Properties

Label 165.2.r.a.29.15
Level $165$
Weight $2$
Character 165.29
Analytic conductor $1.318$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(20\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.15
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.875212 - 1.20463i) q^{2} +(-1.42731 + 0.981214i) q^{3} +(-0.0670941 - 0.206494i) q^{4} +(2.16710 + 0.551056i) q^{5} +(-0.0672046 + 2.57815i) q^{6} +(-0.259482 - 0.798604i) q^{7} +(2.52478 + 0.820350i) q^{8} +(1.07444 - 2.80100i) q^{9} +O(q^{10})\) \(q+(0.875212 - 1.20463i) q^{2} +(-1.42731 + 0.981214i) q^{3} +(-0.0670941 - 0.206494i) q^{4} +(2.16710 + 0.551056i) q^{5} +(-0.0672046 + 2.57815i) q^{6} +(-0.259482 - 0.798604i) q^{7} +(2.52478 + 0.820350i) q^{8} +(1.07444 - 2.80100i) q^{9} +(2.56049 - 2.12826i) q^{10} +(2.11726 + 2.55289i) q^{11} +(0.298379 + 0.228898i) q^{12} +(-1.96978 - 1.43113i) q^{13} +(-1.18912 - 0.386369i) q^{14} +(-3.63384 + 1.33986i) q^{15} +(3.54924 - 2.57867i) q^{16} +(0.182555 + 0.251266i) q^{17} +(-2.43379 - 3.74576i) q^{18} +(-5.72886 - 1.86142i) q^{19} +(-0.0316098 - 0.484467i) q^{20} +(1.15396 + 0.885250i) q^{21} +(4.92832 - 0.316183i) q^{22} -5.74665 q^{23} +(-4.40858 + 1.30645i) q^{24} +(4.39267 + 2.38839i) q^{25} +(-3.44794 + 1.12031i) q^{26} +(1.21482 + 5.05215i) q^{27} +(-0.147498 + 0.107163i) q^{28} +(-0.755560 - 2.32538i) q^{29} +(-1.56634 + 5.55008i) q^{30} +(-2.24512 - 1.63117i) q^{31} -1.22298i q^{32} +(-5.52691 - 1.56629i) q^{33} +0.462456 q^{34} +(-0.122249 - 1.87365i) q^{35} +(-0.650478 - 0.0339351i) q^{36} +(-8.50603 + 2.76378i) q^{37} +(-7.25629 + 5.27200i) q^{38} +(4.21573 + 0.109891i) q^{39} +(5.01939 + 3.16908i) q^{40} +(2.71666 - 8.36103i) q^{41} +(2.07636 - 0.615314i) q^{42} +3.32121 q^{43} +(0.385101 - 0.608485i) q^{44} +(3.87193 - 5.47797i) q^{45} +(-5.02954 + 6.92257i) q^{46} +(-0.122317 + 0.376453i) q^{47} +(-2.53564 + 7.16313i) q^{48} +(5.09268 - 3.70005i) q^{49} +(6.72164 - 3.20118i) q^{50} +(-0.507109 - 0.179509i) q^{51} +(-0.163359 + 0.502768i) q^{52} +(6.06755 + 4.40833i) q^{53} +(7.14918 + 2.95830i) q^{54} +(3.18153 + 6.69910i) q^{55} -2.22916i q^{56} +(10.0033 - 2.96441i) q^{57} +(-3.46248 - 1.12503i) q^{58} +(-10.5430 + 3.42562i) q^{59} +(0.520483 + 0.660470i) q^{60} +(-4.35961 - 6.00049i) q^{61} +(-3.92991 + 1.27691i) q^{62} +(-2.51569 - 0.131242i) q^{63} +(5.62525 + 4.08698i) q^{64} +(-3.48008 - 4.18686i) q^{65} +(-6.72401 + 5.28703i) q^{66} +1.70411i q^{67} +(0.0396366 - 0.0545551i) q^{68} +(8.20227 - 5.63870i) q^{69} +(-2.36404 - 1.49257i) q^{70} +(-0.389936 - 0.536701i) q^{71} +(5.01051 - 6.19048i) q^{72} +(-4.98888 - 15.3542i) q^{73} +(-4.11526 + 12.6655i) q^{74} +(-8.61324 + 0.901173i) q^{75} +1.30787i q^{76} +(1.48936 - 2.35328i) q^{77} +(3.82203 - 4.98220i) q^{78} +(1.31923 - 1.81576i) q^{79} +(9.11256 - 3.63242i) q^{80} +(-6.69117 - 6.01900i) q^{81} +(-7.69425 - 10.5902i) q^{82} +(0.260754 + 0.358897i) q^{83} +(0.105375 - 0.297682i) q^{84} +(0.257155 + 0.645118i) q^{85} +(2.90677 - 4.00082i) q^{86} +(3.36011 + 2.57767i) q^{87} +(3.25134 + 8.18236i) q^{88} +16.7081i q^{89} +(-3.21015 - 9.45861i) q^{90} +(-0.631782 + 1.94442i) q^{91} +(0.385566 + 1.18665i) q^{92} +(4.80502 + 0.125252i) q^{93} +(0.346431 + 0.476822i) q^{94} +(-11.3893 - 7.19082i) q^{95} +(1.20000 + 1.74557i) q^{96} +(-1.67704 + 2.30824i) q^{97} -9.37311i q^{98} +(9.42549 - 3.18751i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} + O(q^{10}) \) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} - 2q^{15} - 60q^{16} - 20q^{19} - 30q^{24} + 6q^{25} + 10q^{30} - 20q^{31} - 56q^{34} + 2q^{36} - 50q^{39} + 60q^{40} - 92q^{45} - 40q^{46} + 72q^{49} + 30q^{51} + 4q^{55} + 54q^{60} + 96q^{64} - 42q^{66} + 30q^{69} - 86q^{70} + 2q^{75} - 66q^{81} + 140q^{84} - 30q^{85} + 120q^{90} + 48q^{91} + 60q^{94} - 70q^{96} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.875212 1.20463i 0.618869 0.851799i −0.378401 0.925642i \(-0.623526\pi\)
0.997270 + 0.0738422i \(0.0235261\pi\)
\(3\) −1.42731 + 0.981214i −0.824059 + 0.566504i
\(4\) −0.0670941 0.206494i −0.0335470 0.103247i
\(5\) 2.16710 + 0.551056i 0.969158 + 0.246440i
\(6\) −0.0672046 + 2.57815i −0.0274362 + 1.05252i
\(7\) −0.259482 0.798604i −0.0980751 0.301844i 0.889968 0.456023i \(-0.150727\pi\)
−0.988043 + 0.154179i \(0.950727\pi\)
\(8\) 2.52478 + 0.820350i 0.892643 + 0.290037i
\(9\) 1.07444 2.80100i 0.358146 0.933666i
\(10\) 2.56049 2.12826i 0.809699 0.673014i
\(11\) 2.11726 + 2.55289i 0.638376 + 0.769724i
\(12\) 0.298379 + 0.228898i 0.0861347 + 0.0660772i
\(13\) −1.96978 1.43113i −0.546318 0.396923i 0.280108 0.959968i \(-0.409630\pi\)
−0.826426 + 0.563045i \(0.809630\pi\)
\(14\) −1.18912 0.386369i −0.317806 0.103261i
\(15\) −3.63384 + 1.33986i −0.938253 + 0.345951i
\(16\) 3.54924 2.57867i 0.887310 0.644668i
\(17\) 0.182555 + 0.251266i 0.0442762 + 0.0609410i 0.830581 0.556898i \(-0.188008\pi\)
−0.786305 + 0.617839i \(0.788008\pi\)
\(18\) −2.43379 3.74576i −0.573650 0.882885i
\(19\) −5.72886 1.86142i −1.31429 0.427039i −0.433761 0.901028i \(-0.642814\pi\)
−0.880531 + 0.473989i \(0.842814\pi\)
\(20\) −0.0316098 0.484467i −0.00706816 0.108330i
\(21\) 1.15396 + 0.885250i 0.251816 + 0.193177i
\(22\) 4.92832 0.316183i 1.05072 0.0674105i
\(23\) −5.74665 −1.19826 −0.599130 0.800652i \(-0.704487\pi\)
−0.599130 + 0.800652i \(0.704487\pi\)
\(24\) −4.40858 + 1.30645i −0.899898 + 0.266678i
\(25\) 4.39267 + 2.38839i 0.878535 + 0.477678i
\(26\) −3.44794 + 1.12031i −0.676198 + 0.219710i
\(27\) 1.21482 + 5.05215i 0.233792 + 0.972287i
\(28\) −0.147498 + 0.107163i −0.0278744 + 0.0202519i
\(29\) −0.755560 2.32538i −0.140304 0.431811i 0.856073 0.516855i \(-0.172897\pi\)
−0.996377 + 0.0850431i \(0.972897\pi\)
\(30\) −1.56634 + 5.55008i −0.285974 + 1.01330i
\(31\) −2.24512 1.63117i −0.403235 0.292968i 0.367622 0.929975i \(-0.380172\pi\)
−0.770857 + 0.637008i \(0.780172\pi\)
\(32\) 1.22298i 0.216194i
\(33\) −5.52691 1.56629i −0.962112 0.272655i
\(34\) 0.462456 0.0793106
\(35\) −0.122249 1.87365i −0.0206638 0.316704i
\(36\) −0.650478 0.0339351i −0.108413 0.00565585i
\(37\) −8.50603 + 2.76378i −1.39838 + 0.454362i −0.908667 0.417521i \(-0.862899\pi\)
−0.489715 + 0.871883i \(0.662899\pi\)
