Properties

Label 418.2.u.b.9.7
Level $418$
Weight $2$
Character 418.9
Analytic conductor $3.338$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.u (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(11\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 9.7
Character \(\chi\) \(=\) 418.9
Dual form 418.2.u.b.93.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.990268 + 0.139173i) q^{2} +(0.161628 - 0.648256i) q^{3} +(0.961262 + 0.275637i) q^{4} +(0.0866869 - 2.48239i) q^{5} +(0.250275 - 0.619453i) q^{6} +(-0.941853 + 0.419340i) q^{7} +(0.913545 + 0.406737i) q^{8} +(2.25473 + 1.19886i) q^{9} +O(q^{10})\) \(q+(0.990268 + 0.139173i) q^{2} +(0.161628 - 0.648256i) q^{3} +(0.961262 + 0.275637i) q^{4} +(0.0866869 - 2.48239i) q^{5} +(0.250275 - 0.619453i) q^{6} +(-0.941853 + 0.419340i) q^{7} +(0.913545 + 0.406737i) q^{8} +(2.25473 + 1.19886i) q^{9} +(0.431325 - 2.44617i) q^{10} +(-3.31068 - 0.198423i) q^{11} +(0.334051 - 0.578593i) q^{12} +(5.56316 - 3.47625i) q^{13} +(-0.991048 + 0.284178i) q^{14} +(-1.59521 - 0.457420i) q^{15} +(0.848048 + 0.529919i) q^{16} +(4.37522 - 2.32634i) q^{17} +(2.06594 + 1.50099i) q^{18} +(-3.79622 - 2.14213i) q^{19} +(0.767568 - 2.36233i) q^{20} +(0.119610 + 0.678340i) q^{21} +(-3.25085 - 0.657250i) q^{22} +(-4.50639 + 1.64019i) q^{23} +(0.411325 - 0.526471i) q^{24} +(-1.16692 - 0.0815988i) q^{25} +(5.99282 - 2.66817i) q^{26} +(2.48274 - 2.75736i) q^{27} +(-1.02095 + 0.143486i) q^{28} +(-6.20440 + 5.99152i) q^{29} +(-1.51603 - 0.674979i) q^{30} +(0.188993 + 0.209898i) q^{31} +(0.766044 + 0.642788i) q^{32} +(-0.663729 + 2.11410i) q^{33} +(4.65640 - 1.69479i) q^{34} +(0.959319 + 2.37440i) q^{35} +(1.83693 + 1.77391i) q^{36} +(-1.81699 - 1.32012i) q^{37} +(-3.46115 - 2.64962i) q^{38} +(-1.35433 - 4.16821i) q^{39} +(1.08887 - 2.23252i) q^{40} +(-1.22842 + 4.92692i) q^{41} +(0.0240389 + 0.688385i) q^{42} +(8.37808 + 3.04937i) q^{43} +(-3.12774 - 1.10328i) q^{44} +(3.17150 - 5.49319i) q^{45} +(-4.69081 + 0.997062i) q^{46} +(4.97140 + 10.1929i) q^{47} +(0.480592 - 0.464103i) q^{48} +(-3.97267 + 4.41210i) q^{49} +(-1.14420 - 0.243208i) q^{50} +(-0.800908 - 3.21227i) q^{51} +(6.30583 - 1.80817i) q^{52} +(0.380022 + 10.8824i) q^{53} +(2.84233 - 2.38500i) q^{54} +(-0.779555 + 8.20120i) q^{55} -1.03099 q^{56} +(-2.00223 + 2.11469i) q^{57} +(-6.97788 + 5.06972i) q^{58} +(2.41639 - 4.95433i) q^{59} +(-1.40734 - 0.879401i) q^{60} +(-2.07907 - 2.66108i) q^{61} +(0.157942 + 0.234158i) q^{62} +(-2.62636 - 0.183653i) q^{63} +(0.669131 + 0.743145i) q^{64} +(-8.14714 - 14.1113i) q^{65} +(-0.951496 + 2.00115i) q^{66} +(0.179305 - 1.01689i) q^{67} +(4.84696 - 1.03025i) q^{68} +(0.334904 + 3.18640i) q^{69} +(0.619530 + 2.48480i) q^{70} +(-0.349823 + 10.0176i) q^{71} +(1.57218 + 2.01230i) q^{72} +(-1.91177 + 0.133684i) q^{73} +(-1.61558 - 1.56015i) q^{74} +(-0.241504 + 0.743273i) q^{75} +(-3.05871 - 3.10553i) q^{76} +(3.20139 - 1.20142i) q^{77} +(-0.761051 - 4.31613i) q^{78} +(-5.12677 - 12.6892i) q^{79} +(1.38898 - 2.05925i) q^{80} +(2.89774 + 4.29607i) q^{81} +(-1.90216 + 4.70801i) q^{82} +(-12.4536 - 2.64709i) q^{83} +(-0.0719996 + 0.685031i) q^{84} +(-5.39561 - 11.0626i) q^{85} +(7.87215 + 4.18570i) q^{86} +(2.88123 + 4.99044i) q^{87} +(-2.94375 - 1.52784i) q^{88} +(9.28812 + 7.79365i) q^{89} +(3.90513 - 4.99834i) q^{90} +(-3.78195 + 5.60697i) q^{91} +(-4.78392 + 0.334524i) q^{92} +(0.166615 - 0.0885905i) q^{93} +(3.50445 + 10.7856i) q^{94} +(-5.64668 + 9.23799i) q^{95} +(0.540506 - 0.392700i) q^{96} +(-10.4805 - 1.47294i) q^{97} +(-4.54806 + 3.81627i) q^{98} +(-7.22682 - 4.41644i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9} + 3 q^{11} - 6 q^{13} + 18 q^{14} - 39 q^{15} - 3 q^{17} - 78 q^{18} - 45 q^{19} - 24 q^{20} + 48 q^{21} + 6 q^{23} - 9 q^{24} + 30 q^{25} + 18 q^{26} - 24 q^{27} + 6 q^{28} - 3 q^{31} - 63 q^{33} - 36 q^{34} + 42 q^{35} - 9 q^{36} + 60 q^{37} - 3 q^{38} + 36 q^{39} + 39 q^{41} + 6 q^{42} - 60 q^{43} + 60 q^{44} - 108 q^{45} - 12 q^{46} - 24 q^{47} - 12 q^{48} + 6 q^{49} + 18 q^{50} + 96 q^{51} + 3 q^{52} - 117 q^{53} + 54 q^{54} + 102 q^{55} - 96 q^{57} - 60 q^{58} - 141 q^{59} + 36 q^{60} + 24 q^{61} - 27 q^{62} - 81 q^{63} + 33 q^{64} - 102 q^{65} + 72 q^{66} + 102 q^{67} - 21 q^{68} - 6 q^{69} - 33 q^{70} - 66 q^{71} - 12 q^{72} + 36 q^{73} + 18 q^{74} + 6 q^{76} - 174 q^{77} + 18 q^{78} + 36 q^{79} + 60 q^{81} - 36 q^{82} - 24 q^{83} + 48 q^{84} + 174 q^{85} - 21 q^{86} + 12 q^{87} + 3 q^{88} + 30 q^{89} - 48 q^{90} - 18 q^{91} + 18 q^{92} - 123 q^{93} - 120 q^{94} - 18 q^{95} - 24 q^{97} - 84 q^{98} - 141 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.990268 + 0.139173i 0.700225 + 0.0984102i
\(3\) 0.161628 0.648256i 0.0933162 0.374271i −0.905421 0.424515i \(-0.860444\pi\)
0.998737 + 0.0502444i \(0.0160000\pi\)
\(4\) 0.961262 + 0.275637i 0.480631 + 0.137819i
\(5\) 0.0866869 2.48239i 0.0387676 1.11016i −0.811681 0.584100i \(-0.801447\pi\)
0.850449 0.526057i \(-0.176330\pi\)
\(6\) 0.250275 0.619453i 0.102174 0.252891i
\(7\) −0.941853 + 0.419340i −0.355987 + 0.158496i −0.576935 0.816790i \(-0.695752\pi\)
0.220948 + 0.975286i \(0.429085\pi\)
\(8\) 0.913545 + 0.406737i 0.322987 + 0.143803i
\(9\) 2.25473 + 1.19886i 0.751577 + 0.399620i
\(10\) 0.431325 2.44617i 0.136397 0.773545i
\(11\) −3.31068 0.198423i −0.998209 0.0598266i
\(12\) 0.334051 0.578593i 0.0964322 0.167025i
\(13\) 5.56316 3.47625i 1.54294 0.964137i 0.551415 0.834231i \(-0.314088\pi\)
0.991526 0.129906i \(-0.0414676\pi\)
\(14\) −0.991048 + 0.284178i −0.264869 + 0.0759499i
\(15\) −1.59521 0.457420i −0.411882 0.118105i
\(16\) 0.848048 + 0.529919i 0.212012 + 0.132480i
\(17\) 4.37522 2.32634i 1.06115 0.564221i 0.155317 0.987865i \(-0.450360\pi\)
0.905829 + 0.423643i \(0.139249\pi\)
\(18\) 2.06594 + 1.50099i 0.486946 + 0.353787i
\(19\) −3.79622 2.14213i −0.870912 0.491439i
\(20\) 0.767568 2.36233i 0.171633 0.528233i
\(21\) 0.119610 + 0.678340i 0.0261010 + 0.148026i
\(22\) −3.25085 0.657250i −0.693083 0.140126i
\(23\) −4.50639 + 1.64019i −0.939648 + 0.342004i −0.766027 0.642809i \(-0.777769\pi\)
−0.173621 + 0.984813i \(0.555547\pi\)
\(24\) 0.411325 0.526471i 0.0839613 0.107466i
\(25\) −1.16692 0.0815988i −0.233383 0.0163198i
\(26\) 5.99282 2.66817i 1.17529 0.523272i
\(27\) 2.48274 2.75736i 0.477804 0.530655i
\(28\) −1.02095 + 0.143486i −0.192942 + 0.0271162i
\(29\) −6.20440 + 5.99152i −1.15213 + 1.11260i −0.160032 + 0.987112i \(0.551160\pi\)
