Properties

Label 224.3.w.a.43.18
Level 224
Weight 3
Character 224.43
Analytic conductor 6.104
Analytic rank 0
Dimension 192
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.w (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 43.18
Character \(\chi\) \(=\) 224.43
Dual form 224.3.w.a.99.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.521176 + 1.93090i) q^{2} +(1.24651 + 3.00935i) q^{3} +(-3.45675 - 2.01268i) q^{4} +(3.27130 - 7.89762i) q^{5} +(-6.46041 + 0.838495i) q^{6} +(1.87083 - 1.87083i) q^{7} +(5.68785 - 5.62569i) q^{8} +(-1.13845 + 1.13845i) q^{9} +O(q^{10})\) \(q+(-0.521176 + 1.93090i) q^{2} +(1.24651 + 3.00935i) q^{3} +(-3.45675 - 2.01268i) q^{4} +(3.27130 - 7.89762i) q^{5} +(-6.46041 + 0.838495i) q^{6} +(1.87083 - 1.87083i) q^{7} +(5.68785 - 5.62569i) q^{8} +(-1.13845 + 1.13845i) q^{9} +(13.5446 + 10.4326i) q^{10} +(4.18907 - 10.1133i) q^{11} +(1.74796 - 12.9114i) q^{12} +(0.620257 + 1.49743i) q^{13} +(2.63735 + 4.58741i) q^{14} +27.8444 q^{15} +(7.89827 + 13.9146i) q^{16} -23.2417i q^{17} +(-1.60490 - 2.79156i) q^{18} +(-4.35068 + 1.80211i) q^{19} +(-27.2034 + 20.7160i) q^{20} +(7.96200 + 3.29797i) q^{21} +(17.3445 + 13.3595i) q^{22} +(8.74225 + 8.74225i) q^{23} +(24.0197 + 10.1043i) q^{24} +(-33.9933 - 33.9933i) q^{25} +(-3.21466 + 0.417229i) q^{26} +(22.2391 + 9.21174i) q^{27} +(-10.2324 + 2.70162i) q^{28} +(-46.5333 + 19.2747i) q^{29} +(-14.5118 + 53.7648i) q^{30} +41.9535i q^{31} +(-30.9842 + 7.99880i) q^{32} +35.6562 q^{33} +(44.8775 + 12.1130i) q^{34} +(-8.65504 - 20.8951i) q^{35} +(6.22665 - 1.64400i) q^{36} +(-9.02262 + 21.7825i) q^{37} +(-1.21223 - 9.33995i) q^{38} +(-3.73315 + 3.73315i) q^{39} +(-25.8228 - 63.3238i) q^{40} +(9.74615 - 9.74615i) q^{41} +(-10.5176 + 13.6550i) q^{42} +(12.1827 - 29.4115i) q^{43} +(-34.8354 + 26.5279i) q^{44} +(5.26682 + 12.7152i) q^{45} +(-21.4367 + 12.3242i) q^{46} +43.2930 q^{47} +(-32.0288 + 41.1135i) q^{48} -7.00000i q^{49} +(83.3541 - 47.9211i) q^{50} +(69.9426 - 28.9712i) q^{51} +(0.869773 - 6.42464i) q^{52} +(87.4438 + 36.2204i) q^{53} +(-29.3774 + 38.1406i) q^{54} +(-66.1673 - 66.1673i) q^{55} +(0.116301 - 21.1657i) q^{56} +(-10.8464 - 10.8464i) q^{57} +(-12.9656 - 99.8967i) q^{58} +(-14.4717 - 5.99437i) q^{59} +(-96.2513 - 56.0418i) q^{60} +(47.7745 - 19.7888i) q^{61} +(-81.0081 - 21.8652i) q^{62} +4.25968i q^{63} +(0.703310 - 63.9961i) q^{64} +13.8552 q^{65} +(-18.5832 + 68.8486i) q^{66} +(-20.8454 - 50.3252i) q^{67} +(-46.7781 + 80.3409i) q^{68} +(-15.4112 + 37.2059i) q^{69} +(44.8572 - 5.82200i) q^{70} +(-52.4968 + 52.4968i) q^{71} +(-0.0707720 + 12.8799i) q^{72} +(-71.0424 + 71.0424i) q^{73} +(-37.3575 - 28.7743i) q^{74} +(59.9246 - 144.671i) q^{75} +(18.6663 + 2.52706i) q^{76} +(-11.0832 - 26.7573i) q^{77} +(-5.26271 - 9.15396i) q^{78} +147.564 q^{79} +(135.730 - 16.8585i) q^{80} +92.8979i q^{81} +(13.7394 + 23.8983i) q^{82} +(3.89865 - 1.61487i) q^{83} +(-20.8849 - 27.4252i) q^{84} +(-183.554 - 76.0307i) q^{85} +(50.4415 + 38.8521i) q^{86} +(-116.009 - 116.009i) q^{87} +(-33.0675 - 81.0893i) q^{88} +(83.3683 + 83.3683i) q^{89} +(-27.2968 + 3.54284i) q^{90} +(3.96184 + 1.64105i) q^{91} +(-12.6245 - 47.8151i) q^{92} +(-126.253 + 52.2957i) q^{93} +(-22.5633 + 83.5945i) q^{94} +40.2553i q^{95} +(-62.6935 - 83.2717i) q^{96} -117.457 q^{97} +(13.5163 + 3.64823i) q^{98} +(6.74443 + 16.2825i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192q + O(q^{10}) \) \( 192q + 80q^{10} + 96q^{12} - 20q^{16} - 60q^{18} - 260q^{22} + 64q^{23} - 144q^{24} - 200q^{26} + 192q^{27} - 40q^{30} + 40q^{32} + 120q^{34} + 464q^{36} + 504q^{38} - 384q^{39} + 360q^{40} - 96q^{43} + 52q^{44} + 64q^{46} - 104q^{48} - 312q^{50} - 384q^{51} - 320q^{52} + 160q^{53} - 576q^{54} - 512q^{55} - 196q^{56} - 360q^{58} - 872q^{60} + 128q^{61} - 408q^{62} + 832q^{66} + 160q^{67} + 856q^{68} - 384q^{69} + 336q^{70} + 1488q^{72} + 308q^{74} + 768q^{75} + 1024q^{76} - 224q^{77} - 408q^{78} + 1024q^{79} - 1040q^{80} - 240q^{82} - 1384q^{86} + 896q^{87} - 560q^{88} - 1320q^{90} - 380q^{92} - 936q^{94} - 1088q^{96} - 512q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.521176 + 1.93090i −0.260588 + 0.965450i
\(3\) 1.24651 + 3.00935i 0.415505 + 1.00312i 0.983634 + 0.180178i \(0.0576675\pi\)
−0.568129 + 0.822940i \(0.692333\pi\)
\(4\) −3.45675 2.01268i −0.864188 0.503169i
\(5\) 3.27130 7.89762i 0.654260 1.57952i −0.152276 0.988338i \(-0.548660\pi\)
0.806536 0.591185i \(-0.201340\pi\)
\(6\) −6.46041 + 0.838495i −1.07674 + 0.139749i
\(7\) 1.87083 1.87083i 0.267261 0.267261i
\(8\) 5.68785 5.62569i 0.710981 0.703211i
\(9\) −1.13845 + 1.13845i −0.126494 + 0.126494i
\(10\) 13.5446 + 10.4326i 1.35446 + 1.04326i
\(11\) 4.18907 10.1133i 0.380824 0.919391i −0.610983 0.791644i \(-0.709225\pi\)
0.991807 0.127747i \(-0.0407745\pi\)
\(12\) 1.74796 12.9114i 0.145663 1.07595i
\(13\) 0.620257 + 1.49743i 0.0477121 + 0.115187i 0.945939 0.324346i \(-0.105144\pi\)
−0.898227 + 0.439533i \(0.855144\pi\)
\(14\) 2.63735 + 4.58741i 0.188382 + 0.327672i
\(15\) 27.8444 1.85630
\(16\) 7.89827 + 13.9146i 0.493642 + 0.869665i
\(17\) 23.2417i 1.36716i −0.729875 0.683581i \(-0.760422\pi\)
0.729875 0.683581i \(-0.239578\pi\)
\(18\) −1.60490 2.79156i −0.0891609 0.155087i
\(19\) −4.35068 + 1.80211i −0.228983 + 0.0948480i −0.494225 0.869334i \(-0.664548\pi\)
0.265242 + 0.964182i \(0.414548\pi\)
\(20\) −27.2034 + 20.7160i −1.36017 + 1.03580i
\(21\) 7.96200 + 3.29797i 0.379143 + 0.157046i
\(22\) 17.3445 + 13.3595i 0.788388 + 0.607249i
\(23\) 8.74225 + 8.74225i 0.380098 + 0.380098i 0.871137 0.491040i \(-0.163383\pi\)
−0.491040 + 0.871137i \(0.663383\pi\)
\(24\) 24.0197 + 10.1043i 1.00082 + 0.421011i
\(25\) −33.9933 33.9933i −1.35973 1.35973i
\(26\) −3.21466 + 0.417229i −0.123641 + 0.0160473i
\(27\) 22.2391 + 9.21174i 0.823670 + 0.341175i
\(28\) −10.2324 + 2.70162i −0.365442 + 0.0964864i
\(29\) −46.5333 + 19.2747i −1.60460 + 0.664646i −0.992056 0.125794i \(-0.959852\pi\)
−0.612540 + 0.790439i \(0.709852\pi\)
