Properties

Label 648.2.bb.b.155.79
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.79
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.79

$q$-expansion

\(f(q)\) \(=\) \(q+(0.940884 + 1.05581i) q^{2} +(1.70993 - 0.275948i) q^{3} +(-0.229475 + 1.98679i) q^{4} +(-2.15207 + 1.41544i) q^{5} +(1.90019 + 1.54573i) q^{6} +(1.15580 + 1.09044i) q^{7} +(-2.31359 + 1.62706i) q^{8} +(2.84771 - 0.943701i) q^{9} +O(q^{10})\) \(q+(0.940884 + 1.05581i) q^{2} +(1.70993 - 0.275948i) q^{3} +(-0.229475 + 1.98679i) q^{4} +(-2.15207 + 1.41544i) q^{5} +(1.90019 + 1.54573i) q^{6} +(1.15580 + 1.09044i) q^{7} +(-2.31359 + 1.62706i) q^{8} +(2.84771 - 0.943701i) q^{9} +(-3.51929 - 0.940418i) q^{10} +(0.0977803 + 0.194697i) q^{11} +(0.155866 + 3.46059i) q^{12} +(-2.10183 + 0.906643i) q^{13} +(-0.0638263 + 2.24629i) q^{14} +(-3.28930 + 3.01416i) q^{15} +(-3.89468 - 0.911836i) q^{16} +(3.39492 + 4.04591i) q^{17} +(3.67573 + 2.11873i) q^{18} +(-2.51809 - 2.11292i) q^{19} +(-2.31834 - 4.60053i) q^{20} +(2.27724 + 1.54564i) q^{21} +(-0.113563 + 0.286425i) q^{22} +(2.30738 + 2.44568i) q^{23} +(-3.50708 + 3.42058i) q^{24} +(0.647549 - 1.50119i) q^{25} +(-2.93483 - 1.36609i) q^{26} +(4.60896 - 2.39948i) q^{27} +(-2.43171 + 2.04611i) q^{28} +(5.78954 - 0.676700i) q^{29} +(-6.27724 - 0.636906i) q^{30} +(-0.779542 - 3.28915i) q^{31} +(-2.70172 - 4.96998i) q^{32} +(0.220923 + 0.305935i) q^{33} +(-1.07749 + 7.39112i) q^{34} +(-4.03083 - 0.710744i) q^{35} +(1.22146 + 5.87435i) q^{36} +(-6.62351 + 1.16790i) q^{37} +(-0.138377 - 4.64664i) q^{38} +(-3.34380 + 2.13029i) q^{39} +(2.67600 - 6.77629i) q^{40} +(3.98601 + 2.96748i) q^{41} +(0.510720 + 3.85861i) q^{42} +(0.594653 - 10.2098i) q^{43} +(-0.409260 + 0.149591i) q^{44} +(-4.79272 + 6.06167i) q^{45} +(-0.411200 + 4.73726i) q^{46} +(0.899980 + 0.213299i) q^{47} +(-6.91125 - 0.484446i) q^{48} +(-0.260201 - 4.46748i) q^{49} +(2.19424 - 0.728753i) q^{50} +(6.92153 + 5.98139i) q^{51} +(-1.31899 - 4.38396i) q^{52} +(-0.396240 - 0.686308i) q^{53} +(6.86989 + 2.60856i) q^{54} +(-0.486012 - 0.280599i) q^{55} +(-4.44827 - 0.642276i) q^{56} +(-4.88880 - 2.91809i) q^{57} +(6.16176 + 5.47597i) q^{58} +(-1.32968 + 2.64760i) q^{59} +(-5.23370 - 7.22683i) q^{60} +(12.8818 - 3.85656i) q^{61} +(2.73926 - 3.91776i) q^{62} +(4.32044 + 2.01453i) q^{63} +(2.70536 - 7.52868i) q^{64} +(3.24000 - 4.92618i) q^{65} +(-0.115146 + 0.521103i) q^{66} +(12.6295 + 1.47618i) q^{67} +(-8.81742 + 5.81657i) q^{68} +(4.62034 + 3.54522i) q^{69} +(-3.04213 - 4.92453i) q^{70} +(5.56270 + 2.02466i) q^{71} +(-5.05295 + 6.81672i) q^{72} +(-5.00512 + 1.82171i) q^{73} +(-7.46504 - 5.89432i) q^{74} +(0.693013 - 2.74561i) q^{75} +(4.77578 - 4.51805i) q^{76} +(-0.0992910 + 0.331655i) q^{77} +(-5.39531 - 1.52606i) q^{78} +(8.95405 - 6.66604i) q^{79} +(9.67229 - 3.55036i) q^{80} +(7.21886 - 5.37477i) q^{81} +(0.617281 + 7.00053i) q^{82} +(-7.14372 + 5.31830i) q^{83} +(-3.59343 + 4.16973i) q^{84} +(-13.0329 - 3.90178i) q^{85} +(11.3391 - 8.97839i) q^{86} +(9.71296 - 2.75472i) q^{87} +(-0.543006 - 0.291353i) q^{88} +(1.19475 + 3.28255i) q^{89} +(-10.9094 + 0.643125i) q^{90} +(-3.41795 - 1.24403i) q^{91} +(-5.38855 + 4.02307i) q^{92} +(-2.24059 - 5.40909i) q^{93} +(0.621573 + 1.15090i) q^{94} +(8.40983 + 0.982968i) q^{95} +(-5.99120 - 7.75278i) q^{96} +(-4.49468 - 2.95619i) q^{97} +(4.47200 - 4.47810i) q^{98} +(0.462185 + 0.462163i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.940884 + 1.05581i 0.665305 + 0.746571i
\(3\) 1.70993 0.275948i 0.987227 0.159318i
\(4\) −0.229475 + 1.98679i −0.114737 + 0.993396i
\(5\) −2.15207 + 1.41544i −0.962437 + 0.633005i −0.930425 0.366483i \(-0.880562\pi\)
−0.0320118 + 0.999487i \(0.510191\pi\)
\(6\) 1.90019 + 1.54573i 0.775750 + 0.631040i
\(7\) 1.15580 + 1.09044i 0.436852 + 0.412149i 0.872995 0.487728i \(-0.162174\pi\)
−0.436143 + 0.899877i \(0.643656\pi\)
\(8\) −2.31359 + 1.62706i −0.817976 + 0.575252i
\(9\) 2.84771 0.943701i 0.949235 0.314567i
\(10\) −3.51929 0.940418i −1.11290 0.297386i
\(11\) 0.0977803 + 0.194697i 0.0294819 + 0.0587033i 0.907891 0.419205i \(-0.137691\pi\)
−0.878410 + 0.477909i \(0.841395\pi\)
\(12\) 0.155866 + 3.46059i 0.0449945 + 0.998987i
\(13\) −2.10183 + 0.906643i −0.582944 + 0.251457i −0.667067 0.744998i \(-0.732450\pi\)
0.0841229 + 0.996455i \(0.473191\pi\)
\(14\) −0.0638263 + 2.24629i −0.0170583 + 0.600346i
\(15\) −3.28930 + 3.01416i −0.849294 + 0.778253i
\(16\) −3.89468 0.911836i −0.973671 0.227959i
\(17\) 3.39492 + 4.04591i 0.823389 + 0.981277i 0.999995 0.00300473i \(-0.000956436\pi\)
−0.176606 + 0.984282i \(0.556512\pi\)
\(18\) 3.67573 + 2.11873i 0.866378 + 0.499389i
\(19\) −2.51809 2.11292i −0.577688 0.484738i 0.306499 0.951871i \(-0.400842\pi\)
−0.884187 + 0.467133i \(0.845287\pi\)
\(20\) −2.31834 4.60053i −0.518397 1.02871i
\(21\) 2.27724 + 1.54564i 0.496936 + 0.337286i
\(22\) −0.113563 + 0.286425i −0.0242117 + 0.0610659i
\(23\) 2.30738 + 2.44568i 0.481123 + 0.509960i 0.921779 0.387716i \(-0.126736\pi\)
−0.440656 + 0.897676i \(0.645254\pi\)
\(24\) −3.50708 + 3.42058i −0.715880 + 0.698223i
\(25\) 0.647549 1.50119i 0.129510 0.300237i
\(26\) −2.93483 1.36609i −0.575567 0.267913i
\(27\) 4.60896 2.39948i 0.886995 0.461780i
\(28\) −2.43171 + 2.04611i −0.459550 + 0.386679i
\(29\) 5.78954 0.676700i 1.07509 0.125660i 0.439924 0.898035i \(-0.355005\pi\)
0.635167 + 0.772375i \(0.280931\pi\)
\(30\) −6.27724 0.636906i −1.14606 0.116283i
\(31\) −0.779542 3.28915i −0.140010 0.590748i −0.997135 0.0756403i \(-0.975900\pi\)
0.857125 0.515108i \(-0.172248\pi\)
\(32\) −2.70172 4.96998i −0.477601 0.878577i
\(33\) 0.220923 + 0.305935i 0.0384578 + 0.0532564i
\(34\) −1.07749 + 7.39112i −0.184788 + 1.26757i
\(35\) −4.03083 0.710744i −0.681335 0.120138i
\(36\) 1.22146 + 5.87435i 0.203577 + 0.979059i
\(37\) −6.62351 + 1.16790i −1.08890 + 0.192002i −0.689147 0.724621i \(-0.742015\pi\)
−0.399751 + 0.916624i \(0.630904\pi\)
\(38\) −0.138377 4.64664i −0.0224477 0.753784i