\(38\) −7.25629 + 5.27200i −1.17713 + 0.855232i
\(39\) 4.21573 + 0.109891i 0.675056 + 0.0175967i
\(40\) 5.01939 + 3.16908i 0.793636 + 0.501075i
\(41\) 2.71666 8.36103i 0.424271 1.30577i −0.479419 0.877586i \(-0.659153\pi\)
0.903690 0.428187i \(-0.140847\pi\)
\(42\) 2.07636 0.615314i 0.320389 0.0949450i
\(43\) 3.32121 0.506480 0.253240 0.967403i \(-0.418504\pi\)
0.253240 + 0.967403i \(0.418504\pi\)
\(44\) 0.385101 0.608485i 0.0580562 0.0917325i
\(45\) 3.87193 5.47797i 0.577193 0.816608i
\(46\) −5.02954 + 6.92257i −0.741565 + 1.02068i
\(47\) −0.122317 + 0.376453i −0.0178417 + 0.0549113i −0.959581 0.281433i \(-0.909190\pi\)
0.941739 + 0.336344i \(0.109190\pi\)
\(48\) −2.53564 + 7.16313i −0.365988 + 1.03391i
\(49\) 5.09268 3.70005i 0.727526 0.528578i
\(50\) 6.72164 3.20118i 0.950584 0.452715i
\(51\) −0.507109 0.179509i −0.0710095 0.0251363i
\(52\) −0.163359 + 0.502768i −0.0226538 + 0.0697213i
\(53\) 6.06755 + 4.40833i 0.833442 + 0.605531i 0.920531 0.390669i \(-0.127756\pi\)
−0.0870888 + 0.996201i \(0.527756\pi\)
\(54\) 7.14918 + 2.95830i 0.972880 + 0.402574i
\(55\) 3.18153 + 6.69910i 0.428997 + 0.903306i
\(56\) 2.22916i 0.297885i
\(57\) 10.0033 2.96441i 1.32497 0.392646i
\(58\) −3.46248 1.12503i −0.454646 0.147724i
\(59\) −10.5430 + 3.42562i −1.37258 + 0.445978i −0.900223 0.435429i \(-0.856597\pi\)
−0.472357 + 0.881407i \(0.656597\pi\)
\(60\) 0.520483 + 0.660470i 0.0671940 + 0.0852663i
\(61\) −4.35961 6.00049i −0.558191 0.768284i 0.432904 0.901440i \(-0.357489\pi\)
−0.991095 + 0.133156i \(0.957489\pi\)
\(62\) −3.92991 + 1.27691i −0.499099 + 0.162167i
\(63\) −2.51569 0.131242i −0.316947 0.0165349i
\(64\) 5.62525 + 4.08698i 0.703156 + 0.510872i
\(65\) −3.48008 4.18686i −0.431650 0.519316i
\(66\) −6.72401 + 5.28703i −0.827668 + 0.650789i
\(67\) 1.70411i 0.208190i 0.994567 + 0.104095i \(0.0331947\pi\)
−0.994567 + 0.104095i \(0.966805\pi\)
\(68\) 0.0396366 0.0545551i 0.00480665 0.00661578i
\(69\) 8.20227 5.63870i 0.987437 0.678819i
\(70\) −2.36404 1.49257i −0.282557 0.178397i
\(71\) −0.389936 0.536701i −0.0462769 0.0636947i 0.785251 0.619177i \(-0.212534\pi\)
−0.831528 + 0.555482i \(0.812534\pi\)
\(72\) 5.01051 6.19048i 0.590495 0.729554i
\(73\) −4.98888 15.3542i −0.583905 1.79707i −0.603625 0.797269i \(-0.706277\pi\)
0.0197201 0.999806i \(-0.493723\pi\)
\(74\) −4.11526 + 12.6655i −0.478390 + 1.47233i
\(75\) −8.61324 + 0.901173i −0.994571 + 0.104058i
\(76\) 1.30787i 0.150023i
\(77\) 1.48936 2.35328i 0.169728 0.268181i
\(78\) 3.82203 4.98220i 0.432760 0.564123i
\(79\) 1.31923 1.81576i 0.148425 0.204289i −0.728330 0.685226i \(-0.759703\pi\)
0.876755 + 0.480937i \(0.159703\pi\)
\(80\) 9.11256 3.63242i 1.01882 0.406117i
\(81\) −6.69117 6.01900i −0.743463 0.668777i
\(82\) −7.69425 10.5902i −0.849688 1.16950i
\(83\) 0.260754 + 0.358897i 0.0286214 + 0.0393940i 0.823088 0.567914i \(-0.192249\pi\)
−0.794466 + 0.607308i \(0.792249\pi\)
\(84\) 0.105375 0.297682i 0.0114973 0.0324798i
\(85\) 0.257155 + 0.645118i 0.0278924 + 0.0699729i
\(86\) 2.90677 4.00082i 0.313445 0.431420i
\(87\) 3.36011 + 2.57767i 0.360242 + 0.276355i
\(88\) 3.25134 + 8.18236i 0.346594 + 0.872242i
\(89\) 16.7081i 1.77105i 0.464588 + 0.885527i \(0.346202\pi\)
−0.464588 + 0.885527i \(0.653798\pi\)
\(90\) −3.21015 9.45861i −0.338380 0.997025i
\(91\) −0.631782 + 1.94442i −0.0662287 + 0.203831i
\(92\) 0.385566 + 1.18665i 0.0401981 + 0.123717i
\(93\) 4.80502 + 0.125252i 0.498257 + 0.0129881i
\(94\) 0.346431 + 0.476822i 0.0357317 + 0.0491804i
\(95\) −11.3893 7.19082i −1.16852 0.737762i
\(96\) 1.20000 + 1.74557i 0.122475 + 0.178157i
\(97\) −1.67704 + 2.30824i −0.170277 + 0.234366i −0.885624 0.464403i \(-0.846269\pi\)
0.715347 + 0.698770i \(0.246269\pi\)
\(98\) 9.37311i 0.946827i
\(99\) 9.42549 3.18751i 0.947297 0.320356i
\(100\) 0.198467 1.06731i 0.0198467 0.106731i
\(101\) 11.6689 + 8.47798i 1.16110 + 0.843591i 0.989917 0.141648i \(-0.0452401\pi\)
0.171186 + 0.985239i \(0.445240\pi\)
\(102\) −0.660070 + 0.453769i −0.0653566 + 0.0449298i
\(103\) 4.42164 1.43668i 0.435677 0.141560i −0.0829633 0.996553i \(-0.526438\pi\)
0.518640 + 0.854993i \(0.326438\pi\)
\(104\) −3.79922 5.22918i −0.372544 0.512763i
\(105\) 2.01294 + 2.55433i 0.196442 + 0.249277i
\(106\) 10.6208 3.45090i 1.03158 0.335181i
\(107\) 15.7841 + 5.12856i 1.52591 + 0.495797i 0.947447 0.319914i \(-0.103654\pi\)
0.578460 + 0.815711i \(0.303654\pi\)
\(108\) 0.961733 0.589822i 0.0925428 0.0567557i
\(109\) 17.4265i 1.66915i 0.550893 + 0.834576i \(0.314287\pi\)
−0.550893 + 0.834576i \(0.685713\pi\)
\(110\) 10.8544 + 2.03058i 1.03493 + 0.193608i
\(111\) 9.42890 12.2910i 0.894952 1.16661i
\(112\) −2.98030 2.16532i −0.281612 0.204603i
\(113\) 0.0373195 0.114858i 0.00351073 0.0108049i −0.949286 0.314414i \(-0.898192\pi\)
0.952797 + 0.303610i \(0.0981918\pi\)
\(114\) 5.18402 14.6448i 0.485528 1.37161i
\(115\) −12.4536 3.16673i −1.16130 0.295299i
\(116\) −0.429483 + 0.312038i −0.0398765 + 0.0289720i
\(117\) −6.12498 + 3.97968i −0.566255 + 0.367922i
\(118\) −5.10076 + 15.6985i −0.469563 + 1.44517i
\(119\) 0.153292 0.210989i 0.0140523 0.0193413i
\(120\) −10.2738 + 0.401838i −0.937864 + 0.0366826i
\(121\) −2.03446 + 10.8102i −0.184951 + 0.982748i
\(122\) −11.0439 −0.999871
\(123\) 4.32643 + 14.5994i 0.390101 + 1.31639i
\(124\) −0.186194 + 0.573046i −0.0167207 + 0.0514611i
\(125\) 8.20324 + 7.59650i 0.733720 + 0.679452i
\(126\) −2.35986 + 2.91560i −0.210233 + 0.259742i
\(127\) −4.49454 + 3.26548i −0.398826 + 0.289764i −0.769063 0.639173i \(-0.779277\pi\)
0.370237 + 0.928937i \(0.379277\pi\)
\(128\) 12.1728 3.95519i 1.07593 0.349592i
\(129\) −4.74041 + 3.25882i −0.417370 + 0.286923i
\(130\) −8.08940 + 0.527805i −0.709488 + 0.0462916i
\(131\) 2.08974 0.182582 0.0912908 0.995824i \(-0.470901\pi\)
0.0912908 + 0.995824i \(0.470901\pi\)
\(132\) 0.0473940 + 1.24636i 0.00412512 + 0.108482i
\(133\) 5.05810i 0.438593i
\(134\) 2.05282 + 1.49146i 0.177336 + 0.128842i
\(135\) −0.151381 + 11.6180i −0.0130288 + 0.999915i
\(136\) 0.254786 + 0.784150i 0.0218477 + 0.0672403i
\(137\) 8.15234 5.92302i 0.696502 0.506038i −0.182289 0.983245i \(-0.558351\pi\)
0.878791 + 0.477207i \(0.158351\pi\)
\(138\) 0.386202 14.8157i 0.0328757 1.26120i
