Properties

Label 280.2.ba.b.19.13
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.13
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.881474 + 1.10590i) q^{2} +(-1.13535 - 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(1.70095 - 1.45147i) q^{5} +(3.17551 + 0.477826i) q^{6} +(-0.551936 + 2.58754i) q^{7} +(2.54924 + 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +O(q^{10})\) \(q+(-0.881474 + 1.10590i) q^{2} +(-1.13535 - 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(1.70095 - 1.45147i) q^{5} +(3.17551 + 0.477826i) q^{6} +(-0.551936 + 2.58754i) q^{7} +(2.54924 + 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +(0.105836 + 3.16051i) q^{10} +(-0.454564 - 0.787328i) q^{11} +(-3.32755 + 3.09059i) q^{12} -5.66349i q^{13} +(-2.37503 - 2.89123i) q^{14} +(-4.78547 - 1.69696i) q^{15} +(-3.60215 + 1.73911i) q^{16} +(-3.14931 - 5.45476i) q^{17} +(-1.11469 - 2.83811i) q^{18} +(-0.966292 - 0.557889i) q^{19} +(-3.58848 - 2.66886i) q^{20} +(5.71500 - 1.85239i) q^{21} +(1.27139 + 0.191309i) q^{22} +(-1.14508 + 1.98334i) q^{23} +(-0.484714 - 6.40419i) q^{24} +(0.786450 - 4.93776i) q^{25} +(6.26323 + 4.99222i) q^{26} -1.91628 q^{27} +(5.29093 - 0.0779898i) q^{28} +6.21463i q^{29} +(6.09493 - 3.79641i) q^{30} +(-1.41914 - 2.45801i) q^{31} +(1.25194 - 5.51658i) q^{32} +(-1.03218 + 1.78779i) q^{33} +(8.80842 + 1.32542i) q^{34} +(2.81693 + 5.20239i) q^{35} +(4.12122 + 1.26899i) q^{36} +(0.789609 - 1.36764i) q^{37} +(1.46873 - 0.576853i) q^{38} +(-11.1372 + 6.43005i) q^{39} +(6.11463 - 1.61595i) q^{40} +0.163067i q^{41} +(-2.98907 + 7.95302i) q^{42} -8.29346i q^{43} +(-1.33226 + 1.23739i) q^{44} +(0.876531 + 4.74080i) q^{45} +(-1.18401 - 3.01460i) q^{46} +(8.56191 + 4.94322i) q^{47} +(7.50963 + 5.10909i) q^{48} +(-6.39073 - 2.85631i) q^{49} +(4.76741 + 5.22224i) q^{50} +(-7.15113 + 12.3861i) q^{51} +(-11.0417 + 2.52596i) q^{52} +(2.56505 + 4.44280i) q^{53} +(1.68916 - 2.11921i) q^{54} +(-1.91598 - 0.679417i) q^{55} +(-4.57757 + 5.91996i) q^{56} +2.53360i q^{57} +(-6.87273 - 5.47803i) q^{58} +(9.97768 - 5.76061i) q^{59} +(-1.17409 + 10.0868i) q^{60} +(0.977217 - 1.69259i) q^{61} +(3.96924 + 0.597261i) q^{62} +(-4.23650 - 3.82006i) q^{63} +(4.99721 + 6.24723i) q^{64} +(-8.22041 - 9.63331i) q^{65} +(-1.06727 - 2.71737i) q^{66} +(6.09472 - 3.51879i) q^{67} +(-9.23017 + 8.57286i) q^{68} +5.20028 q^{69} +(-8.23635 - 1.47054i) q^{70} -0.811490i q^{71} +(-5.03612 + 3.43905i) q^{72} +(4.54031 + 7.86404i) q^{73} +(0.816449 + 2.07877i) q^{74} +(-10.6029 + 4.05955i) q^{75} +(-0.656706 + 2.13274i) q^{76} +(2.28813 - 0.741649i) q^{77} +(2.70617 - 17.9845i) q^{78} +(-9.82237 - 5.67095i) q^{79} +(-3.60281 + 8.18656i) q^{80} +(5.40978 + 9.37001i) q^{81} +(-0.180335 - 0.143739i) q^{82} -7.80839 q^{83} +(-6.16042 - 10.3160i) q^{84} +(-13.2742 - 4.70713i) q^{85} +(9.17169 + 7.31047i) q^{86} +(12.2210 - 7.05578i) q^{87} +(-0.194067 - 2.56407i) q^{88} +(12.4104 + 7.16517i) q^{89} +(-6.01546 - 3.20954i) q^{90} +(14.6545 + 3.12589i) q^{91} +(4.37750 + 1.34791i) q^{92} +(-3.22243 + 5.58142i) q^{93} +(-13.0138 + 5.11125i) q^{94} +(-2.45337 + 0.453607i) q^{95} +(-12.2697 + 3.80134i) q^{96} +9.99774 q^{97} +(8.79205 - 4.54972i) q^{98} +1.96016 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.881474 + 1.10590i −0.623296 + 0.781986i
\(3\) −1.13535 1.96648i −0.655495 1.13535i −0.981769 0.190075i \(-0.939127\pi\)
0.326275 0.945275i \(-0.394207\pi\)
\(4\) −0.446008 1.94964i −0.223004 0.974818i
\(5\) 1.70095 1.45147i 0.760687 0.649119i
\(6\) 3.17551 + 0.477826i 1.29640 + 0.195072i
\(7\) −0.551936 + 2.58754i −0.208612 + 0.977998i
\(8\) 2.54924 + 1.22531i 0.901291 + 0.433214i
\(9\) −1.07804 + 1.86722i −0.359347 + 0.622407i
\(10\) 0.105836 + 3.16051i 0.0334683 + 0.999440i
\(11\) −0.454564 0.787328i −0.137056 0.237388i 0.789325 0.613976i \(-0.210431\pi\)
−0.926381 + 0.376587i \(0.877097\pi\)
\(12\) −3.32755 + 3.09059i −0.960582 + 0.892175i
\(13\) 5.66349i 1.57077i −0.619007 0.785385i \(-0.712465\pi\)
0.619007 0.785385i \(-0.287535\pi\)
\(14\) −2.37503 2.89123i −0.634754 0.772714i
\(15\) −4.78547 1.69696i −1.23560 0.438153i
\(16\) −3.60215 + 1.73911i −0.900538 + 0.434776i
\(17\) −3.14931 5.45476i −0.763819 1.32297i −0.940869 0.338771i \(-0.889989\pi\)
0.177050 0.984202i \(-0.443345\pi\)
\(18\) −1.11469 2.83811i −0.262734 0.668948i
\(19\) −0.966292 0.557889i −0.221683 0.127989i 0.385047 0.922897i \(-0.374185\pi\)
−0.606729 + 0.794909i \(0.707519\pi\)
\(20\) −3.58848 2.66886i −0.802408 0.596775i
\(21\) 5.71500 1.85239i 1.24712 0.404225i
\(22\) 1.27139 + 0.191309i 0.271061 + 0.0407872i
\(23\) −1.14508 + 1.98334i −0.238766 + 0.413555i −0.960360 0.278761i \(-0.910076\pi\)
0.721594 + 0.692316i \(0.243410\pi\)
\(24\) −0.484714 6.40419i −0.0989419 1.30725i
\(25\) 0.786450 4.93776i 0.157290 0.987552i
\(26\) 6.26323 + 4.99222i 1.22832 + 0.979055i
\(27\) −1.91628 −0.368789
\(28\) 5.29093 0.0779898i 0.999891 0.0147387i
\(29\) 6.21463i 1.15403i 0.816734 + 0.577014i \(0.195782\pi\)
−0.816734 + 0.577014i \(0.804218\pi\)
\(30\) 6.09493 3.79641i 1.11278 0.693126i
\(31\) −1.41914 2.45801i −0.254884 0.441472i 0.709980 0.704222i \(-0.248704\pi\)
−0.964864 + 0.262750i \(0.915371\pi\)
\(32\) 1.25194 5.51658i 0.221313 0.975203i
\(33\) −1.03218 + 1.78779i −0.179679 + 0.311214i
\(34\) 8.80842 + 1.32542i 1.51063 + 0.227308i
\(35\) 2.81693 + 5.20239i 0.476148 + 0.879365i
\(36\) 4.12122 + 1.26899i 0.686869 + 0.211499i
\(37\) 0.789609 1.36764i 0.129811 0.224839i −0.793792 0.608189i \(-0.791896\pi\)
0.923603 + 0.383350i \(0.125230\pi\)
\(38\) 1.46873 0.576853i 0.238259 0.0935779i
\(39\) −11.1372 + 6.43005i −1.78337 + 1.02963i
\(40\) 6.11463 1.61595i 0.966808 0.255504i
\(41\) 0.163067i 0.0254668i 0.999919 + 0.0127334i \(0.00405327\pi\)
−0.999919 + 0.0127334i \(0.995947\pi\)
\(42\) −2.98907 + 7.95302i −0.461224 + 1.22718i
\(43\) 8.29346i 1.26474i −0.774666 0.632370i \(-0.782082\pi\)
0.774666 0.632370i \(-0.217918\pi\)
\(44\) −1.33226 + 1.23739i −0.200846 + 0.186543i
\(45\) 0.876531 + 4.74080i 0.130666 + 0.706716i