\(39\) −3.34380 + 2.13029i −0.535436 + 0.341119i
\(40\) 2.67600 6.77629i 0.423113 1.07143i
\(41\) 3.98601 + 2.96748i 0.622510 + 0.463442i 0.861622 0.507550i \(-0.169449\pi\)
−0.239112 + 0.970992i \(0.576856\pi\)
\(42\) 0.510720 + 3.85861i 0.0788058 + 0.595396i
\(43\) 0.594653 10.2098i 0.0906837 1.55698i −0.579617 0.814889i \(-0.696798\pi\)
0.670300 0.742090i \(-0.266165\pi\)
\(44\) −0.409260 + 0.149591i −0.0616982 + 0.0225517i
\(45\) −4.79272 + 6.06167i −0.714456 + 0.903621i
\(46\) −0.411200 + 4.73726i −0.0606281 + 0.698472i
\(47\) 0.899980 + 0.213299i 0.131276 + 0.0311129i 0.295728 0.955272i \(-0.404438\pi\)
−0.164453 + 0.986385i \(0.552586\pi\)
\(48\) −6.91125 0.484446i −0.997552 0.0699237i
\(49\) −0.260201 4.46748i −0.0371716 0.638212i
\(50\) 2.19424 0.728753i 0.310312 0.103061i
\(51\) 6.92153 + 5.98139i 0.969208 + 0.837562i
\(52\) −1.31899 4.38396i −0.182911 0.607945i
\(53\) −0.396240 0.686308i −0.0544278 0.0942716i 0.837528 0.546395i \(-0.184000\pi\)
−0.891956 + 0.452123i \(0.850667\pi\)
\(54\) 6.86989 + 2.60856i 0.934874 + 0.354980i
\(55\) −0.486012 0.280599i −0.0655339 0.0378360i
\(56\) −4.44827 0.642276i −0.594424 0.0858278i
\(57\) −4.88880 2.91809i −0.647537 0.386510i
\(58\) 6.16176 + 5.47597i 0.809078 + 0.719030i
\(59\) −1.32968 + 2.64760i −0.173109 + 0.344688i −0.963411 0.268030i \(-0.913628\pi\)
0.790302 + 0.612718i \(0.209924\pi\)
\(60\) −5.23370 7.22683i −0.675668 0.932980i
\(61\) 12.8818 3.85656i 1.64935 0.493783i 0.678726 0.734391i \(-0.262532\pi\)
0.970622 + 0.240609i \(0.0773471\pi\)
\(62\) 2.73926 3.91776i 0.347886 0.497556i
\(63\) 4.32044 + 2.01453i 0.544324 + 0.253807i
\(64\) 2.70536 7.52868i 0.338170 0.941085i
\(65\) 3.24000 4.92618i 0.401873 0.611018i
\(66\) −0.115146 + 0.521103i −0.0141735 + 0.0641433i
\(67\) 12.6295 + 1.47618i 1.54294 + 0.180344i 0.844591 0.535412i \(-0.179844\pi\)
0.698350 + 0.715756i \(0.253918\pi\)
\(68\) −8.81742 + 5.81657i −1.06927 + 0.705362i
\(69\) 4.62034 + 3.54522i 0.556223 + 0.426795i
\(70\) −3.04213 4.92453i −0.363604 0.588593i
\(71\) 5.56270 + 2.02466i 0.660171 + 0.240283i 0.650310 0.759669i \(-0.274639\pi\)
0.00986103 + 0.999951i \(0.496861\pi\)
\(72\) −5.05295 + 6.81672i −0.595496 + 0.803358i
\(73\) −5.00512 + 1.82171i −0.585805 + 0.213216i −0.617883 0.786270i \(-0.712010\pi\)
0.0320784 + 0.999485i \(0.489787\pi\)
\(74\) −7.46504 5.89432i −0.867794 0.685200i
\(75\) 0.693013 2.74561i 0.0800222 0.317036i
\(76\) 4.77578 4.51805i 0.547819 0.518256i
\(77\) −0.0992910 + 0.331655i −0.0113153 + 0.0377956i
\(78\) −5.39531 1.52606i −0.610898 0.172793i
\(79\) 8.95405 6.66604i 1.00741 0.749988i 0.0389704 0.999240i \(-0.487592\pi\)
0.968439 + 0.249252i \(0.0801848\pi\)
\(80\) 9.67229 3.55036i 1.08140 0.396942i
\(81\) 7.21886 5.37477i 0.802095 0.597196i
\(82\) 0.617281 + 7.00053i 0.0681672 + 0.773079i
\(83\) −7.14372 + 5.31830i −0.784125 + 0.583759i −0.913028 0.407898i \(-0.866262\pi\)
0.128903 + 0.991657i \(0.458855\pi\)
\(84\) −3.59343 + 4.16973i −0.392076 + 0.454954i
\(85\) −13.0329 3.90178i −1.41361 0.423208i
\(86\) 11.3391 8.97839i 1.22273 0.968165i
\(87\) 9.71296 2.75472i 1.04134 0.295337i
\(88\) −0.543006 0.291353i −0.0578846 0.0310583i
\(89\) 1.19475 + 3.28255i 0.126643 + 0.347950i 0.986769 0.162132i \(-0.0518372\pi\)
−0.860126 + 0.510082i \(0.829615\pi\)
\(90\) −10.9094 + 0.643125i −1.14995 + 0.0677914i
\(91\) −3.41795 1.24403i −0.358298 0.130410i
\(92\) −5.38855 + 4.02307i −0.561795 + 0.419434i
\(93\) −2.24059 5.40909i −0.232339 0.560897i
\(94\) 0.621573 + 1.15090i 0.0641104 + 0.118706i
\(95\) 8.40983 + 0.982968i 0.862830 + 0.100850i
\(96\) −5.99120 7.75278i −0.611474 0.791265i
\(97\) −4.49468 2.95619i −0.456365 0.300156i 0.300435 0.953802i \(-0.402868\pi\)
−0.756800 + 0.653646i \(0.773238\pi\)
\(98\) 4.47200 4.47810i 0.451740 0.452357i
\(99\) 0.462185 + 0.462163i 0.0464513 + 0.0464492i
\(100\) 2.83395 + 1.63103i 0.283395 + 0.163103i
\(101\) −4.14713 13.8524i −0.412655 1.37836i −0.871739 0.489971i \(-0.837007\pi\)
0.459084 0.888393i \(-0.348178\pi\)
\(102\) 0.197135 + 12.9356i 0.0195193 + 1.28082i
\(103\) 1.25110 2.49114i 0.123274 0.245459i −0.823528 0.567276i \(-0.807997\pi\)
0.946802 + 0.321817i \(0.104294\pi\)
\(104\) 3.38761 5.51740i 0.332183 0.541026i
\(105\) −7.08856 0.103023i −0.691773 0.0100540i
\(106\) 0.351796 1.06409i 0.0341694 0.103354i
\(107\) 0.988357 + 0.570628i 0.0955480 + 0.0551647i 0.547013 0.837124i \(-0.315765\pi\)
−0.451465 + 0.892289i \(0.649098\pi\)
\(108\) 3.70962 + 9.70766i 0.356959 + 0.934120i
\(109\) −8.59824 + 4.96420i −0.823562 + 0.475484i −0.851643 0.524122i \(-0.824394\pi\)
0.0280812 + 0.999606i \(0.491060\pi\)
\(110\) −0.161021 0.777148i −0.0153528 0.0740982i
\(111\) −11.0034 + 3.82477i −1.04440 + 0.363031i
\(112\) −3.50718 5.30084i −0.331397 0.500882i
\(113\) −16.8689 + 0.982503i −1.58689 + 0.0924261i −0.828734 0.559642i \(-0.810939\pi\)
−0.758160 + 0.652068i \(0.773902\pi\)
\(114\) −1.51884 7.90723i −0.142253 0.740580i
\(115\) −8.42738 1.99733i −0.785857 0.186252i
\(116\) 0.0159102 + 11.6579i 0.00147723 + 1.08241i
\(117\) −5.12980 + 4.56535i −0.474251 + 0.422067i
\(118\) −4.04644 + 1.08720i −0.372505 + 0.100085i
\(119\) −0.487977 + 8.37824i −0.0447328 + 0.768032i
\(120\) 2.70587 12.3254i 0.247011 1.12515i
\(121\) 6.54040 8.78528i 0.594582 0.798662i
\(122\) 16.1921 + 9.97219i 1.46596 + 0.902840i
\(123\) 7.63466 + 3.97424i 0.688394 + 0.358345i
\(124\) 6.71374 0.794013i 0.602911 0.0713044i
\(125\) −1.50517 8.53625i −0.134627 0.763505i
\(126\) 1.93807 + 6.45701i 0.172657 + 0.575236i
\(127\) −0.189439 0.0334032i −0.0168100 0.00296406i 0.165237 0.986254i \(-0.447161\pi\)
−0.182047 + 0.983290i \(0.558272\pi\)
\(128\) 10.4943 4.22727i 0.927573 0.373641i
\(129\) −1.80056 17.6221i −0.158530 1.55154i
\(130\) 8.24959 1.21414i 0.723536 0.106487i
\(131\) 1.28857 + 5.43689i 0.112583 + 0.475023i 0.999904 + 0.0138712i \(0.00441549\pi\)
−0.887321 + 0.461152i \(0.847436\pi\)
\(132\) −0.658525 + 0.368724i −0.0573173 + 0.0320933i
