Properties

Label 64.2.i.a.21.2
Level $64$
Weight $2$
Character 64.21
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 21.2
Character \(\chi\) \(=\) 64.21
Dual form 64.2.i.a.61.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.27161 + 0.618873i) q^{2} +(-0.216111 - 1.08646i) q^{3} +(1.23399 - 1.57393i) q^{4} +(1.50133 - 1.00316i) q^{5} +(0.947192 + 1.24781i) q^{6} +(1.15320 + 0.477669i) q^{7} +(-0.595096 + 2.76512i) q^{8} +(1.63794 - 0.678457i) q^{9} +O(q^{10})\) \(q+(-1.27161 + 0.618873i) q^{2} +(-0.216111 - 1.08646i) q^{3} +(1.23399 - 1.57393i) q^{4} +(1.50133 - 1.00316i) q^{5} +(0.947192 + 1.24781i) q^{6} +(1.15320 + 0.477669i) q^{7} +(-0.595096 + 2.76512i) q^{8} +(1.63794 - 0.678457i) q^{9} +(-1.28828 + 2.20476i) q^{10} +(-4.61589 - 0.918157i) q^{11} +(-1.97670 - 1.00054i) q^{12} +(1.18288 + 0.790377i) q^{13} +(-1.76203 + 0.106272i) q^{14} +(-1.41435 - 1.41435i) q^{15} +(-0.954524 - 3.88444i) q^{16} +(-4.96238 + 4.96238i) q^{17} +(-1.66295 + 1.87641i) q^{18} +(0.306314 - 0.458431i) q^{19} +(0.273730 - 3.60088i) q^{20} +(0.269752 - 1.35613i) q^{21} +(6.43784 - 1.68911i) q^{22} +(2.28905 + 5.52625i) q^{23} +(3.13280 + 0.0489777i) q^{24} +(-0.665746 + 1.60725i) q^{25} +(-1.99331 - 0.272999i) q^{26} +(-2.93739 - 4.39612i) q^{27} +(2.17485 - 1.22561i) q^{28} +(4.74895 - 0.944625i) q^{29} +(2.67380 + 0.923200i) q^{30} +2.53878i q^{31} +(3.61776 + 4.34877i) q^{32} +5.21341i q^{33} +(3.23914 - 9.38131i) q^{34} +(2.21051 - 0.439697i) q^{35} +(0.953361 - 3.41522i) q^{36} +(-1.95294 - 2.92279i) q^{37} +(-0.105802 + 0.772515i) q^{38} +(0.603082 - 1.45597i) q^{39} +(1.88041 + 4.74833i) q^{40} +(-2.30661 - 5.56864i) q^{41} +(0.496255 + 1.89142i) q^{42} +(-1.76341 + 8.86527i) q^{43} +(-7.14109 + 6.13209i) q^{44} +(1.77849 - 2.66170i) q^{45} +(-6.33083 - 5.61062i) q^{46} +(6.66340 - 6.66340i) q^{47} +(-4.01402 + 1.87653i) q^{48} +(-3.84805 - 3.84805i) q^{49} +(-0.148115 - 2.45582i) q^{50} +(6.46387 + 4.31902i) q^{51} +(2.70367 - 0.886458i) q^{52} +(-13.5160 - 2.68850i) q^{53} +(6.45586 + 3.77228i) q^{54} +(-7.85103 + 3.25200i) q^{55} +(-2.00707 + 2.90446i) q^{56} +(-0.564266 - 0.233726i) q^{57} +(-5.45422 + 4.14019i) q^{58} +(4.57469 - 3.05671i) q^{59} +(-3.97138 + 0.480793i) q^{60} +(1.79525 + 9.02535i) q^{61} +(-1.57118 - 3.22835i) q^{62} +2.21295 q^{63} +(-7.29172 - 3.29102i) q^{64} +2.56877 q^{65} +(-3.22644 - 6.62944i) q^{66} +(-0.821008 - 4.12749i) q^{67} +(1.68691 + 13.9340i) q^{68} +(5.50938 - 3.68125i) q^{69} +(-2.53879 + 1.92715i) q^{70} +(11.2155 + 4.64562i) q^{71} +(0.901281 + 4.93284i) q^{72} +(7.67366 - 3.17854i) q^{73} +(4.29222 + 2.50803i) q^{74} +(1.89010 + 0.375964i) q^{75} +(-0.343550 - 1.04782i) q^{76} +(-4.88445 - 3.26368i) q^{77} +(0.134173 + 2.22466i) q^{78} +(-7.40915 - 7.40915i) q^{79} +(-5.32976 - 4.87429i) q^{80} +(-0.380539 + 0.380539i) q^{81} +(6.37939 + 5.65365i) q^{82} +(3.58524 - 5.36570i) q^{83} +(-1.80159 - 2.09803i) q^{84} +(-2.47213 + 12.4282i) q^{85} +(-3.24410 - 12.3645i) q^{86} +(-2.05260 - 4.95541i) q^{87} +(5.28570 - 12.2171i) q^{88} +(0.0401804 - 0.0970042i) q^{89} +(-0.614296 + 4.48531i) q^{90} +(0.986557 + 1.47649i) q^{91} +(11.5226 + 3.21655i) q^{92} +(2.75829 - 0.548659i) q^{93} +(-4.34946 + 12.5971i) q^{94} -0.995537i q^{95} +(3.94294 - 4.87038i) q^{96} -7.44456i q^{97} +(7.27469 + 2.51177i) q^{98} +(-8.18348 + 1.62780i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{13}{16}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.27161 + 0.618873i −0.899165 + 0.437609i
\(3\) −0.216111 1.08646i −0.124772 0.627270i −0.991672 0.128788i \(-0.958891\pi\)
0.866900 0.498481i \(-0.166109\pi\)
\(4\) 1.23399 1.57393i 0.616996 0.786966i
\(5\) 1.50133 1.00316i 0.671416 0.448626i −0.172566 0.984998i \(-0.555206\pi\)
0.843981 + 0.536372i \(0.180206\pi\)
\(6\) 0.947192 + 1.24781i 0.386689 + 0.509418i
\(7\) 1.15320 + 0.477669i 0.435867 + 0.180542i 0.589818 0.807536i \(-0.299200\pi\)
−0.153950 + 0.988079i \(0.549200\pi\)
\(8\) −0.595096 + 2.76512i −0.210398 + 0.977616i
\(9\) 1.63794 0.678457i 0.545980 0.226152i
\(10\) −1.28828 + 2.20476i −0.407391 + 0.697206i
\(11\) −4.61589 0.918157i −1.39174 0.276835i −0.558391 0.829578i \(-0.688581\pi\)
−0.833351 + 0.552743i \(0.813581\pi\)
\(12\) −1.97670 1.00054i −0.570624 0.288832i
\(13\) 1.18288 + 0.790377i 0.328073 + 0.219211i 0.708688 0.705522i \(-0.249288\pi\)
−0.380615 + 0.924734i \(0.624288\pi\)
\(14\) −1.76203 + 0.106272i −0.470924 + 0.0284023i
\(15\) −1.41435 1.41435i −0.365183 0.365183i
\(16\) −0.954524 3.88444i −0.238631 0.971110i
\(17\) −4.96238 + 4.96238i −1.20355 + 1.20355i −0.230477 + 0.973078i \(0.574029\pi\)
−0.973078 + 0.230477i \(0.925971\pi\)
\(18\) −1.66295 + 1.87641i −0.391960 + 0.442274i
\(19\) 0.306314 0.458431i 0.0702731 0.105171i −0.794669 0.607044i \(-0.792355\pi\)
0.864942 + 0.501872i \(0.167355\pi\)
\(20\) 0.273730 3.60088i 0.0612079 0.805182i
\(21\) 0.269752 1.35613i 0.0588647 0.295933i
\(22\) 6.43784 1.68911i 1.37255 0.360119i
\(23\) 2.28905 + 5.52625i 0.477300 + 1.15230i 0.960871 + 0.276998i \(0.0893395\pi\)
−0.483571 + 0.875305i \(0.660660\pi\)
\(24\) 3.13280 + 0.0489777i 0.639480 + 0.00999753i
\(25\) −0.665746 + 1.60725i −0.133149 + 0.321451i
\(26\) −1.99331 0.272999i −0.390921 0.0535394i
\(27\) −2.93739 4.39612i −0.565301 0.846033i
\(28\) 2.17485 1.22561i 0.411009 0.231619i
\(29\) 4.74895 0.944625i 0.881858 0.175412i 0.266665 0.963789i \(-0.414078\pi\)
0.615193 + 0.788377i \(0.289078\pi\)
\(30\) 2.67380 + 0.923200i 0.488167 + 0.168552i
\(31\) 2.53878i 0.455979i 0.973664 + 0.227990i \(0.0732152\pi\)
−0.973664 + 0.227990i \(0.926785\pi\)
\(32\) 3.61776 + 4.34877i 0.639536 + 0.768761i
\(33\) 5.21341i 0.907539i
\(34\) 3.23914 9.38131i 0.555508 1.60888i
\(35\) 2.21051 0.439697i 0.373644 0.0743224i
\(36\) 0.953361 3.41522i 0.158894 0.569203i
\(37\) −1.95294 2.92279i −0.321062 0.480503i 0.635472 0.772124i \(-0.280806\pi\)
−0.956534 + 0.291621i \(0.905806\pi\)
\(38\) −0.105802 + 0.772515i −0.0171633 + 0.125318i
\(39\) 0.603082 1.45597i 0.0965704 0.233141i
\(40\) 1.88041 + 4.74833i 0.297319 + 0.750777i
\(41\) −2.30661 5.56864i −0.360232 0.869676i −0.995266 0.0971918i \(-0.969014\pi\)
0.635034 0.772484i \(-0.280986\pi\)
