Properties

Label 57.2.j.b.32.1
Level 57
Weight 2
Character 57.32
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 32.1
Character \(\chi\) = 57.32
Dual form 57.2.j.b.41.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.49833 + 1.25725i) q^{2} +(1.40671 + 1.01052i) q^{3} +(0.317026 - 1.79794i) q^{4} +(-0.487091 + 0.0858872i) q^{5} +(-3.37821 + 0.254491i) q^{6} +(-0.969730 + 1.67962i) q^{7} +(-0.170480 - 0.295279i) q^{8} +(0.957685 + 2.84303i) q^{9} +O(q^{10})\) \(q+(-1.49833 + 1.25725i) q^{2} +(1.40671 + 1.01052i) q^{3} +(0.317026 - 1.79794i) q^{4} +(-0.487091 + 0.0858872i) q^{5} +(-3.37821 + 0.254491i) q^{6} +(-0.969730 + 1.67962i) q^{7} +(-0.170480 - 0.295279i) q^{8} +(0.957685 + 2.84303i) q^{9} +(0.621842 - 0.741083i) q^{10} +(3.99257 - 2.30511i) q^{11} +(2.26283 - 2.20883i) q^{12} +(-1.79223 - 4.92410i) q^{13} +(-0.658727 - 3.73582i) q^{14} +(-0.771988 - 0.371398i) 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} +(-3.06143 + 1.38281i) q^{21} +(-3.08409 + 8.47347i) q^{22} +(-3.35200 - 0.591048i) q^{23} +(0.0585708 - 0.587647i) q^{24} +(-4.46858 + 1.62643i) q^{25} +(8.87617 + 5.12466i) q^{26} +(-1.52576 + 4.96710i) q^{27} +(2.71243 + 2.27600i) q^{28} +(-0.872266 - 0.731918i) q^{29} +(1.62363 - 0.414105i) q^{30} +(-1.31458 - 0.758971i) q^{31} +(-7.29606 + 2.65555i) q^{32} +(7.94576 + 0.791954i) q^{33} +(-4.84348 - 0.854036i) q^{34} +(0.328088 - 0.901415i) q^{35} +(5.41522 - 0.820548i) 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} +(2.84850 - 5.92089i) q^{42} +(-0.829591 - 4.70484i) q^{43} +(-2.87871 - 7.90919i) q^{44} +(-0.710660 - 1.30256i) q^{45} +(5.76551 - 3.32872i) q^{46} +(3.82673 - 4.56052i) q^{47} +(4.21573 + 6.17815i) q^{48} +(1.61925 + 2.80462i) q^{49} +(4.65059 - 8.05506i) q^{50} +(0.327167 + 4.34294i) q^{51} +(-9.42143 + 1.66125i) q^{52} +(-1.71646 + 9.73455i) q^{53} +(-3.95878 - 9.36063i) q^{54} +(-1.74676 + 1.46571i) q^{55} +0.661277 q^{56} +(7.31539 - 1.86683i) q^{57} +2.22715 q^{58} +(0.172251 - 0.144536i) q^{59} +(-0.912492 + 1.27025i) q^{60} +(-1.90402 + 10.7982i) q^{61} +(2.92389 - 0.515560i) q^{62} +(-5.70391 - 1.14843i) q^{63} +(3.27498 - 5.67243i) q^{64} +(1.29589 + 2.24455i) q^{65} +(-12.9011 + 8.80320i) q^{66} +(0.266197 - 0.317241i) q^{67} +(3.97564 - 2.29534i) q^{68} +(-4.11804 - 4.21871i) q^{69} +(0.641719 + 1.76311i) q^{70} +(-0.540928 - 3.06775i) q^{71} +(0.676224 - 0.767464i) 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} +(7.30764 + 16.1785i) q^{78} +(4.94012 - 13.5729i) q^{79} +(-2.10338 - 0.370883i) q^{80} +(-7.16568 + 5.44546i) q^{81} +(18.3938 - 6.69478i) q^{82} +(6.05130 + 3.49372i) q^{83} +(1.51566 + 5.94266i) q^{84} +(-0.952717 - 0.799425i) q^{85} +(7.15817 + 6.00642i) q^{86} +(-0.487408 - 1.91104i) q^{87} +(-1.36130 - 0.785948i) q^{88} +(5.32595 - 1.93849i) q^{89} +(2.70245 + 1.05819i) q^{90} +(10.0086 + 1.76478i) q^{91} +(-2.12534 + 5.83933i) q^{92} +(-1.08227 - 2.39606i) 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} +(10.3771 + 9.14343i) 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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{18}\right)\)

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 \(-0.965284\pi\)
−0.0654227 + 0.997858i \(0.520840\pi\)
\(3\) 1.40671 + 1.01052i 0.812166 + 0.583426i
\(4\) 0.317026 1.79794i 0.158513 0.898972i
\(5\) −0.487091 + 0.0858872i −0.217834 + 0.0384099i −0.281500 0.959561i \(-0.590832\pi\)
0.0636661 + 0.997971i \(0.479721\pi\)
\(6\) −3.37821 + 0.254491i −1.37915 + 0.103895i
\(7\) −0.969730 + 1.67962i −0.366523 + 0.634837i −0.989019 0.147786i \(-0.952785\pi\)
0.622496 + 0.782623i \(0.286119\pi\)
\(8\) −0.170480 0.295279i −0.0602737 0.104397i
\(9\) 0.957685 + 2.84303i 0.319228 + 0.947678i
\(10\) 0.621842 0.741083i 0.196644 0.234351i
\(11\) 3.99257 2.30511i 1.20380 0.695016i 0.242405 0.970175i \(-0.422064\pi\)
0.961399 + 0.275159i \(0.0887304\pi\)
\(12\) 2.26283 2.20883i 0.653222 0.637634i
\(13\) −1.79223 4.92410i −0.497074 1.36570i −0.894090 0.447887i \(-0.852177\pi\)
0.397016 0.917812i \(-0.370046\pi\)
\(14\) −0.658727 3.73582i −0.176052 0.998441i
\(15\) −0.771988 0.371398i −0.199326 0.0958945i
\(16\) 4.05783 + 1.47693i 1.01446 + 0.369232i
\(17\) 1.61629 + 1.92622i 0.392008 + 0.467177i 0.925566 0.378587i \(-0.123590\pi\)
−0.533558 + 0.845764i \(0.679145\pi\)
\(18\) −5.00934 3.05576i −1.18071 0.720250i
\(19\) 2.80139 3.33949i 0.642684 0.766132i
\(20\) 0.902990i 0.201915i
\(21\) −3.06143 + 1.38281i −0.668058 + 0.301754i
\(22\) −3.08409 + 8.47347i −0.657531 + 1.80655i
\(23\) −3.35200 0.591048i −0.698940 0.123242i −0.187123 0.982336i \(-0.559916\pi\)
−0.511817 + 0.859094i \(0.671027\pi\)
\(24\) 0.0585708 0.587647i 0.0119557 0.119953i
\(25\) −4.46858 + 1.62643i −0.893716 + 0.325286i
\(26\) 8.87617 + 5.12466i 1.74076 + 1.00503i
\(27\) −1.52576 + 4.96710i −0.293633 + 0.955918i
\(28\) 2.71243 + 2.27600i 0.512602 + 0.430124i
\(29\) −0.872266 0.731918i −0.161976 0.135914i 0.558197 0.829708i \(-0.311493\pi\)
−0.720173 + 0.693794i \(0.755938\pi\)
\(30\) 1.62363 0.414105i 0.296434 0.0756048i
\(31\) −1.31458 0.758971i −0.236105 0.136315i 0.377280 0.926099i \(-0.376859\pi\)
−0.613385 + 0.789784i \(0.710193\pi\)
\(32\) −7.29606 + 2.65555i −1.28977 + 0.469439i
\(33\) 7.94576 + 0.791954i 1.38318 + 0.137861i
\(34\) −4.84348 0.854036i −0.830650 0.146466i
\(35\) 0.328088 0.901415i 0.0554570 0.152367i
\(36\) 5.41522 0.820548i 0.902537 0.136758i
\(37\) 3.28109i 0.539408i 0.962943 + 0.269704i \(0.0869259\pi\)
−0.962943 + 0.269704i \(0.913074\pi\)
\(38\) 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 \(-0.674415\pi\)
−0.947739 + 0.319046i \(0.896638\pi\)
