Properties

Label 322.2.i.d.85.4
Level $322$
Weight $2$
Character 322.85
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 85.4
Character \(\chi\) \(=\) 322.85
Dual form 322.2.i.d.197.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.654861 + 0.755750i) q^{2} +(2.64484 - 1.69974i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.940662 + 2.05976i) q^{5} +(-0.447428 + 3.11193i) q^{6} +(0.959493 - 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(2.85983 - 6.26216i) q^{9} +O(q^{10})\) \(q+(-0.654861 + 0.755750i) q^{2} +(2.64484 - 1.69974i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.940662 + 2.05976i) q^{5} +(-0.447428 + 3.11193i) q^{6} +(0.959493 - 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(2.85983 - 6.26216i) q^{9} +(-2.17267 - 0.637952i) q^{10} +(2.81165 + 3.24481i) q^{11} +(-2.05883 - 2.37602i) q^{12} +(-6.57624 - 1.93096i) q^{13} +(-0.415415 + 0.909632i) q^{14} +(5.98895 + 3.84886i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(-0.656390 + 4.56529i) q^{17} +(2.85983 + 6.26216i) q^{18} +(-0.299358 - 2.08208i) q^{19} +(1.90493 - 1.22422i) q^{20} +(2.05883 - 2.37602i) q^{21} -4.29350 q^{22} +(-4.50800 - 1.63645i) q^{23} +3.14393 q^{24} +(-0.0834692 + 0.0963286i) q^{25} +(5.76584 - 3.70548i) q^{26} +(-1.73793 - 12.0876i) q^{27} +(-0.415415 - 0.909632i) q^{28} +(1.33496 - 9.28488i) q^{29} +(-6.83070 + 2.00568i) q^{30} +(5.45271 + 3.50424i) q^{31} +(0.415415 - 0.909632i) q^{32} +(12.9517 + 3.80296i) q^{33} +(-3.02037 - 3.48570i) q^{34} +(1.48286 + 1.71131i) q^{35} +(-6.60542 - 1.93953i) q^{36} +(-2.83353 + 6.20456i) q^{37} +(1.76957 + 1.13723i) q^{38} +(-20.6752 + 6.07079i) q^{39} +(-0.322256 + 2.24134i) q^{40} +(-0.00243637 - 0.00533491i) q^{41} +(0.447428 + 3.11193i) q^{42} +(-4.17923 + 2.68583i) q^{43} +(2.81165 - 3.24481i) q^{44} +15.5887 q^{45} +(4.18886 - 2.33527i) q^{46} -5.83038 q^{47} +(-2.05883 + 2.37602i) q^{48} +(0.841254 - 0.540641i) q^{49} +(-0.0181396 - 0.126164i) q^{50} +(6.02374 + 13.1901i) q^{51} +(-0.975407 + 6.78411i) q^{52} +(2.03819 - 0.598466i) q^{53} +(10.2733 + 6.60225i) q^{54} +(-4.03873 + 8.84359i) q^{55} +(0.959493 + 0.281733i) q^{56} +(-4.33074 - 4.99794i) q^{57} +(6.14283 + 7.08920i) q^{58} +(1.91104 + 0.561131i) q^{59} +(2.95737 - 6.47574i) q^{60} +(-5.19526 - 3.33879i) q^{61} +(-6.21909 + 1.82609i) q^{62} +(0.979735 - 6.81421i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-2.20870 - 15.3619i) q^{65} +(-11.3556 + 7.29782i) q^{66} +(1.90776 - 2.20167i) q^{67} +4.61224 q^{68} +(-14.7045 + 3.33425i) q^{69} -2.26439 q^{70} +(-1.52006 + 1.75424i) q^{71} +(5.79142 - 3.72192i) q^{72} +(1.61816 + 11.2545i) q^{73} +(-2.83353 - 6.20456i) q^{74} +(-0.0570296 + 0.396649i) q^{75} +(-2.01829 + 0.592622i) q^{76} +(3.61192 + 2.32124i) q^{77} +(8.95139 - 19.6008i) q^{78} +(-15.6381 - 4.59176i) q^{79} +(-1.48286 - 1.71131i) q^{80} +(-11.6175 - 13.4073i) q^{81} +(0.00562734 + 0.00165234i) q^{82} +(-1.53280 + 3.35637i) q^{83} +(-2.64484 - 1.69974i) q^{84} +(-10.0208 + 2.94239i) q^{85} +(0.707001 - 4.91730i) q^{86} +(-12.2511 - 26.8261i) q^{87} +(0.611029 + 4.24980i) q^{88} +(0.746861 - 0.479979i) q^{89} +(-10.2084 + 11.7811i) q^{90} -6.85387 q^{91} +(-0.978240 + 4.69500i) q^{92} +20.3778 q^{93} +(3.81809 - 4.40631i) q^{94} +(4.00700 - 2.57514i) q^{95} +(-0.447428 - 3.11193i) q^{96} +(-3.58447 - 7.84890i) q^{97} +(-0.142315 + 0.989821i) q^{98} +(28.3604 - 8.32736i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} + O(q^{10}) \) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} - 2q^{10} + 6q^{11} + 2q^{13} + 4q^{14} - 3q^{15} - 4q^{16} - 13q^{17} - 8q^{18} - 22q^{19} - 2q^{20} - 16q^{22} - 9q^{23} + 22q^{24} - 15q^{25} - 9q^{26} + 21q^{27} + 4q^{28} - 10q^{29} - 14q^{30} - 2q^{31} - 4q^{32} + 8q^{33} - 2q^{34} + 13q^{35} - 8q^{36} - 45q^{37} + 11q^{38} - 22q^{39} + 9q^{40} + 21q^{41} + 31q^{43} + 6q^{44} + 2q^{45} - 9q^{46} + 64q^{47} - 4q^{49} + 7q^{50} + 65q^{51} + 2q^{52} + 69q^{53} + 21q^{54} - 74q^{55} + 4q^{56} - 68q^{57} + 12q^{58} + 48q^{59} - 3q^{60} + 6q^{61} - 13q^{62} + 8q^{63} - 4q^{64} - 64q^{65} - 69q^{66} + 31q^{67} - 2q^{68} - 62q^{69} + 2q^{70} - 57q^{71} - 19q^{72} + 70q^{73} - 45q^{74} - 11q^{75} + 22q^{76} - 6q^{77} + 33q^{78} + 34q^{79} - 13q^{80} + 30q^{81} - 12q^{82} - 56q^{83} - 17q^{85} + 42q^{86} - 3q^{87} + 6q^{88} + 16q^{89} + 46q^{90} - 46q^{91} + 24q^{92} + 48q^{93} + 9q^{94} - 42q^{95} - 36q^{97} - 4q^{98} + 112q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.654861 + 0.755750i −0.463056 + 0.534396i
\(3\) 2.64484 1.69974i 1.52700 0.981343i 0.536488 0.843908i \(-0.319751\pi\)
0.990511 0.137435i \(-0.0438858\pi\)
\(4\) −0.142315 0.989821i −0.0711574 0.494911i
\(5\) 0.940662 + 2.05976i 0.420677 + 0.921153i 0.994749 + 0.102348i \(0.0326357\pi\)
−0.574072 + 0.818805i \(0.694637\pi\)
\(6\) −0.447428 + 3.11193i −0.182662 + 1.27044i
\(7\) 0.959493 0.281733i 0.362654 0.106485i
\(8\) 0.841254 + 0.540641i 0.297428 + 0.191145i
\(9\) 2.85983 6.26216i 0.953278 2.08739i
\(10\) −2.17267 0.637952i −0.687057 0.201738i
\(11\) 2.81165 + 3.24481i 0.847743 + 0.978348i 0.999950 0.0100010i \(-0.00318346\pi\)
−0.152207 + 0.988349i \(0.548638\pi\)
\(12\) −2.05883 2.37602i −0.594334 0.685898i
\(13\) −6.57624 1.93096i −1.82392 0.535551i −0.824385 0.566029i \(-0.808479\pi\)
−0.999535 + 0.0304777i \(0.990297\pi\)
\(14\) −0.415415 + 0.909632i −0.111024 + 0.243109i
\(15\) 5.98895 + 3.84886i 1.54634 + 0.993772i
\(16\) −0.959493 + 0.281733i −0.239873 + 0.0704331i
\(17\) −0.656390 + 4.56529i −0.159198 + 1.10725i 0.740918 + 0.671595i \(0.234391\pi\)
−0.900116 + 0.435650i \(0.856518\pi\)
\(18\) 2.85983 + 6.26216i 0.674069 + 1.47601i
\(19\) −0.299358 2.08208i −0.0686775 0.477662i −0.994915 0.100721i \(-0.967885\pi\)
0.926237 0.376941i \(-0.123024\pi\)
\(20\) 1.90493 1.22422i 0.425954 0.273744i
\(21\) 2.05883 2.37602i 0.449275 0.518490i
\(22\) −4.29350 −0.915378
\(23\) −4.50800 1.63645i −0.939982 0.341224i
\(24\) 3.14393 0.641751
\(25\) −0.0834692 + 0.0963286i −0.0166938 + 0.0192657i
\(26\) 5.76584 3.70548i 1.13077 0.726705i
\(27\) −1.73793 12.0876i −0.334465 2.32626i
\(28\) −0.415415 0.909632i −0.0785061 0.171904i
\(29\) 1.33496 9.28488i 0.247897 1.72416i −0.362431 0.932010i \(-0.618053\pi\)
0.610328 0.792149i \(-0.291038\pi\)