\(42\) 0.496255 + 1.89142i 0.0765738 + 0.291852i
\(43\) −1.76341 + 8.86527i −0.268918 + 1.35194i 0.576177 + 0.817325i \(0.304544\pi\)
−0.845095 + 0.534616i \(0.820456\pi\)
\(44\) −7.14109 + 6.13209i −1.07656 + 0.924448i
\(45\) 1.77849 2.66170i 0.265122 0.396783i
\(46\) −6.33083 5.61062i −0.933430 0.827240i
\(47\) 6.66340 6.66340i 0.971957 0.971957i −0.0276606 0.999617i \(-0.508806\pi\)
0.999617 + 0.0276606i \(0.00880576\pi\)
\(48\) −4.01402 + 1.87653i −0.579374 + 0.270853i
\(49\) −3.84805 3.84805i −0.549722 0.549722i
\(50\) −0.148115 2.45582i −0.0209466 0.347305i
\(51\) 6.46387 + 4.31902i 0.905123 + 0.604784i
\(52\) 2.70367 0.886458i 0.374932 0.122930i
\(53\) −13.5160 2.68850i −1.85657 0.369294i −0.865310 0.501237i \(-0.832878\pi\)
−0.991257 + 0.131943i \(0.957878\pi\)
\(54\) 6.45586 + 3.77228i 0.878531 + 0.513342i
\(55\) −7.85103 + 3.25200i −1.05863 + 0.438500i
\(56\) −2.00707 + 2.90446i −0.268206 + 0.388125i
\(57\) −0.564266 0.233726i −0.0747388 0.0309578i
\(58\) −5.45422 + 4.14019i −0.716174 + 0.543634i
\(59\) 4.57469 3.05671i 0.595574 0.397950i −0.220930 0.975290i \(-0.570909\pi\)
0.816504 + 0.577340i \(0.195909\pi\)
\(60\) −3.97138 + 0.480793i −0.512703 + 0.0620701i
\(61\) 1.79525 + 9.02535i 0.229859 + 1.15558i 0.907457 + 0.420145i \(0.138021\pi\)
−0.677598 + 0.735432i \(0.736979\pi\)
\(62\) −1.57118 3.22835i −0.199541 0.410001i
\(63\) 2.21295 0.278805
\(64\) −7.29172 3.29102i −0.911465 0.411377i
\(65\) 2.56877 0.318617
\(66\) −3.22644 6.62944i −0.397147 0.816027i
\(67\) −0.821008 4.12749i −0.100302 0.504253i −0.997976 0.0635922i \(-0.979744\pi\)
0.897674 0.440660i \(-0.145256\pi\)
\(68\) 1.68691 + 13.9340i 0.204568 + 1.68975i
\(69\) 5.50938 3.68125i 0.663251 0.443170i
\(70\) −2.53879 + 1.92715i −0.303443 + 0.230338i
\(71\) 11.2155 + 4.64562i 1.33104 + 0.551334i 0.930951 0.365143i \(-0.118980\pi\)
0.400087 + 0.916477i \(0.368980\pi\)
\(72\) 0.901281 + 4.93284i 0.106217 + 0.581341i
\(73\) 7.67366 3.17854i 0.898134 0.372019i 0.114632 0.993408i \(-0.463431\pi\)
0.783503 + 0.621389i \(0.213431\pi\)
\(74\) 4.29222 + 2.50803i 0.498961 + 0.291552i
\(75\) 1.89010 + 0.375964i 0.218250 + 0.0434125i
\(76\) −0.343550 1.04782i −0.0394079 0.120193i
\(77\) −4.88445 3.26368i −0.556634 0.371931i
\(78\) 0.134173 + 2.22466i 0.0151921 + 0.251893i
\(79\) −7.40915 7.40915i −0.833594 0.833594i 0.154412 0.988007i \(-0.450652\pi\)
−0.988007 + 0.154412i \(0.950652\pi\)
\(80\) −5.32976 4.87429i −0.595886 0.544963i
\(81\) −0.380539 + 0.380539i −0.0422821 + 0.0422821i
\(82\) 6.37939 + 5.65365i 0.704486 + 0.624342i
\(83\) 3.58524 5.36570i 0.393532 0.588962i −0.580809 0.814040i \(-0.697264\pi\)
0.974341 + 0.225078i \(0.0722637\pi\)
\(84\) −1.80159 2.09803i −0.196570 0.228914i
\(85\) −2.47213 + 12.4282i −0.268140 + 1.34803i
\(86\) −3.24410 12.3645i −0.349820 1.33330i
\(87\) −2.05260 4.95541i −0.220062 0.531276i
\(88\) 5.28570 12.2171i 0.563458 1.30234i
\(89\) 0.0401804 0.0970042i 0.00425912 0.0102824i −0.921736 0.387819i \(-0.873229\pi\)
0.925995 + 0.377536i \(0.123229\pi\)
\(90\) −0.614296 + 4.48531i −0.0647525 + 0.472793i
\(91\) 0.986557 + 1.47649i 0.103419 + 0.154778i
\(92\) 11.5226 + 3.21655i 1.20132 + 0.335348i
\(93\) 2.75829 0.548659i 0.286022 0.0568933i
\(94\) −4.34946 + 12.5971i −0.448613 + 1.29929i
\(95\) 0.995537i 0.102140i
\(96\) 3.94294 4.87038i 0.402425 0.497081i
\(97\) 7.44456i 0.755881i −0.925830 0.377940i \(-0.876632\pi\)
0.925830 0.377940i \(-0.123368\pi\)
\(98\) 7.27469 + 2.51177i 0.734854 + 0.253728i
\(99\) −8.18348 + 1.62780i −0.822471 + 0.163600i
\(100\) 1.70818 + 3.03118i 0.170818 + 0.303118i
\(101\) −1.00131 1.49857i −0.0996342 0.149113i 0.778303 0.627889i \(-0.216081\pi\)
−0.877937 + 0.478776i \(0.841081\pi\)
\(102\) −10.8925 1.49180i −1.07851 0.147710i
\(103\) −1.67198 + 4.03651i −0.164745 + 0.397729i −0.984595 0.174848i \(-0.944056\pi\)
0.819851 + 0.572578i \(0.194056\pi\)
\(104\) −2.88941 + 2.80046i −0.283330 + 0.274608i
\(105\) −0.955430 2.30661i −0.0932404 0.225102i
\(106\) 18.8510 4.94596i 1.83097 0.480394i
\(107\) −0.549321 + 2.76162i −0.0531048 + 0.266976i −0.998211 0.0597869i \(-0.980958\pi\)
0.945106 + 0.326763i \(0.105958\pi\)
\(108\) −10.5439 0.801521i −1.01459 0.0771264i
\(109\) −4.02240 + 6.01994i −0.385276 + 0.576606i −0.972524 0.232801i \(-0.925211\pi\)
0.587249 + 0.809407i \(0.300211\pi\)
\(110\) 7.97089 8.99408i 0.759994 0.857551i
\(111\) −2.75345 + 2.75345i −0.261346 + 0.261346i
\(112\) 0.754725 4.93547i 0.0713148 0.466358i
\(113\) −0.851587 0.851587i −0.0801105 0.0801105i 0.665916 0.746027i \(-0.268041\pi\)
−0.746027 + 0.665916i \(0.768041\pi\)
\(114\) 0.862174 0.0519994i 0.0807500 0.00487019i
\(115\) 8.98032 + 6.00046i 0.837419 + 0.559546i
\(116\) 4.37339 8.64018i 0.406059 0.802221i
\(117\) 2.47373 + 0.492055i 0.228696 + 0.0454905i
\(118\) −3.92552 + 6.71811i −0.361373 + 0.618452i
\(119\) −8.09298 + 3.35222i −0.741882 + 0.307298i
\(120\) 4.75251 3.06916i 0.433842 0.280175i
\(121\) 10.3007 + 4.26670i 0.936429 + 0.387882i
\(122\) −7.86841 10.3657i −0.712372 0.938467i
\(123\) −5.55164 + 3.70949i −0.500575 + 0.334473i
\(124\) 3.99587 + 3.13284i 0.358840 + 0.281337i
\(125\) 2.37413 + 11.9356i 0.212349 + 1.06755i
\(126\) −2.81401 + 1.36953i −0.250692 + 0.122008i
\(127\) −8.83208 −0.783721 −0.391860 0.920025i \(-0.628168\pi\)
−0.391860 + 0.920025i \(0.628168\pi\)
\(128\) 11.3090 0.327756i 0.999580 0.0289698i
\(129\) 10.0129 0.881585
\(130\) −3.26648 + 1.58974i −0.286489 + 0.139430i
\(131\) −0.0801792 0.403088i −0.00700529 0.0352180i 0.977125 0.212668i \(-0.0682152\pi\)
−0.984130 + 0.177450i \(0.943215\pi\)
\(132\) 8.20556 + 6.43331i 0.714202 + 0.559948i
\(133\) 0.572218 0.382344i 0.0496176 0.0331534i
\(134\) 3.59839 + 4.74046i 0.310854 + 0.409513i
\(135\) −8.81999 3.65336i −0.759104 0.314431i
\(136\) −10.7685 16.6747i −0.923389 1.42984i
\(137\) −0.924279 + 0.382849i −0.0789665 + 0.0327090i −0.421817 0.906681i \(-0.638608\pi\)
0.342851 + 0.939390i \(0.388608\pi\)
\(138\) −4.72757 + 8.09073i −0.402437 + 0.688728i
\(139\) −1.84020 0.366038i −0.156084 0.0310469i 0.116430 0.993199i \(-0.462855\pi\)
−0.272513 + 0.962152i \(0.587855\pi\)
\(140\) 2.03570 4.02177i 0.172048 0.339902i
\(141\) −8.67957 5.79950i −0.730952 0.488406i