\(139\) 0.794812 0.258250i 0.0674151 0.0219045i −0.275115 0.961411i \(-0.588716\pi\)
0.342530 + 0.939507i \(0.388716\pi\)
\(140\) −0.378695 + 0.150954i −0.0320056 + 0.0127580i
\(141\) −0.194796 0.657334i −0.0164048 0.0553575i
\(142\) −0.987801 −0.0828944
\(143\) −0.517016 8.05867i −0.0432350 0.673900i
\(144\) −3.40942 12.7120i −0.284118 1.05934i
\(145\) −0.355964 5.45569i −0.0295612 0.453070i
\(146\) −22.8624 7.42845i −1.89211 0.614783i
\(147\) −3.63830 + 10.2781i −0.300082 + 0.847726i
\(148\) 1.14141 + 1.57101i 0.0938232 + 0.129136i
\(149\) 2.06392 1.49953i 0.169083 0.122846i −0.500026 0.866011i \(-0.666676\pi\)
0.669109 + 0.743165i \(0.266676\pi\)
\(150\) −6.45284 + 11.1645i −0.526872 + 0.911574i
\(151\) 6.96223 + 2.26217i 0.566578 + 0.184092i 0.578279 0.815839i \(-0.303725\pi\)
−0.0117006 + 0.999932i \(0.503725\pi\)
\(152\) −12.9371 9.39934i −1.04934 0.762387i
\(153\) 0.899940 0.241367i 0.0727558 0.0195134i
\(154\) −1.53132 3.85374i −0.123397 0.310543i
\(155\) −3.96654 4.77211i −0.318600 0.383305i
\(156\) −0.260158 0.877896i −0.0208293 0.0702880i
\(157\) 5.49526 + 1.78552i 0.438570 + 0.142500i 0.519976 0.854181i \(-0.325941\pi\)
−0.0814060 + 0.996681i \(0.525941\pi\)
\(158\) −1.03271 3.17835i −0.0821580 0.252856i
\(159\) −12.9858 0.338501i −1.02984 0.0268449i
\(160\) 0.673930 2.65032i 0.0532788 0.209526i
\(161\) 1.49115 + 4.58930i 0.117519 + 0.361688i
\(162\) −13.1068 + 2.79245i −1.02977 + 0.219396i
\(163\) 8.84432 12.1732i 0.692741 0.953476i −0.307258 0.951626i \(-0.599411\pi\)
0.999998 0.00184945i \(-0.000588699\pi\)
\(164\) −1.90878 −0.149050
\(165\) −11.1143 6.43994i −0.865245 0.501349i
\(166\) 0.660551 0.0512687
\(167\) −10.7740 + 14.8292i −0.833718 + 1.14751i 0.153501 + 0.988148i \(0.450945\pi\)
−0.987220 + 0.159366i \(0.949055\pi\)
\(168\) 2.18729 + 3.18171i 0.168753 + 0.245474i
\(169\) −2.18532 6.72574i −0.168102 0.517364i
\(170\) 1.00219 + 0.254840i 0.0768645 + 0.0195453i
\(171\) −11.3691 + 14.0466i −0.869420 + 1.07417i
\(172\) −0.222834 0.685812i −0.0169909 0.0522927i
\(173\) −4.64092 1.50793i −0.352843 0.114646i 0.127232 0.991873i \(-0.459391\pi\)
−0.480075 + 0.877227i \(0.659391\pi\)
\(174\) 6.04594 1.79167i 0.458341 0.135826i
\(175\) 0.767559 4.12775i 0.0580220 0.312029i
\(176\) 14.0977 + 3.60110i 1.06265 + 0.271443i
\(177\) 11.6869 15.2344i 0.878438 1.14508i
\(178\) 20.1270 + 14.6231i 1.50858 + 1.09605i
\(179\) −13.7067 4.45358i −1.02449 0.332876i −0.251878 0.967759i \(-0.581048\pi\)
−0.772608 + 0.634883i \(0.781048\pi\)
\(180\) −1.39095 0.431991i −0.103676 0.0321987i
\(181\) −10.9139 + 7.92938i −0.811220 + 0.589386i −0.914184 0.405299i \(-0.867167\pi\)
0.102964 + 0.994685i \(0.467167\pi\)
\(182\) 1.78936 + 2.46284i 0.132636 + 0.182558i
\(183\) 12.1103 + 4.28686i 0.895218 + 0.316894i
\(184\) −14.5090 4.71426i −1.06962 0.347540i
\(185\) −19.9564 + 1.30209i −1.46723 + 0.0957314i
\(186\) 4.35629 5.67863i 0.319419 0.416377i
\(187\) −0.254937 + 0.998038i −0.0186429 + 0.0729837i
\(188\) 0.0859420 0.00626797
\(189\) 3.71944 2.28110i 0.270550 0.165926i
\(190\) −18.6303 + 7.42635i −1.35158 + 0.538764i
\(191\) 4.72843 1.53636i 0.342137 0.111167i −0.132908 0.991128i \(-0.542432\pi\)
0.475045 + 0.879961i \(0.342432\pi\)
\(192\) −12.0392 0.313825i −0.868853 0.0226484i
\(193\) −10.7665 + 7.82230i −0.774988 + 0.563062i −0.903471 0.428650i \(-0.858989\pi\)
0.128483 + 0.991712i \(0.458989\pi\)
\(194\) 1.31281 + 4.04040i 0.0942540 + 0.290084i
\(195\) 9.07536 + 2.56125i 0.649900 + 0.183415i
\(196\) −1.10573 0.803358i −0.0789805 0.0573827i
\(197\) 0.0885134i 0.00630632i 0.999995 + 0.00315316i \(0.00100368\pi\)
−0.999995 + 0.00315316i \(0.998996\pi\)
\(198\) 4.40955 14.1439i 0.313373 1.00517i
\(199\) −25.7489 −1.82529 −0.912645 0.408753i \(-0.865964\pi\)
−0.912645 + 0.408753i \(0.865964\pi\)
\(200\) 9.13120 + 9.63368i 0.645674 + 0.681204i
\(201\) −1.67210 2.43230i −0.117941 0.171561i
\(202\) 20.4256 6.63668i 1.43714 0.466955i
\(203\) −1.66100 + 1.20679i −0.116579 + 0.0846999i
\(204\) −0.00304356 + 0.116759i −0.000213092 + 0.00817478i
\(205\) 10.4947 16.6222i 0.732980 1.16094i
\(206\) 2.13921 6.58382i 0.149046 0.458716i
\(207\) −6.17442 + 16.0964i −0.429152 + 1.11877i
\(208\) −10.6816 −0.740637
\(209\) −7.37747 18.5662i −0.510310 1.28425i
\(210\) 4.83876 0.189258i 0.333906 0.0130601i
\(211\) 13.8532 19.0672i 0.953691 1.31264i 0.00382262 0.999993i \(-0.498783\pi\)
0.949868 0.312650i \(-0.101217\pi\)
\(212\) 0.503199 1.54869i 0.0345599 0.106364i
\(213\) 1.08318 + 0.383429i 0.0742182 + 0.0262721i
\(214\) 19.9924 14.5254i 1.36666 0.992933i
\(215\) 7.19741 + 1.83018i 0.490860 + 0.124817i
\(216\) −1.07738 + 13.7521i −0.0733066 + 0.935713i
\(217\) −0.720094 + 2.21622i −0.0488832 + 0.150447i
\(218\) 20.9924 + 15.2518i 1.42178 + 1.03299i
\(219\) 22.1865 + 17.0201i 1.49922 + 1.15011i
\(220\) 1.16986 1.10644i 0.0788722 0.0745959i
\(221\) 0.756198i 0.0508674i
\(222\) −6.55378 22.1155i −0.439861 1.48430i
\(223\) 19.2109 + 6.24199i 1.28646 + 0.417995i 0.870849 0.491550i \(-0.163570\pi\)
0.415606 + 0.909545i \(0.363570\pi\)
\(224\) −0.976676 + 0.317341i −0.0652569 + 0.0212033i
\(225\) 11.4095 9.73769i 0.760636 0.649179i
\(226\) −0.105698 0.145481i −0.00703093 0.00967725i
\(227\) 0.613801 0.199436i 0.0407394 0.0132370i −0.288576 0.957457i \(-0.593182\pi\)
0.329316 + 0.944220i \(0.393182\pi\)
\(228\) −1.28330 1.86674i −0.0849885 0.123628i
\(229\) 14.9958 + 10.8951i 0.990949 + 0.719966i 0.960129 0.279559i \(-0.0901881\pi\)
0.0308200 + 0.999525i \(0.490188\pi\)
\(230\) −14.7143 + 12.2304i −0.970230 + 0.806446i
\(231\) 0.183293 + 4.82024i 0.0120598 + 0.317148i
\(232\) 6.49088i 0.426147i
\(233\) −8.11799 + 11.1735i −0.531827 + 0.731998i −0.987408 0.158197i \(-0.949432\pi\)
0.455580 + 0.890195i \(0.349432\pi\)
\(234\) −0.566632 + 10.8614i −0.0370419 + 0.710031i
\(235\) −0.472520 + 0.748408i −0.0308238 + 0.0488208i
\(236\) 1.41474 + 1.94723i 0.0920920 + 0.126754i
\(237\) −0.101299 + 3.88610i −0.00658008 + 0.252429i
\(238\) −0.119999 0.369320i −0.00777840 0.0239394i
\(239\) 2.85846 8.79745i 0.184899 0.569059i −0.815048 0.579393i \(-0.803289\pi\)
0.999947 + 0.0103340i \(0.00328947\pi\)
\(240\) −9.44228 + 14.1260i −0.609497 + 0.911827i
\(241\) 10.2810i 0.662260i −0.943585 0.331130i \(-0.892570\pi\)