\(30\) −6.83070 + 2.00568i −1.24711 + 0.366185i
\(31\) 5.45271 + 3.50424i 0.979335 + 0.629381i 0.929284 0.369366i \(-0.120425\pi\)
0.0500513 + 0.998747i \(0.484062\pi\)
\(32\) 0.415415 0.909632i 0.0734357 0.160802i
\(33\) 12.9517 + 3.80296i 2.25460 + 0.662009i
\(34\) −3.02037 3.48570i −0.517990 0.597792i
\(35\) 1.48286 + 1.71131i 0.250649 + 0.289264i
\(36\) −6.60542 1.93953i −1.10090 0.323254i
\(37\) −2.83353 + 6.20456i −0.465829 + 1.02002i 0.520291 + 0.853989i \(0.325823\pi\)
−0.986120 + 0.166034i \(0.946904\pi\)
\(38\) 1.76957 + 1.13723i 0.287062 + 0.184484i
\(39\) −20.6752 + 6.07079i −3.31068 + 0.972105i
\(40\) −0.322256 + 2.24134i −0.0509532 + 0.354387i
\(41\) −0.00243637 0.00533491i −0.000380497 0.000833173i 0.909442 0.415832i \(-0.136509\pi\)
−0.909822 + 0.414998i \(0.863782\pi\)
\(42\) 0.447428 + 3.11193i 0.0690396 + 0.480181i
\(43\) −4.17923 + 2.68583i −0.637327 + 0.409585i −0.819016 0.573771i \(-0.805480\pi\)
0.181689 + 0.983356i \(0.441844\pi\)
\(44\) 2.81165 3.24481i 0.423872 0.489174i
\(45\) 15.5887 2.32382
\(46\) 4.18886 2.33527i 0.617613 0.344316i
\(47\) −5.83038 −0.850449 −0.425224 0.905088i \(-0.639805\pi\)
−0.425224 + 0.905088i \(0.639805\pi\)
\(48\) −2.05883 + 2.37602i −0.297167 + 0.342949i
\(49\) 0.841254 0.540641i 0.120179 0.0772344i
\(50\) −0.0181396 0.126164i −0.00256533 0.0178422i
\(51\) 6.02374 + 13.1901i 0.843492 + 1.84699i
\(52\) −0.975407 + 6.78411i −0.135265 + 0.940786i
\(53\) 2.03819 0.598466i 0.279967 0.0822056i −0.138735 0.990330i \(-0.544304\pi\)
0.418701 + 0.908124i \(0.362485\pi\)
\(54\) 10.2733 + 6.60225i 1.39802 + 0.898452i
\(55\) −4.03873 + 8.84359i −0.544583 + 1.19247i
\(56\) 0.959493 + 0.281733i 0.128218 + 0.0376481i
\(57\) −4.33074 4.99794i −0.573621 0.661994i
\(58\) 6.14283 + 7.08920i 0.806593 + 0.930858i
\(59\) 1.91104 + 0.561131i 0.248796 + 0.0730531i 0.403753 0.914868i \(-0.367706\pi\)
−0.154957 + 0.987921i \(0.549524\pi\)
\(60\) 2.95737 6.47574i 0.381795 0.836014i
\(61\) −5.19526 3.33879i −0.665185 0.427488i 0.164002 0.986460i \(-0.447560\pi\)
−0.829187 + 0.558972i \(0.811196\pi\)
\(62\) −6.21909 + 1.82609i −0.789826 + 0.231914i
\(63\) 0.979735 6.81421i 0.123435 0.858509i
\(64\) 0.415415 + 0.909632i 0.0519269 + 0.113704i
\(65\) −2.20870 15.3619i −0.273956 1.90540i
\(66\) −11.3556 + 7.29782i −1.39778 + 0.898299i
\(67\) 1.90776 2.20167i 0.233070 0.268977i −0.627152 0.778897i \(-0.715780\pi\)
0.860222 + 0.509920i \(0.170325\pi\)
\(68\) 4.61224 0.559316
\(69\) −14.7045 + 3.33425i −1.77021 + 0.401396i
\(70\) −2.26439 −0.270646
\(71\) −1.52006 + 1.75424i −0.180398 + 0.208190i −0.838745 0.544524i \(-0.816710\pi\)
0.658347 + 0.752714i \(0.271256\pi\)
\(72\) 5.79142 3.72192i 0.682526 0.438633i
\(73\) 1.61816 + 11.2545i 0.189391 + 1.31724i 0.833589 + 0.552385i \(0.186282\pi\)
−0.644198 + 0.764859i \(0.722809\pi\)
\(74\) −2.83353 6.20456i −0.329391 0.721265i
\(75\) −0.0570296 + 0.396649i −0.00658521 + 0.0458011i
\(76\) −2.01829 + 0.592622i −0.231513 + 0.0679784i
\(77\) 3.61192 + 2.32124i 0.411617 + 0.264530i
\(78\) 8.95139 19.6008i 1.01355 2.21935i
\(79\) −15.6381 4.59176i −1.75942 0.516613i −0.767234 0.641367i \(-0.778368\pi\)
−0.992188 + 0.124754i \(0.960186\pi\)
\(80\) −1.48286 1.71131i −0.165789 0.191330i
\(81\) −11.6175 13.4073i −1.29084 1.48970i
\(82\) 0.00562734 + 0.00165234i 0.000621436 + 0.000182470i
\(83\) −1.53280 + 3.35637i −0.168247 + 0.368409i −0.974909 0.222604i \(-0.928544\pi\)
0.806662 + 0.591013i \(0.201272\pi\)
\(84\) −2.64484 1.69974i −0.288576 0.185456i
\(85\) −10.0208 + 2.94239i −1.08691 + 0.319147i
\(86\) 0.707001 4.91730i 0.0762379 0.530246i
\(87\) −12.2511 26.8261i −1.31345 2.87606i
\(88\) 0.611029 + 4.24980i 0.0651359 + 0.453030i
\(89\) 0.746861 0.479979i 0.0791672 0.0508776i −0.500458 0.865761i \(-0.666835\pi\)
0.579626 + 0.814883i \(0.303199\pi\)
\(90\) −10.2084 + 11.7811i −1.07606 + 1.24184i
\(91\) −6.85387 −0.718481
\(92\) −0.978240 + 4.69500i −0.101989 + 0.489488i
\(93\) 20.3778 2.11308
\(94\) 3.81809 4.40631i 0.393806 0.454476i
\(95\) 4.00700 2.57514i 0.411109 0.264204i
\(96\) −0.447428 3.11193i −0.0456654 0.317610i
\(97\) −3.58447 7.84890i −0.363948 0.796935i −0.999687 0.0250304i \(-0.992032\pi\)
0.635739 0.771904i \(-0.280696\pi\)
\(98\) −0.142315 + 0.989821i −0.0143760 + 0.0999871i
\(99\) 28.3604 8.32736i 2.85032 0.836931i
\(100\) 0.107227 + 0.0689107i 0.0107227 + 0.00689107i
\(101\) −3.04782 + 6.67379i −0.303269 + 0.664067i −0.998502 0.0547176i \(-0.982574\pi\)
0.695232 + 0.718785i \(0.255301\pi\)
\(102\) −13.9132 4.08527i −1.37761 0.404502i
\(103\) −0.858301 0.990532i −0.0845709 0.0976001i 0.711887 0.702294i \(-0.247841\pi\)
−0.796458 + 0.604694i \(0.793295\pi\)
\(104\) −4.48833 5.17981i −0.440117 0.507922i
\(105\) 6.83070 + 2.00568i 0.666608 + 0.195734i
\(106\) −0.882439 + 1.93227i −0.0857100 + 0.187679i
\(107\) 5.99041 + 3.84981i 0.579115 + 0.372175i 0.797164 0.603763i \(-0.206333\pi\)
−0.218049 + 0.975938i \(0.569969\pi\)
\(108\) −11.7172 + 3.44049i −1.12749 + 0.331061i
\(109\) 0.390046 2.71283i 0.0373597 0.259842i −0.962578 0.271005i \(-0.912644\pi\)
0.999938 + 0.0111625i \(0.00355320\pi\)
\(110\) −4.03873 8.84359i −0.385078 0.843203i
\(111\) 3.05188 + 21.2263i 0.289672 + 2.01471i
\(112\) −0.841254 + 0.540641i −0.0794910 + 0.0510858i
\(113\) 0.236545 0.272987i 0.0222523 0.0256805i −0.744514 0.667606i \(-0.767319\pi\)
0.766767 + 0.641926i \(0.221864\pi\)
\(114\) 6.61323 0.619385
\(115\) −0.869798 10.8247i −0.0811091 1.00941i
\(116\) −9.38036 −0.870945
\(117\) −30.8989 + 35.6592i −2.85661 + 3.29670i
\(118\) −1.67554 + 1.07680i −0.154246 + 0.0991277i
\(119\) 0.656390 + 4.56529i 0.0601711 + 0.418499i
\(120\) 2.95737 + 6.47574i 0.269970 + 0.591151i
\(121\) −1.05799 + 7.35849i −0.0961810 + 0.668954i
\(122\) 5.92546 1.73987i 0.536466 0.157521i
\(123\) −0.0155117 0.00996879i −0.00139865 0.000898856i
\(124\) 2.69257 5.89591i 0.241800 0.529469i
\(125\) 10.5864 + 3.10845i 0.946876 + 0.278028i
\(126\) 4.50824 + 5.20279i 0.401626 + 0.463501i
\(127\) 4.54461 + 5.24476i 0.403269 + 0.465397i 0.920668 0.390347i \(-0.127645\pi\)
−0.517399 + 0.855744i \(0.673100\pi\)
\(128\) −0.959493 0.281733i −0.0848080 0.0249019i
\(129\) −6.48820 + 14.2072i −0.571255 + 1.25087i
\(130\) 13.0561 + 8.39065i 1.14510 + 0.735909i