−0.992095 + 0.125485i \(0.959951\pi\)
\(30\) −1.51603 0.674979i −0.276788 0.123234i
\(31\) 0.188993 + 0.209898i 0.0339442 + 0.0376988i 0.759878 0.650066i \(-0.225259\pi\)
−0.725934 + 0.687765i \(0.758592\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) −0.663729 + 2.11410i −0.115540 + 0.368018i
\(34\) 4.65640 1.69479i 0.798566 0.290654i
\(35\) 0.959319 + 2.37440i 0.162154 + 0.401346i
\(36\) 1.83693 + 1.77391i 0.306156 + 0.295651i
\(37\) −1.81699 1.32012i −0.298711 0.217026i 0.428326 0.903624i \(-0.359103\pi\)
−0.727037 + 0.686598i \(0.759103\pi\)
\(38\) −3.46115 2.64962i −0.561472 0.429824i
\(39\) −1.35433 4.16821i −0.216867 0.667448i
\(40\) 1.08887 2.23252i 0.172166 0.352992i
\(41\) −1.22842 + 4.92692i −0.191847 + 0.769456i 0.794839 + 0.606820i \(0.207555\pi\)
−0.986686 + 0.162636i \(0.948000\pi\)
\(42\) 0.0240389 + 0.688385i 0.00370929 + 0.106220i
\(43\) 8.37808 + 3.04937i 1.27765 + 0.465025i 0.889653 0.456638i \(-0.150946\pi\)
0.387993 + 0.921663i \(0.373169\pi\)
\(44\) −3.12774 1.10328i −0.471525 0.166326i
\(45\) 3.17150 5.49319i 0.472779 0.818877i
\(46\) −4.69081 + 0.997062i −0.691622 + 0.147009i
\(47\) 4.97140 + 10.1929i 0.725154 + 1.48679i 0.867748 + 0.497004i \(0.165567\pi\)
−0.142594 + 0.989781i \(0.545544\pi\)
\(48\) 0.480592 0.464103i 0.0693675 0.0669874i
\(49\) −3.97267 + 4.41210i −0.567525 + 0.630300i
\(50\) −1.14420 0.243208i −0.161815 0.0343948i
\(51\) −0.800908 3.21227i −0.112150 0.449807i
\(52\) 6.30583 1.80817i 0.874461 0.250748i
\(53\) 0.380022 + 10.8824i 0.0522001 + 1.49481i 0.689549 + 0.724239i \(0.257809\pi\)
−0.637349 + 0.770576i \(0.719969\pi\)
\(54\) 2.84233 2.38500i 0.386792 0.324557i
\(55\) −0.779555 + 8.20120i −0.105115 + 1.10585i
\(56\) −1.03099 −0.137771
\(57\) −2.00223 + 2.11469i −0.265201 + 0.280098i
\(58\) −6.97788 + 5.06972i −0.916240 + 0.665687i
\(59\) 2.41639 4.95433i 0.314587 0.644999i −0.681649 0.731679i \(-0.738737\pi\)
0.996236 + 0.0866801i \(0.0276258\pi\)
\(60\) −1.40734 0.879401i −0.181686 0.113530i
\(61\) −2.07907 2.66108i −0.266197 0.340717i 0.636277 0.771461i \(-0.280473\pi\)
−0.902474 + 0.430744i \(0.858251\pi\)
\(62\) 0.157942 + 0.234158i 0.0200586 + 0.0297381i
\(63\) −2.62636 0.183653i −0.330890 0.0231381i
\(64\) 0.669131 + 0.743145i 0.0836413 + 0.0928931i
\(65\) −8.14714 14.1113i −1.01053 1.75029i
\(66\) −0.951496 + 2.00115i −0.117121 + 0.246325i
\(67\) 0.179305 1.01689i 0.0219055 0.124233i −0.971894 0.235419i \(-0.924354\pi\)
0.993800 + 0.111186i \(0.0354650\pi\)
\(68\) 4.84696 1.03025i 0.587780 0.124936i
\(69\) 0.334904 + 3.18640i 0.0403177 + 0.383597i
\(70\) 0.619530 + 2.48480i 0.0740481 + 0.296991i
\(71\) −0.349823 + 10.0176i −0.0415164 + 1.18887i 0.782627 + 0.622491i \(0.213879\pi\)
−0.824143 + 0.566382i \(0.808343\pi\)
\(72\) 1.57218 + 2.01230i 0.185283 + 0.237151i
\(73\) −1.91177 + 0.133684i −0.223755 + 0.0156465i −0.181194 0.983447i \(-0.557996\pi\)
−0.0425613 + 0.999094i \(0.513552\pi\)
\(74\) −1.61558 1.56015i −0.187807 0.181364i
\(75\) −0.241504 + 0.743273i −0.0278865 + 0.0858257i
\(76\) −3.05871 3.10553i −0.350858 0.356229i
\(77\) 3.20139 1.20142i 0.364832 0.136914i
\(78\) −0.761051 4.31613i −0.0861720 0.488706i
\(79\) −5.12677 12.6892i −0.576807 1.42765i −0.880118 0.474756i \(-0.842536\pi\)
0.303311 0.952892i \(-0.401908\pi\)
\(80\) 1.38898 2.05925i 0.155293 0.230231i
\(81\) 2.89774 + 4.29607i 0.321971 + 0.477341i
\(82\) −1.90216 + 4.70801i −0.210058 + 0.519913i
\(83\) −12.4536 2.64709i −1.36696 0.290556i −0.534745 0.845014i \(-0.679592\pi\)
−0.832212 + 0.554458i \(0.812926\pi\)
\(84\) −0.0719996 + 0.685031i −0.00785580 + 0.0747430i
\(85\) −5.39561 11.0626i −0.585237 1.19991i
\(86\) 7.87215 + 4.18570i 0.848876 + 0.451356i
\(87\) 2.88123 + 4.99044i 0.308901 + 0.535031i
\(88\) −2.94375 1.52784i −0.313805 0.162869i
\(89\) 9.28812 + 7.79365i 0.984538 + 0.826126i 0.984768 0.173874i \(-0.0556286\pi\)
−0.000229552 1.00000i \(0.500073\pi\)
\(90\) 3.90513 4.99834i 0.411637 0.526872i
\(91\) −3.78195 + 5.60697i −0.396456 + 0.587770i
\(92\) −4.78392 + 0.334524i −0.498758 + 0.0348766i
\(93\) 0.166615 0.0885905i 0.0172771 0.00918641i
\(94\) 3.50445 + 10.7856i 0.361456 + 1.11245i
\(95\) −5.64668 + 9.23799i −0.579338 + 0.947798i
\(96\) 0.540506 0.392700i 0.0551651 0.0400798i
\(97\) −10.4805 1.47294i −1.06413 0.149554i −0.414690 0.909963i \(-0.636110\pi\)
−0.649445 + 0.760409i \(0.724999\pi\)
\(98\) −4.54806 + 3.81627i −0.459423 + 0.385502i
\(99\) −7.22682 4.41644i −0.726323 0.443869i
\(100\) −1.09922 0.400084i −0.109922 0.0400084i
\(101\) 1.27066 0.793995i 0.126435 0.0790055i −0.465227 0.885191i \(-0.654027\pi\)
0.591662 + 0.806186i \(0.298472\pi\)
\(102\) −0.346052 3.29247i −0.0342643 0.326003i
\(103\) 0.187344 1.78246i 0.0184595 0.175631i −0.981408 0.191935i \(-0.938524\pi\)
0.999867 + 0.0163049i \(0.00519023\pi\)
\(104\) 6.49611 0.912969i 0.636996 0.0895240i
\(105\) 1.69427 0.238114i 0.165344 0.0232376i
\(106\) −1.13822 + 10.8294i −0.110553 + 1.05184i
\(107\) −0.416508 3.96281i −0.0402653 0.383099i −0.996034 0.0889781i \(-0.971640\pi\)
0.955768 0.294121i \(-0.0950268\pi\)
\(108\) 3.14660 1.96621i 0.302781 0.189199i
\(109\) 6.88518 + 2.50600i 0.659480 + 0.240031i 0.650012 0.759924i \(-0.274764\pi\)
0.00946826 + 0.999955i \(0.496986\pi\)
\(110\) −1.91335 + 8.01290i −0.182431 + 0.764000i
\(111\) −1.14945 + 0.964505i −0.109101 + 0.0915468i
\(112\) −1.02095 0.143486i −0.0964710 0.0135581i
\(113\) 0.998084 0.725150i 0.0938918 0.0682164i −0.539849 0.841762i \(-0.681519\pi\)
0.633741 + 0.773546i \(0.281519\pi\)
\(114\) −2.27705 + 1.81546i −0.213265 + 0.170033i
\(115\) 3.68095 + 11.3288i 0.343250 + 1.05642i
\(116\) −7.61554 + 4.04925i −0.707085 + 0.375964i
\(117\) 16.7110 1.16854i 1.54493 0.108032i
\(118\) 3.08238 4.56982i 0.283756 0.420686i
\(119\) −3.14528 + 4.02578i −0.288328 + 0.369043i
\(120\) −1.27125 1.06671i −0.116049 0.0973764i
\(121\) 10.9213 + 1.31383i 0.992842 + 0.119439i
\(122\) −1.68848 2.92454i −0.152868 0.264775i
\(123\) 2.99536 + 1.59266i 0.270082 + 0.143605i
\(124\) 0.123816 + 0.253861i 0.0111190 + 0.0227974i
\(125\) 0.994476 9.46180i 0.0889486 0.846289i
\(126\) −2.57524 0.547383i −0.229420 0.0487648i
\(127\) −3.31896 + 8.21471i −0.294510 + 0.728938i 0.705290 + 0.708919i \(0.250817\pi\)
−0.999800 + 0.0200185i \(0.993628\pi\)
\(128\) 0.559193 + 0.829038i 0.0494261 + 0.0732773i
\(129\) 3.33091 4.93828i 0.293270 0.434791i
\(130\) −6.10394 15.1078i −0.535351 1.32504i