\(133\) −0.606385 5.18795i −0.0525802 0.449853i
\(134\) 10.3243 + 14.7233i 0.891888 + 1.27190i
\(135\) −6.52250 + 11.6876i −0.561367 + 1.00591i
\(136\) −14.4374 3.83682i −1.23799 0.329005i
\(137\) 18.6143 + 8.02942i 1.59033 + 0.686000i 0.993229 0.116170i \(-0.0370616\pi\)
0.597097 + 0.802169i \(0.296321\pi\)
\(138\) 0.604115 + 8.21385i 0.0514257 + 0.699209i
\(139\) 7.47365 + 7.92160i 0.633906 + 0.671902i 0.962096 0.272710i \(-0.0879200\pi\)
−0.328190 + 0.944612i \(0.606439\pi\)
\(140\) 2.33707 7.84533i 0.197519 0.663051i
\(141\) 1.59776 + 0.116379i 0.134556 + 0.00980086i
\(142\) 3.09620 + 7.77813i 0.259827 + 0.652726i
\(143\) −0.382038 0.320568i −0.0319476 0.0268073i
\(144\) −11.9514 + 1.07877i −0.995951 + 0.0898979i
\(145\) −11.5017 + 9.65106i −0.955163 + 0.801477i
\(146\) −6.63262 3.57044i −0.548920 0.295492i
\(147\) −1.67772 7.56727i −0.138376 0.624138i
\(148\) −0.800454 13.4275i −0.0657969 1.10374i
\(149\) −6.88011 15.9499i −0.563640 1.30667i −0.927016 0.375023i \(-0.877635\pi\)
0.363375 0.931643i \(-0.381624\pi\)
\(150\) 3.55089 1.85161i 0.289929 0.151183i
\(151\) 1.97181 + 3.92620i 0.160464 + 0.319509i 0.959469 0.281815i \(-0.0909364\pi\)
−0.799005 + 0.601324i \(0.794640\pi\)
\(152\) 9.26366 + 0.791359i 0.751382 + 0.0641877i
\(153\) 13.4859 + 8.31777i 1.09027 + 0.672452i
\(154\) −0.443586 + 0.207216i −0.0357452 + 0.0166980i
\(155\) 6.33323 + 5.97509i 0.508697 + 0.479931i
\(156\) −3.46512 7.13228i −0.277432 0.571039i
\(157\) −11.5512 17.5628i −0.921887 1.40166i −0.915780 0.401679i \(-0.868427\pi\)
−0.00610628 0.999981i \(-0.501944\pi\)
\(158\) 15.4628 + 3.18181i 1.23015 + 0.253131i
\(159\) −0.866927 1.06420i −0.0687518 0.0843962i
\(160\) 12.8490 + 6.87164i 1.01580 + 0.543251i
\(161\) 5.34280i 0.421072i
\(162\) 12.4668 + 2.56472i 0.979488 + 0.201503i
\(163\) −18.5008 −1.44909 −0.724547 0.689226i \(-0.757951\pi\)
−0.724547 + 0.689226i \(0.757951\pi\)
\(164\) −6.81044 + 7.23842i −0.531806 + 0.565225i
\(165\) −0.908476 0.345691i −0.0707248 0.0269120i
\(166\) −12.3365 2.53851i −0.957501 0.197027i
\(167\) 0.211604 0.139174i 0.0163744 0.0107696i −0.541295 0.840833i \(-0.682066\pi\)
0.557670 + 0.830063i \(0.311696\pi\)
\(168\) −7.78345 + 0.129243i −0.600506 + 0.00997128i
\(169\) −5.32544 + 5.64463i −0.409649 + 0.434203i
\(170\) −8.14287 17.4314i −0.624529 1.33692i
\(171\) −9.16474 3.64067i −0.700845 0.278409i
\(172\) 20.1483 + 3.52434i 1.53629 + 0.268728i
\(173\) −11.6661 + 5.85894i −0.886957 + 0.445447i −0.833113 0.553103i \(-0.813444\pi\)
−0.0538442 + 0.998549i \(0.517147\pi\)
\(174\) 12.0472 + 7.66319i 0.913299 + 0.580945i
\(175\) 2.38540 1.02896i 0.180319 0.0777821i
\(176\) −0.203292 0.847441i −0.0153237 0.0638783i
\(177\) −1.54305 + 4.89413i −0.115983 + 0.367865i
\(178\) −2.34163 + 4.34993i −0.175513 + 0.326041i
\(179\) 11.9608 + 14.2544i 0.893994 + 1.06542i 0.997491 + 0.0707913i \(0.0225524\pi\)
−0.103497 + 0.994630i \(0.533003\pi\)
\(180\) −10.9435 10.9131i −0.815679 0.813417i
\(181\) −12.9954 + 15.4873i −0.965939 + 1.15116i 0.0225316 + 0.999746i \(0.492827\pi\)
−0.988470 + 0.151415i \(0.951617\pi\)
\(182\) −1.90243 4.77920i −0.141018 0.354258i
\(183\) 20.9628 10.1492i 1.54961 0.750247i
\(184\) −9.31760 1.90405i −0.686902 0.140368i
\(185\) 12.6012 11.8886i 0.926458 0.874068i
\(186\) 3.60284 7.45497i 0.264173 0.546625i
\(187\) −0.455768 + 1.05659i −0.0333291 + 0.0772655i
\(188\) −0.630303 + 1.73913i −0.0459696 + 0.126839i
\(189\) 7.94354 + 2.25249i 0.577808 + 0.163844i
\(190\) 6.87484 + 9.80405i 0.498753 + 0.711260i
\(191\) −1.26485 + 0.147839i −0.0915212 + 0.0106973i −0.161730 0.986835i \(-0.551707\pi\)
0.0702091 + 0.997532i \(0.477633\pi\)
\(192\) 2.54845 13.6200i 0.183918 0.982942i
\(193\) −7.36361 + 1.74521i −0.530044 + 0.125623i −0.486919 0.873447i \(-0.661879\pi\)
−0.0431249 + 0.999070i \(0.513731\pi\)
\(194\) −1.10778 7.52696i −0.0795343 0.540405i
\(195\) 4.18080 9.31749i 0.299393 0.667239i
\(196\) 8.93566 + 0.508208i 0.638262 + 0.0363006i
\(197\) 4.33476 24.5836i 0.308839 1.75151i −0.296024 0.955180i \(-0.595661\pi\)
0.604863 0.796330i \(-0.293228\pi\)
\(198\) −0.0530947 + 0.922822i −0.00377328 + 0.0655821i
\(199\) 13.0666 2.30399i 0.926265 0.163326i 0.309885 0.950774i \(-0.399709\pi\)
0.616380 + 0.787449i \(0.288598\pi\)
\(200\) 0.944359 + 4.52672i 0.0667763 + 0.320088i
\(201\) 22.0029 0.960926i 1.55197 0.0677785i
\(202\) 10.7235 17.4121i 0.754505 1.22511i
\(203\) 7.42947 + 5.53104i 0.521447 + 0.388203i
\(204\) −13.4721 + 12.3791i −0.943235 + 0.866707i
\(205\) −12.7785 0.744262i −0.892488 0.0519815i
\(206\) 3.80731 1.02295i 0.265268 0.0712723i
\(207\) 8.87874 + 4.78711i 0.617115 + 0.332727i
\(208\) 9.01269 1.61456i 0.624917 0.111949i
\(209\) 0.165160 0.696865i 0.0114244 0.0482032i
\(210\) −6.56074 7.58111i −0.452734 0.523147i
\(211\) −0.642265 11.0273i −0.0442153 0.759148i −0.945440 0.325796i \(-0.894368\pi\)
0.901225 0.433352i \(-0.142669\pi\)
\(212\) 1.45448 0.629756i 0.0998939 0.0432518i
\(213\) 10.0705 + 1.92700i 0.690021 + 0.132036i
\(214\) 0.327454 + 1.58041i 0.0223843 + 0.108035i
\(215\) 13.1716 + 22.8139i 0.898297 + 1.55590i
\(216\) −6.75913 + 13.0504i −0.459901 + 0.887970i
\(217\) 2.68563 4.65165i 0.182313 0.315775i
\(218\) −13.3312 4.40739i −0.902903 0.298506i
\(219\) −8.05570 + 4.49615i −0.544353 + 0.303822i
\(220\) 0.669020 0.901215i 0.0451053 0.0607599i
\(221\) −10.8037 5.42585i −0.726739 0.364982i
\(222\) −14.3912 8.01889i −0.965874 0.538193i
\(223\) 17.1454 5.13298i 1.14814 0.343730i 0.344464 0.938800i \(-0.388061\pi\)
0.803674 + 0.595069i \(0.202875\pi\)
\(224\) 2.29683 8.69039i 0.153464 0.580651i
\(225\) 0.427357 4.88603i 0.0284905 0.325735i
\(226\) −16.9090 16.8860i −1.12477 1.12324i
\(227\) −3.81234 + 5.79638i −0.253034 + 0.384719i −0.939559 0.342387i \(-0.888765\pi\)
0.686525 + 0.727106i \(0.259135\pi\)
\(228\) 6.91949 9.04340i 0.458254 0.598914i
\(229\) −1.89523 + 16.2147i −0.125240 + 1.07150i 0.773739 + 0.633505i \(0.218384\pi\)
−0.898979 + 0.437992i \(0.855690\pi\)