\(42\) 2.84850 5.92089i 0.439533 0.913613i
\(43\) −0.829591 4.70484i −0.126511 0.717482i −0.980399 0.197024i \(-0.936872\pi\)
0.853887 0.520458i \(-0.174239\pi\)
\(44\) −2.87871 7.90919i −0.433982 1.19235i
\(45\) −0.710660 1.30256i −0.105939 0.194174i
\(46\) 5.76551 3.32872i 0.850078 0.490793i
\(47\) 3.82673 4.56052i 0.558186 0.665220i −0.410976 0.911646i \(-0.634812\pi\)
0.969162 + 0.246426i \(0.0792563\pi\)
\(48\) 4.21573 + 6.17815i 0.608489 + 0.891739i
\(49\) 1.61925 + 2.80462i 0.231321 + 0.400660i
\(50\) 4.65059 8.05506i 0.657693 1.13916i
\(51\) 0.327167 + 4.34294i 0.0458125 + 0.608133i
\(52\) −9.42143 + 1.66125i −1.30652 + 0.230374i
\(53\) −1.71646 + 9.73455i −0.235774 + 1.33714i 0.605202 + 0.796072i \(0.293092\pi\)
−0.840977 + 0.541071i \(0.818019\pi\)
\(54\) −3.95878 9.36063i −0.538722 1.27382i
\(55\) −1.74676 + 1.46571i −0.235533 + 0.197636i
\(56\) 0.661277 0.0883668
\(57\) 7.31539 1.86683i 0.968947 0.247268i
\(58\) 2.22715 0.292439
\(59\) 0.172251 0.144536i 0.0224252 0.0188170i −0.631506 0.775371i \(-0.717563\pi\)
0.653931 + 0.756554i \(0.273119\pi\)
\(60\) −0.912492 + 1.27025i −0.117802 + 0.163988i
\(61\) −1.90402 + 10.7982i −0.243785 + 1.38257i 0.579513 + 0.814963i \(0.303243\pi\)
−0.823298 + 0.567610i \(0.807868\pi\)
\(62\) 2.92389 0.515560i 0.371334 0.0654762i
\(63\) −5.70391 1.14843i −0.718626 0.144688i
\(64\) 3.27498 5.67243i 0.409372 0.709054i
\(65\) 1.29589 + 2.24455i 0.160736 + 0.278402i
\(66\) −12.9011 + 8.80320i −1.58801 + 1.08360i
\(67\) 0.266197 0.317241i 0.0325211 0.0387572i −0.749539 0.661960i \(-0.769725\pi\)
0.782060 + 0.623203i \(0.214169\pi\)
\(68\) 3.97564 2.29534i 0.482117 0.278350i
\(69\) −4.11804 4.21871i −0.495753 0.507873i
\(70\) 0.641719 + 1.76311i 0.0767001 + 0.210732i
\(71\) −0.540928 3.06775i −0.0641963 0.364075i −0.999935 0.0113819i \(-0.996377\pi\)
0.935739 0.352694i \(-0.114734\pi\)
\(72\) 0.676224 0.767464i 0.0796937 0.0904465i
\(73\) −0.118214 0.0430264i −0.0138359 0.00503586i 0.335093 0.942185i \(-0.391232\pi\)
−0.348929 + 0.937149i \(0.613455\pi\)
\(74\) −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
\(78\) 7.30764 + 16.1785i 0.827427 + 1.83186i
\(79\) 4.94012 13.5729i 0.555807 1.52707i −0.269854 0.962901i \(-0.586975\pi\)
0.825661 0.564167i \(-0.190802\pi\)
\(80\) −2.10338 0.370883i −0.235165 0.0414660i
\(81\) −7.16568 + 5.44546i −0.796187 + 0.605051i
\(82\) 18.3938 6.69478i 2.03125 0.739315i
\(83\) 6.05130 + 3.49372i 0.664217 + 0.383486i 0.793882 0.608072i \(-0.208057\pi\)
−0.129665 + 0.991558i \(0.541390\pi\)
\(84\) 1.51566 + 5.94266i 0.165372 + 0.648397i
\(85\) −0.952717 0.799425i −0.103337 0.0867098i
\(86\) 7.15817 + 6.00642i 0.771885 + 0.647689i
\(87\) −0.487408 1.91104i −0.0522556 0.204885i
\(88\) −1.36130 0.785948i −0.145115 0.0837824i
\(89\) 5.32595 1.93849i 0.564549 0.205479i −0.0439498 0.999034i \(-0.513994\pi\)
0.608499 + 0.793555i \(0.291772\pi\)
\(90\) 2.70245 + 1.05819i 0.284863 + 0.111543i
\(91\) 10.0086 + 1.76478i 1.04919 + 0.185000i
\(92\) −2.12534 + 5.83933i −0.221582 + 0.608792i
\(93\) −1.08227 2.39606i −0.112227 0.248460i
\(94\) 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 0.487754 0.872981i \(-0.337816\pi\)
−0.944416 + 0.328752i \(0.893372\pi\)
\(98\) −5.95229 2.16645i −0.601272 0.218845i
\(99\) 10.3771 + 9.14343i 1.04294 + 0.918949i
\(100\) 1.50757 + 8.54988i 0.150757 + 0.854988i
\(101\) −3.72167 10.2252i −0.370320 1.01745i −0.975238 0.221158i \(-0.929016\pi\)
0.604918 0.796288i \(-0.293206\pi\)
\(102\) −5.95036 6.09583i −0.589174 0.603578i
\(103\) −2.06571 + 1.19264i −0.203540 + 0.117514i −0.598306 0.801268i \(-0.704159\pi\)
0.394766 + 0.918782i \(0.370826\pi\)
\(104\) −1.14845 + 1.36867i −0.112614 + 0.134209i
\(105\) 1.37243 0.936492i 0.133935 0.0913922i
\(106\) −9.66693 16.7436i −0.938935 1.62628i
\(107\) −4.30693 + 7.45983i −0.416367 + 0.721169i −0.995571 0.0940139i \(-0.970030\pi\)
0.579204 + 0.815183i \(0.303364\pi\)
\(108\) 8.44685 + 4.31794i 0.812799 + 0.415494i
\(109\) −4.49188 + 0.792039i −0.430244 + 0.0758636i −0.384576 0.923093i \(-0.625652\pi\)
−0.0456672 + 0.998957i \(0.514541\pi\)
\(110\) 0.774469 4.39223i 0.0738428 0.418783i
\(111\) −3.31562 + 4.61556i −0.314705 + 0.438089i
\(112\) −6.41568 + 5.38339i −0.606225 + 0.508683i
\(113\) 8.90791 0.837985 0.418993 0.907990i \(-0.362383\pi\)
0.418993 + 0.907990i \(0.362383\pi\)
\(114\) −8.61381 + 11.9944i −0.806758 + 1.12338i
\(115\) 1.68349 0.156986
\(116\) −1.59248 + 1.33625i −0.147858 + 0.124067i
\(117\) 12.2830 9.81109i 1.13556 0.907036i
\(118\) −0.0763718 + 0.433126i −0.00703059 + 0.0398725i
\(119\) −4.80268 + 0.846843i −0.440261 + 0.0776299i
\(120\) 0.0219421 + 0.291268i 0.00200303 + 0.0265890i
\(121\) 5.12705 8.88031i 0.466096 0.807301i
\(122\) −10.7232 18.5732i −0.970836 1.68154i
\(123\) −9.77002 14.3180i −0.880933 1.29101i
\(124\) −1.78134 + 2.12292i −0.159969 + 0.190644i
\(125\) 4.17862 2.41253i 0.373747 0.215783i
\(126\) 9.99022 5.45052i 0.890000 0.485571i
\(127\) 2.91821 + 8.01772i 0.258949 + 0.711458i 0.999233 + 0.0391627i \(0.0124691\pi\)
−0.740283 + 0.672295i \(0.765309\pi\)
\(128\) −0.471857 2.67603i −0.0417066 0.236530i
\(129\) 3.58736 7.45669i 0.315849 0.656525i
\(130\) −4.76364 1.73382i −0.417799 0.152066i
\(131\) 9.62927 + 11.4757i 0.841313 + 1.00264i 0.999883 + 0.0152905i \(0.00486732\pi\)
−0.158570 + 0.987348i \(0.550688\pi\)
\(132\) 3.94290 14.0350i 0.343185 1.22159i
\(133\) 2.89248 + 7.94368i 0.250810 + 0.688805i
\(134\) 0.810009i 0.0699741i
\(135\) 0.316575 2.55047i 0.0272465 0.219509i
\(136\) 0.293228 0.805638i 0.0251441 0.0690829i
\(137\) −1.81606 0.320220i −0.155157 0.0273583i 0.0955303 0.995427i \(-0.469545\pi\)
