9.98641 + 7.46421i −0.517771 + 0.387001i
\(373\) 16.7948 0.869600 0.434800 0.900527i \(-0.356819\pi\)
0.434800 + 0.900527i \(0.356819\pi\)
\(374\) 13.3700 + 4.91484i 0.691346 + 0.254140i
\(375\) 0.454355 + 0.103704i 0.0234628 + 0.00535523i
\(376\) 1.38391 + 0.963142i 0.0713695 + 0.0496702i
\(377\) −8.48747 + 6.76853i −0.437127 + 0.348597i
\(378\) 3.32997 + 1.70625i 0.171275 + 0.0877598i
\(379\) −4.38597 3.49770i −0.225292 0.179665i 0.504338 0.863506i \(-0.331737\pi\)
−0.729631 + 0.683842i \(0.760308\pi\)
\(380\) −0.203337 0.272046i −0.0104310 0.0139557i
\(381\) 13.2498 + 10.5663i 0.678806 + 0.541330i
\(382\) −0.165486 1.70903i −0.00846700 0.0874413i
\(383\) 9.06944 + 11.3727i 0.463427 + 0.581119i 0.957548 0.288274i \(-0.0930815\pi\)
−0.494121 + 0.869393i \(0.664510\pi\)
\(384\) −11.0237 + 2.54521i −0.562551 + 0.129885i
\(385\) −0.475347 + 0.466828i −0.0242259 + 0.0237917i
\(386\) −14.1273 + 1.36796i −0.719063 + 0.0696273i
\(387\) −2.31404 + 4.80515i −0.117629 + 0.244260i
\(388\) −10.7901 5.61935i −0.547785 0.285280i
\(389\) 23.2981 + 11.2198i 1.18126 + 0.568866i 0.918279 0.395934i \(-0.129579\pi\)
0.262984 + 0.964800i \(0.415293\pi\)
\(390\) 0.295430 0.179236i 0.0149597 0.00907598i
\(391\) −14.8653 −0.751771
\(392\) 13.0597 + 14.8810i 0.659614 + 0.751605i
\(393\) −0.390732 −0.0197098
\(394\) 13.3274 8.08565i 0.671422 0.407349i
\(395\) 0.269353 + 0.129714i 0.0135526 + 0.00652661i
\(396\) 9.58270 + 4.99055i 0.481549 + 0.250785i
\(397\) −0.931072 + 1.93339i −0.0467292 + 0.0970341i −0.923026 0.384737i \(-0.874292\pi\)
0.876297 + 0.481771i \(0.160006\pi\)
\(398\) 11.2708 1.09136i 0.564953 0.0547048i
\(399\) 9.56799 + 1.16575i 0.478999 + 0.0583606i
\(400\) 5.66059 19.1732i 0.283030 0.958658i
\(401\) −24.4998 30.7218i −1.22346 1.53417i −0.762853 0.646573i \(-0.776202\pi\)
−0.460611 0.887602i \(-0.652370\pi\)
\(402\) −1.31153 13.5446i −0.0654133 0.675543i
\(403\) −25.5474 20.3734i −1.27261 1.01487i
\(404\) −6.27008 8.38879i −0.311948 0.417358i
\(405\) −0.0364443 0.0290634i −0.00181093 0.00144417i
\(406\) 4.68030 + 6.17601i 0.232280 + 0.306510i
\(407\) 34.0035 27.1169i 1.68549 1.34414i
\(408\) −3.01252 + 4.32859i −0.149142 + 0.214297i
\(409\) 17.6336 + 4.02476i 0.871928 + 0.199012i 0.634997 0.772515i \(-0.281001\pi\)
0.236931 + 0.971527i \(0.423859\pi\)
\(410\) 0.249832 + 0.0918388i 0.0123383 + 0.00453560i
\(411\) −5.23533 −0.258240
\(412\) 27.4960 20.5515i 1.35463 1.01250i
\(413\) 6.28556 6.17291i 0.309292 0.303749i
\(414\) −11.1830 1.43781i −0.549614 0.0706646i
\(415\) −0.218219 + 0.0498070i −0.0107119 + 0.00244493i
\(416\) −13.7623 26.2648i −0.674751 1.28774i
\(417\) 7.51458 + 9.42299i 0.367991 + 0.461446i
\(418\) 27.6054 + 3.54927i 1.35023 + 0.173600i
\(419\) 0.546483 + 2.39430i 0.0266974 + 0.116969i 0.986521 0.163636i \(-0.0523221\pi\)
−0.959823 + 0.280605i \(0.909465\pi\)
\(420\) −0.122692 0.213979i −0.00598674 0.0104411i
\(421\) −5.92496 + 25.9589i −0.288765 + 1.26516i 0.597457 + 0.801901i \(0.296178\pi\)