\(230\) −5.82039 10.7770i −0.383785 0.710612i
\(231\) −0.0782610 + 0.594505i −0.00514919 + 0.0391156i
\(232\) −12.2936 + 10.9855i −0.807112 + 0.721235i
\(233\) −1.37974 + 3.79080i −0.0903896 + 0.248343i −0.976647 0.214849i \(-0.931074\pi\)
0.886258 + 0.463193i \(0.153296\pi\)
\(234\) −9.64670 1.12064i −0.630625 0.0732583i
\(235\) −2.23874 + 0.814833i −0.146039 + 0.0531538i
\(236\) −4.95511 3.24934i −0.322550 0.211514i
\(237\) 13.4713 13.8693i 0.875055 0.900908i
\(238\) −9.30497 + 7.36774i −0.603152 + 0.477580i
\(239\) 1.67801 5.60495i 0.108541 0.362554i −0.886411 0.462899i \(-0.846809\pi\)
0.994953 + 0.100345i \(0.0319946\pi\)
\(240\) 15.5592 8.73990i 1.00434 0.564158i
\(241\) −5.52403 7.42006i −0.355834 0.477968i 0.587777 0.809023i \(-0.300003\pi\)
−0.943612 + 0.331054i \(0.892596\pi\)
\(242\) 15.4294 1.36050i 0.991836 0.0874565i
\(243\) 10.8606 11.1825i 0.696706 0.717357i
\(244\) 4.70614 + 26.4785i 0.301280 + 1.69511i
\(245\) 6.88343 + 9.24605i 0.439766 + 0.590708i
\(246\) 2.98728 + 11.8001i 0.190462 + 0.752344i
\(247\) 7.20826 + 2.15801i 0.458651 + 0.137311i
\(248\) 7.15518 + 6.34136i 0.454354 + 0.402677i
\(249\) −10.7477 + 11.0652i −0.681106 + 0.701229i
\(250\) 7.59648 9.62080i 0.480443 0.608473i
\(251\) −5.02496 13.8060i −0.317172 0.871424i −0.991159 0.132680i \(-0.957642\pi\)
0.673986 0.738744i \(-0.264581\pi\)
\(252\) −4.99388 + 8.12153i −0.314585 + 0.511608i
\(253\) −0.250550 + 0.688379i −0.0157519 + 0.0432780i
\(254\) −0.142973 0.231440i −0.00897090 0.0145219i
\(255\) −23.3619 3.07538i −1.46298 0.192588i
\(256\) 14.3371 + 7.10263i 0.896069 + 0.443914i
\(257\) −1.34931 + 11.5441i −0.0841674 + 0.720098i 0.883598 + 0.468246i \(0.155114\pi\)
−0.967766 + 0.251853i \(0.918960\pi\)
\(258\) 16.9115 18.4814i 1.05286 1.15060i
\(259\) −8.92901 5.87270i −0.554822 0.364912i
\(260\) 9.04380 + 7.56764i 0.560873 + 0.469325i
\(261\) 15.8483 7.39064i 0.980986 0.457469i
\(262\) −4.52793 + 6.47596i −0.279737 + 0.400086i
\(263\) −2.11194 7.05436i −0.130228 0.434990i 0.867860 0.496809i \(-0.165495\pi\)
−0.998087 + 0.0618188i \(0.980310\pi\)
\(264\) −1.00890 0.348351i −0.0620935 0.0214396i
\(265\) 1.82417 + 0.916131i 0.112058 + 0.0562775i
\(266\) 4.90696 5.52149i 0.300865 0.338544i
\(267\) 2.94875 + 5.28324i 0.180461 + 0.323329i
\(268\) −5.83101 + 24.7535i −0.356186 + 1.51206i
\(269\) −5.83850 + 10.1126i −0.355980 + 0.616575i −0.987285 0.158959i \(-0.949186\pi\)
0.631305 + 0.775534i \(0.282519\pi\)
\(270\) −18.4768 + 4.11011i −1.12446 + 0.250134i
\(271\) −9.87142 + 5.69927i −0.599646 + 0.346206i −0.768902 0.639366i \(-0.779197\pi\)
0.169256 + 0.985572i \(0.445863\pi\)
\(272\) −9.53293 18.8531i −0.578019 1.14314i
\(273\) −6.18773 1.18403i −0.374499 0.0716607i
\(274\) 9.03634 + 27.2079i 0.545905 + 1.64369i
\(275\) 0.355594 0.0207110i 0.0214431 0.00124892i
\(276\) −8.10387 + 8.36611i −0.487796 + 0.503581i
\(277\) −5.21780 + 22.0156i −0.313507 + 1.32279i 0.556949 + 0.830546i \(0.311972\pi\)
−0.870457 + 0.492245i \(0.836176\pi\)
\(278\) −1.33188 + 15.3441i −0.0798810 + 0.920276i
\(279\) −5.32388 8.63087i −0.318732 0.516717i
\(280\) 10.4821 4.91403i 0.626425 0.293670i
\(281\) −16.1848 0.942655i −0.965502 0.0562341i −0.431856 0.901942i \(-0.642141\pi\)
−0.533645 + 0.845708i \(0.679178\pi\)
\(282\) 1.38043 + 1.79643i 0.0822036 + 0.106976i
\(283\) −18.8082 + 25.2638i −1.11803 + 1.50178i −0.276935 + 0.960889i \(0.589319\pi\)
−0.841095 + 0.540887i \(0.818089\pi\)
\(284\) −5.29907 + 10.5873i −0.314442 + 0.628242i
\(285\) 14.6514 0.639868i 0.867876 0.0379025i
\(286\) −0.0209942 0.704978i −0.00124142 0.0416862i
\(287\) 1.37118 + 7.77634i 0.0809381 + 0.459023i
\(288\) −12.3839 11.6034i −0.729727 0.683739i
\(289\) −1.89187 + 10.7293i −0.111287 + 0.631137i
\(290\) −21.0115 3.06308i −1.23384 0.179870i
\(291\) −8.50132 3.81458i −0.498356 0.223615i
\(292\) −2.47082 10.3622i −0.144594 0.606400i
\(293\) 0.103639 0.0245628i 0.00605463 0.00143497i −0.227587 0.973758i \(-0.573084\pi\)
0.233642 + 0.972323i \(0.424936\pi\)
\(294\) 6.41107 8.89127i 0.373901 0.518550i
\(295\) −0.885964 7.57991i −0.0515828 0.441319i
\(296\) 13.4238 13.4789i 0.780243 0.783444i
\(297\) 0.917836 + 0.662727i 0.0532582 + 0.0384553i
\(298\) 10.3667 22.2711i 0.600526 1.29013i
\(299\) −7.06710 3.04845i −0.408701 0.176296i
\(300\) 5.29593 + 2.00692i 0.305760 + 0.115870i
\(301\) 11.8205 11.1521i 0.681323 0.642795i
\(302\) −2.29008 + 5.77595i −0.131779 + 0.332369i
\(303\) −10.9138 22.5422i −0.626983 1.29502i
\(304\) 7.88050 + 10.5253i 0.451978 + 0.603665i
\(305\) −22.2639 + 26.5331i −1.27483 + 1.51928i
\(306\) 3.90664 + 22.0646i 0.223328 + 1.26135i
\(307\) −16.6069 + 13.9348i −0.947805 + 0.795303i −0.978927 0.204213i \(-0.934537\pi\)
0.0311216 + 0.999516i \(0.490092\pi\)
\(308\) −0.636144 0.273377i −0.0362477 0.0155771i
\(309\) 1.45186 4.60490i 0.0825935 0.261964i
\(310\) −0.349737 + 12.3086i −0.0198637 + 0.699079i
\(311\) 2.08968 + 4.84443i 0.118495 + 0.274702i 0.967133 0.254272i \(-0.0818360\pi\)
−0.848638 + 0.528975i \(0.822577\pi\)
\(312\) 4.27006 10.3692i 0.241744 0.587038i
\(313\) 1.26570 0.635661i 0.0715419 0.0359297i −0.412669 0.910881i \(-0.635403\pi\)
0.484210 + 0.874952i \(0.339107\pi\)
\(314\) 7.67461 28.7204i 0.433103 1.62079i
\(315\) −12.1494 + 1.77991i −0.684539 + 0.100287i
\(316\) 11.1893 + 19.3195i 0.629448 + 1.08681i
\(317\) −12.2129 + 12.9450i −0.685947 + 0.727061i −0.972988 0.230857i \(-0.925847\pi\)
0.287041 + 0.957918i \(0.407329\pi\)
\(318\) 0.307912 1.91660i 0.0172668 0.107477i
\(319\) 0.697855 + 1.06104i 0.0390724 + 0.0594066i
\(320\) 4.83427 + 20.0316i 0.270244 + 1.11980i
\(321\) 1.84748 + 0.702998i 0.103116 + 0.0392375i
\(322\) −5.64099 + 5.02695i −0.314360 + 0.280141i
\(323\) 17.3612i 0.966000i
\(324\) 9.02200 + 15.5757i 0.501222 + 0.865319i
\(325\) 3.74234i 0.207588i
\(326\) −17.4071 19.5333i −0.964090 1.08185i
\(327\) −13.3325 + 10.8611i −0.737290 + 0.600619i
\(328\) −14.0502 0.380035i −0.775795 0.0209839i
\(329\) 0.807608 + 1.22791i 0.0445249 + 0.0676968i