\(131\) −1.72609 9.78917i −0.150810 0.855283i −0.962517 0.271220i \(-0.912573\pi\)
0.811708 0.584064i \(-0.198538\pi\)
\(132\) −1.22074 + 1.84926i −0.106252 + 0.160957i
\(133\) 4.47376 + 0.425667i 0.387924 + 0.0369100i
\(134\) 0.319083 0.982036i 0.0275646 0.0848350i
\(135\) −6.62962 6.40215i −0.570587 0.551010i
\(136\) 4.94317 0.345660i 0.423873 0.0296401i
\(137\) −5.99950 7.67901i −0.512572 0.656062i 0.460203 0.887814i \(-0.347777\pi\)
−0.972775 + 0.231752i \(0.925554\pi\)
\(138\) −0.111816 + 3.20200i −0.00951843 + 0.272572i
\(139\) −1.48988 5.97559i −0.126370 0.506843i −0.999802 0.0198967i \(-0.993666\pi\)
0.873432 0.486946i \(-0.161889\pi\)
\(140\) 0.267684 + 2.54684i 0.0226234 + 0.215247i
\(141\) 7.41112 1.57528i 0.624129 0.132663i
\(142\) −1.74060 + 9.87145i −0.146068 + 0.828394i
\(143\) −19.1076 + 10.4049i −1.59786 + 0.870101i
\(144\) 1.27682 + 2.21152i 0.106402 + 0.184293i
\(145\) 14.3354 + 15.9211i 1.19049 + 1.32218i
\(146\) −1.91177 0.133684i −0.158219 0.0110637i
\(147\) 2.21807 + 3.28843i 0.182944 + 0.271225i
\(148\) −1.38273 1.76981i −0.113659 0.145477i
\(149\) −20.0980 12.5586i −1.64649 1.02884i −0.950470 0.310816i \(-0.899398\pi\)
−0.696019 0.718024i \(-0.745047\pi\)
\(150\) −0.342597 + 0.702428i −0.0279729 + 0.0573530i
\(151\) 15.9949 11.6210i 1.30165 0.945702i 0.301677 0.953410i \(-0.402453\pi\)
0.999970 + 0.00770766i \(0.00245345\pi\)
\(152\) −2.59673 3.50100i −0.210623 0.283968i
\(153\) 12.6539 1.02301
\(154\) 3.33743 0.744179i 0.268938 0.0599676i
\(155\) 0.537432 0.450959i 0.0431676 0.0362219i
\(156\) −0.152955 4.38005i −0.0122462 0.350684i
\(157\) −19.4513 + 5.57757i −1.55238 + 0.445138i −0.938791 0.344487i \(-0.888053\pi\)
−0.613590 + 0.789625i \(0.710275\pi\)
\(158\) −3.31088 13.2792i −0.263400 1.05644i
\(159\) 7.11602 + 1.51256i 0.564337 + 0.119954i
\(160\) 1.66205 1.84590i 0.131397 0.145931i
\(161\) 3.55656 3.43453i 0.280296 0.270679i
\(162\) 2.27164 + 4.65755i 0.178477 + 0.365932i
\(163\) 17.5128 3.72246i 1.37171 0.291566i 0.537616 0.843190i \(-0.319325\pi\)
0.834093 + 0.551624i \(0.185992\pi\)
\(164\) −2.53888 + 4.39746i −0.198253 + 0.343384i
\(165\) 5.19048 + 1.83090i 0.404079 + 0.142535i
\(166\) −11.9640 4.35453i −0.928584 0.337977i
\(167\) 0.589278 + 16.8747i 0.0455997 + 1.30580i 0.779438 + 0.626479i \(0.215505\pi\)
−0.733838 + 0.679324i \(0.762273\pi\)
\(168\) −0.166637 + 0.668344i −0.0128563 + 0.0515638i
\(169\) 13.1656 26.9935i 1.01274 2.07642i
\(170\) −3.80348 11.7059i −0.291714 0.897803i
\(171\) −5.99133 9.38107i −0.458168 0.717388i
\(172\) 7.21301 + 5.24056i 0.549987 + 0.399589i
\(173\) −9.47337 9.14832i −0.720247 0.695534i 0.241215 0.970472i \(-0.422454\pi\)
−0.961462 + 0.274937i \(0.911343\pi\)
\(174\) 2.15866 + 5.34286i 0.163647 + 0.405041i
\(175\) 1.13328 0.412481i 0.0856681 0.0311806i
\(176\) −2.70247 1.92267i −0.203706 0.144926i
\(177\) −2.82112 2.36720i −0.212048 0.177930i
\(178\) 8.11306 + 9.01046i 0.608099 + 0.675363i
\(179\) 1.94310 + 0.865125i 0.145234 + 0.0646625i 0.478067 0.878323i \(-0.341338\pi\)
−0.332832 + 0.942986i \(0.608004\pi\)
\(180\) 4.56277 4.40621i 0.340088 0.328420i
\(181\) 20.5537 2.88863i 1.52774 0.214710i 0.675306 0.737538i \(-0.264012\pi\)
0.852439 + 0.522827i \(0.175123\pi\)
\(182\) −4.52548 + 5.02606i −0.335451 + 0.372556i
\(183\) −2.06110 + 0.917661i −0.152361 + 0.0678354i
\(184\) −4.78392 0.334524i −0.352675 0.0246615i
\(185\) −3.43456 + 4.39603i −0.252514 + 0.323203i
\(186\) 0.177323 0.0645401i 0.0130019 0.00473231i
\(187\) −14.9466 + 6.83365i −1.09300 + 0.499726i
\(188\) 1.96928 + 11.1683i 0.143624 + 0.814535i
\(189\) −1.18210 + 3.63814i −0.0859854 + 0.264636i
\(190\) −6.87741 + 8.36222i −0.498940 + 0.606659i
\(191\) −0.0169063 0.0122832i −0.00122330 0.000888778i 0.587173 0.809461i \(-0.300241\pi\)
−0.588397 + 0.808572i \(0.700241\pi\)
\(192\) 0.589899 0.313655i 0.0425723 0.0226361i
\(193\) −14.4785 9.04720i −1.04219 0.651231i −0.103017 0.994680i \(-0.532849\pi\)
−0.939172 + 0.343448i \(0.888405\pi\)
\(194\) −10.1735 2.91721i −0.730416 0.209443i
\(195\) −10.4645 + 3.00065i −0.749380 + 0.214881i
\(196\) −5.03492 + 3.14617i −0.359637 + 0.224726i
\(197\) −6.22823 + 10.7876i −0.443743 + 0.768585i −0.997964 0.0637845i \(-0.979683\pi\)
0.554221 + 0.832370i \(0.313016\pi\)
\(198\) −6.54184 5.37924i −0.464908 0.382286i
\(199\) −3.18271 + 18.0500i −0.225616 + 1.27953i 0.635888 + 0.771782i \(0.280634\pi\)
−0.861504 + 0.507751i \(0.830477\pi\)
\(200\) −1.03284 0.549172i −0.0730330 0.0388323i
\(201\) −0.630223 0.280593i −0.0444525 0.0197915i
\(202\) 1.36879 0.609427i 0.0963081 0.0428791i
\(203\) 3.33115 8.24488i 0.233801 0.578677i
\(204\) 0.115538 3.30859i 0.00808931 0.231647i
\(205\) 12.1240 + 3.47651i 0.846780 + 0.242810i
\(206\) 0.433590 1.73904i 0.0302097 0.121164i
\(207\) −12.1271 1.70435i −0.842889 0.118460i
\(208\) 6.55995 0.454851
\(209\) 12.1430 + 7.84517i 0.839951 + 0.542662i
\(210\) 1.71092 0.118065
\(211\) 27.2008 + 3.82283i 1.87258 + 0.263174i 0.981612 0.190887i \(-0.0611363\pi\)
0.890971 + 0.454061i \(0.150025\pi\)
\(212\) −2.63430 + 10.5656i −0.180924 + 0.725648i
\(213\) 6.43745 + 1.84591i 0.441087 + 0.126480i
\(214\) 0.139062 3.98221i 0.00950606 0.272218i
\(215\) 8.29600 20.5333i 0.565782 1.40036i
\(216\) 3.38962 1.50915i 0.230634 0.102685i
\(217\) −0.266023 0.118441i −0.0180588 0.00804030i
\(218\) 6.46940 + 3.43984i 0.438163 + 0.232975i
\(219\) −0.222335 + 1.26092i −0.0150240 + 0.0852052i
\(220\) −3.00991 + 7.66863i −0.202928 + 0.517019i
\(221\) 16.2531 28.1511i 1.09330 1.89365i
\(222\) −1.27250 + 0.795146i −0.0854046 + 0.0533667i
\(223\) 6.27591 1.79959i 0.420266 0.120509i −0.0588378 0.998268i \(-0.518739\pi\)
0.479104 + 0.877758i \(0.340962\pi\)
\(224\) −0.991048 0.284178i −0.0662172 0.0189875i
\(225\) −2.53326 1.58296i −0.168884 0.105530i
\(226\) 1.08929 0.579187i 0.0724586 0.0385269i
\(227\) 1.50588 + 1.09409i 0.0999489 + 0.0726171i 0.636637 0.771163i \(-0.280325\pi\)
−0.536688 + 0.843781i \(0.680325\pi\)
\(228\) −2.50755 + 1.48089i −0.166067 + 0.0980740i
\(229\) −2.06650 + 6.36002i −0.136558 + 0.420282i −0.995829 0.0912382i \(-0.970918\pi\)
0.859271 + 0.511520i \(0.170918\pi\)
\(230\) 2.06846 + 11.7308i 0.136390 + 0.773508i
\(231\) −0.261392 2.26950i −0.0171983 0.149322i
\(232\) −8.10497 + 2.94997i −0.532117 + 0.193675i
\(233\) 14.6571 18.7602i 0.960217 1.22902i −0.0131842 0.999913i \(-0.504197\pi\)
0.973401 0.229108i \(-0.0735810\pi\)
\(234\) 16.7110 + 1.16854i 1.09243 + 0.0763901i
