Properties

Label 57.2.j.b.41.4
Level 57
Weight 2
Character 57.41
Analytic conductor 0.455
Analytic rank 0
Dimension 24
CM No

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Newspace parameters

Level: \( N \) = \( 57 = 3 \cdot 19 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 57.j (of order \(18\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(0.455147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{18})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.4
Character \(\chi\) = 57.41
Dual form 57.2.j.b.32.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.49833 + 1.25725i) q^{2} +(-1.72716 + 0.130112i) q^{3} +(0.317026 + 1.79794i) q^{4} +(0.487091 + 0.0858872i) q^{5} +(-2.75144 - 1.97652i) q^{6} +(-0.969730 - 1.67962i) q^{7} +(0.170480 - 0.295279i) q^{8} +(2.96614 - 0.449448i) q^{9} +O(q^{10})\) \(q+(1.49833 + 1.25725i) q^{2} +(-1.72716 + 0.130112i) q^{3} +(0.317026 + 1.79794i) q^{4} +(0.487091 + 0.0858872i) q^{5} +(-2.75144 - 1.97652i) q^{6} +(-0.969730 - 1.67962i) q^{7} +(0.170480 - 0.295279i) q^{8} +(2.96614 - 0.449448i) q^{9} +(0.621842 + 0.741083i) q^{10} +(-3.99257 - 2.30511i) q^{11} +(-0.781488 - 3.06408i) q^{12} +(-1.79223 + 4.92410i) q^{13} +(0.658727 - 3.73582i) q^{14} +(-0.852457 - 0.0849643i) q^{15} +(4.05783 - 1.47693i) q^{16} +(-1.61629 + 1.92622i) q^{17} +(5.00934 + 3.05576i) q^{18} +(2.80139 + 3.33949i) q^{19} +0.902990i q^{20} +(1.89341 + 2.77480i) q^{21} +(-3.08409 - 8.47347i) q^{22} +(3.35200 - 0.591048i) q^{23} +(-0.256026 + 0.532175i) q^{24} +(-4.46858 - 1.62643i) q^{25} +(-8.87617 + 5.12466i) q^{26} +(-5.06451 + 1.16220i) q^{27} +(2.71243 - 2.27600i) q^{28} +(0.872266 - 0.731918i) q^{29} +(-1.17044 - 1.19906i) q^{30} +(-1.31458 + 0.758971i) q^{31} +(7.29606 + 2.65555i) q^{32} +(7.19571 + 3.46180i) q^{33} +(-4.84348 + 0.854036i) q^{34} +(-0.328088 - 0.901415i) q^{35} +(1.74843 + 5.19047i) q^{36} -3.28109i q^{37} +(-0.00115627 + 8.52572i) q^{38} +(2.45477 - 8.73788i) q^{39} +(0.108400 - 0.129186i) q^{40} +(9.40408 - 3.42281i) q^{41} +(-0.651648 + 6.53806i) q^{42} +(-0.829591 + 4.70484i) q^{43} +(2.87871 - 7.90919i) q^{44} +(1.48338 + 0.0358318i) q^{45} +(5.76551 + 3.32872i) q^{46} +(-3.82673 - 4.56052i) q^{47} +(-6.81634 + 3.07886i) q^{48} +(1.61925 - 2.80462i) q^{49} +(-4.65059 - 8.05506i) q^{50} +(2.54096 - 3.53718i) q^{51} +(-9.42143 - 1.66125i) q^{52} +(1.71646 + 9.73455i) q^{53} +(-9.04950 - 4.62600i) q^{54} +(-1.74676 - 1.46571i) q^{55} -0.661277 q^{56} +(-5.27295 - 5.40333i) q^{57} +2.22715 q^{58} +(-0.172251 - 0.144536i) q^{59} +(-0.117490 - 1.55961i) q^{60} +(-1.90402 - 10.7982i) q^{61} +(-2.92389 - 0.515560i) q^{62} +(-3.63126 - 4.54615i) q^{63} +(3.27498 + 5.67243i) q^{64} +(-1.29589 + 2.24455i) q^{65} +(6.42921 + 14.2337i) q^{66} +(0.266197 + 0.317241i) q^{67} +(-3.97564 - 2.29534i) q^{68} +(-5.71253 + 1.45697i) q^{69} +(0.641719 - 1.76311i) q^{70} +(0.540928 - 3.06775i) q^{71} +(0.372954 - 0.952462i) q^{72} +(-0.118214 + 0.0430264i) q^{73} +(4.12516 - 4.91617i) q^{74} +(7.92956 + 2.22768i) q^{75} +(-5.11610 + 6.09545i) q^{76} +8.94133i q^{77} +(14.6638 - 10.0060i) q^{78} +(4.94012 + 13.5729i) q^{79} +(2.10338 - 0.370883i) q^{80} +(8.59599 - 2.66625i) q^{81} +(18.3938 + 6.69478i) q^{82} +(-6.05130 + 3.49372i) q^{83} +(-4.38866 + 4.28393i) q^{84} +(-0.952717 + 0.799425i) q^{85} +(-7.15817 + 6.00642i) q^{86} +(-1.41131 + 1.37763i) q^{87} +(-1.36130 + 0.785948i) q^{88} +(-5.32595 - 1.93849i) q^{89} +(2.17755 + 1.91867i) q^{90} +(10.0086 - 1.76478i) q^{91} +(2.12534 + 5.83933i) q^{92} +(2.17173 - 1.48190i) q^{93} -11.6443i q^{94} +(1.07771 + 1.86724i) q^{95} +(-12.9470 - 3.63724i) q^{96} +(-4.49760 + 5.36003i) q^{97} +(5.95229 - 2.16645i) q^{98} +(-12.8785 - 5.04283i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} + O(q^{10}) \) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} - 6q^{10} + 9q^{12} + 6q^{13} - 9q^{15} + 30q^{16} - 12q^{19} - 6q^{21} + 24q^{22} - 21q^{24} + 12q^{25} - 27q^{27} - 48q^{28} + 42q^{30} - 18q^{31} + 21q^{33} - 42q^{34} + 63q^{36} + 30q^{40} + 105q^{42} + 54q^{43} + 6q^{45} - 54q^{46} - 33q^{48} + 6q^{49} + 3q^{51} - 48q^{52} - 87q^{54} - 90q^{55} - 6q^{57} + 24q^{58} - 66q^{60} - 6q^{61} - 9q^{63} + 18q^{64} - 57q^{66} - 36q^{69} + 18q^{70} + 24q^{72} + 90q^{73} + 12q^{76} + 9q^{78} + 30q^{79} + 3q^{81} + 126q^{82} + 99q^{84} - 6q^{85} + 15q^{87} + 54q^{88} + 24q^{90} + 66q^{91} + 33q^{93} - 18q^{96} - 78q^{97} + 12q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.49833 + 1.25725i 1.05948 + 0.889010i 0.994058 0.108847i \(-0.0347160\pi\)
0.0654227 + 0.997858i \(0.479160\pi\)
\(3\) −1.72716 + 0.130112i −0.997174 + 0.0751202i
\(4\) 0.317026 + 1.79794i 0.158513 + 0.898972i
\(5\) 0.487091 + 0.0858872i 0.217834 + 0.0384099i 0.281500 0.959561i \(-0.409168\pi\)
−0.0636661 + 0.997971i \(0.520279\pi\)
\(6\) −2.75144 1.97652i −1.12327 0.806910i
\(7\) −0.969730 1.67962i −0.366523 0.634837i 0.622496 0.782623i \(-0.286119\pi\)
−0.989019 + 0.147786i \(0.952785\pi\)
\(8\) 0.170480 0.295279i 0.0602737 0.104397i
\(9\) 2.96614 0.449448i 0.988714 0.149816i
\(10\) 0.621842 + 0.741083i 0.196644 + 0.234351i
\(11\) −3.99257 2.30511i −1.20380 0.695016i −0.242405 0.970175i \(-0.577936\pi\)
−0.961399 + 0.275159i \(0.911270\pi\)
\(12\) −0.781488 3.06408i −0.225596 0.884524i
\(13\) −1.79223 + 4.92410i −0.497074 + 1.36570i 0.397016 + 0.917812i \(0.370046\pi\)
−0.894090 + 0.447887i \(0.852177\pi\)
\(14\) 0.658727 3.73582i 0.176052 0.998441i
\(15\) −0.852457 0.0849643i −0.220103 0.0219377i
\(16\) 4.05783 1.47693i 1.01446 0.369232i
\(17\) −1.61629 + 1.92622i −0.392008 + 0.467177i −0.925566 0.378587i \(-0.876410\pi\)
0.533558 + 0.845764i \(0.320855\pi\)
\(18\) 5.00934 + 3.05576i 1.18071 + 0.720250i
\(19\) 2.80139 + 3.33949i 0.642684 + 0.766132i
\(20\) 0.902990i 0.201915i
\(21\) 1.89341 + 2.77480i 0.413177 + 0.605510i
\(22\) −3.08409 8.47347i −0.657531 1.80655i
\(23\) 3.35200 0.591048i 0.698940 0.123242i 0.187123 0.982336i \(-0.440084\pi\)
0.511817 + 0.859094i \(0.328973\pi\)
\(24\) −0.256026 + 0.532175i −0.0522610 + 0.108630i
\(25\) −4.46858 1.62643i −0.893716 0.325286i
\(26\) −8.87617 + 5.12466i −1.74076 + 1.00503i
\(27\) −5.06451 + 1.16220i −0.974666 + 0.223665i
\(28\) 2.71243 2.27600i 0.512602 0.430124i