\(330\) −0.489787 1.28443i −0.0269619 0.0707058i
\(331\) 19.9490 21.1447i 1.09650 1.16222i 0.110774 0.993846i \(-0.464667\pi\)
0.985723 0.168374i \(-0.0538515\pi\)
\(332\) −8.92706 15.4135i −0.489936 0.845925i
\(333\) −17.7597 + 9.57646i −0.973223 + 0.524787i
\(334\) 0.346037 + 0.0924672i 0.0189343 + 0.00505958i
\(335\) −29.2691 + 14.6995i −1.59914 + 0.803119i
\(336\) −7.45978 8.09625i −0.406964 0.441687i
\(337\) −1.62041 3.75654i −0.0882696 0.204632i 0.868363 0.495929i \(-0.165172\pi\)
−0.956633 + 0.291297i \(0.905913\pi\)
\(338\) −10.9703 0.311711i −0.596705 0.0169548i
\(339\) −28.5735 + 6.33495i −1.55190 + 0.344067i
\(340\) 10.7427 24.9982i 0.582607 1.35572i
\(341\) 0.564162 0.473388i 0.0305511 0.0256354i
\(342\) −4.77910 13.1017i −0.258424 0.708458i
\(343\) 11.7206 13.9680i 0.632851 0.754202i
\(344\) 15.2362 + 24.5888i 0.821478 + 1.32574i
\(345\) −14.9614 1.08977i −0.805493 0.0586711i
\(346\) −17.1624 6.80462i −0.922655 0.365819i
\(347\) 4.28166 4.03954i 0.229852 0.216854i −0.562696 0.826664i \(-0.690236\pi\)
0.792548 + 0.609810i \(0.208754\pi\)
\(348\) 3.24418 + 19.9298i 0.173906 + 1.06835i
\(349\) 13.1211 + 5.65988i 0.702355 + 0.302966i 0.717145 0.696924i \(-0.245449\pi\)
−0.0147898 + 0.999891i \(0.504708\pi\)
\(350\) 3.33077 + 1.55040i 0.178037 + 0.0828722i
\(351\) −7.51180 + 9.22198i −0.400950 + 0.492233i
\(352\) 0.703464 1.01198i 0.0374948 0.0539388i
\(353\) −2.12427 18.1743i −0.113064 0.967321i −0.924054 0.382262i \(-0.875145\pi\)
0.810991 0.585059i \(-0.198929\pi\)
\(354\) −6.61910 + 2.97564i −0.351801 + 0.158153i
\(355\) −14.8371 + 3.51646i −0.787473 + 0.186635i
\(356\) −6.79591 + 1.62046i −0.360183 + 0.0858842i
\(357\) 1.47755 + 14.4608i 0.0782003 + 0.765349i
\(358\) −3.79616 + 26.0401i −0.200633 + 1.37626i
\(359\) −5.93822 + 33.6773i −0.313407 + 1.77742i 0.267609 + 0.963528i \(0.413766\pi\)
−0.581016 + 0.813892i \(0.697345\pi\)
\(360\) 1.22567 21.8222i 0.0645984 1.15013i
\(361\) −1.42301 8.07030i −0.0748953 0.424753i
\(362\) −28.5788 + 0.851076i −1.50207 + 0.0447316i
\(363\) 8.75933 16.8270i 0.459746 0.883189i
\(364\) 3.25596 6.50528i 0.170659 0.340969i
\(365\) 8.19286 11.0049i 0.428834 0.576024i
\(366\) 30.4391 + 12.5836i 1.59108 + 0.657753i
\(367\) −17.6315 1.02692i −0.920357 0.0536047i −0.408580 0.912723i \(-0.633976\pi\)
−0.511778 + 0.859118i \(0.671013\pi\)
\(368\) −6.75646 11.6291i −0.352205 0.606210i
\(369\) 14.1514 + 4.68889i 0.736692 + 0.244094i
\(370\) 24.4084 + 2.11867i 1.26893 + 0.110145i
\(371\) 0.290405 1.22531i 0.0150771 0.0636151i
\(372\) 11.2609 3.21034i 0.583850 0.166449i
\(373\) −2.07435 + 0.120817i −0.107406 + 0.00625567i −0.111763 0.993735i \(-0.535650\pi\)
0.00435781 + 0.999991i \(0.498613\pi\)
\(374\) −1.54438 + 0.512923i −0.0798582 + 0.0265226i
\(375\) −4.92929 14.1810i −0.254548 0.732305i
\(376\) −2.42923 + 0.970834i −0.125278 + 0.0500669i
\(377\) −11.5551 + 6.67136i −0.595119 + 0.343592i
\(378\) 5.09575 + 10.5062i 0.262097 + 0.540381i
\(379\) 1.23993 2.14762i 0.0636908 0.110316i −0.832422 0.554143i \(-0.813046\pi\)
0.896113 + 0.443827i \(0.146380\pi\)
\(380\) −3.88279 + 16.4830i −0.199183 + 0.845560i
\(381\) −0.333145 0.00484183i −0.0170675 0.000248054i
\(382\) −1.34617 1.19634i −0.0688758 0.0612101i
\(383\) −6.05529 3.04108i −0.309411 0.155392i 0.287317 0.957835i \(-0.407237\pi\)
−0.596728 + 0.802444i \(0.703533\pi\)
\(384\) 16.7780 10.1242i 0.856198 0.516648i
\(385\) −0.255757 0.854286i −0.0130346 0.0435385i
\(386\) −8.77091 6.13255i −0.446428 0.312138i
\(387\) −7.94160 29.6357i −0.403694 1.50647i
\(388\) 6.90476 8.25161i 0.350536 0.418912i
\(389\) 10.3293 + 6.79369i 0.523717 + 0.344454i 0.783680 0.621165i \(-0.213340\pi\)
−0.259963 + 0.965618i \(0.583711\pi\)
\(390\) 13.7712 4.35254i 0.697330 0.220399i
\(391\) −2.06163 + 17.6384i −0.104261 + 0.892010i
\(392\) 7.87085 + 9.91254i 0.397538 + 0.500659i
\(393\) 3.70365 + 8.94111i 0.186824 + 0.451019i
\(394\) 30.0342 18.5536i 1.51310 0.934719i
\(395\) −9.83438 + 27.0197i −0.494821 + 1.35951i
\(396\) −1.02428 + 0.812211i −0.0514721 + 0.0408151i
\(397\) 3.49508 + 9.60267i 0.175413 + 0.481944i 0.995977 0.0896113i \(-0.0285625\pi\)
−0.820564 + 0.571555i \(0.806340\pi\)
\(398\) 14.7267 + 11.6281i 0.738184 + 0.582862i
\(399\) −2.46848 8.70370i −0.123578 0.435730i
\(400\) −3.89083 + 5.25619i −0.194542 + 0.262809i
\(401\) −33.6269 10.0672i −1.67925 0.502733i −0.701526 0.712644i \(-0.747497\pi\)
−0.977720 + 0.209911i \(0.932683\pi\)
\(402\) 21.7167 + 22.3268i 1.08313 + 1.11356i
\(403\) 4.62055 + 6.20648i 0.230166 + 0.309167i
\(404\) 28.4735 5.06072i 1.41661 0.251780i
\(405\) −7.92785 + 21.7848i −0.393938 + 1.08249i
\(406\) 1.15054 + 13.0482i 0.0571004 + 0.647571i
\(407\) −0.875036 1.17538i −0.0433739 0.0582613i
\(408\) −25.7456 2.57673i −1.27460 0.127567i
\(409\) −2.52318 + 8.42801i −0.124763 + 0.416739i −0.997436 0.0715676i \(-0.977200\pi\)
0.872672 + 0.488306i \(0.162385\pi\)
\(410\) −11.2373 14.1919i −0.554969 0.700889i
\(411\) 34.0448 + 8.59316i 1.67931 + 0.423869i
\(412\) 4.66228 + 3.05732i 0.229694 + 0.150623i
\(413\) −4.42390 + 1.61017i −0.217686 + 0.0792312i
\(414\) 3.29959 + 13.8784i 0.162166 + 0.682085i
\(415\) 7.84607 21.5569i 0.385148 1.05819i
\(416\) 10.1846 + 7.99658i 0.499339 + 0.392065i
\(417\) 14.9653 + 11.4830i 0.732856 + 0.562327i
\(418\) 0.891155 0.481292i 0.0435878 0.0235407i
\(419\) 3.47363 29.7188i 0.169698 1.45186i −0.593051 0.805165i \(-0.702077\pi\)
0.762749 0.646695i \(-0.223849\pi\)
\(420\) 1.83133 14.0598i 0.0893597 0.686050i
\(421\) 2.87326 4.36859i 0.140034 0.212912i −0.758661 0.651486i \(-0.774146\pi\)
0.898695 + 0.438574i \(0.144516\pi\)
\(422\) 11.0384 11.0535i 0.537341 0.538075i
\(423\) 2.76417 0.241899i 0.134398 0.0117615i
\(424\) 2.03340 + 0.943126i 0.0987506 + 0.0458023i
\(425\) 8.27204 2.47649i 0.401253 0.120127i
\(426\) 7.44064 + 12.4457i 0.360500 + 0.602994i
\(427\) 19.0942 + 9.58948i 0.924034 + 0.464067i
\(428\) −1.36052 + 1.83271i −0.0657633 + 0.0885876i