\(235\) 25.7337 11.4574i 1.67868 0.747396i
\(236\) 3.68838 4.09636i 0.240093 0.266651i
\(237\) −9.05449 + 1.27253i −0.588152 + 0.0826594i
\(238\) −3.67495 + 3.54886i −0.238212 + 0.230039i
\(239\) −10.5077 4.67831i −0.679684 0.302615i 0.0377038 0.999289i \(-0.487996\pi\)
−0.717388 + 0.696674i \(0.754662\pi\)
\(240\) −1.11042 1.23325i −0.0716774 0.0796058i
\(241\) 1.31142 + 1.10041i 0.0844760 + 0.0708837i 0.684048 0.729437i \(-0.260218\pi\)
−0.599572 + 0.800321i \(0.704662\pi\)
\(242\) 10.6321 + 2.82099i 0.683459 + 0.181340i
\(243\) 13.7132 4.99120i 0.879703 0.320186i
\(244\) −1.26503 3.13107i −0.0809854 0.200446i
\(245\) 10.6082 + 10.2442i 0.677731 + 0.654477i
\(246\) 2.74455 + 1.99403i 0.174986 + 0.127135i
\(247\) −28.5655 + 1.27958i −1.81758 + 0.0814176i
\(248\) 0.0872806 + 0.268622i 0.00554232 + 0.0170575i
\(249\) −3.72884 + 7.64526i −0.236306 + 0.484499i
\(250\) 2.30163 9.23132i 0.145568 0.583840i
\(251\) −0.0531120 1.52093i −0.00335240 0.0960002i −0.999914 0.0131409i \(-0.995817\pi\)
0.996561 0.0828593i \(-0.0264052\pi\)
\(252\) −2.47399 0.900460i −0.155847 0.0567237i
\(253\) 15.2447 4.53599i 0.958425 0.285175i
\(254\) −4.42993 + 7.67286i −0.277958 + 0.481438i
\(255\) −8.04352 + 1.70970i −0.503705 + 0.107066i
\(256\) 0.438371 + 0.898794i 0.0273982 + 0.0561746i
\(257\) −1.50462 + 1.45299i −0.0938555 + 0.0906352i −0.740106 0.672490i \(-0.765225\pi\)
0.646251 + 0.763125i \(0.276336\pi\)
\(258\) 3.98577 4.42665i 0.248143 0.275591i
\(259\) 2.26492 + 0.481423i 0.140735 + 0.0299142i
\(260\) −3.94194 15.8103i −0.244469 0.980511i
\(261\) −21.1722 + 6.07104i −1.31053 + 0.375788i
\(262\) −0.346907 9.93412i −0.0214320 0.613732i
\(263\) −6.44538 + 5.40832i −0.397439 + 0.333491i −0.819503 0.573075i \(-0.805750\pi\)
0.422063 + 0.906566i \(0.361306\pi\)
\(264\) −1.46623 + 1.66136i −0.0902402 + 0.102250i
\(265\) 27.0473 1.66150
\(266\) 4.37098 + 1.04415i 0.268002 + 0.0640210i
\(267\) 6.55351 4.76140i 0.401068 0.291393i
\(268\) 0.452651 0.928071i 0.0276500 0.0566910i
\(269\) 0.325508 + 0.203400i 0.0198466 + 0.0124015i 0.539806 0.841789i \(-0.318497\pi\)
−0.519960 + 0.854191i \(0.674053\pi\)
\(270\) −5.67410 7.26251i −0.345315 0.441982i
\(271\) −15.7613 23.3671i −0.957431 1.41945i −0.907194 0.420712i \(-0.861780\pi\)
−0.0502364 0.998737i \(-0.515997\pi\)
\(272\) 4.94317 + 0.345660i 0.299724 + 0.0209587i
\(273\) 3.02348 + 3.35792i 0.182989 + 0.203230i
\(274\) −4.87240 8.43925i −0.294352 0.509833i
\(275\) 3.84710 + 0.501690i 0.231989 + 0.0302531i
\(276\) −0.556360 + 3.15528i −0.0334889 + 0.189925i
\(277\) −23.0970 + 4.90943i −1.38777 + 0.294979i −0.840424 0.541930i \(-0.817694\pi\)
−0.547343 + 0.836908i \(0.684361\pi\)
\(278\) −0.643741 6.12479i −0.0386090 0.367340i
\(279\) 0.174490 + 0.699841i 0.0104464 + 0.0418984i
\(280\) −0.0893731 + 2.55931i −0.00534106 + 0.152948i
\(281\) 8.46156 + 10.8303i 0.504774 + 0.646082i 0.971140 0.238510i \(-0.0766591\pi\)
−0.466366 + 0.884592i \(0.654437\pi\)
\(282\) 7.55824 0.528523i 0.450086 0.0314731i
\(283\) 11.7500 + 11.3468i 0.698464 + 0.674498i 0.956532 0.291628i \(-0.0941970\pi\)
−0.258068 + 0.966127i \(0.583086\pi\)
\(284\) −3.09750 + 9.53313i −0.183803 + 0.565687i
\(285\) 5.07592 + 5.15362i 0.300672 + 0.305274i
\(286\) −20.3697 + 7.64437i −1.20449 + 0.452021i
\(287\) −0.909064 5.15556i −0.0536604 0.304323i
\(288\) 0.956610 + 2.36769i 0.0563688 + 0.139518i
\(289\) 4.22436 6.26288i 0.248492 0.368405i
\(290\) 11.9801 + 17.7613i 0.703498 + 1.04298i
\(291\) −2.64879 + 6.55599i −0.155275 + 0.384319i
\(292\) −1.87456 0.398449i −0.109700 0.0233175i
\(293\) 2.17793 20.7216i 0.127236 1.21057i −0.725497 0.688225i \(-0.758390\pi\)
0.852734 0.522346i \(-0.174943\pi\)
\(294\) 1.73883 + 3.56512i 0.101410 + 0.207922i
\(295\) −12.0891 6.42789i −0.703855 0.374246i
\(296\) −1.12296 1.94502i −0.0652708 0.113052i
\(297\) −8.76669 + 8.63612i −0.508695 + 0.501119i
\(298\) −18.1545 15.2335i −1.05166 0.882451i
\(299\) −19.3680 + 24.7900i −1.12008 + 1.43364i
\(300\) −0.437022 + 0.647912i −0.0252315 + 0.0374072i
\(301\) −9.16965 + 0.641204i −0.528530 + 0.0369584i
\(302\) 17.4566 9.28183i 1.00451 0.534109i
\(303\) −0.309338 0.952044i −0.0177710 0.0546935i
\(304\) −2.08422 3.82832i −0.119538 0.219569i
\(305\) −6.78607 + 4.93037i −0.388569 + 0.282312i
\(306\) 12.5307 + 1.76108i 0.716335 + 0.100674i
\(307\) −0.201529 + 0.169103i −0.0115019 + 0.00965123i −0.648520 0.761197i \(-0.724612\pi\)
0.637019 + 0.770848i \(0.280167\pi\)
\(308\) 3.40852 0.272455i 0.194219 0.0155246i
\(309\) −1.12521 0.409542i −0.0640109 0.0232980i
\(310\) 0.594963 0.371774i 0.0337917 0.0211154i
\(311\) 0.409794 + 3.89893i 0.0232373 + 0.221088i 0.999978 + 0.00666331i \(0.00212101\pi\)
−0.976741 + 0.214425i \(0.931212\pi\)
\(312\) 0.458119 4.35871i 0.0259359 0.246763i
\(313\) −8.36318 + 1.17537i −0.472715 + 0.0664357i −0.371508 0.928430i \(-0.621159\pi\)
−0.101207 + 0.994865i \(0.532270\pi\)
\(314\) −20.0382 + 2.81619i −1.13082 + 0.158927i
\(315\) −0.683568 + 6.50372i −0.0385147 + 0.366443i
\(316\) −1.43055 13.6108i −0.0804748 0.765666i
\(317\) 11.6933 7.30676i 0.656759 0.410389i −0.160200 0.987085i \(-0.551214\pi\)
0.816959 + 0.576696i \(0.195658\pi\)
\(318\) 6.83626 + 2.48819i 0.383358 + 0.139531i
\(319\) 21.7297 18.6049i 1.21663 1.04168i
\(320\) 1.90278 1.59662i 0.106369 0.0892538i
\(321\) −2.63623 0.370498i −0.147140 0.0206792i
\(322\) 3.99994 2.90613i 0.222908 0.161952i
\(323\) −21.5926 0.540978i −1.20145 0.0301008i
\(324\) 1.60133 + 4.92837i 0.0889625 + 0.273798i
\(325\) −6.77540 + 3.60254i −0.375832 + 0.199833i
\(326\) 17.8604 1.24892i 0.989198 0.0691715i
\(327\) 2.73737 4.05832i 0.151377 0.224425i
\(328\) −3.12618 + 4.00132i −0.172614 + 0.220936i
\(329\) −8.95662 7.51550i −0.493794 0.414343i
\(330\) 4.88516 + 2.53546i 0.268919 + 0.139572i
\(331\) −5.22215 9.04503i −0.287035 0.497160i 0.686065 0.727540i \(-0.259336\pi\)
−0.973101 + 0.230380i \(0.926003\pi\)
\(332\) −11.2415 5.97721i −0.616957 0.328042i
\(333\) −2.51418 5.15483i −0.137776 0.282483i
\(334\) −1.76496 + 16.7925i −0.0965744 + 0.918844i
\(335\) −2.50876 0.533254i −0.137068 0.0291348i
\(336\) −0.258031 + 0.638648i −0.0140767 + 0.0348411i
\(337\) 2.80849 + 4.16376i 0.152988 + 0.226814i 0.897738 0.440529i \(-0.145209\pi\)
−0.744750 + 0.667343i \(0.767431\pi\)
\(338\) 16.7942 24.8985i 0.913486 1.35430i
\(339\) −0.308765 0.764219i −0.0167698 0.0415067i
\(340\) −2.13732 12.1213i −0.115912 0.657372i
\(341\) −0.584048 0.732407i −0.0316280 0.0396621i