\(131\) 1.09594 0.321798i 0.0957529 0.0281156i −0.233505 0.972356i \(-0.575020\pi\)
0.329258 + 0.944240i \(0.393201\pi\)
\(132\) 1.92103 13.3611i 0.167204 1.16293i
\(133\) −0.873822 1.91340i −0.0757700 0.165913i
\(134\) 0.414596 + 2.88358i 0.0358156 + 0.249103i
\(135\) 23.2627 14.9501i 2.00214 1.28670i
\(136\) −3.02037 + 3.48570i −0.258995 + 0.298896i
\(137\) 15.5240 1.32631 0.663153 0.748484i \(-0.269218\pi\)
0.663153 + 0.748484i \(0.269218\pi\)
\(138\) 7.10952 13.2964i 0.605202 1.13186i
\(139\) 2.73608 0.232072 0.116036 0.993245i \(-0.462981\pi\)
0.116036 + 0.993245i \(0.462981\pi\)
\(140\) 1.48286 1.71131i 0.125325 0.144632i
\(141\) −15.4204 + 9.91011i −1.29863 + 0.834582i
\(142\) −0.330341 2.29757i −0.0277216 0.192808i
\(143\) −12.2245 26.7678i −1.02226 2.23844i
\(144\) −0.979735 + 6.81421i −0.0816446 + 0.567851i
\(145\) 20.3804 5.98422i 1.69250 0.496963i
\(146\) −9.56528 6.14723i −0.791628 0.508748i
\(147\) 1.30603 2.85982i 0.107720 0.235874i
\(148\) 6.54466 + 1.92168i 0.537967 + 0.157962i
\(149\) −2.53543 2.92604i −0.207710 0.239710i 0.642330 0.766428i \(-0.277968\pi\)
−0.850040 + 0.526718i \(0.823422\pi\)
\(150\) −0.262421 0.302850i −0.0214266 0.0247276i
\(151\) −17.0314 5.00086i −1.38599 0.406965i −0.498143 0.867095i \(-0.665984\pi\)
−0.887851 + 0.460131i \(0.847803\pi\)
\(152\) 0.873822 1.91340i 0.0708764 0.155198i
\(153\) 26.7114 + 17.1664i 2.15949 + 1.38782i
\(154\) −4.11958 + 1.20962i −0.331966 + 0.0974739i
\(155\) −2.08875 + 14.5276i −0.167773 + 1.16688i
\(156\) 8.95139 + 19.6008i 0.716685 + 1.56932i
\(157\) 0.413046 + 2.87280i 0.0329647 + 0.229274i 0.999643 0.0267200i \(-0.00850625\pi\)
−0.966678 + 0.255994i \(0.917597\pi\)
\(158\) 13.7110 8.81151i 1.09079 0.701006i
\(159\) 4.37345 5.04723i 0.346837 0.400271i
\(160\) 2.26439 0.179016
\(161\) −4.78643 0.300115i −0.377224 0.0236524i
\(162\) 17.7405 1.39382
\(163\) 4.05703 4.68206i 0.317771 0.366727i −0.574283 0.818657i \(-0.694719\pi\)
0.892053 + 0.451930i \(0.149264\pi\)
\(164\) −0.00493388 + 0.00317081i −0.000385271 + 0.000247599i
\(165\) 4.34996 + 30.2547i 0.338644 + 2.35532i
\(166\) −1.53280 3.35637i −0.118968 0.260504i
\(167\) −1.20756 + 8.39877i −0.0934439 + 0.649917i 0.888237 + 0.459385i \(0.151930\pi\)
−0.981681 + 0.190531i \(0.938979\pi\)
\(168\) 3.01658 0.885747i 0.232734 0.0683368i
\(169\) 28.5820 + 18.3686i 2.19862 + 1.41297i
\(170\) 4.33855 9.50010i 0.332752 0.728625i
\(171\) −13.8944 4.07978i −1.06253 0.311988i
\(172\) 3.25326 + 3.75446i 0.248059 + 0.286275i
\(173\) 6.82853 + 7.88054i 0.519163 + 0.599147i 0.953421 0.301642i \(-0.0975348\pi\)
−0.434258 + 0.900789i \(0.642989\pi\)
\(174\) 28.2966 + 8.30862i 2.14516 + 0.629875i
\(175\) −0.0529492 + 0.115943i −0.00400259 + 0.00876444i
\(176\) −3.61192 2.32124i −0.272259 0.174970i
\(177\) 6.00816 1.76416i 0.451601 0.132602i
\(178\) −0.126347 + 0.878759i −0.00947007 + 0.0658658i
\(179\) −6.29654 13.7875i −0.470626 1.03053i −0.984935 0.172922i \(-0.944679\pi\)
0.514310 0.857605i \(-0.328048\pi\)
\(180\) −2.21850 15.4300i −0.165357 1.15009i
\(181\) 10.5094 6.75397i 0.781157 0.502019i −0.0882607 0.996097i \(-0.528131\pi\)
0.869417 + 0.494079i \(0.164494\pi\)
\(182\) 4.48833 5.17981i 0.332697 0.383953i
\(183\) −19.4157 −1.43525
\(184\) −2.90763 3.81388i −0.214354 0.281163i
\(185\) −15.4453 −1.13556
\(186\) −13.3446 + 15.4005i −0.978476 + 1.12922i
\(187\) −16.6590 + 10.7061i −1.21823 + 0.782909i
\(188\) 0.829750 + 5.77104i 0.0605157 + 0.420896i
\(189\) −5.07300 11.1083i −0.369007 0.808012i
\(190\) −0.677864 + 4.71465i −0.0491774 + 0.342036i
\(191\) 23.0895 6.77970i 1.67070 0.490562i 0.696748 0.717316i \(-0.254629\pi\)
0.973952 + 0.226754i \(0.0728112\pi\)
\(192\) 2.64484 + 1.69974i 0.190875 + 0.122668i
\(193\) 1.71013 3.74465i 0.123098 0.269546i −0.838044 0.545603i \(-0.816301\pi\)
0.961141 + 0.276057i \(0.0890279\pi\)
\(194\) 8.27913 + 2.43097i 0.594407 + 0.174534i
\(195\) −31.9528 36.8755i −2.28819 2.64071i
\(196\) −0.654861 0.755750i −0.0467758 0.0539821i
\(197\) 10.2185 + 3.00043i 0.728040 + 0.213772i 0.624689 0.780873i \(-0.285226\pi\)
0.103350 + 0.994645i \(0.467044\pi\)
\(198\) −12.2787 + 26.8866i −0.872609 + 1.91075i
\(199\) 18.9060 + 12.1501i 1.34021 + 0.861300i 0.996958 0.0779437i \(-0.0248354\pi\)
0.343251 + 0.939244i \(0.388472\pi\)
\(200\) −0.122298 + 0.0359099i −0.00864777 + 0.00253922i
\(201\) 1.30346 9.06575i 0.0919389 0.639449i
\(202\) −3.04782 6.67379i −0.214444 0.469567i
\(203\) −1.33496 9.28488i −0.0936961 0.651671i
\(204\) 12.1986 7.83958i 0.854075 0.548880i
\(205\) 0.00869684 0.0100367i 0.000607414 0.000700993i
\(206\) 1.31066 0.0913182
\(207\) −23.1398 + 23.5498i −1.60833 + 1.63683i
\(208\) 6.85387 0.475230
\(209\) 5.91428 6.82544i 0.409099 0.472125i
\(210\) −5.98895 + 3.84886i −0.413277 + 0.265597i
\(211\) −3.04477 21.1768i −0.209610 1.45787i −0.774431 0.632659i \(-0.781964\pi\)
0.564820 0.825214i \(-0.308945\pi\)
\(212\) −0.882439 1.93227i −0.0606061 0.132709i
\(213\) −1.03857 + 7.22339i −0.0711614 + 0.494939i
\(214\) −6.83238 + 2.00617i −0.467052 + 0.137139i
\(215\) −9.46342 6.08177i −0.645400 0.414773i
\(216\) 5.07300 11.1083i 0.345174 0.755826i
\(217\) 6.21909 + 1.82609i 0.422180 + 0.123963i
\(218\) 1.79480 + 2.07130i 0.121559 + 0.140286i
\(219\) 23.4095 + 27.0160i 1.58187 + 1.82557i
\(220\) 9.32835 + 2.73905i 0.628917 + 0.184667i
\(221\) 13.1320 28.7550i 0.883351 1.93427i
\(222\) −18.0403 11.5938i −1.21079 0.778126i
\(223\) −11.7796 + 3.45880i −0.788819 + 0.231618i −0.651239 0.758872i \(-0.725751\pi\)
−0.137580 + 0.990491i \(0.543932\pi\)
\(224\) 0.142315 0.989821i 0.00950881 0.0661352i
\(225\) 0.364517 + 0.798182i 0.0243012 + 0.0532121i
\(226\) 0.0514061 + 0.357537i 0.00341948 + 0.0237830i
\(227\) 2.41028 1.54899i 0.159976 0.102810i −0.458204 0.888847i \(-0.651507\pi\)
0.618179 + 0.786037i \(0.287871\pi\)
\(228\) −4.33074 + 4.99794i −0.286810 + 0.330997i
\(229\) 1.45679 0.0962675 0.0481337 0.998841i \(-0.484673\pi\)
0.0481337 + 0.998841i \(0.484673\pi\)
\(230\) 8.75039 + 6.43135i 0.576984 + 0.424071i
\(231\) 13.4985 0.888133
\(232\) 6.14283 7.08920i 0.403296 0.465429i
\(233\) −2.45342 + 1.57671i −0.160729 + 0.103294i −0.618533 0.785759i \(-0.712273\pi\)
0.457804 + 0.889053i \(0.348636\pi\)
\(234\) −6.71498 46.7037i −0.438972 3.05312i
\(235\) −5.48442 12.0092i −0.357764 0.783394i