\(142\) −17.1368 + 1.03356i −1.43809 + 0.0867342i
\(143\) −4.73436 4.73436i −0.395907 0.395907i
\(144\) −4.19888 5.71488i −0.349907 0.476240i
\(145\) 6.18214 6.18214i 0.513399 0.513399i
\(146\) −7.79081 + 8.79089i −0.644772 + 0.727539i
\(147\) −3.34916 + 5.01238i −0.276234 + 0.413414i
\(148\) −7.01019 0.532897i −0.576234 0.0438038i
\(149\) −0.535159 + 2.69043i −0.0438419 + 0.220408i −0.996495 0.0836507i \(-0.973342\pi\)
0.952653 + 0.304059i \(0.0983420\pi\)
\(150\) −2.63614 + 0.691650i −0.215240 + 0.0564730i
\(151\) −7.23693 17.4715i −0.588933 1.42181i −0.884524 0.466495i \(-0.845516\pi\)
0.295591 0.955315i \(-0.404484\pi\)
\(152\) 1.08533 + 1.11980i 0.0880317 + 0.0908279i
\(153\) −4.76133 + 11.4949i −0.384930 + 0.929304i
\(154\) 8.23092 + 1.12729i 0.663267 + 0.0908393i
\(155\) 2.54680 + 3.81156i 0.204564 + 0.306152i
\(156\) −1.54740 2.74586i −0.123891 0.219845i
\(157\) −4.96179 + 0.986961i −0.395994 + 0.0787680i −0.389070 0.921208i \(-0.627204\pi\)
−0.00692319 + 0.999976i \(0.502204\pi\)
\(158\) 14.0069 + 4.83624i 1.11433 + 0.384751i
\(159\) 15.2657i 1.21065i
\(160\) 9.79396 + 2.89976i 0.774280 + 0.229246i
\(161\) 7.46626i 0.588424i
\(162\) 0.248392 0.719403i 0.0195155 0.0565216i
\(163\) −7.76612 + 1.54478i −0.608290 + 0.120996i −0.489618 0.871937i \(-0.662864\pi\)
−0.118672 + 0.992934i \(0.537864\pi\)
\(164\) −11.6110 3.24122i −0.906667 0.253097i
\(165\) 5.22987 + 7.82706i 0.407145 + 0.609336i
\(166\) −1.23835 + 9.04189i −0.0961149 + 0.701787i
\(167\) 7.46970 18.0335i 0.578023 1.39547i −0.316562 0.948572i \(-0.602529\pi\)
0.894585 0.446898i \(-0.147471\pi\)
\(168\) 3.58934 + 1.55292i 0.276924 + 0.119811i
\(169\) −4.20037 10.1406i −0.323105 0.780045i
\(170\) −4.54791 17.3338i −0.348809 1.32944i
\(171\) 0.190698 0.958703i 0.0145830 0.0733138i
\(172\) 11.7773 + 13.7152i 0.898011 + 1.04577i
\(173\) 11.1777 16.7286i 0.849823 1.27185i −0.110758 0.993847i \(-0.535328\pi\)
0.960580 0.278002i \(-0.0896723\pi\)
\(174\) 5.67688 + 5.03106i 0.430363 + 0.381404i
\(175\) −1.53547 + 1.53547i −0.116071 + 0.116071i
\(176\) 0.839450 + 18.8065i 0.0632759 + 1.41760i
\(177\) −4.30965 4.30965i −0.323933 0.323933i
\(178\) 0.00893933 + 0.148218i 0.000670031 + 0.0111094i
\(179\) −0.527103 0.352199i −0.0393975 0.0263246i 0.535716 0.844399i \(-0.320042\pi\)
−0.575113 + 0.818074i \(0.695042\pi\)
\(180\) −1.99469 6.08375i −0.148676 0.453456i
\(181\) 20.6333 + 4.10421i 1.53366 + 0.305064i 0.888461 0.458952i \(-0.151775\pi\)
0.645198 + 0.764016i \(0.276775\pi\)
\(182\) −2.16828 1.26696i −0.160723 0.0939137i
\(183\) 9.41773 3.90095i 0.696179 0.288367i
\(184\) −16.6429 + 3.04083i −1.22693 + 0.224173i
\(185\) −5.86403 2.42896i −0.431132 0.178581i
\(186\) −3.16793 + 2.40471i −0.232284 + 0.176322i
\(187\) 27.4620 18.3496i 2.00822 1.34185i
\(188\) −2.26515 18.7103i −0.165203 1.36459i
\(189\) −1.28750 6.47269i −0.0936517 0.470819i
\(190\) 0.616111 + 1.26594i 0.0446974 + 0.0918407i
\(191\) 16.5260 1.19578 0.597890 0.801578i \(-0.296006\pi\)
0.597890 + 0.801578i \(0.296006\pi\)
\(192\) −1.99975 + 8.63341i −0.144319 + 0.623063i
\(193\) 6.98415 0.502730 0.251365 0.967892i \(-0.419121\pi\)
0.251365 + 0.967892i \(0.419121\pi\)
\(194\) 4.60724 + 9.46659i 0.330780 + 0.679662i
\(195\) −0.555140 2.79088i −0.0397544 0.199859i
\(196\) −10.8050 + 1.30811i −0.771789 + 0.0934361i
\(197\) −2.97854 + 1.99020i −0.212212 + 0.141796i −0.657134 0.753774i \(-0.728231\pi\)
0.444922 + 0.895569i \(0.353231\pi\)
\(198\) 9.39881 7.13446i 0.667944 0.507024i
\(199\) 4.92695 + 2.04081i 0.349262 + 0.144669i 0.550416 0.834890i \(-0.314469\pi\)
−0.201154 + 0.979560i \(0.564469\pi\)
\(200\) −4.04806 2.79734i −0.286241 0.197801i
\(201\) −4.30693 + 1.78399i −0.303788 + 0.125833i
\(202\) 2.20070 + 1.28591i 0.154841 + 0.0904765i
\(203\) 5.92769 + 1.17909i 0.416042 + 0.0827559i
\(204\) 14.7742 4.84405i 1.03440 0.339152i
\(205\) −9.04921 6.04649i −0.632024 0.422305i
\(206\) −0.371981 6.16761i −0.0259171 0.429718i
\(207\) 7.49865 + 7.49865i 0.521192 + 0.521192i
\(208\) 1.94108 5.34927i 0.134590 0.370905i
\(209\) −1.83482 + 1.83482i −0.126917 + 0.126917i
\(210\) 2.64243 + 2.34182i 0.182345 + 0.161601i
\(211\) −7.38307 + 11.0495i −0.508271 + 0.760682i −0.993515 0.113697i \(-0.963731\pi\)
0.485244 + 0.874379i \(0.338731\pi\)
\(212\) −20.9102 + 17.9557i −1.43612 + 1.23320i
\(213\) 2.62350 13.1892i 0.179759 0.903711i
\(214\) −1.01057 3.85167i −0.0690812 0.263295i
\(215\) 6.24580 + 15.0787i 0.425960 + 1.02836i
\(216\) 13.9038 5.50612i 0.946033 0.374644i
\(217\) −1.21270 + 2.92772i −0.0823234 + 0.198746i
\(218\) 1.38935 10.1444i 0.0940985 0.687064i
\(219\) −5.11172 7.65024i −0.345418 0.516955i
\(220\) −4.56968 + 16.3699i −0.308088 + 1.10366i
\(221\) −9.79208 + 1.94777i −0.658686 + 0.131021i
\(222\) 1.79728 5.20535i 0.120626 0.349360i
\(223\) 3.90815i 0.261709i 0.991402 + 0.130855i \(0.0417721\pi\)
−0.991402 + 0.130855i \(0.958228\pi\)
\(224\) 2.09471 + 6.74308i 0.139959 + 0.450541i
\(225\) 3.08427i 0.205618i
\(226\) 1.60991 + 0.555864i 0.107090 + 0.0369755i
\(227\) −0.796815 + 0.158496i −0.0528864 + 0.0105198i −0.221463 0.975169i \(-0.571083\pi\)
0.168576 + 0.985689i \(0.446083\pi\)
\(228\) −1.06417 + 0.599699i −0.0704763 + 0.0397160i
\(229\) 1.29249 + 1.93435i 0.0854101 + 0.127825i 0.871715 0.490014i \(-0.163008\pi\)
−0.786305 + 0.617839i \(0.788008\pi\)
\(230\) −15.1330 2.07258i −0.997841 0.136662i
\(231\) −2.49029 + 6.01209i −0.163849 + 0.395566i
\(232\) −0.214082 + 13.6935i −0.0140552 + 0.899024i
\(233\) 2.58378 + 6.23780i 0.169269 + 0.408652i 0.985636 0.168881i \(-0.0540155\pi\)
−0.816367 + 0.577533i \(0.804015\pi\)
\(234\) −3.45014 + 0.905221i −0.225543 + 0.0591761i
\(235\) 3.31953 16.6884i 0.216542 1.08863i
\(236\) 0.834080 10.9722i 0.0542940 0.714231i
\(237\) −6.44857 + 9.65097i −0.418880 + 0.626898i
\(238\) 8.21653 9.27125i 0.532599 0.600966i
\(239\) −10.1603 + 10.1603i −0.657213 + 0.657213i −0.954720 0.297507i \(-0.903845\pi\)
0.297507 + 0.954720i \(0.403845\pi\)
\(240\) −4.14392 + 6.84398i −0.267489 + 0.441777i
\(241\) −0.721160 0.721160i −0.0464540 0.0464540i 0.683498 0.729952i \(-0.260458\pi\)
−0.729952 + 0.683498i \(0.760458\pi\)
\(242\) −15.7391 + 0.949254i −1.01174 + 0.0610203i