−0.886222 + 0.463261i \(0.846679\pi\)
\(422\) 1.60844 4.37548i 0.0782975 0.212995i
\(423\) 0.596116 0.0289842
\(424\) −1.38367 + 0.412286i −0.0671970 + 0.0200224i
\(425\) −4.04320 8.39580i −0.196124 0.407256i
\(426\) 2.51628 0.836465i 0.121914 0.0405269i
\(427\) 32.4965 3.36423i 1.57262 0.162806i
\(428\) −2.08101 10.6449i −0.100590 0.514540i
\(429\) −6.30112 + 27.6070i −0.304221 + 1.33288i
\(430\) 0.300589 0.182366i 0.0144957 0.00879449i
\(431\) 10.0519 + 20.8729i 0.484181 + 1.00541i 0.989775 + 0.142641i \(0.0455593\pi\)
−0.505593 + 0.862772i \(0.668726\pi\)
\(432\) −2.68495 + 2.96497i −0.129180 + 0.142652i
\(433\) −0.810188 + 1.68237i −0.0389351 + 0.0808497i −0.919529 0.393022i \(-0.871430\pi\)
0.880594 + 0.473872i \(0.157144\pi\)
\(434\) −14.9890 + 17.8712i −0.719494 + 0.857846i
\(435\) −0.0418868 0.0869788i −0.00200832 0.00417031i
\(436\) 13.7084 + 30.9077i 0.656515 + 1.48021i
\(437\) −28.3170 + 6.46317i −1.35459 + 0.309175i
\(438\) 9.75404 9.45304i 0.466066 0.451684i
\(439\) −3.20537 + 4.01940i −0.152984 + 0.191836i −0.852417 0.522862i \(-0.824864\pi\)
0.699434 + 0.714698i \(0.253436\pi\)
\(440\) −0.350179 0.620217i −0.0166941 0.0295677i
\(441\) 6.79521 + 1.68079i 0.323582 + 0.0800377i
\(442\) −12.9730 4.76892i −0.617064 0.226834i
\(443\) 3.10497 + 2.47613i 0.147522 + 0.117645i 0.694470 0.719522i \(-0.255639\pi\)
−0.546948 + 0.837167i \(0.684210\pi\)
\(444\) 6.52827 + 14.7190i 0.309818 + 0.698531i
\(445\) −0.169852 0.744169i −0.00805175 0.0352770i
\(446\) −15.4699 15.9625i −0.732520 0.755844i
\(447\) 18.5181 8.91784i 0.875876 0.421800i
\(448\) −18.9852 + 9.35746i −0.896967 + 0.442098i
\(449\) 10.3399 + 4.97945i 0.487972 + 0.234995i 0.661657 0.749806i \(-0.269853\pi\)
−0.173686 + 0.984801i \(0.555568\pi\)
\(450\) −2.22959 6.70712i −0.105104 0.316177i
\(451\) −19.6525 + 9.46413i −0.925399 + 0.445649i
\(452\) −26.3621 + 5.15363i −1.23997 + 0.242406i
\(453\) −12.4520 2.84209i −0.585047 0.133533i
\(454\) 17.9206 10.8724i 0.841057 0.510266i
\(455\) 0.461233 0.452968i 0.0216230 0.0212354i
\(456\) −3.85657 + 9.55534i −0.180601 + 0.447470i
\(457\) −28.5171 + 13.7331i −1.33397 + 0.642408i −0.958677 0.284496i \(-0.908174\pi\)
−0.375297 + 0.926904i \(0.622459\pi\)
\(458\) −13.7944 8.97210i −0.644568 0.419239i
\(459\) 1.86454i 0.0870291i
\(460\) 0.566310 + 0.481407i 0.0264043 + 0.0224457i
\(461\) 20.9740 + 4.78718i 0.976857 + 0.222961i 0.681010 0.732274i \(-0.261541\pi\)
0.295847 + 0.955235i \(0.404398\pi\)
\(462\) 19.5891 + 4.98338i 0.911369 + 0.231848i
\(463\) −23.9768 + 5.47256i −1.11430 + 0.254331i −0.739754 0.672877i \(-0.765058\pi\)
−0.374545 + 0.927209i \(0.622201\pi\)
\(464\) −7.67423 + 3.11977i −0.356267 + 0.144831i
\(465\) 0.227188 0.181176i 0.0105356 0.00840185i
\(466\) −4.73090 14.2317i −0.219155 0.659269i
\(467\) 1.15321 + 5.05255i 0.0533643 + 0.233804i 0.994576 0.104013i \(-0.0331684\pi\)
−0.941212 + 0.337818i \(0.890311\pi\)