−0.250687 + 0.968068i \(0.580656\pi\)
\(138\) 11.4742 + 1.14363i 0.976746 + 0.0973522i
\(139\) 3.82337 1.39159i 0.324294 0.118033i −0.174743 0.984614i \(-0.555909\pi\)
0.499037 + 0.866581i \(0.333687\pi\)
\(140\) −1.51668 0.875656i −0.128183 0.0740064i
\(141\) 9.99162 2.54834i 0.841446 0.214609i
\(142\) 4.66743 + 3.91643i 0.391682 + 0.328660i
\(143\) −18.5062 15.5285i −1.54756 1.29856i
\(144\) −0.312837 + 12.9510i −0.0260698 + 1.07925i
\(145\) 0.487735 + 0.281594i 0.0405042 + 0.0233851i
\(146\) 0.231219 0.0841568i 0.0191358 0.00696486i
\(147\) −0.556317 + 5.58159i −0.0458842 + 0.460362i
\(148\) 5.89922 + 1.04019i 0.484913 + 0.0855032i
\(149\) −1.40291 + 3.85446i −0.114931 + 0.315770i −0.983799 0.179273i \(-0.942625\pi\)
0.868869 + 0.495043i \(0.164848\pi\)
\(150\) 14.6819 6.63163i 1.19877 0.541470i
\(151\) 21.1107i 1.71796i 0.512006 + 0.858982i \(0.328902\pi\)
−0.512006 + 0.858982i \(0.671098\pi\)
\(152\) −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
\(156\) −14.9320 7.18367i −1.19552 0.575154i
\(157\) −1.07553 6.09962i −0.0858364 0.486803i −0.997173 0.0751405i \(-0.976059\pi\)
0.911337 0.411662i \(-0.135052\pi\)
\(158\) 9.66256 + 26.5477i 0.768712 + 2.11202i
\(159\) −12.2516 + 11.9592i −0.971612 + 0.948425i
\(160\) 3.32576 1.92013i 0.262925 0.151800i
\(161\) 4.24327 5.05693i 0.334417 0.398542i
\(162\) 3.89026 17.1682i 0.305648 1.34886i
\(163\) −0.853080 1.47758i −0.0668184 0.115733i 0.830681 0.556749i \(-0.187951\pi\)
−0.897499 + 0.441016i \(0.854618\pi\)
\(164\) −9.13535 + 15.8229i −0.713351 + 1.23556i
\(165\) −3.93832 + 0.296686i −0.306598 + 0.0230970i
\(166\) −13.4593 + 2.37325i −1.04465 + 0.184200i
\(167\) 0.922825 5.23360i 0.0714104 0.404988i −0.928060 0.372432i \(-0.878524\pi\)
0.999470 0.0325564i \(-0.0103649\pi\)
\(168\) 0.930227 + 0.668236i 0.0717685 + 0.0515555i
\(169\) −11.0761 + 9.29394i −0.852007 + 0.714919i
\(170\) 2.43256 0.186569
\(171\) 12.1771 + 4.76628i 0.931209 + 0.364486i
\(172\) −8.72204 −0.665049
\(173\) 8.83296 7.41174i 0.671558 0.563504i −0.241968 0.970284i \(-0.577793\pi\)
0.913526 + 0.406780i \(0.133349\pi\)
\(174\) 3.13296 + 2.25059i 0.237509 + 0.170616i
\(175\) 1.60153 9.08272i 0.121064 0.686589i
\(176\) 19.6056 3.45700i 1.47783 0.260581i
\(177\) 0.388365 0.0292567i 0.0291913 0.00219907i
\(178\) −5.54288 + 9.60055i −0.415456 + 0.719591i
\(179\) 8.87880 + 15.3785i 0.663633 + 1.14945i 0.979654 + 0.200694i \(0.0643196\pi\)
−0.316021 + 0.948752i \(0.602347\pi\)
\(180\) −2.56723 + 0.864780i −0.191350 + 0.0644569i
\(181\) −7.50836 + 8.94811i −0.558092 + 0.665108i −0.969142 0.246505i \(-0.920718\pi\)
0.411050 + 0.911613i \(0.365162\pi\)
\(182\) −17.2150 + 9.93907i −1.27606 + 0.736733i
\(183\) −13.5903 + 13.2660i −1.00462 + 0.980649i
\(184\) 0.396924 + 1.09054i 0.0292616 + 0.0803956i
\(185\) −0.281804 1.59819i −0.0207186 0.117501i
\(186\) 4.63406 + 2.22941i 0.339786 + 0.163468i
\(187\) 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 \(-0.0329774\pi\)
\(192\) 10.3391 4.67004i 0.746159 0.337031i
\(193\) −2.56804 + 7.05562i −0.184851 + 0.507875i −0.997157 0.0753578i \(-0.975990\pi\)
0.812305 + 0.583232i \(0.198212\pi\)
\(194\) 13.4778 + 2.37650i 0.967650 + 0.170623i
\(195\) −0.445223 + 4.46697i −0.0318831 + 0.319887i
\(196\) 5.55590 2.02218i 0.396850 0.144441i
\(197\) −13.9117 8.03191i −0.991165 0.572250i −0.0855430 0.996334i \(-0.527263\pi\)
−0.905622 + 0.424085i \(0.860596\pi\)
\(198\) −27.0440 0.653260i −1.92193 0.0464252i
\(199\) 4.85208 + 4.07138i 0.343955 + 0.288612i 0.798357 0.602184i \(-0.205703\pi\)
−0.454402 + 0.890797i \(0.650147\pi\)
\(200\) 1.24205 + 1.04221i 0.0878265 + 0.0736952i
\(201\) 0.695042 0.177269i 0.0490245 0.0125036i
\(202\) 18.4319 + 10.6417i 1.29687 + 0.748746i
\(203\) 2.07521 0.755313i 0.145651 0.0530126i
\(204\) 7.91208 + 0.788596i 0.553956 + 0.0552128i
\(205\) 4.87462 + 0.859526i 0.340458 + 0.0600319i
\(206\) 1.59567 4.38407i 0.111176 0.305453i
\(207\) −1.52979 10.0959i −0.106328 0.701713i
\(208\) 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 0.466207 0.884676i \(-0.345620\pi\)
−0.952191 + 0.305502i \(0.901176\pi\)
\(212\) 16.9580 + 6.17221i 1.16468 + 0.423909i
\(213\) 2.33911 4.86207i 0.160273 0.333144i
\(214\) −2.92565 16.5922i −0.199994 1.13422i
\(215\) 0.808172 + 2.22043i 0.0551168 + 0.151432i
\(216\) 1.72679 0.396262i 0.117493 0.0269622i
\(217\) 2.54957 1.47199i 0.173076 0.0999254i
\(218\) 5.73453 6.83415i 0.388392 0.462867i
\(219\) −0.122814 0.179984i −0.00829900 0.0121622i
\(220\) 2.08149 + 3.60525i 0.140334 + 0.243066i
\(221\) 6.58814 11.4110i 0.443166 0.767586i
\(222\) −0.835007 11.0842i −0.0560420 0.743923i
\(223\) 23.0897 4.07134i 1.54620 0.272637i 0.665532 0.746369i \(-0.268205\pi\)
0.880669 + 0.473732i \(0.157093\pi\)
\(224\) 2.61489 14.8298i 0.174715 0.990856i
\(225\) −8.90349 11.1467i −0.593566 0.743115i
\(226\) −13.3470 + 11.1995i −0.887830 + 0.744978i
\(227\) −0.844414 −0.0560457 −0.0280229 0.999607i \(-0.508921\pi\)
−0.0280229 + 0.999607i \(0.508921\pi\)
\(228\) −1.03729 13.7445i −0.0686962 0.910251i
\(229\) 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
\(231\) −9.03542 + 12.5779i −0.594487 + 0.827564i
\(232\) −0.0674167 + 0.382339i −0.00442613 + 0.0251018i
\(233\) −26.4558 + 4.66487i −1.73318 + 0.305606i −0.949081 0.315033i \(-0.897984\pi\)
−0.784096 + 0.620639i \(0.786873\pi\)
\(234\) −6.06901 + 30.1431i −0.396743 + 1.97051i
\(235\) −1.47227 + 2.55005i −0.0960406 + 0.166347i
\(236\) −0.205259 0.355519i −0.0133612 0.0231423i
\(237\) 20.6650 14.1010i 1.34234 0.915961i
\(238\) 6.13132 7.30703i 0.397435 0.473644i