\(342\) −4.62743 10.1236i −0.250223 0.547422i
\(343\) 4.12165 12.6851i 0.222548 0.684933i
\(344\) 6.41347 + 6.19341i 0.345791 + 0.333926i
\(345\) 7.93891 0.555143i 0.427417 0.0298879i
\(346\) −8.10797 10.3777i −0.435887 0.557910i
\(347\) −0.318294 + 9.11475i −0.0170869 + 0.489306i 0.960439 + 0.278490i \(0.0898340\pi\)
−0.977526 + 0.210815i \(0.932388\pi\)
\(348\) 1.39407 + 5.59129i 0.0747298 + 0.299725i
\(349\) −0.352079 3.34981i −0.0188464 0.179311i 0.981049 0.193758i \(-0.0620678\pi\)
−0.999896 + 0.0144472i \(0.995401\pi\)
\(350\) 1.17966 0.250744i 0.0630555 0.0134029i
\(351\) 4.22660 23.9702i 0.225599 1.27944i
\(352\) −2.40859 2.28007i −0.128378 0.121528i
\(353\) 6.11187 + 10.5861i 0.325302 + 0.563440i 0.981573 0.191085i \(-0.0612007\pi\)
−0.656271 + 0.754525i \(0.727867\pi\)
\(354\) −2.46421 2.73679i −0.130972 0.145459i
\(355\) 24.8373 + 1.73679i 1.31823 + 0.0921795i
\(356\) 6.78009 + 10.0519i 0.359344 + 0.532749i
\(357\) 2.10137 + 2.68963i 0.111216 + 0.142350i
\(358\) 1.80379 + 1.12713i 0.0953333 + 0.0595709i
\(359\) −1.03142 + 2.11473i −0.0544365 + 0.111611i −0.924278 0.381720i \(-0.875332\pi\)
0.869842 + 0.493331i \(0.164221\pi\)
\(360\) 5.13159 3.72832i 0.270458 0.196500i
\(361\) 9.82255 + 16.2640i 0.516976 + 0.856000i
\(362\) 20.7557 1.09090
\(363\) 2.61688 6.86742i 0.137351 0.360446i
\(364\) −5.18093 + 4.34732i −0.271555 + 0.227861i
\(365\) 0.166130 + 4.75734i 0.00869563 + 0.249010i
\(366\) −2.16876 + 0.621881i −0.113363 + 0.0325062i
\(367\) −0.724503 2.90582i −0.0378188 0.151683i 0.948418 0.317023i \(-0.102683\pi\)
−0.986237 + 0.165340i \(0.947128\pi\)
\(368\) −4.69081 0.997062i −0.244525 0.0519754i
\(369\) −8.67645 + 9.63617i −0.451678 + 0.501639i
\(370\) −4.01294 + 3.87525i −0.208623 + 0.201465i
\(371\) −4.92136 10.0903i −0.255504 0.523861i
\(372\) 0.184579 0.0392335i 0.00956998 0.00203416i
\(373\) −1.99062 + 3.44785i −0.103070 + 0.178523i −0.912948 0.408076i \(-0.866200\pi\)
0.809878 + 0.586598i \(0.199533\pi\)
\(374\) −15.7522 + 4.68698i −0.814525 + 0.242358i
\(375\) −5.97294 2.17397i −0.308441 0.112263i
\(376\) 0.395782 + 11.3337i 0.0204109 + 0.584492i
\(377\) −13.6880 + 54.8998i −0.704970 + 2.82748i
\(378\) −1.67693 + 3.43822i −0.0862521 + 0.176843i
\(379\) 2.99251 + 9.21000i 0.153715 + 0.473086i 0.998028 0.0627638i \(-0.0199915\pi\)
−0.844314 + 0.535849i \(0.819991\pi\)
\(380\) −7.97428 + 7.32369i −0.409072 + 0.375697i
\(381\) 4.78880 + 3.47927i 0.245338 + 0.178248i
\(382\) −0.0150323 0.0145165i −0.000769120 0.000742730i
\(383\) −10.9398 27.0770i −0.558999 1.38357i −0.896834 0.442367i \(-0.854139\pi\)
0.337835 0.941205i \(-0.390305\pi\)
\(384\) 0.627810 0.228504i 0.0320378 0.0116608i
\(385\) −2.70487 8.05123i −0.137853 0.410329i
\(386\) −13.0785 10.9742i −0.665679 0.558571i
\(387\) 15.2345 + 16.9197i 0.774415 + 0.860075i
\(388\) −9.66852 4.30470i −0.490845 0.218538i
\(389\) −26.0747 + 25.1800i −1.32204 + 1.27668i −0.387024 + 0.922069i \(0.626497\pi\)
−0.935015 + 0.354609i \(0.884614\pi\)
\(390\) −10.7803 + 1.51507i −0.545881 + 0.0767186i
\(391\) −15.9008 + 17.6596i −0.804137 + 0.893085i
\(392\) −5.42378 + 2.41482i −0.273942 + 0.121967i
\(393\) −6.62487 0.463256i −0.334181 0.0233682i
\(394\) −7.66896 + 9.81582i −0.386357 + 0.494514i
\(395\) −31.9440 + 11.6267i −1.60728 + 0.585000i
\(396\) −5.72953 6.23734i −0.287920 0.313438i
\(397\) 0.593928 + 3.36833i 0.0298084 + 0.169052i 0.996078 0.0884815i \(-0.0282014\pi\)
−0.966269 + 0.257533i \(0.917090\pi\)
\(398\) −5.66381 + 17.4314i −0.283901 + 0.873758i
\(399\) 0.999028 2.83135i 0.0500140 0.141745i
\(400\) −0.946361 0.687572i −0.0473181 0.0343786i
\(401\) −15.4491 + 8.21444i −0.771492 + 0.410209i −0.808044 0.589122i \(-0.799474\pi\)
0.0365521 + 0.999332i \(0.488363\pi\)
\(402\) −0.585038 0.365573i −0.0291791 0.0182331i
\(403\) 1.78106 + 0.510710i 0.0887208 + 0.0254403i
\(404\) 1.44029 0.412996i 0.0716571 0.0205473i
\(405\) 10.9157 6.82089i 0.542406 0.338933i
\(406\) 4.44620 7.70104i 0.220661 0.382196i
\(407\) 5.75353 + 4.73103i 0.285192 + 0.234508i
\(408\) 0.574880 3.26031i 0.0284608 0.161409i
\(409\) 8.95863 + 4.76339i 0.442976 + 0.235534i 0.675948 0.736949i \(-0.263734\pi\)
−0.232973 + 0.972483i \(0.574845\pi\)
\(410\) 11.5222 + 5.13002i 0.569042 + 0.253354i
\(411\) −5.94766 + 2.64807i −0.293376 + 0.130619i
\(412\) 0.671398 1.66177i 0.0330774 0.0818694i
\(413\) −0.198334 + 5.67954i −0.00975938 + 0.279472i
\(414\) −11.7718 3.37552i −0.578554 0.165898i
\(415\) −7.65066 + 30.6851i −0.375556 + 1.50627i
\(416\) 6.49611 + 0.912969i 0.318498 + 0.0447620i
\(417\) −4.11452 −0.201489
\(418\) 10.9330 + 9.45881i 0.534751 + 0.462645i
\(419\) 10.4393 0.509995 0.254998 0.966942i \(-0.417925\pi\)
0.254998 + 0.966942i \(0.417925\pi\)
\(420\) 1.69427 + 0.238114i 0.0826720 + 0.0116188i
\(421\) 0.121547 0.487497i 0.00592383 0.0237592i −0.967261 0.253783i \(-0.918325\pi\)
0.973185 + 0.230024i \(0.0738805\pi\)
\(422\) 26.4041 + 7.57125i 1.28533 + 0.368563i
\(423\) −1.01069 + 28.9422i −0.0491412 + 1.40722i
\(424\) −4.07911 + 10.0962i −0.198099 + 0.490312i
\(425\) −5.29534 + 2.35764i −0.256862 + 0.114362i
\(426\) 6.11790 + 2.72386i 0.296413 + 0.131972i
\(427\) 3.07407 + 1.63451i 0.148765 + 0.0790997i
\(428\) 0.691924 3.92410i 0.0334454 0.189678i
\(429\) 3.65670 + 14.0684i 0.176547 + 0.679227i
\(430\) 11.0729 19.1789i 0.533985 0.924889i
\(431\) −28.0865 + 17.5504i −1.35288 + 0.845373i −0.996050 0.0887960i \(-0.971698\pi\)
−0.356830 + 0.934169i \(0.616143\pi\)
\(432\) 3.56666 1.02272i 0.171601 0.0492058i
\(433\) 15.9018 + 4.55977i 0.764192 + 0.219128i 0.635022 0.772494i \(-0.280991\pi\)
0.129170 + 0.991623i \(0.458769\pi\)
\(434\) −0.246950 0.154311i −0.0118540 0.00740719i
\(435\) 12.6380 6.71973i 0.605945 0.322186i
\(436\) 5.92771 + 4.30673i 0.283886 + 0.206255i
\(437\) 20.6208 + 3.42675i 0.986424 + 0.163924i
\(438\) −0.395657 + 1.21771i −0.0189052 + 0.0581843i
\(439\) 0.801995 + 4.54834i 0.0382771 + 0.217080i 0.997947 0.0640501i \(-0.0204017\pi\)
−0.959670 + 0.281130i \(0.909291\pi\)
\(440\) −4.04789 + 7.17510i −0.192976 + 0.342059i
\(441\) −14.2468 + 5.18541i −0.678419 + 0.246924i
\(442\) 20.0128 25.6152i 0.951911 1.21839i
\(443\) −2.95399 0.206563i −0.140348 0.00981411i −0.000590465 1.00000i \(-0.500188\pi\)
−0.139758 + 0.990186i \(0.544632\pi\)
\(444\) −1.37078 + 0.610310i −0.0650543 + 0.0289640i
\(445\) 20.1520 22.3811i 0.955298 1.06097i
\(446\) 6.46529 0.908637i 0.306140 0.0430252i