\(46\) −1.18401 3.01460i −0.174572 0.444479i
\(47\) 8.56191 + 4.94322i 1.24888 + 0.721043i 0.970887 0.239540i \(-0.0769965\pi\)
0.277996 + 0.960582i \(0.410330\pi\)
\(48\) 7.50963 + 5.10909i 1.08392 + 0.737433i
\(49\) −6.39073 2.85631i −0.912962 0.408045i
\(50\) 4.76741 + 5.22224i 0.674214 + 0.738536i
\(51\) −7.15113 + 12.3861i −1.00136 + 1.73440i
\(52\) −11.0417 + 2.52596i −1.53121 + 0.350288i
\(53\) 2.56505 + 4.44280i 0.352337 + 0.610266i 0.986659 0.162803i \(-0.0520537\pi\)
−0.634321 + 0.773070i \(0.718720\pi\)
\(54\) 1.68916 2.11921i 0.229865 0.288388i
\(55\) −1.91598 0.679417i −0.258350 0.0916125i
\(56\) −4.57757 + 5.91996i −0.611703 + 0.791088i
\(57\) 2.53360i 0.335583i
\(58\) −6.87273 5.47803i −0.902433 0.719301i
\(59\) 9.97768 5.76061i 1.29898 0.749968i 0.318754 0.947837i \(-0.396736\pi\)
0.980228 + 0.197869i \(0.0634022\pi\)
\(60\) −1.17409 + 10.0868i −0.151574 + 1.30220i
\(61\) 0.977217 1.69259i 0.125120 0.216714i −0.796660 0.604428i \(-0.793402\pi\)
0.921780 + 0.387714i \(0.126735\pi\)
\(62\) 3.96924 + 0.597261i 0.504094 + 0.0758522i
\(63\) −4.23650 3.82006i −0.533749 0.481283i
\(64\) 4.99721 + 6.24723i 0.624651 + 0.780904i
\(65\) −8.22041 9.63331i −1.01962 1.19487i
\(66\) −1.06727 2.71737i −0.131371 0.334485i
\(67\) 6.09472 3.51879i 0.744589 0.429889i −0.0791464 0.996863i \(-0.525219\pi\)
0.823735 + 0.566974i \(0.191886\pi\)
\(68\) −9.23017 + 8.57286i −1.11932 + 1.03961i
\(69\) 5.20028 0.626040
\(70\) −8.23635 1.47054i −0.984432 0.175763i
\(71\) 0.811490i 0.0963061i −0.998840 0.0481531i \(-0.984666\pi\)
0.998840 0.0481531i \(-0.0153335\pi\)
\(72\) −5.03612 + 3.43905i −0.593512 + 0.405296i
\(73\) 4.54031 + 7.86404i 0.531403 + 0.920417i 0.999328 + 0.0366487i \(0.0116682\pi\)
−0.467925 + 0.883768i \(0.654998\pi\)
\(74\) 0.816449 + 2.07877i 0.0949103 + 0.241652i
\(75\) −10.6029 + 4.05955i −1.22432 + 0.468756i
\(76\) −0.656706 + 2.13274i −0.0753294 + 0.244642i
\(77\) 2.28813 0.741649i 0.260757 0.0845187i
\(78\) 2.70617 17.9845i 0.306413 2.03634i
\(79\) −9.82237 5.67095i −1.10510 0.638031i −0.167546 0.985864i \(-0.553584\pi\)
−0.937557 + 0.347833i \(0.886918\pi\)
\(80\) −3.60281 + 8.18656i −0.402807 + 0.915285i
\(81\) 5.40978 + 9.37001i 0.601086 + 1.04111i
\(82\) −0.180335 0.143739i −0.0199147 0.0158733i
\(83\) −7.80839 −0.857082 −0.428541 0.903522i \(-0.640972\pi\)
−0.428541 + 0.903522i \(0.640972\pi\)
\(84\) −6.16042 10.3160i −0.672157 1.12557i
\(85\) −13.2742 4.70713i −1.43979 0.510560i
\(86\) 9.17169 + 7.31047i 0.989009 + 0.788308i
\(87\) 12.2210 7.05578i 1.31023 0.756459i
\(88\) −0.194067 2.56407i −0.0206876 0.273331i
\(89\) 12.4104 + 7.16517i 1.31550 + 0.759506i 0.983002 0.183597i \(-0.0587740\pi\)
0.332502 + 0.943103i \(0.392107\pi\)
\(90\) −6.01546 3.20954i −0.634085 0.338315i
\(91\) 14.6545 + 3.12589i 1.53621 + 0.327682i
\(92\) 4.37750 + 1.34791i 0.456386 + 0.140529i
\(93\) −3.22243 + 5.58142i −0.334151 + 0.578766i
\(94\) −13.0138 + 5.11125i −1.34227 + 0.527185i
\(95\) −2.45337 + 0.453607i −0.251711 + 0.0465391i
\(96\) −12.2697 + 3.80134i −1.25227 + 0.387972i
\(97\) 9.99774 1.01512 0.507558 0.861618i \(-0.330548\pi\)
0.507558 + 0.861618i \(0.330548\pi\)
\(98\) 8.79205 4.54972i 0.888131 0.459591i
\(99\) 1.96016 0.197003
\(100\) −9.97760 + 0.668991i −0.997760 + 0.0668991i
\(101\) 8.69267 + 15.0562i 0.864953 + 1.49814i 0.867093 + 0.498146i \(0.165985\pi\)
−0.00214005 + 0.999998i \(0.500681\pi\)
\(102\) −7.39422 18.8264i −0.732137 1.86410i
\(103\) −1.56602 0.904144i −0.154305 0.0890880i 0.420859 0.907126i \(-0.361729\pi\)
−0.575164 + 0.818038i \(0.695062\pi\)
\(104\) 6.93956 14.4376i 0.680480 1.41572i
\(105\) 7.03222 11.4460i 0.686274 1.11701i
\(106\) −7.17430 1.07953i −0.696830 0.104854i
\(107\) 3.08558 + 1.78146i 0.298294 + 0.172220i 0.641676 0.766976i \(-0.278239\pi\)
−0.343382 + 0.939196i \(0.611573\pi\)
\(108\) 0.854678 + 3.73606i 0.0822414 + 0.359502i
\(109\) 1.72947 0.998508i 0.165653 0.0956398i −0.414882 0.909875i \(-0.636177\pi\)
0.580534 + 0.814236i \(0.302844\pi\)
\(110\) 2.44025 1.51998i 0.232668 0.144924i
\(111\) −3.58593 −0.340361
\(112\) −2.51185 10.2806i −0.237347 0.971425i
\(113\) 13.5251i 1.27234i 0.771551 + 0.636168i \(0.219481\pi\)
−0.771551 + 0.636168i \(0.780519\pi\)
\(114\) −2.80189 2.23330i −0.262421 0.209168i
\(115\) 0.931040 + 5.03561i 0.0868199 + 0.469573i
\(116\) 12.1163 2.77177i 1.12497 0.257353i
\(117\) 10.5750 + 6.10548i 0.977659 + 0.564452i
\(118\) −2.42443 + 16.1121i −0.223186 + 1.48324i
\(119\) 15.8526 5.13828i 1.45321 0.471025i
\(120\) −10.1200 10.1897i −0.923825 0.930184i
\(121\) 5.08674 8.81050i 0.462431 0.800954i
\(122\) 1.01044 + 2.57267i 0.0914805 + 0.232919i
\(123\) 0.320669 0.185138i 0.0289137 0.0166933i
\(124\) −4.15929 + 3.86309i −0.373515 + 0.346916i
\(125\) −5.82932 9.54039i −0.521390 0.853318i
\(126\) 7.95895 1.31784i 0.709040 0.117403i
\(127\) −1.34956 −0.119754 −0.0598772 0.998206i \(-0.519071\pi\)
−0.0598772 + 0.998206i \(0.519071\pi\)
\(128\) −11.3137 + 0.0196185i −0.999998 + 0.00173404i
\(129\) −16.3090 + 9.41598i −1.43592 + 0.829031i
\(130\) 17.8995 0.599401i 1.56989 0.0525710i
\(131\) −7.08950 4.09312i −0.619412 0.357618i 0.157228 0.987562i \(-0.449744\pi\)
−0.776640 + 0.629944i \(0.783078\pi\)
\(132\) 3.94589 + 1.21501i 0.343446 + 0.105753i
\(133\) 1.97689 2.19240i 0.171418 0.190105i
\(134\) −1.48093 + 9.84185i −0.127933 + 0.850206i
\(135\) −3.25950 + 2.78144i −0.280533 + 0.239388i
\(136\) −1.34453 17.7644i −0.115293 1.52328i
\(137\) 4.43159 2.55858i 0.378616 0.218594i −0.298600 0.954378i \(-0.596520\pi\)
0.677216 + 0.735784i \(0.263186\pi\)
\(138\) −4.58391 + 5.75096i −0.390208 + 0.489554i
\(139\) 17.9166i 1.51967i −0.650117 0.759834i \(-0.725280\pi\)
0.650117 0.759834i \(-0.274720\pi\)
\(140\) 8.88639 7.81230i 0.751037 0.660260i
\(141\) 22.4491i 1.89056i
\(142\) 0.897422 + 0.715307i 0.0753100 + 0.0600272i
\(143\) −4.45903 + 2.57442i −0.372883 + 0.215284i
\(144\) 0.635975 8.60085i 0.0529979 0.716737i
\(145\) 9.02037 + 10.5708i 0.749101 + 0.877854i