\(239\) −19.6545 + 11.3476i −1.27135 + 0.734012i −0.975241 0.221143i \(-0.929021\pi\)
−0.296105 + 0.955155i \(0.595688\pi\)
\(240\) −2.58407 2.64724i −0.166801 0.170879i
\(241\) −8.49003 23.3262i −0.546891 1.50257i −0.837885 0.545846i \(-0.816208\pi\)
0.290994 0.956725i \(-0.406014\pi\)
\(242\) 3.48275 + 19.7517i 0.223880 + 1.26968i
\(243\) −15.5828 + 0.419115i −0.999638 + 0.0268862i
\(244\) 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
\(249\) 4.98196 + 11.0296i 0.315719 + 0.698975i
\(250\) −3.22781 + 8.86833i −0.204145 + 0.560883i
\(251\) −15.8837 2.80072i −1.00257 0.176780i −0.351815 0.936070i \(-0.614435\pi\)
−0.650753 + 0.759290i \(0.725547\pi\)
\(252\) −3.87309 + 9.89123i −0.243982 + 0.623089i
\(253\) −14.7455 + 5.36693i −0.927042 + 0.337416i
\(254\) −14.4527 8.34429i −0.906845 0.523567i
\(255\) −0.532363 2.08730i −0.0333378 0.130712i
\(256\) 14.1066 + 11.8368i 0.881660 + 0.739801i
\(257\) 10.9469 + 9.18557i 0.682851 + 0.572980i 0.916838 0.399260i \(-0.130733\pi\)
−0.233987 + 0.972240i \(0.575177\pi\)
\(258\) 3.99987 + 15.6828i 0.249021 + 0.976369i
\(259\) −5.51099 3.18177i −0.342436 0.197706i
\(260\) 4.44641 1.61836i 0.275755 0.100366i
\(261\) 1.24551 3.18083i 0.0770952 0.196888i
\(262\) −28.8557 5.08804i −1.78271 0.314340i
\(263\) 4.39828 12.0842i 0.271209 0.745141i −0.727073 0.686560i \(-0.759120\pi\)
0.998283 0.0585816i \(-0.0186578\pi\)
\(264\) −1.12074 2.48123i −0.0689770 0.152709i
\(265\) 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 \(-0.0586015\pi\)
0.635428 + 0.772160i \(0.280824\pi\)
\(270\) 2.73224 + 4.21947i 0.166279 + 0.256789i
\(271\) −0.00607291 0.0344412i −0.000368903 0.00209215i 0.984623 0.174694i \(-0.0558937\pi\)
−0.984992 + 0.172602i \(0.944783\pi\)
\(272\) 3.71374 + 10.2034i 0.225179 + 0.618673i
\(273\) 12.2959 + 12.5965i 0.744179 + 0.762373i
\(274\) 3.12366 1.80345i 0.188707 0.108950i
\(275\) −14.0920 + 16.7942i −0.849780 + 1.01273i
\(276\) −8.89053 + 6.06656i −0.535147 + 0.365164i
\(277\) 6.22597 + 10.7837i 0.374082 + 0.647929i 0.990189 0.139733i \(-0.0446245\pi\)
−0.616107 + 0.787662i \(0.711291\pi\)
\(278\) −3.97910 + 6.89201i −0.238651 + 0.413355i
\(279\) 0.898830 4.46424i 0.0538115 0.267267i
\(280\) −0.322102 + 0.0567952i −0.0192493 + 0.00339416i
\(281\) −5.22472 + 29.6308i −0.311680 + 1.76763i 0.278579 + 0.960413i \(0.410137\pi\)
−0.590259 + 0.807214i \(0.700974\pi\)
\(282\) −11.7669 + 16.3802i −0.700707 + 0.975429i
\(283\) 21.0118 17.6310i 1.24902 1.04805i 0.252259 0.967660i \(-0.418827\pi\)
0.996763 0.0803941i \(-0.0256179\pi\)
\(284\) −5.68714 −0.337469
\(285\) −3.40292 + 1.53761i −0.201572 + 0.0910804i
\(286\) 47.2516 2.79405
\(287\) 14.8684 12.4761i 0.877656 0.736441i
\(288\) −14.5371 18.1998i −0.856609 1.07243i
\(289\) 1.85409 10.5151i 0.109064 0.618534i
\(290\) −1.08482 + 0.191284i −0.0637030 + 0.0112326i
\(291\) −0.910397 12.0850i −0.0533684 0.708433i
\(292\) −0.114836 + 0.198902i −0.00672026 + 0.0116398i
\(293\) −4.44167 7.69320i −0.259485 0.449442i 0.706619 0.707594i \(-0.250220\pi\)
−0.966104 + 0.258153i \(0.916886\pi\)
\(294\) −6.18391 9.06251i −0.360653 0.528536i
\(295\) −0.0714881 + 0.0851963i −0.00416220 + 0.00496032i
\(296\) 0.968839 0.559360i 0.0563126 0.0325121i
\(297\) 5.35798 + 23.3485i 0.310902 + 1.35482i
\(298\) −2.74400 7.53907i −0.158956 0.436727i
\(299\) 3.09716 + 17.5649i 0.179113 + 1.01580i
\(300\) −6.51913 + 13.5507i −0.376382 + 0.782348i
\(301\) 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
\(306\) −2.21047 14.5881i −0.126364 0.833945i
\(307\) −7.84228 + 21.5465i −0.447582 + 1.22972i 0.486820 + 0.873503i \(0.338157\pi\)
−0.934402 + 0.356220i \(0.884065\pi\)
\(308\) 16.0760 + 2.83463i 0.916015 + 0.161518i
\(309\) −4.11104 0.409747i −0.233869 0.0233097i
\(310\) −1.37992 + 0.502249i −0.0783741 + 0.0285258i
\(311\) −12.5985 7.27375i −0.714396 0.412457i 0.0982907 0.995158i \(-0.468662\pi\)
−0.812687 + 0.582701i \(0.801996\pi\)
\(312\) −2.99860 + 0.764788i −0.169763 + 0.0432976i
\(313\) −13.4333 11.2718i −0.759292 0.637122i 0.178650 0.983913i \(-0.442827\pi\)
−0.937943 + 0.346791i \(0.887271\pi\)
\(314\) 9.28025 + 7.78705i 0.523715 + 0.439449i
\(315\) 2.87696 + 0.0694943i 0.162098 + 0.00391556i
\(316\) −22.8371 13.1850i −1.28469 0.741715i
\(317\) 16.5955 6.04028i 0.932098 0.339256i 0.169057 0.985606i \(-0.445928\pi\)
0.763041 + 0.646351i \(0.223706\pi\)
\(318\) 3.32121 33.3221i 0.186244 1.86861i
\(319\) −5.16973 0.911563i −0.289449 0.0510377i
\(320\) −1.10802 + 3.04427i −0.0619403 + 0.170180i
\(321\) −13.5970 + 6.14158i −0.758908 + 0.342790i
\(322\) 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
\(327\) −7.11916 3.42497i −0.393690 0.189401i
\(328\) 0.592520 + 3.36035i 0.0327165 + 0.185544i
\(329\) 3.94905 + 10.8499i 0.217718 + 0.598176i
\(330\) 5.52791 5.39599i 0.304302 0.297040i
\(331\) −3.69737 + 2.13468i −0.203226 + 0.117332i −0.598159 0.801377i \(-0.704101\pi\)
0.394933 + 0.918710i \(0.370768\pi\)
\(332\) 8.19993 9.77230i 0.450030 0.536325i
\(333\) −9.32826 + 3.14225i −0.511185 + 0.172194i
\(334\) 5.19725 + 9.00190i 0.284381 + 0.492562i
\(335\) −0.102415 + 0.177388i −0.00559553 + 0.00969174i
\(336\) −14.4651 + 1.08970i −0.789134 + 0.0594479i
\(337\) −20.0909 + 3.54257i −1.09442 + 0.192976i −0.691585 0.722295i \(-0.743087\pi\)
−0.402837 + 0.915272i \(0.631976\pi\)
\(338\) 4.91085 27.8508i 0.267115 1.51489i
\(339\) 12.5309 + 9.00165i 0.680583 + 0.488902i
\(340\) −1.73936 + 1.45949i −0.0943299 + 0.0791521i
\(341\) −6.99804 −0.378965
\(342\) −24.2378 + 8.16824i −1.31063 + 0.441688i
\(343\) −19.8571 −1.07219
\(344\) −1.24781 + 1.04704i −0.0672777 + 0.0564527i