\(468\) −9.29819 4.84238i −0.429809 0.223839i
\(469\) −8.19069 24.1046i −0.378211 1.11304i
\(470\) −0.0329423 0.0214262i −0.00151951 0.000988319i
\(471\) 18.1640i 0.836954i
\(472\) 4.63045 + 8.20120i 0.213134 + 0.377491i
\(473\) −6.41116 + 28.0891i −0.294785 + 1.29154i
\(474\) −0.874172 9.02785i −0.0401521 0.414663i
\(475\) −11.3523 14.2353i −0.520877 0.653159i
\(476\) −3.63190 + 9.17340i −0.166468 + 0.420462i
\(477\) −0.318264 + 0.399091i −0.0145723 + 0.0182731i
\(478\) −23.6575 15.3873i −1.08207 0.703797i
\(479\) 7.24551 9.08558i 0.331056 0.415131i −0.588247 0.808681i \(-0.700182\pi\)
0.919303 + 0.393550i \(0.128753\pi\)
\(480\) 0.254945 0.0673430i 0.0116366 0.00307377i
\(481\) −32.9940 + 26.3118i −1.50440 + 1.19972i
\(482\) −18.9846 + 18.3987i −0.864723 + 0.838039i
\(483\) −20.9815 + 2.17213i −0.954693 + 0.0988353i
\(484\) 35.1841 + 9.19939i 1.59928 + 0.418154i
\(485\) 0.255466 + 0.123026i 0.0116001 + 0.00558632i
\(486\) −0.180343 + 1.40267i −0.00818052 + 0.0636263i
\(487\) −4.05232 + 8.41473i −0.183628 + 0.381308i −0.972380 0.233404i \(-0.925013\pi\)
0.788752 + 0.614712i \(0.210728\pi\)
\(488\) −5.53709 + 34.4842i −0.250652 + 1.56103i
\(489\) 1.72823i 0.0781531i
\(490\) −0.315101 0.337124i −0.0142348 0.0152297i
\(491\) 28.7183i 1.29604i −0.761623 0.648020i \(-0.775597\pi\)
0.761623 0.648020i \(-0.224403\pi\)
\(492\) −1.54938 7.92547i −0.0698516 0.357308i
\(493\) −1.67545 + 3.47910i −0.0754584 + 0.156691i
\(494\) −26.7858 3.44389i −1.20515 0.154948i
\(495\) −0.226879 0.109259i −0.0101975 0.00491084i
\(496\) −14.2952 20.4308i −0.641875 0.917370i
\(497\) 4.22414 2.60123i 0.189479 0.116681i
\(498\) 4.72595 + 4.87643i 0.211775 + 0.218518i
\(499\) −7.47416 + 5.96044i −0.334589 + 0.266826i −0.776343 0.630310i \(-0.782928\pi\)
0.441754 + 0.897136i \(0.354356\pi\)
\(500\) −0.235780 + 0.901764i −0.0105444 + 0.0403281i
\(501\) 14.0591 17.6295i 0.628112 0.787628i
\(502\) 12.3132 18.9313i 0.549567 0.844944i
\(503\) 24.9628 31.3024i 1.11304 1.39570i 0.204008 0.978969i \(-0.434603\pi\)
0.909028 0.416735i \(-0.136826\pi\)
\(504\) −3.61950 + 6.54975i −0.161226 + 0.291749i
\(505\) 0.152192 + 0.190842i 0.00677245 + 0.00849238i
\(506\) −60.6261 + 5.87046i −2.69516 + 0.260974i
\(507\) 3.22126 14.1133i 0.143061 0.626792i
\(508\) −21.9526 + 25.8243i −0.973991 + 1.14577i
\(509\) 21.8877i 0.970156i −0.874471 0.485078i \(-0.838791\pi\)
0.874471 0.485078i \(-0.161209\pi\)
\(510\) 0.0670172 0.103037i 0.00296757 0.00456256i
\(511\) 13.7138 21.3936i 0.606664 0.946396i
\(512\) −4.39706 22.1961i −0.194324 0.980937i
\(513\) 0.810667 + 3.55176i 0.0357918 + 0.156814i
\(514\) −18.9176 + 6.28861i −0.834420 + 0.277379i
\(515\) −0.625527 + 0.498841i −0.0275640 + 0.0219816i
\(516\) −9.46057 4.92695i −0.416478 0.216897i
\(517\) 3.13958 0.716588i 0.138079 0.0315155i
\(518\) 18.1941 + 24.0085i 0.799402 + 1.05487i
\(519\) 15.7733 + 3.60016i 0.692373 + 0.158030i
\(520\) 0.339782 + 0.601803i 0.0149004 + 0.0263908i