\(429\) −0.741718 0.442726i −0.0358105 0.0213750i
\(430\) −11.6942 + 35.3720i −0.563946 + 1.70579i
\(431\) −0.834144 + 1.44478i −0.0401793 + 0.0695926i −0.885416 0.464800i \(-0.846126\pi\)
0.845236 + 0.534393i \(0.179460\pi\)
\(432\) −20.1384 + 5.14259i −0.968908 + 0.247423i
\(433\) −18.4943 32.0331i −0.888779 1.53941i −0.841320 0.540538i \(-0.818221\pi\)
−0.0474596 0.998873i \(-0.515113\pi\)
\(434\) 7.43814 1.54114i 0.357042 0.0739773i
\(435\) −17.0039 + 19.6765i −0.815273 + 0.943415i
\(436\) −7.88975 18.2221i −0.377850 0.872679i
\(437\) −0.642644 11.0338i −0.0307418 0.527817i
\(438\) −12.3266 4.27494i −0.588986 0.204264i
\(439\) −2.97306 + 12.5443i −0.141896 + 0.598707i 0.854905 + 0.518785i \(0.173615\pi\)
−0.996801 + 0.0799223i \(0.974533\pi\)
\(440\) 1.58098 0.141580i 0.0753704 0.00674956i
\(441\) −4.95694 12.4765i −0.236045 0.594120i
\(442\) −4.43641 16.5118i −0.211018 0.785387i
\(443\) 25.6963 + 1.49664i 1.22087 + 0.0711073i 0.656441 0.754377i \(-0.272061\pi\)
0.564425 + 0.825485i \(0.309098\pi\)
\(444\) −5.07402 22.7392i −0.240802 1.07916i
\(445\) −7.21745 5.37320i −0.342140 0.254714i
\(446\) 21.5513 + 13.2727i 1.02048 + 0.628482i
\(447\) −16.1658 25.3746i −0.764617 1.20018i
\(448\) 11.3365 5.75163i 0.535598 0.271739i
\(449\) −1.07354 + 0.189293i −0.0506632 + 0.00893330i −0.198922 0.980015i \(-0.563744\pi\)
0.148259 + 0.988949i \(0.452633\pi\)
\(450\) 5.56082 4.14598i 0.262139 0.195443i
\(451\) −0.188004 + 1.06622i −0.00885277 + 0.0502065i
\(452\) 1.91896 33.7405i 0.0902603 1.58702i
\(453\) 4.45508 + 6.16940i 0.209318 + 0.289864i
\(454\) −9.70685 + 1.42861i −0.455565 + 0.0670481i
\(455\) 9.11653 2.16066i 0.427389 0.101293i
\(456\) 16.0586 1.20312i 0.752011 0.0563411i
\(457\) −1.27041 + 0.148490i −0.0594274 + 0.00694607i −0.145755 0.989321i \(-0.546561\pi\)
0.0863272 + 0.996267i \(0.472487\pi\)
\(458\) −18.9028 + 13.2551i −0.883272 + 0.619372i
\(459\) 25.3551 + 10.5014i 1.18348 + 0.490163i
\(460\) 5.90214 16.2851i 0.275189 0.759297i
\(461\) 9.78381 22.6814i 0.455678 1.05638i −0.523251 0.852178i \(-0.675281\pi\)
0.978929 0.204201i \(-0.0654597\pi\)
\(462\) −0.701320 + 0.476731i −0.0326283 + 0.0221796i
\(463\) 28.3211 26.7196i 1.31619 1.24176i 0.365805 0.930691i \(-0.380794\pi\)
0.950387 0.311071i \(-0.100688\pi\)
\(464\) −23.1655 2.64358i −1.07543 0.122725i
\(465\) 12.4782 + 8.46934i 0.578661 + 0.392756i
\(466\) −5.30054 + 2.10996i −0.245543 + 0.0977419i
\(467\) −25.2421 + 30.0824i −1.16807 + 1.39205i −0.264070 + 0.964503i \(0.585065\pi\)
−0.903995 + 0.427543i \(0.859379\pi\)
\(468\) −7.89325 11.2395i −0.364866 0.519545i
\(469\) 12.9875 + 15.4780i 0.599709 + 0.714705i
\(470\) −2.96670 1.59702i −0.136844 0.0736650i
\(471\) −24.5981 26.8435i −1.13342 1.23688i
\(472\) −1.23148 8.28891i −0.0566837 0.381528i
\(473\) 2.04596 0.882540i 0.0940733 0.0405792i
\(474\) 27.3183 + 1.17374i 1.25477 + 0.0539119i
\(475\) −4.80248 + 2.41189i −0.220353 + 0.110665i
\(476\) −16.5338 2.89210i −0.757827 0.132559i
\(477\) −1.77604 1.58047i −0.0813195 0.0723648i
\(478\) 7.49658 3.50194i 0.342886 0.160175i
\(479\) −11.4101 + 12.0940i −0.521342 + 0.552590i −0.933526 0.358511i \(-0.883285\pi\)
0.412184 + 0.911101i \(0.364766\pi\)
\(480\) 23.8671 + 8.20436i 1.08938 + 0.374476i
\(481\) 12.8626 8.45990i 0.586486 0.385738i
\(482\) 2.63671 12.8138i 0.120099 0.583650i
\(483\) 1.47433 + 9.13580i 0.0670845 + 0.415693i
\(484\) 15.9537 + 15.0104i 0.725167 + 0.682291i
\(485\) 13.8572 0.629223
\(486\) 22.0251 + 0.945287i 0.999080 + 0.0428791i
\(487\) 40.2462i 1.82373i −0.410491 0.911865i \(-0.634643\pi\)
0.410491 0.911865i \(-0.365357\pi\)
\(488\) −23.5283 + 29.8820i −1.06508 + 1.35269i
\(489\) −31.6350 + 5.10525i −1.43058 + 0.230867i
\(490\) −3.28557 + 15.9671i −0.148427 + 0.721318i
\(491\) 2.47524 + 3.76342i 0.111706 + 0.169841i 0.887014 0.461743i \(-0.152776\pi\)
−0.775308 + 0.631583i \(0.782405\pi\)
\(492\) −9.64795 + 14.2565i −0.434963 + 0.642732i
\(493\) 22.3929 + 21.1266i 1.00853 + 0.951495i
\(494\) 4.50369 + 9.64101i 0.202630 + 0.433769i
\(495\) −1.64882 0.340414i −0.0741090 0.0153005i
\(496\) 0.0369059 + 13.5210i 0.00165712 + 0.607111i
\(497\) 4.22161 + 8.40592i 0.189365 + 0.377057i
\(498\) −21.7951 0.936437i −0.976661 0.0419628i
\(499\) 13.6127 + 31.5578i 0.609388 + 1.41272i 0.891359 + 0.453297i \(0.149752\pi\)
−0.281972 + 0.959423i \(0.590988\pi\)
\(500\) 17.3052 1.03161i 0.773910 0.0461350i
\(501\) 0.323423 0.296370i 0.0144495 0.0132408i
\(502\) 9.84858 18.2952i 0.439564 0.816555i
\(503\) −17.8569 + 14.9837i −0.796201 + 0.668092i −0.947272 0.320431i \(-0.896172\pi\)
0.151071 + 0.988523i \(0.451728\pi\)
\(504\) −13.2735 + 2.36882i −0.591247 + 0.105516i
\(505\) 28.5322 + 23.9413i 1.26967 + 1.06538i
\(506\) −0.962537 + 0.383152i −0.0427900 + 0.0170332i
\(507\) −7.54849 + 11.1215i −0.335240 + 0.493921i
\(508\) 0.109837 0.368711i 0.00487321 0.0163589i
\(509\) 7.46987 + 7.91760i 0.331096 + 0.350941i 0.871439 0.490503i \(-0.163187\pi\)
−0.540343 + 0.841445i \(0.681706\pi\)
\(510\) −18.7339 27.5594i −0.829549 1.22035i
\(511\) −7.77141 3.35226i −0.343787 0.148295i
\(512\) 5.99052 + 21.8200i 0.264746 + 0.964318i
\(513\) −16.6757 3.69629i −0.736249 0.163195i
\(514\) −13.4579 + 9.43700i −0.593602 + 0.416248i
\(515\) 0.833607 + 7.13196i 0.0367331 + 0.314272i
\(516\) 35.4246 + 0.466496i 1.55948 + 0.0205363i
\(517\) 0.0464717 + 0.196080i 0.00204382 + 0.00862357i
\(518\) −2.20070 14.9529i −0.0966931 0.656992i
\(519\) −18.3314 + 13.2376i −0.804661 + 0.581066i
\(520\) 0.519167 + 16.6688i 0.0227670 + 0.730976i
\(521\) 15.7785 + 2.78218i 0.691270 + 0.121890i 0.508237 0.861217i \(-0.330297\pi\)
0.183033 + 0.983107i \(0.441409\pi\)
\(522\) 22.7145 + 9.77909i 0.994188 + 0.428019i
\(523\) 2.64567 + 15.0043i 0.115687 + 0.656094i 0.986408 + 0.164316i \(0.0525417\pi\)
−0.870721 + 0.491778i \(0.836347\pi\)
\(524\) −11.0977 + 1.31248i −0.484803 + 0.0573362i
\(525\) 3.79492 2.41769i 0.165624 0.105517i
\(526\) 5.46098 8.86714i 0.238110 0.386626i