\(345\) 2.36819 + 1.70121i 0.127499 + 0.0915899i
\(346\) −3.91631 + 22.2105i −0.210542 + 1.19404i
\(347\) 26.1493 4.61083i 1.40377 0.247522i 0.580078 0.814561i \(-0.303022\pi\)
0.823691 + 0.567039i \(0.191911\pi\)
\(348\) −3.59047 + 0.270481i −0.192469 + 0.0144993i
\(349\) −1.37375 + 2.37941i −0.0735352 + 0.127367i −0.900448 0.434963i \(-0.856761\pi\)
0.826913 + 0.562330i \(0.190095\pi\)
\(350\) 9.01963 + 15.6225i 0.482120 + 0.835056i
\(351\) 27.1930 1.38914i 1.45145 0.0741470i
\(352\) −23.0087 + 27.4207i −1.22637 + 1.46153i
\(353\) 21.0798 12.1704i 1.12197 0.647767i 0.180063 0.983655i \(-0.442370\pi\)
0.941902 + 0.335888i \(0.109036\pi\)
\(354\) −0.545117 + 0.532108i −0.0289726 + 0.0282812i
\(355\) 0.526962 + 1.44782i 0.0279682 + 0.0768421i
\(356\) −1.79683 10.1903i −0.0952315 0.540085i
\(357\) −7.61175 3.66196i −0.402857 0.193811i
\(358\) −32.6381 11.8793i −1.72498 0.627840i
\(359\) 19.5952 + 23.3526i 1.03419 + 1.23251i 0.972132 + 0.234433i \(0.0753234\pi\)
0.0620627 + 0.998072i \(0.480232\pi\)
\(360\) −0.263467 + 0.431903i −0.0138859 + 0.0227633i
\(361\) −3.30439 18.7105i −0.173915 0.984761i
\(362\) 22.8471i 1.20082i
\(363\) 16.1861 7.31105i 0.849548 0.383731i
\(364\) 6.34597 17.4354i 0.332619 0.913863i
\(365\) 0.0612763 + 0.0108047i 0.00320735 + 0.000565542i
\(366\) 3.68412 36.9632i 0.192572 1.93210i
\(367\) 11.0315 4.01514i 0.575839 0.209588i −0.0376505 0.999291i \(-0.511987\pi\)
0.613490 + 0.789703i \(0.289765\pi\)
\(368\) −12.7289 7.34904i −0.663541 0.383095i
\(369\) 0.725005 30.0141i 0.0377423 1.56247i
\(370\) 2.43156 + 2.04032i 0.126411 + 0.106071i
\(371\) −14.6858 12.3229i −0.762451 0.639772i
\(372\) −4.65110 + 1.18625i −0.241148 + 0.0615043i
\(373\) 21.0815 + 12.1714i 1.09156 + 0.630212i 0.933991 0.357297i \(-0.116302\pi\)
0.157567 + 0.987508i \(0.449635\pi\)
\(374\) −21.3066 + 7.75495i −1.10174 + 0.400999i
\(375\) 8.31603 + 0.828858i 0.429438 + 0.0428021i
\(376\) −1.99901 0.352479i −0.103091 0.0181777i
\(377\) −2.04074 + 5.60688i −0.105103 + 0.288769i
\(378\) 19.5613 + 2.42803i 1.00612 + 0.124884i
\(379\) 5.14415i 0.264237i −0.991234 0.132119i \(-0.957822\pi\)
0.991234 0.132119i \(-0.0421780\pi\)
\(380\) 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 \(-0.484488\pi\)
−0.604707 + 0.796448i \(0.706710\pi\)
\(384\) 2.04043 4.24123i 0.104125 0.216434i
\(385\) −0.767946 4.35524i −0.0391381 0.221963i
\(386\) −5.02291 13.8003i −0.255659 0.702418i
\(387\) 12.5815 6.86431i 0.639556 0.348933i
\(388\) −11.0629 + 6.38716i −0.561633 + 0.324259i
\(389\) −15.4791 + 18.4473i −0.784821 + 0.935314i −0.999141 0.0414499i \(-0.986802\pi\)
0.214319 + 0.976764i \(0.431247\pi\)
\(390\) −4.94901 7.25277i −0.250603 0.367258i
\(391\) −4.27932 7.41199i −0.216414 0.374841i
\(392\) 0.552098 0.956262i 0.0278852 0.0482985i
\(393\) 1.94914 + 25.8737i 0.0983212 + 1.30515i
\(394\) 30.9424 5.45599i 1.55886 0.274869i
\(395\) −1.24055 + 7.03551i −0.0624189 + 0.353995i
\(396\) 19.7292 15.7588i 0.991429 0.791908i
\(397\) 9.61123 8.06478i 0.482374 0.404760i −0.368910 0.929465i \(-0.620269\pi\)
0.851284 + 0.524705i \(0.175825\pi\)
\(398\) −12.3888 −0.620993
\(399\) −3.95838 + 14.0974i −0.198167 + 0.705753i
\(400\) −20.5349 −1.02674
\(401\) −16.8863 + 14.1693i −0.843264 + 0.707583i −0.958295 0.285779i \(-0.907748\pi\)
0.115031 + 0.993362i \(0.463303\pi\)
\(402\) −0.818533 + 1.13945i −0.0408247 + 0.0568306i
\(403\) −1.38123 + 7.83334i −0.0688040 + 0.390207i
\(404\) −19.5642 + 3.44970i −0.973355 + 0.171629i
\(405\) 3.02264 3.26787i 0.150196 0.162382i
\(406\) −2.15973 + 3.74077i −0.107186 + 0.185651i
\(407\) 7.56327 + 13.1000i 0.374898 + 0.649342i
\(408\) 1.22660 0.836988i 0.0607260 0.0414371i
\(409\) 8.66466 10.3261i 0.428440 0.510595i −0.508031 0.861338i \(-0.669627\pi\)
0.936472 + 0.350743i \(0.114071\pi\)
\(410\) −8.38444 + 4.84076i −0.414078 + 0.239068i
\(411\) −2.23109 2.28563i −0.110051 0.112742i
\(412\) 1.48941 + 4.09212i 0.0733779 + 0.201604i
\(413\) 0.0757285 + 0.429477i 0.00372635 + 0.0211332i
\(414\) 14.9852 + 13.2037i 0.736482 + 0.648925i
\(415\) −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 \(-0.337168\pi\)
\(420\) −1.24866 2.76444i −0.0609286 0.134891i
\(421\) 0.543107 1.49217i 0.0264694 0.0727241i −0.925754 0.378126i \(-0.876569\pi\)
0.952224 + 0.305402i \(0.0987908\pi\)
\(422\) 21.1545 + 3.73010i 1.02978 + 0.181578i
\(423\) 16.6305 + 6.51198i 0.808603 + 0.316623i
\(424\) 3.16703 1.15271i 0.153805 0.0559803i
\(425\) −10.3554 5.97869i −0.502310 0.290009i
\(426\) 2.60808 + 10.2258i 0.126362 + 0.495444i
\(427\) −16.2906 13.6694i −0.788356 0.661509i
\(428\) 12.0469 + 10.1086i 0.582311 + 0.488617i
\(429\) −10.3409 40.5451i −0.499265 1.95753i
\(430\) −4.00255 2.31087i −0.193020 0.111440i
\(431\) 8.42816 3.06760i 0.405970 0.147761i −0.130960 0.991388i \(-0.541806\pi\)
0.536930 + 0.843627i \(0.319584\pi\)
\(432\) −13.5273 + 17.9022i −0.650835 + 0.861320i
\(433\) 12.5463 + 2.21225i 0.602936 + 0.106314i 0.466780 0.884374i \(-0.345414\pi\)
0.136156 + 0.990687i \(0.456525\pi\)
\(434\) −1.96943 + 5.41098i −0.0945359 + 0.259735i
\(435\) 0.401546 + 0.888989i 0.0192527 + 0.0426238i
\(436\) 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 0.687421 0.726259i \(-0.258743\pi\)
−0.834595 + 0.550864i \(0.814298\pi\)
\(440\) 0.730580 + 0.265910i 0.0348291 + 0.0126767i
\(441\) −6.42290 + 7.28952i −0.305853 + 0.347120i
\(442\) 4.47525 + 25.3804i 0.212866 + 1.20722i
\(443\) −2.89248 7.94702i −0.137426 0.377574i 0.851820 0.523834i \(-0.175499\pi\)
−0.989246 + 0.146260i \(0.953277\pi\)
\(444\) 7.24737 + 7.42455i 0.343945 + 0.352354i
\(445\) −2.42773 + 1.40165i −0.115085 + 0.0664445i