\(521\) 23.6652i 1.03679i −0.855141 0.518395i \(-0.826530\pi\)
0.855141 0.518395i \(-0.173470\pi\)
\(522\) −1.59693 + 2.45523i −0.0698956 + 0.107463i
\(523\) 13.4207 6.46306i 0.586846 0.282610i −0.116806 0.993155i \(-0.537266\pi\)
0.703652 + 0.710545i \(0.251551\pi\)
\(524\) 0.0244872 0.781081i 0.00106973 0.0341217i
\(525\) −6.93355 11.2594i −0.302605 0.491400i
\(526\) 12.6286 + 20.8153i 0.550632 + 0.907591i
\(527\) −11.3318 2.58641i −0.493621 0.112666i
\(528\) −10.5767 + 18.8432i −0.460294 + 0.820046i
\(529\) 36.5463 17.5997i 1.58897 0.765206i
\(530\) 0.0319323 0.0106150i 0.00138705 0.000461085i
\(531\) 3.00005 + 1.44475i 0.130191 + 0.0626967i
\(532\) −2.92999 + 19.0535i −0.127031 + 0.826075i
\(533\) 19.0690 9.18314i 0.825969 0.397766i
\(534\) −16.6296 + 16.1164i −0.719634 + 0.697427i
\(535\) 0.0562527 + 0.246459i 0.00243201 + 0.0106554i
\(536\) 27.1581 1.77294i 1.17305 0.0765792i
\(537\) −0.192671 0.153650i −0.00831437 0.00663049i
\(538\) 0.603152 1.64077i 0.0260037 0.0707388i
\(539\) 37.8090 + 0.683774i 1.62855 + 0.0294522i
\(540\) 0.0603822 0.0710315i 0.00259844 0.00305671i
\(541\) 16.8716 21.1564i 0.725368 0.909583i −0.273261 0.961940i \(-0.588102\pi\)
0.998628 + 0.0523575i \(0.0166735\pi\)
\(542\) −8.76358 9.04263i −0.376428 0.388414i
\(543\) 7.27964 1.66153i 0.312399 0.0713031i
\(544\) −8.46414 6.29336i −0.362897 0.269826i
\(545\) −0.341919 0.710002i −0.0146462 0.0304131i
\(546\) −19.0075 4.83542i −0.813447 0.206937i
\(547\) −17.0893 + 35.4864i −0.730687 + 1.51729i 0.120665 + 0.992693i \(0.461497\pi\)
−0.851352 + 0.524595i \(0.824217\pi\)
\(548\) 0.328098 10.4655i 0.0140156 0.447065i
\(549\) 5.35767 + 11.1253i 0.228660 + 0.474817i
\(550\) −19.8052 32.6444i −0.844498 1.39196i
\(551\) −1.67892 + 7.35581i −0.0715242 + 0.313368i
\(552\) 3.57505 22.2649i 0.152164 0.947657i
\(553\) −5.45932 16.0664i −0.232154 0.683211i
\(554\) −1.30776 3.93405i −0.0555614 0.167142i
\(555\) −0.162829 0.338119i −0.00691173 0.0143523i
\(556\) −19.3077 + 14.4312i −0.818827 + 0.612021i
\(557\) −16.4411 −0.696631 −0.348315 0.937377i \(-0.613246\pi\)
−0.348315 + 0.937377i \(0.613246\pi\)
\(558\) −8.27460 3.04176i −0.350292 0.128768i
\(559\) 6.22081 27.2551i 0.263112 1.15277i
\(560\) 0.435437 0.231853i 0.0184006 0.00979757i
\(561\) 2.24135 + 9.82000i 0.0946299 + 0.414601i
\(562\) −0.586252 + 4.55974i −0.0247295 + 0.192341i
\(563\) −23.6382 29.6414i −0.996231 1.24923i −0.968343 0.249623i \(-0.919693\pi\)
−0.0278882 0.999611i \(-0.508878\pi\)
\(564\) −0.0373586 + 1.19165i −0.00157308 + 0.0501774i
\(565\) 0.610356 0.139310i 0.0256779 0.00586080i
\(566\) 4.35471 33.8700i 0.183042 1.42366i
\(567\) 0.272447 + 2.63169i 0.0114417 + 0.110520i
\(568\) 1.51441 + 5.08252i 0.0635434 + 0.213258i
\(569\) −22.9076 −0.960337 −0.480168 0.877176i \(-0.659424\pi\)
−0.480168 + 0.877176i \(0.659424\pi\)
\(570\) 0.0828626 0.225414i 0.00347073 0.00944154i
\(571\) −9.81062 2.23921i −0.410562 0.0937080i 0.0122513 0.999925i \(-0.496100\pi\)