\(236\) 0.283451 1.97144i 0.0184511 0.128330i
\(237\) −49.1650 + 14.4361i −3.19361 + 0.937728i
\(238\) −3.88006 2.49356i −0.251507 0.161634i
\(239\) 5.93612 12.9983i 0.383976 0.840789i −0.614671 0.788783i \(-0.710711\pi\)
0.998647 0.0520058i \(-0.0165614\pi\)
\(240\) −6.83070 2.00568i −0.440920 0.129466i
\(241\) −0.551565 0.636540i −0.0355294 0.0410031i 0.737707 0.675121i \(-0.235909\pi\)
−0.773236 + 0.634118i \(0.781363\pi\)
\(242\) −4.86834 5.61836i −0.312949 0.361162i
\(243\) −18.3638 5.39209i −1.17804 0.345903i
\(244\) −2.56544 + 5.61754i −0.164236 + 0.359626i
\(245\) 1.90493 + 1.22422i 0.121701 + 0.0782126i
\(246\) 0.0176919 0.00519482i 0.00112800 0.000331210i
\(247\) −2.05176 + 14.2703i −0.130550 + 0.907999i
\(248\) 2.69257 + 5.89591i 0.170979 + 0.374391i
\(249\) 1.65092 + 11.4824i 0.104623 + 0.727668i
\(250\) −9.28183 + 5.96507i −0.587034 + 0.377264i
\(251\) −19.5114 + 22.5174i −1.23155 + 1.42129i −0.358589 + 0.933495i \(0.616742\pi\)
−0.872961 + 0.487790i \(0.837803\pi\)
\(252\) −6.88428 −0.433669
\(253\) −7.36491 19.2287i −0.463028 1.20890i
\(254\) −6.93981 −0.435442
\(255\) −21.5023 + 24.8149i −1.34652 + 1.55397i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 0.889072 + 6.18363i 0.0554588 + 0.385724i 0.998580 + 0.0532749i \(0.0169660\pi\)
−0.943121 + 0.332449i \(0.892125\pi\)
\(258\) −6.48820 14.2072i −0.403938 0.884501i
\(259\) −0.970723 + 6.75153i −0.0603178 + 0.419519i
\(260\) −14.8912 + 4.37244i −0.923511 + 0.271167i
\(261\) −54.3256 34.9130i −3.36267 2.16106i
\(262\) −0.474491 + 1.03899i −0.0293142 + 0.0641891i
\(263\) 18.1065 + 5.31656i 1.11650 + 0.327833i 0.787387 0.616459i \(-0.211433\pi\)
0.329109 + 0.944292i \(0.393252\pi\)
\(264\) 8.83961 + 10.2015i 0.544040 + 0.627856i
\(265\) 3.14994 + 3.63523i 0.193499 + 0.223310i
\(266\) 2.01829 + 0.592622i 0.123749 + 0.0363360i
\(267\) 1.15949 2.53893i 0.0709598 0.155380i
\(268\) −2.45076 1.57501i −0.149704 0.0962091i
\(269\) 12.3421 3.62397i 0.752511 0.220957i 0.117088 0.993122i \(-0.462644\pi\)
0.635423 + 0.772164i \(0.280826\pi\)
\(270\) −3.93536 + 27.3710i −0.239498 + 1.66575i
\(271\) 0.620962 + 1.35972i 0.0377207 + 0.0825969i 0.927554 0.373688i \(-0.121907\pi\)
−0.889834 + 0.456285i \(0.849180\pi\)
\(272\) −0.656390 4.56529i −0.0397995 0.276811i
\(273\) −18.1274 + 11.6498i −1.09712 + 0.705076i
\(274\) −10.1661 + 11.7323i −0.614154 + 0.708772i
\(275\) −0.547254 −0.0330007
\(276\) 5.39297 + 14.0803i 0.324619 + 0.847533i
\(277\) 26.9113 1.61694 0.808472 0.588535i \(-0.200295\pi\)
0.808472 + 0.588535i \(0.200295\pi\)
\(278\) −1.79175 + 2.06779i −0.107462 + 0.124018i
\(279\) 37.5380 24.1242i 2.24734 1.44428i
\(280\) 0.322256 + 2.24134i 0.0192585 + 0.133946i
\(281\) −0.399497 0.874777i −0.0238320 0.0521848i 0.897342 0.441336i \(-0.145495\pi\)
−0.921174 + 0.389152i \(0.872768\pi\)
\(282\) 2.60867 18.1437i 0.155344 1.08044i
\(283\) −11.7791 + 3.45865i −0.700193 + 0.205595i −0.612405 0.790544i \(-0.709798\pi\)
−0.0877880 + 0.996139i \(0.527980\pi\)
\(284\) 1.95271 + 1.25493i 0.115872 + 0.0744666i
\(285\) 6.22081 13.6217i 0.368489 0.806878i
\(286\) 28.2351 + 8.29057i 1.66958 + 0.490232i
\(287\) −0.00384070 0.00443240i −0.000226709 0.000261636i
\(288\) −4.50824 5.20279i −0.265651 0.306577i
\(289\) −4.09964 1.20376i −0.241155 0.0708096i
\(290\) −8.82374 + 19.3213i −0.518148 + 1.13459i
\(291\) −22.8214 14.6664i −1.33781 0.859761i
\(292\) 10.9097 3.20337i 0.638441 0.187463i
\(293\) 2.26478 15.7519i 0.132310 0.920236i −0.810223 0.586122i \(-0.800654\pi\)
0.942533 0.334114i \(-0.108437\pi\)
\(294\) 1.30603 + 2.85982i 0.0761695 + 0.166788i
\(295\) 0.641843 + 4.46412i 0.0373695 + 0.259911i
\(296\) −5.73815 + 3.68769i −0.333523 + 0.214342i
\(297\) 34.3355 39.6253i 1.99235 2.29929i
\(298\) 3.87170 0.224282
\(299\) 26.4857 + 19.4665i 1.53171 + 1.12577i
\(300\) 0.400728 0.0231361
\(301\) −3.25326 + 3.75446i −0.187515 + 0.216404i
\(302\) 14.9326 9.59659i 0.859274 0.552222i
\(303\) 3.28269 + 22.8316i 0.188586 + 1.31164i
\(304\) 0.873822 + 1.91340i 0.0501171 + 0.109741i
\(305\) 1.99013 13.8417i 0.113955 0.792571i
\(306\) −30.4657 + 8.94555i −1.74161 + 0.511383i
\(307\) −2.22163 1.42775i −0.126795 0.0814862i 0.475706 0.879604i \(-0.342193\pi\)
−0.602501 + 0.798118i \(0.705829\pi\)
\(308\) 1.78359 3.90551i 0.101629 0.222537i
\(309\) −3.95371 1.16091i −0.224919 0.0660421i
\(310\) −9.61137 11.0921i −0.545889 0.629990i
\(311\) −7.23073 8.34470i −0.410017 0.473185i 0.512753 0.858536i \(-0.328626\pi\)
−0.922770 + 0.385351i \(0.874080\pi\)
\(312\) −20.6752 6.07079i −1.17050 0.343691i
\(313\) 1.30081 2.84838i 0.0735263 0.161000i −0.869300 0.494285i \(-0.835430\pi\)
0.942826 + 0.333285i \(0.108157\pi\)
\(314\) −2.44160 1.56912i −0.137788 0.0885508i
\(315\) 14.9572 4.39184i 0.842745 0.247452i
\(316\) −2.31949 + 16.1324i −0.130481 + 0.907518i
\(317\) 7.40142 + 16.2068i 0.415705 + 0.910267i 0.995434 + 0.0954572i \(0.0304313\pi\)
−0.579729 + 0.814810i \(0.696841\pi\)
\(318\) 0.950441 + 6.61046i 0.0532981 + 0.370696i
\(319\) 33.8811 21.7741i 1.89698 1.21911i
\(320\) −1.48286 + 1.71131i −0.0828944 + 0.0956652i
\(321\) 22.3873 1.24954
\(322\) 3.36126 3.42081i 0.187316 0.190634i
\(323\) 9.70180 0.539823
\(324\) −11.6175 + 13.4073i −0.645418 + 0.744852i
\(325\) 0.734920 0.472305i 0.0407660 0.0261987i
\(326\) 0.881676 + 6.13219i 0.0488315 + 0.339631i
\(327\) −3.57949 7.83798i −0.197946 0.433441i
\(328\) 0.000834664 0.00580521i 4.60866e−5 0.000320539i
\(329\) −5.59421 + 1.64261i −0.308419 + 0.0905600i
\(330\) −25.7136 16.5251i −1.41548 0.909677i
\(331\) 10.5019 22.9958i 0.577234 1.26397i −0.365621 0.930764i \(-0.619144\pi\)
0.942855 0.333202i \(-0.108129\pi\)
\(332\) 3.54034 + 1.03954i 0.194302 + 0.0570521i
\(333\) 30.7505 + 35.4880i 1.68512 + 1.94473i
\(334\) −5.55659 6.41264i −0.304043 0.350884i
\(335\) 6.32947 + 1.85850i 0.345816 + 0.101541i
\(336\) −1.30603 + 2.85982i −0.0712500 + 0.156016i
\(337\) −22.5333 14.4813i −1.22747 0.788844i −0.243971 0.969783i \(-0.578450\pi\)
−0.983494 + 0.180939i \(0.942086\pi\)
\(338\) −32.5993 + 9.57201i −1.77317 + 0.520649i
\(339\) 0.161617 1.12407i 0.00877784 0.0610512i
\(340\) 4.33855 + 9.50010i 0.235291 + 0.515216i
\(341\) 3.96047 + 27.5457i 0.214472 + 1.49168i
\(342\) 12.1822 7.82904i 0.658739 0.423346i
\(343\) 0.654861 0.755750i 0.0353592 0.0408066i