\(146\) −12.6990 1.91084i −1.05097 0.158143i
\(147\) 1.63883 + 15.8102i 0.135168 + 1.30400i
\(148\) −3.01857 0.929469i −0.248125 0.0764019i
\(149\) −6.16993 3.56221i −0.505460 0.291827i 0.225505 0.974242i \(-0.427597\pi\)
−0.730965 + 0.682414i \(0.760930\pi\)
\(150\) 4.85677 15.3041i 0.396554 1.24958i
\(151\) 2.46560 1.42352i 0.200648 0.115844i −0.396310 0.918117i \(-0.629709\pi\)
0.596958 + 0.802273i \(0.296376\pi\)
\(152\) −1.77972 2.60620i −0.144354 0.211391i
\(153\) 13.5803 1.09790
\(154\) −1.19674 + 3.18418i −0.0964365 + 0.256589i
\(155\) −5.98162 2.12112i −0.480455 0.170372i
\(156\) 17.5035 + 18.8456i 1.40140 + 1.50885i
\(157\) 11.4030 6.58353i 0.910059 0.525423i 0.0296091 0.999562i \(-0.490574\pi\)
0.880450 + 0.474139i \(0.157240\pi\)
\(158\) 14.9296 5.86372i 1.18774 0.466492i
\(159\) 5.82447 10.0883i 0.461911 0.800053i
\(160\) −5.87769 11.2006i −0.464672 0.885483i
\(161\) −4.49996 4.05762i −0.354647 0.319785i
\(162\) −15.1308 2.27677i −1.18879 0.178880i
\(163\) 14.9075 + 8.60684i 1.16764 + 0.674139i 0.953124 0.302580i \(-0.0978480\pi\)
0.214520 + 0.976720i \(0.431181\pi\)
\(164\) 0.317921 0.0727291i 0.0248255 0.00567919i
\(165\) 0.839242 + 4.53911i 0.0653349 + 0.353370i
\(166\) 6.88289 8.63526i 0.534216 0.670226i
\(167\) 0.285811i 0.0221167i 0.999939 + 0.0110584i \(0.00352006\pi\)
−0.999939 + 0.0110584i \(0.996480\pi\)
\(168\) 16.8386 + 2.28049i 1.29913 + 0.175943i
\(169\) −19.0752 −1.46732
\(170\) 16.9065 10.5307i 1.29667 0.807669i
\(171\) 2.08341 1.20285i 0.159322 0.0919846i
\(172\) −16.1692 + 3.69895i −1.23289 + 0.282042i
\(173\) −16.6842 9.63264i −1.26848 0.732356i −0.293778 0.955874i \(-0.594913\pi\)
−0.974700 + 0.223518i \(0.928246\pi\)
\(174\) −2.96951 + 19.7346i −0.225118 + 1.49608i
\(175\) 12.3426 + 4.76030i 0.933012 + 0.359845i
\(176\) 3.00666 + 2.04554i 0.226635 + 0.154189i
\(177\) −22.6563 13.0806i −1.70295 0.983200i
\(178\) −18.8634 + 7.40873i −1.41387 + 0.555308i
\(179\) 0.701703 + 1.21539i 0.0524478 + 0.0908422i 0.891057 0.453891i \(-0.149964\pi\)
−0.838610 + 0.544733i \(0.816631\pi\)
\(180\) 8.85188 3.82335i 0.659780 0.284975i
\(181\) −15.3818 −1.14332 −0.571660 0.820491i \(-0.693700\pi\)
−0.571660 + 0.820491i \(0.693700\pi\)
\(182\) −16.3745 + 13.4510i −1.21376 + 0.997053i
\(183\) −4.43794 −0.328062
\(184\) −5.34930 + 3.65292i −0.394356 + 0.269297i
\(185\) −0.642013 3.47238i −0.0472017 0.255295i
\(186\) −3.33197 8.48354i −0.244312 0.622044i
\(187\) −2.86312 + 4.95908i −0.209372 + 0.362644i
\(188\) 5.81880 18.8973i 0.424379 1.37823i
\(189\) 1.05767 4.95847i 0.0769339 0.360675i
\(190\) 1.66094 3.11302i 0.120497 0.225842i
\(191\) 19.4587 + 11.2345i 1.40798 + 0.812898i 0.995193 0.0979302i \(-0.0312222\pi\)
0.412787 + 0.910828i \(0.364556\pi\)
\(192\) 6.61150 16.9197i 0.477144 1.22108i
\(193\) −14.3435 + 8.28125i −1.03247 + 0.596097i −0.917691 0.397294i \(-0.869949\pi\)
−0.114779 + 0.993391i \(0.536616\pi\)
\(194\) −8.81274 + 11.0564i −0.632718 + 0.793807i
\(195\) −9.61071 + 27.1025i −0.688237 + 1.94085i
\(196\) −2.71845 + 13.7335i −0.194175 + 0.980967i
\(197\) 16.1344 1.14953 0.574765 0.818318i \(-0.305093\pi\)
0.574765 + 0.818318i \(0.305093\pi\)
\(198\) −1.72783 + 2.16773i −0.122791 + 0.154054i
\(199\) 10.9134 + 18.9025i 0.773629 + 1.33996i 0.935562 + 0.353163i \(0.114894\pi\)
−0.161933 + 0.986802i \(0.551773\pi\)
\(200\) 8.05516 11.6239i 0.569586 0.821932i
\(201\) −13.8393 7.99012i −0.976149 0.563580i
\(202\) −24.3129 3.65842i −1.71065 0.257405i
\(203\) −16.0806 3.43008i −1.12864 0.240744i
\(204\) 27.3379 + 8.41779i 1.91403 + 0.589363i
\(205\) 0.236687 + 0.277368i 0.0165310 + 0.0193723i
\(206\) 2.38030 0.934878i 0.165843 0.0651361i
\(207\) −2.46889 4.27624i −0.171600 0.297219i
\(208\) 9.84941 + 20.4008i 0.682934 + 1.41454i
\(209\) 1.01439i 0.0701665i
\(210\) 6.45935 + 17.8662i 0.445737 + 1.23289i
\(211\) −9.76612 −0.672328 −0.336164 0.941804i \(-0.609130\pi\)
−0.336164 + 0.941804i \(0.609130\pi\)
\(212\) 7.51781 6.98245i 0.516326 0.479556i
\(213\) −1.59578 + 0.921325i −0.109341 + 0.0631282i
\(214\) −4.68997 + 1.84202i −0.320599 + 0.125918i
\(215\) −12.0377 14.1067i −0.820967 0.962072i
\(216\) −4.88506 2.34805i −0.332386 0.159765i
\(217\) 7.14348 2.31540i 0.484931 0.157180i
\(218\) −0.420235 + 2.79277i −0.0284619 + 0.189150i
\(219\) 10.3097 17.8569i 0.696664 1.20666i
\(220\) −0.470074 + 4.03848i −0.0316924 + 0.272274i
\(221\) −30.8930 + 17.8361i −2.07809 + 1.19978i
\(222\) 3.16090 3.96566i 0.212146 0.266158i
\(223\) 17.6951i 1.18495i 0.805589 + 0.592474i \(0.201849\pi\)
−0.805589 + 0.592474i \(0.798151\pi\)
\(224\) 13.5834 + 6.28424i 0.907578 + 0.419883i
\(225\) 8.37207 + 6.79159i 0.558138 + 0.452772i
\(226\) −14.9574 11.9220i −0.994948 0.793042i
\(227\) −8.76537 15.1821i −0.581778 1.00767i −0.995269 0.0971611i \(-0.969024\pi\)
0.413490 0.910509i \(-0.364310\pi\)
\(228\) 4.93959 1.13000i 0.327132 0.0748364i
\(229\) 3.45967 5.99232i 0.228621 0.395984i −0.728778 0.684750i \(-0.759912\pi\)
0.957400 + 0.288766i \(0.0932449\pi\)
\(230\) −6.38955 3.40913i −0.421314 0.224791i
\(231\) −4.05627 3.65755i −0.266883 0.240649i
\(232\) −7.61487 + 15.8426i −0.499941 + 1.04011i
\(233\) 3.78953 + 2.18788i 0.248260 + 0.143333i 0.618967 0.785417i \(-0.287551\pi\)
−0.370707 + 0.928750i \(0.620885\pi\)
\(234\) −16.0736 + 6.31302i −1.05076 + 0.412695i
\(235\) 21.7383 4.01922i 1.41805 0.262185i
\(236\) −15.6812 16.8835i −1.02076 1.09903i
\(237\) 25.7540i 1.67291i
\(238\) −8.29127 + 22.0606i −0.537443 + 1.42998i
\(239\) 14.1535i 0.915511i −0.889078 0.457756i \(-0.848653\pi\)
0.889078 0.457756i \(-0.151347\pi\)
\(240\) 20.1892 2.20974i 1.30321 0.142638i
\(241\) 13.4126 7.74379i 0.863984 0.498821i −0.00136057 0.999999i \(-0.500433\pi\)
0.865344 + 0.501178i \(0.167100\pi\)
\(242\) 5.25965 + 13.3916i 0.338103 + 0.860846i
\(243\) 9.40956 16.2978i 0.603624 1.04551i
\(244\) −3.73578 1.15031i −0.239159 0.0736410i
\(245\) −15.0162 + 4.41754i −0.959348 + 0.282226i
\(246\) −0.0779177 + 0.517820i −0.00496785 + 0.0330150i
\(247\) −3.15960 + 5.47259i −0.201041 + 0.348213i