\(447\) −11.3896 + 10.9988i −0.538709 + 0.520225i
\(448\) −0.941853 0.419340i −0.0444984 0.0198120i
\(449\) −12.0364 13.3678i −0.568034 0.630866i 0.388862 0.921296i \(-0.372868\pi\)
−0.956896 + 0.290430i \(0.906202\pi\)
\(450\) −2.28830 1.92011i −0.107871 0.0905149i
\(451\) 5.04452 16.0677i 0.237537 0.756600i
\(452\) 1.15930 0.421950i 0.0545288 0.0198469i
\(453\) −4.94814 12.2471i −0.232484 0.575418i
\(454\) 1.33896 + 1.29302i 0.0628405 + 0.0606843i
\(455\) 13.5908 + 9.87431i 0.637148 + 0.462915i
\(456\) −2.68925 + 1.11749i −0.125936 + 0.0523312i
\(457\) −6.73441 20.7264i −0.315023 0.969540i −0.975745 0.218910i \(-0.929750\pi\)
0.660723 0.750630i \(-0.270250\pi\)
\(458\) −2.93153 + 6.01053i −0.136981 + 0.280854i
\(459\) 4.44795 17.8398i 0.207613 0.832689i
\(460\) 0.415716 + 11.9045i 0.0193829 + 0.555052i
\(461\) −28.1845 10.2583i −1.31268 0.477777i −0.411576 0.911376i \(-0.635021\pi\)
−0.901106 + 0.433598i \(0.857244\pi\)
\(462\) 0.0570057 2.28379i 0.00265215 0.106252i
\(463\) 1.51929 2.63149i 0.0706074 0.122296i −0.828560 0.559900i \(-0.810840\pi\)
0.899168 + 0.437604i \(0.144173\pi\)
\(464\) −8.43665 + 1.79327i −0.391662 + 0.0832502i
\(465\) −0.205473 0.421282i −0.00952857 0.0195365i
\(466\) 17.1253 16.5378i 0.793316 0.766097i
\(467\) −16.5291 + 18.3574i −0.764874 + 0.849479i −0.992241 0.124331i \(-0.960322\pi\)
0.227367 + 0.973809i \(0.426988\pi\)
\(468\) 16.3857 + 3.48289i 0.757429 + 0.160996i
\(469\) 0.257543 + 1.03295i 0.0118922 + 0.0476971i
\(470\) 27.0778 7.76443i 1.24900 0.358146i
\(471\) 0.471811 + 13.5109i 0.0217399 + 0.622550i
\(472\) 4.22259 3.54317i 0.194360 0.163088i
\(473\) −27.1321 11.7579i −1.24754 0.540629i
\(474\) −9.14347 −0.419974
\(475\) 4.25508 + 2.80946i 0.195236 + 0.128907i
\(476\) −4.13309 + 3.00287i −0.189440 + 0.137636i
\(477\) −12.1897 + 24.9925i −0.558126 + 1.14433i
\(478\) −9.75430 6.09516i −0.446151 0.278786i
\(479\) −5.77448 7.39099i −0.263843 0.337703i 0.637787 0.770213i \(-0.279850\pi\)
−0.901629 + 0.432510i \(0.857628\pi\)
\(480\) −0.927980 1.37579i −0.0423563 0.0627958i
\(481\) −14.6972 1.02773i −0.670137 0.0468605i
\(482\) 1.14551 + 1.27222i 0.0521765 + 0.0579479i
\(483\) −1.65162 2.86068i −0.0751511 0.130166i
\(484\) 10.1360 + 4.27324i 0.460729 + 0.194238i
\(485\) −4.56493 + 25.8890i −0.207283 + 1.17556i
\(486\) 14.2744 3.03412i 0.647500 0.137630i
\(487\) 0.402445 + 3.82901i 0.0182365 + 0.173509i 0.999849 0.0173755i \(-0.00553109\pi\)
−0.981613 + 0.190884i \(0.938864\pi\)
\(488\) −0.816961 3.27665i −0.0369821 0.148327i
\(489\) 0.417458 11.9544i 0.0188781 0.540599i
\(490\) 9.07921 + 11.6209i 0.410157 + 0.524977i
\(491\) −7.02143 + 0.490986i −0.316873 + 0.0221579i −0.227307 0.973823i \(-0.572992\pi\)
−0.0895654 + 0.995981i \(0.528548\pi\)
\(492\) 2.44033 + 2.35660i 0.110018 + 0.106244i
\(493\) −13.2073 + 40.6478i −0.594825 + 1.83068i
\(494\) −28.4656 2.70843i −1.28073 0.121858i
\(495\) −11.5898 + 17.5569i −0.520922 + 0.789125i
\(496\) 0.0490462 + 0.278155i 0.00220224 + 0.0124895i
\(497\) −3.87131 9.58183i −0.173652 0.429804i
\(498\) −4.75657 + 7.05190i −0.213147 + 0.316003i
\(499\) −12.7099 18.8432i −0.568975 0.843540i 0.429245 0.903188i \(-0.358780\pi\)
−0.998219 + 0.0596486i \(0.981002\pi\)
\(500\) 3.56398 8.82116i 0.159386 0.394494i
\(501\) 11.0344 + 2.34543i 0.492980 + 0.104786i
\(502\) 0.159077 1.51352i 0.00709996 0.0675517i
\(503\) −7.76113 15.9127i −0.346052 0.709511i 0.652794 0.757535i \(-0.273597\pi\)
−0.998846 + 0.0480239i \(0.984708\pi\)
\(504\) −2.32460 1.23601i −0.103546 0.0550563i
\(505\) −1.86085 3.22310i −0.0828070 0.143426i
\(506\) 15.7276 2.37019i 0.699178 0.105368i
\(507\) −15.3708 12.8976i −0.682639 0.572802i
\(508\) −5.45467 + 6.98166i −0.242012 + 0.309761i
\(509\) 9.87295 14.6372i 0.437611 0.648785i −0.544132 0.839000i \(-0.683141\pi\)
0.981742 + 0.190215i \(0.0609186\pi\)
\(510\) −8.20318 + 0.573622i −0.363243 + 0.0254004i
\(511\) 1.74454 0.927591i 0.0771741 0.0410342i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) −15.3317 + 5.14919i −0.676909 + 0.227342i
\(514\) −1.69219 + 1.22945i −0.0746394 + 0.0542287i
\(515\) −4.40851 0.619575i −0.194262 0.0273018i
\(516\) 4.56305 3.82885i 0.200877 0.168556i
\(517\) −14.4362 34.7319i −0.634905 1.52751i
\(518\) 2.17587 + 0.791953i 0.0956024 + 0.0347964i
\(519\) −7.46163 + 4.66254i −0.327529 + 0.204663i
\(520\) −1.70322 16.2050i −0.0746909 0.710637i
\(521\) 3.26773 31.0904i 0.143162 1.36209i −0.653160 0.757220i \(-0.726557\pi\)
0.796321 0.604874i \(-0.206776\pi\)
\(522\) −21.8111 + 3.06535i −0.954647 + 0.134167i
\(523\) 28.4612 3.99996i 1.24452 0.174906i 0.513996 0.857792i \(-0.328165\pi\)
0.730525 + 0.682886i \(0.239276\pi\)
\(524\) 1.03903 9.88573i 0.0453903 0.431860i
\(525\) −0.0842228 0.801326i −0.00367578 0.0349727i
\(526\) −7.13535 + 4.45866i −0.311116 + 0.194407i
\(527\) 1.31518 + 0.478687i 0.0572902 + 0.0208519i
\(528\) −1.68318 + 1.44114i −0.0732509 + 0.0627174i
\(529\) −0.00168731 + 0.00141582i −7.33614e−5 + 6.15575e-5i
\(530\) 26.7841 + 3.76426i 1.16343 + 0.163509i
\(531\) 11.3879 8.27377i 0.494191 0.359051i
\(532\) 4.18313 + 1.64231i 0.181362 + 0.0712033i
\(533\) 10.2933 + 31.6795i 0.445852 + 1.37219i
\(534\) 7.15239 3.80299i 0.309514 0.164572i
\(535\) −9.87333 + 0.690410i −0.426861 + 0.0298490i
\(536\) 0.577408 0.856043i 0.0249402 0.0369754i
\(537\) 0.874884 1.11980i 0.0377540 0.0483229i
\(538\) 0.294033 + 0.246723i 0.0126767 + 0.0106370i
\(539\) 14.0277 13.8188i 0.604217 0.595218i
\(540\) −4.60813 7.98152i −0.198302 0.343470i
\(541\) −12.8129 6.81272i −0.550868 0.292902i 0.170610 0.985339i \(-0.445426\pi\)
−0.721479 + 0.692437i \(0.756537\pi\)
\(542\) −12.3558 25.3332i −0.530729 1.08816i
\(543\) 1.44949 13.7910i 0.0622035 0.591826i
\(544\) 4.84696 + 1.03025i 0.207811 + 0.0441717i
\(545\) 6.81772 16.8744i 0.292039 0.722822i
\(546\) 2.52673 + 3.74603i 0.108134 + 0.160315i
\(547\) −14.0823 + 20.8778i −0.602114 + 0.892670i −0.999690 0.0248987i \(-0.992074\pi\)
0.397576 + 0.917569i \(0.369851\pi\)
\(548\) −3.65047 9.03522i −0.155940 0.385966i
\(549\) −1.49746 8.49254i −0.0639102 0.362453i
\(550\) 3.73984 + 1.03222i 0.159467 + 0.0440141i
\(551\) 36.3879 9.45448i 1.55018 0.402774i
\(552\) −0.990075 + 3.04714i −0.0421404 + 0.129695i
\(553\) 10.1498 + 9.80151i 0.431612 + 0.416803i
\(554\) −23.5555 + 1.64716i −1.00078 + 0.0699812i
\(555\) 2.29463 + 2.93700i 0.0974018 + 0.124669i
\(556\) 0.214929 6.15477i 0.00911504 0.261021i