\(344\) −4.96787 −0.267849
\(345\) −20.6997 27.1513i −1.11443 1.46178i
\(346\) −10.4275 −0.560583
\(347\) 1.44414 1.66663i 0.0775256 0.0894693i −0.715662 0.698447i \(-0.753875\pi\)
0.793187 + 0.608978i \(0.208420\pi\)
\(348\) −24.8095 + 15.9441i −1.32993 + 0.854695i
\(349\) 1.03613 + 7.20647i 0.0554630 + 0.385754i 0.998579 + 0.0532899i \(0.0169708\pi\)
−0.943116 + 0.332464i \(0.892120\pi\)
\(350\) −0.0529492 0.115943i −0.00283026 0.00619740i
\(351\) −11.9116 + 82.8468i −0.635792 + 4.42203i
\(352\) 4.11958 1.20962i 0.219575 0.0644729i
\(353\) −16.0502 10.3148i −0.854264 0.549002i 0.0386380 0.999253i \(-0.487698\pi\)
−0.892902 + 0.450251i \(0.851334\pi\)
\(354\) −2.60125 + 5.69594i −0.138255 + 0.302736i
\(355\) −5.04318 1.48081i −0.267664 0.0785934i
\(356\) −0.581383 0.670951i −0.0308132 0.0355604i
\(357\) 9.49583 + 10.9588i 0.502573 + 0.580000i
\(358\) 14.5433 + 4.27029i 0.768635 + 0.225692i
\(359\) −0.763993 + 1.67291i −0.0403220 + 0.0882929i −0.928721 0.370779i \(-0.879091\pi\)
0.888399 + 0.459072i \(0.151818\pi\)
\(360\) 13.1140 + 8.42788i 0.691171 + 0.444188i
\(361\) 13.9849 4.10634i 0.736048 0.216123i
\(362\) −1.77787 + 12.3654i −0.0934429 + 0.649910i
\(363\) 9.70927 + 21.2603i 0.509604 + 1.11588i
\(364\) 0.975407 + 6.78411i 0.0511252 + 0.355584i
\(365\) −21.6595 + 13.9197i −1.13371 + 0.728592i
\(366\) 12.7146 14.6734i 0.664601 0.766991i
\(367\) −9.11542 −0.475821 −0.237911 0.971287i \(-0.576463\pi\)
−0.237911 + 0.971287i \(0.576463\pi\)
\(368\) 4.78643 + 0.300115i 0.249510 + 0.0156446i
\(369\) −0.0403757 −0.00210187
\(370\) 10.1145 11.6728i 0.525829 0.606839i
\(371\) 1.78702 1.14845i 0.0927774 0.0596244i
\(372\) −2.90007 20.1704i −0.150361 1.04579i
\(373\) −8.32273 18.2242i −0.430935 0.943615i −0.993174 0.116641i \(-0.962787\pi\)
0.562240 0.826974i \(-0.309940\pi\)
\(374\) 2.81821 19.6011i 0.145726 1.01355i
\(375\) 33.2829 9.77273i 1.71872 0.504662i
\(376\) −4.90483 3.15214i −0.252947 0.162559i
\(377\) −26.7078 + 58.4818i −1.37552 + 3.01197i
\(378\) 11.7172 + 3.44049i 0.602669 + 0.176960i
\(379\) −9.19772 10.6147i −0.472455 0.545242i 0.468638 0.883390i \(-0.344745\pi\)
−0.941093 + 0.338148i \(0.890199\pi\)
\(380\) −3.11918 3.59973i −0.160011 0.184662i
\(381\) 20.9345 + 6.14691i 1.07251 + 0.314916i
\(382\) −9.99668 + 21.8897i −0.511475 + 1.11997i
\(383\) 5.70638 + 3.66727i 0.291583 + 0.187389i 0.678251 0.734830i \(-0.262738\pi\)
−0.386669 + 0.922219i \(0.626374\pi\)
\(384\) −3.01658 + 0.885747i −0.153939 + 0.0452006i
\(385\) −1.38361 + 9.62320i −0.0705152 + 0.490444i
\(386\) 1.71013 + 3.74465i 0.0870431 + 0.190598i
\(387\) 4.86719 + 33.8521i 0.247413 + 1.72080i
\(388\) −7.25888 + 4.66500i −0.368514 + 0.236830i
\(389\) −0.158095 + 0.182451i −0.00801573 + 0.00925064i −0.759743 0.650223i \(-0.774675\pi\)
0.751728 + 0.659474i \(0.229221\pi\)
\(390\) 48.7932 2.47074
\(391\) 10.4299 19.5062i 0.527462 0.986469i
\(392\) 1.00000 0.0505076
\(393\) 2.35162 2.71392i 0.118624 0.136899i
\(394\) −8.95928 + 5.75778i −0.451362 + 0.290073i
\(395\) −5.25222 36.5300i −0.264268 1.83802i
\(396\) −12.2787 26.8866i −0.617028 1.35110i
\(397\) 4.72193 32.8417i 0.236987 1.64828i −0.429722 0.902961i \(-0.641388\pi\)
0.666709 0.745318i \(-0.267702\pi\)
\(398\) −21.5632 + 6.33154i −1.08087 + 0.317371i
\(399\) −5.56340 3.57538i −0.278518 0.178993i
\(400\) 0.0529492 0.115943i 0.00264746 0.00579713i
\(401\) −4.37144 1.28357i −0.218299 0.0640984i 0.170754 0.985314i \(-0.445380\pi\)
−0.389053 + 0.921215i \(0.627198\pi\)
\(402\) 5.99786 + 6.92190i 0.299146 + 0.345233i
\(403\) −29.0918 33.5737i −1.44916 1.67242i
\(404\) 7.03961 + 2.06702i 0.350234 + 0.102838i
\(405\) 16.6878 36.5411i 0.829222 1.81574i
\(406\) 7.89126 + 5.07141i 0.391637 + 0.251690i
\(407\) −28.0995 + 8.25076i −1.39284 + 0.408975i
\(408\) −2.06364 + 14.3529i −0.102165 + 0.710576i
\(409\) −12.5692 27.5227i −0.621508 1.36091i −0.914418 0.404772i \(-0.867351\pi\)
0.292910 0.956140i \(-0.405376\pi\)
\(410\) 0.00189000 + 0.0131453i 9.33406e−5 + 0.000649198i
\(411\) 41.0585 26.3867i 2.02527 1.30156i
\(412\) −0.858301 + 0.990532i −0.0422855 + 0.0488000i
\(413\) 1.99172 0.0980059
\(414\) −2.64439 32.9098i −0.129965 1.61743i
\(415\) −8.35516 −0.410139
\(416\) −4.48833 + 5.17981i −0.220058 + 0.253961i
\(417\) 7.23650 4.65062i 0.354373 0.227742i
\(418\) 1.28529 + 8.93942i 0.0628658 + 0.437241i
\(419\) 0.781572 + 1.71140i 0.0381823 + 0.0836075i 0.927762 0.373172i \(-0.121730\pi\)
−0.889580 + 0.456780i \(0.849003\pi\)
\(420\) 1.01315 7.04661i 0.0494367 0.343840i
\(421\) 2.04448 0.600313i 0.0996417 0.0292574i −0.231532 0.972827i \(-0.574374\pi\)
0.331173 + 0.943570i \(0.392556\pi\)
\(422\) 17.9983 + 11.5668i 0.876142 + 0.563062i
\(423\) −16.6739 + 36.5108i −0.810714 + 1.77522i
\(424\) 2.03819 + 0.598466i 0.0989832 + 0.0290641i
\(425\) −0.384980 0.444290i −0.0186743 0.0215512i
\(426\) −4.77896 5.51521i −0.231541 0.267213i
\(427\) −5.92546 1.73987i −0.286753 0.0841983i
\(428\) 2.95810 6.47732i 0.142985 0.313093i
\(429\) −77.8300 50.0183i −3.75767 2.41491i
\(430\) 10.7935 3.16926i 0.520509 0.152835i
\(431\) −3.49141 + 24.2833i −0.168175 + 1.16969i 0.714477 + 0.699659i \(0.246665\pi\)
−0.882652 + 0.470026i \(0.844244\pi\)
\(432\) 5.07300 + 11.1083i 0.244075 + 0.534450i
\(433\) 0.873779 + 6.07726i 0.0419911 + 0.292055i 0.999986 + 0.00526972i \(0.00167741\pi\)
−0.957995 + 0.286785i \(0.907413\pi\)
\(434\) −5.45271 + 3.50424i −0.261738 + 0.168209i
\(435\) 43.7313 50.4686i 2.09675 2.41978i
\(436\) −2.74073 −0.131257
\(437\) −2.05772 + 9.87590i −0.0984342 + 0.472428i
\(438\) −35.7473 −1.70807
\(439\) −9.93850 + 11.4696i −0.474339 + 0.547416i −0.941613 0.336696i \(-0.890690\pi\)
0.467275 + 0.884112i \(0.345236\pi\)
\(440\) −8.17880 + 5.25620i −0.389909 + 0.250579i
\(441\) −0.979735 6.81421i −0.0466540 0.324486i
\(442\) 13.1320 + 28.7550i 0.624624 + 1.36773i
\(443\) 4.07408 28.3359i 0.193566 1.34628i −0.628910 0.777478i \(-0.716499\pi\)
0.822476 0.568800i \(-0.192592\pi\)
\(444\) 20.5759 6.04164i 0.976490 0.286723i
\(445\) 1.69119 + 1.08686i 0.0801699 + 0.0515221i
\(446\) 5.10000 11.1674i 0.241492 0.528794i
\(447\) −11.6793 3.42935i −0.552412 0.162203i
\(448\) 0.654861 + 0.755750i 0.0309393 + 0.0357058i
\(449\) −6.20654 7.16272i −0.292905 0.338030i 0.590156 0.807289i \(-0.299066\pi\)