\(527\) 10.6611 14.3204i 0.464405 0.623804i
\(528\) −0.581464 1.39297i −0.0253050 0.0606210i
\(529\) 0.679982 11.6748i 0.0295644 0.507601i
\(530\) 0.749068 + 2.78795i 0.0325374 + 0.121101i
\(531\) −1.28798 + 8.79440i −0.0558936 + 0.381645i
\(532\) 10.4465 0.0142570i 0.452915 0.000618119i
\(533\) −11.0684 2.62325i −0.479424 0.113626i
\(534\) −2.80367 + 8.08424i −0.121327 + 0.349839i
\(535\) −2.93471 + 0.170927i −0.126878 + 0.00738983i
\(536\) −31.6213 + 17.1337i −1.36583 + 0.740063i
\(537\) 24.3856 + 21.0734i 1.05232 + 0.909383i
\(538\) −16.1703 + 3.35041i −0.697152 + 0.144446i
\(539\) 0.844361 0.487492i 0.0363692 0.0209978i
\(540\) −21.7240 15.6408i −0.934852 0.673075i
\(541\) 31.1544 + 17.9870i 1.33943 + 0.773323i 0.986723 0.162410i \(-0.0519266\pi\)
0.352711 + 0.935732i \(0.385260\pi\)
\(542\) −15.3052 5.06001i −0.657415 0.217346i
\(543\) −17.9475 + 30.0682i −0.770200 + 1.29035i
\(544\) 10.9360 27.8036i 0.468876 1.19207i
\(545\) 11.4775 22.8536i 0.491643 0.978942i
\(546\) −4.57183 7.64711i −0.195656 0.327266i
\(547\) −6.01837 20.1028i −0.257327 0.859532i −0.984844 0.173443i \(-0.944511\pi\)
0.727517 0.686090i \(-0.240674\pi\)
\(548\) −20.2243 + 35.1402i −0.863939 + 1.50111i
\(549\) 33.0442 23.1390i 1.41029 0.987546i
\(550\) 0.356439 + 0.355953i 0.0151986 + 0.0151779i
\(551\) −16.0084 10.5289i −0.681980 0.448545i
\(552\) −16.4578 0.684619i −0.700492 0.0291393i
\(553\) 17.6181 + 2.05926i 0.749196 + 0.0875684i
\(554\) −28.1537 + 15.2051i −1.19614 + 0.646005i
\(555\) 18.2665 23.8059i 0.775369 1.01051i
\(556\) −17.4536 + 13.0308i −0.740197 + 0.552628i
\(557\) 25.4176 + 9.25126i 1.07698 + 0.391989i 0.818783 0.574104i \(-0.194649\pi\)
0.258197 + 0.966092i \(0.416872\pi\)
\(558\) 4.10342 13.7417i 0.173711 0.581731i
\(559\) 8.00677 + 21.9984i 0.338650 + 0.930434i
\(560\) 15.0507 + 6.44358i 0.636009 + 0.272291i
\(561\) −0.487767 + 1.93246i −0.0205936 + 0.0815885i
\(562\) −14.2327 17.9750i −0.600371 0.758229i
\(563\) −42.3236 12.6709i −1.78373 0.534013i −0.787156 0.616753i \(-0.788448\pi\)
−0.996571 + 0.0827404i \(0.973633\pi\)
\(564\) −0.597866 + 3.14771i −0.0251747 + 0.132542i
\(565\) 34.9125 25.9914i 1.46878 1.09347i
\(566\) −44.3701 + 3.91239i −1.86501 + 0.164450i
\(567\) 14.2045 + 1.65959i 0.596531 + 0.0696961i
\(568\) −16.1640 + 4.36662i −0.678228 + 0.183219i
\(569\) 23.9351 17.8190i 1.00341 0.747012i 0.0357752 0.999360i \(-0.488610\pi\)
0.967637 + 0.252347i \(0.0812026\pi\)
\(570\) 14.4609 + 14.8671i 0.605700 + 0.622715i
\(571\) 7.10523 23.7331i 0.297345 0.993201i −0.670554 0.741861i \(-0.733944\pi\)
0.967899 0.251340i \(-0.0808713\pi\)
\(572\) 0.724570 0.685468i 0.0302958 0.0286609i
\(573\) −2.12200 + 0.601826i −0.0886479 + 0.0251417i
\(574\) −6.92023 + 8.76434i −0.288845 + 0.365816i
\(575\) 5.16557 1.88011i 0.215419 0.0784061i
\(576\) 0.599244 23.9925i 0.0249685 0.999688i
\(577\) −26.3866 9.60395i −1.09849 0.399818i −0.271731 0.962373i \(-0.587596\pi\)
−0.826760 + 0.562556i \(0.809818\pi\)
\(578\) −13.1082 + 8.09760i −0.545229 + 0.336816i
\(579\) −12.1097 + 5.01615i −0.503260 + 0.208464i
\(580\) −16.5353 25.0661i −0.686591 1.04081i
\(581\) −14.0560 1.64292i −0.583143 0.0681596i
\(582\) −3.97128 12.5649i −0.164615 0.520831i
\(583\) 0.0948774 0.144254i 0.00392942 0.00597439i
\(584\) 8.61574 12.3583i 0.356522 0.511391i
\(585\) 4.57773 17.0859i 0.189266 0.706416i
\(586\) 0.123445 + 0.0863120i 0.00509949 + 0.00356552i
\(587\) 32.5466 9.74380i 1.34334 0.402170i 0.467168 0.884169i \(-0.345274\pi\)
0.876172 + 0.481999i \(0.160089\pi\)
\(588\) 15.4196 1.59678i 0.635893 0.0658500i
\(589\) −4.98677 + 9.92947i −0.205476 + 0.409137i
\(590\) 7.16936 8.06723i 0.295158 0.332122i
\(591\) 0.628327 43.2324i 0.0258459 1.77834i
\(592\) 26.8614 + 1.49094i 1.10400 + 0.0612774i
\(593\) −3.43416 1.98271i −0.141024 0.0814202i 0.427828 0.903860i \(-0.359279\pi\)
−0.568852 + 0.822440i \(0.692612\pi\)
\(594\) 0.163862 + 1.59261i 0.00672336 + 0.0653456i
\(595\) −10.8087 18.7213i −0.443115 0.767498i
\(596\) 33.2679 10.0093i 1.36271 0.409995i
\(597\) 21.7071 7.54535i 0.888414 0.308811i
\(598\) −3.43073 10.3298i −0.140293 0.422415i
\(599\) −1.88103 32.2960i −0.0768567 1.31958i −0.787626 0.616153i \(-0.788690\pi\)
0.710770 0.703425i \(-0.248347\pi\)
\(600\) 2.86392 + 7.47978i 0.116919 + 0.305361i
\(601\) 0.0898906 + 0.0213045i 0.00366672 + 0.000869028i 0.232449 0.972609i \(-0.425326\pi\)
−0.228782 + 0.973478i \(0.573474\pi\)
\(602\) 22.8962 + 1.98742i 0.933180 + 0.0810010i
\(603\) 37.3582 7.71477i 1.52134 0.314170i
\(604\) −8.25302 + 3.01661i −0.335810 + 0.122744i
\(605\) −1.64037 + 28.1641i −0.0666907 + 1.14503i
\(606\) 13.5316 32.7325i 0.549686 1.32967i
\(607\) 26.8887 + 20.0179i 1.09138 + 0.812501i 0.983364 0.181648i \(-0.0581431\pi\)
0.108015 + 0.994149i \(0.465550\pi\)
\(608\) −3.69804 + 18.2234i −0.149975 + 0.739055i
\(609\) 14.2301 + 7.40753i 0.576634 + 0.300168i
\(610\) −48.9617 + 1.45808i −1.98240 + 0.0590359i
\(611\) −2.08499 + 0.367641i −0.0843498 + 0.0148731i
\(612\) −19.6203 + 24.8849i −0.793105 + 1.00591i
\(613\) −21.5784 3.80485i −0.871542 0.153676i −0.280048 0.959986i \(-0.590350\pi\)
−0.591494 + 0.806310i \(0.701462\pi\)
\(614\) −30.3377 4.42268i −1.22433 0.178485i
\(615\) −22.0557 + 2.25356i −0.889370 + 0.0908722i
\(616\) −0.309904 0.928864i −0.0124864 0.0374250i
\(617\) −7.22543 30.4865i −0.290885 1.22734i −0.900575 0.434700i \(-0.856855\pi\)
0.609691 0.792639i \(-0.291294\pi\)
\(618\) 6.22794 2.79979i 0.250524 0.112624i
\(619\) 34.4073 4.02164i 1.38295 0.161643i 0.608134 0.793834i \(-0.291918\pi\)
0.774813 + 0.632191i \(0.217844\pi\)
\(620\) −13.3246 + 11.2117i −0.535128 + 0.450272i
\(621\) 16.5030 + 5.73554i 0.662242 + 0.230159i
\(622\) −3.14865 + 6.76435i −0.126249 + 0.271226i
\(623\) −2.19854 + 5.09679i −0.0880827 + 0.204199i
\(624\) 14.9655 5.24780i 0.599100 0.210080i
\(625\) 20.9315 + 22.1861i 0.837259 + 0.887442i
\(626\) 1.86202 + 0.738262i 0.0744212 + 0.0295069i
\(627\) 0.0901135 1.23716i 0.00359879 0.0494076i