0.943585 0.331130i \(-0.107430\pi\)
\(242\) 11.2417 + 11.9120i 0.722644 + 0.765733i
\(243\) 15.4563 + 2.02552i 0.991522 + 0.129937i
\(244\) −0.946563 + 1.30283i −0.0605975 + 0.0834053i
\(245\) 13.0753 5.21204i 0.835350 0.332985i
\(246\) 21.3734 + 7.56585i 1.36272 + 0.482381i
\(247\) 8.62065 + 11.8653i 0.548519 + 0.754972i
\(248\) −4.33029 5.96013i −0.274974 0.378469i
\(249\) −0.724331 0.256402i −0.0459026 0.0162488i
\(250\) 16.3305 3.23329i 1.03283 0.204491i
\(251\) −1.70243 + 2.34320i −0.107456 + 0.147901i −0.859358 0.511374i \(-0.829137\pi\)
0.751902 + 0.659275i \(0.229137\pi\)
\(252\) 0.141687 + 0.528280i 0.00892543 + 0.0332785i
\(253\) −12.1671 14.6706i −0.764941 0.922330i
\(254\) 8.27223i 0.519046i
\(255\) −1.00004 0.668460i −0.0626249 0.0418606i
\(256\) 1.59197 4.89957i 0.0994979 0.306223i
\(257\) −3.03436 9.33880i −0.189278 0.582538i 0.810718 0.585437i \(-0.199077\pi\)
−0.999996 + 0.00289901i \(0.999077\pi\)
\(258\) −0.223201 + 8.56258i −0.0138959 + 0.533083i
\(259\) 4.41433 + 6.07580i 0.274293 + 0.377532i
\(260\) −0.631069 + 0.999529i −0.0391373 + 0.0619882i
\(261\) −7.32517 0.382150i −0.453417 0.0236545i
\(262\) 1.82897 2.51736i 0.112994 0.155523i
\(263\) 26.6343i 1.64234i −0.570681 0.821172i \(-0.693321\pi\)
0.570681 0.821172i \(-0.306679\pi\)
\(264\) −12.6693 8.48852i −0.779742 0.522432i
\(265\) 10.7198 + 12.8969i 0.658510 + 0.792249i
\(266\) 6.09312 + 4.42691i 0.373593 + 0.271431i
\(267\) −16.3942 23.8477i −1.00331 1.45945i
\(268\) 0.351889 0.114336i 0.0214951 0.00698417i
\(269\) −0.0552221 0.0760067i −0.00336695 0.00463421i 0.807330 0.590100i \(-0.200912\pi\)
−0.810697 + 0.585466i \(0.800912\pi\)
\(270\) 13.8628 + 10.3505i 0.843664 + 0.629914i
\(271\) −15.6499 + 5.08497i −0.950666 + 0.308890i −0.742986 0.669307i \(-0.766591\pi\)
−0.207680 + 0.978197i \(0.566591\pi\)
\(272\) 1.29587 + 0.421052i 0.0785734 + 0.0255300i
\(273\) −1.00615 3.39521i −0.0608948 0.205488i
\(274\) 15.0044i 0.906451i
\(275\) 3.20312 + 16.2708i 0.193155 + 0.981168i
\(276\) −1.71468 1.31540i −0.103212 0.0791777i
\(277\) −1.04104 0.756358i −0.0625498 0.0454451i 0.556071 0.831135i \(-0.312308\pi\)
−0.618621 + 0.785690i \(0.712308\pi\)
\(278\) 0.384534 1.18347i 0.0230628 0.0709801i
\(279\) −6.98116 + 4.53597i −0.417951 + 0.271562i
\(280\) 1.22839 4.83083i 0.0734106 0.288697i
\(281\) −9.81270 + 7.12934i −0.585376 + 0.425301i −0.840658 0.541566i \(-0.817832\pi\)
0.255282 + 0.966867i \(0.417832\pi\)
\(282\) −0.962330 0.340650i −0.0573059 0.0202854i
\(283\) 6.04941 18.6182i 0.359600 1.10673i −0.593694 0.804691i \(-0.702331\pi\)
0.953294 0.302044i \(-0.0976689\pi\)
\(284\) −0.0846633 + 0.116529i −0.00502384 + 0.00691472i
\(285\) 23.3118 0.911794i 1.38087 0.0540100i
\(286\) −10.1602 6.43024i −0.600785 0.380228i
\(287\) −7.38208 −0.435750
\(288\) −3.42556 1.31401i −0.201853 0.0774291i
\(289\) 5.22348 16.0762i 0.307264 0.945660i
\(290\) −6.88361 4.34608i −0.404219 0.255211i
\(291\) 0.128774 4.94011i 0.00754886 0.289594i
\(292\) −2.83583 + 2.06035i −0.165954 + 0.120573i
\(293\) 8.83686 2.87127i 0.516255 0.167741i −0.0392900 0.999228i \(-0.512510\pi\)
0.555545 + 0.831486i \(0.312510\pi\)
\(294\) 9.19702 + 13.3783i 0.536381 + 0.780241i
\(295\) −24.7355 + 1.61390i −1.44015 + 0.0939650i
\(296\) −23.7431 −1.38004
\(297\) −10.3255 + 13.7980i −0.599145 + 0.800640i
\(298\) 3.79866i 0.220051i
\(299\) 11.3196 + 8.22419i 0.654631 + 0.475617i
\(300\) 0.763984 + 1.71812i 0.0441086 + 0.0991958i
\(301\) −0.861796 2.65234i −0.0496731 0.152878i
\(302\) 8.81850 6.40701i 0.507447 0.368682i
\(303\) −24.9739 0.650996i −1.43471 0.0373987i
\(304\) −25.1331 + 8.16624i −1.44148 + 0.468366i
\(305\) −6.14112 15.4061i −0.351640 0.882149i
\(306\) 0.496881 1.29534i 0.0284048 0.0740496i
\(307\) 23.0974 1.31824 0.659118 0.752039i \(-0.270930\pi\)
0.659118 + 0.752039i \(0.270930\pi\)
\(308\) −0.585865 0.149653i −0.0333828 0.00852725i
\(309\) −4.90137 + 6.38916i −0.278829 + 0.363467i
\(310\) −9.22017 + 0.601584i −0.523670 + 0.0341677i
\(311\) 14.6627 + 4.76420i 0.831445 + 0.270153i 0.693654 0.720309i \(-0.256000\pi\)
0.137791 + 0.990461i \(0.456000\pi\)
\(312\) 10.5536 + 3.73582i 0.597481 + 0.211499i
\(313\) 11.3737 + 15.6546i 0.642880 + 0.884848i 0.998765 0.0496818i \(-0.0158207\pi\)
−0.355886 + 0.934530i \(0.615821\pi\)
\(314\) 6.96040 5.05703i 0.392798 0.285385i
\(315\) −5.37943 1.67070i −0.303097 0.0941333i
\(316\) −0.463457 0.150586i −0.0260715 0.00847114i
\(317\) −9.38868 6.82127i −0.527321 0.383121i 0.292034 0.956408i \(-0.405668\pi\)
−0.819355 + 0.573287i \(0.805668\pi\)
\(318\) −11.7731 + 15.3468i −0.660203 + 0.860605i
\(319\) 4.33671 6.85227i 0.242809 0.383654i
\(320\) 9.93833 + 11.9567i 0.555570 + 0.668402i
\(321\) −27.5611 + 8.16752i −1.53831 + 0.455866i
\(322\) 6.83347 + 2.22033i 0.380814 + 0.123734i
\(323\) −0.578124 1.77928i −0.0321677 0.0990019i
\(324\) −0.793951 + 1.78553i −0.0441084 + 0.0991959i
\(325\) −5.23449 10.9911i −0.290357 0.609675i
\(326\) −6.92346 21.3082i −0.383455 1.18015i
\(327\) −17.0991 24.8730i −0.945581 1.37548i
\(328\) 13.7179 18.8811i 0.757446 1.04253i
\(329\) 0.332376 0.0183245
\(330\) −17.4851 + 7.75224i −0.962522 + 0.426746i
\(331\) 4.08935 0.224771 0.112385 0.993665i \(-0.464151\pi\)
0.112385 + 0.993665i \(0.464151\pi\)
\(332\) 0.0566151 0.0779240i 0.00310716 0.00427663i
\(333\) −1.39787 + 26.7949i −0.0766030 + 1.46835i
\(334\) 8.43405 + 25.9573i 0.461490 + 1.42032i
\(335\) −0.939061 + 3.69299i −0.0513064 + 0.201769i
\(336\) 6.37846 + 0.166267i 0.347974 + 0.00907063i
\(337\) 5.91989 + 18.2196i 0.322477 + 0.992482i 0.972567 + 0.232625i \(0.0747314\pi\)
−0.650089 + 0.759858i \(0.725269\pi\)
\(338\) −10.0146 3.25395i −0.544724 0.176991i
\(339\) 0.0594334 + 0.200556i 0.00322798 + 0.0108927i
\(340\) 0.115960 0.0963846i 0.00628879 0.00522719i
\(341\) −0.589286 9.18515i −0.0319116 0.497404i
\(342\) 6.97043 + 25.9893i 0.376918 + 1.40534i
\(343\) −9.03167 6.56189i −0.487664 0.354309i
\(344\) 8.38532 + 2.72456i 0.452106 + 0.146898i
\(345\) 20.8824 7.69973i 1.12427 0.414539i
\(346\) −5.87828 + 4.27082i −0.316018 + 0.229601i
\(347\) 6.87069 + 9.45670i 0.368838 + 0.507662i 0.952585 0.304274i \(-0.0984138\pi\)