−0.422813 + 0.906217i \(0.638957\pi\)
\(572\) −54.7920 14.3262i −2.29097 0.599007i
\(573\) 0.949234 0.756989i 0.0396548 0.0316237i
\(574\) −6.21673 13.7695i −0.259481 0.574729i
\(575\) 31.1528 + 24.8436i 1.29916 + 1.03605i
\(576\) −5.75875 5.55309i −0.239948 0.231379i
\(577\) −1.75522 1.39974i −0.0730708 0.0582720i 0.586273 0.810113i \(-0.300594\pi\)
−0.659344 + 0.751841i \(0.729166\pi\)
\(578\) 19.0361 1.84328i 0.791797 0.0766702i
\(579\) −6.25751 7.84667i −0.260053 0.326096i
\(580\) 0.176497 0.0782814i 0.00732865 0.00325046i
\(581\) 10.6955 + 6.85609i 0.443724 + 0.284438i
\(582\) −0.829101 8.56238i −0.0343673 0.354922i
\(583\) −1.19646 + 2.48449i −0.0495525 + 0.102897i
\(584\) 18.2855 + 20.0909i 0.756660 + 0.831368i
\(585\) 0.220143 + 0.106015i 0.00910180 + 0.00438320i
\(586\) 15.7712 + 25.9951i 0.651500 + 1.07385i
\(587\) −26.2199 −1.08221 −0.541105 0.840955i \(-0.681994\pi\)
−0.541105 + 0.840955i \(0.681994\pi\)
\(588\) −3.78579 + 13.4784i −0.156123 + 0.555841i
\(589\) −22.7105 −0.935770
\(590\) −0.113859 0.187670i −0.00468749 0.00772625i
\(591\) 9.93103 + 4.78253i 0.408508 + 0.196727i
\(592\) −29.8326 + 12.1277i −1.22611 + 0.498445i
\(593\) −17.4668 + 36.2702i −0.717276 + 1.48944i 0.148450 + 0.988920i \(0.452572\pi\)
−0.865726 + 0.500519i \(0.833143\pi\)
\(594\) 0.736325 + 7.60425i 0.0302118 + 0.312006i
\(595\) 0.0779076 0.216352i 0.00319390 0.00886958i
\(596\) 16.6664 + 37.5769i 0.682682 + 1.53921i
\(597\) 4.99223 + 6.26006i 0.204318 + 0.256207i
\(598\) 58.8261 5.69617i 2.40558 0.232934i
\(599\) 1.44658 + 1.15361i 0.0591057 + 0.0471352i 0.652597 0.757705i \(-0.273679\pi\)
−0.593491 + 0.804840i \(0.702251\pi\)
\(600\) 13.5474 4.03665i 0.553070 0.164796i
\(601\) −22.6368 18.0522i −0.923373 0.736365i 0.0414847 0.999139i \(-0.486791\pi\)
−0.964857 + 0.262774i \(0.915363\pi\)
\(602\) −19.3395 4.91987i −0.788218 0.200519i
\(603\) 7.52300 5.99939i 0.306360 0.244314i
\(604\) 6.46176 24.7137i 0.262925 1.00559i
\(605\) −0.826352 0.188609i −0.0335960 0.00766806i
\(606\) 2.55514 6.95083i 0.103796 0.282358i
\(607\) 14.8862 0.604213 0.302107 0.953274i \(-0.402310\pi\)
0.302107 + 0.953274i \(0.402310\pi\)
\(608\) −18.8596 8.30819i −0.764858 0.336942i
\(609\) −1.85643 + 5.15537i −0.0752263 + 0.208906i
\(610\) 0.103805 0.807374i 0.00420295 0.0326896i
\(611\) −3.04636 + 0.695313i −0.123243 + 0.0281293i
\(612\) −3.72724 0.116850i −0.150665 0.00472340i
\(613\) −17.9532 22.5126i −0.725122 0.909275i 0.273493 0.961874i \(-0.411821\pi\)
−0.998616 + 0.0525992i \(0.983249\pi\)
\(614\) −0.303836 + 2.36317i −0.0122618 + 0.0953698i
\(615\) 0.0418820 + 0.183497i 0.00168884 + 0.00739931i
\(616\) −11.1895 + 38.8467i −0.450838 + 1.56518i
\(617\) −2.68207 + 11.7509i −0.107976 + 0.473074i 0.891810 + 0.452410i \(0.149435\pi\)
−0.999786 + 0.0206649i \(0.993422\pi\)
\(618\) 22.7828 + 8.37502i 0.916460 + 0.336893i
\(619\) 31.9913 1.28584 0.642919 0.765934i \(-0.277723\pi\)
