Properties

Label 819.2.dk.a.43.21
Level $819$
Weight $2$
Character 819.43
Analytic conductor $6.540$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.dk (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(84\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 43.21
Character \(\chi\) \(=\) 819.43
Dual form 819.2.dk.a.400.21

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.46243 + 0.844334i) q^{2} +(-1.54593 - 0.781091i) q^{3} +(0.425801 - 0.737510i) q^{4} +(-1.72850 + 0.997952i) q^{5} +(2.92032 - 0.162991i) q^{6} +1.00000i q^{7} -1.93926i q^{8} +(1.77979 + 2.41502i) q^{9} +O(q^{10})\) \(q+(-1.46243 + 0.844334i) q^{2} +(-1.54593 - 0.781091i) q^{3} +(0.425801 - 0.737510i) q^{4} +(-1.72850 + 0.997952i) q^{5} +(2.92032 - 0.162991i) q^{6} +1.00000i q^{7} -1.93926i q^{8} +(1.77979 + 2.41502i) q^{9} +(1.68521 - 2.91887i) q^{10} +(-2.41437 + 1.39394i) q^{11} +(-1.23432 + 0.807548i) q^{12} +(2.53374 + 2.56518i) q^{13} +(-0.844334 - 1.46243i) q^{14} +(3.45163 - 0.192645i) q^{15} +(2.48899 + 4.31106i) q^{16} +(1.71694 + 2.97383i) q^{17} +(-4.64191 - 2.02906i) q^{18} +(2.55074 - 1.47267i) q^{19} +1.69972i q^{20} +(0.781091 - 1.54593i) q^{21} +(2.35390 - 4.07708i) q^{22} -0.868177 q^{23} +(-1.51474 + 2.99796i) q^{24} +(-0.508185 + 0.880202i) q^{25} +(-5.87129 - 1.61208i) q^{26} +(-0.865086 - 5.12363i) q^{27} +(0.737510 + 0.425801i) q^{28} +(1.23510 + 2.13925i) q^{29} +(-4.88512 + 3.19606i) q^{30} +(-5.38232 + 3.10748i) q^{31} +(-3.92104 - 2.26382i) q^{32} +(4.82124 - 0.269087i) q^{33} +(-5.02182 - 2.89935i) q^{34} +(-0.997952 - 1.72850i) q^{35} +(2.53894 - 0.284296i) q^{36} +(5.93039 + 3.42391i) q^{37} +(-2.48685 + 4.30735i) q^{38} +(-1.91334 - 5.94467i) q^{39} +(1.93529 + 3.35202i) q^{40} -2.25951i q^{41} +(0.162991 + 2.92032i) q^{42} +2.62202 q^{43} +2.37416i q^{44} +(-5.48646 - 2.39822i) q^{45} +(1.26965 - 0.733032i) q^{46} +(-4.45571 - 2.57250i) q^{47} +(-0.480476 - 8.60871i) q^{48} -1.00000 q^{49} -1.71631i q^{50} +(-0.331440 - 5.93843i) q^{51} +(2.97072 - 0.776399i) q^{52} -5.32084 q^{53} +(5.59119 + 6.76253i) q^{54} +(2.78217 - 4.81885i) q^{55} +1.93926 q^{56} +(-5.09355 + 0.284285i) q^{57} +(-3.61248 - 2.08567i) q^{58} +(-10.8539 - 6.26651i) q^{59} +(1.32763 - 2.62764i) q^{60} -6.66360 q^{61} +(5.24751 - 9.08896i) q^{62} +(-2.41502 + 1.77979i) q^{63} -2.31029 q^{64} +(-6.93951 - 1.90538i) q^{65} +(-6.82353 + 4.46426i) q^{66} -2.09482i q^{67} +2.92431 q^{68} +(1.34214 + 0.678125i) q^{69} +(2.91887 + 1.68521i) q^{70} +(-8.10653 + 4.68031i) q^{71} +(4.68336 - 3.45149i) q^{72} -11.1596i q^{73} -11.5637 q^{74} +(1.47314 - 0.963792i) q^{75} -2.50826i q^{76} +(-1.39394 - 2.41437i) q^{77} +(7.81742 + 7.07817i) q^{78} +(1.52947 - 2.64913i) q^{79} +(-8.60445 - 4.96778i) q^{80} +(-2.66466 + 8.59649i) q^{81} +(1.90778 + 3.30438i) q^{82} +(10.1113 + 5.83777i) q^{83} +(-0.807548 - 1.23432i) q^{84} +(-5.93548 - 3.42685i) q^{85} +(-3.83453 + 2.21387i) q^{86} +(-0.238424 - 4.27185i) q^{87} +(2.70321 + 4.68210i) q^{88} +(-15.1919 - 8.77105i) q^{89} +(10.0485 - 1.12517i) q^{90} +(-2.56518 + 2.53374i) q^{91} +(-0.369671 + 0.640289i) q^{92} +(10.7479 - 0.599871i) q^{93} +8.68821 q^{94} +(-2.93931 + 5.09103i) q^{95} +(4.29341 + 6.56239i) q^{96} -6.73005i q^{97} +(1.46243 - 0.844334i) q^{98} +(-7.66348 - 3.34984i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q + 84q^{4} - 2q^{9} + O(q^{10}) \) \( 168q + 84q^{4} - 2q^{9} + 12q^{12} + 8q^{14} - 84q^{16} + 12q^{18} - 6q^{21} + 40q^{23} - 84q^{24} + 84q^{25} + 4q^{26} - 24q^{27} + 34q^{29} + 44q^{30} + 36q^{32} + 18q^{33} + 16q^{35} + 4q^{36} - 12q^{38} - 6q^{39} - 30q^{45} - 30q^{47} - 2q^{48} - 168q^{49} - 38q^{51} + 18q^{52} - 48q^{53} + 114q^{54} + 48q^{56} - 54q^{57} + 48q^{59} + 24q^{60} + 6q^{62} - 12q^{63} - 132q^{64} - 16q^{65} - 54q^{66} - 156q^{68} - 28q^{69} + 24q^{71} + 36q^{72} - 84q^{74} + 30q^{75} - 16q^{77} + 116q^{78} - 6q^{79} - 2q^{81} - 6q^{82} + 18q^{83} - 24q^{84} + 90q^{85} - 24q^{86} + 52q^{87} + 24q^{88} - 36q^{89} - 44q^{90} - 6q^{91} + 8q^{92} - 66q^{93} + 120q^{94} - 48q^{95} - 24q^{96} + 6q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.46243 + 0.844334i −1.03409 + 0.597035i −0.918155 0.396222i \(-0.870321\pi\)
−0.115939 + 0.993256i \(0.536988\pi\)
\(3\) −1.54593 0.781091i −0.892543 0.450963i
\(4\) 0.425801 0.737510i 0.212901 0.368755i
\(5\) −1.72850 + 0.997952i −0.773010 + 0.446298i −0.833947 0.551844i \(-0.813924\pi\)
0.0609373 + 0.998142i \(0.480591\pi\)
\(6\) 2.92032 0.162991i 1.19221 0.0665408i
\(7\) 1.00000i 0.377964i
\(8\) 1.93926i 0.685633i
\(9\) 1.77979 + 2.41502i 0.593265 + 0.805007i
\(10\) 1.68521 2.91887i 0.532910 0.923028i
\(11\) −2.41437 + 1.39394i −0.727961 + 0.420288i −0.817676 0.575679i \(-0.804738\pi\)
0.0897149 + 0.995967i \(0.471404\pi\)
\(12\) −1.23432 + 0.807548i −0.356318 + 0.233119i
\(13\) 2.53374 + 2.56518i 0.702733 + 0.711454i
\(14\) −0.844334 1.46243i −0.225658 0.390851i
\(15\) 3.45163 0.192645i 0.891208 0.0497408i
\(16\) 2.48899 + 4.31106i 0.622247 + 1.07776i
\(17\) 1.71694 + 2.97383i 0.416420 + 0.721261i 0.995576 0.0939559i \(-0.0299513\pi\)
−0.579156 + 0.815216i \(0.696618\pi\)
\(18\) −4.64191 2.02906i −1.09411 0.478254i
\(19\) 2.55074 1.47267i 0.585179 0.337853i −0.178010 0.984029i \(-0.556966\pi\)
0.763189 + 0.646175i \(0.223633\pi\)
\(20\) 1.69972i 0.380068i
\(21\) 0.781091 1.54593i 0.170448 0.337349i
\(22\) 2.35390 4.07708i 0.501853 0.869236i
\(23\) −0.868177 −0.181027 −0.0905137 0.995895i \(-0.528851\pi\)
−0.0905137 + 0.995895i \(0.528851\pi\)
\(24\) −1.51474 + 2.99796i −0.309195 + 0.611957i
\(25\) −0.508185 + 0.880202i −0.101637 + 0.176040i
\(26\) −5.87129 1.61208i −1.15145 0.316154i
\(27\) −0.865086 5.12363i −0.166486 0.986044i
\(28\) 0.737510 + 0.425801i 0.139376 + 0.0804689i
\(29\) 1.23510 + 2.13925i 0.229351 + 0.397248i 0.957616 0.288048i \(-0.0930062\pi\)
−0.728265 + 0.685296i \(0.759673\pi\)
\(30\) −4.88512 + 3.19606i −0.891896 + 0.583519i