−0.583747 + 0.811936i \(0.698414\pi\)
\(348\) 0.306831 0.866790i 0.0164478 0.0464648i
\(349\) 8.60838 + 2.79703i 0.460796 + 0.149722i 0.530210 0.847866i \(-0.322113\pi\)
−0.0694142 + 0.997588i \(0.522113\pi\)
\(350\) −4.30062 4.53728i −0.229878 0.242528i
\(351\) 4.83734 11.6902i 0.258198 0.623975i
\(352\) 3.12213 2.58936i 0.166410 0.138013i
\(353\) −9.10247 −0.484476 −0.242238 0.970217i \(-0.577881\pi\)
−0.242238 + 0.970217i \(0.577881\pi\)
\(354\) −8.12323 27.4116i −0.431745 1.45691i
\(355\) −0.549279 1.37796i −0.0291527 0.0731347i
\(356\) 3.45012 1.12101i 0.182856 0.0594136i
\(357\) −0.0117708 + 0.451559i −0.000622977 + 0.0238990i
\(358\) −17.3612 + 12.6136i −0.917566 + 0.666651i
\(359\) 1.38757 + 4.27051i 0.0732334 + 0.225389i 0.980973 0.194145i \(-0.0621933\pi\)
−0.907739 + 0.419534i \(0.862193\pi\)
\(360\) 14.2696 10.6543i 0.752074 0.561532i
\(361\) 13.9837 + 10.1597i 0.735983 + 0.534723i
\(362\) 20.0870i 1.05575i
\(363\) −7.70333 17.4258i −0.404320 0.914618i
\(364\) 0.443901 0.0232667
\(365\) −2.35040 36.0233i −0.123025 1.88555i
\(366\) 15.7631 10.8365i 0.823952 0.566431i
\(367\) −8.72302 + 2.83428i −0.455338 + 0.147948i −0.527701 0.849430i \(-0.676946\pi\)
0.0723634 + 0.997378i \(0.476946\pi\)
\(368\) −20.3962 + 14.8187i −1.06323 + 0.772480i
\(369\) −20.5003 16.5928i −1.06720 0.863785i
\(370\) −15.8976 + 25.1797i −0.826476 + 1.30903i
\(371\) 1.94609 5.98946i 0.101036 0.310957i
\(372\) −0.296524 1.00061i −0.0153741 0.0518793i
\(373\) −31.6743 −1.64003 −0.820016 0.572340i \(-0.806036\pi\)
−0.820016 + 0.572340i \(0.806036\pi\)
\(374\) 0.979138 + 1.18060i 0.0506300 + 0.0610473i
\(375\) −19.1624 2.79344i −0.989541 0.144253i
\(376\) −0.617645 + 0.850116i −0.0318526 + 0.0438414i
\(377\) −1.83962 + 5.66177i −0.0947453 + 0.291596i
\(378\) 0.507427 6.47699i 0.0260992 0.333140i
\(379\) 7.52965 5.47061i 0.386772 0.281006i −0.377359 0.926067i \(-0.623168\pi\)
0.764131 + 0.645061i \(0.223168\pi\)
\(380\) −0.720709 + 2.83429i −0.0369716 + 0.145396i
\(381\) 3.21098 9.07096i 0.164504 0.464719i
\(382\) 2.28764 7.04063i 0.117046 0.360230i
\(383\) 21.7551 + 15.8060i 1.11164 + 0.807651i 0.982920 0.184031i \(-0.0589146\pi\)
0.128715 + 0.991682i \(0.458915\pi\)
\(384\) −13.4935 + 17.5894i −0.688588 + 0.897606i
\(385\) 4.52438 4.27908i 0.230584 0.218082i
\(386\) 19.8158i 1.00860i
\(387\) 3.56844 9.30271i 0.181394 0.472883i
\(388\) 0.589158 + 0.191429i 0.0299100 + 0.00971833i
\(389\) 10.8590 3.52831i 0.550575 0.178893i −0.0205011 0.999790i \(-0.506526\pi\)
0.571076 + 0.820897i \(0.306526\pi\)
\(390\) 11.0282 8.69078i 0.558435 0.440075i
\(391\) −1.04908 1.44394i −0.0530544 0.0730231i
\(392\) 15.8932 5.16402i 0.802729 0.260822i
\(393\) −2.98271 + 2.05048i −0.150458 + 0.103433i
\(394\) 0.106626 + 0.0774680i 0.00537172 + 0.00390278i
\(395\) 3.85949 3.20797i 0.194192 0.161411i
\(396\) −1.29060 1.73245i −0.0648549 0.0870587i
\(397\) 13.2971i 0.667363i 0.942686 + 0.333681i \(0.108291\pi\)
−0.942686 + 0.333681i \(0.891709\pi\)
\(398\) −22.5357 + 31.0178i −1.12961 + 1.55478i
\(399\) −4.96308 7.21949i −0.248465 0.361427i
\(400\) 21.7495 2.85030i 1.08748 0.142515i
\(401\) 12.7867 + 17.5994i 0.638538 + 0.878872i 0.998537 0.0540808i \(-0.0172229\pi\)
−0.359999 + 0.932953i \(0.617223\pi\)
\(402\) −4.39345 0.114524i −0.219125 0.00571195i
\(403\) 2.08797 + 6.42610i 0.104009 + 0.320107i
\(404\) 0.967738 2.97839i 0.0481468 0.148181i
\(405\) −11.1836 16.7310i −0.555720 0.831370i
\(406\) 3.05708i 0.151720i
\(407\) −25.0650 15.8633i −1.24243 0.786315i
\(408\) −1.13308 0.869227i −0.0560957 0.0430331i
\(409\) −11.1044 + 15.2839i −0.549078 + 0.755740i −0.989887 0.141860i \(-0.954692\pi\)
0.440809 + 0.897601i \(0.354692\pi\)
\(410\) −10.8384 27.1901i −0.535272 1.34282i
\(411\) −5.82418 + 16.4532i −0.287286 + 0.811576i
\(412\) −0.593331 0.816651i −0.0292313 0.0402335i
\(413\) 5.47144 + 7.53079i 0.269232 + 0.370566i
\(414\) 13.9862 + 21.5256i 0.687382 + 1.05793i
\(415\) 0.367308 + 0.921456i 0.0180304 + 0.0452325i
\(416\) −1.75024 + 2.40899i −0.0858124 + 0.118111i
\(417\) −0.881046 + 1.14848i −0.0431450 + 0.0562415i
\(418\) −28.8222 7.36231i −1.40974 0.360102i
\(419\) 22.2396i 1.08648i 0.839579 + 0.543238i \(0.182802\pi\)
−0.839579 + 0.543238i \(0.817198\pi\)
\(420\) 0.392398 0.587040i 0.0191471 0.0286446i
\(421\) −5.65642 + 17.4087i −0.275677 + 0.848446i 0.713363 + 0.700795i \(0.247171\pi\)
−0.989039 + 0.147651i \(0.952829\pi\)
\(422\) −10.8444 33.3758i −0.527899 1.62471i
\(423\) 0.923021 + 0.747084i 0.0448788 + 0.0363245i
\(424\) 11.7028 + 16.1076i 0.568340 + 0.782253i
\(425\) 0.201785 + 1.53974i 0.00978800 + 0.0746885i
\(426\) 1.40990 0.969244i 0.0683098 0.0469600i
\(427\) −3.66078 + 5.03863i −0.177157 + 0.243836i
\(428\) 3.60342i 0.174178i
\(429\) 8.64523 + 10.9949i 0.417395 + 0.530841i
\(430\) 8.50394 7.06840i 0.410097 0.340869i
\(431\) −18.6351 13.5392i −0.897623 0.652161i 0.0402314 0.999190i \(-0.487190\pi\)
−0.937854 + 0.347029i \(0.887190\pi\)
\(432\) 17.3395 + 14.7987i 0.834248 + 0.712001i
\(433\) −22.8557 + 7.42627i −1.09837 + 0.356884i −0.801477 0.598026i \(-0.795952\pi\)
−0.296898 + 0.954909i \(0.595952\pi\)
\(434\) 2.03948 + 2.80711i 0.0978984 + 0.134746i
\(435\) 5.86127 + 7.43769i 0.281026 + 0.356610i
\(436\) 3.59846 1.16921i 0.172335 0.0559951i
\(437\) 32.9218 + 10.6969i 1.57486 + 0.511704i
\(438\) 39.9207 11.8302i 1.90748 0.565269i
\(439\) 22.8635i 1.09121i −0.838041 0.545607i \(-0.816299\pi\)
0.838041 0.545607i \(-0.183701\pi\)
\(440\) 2.53704 + 19.5237i 0.120949 + 0.930755i
\(441\) −4.89206 18.2401i −0.232955 0.868574i
\(442\) −0.910936 0.661834i −0.0433288 0.0314802i
\(443\) −2.61128 + 8.03669i −0.124066 + 0.381835i −0.993730 0.111809i \(-0.964335\pi\)
0.869664 + 0.493644i \(0.164335\pi\)
\(444\) −3.17065 1.12236i −0.150472 0.0532649i
\(445\) −9.20710 + 36.2082i −0.436458 + 1.71643i
\(446\) 24.3329 17.6789i 1.15219 0.837118i
\(447\) −1.47450 + 4.16545i −0.0697417 + 0.197019i
\(448\) 1.80423 5.55284i 0.0852418 0.262347i
\(449\) 12.3658 17.0201i 0.583581 0.803230i −0.410502 0.911860i \(-0.634646\pi\)
0.994082 + 0.108630i \(0.0346464\pi\)
\(450\) −1.74451 22.2668i −0.0822369 1.04967i
\(451\) 27.0966 10.7671i 1.27593 0.507003i
\(452\) −0.0262214 −0.00123335