\(29\) 0.872266 0.731918i 0.161976 0.135914i −0.558197 0.829708i \(-0.688507\pi\)
0.720173 + 0.693794i \(0.244062\pi\)
\(30\) −1.17044 1.19906i −0.213693 0.218917i
\(31\) −1.31458 + 0.758971i −0.236105 + 0.136315i −0.613385 0.789784i \(-0.710193\pi\)
0.377280 + 0.926099i \(0.376859\pi\)
\(32\) 7.29606 + 2.65555i 1.28977 + 0.469439i
\(33\) 7.19571 + 3.46180i 1.25261 + 0.602623i
\(34\) −4.84348 + 0.854036i −0.830650 + 0.146466i
\(35\) −0.328088 0.901415i −0.0554570 0.152367i
\(36\) 1.74843 + 5.19047i 0.291404 + 0.865078i
\(37\) 3.28109i 0.539408i −0.962943 0.269704i \(-0.913074\pi\)
0.962943 0.269704i \(-0.0869259\pi\)
\(38\) −0.00115627 + 8.52572i −0.000187572 + 1.38305i
\(39\) 2.45477 8.73788i 0.393078 1.39918i
\(40\) 0.108400 0.129186i 0.0171395 0.0204261i
\(41\) 9.40408 3.42281i 1.46867 0.534552i 0.520932 0.853598i \(-0.325585\pi\)
0.947739 + 0.319046i \(0.103362\pi\)
\(42\) −0.651648 + 6.53806i −0.100552 + 1.00884i
\(43\) −0.829591 + 4.70484i −0.126511 + 0.717482i 0.853887 + 0.520458i \(0.174239\pi\)
−0.980399 + 0.197024i \(0.936872\pi\)
\(44\) 2.87871 7.90919i 0.433982 1.19235i
\(45\) 1.48338 + 0.0358318i 0.221129 + 0.00534149i
\(46\) 5.76551 + 3.32872i 0.850078 + 0.490793i
\(47\) −3.82673 4.56052i −0.558186 0.665220i 0.410976 0.911646i \(-0.365188\pi\)
−0.969162 + 0.246426i \(0.920744\pi\)
\(48\) −6.81634 + 3.07886i −0.983854 + 0.444395i
\(49\) 1.61925 2.80462i 0.231321 0.400660i
\(50\) −4.65059 8.05506i −0.657693 1.13916i
\(51\) 2.54096 3.53718i 0.355806 0.495305i
\(52\) −9.42143 1.66125i −1.30652 0.230374i
\(53\) 1.71646 + 9.73455i 0.235774 + 1.33714i 0.840977 + 0.541071i \(0.181981\pi\)
−0.605202 + 0.796072i \(0.706908\pi\)
\(54\) −9.04950 4.62600i −1.23148 0.629519i
\(55\) −1.74676 1.46571i −0.235533 0.197636i
\(56\) −0.661277 −0.0883668
\(57\) −5.27295 5.40333i −0.698420 0.715688i
\(58\) 2.22715 0.292439
\(59\) −0.172251 0.144536i −0.0224252 0.0188170i 0.631506 0.775371i \(-0.282437\pi\)
−0.653931 + 0.756554i \(0.726881\pi\)
\(60\) −0.117490 1.55961i −0.0151679 0.201344i
\(61\) −1.90402 10.7982i −0.243785 1.38257i −0.823298 0.567610i \(-0.807868\pi\)
0.579513 0.814963i \(-0.303243\pi\)
\(62\) −2.92389 0.515560i −0.371334 0.0654762i
\(63\) −3.63126 4.54615i −0.457495 0.572761i
\(64\) 3.27498 + 5.67243i 0.409372 + 0.709054i
\(65\) −1.29589 + 2.24455i −0.160736 + 0.278402i
\(66\) 6.42921 + 14.2337i 0.791381 + 1.75205i
\(67\) 0.266197 + 0.317241i 0.0325211 + 0.0387572i 0.782060 0.623203i \(-0.214169\pi\)
−0.749539 + 0.661960i \(0.769725\pi\)
\(68\) −3.97564 2.29534i −0.482117 0.278350i
\(69\) −5.71253 + 1.45697i −0.687708 + 0.175398i
\(70\) 0.641719 1.76311i 0.0767001 0.210732i
\(71\) 0.540928 3.06775i 0.0641963 0.364075i −0.935739 0.352694i \(-0.885266\pi\)
0.999935 0.0113819i \(-0.00362306\pi\)
\(72\) 0.372954 0.952462i 0.0439531 0.112249i
\(73\) −0.118214 + 0.0430264i −0.0138359 + 0.00503586i −0.348929 0.937149i \(-0.613455\pi\)
0.335093 + 0.942185i \(0.391232\pi\)
\(74\) 4.12516 4.91617i 0.479540 0.571493i
\(75\) 7.92956 + 2.22768i 0.915627 + 0.257231i
\(76\) −5.11610 + 6.09545i −0.586857 + 0.699196i
\(77\) 8.94133i 1.01896i
\(78\) 14.6638 10.0060i 1.66034 1.13296i
\(79\) 4.94012 + 13.5729i 0.555807 + 1.52707i 0.825661 + 0.564167i \(0.190802\pi\)
−0.269854 + 0.962901i \(0.586975\pi\)
\(80\) 2.10338 0.370883i 0.235165 0.0414660i
\(81\) 8.59599 2.66625i 0.955110 0.296250i
\(82\) 18.3938 + 6.69478i 2.03125 + 0.739315i
\(83\) −6.05130 + 3.49372i −0.664217 + 0.383486i −0.793882 0.608072i \(-0.791943\pi\)
0.129665 + 0.991558i \(0.458610\pi\)
\(84\) −4.38866 + 4.28393i −0.478842 + 0.467415i
\(85\) −0.952717 + 0.799425i −0.103337 + 0.0867098i
\(86\) −7.15817 + 6.00642i −0.771885 + 0.647689i
\(87\) −1.41131 + 1.37763i −0.151308 + 0.147697i
\(88\) −1.36130 + 0.785948i −0.145115 + 0.0837824i
\(89\) −5.32595 1.93849i −0.564549 0.205479i 0.0439498 0.999034i \(-0.486006\pi\)
−0.608499 + 0.793555i \(0.708228\pi\)
\(90\) 2.17755 + 1.91867i 0.229534 + 0.202246i
\(91\) 10.0086 1.76478i 1.04919 0.185000i
\(92\) 2.12534 + 5.83933i 0.221582 + 0.608792i
\(93\) 2.17173 1.48190i 0.225198 0.153666i
\(94\) 11.6443i 1.20102i
\(95\) 1.07771 + 1.86724i 0.110571 + 0.191575i
\(96\) −12.9470 3.63724i −1.32139 0.371224i
\(97\) −4.49760 + 5.36003i −0.456662 + 0.544229i −0.944416 0.328752i \(-0.893372\pi\)
0.487754 + 0.872981i \(0.337816\pi\)
\(98\) 5.95229 2.16645i 0.601272 0.218845i
\(99\) −12.8785 5.04283i −1.29434 0.506823i
\(100\) 1.50757 8.54988i 0.150757 0.854988i
\(101\) 3.72167 10.2252i 0.370320 1.01745i −0.604918 0.796288i \(-0.706794\pi\)
0.975238 0.221158i \(-0.0709836\pi\)
\(102\) 8.25433 2.10525i 0.817300 0.208451i
\(103\) −2.06571 1.19264i −0.203540 0.117514i 0.394766 0.918782i \(-0.370826\pi\)
−0.598306 + 0.801268i \(0.704159\pi\)
\(104\) 1.14845 + 1.36867i 0.112614 + 0.134209i
\(105\) 0.683945 + 1.51420i 0.0667462 + 0.147770i
\(106\) −9.66693 + 16.7436i −0.938935 + 1.62628i
\(107\) 4.30693 + 7.45983i 0.416367 + 0.721169i 0.995571 0.0940139i \(-0.0299698\pi\)
−0.579204 + 0.815183i \(0.696636\pi\)
\(108\) −3.69515 8.73726i −0.355566 0.840743i
\(109\) −4.49188 0.792039i −0.430244 0.0758636i −0.0456672 0.998957i \(-0.514541\pi\)
−0.384576 + 0.923093i \(0.625652\pi\)
\(110\) −0.774469 4.39223i −0.0738428 0.418783i
\(111\) 0.426910 + 5.66696i 0.0405205 + 0.537884i
\(112\) −6.41568 5.38339i −0.606225 0.508683i
\(113\) −8.90791 −0.837985 −0.418993 0.907990i \(-0.637617\pi\)
−0.418993 + 0.907990i \(0.637617\pi\)
\(114\) −1.10730 14.7254i −0.103708 1.37916i
\(115\) 1.68349 0.156986
\(116\) 1.59248 + 1.33625i 0.147858 + 0.124067i
\(117\) −3.10287 + 15.4111i −0.286860 + 1.42476i
\(118\) −0.0763718 0.433126i −0.00703059 0.0398725i
\(119\) 4.80268 + 0.846843i 0.440261 + 0.0776299i
\(120\) −0.170415 + 0.237228i −0.0155567 + 0.0216559i
\(121\) 5.12705 + 8.88031i 0.466096 + 0.807301i
\(122\) 10.7232 18.5732i 0.970836 1.68154i
\(123\) −15.7970 + 7.13531i −1.42437 + 0.643369i
\(124\) −1.78134 2.12292i −0.159969 0.190644i
\(125\) −4.17862 2.41253i −0.373747 0.215783i
\(126\) 0.274818 11.3770i 0.0244827 1.01355i
\(127\) 2.91821 8.01772i 0.258949 0.711458i −0.740283 0.672295i \(-0.765309\pi\)
0.999233 0.0391627i \(-0.0124691\pi\)
\(128\) 0.471857 2.67603i 0.0417066 0.236530i