0.642919 + 0.765934i \(0.277723\pi\)
\(620\) 0.347937 + 0.465507i 0.0139735 + 0.0186952i
\(621\) −3.45921 7.18312i −0.138813 0.288249i
\(622\) −12.1928 36.6787i −0.488885 1.47068i
\(623\) −23.3806 + 36.4738i −0.936726 + 1.46129i
\(624\) 10.2627 18.2838i 0.410838 0.731936i
\(625\) −5.55577 + 24.3414i −0.222231 + 0.973657i
\(626\) 11.9440 + 19.6870i 0.477379 + 0.786849i
\(627\) 8.53912 + 17.7317i 0.341020 + 0.708134i
\(628\) −36.3102 1.13834i −1.44894 0.0454247i
\(629\) −6.51309 + 13.5246i −0.259694 + 0.539260i
\(630\) 0.0795350 0.155224i 0.00316875 0.00618426i
\(631\) −0.432844 0.898809i −0.0172312 0.0357810i 0.892176 0.451689i \(-0.149178\pi\)
−0.909407 + 0.415908i \(0.863464\pi\)
\(632\) 18.1016 1.18171i 0.720044 0.0470059i
\(633\) 3.21371 0.733508i 0.127733 0.0291543i
\(634\) 17.0748 + 17.6184i 0.678125 + 0.699718i
\(635\) 0.492540 0.617625i 0.0195458 0.0245097i
\(636\) −0.777844 0.661227i −0.0308435 0.0262194i
\(637\) −36.6864 0.663473i −1.45357 0.0262878i
\(638\) −5.45915 + 14.8507i −0.216130 + 0.587944i
\(639\) 1.46595 + 1.16905i 0.0579919 + 0.0462470i
\(640\) 0.118642 + 0.513859i 0.00468975 + 0.0203121i
\(641\) −1.09975 4.81831i −0.0434374 0.190312i 0.948554 0.316614i \(-0.102546\pi\)
−0.991992 + 0.126303i \(0.959689\pi\)
\(642\) 5.50751 5.33755i 0.217364 0.210656i
\(643\) 10.1570 4.89137i 0.400555 0.192897i −0.222751 0.974875i \(-0.571504\pi\)
0.623305 + 0.781978i \(0.285789\pi\)
\(644\) −3.02721 42.0786i −0.119289 1.65813i
\(645\) 0.223988 + 0.107867i 0.00881951 + 0.00424725i
\(646\) −9.11586 + 3.03030i −0.358659 + 0.119226i
\(647\) 20.6885 9.96305i 0.813349 0.391688i 0.0195048 0.999810i \(-0.493791\pi\)
0.793844 + 0.608122i \(0.208077\pi\)
\(648\) −2.79266 0.448414i −0.109706 0.0176154i
\(649\) 17.5372 + 4.00274i 0.688394 + 0.157121i
\(650\) 19.2172 + 31.6752i 0.753761 + 1.24240i
\(651\) −16.3721 1.99476i −0.641673 0.0781807i
\(652\) 3.45475 + 0.108308i 0.135299 + 0.00424166i
\(653\) −30.0701 + 14.4810i −1.17673 + 0.566685i −0.916958 0.398985i \(-0.869363\pi\)
−0.259775 + 0.965669i \(0.583648\pi\)
\(654\) −13.0356 + 20.0419i −0.509732 + 0.783700i
\(655\) 0.0182136i 0.000711665i
\(656\) 15.9403 2.60056i 0.622362 0.101535i
\(657\) 9.36391 + 2.13725i 0.365321 + 0.0833821i
\(658\) 0.442442 + 2.18614i 0.0172482 + 0.0852246i
\(659\) −16.5044 + 3.76703i −0.642922 + 0.146743i −0.531537 0.847035i \(-0.678386\pi\)
−0.111384 + 0.993777i \(0.535528\pi\)
\(660\) 0.232630 0.446688i 0.00905510 0.0173873i
\(661\) −17.1836 + 13.7034i −0.668364 + 0.533002i −0.897845 0.440311i \(-0.854868\pi\)
0.229482 + 0.973313i \(0.426297\pi\)
\(662\) −21.6096 + 7.18348i −0.839881 + 0.279194i
\(663\) −2.17481 9.52845i −0.0844625 0.370054i
\(664\) −10.0443 + 9.14165i −0.389792 + 0.354765i
\(665\) 0.0543405 0.446003i 0.00210723 0.0172953i
\(666\) −6.20785 + 9.54440i −0.240549 + 0.369838i
\(667\) 16.5116i 0.639332i
\(668\) 34.3606 + 29.2091i 1.32945 + 1.13014i
\(669\) 3.49760 15.3240i 0.135225 0.592460i