\(453\) −12.1569 + 3.60262i −0.571183 + 0.169266i
\(454\) 0.296960 0.913950i 0.0139370 0.0428938i
\(455\) −2.44062 + 3.86562i −0.114418 + 0.181223i
\(456\) 27.6880 + 0.721744i 1.29661 + 0.0337988i
\(457\) 23.4701 17.0520i 1.09789 0.797660i 0.117172 0.993112i \(-0.462617\pi\)
0.980713 + 0.195451i \(0.0626172\pi\)
\(458\) 26.2490 8.52881i 1.22653 0.398525i
\(459\) −1.04766 + 1.22754i −0.0489007 + 0.0572967i
\(460\) 0.181650 + 2.78406i 0.00846950 + 0.129808i
\(461\) −16.9353 −0.788757 −0.394378 0.918948i \(-0.629040\pi\)
−0.394378 + 0.918948i \(0.629040\pi\)
\(462\) 5.96701 + 3.99793i 0.277610 + 0.186001i
\(463\) 11.4918i 0.534068i −0.963687 0.267034i \(-0.913956\pi\)
0.963687 0.267034i \(-0.0860437\pi\)
\(464\) −8.67805 6.30497i −0.402868 0.292701i
\(465\) 10.3439 + 2.91927i 0.479689 + 0.135378i
\(466\) 6.35488 + 19.5583i 0.294384 + 0.906021i
\(467\) 25.5366 18.5534i 1.18169 0.858550i 0.189331 0.981913i \(-0.439368\pi\)
0.992362 + 0.123363i \(0.0393680\pi\)
\(468\) 1.23273 + 0.997761i 0.0569830 + 0.0461215i
\(469\) 1.36091 0.442187i 0.0628410 0.0204183i
\(470\) 0.487997 + 1.22423i 0.0225096 + 0.0564693i
\(471\) −9.59543 + 2.84354i −0.442134 + 0.131023i
\(472\) −29.4289 −1.35457
\(473\) 7.03186 + 8.47868i 0.323325 + 0.389850i
\(474\) 4.59264 + 3.52319i 0.210947 + 0.161826i
\(475\) −20.7192 21.8594i −0.950664 1.00298i
\(476\) −0.0538530 0.0174979i −0.00246835 0.000802014i
\(477\) 18.8669 12.2587i 0.863858 0.561288i
\(478\) −8.09587 11.1430i −0.370297 0.509670i
\(479\) 6.97638 5.06864i 0.318759 0.231592i −0.416887 0.908958i \(-0.636879\pi\)
0.735646 + 0.677366i \(0.236879\pi\)
\(480\) 1.63862 + 4.44410i 0.0747926 + 0.202845i
\(481\) 20.7103 + 6.72918i 0.944308 + 0.306824i
\(482\) −12.3848 8.99810i −0.564113 0.409852i
\(483\) −6.63143 5.08722i −0.301741 0.231477i
\(484\) 2.36875 0.305197i 0.107670 0.0138726i
\(485\) −4.90628 + 4.07806i −0.222783 + 0.185175i
\(486\) 15.9675 16.8463i 0.724302 0.764164i
\(487\) −34.7245 11.2827i −1.57352 0.511266i −0.613140 0.789974i \(-0.710094\pi\)
−0.960376 + 0.278708i \(0.910094\pi\)
\(488\) −6.08454 18.7263i −0.275434 0.847700i
\(489\) −0.679126 + 26.0531i −0.0307111 + 1.17816i
\(490\) 5.16511 20.3125i 0.233336 0.917625i
\(491\) 11.5791 + 35.6367i 0.522556 + 1.60826i 0.769099 + 0.639129i \(0.220705\pi\)
−0.246543 + 0.969132i \(0.579295\pi\)
\(492\) 2.72442 1.87292i 0.122826 0.0844376i
\(493\) 0.446356 0.614357i 0.0201029 0.0276692i
\(494\) 21.8382 0.982546
\(495\) 22.1825 1.71368i 0.997029 0.0770242i
\(496\) −12.1747 −0.546661
\(497\) −0.327430 + 0.450669i −0.0146872 + 0.0202153i
\(498\) −0.942813 + 0.648142i −0.0422484 + 0.0290439i
\(499\) 0.669241 + 2.05971i 0.0299593 + 0.0922054i 0.964918 0.262551i \(-0.0845638\pi\)
−0.934959 + 0.354756i \(0.884564\pi\)
\(500\) 1.01825 2.20360i 0.0455373 0.0985481i
\(501\) 0.827300 31.7375i 0.0369611 1.41792i
\(502\) 1.33269 + 4.10159i 0.0594807 + 0.183063i
\(503\) −27.3239 8.87809i −1.21831 0.395854i −0.371847 0.928294i \(-0.621275\pi\)
−0.846468 + 0.532440i \(0.821275\pi\)
\(504\) −6.24388 2.39510i −0.278125 0.106686i
\(505\) 20.6160 + 24.8029i 0.917398 + 1.10371i
\(506\) −28.3214 + 1.81700i −1.25904 + 0.0807754i
\(507\) 9.71853 + 7.45545i 0.431615 + 0.331108i
\(508\) 0.975859 + 0.709003i 0.0432967 + 0.0314569i
\(509\) −19.0581 6.19235i −0.844736 0.274471i −0.145496 0.989359i \(-0.546478\pi\)
−0.699239 + 0.714888i \(0.746478\pi\)
\(510\) −1.68049 + 0.619628i −0.0744134 + 0.0274376i
\(511\) −10.9674 + 7.96829i −0.485170 + 0.352496i
\(512\) 10.5376 + 14.5037i 0.465700 + 0.640981i
\(513\) 2.44464 31.2044i 0.107934 1.37771i
\(514\) −13.9055 4.51816i −0.613344 0.199288i
\(515\) 10.3738 0.676857i 0.457126 0.0298259i
\(516\) 0.990981 + 0.760220i 0.0436255 + 0.0334668i
\(517\) −1.22002 + 0.484785i −0.0536563 + 0.0213208i
\(518\) 11.1825 0.491333
\(519\) 8.10364 2.40146i 0.355710 0.105412i
\(520\) −5.35173 13.4258i −0.234689 0.588758i
\(521\) −14.8418 + 4.82239i −0.650231 + 0.211273i −0.615516 0.788125i \(-0.711052\pi\)
−0.0347148 + 0.999397i \(0.511052\pi\)
\(522\) −6.87143 + 8.48963i −0.300754 + 0.371581i
\(523\) 18.0675 13.1268i 0.790037 0.573995i −0.117938 0.993021i \(-0.537628\pi\)
0.907974 + 0.419026i \(0.137628\pi\)
\(524\) −0.140209 0.431520i −0.00612507 0.0188510i
\(525\) 2.95466 + 6.64473i 0.128952 + 0.290000i
\(526\) −32.0844 23.3107i −1.39895 1.01639i
\(527\) 0.861902i 0.0375450i
\(528\) −23.6553 + 8.69298i −1.02946 + 0.378313i
\(529\) 10.0240 0.435827
\(530\) 24.9180 1.62581i 1.08237 0.0706208i
\(531\) −1.73263 + 33.2115i −0.0751896 + 1.44126i
\(532\) 1.04447 0.339369i 0.0452835 0.0147135i
\(533\) −17.3169 + 12.5815i −0.750078 + 0.544964i
\(534\) −43.0759 1.12286i −1.86408 0.0485909i
\(535\) 31.3796 + 19.8121i 1.35666 + 0.856550i
\(536\) −1.39797 + 4.30250i −0.0603830 + 0.185840i
\(537\) 23.9336 7.09256i 1.03281 0.306067i
\(538\) −0.139891 −0.00603112
\(539\) 20.2283 + 5.16709i 0.871295 + 0.222562i
\(540\) 2.40920 0.748237i 0.103675 0.0321990i
\(541\) −4.61175 + 6.34754i −0.198275 + 0.272902i −0.896564 0.442914i \(-0.853945\pi\)
0.698289 + 0.715815i \(0.253945\pi\)
\(542\) −7.57152 + 23.3028i −0.325225 + 1.00094i
\(543\) 7.79705 22.0265i 0.334604 0.945248i
\(544\) 0.307293 0.223261i 0.0131751 0.00957225i
\(545\) −9.60296 + 37.7649i −0.411346 + 1.61767i
\(546\) −4.97055 1.75950i −0.212720 0.0752997i
\(547\) 9.75347 30.0181i 0.417028 1.28348i −0.493396 0.869805i \(-0.664245\pi\)
0.910424 0.413676i \(-0.135755\pi\)
\(548\) −1.77004 1.28601i −0.0756126 0.0549357i
\(549\) −21.4915 + 5.76410i −0.917234 + 0.246006i
\(550\) 22.4037 + 10.3819i 0.955296 + 0.442685i
\(551\) 14.7282i 0.627442i
\(552\) 25.3346 7.50772i 1.07831 0.319550i
\(553\) −1.79239 0.582383i −0.0762202 0.0247655i
\(554\) −1.82226 + 0.592087i −0.0774203 + 0.0251554i
\(555\) 27.2064 21.4400i 1.15485 0.910078i
\(556\) −0.106654 0.146797i −0.00452315 0.00622558i
\(557\) −37.1728 + 12.0782i −1.57506 + 0.511769i −0.960779 0.277316i \(-0.910555\pi\)
−0.614284 + 0.789085i \(0.710555\pi\)
\(558\) −0.645838 + 12.3796i −0.0273405 + 0.524071i
\(559\) −6.54205 4.75308i −0.276699 0.201034i
\(560\) −5.26541 6.33478i −0.222504 0.267693i
\(561\) −0.615414 1.67466i −0.0259828 0.0707042i
\(562\) 18.0603i 0.761829i