\(446\) −29.4774 + 35.1298i −1.39579 + 1.66344i
\(447\) −5.86852 + 4.00445i −0.277571 + 0.189404i
\(448\) 6.35169 + 11.0014i 0.300089 + 0.519770i
\(449\) 2.29293 3.97148i 0.108210 0.187426i −0.806835 0.590777i \(-0.798821\pi\)
0.915045 + 0.403351i \(0.132155\pi\)
\(450\) 27.3546 + 5.50758i 1.28951 + 0.259630i
\(451\) −45.4363 + 8.01165i −2.13951 + 0.377254i
\(452\) 2.82404 16.0159i 0.132832 0.753325i
\(453\) −21.3328 + 29.6967i −1.00230 + 1.39527i
\(454\) 1.26521 1.06164i 0.0593794 0.0498252i
\(455\) −5.02666 −0.235654
\(456\) −1.79836 1.84183i −0.0842160 0.0862515i
\(457\) −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
\(459\) −12.0338 + 5.08931i −0.561689 + 0.237549i
\(460\) 0.533710 3.02682i 0.0248844 0.141126i
\(461\) −24.7397 + 4.36228i −1.15224 + 0.203171i −0.716955 0.697120i \(-0.754465\pi\)
−0.435288 + 0.900291i \(0.643353\pi\)
\(462\) −2.27548 30.2056i −0.105865 1.40529i
\(463\) 5.36106 9.28562i 0.249149 0.431539i −0.714141 0.700002i \(-0.753182\pi\)
0.963290 + 0.268463i \(0.0865157\pi\)
\(464\) −2.45852 4.25827i −0.114134 0.197685i
\(465\) 0.732956 + 1.07415i 0.0339900 + 0.0498124i
\(466\) 33.7747 40.2511i 1.56458 1.86460i
\(467\) 2.86340 1.65318i 0.132502 0.0765002i −0.432284 0.901738i \(-0.642292\pi\)
0.564786 + 0.825237i \(0.308959\pi\)
\(468\) −13.7458 25.1945i −0.635398 1.16462i
\(469\) 0.274706 + 0.754748i 0.0126847 + 0.0348510i
\(470\) −1.00010 5.67185i −0.0461311 0.261623i
\(471\) 4.65085 9.66726i 0.214300 0.445444i
\(472\) −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
\(477\) −29.3195 + 4.44267i −1.34245 + 0.203416i
\(478\) 15.1823 41.7131i 0.694423 1.90791i
\(479\) −5.99987 1.05794i −0.274141 0.0483385i 0.0348874 0.999391i \(-0.488893\pi\)
−0.309028 + 0.951053i \(0.600004\pi\)
\(480\) 6.61873 + 0.659689i 0.302102 + 0.0301105i
\(481\) 16.1564 5.88046i 0.736669 0.268126i
\(482\) 42.0477 + 24.2763i 1.91522 + 1.10575i
\(483\) 11.0792 2.82573i 0.504122 0.128575i
\(484\) −14.3409 12.0334i −0.651859 0.546974i
\(485\) 2.65110 + 2.22453i 0.120380 + 0.101011i
\(486\) 22.8213 20.2195i 1.03520 0.917174i
\(487\) 1.88147 + 1.08627i 0.0852575 + 0.0492234i 0.542023 0.840364i \(-0.317659\pi\)
−0.456765 + 0.889587i \(0.650992\pi\)
\(488\) 3.51310 1.27866i 0.159030 0.0578823i
\(489\) 0.293088 2.94059i 0.0132539 0.132978i
\(490\) 3.08537 + 0.544035i 0.139383 + 0.0245770i
\(491\) 11.0836 30.4521i 0.500198 1.37428i −0.390884 0.920440i \(-0.627831\pi\)
0.891082 0.453842i \(-0.149947\pi\)
\(492\) −28.8402 + 13.0268i −1.30022 + 0.587293i
\(493\) 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
\(498\) −21.3317 10.2625i −0.955895 0.459874i
\(499\) 2.81643 + 15.9728i 0.126081 + 0.715039i 0.980660 + 0.195719i \(0.0627039\pi\)
−0.854579 + 0.519321i \(0.826185\pi\)
\(500\) −3.01285 8.27775i −0.134739 0.370192i
\(501\) 6.58683 6.42964i 0.294278 0.287255i
\(502\) 27.3202 15.7733i 1.21936 0.703998i
\(503\) 10.3825 12.3734i 0.462933 0.551702i −0.483188 0.875517i \(-0.660521\pi\)
0.946120 + 0.323815i \(0.104966\pi\)
\(504\) 0.633295 + 1.88003i 0.0282092 + 0.0837433i
\(505\) 2.69100 + 4.66096i 0.119748 + 0.207410i
\(506\) 15.3461 26.5802i 0.682218 1.18164i
\(507\) −24.9726 + 1.88127i −1.10907 + 0.0835499i
\(508\) 15.3406 2.70495i 0.680627 0.120013i
\(509\) 4.96536 28.1600i 0.220086 1.24817i −0.651774 0.758413i \(-0.725975\pi\)
0.871860 0.489756i \(-0.162914\pi\)
\(510\) 3.42192 + 2.45816i 0.151525 + 0.108849i
\(511\) 0.186904 0.156831i 0.00826813 0.00693778i
\(512\) −30.5835 −1.35161
\(513\) 12.3133 + 19.0101i 0.543646 + 0.839315i
\(514\) −27.9507 −1.23285
\(515\) 0.903754 0.758339i 0.0398241 0.0334164i
\(516\) −12.2694 8.81383i −0.540131 0.388007i
\(517\) 4.76598 27.0292i 0.209607 1.18874i
\(518\) 12.2576 2.16134i 0.538567 0.0949639i
\(519\) 19.9152 1.50027i 0.874179 0.0658546i
\(520\) 0.441847 0.765301i 0.0193763 0.0335607i
\(521\) −0.554173 0.959856i −0.0242788 0.0420521i 0.853631 0.520879i \(-0.174396\pi\)
−0.877910 + 0.478827i \(0.841062\pi\)
\(522\) 2.13291 + 6.33186i 0.0933548 + 0.277138i
\(523\) 8.07045 9.61798i 0.352896 0.420565i −0.560170 0.828378i \(-0.689264\pi\)
0.913065 + 0.407813i \(0.133708\pi\)
\(524\) 23.6854 13.6748i 1.03470 0.597386i
\(525\) 11.4312 11.1584i 0.498898 0.486993i
\(526\) 8.60274 + 23.6358i 0.375097 + 1.03057i
\(527\) −0.662792 3.75888i −0.0288717 0.163739i
\(528\) 31.0729 + 14.9489i 1.35227 + 0.650569i
\(529\) −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
\(534\) −17.4988 + 7.90401i −0.757248 + 0.342040i
\(535\) 1.45716 4.00352i 0.0629987 0.173087i
\(536\) −0.139056 0.0245193i −0.00600630 0.00105907i
\(537\) −3.05044 + 30.6054i −0.131636 + 1.32072i
\(538\) −51.9219 + 18.8980i −2.23851 + 0.814752i
\(539\) 12.9299 + 7.46509i 0.556931 + 0.321544i
\(540\) −4.48524 1.37775i −0.193014 0.0592889i
\(541\) 19.4785 + 16.3444i 0.837448 + 0.702702i 0.956988 0.290127i \(-0.0936975\pi\)
−0.119540 + 0.992829i \(0.538142\pi\)
\(542\) 0.0524004 + 0.0439692i 0.00225079 + 0.00188864i
\(543\) −19.6044 + 5.00006i −0.841305 + 0.214573i
\(544\) −16.9077 9.76167i −0.724912 0.418528i
\(545\) 2.11992 0.771589i 0.0908076 0.0330513i
\(546\) −34.2602 3.41471i −1.46620 0.146136i
\(547\) 32.5162 + 5.73349i 1.39029 + 0.245146i 0.818149 0.575007i \(-0.195001\pi\)
0.572144 + 0.820153i \(0.306112\pi\)
\(548\) −1.15148 + 3.16366i −0.0491886 + 0.135145i
\(549\) −32.5232 + 4.92812i −1.38806 + 0.210327i
\(550\) 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
\(555\) 1.21859 2.53296i 0.0517263 0.107518i
\(556\) −1.28990 7.31538i −0.0547039 0.310241i
\(557\) −12.2432 33.6380i −0.518762 1.42529i −0.871885 0.489710i \(-0.837103\pi\)
0.353123 0.935577i \(-0.385120\pi\)