−0.883060 + 0.469260i \(0.844521\pi\)
\(450\) −0.841933 0.247214i −0.0396891 0.0116538i
\(451\) 0.0104606 0.0229054i 0.000492569 0.00107858i
\(452\) −0.303873 0.195287i −0.0142930 0.00918553i
\(453\) −53.5454 + 15.7224i −2.51578 + 0.738701i
\(454\) −0.407746 + 2.83594i −0.0191365 + 0.133097i
\(455\) −6.44717 14.1173i −0.302248 0.661831i
\(456\) −0.941160 6.54591i −0.0440739 0.306541i
\(457\) −20.6052 + 13.2421i −0.963869 + 0.619441i −0.925066 0.379806i \(-0.875991\pi\)
−0.0388030 + 0.999247i \(0.512354\pi\)
\(458\) −0.953995 + 1.10097i −0.0445773 + 0.0514449i
\(459\) 56.3241 2.62898
\(460\) −10.5908 + 2.40147i −0.493798 + 0.111969i
\(461\) 32.5363 1.51537 0.757684 0.652622i \(-0.226331\pi\)
0.757684 + 0.652622i \(0.226331\pi\)
\(462\) −8.83961 + 10.2015i −0.411256 + 0.474615i
\(463\) −31.8227 + 20.4512i −1.47893 + 0.950447i −0.481674 + 0.876350i \(0.659971\pi\)
−0.997251 + 0.0740969i \(0.976393\pi\)
\(464\) 1.33496 + 9.28488i 0.0619742 + 0.431040i
\(465\) 19.1686 + 41.9735i 0.888924 + 1.94647i
\(466\) 0.415044 2.88670i 0.0192266 0.133724i
\(467\) −22.9571 + 6.74081i −1.06233 + 0.311927i −0.765788 0.643093i \(-0.777651\pi\)
−0.296539 + 0.955021i \(0.595833\pi\)
\(468\) 39.6937 + 25.5096i 1.83484 + 1.17918i
\(469\) 1.21020 2.64997i 0.0558818 0.122364i
\(470\) 12.6675 + 3.71951i 0.584307 + 0.171568i
\(471\) 5.97544 + 6.89602i 0.275334 + 0.317752i
\(472\) 1.30430 + 1.50524i 0.0600351 + 0.0692842i
\(473\) −20.4655 6.00923i −0.941007 0.276304i
\(474\) 21.2861 46.6101i 0.977704 2.14087i
\(475\) 0.225551 + 0.144953i 0.0103490 + 0.00665090i
\(476\) 4.42541 1.29942i 0.202838 0.0595587i
\(477\) 2.08119 14.4750i 0.0952910 0.662763i
\(478\) 5.93612 + 12.9983i 0.271512 + 0.594528i
\(479\) 3.95353 + 27.4974i 0.180641 + 1.25639i 0.855251 + 0.518214i \(0.173403\pi\)
−0.674610 + 0.738174i \(0.735688\pi\)
\(480\) 5.98895 3.84886i 0.273357 0.175676i
\(481\) 30.6147 35.3312i 1.39591 1.61097i
\(482\) 0.842263 0.0383640
\(483\) −13.1695 + 7.34191i −0.599231 + 0.334069i
\(484\) 7.43416 0.337916
\(485\) 12.7951 14.7663i 0.580995 0.670504i
\(486\) 16.1008 10.3473i 0.730346 0.469365i
\(487\) 2.62572 + 18.2623i 0.118983 + 0.827543i 0.958680 + 0.284488i \(0.0918235\pi\)
−0.839697 + 0.543055i \(0.817267\pi\)
\(488\) −2.56544 5.61754i −0.116132 0.254294i
\(489\) 2.77193 19.2792i 0.125351 0.871834i
\(490\) −2.17267 + 0.637952i −0.0981510 + 0.0288197i
\(491\) −3.01091 1.93500i −0.135881 0.0873252i 0.470935 0.882168i \(-0.343917\pi\)
−0.606815 + 0.794843i \(0.707553\pi\)
\(492\) −0.00765977 + 0.0167726i −0.000345329 + 0.000756166i
\(493\) 41.5119 + 12.1890i 1.86960 + 0.548965i
\(494\) −9.44117 10.8957i −0.424778 0.490220i
\(495\) 43.8299 + 50.5824i 1.97001 + 2.27351i
\(496\) −6.21909 1.82609i −0.279246 0.0819939i
\(497\) −0.964260 + 2.11143i −0.0432530 + 0.0947108i
\(498\) −9.75895 6.27169i −0.437309 0.281041i
\(499\) 7.08866 2.08142i 0.317332 0.0931770i −0.119188 0.992872i \(-0.538029\pi\)
0.436520 + 0.899695i \(0.356211\pi\)
\(500\) 1.57021 10.9210i 0.0702218 0.488403i
\(501\) 11.0819 + 24.2659i 0.495102 + 1.08412i
\(502\) −4.24024 29.4915i −0.189251 1.31627i
\(503\) −29.7920 + 19.1461i −1.32836 + 0.853684i −0.995990 0.0894651i \(-0.971484\pi\)
−0.332369 + 0.943149i \(0.607848\pi\)
\(504\) 4.50824 5.20279i 0.200813 0.231751i
\(505\) −16.6134 −0.739286
\(506\) 19.3551 + 7.02611i 0.860439 + 0.312349i
\(507\) 106.817 4.74389
\(508\) 4.54461 5.24476i 0.201634 0.232699i
\(509\) −3.11011 + 1.99875i −0.137853 + 0.0885928i −0.607750 0.794129i \(-0.707928\pi\)
0.469897 + 0.882722i \(0.344291\pi\)
\(510\) −4.67289 32.5006i −0.206919 1.43915i
\(511\) 4.72338 + 10.3428i 0.208950 + 0.457537i
\(512\) −0.142315 + 0.989821i −0.00628949 + 0.0437443i
\(513\) −24.6471 + 7.23704i −1.08820 + 0.319523i
\(514\) −5.25549 3.37750i −0.231810 0.148975i
\(515\) 1.23289 2.69965i 0.0543276 0.118961i
\(516\) 14.9859 + 4.40027i 0.659719 + 0.193711i
\(517\) −16.3930 18.9185i −0.720962 0.832035i
\(518\) −4.46677 5.15493i −0.196259 0.226495i
\(519\) 31.4552 + 9.23608i 1.38073 + 0.405419i
\(520\) 6.44717 14.1173i 0.282727 0.619086i
\(521\) 15.4405 + 9.92298i 0.676459 + 0.434734i 0.833249 0.552898i \(-0.186478\pi\)
−0.156790 + 0.987632i \(0.550115\pi\)
\(522\) 61.9612 18.1934i 2.71197 0.796306i
\(523\) −3.43620 + 23.8993i −0.150255 + 1.04504i 0.765537 + 0.643392i \(0.222473\pi\)
−0.915792 + 0.401653i \(0.868436\pi\)
\(524\) −0.474491 1.03899i −0.0207282 0.0453885i
\(525\) 0.0570296 + 0.396649i 0.00248898 + 0.0173112i
\(526\) −15.8752 + 10.2024i −0.692193 + 0.444846i
\(527\) −19.5770 + 22.5930i −0.852787 + 0.984168i
\(528\) −13.4985 −0.587445
\(529\) 17.6441 + 14.7542i 0.767133 + 0.641488i
\(530\) −4.81009 −0.208937
\(531\) 8.97914 10.3625i 0.389661 0.449693i
\(532\) −1.76957 + 1.13723i −0.0767206 + 0.0493053i
\(533\) 0.00572068 + 0.0397882i 0.000247790 + 0.00172342i
\(534\) 1.15949 + 2.53893i 0.0501761 + 0.109870i
\(535\) −2.29473 + 15.9602i −0.0992098 + 0.690019i
\(536\) 2.79522 0.820751i 0.120735 0.0354511i
\(537\) −40.0885 25.7633i −1.72995 1.11177i
\(538\) −5.34355 + 11.7007i −0.230377 + 0.504454i
\(539\) 4.11958 + 1.20962i 0.177443 + 0.0521020i
\(540\) −18.1085 20.8983i −0.779267 0.899322i
\(541\) 12.6068 + 14.5491i 0.542011 + 0.625514i 0.959003 0.283396i \(-0.0914612\pi\)
−0.416992 + 0.908910i \(0.636916\pi\)
\(542\) −1.43425 0.421133i −0.0616062 0.0180892i
\(543\) 16.3157 35.7264i 0.700173 1.53316i
\(544\) 3.88006 + 2.49356i 0.166356 + 0.106911i
\(545\) 5.95469 1.74845i 0.255071 0.0748956i
\(546\) 3.06661 21.3287i 0.131239 0.912786i
\(547\) 5.24169 + 11.4777i 0.224118 + 0.490751i 0.987971 0.154640i \(-0.0494218\pi\)
−0.763853 + 0.645391i \(0.776695\pi\)
\(548\) −2.20930 15.3660i −0.0943765 0.656403i
\(549\) −35.7656 + 22.9852i −1.52644 + 0.980983i
\(550\) 0.358375 0.413587i 0.0152812 0.0176354i
\(551\) −19.7315 −0.840591
\(552\) −14.1728 5.14489i −0.603235 0.218981i
\(553\) −16.2983 −0.693073
\(554\) −17.6232 + 20.3382i −0.748736 + 0.864088i
\(555\) −40.8503 + 26.2529i −1.73400 + 1.11437i
\(556\) −0.389385 2.70823i −0.0165136 0.114855i
\(557\) −16.6954 36.5578i −0.707406 1.54900i −0.830755 0.556639i \(-0.812091\pi\)
0.123349 0.992363i \(-0.460636\pi\)
\(558\) −6.35030 + 44.1673i −0.268829 + 1.86975i
\(559\) 32.6699 9.59274i 1.38179 0.405730i