\(670\) −0.631369 + 0.0611358i −0.0243919 + 0.00236188i
\(671\) 41.5911 + 52.1536i 1.60561 + 2.01337i
\(672\) −12.8662 7.64593i −0.496325 0.294948i
\(673\) −13.2490 + 16.6138i −0.510713 + 0.640414i −0.968608 0.248592i \(-0.920032\pi\)
0.457895 + 0.889006i \(0.348604\pi\)
\(674\) 24.9289 38.3276i 0.960227 1.47632i
\(675\) 3.11609 3.90746i 0.119939 0.150398i
\(676\) 28.0108 + 7.32384i 1.07734 + 0.281686i
\(677\) 4.67935 3.73166i 0.179842 0.143419i −0.529431 0.848353i \(-0.677595\pi\)
0.709273 + 0.704934i \(0.249023\pi\)
\(678\) −13.2184 13.6393i −0.507651 0.523816i
\(679\) −5.17784 15.2380i −0.198707 0.584780i
\(680\) 0.201773 + 0.140426i 0.00773765 + 0.00538509i
\(681\) 13.3538 + 6.43084i 0.511718 + 0.246430i
\(682\) −47.2366 6.07326i −1.80878 0.232557i
\(683\) −7.36978 + 15.3035i −0.281997 + 0.585573i −0.993067 0.117548i \(-0.962496\pi\)
0.711070 + 0.703121i \(0.248211\pi\)
\(684\) −7.15084 + 1.39795i −0.273419 + 0.0534519i
\(685\) 0.244040i 0.00932429i
\(686\) −1.12052 + 26.1676i −0.0427815 + 0.999084i
\(687\) 11.6358i 0.443933i
\(688\) 10.4419 18.6031i 0.398096 0.709236i
\(689\) 1.16094 2.41072i 0.0442284 0.0918411i
\(690\) −0.0670222 + 0.521285i −0.00255149 + 0.0198450i
\(691\) 45.7148 + 22.0151i 1.73907 + 0.837494i 0.983142 + 0.182845i \(0.0585306\pi\)
0.755933 + 0.654649i \(0.227184\pi\)
\(692\) −8.18530 + 31.3056i −0.311158 + 1.19006i
\(693\) 4.59844 + 13.5329i 0.174680 + 0.514071i
\(694\) 23.2869 22.5682i 0.883957 0.856679i
\(695\) 0.439244 0.350285i 0.0166615 0.0132871i
\(696\) −4.80797 3.34615i −0.182246 0.126836i
\(697\) 4.69396 5.88604i 0.177797 0.222950i
\(698\) 20.1264 + 13.0906i 0.761796 + 0.495485i
\(699\) 6.61196 8.29113i 0.250087 0.313599i
\(700\) 22.9422 13.1547i 0.867135 0.497199i
\(701\) 23.1859 + 29.0742i 0.875719 + 1.09812i 0.994452 + 0.105191i \(0.0335453\pi\)
−0.118733 + 0.992926i \(0.537883\pi\)
\(702\) −0.714463 7.37848i −0.0269657 0.278483i
\(703\) −6.52657 + 28.5948i −0.246154 + 1.07847i
\(704\) −37.0051 22.3240i −1.39468 0.841368i
\(705\) 0.0277874i 0.00104653i
\(706\) 32.8183 + 21.3456i 1.23513 + 0.803353i
\(707\) 1.67564 13.7529i 0.0630188 0.517231i
\(708\) −3.07609 + 5.90661i −0.115607 + 0.221984i
\(709\) 0.372392 + 1.63155i 0.0139855 + 0.0612743i 0.981439 0.191774i \(-0.0614240\pi\)
−0.967454 + 0.253048i \(0.918567\pi\)
\(710\) −0.0389910 0.117294i −0.00146331 0.00440197i
\(711\) 5.01428 3.99876i 0.188050 0.149965i
\(712\) −31.1749 34.2529i −1.16833 1.28368i
\(713\) 48.4541 11.0593i 1.81462 0.414176i
\(714\) −6.83783 + 1.38387i −0.255899 + 0.0517902i
\(715\) 1.28687 + 0.293721i 0.0481264 + 0.0109845i
\(716\) 0.319224 0.375523i 0.0119299 0.0140340i
\(717\) 19.9555i 0.745253i
\(718\) 34.8452 + 22.6639i 1.30041 + 0.845810i
\(719\) −22.6809 + 10.9226i −0.845856 + 0.407343i −0.806038 0.591864i \(-0.798392\pi\)
−0.0398186 + 0.999207i \(0.512678\pi\)
\(720\) 0.138209 + 0.125157i 0.00515075 + 0.00466431i