\(30\) −14.5118 + 53.7648i −0.483728 + 1.79216i
\(31\) 41.9535i 1.35334i 0.736287 + 0.676670i \(0.236577\pi\)
−0.736287 + 0.676670i \(0.763423\pi\)
\(32\) −30.9842 + 7.99880i −0.968256 + 0.249962i
\(33\) 35.6562 1.08049
\(34\) 44.8775 + 12.1130i 1.31993 + 0.356265i
\(35\) −8.65504 20.8951i −0.247287 0.597004i
\(36\) 6.22665 1.64400i 0.172963 0.0456668i
\(37\) −9.02262 + 21.7825i −0.243855 + 0.588717i −0.997659 0.0683815i \(-0.978216\pi\)
0.753805 + 0.657099i \(0.228216\pi\)
\(38\) −1.21223 9.33995i −0.0319008 0.245788i
\(39\) −3.73315 + 3.73315i −0.0957217 + 0.0957217i
\(40\) −25.8228 63.3238i −0.645571 1.58309i
\(41\) 9.74615 9.74615i 0.237711 0.237711i −0.578191 0.815902i \(-0.696241\pi\)
0.815902 + 0.578191i \(0.196241\pi\)
\(42\) −10.5176 + 13.6550i −0.250420 + 0.325119i
\(43\) 12.1827 29.4115i 0.283318 0.683989i −0.716591 0.697494i \(-0.754299\pi\)
0.999909 + 0.0135040i \(0.00429860\pi\)
\(44\) −34.8354 + 26.5279i −0.791713 + 0.602908i
\(45\) 5.26682 + 12.7152i 0.117040 + 0.282560i
\(46\) −21.4367 + 12.3242i −0.466014 + 0.267917i
\(47\) 43.2930 0.921128 0.460564 0.887627i \(-0.347647\pi\)
0.460564 + 0.887627i \(0.347647\pi\)
\(48\) −32.0288 + 41.1135i −0.667266 + 0.856531i
\(49\) 7.00000i 0.142857i
\(50\) 83.3541 47.9211i 1.66708 0.958423i
\(51\) 69.9426 28.9712i 1.37142 0.568062i
\(52\) 0.869773 6.42464i 0.0167264 0.123551i
\(53\) 87.4438 + 36.2204i 1.64988 + 0.683404i 0.997239 0.0742598i \(-0.0236594\pi\)
0.652645 + 0.757664i \(0.273659\pi\)
\(54\) −29.3774 + 38.1406i −0.544026 + 0.706307i
\(55\) −66.1673 66.1673i −1.20304 1.20304i
\(56\) 0.116301 21.1657i 0.00207680 0.377959i
\(57\) −10.8464 10.8464i −0.190287 0.190287i
\(58\) −12.9656 99.8967i −0.223544 1.72236i
\(59\) −14.4717 5.99437i −0.245283 0.101600i 0.256655 0.966503i \(-0.417380\pi\)
−0.501938 + 0.864903i \(0.667380\pi\)
\(60\) −96.2513 56.0418i −1.60419 0.934031i
\(61\) 47.7745 19.7888i 0.783188 0.324407i 0.0449868 0.998988i \(-0.485675\pi\)
0.738201 + 0.674580i \(0.235675\pi\)
\(62\) −81.0081 21.8652i −1.30658 0.352664i
\(63\) 4.25968i 0.0676140i
\(64\) 0.703310 63.9961i 0.0109892 0.999940i
\(65\) 13.8552 0.213157
\(66\) −18.5832 + 68.8486i −0.281563 + 1.04316i
\(67\) −20.8454 50.3252i −0.311125 0.751122i −0.999664 0.0259225i \(-0.991748\pi\)
0.688539 0.725199i \(-0.258252\pi\)
\(68\) −46.7781 + 80.3409i −0.687913 + 1.18148i
\(69\) −15.4112 + 37.2059i −0.223350 + 0.539215i
\(70\) 44.8572 5.82200i 0.640817 0.0831714i
\(71\) −52.4968 + 52.4968i −0.739392 + 0.739392i −0.972460 0.233069i \(-0.925123\pi\)
0.233069 + 0.972460i \(0.425123\pi\)
\(72\) −0.0707720 + 12.8799i −0.000982944 + 0.178887i
\(73\) −71.0424 + 71.0424i −0.973184 + 0.973184i −0.999650 0.0264657i \(-0.991575\pi\)
0.0264657 + 0.999650i \(0.491575\pi\)
\(74\) −37.3575 28.7743i −0.504832 0.388842i
\(75\) 59.9246 144.671i 0.798995 1.92894i
\(76\) 18.6663 + 2.52706i 0.245609 + 0.0332508i
\(77\) −11.0832 26.7573i −0.143938 0.347497i
\(78\) −5.26271 9.15396i −0.0674707 0.117358i
\(79\) 147.564 1.86790 0.933949 0.357406i \(-0.116339\pi\)
0.933949 + 0.357406i \(0.116339\pi\)
\(80\) 135.730 16.8585i 1.69663 0.210732i
\(81\) 92.8979i 1.14689i
\(82\) 13.7394 + 23.8983i 0.167554 + 0.291443i
\(83\) 3.89865 1.61487i 0.0469717 0.0194563i −0.359074 0.933309i \(-0.616907\pi\)
0.406046 + 0.913853i \(0.366907\pi\)
\(84\) −20.8849 27.4252i −0.248630 0.326490i
\(85\) −183.554 76.0307i −2.15946 0.894479i
\(86\) 50.4415 + 38.8521i 0.586529 + 0.451768i
\(87\) −116.009 116.009i −1.33344 1.33344i
\(88\) −33.0675 81.0893i −0.375767 0.921470i
\(89\) 83.3683 + 83.3683i 0.936722 + 0.936722i 0.998114 0.0613915i \(-0.0195538\pi\)
−0.0613915 + 0.998114i \(0.519554\pi\)
\(90\) −27.2968 + 3.54284i −0.303297 + 0.0393648i
\(91\) 3.96184 + 1.64105i 0.0435367 + 0.0180335i
\(92\) −12.6245 47.8151i −0.137222 0.519729i
\(93\) −126.253 + 52.2957i −1.35756 + 0.562319i
\(94\) −22.5633 + 83.5945i −0.240035 + 0.889303i
\(95\) 40.2553i 0.423740i
\(96\) −62.6935 83.2717i −0.653057 0.867414i
\(97\) −117.457 −1.21089 −0.605447 0.795886i \(-0.707006\pi\)
−0.605447 + 0.795886i \(0.707006\pi\)
\(98\) 13.5163 + 3.64823i 0.137921 + 0.0372268i
\(99\) 6.74443 + 16.2825i 0.0681255 + 0.164470i
\(100\) 49.0889 + 185.924i 0.490889 + 1.85924i
\(101\) 15.2238 36.7536i 0.150731 0.363897i −0.830420 0.557137i \(-0.811900\pi\)
0.981151 + 0.193240i \(0.0618997\pi\)
\(102\) 19.4881 + 150.151i 0.191060 + 1.47207i
\(103\) −122.274 + 122.274i −1.18713 + 1.18713i −0.209268 + 0.977858i \(0.567108\pi\)
−0.977858 + 0.209268i \(0.932892\pi\)
\(104\) 11.9520 + 5.02781i 0.114923 + 0.0483443i
\(105\) 52.0922 52.0922i 0.496116 0.496116i
\(106\) −115.512 + 149.968i −1.08973 + 1.41479i
\(107\) 25.6160 61.8425i 0.239402 0.577968i −0.757819 0.652465i \(-0.773735\pi\)
0.997221 + 0.0744969i \(0.0237351\pi\)
\(108\) −58.3348 76.6028i −0.540137 0.709285i
\(109\) −64.7043 156.210i −0.593617 1.43312i −0.879986 0.475000i \(-0.842448\pi\)
0.286369 0.958120i \(-0.407552\pi\)
\(110\) 162.247 93.2776i 1.47497 0.847979i
\(111\) −76.7982 −0.691875
\(112\) 40.8082 + 11.2556i 0.364359 + 0.100496i
\(113\) 11.7309i 0.103813i −0.998652 0.0519067i \(-0.983470\pi\)
0.998652 0.0519067i \(-0.0165298\pi\)
\(114\) 26.5962 15.2904i 0.233300 0.134126i
\(115\) 97.6414 40.4444i 0.849056 0.351690i
\(116\) 199.648 + 27.0285i 1.72110 + 0.233004i
\(117\) −2.41088 0.998619i −0.0206058 0.00853521i
\(118\) 19.1168 24.8193i 0.162007 0.210333i
\(119\) −43.4813 43.4813i −0.365389 0.365389i
\(120\) 158.375 156.644i 1.31979 1.30537i
\(121\) 0.829332 + 0.829332i 0.00685399 + 0.00685399i
\(122\) 13.3114 + 102.561i 0.109110 + 0.840666i
\(123\) 41.4783 + 17.1809i 0.337222 + 0.139682i
\(124\) 84.4389 145.023i 0.680958 1.16954i
\(125\) −182.227 + 75.4811i −1.45782 + 0.603849i
\(126\) −8.22502 2.22004i −0.0652779 0.0176194i
\(127\) 16.3017i 0.128360i 0.997938 + 0.0641801i \(0.0204432\pi\)
−0.997938 + 0.0641801i \(0.979557\pi\)
\(128\) 123.204 + 34.7112i 0.962528 + 0.271182i
\(129\) 103.696 0.803842
\(130\) −7.22099 + 26.7530i −0.0555461 + 0.205792i