\(31\) −5.38232 + 3.10748i −0.966693 + 0.558121i −0.898227 0.439533i \(-0.855144\pi\)
−0.0684669 + 0.997653i \(0.521811\pi\)
\(32\) −3.92104 2.26382i −0.693149 0.400190i
\(33\) 4.82124 0.269087i 0.839271 0.0468420i
\(34\) −5.02182 2.89935i −0.861235 0.497234i
\(35\) −0.997952 1.72850i −0.168685 0.292170i
\(36\) 2.53894 0.284296i 0.423157 0.0473827i
\(37\) 5.93039 + 3.42391i 0.974950 + 0.562888i 0.900742 0.434355i \(-0.143024\pi\)
0.0742085 + 0.997243i \(0.476357\pi\)
\(38\) −2.48685 + 4.30735i −0.403420 + 0.698745i
\(39\) −1.91334 5.94467i −0.306380 0.951909i
\(40\) 1.93529 + 3.35202i 0.305996 + 0.530001i
\(41\) 2.25951i 0.352877i −0.984312 0.176438i \(-0.943542\pi\)
0.984312 0.176438i \(-0.0564576\pi\)
\(42\) 0.162991 + 2.92032i 0.0251500 + 0.450614i
\(43\) 2.62202 0.399855 0.199927 0.979811i \(-0.435929\pi\)
0.199927 + 0.979811i \(0.435929\pi\)
\(44\) 2.37416i 0.357919i
\(45\) −5.48646 2.39822i −0.817873 0.357506i
\(46\) 1.26965 0.733032i 0.187199 0.108080i
\(47\) −4.45571 2.57250i −0.649932 0.375238i 0.138498 0.990363i \(-0.455772\pi\)
−0.788430 + 0.615125i \(0.789106\pi\)
\(48\) −0.480476 8.60871i −0.0693508 1.24256i
\(49\) −1.00000 −0.142857
\(50\) 1.71631i 0.242723i
\(51\) −0.331440 5.93843i −0.0464109 0.831546i
\(52\) 2.97072 0.776399i 0.411964 0.107667i
\(53\) −5.32084 −0.730874 −0.365437 0.930836i \(-0.619080\pi\)
−0.365437 + 0.930836i \(0.619080\pi\)
\(54\) 5.59119 + 6.76253i 0.760864 + 0.920264i
\(55\) 2.78217 4.81885i 0.375147 0.649774i
\(56\) 1.93926 0.259145
\(57\) −5.09355 + 0.284285i −0.674657 + 0.0376545i
\(58\) −3.61248 2.08567i −0.474342 0.273861i
\(59\) −10.8539 6.26651i −1.41306 0.815830i −0.417384 0.908730i \(-0.637053\pi\)
−0.995675 + 0.0928996i \(0.970386\pi\)
\(60\) 1.32763 2.62764i 0.171397 0.339227i
\(61\) −6.66360 −0.853186 −0.426593 0.904444i \(-0.640286\pi\)
−0.426593 + 0.904444i \(0.640286\pi\)
\(62\) 5.24751 9.08896i 0.666435 1.15430i
\(63\) −2.41502 + 1.77979i −0.304264 + 0.224233i
\(64\) −2.31029 −0.288786
\(65\) −6.93951 1.90538i −0.860740 0.236333i
\(66\) −6.82353 + 4.46426i −0.839919 + 0.549513i
\(67\) 2.09482i 0.255923i −0.991779 0.127962i \(-0.959157\pi\)
0.991779 0.127962i \(-0.0408434\pi\)
\(68\) 2.92431 0.354624
\(69\) 1.34214 + 0.678125i 0.161575 + 0.0816367i
\(70\) 2.91887 + 1.68521i 0.348872 + 0.201421i
\(71\) −8.10653 + 4.68031i −0.962068 + 0.555450i −0.896809 0.442418i \(-0.854121\pi\)
−0.0652591 + 0.997868i \(0.520787\pi\)
\(72\) 4.68336 3.45149i 0.551939 0.406762i
\(73\) 11.1596i 1.30614i −0.757298 0.653069i \(-0.773481\pi\)
0.757298 0.653069i \(-0.226519\pi\)
\(74\) −11.5637 −1.34425
\(75\) 1.47314 0.963792i 0.170103 0.111289i
\(76\) 2.50826i 0.287717i
\(77\) −1.39394 2.41437i −0.158854 0.275143i
\(78\) 7.81742 + 7.07817i 0.885149 + 0.801445i
\(79\) 1.52947 2.64913i 0.172079 0.298050i −0.767067 0.641567i \(-0.778285\pi\)
0.939147 + 0.343517i \(0.111618\pi\)
\(80\) −8.60445 4.96778i −0.962007 0.555415i
\(81\) −2.66466 + 8.59649i −0.296073 + 0.955165i
\(82\) 1.90778 + 3.30438i 0.210680 + 0.364908i
\(83\) 10.1113 + 5.83777i 1.10986 + 0.640779i 0.938793 0.344481i \(-0.111945\pi\)
0.171068 + 0.985259i \(0.445278\pi\)
\(84\) −0.807548 1.23432i −0.0881107 0.134675i
\(85\) −5.93548 3.42685i −0.643794 0.371694i
\(86\) −3.83453 + 2.21387i −0.413488 + 0.238727i
\(87\) −0.238424 4.27185i −0.0255617 0.457990i
\(88\) 2.70321 + 4.68210i 0.288164 + 0.499114i
\(89\) −15.1919 8.77105i −1.61034 0.929729i −0.989291 0.145956i \(-0.953374\pi\)
−0.621047 0.783773i \(-0.713293\pi\)
\(90\) 10.0485 1.12517i 1.05920 0.118603i
\(91\) −2.56518 + 2.53374i −0.268904 + 0.265608i
\(92\) −0.369671 + 0.640289i −0.0385409 + 0.0667547i
\(93\) 10.7479 0.599871i 1.11451 0.0622037i
\(94\) 8.68821 0.896121
\(95\) −2.93931 + 5.09103i −0.301566 + 0.522328i
\(96\) 4.29341 + 6.56239i 0.438195 + 0.669771i
\(97\) 6.73005i 0.683333i −0.939821 0.341666i \(-0.889009\pi\)
0.939821 0.341666i \(-0.110991\pi\)
\(98\) 1.46243 0.844334i 0.147728 0.0852907i
\(99\) −7.66348 3.34984i −0.770209 0.336671i
\(100\) 0.432772 + 0.749583i 0.0432772 + 0.0749583i
\(101\) 8.20621 + 14.2136i 0.816549 + 1.41430i 0.908211 + 0.418514i \(0.137449\pi\)
−0.0916619 + 0.995790i \(0.529218\pi\)
\(102\) 5.49873 + 8.40469i 0.544455 + 0.832188i
\(103\) −7.50261 12.9949i −0.739254 1.28043i −0.952831 0.303500i \(-0.901845\pi\)
0.213577 0.976926i \(-0.431489\pi\)
\(104\) 4.97456 4.91359i 0.487796 0.481817i
\(105\) 0.192645 + 3.45163i 0.0188003 + 0.336845i
\(106\) 7.78136 4.49257i 0.755793 0.436357i
\(107\) 0.0702618 0.121697i 0.00679246 0.0117649i −0.862609 0.505871i \(-0.831171\pi\)
0.869402 + 0.494106i \(0.164505\pi\)
\(108\) −4.14708 1.54364i −0.399053 0.148537i
\(109\) 4.84617i 0.464179i −0.972694 0.232090i \(-0.925444\pi\)
0.972694 0.232090i \(-0.0745563\pi\)
\(110\) 9.39632i 0.895904i
\(111\) −6.49358 9.92530i −0.616343 0.942068i
\(112\) −4.31106 + 2.48899i −0.407356 + 0.235187i
\(113\) 3.67709 6.36891i 0.345912 0.599137i −0.639607 0.768702i \(-0.720903\pi\)
0.985519 + 0.169565i \(0.0542363\pi\)
\(114\) 7.20893 4.71641i 0.675178 0.441732i
\(115\) 1.50065 0.866399i 0.139936 0.0807921i
\(116\) 2.10362 0.195316
\(117\) −1.68544 + 10.6845i −0.155819 + 0.987786i
\(118\) 21.1641 1.94832
\(119\) −2.97383 + 1.71694i −0.272611 + 0.157392i
\(120\) −0.373590 6.69363i −0.0341039 0.611042i
\(121\) −1.61387 + 2.79530i −0.146715 + 0.254119i
\(122\) 9.74505 5.62631i 0.882275 0.509382i
\(123\) −1.76488 + 3.49305i −0.159134 + 0.314957i
\(124\) 5.29269i 0.475297i
\(125\) 12.0081i 1.07404i
\(126\) 2.02906 4.64191i 0.180763 0.413534i
\(127\) −9.45530 + 16.3771i −0.839022 + 1.45323i 0.0516908 + 0.998663i \(0.483539\pi\)
−0.890713 + 0.454566i \(0.849794\pi\)
\(128\) 11.2207 6.47829i 0.991781 0.572605i
\(129\) −4.05346 2.04804i −0.356888 0.180320i
\(130\) 11.7573 3.07278i 1.03118 0.269501i
\(131\) 8.27462 + 14.3321i 0.722957 + 1.25220i 0.959809 + 0.280653i \(0.0905510\pi\)
−0.236852 + 0.971546i \(0.576116\pi\)
\(132\) 1.85444 3.67029i 0.161408 0.319458i