\(248\) −0.605870 8.00495i −0.0384728 0.508315i
\(249\) 8.86526 + 15.3551i 0.561813 + 0.973088i
\(250\) 15.6891 + 1.96299i 0.992263 + 0.124150i
\(251\) 6.13020i 0.386935i 0.981107 + 0.193467i \(0.0619734\pi\)
−0.981107 + 0.193467i \(0.938027\pi\)
\(252\) −5.55821 + 9.96341i −0.350135 + 0.627636i
\(253\) 2.08205 0.130898
\(254\) 1.18961 1.49248i 0.0746425 0.0936463i
\(255\) 5.81442 + 31.4478i 0.364113 + 1.96934i
\(256\) 9.95103 12.5290i 0.621939 0.783066i
\(257\) −3.21050 + 5.56075i −0.200266 + 0.346870i −0.948614 0.316436i \(-0.897514\pi\)
0.748348 + 0.663306i \(0.230847\pi\)
\(258\) 3.96283 26.3359i 0.246715 1.63960i
\(259\) 3.10302 + 2.79800i 0.192812 + 0.173859i
\(260\) −15.1151 + 20.3233i −0.937397 + 1.26040i
\(261\) −11.6041 6.69962i −0.718275 0.414696i
\(262\) 10.7758 4.23226i 0.665729 0.261470i
\(263\) 3.23009 + 5.59468i 0.199176 + 0.344983i 0.948261 0.317491i \(-0.102840\pi\)
−0.749086 + 0.662473i \(0.769507\pi\)
\(264\) −4.82187 + 3.29275i −0.296766 + 0.202655i
\(265\) 10.8116 + 3.83387i 0.664154 + 0.235513i
\(266\) 0.681987 + 4.11878i 0.0418153 + 0.252539i
\(267\) 32.5399i 1.99141i
\(268\) −9.57865 10.3131i −0.585109 0.629972i
\(269\) −0.755340 1.30829i −0.0460539 0.0797677i 0.842080 0.539353i \(-0.181331\pi\)
−0.888133 + 0.459586i \(0.847998\pi\)
\(270\) −0.202812 6.05643i −0.0123427 0.368583i
\(271\) −8.66274 + 15.0043i −0.526224 + 0.911447i 0.473309 + 0.880896i \(0.343059\pi\)
−0.999533 + 0.0305504i \(0.990274\pi\)
\(272\) 20.8307 + 14.1719i 1.26305 + 0.859298i
\(273\) −10.4910 32.3669i −0.634945 1.95893i
\(274\) −1.07681 + 7.15619i −0.0650524 + 0.432321i
\(275\) −4.24513 + 1.62534i −0.255991 + 0.0980114i
\(276\) −2.31936 10.1386i −0.139609 0.610274i
\(277\) −5.77685 10.0058i −0.347097 0.601190i 0.638635 0.769510i \(-0.279499\pi\)
−0.985733 + 0.168319i \(0.946166\pi\)
\(278\) 19.8139 + 15.7930i 1.18836 + 0.947203i
\(279\) 6.11954 0.366368
\(280\) 0.806458 + 16.7138i 0.0481951 + 0.998838i
\(281\) 16.6526 0.993408 0.496704 0.867920i \(-0.334543\pi\)
0.496704 + 0.867920i \(0.334543\pi\)
\(282\) 24.8264 + 19.7883i 1.47839 + 1.17838i
\(283\) 11.3769 + 19.7053i 0.676285 + 1.17136i 0.976091 + 0.217360i \(0.0697447\pi\)
−0.299806 + 0.954000i \(0.596922\pi\)
\(284\) −1.58211 + 0.361931i −0.0938809 + 0.0214766i
\(285\) 3.67745 + 4.30952i 0.217833 + 0.255274i
\(286\) 1.08348 7.20050i 0.0640673 0.425775i
\(287\) −0.421942 0.0900025i −0.0249065 0.00531268i
\(288\) 8.95104 + 8.28474i 0.527445 + 0.488183i
\(289\) −11.3363 + 19.6350i −0.666839 + 1.15500i
\(290\) −19.6414 + 0.657731i −1.15338 + 0.0386233i
\(291\) −11.3509 19.6604i −0.665404 1.15251i
\(292\) 13.3070 12.3594i 0.778733 0.723277i
\(293\) 8.66311i 0.506104i 0.967453 + 0.253052i \(0.0814344\pi\)
−0.967453 + 0.253052i \(0.918566\pi\)
\(294\) −18.9290 12.1239i −1.10396 0.707080i
\(295\) 8.61013 24.2808i 0.501301 1.41368i
\(296\) 3.68869 2.51892i 0.214401 0.146409i
\(297\) 0.871075 + 1.50875i 0.0505449 + 0.0875463i
\(298\) 9.37806 3.68330i 0.543256 0.213368i
\(299\) 11.2326 + 6.48516i 0.649600 + 0.375047i
\(300\) 12.6436 + 18.8613i 0.729980 + 1.08895i
\(301\) 21.4597 + 4.57746i 1.23691 + 0.263840i
\(302\) −0.599105 + 3.98149i −0.0344746 + 0.229109i
\(303\) 19.7385 34.1880i 1.13395 1.96405i
\(304\) 4.45096 + 0.329119i 0.255280 + 0.0188762i
\(305\) −0.794553 4.29741i −0.0454960 0.246069i
\(306\) −11.9707 + 15.0184i −0.684319 + 0.858546i
\(307\) −11.6862 −0.666967 −0.333484 0.942756i \(-0.608224\pi\)
−0.333484 + 0.942756i \(0.608224\pi\)
\(308\) −2.46647 4.13025i −0.140540 0.235343i
\(309\) 4.10608i 0.233587i
\(310\) 7.61837 4.74533i 0.432695 0.269517i
\(311\) −5.66670 9.81500i −0.321329 0.556558i 0.659434 0.751763i \(-0.270796\pi\)
−0.980762 + 0.195205i \(0.937463\pi\)
\(312\) −36.2701 + 2.74518i −2.05339 + 0.155415i
\(313\) 12.7012 21.9992i 0.717916 1.24347i −0.243908 0.969798i \(-0.578430\pi\)
0.961824 0.273668i \(-0.0882370\pi\)
\(314\) −2.77076 + 18.4137i −0.156363 + 1.03915i
\(315\) −12.7508 0.348556i −0.718426 0.0196389i
\(316\) −6.67542 + 21.6793i −0.375522 + 1.21956i
\(317\) −11.9131 + 20.6342i −0.669109 + 1.15893i 0.309045 + 0.951048i \(0.399991\pi\)
−0.978154 + 0.207883i \(0.933343\pi\)
\(318\) 6.02246 + 15.3338i 0.337723 + 0.859877i
\(319\) 4.89295 2.82495i 0.273953 0.158167i
\(320\) 17.5677 + 3.37290i 0.982063 + 0.188551i
\(321\) 8.09033i 0.451558i
\(322\) 8.45390 1.39980i 0.471118 0.0780076i
\(323\) 7.02785i 0.391040i
\(324\) 15.8553 14.7262i 0.880850 0.818122i
\(325\) −27.9650 4.45405i −1.55122 0.247066i
\(326\) −22.6588 + 8.89941i −1.25496 + 0.492893i
\(327\) −3.92710 2.26731i −0.217169 0.125383i
\(328\) −0.199808 + 0.415696i −0.0110326 + 0.0229530i
\(329\) −17.5164 + 19.4259i −0.965711 + 1.07099i
\(330\) −5.75955 3.07300i −0.317053 0.169163i
\(331\) −2.35173 + 4.07331i −0.129263 + 0.223889i −0.923391 0.383861i \(-0.874594\pi\)
0.794129 + 0.607750i \(0.207928\pi\)
\(332\) 3.48260 + 15.2235i 0.191133 + 0.835498i
\(333\) 1.70246 + 2.94875i 0.0932943 + 0.161590i
\(334\) −0.316077 0.251935i −0.0172950 0.0137853i
\(335\) 5.25938 14.8316i 0.287351 0.810337i
\(336\) −17.3648 + 16.6116i −0.947328 + 0.906236i
\(337\) 10.0355i 0.546669i 0.961919 + 0.273335i \(0.0881267\pi\)
−0.961919 + 0.273335i \(0.911873\pi\)
\(338\) 16.8143 21.0951i 0.914575 1.14742i
\(339\) 26.5969 15.3557i 1.44455 0.834009i
\(340\) −3.25676 + 27.9793i −0.176623 + 1.51739i
\(341\) −1.29018 + 2.23465i −0.0698670 + 0.121013i
\(342\) −0.506236 + 3.36431i −0.0273741 + 0.181921i
\(343\) 10.9181 14.9598i 0.589522 0.807752i
\(344\) 10.1621 21.1420i 0.547903 1.13990i
\(345\) 8.84540 7.54806i 0.476220 0.406374i
\(346\) 25.3594 9.96008i 1.36333 0.535457i
\(347\) −6.86288 + 3.96228i −0.368418 + 0.212706i −0.672767 0.739854i \(-0.734894\pi\)
0.304349 + 0.952561i \(0.401561\pi\)
\(348\) −19.2068 20.6795i −1.02960 1.10854i
\(349\) −6.06729 −0.324775 −0.162387 0.986727i \(-0.551919\pi\)
−0.162387 + 0.986727i \(0.551919\pi\)
\(350\) −16.1441 + 9.45353i −0.862936 + 0.505313i
\(351\) 10.8529i 0.579283i
\(352\) −4.91245 + 1.52195i −0.261834 + 0.0811205i