\(560\) −1.90493 1.22422i −0.0804978 0.0517328i
\(561\) −25.8629 + 56.6319i −1.09193 + 2.39100i
\(562\) 0.922728 + 0.270937i 0.0389229 + 0.0114288i
\(563\) 6.79951 + 7.84705i 0.286565 + 0.330714i 0.880720 0.473637i \(-0.157059\pi\)
−0.594155 + 0.804350i \(0.702514\pi\)
\(564\) 12.0038 + 13.8531i 0.505451 + 0.583322i
\(565\) 0.784797 + 0.230437i 0.0330167 + 0.00969457i
\(566\) 5.09978 11.1670i 0.214360 0.469383i
\(567\) −14.9242 9.59122i −0.626758 0.402793i
\(568\) −2.22717 + 0.653956i −0.0934500 + 0.0274394i
\(569\) 3.06403 21.3108i 0.128451 0.893396i −0.819068 0.573697i \(-0.805509\pi\)
0.947519 0.319700i \(-0.103582\pi\)
\(570\) 6.22081 + 13.6217i 0.260561 + 0.570549i
\(571\) −0.656661 4.56718i −0.0274804 0.191130i 0.971457 0.237215i \(-0.0762347\pi\)
−0.998938 + 0.0460848i \(0.985326\pi\)
\(572\) −24.7557 + 15.9095i −1.03509 + 0.665209i
\(573\) 49.5444 57.1773i 2.06975 2.38862i
\(574\) 0.00586491 0.000244797
\(575\) 0.533916 0.297656i 0.0222658 0.0124131i
\(576\) 6.88428 0.286845
\(577\) 13.8894 16.0292i 0.578224 0.667306i −0.388998 0.921239i \(-0.627179\pi\)
0.967222 + 0.253933i \(0.0817242\pi\)
\(578\) 3.59444 2.31001i 0.149509 0.0960836i
\(579\) −1.84191 12.8108i −0.0765472 0.532397i
\(580\) −8.82374 19.3213i −0.366386 0.802273i
\(581\) −0.525114 + 3.65225i −0.0217854 + 0.151521i
\(582\) 26.0290 7.64280i 1.07894 0.316804i
\(583\) 7.67257 + 4.93086i 0.317765 + 0.204215i
\(584\) −4.72338 + 10.3428i −0.195455 + 0.427986i
\(585\) −102.515 30.1011i −4.23847 1.24453i
\(586\) 10.4214 + 12.0269i 0.430503 + 0.496827i
\(587\) 22.0274 + 25.4210i 0.909167 + 1.04924i 0.998582 + 0.0532406i \(0.0169550\pi\)
−0.0894143 + 0.995995i \(0.528500\pi\)
\(588\) −3.01658 0.885747i −0.124402 0.0365276i
\(589\) 5.66381 12.4020i 0.233373 0.511016i
\(590\) −3.79407 2.43830i −0.156199 0.100383i
\(591\) 32.1263 9.43313i 1.32150 0.388027i
\(592\) 0.970723 6.75153i 0.0398965 0.277486i
\(593\) 12.8393 + 28.1142i 0.527248 + 1.15451i 0.966622 + 0.256208i \(0.0824731\pi\)
−0.439374 + 0.898304i \(0.644800\pi\)
\(594\) 7.46182 + 51.8981i 0.306162 + 2.12940i
\(595\) −8.78597 + 5.64640i −0.360190 + 0.231480i
\(596\) −2.53543 + 2.92604i −0.103855 + 0.119855i
\(597\) 70.6553 2.89173
\(598\) −32.0562 + 7.26877i −1.31088 + 0.297242i
\(599\) −16.0000 −0.653741 −0.326870 0.945069i \(-0.605994\pi\)
−0.326870 + 0.945069i \(0.605994\pi\)
\(600\) −0.262421 + 0.302850i −0.0107133 + 0.0123638i
\(601\) 7.97517 5.12533i 0.325314 0.209067i −0.367782 0.929912i \(-0.619883\pi\)
0.693096 + 0.720846i \(0.256246\pi\)
\(602\) −0.707001 4.91730i −0.0288152 0.200414i
\(603\) −8.33135 18.2431i −0.339279 0.742917i
\(604\) −2.52614 + 17.5697i −0.102787 + 0.714902i
\(605\) −16.1519 + 4.74264i −0.656670 + 0.192816i
\(606\) −19.4047 12.4706i −0.788261 0.506585i
\(607\) 0.549048 1.20225i 0.0222852 0.0487978i −0.898162 0.439664i \(-0.855097\pi\)
0.920447 + 0.390867i \(0.127825\pi\)
\(608\) −2.01829 0.592622i −0.0818523 0.0240340i
\(609\) −19.3126 22.2879i −0.782586 0.903153i
\(610\) 9.15757 + 10.5684i 0.370779 + 0.427902i
\(611\) 38.3420 + 11.2582i 1.55115 + 0.455459i
\(612\) 13.1902 28.8826i 0.533183 1.16751i
\(613\) 32.3361 + 20.7812i 1.30604 + 0.839343i 0.993856 0.110678i \(-0.0353022\pi\)
0.312187 + 0.950021i \(0.398939\pi\)
\(614\) 2.53388 0.744015i 0.102259 0.0300260i
\(615\) 0.00594203 0.0413278i 0.000239606 0.00166650i
\(616\) 1.78359 + 3.90551i 0.0718627 + 0.157357i
\(617\) 2.11527 + 14.7120i 0.0851574 + 0.592283i 0.987061 + 0.160345i \(0.0512608\pi\)
−0.901904 + 0.431937i \(0.857830\pi\)
\(618\) 3.46649 2.22778i 0.139443 0.0896144i
\(619\) −29.8286 + 34.4241i −1.19891 + 1.38362i −0.295225 + 0.955428i \(0.595395\pi\)
−0.903688 + 0.428192i \(0.859151\pi\)
\(620\) 14.6770 0.589441
\(621\) −11.9462 + 57.3348i −0.479383 + 2.30077i
\(622\) 11.0416 0.442729
\(623\) 0.581383 0.670951i 0.0232926 0.0268811i
\(624\) 18.1274 11.6498i 0.725676 0.466364i
\(625\) 3.64626 + 25.3603i 0.145850 + 1.01441i
\(626\) 1.30081 + 2.84838i 0.0519910 + 0.113844i
\(627\) 4.04087 28.1049i 0.161377 1.12240i
\(628\) 2.78478 0.817684i 0.111125 0.0326291i
\(629\) −26.4657 17.0085i −1.05526 0.678172i
\(630\) −6.47578 + 14.1800i −0.258001 + 0.564944i
\(631\) −33.2867 9.77386i −1.32512 0.389091i −0.458784 0.888548i \(-0.651715\pi\)
−0.866339 + 0.499457i \(0.833533\pi\)
\(632\) −10.6731 12.3174i −0.424553 0.489961i
\(633\) −44.0479 50.8340i −1.75075 2.02047i
\(634\) −17.0952 5.01961i −0.678937 0.199354i
\(635\) −6.52801 + 14.2944i −0.259056 + 0.567254i
\(636\) −5.61826 3.61064i −0.222778 0.143171i
\(637\) −6.57624 + 1.93096i −0.260560 + 0.0765073i
\(638\) −5.73167 + 39.8647i −0.226919 + 1.57826i
\(639\) 6.63823 + 14.5357i 0.262604 + 0.575023i
\(640\) −0.322256 2.24134i −0.0127383 0.0885968i
\(641\) −15.6377 + 10.0497i −0.617653 + 0.396941i −0.811720 0.584047i \(-0.801468\pi\)
0.194067 + 0.980988i \(0.437832\pi\)
\(642\) −14.6606 + 16.9192i −0.578607 + 0.667748i
\(643\) −27.0004 −1.06479 −0.532396 0.846495i \(-0.678708\pi\)
−0.532396 + 0.846495i \(0.678708\pi\)
\(644\) 0.384120 + 4.78042i 0.0151365 + 0.188375i
\(645\) −35.3666 −1.39256
\(646\) −6.35333 + 7.33213i −0.249968 + 0.288479i
\(647\) −23.9146 + 15.3690i −0.940180 + 0.604217i −0.918446 0.395546i \(-0.870555\pi\)
−0.0217345 + 0.999764i \(0.506919\pi\)
\(648\) −2.52473 17.5599i −0.0991808 0.689817i
\(649\) 3.55239 + 7.77866i 0.139444 + 0.305339i
\(650\) −0.124326 + 0.864709i −0.00487648 + 0.0339167i
\(651\) 19.5524 5.74110i 0.766318 0.225011i
\(652\) −5.21178 3.34941i −0.204109 0.131173i
\(653\) 7.73228 16.9313i 0.302588 0.662574i −0.695866 0.718172i \(-0.744979\pi\)
0.998453 + 0.0555975i \(0.0177064\pi\)
\(654\) 8.26762 + 2.42759i 0.323289 + 0.0949263i
\(655\) 1.69374 + 1.95468i 0.0661798 + 0.0763756i
\(656\) 0.00384070 + 0.00443240i 0.000149954 + 0.000173056i
\(657\) 75.1054 + 22.0529i 2.93014 + 0.860366i
\(658\) 2.42203 5.30350i 0.0944205 0.206752i
\(659\) 35.5928 + 22.8741i 1.38650 + 0.891049i 0.999518 0.0310387i \(-0.00988151\pi\)
0.386981 + 0.922088i \(0.373518\pi\)
\(660\) 29.3276 8.61137i 1.14158 0.335197i
\(661\) 1.16920 8.13193i 0.0454764 0.316295i −0.954368 0.298634i \(-0.903469\pi\)
0.999844 0.0176611i \(-0.00562201\pi\)
\(662\) 10.5019 + 22.9958i 0.408166 + 0.893759i
\(663\) −14.1439 98.3732i −0.549305 3.82050i