\(131\) 49.7357 + 120.073i 0.379662 + 0.916585i 0.992029 + 0.126011i \(0.0402176\pi\)
−0.612367 + 0.790574i \(0.709782\pi\)
\(132\) −123.255 71.7644i −0.933748 0.543670i
\(133\) −4.76794 + 11.5108i −0.0358492 + 0.0865476i
\(134\) 108.037 14.0221i 0.806246 0.104642i
\(135\) 145.502 145.502i 1.07779 1.07779i
\(136\) −130.751 132.196i −0.961402 0.972026i
\(137\) −39.6982 + 39.6982i −0.289768 + 0.289768i −0.836988 0.547221i \(-0.815686\pi\)
0.547221 + 0.836988i \(0.315686\pi\)
\(138\) −63.8089 49.1482i −0.462383 0.356146i
\(139\) −22.8368 + 55.1328i −0.164293 + 0.396639i −0.984490 0.175443i \(-0.943864\pi\)
0.820196 + 0.572082i \(0.193864\pi\)
\(140\) −12.1368 + 89.6491i −0.0866913 + 0.640351i
\(141\) 53.9654 + 130.284i 0.382733 + 0.924000i
\(142\) −74.0061 128.726i −0.521169 0.906522i
\(143\) 17.7423 0.124072
\(144\) −24.8328 6.84932i −0.172450 0.0475647i
\(145\) 430.556i 2.96935i
\(146\) −100.150 174.201i −0.685961 1.19316i
\(147\) 21.0655 8.72560i 0.143303 0.0593579i
\(148\) 75.0301 57.1372i 0.506960 0.386062i
\(149\) 94.4147 + 39.1079i 0.633656 + 0.262469i 0.676305 0.736621i \(-0.263580\pi\)
−0.0426497 + 0.999090i \(0.513580\pi\)
\(150\) 248.114 + 191.107i 1.65409 + 1.27405i
\(151\) 132.641 + 132.641i 0.878415 + 0.878415i 0.993371 0.114955i \(-0.0366725\pi\)
−0.114955 + 0.993371i \(0.536672\pi\)
\(152\) −14.6079 + 34.7257i −0.0961048 + 0.228459i
\(153\) 26.4595 + 26.4595i 0.172938 + 0.172938i
\(154\) 57.4419 7.45537i 0.373000 0.0484115i
\(155\) 331.333 + 137.243i 2.13763 + 0.885436i
\(156\) 20.4182 5.39095i 0.130886 0.0345574i
\(157\) −194.983 + 80.7646i −1.24193 + 0.514424i −0.904317 0.426861i \(-0.859619\pi\)
−0.337612 + 0.941285i \(0.609619\pi\)
\(158\) −76.9067 + 284.931i −0.486752 + 1.80336i
\(159\) 308.299i 1.93899i
\(160\) −38.1871 + 270.868i −0.238669 + 1.69292i
\(161\) 32.7105 0.203171
\(162\) −179.377 48.4161i −1.10726 0.298865i
\(163\) −81.5712 196.930i −0.500437 1.20816i −0.949246 0.314534i \(-0.898152\pi\)
0.448810 0.893627i \(-0.351848\pi\)
\(164\) −53.3059 + 14.0742i −0.325036 + 0.0858182i
\(165\) 116.642 281.599i 0.706922 1.70666i
\(166\) 1.08628 + 8.36954i 0.00654385 + 0.0504189i
\(167\) −39.7617 + 39.7617i −0.238094 + 0.238094i −0.816060 0.577967i \(-0.803846\pi\)
0.577967 + 0.816060i \(0.303846\pi\)
\(168\) 63.8400 26.0334i 0.380000 0.154960i
\(169\) 117.643 117.643i 0.696115 0.696115i
\(170\) 242.472 314.800i 1.42630 1.85176i
\(171\) 2.90141 7.00463i 0.0169673 0.0409628i
\(172\) −101.308 + 77.1487i −0.589002 + 0.448539i
\(173\) 50.4363 + 121.764i 0.291540 + 0.703839i 0.999998 0.00191367i \(-0.000609141\pi\)
−0.708459 + 0.705752i \(0.750609\pi\)
\(174\) 284.463 163.541i 1.63484 0.939889i
\(175\) −127.191 −0.726806
\(176\) 173.809 21.5882i 0.987553 0.122660i
\(177\) 51.0225i 0.288263i
\(178\) −204.425 + 117.526i −1.14846 + 0.660260i
\(179\) −213.616 + 88.4827i −1.19339 + 0.494317i −0.888856 0.458186i \(-0.848499\pi\)
−0.304530 + 0.952503i \(0.598499\pi\)
\(180\) 7.38554 54.5538i 0.0410308 0.303076i
\(181\) −222.697 92.2442i −1.23037 0.509637i −0.329679 0.944093i \(-0.606940\pi\)
−0.900693 + 0.434457i \(0.856940\pi\)
\(182\) −5.23351 + 6.79464i −0.0287556 + 0.0373332i
\(183\) 119.103 + 119.103i 0.650837 + 0.650837i
\(184\) 98.9057 + 0.543465i 0.537531 + 0.00295361i
\(185\) 142.514 + 142.514i 0.770348 + 0.770348i
\(186\) −35.1778 271.037i −0.189128 1.45719i
\(187\) −235.051 97.3612i −1.25696 0.520648i
\(188\) −149.653 87.1348i −0.796028 0.463483i
\(189\) 58.8391 24.3720i 0.311318 0.128952i
\(190\) −77.7289 20.9801i −0.409100 0.110421i
\(191\) 15.4379i 0.0808267i 0.999183 + 0.0404134i \(0.0128675\pi\)
−0.999183 + 0.0404134i \(0.987133\pi\)
\(192\) 193.464 77.6556i 1.00762 0.404456i
\(193\) −42.3191 −0.219270 −0.109635 0.993972i \(-0.534968\pi\)
−0.109635 + 0.993972i \(0.534968\pi\)
\(194\) 61.2156 226.797i 0.315544 1.16906i
\(195\) 17.2707 + 41.6952i 0.0885678 + 0.213822i
\(196\) −14.0887 + 24.1973i −0.0718813 + 0.123455i
\(197\) 105.800 255.423i 0.537054 1.29656i −0.389717 0.920935i \(-0.627427\pi\)
0.926771 0.375627i \(-0.122573\pi\)
\(198\) −34.9549 + 4.53678i −0.176540 + 0.0229130i
\(199\) −123.040 + 123.040i −0.618290 + 0.618290i −0.945093 0.326803i \(-0.894029\pi\)
0.326803 + 0.945093i \(0.394029\pi\)
\(200\) −384.584 2.11320i −1.92292 0.0105660i
\(201\) 125.462 125.462i 0.624190 0.624190i
\(202\) 63.0332 + 48.5508i 0.312046 + 0.240350i
\(203\) −50.9961 + 123.116i −0.251212 + 0.606481i
\(204\) −300.084 40.6256i −1.47100 0.199145i
\(205\) −45.0888 108.854i −0.219945 0.530995i
\(206\) −172.373 299.825i −0.836760 1.45546i
\(207\) −19.9052 −0.0961603
\(208\) −15.9373 + 20.4578i −0.0766216 + 0.0983548i
\(209\) 51.5489i 0.246646i
\(210\) 73.4356 + 127.734i 0.349693 + 0.608257i
\(211\) −48.2327 + 19.9786i −0.228591 + 0.0946855i −0.494039 0.869440i \(-0.664480\pi\)
0.265448 + 0.964125i \(0.414480\pi\)
\(212\) −229.372 301.201i −1.08194 1.42076i
\(213\) −223.420 92.5434i −1.04892 0.434476i
\(214\) 106.061 + 81.6928i 0.495614 + 0.381742i
\(215\) −192.428 192.428i −0.895014 0.895014i
\(216\) 178.315 72.7152i 0.825533 0.336644i
\(217\) 78.4879 + 78.4879i 0.361695 + 0.361695i
\(218\) 335.348 43.5247i 1.53829 0.199655i
\(219\) −302.347 125.236i −1.38058 0.571855i
\(220\) 95.5506 + 361.897i 0.434321 + 1.64499i
\(221\) 34.8030 14.4159i 0.157480 0.0652301i
\(222\) 40.0253 148.290i 0.180294 0.667971i
\(223\) 341.307i 1.53052i 0.643720 + 0.765261i \(0.277390\pi\)
−0.643720 + 0.765261i \(0.722610\pi\)
\(224\) −43.0017 + 72.9305i −0.191972 + 0.325582i
\(225\) 77.3991 0.343996
\(226\) 22.6512 + 6.11386i 0.100227 + 0.0270525i
\(227\) −35.1541 84.8695i −0.154864 0.373875i 0.827338 0.561705i \(-0.189854\pi\)
−0.982201 + 0.187831i \(0.939854\pi\)
\(228\) 15.6630 + 59.3235i 0.0686974 + 0.260191i
\(229\) 74.2678 179.298i 0.324313 0.782962i −0.674680 0.738110i \(-0.735719\pi\)
0.998994 0.0448516i \(-0.0142815\pi\)
\(230\) 27.2058 + 209.614i 0.118286 + 0.911367i
\(231\) 66.7067 66.7067i 0.288774 0.288774i