\(129\) 0.820676 8.23394i 0.0722565 0.724958i
\(130\) −4.76364 + 1.73382i −0.417799 + 0.152066i
\(131\) −9.62927 + 11.4757i −0.841313 + 1.00264i 0.158570 + 0.987348i \(0.449312\pi\)
−0.999883 + 0.0152905i \(0.995133\pi\)
\(132\) −3.94290 + 14.0350i −0.343185 + 1.22159i
\(133\) 2.89248 7.94368i 0.250810 0.688805i
\(134\) 0.810009i 0.0699741i
\(135\) −2.56669 + 0.131119i −0.220906 + 0.0112849i
\(136\) 0.293228 + 0.805638i 0.0251441 + 0.0690829i
\(137\) 1.81606 0.320220i 0.155157 0.0273583i −0.0955303 0.995427i \(-0.530455\pi\)
0.250687 + 0.968068i \(0.419344\pi\)
\(138\) −10.3910 4.99906i −0.884544 0.425548i
\(139\) 3.82337 + 1.39159i 0.324294 + 0.118033i 0.499037 0.866581i \(-0.333687\pi\)
−0.174743 + 0.984614i \(0.555909\pi\)
\(140\) 1.51668 0.875656i 0.128183 0.0740064i
\(141\) 7.20274 + 7.37883i 0.606580 + 0.621409i
\(142\) 4.66743 3.91643i 0.391682 0.328660i
\(143\) 18.5062 15.5285i 1.54756 1.29856i
\(144\) 11.3723 6.20457i 0.947691 0.517047i
\(145\) 0.487735 0.281594i 0.0405042 0.0233851i
\(146\) −0.231219 0.0841568i −0.0191358 0.00696486i
\(147\) −2.43178 + 5.05471i −0.200570 + 0.416905i
\(148\) 5.89922 1.04019i 0.484913 0.0855032i
\(149\) 1.40291 + 3.85446i 0.114931 + 0.315770i 0.983799 0.179273i \(-0.0573746\pi\)
−0.868869 + 0.495043i \(0.835152\pi\)
\(150\) 9.08036 + 13.3073i 0.741409 + 1.08653i
\(151\) 21.1107i 1.71796i −0.512006 0.858982i \(-0.671098\pi\)
0.512006 0.858982i \(-0.328902\pi\)
\(152\) 1.46366 0.257879i 0.118719 0.0209167i
\(153\) −3.92841 + 6.43988i −0.317593 + 0.520633i
\(154\) −11.2415 + 13.3971i −0.905865 + 1.07957i
\(155\) −0.705503 + 0.256782i −0.0566674 + 0.0206252i
\(156\) 16.4884 + 1.64340i 1.32013 + 0.131577i
\(157\) −1.07553 + 6.09962i −0.0858364 + 0.486803i 0.911337 + 0.411662i \(0.135052\pi\)
−0.997173 + 0.0751405i \(0.976059\pi\)
\(158\) −9.66256 + 26.5477i −0.768712 + 2.11202i
\(159\) −4.23118 16.5898i −0.335555 1.31565i
\(160\) 3.32576 + 1.92013i 0.262925 + 0.151800i
\(161\) −4.24327 5.05693i −0.334417 0.398542i
\(162\) 16.2318 + 6.81238i 1.27529 + 0.535231i
\(163\) −0.853080 + 1.47758i −0.0668184 + 0.115733i −0.897499 0.441016i \(-0.854618\pi\)
0.830681 + 0.556749i \(0.187951\pi\)
\(164\) 9.13535 + 15.8229i 0.713351 + 1.23556i
\(165\) 3.20764 + 2.30423i 0.249714 + 0.179384i
\(166\) −13.4593 2.37325i −1.04465 0.184200i
\(167\) −0.922825 5.23360i −0.0714104 0.404988i −0.999470 0.0325564i \(-0.989635\pi\)
0.928060 0.372432i \(-0.121476\pi\)
\(168\) 1.14213 0.0860401i 0.0881171 0.00663814i
\(169\) −11.0761 9.29394i −0.852007 0.714919i
\(170\) −2.43256 −0.186569
\(171\) 9.81026 + 8.64632i 0.750209 + 0.661201i
\(172\) −8.72204 −0.665049
\(173\) −8.83296 7.41174i −0.671558 0.563504i 0.241968 0.970284i \(-0.422207\pi\)
−0.913526 + 0.406780i \(0.866651\pi\)
\(174\) −3.84663 + 0.289779i −0.291613 + 0.0219681i
\(175\) 1.60153 + 9.08272i 0.121064 + 0.686589i
\(176\) −19.6056 3.45700i −1.47783 0.260581i
\(177\) 0.316311 + 0.227224i 0.0237754 + 0.0170792i
\(178\) −5.54288 9.60055i −0.415456 0.719591i
\(179\) −8.87880 + 15.3785i −0.663633 + 1.14945i 0.316021 + 0.948752i \(0.397653\pi\)
−0.979654 + 0.200694i \(0.935680\pi\)
\(180\) 0.405847 + 2.67840i 0.0302500 + 0.199636i
\(181\) −7.50836 8.94811i −0.558092 0.665108i 0.411050 0.911613i \(-0.365162\pi\)
−0.969142 + 0.246505i \(0.920718\pi\)
\(182\) 17.2150 + 9.93907i 1.27606 + 0.736733i
\(183\) 4.69352 + 18.4025i 0.346955 + 1.36035i
\(184\) 0.396924 1.09054i 0.0292616 0.0803956i
\(185\) 0.281804 1.59819i 0.0207186 0.117501i
\(186\) 5.11709 + 0.510020i 0.375203 + 0.0373965i
\(187\) 10.8933 3.96483i 0.796596 0.289937i
\(188\) 6.98638 8.32605i 0.509534 0.607239i
\(189\) 6.86326 + 7.37944i 0.499229 + 0.536776i
\(190\) −0.732814 + 4.15270i −0.0531639 + 0.301268i
\(191\) 2.85848i 0.206833i −0.994638 0.103416i \(-0.967023\pi\)
0.994638 0.103416i \(-0.0329774\pi\)
\(192\) −6.39445 9.37106i −0.461480 0.676298i
\(193\) −2.56804 7.05562i −0.184851 0.507875i 0.812305 0.583232i \(-0.198212\pi\)
−0.997157 + 0.0753578i \(0.975990\pi\)
\(194\) −13.4778 + 2.37650i −0.967650 + 0.170623i
\(195\) 1.94617 4.04531i 0.139368 0.289690i
\(196\) 5.55590 + 2.02218i 0.396850 + 0.144441i
\(197\) 13.9117 8.03191i 0.991165 0.572250i 0.0855430 0.996334i \(-0.472737\pi\)
0.905622 + 0.424085i \(0.139404\pi\)
\(198\) −12.9562 23.7474i −0.920760 1.68765i
\(199\) 4.85208 4.07138i 0.343955 0.288612i −0.454402 0.890797i \(-0.650147\pi\)
0.798357 + 0.602184i \(0.205703\pi\)
\(200\) −1.24205 + 1.04221i −0.0878265 + 0.0736952i
\(201\) −0.501041 0.513290i −0.0353407 0.0362047i
\(202\) 18.4319 10.6417i 1.29687 0.748746i
\(203\) −2.07521 0.755313i −0.145651 0.0530126i
\(204\) 7.16520 + 3.44713i 0.501665 + 0.241347i
\(205\) 4.87462 0.859526i 0.340458 0.0600319i
\(206\) −1.59567 4.38407i −0.111176 0.305453i
\(207\) 9.67686 3.25968i 0.672589 0.226564i
\(208\) 22.6281i 1.56898i
\(209\) −3.48686 19.7906i −0.241191 1.36895i
\(210\) −0.878948 + 3.12866i −0.0606532 + 0.215898i
\(211\) −7.05933 + 8.41298i −0.485984 + 0.579174i −0.952191 0.305502i \(-0.901176\pi\)
0.466207 + 0.884676i \(0.345620\pi\)
\(212\) −16.9580 + 6.17221i −1.16468 + 0.423909i
\(213\) −0.535115 + 5.36887i −0.0366655 + 0.367869i
\(214\) −2.92565 + 16.5922i −0.199994 + 1.13422i
\(215\) −0.808172 + 2.22043i −0.0551168 + 0.151432i
\(216\) −0.520223 + 1.69358i −0.0353967 + 0.115233i
\(217\) 2.54957 + 1.47199i 0.173076 + 0.0999254i
\(218\) −5.73453 6.83415i −0.388392 0.462867i
\(219\) 0.198576 0.0896944i 0.0134185 0.00606098i
\(220\) 2.08149 3.60525i 0.140334 0.243066i
\(221\) −6.58814 11.4110i −0.443166 0.767586i
\(222\) −6.48514 + 9.02773i −0.435254 + 0.605901i
\(223\) 23.0897 + 4.07134i 1.54620 + 0.272637i 0.880669 0.473732i \(-0.157093\pi\)
0.665532 + 0.746369i \(0.268205\pi\)
\(224\) −2.61489 14.8298i −0.174715 0.990856i
\(225\) −13.9854 2.81583i −0.932363 0.187722i
\(226\) −13.3470 11.1995i −0.887830 0.744978i
\(227\) 0.844414 0.0560457 0.0280229 0.999607i \(-0.491079\pi\)
0.0280229 + 0.999607i \(0.491079\pi\)
\(228\) 8.04322 11.1935i 0.532675 0.741306i
\(229\) 6.53705 0.431981 0.215990 0.976395i \(-0.430702\pi\)
0.215990 + 0.976395i \(0.430702\pi\)
\(230\) 2.52243 + 2.11657i 0.166324 + 0.139563i
\(231\) −1.16337 15.4431i −0.0765444 1.01608i