\(558\) 4.26592 + 7.81897i 0.180591 + 0.331003i
\(559\) −21.6803 + 12.5171i −0.916979 + 0.529418i
\(560\) 2.66265 3.17323i 0.112518 0.134093i
\(561\) 11.3172 + 16.5853i 0.477812 + 0.700232i
\(562\) −29.4250 50.9656i −1.24122 2.14986i
\(563\) 11.0660 19.1668i 0.466375 0.807785i −0.532887 0.846186i \(-0.678893\pi\)
0.999262 + 0.0384008i \(0.0122264\pi\)
\(564\) −1.41417 18.7723i −0.0595474 0.790455i
\(565\) −4.33896 + 0.765075i −0.182541 + 0.0321870i
\(566\) −9.31609 + 52.8342i −0.391585 + 2.22079i
\(567\) −2.19754 17.3162i −0.0922879 0.727214i
\(568\) −0.813628 + 0.682715i −0.0341391 + 0.0286461i
\(569\) 3.68640 0.154542 0.0772710 0.997010i \(-0.475379\pi\)
0.0772710 + 0.997010i \(0.475379\pi\)
\(570\) 3.16554 6.58218i 0.132590 0.275697i
\(571\) −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
\(573\) 2.88856 4.02107i 0.120672 0.167982i
\(574\) −6.59228 + 37.3867i −0.275157 + 1.56049i
\(575\) 15.9400 2.81065i 0.664744 0.117212i
\(576\) 19.2633 + 3.87848i 0.802638 + 0.161603i
\(577\) 7.58405 13.1360i 0.315728 0.546857i −0.663864 0.747853i \(-0.731085\pi\)
0.979592 + 0.200996i \(0.0644179\pi\)
\(578\) 10.4420 + 18.0861i 0.434331 + 0.752284i
\(579\) −10.7424 + 7.33018i −0.446437 + 0.304632i
\(580\) 0.660914 0.787647i 0.0274430 0.0327053i
\(581\) −11.7363 + 6.77593i −0.486902 + 0.281113i
\(582\) 16.5579 + 16.9627i 0.686347 + 0.703126i
\(583\) 15.5861 + 42.8224i 0.645510 + 1.77352i
\(584\) 0.00744828 + 0.0422413i 0.000308212 + 0.00174796i
\(585\) −5.14028 + 5.83384i −0.212524 + 0.241200i
\(586\) 16.3274 + 5.94268i 0.674478 + 0.245490i
\(587\) −4.23083 5.04211i −0.174625 0.208110i 0.671632 0.740885i \(-0.265594\pi\)
−0.846257 + 0.532775i \(0.821149\pi\)
\(588\) 9.85901 + 2.76973i 0.406579 + 0.114222i
\(589\) −6.21722 + 2.26384i −0.256176 + 0.0932798i
\(590\) 0.217531i 0.00895560i
\(591\) −11.4533 25.3567i −0.471126 1.04303i
\(592\) −4.84594 + 13.3141i −0.199167 + 0.547207i
\(593\) −5.69179 1.00362i −0.233734 0.0412136i 0.0555543 0.998456i \(-0.482307\pi\)
−0.289288 + 0.957242i \(0.593419\pi\)
\(594\) −37.3830 28.2475i −1.53384 1.15901i
\(595\) 2.26661 0.824978i 0.0929219 0.0338208i
\(596\) 6.48535 + 3.74432i 0.265650 + 0.153373i
\(597\) 2.71126 + 10.6304i 0.110965 + 0.435073i
\(598\) −26.7240 22.4241i −1.09283 0.916990i
\(599\) 27.7457 + 23.2814i 1.13366 + 0.951254i 0.999213 0.0396667i \(-0.0126296\pi\)
0.134447 + 0.990921i \(0.457074\pi\)
\(600\) 0.694039 + 2.72121i 0.0283340 + 0.111093i
\(601\) 6.07461 + 3.50718i 0.247789 + 0.143061i 0.618751 0.785587i \(-0.287639\pi\)
−0.370963 + 0.928648i \(0.620972\pi\)
\(602\) −17.0300 + 6.19841i −0.694091 + 0.252628i
\(603\) 1.15686 + 0.452990i 0.0471110 + 0.0184472i
\(604\) 37.9558 + 6.69264i 1.54440 + 0.272319i
\(605\) −1.73463 + 4.76587i −0.0705229 + 0.193760i
\(606\) 15.1748 + 33.5957i 0.616433 + 1.36473i
\(607\) 14.2728i 0.579314i 0.957130 + 0.289657i \(0.0935413\pi\)
−0.957130 + 0.289657i \(0.906459\pi\)
\(608\) −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
\(612\) 10.3331 + 9.10467i 0.417692 + 0.368034i
\(613\) 3.36609 + 19.0901i 0.135955 + 0.771040i 0.974190 + 0.225730i \(0.0724768\pi\)
−0.838235 + 0.545310i \(0.816412\pi\)
\(614\) −15.3390 42.1435i −0.619031 1.70077i
\(615\) 5.98861 + 6.13502i 0.241484 + 0.247388i
\(616\) 2.64019 1.52431i 0.106376 0.0614164i
\(617\) −2.77009 + 3.30127i −0.111520 + 0.132904i −0.818917 0.573913i \(-0.805425\pi\)
0.707397 + 0.706817i \(0.249869\pi\)
\(618\) 6.67486 4.55467i 0.268502 0.183216i
\(619\) 4.18376 + 7.24648i 0.168159 + 0.291261i 0.937773 0.347250i \(-0.112884\pi\)
−0.769613 + 0.638510i \(0.779551\pi\)
\(620\) 0.685343 1.18705i 0.0275240 0.0476730i
\(621\) 8.05015 15.7479i 0.323042 0.631942i
\(622\) 28.0217 4.94098i 1.12357 0.198115i
\(623\) −1.90881 + 10.8254i −0.0764747 + 0.433710i
\(624\) 22.8663 31.8313i 0.915383 1.27427i
\(625\) 16.3859 13.7494i 0.655438 0.549978i
\(626\) 34.2990 1.37086
\(627\) 24.9039 24.3162i 0.994567 0.971096i
\(628\) −11.3077 −0.451228
\(629\) −6.32010 + 5.30320i −0.251999 + 0.211452i
\(630\) −4.39801 + 3.51293i −0.175221 + 0.139959i
\(631\) 4.18478 23.7331i 0.166593 0.944799i −0.780813 0.624765i \(-0.785195\pi\)
0.947406 0.320034i \(-0.103694\pi\)
\(632\) −4.84998 + 0.855183i −0.192922 + 0.0340173i
\(633\) −1.42894 18.9683i −0.0567952 0.753921i
\(634\) −17.2715 + 29.9151i −0.685938 + 1.18808i
\(635\) −2.11005 3.65472i −0.0837349 0.145033i
\(636\) 17.6179 + 25.8190i 0.698595 + 1.02379i
\(637\) 10.9082 12.9999i 0.432198 0.515073i
\(638\) 8.89204 5.13382i 0.352039 0.203250i
\(639\) 8.20369 4.47582i 0.324533 0.177061i
\(640\) 0.459674 + 1.26294i 0.0181702 + 0.0499222i
\(641\) 0.129228 + 0.732886i 0.00510418 + 0.0289473i 0.987253 0.159156i \(-0.0508772\pi\)
−0.982149 + 0.188103i \(0.939766\pi\)
\(642\) 12.6513 26.2969i 0.499305 1.03786i
\(643\) −36.8973 13.4295i −1.45509 0.529608i −0.511079 0.859534i \(-0.670754\pi\)
−0.944007 + 0.329926i \(0.892976\pi\)
\(644\) −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 \(-0.0632226\pi\)
\(648\) 2.82954 + 1.18754i 0.111155 + 0.0466509i
\(649\) 0.354553 0.974127i 0.0139174 0.0382378i
\(650\) −47.9988 8.46349i −1.88267 0.331965i
\(651\) 5.07399 + 0.505724i 0.198865 + 0.0198209i
\(652\) −2.92705 + 1.06536i −0.114632 + 0.0417227i
\(653\) 24.0034 + 13.8584i 0.939327 + 0.542321i 0.889749 0.456449i \(-0.150879\pi\)
0.0495780 + 0.998770i \(0.484212\pi\)
\(654\) 14.9729 3.81881i 0.585487 0.149327i
\(655\) −5.67595 4.76268i −0.221778 0.186093i
\(656\) −33.1049 27.7783i −1.29253 1.08456i
\(657\) 0.00911367 0.377292i 0.000355558 0.0147196i
\(658\) −19.5581 11.2919i −0.762453 0.440202i