\(557\) −5.20460 20.8745i −0.220526 0.884481i −0.973916 0.226908i \(-0.927138\pi\)
0.753390 0.657574i \(-0.228417\pi\)
\(558\) 0.0753928 + 0.717314i 0.00319163 + 0.0303663i
\(559\) 57.2089 12.1601i 2.41968 0.514319i
\(560\) −0.444690 + 2.52196i −0.0187916 + 0.106572i
\(561\) 2.01417 + 10.7937i 0.0850382 + 0.455711i
\(562\) 6.87193 + 11.9025i 0.289875 + 0.502078i
\(563\) 22.2563 + 24.7181i 0.937992 + 1.04175i 0.999049 + 0.0436112i \(0.0138863\pi\)
−0.0610567 + 0.998134i \(0.519447\pi\)
\(564\) 7.55824 + 0.528523i 0.318259 + 0.0222548i
\(565\) −1.71358 2.54049i −0.0720910 0.106879i
\(566\) 10.0565 + 12.8717i 0.422704 + 0.541037i
\(567\) −4.53076 2.83113i −0.190274 0.118896i
\(568\) −4.39411 + 9.00927i −0.184373 + 0.378021i
\(569\) −1.59851 + 1.16138i −0.0670130 + 0.0486878i −0.620787 0.783979i \(-0.713187\pi\)
0.553774 + 0.832667i \(0.313187\pi\)
\(570\) 4.30928 + 5.80990i 0.180496 + 0.243350i
\(571\) 44.1325 1.84689 0.923444 0.383733i \(-0.125362\pi\)
0.923444 + 0.383733i \(0.125362\pi\)
\(572\) −21.2354 + 4.73505i −0.887897 + 0.197983i
\(573\) −0.0106952 + 0.00897432i −0.000446798 + 0.000374908i
\(574\) −0.182702 5.23190i −0.00762584 0.218375i
\(575\) 5.39242 1.54625i 0.224880 0.0644832i
\(576\) 0.617781 + 2.47779i 0.0257409 + 0.103241i
\(577\) −28.4164 6.04008i −1.18299 0.251452i −0.425904 0.904769i \(-0.640044\pi\)
−0.757085 + 0.653317i \(0.773377\pi\)
\(578\) 5.05488 5.61401i 0.210255 0.233512i
\(579\) −8.20505 + 7.92352i −0.340990 + 0.329290i
\(580\) 9.39165 + 19.2557i 0.389967 + 0.799551i
\(581\) 12.8395 2.72911i 0.532671 0.113223i
\(582\) −3.53543 + 6.12355i −0.146548 + 0.253829i
\(583\) 0.901182 36.1036i 0.0373232 1.49526i
\(584\) −1.80086 0.655459i −0.0745201 0.0271231i
\(585\) −1.45216 41.5844i −0.0600394 1.71930i
\(586\) 5.04063 20.2169i 0.208227 0.835151i
\(587\) −0.893073 + 1.83107i −0.0368611 + 0.0755764i −0.916430 0.400195i \(-0.868942\pi\)
0.879569 + 0.475772i \(0.157831\pi\)
\(588\) 1.22574 + 3.77243i 0.0505485 + 0.155572i
\(589\) −0.267830 1.20167i −0.0110357 0.0495139i
\(590\) −11.0769 8.04782i −0.456027 0.331323i
\(591\) 5.98648 + 5.78107i 0.246251 + 0.237802i
\(592\) −0.841337 2.08238i −0.0345787 0.0855854i
\(593\) 23.2548 8.46407i 0.954961 0.347578i 0.182904 0.983131i \(-0.441450\pi\)
0.772057 + 0.635553i \(0.219228\pi\)
\(594\) −9.88329 + 7.33199i −0.405516 + 0.300835i
\(595\) 9.72089 + 8.15680i 0.398518 + 0.334396i
\(596\) −15.8578 17.6118i −0.649560 0.721409i
\(597\) 11.1866 + 4.98061i 0.457838 + 0.203843i
\(598\) −22.6297 + 21.8532i −0.925395 + 0.893644i
\(599\) 35.9597 5.05380i 1.46927 0.206493i 0.641312 0.767280i \(-0.278390\pi\)
0.827960 + 0.560787i \(0.189502\pi\)
\(600\) −0.522941 + 0.580785i −0.0213490 + 0.0237104i
\(601\) −1.49290 + 0.664682i −0.0608967 + 0.0271129i −0.436959 0.899481i \(-0.643945\pi\)
0.376062 + 0.926594i \(0.377278\pi\)
\(602\) −9.16965 0.641204i −0.373727 0.0261335i
\(603\) 1.62339 2.07784i 0.0661095 0.0846164i
\(604\) 18.5785 6.76201i 0.755947 0.275142i
\(605\) 4.20816 26.9969i 0.171086 1.09758i
\(606\) −0.173829 0.985831i −0.00706130 0.0400466i
\(607\) −4.19657 + 12.9157i −0.170334 + 0.524233i −0.999390 0.0349324i \(-0.988878\pi\)
0.829056 + 0.559166i \(0.188878\pi\)
\(608\) −1.53114 4.08113i −0.0620958 0.165512i
\(609\) −4.80639 3.49205i −0.194765 0.141505i
\(610\) −7.40620 + 3.93795i −0.299868 + 0.159443i
\(611\) 63.0897 + 39.4228i 2.55233 + 1.59488i
\(612\) 12.1637 + 3.48789i 0.491689 + 0.140989i
\(613\) 9.64959 2.76697i 0.389743 0.111757i −0.0750424 0.997180i \(-0.523909\pi\)
0.464786 + 0.885423i \(0.346131\pi\)
\(614\) −0.223103 + 0.139410i −0.00900369 + 0.00562613i
\(615\) 4.21326 7.29758i 0.169895 0.294267i
\(616\) 3.41327 + 0.204571i 0.137525 + 0.00824240i
\(617\) 1.03677 5.87983i 0.0417389 0.236713i −0.956800 0.290746i \(-0.906097\pi\)
0.998539 + 0.0540330i \(0.0172076\pi\)
\(618\) −1.05726 0.562155i −0.0425293 0.0226132i
\(619\) −11.8853 5.29169i −0.477712 0.212691i 0.153732 0.988113i \(-0.450871\pi\)
−0.631444 + 0.775421i \(0.717537\pi\)
\(620\) 0.640914 0.285353i 0.0257397 0.0114601i
\(621\) −6.66559 + 16.4979i −0.267481 + 0.662039i
\(622\) −0.136820 + 3.91802i −0.00548599 + 0.157098i
\(623\) −12.0162 3.44560i −0.481420 0.138045i
\(624\) 1.06028 4.25253i 0.0424450 0.170237i
\(625\) −29.1936 4.10289i −1.16774 0.164116i
\(626\) −8.44537 −0.337545
\(627\) 7.04834 6.60379i 0.281484 0.263730i
\(628\) −20.2352 −0.807471
\(629\) −11.0208 1.54887i −0.439427 0.0617574i
\(630\) −1.58206 + 6.34529i −0.0630307 + 0.252802i
\(631\) −10.7730 3.08910i −0.428865 0.122975i 0.0542591 0.998527i \(-0.482720\pi\)
−0.483124 + 0.875552i \(0.660498\pi\)
\(632\) 0.477626 13.6774i 0.0189989 0.544058i
\(633\) 6.87460 17.0152i 0.273241 0.676295i
\(634\) 12.5964 5.60827i 0.500266 0.222733i
\(635\) 20.1044 + 8.95105i 0.797818 + 0.355212i
\(636\) 6.42344 + 3.41540i 0.254706 + 0.135430i
\(637\) −6.76305 + 38.3552i −0.267962 + 1.51969i
\(638\) 24.1075 15.3997i 0.954425 0.609679i
\(639\) −12.7985 + 22.1677i −0.506301 + 0.876939i
\(640\) 2.10647 1.31627i 0.0832655 0.0520300i
\(641\) 31.0358 8.89937i 1.22584 0.351504i 0.400583 0.916261i \(-0.368808\pi\)
0.825258 + 0.564756i \(0.191030\pi\)
\(642\) −2.55901 0.733785i −0.100996 0.0289602i
\(643\) −5.98622 3.74061i −0.236074 0.147515i 0.406724 0.913551i \(-0.366671\pi\)
−0.642798 + 0.766036i \(0.722227\pi\)
\(644\) 4.36547 2.32116i 0.172024 0.0914666i
\(645\) −11.9700 8.69670i −0.471317 0.342432i
\(646\) −21.3072 3.54082i −0.838320 0.139312i
\(647\) 3.98331 12.2594i 0.156600 0.481965i −0.841719 0.539915i \(-0.818456\pi\)
0.998319 + 0.0579498i \(0.0184563\pi\)
\(648\) 0.899844 + 5.10327i 0.0353492 + 0.200475i
\(649\) −8.98295 + 15.9228i −0.352612 + 0.625023i
\(650\) −7.21084 + 2.62453i −0.282832 + 0.102943i
\(651\) −0.119777 + 0.153307i −0.00469443 + 0.00600859i
\(652\) 17.8604 + 1.24892i 0.699469 + 0.0489116i
\(653\) 34.8624 15.5217i 1.36427 0.607412i 0.411585 0.911371i \(-0.364975\pi\)
0.952685 + 0.303959i \(0.0983087\pi\)
\(654\) 3.27554 3.63785i 0.128084 0.142251i
\(655\) −24.4501 + 3.43624i −0.955346 + 0.134265i
\(656\) −3.65263 + 3.52730i −0.142611 + 0.137718i
\(657\) −4.47079 1.99052i −0.174422 0.0776577i
\(658\) −7.82350 8.68888i −0.304992 0.338728i
\(659\) 5.62878 + 4.72311i 0.219266 + 0.183986i 0.745804 0.666166i \(-0.232066\pi\)
−0.526538 + 0.850152i \(0.676510\pi\)
\(660\) 4.48475 + 3.19066i 0.174569 + 0.124196i
\(661\) −0.0782404 + 0.0284772i −0.00304320 + 0.00110763i −0.343541 0.939138i \(-0.611627\pi\)