\(133\) 1.47267 + 2.55074i 0.127697 + 0.221177i
\(134\) 1.76873 + 3.06353i 0.152795 + 0.264649i
\(135\) 6.60844 + 7.99290i 0.568764 + 0.687919i
\(136\) 5.76705 3.32960i 0.494520 0.285511i
\(137\) 13.6505i 1.16624i 0.812386 + 0.583119i \(0.198168\pi\)
−0.812386 + 0.583119i \(0.801832\pi\)
\(138\) −2.53535 + 0.141505i −0.215823 + 0.0120457i
\(139\) 3.26986 5.66357i 0.277346 0.480378i −0.693378 0.720574i \(-0.743878\pi\)
0.970724 + 0.240196i \(0.0772118\pi\)
\(140\) −1.69972 −0.143652
\(141\) 4.87885 + 7.45722i 0.410873 + 0.628011i
\(142\) 7.90349 13.6892i 0.663246 1.14878i
\(143\) −9.69310 2.66143i −0.810578 0.222560i
\(144\) −5.98140 + 13.6838i −0.498450 + 1.14031i
\(145\) −4.26973 2.46513i −0.354582 0.204718i
\(146\) 9.42247 + 16.3202i 0.779810 + 1.35067i
\(147\) 1.54593 + 0.781091i 0.127506 + 0.0644233i
\(148\) 5.05034 2.91581i 0.415135 0.239678i
\(149\) −11.5562 6.67200i −0.946724 0.546591i −0.0546620 0.998505i \(-0.517408\pi\)
−0.892062 + 0.451914i \(0.850741\pi\)
\(150\) −1.34060 + 2.65330i −0.109459 + 0.216641i
\(151\) −8.62281 4.97838i −0.701714 0.405135i 0.106271 0.994337i \(-0.466109\pi\)
−0.807986 + 0.589202i \(0.799442\pi\)
\(152\) −2.85589 4.94655i −0.231643 0.401218i
\(153\) −4.12607 + 9.43927i −0.333573 + 0.763120i
\(154\) 4.07708 + 2.35390i 0.328540 + 0.189683i
\(155\) 6.20224 10.7426i 0.498176 0.862866i
\(156\) −5.19896 1.12014i −0.416250 0.0896831i
\(157\) 4.45576 + 7.71761i 0.355609 + 0.615932i 0.987222 0.159351i \(-0.0509403\pi\)
−0.631613 + 0.775284i \(0.717607\pi\)
\(158\) 5.16555i 0.410949i
\(159\) 8.22565 + 4.15606i 0.652336 + 0.329597i
\(160\) 9.03672 0.714415
\(161\) 0.868177i 0.0684219i
\(162\) −3.36143 14.8216i −0.264099 1.16450i
\(163\) −3.27438 + 1.89046i −0.256469 + 0.148072i −0.622723 0.782443i \(-0.713974\pi\)
0.366254 + 0.930515i \(0.380640\pi\)
\(164\) −1.66641 0.962104i −0.130125 0.0751277i
\(165\) −8.06500 + 5.27648i −0.627859 + 0.410774i
\(166\) −19.7161 −1.53027
\(167\) 6.91053i 0.534753i −0.963592 0.267376i \(-0.913843\pi\)
0.963592 0.267376i \(-0.0861567\pi\)
\(168\) −2.99796 1.51474i −0.231298 0.116865i
\(169\) −0.160326 + 12.9990i −0.0123328 + 0.999924i
\(170\) 11.5736 0.887658
\(171\) 8.09632 + 3.53904i 0.619141 + 0.270637i
\(172\) 1.11646 1.93377i 0.0851294 0.147448i
\(173\) 2.50499 0.190451 0.0952253 0.995456i \(-0.469643\pi\)
0.0952253 + 0.995456i \(0.469643\pi\)
\(174\) 3.95555 + 6.04597i 0.299869 + 0.458344i
\(175\) −0.880202 0.508185i −0.0665370 0.0384152i
\(176\) −12.0187 6.93900i −0.905943 0.523047i
\(177\) 11.8847 + 18.1655i 0.893307 + 1.36540i
\(178\) 29.6228 2.22032
\(179\) 3.24947 5.62826i 0.242877 0.420676i −0.718655 0.695366i \(-0.755242\pi\)
0.961533 + 0.274691i \(0.0885755\pi\)
\(180\) −4.10485 + 3.02515i −0.305958 + 0.225481i
\(181\) 3.19266 0.237308 0.118654 0.992936i \(-0.462142\pi\)
0.118654 + 0.992936i \(0.462142\pi\)
\(182\) 1.61208 5.87129i 0.119495 0.435209i
\(183\) 10.3015 + 5.20487i 0.761505 + 0.384755i
\(184\) 1.68362i 0.124118i
\(185\) −13.6676 −1.00486
\(186\) −15.2116 + 9.95211i −1.11537 + 0.729724i
\(187\) −8.29068 4.78663i −0.606275 0.350033i
\(188\) −3.79449 + 2.19075i −0.276742 + 0.159777i
\(189\) 5.12363 0.865086i 0.372690 0.0629258i
\(190\) 9.92703i 0.720182i
\(191\) 1.41069 0.102074 0.0510368 0.998697i \(-0.483747\pi\)
0.0510368 + 0.998697i \(0.483747\pi\)
\(192\) 3.57154 + 1.80454i 0.257754 + 0.130232i
\(193\) 20.8476i 1.50064i 0.661074 + 0.750321i \(0.270101\pi\)
−0.661074 + 0.750321i \(0.729899\pi\)
\(194\) 5.68241 + 9.84223i 0.407973 + 0.706631i
\(195\) 9.23971 + 8.36596i 0.661670 + 0.599099i
\(196\) −0.425801 + 0.737510i −0.0304144 + 0.0526793i
\(197\) 24.1325 + 13.9329i 1.71937 + 0.992678i 0.920079 + 0.391733i \(0.128124\pi\)
0.799290 + 0.600946i \(0.205209\pi\)
\(198\) 14.0357 1.57164i 0.997473 0.111691i
\(199\) −7.69090 13.3210i −0.545194 0.944303i −0.998595 0.0529966i \(-0.983123\pi\)
0.453401 0.891307i \(-0.350211\pi\)
\(200\) 1.70694 + 0.985504i 0.120699 + 0.0696857i
\(201\) −1.63624 + 3.23844i −0.115412 + 0.228422i
\(202\) −24.0020 13.8576i −1.68878 0.975016i
\(203\) −2.13925 + 1.23510i −0.150146 + 0.0866867i
\(204\) −4.52077 2.28415i −0.316517 0.159922i
\(205\) 2.25488 + 3.90557i 0.157488 + 0.272777i
\(206\) 21.9441 + 12.6694i 1.52892 + 0.882721i
\(207\) −1.54518 2.09667i −0.107397 0.145728i
\(208\) −4.75220 + 17.3078i −0.329505 + 1.20008i
\(209\) −4.10562 + 7.11114i −0.283992 + 0.491888i
\(210\) −3.19606 4.88512i −0.220549 0.337105i
\(211\) −12.6991 −0.874241 −0.437121 0.899403i \(-0.644002\pi\)
−0.437121 + 0.899403i \(0.644002\pi\)
\(212\) −2.26562 + 3.92417i −0.155604 + 0.269513i
\(213\) 16.1879 0.903490i 1.10917 0.0619061i
\(214\) 0.237298i 0.0162213i
\(215\) −4.53218 + 2.61665i −0.309092 + 0.178454i
\(216\) −9.93607 + 1.67763i −0.676064 + 0.114148i
\(217\) −3.10748 5.38232i −0.210950 0.365376i
\(218\) 4.09179 + 7.08719i 0.277131 + 0.480005i
\(219\) −8.71670 + 17.2520i −0.589020 + 1.16578i
\(220\) −2.36930 4.10375i −0.159738 0.276675i
\(221\) −3.27814 + 11.9392i −0.220511 + 0.803117i
\(222\) 17.8767 + 9.03231i 1.19980 + 0.606209i
\(223\) 11.2449 6.49225i 0.753014 0.434753i −0.0737678 0.997275i \(-0.523502\pi\)
0.826782 + 0.562522i \(0.190169\pi\)
\(224\) 2.26382 3.92104i 0.151258 0.261986i
\(225\) −3.03017 + 0.339302i −0.202011 + 0.0226201i
\(226\) 12.4188i 0.826086i
\(227\) 17.4205i 1.15624i −0.815951 0.578121i \(-0.803786\pi\)
0.815951 0.578121i \(-0.196214\pi\)
\(228\) −1.95918 + 3.87759i −0.129750 + 0.256800i
\(229\) −17.6524 + 10.1916i −1.16651 + 0.673482i −0.952855 0.303428i \(-0.901869\pi\)
−0.213651 + 0.976910i \(0.568536\pi\)
\(230\) −1.46306 + 2.53410i −0.0964714 + 0.167093i
\(231\) 0.269087 + 4.82124i 0.0177046 + 0.317214i
\(232\) 4.14856 2.39517i 0.272367 0.157251i
\(233\) 9.05169 0.592996 0.296498 0.955033i \(-0.404181\pi\)
0.296498 + 0.955033i \(0.404181\pi\)
\(234\) −6.55649 17.0485i −0.428611 1.11449i
\(235\) 10.2689 0.669871
\(236\) −9.24323 + 5.33658i −0.601683 + 0.347382i
\(237\) −4.43367 + 2.90070i −0.287998 + 0.188421i