\(659\) −37.9399 + 13.8090i −1.47793 + 0.537922i −0.950241 0.311516i \(-0.899163\pi\)
−0.527688 + 0.849438i \(0.676941\pi\)
\(660\) −0.715126 + 7.17494i −0.0278362 + 0.279284i
\(661\) −28.3986 5.00744i −1.10458 0.194767i −0.408517 0.912751i \(-0.633954\pi\)
−0.696060 + 0.717984i \(0.745065\pi\)
\(662\) 2.85607 7.84698i 0.111004 0.304981i
\(663\) 20.7987 9.39452i 0.807754 0.364853i
\(664\) 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
\(669\) 36.5948 + 17.6055i 1.41484 + 0.680667i
\(670\) −0.0695694 0.394548i −0.00268770 0.0152427i
\(671\) 17.2892 + 47.5017i 0.667442 + 1.83378i
\(672\) 18.6642 18.2188i 0.719988 0.702807i
\(673\) −16.2655 + 9.39089i −0.626989 + 0.361992i −0.779585 0.626296i \(-0.784570\pi\)
0.152596 + 0.988289i \(0.451237\pi\)
\(674\) 25.6490 30.5673i 0.987962 1.17741i
\(675\) −1.26064 24.6774i −0.0485220 0.949835i
\(676\) 13.1986 + 22.8606i 0.507638 + 0.879254i
\(677\) 5.21572 9.03390i 0.200457 0.347201i −0.748219 0.663452i \(-0.769091\pi\)
0.948676 + 0.316251i \(0.102424\pi\)
\(678\) −30.0927 + 2.26698i −1.15570 + 0.0870628i
\(679\) 13.3643 2.35648i 0.512874 0.0904335i
\(680\) −0.0736348 + 0.417603i −0.00282376 + 0.0160144i
\(681\) −1.18785 0.853300i −0.0455184 0.0326985i
\(682\) 10.4854 8.79829i 0.401506 0.336904i
\(683\) −27.0630 −1.03554 −0.517769 0.855520i \(-0.673237\pi\)
−0.517769 + 0.855520i \(0.673237\pi\)
\(684\) 12.4300 20.3828i 0.475271 0.779355i
\(685\) 0.912089 0.0348491
\(686\) 29.7526 24.9654i 1.13596 0.953184i
\(687\) 9.19576 + 6.60585i 0.350840 + 0.252029i
\(688\) 3.58238 20.3167i 0.136577 0.774567i
\(689\) 51.0101 8.99446i 1.94333 0.342662i
\(690\) −5.68718 + 0.428433i −0.216507 + 0.0163102i
\(691\) −0.487247 + 0.843937i −0.0185358 + 0.0321049i −0.875145 0.483862i \(-0.839234\pi\)
0.856609 + 0.515967i \(0.172567\pi\)
\(692\) −10.5256 18.2309i −0.400123 0.693034i
\(693\) −25.4205 + 8.56297i −0.965645 + 0.325281i
\(694\) −33.3834 + 39.7848i −1.26722 + 1.51021i
\(695\) −1.74281 + 1.00621i −0.0661085 + 0.0381678i
\(696\) −0.481199 + 0.469716i −0.0182398 + 0.0178045i
\(697\) −8.60665 23.6466i −0.326000 0.895678i
\(698\) −0.933174 5.29229i −0.0353212 0.200316i
\(699\) −41.9297 20.1721i −1.58593 0.762978i
\(700\) −15.8225 5.75892i −0.598034 0.217667i
\(701\) 9.90651 + 11.8061i 0.374164 + 0.445911i 0.919963 0.392005i \(-0.128218\pi\)
−0.545799 + 0.837916i \(0.683774\pi\)
\(702\) −38.9976 + 36.2698i −1.47187 + 1.36891i
\(703\) 10.9572 + 9.19163i 0.413258 + 0.346669i
\(704\) 30.1967i 1.13808i
\(705\) −4.64796 + 2.09943i −0.175052 + 0.0790690i
\(706\) −16.2833 + 44.7380i −0.612830 + 1.68374i
\(707\) 20.7835 + 3.66469i 0.781643 + 0.137825i
\(708\) 0.0705198 0.707533i 0.00265030 0.0265907i
\(709\) −30.4578 + 11.0857i −1.14387 + 0.416333i −0.843308 0.537430i \(-0.819395\pi\)
−0.300558 + 0.953763i \(0.597173\pi\)
\(710\) −2.60983 1.50679i −0.0979452 0.0565487i
\(711\) 43.3192 + 1.04640i 1.62460 + 0.0392430i
\(712\) −1.48036 1.24217i −0.0554789 0.0465523i
\(713\) 3.95787 + 3.32105i 0.148223 + 0.124374i
\(714\) 16.0089 4.08305i 0.599119 0.152804i
\(715\) 10.3479 + 5.97435i 0.386989 + 0.223428i
\(716\) 30.4646 11.0882i 1.13851 0.414385i
\(717\) −39.1153 3.89862i −1.46079 0.145596i
\(718\) −58.7202 10.3540i −2.19142 0.386406i
\(719\) −10.4822 + 28.7995i −0.390919 + 1.07404i 0.575664 + 0.817686i \(0.304743\pi\)
−0.966583 + 0.256354i \(0.917479\pi\)
\(720\) −0.959944 6.33517i −0.0357750 0.236098i
\(721\) 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
\(726\) −15.0603 + 31.3043i −0.558939 + 1.16181i
\(727\) −7.08739 40.1946i −0.262857 1.49073i −0.775069 0.631876i \(-0.782285\pi\)
0.512213 0.858859i \(-0.328826\pi\)
\(728\) −1.18516 3.25619i −0.0439248 0.120682i
\(729\) −22.3441 15.1572i −0.827559 0.561379i
\(730\) −0.105397 + 0.0608507i −0.00390090 + 0.00225219i
\(731\) 7.72170 9.20236i 0.285597 0.340362i
\(732\) 19.5430 + 28.6402i 0.722330 + 1.05857i
\(733\) 16.4021 + 28.4094i 0.605827 + 1.04932i 0.991920 + 0.126864i \(0.0404910\pi\)
−0.386093 + 0.922460i \(0.626176\pi\)
\(734\) −11.4808 + 19.8854i −0.423765 + 0.733982i
\(735\) −0.208410 2.76652i −0.00768734 0.102045i
\(736\) 26.0259 4.58908i 0.959329 0.169156i
\(737\) 0.331533 1.88022i 0.0122122 0.0692587i
\(738\) 36.6489 + 45.8826i 1.34907 + 1.68896i
\(739\) 6.98259 5.85908i 0.256859 0.215530i −0.505260 0.862967i \(-0.668604\pi\)
0.762119 + 0.647437i \(0.224159\pi\)
\(740\) −2.96279 −0.108914
\(741\) −22.3033 32.6759i −0.819332 1.20038i
\(742\) 37.4972 1.37657
\(743\) 11.0957 9.31040i 0.407062 0.341565i −0.416154 0.909294i \(-0.636622\pi\)
0.823216 + 0.567729i \(0.192178\pi\)
\(744\) −0.523003 + 0.728053i −0.0191742 + 0.0266917i
\(745\) 0.352295 1.99796i 0.0129071 0.0731997i
\(746\) −46.8896 + 8.26790i −1.71675 + 0.302709i
\(747\) −4.13753 + 20.5499i −0.151384 + 0.751883i
\(748\) 10.5820 18.3286i 0.386916 0.670159i
\(749\) −8.35312 14.4680i −0.305216 0.528650i
\(750\) −13.5023 + 9.21343i −0.493033 + 0.336427i
\(751\) −29.2589 + 34.8694i −1.06767 + 1.27240i −0.107139 + 0.994244i \(0.534169\pi\)
−0.960535 + 0.278160i \(0.910275\pi\)
\(752\) 22.2638 12.8540i 0.811877 0.468737i
\(753\) −19.5136 19.9906i −0.711114 0.728499i
\(754\) −3.99155 10.9667i −0.145364 0.399384i
\(755\) −1.81314 10.2828i −0.0659869 0.374230i
\(756\) −15.4437 + 10.0003i −0.561680 + 0.363707i
\(757\) 35.3771 + 12.8762i 1.28580 + 0.467994i 0.892347 0.451350i \(-0.149057\pi\)
0.393455 + 0.919344i \(0.371280\pi\)
\(758\) 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 \(0.938868\pi\)
\(762\) −11.8988 26.3428i −0.431046 0.954301i
\(763\) 3.02558 8.31271i 0.109533 0.300940i
\(764\) −5.13939 0.906213i −0.185937 0.0