\(353\) −17.3298 30.0161i −0.922371 1.59759i −0.795735 0.605644i \(-0.792915\pi\)
−0.126636 0.991949i \(-0.540418\pi\)
\(354\) 34.4368 13.5253i 1.83029 0.718860i
\(355\) −1.17786 1.38030i −0.0625141 0.0732588i
\(356\) 8.43431 27.3915i 0.447018 1.45175i
\(357\) −28.1026 25.3402i −1.48735 1.34115i
\(358\) −1.96262 0.295321i −0.103728 0.0156082i
\(359\) −4.46664 2.57881i −0.235740 0.136105i 0.377477 0.926019i \(-0.376792\pi\)
−0.613217 + 0.789914i \(0.710125\pi\)
\(360\) −3.57448 + 13.1594i −0.188392 + 0.693563i
\(361\) −8.87752 15.3763i −0.467238 0.809280i
\(362\) 13.5587 17.0107i 0.712627 0.894060i
\(363\) −23.1009 −1.21248
\(364\) −0.441695 29.9651i −0.0231511 1.57060i
\(365\) 19.1373 + 6.78619i 1.00169 + 0.355206i
\(366\) 3.91192 4.90789i 0.204480 0.256540i
\(367\) 12.5217 7.22938i 0.653625 0.377371i −0.136218 0.990679i \(-0.543495\pi\)
0.789844 + 0.613308i \(0.210162\pi\)
\(368\) 0.675524 9.13571i 0.0352141 0.476232i
\(369\) −0.304482 0.175793i −0.0158507 0.00915141i
\(370\) 4.40601 + 2.35082i 0.229058 + 0.122213i
\(371\) −12.9117 + 4.18504i −0.670341 + 0.217276i
\(372\) 12.3190 + 3.79321i 0.638708 + 0.196669i
\(373\) 3.13591 5.43156i 0.162372 0.281236i −0.773347 0.633983i \(-0.781419\pi\)
0.935719 + 0.352747i \(0.114752\pi\)
\(374\) −2.96045 7.53761i −0.153081 0.389761i
\(375\) −12.1427 + 22.2950i −0.627047 + 1.15131i
\(376\) 15.7693 + 23.0925i 0.813241 + 1.19090i
\(377\) 35.1965 1.81271
\(378\) 4.55124 + 5.54043i 0.234090 + 0.284969i
\(379\) −24.4959 −1.25827 −0.629135 0.777296i \(-0.716591\pi\)
−0.629135 + 0.777296i \(0.716591\pi\)
\(380\) 1.97859 + 4.58087i 0.101500 + 0.234994i
\(381\) 1.53223 + 2.65390i 0.0784984 + 0.135963i
\(382\) −29.5764 + 11.6164i −1.51326 + 0.594345i
\(383\) −7.48398 4.32088i −0.382413 0.220786i 0.296454 0.955047i \(-0.404196\pi\)
−0.678868 + 0.734261i \(0.737529\pi\)
\(384\) 12.8836 + 22.2259i 0.657463 + 1.13421i
\(385\) 2.81551 4.58267i 0.143492 0.233555i
\(386\) 3.48526 23.1621i 0.177395 1.17892i
\(387\) 15.4857 + 8.94069i 0.787184 + 0.454481i
\(388\) −4.45907 19.4919i −0.226375 0.989553i
\(389\) −8.34342 + 4.81708i −0.423028 + 0.244235i −0.696372 0.717681i \(-0.745204\pi\)
0.273344 + 0.961916i \(0.411870\pi\)
\(390\) −21.5009 34.5186i −1.08874 1.74792i
\(391\) 14.4249 0.729496
\(392\) −12.7916 15.1121i −0.646074 0.763275i
\(393\) 18.5885i 0.937667i
\(394\) −14.2221 + 17.8430i −0.716498 + 0.898916i
\(395\) −24.9386 + 4.61092i −1.25480 + 0.232001i
\(396\) −0.874245 3.82159i −0.0439325 0.192042i
\(397\) −13.5336 7.81361i −0.679230 0.392154i 0.120335 0.992733i \(-0.461603\pi\)
−0.799565 + 0.600580i \(0.794937\pi\)
\(398\) −30.5241 4.59303i −1.53003 0.230228i
\(399\) −6.55579 1.39838i −0.328200 0.0700068i
\(400\) 5.75437 + 19.1543i 0.287719 + 0.957715i
\(401\) −13.4230 + 23.2493i −0.670311 + 1.16101i 0.307505 + 0.951546i \(0.400506\pi\)
−0.977816 + 0.209466i \(0.932827\pi\)
\(402\) 21.0352 8.26173i 1.04914 0.412057i
\(403\) −13.9209 + 8.03726i −0.693452 + 0.400365i
\(404\) 25.4770 23.6627i 1.26753 1.17726i
\(405\) 22.8021 + 8.08575i 1.13304 + 0.401784i
\(406\) 17.9679 14.7599i 0.891734 0.732523i
\(407\) −1.43571 −0.0711656
\(408\) −33.4068 + 22.8128i −1.65388 + 1.12940i
\(409\) 9.54259 5.50941i 0.471850 0.272423i −0.245164 0.969482i \(-0.578842\pi\)
0.717014 + 0.697059i \(0.245508\pi\)
\(410\) −0.515374 + 0.0172584i −0.0254525 + 0.000852329i
\(411\) −10.0628 5.80976i −0.496362 0.286574i
\(412\) −1.06429 + 3.45643i −0.0524339 + 0.170286i
\(413\) 9.39878 + 28.9971i 0.462484 + 1.42686i
\(414\) 6.90534 + 1.03906i 0.339379 + 0.0510672i
\(415\) −13.2817 + 11.3337i −0.651971 + 0.556348i
\(416\) −31.2431 7.09034i −1.53182 0.347632i
\(417\) −35.2327 + 20.3416i −1.72536 + 0.996134i
\(418\) −1.12180 0.894154i −0.0548692 0.0437345i
\(419\) 5.97226i 0.291764i −0.989302 0.145882i \(-0.953398\pi\)
0.989302 0.145882i \(-0.0466020\pi\)
\(420\) −25.4519 8.60526i −1.24193 0.419894i
\(421\) 20.0534i 0.977344i −0.872468 0.488672i \(-0.837482\pi\)
0.872468 0.488672i \(-0.162518\pi\)
\(422\) 8.60858 10.8003i 0.419059 0.525751i
\(423\) −18.4602 + 10.6580i −0.897564 + 0.518209i
\(424\) 1.09510 + 14.4688i 0.0531826 + 0.702665i
\(425\) −29.4111 + 11.2606i −1.42665 + 0.546221i
\(426\) 0.387751 2.57689i 0.0187866 0.124851i
\(427\) 3.84028 + 3.46279i 0.185844 + 0.167576i
\(428\) 2.09700 6.81030i 0.101363 0.329188i
\(429\) 10.1251 + 5.84574i 0.488845 + 0.282235i
\(430\) 26.2115 0.877746i 1.26403 0.0423287i
\(431\) 21.7452 12.5546i 1.04743 0.604734i 0.125501 0.992093i \(-0.459946\pi\)
0.921929 + 0.387359i \(0.126613\pi\)
\(432\) 6.90275 3.33262i 0.332109 0.160341i
\(433\) −15.4250 −0.741276 −0.370638 0.928777i \(-0.620861\pi\)
−0.370638 + 0.928777i \(0.620861\pi\)
\(434\) −3.73620 + 9.94091i −0.179343 + 0.477179i
\(435\) 10.5460 29.7399i 0.505640 1.42592i
\(436\) −2.71808 2.92649i −0.130173 0.140153i
\(437\) 2.21297 1.27766i 0.105861 0.0611186i
\(438\) 10.6601 + 27.1418i 0.509361 + 1.29689i
\(439\) −8.54597 + 14.8021i −0.407877 + 0.706464i −0.994652 0.103287i \(-0.967064\pi\)
0.586775 + 0.809750i \(0.300397\pi\)
\(440\) −4.05178 4.07967i −0.193161 0.194491i
\(441\) 12.2228 8.85369i 0.582040 0.421605i
\(442\) 7.50653 49.8864i 0.357049 2.37286i
\(443\) 34.3644 + 19.8403i 1.63270 + 0.942640i 0.983256 + 0.182231i \(0.0583320\pi\)
0.649445 + 0.760409i \(0.275001\pi\)
\(444\) 1.59935 + 6.99125i 0.0759019 + 0.331790i
\(445\) 31.5096 5.82584i 1.49370 0.276171i
\(446\) −19.5689 15.5977i −0.926613 0.738574i
\(447\) 16.1774i 0.765166i
\(448\) −18.9231 + 9.48241i −0.894033 + 0.448002i
\(449\) −7.32288 −0.345588 −0.172794 0.984958i \(-0.555279\pi\)
−0.172794 + 0.984958i \(0.555279\pi\)
\(450\) −14.8905 + 3.27203i −0.701947 + 0.154245i
\(451\) 0.128387 0.0741244i 0.00604552 0.00349038i
\(452\) 26.3690 6.03231i 1.24030 0.283736i
\(453\) −5.59865 3.23238i −0.263048 0.151871i
\(454\) 24.5162 + 3.68902i 1.15060 + 0.173134i
\(455\) 29.4637 15.9537i 1.38128 0.747920i
\(456\) −3.10445 + 6.45874i −0.145379 + 0.302458i
\(457\) 21.0598 + 12.1589i 0.985137 + 0.568769i 0.903817 0.427919i \(-0.140753\pi\)