\(232\) −156.241 + 371.414i −0.673452 + 1.60092i
\(233\) 63.6747 63.6747i 0.273282 0.273282i −0.557138 0.830420i \(-0.688101\pi\)
0.830420 + 0.557138i \(0.188101\pi\)
\(234\) 3.18473 4.13471i 0.0136099 0.0176697i
\(235\) 141.624 341.912i 0.602657 1.45494i
\(236\) 37.9603 + 49.8479i 0.160849 + 0.211220i
\(237\) 183.941 + 444.072i 0.776121 + 1.87372i
\(238\) 106.619 61.2967i 0.447981 0.257549i
\(239\) 354.716 1.48417 0.742084 0.670307i \(-0.233837\pi\)
0.742084 + 0.670307i \(0.233837\pi\)
\(240\) 219.923 + 387.445i 0.916345 + 1.61436i
\(241\) 187.301i 0.777183i −0.921410 0.388591i \(-0.872962\pi\)
0.921410 0.388591i \(-0.127038\pi\)
\(242\) −2.03359 + 1.16913i −0.00840325 + 0.00483112i
\(243\) −79.4108 + 32.8930i −0.326794 + 0.135362i
\(244\) −204.973 27.7494i −0.840053 0.113727i
\(245\) −55.2833 22.8991i −0.225646 0.0934657i
\(246\) −54.7921 + 71.1363i −0.222732 + 0.289172i
\(247\) −5.39709 5.39709i −0.0218506 0.0218506i
\(248\) 236.017 + 238.625i 0.951683 + 0.962199i
\(249\) 9.71945 + 9.71945i 0.0390340 + 0.0390340i
\(250\) −50.7739 391.202i −0.203096 1.56481i
\(251\) −193.596 80.1900i −0.771298 0.319482i −0.0379000 0.999282i \(-0.512067\pi\)
−0.733398 + 0.679799i \(0.762067\pi\)
\(252\) 8.57335 14.7247i 0.0340212 0.0584312i
\(253\) 125.035 51.7911i 0.494209 0.204708i
\(254\) −31.4770 8.49607i −0.123925 0.0334491i
\(255\) 647.153i 2.53786i
\(256\) −131.235 + 219.803i −0.512635 + 0.858606i
\(257\) −350.213 −1.36270 −0.681348 0.731960i \(-0.738606\pi\)
−0.681348 + 0.731960i \(0.738606\pi\)
\(258\) −54.0436 + 200.226i −0.209471 + 0.776069i
\(259\) 23.8716 + 57.6312i 0.0921684 + 0.222514i
\(260\) −47.8940 27.8860i −0.184208 0.107254i
\(261\) 31.0324 74.9190i 0.118898 0.287046i
\(262\) −257.769 + 33.4558i −0.983853 + 0.127694i
\(263\) −172.269 + 172.269i −0.655015 + 0.655015i −0.954196 0.299181i \(-0.903287\pi\)
0.299181 + 0.954196i \(0.403287\pi\)
\(264\) 202.807 200.591i 0.768210 0.759814i
\(265\) 572.110 572.110i 2.15891 2.15891i
\(266\) −19.7413 15.2056i −0.0742155 0.0571638i
\(267\) −146.965 + 354.804i −0.550430 + 1.32886i
\(268\) −29.2310 + 215.917i −0.109071 + 0.805659i
\(269\) 18.4307 + 44.4956i 0.0685156 + 0.165411i 0.954428 0.298441i \(-0.0964667\pi\)
−0.885912 + 0.463853i \(0.846467\pi\)
\(270\) 205.117 + 356.781i 0.759693 + 1.32141i
\(271\) 14.7664 0.0544886 0.0272443 0.999629i \(-0.491327\pi\)
0.0272443 + 0.999629i \(0.491327\pi\)
\(272\) 323.401 183.570i 1.18897 0.674888i
\(273\) 13.9682i 0.0511654i
\(274\) −55.9635 97.3429i −0.204246 0.355266i
\(275\) −486.184 + 201.384i −1.76794 + 0.732306i
\(276\) 128.156 97.5937i 0.464333 0.353600i
\(277\) −234.027 96.9373i −0.844864 0.349954i −0.0820944 0.996625i \(-0.526161\pi\)
−0.762769 + 0.646671i \(0.776161\pi\)
\(278\) −94.5540 72.8294i −0.340122 0.261976i
\(279\) −47.7619 47.7619i −0.171189 0.171189i
\(280\) −166.778 70.1578i −0.595636 0.250564i
\(281\) 4.25186 + 4.25186i 0.0151312 + 0.0151312i 0.714632 0.699501i \(-0.246594\pi\)
−0.699501 + 0.714632i \(0.746594\pi\)
\(282\) −279.691 + 36.3010i −0.991811 + 0.128727i
\(283\) 505.663 + 209.453i 1.78680 + 0.740115i 0.990886 + 0.134700i \(0.0430072\pi\)
0.795910 + 0.605415i \(0.206993\pi\)
\(284\) 287.128 75.8094i 1.01101 0.266934i
\(285\) −121.142 + 50.1788i −0.425061 + 0.176066i
\(286\) −9.24685 + 34.2586i −0.0323317 + 0.119785i
\(287\) 36.4668i 0.127062i
\(288\) 26.1676 44.3801i 0.0908598 0.154097i
\(289\) −251.179 −0.869130
\(290\) −831.360 224.395i −2.86676 0.773776i
\(291\) −146.412 353.469i −0.503132 1.21467i
\(292\) 388.561 102.591i 1.33069 0.351338i
\(293\) −119.766 + 289.140i −0.408757 + 0.986827i 0.576708 + 0.816950i \(0.304337\pi\)
−0.985465 + 0.169877i \(0.945663\pi\)
\(294\) 5.86946 + 45.2229i 0.0199642 + 0.153819i
\(295\) −94.6825 + 94.6825i −0.320958 + 0.320958i
\(296\) 71.2224 + 174.654i 0.240616 + 0.590048i
\(297\) 186.322 186.322i 0.627347 0.627347i
\(298\) −124.720 + 161.923i −0.418524 + 0.543367i
\(299\) −7.66849 + 18.5134i −0.0256471 + 0.0619177i
\(300\) −498.320 + 379.482i −1.66107 + 1.26494i
\(301\) −32.2323 77.8156i −0.107084 0.258524i
\(302\) −325.245 + 186.987i −1.07697 + 0.619162i
\(303\) 129.581 0.427661
\(304\) −59.4386 46.3047i −0.195522 0.152318i
\(305\) 442.040i 1.44931i
\(306\) −64.8807 + 37.3006i −0.212028 + 0.121897i
\(307\) 208.881 86.5213i 0.680394 0.281828i −0.0155976 0.999878i \(-0.504965\pi\)
0.695992 + 0.718050i \(0.254965\pi\)
\(308\) −15.5418 + 114.800i −0.0504603 + 0.372728i
\(309\) −520.382 215.549i −1.68408 0.697570i
\(310\) −437.684 + 568.243i −1.41188 + 1.83304i
\(311\) 81.0965 + 81.0965i 0.260760 + 0.260760i 0.825363 0.564602i \(-0.190971\pi\)
−0.564602 + 0.825363i \(0.690971\pi\)
\(312\) −0.232072 + 42.2351i −0.000743822 + 0.135369i
\(313\) 379.371 + 379.371i 1.21205 + 1.21205i 0.970352 + 0.241697i \(0.0777040\pi\)
0.241697 + 0.970352i \(0.422296\pi\)
\(314\) −54.3280 418.585i −0.173019 1.33307i
\(315\) 33.6413 + 13.9347i 0.106798 + 0.0442371i
\(316\) −510.092 296.998i −1.61422 0.939869i
\(317\) 341.041 141.264i 1.07584 0.445627i 0.226791 0.973943i \(-0.427177\pi\)
0.849047 + 0.528317i \(0.177177\pi\)
\(318\) −595.294 160.678i −1.87199 0.505276i
\(319\) 551.348i 1.72837i
\(320\) −503.116 214.905i −1.57224 0.671578i
\(321\) 218.037 0.679242
\(322\) −17.0479 + 63.1607i −0.0529438 + 0.196151i
\(323\) 41.8842 + 101.117i 0.129673 + 0.313057i
\(324\) 186.973 321.125i 0.577079 0.991127i
\(325\) 29.8181 71.9872i 0.0917480 0.221499i
\(326\) 422.766 54.8706i 1.29683 0.168315i
\(327\) 389.436 389.436i 1.19094 1.19094i
\(328\) 0.605873 110.263i 0.00184717 0.336169i
\(329\) 80.9938 80.9938i 0.246182 0.246182i
\(330\) 482.949 + 371.987i 1.46348 + 1.12723i
\(331\) 159.335 384.669i 0.481375 1.16214i −0.477581 0.878588i \(-0.658486\pi\)
0.958956 0.283555i \(-0.0915139\pi\)
\(332\) −16.7269 2.26450i −0.0503822 0.00682079i
\(333\) −14.5265 35.0700i −0.0436231 0.105315i
\(334\) −56.0530 97.4986i −0.167823 0.291912i
\(335\) −465.640 −1.38997
\(336\) 16.9960 + 136.837i 0.0505832 + 0.407252i