\(243\) −12.6927 8.48097i −0.814235 0.544055i
\(244\) 16.4206 + 8.31160i 1.05122 + 0.532096i
\(245\) −9.63741 1.91700i −0.615711 0.122473i
\(246\) 4.76383 8.15279i 0.303731 0.519803i
\(247\) 0.724666 0.300167i 0.0461094 0.0190991i
\(248\) −7.02003 1.51082i −0.445772 0.0959371i
\(249\) −6.60444 2.73565i −0.418539 0.173365i
\(250\) −10.4056 13.7081i −0.658107 0.866978i
\(251\) −22.8359 + 15.2584i −1.44139 + 0.963104i −0.443627 + 0.896211i \(0.646309\pi\)
−0.997760 + 0.0668929i \(0.978691\pi\)
\(252\) 2.73076 3.48303i 0.172022 0.219410i
\(253\) −5.49202 27.6103i −0.345280 1.73584i
\(254\) 11.2310 5.46594i 0.704694 0.342963i
\(255\) 14.0371 0.879036
\(256\) −14.1778 + 7.41559i −0.886110 + 0.463474i
\(257\) −17.9165 −1.11760 −0.558802 0.829301i \(-0.688739\pi\)
−0.558802 + 0.829301i \(0.688739\pi\)
\(258\) −12.7325 + 6.19670i −0.792691 + 0.385790i
\(259\) −0.856001 4.30341i −0.0531893 0.267401i
\(260\) 3.16985 4.04307i 0.196586 0.250741i
\(261\) 7.13761 4.76920i 0.441807 0.295206i
\(262\) 0.351417 + 0.462951i 0.0217106 + 0.0286012i
\(263\) −5.26516 2.18090i −0.324664 0.134480i 0.214398 0.976746i \(-0.431221\pi\)
−0.539062 + 0.842266i \(0.681221\pi\)
\(264\) −14.4157 3.10248i −0.887224 0.190944i
\(265\) −22.9890 + 9.52236i −1.41220 + 0.584954i
\(266\) −0.491017 + 0.840323i −0.0301062 + 0.0515235i
\(267\) −0.114075 0.0226909i −0.00698127 0.00138866i
\(268\) −7.50950 3.80108i −0.458716 0.232188i
\(269\) 17.3522 + 11.5943i 1.05798 + 0.706919i 0.957621 0.288032i \(-0.0930009\pi\)
0.100359 + 0.994951i \(0.468001\pi\)
\(270\) 13.4766 0.812799i 0.820158 0.0494654i
\(271\) 21.9244 + 21.9244i 1.33181 + 1.33181i 0.903748 + 0.428065i \(0.140804\pi\)
0.428065 + 0.903748i \(0.359196\pi\)
\(272\) 24.0128 + 14.5394i 1.45599 + 0.881579i
\(273\) 1.39094 1.39094i 0.0841837 0.0841837i
\(274\) 0.938389 1.05885i 0.0566902 0.0639672i
\(275\) 4.54872 6.80764i 0.274298 0.410516i
\(276\) 1.00450 13.2140i 0.0604636 0.795391i
\(277\) −1.26542 + 6.36169i −0.0760317 + 0.382237i −1.00000 0.000231952i \(-0.999926\pi\)
0.923968 + 0.382469i \(0.124926\pi\)
\(278\) 2.56655 0.673390i 0.153931 0.0403873i
\(279\) 1.72246 + 4.15838i 0.103121 + 0.248956i
\(280\) −0.0996496 + 6.37397i −0.00595520 + 0.380917i
\(281\) −4.97401 + 12.0083i −0.296725 + 0.716357i 0.703260 + 0.710932i \(0.251727\pi\)
−0.999985 + 0.00542477i \(0.998273\pi\)
\(282\) 14.6262 + 2.00317i 0.870978 + 0.119287i
\(283\) 11.1712 + 16.7189i 0.664058 + 0.993834i 0.998674 + 0.0514789i \(0.0163935\pi\)
−0.334616 + 0.942355i \(0.608607\pi\)
\(284\) 21.1518 11.9198i 1.25513 0.707311i
\(285\) −1.08161 + 0.215146i −0.0640693 + 0.0127442i
\(286\) 8.95024 + 3.09030i 0.529239 + 0.182733i
\(287\) 7.52353i 0.444100i
\(288\) 8.87613 + 4.66853i 0.523031 + 0.275096i
\(289\) 32.2505i 1.89709i
\(290\) −4.03532 + 11.6872i −0.236962 + 0.686298i
\(291\) −8.08824 + 1.60885i −0.474141 + 0.0943125i
\(292\) 4.46645 16.0001i 0.261379 0.936336i
\(293\) −0.206488 0.309031i −0.0120632 0.0180538i 0.825389 0.564564i \(-0.190956\pi\)
−0.837452 + 0.546511i \(0.815956\pi\)
\(294\) 1.15681 8.44650i 0.0674665 0.492610i
\(295\) 3.80177 9.17828i 0.221347 0.534380i
\(296\) 9.24403 3.66078i 0.537298 0.212778i
\(297\) 9.52234 + 22.9890i 0.552542 + 1.33395i
\(298\) −0.984517 3.75237i −0.0570316 0.217369i
\(299\) −1.66015 + 8.34612i −0.0960088 + 0.482669i
\(300\) 2.92411 2.51095i 0.168823 0.144970i
\(301\) −6.26823 + 9.38107i −0.361295 + 0.540716i
\(302\) 20.0152 + 17.7382i 1.15175 + 1.02072i
\(303\) −1.41174 + 1.41174i −0.0811026 + 0.0811026i
\(304\) −2.07313 0.752274i −0.118902 0.0431459i
\(305\) 11.7491 + 11.7491i 0.672752 + 0.672752i
\(306\) −1.05930 17.5636i −0.0605560 1.00405i
\(307\) −14.4357 9.64562i −0.823888 0.550505i 0.0706472 0.997501i \(-0.477494\pi\)
−0.894536 + 0.446997i \(0.852494\pi\)
\(308\) −11.1642 + 3.66043i −0.636139 + 0.208572i
\(309\) 4.74685 + 0.944207i 0.270039 + 0.0537141i
\(310\) −5.59741 3.27067i −0.317911 0.185762i
\(311\) 9.24907 3.83109i 0.524466 0.217241i −0.104711 0.994503i \(-0.533392\pi\)
0.629178 + 0.777262i \(0.283392\pi\)
\(312\) 3.66703 + 2.53403i 0.207605 + 0.143461i
\(313\) −3.99356 1.65419i −0.225730 0.0935003i 0.266952 0.963710i \(-0.413983\pi\)
−0.492682 + 0.870209i \(0.663983\pi\)
\(314\) 5.69866 4.32575i 0.321594 0.244116i
\(315\) 3.32236 2.21993i 0.187194 0.125079i
\(316\) −20.8043 + 2.51866i −1.17034 + 0.141686i
\(317\) −1.65371 8.31376i −0.0928816 0.466947i −0.999032 0.0439915i \(-0.985993\pi\)
0.906150 0.422956i \(-0.139007\pi\)
\(318\) −9.44751 19.4120i −0.529790 1.08857i
\(319\) −22.7879 −1.27588
\(320\) −14.2487 + 2.37384i −0.796526 + 0.132702i
\(321\) 3.11911 0.174092
\(322\) −4.62067 9.49418i −0.257500 0.529090i
\(323\) 0.754863 + 3.79495i 0.0420017 + 0.211157i
\(324\) 0.129360 + 1.06852i 0.00718667 + 0.0593624i
\(325\) −2.05784 + 1.37500i −0.114148 + 0.0762714i
\(326\) 8.91947 6.77060i 0.494004 0.374989i
\(327\) 7.40973 + 3.06921i 0.409759 + 0.169728i
\(328\) 16.7706 3.06416i 0.926001 0.169190i
\(329\) 10.8671 4.50130i 0.599123 0.248165i
\(330\) −11.4943 6.71635i −0.632742 0.369723i
\(331\) 12.2281 + 2.43233i 0.672119 + 0.133693i 0.519340 0.854568i \(-0.326178\pi\)
0.152779 + 0.988260i \(0.451178\pi\)
\(332\) −4.02108 12.2642i −0.220685 0.673083i
\(333\) −5.18179 3.46236i −0.283961 0.189736i
\(334\) 1.66186 + 27.5543i 0.0909327 + 1.50771i
\(335\) −5.37312 5.37312i −0.293565 0.293565i
\(336\) −5.52531 + 0.246628i −0.301430 + 0.0134547i
\(337\) 1.88399 1.88399i 0.102628 0.102628i −0.653929 0.756556i \(-0.726880\pi\)
0.756556 + 0.653929i \(0.226880\pi\)
\(338\) 11.6170 + 10.2954i 0.631880 + 0.559996i
\(339\) −0.741180 + 1.10925i −0.0402554 + 0.0602464i
\(340\) 16.5106 + 19.2273i 0.895413 + 1.04275i
\(341\) 2.33100 11.7187i 0.126231 0.634605i
\(342\) 0.350822 + 1.33712i 0.0189703 + 0.0723029i
\(343\) −5.94315 14.3480i −0.320900 0.774721i
\(344\) −23.4641 10.1517i −1.26510 0.547344i
\(345\) 4.57853 11.0536i 0.246500 0.595103i
\(346\) −3.86080 + 28.1898i −0.207558 + 1.51549i
\(347\) −9.08589 13.5980i −0.487756 0.729979i 0.503199 0.864170i \(-0.332156\pi\)
−0.990955 + 0.134192i \(0.957156\pi\)
\(348\) −10.3324 2.88429i −0.553874 0.154614i
\(349\) 13.4591 2.67719i 0.720451 0.143307i 0.178770 0.983891i \(-0.442788\pi\)