\(563\) 5.84141 8.04001i 0.246186 0.338846i −0.667985 0.744175i \(-0.732843\pi\)
0.914171 + 0.405329i \(0.132843\pi\)
\(564\) −0.122666 + 0.0843275i −0.00516517 + 0.00355083i
\(565\) 0.144168 0.228343i 0.00606521 0.00960648i
\(566\) −17.1334 23.5821i −0.720171 0.991230i
\(567\) −3.07056 + 6.90542i −0.128951 + 0.290000i
\(568\) −0.544219 1.67493i −0.0228349 0.0702786i
\(569\) 11.6643 35.8991i 0.488994 1.50497i −0.337119 0.941462i \(-0.609452\pi\)
0.826112 0.563506i \(-0.190548\pi\)
\(570\) 19.3044 28.8800i 0.808573 1.20965i
\(571\) 19.5186i 0.816829i 0.912797 + 0.408414i \(0.133918\pi\)
−0.912797 + 0.408414i \(0.866082\pi\)
\(572\) −1.62938 + 0.647450i −0.0681279 + 0.0270712i
\(573\) −5.24144 + 6.83246i −0.218964 + 0.285430i
\(574\) −6.46088 + 8.89264i −0.269672 + 0.371172i
\(575\) −25.2432 13.7253i −1.05271 0.572383i
\(576\) 17.4916 11.3651i 0.728817 0.473545i
\(577\) −0.640516 0.881595i −0.0266650 0.0367013i 0.795476 0.605985i \(-0.207221\pi\)
−0.822141 + 0.569283i \(0.807221\pi\)
\(578\) −14.7942 20.3624i −0.615357 0.846966i
\(579\) 7.69177 21.7291i 0.319659 0.903030i
\(580\) −1.10268 + 0.439549i −0.0457865 + 0.0182513i
\(581\) 0.218956 0.301366i 0.00908381 0.0125028i
\(582\) −5.83828 4.47877i −0.242005 0.185651i
\(583\) 1.59258 + 24.8233i 0.0659578 + 1.02808i
\(584\) 42.8586i 1.77350i
\(585\) −15.4665 + 5.24917i −0.639461 + 0.217026i
\(586\) 4.27532 13.1581i 0.176612 0.543556i
\(587\) 3.49714 + 10.7631i 0.144342 + 0.444240i 0.996926 0.0783509i \(-0.0249655\pi\)
−0.852583 + 0.522591i \(0.824965\pi\)
\(588\) 2.36648 + 0.0616872i 0.0975922 + 0.00254394i
\(589\) 9.82568 + 13.5239i 0.404860 + 0.557242i
\(590\) −19.7046 + 31.2095i −0.811227 + 1.28487i
\(591\) −0.0868506 0.126336i −0.00357256 0.00519678i
\(592\) −23.0631 + 31.7436i −0.947886 + 1.30465i
\(593\) 11.8491i 0.486583i 0.969953 + 0.243292i \(0.0782272\pi\)
−0.969953 + 0.243292i \(0.921773\pi\)
\(594\) 7.58442 + 24.5145i 0.311193 + 1.00584i
\(595\) 0.448467 0.372762i 0.0183853 0.0152817i
\(596\) −0.448121 0.325579i −0.0183558 0.0133362i
\(597\) 36.7517 25.2652i 1.50415 1.03403i
\(598\) 19.8141 6.43800i 0.810261 0.263270i
\(599\) 1.06761 + 1.46944i 0.0436214 + 0.0600397i 0.830271 0.557361i \(-0.188186\pi\)
−0.786649 + 0.617400i \(0.788186\pi\)
\(600\) −22.4858 4.79061i −0.917978 0.195576i
\(601\) −1.91562 + 0.622424i −0.0781399 + 0.0253892i −0.347826 0.937559i \(-0.613080\pi\)
0.269686 + 0.962948i \(0.413080\pi\)
\(602\) −3.94933 1.28321i −0.160963 0.0522999i
\(603\) 4.77321 + 1.83096i 0.194380 + 0.0745626i
\(604\) 1.58944i 0.0646734i
\(605\) −10.3659 + 22.3058i −0.421435 + 0.906859i
\(606\) −22.6417 + 29.5145i −0.919756 + 1.19894i
\(607\) −19.2387 13.9777i −0.780874 0.567338i 0.124367 0.992236i \(-0.460310\pi\)
−0.905241 + 0.424898i \(0.860310\pi\)
\(608\) −2.27648 + 7.00628i −0.0923234 + 0.284142i
\(609\) 1.18665 3.35226i 0.0480854 0.135840i
\(610\) −23.9333 6.08583i −0.969033 0.246408i
\(611\) 0.779688 0.566476i 0.0315428 0.0229172i
\(612\) −0.110222 0.169638i −0.00445544 0.00685721i
\(613\) −6.14878 + 18.9240i −0.248347 + 0.764333i 0.746721 + 0.665137i \(0.231627\pi\)
−0.995068 + 0.0991959i \(0.968373\pi\)
\(614\) 20.2151 27.8237i 0.815815 1.12287i
\(615\) 1.33072 + 34.0226i 0.0536599 + 1.37192i
\(616\) 5.69080 4.71971i 0.229289 0.190162i
\(617\) −7.42907 −0.299083 −0.149542 0.988755i \(-0.547780\pi\)
−0.149542 + 0.988755i \(0.547780\pi\)
\(618\) 3.40681 + 11.4962i 0.137042 + 0.462445i
\(619\) −3.02156 + 9.29941i −0.121447 + 0.373775i −0.993237 0.116105i \(-0.962959\pi\)
0.871790 + 0.489879i \(0.162959\pi\)
\(620\) −0.719282 + 1.13925i −0.0288871 + 0.0457533i
\(621\) −6.98114 29.0330i −0.280144 1.16505i
\(622\) 18.5720 13.4934i 0.744671 0.541035i
\(623\) 13.3432 4.33545i 0.534582 0.173696i
\(624\) 15.2460 10.4809i 0.610328 0.419574i
\(625\) 13.5912 + 20.9829i 0.543647 + 0.839314i
\(626\) 28.8123 1.15157
\(627\) 28.7474 + 19.2609i 1.14806 + 0.769208i
\(628\) 1.25454i 0.0500615i
\(629\) −2.24727 1.63273i −0.0896043 0.0651014i
\(630\) −6.72071 + 5.01799i −0.267760 + 0.199921i
\(631\) −11.8841 36.5754i −0.473098 1.45604i −0.848506 0.529185i \(-0.822498\pi\)
0.375409 0.926859i \(-0.377502\pi\)
\(632\) 4.82031 3.50216i 0.191742 0.139309i
\(633\) −1.06374 + 40.8078i −0.0422798 + 1.62196i
\(634\) −16.4342 + 5.33978i −0.652684 + 0.212070i
\(635\) −11.5396 + 4.59988i −0.457935 + 0.182541i
\(636\) 0.801372 + 2.70421i 0.0317765 + 0.107229i
\(637\) −15.3267 −0.607265
\(638\) −4.45889 11.2213i −0.176529 0.444256i
\(639\) −1.92226 + 0.515557i −0.0760434 + 0.0203951i
\(640\) 28.5593 1.86339i 1.12890 0.0736571i
\(641\) 35.1825 + 11.4315i 1.38962 + 0.451516i 0.905821 0.423660i \(-0.139255\pi\)
0.483804 + 0.875177i \(0.339255\pi\)
\(642\) −14.2830 + 40.3491i −0.563704 + 1.59245i
\(643\) 11.1695 + 15.3735i 0.440482 + 0.606271i 0.970319 0.241828i \(-0.0777470\pi\)
−0.529837 + 0.848099i \(0.677747\pi\)
\(644\) 0.847617 0.615830i 0.0334008 0.0242671i
\(645\) −12.0687 + 4.44997i −0.475207 + 0.175217i
\(646\) −2.64935 0.860826i −0.104237 0.0338688i
\(647\) 3.08779 + 2.24341i 0.121394 + 0.0881975i 0.646825 0.762638i \(-0.276096\pi\)
−0.525432 + 0.850836i \(0.676096\pi\)
\(648\) −11.9560 20.6857i −0.469677 0.812612i
\(649\) −31.0674 19.6621i −1.21950 0.771806i
\(650\) −17.8214 3.31391i −0.699014 0.129982i
\(651\) −1.14679 3.86981i −0.0449462 0.151670i
\(652\) −3.10709 1.00955i −0.121683 0.0395372i
\(653\) 9.63447 + 29.6518i 0.377026 + 1.16037i 0.942102 + 0.335327i \(0.108847\pi\)
−0.565076 + 0.825039i \(0.691153\pi\)
\(654\) −44.9280 1.17114i −1.75682 0.0457951i
\(655\) 4.52869 + 1.15157i 0.176950 + 0.0449954i
\(656\) −11.9183 36.6807i −0.465330 1.43214i
\(657\) −48.3673 2.52330i −1.88699 0.0984432i
\(658\) 0.290899 0.400389i 0.0113404 0.0156088i
\(659\) −25.0775 −0.976880 −0.488440 0.872598i \(-0.662434\pi\)
−0.488440 + 0.872598i \(0.662434\pi\)
\(660\) −0.584109 + 2.72712i −0.0227364 + 0.106153i
\(661\) 15.8866 0.617918 0.308959 0.951075i \(-0.400019\pi\)
0.308959 + 0.951075i \(0.400019\pi\)
\(662\) 3.57905 4.92614i 0.139104 0.191460i
\(663\) 0.741992 + 1.07933i 0.0288166 + 0.0419177i
\(664\) 0.363924 + 1.12004i 0.0141230 + 0.0434661i
\(665\) −2.78730 + 10.9614i −0.108087 + 0.425066i