\(721\) 45.0781 + 5.49226i 1.67879 + 0.204542i
\(722\) 6.92542 4.20163i 0.257738 0.156368i
\(723\) −18.2252 4.15979i −0.677804 0.154704i
\(724\) 2.86521 + 14.6563i 0.106485 + 0.544695i
\(725\) 9.32562 4.49098i 0.346345 0.166791i
\(726\) 8.11183 + 24.4023i 0.301058 + 0.905654i
\(727\) 6.48005 + 3.12063i 0.240332 + 0.115738i 0.550173 0.835051i \(-0.314562\pi\)
−0.309842 + 0.950788i \(0.600276\pi\)
\(728\) 10.8573 37.6933i 0.402398 1.39701i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −0.440644 0.454675i −0.0163090 0.0168283i
\(731\) −2.21279 9.69485i −0.0818429 0.358577i
\(732\) −22.5755 + 10.0129i −0.834414 + 0.370086i
\(733\) −15.3744 12.2607i −0.567868 0.452859i 0.296987 0.954881i \(-0.404018\pi\)
−0.864855 + 0.502022i \(0.832590\pi\)
\(734\) −7.64034 2.80861i −0.282010 0.103668i
\(735\) 0.0783486 0.316753i 0.00288993 0.0116836i
\(736\) 44.2839 + 8.54193i 1.63232 + 0.314860i
\(737\) 32.4097 40.6405i 1.19383 1.49701i
\(738\) 4.10052 3.97398i 0.150942 0.146284i
\(739\) 24.7658 5.65262i 0.911023 0.207935i 0.258772 0.965938i \(-0.416682\pi\)
0.652251 + 0.758003i \(0.273825\pi\)
\(740\) 0.686110 0.304309i 0.0252219 0.0111866i
\(741\) −8.28559 17.2052i −0.304379 0.632049i
\(742\) −1.69981 0.870964i −0.0624018 0.0319741i
\(743\) 17.6325 36.6143i 0.646874 1.34325i −0.277117 0.960836i \(-0.589379\pi\)
0.923992 0.382413i \(-0.124907\pi\)
\(744\) 6.59911 16.3505i 0.241935 0.599437i
\(745\) −0.415697 0.863204i −0.0152300 0.0316253i
\(746\) −20.3064 + 12.3198i −0.743470 + 0.451060i
\(747\) −1.06850 + 4.68139i −0.0390942 + 0.171283i
\(748\) −19.7708 + 3.86508i −0.722893 + 0.141321i
\(749\) 7.74336 12.0796i 0.282936 0.441381i
\(750\) −0.625428 + 0.207905i −0.0228374 + 0.00759163i
\(751\) −11.5481 23.9798i −0.421396 0.875037i −0.998303 0.0582276i \(-0.981455\pi\)
0.576908 0.816809i \(-0.304259\pi\)
\(752\) −2.37978 0.149361i −0.0867817 0.00544663i
\(753\) 15.9689 0.581938
\(754\) 5.29706 14.4098i 0.192908 0.524773i
\(755\) −0.132481 + 0.580439i −0.00482149 + 0.0211243i
\(756\) −5.27786 + 0.379699i −0.191954 + 0.0138095i
\(757\) −6.96186 30.5019i −0.253033 1.10861i −0.928533 0.371250i \(-0.878929\pi\)
0.675500 0.737360i \(-0.263928\pi\)
\(758\) 7.86878 + 1.01170i 0.285807 + 0.0367466i
\(759\) −26.8535 33.6732i −0.974720 1.22226i
\(760\) 0.445413 + 0.179771i 0.0161568 + 0.00652096i
\(761\) 8.29894 1.89418i 0.300836 0.0686639i −0.0694384 0.997586i \(-0.522121\pi\)
0.370275 + 0.928922i \(0.379264\pi\)
\(762\) −23.7711 3.05628i −0.861137 0.110717i
\(763\) −15.1539 + 42.0829i −0.548608 + 1.52350i
\(764\) 1.45375 + 1.94498i 0.0525947 + 0.0703668i
\(765\) 0.0869137 0.00314237
\(766\) −19.3083 7.09776i −0.697636 0.256453i
\(767\) −17.0165 3.88390i −0.614429 0.140239i
\(768\) 11.4616 11.1638i 0.413586 0.402840i
\(769\) −1.66663 + 1.32909i −0.0601002 + 0.0479283i −0.653079 0.757290i \(-0.726523\pi\)
0.592979 + 0.805218i \(0.297952\pi\)
\(770\) 0.232296 0.913129i 0.00837135 0.0329069i
\(771\) −11.0211 8.7890