\(337\) 191.973i 0.569652i −0.958579 0.284826i \(-0.908064\pi\)
0.958579 0.284826i \(-0.0919359\pi\)
\(338\) 165.845 + 288.471i 0.490665 + 0.853464i
\(339\) 35.3024 14.6227i 0.104137 0.0431350i
\(340\) 481.477 + 632.255i 1.41611 + 1.85957i
\(341\) 424.289 + 175.746i 1.24425 + 0.515384i
\(342\) 12.0131 + 9.25298i 0.0351260 + 0.0270555i
\(343\) −13.0958 13.0958i −0.0381802 0.0381802i
\(344\) −96.1670 235.824i −0.279555 0.685536i
\(345\) 243.423 + 243.423i 0.705574 + 0.705574i
\(346\) −261.400 + 33.9271i −0.755493 + 0.0980551i
\(347\) 125.419 + 51.9502i 0.361438 + 0.149712i 0.556010 0.831176i \(-0.312332\pi\)
−0.194572 + 0.980888i \(0.562332\pi\)
\(348\) 167.526 + 634.502i 0.481396 + 1.82328i
\(349\) 246.605 102.147i 0.706604 0.292685i −0.000294385 1.00000i \(-0.500094\pi\)
0.706899 + 0.707315i \(0.250094\pi\)
\(350\) 66.2889 245.593i 0.189397 0.701695i
\(351\) 39.0152i 0.111155i
\(352\) −48.9005 + 346.860i −0.138922 + 0.985397i
\(353\) −436.306 −1.23599 −0.617997 0.786180i \(-0.712056\pi\)
−0.617997 + 0.786180i \(0.712056\pi\)
\(354\) 98.5194 + 26.5917i 0.278303 + 0.0751178i
\(355\) 242.867 + 586.332i 0.684132 + 1.65164i
\(356\) −120.390 455.977i −0.338175 1.28083i
\(357\) 76.6505 185.051i 0.214707 0.518349i
\(358\) −59.5197 458.586i −0.166256 1.28097i
\(359\) −67.3848 + 67.3848i −0.187701 + 0.187701i −0.794702 0.607000i \(-0.792373\pi\)
0.607000 + 0.794702i \(0.292373\pi\)
\(360\) 101.489 + 42.6928i 0.281913 + 0.118591i
\(361\) −239.585 + 239.585i −0.663670 + 0.663670i
\(362\) 294.179 381.931i 0.812649 1.05506i
\(363\) −1.46198 + 3.52953i −0.00402749 + 0.00972322i
\(364\) −10.3922 13.6466i −0.0285500 0.0374906i
\(365\) 328.665 + 793.467i 0.900451 + 2.17388i
\(366\) −292.050 + 167.903i −0.797951 + 0.458751i
\(367\) −383.516 −1.04500 −0.522502 0.852638i \(-0.675001\pi\)
−0.522502 + 0.852638i \(0.675001\pi\)
\(368\) −52.5966 + 190.694i −0.142926 + 0.518190i
\(369\) 22.1910i 0.0601381i
\(370\) −349.456 + 200.906i −0.944476 + 0.542989i
\(371\) 231.355 95.8302i 0.623597 0.258303i
\(372\) 541.680 + 73.3331i 1.45613 + 0.197132i
\(373\) 269.537 + 111.646i 0.722618 + 0.299318i 0.713515 0.700640i \(-0.247102\pi\)
0.00910346 + 0.999959i \(0.497102\pi\)
\(374\) 310.497 403.117i 0.830207 1.07785i
\(375\) −454.298 454.298i −1.21146 1.21146i
\(376\) 246.244 243.553i 0.654905 0.647747i
\(377\) −57.7253 57.7253i −0.153117 0.153117i
\(378\) 16.3943 + 126.315i 0.0433712 + 0.334166i
\(379\) 112.749 + 46.7021i 0.297490 + 0.123225i 0.526436 0.850215i \(-0.323528\pi\)
−0.228946 + 0.973439i \(0.573528\pi\)
\(380\) 81.0208 139.153i 0.213213 0.366191i
\(381\) −49.0577 + 20.3204i −0.128760 + 0.0533343i
\(382\) −29.8091 8.04586i −0.0780342 0.0210625i
\(383\) 264.230i 0.689895i 0.938622 + 0.344947i \(0.112103\pi\)
−0.938622 + 0.344947i \(0.887897\pi\)
\(384\) 49.1168 + 414.031i 0.127908 + 1.07821i
\(385\) −247.575 −0.643053
\(386\) 22.0557 81.7139i 0.0571390 0.211694i
\(387\) 19.6142 + 47.3528i 0.0506826 + 0.122359i
\(388\) 406.019 + 236.402i 1.04644 + 0.609284i
\(389\) 94.7561 228.762i 0.243589 0.588076i −0.754045 0.656823i \(-0.771900\pi\)
0.997634 + 0.0687467i \(0.0219000\pi\)
\(390\) −89.5104 + 11.6175i −0.229514 + 0.0297885i
\(391\) 203.185 203.185i 0.519655 0.519655i
\(392\) −39.3798 39.8150i −0.100459 0.101569i
\(393\) −299.345 + 299.345i −0.761692 + 0.761692i
\(394\) 438.056 + 337.408i 1.11182 + 0.856367i
\(395\) 482.726 1165.40i 1.22209 2.95039i
\(396\) 9.45756 69.8589i 0.0238827 0.176411i
\(397\) −243.773 588.519i −0.614037 1.48242i −0.858529 0.512764i \(-0.828621\pi\)
0.244493 0.969651i \(-0.421379\pi\)
\(398\) −173.452 301.703i −0.435809 0.758047i
\(399\) −40.5835 −0.101713
\(400\) 204.516 741.492i 0.511290 1.85373i
\(401\) 182.543i 0.455220i −0.973752 0.227610i \(-0.926909\pi\)
0.973752 0.227610i \(-0.0730911\pi\)
\(402\) 176.867 + 307.643i 0.439968 + 0.765280i
\(403\) −62.8226 + 26.0220i −0.155887 + 0.0645707i
\(404\) −126.598 + 96.4074i −0.313362 + 0.238632i
\(405\) 733.672 + 303.897i 1.81154 + 0.750363i
\(406\) −211.146 162.633i −0.520064 0.400575i
\(407\) 182.497 + 182.497i 0.448396 + 0.448396i
\(408\) 234.840 558.259i 0.575589 1.36828i
\(409\) 128.400 + 128.400i 0.313937 + 0.313937i 0.846433 0.532496i \(-0.178746\pi\)
−0.532496 + 0.846433i \(0.678746\pi\)
\(410\) 233.685 30.3299i 0.569964 0.0739754i
\(411\) −168.950 69.9815i −0.411071 0.170271i
\(412\) 668.769 176.573i 1.62323 0.428575i
\(413\) −38.2885 + 15.8596i −0.0927083 + 0.0384010i
\(414\) 10.3741 38.4349i 0.0250582 0.0928379i
\(415\) 36.0728i 0.0869224i
\(416\) −31.1958 41.4354i −0.0749900 0.0996044i
\(417\) −194.380 −0.466140
\(418\) −99.5359 26.8661i −0.238124 0.0642728i
\(419\) 264.463 + 638.471i 0.631177 + 1.52380i 0.838144 + 0.545449i \(0.183641\pi\)
−0.206967 + 0.978348i \(0.566359\pi\)
\(420\) −284.914 + 75.2251i −0.678368 + 0.179107i
\(421\) 177.786 429.214i 0.422296 1.01951i −0.559373 0.828916i \(-0.688958\pi\)
0.981669 0.190596i \(-0.0610419\pi\)
\(422\) −13.4391 103.545i −0.0318461 0.245367i
\(423\) −49.2868 + 49.2868i −0.116517 + 0.116517i
\(424\) 701.132 285.915i 1.65361 0.674328i
\(425\) −790.063 + 790.063i −1.85897 + 1.85897i
\(426\) 295.133 383.169i 0.692800 0.899459i
\(427\) 52.3563 126.399i 0.122614 0.296017i
\(428\) −213.017 + 162.218i −0.497704 + 0.379013i
\(429\) 22.1160 + 53.3929i 0.0515525 + 0.124459i
\(430\) 471.848 271.270i 1.09732 0.630862i
\(431\) 603.072 1.39924 0.699619 0.714516i \(-0.253353\pi\)
0.699619 + 0.714516i \(0.253353\pi\)
\(432\) 47.4724 + 382.206i 0.109890 + 0.884736i
\(433\) 647.114i 1.49449i −0.664548 0.747245i \(-0.731376\pi\)
0.664548 0.747245i \(-0.268624\pi\)
\(434\) −192.458 + 110.646i −0.443452 + 0.254945i
\(435\) −1295.69 + 536.694i −2.97861 + 1.23378i
\(436\) −90.7334 + 670.208i −0.208104 + 1.53717i
\(437\) −53.7893 22.2802i −0.123088 0.0509845i
\(438\) 399.395 518.532i 0.911860 1.18386i
\(439\) −61.2434 61.2434i −0.139507 0.139507i 0.633905 0.773411i \(-0.281451\pi\)
−0.773411 + 0.633905i \(0.781451\pi\)