0.541681 + 0.840584i \(0.317788\pi\)
\(350\) 1.00226 2.90279i 0.0535732 0.155160i
\(351\) 7.52174i 0.401481i
\(352\) −12.7063 23.3951i −0.677249 1.24696i
\(353\) 18.8115i 1.00124i 0.865668 + 0.500618i \(0.166894\pi\)
−0.865668 + 0.500618i \(0.833106\pi\)
\(354\) 8.14732 + 2.81307i 0.433025 + 0.149513i
\(355\) 21.4985 4.27632i 1.14102 0.226964i
\(356\) −0.103096 0.182944i −0.00546406 0.00969600i
\(357\) 5.39105 + 8.06827i 0.285324 + 0.427018i
\(358\) 0.888236 + 0.121650i 0.0469447 + 0.00642943i
\(359\) −13.4509 + 32.4734i −0.709913 + 1.71388i −0.00969415 + 0.999953i \(0.503086\pi\)
−0.700219 + 0.713928i \(0.746914\pi\)
\(360\) 6.30154 + 6.50170i 0.332120 + 0.342670i
\(361\) 7.15465 + 17.2729i 0.376561 + 0.909098i
\(362\) −28.7775 + 7.55041i −1.51251 + 0.396841i
\(363\) 2.40951 12.1134i 0.126467 0.635790i
\(364\) 3.54130 + 0.269200i 0.185614 + 0.0141099i
\(365\) 8.33214 12.4699i 0.436124 0.652706i
\(366\) −9.56150 + 10.7889i −0.499788 + 0.563944i
\(367\) 21.5313 21.5313i 1.12393 1.12393i 0.132781 0.991145i \(-0.457609\pi\)
0.991145 0.132781i \(-0.0423906\pi\)
\(368\) 19.2814 14.1666i 1.00511 0.738486i
\(369\) −7.55617 7.55617i −0.393359 0.393359i
\(370\) 8.95999 0.540395i 0.465808 0.0280938i
\(371\) −14.3024 9.55656i −0.742544 0.496152i
\(372\) 2.54016 5.01841i 0.131701 0.260192i
\(373\) 7.27127 + 1.44635i 0.376492 + 0.0748889i 0.379709 0.925106i \(-0.376024\pi\)
−0.00321719 + 0.999995i \(0.501024\pi\)
\(374\) −23.5650 + 40.3290i −1.21852 + 2.08536i
\(375\) 12.4545 5.15882i 0.643147 0.266400i
\(376\) 14.4597 + 22.3904i 0.745703 + 1.15470i
\(377\) 6.36406 + 2.63608i 0.327766 + 0.135765i
\(378\) 5.64297 + 7.43395i 0.290243 + 0.382361i
\(379\) −0.0372684 + 0.0249019i −0.00191435 + 0.00127913i −0.556527 0.830829i \(-0.687866\pi\)
0.554613 + 0.832109i \(0.312866\pi\)
\(380\) −1.56691 1.22849i −0.0803807 0.0630200i
\(381\) 1.90871 + 9.59573i 0.0977861 + 0.491604i
\(382\) −21.0147 + 10.2275i −1.07520 + 0.523285i
\(383\) −23.5166 −1.20164 −0.600822 0.799383i \(-0.705160\pi\)
−0.600822 + 0.799383i \(0.705160\pi\)
\(384\) −2.80008 12.2159i −0.142891 0.623392i
\(385\) −10.6072 −0.540591
\(386\) −8.88112 + 4.32230i −0.452037 + 0.219999i
\(387\) 3.12634 + 15.7172i 0.158921 + 0.798950i
\(388\) −11.7172 9.18653i −0.594852 0.466376i
\(389\) −5.29175 + 3.53583i −0.268302 + 0.179274i −0.682443 0.730939i \(-0.739082\pi\)
0.414140 + 0.910213i \(0.364082\pi\)
\(390\) 2.43312 + 3.20535i 0.123206 + 0.162309i
\(391\) −38.7825 16.0642i −1.96132 0.812404i
\(392\) 12.9303 8.35035i 0.653077 0.421757i
\(393\) −0.420613 + 0.174224i −0.0212171 + 0.00878842i
\(394\) 2.55587 4.37409i 0.128763 0.220364i
\(395\) −18.5561 3.69104i −0.933660 0.185717i
\(396\) −7.53631 + 14.8889i −0.378714 + 0.748197i
\(397\) 19.7084 + 13.1687i 0.989135 + 0.660919i 0.941171 0.337930i \(-0.109727\pi\)
0.0479636 + 0.998849i \(0.484727\pi\)
\(398\) −7.52817 + 0.454039i −0.377353 + 0.0227589i
\(399\) −0.539065 0.539065i −0.0269870 0.0269870i
\(400\) 6.87875 + 1.05189i 0.343938 + 0.0525945i
\(401\) 6.59727 6.59727i 0.329452 0.329452i −0.522926 0.852378i \(-0.675160\pi\)
0.852378 + 0.522926i \(0.175160\pi\)
\(402\) 4.37268 4.93398i 0.218090 0.246085i
\(403\) −2.00660 + 3.00308i −0.0999557 + 0.149594i
\(404\) −3.59426 0.273226i −0.178821 0.0135935i
\(405\) −0.189574 + 0.953055i −0.00942003 + 0.0473577i
\(406\) −8.26742 + 2.16914i −0.410305 + 0.107653i
\(407\) 6.33099 + 15.2844i 0.313816 + 0.757618i
\(408\) −15.7892 + 15.3031i −0.781682 + 0.757617i
\(409\) 15.0322 36.2909i 0.743294 1.79447i 0.151371 0.988477i \(-0.451631\pi\)
0.591924 0.805994i \(-0.298369\pi\)
\(410\) 15.2491 + 2.08847i 0.753099 + 0.103142i
\(411\) 0.615698 + 0.921457i 0.0303701 + 0.0454521i
\(412\) 4.28998 + 7.61260i 0.211352 + 0.375046i
\(413\) 6.73562 1.33980i 0.331438 0.0659271i
\(414\) −14.1761 4.89466i −0.696717 0.240559i
\(415\) 11.6523i 0.571987i
\(416\) 0.842217 + 8.00348i 0.0412931 + 0.392403i
\(417\) 2.07841i 0.101780i
\(418\) 1.19766 3.46870i 0.0585794 0.169660i
\(419\) 20.0398 3.98617i 0.979009 0.194737i 0.320449 0.947266i \(-0.396166\pi\)
0.658560 + 0.752529i \(0.271166\pi\)
\(420\) −4.80944 1.34256i −0.234677 0.0655102i
\(421\) −8.12329 12.1574i −0.395905 0.592514i 0.578947 0.815365i \(-0.303464\pi\)
−0.974853 + 0.222851i \(0.928464\pi\)
\(422\) 2.55013 18.6199i 0.124139 0.906403i
\(423\) 6.39342 15.4351i 0.310859 0.750480i
\(424\) 15.4773 35.7734i 0.751646 1.73731i
\(425\) −4.67212 11.2795i −0.226631 0.547136i
\(426\) 4.82638 + 18.3952i 0.233839 + 0.891250i
\(427\) −2.24085 + 11.2655i −0.108443 + 0.545177i
\(428\) 3.66875 + 4.27241i 0.177336 + 0.206515i
\(429\) −4.12056 + 6.16686i −0.198943 + 0.297739i
\(430\) −17.2740 15.3089i −0.833027 0.738260i
\(431\) −8.45642 + 8.45642i −0.407332 + 0.407332i −0.880807 0.473475i \(-0.842999\pi\)
0.473475 + 0.880807i \(0.342999\pi\)
\(432\) −14.2726 + 15.6063i −0.686693 + 0.750860i
\(433\) 27.5679 + 27.5679i 1.32483 + 1.32483i 0.909816 + 0.415011i \(0.136222\pi\)
0.415011 + 0.909816i \(0.363778\pi\)
\(434\) −0.269801 4.47342i −0.0129509 0.214731i
\(435\) −8.05269 5.38064i −0.386097 0.257982i
\(436\) 4.51137 + 13.7595i 0.216056 + 0.658963i
\(437\) 3.23457 + 0.643396i 0.154730 + 0.0307778i
\(438\) 11.2347 + 6.56462i 0.536812 + 0.313670i
\(439\) −11.1369 + 4.61307i −0.531537 + 0.220170i −0.632276 0.774743i \(-0.717879\pi\)
0.100739 + 0.994913i \(0.467879\pi\)
\(440\) −4.32005 23.6443i −0.205950 1.12720i
\(441\) −8.91363 3.69214i −0.424458 0.175816i
\(442\) 11.2463 8.53685i 0.534932 0.406057i
\(443\) −26.2614 + 17.5473i −1.24772 + 0.833697i −0.991139 0.132827i \(-0.957595\pi\)
−0.256576 + 0.966524i \(0.582595\pi\)
\(444\) 0.936006 + 7.73147i 0.0444209 + 0.366920i
\(445\) −0.0369863 0.185943i −0.00175332 0.00881453i
\(446\) −2.41865 4.96966i −0.114526 0.235320i
\(447\) 3.03870 0.143726
\(448\) −6.83677 7.27822i −0.323007 0.343864i
\(449\) −16.3035 −0.769410 −0.384705 0.923040i \(-0.625697\pi\)
−0.384705 + 0.923040i \(0.625697\pi\)
\(450\) −1.90877 3.92199i −0.0899803 0.184884i
\(451\) 5.53415 + 27.8220i 0.260593 + 1.31009i
\(452\) −2.39119 + 0.289488i −0.112472 + 0.0136164i
\(453\) −17.4182 + 11.6384i −0.818376 + 0.546822i