\(666\) 31.0544 + 25.1351i 1.20333 + 0.973966i
\(667\) 4.34194 + 13.3631i 0.168121 + 0.517422i
\(668\) 3.78501 + 1.22982i 0.146446 + 0.0475833i
\(669\) −33.5446 + 9.94071i −1.29691 + 0.384330i
\(670\) 3.62679 + 4.36336i 0.140115 + 0.168571i
\(671\) 6.08816 23.8342i 0.235031 0.920108i
\(672\) 1.08264 1.41127i 0.0417638 0.0544410i
\(673\) 24.0483 + 17.4721i 0.926995 + 0.673501i 0.945255 0.326332i \(-0.105813\pi\)
−0.0182602 + 0.999833i \(0.505813\pi\)
\(674\) 27.1289 + 8.81472i 1.04497 + 0.339530i
\(675\) −6.73021 + 25.0939i −0.259046 + 0.965865i
\(676\) −1.24220 + 0.902514i −0.0477771 + 0.0347121i
\(677\) −16.0277 22.0602i −0.615995 0.847844i 0.381059 0.924551i \(-0.375559\pi\)
−0.997054 + 0.0767069i \(0.975559\pi\)
\(678\) 0.293612 + 0.103934i 0.0112761 + 0.00399157i
\(679\) 2.27853 + 0.740340i 0.0874421 + 0.0284116i
\(680\) 0.120036 + 1.83973i 0.00460318 + 0.0705506i
\(681\) −0.680396 + 0.886928i −0.0260728 + 0.0339872i
\(682\) −11.5804 7.32908i −0.443437 0.280645i
\(683\) 15.5577 0.595300 0.297650 0.954675i \(-0.403797\pi\)
0.297650 + 0.954675i \(0.403797\pi\)
\(684\) 3.66333 + 1.40522i 0.140071 + 0.0537301i
\(685\) 20.9309 8.34341i 0.799728 0.318785i
\(686\) −15.8093 + 5.13674i −0.603600 + 0.196122i
\(687\) −32.0940 0.836596i −1.22446 0.0319181i
\(688\) 11.7878 8.56433i 0.449405 0.326512i
\(689\) −5.64284 17.3669i −0.214975 0.661625i
\(690\) 9.00124 31.8944i 0.342671 1.21420i
\(691\) −14.9402 10.8547i −0.568353 0.412933i 0.266153 0.963931i \(-0.414247\pi\)
−0.834507 + 0.550998i \(0.814247\pi\)
\(692\) 1.05950i 0.0402760i
\(693\) −4.99130 6.70013i −0.189604 0.254517i
\(694\) 17.4051 0.660688
\(695\) 1.86475 0.121668i 0.0707340 0.00461515i
\(696\) 6.36894 + 9.26451i 0.241414 + 0.351170i
\(697\) 2.59678 0.843746i 0.0983602 0.0319592i
\(698\) 10.9035 7.92189i 0.412705 0.299848i
\(699\) 0.623353 23.9135i 0.0235774 0.904492i
\(700\) −0.903856 + 0.118451i −0.0341626 + 0.00447703i
\(701\) −13.1164 + 40.3682i −0.495401 + 1.52469i 0.320930 + 0.947103i \(0.396005\pi\)
−0.816331 + 0.577584i \(0.803995\pi\)
\(702\) −9.84858 16.0586i −0.371711 0.606091i
\(703\) 53.8744 2.03191
\(704\) 1.47648 + 23.0138i 0.0556470 + 0.867365i
\(705\) −0.0599154 1.53185i −0.00225654 0.0576930i
\(706\) −7.96659 + 10.9651i −0.299827 + 0.412676i
\(707\) 3.74267 11.5188i 0.140758 0.433207i
\(708\) −3.92993 1.39113i −0.147696 0.0522821i
\(709\) −12.3701 + 8.98739i −0.464568 + 0.337528i −0.795321 0.606189i \(-0.792697\pi\)
0.330753 + 0.943717i \(0.392697\pi\)
\(710\) −2.14067 0.544334i −0.0803378 0.0204285i
\(711\) −3.66851 5.64608i −0.137580 0.211744i
\(712\) −13.7065 + 42.1842i −0.513672 + 1.58092i
\(713\) 12.9019 + 9.37379i 0.483181 + 0.351051i
\(714\) 0.533658 + 0.409389i 0.0199717 + 0.0153210i
\(715\) 3.32036 17.7489i 0.124174 0.663771i
\(716\) 3.12916i 0.116942i
\(717\) 4.55226 + 15.3615i 0.170007 + 0.573684i
\(718\) 6.35880 + 2.06610i 0.237308 + 0.0771061i
\(719\) 20.6602 6.71290i 0.770494 0.250349i 0.102718 0.994711i \(-0.467246\pi\)
0.667777 + 0.744362i \(0.267246\pi\)
\(720\) −0.383513 29.4271i −0.0142927 1.09668i
\(721\) −2.29467 3.15835i −0.0854581 0.117623i
\(722\) 24.4774 7.95318i 0.910954 0.295987i
\(723\) 10.0879 + 14.6743i 0.375173 + 0.545741i
\(724\) 2.36963 + 1.72163i 0.0880665 + 0.0639840i
\(725\) 2.23498 12.0192i 0.0830050 0.446382i
\(726\) −27.7336 5.97164i −1.02929 0.221628i
\(727\) 50.7394i 1.88182i −0.338656 0.940910i \(-0.609972\pi\)
0.338656 0.940910i \(-0.390028\pi\)
\(728\) −3.19021 + 4.39095i −0.118237 + 0.162740i
\(729\) −24.0484 + 12.2749i −0.890683 + 0.454626i
\(730\) −45.4517 28.6967i −1.68224 1.06211i
\(731\) 0.606306 + 0.834508i 0.0224250 + 0.0308654i
\(732\) 0.0726834 2.78833i 0.00268646 0.103060i
\(733\) −6.96380 21.4324i −0.257214 0.791623i −0.993385 0.114828i \(-0.963368\pi\)
0.736171 0.676795i \(-0.236632\pi\)
\(734\) −4.22024 + 12.9886i −0.155772 + 0.479417i
\(735\) −13.5484 + 20.2689i −0.499741 + 0.747628i
\(736\) 7.02803i 0.259057i
\(737\) −4.35040 + 3.60804i −0.160249 + 0.132904i
\(738\) −37.9302 + 10.1730i −1.39623 + 0.374474i
\(739\) 11.1028 15.2817i 0.408424 0.562148i −0.554409 0.832244i \(-0.687056\pi\)
0.962833 + 0.270097i \(0.0870556\pi\)
\(740\) 1.60783 + 4.03353i 0.0591051 + 0.148275i
\(741\) −23.9468 8.47679i −0.879707 0.311403i
\(742\) −5.51181 7.58636i −0.202345 0.278504i
\(743\) −22.5417 31.0260i −0.826975 1.13823i −0.988479 0.151361i \(-0.951634\pi\)
0.161504 0.986872i \(-0.448366\pi\)
\(744\) 12.0288 + 4.25803i 0.440999 + 0.156107i
\(745\) 5.29906 2.11229i 0.194143 0.0773885i
\(746\) −27.7217 + 38.1557i −1.01496 + 1.39698i
\(747\) 1.28543 0.344758i 0.0470315 0.0126140i
\(748\) 0.223194 0.0143193i 0.00816078 0.000523566i
\(749\) 13.9360i 0.509211i
\(750\) −20.1362 + 20.6386i −0.735270 + 0.753617i
\(751\) −0.891345 + 2.74328i −0.0325256 + 0.100104i −0.966001 0.258537i \(-0.916760\pi\)
0.933476 + 0.358641i \(0.116760\pi\)
\(752\) 0.536616 + 1.65154i 0.0195684 + 0.0602253i
\(753\) 0.130724 5.01492i 0.00476385 0.182754i
\(754\) 5.21026 + 7.17131i 0.189746 + 0.261164i
\(755\) 13.8413 + 8.73893i 0.503736 + 0.318042i
\(756\) −0.720587 0.614996i −0.0262075 0.0223672i
\(757\) 21.3847 29.4335i 0.777239 1.06978i −0.218343 0.975872i \(-0.570065\pi\)
0.995581 0.0939049i \(-0.0299350\pi\)
\(758\) 13.8584i 0.503358i
\(759\) 31.7612 + 9.00090i 1.15286 + 0.326712i
\(760\) −22.8564 27.4984i −0.829090 0.997472i
\(761\) 3.03234 + 2.20312i 0.109922 + 0.0798631i 0.641388 0.767216i \(-0.278359\pi\)
−0.531466 + 0.847079i \(0.678359\pi\)
\(762\) −8.11682 11.8070i −0.294042 0.427724i
\(763\) 13.9168 4.52186i 0.503824 0.163702i
\(764\) −0.634499 0.873313i −0.0229554 0.0315953i
\(765\) 2.08327 0.0271506i 0.0753208 0.000981631i
\(766\) 38.0807 12.3732i 1.37591 0.447061i
\(767\) 25.6698 + 8.34063i 0.926884 + 0.301163i
\(768\) 2.53529 + 8.55527i 0.0914845 + 0.308712i
\(769\) 42.5876i 1.53575i −0.640602 0.767873i \(-0.721315\pi\)
0.640602 0.767873i \(-0.278685\pi\)
\(770\) −1.19490 9.19529i −0.0430612 0.331375i
\(771\) 13.4943 + 10.3520i 0.485987 + 0.372819i
\(772\) 2.33763 + 1.69839i 0.0841331 + 0.0611262i
\(773\) 11.2114 34.5052i 0.403247 1.24107i −0.519103 0.854712i \(-0.673734\pi\)
0.922350 0.386355i \(-0.126266\pi\)