\(238\) 2.89935 5.02182i 0.187937 0.325516i
\(239\) −1.63695 + 0.945095i −0.105886 + 0.0611331i −0.552008 0.833839i \(-0.686138\pi\)
0.446122 + 0.894972i \(0.352805\pi\)
\(240\) 9.42158 + 14.4007i 0.608161 + 0.929561i
\(241\) 7.29591i 0.469971i −0.971999 0.234985i \(-0.924496\pi\)
0.971999 0.234985i \(-0.0755042\pi\)
\(242\) 5.45058i 0.350377i
\(243\) 10.8340 11.2082i 0.695002 0.719008i
\(244\) −2.83737 + 4.91447i −0.181644 + 0.314617i
\(245\) 1.72850 0.997952i 0.110430 0.0637568i
\(246\) −0.368280 6.59849i −0.0234807 0.420704i
\(247\) 10.2406 + 2.81175i 0.651592 + 0.178907i
\(248\) 6.02623 + 10.4377i 0.382666 + 0.662797i
\(249\) −11.0716 16.9226i −0.701631 1.07243i
\(250\) 10.1388 + 17.5610i 0.641237 + 1.11065i
\(251\) 4.24362 + 7.35017i 0.267855 + 0.463938i 0.968308 0.249760i \(-0.0803519\pi\)
−0.700453 + 0.713699i \(0.747019\pi\)
\(252\) 0.284296 + 2.53894i 0.0179090 + 0.159938i
\(253\) 2.09610 1.21019i 0.131781 0.0760837i
\(254\) 31.9337i 2.00370i
\(255\) 6.49916 + 9.93383i 0.406993 + 0.622080i
\(256\) −8.62939 + 14.9465i −0.539337 + 0.934159i
\(257\) −14.8145 −0.924106 −0.462053 0.886852i \(-0.652887\pi\)
−0.462053 + 0.886852i \(0.652887\pi\)
\(258\) 7.65714 0.427366i 0.476713 0.0266067i
\(259\) −3.42391 + 5.93039i −0.212752 + 0.368497i
\(260\) −4.36008 + 4.30664i −0.270401 + 0.267086i
\(261\) −2.96811 + 6.79020i −0.183722 + 0.420303i
\(262\) −24.2021 13.9731i −1.49521 0.863261i
\(263\) 9.08834 + 15.7415i 0.560411 + 0.970660i 0.997460 + 0.0712226i \(0.0226901\pi\)
−0.437050 + 0.899437i \(0.643977\pi\)
\(264\) −0.521830 9.34965i −0.0321164 0.575431i
\(265\) 9.19709 5.30994i 0.564973 0.326187i
\(266\) −4.30735 2.48685i −0.264101 0.152479i
\(267\) 16.6346 + 25.4257i 1.01802 + 1.55603i
\(268\) −1.54495 0.891978i −0.0943729 0.0544862i
\(269\) 1.10712 + 1.91759i 0.0675022 + 0.116917i 0.897801 0.440401i \(-0.145164\pi\)
−0.830299 + 0.557318i \(0.811830\pi\)
\(270\) −16.4131 6.10932i −0.998868 0.371802i
\(271\) −27.8583 16.0840i −1.69227 0.977032i −0.952681 0.303971i \(-0.901687\pi\)
−0.739587 0.673061i \(-0.764979\pi\)
\(272\) −8.54691 + 14.8037i −0.518232 + 0.897605i
\(273\) 5.94467 1.91334i 0.359788 0.115801i
\(274\) −11.5256 19.9629i −0.696285 1.20600i
\(275\) 2.83351i 0.170867i
\(276\) 1.07161 0.701095i 0.0645033 0.0422010i
\(277\) −14.5777 −0.875889 −0.437945 0.899002i \(-0.644293\pi\)
−0.437945 + 0.899002i \(0.644293\pi\)
\(278\) 11.0434i 0.662341i
\(279\) −17.0841 7.46774i −1.02280 0.447082i
\(280\) −3.35202 + 1.93529i −0.200322 + 0.115656i
\(281\) −10.3688 5.98643i −0.618551 0.357121i 0.157754 0.987479i \(-0.449575\pi\)
−0.776305 + 0.630358i \(0.782908\pi\)
\(282\) −13.4314 6.78628i −0.799826 0.404117i
\(283\) −0.829075 −0.0492834 −0.0246417 0.999696i \(-0.507844\pi\)
−0.0246417 + 0.999696i \(0.507844\pi\)
\(284\) 7.97152i 0.473023i
\(285\) 8.52051 5.57450i 0.504711 0.330205i
\(286\) 16.4226 4.29206i 0.971090 0.253795i
\(287\) 2.25951 0.133375
\(288\) −1.51149 13.4985i −0.0890654 0.795409i
\(289\) 2.60421 4.51062i 0.153189 0.265331i
\(290\) 8.32558 0.488895
\(291\) −5.25678 + 10.4042i −0.308158 + 0.609904i
\(292\) −8.23035 4.75179i −0.481645 0.278078i
\(293\) −8.27809 4.77936i −0.483611 0.279213i 0.238309 0.971189i \(-0.423407\pi\)
−0.721920 + 0.691976i \(0.756740\pi\)
\(294\) −2.92032 + 0.162991i −0.170316 + 0.00950582i
\(295\) 25.0147 1.45641
\(296\) 6.63987 11.5006i 0.385934 0.668458i
\(297\) 9.23067 + 11.1645i 0.535618 + 0.647829i
\(298\) 22.5336 1.30534
\(299\) −2.19973 2.22703i −0.127214 0.128793i
\(300\) −0.0835426 1.49684i −0.00482333 0.0864198i
\(301\) 2.62202i 0.151131i
\(302\) 16.8137 0.967518
\(303\) −1.58413 28.3830i −0.0910061 1.63056i
\(304\) 12.6975 + 7.33091i 0.728253 + 0.420457i
\(305\) 11.5181 6.64995i 0.659522 0.380775i
\(306\) −1.93582 17.2881i −0.110663 0.988292i
\(307\) 20.1396i 1.14943i −0.818354 0.574714i \(-0.805113\pi\)
0.818354 0.574714i \(-0.194887\pi\)
\(308\) −2.37416 −0.135281
\(309\) 1.44831 + 25.9494i 0.0823915 + 1.47621i
\(310\) 20.9471i 1.18971i
\(311\) −9.02063 15.6242i −0.511513 0.885966i −0.999911 0.0133452i \(-0.995752\pi\)
0.488398 0.872621i \(-0.337581\pi\)
\(312\) −11.5283 + 3.71047i −0.652660 + 0.210064i
\(313\) 7.49785 12.9867i 0.423803 0.734049i −0.572504 0.819902i \(-0.694028\pi\)
0.996308 + 0.0858526i \(0.0273614\pi\)
\(314\) −13.0325 7.52431i −0.735466 0.424621i
\(315\) 2.39822 5.48646i 0.135125 0.309127i
\(316\) −1.30250 2.25600i −0.0732716 0.126910i
\(317\) −14.3390 8.27865i −0.805361 0.464975i 0.0399812 0.999200i \(-0.487270\pi\)
−0.845342 + 0.534225i \(0.820604\pi\)
\(318\) −15.5385 + 0.867249i −0.871358 + 0.0486329i
\(319\) −5.96396 3.44329i −0.333918 0.192787i
\(320\) 3.99333 2.30555i 0.223234 0.128884i
\(321\) −0.203676 + 0.133254i −0.0113681 + 0.00743752i
\(322\) 0.733032 + 1.26965i 0.0408503 + 0.0707547i
\(323\) 8.75895 + 5.05698i 0.487361 + 0.281378i
\(324\) 5.20538 + 5.62561i 0.289188 + 0.312534i
\(325\) −3.54549 + 0.926616i −0.196668 + 0.0513994i
\(326\) 3.19236 5.52934i 0.176809 0.306242i
\(327\) −3.78530 + 7.49184i −0.209328 + 0.414300i
\(328\) −4.38179 −0.241944
\(329\) 2.57250 4.45571i 0.141827 0.245651i
\(330\) 7.33938 14.5260i 0.404019 0.799632i
\(331\) 29.4568i 1.61909i 0.587055 + 0.809547i \(0.300287\pi\)
−0.587055 + 0.809547i \(0.699713\pi\)
\(332\) 8.61083 4.97146i 0.472580 0.272844i
\(333\) 2.28606 + 20.4159i 0.125275 + 1.11878i
\(334\) 5.83480 + 10.1062i 0.319266 + 0.552985i
\(335\) 2.09053 + 3.62090i 0.114218 + 0.197831i
\(336\) 8.60871 0.480476i 0.469644 0.0262121i
\(337\) 4.54514 + 7.87241i 0.247590 + 0.428838i 0.962857 0.270014i \(-0.0870282\pi\)
−0.715267 + 0.698851i \(0.753695\pi\)
\(338\) −10.7410 19.1455i −0.584236 1.04138i
\(339\) −10.6592 + 6.97375i −0.578930 + 0.378762i
\(340\) −5.05468 + 2.91832i −0.274128 + 0.158268i
\(341\) 8.66329 15.0053i 0.469143 0.812580i
\(342\) −14.8284 + 1.66040i −0.801830 + 0.0897844i
\(343\) 1.00000i 0.0539949i
\(344\) 5.08479i 0.274154i