\(440\) −748.586 4.11331i −1.70133 0.00934844i
\(441\) 7.96913 + 7.96913i 0.0180706 + 0.0180706i
\(442\) 9.69714 + 74.7143i 0.0219392 + 0.169037i
\(443\) −408.214 169.088i −0.921477 0.381688i −0.129038 0.991640i \(-0.541189\pi\)
−0.792439 + 0.609951i \(0.791189\pi\)
\(444\) 265.472 + 154.570i 0.597910 + 0.348130i
\(445\) 931.133 385.688i 2.09243 0.866715i
\(446\) −659.029 177.881i −1.47764 0.398836i
\(447\) 332.876i 0.744688i
\(448\) −118.410 121.042i −0.264308 0.270182i
\(449\) 534.399 1.19020 0.595099 0.803652i \(-0.297113\pi\)
0.595099 + 0.803652i \(0.297113\pi\)
\(450\) −40.3385 + 149.450i −0.0896411 + 0.332111i
\(451\) −57.7385 139.393i −0.128023 0.309075i
\(452\) −23.6105 + 40.5508i −0.0522356 + 0.0897142i
\(453\) −233.824 + 564.501i −0.516168 + 1.24614i
\(454\) 182.196 23.6472i 0.401313 0.0520862i
\(455\) 25.9207 25.9207i 0.0569686 0.0569686i
\(456\) −122.711 0.674269i −0.269103 0.00147866i
\(457\) 386.134 386.134i 0.844932 0.844932i −0.144563 0.989496i \(-0.546178\pi\)
0.989496 + 0.144563i \(0.0461777\pi\)
\(458\) 307.500 + 236.849i 0.671398 + 0.517139i
\(459\) 214.097 516.875i 0.466442 1.12609i
\(460\) −418.924 56.7143i −0.910704 0.123292i
\(461\) −2.55762 6.17465i −0.00554799 0.0133940i 0.921081 0.389370i \(-0.127307\pi\)
−0.926629 + 0.375976i \(0.877307\pi\)
\(462\) 94.0381 + 163.570i 0.203546 + 0.354047i
\(463\) −668.504 −1.44385 −0.721927 0.691970i \(-0.756743\pi\)
−0.721927 + 0.691970i \(0.756743\pi\)
\(464\) −635.734 495.257i −1.37012 1.06737i
\(465\) 1168.17i 2.51220i
\(466\) 89.7639 + 156.135i 0.192626 + 0.335054i
\(467\) 386.630 160.147i 0.827902 0.342928i 0.0718299 0.997417i \(-0.477116\pi\)
0.756072 + 0.654489i \(0.227116\pi\)
\(468\) 6.32392 + 8.30430i 0.0135126 + 0.0177442i
\(469\) −133.148 55.1516i −0.283897 0.117594i
\(470\) 586.386 + 451.659i 1.24763 + 0.960976i
\(471\) −486.098 486.098i −1.03206 1.03206i
\(472\) −116.035 + 47.3181i −0.245838 + 0.100250i
\(473\) −246.414 246.414i −0.520960 0.520960i
\(474\) −953.324 + 123.732i −2.01123 + 0.261037i
\(475\) 209.154 + 86.6343i 0.440323 + 0.182388i
\(476\) 62.7903 + 237.818i 0.131912 + 0.499617i
\(477\) −140.785 + 58.3151i −0.295147 + 0.122254i
\(478\) −184.869 + 684.922i −0.386756 + 1.43289i
\(479\) 374.936i 0.782748i −0.920232 0.391374i \(-0.872000\pi\)
0.920232 0.391374i \(-0.128000\pi\)
\(480\) −862.737 + 222.722i −1.79737 + 0.464004i
\(481\) −38.2143 −0.0794475
\(482\) 361.660 + 97.6167i 0.750331 + 0.202524i
\(483\) 40.7741 + 98.4374i 0.0844185 + 0.203804i
\(484\) −1.19762 4.53597i −0.00247442 0.00937185i
\(485\) −384.236 + 927.628i −0.792239 + 1.91263i
\(486\) −22.1262 170.477i −0.0455272 0.350777i
\(487\) −638.444 + 638.444i −1.31097 + 1.31097i −0.390277 + 0.920698i \(0.627621\pi\)
−0.920698 + 0.390277i \(0.872379\pi\)
\(488\) 160.408 381.320i 0.328706 0.781394i
\(489\) 490.953 490.953i 1.00399 1.00399i
\(490\) 73.0282 94.8121i 0.149037 0.193494i
\(491\) −73.5474 + 177.559i −0.149791 + 0.361628i −0.980909 0.194469i \(-0.937702\pi\)
0.831118 + 0.556097i \(0.187702\pi\)
\(492\) −108.801 142.873i −0.221140 0.290391i
\(493\) 447.978 + 1081.51i 0.908678 + 2.19374i
\(494\) 13.2341 7.60841i 0.0267896 0.0154016i
\(495\) 150.656 0.304355
\(496\) −583.768 + 331.360i −1.17695 + 0.668065i
\(497\) 196.425i 0.395222i
\(498\) −23.8328 + 13.7018i −0.0478571 + 0.0275136i
\(499\) −526.931 + 218.262i −1.05597 + 0.437399i −0.842021 0.539445i \(-0.818634\pi\)
−0.213953 + 0.976844i \(0.568634\pi\)
\(500\) 781.834 + 105.845i 1.56367 + 0.211691i
\(501\) −169.220 70.0934i −0.337765 0.139907i
\(502\) 255.736 332.021i 0.509435 0.661397i
\(503\) 241.531 + 241.531i 0.480181 + 0.480181i 0.905189 0.425009i \(-0.139729\pi\)
−0.425009 + 0.905189i \(0.639729\pi\)
\(504\) 23.9636 + 24.2284i 0.0475469 + 0.0480723i
\(505\) −240.464 240.464i −0.476166 0.476166i
\(506\) 34.8384 + 268.422i 0.0688506 + 0.530478i
\(507\) 500.675 + 207.386i 0.987525 + 0.409046i
\(508\) 32.8101 56.3511i 0.0645869 0.110927i
\(509\) −156.000 + 64.6175i −0.306484 + 0.126950i −0.530625 0.847607i \(-0.678043\pi\)
0.224140 + 0.974557i \(0.428043\pi\)
\(510\) 1249.59 + 337.280i 2.45017 + 0.661334i
\(511\) 265.816i 0.520189i
\(512\) −356.022 367.957i −0.695355 0.718666i
\(513\) −113.356 −0.220967
\(514\) 182.522 676.226i 0.355102 1.31561i
\(515\) 565.678 + 1365.67i 1.09840 + 2.65178i
\(516\) −358.450 208.706i −0.694671 0.404468i
\(517\) 181.357 437.835i 0.350788 0.846877i
\(518\) −123.721 + 16.0577i −0.238844 + 0.0309995i
\(519\) −303.562 + 303.562i −0.584897 + 0.584897i
\(520\) 78.8064 77.9450i 0.151551 0.149894i
\(521\) −670.881 + 670.881i −1.28768 + 1.28768i −0.351486 + 0.936193i \(0.614323\pi\)
−0.936193 + 0.351486i \(0.885677\pi\)
\(522\) 128.488 + 98.9665i 0.246145 + 0.189591i
\(523\) 48.6364 117.419i 0.0929950 0.224510i −0.870537 0.492103i \(-0.836228\pi\)
0.963532 + 0.267593i \(0.0862283\pi\)
\(524\) 69.7433 515.163i 0.133098 0.983136i
\(525\) −158.546 382.763i −0.301992 0.729072i
\(526\) −242.852 422.417i −0.461696 0.803073i
\(527\) 975.073 1.85023
\(528\) 281.623 + 496.144i 0.533376 + 0.939666i
\(529\) 376.146i 0.711051i
\(530\) 806.518 + 1402.86i 1.52173 + 2.64690i
\(531\) 23.2995 9.65099i 0.0438786 0.0181751i
\(532\) 39.6492 30.1938i 0.0745285 0.0567552i
\(533\) 20.6393 + 8.54909i 0.0387230 + 0.0160396i
\(534\) −608.498 468.690i −1.13951 0.877696i
\(535\) −404.611 404.611i −0.756282 0.756282i
\(536\) −401.679 168.973i −0.749401 0.315247i
\(537\) −532.551 532.551i −0.991716 0.991716i
\(538\) −95.5222 + 12.3978i −0.177551 + 0.0230442i
\(539\) −70.7931 29.3235i −0.131342 0.0544035i
\(540\) −795.810 + 210.115i −1.47372 + 0.389102i
\(541\) −776.718 + 321.727i −1.43571 + 0.594690i −0.958754 0.284238i \(-0.908259\pi\)
−0.476955 + 0.878928i \(0.658259\pi\)
\(542\) −7.69589 + 28.5125i −0.0141991 + 0.0526060i
\(543\) 785.159i 1.44596i
\(544\) 185.906 + 720.126i 0.341739 + 1.32376i
\(545\) −1445.35 −2.65202
\(546\) −26.9711 7.27986i −0.0493977 0.0133331i
\(547\) −139.502 336.788i −0.255031 0.615700i 0.743565 0.668663i \(-0.233133\pi\)