\(454\) 0.915150 0.694673i 0.0429501 0.0326026i
\(455\) 2.96230 + 1.22702i 0.138875 + 0.0575238i
\(456\) 0.982072 1.42117i 0.0459898 0.0665524i
\(457\) −7.96515 + 3.29927i −0.372594 + 0.154333i −0.561119 0.827735i \(-0.689629\pi\)
0.188526 + 0.982068i \(0.439629\pi\)
\(458\) −2.84066 1.65985i −0.132735 0.0775598i
\(459\) 36.3917 + 7.23876i 1.69862 + 0.337876i
\(460\) 20.5260 6.72989i 0.957028 0.313783i
\(461\) 16.5861 + 11.0825i 0.772494 + 0.516164i 0.878235 0.478230i \(-0.158721\pi\)
−0.105741 + 0.994394i \(0.533721\pi\)
\(462\) −0.554039 9.18621i −0.0257762 0.427381i
\(463\) 3.14804 + 3.14804i 0.146302 + 0.146302i 0.776464 0.630162i \(-0.217012\pi\)
−0.630162 + 0.776464i \(0.717012\pi\)
\(464\) −8.20233 17.5453i −0.380783 0.814522i
\(465\) 3.59072 3.59072i 0.166516 0.166516i
\(466\) −7.14597 6.33302i −0.331031 0.293372i
\(467\) 9.83500 14.7191i 0.455110 0.681120i −0.530971 0.847390i \(-0.678173\pi\)
0.986080 + 0.166271i \(0.0531725\pi\)
\(468\) 3.82703 3.28629i 0.176904 0.151909i
\(469\) 1.02479 5.15197i 0.0473204 0.237896i
\(470\) 6.10685 + 23.2755i 0.281688 + 1.07362i
\(471\) 2.14459 + 5.17750i 0.0988176 + 0.238567i
\(472\) 5.72978 + 14.4686i 0.263735 + 0.665971i
\(473\) 16.2794 39.3020i 0.748529 1.80711i
\(474\) 2.22735 16.2631i 0.102306 0.746990i
\(475\) 0.532887 + 0.797522i 0.0244505 + 0.0365928i
\(476\) −4.71051 + 16.8744i −0.215906 + 0.773438i
\(477\) −23.9625 + 4.76643i −1.09717 + 0.218240i
\(478\) 6.63200 19.2078i 0.303341 0.878546i
\(479\) 25.4529i 1.16297i −0.813556 0.581486i \(-0.802471\pi\)
0.813556 0.581486i \(-0.197529\pi\)
\(480\) 1.03390 11.2674i 0.0471911 0.514286i
\(481\) 5.00088i 0.228020i
\(482\) 1.36334 + 0.470729i 0.0620986 + 0.0214411i
\(483\) 8.11182 1.61354i 0.369100 0.0734186i
\(484\) 19.4265 10.9476i 0.883023 0.497616i
\(485\) −7.46807 11.1768i −0.339107 0.507510i
\(486\) 21.3888 + 2.92935i 0.970215 + 0.132878i
\(487\) −9.97345 + 24.0780i −0.451940 + 1.09108i 0.519643 + 0.854383i \(0.326065\pi\)
−0.971584 + 0.236697i \(0.923935\pi\)
\(488\) −26.0245 0.406862i −1.17807 0.0184178i
\(489\) 3.35669 + 8.10376i 0.151795 + 0.366465i
\(490\) 13.4414 3.52665i 0.607222 0.159318i
\(491\) 5.00023 25.1379i 0.225657 1.13446i −0.687292 0.726382i \(-0.741201\pi\)
0.912949 0.408074i \(-0.133799\pi\)
\(492\) −1.01220 + 13.3154i −0.0456336 + 0.600304i
\(493\) −18.8785 + 28.2537i −0.850246 + 1.27248i
\(494\) −0.735729 + 0.830172i −0.0331020 + 0.0373512i
\(495\) −10.6532 + 10.6532i −0.478825 + 0.478825i
\(496\) 9.86176 2.42333i 0.442806 0.108811i
\(497\) 10.7146 + 10.7146i 0.480617 + 0.480617i
\(498\) 10.0913 0.608626i 0.452202 0.0272732i
\(499\) 27.4357 + 18.3319i 1.22819 + 0.820650i 0.988650 0.150236i \(-0.0480034\pi\)
0.239540 + 0.970886i \(0.423003\pi\)
\(500\) 21.7154 + 10.9917i 0.971144 + 0.491563i
\(501\) −21.2070 4.21833i −0.947457 0.188461i
\(502\) 19.5953 33.5353i 0.874582 1.49675i
\(503\) 24.2013 10.0245i 1.07908 0.446971i 0.228896 0.973451i \(-0.426488\pi\)
0.850188 + 0.526480i \(0.176488\pi\)
\(504\) −1.31691 + 6.11905i −0.0586600 + 0.272564i
\(505\) −3.00660 1.24537i −0.133792 0.0554184i
\(506\) 24.0710 + 31.7107i 1.07008 + 1.40971i
\(507\) −10.1096 + 6.75504i −0.448984 + 0.300002i
\(508\) −10.8987 + 13.9011i −0.483553 + 0.616761i
\(509\) 1.43336 + 7.20596i 0.0635324 + 0.319399i 0.999462 0.0327874i \(-0.0104384\pi\)
−0.935930 + 0.352186i \(0.885438\pi\)
\(510\) −17.8497 + 8.68716i −0.790398 + 0.384674i
\(511\) 10.3675 0.458633
\(512\) 13.4393 18.2040i 0.593939 0.804510i
\(513\) −2.91508 −0.128704
\(514\) 22.7829 11.0881i 1.00491 0.489074i
\(515\) 1.53906 + 7.73739i 0.0678192 + 0.340950i
\(516\) 12.3558 15.7596i 0.543935 0.693778i
\(517\) −36.8755 + 24.6394i −1.62178 + 1.08364i
\(518\) 3.75176 + 4.94251i 0.164843 + 0.217161i
\(519\) −20.5906 8.52890i −0.903827 0.374377i
\(520\) −1.52867 + 7.10295i −0.0670364 + 0.311485i
\(521\) 32.4056 13.4228i 1.41971 0.588065i 0.464925 0.885350i \(-0.346081\pi\)
0.954789 + 0.297285i \(0.0960813\pi\)
\(522\) −6.12474 + 10.4818i −0.268073 + 0.458778i
\(523\) −39.1235 7.78216i −1.71075 0.340290i −0.759926 0.650010i \(-0.774765\pi\)
−0.950828 + 0.309720i \(0.899765\pi\)
\(524\) −0.733374 0.371211i −0.0320376 0.0162164i
\(525\) 2.00007 + 1.33640i 0.0872900 + 0.0583253i
\(526\) 8.04494 0.485206i 0.350776 0.0211560i
\(527\) −12.5984 12.5984i −0.548796 0.548796i
\(528\) 20.2512 4.97633i 0.881320 0.216567i
\(529\) −9.03626 + 9.03626i −0.392881 + 0.392881i
\(530\) 23.3400 26.3360i 1.01382 1.14396i
\(531\) 5.41923 8.11045i 0.235175 0.351964i
\(532\) 0.104330 1.37244i 0.00452326 0.0595029i
\(533\) 1.67288 8.41014i 0.0724606 0.364284i
\(534\) 0.159102 0.0417438i 0.00688500 0.00180643i
\(535\) 1.94563 + 4.69716i 0.0841169 + 0.203076i
\(536\) 11.9016 + 0.186067i 0.514069 + 0.00803686i
\(537\) −0.268738 + 0.648791i −0.0115969 + 0.0279974i
\(538\) −29.2406 4.00472i −1.26065 0.172656i
\(539\) 14.2291 + 21.2953i 0.612889 + 0.917253i
\(540\) −16.6340 + 9.37385i −0.715811 + 0.403386i
\(541\) −21.8431 + 4.34486i −0.939108 + 0.186800i −0.640833 0.767680i \(-0.721411\pi\)
−0.298274 + 0.954480i \(0.596411\pi\)
\(542\) −41.4478 14.3109i −1.78033 0.614706i
\(543\) 23.3043i 1.00008i
\(544\) −39.5330 3.62756i −1.69496 0.155530i
\(545\) 13.0730i 0.559987i
\(546\) −0.907922 + 2.62956i −0.0388555 + 0.112535i
\(547\) 13.0083 2.58751i 0.556195 0.110634i 0.0910141 0.995850i \(-0.470989\pi\)
0.465181 + 0.885215i \(0.345989\pi\)
\(548\) −0.537975 + 1.92719i −0.0229812 + 0.0823253i
\(549\) 9.06383 + 13.5650i 0.386835 + 0.578939i
\(550\) −1.57114 + 11.4718i −0.0669937 + 0.489157i
\(551\) 1.02162 2.46641i 0.0435226 0.105073i
\(552\) 6.90047 + 17.4248i 0.293704 + 0.741647i
\(553\) −5.00508 12.0833i −0.212838 0.513835i
\(554\) −2.32796 8.87274i −0.0989055 0.376967i
\(555\) −1.37170 + 6.89598i −0.0582252 + 0.292718i
\(556\) −2.84691 + 2.44466i −0.120736 + 0.103677i
\(557\) −1.47481 + 2.20722i −0.0624899 + 0.0935227i −0.861399 0.507930i \(-0.830411\pi\)
0.798909 + 0.601452i \(0.205411\pi\)
\(558\) −4.76380 4.22186i −0.201668 0.178726i
\(559\) −9.09282 + 9.09282i −0.384585 + 0.384585i
\(560\) −3.81796 8.16688i −0.161338 0.345114i
\(561\) −25.8710 25.8710i −1.09227 1.09227i
\(562\) −1.10662 18.3482i −0.0466798 0.773973i