\(345\) −2.99663 + 0.167250i −0.161333 + 0.00900445i
\(346\) −3.66337 + 2.11505i −0.196944 + 0.113706i
\(347\) 9.90030 17.1478i 0.531476 0.920543i −0.467849 0.883808i \(-0.654971\pi\)
0.999325 0.0367349i \(-0.0116957\pi\)
\(348\) −3.25205 1.64312i −0.174328 0.0880804i
\(349\) −4.28595 + 2.47449i −0.229422 + 0.132457i −0.610305 0.792166i \(-0.708953\pi\)
0.380884 + 0.924623i \(0.375620\pi\)
\(350\) 1.71631 0.0917408
\(351\) 10.9512 15.2011i 0.584529 0.811373i
\(352\) 12.6225 0.672781
\(353\) −5.12091 + 2.95656i −0.272559 + 0.157362i −0.630050 0.776555i \(-0.716966\pi\)
0.357491 + 0.933917i \(0.383632\pi\)
\(354\) −32.7183 16.5311i −1.73896 0.878618i
\(355\) 9.34144 16.1798i 0.495792 0.858737i
\(356\) −12.9375 + 7.46945i −0.685684 + 0.395880i
\(357\) 5.93843 0.331440i 0.314295 0.0175417i
\(358\) 10.9746i 0.580024i
\(359\) 12.9428i 0.683097i −0.939864 0.341549i \(-0.889049\pi\)
0.939864 0.341549i \(-0.110951\pi\)
\(360\) −4.65078 + 10.6397i −0.245118 + 0.560760i
\(361\) −5.16249 + 8.94170i −0.271710 + 0.470616i
\(362\) −4.66904 + 2.69567i −0.245399 + 0.141681i
\(363\) 4.67831 3.06076i 0.245548 0.160648i
\(364\) 0.776399 + 2.97072i 0.0406944 + 0.155708i
\(365\) 11.1368 + 19.2895i 0.582926 + 1.00966i
\(366\) −19.4598 + 1.08611i −1.01718 + 0.0567717i
\(367\) −6.03155 10.4470i −0.314844 0.545327i 0.664560 0.747235i \(-0.268619\pi\)
−0.979404 + 0.201908i \(0.935286\pi\)
\(368\) −2.16088 3.74276i −0.112644 0.195105i
\(369\) 5.45677 4.02147i 0.284068 0.209349i
\(370\) 19.9879 11.5400i 1.03912 0.599937i
\(371\) 5.32084i 0.276244i
\(372\) 4.13407 8.18212i 0.214341 0.424223i
\(373\) 8.63603 14.9580i 0.447157 0.774498i −0.551043 0.834477i \(-0.685770\pi\)
0.998200 + 0.0599786i \(0.0191033\pi\)
\(374\) 16.1661 0.835927
\(375\) −9.37941 + 18.5637i −0.484351 + 0.958623i
\(376\) −4.98876 + 8.64078i −0.257276 + 0.445614i
\(377\) −2.35815 + 8.58854i −0.121451 + 0.442332i
\(378\) −6.76253 + 5.59119i −0.347827 + 0.287580i
\(379\) −2.37432 1.37082i −0.121961 0.0704141i 0.437778 0.899083i \(-0.355765\pi\)
−0.559739 + 0.828669i \(0.689099\pi\)
\(380\) 2.50312 + 4.33553i 0.128407 + 0.222408i
\(381\) 27.4092 17.9323i 1.40422 0.918701i
\(382\) −2.06303 + 1.19109i −0.105554 + 0.0609415i
\(383\) −14.9816 8.64962i −0.765523 0.441975i 0.0657520 0.997836i \(-0.479055\pi\)
−0.831275 + 0.555861i \(0.812389\pi\)
\(384\) −22.4066 + 1.25057i −1.14343 + 0.0638180i
\(385\) 4.81885 + 2.78217i 0.245592 + 0.141792i
\(386\) −17.6023 30.4881i −0.895935 1.55180i
\(387\) 4.66667 + 6.33225i 0.237220 + 0.321886i
\(388\) −4.96348 2.86566i −0.251982 0.145482i
\(389\) 15.1685 26.2725i 0.769071 1.33207i −0.168995 0.985617i \(-0.554052\pi\)
0.938067 0.346454i \(-0.112614\pi\)
\(390\) −20.5761 4.43322i −1.04191 0.224485i
\(391\) −1.49061 2.58181i −0.0753834 0.130568i
\(392\) 1.93926i 0.0979476i
\(393\) −1.59734 28.6196i −0.0805751 1.44367i
\(394\) −47.0561 −2.37065
\(395\) 6.10536i 0.307194i
\(396\) −5.73366 + 4.22553i −0.288127 + 0.212341i
\(397\) −22.6182 + 13.0586i −1.13518 + 0.655394i −0.945231 0.326401i \(-0.894164\pi\)
−0.189944 + 0.981795i \(0.560831\pi\)
\(398\) 22.4948 + 12.9874i 1.12756 + 0.650999i
\(399\) −0.284285 5.09355i −0.0142321 0.254996i
\(400\) −5.05947 −0.252973
\(401\) 26.8397i 1.34031i −0.742222 0.670154i \(-0.766228\pi\)
0.742222 0.670154i \(-0.233772\pi\)
\(402\) −0.341437 6.11754i −0.0170293 0.305115i
\(403\) −21.6087 5.93308i −1.07640 0.295548i
\(404\) 13.9769 0.695375
\(405\) −3.97301 17.5183i −0.197420 0.870489i
\(406\) 2.08567 3.61248i 0.103510 0.179284i
\(407\) −19.0909 −0.946301
\(408\) −11.5162 + 0.642749i −0.570135 + 0.0318208i
\(409\) 22.5686 + 13.0300i 1.11595 + 0.644292i 0.940363 0.340173i \(-0.110486\pi\)
0.175583 + 0.984465i \(0.443819\pi\)
\(410\) −6.59522 3.80775i −0.325715 0.188052i
\(411\) 10.6623 21.1027i 0.525930 1.04092i
\(412\) −12.7785 −0.629551
\(413\) 6.26651 10.8539i 0.308355 0.534086i
\(414\) 4.03000 + 1.76158i 0.198064 + 0.0865770i
\(415\) −23.3033 −1.14391
\(416\) −4.12780 15.7941i −0.202382 0.774370i
\(417\) −9.47874 + 6.20142i −0.464176 + 0.303685i
\(418\) 13.8661i 0.678212i
\(419\) 36.8955 1.80246 0.901232 0.433337i \(-0.142664\pi\)
0.901232 + 0.433337i \(0.142664\pi\)
\(420\) 2.62764 + 1.32763i 0.128216 + 0.0647818i
\(421\) −17.8529 10.3073i −0.870095 0.502349i −0.00271499 0.999996i \(-0.500864\pi\)
−0.867380 + 0.497647i \(0.834198\pi\)
\(422\) 18.5715 10.7223i 0.904048 0.521952i
\(423\) −1.71759 15.3392i −0.0835122 0.745815i
\(424\) 10.3185i 0.501111i
\(425\) −3.49010 −0.169295
\(426\) −22.9108 + 14.9893i −1.11003 + 0.726232i
\(427\) 6.66360i 0.322474i
\(428\) −0.0598351 0.103637i −0.00289224 0.00500951i
\(429\) 12.9060 + 11.6856i 0.623109 + 0.564185i
\(430\) 4.41866 7.65335i 0.213087 0.369077i
\(431\) 20.8692 + 12.0488i 1.00523 + 0.580372i 0.909793 0.415063i \(-0.136240\pi\)
0.0954413 + 0.995435i \(0.469574\pi\)
\(432\) 19.9351 16.4821i 0.959127 0.792996i
\(433\) −9.42304 16.3212i −0.452842 0.784346i 0.545719 0.837968i \(-0.316257\pi\)
−0.998561 + 0.0536222i \(0.982923\pi\)
\(434\) 9.08896 + 5.24751i 0.436284 + 0.251889i
\(435\) 4.67521 + 7.14597i 0.224159 + 0.342623i
\(436\) −3.57410 2.06351i −0.171168 0.0988241i
\(437\) −2.21449 + 1.27854i −0.105934 + 0.0611607i
\(438\) −1.81892 32.5897i −0.0869114 1.55720i
\(439\) −16.4692 28.5254i −0.786030 1.36144i −0.928382 0.371628i \(-0.878800\pi\)
0.142351 0.989816i \(-0.454534\pi\)
\(440\) −9.34503 5.39535i −0.445507 0.257213i
\(441\) −1.77979 2.41502i −0.0847521 0.115001i
\(442\) −5.28662 20.2281i −0.251459 0.962152i
\(443\) −10.9751 + 19.0093i −0.521440 + 0.903161i 0.478249 + 0.878225i \(0.341272\pi\)
−0.999689 + 0.0249368i \(0.992062\pi\)
\(444\) −10.0850 + 0.562871i −0.478612 + 0.0267127i
\(445\) 35.0123 1.65974
\(446\) −10.9633 + 18.9889i −0.519125 + 0.899151i
\(447\) 12.6537 + 19.3409i 0.598499 + 0.914793i
\(448\) 2.31029i 0.109151i
\(449\) −4.86626 + 2.80954i −0.229653 + 0.132590i −0.610412 0.792084i \(-0.708996\pi\)
0.380759 + 0.924674i \(0.375663\pi\)