\(232\) −0.0674167 0.382339i −0.00442613 0.0251018i
\(233\) 26.4558 + 4.66487i 1.73318 + 0.305606i 0.949081 0.315033i \(-0.102016\pi\)
0.784096 + 0.620639i \(0.213127\pi\)
\(234\) −24.0247 + 19.1898i −1.57055 + 1.25448i
\(235\) −1.47227 2.55005i −0.0960406 0.166347i
\(236\) 0.205259 0.355519i 0.0133612 0.0231423i
\(237\) −10.2984 22.7997i −0.668951 1.48100i
\(238\) 6.13132 + 7.30703i 0.397435 + 0.473644i
\(239\) 19.6545 + 11.3476i 1.27135 + 0.734012i 0.975241 0.221143i \(-0.0709789\pi\)
0.296105 + 0.955155i \(0.404312\pi\)
\(240\) −3.58461 + 0.914248i −0.231386 + 0.0590144i
\(241\) −8.49003 + 23.3262i −0.546891 + 1.50257i 0.290994 + 0.956725i \(0.406014\pi\)
−0.837885 + 0.545846i \(0.816208\pi\)
\(242\) −3.48275 + 19.7517i −0.223880 + 1.26968i
\(243\) −14.4997 + 5.72348i −0.930157 + 0.367161i
\(244\) 18.8110 6.84664i 1.20425 0.438312i
\(245\) 1.02960 1.22703i 0.0657789 0.0783922i
\(246\) −32.6400 9.16969i −2.08105 0.584638i
\(247\) −21.4647 + 7.80922i −1.36577 + 0.496889i
\(248\) 0.517556i 0.0328649i
\(249\) 9.99697 6.82155i 0.633532 0.432298i
\(250\) −3.22781 8.86833i −0.204145 0.560883i
\(251\) 15.8837 2.80072i 1.00257 0.176780i 0.351815 0.936070i \(-0.385565\pi\)
0.650753 + 0.759290i \(0.274453\pi\)
\(252\) 7.02252 7.97004i 0.442377 0.502066i
\(253\) −14.7455 5.36693i −0.927042 0.337416i
\(254\) 14.4527 8.34429i 0.906845 0.523567i
\(255\) 1.54148 1.50469i 0.0965311 0.0942275i
\(256\) 14.1066 11.8368i 0.881660 0.739801i
\(257\) −10.9469 + 9.18557i −0.682851 + 0.572980i −0.916838 0.399260i \(-0.869267\pi\)
0.233987 + 0.972240i \(0.424823\pi\)
\(258\) 11.5818 11.3054i 0.721050 0.703843i
\(259\) −5.51099 + 3.18177i −0.342436 + 0.197706i
\(260\) −4.44641 1.61836i −0.275755 0.100366i
\(261\) 2.25831 2.56301i 0.139786 0.158646i
\(262\) −28.8557 + 5.08804i −1.78271 + 0.314340i
\(263\) −4.39828 12.0842i −0.271209 0.745141i −0.998283 0.0585816i \(-0.981342\pi\)
0.727073 0.686560i \(-0.240880\pi\)
\(264\) 2.24892 1.53458i 0.138412 0.0944467i
\(265\) 4.88903i 0.300331i
\(266\) 14.3211 8.26570i 0.878083 0.506803i
\(267\) 9.45097 + 2.65510i 0.578390 + 0.162489i
\(268\) −0.485990 + 0.579180i −0.0296866 + 0.0353791i
\(269\) −26.5458 + 9.66190i −1.61853 + 0.589096i −0.983101 0.183064i \(-0.941399\pi\)
−0.635428 + 0.772160i \(0.719176\pi\)
\(270\) −4.01061 3.03052i −0.244078 0.184432i
\(271\) −0.00607291 + 0.0344412i −0.000368903 + 0.00209215i −0.984992 0.172602i \(-0.944783\pi\)
0.984623 + 0.174694i \(0.0558937\pi\)
\(272\) −3.71374 + 10.2034i −0.225179 + 0.618673i
\(273\) −17.0568 + 4.35030i −1.03232 + 0.263292i
\(274\) 3.12366 + 1.80345i 0.188707 + 0.108950i
\(275\) 14.0920 + 16.7942i 0.849780 + 1.01273i
\(276\) −4.43057 9.80891i −0.266689 0.590427i
\(277\) 6.22597 10.7837i 0.374082 0.647929i −0.616107 0.787662i \(-0.711291\pi\)
0.990189 + 0.139733i \(0.0446245\pi\)
\(278\) 3.97910 + 6.89201i 0.238651 + 0.413355i
\(279\) −3.55810 + 2.84205i −0.213018 + 0.170149i
\(280\) −0.322102 0.0567952i −0.0192493 0.00339416i
\(281\) 5.22472 + 29.6308i 0.311680 + 1.76763i 0.590259 + 0.807214i \(0.299026\pi\)
−0.278579 + 0.960413i \(0.589863\pi\)
\(282\) 1.51507 + 20.1116i 0.0902210 + 1.19763i
\(283\) 21.0118 + 17.6310i 1.24902 + 1.04805i 0.996763 + 0.0803941i \(0.0256179\pi\)
0.252259 + 0.967660i \(0.418827\pi\)
\(284\) 5.68714 0.337469
\(285\) −2.10433 3.08479i −0.124650 0.182727i
\(286\) 47.2516 2.79405
\(287\) −14.8684 12.4761i −0.877656 0.736441i
\(288\) 22.8347 + 4.59753i 1.34555 + 0.270912i
\(289\) 1.85409 + 10.5151i 0.109064 + 0.618534i
\(290\) 1.08482 + 0.191284i 0.0637030 + 0.0112326i
\(291\) 7.07066 9.84281i 0.414489 0.576995i
\(292\) −0.114836 0.198902i −0.00672026 0.0116398i
\(293\) 4.44167 7.69320i 0.259485 0.449442i −0.706619 0.707594i \(-0.749780\pi\)
0.966104 + 0.258153i \(0.0831138\pi\)
\(294\) −9.99865 + 4.51627i −0.583133 + 0.263394i
\(295\) −0.0714881 0.0851963i −0.00416220 0.00496032i
\(296\) −0.968839 0.559360i −0.0563126 0.0325121i
\(297\) 22.8994 + 7.03410i 1.32876 + 0.408160i
\(298\) −2.74400 + 7.53907i −0.158956 + 0.436727i
\(299\) −3.09716 + 17.5649i −0.179113 + 1.01580i
\(300\) −1.49138 + 14.9631i −0.0861046 + 0.863897i
\(301\) 8.70683 3.16903i 0.501853 0.182660i
\(302\) 26.5414 31.6308i 1.52729 1.82015i
\(303\) −5.09748 + 18.1448i −0.292843 + 1.04239i
\(304\) 16.2998 + 9.41363i 0.934856 + 0.539908i
\(305\) 5.42325i 0.310535i
\(306\) −13.9826 + 4.71008i −0.799332 + 0.269258i
\(307\) −7.84228 21.5465i −0.447582 1.22972i −0.934402 0.356220i \(-0.884065\pi\)
0.486820 0.873503i \(-0.338157\pi\)
\(308\) −16.0760 + 2.83463i −0.916015 + 0.161518i
\(309\) 3.72297 + 1.79110i 0.211793 + 0.101892i
\(310\) −1.37992 0.502249i −0.0783741 0.0285258i
\(311\) 12.5985 7.27375i 0.714396 0.412457i −0.0982907 0.995158i \(-0.531338\pi\)
0.812687 + 0.582701i \(0.198004\pi\)
\(312\) −2.16163 2.21447i −0.122378 0.125370i
\(313\) −13.4333 + 11.2718i −0.759292 + 0.637122i −0.937943 0.346791i \(-0.887271\pi\)
0.178650 + 0.983913i \(0.442827\pi\)
\(314\) −9.28025 + 7.78705i −0.523715 + 0.439449i
\(315\) −1.37830 2.52627i −0.0776581 0.142339i
\(316\) −22.8371 + 13.1850i −1.28469 + 0.741715i
\(317\) −16.5955 6.04028i −0.932098 0.339256i −0.169057 0.985606i \(-0.554072\pi\)
−0.763041 + 0.646351i \(0.776294\pi\)
\(318\) 14.5178 30.1766i 0.814115 1.69222i
\(319\) −5.16973 + 0.911563i −0.289449 + 0.0510377i
\(320\) 1.10802 + 3.04427i 0.0619403 + 0.170180i
\(321\) −8.40936 12.3239i −0.469365 0.687854i
\(322\) 12.9118i 0.719548i
\(323\) −10.9605 0.00148648i −0.609856 8.27097e-5i
\(324\) 7.51892 + 14.6098i 0.417718 + 0.811658i
\(325\) 16.0174 19.0888i 0.888486 1.05886i
\(326\) −3.13588 + 1.14137i −0.173681 + 0.0632146i
\(327\) 7.86123 + 0.783528i 0.434727 + 0.0433292i
\(328\) 0.592520 3.36035i 0.0327165 0.185544i
\(329\) −3.94905 + 10.8499i −0.217718 + 0.598176i
\(330\) 1.90911 + 7.48531i 0.105093 + 0.412053i
\(331\) −3.69737 2.13468i −0.203226 0.117332i 0.394933 0.918710i \(-0.370768\pi\)
−0.598159 + 0.801377i \(0.704101\pi\)
\(332\) −8.19993 9.77230i −0.450030 0.536325i
\(333\) −1.47468 9.73219i −0.0808120 0.533320i
\(334\) 5.19725 9.00190i 0.284381 0.492562i
\(335\) 0.102415 + 0.177388i 0.00559553 + 0.00969174i
\(336\) 11.7813 + 8.46321i 0.642724 + 0.461706i
\(337\) −20.0909 3.54257i −1.09442 0.192976i −0.402837 0.915272i \(-0.631976\pi\)