\(664\) −3.10406 + 1.99486i −0.120461 + 0.0774156i
\(665\) 3.11918 3.59973i 0.120957 0.139592i
\(666\) −46.9573 −1.81956
\(667\) −21.2123 + 39.6716i −0.821343 + 1.53609i
\(668\) 8.48514 0.328300
\(669\) −25.2761 + 29.1701i −0.977229 + 1.12778i
\(670\) −5.54949 + 3.56644i −0.214395 + 0.137784i
\(671\) −3.77348 26.2451i −0.145674 1.01318i
\(672\) −1.30603 2.85982i −0.0503814 0.110320i
\(673\) 3.94973 27.4710i 0.152251 1.05893i −0.760185 0.649707i \(-0.774892\pi\)
0.912435 0.409221i \(-0.134199\pi\)
\(674\) 25.7004 7.54630i 0.989941 0.290673i
\(675\) 1.30945 + 0.841529i 0.0504006 + 0.0323905i
\(676\) 14.1139 30.9052i 0.542844 1.18866i
\(677\) −47.3204 13.8945i −1.81867 0.534010i −0.819437 0.573169i \(-0.805714\pi\)
−0.999233 + 0.0391590i \(0.987532\pi\)
\(678\) 0.743680 + 0.858252i 0.0285609 + 0.0329610i
\(679\) −5.65056 6.52110i −0.216849 0.250257i
\(680\) −10.0208 2.94239i −0.384282 0.112835i
\(681\) 3.74192 8.19366i 0.143391 0.313982i
\(682\) −23.4112 15.0455i −0.896462 0.576121i
\(683\) 0.687298 0.201809i 0.0262987 0.00772200i −0.268557 0.963264i \(-0.586547\pi\)
0.294855 + 0.955542i \(0.404728\pi\)
\(684\) −2.06087 + 14.3336i −0.0787992 + 0.548060i
\(685\) 14.6028 + 31.9758i 0.557946 + 1.22173i
\(686\) 0.142315 + 0.989821i 0.00543361 + 0.0377916i
\(687\) 3.85298 2.47616i 0.147000 0.0944714i
\(688\) 3.25326 3.75446i 0.124029 0.143138i
\(689\) −14.5592 −0.554662
\(690\) 34.0750 + 2.13654i 1.29721 + 0.0813367i
\(691\) −31.6881 −1.20547 −0.602737 0.797940i \(-0.705923\pi\)
−0.602737 + 0.797940i \(0.705923\pi\)
\(692\) 6.82853 7.88054i 0.259582 0.299573i
\(693\) 24.8655 15.9801i 0.944562 0.607033i
\(694\) 0.313842 + 2.18282i 0.0119133 + 0.0828587i
\(695\) 2.57373 + 5.63568i 0.0976271 + 0.213773i
\(696\) 4.19703 29.1910i 0.159088 1.10648i
\(697\) 0.0259546 0.00762096i 0.000983101 0.000288665i
\(698\) −6.12481 3.93618i −0.231827 0.148986i
\(699\) −3.80889 + 8.34031i −0.144066 + 0.315460i
\(700\) 0.122298 + 0.0359099i 0.00462243 + 0.00135727i
\(701\) 0.0158607 + 0.0183043i 0.000599051 + 0.000691342i 0.756049 0.654515i \(-0.227127\pi\)
−0.755450 + 0.655206i \(0.772582\pi\)
\(702\) −54.8110 63.2553i −2.06871 2.38742i
\(703\) 13.7666 + 4.04225i 0.519219 + 0.152456i
\(704\) −1.78359 + 3.90551i −0.0672214 + 0.147194i
\(705\) −34.9179 22.4404i −1.31508 0.845153i
\(706\) 18.3060 5.37514i 0.688957 0.202296i
\(707\) −1.04414 + 7.26213i −0.0392688 + 0.273120i
\(708\) −2.60125 5.69594i −0.0977609 0.214067i
\(709\) −1.71302 11.9143i −0.0643337 0.447451i −0.996373 0.0850933i \(-0.972881\pi\)
0.932039 0.362357i \(-0.118028\pi\)
\(710\) 4.42171 2.84166i 0.165944 0.106646i
\(711\) −73.4766 + 84.7965i −2.75559 + 3.18012i
\(712\) 0.887796 0.0332716
\(713\) −18.8463 24.7202i −0.705798 0.925779i
\(714\) −14.5005 −0.542669
\(715\) 43.6363 50.3589i 1.63190 1.88332i
\(716\) −12.7511 + 8.19462i −0.476530 + 0.306247i
\(717\) −6.39356 44.4682i −0.238772 1.66070i
\(718\) −0.763993 1.67291i −0.0285120 0.0624325i
\(719\) 0.411270 2.86044i 0.0153378 0.106677i −0.980714 0.195446i \(-0.937384\pi\)
0.996052 + 0.0887698i \(0.0282935\pi\)
\(720\) −14.9572 + 4.39184i −0.557423 + 0.163674i
\(721\) −1.10260 0.708597i −0.0410629 0.0263895i
\(722\) −6.05481 + 13.2582i −0.225337 + 0.493418i
\(723\) −2.54075 0.746032i −0.0944915 0.0277452i
\(724\) −8.18087 9.44123i −0.304040 0.350880i
\(725\) 0.782972 + 0.903597i 0.0290788 + 0.0335588i
\(726\) −22.4257 6.58478i −0.832296 0.244384i
\(727\) 11.9156 26.0915i 0.441925 0.967682i −0.549315 0.835615i \(-0.685111\pi\)
0.991241 0.132067i \(-0.0421613\pi\)
\(728\) −5.76584 3.70548i −0.213696 0.137334i
\(729\) −6.66883 + 1.95815i −0.246994 + 0.0725239i
\(730\) 3.66414 25.4847i 0.135616 0.943229i
\(731\) −9.51839 20.8424i −0.352050 0.770883i
\(732\) 2.76314 + 19.2181i 0.102129 + 0.710320i
\(733\) 37.0061 23.7824i 1.36685 0.878423i 0.368172 0.929758i \(-0.379984\pi\)
0.998682 + 0.0513347i \(0.0163475\pi\)
\(734\) 5.96933 6.88897i 0.220332 0.254277i
\(735\) 7.11908 0.262591
\(736\) −3.36126 + 3.42081i −0.123898 + 0.126093i
\(737\) 12.5080 0.460736
\(738\) 0.0264404 0.0305139i 0.000973286 0.00112323i
\(739\) −41.8268 + 26.8805i −1.53862 + 0.988814i −0.550555 + 0.834799i \(0.685584\pi\)
−0.988069 + 0.154015i \(0.950780\pi\)
\(740\) 2.19809 + 15.2881i 0.0808036 + 0.562001i
\(741\) 18.8292 + 41.2302i 0.691707 + 1.51463i
\(742\) −0.302310 + 2.10261i −0.0110982 + 0.0771893i
\(743\) −3.68757 + 1.08277i −0.135284 + 0.0397229i −0.348673 0.937244i \(-0.613368\pi\)
0.213390 + 0.976967i \(0.431550\pi\)
\(744\) 17.1429 + 11.0171i 0.628490 + 0.403906i
\(745\) 3.64196 7.97479i 0.133431 0.292174i
\(746\) 19.2232 + 5.64444i 0.703811 + 0.206657i
\(747\) 16.6345 + 19.1973i 0.608626 + 0.702392i
\(748\) 12.9680 + 14.9658i 0.474156 + 0.547205i
\(749\) 6.83238 + 2.00617i 0.249650 + 0.0733037i
\(750\) −14.4099 + 31.5533i −0.526175 + 1.15216i
\(751\) 43.5984 + 28.0190i 1.59093 + 1.02243i 0.971399 + 0.237454i \(0.0763127\pi\)
0.619529 + 0.784974i \(0.287324\pi\)
\(752\) 5.59421 1.64261i 0.204000 0.0598998i
\(753\) −13.3310 + 92.7192i −0.485809 + 3.37887i
\(754\) −26.7078 58.4818i −0.972639 2.12978i
\(755\) −5.72018 39.7847i −0.208179 1.44791i
\(756\) −10.2733 + 6.60225i −0.373636 + 0.240121i
\(757\) 27.1895 31.3783i 0.988217 1.14046i −0.00186821 0.999998i \(-0.500595\pi\)
0.990086 0.140465i \(-0.0448599\pi\)
\(758\) 14.0453 0.510148
\(759\) −52.1627 38.3385i −1.89339 1.39160i
\(760\) 4.76313 0.172777
\(761\) 32.9576 38.0350i 1.19471 1.37877i 0.287668 0.957730i \(-0.407120\pi\)
0.907042 0.421039i \(-0.138335\pi\)
\(762\) −18.3547 + 11.7958i −0.664920 + 0.427318i
\(763\) −0.390046 2.71283i −0.0141206 0.0982111i
\(764\) −9.99668 21.8897i −0.361667 0.791940i
\(765\) −10.2323 + 71.1669i −0.369948 + 2.57304i
\(766\) −6.50842 + 1.91105i −0.235159 + 0.0690489i
\(767\) −11.4839 7.38027i −0.414660 0.266486i
\(768\) 1.30603 2.85982i 0.0471275 0.103195i
\(769\) 5.91628 + 1.73718i 0.213346 + 0.0626442i 0.386659 0.922223i \(-0.373629\pi\)
−0.173313 + 0.984867i \(0.555447\pi\)
\(770\) −6.36666 7.34752i −0.229439 0.264786i
\(771\) 12.8620 + 14.8435i 0.463213 + 0.534576i
\(772\) −3.94991 1.15980i −0.142161 0.0417421i
\(773\) −6.57628 + 14.4000i −0.236532 + 0.517934i −0.990256 0.139258i \(-0.955528\pi\)
0.753724 + 0.657191i \(0.228256\pi\)