\(450\) 4.14493 3.05468i 0.195394 0.143999i
\(451\) 3.14962 + 5.45531i 0.148310 + 0.256880i
\(452\) −3.13142 5.42378i −0.147290 0.255113i
\(453\) 9.44169 + 14.4314i 0.443609 + 0.678047i
\(454\) 14.7088 + 25.4763i 0.690316 + 1.19566i
\(455\) 1.90538 6.93951i 0.0893254 0.325329i
\(456\) 0.551303 + 9.87773i 0.0258172 + 0.462567i
\(457\) −7.62429 + 4.40189i −0.356649 + 0.205912i −0.667610 0.744511i \(-0.732683\pi\)
0.310961 + 0.950423i \(0.399349\pi\)
\(458\) 17.2103 29.8091i 0.804185 1.39289i
\(459\) 13.7515 11.3696i 0.641867 0.530688i
\(460\) 1.47566i 0.0688028i
\(461\) 33.8740i 1.57767i 0.614605 + 0.788835i \(0.289315\pi\)
−0.614605 + 0.788835i \(0.710685\pi\)
\(462\) −4.46426 6.82353i −0.207696 0.317459i
\(463\) 7.57756 4.37491i 0.352159 0.203319i −0.313477 0.949596i \(-0.601494\pi\)
0.665636 + 0.746277i \(0.268160\pi\)
\(464\) −6.14828 + 10.6491i −0.285427 + 0.494373i
\(465\) −17.9792 + 11.7628i −0.833764 + 0.545486i
\(466\) −13.2375 + 7.64266i −0.613214 + 0.354039i
\(467\) 14.8464 0.687008 0.343504 0.939151i \(-0.388386\pi\)
0.343504 + 0.939151i \(0.388386\pi\)
\(468\) 7.16229 + 5.79252i 0.331077 + 0.267759i
\(469\) 2.09482 0.0967298
\(470\) −15.0176 + 8.67042i −0.692710 + 0.399936i
\(471\) −0.860144 15.4112i −0.0396333 0.710112i
\(472\) −12.1524 + 21.0486i −0.559360 + 0.968840i
\(473\) −6.33054 + 3.65494i −0.291079 + 0.168054i
\(474\) 4.03476 7.98557i 0.185323 0.366790i
\(475\) 2.99355i 0.137354i
\(476\) 2.92431i 0.134035i
\(477\) −9.47001 12.8500i −0.433602 0.588359i
\(478\) 1.59595 2.76427i 0.0729972 0.126435i
\(479\) −16.3516 + 9.44061i −0.747125 + 0.431353i −0.824654 0.565637i \(-0.808630\pi\)
0.0775293 + 0.996990i \(0.475297\pi\)
\(480\) −13.9701 7.05849i −0.637646 0.322175i
\(481\) 6.24310 + 23.8878i 0.284661 + 1.08919i
\(482\) 6.16019 + 10.6698i 0.280589 + 0.485994i
\(483\) −0.678125 + 1.34214i −0.0308558 + 0.0610695i
\(484\) 1.37438 + 2.38049i 0.0624716 + 0.108204i
\(485\) 6.71626 + 11.6329i 0.304970 + 0.528223i
\(486\) −6.38050 + 25.5388i −0.289425 + 1.15846i
\(487\) 19.0924 11.0230i 0.865161 0.499501i −0.000576209 1.00000i \(-0.500183\pi\)
0.865737 + 0.500499i \(0.166850\pi\)
\(488\) 12.9225i 0.584973i
\(489\) 6.53858 0.364936i 0.295685 0.0165030i
\(490\) −1.68521 + 2.91887i −0.0761300 + 0.131861i
\(491\) 7.33222 0.330898 0.165449 0.986218i \(-0.447093\pi\)
0.165449 + 0.986218i \(0.447093\pi\)
\(492\) 1.82467 + 2.78896i 0.0822623 + 0.125736i
\(493\) −4.24118 + 7.34594i −0.191013 + 0.330844i
\(494\) −17.3502 + 4.53448i −0.780621 + 0.204016i
\(495\) 16.5893 1.85758i 0.745635 0.0834920i
\(496\) −26.7931 15.4690i −1.20304 0.694578i
\(497\) −4.68031 8.10653i −0.209940 0.363628i
\(498\) 30.4797 + 15.4001i 1.36583 + 0.690094i
\(499\) −18.3962 + 10.6211i −0.823527 + 0.475464i −0.851631 0.524141i \(-0.824386\pi\)
0.0281039 + 0.999605i \(0.491053\pi\)
\(500\) −8.85608 5.11306i −0.396056 0.228663i
\(501\) −5.39775 + 10.6832i −0.241154 + 0.477290i
\(502\) −12.4120 7.16607i −0.553975 0.319837i
\(503\) 18.2009 + 31.5248i 0.811537 + 1.40562i 0.911788 + 0.410661i \(0.134702\pi\)
−0.100251 + 0.994962i \(0.531965\pi\)
\(504\) 3.45149 + 4.68336i 0.153742 + 0.208614i
\(505\) −28.3689 16.3788i −1.26240 0.728847i
\(506\) −2.04360 + 3.53962i −0.0908492 + 0.157355i
\(507\) 10.4013 19.9703i 0.461936 0.886913i
\(508\) 8.05216 + 13.9468i 0.357257 + 0.618787i
\(509\) 32.2063i 1.42752i 0.700392 + 0.713759i \(0.253009\pi\)
−0.700392 + 0.713759i \(0.746991\pi\)
\(510\) −17.8920 9.04006i −0.792273 0.400301i
\(511\) 11.1596 0.493674
\(512\) 3.23124i 0.142802i
\(513\) −9.75203 11.7951i −0.430562 0.520765i
\(514\) 21.6652 12.5084i 0.955613 0.551723i
\(515\) 25.9366 + 14.9745i 1.14290 + 0.659855i
\(516\) −3.23642 + 2.11741i −0.142475 + 0.0932138i
\(517\) 14.3436 0.630833
\(518\) 11.5637i 0.508080i
\(519\) −3.87253 1.95662i −0.169985 0.0858862i
\(520\) −3.69503 + 13.4575i −0.162038 + 0.590151i
\(521\) −1.22518 −0.0536761 −0.0268381 0.999640i \(-0.508544\pi\)
−0.0268381 + 0.999640i \(0.508544\pi\)
\(522\) −1.39254 12.4363i −0.0609500 0.544321i
\(523\) −8.12561 + 14.0740i −0.355308 + 0.615412i −0.987171 0.159669i \(-0.948957\pi\)
0.631863 + 0.775080i \(0.282291\pi\)
\(524\) 14.0934 0.615672
\(525\) 0.963792 + 1.47314i 0.0420633 + 0.0642929i
\(526\) −26.5821 15.3472i −1.15904 0.669169i
\(527\) −18.4823 10.6708i −0.805101 0.464825i
\(528\) 13.1601 + 20.1149i 0.572718 + 0.875388i
\(529\) −22.2463 −0.967229
\(530\) −8.96674 + 15.5308i −0.389490 + 0.674617i
\(531\) −4.18398 37.3656i −0.181569 1.62153i
\(532\) 2.50826 0.108747
\(533\) 5.79606 5.72502i 0.251055 0.247978i
\(534\) −45.7947 23.1381i −1.98173 1.00128i
\(535\) 0.280471i 0.0121258i
\(536\) −4.06241 −0.175469
\(537\) −9.41964 + 6.16275i −0.406487 + 0.265942i
\(538\) −3.23817 1.86956i −0.139607 0.0806024i
\(539\) 2.41437 1.39394i 0.103994 0.0600412i
\(540\) 8.70873 1.47040i 0.374764 0.0632760i
\(541\) 27.6010i 1.18666i 0.804959 + 0.593331i \(0.202187\pi\)
−0.804959 + 0.593331i \(0.797813\pi\)
\(542\) 54.3210 2.33329
\(543\) −4.93562 2.49375i −0.211808 0.107017i
\(544\) 15.5474i 0.666588i
\(545\) 4.83625 + 8.37663i 0.207162 + 0.358815i
\(546\) −7.07817 + 7.81742i −0.302918 + 0.334555i
\(547\) 5.42150 9.39032i 0.231807 0.401501i −0.726533 0.687131i \(-0.758870\pi\)
0.958340 + 0.285630i \(0.0922030\pi\)
\(548\) 10.0674 + 5.81239i 0.430056 + 0.248293i
\(549\) −11.8598 16.0927i −0.506166 0.686821i
\(550\) 2.39243 + 4.14382i 0.102014 + 0.176693i
\(551\) 6.30081 + 3.63777i 0.268423 + 0.154974i
\(552\) 1.31506 2.60276i 0.0559728 0.110781i
\(553\) 2.64913 + 1.52947i 0.112652 + 0.0650398i
\(554\) 21.3189 12.3085i 0.905752 0.522936i
\(555\) 21.1291 + 10.6756i 0.896882 + 0.453155i
\(556\) −2.78462 4.82311i −0.118094 0.204545i
\(557\) 31.7563 + 18.3345i 1.34556 + 0.776859i 0.987617 0.156885i \(-0.0501451\pi\)
0.357942 + 0.933744i \(0.383478\pi\)
\(558\) 31.2895 3.50363i 1.32459 0.148320i
\(559\) 6.64353 + 6.72597i 0.280991 + 0.284478i
\(560\) 4.96778 8.60445i 0.209927 0.363604i