−0.691585 + 0.722295i \(0.743087\pi\)
\(338\) −4.91085 27.8508i −0.267115 1.51489i
\(339\) 15.3854 1.15903i 0.835618 0.0629497i
\(340\) −1.73936 1.45949i −0.0943299 0.0791521i
\(341\) 6.99804 0.378965
\(342\) 3.82844 + 25.2890i 0.207018 + 1.36747i
\(343\) −19.8571 −1.07219
\(344\) 1.24781 + 1.04704i 0.0672777 + 0.0564527i
\(345\) −2.90765 + 0.219043i −0.156543 + 0.0117929i
\(346\) −3.91631 22.2105i −0.210542 1.19404i
\(347\) −26.1493 4.61083i −1.40377 0.247522i −0.580078 0.814561i \(-0.696978\pi\)
−0.823691 + 0.567039i \(0.808089\pi\)
\(348\) −2.92432 2.10071i −0.156760 0.112610i
\(349\) −1.37375 2.37941i −0.0735352 0.127367i 0.826913 0.562330i \(-0.190095\pi\)
−0.900448 + 0.434963i \(0.856761\pi\)
\(350\) −9.01963 + 15.6225i −0.482120 + 0.835056i
\(351\) 3.35397 27.0211i 0.179022 1.44228i
\(352\) −23.0087 27.4207i −1.22637 1.46153i
\(353\) −21.0798 12.1704i −1.12197 0.647767i −0.180063 0.983655i \(-0.557630\pi\)
−0.941902 + 0.335888i \(0.890964\pi\)
\(354\) 0.188261 + 0.738139i 0.0100060 + 0.0392317i
\(355\) 0.526962 1.44782i 0.0279682 0.0768421i
\(356\) 1.79683 10.1903i 0.0952315 0.540085i
\(357\) −8.40517 0.837743i −0.444849 0.0443381i
\(358\) −32.6381 + 11.8793i −1.72498 + 0.627840i
\(359\) −19.5952 + 23.3526i −1.03419 + 1.23251i −0.0620627 + 0.998072i \(0.519768\pi\)
−0.972132 + 0.234433i \(0.924677\pi\)
\(360\) 0.263467 0.431903i 0.0138859 0.0227633i
\(361\) −3.30439 + 18.7105i −0.173915 + 0.984761i
\(362\) 22.8471i 1.20082i
\(363\) −10.0107 14.6706i −0.525423 0.770007i
\(364\) 6.34597 + 17.4354i 0.332619 + 0.913863i
\(365\) −0.0612763 + 0.0108047i −0.00320735 + 0.000565542i
\(366\) −16.1041 + 33.4740i −0.841776 + 1.74972i
\(367\) 11.0315 + 4.01514i 0.575839 + 0.209588i 0.613490 0.789703i \(-0.289765\pi\)
−0.0376505 + 0.999291i \(0.511987\pi\)
\(368\) 12.7289 7.34904i 0.663541 0.383095i
\(369\) 26.3555 14.3792i 1.37201 0.748550i
\(370\) 2.43156 2.04032i 0.126411 0.106071i
\(371\) 14.6858 12.3229i 0.762451 0.639772i
\(372\) 3.35287 + 3.43484i 0.173838 + 0.178088i
\(373\) 21.0815 12.1714i 1.09156 0.630212i 0.157567 0.987508i \(-0.449635\pi\)
0.933991 + 0.357297i \(0.116302\pi\)
\(374\) 21.3066 + 7.75495i 1.10174 + 0.400999i
\(375\) 7.53102 + 3.62312i 0.388900 + 0.187097i
\(376\) −1.99901 + 0.352479i −0.103091 + 0.0181777i
\(377\) 2.04074 + 5.60688i 0.105103 + 0.288769i
\(378\) 1.00564 + 19.6857i 0.0517244 + 1.01252i
\(379\) 5.14415i 0.264237i 0.991234 + 0.132119i \(0.0421780\pi\)
−0.991234 + 0.132119i \(0.957822\pi\)
\(380\) −3.01553 + 2.52963i −0.154693 + 0.129767i
\(381\) −3.99701 + 14.2276i −0.204773 + 0.728900i
\(382\) 3.59383 4.28296i 0.183876 0.219135i
\(383\) 10.8810 3.96036i 0.555993 0.202365i −0.0487143 0.998813i \(-0.515512\pi\)
0.604707 + 0.796448i \(0.293290\pi\)
\(384\) −0.466786 + 4.68332i −0.0238206 + 0.238995i
\(385\) −0.767946 + 4.35524i −0.0391381 + 0.221963i
\(386\) 5.02291 13.8003i 0.255659 0.702418i
\(387\) −0.346102 + 14.3281i −0.0175934 + 0.728338i
\(388\) −11.0629 6.38716i −0.561633 0.324259i
\(389\) 15.4791 + 18.4473i 0.784821 + 0.935314i 0.999141 0.0414499i \(-0.0131977\pi\)
−0.214319 + 0.976764i \(0.568753\pi\)
\(390\) 8.00197 3.61439i 0.405195 0.183022i
\(391\) −4.27932 + 7.41199i −0.216414 + 0.374841i
\(392\) −0.552098 0.956262i −0.0278852 0.0482985i
\(393\) 15.1381 21.0733i 0.763618 1.06301i
\(394\) 30.9424 + 5.45599i 1.55886 + 0.274869i
\(395\) 1.24055 + 7.03551i 0.0624189 + 0.353995i
\(396\) 4.98389 24.7536i 0.250450 1.24391i
\(397\) 9.61123 + 8.06478i 0.482374 + 0.404760i 0.851284 0.524705i \(-0.175825\pi\)
−0.368910 + 0.929465i \(0.620269\pi\)
\(398\) 12.3888 0.620993
\(399\) −3.96220 + 14.0963i −0.198358 + 0.705699i
\(400\) −20.5349 −1.02674
\(401\) 16.8863 + 14.1693i 0.843264 + 0.707583i 0.958295 0.285779i \(-0.0922524\pi\)
−0.115031 + 0.993362i \(0.536697\pi\)
\(402\) −0.105392 1.39901i −0.00525647 0.0697764i
\(403\) −1.38123 7.83334i −0.0688040 0.390207i
\(404\) 19.5642 + 3.44970i 0.973355 + 0.171629i
\(405\) 4.41602 0.560421i 0.219434 0.0278475i
\(406\) −2.15973 3.74077i −0.107186 0.185651i
\(407\) −7.56327 + 13.1000i −0.374898 + 0.649342i
\(408\) −0.611275 1.35331i −0.0302626 0.0669989i
\(409\) 8.66466 + 10.3261i 0.428440 + 0.510595i 0.936472 0.350743i \(-0.114071\pi\)
−0.508031 + 0.861338i \(0.669627\pi\)
\(410\) 8.38444 + 4.84076i 0.414078 + 0.239068i
\(411\) −3.09496 + 0.789362i −0.152663 + 0.0389364i
\(412\) 1.48941 4.09212i 0.0733779 0.201604i
\(413\) −0.0757285 + 0.429477i −0.00372635 + 0.0211332i
\(414\) 18.5974 + 7.28215i 0.914012 + 0.357898i
\(415\) −3.24760 + 1.18203i −0.159418 + 0.0580235i
\(416\) −26.1524 + 31.1672i −1.28222 + 1.52810i
\(417\) −6.78463 1.90603i −0.332245 0.0933389i
\(418\) 19.6573 34.0368i 0.961471 1.66480i
\(419\) 35.6982i 1.74397i −0.489530 0.871986i \(-0.662832\pi\)
0.489530 0.871986i \(-0.337168\pi\)
\(420\) −2.50561 + 1.70973i −0.122261 + 0.0834265i
\(421\) 0.543107 + 1.49217i 0.0264694 + 0.0727241i 0.952224 0.305402i \(-0.0987908\pi\)
−0.925754 + 0.378126i \(0.876569\pi\)
\(422\) −21.1545 + 3.73010i −1.02978 + 0.181578i
\(423\) −13.4003 11.8072i −0.651547 0.574087i
\(424\) 3.16703 + 1.15271i 0.153805 + 0.0559803i
\(425\) 10.3554 5.97869i 0.502310 0.290009i
\(426\) −7.55180 + 7.37159i −0.365886 + 0.357154i
\(427\) −16.2906 + 13.6694i −0.788356 + 0.661509i
\(428\) −12.0469 + 10.1086i −0.582311 + 0.488617i
\(429\) −29.9426 + 29.2280i −1.44564 + 1.41114i
\(430\) −4.00255 + 2.31087i −0.193020 + 0.111440i
\(431\) −8.42816 3.06760i −0.405970 0.147761i 0.130960 0.991388i \(-0.458194\pi\)
−0.536930 + 0.843627i \(0.680416\pi\)
\(432\) −18.8345 + 12.1959i −0.906173 + 0.586777i
\(433\) 12.5463 2.21225i 0.602936 0.106314i 0.136156 0.990687i \(-0.456525\pi\)
0.466780 + 0.884374i \(0.345414\pi\)
\(434\) 1.96943 + 5.41098i 0.0945359 + 0.259735i
\(435\) −0.805756 + 0.549817i −0.0386330 + 0.0263617i
\(436\) 8.32724i 0.398802i
\(437\) 11.3641 + 9.53822i 0.543617 + 0.456275i
\(438\) 0.410301 + 0.115268i 0.0196049 + 0.00550770i
\(439\) −3.08365 + 3.67495i −0.147175 + 0.175396i −0.834595 0.550864i \(-0.814298\pi\)
0.687421 + 0.726259i \(0.258743\pi\)
\(440\) −0.730580 + 0.265910i −0.0348291 + 0.0126767i
\(441\) 3.54239 9.04667i 0.168685 0.430794i