0.0813202 + 0.996688i \(0.474086\pi\)
\(458\) 3.57727 + 9.10810i 0.167155 + 0.425594i
\(459\) 6.03497 + 10.4529i 0.281688 + 0.487898i
\(460\) 9.40236 4.06111i 0.438387 0.189350i
\(461\) 16.3772 0.762764 0.381382 0.924417i \(-0.375448\pi\)
0.381382 + 0.924417i \(0.375448\pi\)
\(462\) 7.62037 1.26178i 0.354532 0.0587033i
\(463\) −1.64446 −0.0764246 −0.0382123 0.999270i \(-0.512166\pi\)
−0.0382123 + 0.999270i \(0.512166\pi\)
\(464\) −10.8079 22.3860i −0.501744 1.03925i
\(465\) 2.62009 + 14.1710i 0.121504 + 0.657163i
\(466\) −5.75994 + 2.26226i −0.266824 + 0.104797i
\(467\) 7.96501 13.7958i 0.368577 0.638393i −0.620767 0.783995i \(-0.713179\pi\)
0.989343 + 0.145602i \(0.0465119\pi\)
\(468\) 7.18692 23.3405i 0.332216 1.07891i
\(469\) 5.74112 + 17.7125i 0.265100 + 0.817887i
\(470\) −14.7169 + 27.5831i −0.678841 + 1.27231i
\(471\) −25.8928 14.9492i −1.19308 0.688824i
\(472\) 32.4940 2.45937i 1.49566 0.113202i
\(473\) −6.52967 + 3.76991i −0.300235 + 0.173341i
\(474\) −28.4813 22.7015i −1.30819 1.04272i
\(475\) −3.51466 + 4.33257i −0.161264 + 0.198792i
\(476\) −17.0882 28.6151i −0.783235 1.31157i
\(477\) −11.0609 −0.506445
\(478\) 15.6522 + 12.4759i 0.715917 + 0.570635i
\(479\) −13.4844 23.3556i −0.616116 1.06714i −0.990188 0.139745i \(-0.955372\pi\)
0.374071 0.927400i \(-0.377962\pi\)
\(480\) −15.3525 + 24.2750i −0.700743 + 1.10800i
\(481\) −7.74563 4.47194i −0.353170 0.203903i
\(482\) −3.25907 + 21.6589i −0.148447 + 0.986536i
\(483\) −2.87022 + 13.4559i −0.130599 + 0.612266i
\(484\) −19.4460 5.98774i −0.883908 0.272170i
\(485\) 17.0056 14.5114i 0.772186 0.658931i
\(486\) 9.72942 + 24.7721i 0.441335 + 1.12369i
\(487\) −6.04240 10.4658i −0.273808 0.474249i 0.696026 0.718017i \(-0.254950\pi\)
−0.969834 + 0.243768i \(0.921616\pi\)
\(488\) 4.56511 3.11741i 0.206653 0.141119i
\(489\) 39.0871i 1.76758i
\(490\) 8.35103 20.5003i 0.377261 0.926107i
\(491\) 18.7339 0.845450 0.422725 0.906258i \(-0.361074\pi\)
0.422725 + 0.906258i \(0.361074\pi\)
\(492\) −0.503973 0.542614i −0.0227208 0.0244629i
\(493\) 33.8993 19.5718i 1.52675 0.881468i
\(494\) −3.26700 8.31813i −0.146989 0.374250i
\(495\) 3.33412 2.84511i 0.149858 0.127878i
\(496\) 9.38669 + 6.38612i 0.421475 + 0.286745i
\(497\) 2.09976 + 0.447890i 0.0941872 + 0.0200906i
\(498\) −24.7956 3.73105i −1.11112 0.167192i
\(499\) 12.4806 21.6171i 0.558710 0.967714i −0.438895 0.898539i \(-0.644630\pi\)
0.997605 0.0691754i \(-0.0220368\pi\)
\(500\) −16.0004 + 15.6201i −0.715558 + 0.698554i
\(501\) 0.562043 0.324496i 0.0251102 0.0144974i
\(502\) −6.77936 5.40361i −0.302578 0.241175i
\(503\) 13.3328i 0.594481i −0.954803 0.297241i \(-0.903934\pi\)
0.954803 0.297241i \(-0.0960663\pi\)
\(504\) −6.11907 14.9293i −0.272565 0.665003i
\(505\) 36.6394 + 12.9926i 1.63043 + 0.578161i
\(506\) −1.83527 + 2.30253i −0.0815879 + 0.102360i
\(507\) 21.6570 + 37.5110i 0.961821 + 1.66592i
\(508\) 0.601916 + 2.63116i 0.0267057 + 0.116739i
\(509\) −3.32935 + 5.76661i −0.147571 + 0.255600i −0.930329 0.366726i \(-0.880479\pi\)
0.782758 + 0.622326i \(0.213812\pi\)
\(510\) −39.9033 21.2903i −1.76695 0.942750i
\(511\) −22.8545 + 7.40778i −1.01102 + 0.327701i
\(512\) 5.08424 + 22.0488i 0.224694 + 0.974429i
\(513\) 1.85169 + 1.06907i 0.0817542 + 0.0472008i
\(514\) −3.31963 8.45213i −0.146423 0.372808i
\(515\) −3.97607 + 0.735139i −0.175206 + 0.0323941i
\(516\) 25.6317 + 27.5969i 1.12837 + 1.21489i
\(517\) 8.98804i 0.395294i
\(518\) −5.82952 + 0.965251i −0.256134 + 0.0424107i
\(519\) 43.7457i 1.92022i
\(520\) −9.15193 34.6302i −0.401339 1.51863i
\(521\) 6.14654 3.54871i 0.269285 0.155472i −0.359278 0.933231i \(-0.616977\pi\)
0.628563 + 0.777759i \(0.283644\pi\)
\(522\) 17.6378 6.92736i 0.771985 0.303202i
\(523\) 8.40071 14.5505i 0.367337 0.636247i −0.621811 0.783167i \(-0.713603\pi\)
0.989148 + 0.146920i \(0.0469361\pi\)
\(524\) −4.81813 + 15.6475i −0.210481 + 0.683564i
\(525\) −4.65211 29.6761i −0.203035 1.29517i
\(526\) −9.03436 1.35942i −0.393917 0.0592736i
\(527\) −8.93858 + 15.4821i −0.389371 + 0.674410i
\(528\) 0.608919 8.23495i 0.0264998 0.358380i
\(529\) 8.87758 + 15.3764i 0.385982 + 0.668540i
\(530\) −13.7700 + 8.57708i −0.598132 + 0.372564i
\(531\) 24.8407i 1.07800i
\(532\) −5.15609 2.87639i −0.223545 0.124707i
\(533\) 0.923529 0.0400025
\(534\) 35.9857 + 28.6831i 1.55725 + 1.24124i
\(535\) 7.83415 1.44847i 0.338700 0.0626226i
\(536\) 19.8485 1.50227i 0.857325 0.0648884i
\(537\) 1.59336 2.75978i 0.0687585 0.119093i
\(538\) 2.11264 + 0.317894i 0.0910824 + 0.0137054i
\(539\) 0.656142 + 6.32998i 0.0282621 + 0.272652i
\(540\) 6.87655 + 5.11430i 0.295920 + 0.220084i
\(541\) 14.2808 + 8.24501i 0.613979 + 0.354481i 0.774521 0.632548i \(-0.217991\pi\)
−0.160542 + 0.987029i \(0.551324\pi\)
\(542\) −8.95721 22.8060i −0.384745 0.979601i
\(543\) 17.4637 + 30.2481i 0.749441 + 1.29807i
\(544\) −34.0343 + 10.5444i −1.45921 + 0.452087i
\(545\) 1.49243 4.20869i 0.0639285 0.180280i
\(546\) 45.0419 + 16.9286i 1.92762 + 0.724477i
\(547\) 4.86184i 0.207877i 0.994584 + 0.103939i \(0.0331446\pi\)
−0.994584 + 0.103939i \(0.966855\pi\)
\(548\) −6.96481 7.49883i −0.297522 0.320334i
\(549\) 2.10696 + 3.64936i 0.0899229 + 0.155751i
\(550\) 1.94452 6.12736i 0.0829147 0.261272i
\(551\) 3.46707 6.00515i 0.147702 0.255828i
\(552\) 13.2567 + 6.37197i 0.564244 + 0.271209i
\(553\) 20.0951 22.2858i 0.854532 0.947688i
\(554\) 16.1575 + 2.43126i 0.686467 + 0.103294i
\(555\) −6.09948 + 5.20488i −0.258909 + 0.220935i
\(556\) −34.9309 + 7.99095i −1.48140 + 0.338892i
\(557\) −11.4750 19.8753i −0.486211 0.842142i 0.513663 0.857992i \(-0.328288\pi\)
−0.999874 + 0.0158495i \(0.994955\pi\)
\(558\) −5.39422 + 6.76757i −0.228355 + 0.286494i
\(559\) −46.9699 −1.98662
\(560\) −19.1945 13.8409i −0.811117 0.584884i
\(561\) 13.0026 0.548970
\(562\) −14.6788 + 18.4160i −0.619187 + 0.776831i
\(563\) 7.57987 + 13.1287i 0.319453 + 0.553309i 0.980374 0.197146i \(-0.0631674\pi\)
−0.660921 + 0.750456i \(0.729834\pi\)
\(564\) −43.7676 + 10.0125i −1.84295 + 0.421602i