−0.998596 + 0.0529636i \(0.983133\pi\)
\(548\) 217.126 57.3272i 0.396216 0.104612i
\(549\) −31.8602 + 76.9173i −0.0580331 + 0.140104i
\(550\) −135.465 1043.73i −0.246300 1.89769i
\(551\) 167.716 167.716i 0.304386 0.304386i
\(552\) 121.652 + 298.320i 0.220384 + 0.540434i
\(553\) 276.067 276.067i 0.499217 0.499217i
\(554\) 309.146 401.362i 0.558024 0.724480i
\(555\) −251.230 + 606.522i −0.452666 + 1.09283i
\(556\) 189.905 144.617i 0.341557 0.260103i
\(557\) −291.044 702.643i −0.522521 1.26148i −0.936332 0.351115i \(-0.885803\pi\)
0.413812 0.910363i \(-0.364197\pi\)
\(558\) 117.116 67.3311i 0.209885 0.120665i
\(559\) 51.5982 0.0923045
\(560\) 222.388 285.467i 0.397122 0.509763i
\(561\) 828.713i 1.47721i
\(562\) −10.4259 + 5.99395i −0.0185514 + 0.0106654i
\(563\) 221.366 91.6927i 0.393190 0.162865i −0.177324 0.984153i \(-0.556744\pi\)
0.570514 + 0.821288i \(0.306744\pi\)
\(564\) 75.6745 558.974i 0.134175 0.991089i
\(565\) −92.6462 38.3753i −0.163976 0.0679209i
\(566\) −667.972 + 867.224i −1.18016 + 1.53220i
\(567\) 173.796 + 173.796i 0.306519 + 0.306519i
\(568\) −3.26348 + 593.925i −0.00574557 + 1.04564i
\(569\) 31.0086 + 31.0086i 0.0544967 + 0.0544967i 0.733830 0.679333i \(-0.237731\pi\)
−0.679333 + 0.733830i \(0.737731\pi\)
\(570\) −33.7538 260.066i −0.0592173 0.456256i
\(571\) 40.9138 + 16.9470i 0.0716529 + 0.0296796i 0.418222 0.908345i \(-0.362653\pi\)
−0.346569 + 0.938024i \(0.612653\pi\)
\(572\) −61.3307 35.7095i −0.107222 0.0624292i
\(573\) −46.4581 + 19.2436i −0.0810787 + 0.0335839i
\(574\) 70.4137 + 19.0056i 0.122672 + 0.0331108i
\(575\) 594.355i 1.03366i
\(576\) 72.0555 + 73.6569i 0.125096 + 0.127877i
\(577\) −279.269 −0.484002 −0.242001 0.970276i \(-0.577804\pi\)
−0.242001 + 0.970276i \(0.577804\pi\)
\(578\) 130.908 485.001i 0.226485 0.839101i
\(579\) −52.7514 127.353i −0.0911077 0.219953i
\(580\) 866.569 1488.32i 1.49408 2.56608i
\(581\) 4.27256 10.3149i 0.00735380 0.0177536i
\(582\) 758.819 98.4868i 1.30381 0.169221i
\(583\) 732.616 732.616i 1.25663 1.25663i
\(584\) −4.41638 + 803.741i −0.00756229 + 1.37627i
\(585\) −15.7734 + 15.7734i −0.0269631 + 0.0269631i
\(586\) −495.882 381.949i −0.846216 0.651790i
\(587\) 33.4455 80.7445i 0.0569770 0.137555i −0.892827 0.450399i \(-0.851282\pi\)
0.949804 + 0.312844i \(0.101282\pi\)
\(588\) −90.3799 12.2357i −0.153707 0.0208091i
\(589\) −75.6050 182.527i −0.128362 0.309892i
\(590\) −133.476 232.169i −0.226231 0.393506i
\(591\) 900.538 1.52375
\(592\) −374.359 + 46.4978i −0.632364 + 0.0785435i
\(593\) 240.258i 0.405158i −0.979266 0.202579i \(-0.935068\pi\)
0.979266 0.202579i \(-0.0649322\pi\)
\(594\) 262.663 + 456.876i 0.442193 + 0.769152i
\(595\) −485.639 + 201.158i −0.816200 + 0.338081i
\(596\) −247.657 325.212i −0.415532 0.545658i
\(597\) −523.641 216.899i −0.877120 0.363315i
\(598\) −31.7509 24.4558i −0.0530951 0.0408960i
\(599\) −689.667 689.667i −1.15136 1.15136i −0.986279 0.165085i \(-0.947210\pi\)
−0.165085 0.986279i \(-0.552790\pi\)
\(600\) −473.030 1159.98i −0.788384 1.93331i
\(601\) −272.798 272.798i −0.453908 0.453908i 0.442742 0.896649i \(-0.354006\pi\)
−0.896649 + 0.442742i \(0.854006\pi\)
\(602\) 167.053 21.6817i 0.277497 0.0360162i
\(603\) 81.0239 + 33.5612i 0.134368 + 0.0556570i
\(604\) −191.543 725.469i −0.317125 1.20111i
\(605\) 9.26274 3.83675i 0.0153103 0.00634174i
\(606\) −67.5346 + 250.209i −0.111443 + 0.412885i
\(607\) 697.370i 1.14888i 0.818547 + 0.574440i \(0.194780\pi\)
−0.818547 + 0.574440i \(0.805220\pi\)
\(608\) 120.388 90.6372i 0.198006 0.149074i
\(609\) −434.066 −0.712751
\(610\) 853.534 + 230.380i 1.39924 + 0.377673i
\(611\) 26.8528 + 64.8284i 0.0439490 + 0.106102i
\(612\) −38.2095 144.718i −0.0624339 0.236468i
\(613\) −445.331 + 1075.12i −0.726478 + 1.75387i −0.0724872 + 0.997369i \(0.523094\pi\)
−0.653990 + 0.756503i \(0.726906\pi\)
\(614\) 58.2004 + 448.421i 0.0947889 + 0.730328i
\(615\) 271.376 271.376i 0.441262 0.441262i
\(616\) −213.568 89.8407i −0.346701 0.145845i
\(617\) −741.952 + 741.952i −1.20252 + 1.20252i −0.229117 + 0.973399i \(0.573584\pi\)
−0.973399 + 0.229117i \(0.926416\pi\)
\(618\) 687.414 892.467i 1.11232 1.44412i
\(619\) −468.512 + 1131.09i −0.756885 + 1.82728i −0.241284 + 0.970455i \(0.577568\pi\)
−0.515602 + 0.856828i \(0.672432\pi\)
\(620\) −869.111 1141.28i −1.40179 1.84077i
\(621\) 113.888 + 274.951i 0.183395 + 0.442755i
\(622\) −198.855 + 114.324i −0.319702 + 0.183800i
\(623\) 311.936 0.500699
\(624\) −81.4308 22.4600i −0.130498 0.0359936i
\(625\) 484.240i 0.774784i
\(626\) −930.247 + 534.809i −1.48602 + 0.854328i
\(627\) −155.129 + 64.2565i −0.247415 + 0.102483i
\(628\) 836.561 + 113.254i 1.33210 + 0.180341i
\(629\) 506.264 + 209.701i 0.804871 + 0.333389i
\(630\) −44.4395 + 57.6956i −0.0705389 + 0.0915803i
\(631\) 583.277 + 583.277i 0.924370 + 0.924370i 0.997335 0.0729646i \(-0.0232460\pi\)
−0.0729646 + 0.997335i \(0.523246\pi\)
\(632\) 839.322 830.149i 1.32804 1.31353i
\(633\) −120.246 120.246i −0.189961 0.189961i
\(634\) 95.0240 + 732.139i 0.149880 + 1.15479i
\(635\) 128.745 + 53.3279i 0.202748 + 0.0839809i
\(636\) 620.505 1065.71i 0.975637 1.67565i
\(637\) 10.4820 4.34180i 0.0164553 0.00681602i
\(638\) −1064.60 287.349i −1.66865 0.450391i
\(639\) 119.530i 0.187057i
\(640\) 677.172 859.464i 1.05808 1.34291i
\(641\) 729.958 1.13878 0.569390 0.822068i \(-0.307179\pi\)
0.569390 + 0.822068i \(0.307179\pi\)
\(642\) −113.635 + 421.007i −0.177002 + 0.655775i
\(643\) −120.591 291.132i −0.187544 0.452771i 0.801942 0.597402i \(-0.203800\pi\)
−0.989486 + 0.144631i \(0.953800\pi\)
\(644\) −113.072 65.8356i −0.175578 0.102229i
\(645\) 339.219 818.948i 0.525922 1.26969i
\(646\) −217.077 + 28.1743i −0.336032 + 0.0436135i
\(647\) 606.694 606.694i 0.937704 0.937704i −0.0604666 0.998170i \(-0.519259\pi\)
0.998170 + 0.0604666i \(0.0192589\pi\)
\(648\) 522.615 + 528.390i 0.806504 + 0.815416i
\(649\) −121.246 + 121.246i −0.186819 + 0.186819i
\(650\) 123.460 + 95.0937i 0.189938 + 0.146298i
\(651\) −138.361 + 334.034i −0.212537 + 0.513109i