\(442\) 4.47525 25.3804i 0.212866 1.20722i
\(443\) 2.89248 7.94702i 0.137426 0.377574i −0.851820 0.523834i \(-0.824501\pi\)
0.989246 + 0.146260i \(0.0467235\pi\)
\(444\) −10.0535 + 2.56413i −0.477120 + 0.121688i
\(445\) −2.42773 1.40165i −0.115085 0.0664445i
\(446\) 29.4774 + 35.1298i 1.39579 + 1.66344i
\(447\) −2.92456 6.47472i −0.138327 0.306244i
\(448\) 6.35169 11.0014i 0.300089 0.519770i
\(449\) −2.29293 3.97148i −0.108210 0.187426i 0.806835 0.590777i \(-0.201179\pi\)
−0.915045 + 0.403351i \(0.867845\pi\)
\(450\) −17.4146 21.8023i −0.820934 1.02777i
\(451\) −45.4363 8.01165i −2.13951 0.377254i
\(452\) −2.82404 16.0159i −0.132832 0.753325i
\(453\) 2.74676 + 36.4615i 0.129054 + 1.71311i
\(454\) 1.26521 + 1.06164i 0.0593794 + 0.0498252i
\(455\) 5.02666 0.235654
\(456\) −2.49442 + 0.635837i −0.116812 + 0.0297758i
\(457\) −8.38932 −0.392436 −0.196218 0.980560i \(-0.562866\pi\)
−0.196218 + 0.980560i \(0.562866\pi\)
\(458\) 9.79468 + 8.21871i 0.457675 + 0.384035i
\(459\) 5.94707 11.6338i 0.277586 0.543020i
\(460\) 0.533710 + 3.02682i 0.0248844 + 0.141126i
\(461\) 24.7397 + 4.36228i 1.15224 + 0.203171i 0.716955 0.697120i \(-0.245535\pi\)
0.435288 + 0.900291i \(0.356647\pi\)
\(462\) 17.6727 24.6015i 0.822208 1.14457i
\(463\) 5.36106 + 9.28562i 0.249149 + 0.431539i 0.963290 0.268463i \(-0.0865157\pi\)
−0.714141 + 0.700002i \(0.753182\pi\)
\(464\) 2.45852 4.25827i 0.114134 0.197685i
\(465\) 1.18510 0.535298i 0.0549579 0.0248238i
\(466\) 33.7747 + 40.2511i 1.56458 + 1.86460i
\(467\) −2.86340 1.65318i −0.132502 0.0765002i 0.432284 0.901738i \(-0.357708\pi\)
−0.564786 + 0.825237i \(0.691041\pi\)
\(468\) −28.6919 0.693068i −1.32629 0.0320371i
\(469\) 0.274706 0.754748i 0.0126847 0.0348510i
\(470\) 1.00010 5.67185i 0.0461311 0.261623i
\(471\) 1.06397 10.6749i 0.0490252 0.491875i
\(472\) −0.0720438 + 0.0262218i −0.00331608 + 0.00120696i
\(473\) 14.1574 16.8721i 0.650956 0.775780i
\(474\) 13.2346 47.1092i 0.607884 2.16380i
\(475\) −7.08681 19.4791i −0.325165 0.893761i
\(476\) 8.90342i 0.408088i
\(477\) 9.46644 + 28.1026i 0.433439 + 1.28673i
\(478\) 15.1823 + 41.7131i 0.694423 + 1.90791i
\(479\) 5.99987 1.05794i 0.274141 0.0483385i −0.0348874 0.999391i \(-0.511107\pi\)
0.309028 + 0.951053i \(0.399996\pi\)
\(480\) −5.99395 2.88364i −0.273585 0.131620i
\(481\) 16.1564 + 5.88046i 0.736669 + 0.268126i
\(482\) −42.0477 + 24.2763i −1.91522 + 1.10575i
\(483\) 7.98676 + 8.18202i 0.363410 + 0.372295i
\(484\) −14.3409 + 12.0334i −0.651859 + 0.546974i
\(485\) −2.65110 + 2.22453i −0.120380 + 0.101011i
\(486\) −28.9212 9.65410i −1.31189 0.437919i
\(487\) 1.88147 1.08627i 0.0852575 0.0492234i −0.456765 0.889587i \(-0.650992\pi\)
0.542023 + 0.840364i \(0.317659\pi\)
\(488\) −3.51310 1.27866i −0.159030 0.0578823i
\(489\) 1.28115 2.66301i 0.0579357 0.120425i
\(490\) 3.08537 0.544035i 0.139383 0.0245770i
\(491\) −11.0836 30.4521i −0.500198 1.37428i −0.891082 0.453842i \(-0.850053\pi\)
0.390884 0.920440i \(-0.372169\pi\)
\(492\) −17.8369 26.1400i −0.804151 1.17848i
\(493\) 2.86317i 0.128951i
\(494\) −41.9794 15.2857i −1.88874 0.687736i
\(495\) −5.83990 3.56242i −0.262484 0.160119i
\(496\) −4.21338 + 5.02131i −0.189186 + 0.225463i
\(497\) −5.67722 + 2.06634i −0.254658 + 0.0926879i
\(498\) 23.5552 + 2.34774i 1.05553 + 0.105205i
\(499\) 2.81643 15.9728i 0.126081 0.715039i −0.854579 0.519321i \(-0.826185\pi\)
0.980660 0.195719i \(-0.0627039\pi\)
\(500\) 3.01285 8.27775i 0.134739 0.370192i
\(501\) 2.27482 + 8.91918i 0.101631 + 0.398480i
\(502\) 27.3202 + 15.7733i 1.21936 + 0.703998i
\(503\) −10.3825 12.3734i −0.462933 0.551702i 0.483188 0.875517i \(-0.339479\pi\)
−0.946120 + 0.323815i \(0.895034\pi\)
\(504\) −1.96144 + 0.297209i −0.0873695 + 0.0132388i
\(505\) 2.69100 4.66096i 0.119748 0.207410i
\(506\) −15.3461 26.5802i −0.682218 1.18164i
\(507\) 20.3394 + 14.6110i 0.903304 + 0.648896i
\(508\) 15.3406 + 2.70495i 0.680627 + 0.120013i
\(509\) −4.96536 28.1600i −0.220086 1.24817i −0.871860 0.489756i \(-0.837086\pi\)
0.651774 0.758413i \(-0.274025\pi\)
\(510\) 4.20142 0.316506i 0.186042 0.0140151i
\(511\) 0.186904 + 0.156831i 0.00826813 + 0.00693778i
\(512\) 30.5835 1.35161
\(513\) −18.0688 13.6571i −0.797759 0.602977i
\(514\) −27.9507 −1.23285
\(515\) −0.903754 0.758339i −0.0398241 0.0334164i
\(516\) 15.0643 1.13484i 0.663170 0.0499587i
\(517\) 4.76598 + 27.0292i 0.209607 + 1.18874i
\(518\) −12.2576 2.16134i −0.538567 0.0949639i
\(519\) 16.2203 + 11.6520i 0.711991 + 0.511464i
\(520\) 0.441847 + 0.765301i 0.0193763 + 0.0335607i
\(521\) 0.554173 0.959856i 0.0242788 0.0420521i −0.853631 0.520879i \(-0.825604\pi\)
0.877910 + 0.478827i \(0.158938\pi\)
\(522\) 6.60604 1.00099i 0.289138 0.0438120i
\(523\) 8.07045 + 9.61798i 0.352896 + 0.420565i 0.913065 0.407813i \(-0.133708\pi\)
−0.560170 + 0.828378i \(0.689264\pi\)
\(524\) −23.6854 13.6748i −1.03470 0.597386i
\(525\) −3.94786 15.4789i −0.172299 0.675555i
\(526\) 8.60274 23.6358i 0.375097 1.03057i
\(527\) 0.662792 3.75888i 0.0288717 0.163739i
\(528\) 34.3118 + 3.41986i 1.49323 + 0.148830i
\(529\) −10.7264 + 3.90408i −0.466363 + 0.169742i
\(530\) −6.14673 + 7.32539i −0.266997 + 0.318195i
\(531\) −0.575883 0.351296i −0.0249912 0.0152449i
\(532\) 15.1993 + 2.68217i 0.658972 + 0.116287i
\(533\) 52.4411i 2.27147i
\(534\) 10.8226 + 15.8605i 0.468338 + 0.686349i
\(535\) 1.45716 + 4.00352i 0.0629987 + 0.173087i
\(536\) 0.139056 0.0245193i 0.00600630 0.00105907i
\(537\) 13.3342 27.7164i 0.575411 1.19605i
\(538\) −51.9219 18.8980i −2.23851 0.814752i
\(539\) −12.9299 + 7.46509i −0.556931 + 0.321544i
\(540\) −1.04945 4.57320i −0.0451613 0.196799i
\(541\) 19.4785 16.3444i 0.837448 0.702702i −0.119540 0.992829i \(-0.538142\pi\)
0.956988 + 0.290127i \(0.0936975\pi\)
\(542\) −0.0524004 + 0.0439692i −0.00225079 + 0.00188864i
\(543\) 14.1324 + 14.4779i 0.606478 + 0.621305i
\(544\) −16.9077 + 9.76167i −0.724912 + 0.418528i
\(545\) −2.11992 0.771589i −0.0908076 0.0330513i
\(546\) −31.0262 14.9265i −1.32780 0.638793i
\(547\) 32.5162 5.73349i 1.39029 0.245146i 0.572144 0.820153i \(-0.306112\pi\)
0.818149 + 0.575007i \(0.195001\pi\)
\(548\) 1.15148 + 3.16366i 0.0491886 + 0.135145i
\(549\) −10.5008 31.1734i −0.448165 1.33045i
\(550\) 42.8805i 1.82843i
\(551\) 4.88779 + 0.862533i 0.208227 + 0.0367451i