0.340498 + 0.940245i \(0.389404\pi\)
\(662\) −3.91251 9.68379i −0.152064 0.376371i
\(663\) −15.6222 15.0862i −0.606716 0.585899i
\(664\) −10.3002 7.48356i −0.399726 0.290418i
\(665\) 1.44449 11.0687i 0.0560148 0.429226i
\(666\) −1.77230 5.45457i −0.0686751 0.211360i
\(667\) 18.1322 37.1765i 0.702082 1.43948i
\(668\) −4.08485 + 16.3834i −0.158048 + 0.633894i
\(669\) −0.152229 4.35926i −0.00588551 0.168539i
\(670\) −2.41014 0.877217i −0.0931116 0.0338899i
\(671\) 6.35511 + 9.22254i 0.245336 + 0.356032i
\(672\) −0.344402 + 0.596522i −0.0132856 + 0.0230113i
\(673\) −35.9661 + 7.64482i −1.38639 + 0.294686i −0.839883 0.542768i \(-0.817376\pi\)
−0.546507 + 0.837454i \(0.684043\pi\)
\(674\) 2.20168 + 4.51411i 0.0848054 + 0.173877i
\(675\) −3.12215 + 3.01502i −0.120172 + 0.116048i
\(676\) 20.0960 22.3189i 0.772923 0.858418i
\(677\) −5.80999 1.23495i −0.223296 0.0474630i 0.0949049 0.995486i \(-0.469745\pi\)
−0.318201 + 0.948023i \(0.603079\pi\)
\(678\) −0.199401 0.799753i −0.00765795 0.0307143i
\(679\) 10.4888 3.00761i 0.402522 0.115421i
\(680\) −0.429554 12.3008i −0.0164727 0.471715i
\(681\) 0.952642 0.799362i 0.0365053 0.0306316i
\(682\) −0.476433 0.806564i −0.0182436 0.0308849i
\(683\) 26.7153 1.02223 0.511115 0.859512i \(-0.329232\pi\)
0.511115 + 0.859512i \(0.329232\pi\)
\(684\) −3.17346 10.6691i −0.121340 0.407943i
\(685\) −19.5824 + 14.2274i −0.748203 + 0.543602i
\(686\) 5.84697 11.9881i 0.223238 0.457706i
\(687\) 3.78892 + 2.36758i 0.144556 + 0.0903288i
\(688\) 5.48909 + 7.02572i 0.209270 + 0.267853i
\(689\) 39.9441 + 59.2195i 1.52175 + 2.25608i
\(690\) 7.93891 + 0.555143i 0.302229 + 0.0211339i
\(691\) −2.12865 2.36411i −0.0809778 0.0899349i 0.701294 0.712872i \(-0.252606\pi\)
−0.782272 + 0.622937i \(0.785939\pi\)
\(692\) −6.58477 11.4051i −0.250315 0.433559i
\(693\) 8.65859 + 1.12914i 0.328913 + 0.0428926i
\(694\) −1.58372 + 8.98175i −0.0601174 + 0.340943i
\(695\) −14.9629 + 3.18046i −0.567575 + 0.120642i
\(696\) 0.602342 + 5.73090i 0.0228317 + 0.217229i
\(697\) 6.08711 + 24.4141i 0.230566 + 0.924749i
\(698\) 0.117551 3.36621i 0.00444936 0.127413i
\(699\) −9.79242 12.5337i −0.370383 0.474069i
\(700\) 1.20308 0.0841273i 0.0454720 0.00317971i
\(701\) −17.9981 17.3805i −0.679778 0.656454i 0.272335 0.962203i \(-0.412204\pi\)
−0.952112 + 0.305749i \(0.901093\pi\)
\(702\) 7.52148 23.1487i 0.283880 0.873693i
\(703\) 4.06982 + 8.90369i 0.153496 + 0.335809i
\(704\) −2.06782 2.59309i −0.0779340 0.0977307i
\(705\) −3.26802 18.5338i −0.123081 0.698025i
\(706\) 4.57909 + 11.3337i 0.172336 + 0.426548i
\(707\) −0.863819 + 1.28066i −0.0324873 + 0.0481644i
\(708\) −2.05935 3.05311i −0.0773950 0.114743i
\(709\) 10.5039 25.9980i 0.394481 0.976374i −0.591013 0.806662i \(-0.701272\pi\)
0.985494 0.169712i \(-0.0542837\pi\)
\(710\) 24.3539 + 5.17658i 0.913985 + 0.194273i
\(711\) 3.65311 34.7570i 0.137002 1.30349i
\(712\) 5.31515 + 10.8977i 0.199194 + 0.408408i
\(713\) −1.19595 0.635899i −0.0447887 0.0238146i
\(714\) 1.70659 + 2.95591i 0.0638677 + 0.110622i
\(715\) 24.1726 + 48.3345i 0.904004 + 1.80761i
\(716\) 1.62937 + 1.36720i 0.0608924 + 0.0510948i
\(717\) −4.73108 + 6.05551i −0.176685 + 0.226147i
\(718\) −1.31570 + 1.95061i −0.0491015 + 0.0727960i
\(719\) −23.7256 + 1.65905i −0.884814 + 0.0618722i −0.504928 0.863161i \(-0.668481\pi\)
−0.379886 + 0.925033i \(0.624037\pi\)
\(720\) 5.60053 2.97785i 0.208719 0.110978i
\(721\) 0.571005 + 1.75737i 0.0212653 + 0.0654480i
\(722\) 7.46345 + 17.4727i 0.277761 + 0.650268i
\(723\) 0.925312 0.672278i 0.0344127 0.0250023i
\(724\) 20.5537 + 2.88863i 0.763872 + 0.107355i
\(725\) 7.72892 6.48533i 0.287045 0.240859i
\(726\) 3.54718 6.43639i 0.131648 0.238877i
\(727\) 12.2512 + 4.45909i 0.454373 + 0.165378i 0.559061 0.829127i \(-0.311162\pi\)
−0.104687 + 0.994505i \(0.533384\pi\)
\(728\) −5.73554 + 3.58396i −0.212573 + 0.132831i
\(729\) 0.605866 + 5.76443i 0.0224395 + 0.213498i
\(730\) −0.497580 + 4.73416i −0.0184163 + 0.175219i
\(731\) 43.7498 6.14863i 1.61814 0.227415i
\(732\) −2.23420 + 0.313996i −0.0825783 + 0.0116056i
\(733\) 2.99274 28.4740i 0.110539 1.05171i −0.788857 0.614577i \(-0.789327\pi\)
0.899396 0.437135i \(-0.144007\pi\)
\(734\) −0.313040 2.97838i −0.0115545 0.109934i
\(735\) 8.35544 5.22106i 0.308195 0.192582i
\(736\) −4.50639 1.64019i −0.166108 0.0604583i
\(737\) −0.795394 + 3.33101i −0.0292987 + 0.122699i
\(738\) −9.93310 + 8.33486i −0.365643 + 0.306811i
\(739\) −5.91843 0.831781i −0.217713 0.0305975i 0.0294733 0.999566i \(-0.490617\pi\)
−0.247186 + 0.968968i \(0.579506\pi\)
\(740\) −4.51322 + 3.27905i −0.165909 + 0.120540i
\(741\) −3.78751 + 18.7246i −0.139138 + 0.687865i
\(742\) −3.46917 10.6770i −0.127357 0.391965i
\(743\) 0.559989 0.297752i 0.0205440 0.0109234i −0.459168 0.888350i \(-0.651852\pi\)
0.479712 + 0.877426i \(0.340741\pi\)
\(744\) 0.188243 0.0131632i 0.00690132 0.000482588i
\(745\) −32.9175 + 48.8023i −1.20601 + 1.78798i
\(746\) −2.45109 + 3.13725i −0.0897408 + 0.114863i
\(747\) −24.9059 20.8986i −0.911261 0.764638i
\(748\) −16.2512 + 2.44909i −0.594201 + 0.0895478i
\(749\) 2.05405 + 3.55772i 0.0750534 + 0.129996i
\(750\) −5.61225 2.98409i −0.204930 0.108963i
\(751\) −17.7610 36.4154i −0.648108 1.32882i −0.929356 0.369184i \(-0.879637\pi\)
0.281248 0.959635i \(-0.409252\pi\)
\(752\) −1.18542 + 11.2785i −0.0432278 + 0.411285i
\(753\) −0.994536 0.211395i −0.0362429 0.00770367i
\(754\) −21.1954 + 52.4605i −0.771891 + 1.91050i
\(755\) −27.4612 40.7130i −0.999417 1.48170i
\(756\) −2.13912 + 3.17138i −0.0777990 + 0.115342i
\(757\) 12.9933 + 32.1594i 0.472248 + 1.16885i 0.955926 + 0.293608i \(0.0948562\pi\)
−0.483678 + 0.875246i \(0.660699\pi\)
\(758\) 1.68160 + 9.53684i 0.0610785 + 0.346394i
\(759\) −0.476508 10.6156i −0.0172961 0.385322i
\(760\) −8.91593 + 6.14261i −0.323415 + 0.222816i
\(761\) 12.6247 38.8550i 0.457647 1.40849i −0.410353 0.911927i \(-0.634595\pi\)
0.868000 0.496565i \(-0.165405\pi\)
\(762\) 4.25798 + 4.11188i 0.154250 + 0.148958i
\(763\) −7.53569 + 0.526947i −0.272810 + 0.0190768i
\(764\) −0.0128657 0.0164673i −0.000465465 0.000595768i
\(765\) 1.09693 31.4119i 0.0396595 1.13570i
\(766\) −7.06497 28.3361i −0.255268 1.02382i
\(767\) −3.77973 35.9617i −0.136478 1.29850i
\(768\) 0.653502 0.138906i 0.0235812 0.00501234i
\(769\) 2.88727 16.3745i 0.104118 0.590481i −0.887451 0.460901i \(-0.847526\pi\)
0.991569 0.129579i \(-0.0413627\pi\)
\(770\) −1.55803 8.34932i −0.0561475 0.300889i