\(565\) 19.6313 + 23.0055i 0.825897 + 0.967849i
\(566\) −31.8205 4.78810i −1.33751 0.201259i
\(567\) −27.2311 + 8.82638i −1.14360 + 0.370673i
\(568\) 0.994330 2.06868i 0.0417212 0.0867998i
\(569\) 0.815340 1.41221i 0.0341808 0.0592030i −0.848429 0.529309i \(-0.822451\pi\)
0.882610 + 0.470106i \(0.155784\pi\)
\(570\) −8.00745 + 0.268146i −0.335395 + 0.0112314i
\(571\) 17.5826 + 30.4540i 0.735811 + 1.27446i 0.954367 + 0.298637i \(0.0965320\pi\)
−0.218556 + 0.975824i \(0.570135\pi\)
\(572\) 7.00794 + 7.54527i 0.293017 + 0.315483i
\(573\) 51.0202i 2.13140i
\(574\) 0.471465 0.387289i 0.0196785 0.0161651i
\(575\) 8.89271 + 7.21394i 0.370852 + 0.300842i
\(576\) −17.0522 + 2.59613i −0.710507 + 0.108172i
\(577\) −7.78749 13.4883i −0.324198 0.561527i 0.657152 0.753758i \(-0.271761\pi\)
−0.981350 + 0.192231i \(0.938428\pi\)
\(578\) −11.7216 29.8444i −0.487555 1.24136i
\(579\) 32.5699 + 18.8042i 1.35356 + 0.781477i
\(580\) 16.5860 22.3011i 0.688695 0.926001i
\(581\) 4.30973 20.2045i 0.178798 0.838225i
\(582\) 31.7479 + 4.77718i 1.31599 + 0.198021i
\(583\) 2.33196 4.03908i 0.0965801 0.167282i
\(584\) 1.93839 + 25.6106i 0.0802112 + 1.05977i
\(585\) 26.8495 4.96423i 1.11009 0.205246i
\(586\) −9.58049 7.63630i −0.395766 0.315453i
\(587\) −17.6761 −0.729572 −0.364786 0.931091i \(-0.618858\pi\)
−0.364786 + 0.931091i \(0.618858\pi\)
\(588\) 30.0932 10.2466i 1.24102 0.422562i
\(589\) 3.16688i 0.130489i
\(590\) 19.2625 + 30.9248i 0.793023 + 1.27315i
\(591\) −18.3182 31.7281i −0.753511 1.30512i
\(592\) −0.465818 + 6.29967i −0.0191450 + 0.258915i
\(593\) −4.15344 + 7.19397i −0.170561 + 0.295421i −0.938616 0.344963i \(-0.887891\pi\)
0.768055 + 0.640384i \(0.221225\pi\)
\(594\) −2.43634 0.366602i −0.0999644 0.0150419i
\(595\) 19.5064 31.7496i 0.799685 1.30161i
\(596\) −4.19317 + 13.6179i −0.171759 + 0.557810i
\(597\) 24.7810 42.9220i 1.01422 1.75668i
\(598\) −17.0732 + 6.70561i −0.698174 + 0.274213i
\(599\) −1.64713 + 0.950974i −0.0673001 + 0.0388557i −0.533272 0.845944i \(-0.679038\pi\)
0.465972 + 0.884799i \(0.345705\pi\)
\(600\) −32.0036 2.64317i −1.30654 0.107907i
\(601\) 3.61199i 0.147336i −0.997283 0.0736680i \(-0.976529\pi\)
0.997283 0.0736680i \(-0.0234705\pi\)
\(602\) −23.9783 + 19.6972i −0.977283 + 0.802799i
\(603\) 15.1736i 0.617917i
\(604\) −3.87502 4.17213i −0.157672 0.169762i
\(605\) −4.13592 22.3695i −0.168149 0.909448i
\(606\) 20.4094 + 51.9645i 0.829076 + 2.11091i
\(607\) −23.1622 13.3727i −0.940124 0.542781i −0.0501251 0.998743i \(-0.515962\pi\)
−0.889999 + 0.455962i \(0.849295\pi\)
\(608\) −4.28738 + 4.63219i −0.173876 + 0.187860i
\(609\) 11.5119 + 35.5166i 0.466487 + 1.43921i
\(610\) 5.45286 + 2.90936i 0.220780 + 0.117797i
\(611\) 27.9959 48.4903i 1.13259 1.96171i
\(612\) −6.05693 26.4767i −0.244837 1.07026i
\(613\) 4.16951 + 7.22180i 0.168405 + 0.291686i 0.937859 0.347016i \(-0.112805\pi\)
−0.769454 + 0.638702i \(0.779472\pi\)
\(614\) 10.3011 12.9237i 0.415718 0.521559i
\(615\) 0.276718 0.780352i 0.0111583 0.0314668i
\(616\) 6.74175 + 0.913046i 0.271633 + 0.0367877i
\(617\) 24.3929i 0.982021i 0.871154 + 0.491011i \(0.163372\pi\)
−0.871154 + 0.491011i \(0.836628\pi\)
\(618\) −4.54089 3.61940i −0.182662 0.145594i
\(619\) −35.5991 + 20.5532i −1.43085 + 0.826102i −0.997186 0.0749730i \(-0.976113\pi\)
−0.433664 + 0.901075i \(0.642780\pi\)
\(620\) −1.46756 + 12.6080i −0.0589385 + 0.506350i
\(621\) 2.19430 3.80064i 0.0880543 0.152515i
\(622\) 15.8494 + 2.38490i 0.635503 + 0.0956257i
\(623\) −25.3899 + 28.1578i −1.01723 + 1.12812i
\(624\) 28.9353 42.5307i 1.15834 1.70259i
\(625\) −23.7630 7.76660i −0.950520 0.310664i
\(626\) 13.1330 + 33.4379i 0.524899 + 1.33645i
\(627\) 1.99477 1.15168i 0.0796636 0.0459938i
\(628\) −17.9213 19.2954i −0.715138 0.769970i
\(629\) −9.94688 −0.396608
\(630\) 11.6250 13.7938i 0.463149 0.549558i
\(631\) 35.0578i 1.39563i 0.716279 + 0.697814i \(0.245844\pi\)
−0.716279 + 0.697814i \(0.754156\pi\)
\(632\) −18.0908 26.4921i −0.719615 1.05380i
\(633\) 11.0880 + 19.2049i 0.440707 + 0.763327i
\(634\) −12.3181 31.3632i −0.489214 1.24559i
\(635\) −2.29554 + 1.95886i −0.0910957 + 0.0777349i
\(636\) −22.2662 6.85614i −0.882913 0.271864i
\(637\) −16.1767 + 36.1939i −0.640945 + 1.43405i
\(638\) −1.18891 + 7.90121i −0.0470696 + 0.312812i
\(639\) 1.51523 + 0.874819i 0.0599416 + 0.0346073i
\(640\) −19.2155 + 16.4549i −0.759560 + 0.650437i
\(641\) −3.51329 6.08519i −0.138766 0.240351i 0.788264 0.615338i \(-0.210980\pi\)
−0.927030 + 0.374987i \(0.877647\pi\)
\(642\) 8.94705 + 7.13141i 0.353112 + 0.281454i
\(643\) −4.42331 −0.174438 −0.0872191 0.996189i \(-0.527798\pi\)
−0.0872191 + 0.996189i \(0.527798\pi\)
\(644\) −5.90386 + 10.5830i −0.232645 + 0.417029i
\(645\) −14.0736 + 39.6881i −0.554149 + 1.56272i
\(646\) −7.77207 6.19487i −0.305788 0.243734i
\(647\) 0.327418 0.189035i 0.0128721 0.00743172i −0.493550 0.869717i \(-0.664301\pi\)
0.506422 + 0.862286i \(0.330968\pi\)
\(648\) 2.30959 + 30.5150i 0.0907294 + 1.19874i
\(649\) −9.07099 5.23714i −0.356067 0.205576i
\(650\) 29.5761 27.0002i 1.16007 1.05904i
\(651\) −12.6636 11.4188i −0.496324 0.447536i
\(652\) 10.1313 32.9029i 0.396774 1.28858i
\(653\) −22.4109 + 38.8168i −0.877005 + 1.51902i −0.0223938 + 0.999749i \(0.507129\pi\)
−0.854611 + 0.519268i \(0.826205\pi\)
\(654\) 5.96905 2.34439i 0.233408 0.0916727i
\(655\) −17.9999 + 3.32803i −0.703315 + 0.130037i
\(656\) −0.283591 0.587392i −0.0110724 0.0229338i
\(657\) −19.5786 −0.763832
\(658\) −6.04280 36.4948i −0.235573 1.42271i
\(659\) −24.4018 −0.950557 −0.475279 0.879835i \(-0.657653\pi\)
−0.475279 + 0.879835i \(0.657653\pi\)
\(660\) 8.47531 3.66070i 0.329901 0.142492i
\(661\) 14.4940 + 25.1043i 0.563751 + 0.976445i 0.997165 + 0.0752499i \(0.0239754\pi\)
−0.433414 + 0.901195i \(0.642691\pi\)
\(662\) −2.43167 6.19128i −0.0945095 0.240631i
\(663\) 70.1487 + 40.5004i 2.72435 + 1.57290i
\(664\) −19.9054 9.56773i −0.772480 0.371300i
\(665\) 0.180379 6.59857i 0.00699479 0.255881i
\(666\) −4.76168 0.716502i −0.184511 0.0277639i
\(667\) −12.3257 7.11626i −0.477254 0.275543i