\(552\) −0.543657 + 1.93518i −0.0231396 + 0.0823665i
\(553\) 18.0067 21.4596i 0.765723 0.912553i
\(554\) 22.8864 8.32996i 0.972349 0.353906i
\(555\) −0.278776 + 2.79699i −0.0118334 + 0.118726i
\(556\) −1.28990 + 7.31538i −0.0547039 + 0.310241i
\(557\) 12.2432 33.6380i 0.518762 1.42529i −0.353123 0.935577i \(-0.614880\pi\)
0.871885 0.489710i \(-0.162897\pi\)
\(558\) −8.90438 0.215090i −0.376953 0.00910547i
\(559\) −21.6803 12.5171i −0.916979 0.529418i
\(560\) −2.66265 3.17323i −0.112518 0.134093i
\(561\) −18.2985 + 8.26524i −0.772565 + 0.348959i
\(562\) −29.4250 + 50.9656i −1.24122 + 2.14986i
\(563\) −11.0660 19.1668i −0.466375 0.807785i 0.532887 0.846186i \(-0.321107\pi\)
−0.999262 + 0.0384008i \(0.987774\pi\)
\(564\) −10.9833 + 15.2894i −0.462479 + 0.643800i
\(565\) −4.33896 0.765075i −0.182541 0.0321870i
\(566\) 9.31609 + 52.8342i 0.391585 + 2.22079i
\(567\) −12.8141 11.8525i −0.538141 0.497757i
\(568\) −0.813628 0.682715i −0.0341391 0.0286461i
\(569\) −3.68640 −0.154542 −0.0772710 0.997010i \(-0.524621\pi\)
−0.0772710 + 0.997010i \(0.524621\pi\)
\(570\) 0.725368 7.26771i 0.0303823 0.304411i
\(571\) −7.83713 −0.327974 −0.163987 0.986463i \(-0.552435\pi\)
−0.163987 + 0.986463i \(0.552435\pi\)
\(572\) 33.7863 + 28.3501i 1.41268 + 1.18538i
\(573\) 0.371923 + 4.93705i 0.0155373 + 0.206248i
\(574\) −6.59228 37.3867i −0.275157 1.56049i
\(575\) −15.9400 2.81065i −0.664744 0.117212i
\(576\) 12.2635 + 15.3533i 0.510980 + 0.639721i
\(577\) 7.58405 + 13.1360i 0.315728 + 0.546857i 0.979592 0.200996i \(-0.0644179\pi\)
−0.663864 + 0.747853i \(0.731085\pi\)
\(578\) −10.4420 + 18.0861i −0.434331 + 0.752284i
\(579\) 5.35342 + 11.8520i 0.222481 + 0.492554i
\(580\) 0.660914 + 0.787647i 0.0274430 + 0.0327053i
\(581\) 11.7363 + 6.77593i 0.486902 + 0.281113i
\(582\) 22.9691 5.85821i 0.952098 0.242831i
\(583\) 15.5861 42.8224i 0.645510 1.77352i
\(584\) −0.00744828 + 0.0422413i −0.000308212 + 0.00174796i
\(585\) −2.83499 + 7.24010i −0.117213 + 0.299341i
\(586\) 16.3274 5.94268i 0.674478 0.245490i
\(587\) 4.23083 5.04211i 0.174625 0.208110i −0.671632 0.740885i \(-0.734406\pi\)
0.846257 + 0.532775i \(0.178851\pi\)
\(588\) −9.85901 2.76973i −0.406579 0.114222i
\(589\) −6.21722 2.26384i −0.256176 0.0932798i
\(590\) 0.217531i 0.00895560i
\(591\) −22.9826 + 15.6824i −0.945377 + 0.645089i
\(592\) −4.84594 13.3141i −0.199167 0.547207i
\(593\) 5.69179 1.00362i 0.233734 0.0412136i −0.0555543 0.998456i \(-0.517693\pi\)
0.289288 + 0.957242i \(0.406581\pi\)
\(594\) 25.4673 + 39.3297i 1.04494 + 1.61372i
\(595\) 2.26661 + 0.824978i 0.0929219 + 0.0338208i
\(596\) −6.48535 + 3.74432i −0.265650 + 0.153373i
\(597\) −7.85057 + 7.66322i −0.321302 + 0.313635i
\(598\) −26.7240 + 22.4241i −1.09283 + 0.916990i
\(599\) −27.7457 + 23.2814i −1.13366 + 0.951254i −0.999213 0.0396667i \(-0.987370\pi\)
−0.134447 + 0.990921i \(0.542926\pi\)
\(600\) 2.00962 1.96166i 0.0820423 0.0800845i
\(601\) 6.07461 3.50718i 0.247789 0.143061i −0.370963 0.928648i \(-0.620972\pi\)
0.618751 + 0.785587i \(0.287639\pi\)
\(602\) 17.0300 + 6.19841i 0.694091 + 0.252628i
\(603\) 0.932161 + 0.821340i 0.0379605 + 0.0334476i
\(604\) 37.9558 6.69264i 1.54440 0.272319i
\(605\) 1.73463 + 4.76587i 0.0705229 + 0.193760i
\(606\) −30.4502 + 20.7781i −1.23696 + 0.844052i
\(607\) 14.2728i 0.579314i −0.957130 0.289657i \(-0.906459\pi\)
0.957130 0.289657i \(-0.0935413\pi\)
\(608\) 11.5710 + 31.8043i 0.469264 + 1.28984i
\(609\) 3.68248 + 1.03454i 0.149222 + 0.0419215i
\(610\) 6.81839 8.12584i 0.276068 0.329006i
\(611\) 29.3148 10.6697i 1.18595 0.431650i
\(612\) −12.8239 5.02145i −0.518377 0.202980i
\(613\) 3.36609 19.0901i 0.135955 0.771040i −0.838235 0.545310i \(-0.816412\pi\)
0.974190 0.225730i \(-0.0724768\pi\)
\(614\) 15.3390 42.1435i 0.619031 1.70077i
\(615\) −8.30739 + 2.11878i −0.334986 + 0.0854376i
\(616\) 2.64019 + 1.52431i 0.106376 + 0.0614164i
\(617\) 2.77009 + 3.30127i 0.111520 + 0.132904i 0.818917 0.573913i \(-0.194575\pi\)
−0.707397 + 0.706817i \(0.750131\pi\)
\(618\) 3.32640 + 7.36437i 0.133807 + 0.296238i
\(619\) 4.18376 7.24648i 0.168159 0.291261i −0.769613 0.638510i \(-0.779551\pi\)
0.937773 + 0.347250i \(0.112884\pi\)
\(620\) −0.685343 1.18705i −0.0275240 0.0476730i
\(621\) −16.2893 + 6.88906i −0.653669 + 0.276448i
\(622\) 28.0217 + 4.94098i 1.12357 + 0.198115i
\(623\) 1.90881 + 10.8254i 0.0764747 + 0.433710i
\(624\) −2.94419 39.0824i −0.117862 1.56455i
\(625\) 16.3859 + 13.7494i 0.655438 + 0.549978i
\(626\) −34.2990 −1.37086
\(627\) 8.59735 + 33.7279i 0.343345 + 1.34696i
\(628\) −11.3077 −0.451228
\(629\) 6.32010 + 5.30320i 0.251999 + 0.211452i
\(630\) 1.11100 5.51805i 0.0442635 0.219844i
\(631\) 4.18478 + 23.7331i 0.166593 + 0.944799i 0.947406 + 0.320034i \(0.103694\pi\)
−0.780813 + 0.624765i \(0.785195\pi\)
\(632\) 4.84998 + 0.855183i 0.192922 + 0.0340173i
\(633\) 11.0979 15.4490i 0.441104 0.614044i
\(634\) −17.2715 29.9151i −0.685938 1.18808i
\(635\) 2.11005 3.65472i 0.0837349 0.145033i
\(636\) 28.4860 12.8668i 1.12955 0.510202i
\(637\) 10.9082 + 12.9999i 0.432198 + 0.515073i
\(638\) −8.89204 5.13382i −0.352039 0.203250i
\(639\) 0.225673 9.34251i 0.00892748 0.369584i
\(640\) 0.459674 1.26294i 0.0181702 0.0499222i
\(641\) −0.129228 + 0.732886i −0.00510418 + 0.0289473i −0.987253 0.159156i \(-0.949123\pi\)
0.982149 + 0.188103i \(0.0602339\pi\)
\(642\) 2.89422 29.0380i 0.114226 1.14604i
\(643\) −36.8973 + 13.4295i −1.45509 + 0.529608i −0.944007 0.329926i \(-0.892976\pi\)
−0.511079 + 0.859534i \(0.670754\pi\)
\(644\) 7.74685 9.23234i 0.305269 0.363805i
\(645\) 1.10693 3.94019i 0.0435855 0.155145i
\(646\) −16.4205 13.7823i −0.646057 0.542256i
\(647\) 10.0379i 0.394633i −0.980340 0.197316i \(-0.936777\pi\)
0.980340 0.197316i \(-0.0632226\pi\)
\(648\) 0.678153 2.99276i 0.0266403 0.117567i
\(649\) 0.354553 + 0.974127i 0.0139174 + 0.0382378i
\(650\) 47.9988 8.46349i 1.88267 0.331965i
\(651\) −4.59502 2.21063i −0.180093 0.0866415i
\(652\) −2.92705 1.06536i −0.114632 0.0417227i
\(653\) −24.0034 + 13.8584i −0.939327 + 0.542321i −0.889749 0.456449i \(-0.849121\pi\)
−0.0495780 + 0.998770i \(0.515788\pi\)
\(654\) 10.7936 + 11.0575i 0.422065 + 0.432383i
\(655\) −5.67595 + 4.76268i −0.221778 + 0.186093i
\(656\) 33.1049 27.7783i 1.29253 1.08456i