\(561\) 9.07802 + 13.8756i 0.383274 + 0.585827i
\(562\) 20.2182 0.852854
\(563\) −3.59431 + 6.22552i −0.151482 + 0.262374i −0.931772 0.363043i \(-0.881738\pi\)
0.780291 + 0.625417i \(0.215071\pi\)
\(564\) 7.57719 0.422904i 0.319057 0.0178075i
\(565\) 14.6782i 0.617519i
\(566\) 1.21246 0.700016i 0.0509637 0.0294239i
\(567\) −8.59649 2.66466i −0.361019 0.111905i
\(568\) 9.07634 + 15.7207i 0.380835 + 0.659625i
\(569\) −4.92801 8.53556i −0.206593 0.357829i 0.744046 0.668128i \(-0.232904\pi\)
−0.950639 + 0.310299i \(0.899571\pi\)
\(570\) −7.75391 + 15.3465i −0.324775 + 0.642793i
\(571\) −1.02885 1.78201i −0.0430558 0.0745749i 0.843694 0.536824i \(-0.180376\pi\)
−0.886750 + 0.462249i \(0.847043\pi\)
\(572\) −6.09017 + 6.01551i −0.254643 + 0.251521i
\(573\) −2.18082 1.10187i −0.0911051 0.0460314i
\(574\) −3.30438 + 1.90778i −0.137922 + 0.0796294i
\(575\) 0.441195 0.764171i 0.0183991 0.0318681i
\(576\) −4.11183 5.57939i −0.171326 0.232475i
\(577\) 23.3733i 0.973045i 0.873668 + 0.486523i \(0.161735\pi\)
−0.873668 + 0.486523i \(0.838265\pi\)
\(578\) 8.79529i 0.365836i
\(579\) 16.2838 32.2289i 0.676733 1.33939i
\(580\) −3.63612 + 2.09931i −0.150981 + 0.0871692i
\(581\) −5.83777 + 10.1113i −0.242192 + 0.419488i
\(582\) −1.09694 19.6539i −0.0454695 0.814679i
\(583\) 12.8465 7.41693i 0.532048 0.307178i
\(584\) −21.6415 −0.895531
\(585\) −7.74937 20.1502i −0.320397 0.833110i
\(586\) 16.1415 0.666800
\(587\) −11.1307 + 6.42629i −0.459411 + 0.265241i −0.711797 0.702386i \(-0.752118\pi\)
0.252385 + 0.967627i \(0.418785\pi\)
\(588\) 1.23432 0.807548i 0.0509025 0.0333027i
\(589\) −9.15259 + 15.8528i −0.377126 + 0.653201i
\(590\) −36.5823 + 21.1208i −1.50607 + 0.869529i
\(591\) −26.4243 40.3889i −1.08695 1.66138i
\(592\) 34.0883i 1.40102i
\(593\) 25.1789i 1.03397i −0.855993 0.516987i \(-0.827054\pi\)
0.855993 0.516987i \(-0.172946\pi\)
\(594\) −22.9258 8.53350i −0.940656 0.350134i
\(595\) 3.42685 5.93548i 0.140487 0.243331i
\(596\) −9.84132 + 5.68189i −0.403116 + 0.232739i
\(597\) 1.48466 + 26.6007i 0.0607630 + 1.08869i
\(598\) 5.09732 + 1.39957i 0.208445 + 0.0572326i
\(599\) 8.91102 + 15.4343i 0.364094 + 0.630630i 0.988630 0.150366i \(-0.0480453\pi\)
−0.624536 + 0.780996i \(0.714712\pi\)
\(600\) −1.86905 2.85680i −0.0763035 0.116628i
\(601\) 2.59386 + 4.49269i 0.105806 + 0.183261i 0.914067 0.405563i \(-0.132925\pi\)
−0.808261 + 0.588824i \(0.799591\pi\)
\(602\) −2.21387 3.83453i −0.0902304 0.156284i
\(603\) 5.05904 3.72835i 0.206020 0.151830i
\(604\) −7.34321 + 4.23960i −0.298791 + 0.172507i
\(605\) 6.44225i 0.261915i
\(606\) 26.2814 + 40.1706i 1.06761 + 1.63182i
\(607\) 12.5503 21.7377i 0.509399 0.882305i −0.490542 0.871418i \(-0.663201\pi\)
0.999941 0.0108872i \(-0.00346558\pi\)
\(608\) −13.3354 −0.540822
\(609\) 4.27185 0.238424i 0.173104 0.00966142i
\(610\) −11.2296 + 19.4502i −0.454672 + 0.787515i
\(611\) −4.69066 17.9478i −0.189764 0.726088i
\(612\) 5.20467 + 7.06227i 0.210386 + 0.285475i
\(613\) 20.1389 + 11.6272i 0.813402 + 0.469618i 0.848136 0.529779i \(-0.177725\pi\)
−0.0347336 + 0.999397i \(0.511058\pi\)
\(614\) 17.0046 + 29.4528i 0.686248 + 1.18862i
\(615\) −0.435284 7.79901i −0.0175524 0.314486i
\(616\) −4.68210 + 2.70321i −0.188647 + 0.108916i
\(617\) −35.8852 20.7183i −1.44468 0.834089i −0.446527 0.894770i \(-0.647339\pi\)
−0.998157 + 0.0606818i \(0.980673\pi\)
\(618\) −24.0280 36.7264i −0.966550 1.47735i
\(619\) −38.8879 22.4519i −1.56304 0.902419i −0.996947 0.0780753i \(-0.975123\pi\)
−0.566089 0.824344i \(-0.691544\pi\)
\(620\) −5.28184 9.14842i −0.212124 0.367409i
\(621\) 0.751048 + 4.44822i 0.0301385 + 0.178501i
\(622\) 26.3841 + 15.2328i 1.05790 + 0.610782i
\(623\) 8.77105 15.1919i 0.351405 0.608651i
\(624\) 20.8655 23.0447i 0.835289 0.922528i
\(625\) 9.44257 + 16.3550i 0.377703 + 0.654201i
\(626\) 25.3228i 1.01210i
\(627\) 11.9014 7.78646i 0.475298 0.310961i
\(628\) 7.58908 0.302837
\(629\) 23.5147i 0.937591i
\(630\) 1.12517 + 10.0485i 0.0448279 + 0.400340i
\(631\) −21.5239 + 12.4268i −0.856852 + 0.494704i −0.862957 0.505278i \(-0.831390\pi\)
0.00610493 + 0.999981i \(0.498057\pi\)
\(632\) −5.13735 2.96605i −0.204353 0.117983i
\(633\) 19.6319 + 9.91914i 0.780298 + 0.394250i
\(634\) 27.9598 1.11043
\(635\) 37.7437i 1.49781i
\(636\) 6.56763 4.29684i 0.260423 0.170381i
\(637\) −2.53374 2.56518i −0.100390 0.101636i
\(638\) 11.6292 0.460403
\(639\) −25.7310 11.2475i −1.01790 0.444943i
\(640\) −12.9300 + 22.3955i −0.511104 + 0.885259i
\(641\) −43.8503 −1.73198 −0.865991 0.500060i \(-0.833311\pi\)
−0.865991 + 0.500060i \(0.833311\pi\)
\(642\) 0.185351 0.366846i 0.00731522 0.0144782i
\(643\) −29.9017 17.2638i −1.17921 0.680816i −0.223377 0.974732i \(-0.571708\pi\)
−0.955831 + 0.293916i \(0.905041\pi\)
\(644\) −0.640289 0.369671i −0.0252309 0.0145671i
\(645\) 9.05027 0.505121i 0.356354 0.0198891i
\(646\) −17.0791 −0.671969
\(647\) −6.66984 + 11.5525i −0.262218 + 0.454175i −0.966831 0.255417i \(-0.917787\pi\)
0.704613 + 0.709592i \(0.251121\pi\)
\(648\) 16.6708 + 5.16748i 0.654893 + 0.202998i
\(649\) 34.9405 1.37154
\(650\) 4.40265 4.34869i 0.172686 0.170570i
\(651\) 0.599871 + 10.7479i 0.0235108 + 0.421244i
\(652\) 3.21985i 0.126099i
\(653\) 11.4725 0.448953 0.224476 0.974480i \(-0.427933\pi\)
0.224476 + 0.974480i \(0.427933\pi\)
\(654\) −0.789882 14.1524i −0.0308868 0.553401i
\(655\) −28.6054 16.5154i −1.11771 0.645308i
\(656\) 9.74088 5.62390i 0.380318 0.219576i
\(657\) 26.9508 19.8619i 1.05145 0.774886i
\(658\) 8.68821i 0.338702i
\(659\) 9.77713 0.380863 0.190432 0.981700i \(-0.439011\pi\)
0.190432 + 0.981700i \(0.439011\pi\)
\(660\) 0.457372 + 8.19475i 0.0178032 + 0.318980i
\(661\) 39.3586i 1.53087i 0.643513 + 0.765435i \(0.277476\pi\)
−0.643513 + 0.765435i \(0.722524\pi\)
\(662\) −24.8714 43.0786i −0.966655 1.67430i
\(663\) 14.3934 15.8966i 0.558992 0.617374i
\(664\) 11.3210 19.6085i 0.439339 0.760957i
\(665\) −5.09103 2.93931i −0.197422 0.113981i
\(666\) −20.5810 27.9266i −0.797499 1.08213i