\(563\) 14.8288 + 9.90826i 0.624958 + 0.417583i 0.827323 0.561727i \(-0.189863\pi\)
−0.202365 + 0.979310i \(0.564863\pi\)
\(564\) −19.8386 + 6.50451i −0.835354 + 0.273889i
\(565\) −2.13279 0.424238i −0.0897271 0.0178478i
\(566\) −24.5523 14.3464i −1.03201 0.603023i
\(567\) −0.620607 + 0.257064i −0.0260631 + 0.0107957i
\(568\) −19.5200 + 28.2476i −0.819041 + 1.18524i
\(569\) −3.56901 1.47833i −0.149621 0.0619750i 0.306616 0.951833i \(-0.400803\pi\)
−0.456237 + 0.889858i \(0.650803\pi\)
\(570\) 1.24224 0.942964i 0.0520319 0.0394964i
\(571\) −1.49113 + 0.996342i −0.0624019 + 0.0416956i −0.586380 0.810036i \(-0.699447\pi\)
0.523978 + 0.851732i \(0.324447\pi\)
\(572\) −13.2937 + 1.60940i −0.555839 + 0.0672923i
\(573\) −3.57145 17.9549i −0.149200 0.750077i
\(574\) 4.65611 + 9.56701i 0.194342 + 0.399319i
\(575\) −10.4060 −0.433961
\(576\) −14.1762 0.443366i −0.590676 0.0184736i
\(577\) −31.2426 −1.30065 −0.650323 0.759658i \(-0.725366\pi\)
−0.650323 + 0.759658i \(0.725366\pi\)
\(578\) 19.9590 + 41.0101i 0.830183 + 1.70580i
\(579\) −1.50935 7.58802i −0.0627265 0.315347i
\(580\) −2.10155 17.3590i −0.0872622 0.720792i
\(581\) 6.69752 4.47514i 0.277860 0.185660i
\(582\) 9.28943 7.05143i 0.385059 0.292291i
\(583\) 59.9199 + 24.8196i 2.48163 + 1.02792i
\(584\) 4.22245 + 23.1101i 0.174726 + 0.956303i
\(585\) 4.20750 1.74280i 0.173959 0.0720560i
\(586\) 0.453824 + 0.265178i 0.0187473 + 0.0109544i
\(587\) 4.26386 + 0.848135i 0.175988 + 0.0350063i 0.282298 0.959327i \(-0.408903\pi\)
−0.106309 + 0.994333i \(0.533903\pi\)
\(588\) 3.75630 + 11.4566i 0.154907 + 0.472462i
\(589\) 1.16386 + 0.777664i 0.0479559 + 0.0320431i
\(590\) 0.845816 + 14.0240i 0.0348217 + 0.577360i
\(591\) 2.80597 + 2.80597i 0.115422 + 0.115422i
\(592\) −9.48926 + 10.3760i −0.390006 + 0.426450i
\(593\) −5.65821 + 5.65821i −0.232355 + 0.232355i −0.813675 0.581320i \(-0.802536\pi\)
0.581320 + 0.813675i \(0.302536\pi\)
\(594\) −26.3360 23.3399i −1.08058 0.957648i
\(595\) −8.78744 + 13.1513i −0.360250 + 0.539152i
\(596\) 3.57417 + 4.16227i 0.146404 + 0.170493i
\(597\) 1.15250 5.79399i 0.0471686 0.237132i
\(598\) −3.05413 11.6404i −0.124893 0.476013i
\(599\) −1.01558 2.45183i −0.0414955 0.100179i 0.901773 0.432210i \(-0.142266\pi\)
−0.943268 + 0.332031i \(0.892266\pi\)
\(600\) −2.16437 + 5.00260i −0.0883601 + 0.204230i
\(601\) −8.80161 + 21.2490i −0.359025 + 0.866764i 0.636412 + 0.771349i \(0.280418\pi\)
−0.995438 + 0.0954147i \(0.969582\pi\)
\(602\) 2.16506 15.8083i 0.0882415 0.644299i
\(603\) −4.14508 6.20356i −0.168801 0.252628i
\(604\) −36.4293 10.1693i −1.48229 0.413781i
\(605\) 19.7450 3.92752i 0.802747 0.159676i
\(606\) 0.921500 2.66888i 0.0374334 0.108416i
\(607\) 16.6530i 0.675924i 0.941160 + 0.337962i \(0.109738\pi\)
−0.941160 + 0.337962i \(0.890262\pi\)
\(608\) 3.10178 0.326404i 0.125794 0.0132374i
\(609\) 6.69503i 0.271296i
\(610\) −22.2115 7.66910i −0.899318 0.310513i
\(611\) 13.1486 2.61542i 0.531936 0.105809i
\(612\) 12.2167 + 21.6786i 0.493830 + 0.876304i
\(613\) −6.62294 9.91193i −0.267498 0.400339i 0.673266 0.739400i \(-0.264891\pi\)
−0.940764 + 0.339061i \(0.889891\pi\)
\(614\) 24.3260 + 3.33163i 0.981718 + 0.134453i
\(615\) −4.61365 + 11.1383i −0.186040 + 0.449141i
\(616\) 11.9312 11.5639i 0.480721 0.465921i
\(617\) −8.25983 19.9410i −0.332528 0.802794i −0.998390 0.0567193i \(-0.981936\pi\)
0.665862 0.746075i \(-0.268064\pi\)
\(618\) −6.62050 + 1.73703i −0.266315 + 0.0698737i
\(619\) 6.14302 30.8830i 0.246909 1.24129i −0.635978 0.771707i \(-0.719403\pi\)
0.882886 0.469587i \(-0.155597\pi\)
\(620\) 9.14186 + 0.694941i 0.367146 + 0.0279095i
\(621\) 17.5702 26.2957i 0.705068 1.05521i
\(622\) −9.39026 + 10.5957i −0.376515 + 0.424847i
\(623\) 0.0926719 0.0926719i 0.00371282 0.00371282i
\(624\) −6.23128 0.952878i −0.249451 0.0381457i
\(625\) 9.38693 + 9.38693i 0.375477 + 0.375477i
\(626\) 6.10200 0.368023i 0.243885 0.0147092i
\(627\) 2.38999 + 1.59694i 0.0954469 + 0.0637756i
\(628\) −4.56940 + 9.02742i −0.182339 + 0.360233i
\(629\) 24.1953 + 4.81274i 0.964728 + 0.191896i
\(630\) −2.85090 + 4.87901i −0.113583 + 0.194385i
\(631\) 1.20930 0.500909i 0.0481415 0.0199409i −0.358483 0.933536i \(-0.616706\pi\)
0.406624 + 0.913595i \(0.366706\pi\)
\(632\) 24.8963 16.0780i 0.990322 0.639548i
\(633\) 13.6005 + 5.63350i 0.540571 + 0.223912i
\(634\) 7.24804 + 9.54844i 0.287856 + 0.379217i
\(635\) −13.2599 + 8.85997i −0.526202 + 0.351597i
\(636\) 24.0271 + 18.8377i 0.952737 + 0.746964i
\(637\) −1.51038 7.59321i −0.0598436 0.300854i
\(638\) 28.9774 14.1028i 1.14723 0.558336i
\(639\) 21.5222 0.851406
\(640\) 16.6497 11.8367i 0.658137 0.467888i
\(641\) 28.7275 1.13467 0.567334 0.823488i \(-0.307975\pi\)
0.567334 + 0.823488i \(0.307975\pi\)
\(642\) −3.96630 + 1.93034i −0.156537 + 0.0761843i
\(643\) −7.40711 37.2381i −0.292108 1.46853i −0.796283 0.604924i \(-0.793203\pi\)
0.504175 0.863601i \(-0.331797\pi\)
\(644\) 11.7514 + 9.21331i 0.463070 + 0.363055i
\(645\) 15.0327 10.0445i 0.591910 0.395502i
\(646\) −3.30849 4.35854i −0.130171 0.171485i
\(647\) −15.7606 6.52825i −0.619612 0.256652i 0.0507199 0.998713i \(-0.483848\pi\)
−0.670332 + 0.742061i \(0.733848\pi\)
\(648\) −0.825776 1.27869i −0.0324396 0.0502317i
\(649\) −23.9228 + 9.90915i −0.939052 + 0.388968i
\(650\) 1.76582 3.02201i 0.0692611 0.118533i
\(651\) 3.44293 + 0.684842i 0.134939 + 0.0268411i
\(652\) −7.15196 + 14.1296i −0.280093 + 0.553358i
\(653\) 15.5969 + 10.4215i 0.610353 + 0.407825i 0.821972 0.569527i \(-0.192874\pi\)
−0.211620 + 0.977352i \(0.567874\pi\)
\(654\) −11.3218 + 0.682837i −0.442715 + 0.0267010i
\(655\) −0.524737 0.524737i −0.0205032 0.0205032i
\(656\) −19.4294 + 14.2753i −0.758589 + 0.557356i
\(657\) 10.4125 10.4125i 0.406231 0.406231i
\(658\) −11.0330 + 12.4493i −0.430111 + 0.485323i
\(659\) 5.14889 7.70586i 0.200572 0.300178i −0.717525 0.696533i \(-0.754725\pi\)
0.918097 + 0.396355i \(0.129725\pi\)
\(660\) 18.7729 + 1.42707i 0.730734 + 0.0555485i
\(661\) 5.30290 26.6595i 0.206259 1.03693i −0.729416 0.684070i \(-0.760208\pi\)
0.935675 0.352863i \(-0.114792\pi\)
\(662\) −17.0547 + 4.47468i −0.662851 + 0.173914i
\(663\) 4.23235 + 10.2178i 0.164371 + 0.396826i
\(664\) 12.7032 + 13.1067i 0.492980 + 0.508639i