\(657\) −0.331301 + 0.180753i −0.0129253 + 0.00705186i
\(658\) −19.5581 + 11.2919i −0.762453 + 0.440202i
\(659\) 37.9399 + 13.8090i 1.47793 + 0.537922i 0.950241 0.311516i \(-0.100837\pi\)
0.527688 + 0.849438i \(0.323059\pi\)
\(660\) −3.12597 + 6.49765i −0.121678 + 0.252921i
\(661\) −28.3986 + 5.00744i −1.10458 + 0.194767i −0.696060 0.717984i \(-0.745065\pi\)
−0.408517 + 0.912751i \(0.633954\pi\)
\(662\) −2.85607 7.84698i −0.111004 0.304981i
\(663\) 12.8635 + 18.8514i 0.499575 + 0.732127i
\(664\) 2.38243i 0.0924564i
\(665\) 2.09116 3.62087i 0.0810918 0.140411i
\(666\) 10.0262 16.4361i 0.388509 0.636886i
\(667\) 2.49124 2.96894i 0.0964611 0.114958i
\(668\) 9.11716 3.31838i 0.352754 0.128392i
\(669\) −40.4093 4.02759i −1.56231 0.155716i
\(670\) −0.0695694 + 0.394548i −0.00268770 + 0.0152427i
\(671\) −17.2892 + 47.5017i −0.667442 + 1.83378i
\(672\) 6.44586 + 25.2731i 0.248654 + 0.974932i
\(673\) −16.2655 9.39089i −0.626989 0.361992i 0.152596 0.988289i \(-0.451237\pi\)
−0.779585 + 0.626296i \(0.784570\pi\)
\(674\) −25.6490 30.5673i −0.987962 1.17741i
\(675\) 24.5214 + 3.04370i 0.943830 + 0.117152i
\(676\) 13.1986 22.8606i 0.507638 0.879254i
\(677\) −5.21572 9.03390i −0.200457 0.347201i 0.748219 0.663452i \(-0.230909\pi\)
−0.948676 + 0.316251i \(0.897576\pi\)
\(678\) 24.5096 + 17.6066i 0.941284 + 0.676179i
\(679\) 13.3643 + 2.35648i 0.512874 + 0.0904335i
\(680\) 0.0736348 + 0.417603i 0.00282376 + 0.0160144i
\(681\) −1.45844 + 0.109868i −0.0558874 + 0.00421017i
\(682\) 10.4854 + 8.79829i 0.401506 + 0.336904i
\(683\) 27.0630 1.03554 0.517769 0.855520i \(-0.326763\pi\)
0.517769 + 0.855520i \(0.326763\pi\)
\(684\) −12.4355 + 20.3794i −0.475483 + 0.779226i
\(685\) 0.912089 0.0348491
\(686\) −29.7526 24.9654i −1.13596 0.953184i
\(687\) −11.2905 + 0.850550i −0.430760 + 0.0324505i
\(688\) 3.58238 + 20.3167i 0.136577 + 0.774567i
\(689\) −51.0101 8.99446i −1.94333 0.342662i
\(690\) −4.63202 3.32745i −0.176338 0.126674i
\(691\) −0.487247 0.843937i −0.0185358 0.0321049i 0.856609 0.515967i \(-0.172567\pi\)
−0.875145 + 0.483862i \(0.839234\pi\)
\(692\) 10.5256 18.2309i 0.400123 0.693034i
\(693\) 4.01866 + 26.5212i 0.152656 + 1.00746i
\(694\) −33.3834 39.7848i −1.26722 1.51021i
\(695\) 1.74281 + 1.00621i 0.0661085 + 0.0381678i
\(696\) 0.166186 + 0.651588i 0.00629927 + 0.0246984i
\(697\) −8.60665 + 23.6466i −0.326000 + 0.895678i
\(698\) 0.933174 5.29229i 0.0353212 0.200316i
\(699\) −46.3003 4.61475i −1.75124 0.174546i
\(700\) −15.8225 + 5.75892i −0.598034 + 0.217667i
\(701\) −9.90651 + 11.8061i −0.374164 + 0.445911i −0.919963 0.392005i \(-0.871782\pi\)
0.545799 + 0.837916i \(0.316226\pi\)
\(702\) 38.9976 36.2698i 1.47187 1.36891i
\(703\) 10.9572 9.19163i 0.413258 0.346669i
\(704\) 30.1967i 1.13808i
\(705\) 2.87464 + 4.21278i 0.108265 + 0.158663i
\(706\) −16.2833 44.7380i −0.612830 1.68374i
\(707\) −20.7835 + 3.66469i −0.781643 + 0.137825i
\(708\) −0.308258 + 0.640745i −0.0115850 + 0.0240807i
\(709\) −30.4578 11.0857i −1.14387 0.416333i −0.300558 0.953763i \(-0.597173\pi\)
−0.843308 + 0.537430i \(0.819395\pi\)
\(710\) 2.60983 1.50679i 0.0979452 0.0565487i
\(711\) 20.7534 + 38.0388i 0.778314 + 1.42656i
\(712\) −1.48036 + 1.24217i −0.0554789 + 0.0465523i
\(713\) −3.95787 + 3.32105i −0.148223 + 0.124374i
\(714\) −11.5405 11.8226i −0.431892 0.442451i
\(715\) 10.3479 5.97435i 0.386989 0.223428i
\(716\) −30.4646 11.0882i −1.13851 0.414385i
\(717\) −35.4229 17.0417i −1.32289 0.636434i
\(718\) −58.7202 + 10.3540i −2.19142 + 0.386406i
\(719\) 10.4822 + 28.7995i 0.390919 + 1.07404i 0.966583 + 0.256354i \(0.0825212\pi\)
−0.575664 + 0.817686i \(0.695257\pi\)
\(720\) 6.07223 2.04545i 0.226299 0.0762294i
\(721\) 4.62614i 0.172286i
\(722\) −28.4748 + 23.8800i −1.05972 + 0.888723i
\(723\) 11.6286 41.3926i 0.432472 1.53941i
\(724\) 13.7079 16.3364i 0.509448 0.607137i
\(725\) −5.08821 + 1.85196i −0.188971 + 0.0687799i
\(726\) 3.44533 34.5674i 0.127868 1.28291i
\(727\) −7.08739 + 40.1946i −0.262857 + 1.49073i 0.512213 + 0.858859i \(0.328826\pi\)
−0.775069 + 0.631876i \(0.782285\pi\)
\(728\) 1.18516 3.25619i 0.0439248 0.120682i
\(729\) 24.2986 11.7719i 0.899948 0.435998i
\(730\) −0.105397 0.0608507i −0.00390090 0.00225219i
\(731\) −7.72170 9.20236i −0.285597 0.340362i
\(732\) −31.5987 + 14.2728i −1.16792 + 0.527537i
\(733\) 16.4021 28.4094i 0.605827 1.04932i −0.386093 0.922460i \(-0.626176\pi\)
0.991920 0.126864i \(-0.0404910\pi\)
\(734\) 11.4808 + 19.8854i 0.423765 + 0.733982i
\(735\) −1.61863 + 2.25324i −0.0597042 + 0.0831120i
\(736\) 26.0259 + 4.58908i 0.959329 + 0.169156i
\(737\) −0.331533 1.88022i −0.0122122 0.0692587i
\(738\) 57.5675 + 11.5906i 2.11909 + 0.426657i
\(739\) 6.98259 + 5.85908i 0.256859 + 0.215530i 0.762119 0.647437i \(-0.224159\pi\)
−0.505260 + 0.862967i \(0.668604\pi\)
\(740\) 2.96279 0.108914
\(741\) 36.0568 16.2806i 1.32458 0.598081i
\(742\) 37.4972 1.37657
\(743\) −11.0957 9.31040i −0.407062 0.341565i 0.416154 0.909294i \(-0.363378\pi\)
−0.823216 + 0.567729i \(0.807822\pi\)
\(744\) −0.0673403 0.893901i −0.00246882 0.0327720i
\(745\) 0.352295 + 1.99796i 0.0129071 + 0.0731997i
\(746\) 46.8896 + 8.26790i 1.71675 + 0.302709i
\(747\) −16.3788 + 13.0826i −0.599268 + 0.478668i
\(748\) 10.5820 + 18.3286i 0.386916 + 0.670159i
\(749\) 8.35312 14.4680i 0.305216 0.528650i
\(750\) 6.72881 + 14.8970i 0.245701 + 0.543962i
\(751\) −29.2589 34.8694i −1.06767 1.27240i −0.960535 0.278160i \(-0.910275\pi\)
−0.107139 0.994244i \(-0.534169\pi\)
\(752\) −22.2638 12.8540i −0.811877 0.468737i
\(753\) −27.0692 + 6.90393i −0.986455 + 0.251593i
\(754\) −3.99155 + 10.9667i −0.145364 + 0.399384i
\(755\) 1.81314 10.2828i 0.0659869 0.374230i
\(756\) −11.0920 + 14.6792i −0.403412 + 0.533878i
\(757\) 35.3771 12.8762i 1.28580 0.467994i 0.393455 0.919344i \(-0.371280\pi\)
0.892347 + 0.451350i \(0.149057\pi\)
\(758\) −6.46749 + 7.70765i −0.234910 + 0.279954i
\(759\) 26.1661 + 7.35096i 0.949770 + 0.266823i
\(760\) 0.735085 9.96935e-5i 0.0266643 3.61626e-6i
\(761\) 10.5310i 0.381748i 0.981615 + 0.190874i \(0.0611322\pi\)
−0.981615 + 0.190874i \(0.938868\pi\)
\(762\) −23.8764 + 16.2924i −0.864952 + 0.590210i
\(763\) 3.02558 + 8.31271i 0.109533 + 0.300940i
\(764\) 5.13939 0.906213i 0.185937 0.0327857i <