\(652\) −114.385 + 844.916i −0.175438 + 1.29588i
\(653\) −13.9192 33.6038i −0.0213157 0.0514607i 0.912863 0.408265i \(-0.133866\pi\)
−0.934179 + 0.356805i \(0.883866\pi\)
\(654\) 548.998 + 954.927i 0.839446 + 1.46013i
\(655\) 1110.99 1.69617
\(656\) 212.592 + 58.6365i 0.324073 + 0.0893849i
\(657\) 161.756i 0.246204i
\(658\) 114.179 + 198.603i 0.173524 + 0.301828i
\(659\) −420.156 + 174.034i −0.637567 + 0.264089i −0.677964 0.735095i \(-0.737138\pi\)
0.0403976 + 0.999184i \(0.487138\pi\)
\(660\) −969.971 + 738.656i −1.46965 + 1.11918i
\(661\) −70.2979 29.1184i −0.106351 0.0440520i 0.328874 0.944374i \(-0.393331\pi\)
−0.435224 + 0.900322i \(0.643331\pi\)
\(662\) 659.717 + 508.141i 0.996551 + 0.767584i
\(663\) 86.7649 + 86.7649i 0.130867 + 0.130867i
\(664\) 13.0902 31.1178i 0.0197141 0.0468641i
\(665\) 75.3107 + 75.3107i 0.113249 + 0.113249i
\(666\) 75.2876 9.77155i 0.113044 0.0146720i
\(667\) −575.310 238.301i −0.862534 0.357273i
\(668\) 217.474 57.4189i 0.325559 0.0859564i
\(669\) −1027.11 + 425.444i −1.53529 + 0.635940i
\(670\) 242.680 899.105i 0.362209 1.34195i
\(671\) 566.054i 0.843598i
\(672\) −273.076 38.4984i −0.406363 0.0572893i
\(673\) 530.197 0.787811 0.393905 0.919151i \(-0.371124\pi\)
0.393905 + 0.919151i \(0.371124\pi\)
\(674\) 370.680 + 100.052i 0.549971 + 0.148444i
\(675\) −442.843 1069.12i −0.656063 1.58388i
\(676\) −643.442 + 169.886i −0.951838 + 0.251311i
\(677\) −49.0775 + 118.483i −0.0724925 + 0.175012i −0.955972 0.293457i \(-0.905194\pi\)
0.883480 + 0.468469i \(0.155194\pi\)
\(678\) 9.83630 + 75.7865i 0.0145078 + 0.111780i
\(679\) −219.741 + 219.741i −0.323625 + 0.323625i
\(680\) −1471.75 + 600.168i −2.16434 + 0.882600i
\(681\) 211.582 211.582i 0.310693 0.310693i
\(682\) −560.477 + 727.664i −0.821814 + 1.06696i
\(683\) −150.278 + 362.803i −0.220026 + 0.531190i −0.994893 0.100934i \(-0.967817\pi\)
0.774867 + 0.632125i \(0.217817\pi\)
\(684\) −24.1275 + 18.3737i −0.0352742 + 0.0268621i
\(685\) 183.656 + 443.385i 0.268111 + 0.647278i
\(686\) 32.1119 18.4615i 0.0468103 0.0269118i
\(687\) 632.148 0.920157
\(688\) 505.473 62.7829i 0.734699 0.0912543i
\(689\) 153.407i 0.222652i
\(690\) −596.892 + 343.159i −0.865060 + 0.497332i
\(691\) −282.265 + 116.918i −0.408487 + 0.169201i −0.577459 0.816420i \(-0.695955\pi\)
0.168971 + 0.985621i \(0.445955\pi\)
\(692\) 70.7258 522.420i 0.102205 0.754943i
\(693\) 43.0794 + 17.8441i 0.0621637 + 0.0257490i
\(694\) −165.676 + 215.096i −0.238726 + 0.309937i
\(695\) 360.712 + 360.712i 0.519010 + 0.519010i
\(696\) −1312.47 7.21174i −1.88573 0.0103617i
\(697\) −226.518 226.518i −0.324989 0.324989i
\(698\) 68.7114 + 529.406i 0.0984404 + 0.758461i
\(699\) 270.991 + 112.248i 0.387684 + 0.160584i
\(700\) 439.668 + 255.995i 0.628097 + 0.365706i
\(701\) −5.45391 + 2.25908i −0.00778018 + 0.00322266i −0.386570 0.922260i \(-0.626340\pi\)
0.378790 + 0.925483i \(0.376340\pi\)
\(702\) −75.3345 20.3338i −0.107314 0.0289655i
\(703\) 111.029i 0.157936i
\(704\) −644.266 275.197i −0.915151 0.390905i
\(705\) 1205.47 1.70989
\(706\) 227.392 842.463i 0.322085 1.19329i
\(707\) −40.2785 97.2409i −0.0569710 0.137540i
\(708\) −102.692 + 176.372i −0.145045 + 0.249113i
\(709\) 82.9411 200.237i 0.116983 0.282422i −0.854532 0.519398i \(-0.826156\pi\)
0.971516 + 0.236976i \(0.0761562\pi\)
\(710\) −1258.73 + 163.370i −1.77285 + 0.230098i
\(711\) −167.994 + 167.994i −0.236278 + 0.236278i
\(712\) 943.190 + 5.18262i 1.32471 + 0.00727896i
\(713\) −366.768 + 366.768i −0.514401 + 0.514401i
\(714\) 317.366 + 244.448i 0.444490 + 0.342365i
\(715\) 58.0404 140.122i 0.0811754 0.195975i
\(716\) 916.505 + 124.077i 1.28003 + 0.173292i
\(717\) 442.159 + 1067.47i 0.616679 + 1.48880i
\(718\) −94.9940 165.233i −0.132304 0.230129i
\(719\) −791.733 −1.10116 −0.550579 0.834783i \(-0.685593\pi\)
−0.550579 + 0.834783i \(0.685593\pi\)
\(720\) −135.329 + 173.714i −0.187957 + 0.241270i
\(721\) 457.507i 0.634546i
\(722\) −337.748 587.480i −0.467796 0.813684i
\(723\) 563.655 233.474i 0.779606 0.322923i
\(724\) 584.151 + 767.083i 0.806839 + 1.05951i
\(725\) 2237.03 + 926.608i 3.08556 + 1.27808i
\(726\) −6.05322 4.66244i −0.00833777 0.00642209i
\(727\) 55.6389 + 55.6389i 0.0765323 + 0.0765323i 0.744337 0.667804i \(-0.232766\pi\)
−0.667804 + 0.744337i \(0.732766\pi\)
\(728\) 31.7664 12.9540i 0.0436351 0.0177940i
\(729\) 393.225 + 393.225i 0.539404 + 0.539404i
\(730\) −1703.40 + 221.083i −2.33342 + 0.302854i
\(731\) −683.576 283.146i −0.935124 0.387341i
\(732\) −171.994 651.426i −0.234965 0.889927i
\(733\) 104.787 43.4043i 0.142957 0.0592146i −0.310058 0.950718i \(-0.600349\pi\)
0.453015 + 0.891503i \(0.350349\pi\)
\(734\) 199.879 740.532i 0.272315 1.00890i
\(735\) 194.911i 0.265185i
\(736\) −340.799 200.944i −0.463042 0.273022i
\(737\) −596.276 −0.809058
\(738\) −42.8485 11.5654i −0.0580603 0.0156713i
\(739\) 128.678 + 310.655i 0.174124 + 0.420372i 0.986715 0.162462i \(-0.0519435\pi\)
−0.812591 + 0.582835i \(0.801944\pi\)
\(740\) −205.802 779.472i −0.278110 1.05334i
\(741\) 9.51419 22.9693i 0.0128397 0.0309977i
\(742\) 64.4622 + 496.667i 0.0868763 + 0.669363i
\(743\) 657.747 657.747i 0.885259 0.885259i −0.108804 0.994063i \(-0.534702\pi\)
0.994063 + 0.108804i \(0.0347022\pi\)
\(744\) −423.909 + 1007.71i −0.569770 + 1.35445i
\(745\) 617.718 617.718i 0.829151 0.829151i
\(746\) −356.053 + 462.261i −0.477282 + 0.619653i
\(747\) −2.59996 + 6.27686i −0.00348053 + 0.00840275i
\(748\) 616.556 + 809.635i 0.824272 + 1.08240i
\(749\) −67.7736 163.620i −0.0904855 0.218451i
\(750\) 1113.97 640.436i 1.48530 0.853914i
\(751\) 576.806 0.768051 0.384025 0.923323i \(-0.374538\pi\)
0.384025 + 0.923323i \(0.374538\pi\)
\(752\) 341.940 + 602.407i 0.454707 + 0.801073i
\(753\) 682.556i 0.906449i
\(754\) 141.547 81.3767i 0.187728 0.107927i
\(755\) 1481.45 613.638i 1.96219 0.812765i
\(756\) −252.445 34.1763i −0.333922 0.0452067i
\(757\) −242.080 100.273i −0.319789 0.132461i 0.217014 0.976168i \(-0.430368\pi\)
−0.536803 + 0.843708i \(0.680368\pi\)