\(668\) 0.557227 0.127474i 0.0215598 0.00493211i
\(669\) 34.7971 20.0901i 1.34533 0.776728i
\(670\) 11.7662 + 18.8900i 0.454568 + 0.729784i
\(671\) −1.77683 −0.0685938
\(672\) −3.06405 33.8463i −0.118198 1.30565i
\(673\) 1.93910i 0.0747467i 0.999301 + 0.0373733i \(0.0118991\pi\)
−0.999301 + 0.0373733i \(0.988101\pi\)
\(674\) −11.0982 8.84605i −0.427488 0.340737i
\(675\) −1.50706 + 9.46216i −0.0580068 + 0.364199i
\(676\) 8.50767 + 37.1896i 0.327218 + 1.43037i
\(677\) 36.9976 + 21.3606i 1.42193 + 0.820954i 0.996464 0.0840182i \(-0.0267754\pi\)
0.425470 + 0.904972i \(0.360109\pi\)
\(678\) −6.46265 + 42.9491i −0.248197 + 1.64945i
\(679\) −5.51811 + 25.8695i −0.211766 + 0.992782i
\(680\) −28.0715 28.2647i −1.07649 1.08390i
\(681\) −19.9035 + 34.4739i −0.762705 + 1.32104i
\(682\) −1.33403 3.39659i −0.0510828 0.130062i
\(683\) 32.6952 18.8766i 1.25105 0.722293i 0.279730 0.960079i \(-0.409755\pi\)
0.971318 + 0.237786i \(0.0764217\pi\)
\(684\) −3.27434 3.52540i −0.125198 0.134797i
\(685\) 3.82419 10.7843i 0.146115 0.412048i
\(686\) 6.91993 + 25.2609i 0.264204 + 0.964467i
\(687\) −15.7117 −0.599440
\(688\) 14.4232 + 29.8743i 0.549879 + 1.13895i
\(689\) 25.1618 14.5272i 0.958588 0.553441i
\(690\) 0.550376 + 16.4355i 0.0209525 + 0.625689i
\(691\) 17.4603 + 10.0807i 0.664220 + 0.383487i 0.793883 0.608071i \(-0.208056\pi\)
−0.129663 + 0.991558i \(0.541390\pi\)
\(692\) −11.3388 + 36.8244i −0.431038 + 1.39985i
\(693\) −1.08188 + 5.07198i −0.0410972 + 0.192669i
\(694\) 1.66758 11.0823i 0.0633003 0.420677i
\(695\) −26.0055 30.4752i −0.986444 1.15599i
\(696\) 39.7997 3.01232i 1.50860 0.114182i
\(697\) 0.889491 0.513548i 0.0336919 0.0194520i
\(698\) 5.34816 6.70979i 0.202431 0.253969i
\(699\) 9.93606i 0.375816i
\(700\) 3.77595 26.1867i 0.142718 0.989763i
\(701\) 20.2036i 0.763080i 0.924352 + 0.381540i \(0.124606\pi\)
−0.924352 + 0.381540i \(0.875394\pi\)
\(702\) −12.0021 9.56652i −0.452991 0.361065i
\(703\) −1.52599 + 0.881028i −0.0575536 + 0.0332286i
\(704\) 2.64707 6.77421i 0.0997652 0.255313i
\(705\) −32.5843 38.1848i −1.22720 1.43812i
\(706\) 48.4704 + 7.29345i 1.82421 + 0.274493i
\(707\) −43.7562 + 14.1826i −1.64562 + 0.533392i
\(708\) −15.3976 + 50.0056i −0.578676 + 1.87933i
\(709\) 11.7495 + 6.78358i 0.441262 + 0.254763i 0.704133 0.710068i \(-0.251336\pi\)
−0.262871 + 0.964831i \(0.584669\pi\)
\(710\) 2.56472 0.0858848i 0.0962522 0.00322320i
\(711\) 21.1778 12.2270i 0.794231 0.458549i
\(712\) 22.8575 + 33.4724i 0.856623 + 1.25443i
\(713\) 6.50010 0.243431
\(714\) 52.7953 8.74185i 1.97582 0.327155i
\(715\) −3.84787 + 10.8511i −0.143902 + 0.405809i
\(716\) 2.05659 1.91014i 0.0768585 0.0713852i
\(717\) −27.8326 + 16.0691i −1.03943 + 0.600113i
\(718\) 6.78912 2.66648i 0.253368 0.0995120i
\(719\) 20.1941 34.9772i 0.753113 1.30443i −0.193194 0.981161i \(-0.561885\pi\)
0.946307 0.323270i \(-0.104782\pi\)
\(720\) −11.4021 15.5527i −0.424933 0.579615i
\(721\) 3.20385 3.55312i 0.119318 0.132325i
\(722\) 24.8299 + 3.73621i 0.924073 + 0.139047i
\(723\) −30.4561 17.5838i −1.13267 0.653950i
\(724\) 6.86040 + 29.9889i 0.254965 + 1.11453i
\(725\) 30.6864 + 4.88749i 1.13966 + 0.181517i
\(726\) 20.3629 25.5472i 0.755737 0.948146i
\(727\) 7.15590i 0.265397i 0.991156 + 0.132699i \(0.0423643\pi\)
−0.991156 + 0.132699i \(0.957636\pi\)
\(728\) 33.5276 + 25.9250i 1.24262 + 0.960845i
\(729\) −10.2739 −0.380516
\(730\) −24.3738 + 15.1820i −0.902116 + 0.561910i
\(731\) −45.2388 + 26.1186i −1.67322 + 0.966033i
\(732\) 1.97935 + 8.65235i 0.0731590 + 0.319800i
\(733\) −24.8024 14.3197i −0.916097 0.528909i −0.0337089 0.999432i \(-0.510732\pi\)
−0.882388 + 0.470523i \(0.844065\pi\)
\(734\) −3.04258 + 20.2202i −0.112304 + 0.746340i
\(735\) 25.7356 + 24.5136i 0.949273 + 0.904198i
\(736\) 9.50768 + 8.79995i 0.350458 + 0.324370i
\(737\) −5.54089 3.19903i −0.204101 0.117838i
\(738\) 0.462802 0.181769i 0.0170360 0.00669099i
\(739\) −16.4535 28.4983i −0.605252 1.04833i −0.992012 0.126147i \(-0.959739\pi\)
0.386760 0.922181i \(-0.373594\pi\)
\(740\) −6.48354 + 2.80040i −0.238340 + 0.102945i
\(741\) 14.3490 0.527124
\(742\) 6.75310 17.9680i 0.247914 0.659625i
\(743\) −22.3184 −0.818782 −0.409391 0.912359i \(-0.634259\pi\)
−0.409391 + 0.912359i \(0.634259\pi\)
\(744\) −15.0537 + 10.2799i −0.551896 + 0.376878i
\(745\) −15.6652 + 2.89635i −0.573928 + 0.106114i
\(746\) 3.24251 + 8.25577i 0.118717 + 0.302265i
\(747\) 8.41776 14.5800i 0.307990 0.533454i
\(748\) 10.9454 + 3.37026i 0.400202 + 0.123229i
\(749\) −6.31264 + 7.00081i −0.230659 + 0.255804i
\(750\) −13.9524 33.0810i −0.509470 1.20795i
\(751\) 39.6036 + 22.8651i 1.44516 + 0.834361i 0.998187 0.0601891i \(-0.0191704\pi\)
0.446968 + 0.894550i \(0.352504\pi\)
\(752\) −39.4381 2.91618i −1.43816 0.106342i
\(753\) 12.0549 6.95993i 0.439307 0.253634i
\(754\) −31.0248 + 38.9236i −1.12986 + 1.41752i
\(755\) 2.12767 6.00009i 0.0774338 0.218366i
\(756\) −10.1389 + 0.149451i −0.368749 + 0.00543547i
\(757\) −28.8916 −1.05008 −0.525042 0.851076i \(-0.675950\pi\)
−0.525042 + 0.851076i \(0.675950\pi\)
\(758\) 21.5925 27.0899i 0.784275 0.983949i
\(759\) −2.36386 4.09432i −0.0858027 0.148615i
\(760\) −6.81004 1.84980i −0.247026 0.0670994i
\(761\) 27.9186 + 16.1188i 1.01205 + 0.584306i 0.911791 0.410655i \(-0.134700\pi\)
0.100258 + 0.994962i \(0.468033\pi\)
\(762\) −4.28555 0.644857i −0.155249 0.0233607i
\(763\) 1.62913 + 5.02618i 0.0589783 + 0.181960i
\(764\) 13.2244 42.9480i 0.478442 1.55380i
\(765\) 23.0994 19.7115i 0.835162 0.712670i
\(766\) 11.3754 4.46775i 0.411009 0.161426i
\(767\) −32.6252 56.5085i −1.17803 2.04040i
\(768\) −35.9361 5.34368i −1.29673 0.192823i
\(769\) 8.89606i 0.320800i −0.987052 0.160400i \(-0.948722\pi\)
0.987052 0.160400i \(-0.0512784\pi\)
\(770\) 2.58615 + 7.15317i 0.0931984 + 0.257782i
\(771\) 14.5802 0.525092
\(772\) 22.5427 + 24.2712i 0.811331 + 0.873538i
\(773\) −24.6869 + 14.2530i −0.887925 + 0.512644i −0.873263 0.487249i \(-0.838001\pi\)
−0.0146619 + 0.999893i \(0.504667\pi\)
\(774\) −23.5377 + 9.24461i −0.846046