\(665\) 0.475538 1.14805i 0.0184406 0.0445194i
\(666\) 8.73199 + 1.19591i 0.338358 + 0.0463406i
\(667\) 16.0908 + 24.0816i 0.623039 + 0.932443i
\(668\) −19.1659 34.0099i −0.741550 1.31588i
\(669\) 4.24607 0.844595i 0.164162 0.0326539i
\(670\) 10.1578 + 3.50725i 0.392430 + 0.135497i
\(671\) 43.3083i 1.67190i
\(672\) 6.87342 3.73308i 0.265148 0.144007i
\(673\) 13.9409i 0.537384i 0.963226 + 0.268692i \(0.0865914\pi\)
−0.963226 + 0.268692i \(0.913409\pi\)
\(674\) −1.22976 + 3.56166i −0.0473684 + 0.137190i
\(675\) 9.02123 1.79443i 0.347227 0.0690678i
\(676\) −21.1438 5.90231i −0.813224 0.227012i
\(677\) −13.7047 20.5105i −0.526713 0.788281i 0.468760 0.883325i \(-0.344701\pi\)
−0.995473 + 0.0950442i \(0.969701\pi\)
\(678\) 0.256006 1.86924i 0.00983184 0.0717876i
\(679\) 3.55604 8.58504i 0.136468 0.329464i
\(680\) −32.8943 14.2317i −1.26144 0.545761i
\(681\) 0.344401 + 0.831457i 0.0131975 + 0.0318615i
\(682\) 4.28828 + 16.3443i 0.164207 + 0.625855i
\(683\) −7.64710 + 38.4446i −0.292608 + 1.47104i 0.502502 + 0.864576i \(0.332413\pi\)
−0.795110 + 0.606465i \(0.792587\pi\)
\(684\) −1.27361 1.48318i −0.0486978 0.0567107i
\(685\) −1.00359 + 1.50198i −0.0383453 + 0.0573877i
\(686\) 16.4370 + 14.5671i 0.627567 + 0.556173i
\(687\) 1.82228 1.82228i 0.0695241 0.0695241i
\(688\) 36.1198 1.61225i 1.37706 0.0614663i
\(689\) −13.8629 13.8629i −0.528136 0.528136i
\(690\) 1.01863 + 16.8894i 0.0387786 + 0.642967i
\(691\) −15.7489 10.5231i −0.599115 0.400316i 0.218704 0.975791i \(-0.429817\pi\)
−0.817819 + 0.575475i \(0.804817\pi\)
\(692\) −12.5365 38.2358i −0.476565 1.45351i
\(693\) −10.2147 2.03183i −0.388025 0.0771829i
\(694\) 19.9692 + 11.6684i 0.758019 + 0.442925i
\(695\) −3.12994 + 1.29646i −0.118725 + 0.0491777i
\(696\) 14.9238 2.72673i 0.565684 0.103356i
\(697\) 39.0800 + 16.1875i 1.48026 + 0.613144i
\(698\) −15.4580 + 11.7338i −0.585092 + 0.444132i
\(699\) 6.21875 4.15524i 0.235215 0.157165i
\(700\) 0.521968 + 4.31149i 0.0197285 + 0.162959i
\(701\) 4.38884 + 22.0642i 0.165764 + 0.833353i 0.970756 + 0.240067i \(0.0771695\pi\)
−0.804992 + 0.593286i \(0.797830\pi\)
\(702\) 4.65500 + 9.56473i 0.175692 + 0.360998i
\(703\) −1.93811 −0.0730971
\(704\) 30.6361 + 21.8859i 1.15464 + 0.824856i
\(705\) −18.8487 −0.709884
\(706\) −11.6419 23.9210i −0.438150 0.900277i
\(707\) −0.438888 2.20644i −0.0165061 0.0829817i
\(708\) −12.1012 + 1.46502i −0.454790 + 0.0550588i
\(709\) −0.257873 + 0.172305i −0.00968464 + 0.00647107i −0.560403 0.828220i \(-0.689354\pi\)
0.550718 + 0.834691i \(0.314354\pi\)
\(710\) −24.6913 + 18.7427i −0.926647 + 0.703400i
\(711\) −17.1625 7.10896i −0.643646 0.266607i
\(712\) 0.244316 + 0.168830i 0.00915615 + 0.00632718i
\(713\) −14.0300 + 5.81140i −0.525426 + 0.217639i
\(714\) −11.8486 6.92334i −0.443421 0.259099i
\(715\) −11.8572 2.35854i −0.443433 0.0882043i
\(716\) −1.20478 + 0.395013i −0.0450246 + 0.0147623i
\(717\) 13.2345 + 8.84301i 0.494251 + 0.330248i
\(718\) −2.99256 49.6180i −0.111681 1.85173i
\(719\) 13.5820 + 13.5820i 0.506522 + 0.506522i 0.913457 0.406935i \(-0.133403\pi\)
−0.406935 + 0.913457i \(0.633403\pi\)
\(720\) −12.0368 4.36779i −0.448586 0.162778i
\(721\) −3.85623 + 3.85623i −0.143614 + 0.143614i
\(722\) −19.7877 17.5366i −0.736420 0.652643i
\(723\) −0.627663 + 0.939365i −0.0233431 + 0.0349353i
\(724\) 31.9211 27.4108i 1.18634 1.01871i
\(725\) −1.64334 + 8.26165i −0.0610323 + 0.306830i
\(726\) 4.43271 + 16.8948i 0.164513 + 0.627023i
\(727\) −0.663094 1.60085i −0.0245928 0.0593723i 0.911106 0.412172i \(-0.135230\pi\)
−0.935699 + 0.352800i \(0.885230\pi\)
\(728\) −4.66975 + 1.84929i −0.173073 + 0.0685394i
\(729\) −7.08907 + 17.1145i −0.262558 + 0.633872i
\(730\) −2.87795 + 21.0134i −0.106518 + 0.777742i
\(731\) −35.2422 52.7436i −1.30348 1.95079i
\(732\) 5.48158 19.6366i 0.202605 0.725790i
\(733\) 27.6629 5.50250i 1.02175 0.203239i 0.344343 0.938844i \(-0.388102\pi\)
0.677411 + 0.735605i \(0.263102\pi\)
\(734\) −14.0543 + 40.7046i −0.518755 + 1.50244i
\(735\) 10.8850i 0.401498i
\(736\) −15.7512 + 29.9472i −0.580596 + 1.10387i
\(737\) 19.8058i 0.729557i
\(738\) 14.2848 + 4.93221i 0.525832 + 0.181557i
\(739\) −33.7821 + 6.71968i −1.24269 + 0.247187i −0.772294 0.635266i \(-0.780891\pi\)
−0.470401 + 0.882453i \(0.655891\pi\)
\(740\) −11.0592 + 6.23227i −0.406544 + 0.229103i
\(741\) −0.482728 0.722454i −0.0177335 0.0265400i
\(742\) 24.1014 + 3.30086i 0.884790 + 0.121178i
\(743\) −10.3053 + 24.8793i −0.378066 + 0.912733i 0.614262 + 0.789102i \(0.289454\pi\)
−0.992328 + 0.123630i \(0.960546\pi\)
\(744\) −0.124344 + 7.95351i −0.00455866 + 0.291590i
\(745\) 1.89547 + 4.57607i 0.0694447 + 0.167654i
\(746\) −10.1413 + 2.66080i −0.371301 + 0.0974189i
\(747\) 2.23202 11.2211i 0.0816654 0.410560i
\(748\) 5.00701 65.8666i 0.183075 2.40832i
\(749\) −1.95262 + 2.92230i −0.0713471 + 0.106778i
\(750\) −12.6446 + 14.2678i −0.461716 + 0.520985i
\(751\) 15.9076 15.9076i 0.580475 0.580475i −0.354559 0.935034i \(-0.615369\pi\)
0.935034 + 0.354559i \(0.115369\pi\)
\(752\) −32.2440 19.5232i −1.17582 0.711938i
\(753\) 21.5128 + 21.5128i 0.783971 + 0.783971i
\(754\) −9.72401 + 0.586474i −0.354128 + 0.0213581i
\(755\) −28.3917 18.9707i −1.03328 0.690415i
\(756\) −11.7763 5.96081i −0.428301 0.216793i
\(757\) 46.5995 + 9.26922i 1.69369 + 0.336896i 0.945260 0.326319i \(-0.105808\pi\)
0.748429 + 0.663215i \(0.230808\pi\)
\(758\) 0.0319798 0.0547299i 0.00116156 0.00198788i
\(759\) −28.8106 + 11.9338i −1.04576 + 0.433168i
\(760\) 2.75277 + 0.592440i 0.0998536 + 0.0214900i
\(761\) −20.7338 8.58822i −0.751599 0.311323i −0.0262054 0.999657i \(-0.508342\pi\)
−0.725394 + 0.688334i \(0.758342\pi\)
\(762\) −8.36567 11.0208i −0.303056 0.399241i
\(763\) −7.51416 + 5.02080i −0.272031 + 0.181765i
\(764\) 20.3930 26.0108i 0.737792 0.941039i
\(765\) 4.38282 + 22.0339i 0.158461 + 0.796639i
\(766\) 29.9040 14.5538i 1.08048 0.525851i
\(767\) 7.82729 0.282627
\(768\) 11.1207 + 13.8010i 0.401285 + 0.498002i
\(769\) −4.49974 −0.162265 −0.0811325 0.996703i \(-0.525854\pi\)
−0.0811325 + 0.996703i \(0.525854\pi\)
\(770\) 13.4882 6.56448i 0.486081 0.236568i
\(771\) 3.87196 + 19.4657i 0.139445 + 0.701039i
\(772\) 8.61838 10.9926i 0.310182 0.395631i
\(773\) −16.5712 +