\(667\) −1.07228 1.85725i −0.0415189 0.0719128i
\(668\) −5.09658 2.94251i −0.197193 0.113849i
\(669\) −22.4549 + 1.25327i −0.868155 + 0.0484541i
\(670\) −6.11451 3.53021i −0.236224 0.136384i
\(671\) 16.0884 9.28865i 0.621086 0.358584i
\(672\) −6.56239 + 4.29341i −0.253150 + 0.165622i
\(673\) 8.30325 + 14.3817i 0.320067 + 0.554372i 0.980502 0.196511i \(-0.0629613\pi\)
−0.660435 + 0.750884i \(0.729628\pi\)
\(674\) −13.2939 7.67524i −0.512062 0.295639i
\(675\) 4.94946 + 1.84230i 0.190505 + 0.0709103i
\(676\) 9.51863 + 5.65324i 0.366101 + 0.217432i
\(677\) −11.8222 + 20.4766i −0.454364 + 0.786981i −0.998651 0.0519177i \(-0.983467\pi\)
0.544288 + 0.838899i \(0.316800\pi\)
\(678\) 9.70020 19.1986i 0.372534 0.737317i
\(679\) 6.73005 0.258276
\(680\) −6.64557 + 11.5105i −0.254846 + 0.441406i
\(681\) −13.6070 + 26.9309i −0.521422 + 1.03199i
\(682\) 29.2588i 1.12038i
\(683\) −21.0903 + 12.1765i −0.806999 + 0.465921i −0.845912 0.533322i \(-0.820944\pi\)
0.0389139 + 0.999243i \(0.487610\pi\)
\(684\) 6.05750 4.46419i 0.231614 0.170692i
\(685\) −13.6225 23.5949i −0.520490 0.901514i
\(686\) 0.844334 + 1.46243i 0.0322368 + 0.0558358i
\(687\) 35.2500 1.96740i 1.34487 0.0750610i
\(688\) 6.52619 + 11.3037i 0.248809 + 0.430949i
\(689\) −13.4816 13.6489i −0.513609 0.519983i
\(690\) 4.24115 2.77475i 0.161458 0.105633i
\(691\) 30.3860 17.5434i 1.15594 0.667381i 0.205611 0.978634i \(-0.434082\pi\)
0.950327 + 0.311252i \(0.100748\pi\)
\(692\) 1.06663 1.84745i 0.0405471 0.0702296i
\(693\) 3.34984 7.66348i 0.127250 0.291112i
\(694\) 33.4367i 1.26924i
\(695\) 13.0527i 0.495116i
\(696\) −8.28423 + 0.462366i −0.314013 + 0.0175259i
\(697\) 6.71941 3.87946i 0.254516 0.146945i
\(698\) 4.17860 7.23755i 0.158162 0.273945i
\(699\) −13.9933 7.07019i −0.529274 0.267419i
\(700\) −0.749583 + 0.432772i −0.0283316 + 0.0163572i
\(701\) −37.8901 −1.43109 −0.715544 0.698567i \(-0.753821\pi\)
−0.715544 + 0.698567i \(0.753821\pi\)
\(702\) −3.18052 + 31.4769i −0.120041 + 1.18802i
\(703\) 20.1692 0.760694
\(704\) 5.57789 3.22040i 0.210225 0.121373i
\(705\) −15.8750 8.02097i −0.597889 0.302087i
\(706\) 4.99265 8.64753i 0.187901 0.325454i
\(707\) −14.2136 + 8.20621i −0.534557 + 0.308626i
\(708\) 18.4577 1.03018i 0.693684 0.0387164i
\(709\) 20.8971i 0.784808i 0.919793 + 0.392404i \(0.128356\pi\)
−0.919793 + 0.392404i \(0.871644\pi\)
\(710\) 31.5492i 1.18402i
\(711\) 9.11985 1.02119i 0.342021 0.0382976i
\(712\) −17.0094 + 29.4611i −0.637453 + 1.10410i
\(713\) 4.67281 2.69785i 0.174998 0.101035i
\(714\) −8.40469 + 5.49873i −0.314537 + 0.205785i
\(715\) 19.4105 5.07296i 0.725913 0.189718i
\(716\) −2.76726 4.79304i −0.103417 0.179124i
\(717\) 3.26882 0.182442i 0.122076 0.00681342i
\(718\) 10.9281 + 18.9280i 0.407833 + 0.706387i
\(719\) 19.3354 + 33.4899i 0.721089 + 1.24896i 0.960564 + 0.278060i \(0.0896915\pi\)
−0.239475 + 0.970903i \(0.576975\pi\)
\(720\) −3.31686 29.6216i −0.123612 1.10393i
\(721\) 12.9949 7.50261i 0.483956 0.279412i
\(722\) 17.4355i 0.648881i
\(723\) −5.69877 + 11.2790i −0.211939 + 0.419469i
\(724\) 1.35944 2.35461i 0.0505231 0.0875086i
\(725\) −2.51063 −0.0932424
\(726\) −4.25740 + 8.42622i −0.158007 + 0.312726i
\(727\) −25.6431 + 44.4151i −0.951049 + 1.64726i −0.207887 + 0.978153i \(0.566659\pi\)
−0.743162 + 0.669112i \(0.766675\pi\)
\(728\) 4.91359 + 4.97456i 0.182110 + 0.184370i
\(729\) −25.5033 + 8.86477i −0.944565 + 0.328325i
\(730\) −32.5736 18.8063i −1.20560 0.696054i
\(731\) 4.50187 + 7.79746i 0.166508 + 0.288400i
\(732\) 8.22502 5.38118i 0.304005 0.198894i
\(733\) 41.6331 24.0369i 1.53775 0.887822i 0.538783 0.842444i \(-0.318884\pi\)
0.998970 0.0453780i \(-0.0144492\pi\)
\(734\) 17.6414 + 10.1853i 0.651158 + 0.375946i
\(735\) −3.45163 + 0.192645i −0.127315 + 0.00710583i
\(736\) 3.40416 + 1.96539i 0.125479 + 0.0724454i
\(737\) 2.92005 + 5.05768i 0.107561 + 0.186302i
\(738\) −4.58468 + 10.4885i −0.168765 + 0.386085i
\(739\) 14.7473 + 8.51437i 0.542489 + 0.313206i 0.746087 0.665849i \(-0.231930\pi\)
−0.203598 + 0.979055i \(0.565264\pi\)
\(740\) −5.81968 + 10.0800i −0.213936 + 0.370548i
\(741\) −13.6350 12.3456i −0.500893 0.453526i
\(742\) 4.49257 + 7.78136i 0.164927 + 0.285663i
\(743\) 33.9033i 1.24379i 0.783100 + 0.621896i \(0.213637\pi\)
−0.783100 + 0.621896i \(0.786363\pi\)
\(744\) −1.16331 20.8430i −0.0426489 0.764143i
\(745\) 26.6333 0.975769
\(746\) 29.1668i 1.06787i
\(747\) 3.89773 + 34.8091i 0.142610 + 1.27360i
\(748\) −7.06037 + 4.07631i −0.258153 + 0.149045i
\(749\) 0.121697 + 0.0702618i 0.00444671 + 0.00256731i
\(750\) −1.95721 35.0674i −0.0714672 1.28048i
\(751\) 15.6334 0.570471 0.285235 0.958457i \(-0.407928\pi\)
0.285235 + 0.958457i \(0.407928\pi\)
\(752\) 25.6117i 0.933964i
\(753\) −0.819192 14.6775i −0.0298530 0.534877i
\(754\) −3.80297 14.5512i −0.138496 0.529924i
\(755\) 19.8727 0.723243
\(756\) 1.54364 4.14708i 0.0561417 0.150828i
\(757\) −22.2713 + 38.5750i −0.809465 + 1.40203i 0.103771 + 0.994601i \(0.466909\pi\)
−0.913235 + 0.407433i \(0.866424\pi\)
\(758\) 4.62971 0.168159
\(759\) −4.18569 + 0.233615i −0.151931 + 0.00847969i
\(760\) 9.87284 + 5.70008i 0.358125 + 0.206764i
\(761\) 45.8016 + 26.4436i 1.66031 + 0.958578i 0.972568 + 0.232619i \(0.0747296\pi\)
0.687738 + 0.725959i \(0.258604\pi\)
\(762\) −24.9431 + 49.3673i −0.903595 + 1.78839i
\(763\) 4.84617 0.175443
\(764\) 0.600672 1.04039i 0.0217315 0.0376401i
\(765\) −2.28802 20.4334i −0.0827235 0.738772i
\(766\) 29.2127 1.05550
\(767\) −11.4263 43.7200i −0.412578 1.57864i
\(768\) 25.0150 16.3660i 0.902653 0.590556i
\(769\) 30.4285i 1.09728i 0.836059 + 0.548639i \(0.184854\pi\)
−0.836059 + 0.548639i \(0.815146\pi\)
\(770\) −9.39632 −0.338620
\(771\) 22.9022 + 11.5715i 0.824804 + 0.416737i
\(772\) 15.3753 + 8.87693i 0.553369 + 0.319488i
\(773\) 16.8613 9.73487i 0.606458 0.350139i −0.165120 0.986274i \(-0.552801\pi\)
0.771578 + 0.636135i \(0.219468\pi\)
\(774\) −12.1712 5.32024i −0.437485 0.191232i
\(775\) 6.31671i 0.226903i
\(776\) −13.0513