\(628\) 37.5442 18.9196i 1.49818 0.754976i
\(629\) −27.2115 22.8332i −1.08499 0.910418i
\(630\) −13.3104 11.1527i −0.530298 0.444336i
\(631\) −23.5142 28.0231i −0.936085 1.11558i −0.993107 0.117210i \(-0.962605\pi\)
0.0570222 0.998373i \(-0.481839\pi\)
\(632\) −9.86992 + 29.9912i −0.392604 + 1.19299i
\(633\) −4.14117 18.6786i −0.164597 0.742407i
\(634\) −25.1584 0.714853i −0.999168 0.0283904i
\(635\) 0.454967 0.196254i 0.0180548 0.00778809i
\(636\) 2.31327 1.47820i 0.0917272 0.0586143i
\(637\) 4.59731 + 9.15399i 0.182152 + 0.362694i
\(638\) −0.463654 + 1.73511i −0.0183562 + 0.0686939i
\(639\) 17.7516 + 0.516103i 0.702243 + 0.0204167i
\(640\) −16.6010 + 23.9514i −0.656214 + 0.946764i
\(641\) 24.4709 + 23.0871i 0.966544 + 0.911887i 0.996149 0.0876744i \(-0.0279435\pi\)
−0.0296052 + 0.999562i \(0.509425\pi\)
\(642\) 0.996033 + 2.61203i 0.0393103 + 0.103089i
\(643\) 36.4330 23.9624i 1.43678 0.944984i 0.437834 0.899056i \(-0.355746\pi\)
0.998945 0.0459285i \(-0.0146246\pi\)
\(644\) −10.6150 1.22604i −0.418291 0.0483126i
\(645\) 28.8180 + 35.3755i 1.13471 + 1.39291i
\(646\) 18.3301 16.3348i 0.721188 0.642685i
\(647\) −2.54488 −0.100050 −0.0500248 0.998748i \(-0.515930\pi\)
−0.0500248 + 0.998748i \(0.515930\pi\)
\(648\) −7.95639 + 24.1805i −0.312556 + 0.949899i
\(649\) −0.645495 −0.0253379
\(650\) −3.95120 + 3.52111i −0.154979 + 0.138109i
\(651\) 3.30863 8.69509i 0.129675 0.340787i
\(652\) 4.24546 36.7572i 0.166265 1.43952i
\(653\) −19.2181 + 12.6399i −0.752061 + 0.494638i −0.866737 0.498765i \(-0.833787\pi\)
0.114677 + 0.993403i \(0.463417\pi\)
\(654\) −24.0116 3.85760i −0.938928 0.150844i
\(655\) −10.4687 9.87669i −0.409045 0.385914i
\(656\) −12.8184 15.1920i −0.500474 0.593147i
\(657\) −12.5340 + 9.91104i −0.488996 + 0.386667i
\(658\) −0.536574 + 2.00800i −0.0209178 + 0.0782801i
\(659\) −12.5835 25.0558i −0.490184 0.976036i −0.993702 0.112052i \(-0.964258\pi\)
0.503518 0.863984i \(-0.332039\pi\)
\(660\) 0.895287 1.72563i 0.0348490 0.0671699i
\(661\) −23.1766 + 9.99742i −0.901466 + 0.388854i −0.795809 0.605548i \(-0.792954\pi\)
−0.105657 + 0.994403i \(0.533695\pi\)
\(662\) 41.0946 + 1.16766i 1.59719 + 0.0453826i
\(663\) −19.9709 6.29654i −0.775605 0.244537i
\(664\) 7.87442 23.9276i 0.305587 0.928571i
\(665\) 8.64823 + 10.3066i 0.335364 + 0.399671i
\(666\) −26.8207 9.74051i −1.03928 0.377437i
\(667\) 15.0137 + 12.5980i 0.581332 + 0.487796i
\(668\) 0.227953 + 0.452350i 0.00881975 + 0.0175020i
\(669\) 27.9009 13.5083i 1.07871 0.522259i
\(670\) −43.0587 17.0721i −1.66350 0.659554i
\(671\) 2.01045 + 2.13095i 0.0776125 + 0.0822645i
\(672\) 1.52932 15.4937i 0.0589950 0.597684i
\(673\) 17.7356 41.1158i 0.683658 1.58490i −0.122009 0.992529i \(-0.538934\pi\)
0.805667 0.592369i \(-0.201807\pi\)
\(674\) 2.44158 5.24532i 0.0940461 0.202042i
\(675\) −0.617539 8.47269i −0.0237691 0.326114i
\(676\) −9.99266 11.8758i −0.384333 0.456763i
\(677\) 42.3887 4.95453i 1.62913 0.190418i 0.748136 0.663545i \(-0.230949\pi\)
0.880994 + 0.473127i \(0.156875\pi\)
\(678\) −33.5729 24.2078i −1.28936 0.929694i
\(679\) −1.97139 8.31797i −0.0756552 0.319214i
\(680\) 36.5011 12.1781i 1.39975 0.467010i
\(681\) −4.91933 + 10.9634i −0.188509 + 0.420118i
\(682\) 1.03062 + 0.150245i 0.0394645 + 0.00575319i
\(683\) −23.2079 4.09218i −0.888026 0.156583i −0.289016 0.957324i \(-0.593328\pi\)
−0.599010 + 0.800741i \(0.704439\pi\)
\(684\) 9.33632 17.3730i 0.356983 0.664272i
\(685\) −51.4245 + 9.06753i −1.96483 + 0.346452i
\(686\) 25.7753 0.767588i 0.984105 0.0293066i
\(687\) 1.23371 + 28.2489i 0.0470689 + 1.07776i
\(688\) −11.6256 + 39.2217i −0.443224 + 1.49531i
\(689\) 1.45507 + 1.08326i 0.0554336 + 0.0412688i
\(690\) −12.9263 16.8217i −0.492097 0.640392i
\(691\) −1.09091 + 18.7302i −0.0415002 + 0.712532i 0.911824 + 0.410582i \(0.134674\pi\)
−0.953324 + 0.301950i \(0.902363\pi\)
\(692\) −8.96341 24.5226i −0.340738 0.932209i
\(693\) 0.0302316 + 1.03816i 0.00114840 + 0.0394363i
\(694\) 8.29354 + 0.719888i 0.314818 + 0.0273266i
\(695\) −27.2964 6.46937i −1.03541 0.245397i
\(696\) −17.9897 + 22.1768i −0.681897 + 0.840611i
\(697\) 1.52606 + 26.2014i 0.0578035 + 0.992448i
\(698\) 6.36964 + 19.1787i 0.241095 + 0.725923i
\(699\) −1.31319 + 6.86273i −0.0496694 + 0.259572i
\(700\) 1.49694 + 4.97541i 0.0565791 + 0.188053i
\(701\) −14.6125 25.3096i −0.551906 0.955929i −0.998137 0.0610112i \(-0.980567\pi\)
0.446231 0.894918i \(-0.352766\pi\)
\(702\) −16.8044 + 0.745777i −0.634241 + 0.0281475i
\(703\) 19.1463 + 11.0541i 0.722115 + 0.416913i
\(704\) 1.73034 0.209432i 0.0652146 0.00789328i
\(705\) −3.60322 + 2.01108i −0.135705 + 0.0757416i
\(706\) 17.1899 19.3427i 0.646952 0.727974i
\(707\) 10.3120 20.5328i 0.387822 0.772217i
\(708\) −9.36952 4.18880i −0.352128 0.157425i
\(709\) −6.03563 + 1.80695i −0.226673 + 0.0678614i −0.398126 0.917331i \(-0.630339\pi\)
0.171453 + 0.985192i \(0.445154\pi\)
\(710\) −17.6727 12.3566i −0.663246 0.463736i
\(711\) 19.2077 27.4329i 0.720347 1.02881i
\(712\) −8.10507 5.65054i −0.303750 0.211763i
\(713\) 6.24551 9.49584i 0.233896 0.355622i
\(714\) −13.8777 + 15.1660i −0.519360 + 0.567573i
\(715\) 1.27592 + 0.149134i 0.0477167 + 0.00557728i
\(716\) −31.0652 + 20.4927i −1.16096 + 0.765847i
\(717\) 1.32261 10.0471i 0.0493936 0.375216i
\(718\) −41.1440 + 25.4168i −1.53548 + 0.948546i
\(719\) −8.68065 3.15950i −0.323734 0.117829i 0.175041 0.984561i \(-0.443994\pi\)
−0.498775 + 0.866732i \(0.666216\pi\)
\(720\) 24.1934 19.2381i 0.901634 0.716962i
\(721\) 4.16247 1.51501i 0.155018 0.0564221i
\(722\) 7.18182 9.09565i 0.267280 0.338505i
\(723\) −11.4932 11.1634i −0.427438 0.415172i
\(724\) −27.7879 29.3730i −1.03273 1.09164i
\(725\) 2.73316 9.12938i 0.101507 0.339057i
\(726\) 26.0077 6.58406i 0.965235 0.244357i
\(727\) −30.1438 + 22.4412i −1.11797 + 0.832299i −0.987259 0.159122i \(-0.949134\pi\)
−0.130712 + 0.991420i \(0.541726\pi\)
\(728\) 9.93183 2.68303i 0.368098 0.0994397i
\(729\) 15.4850 22.1182i 0.573519 0.819192i
\(730\) 19.3276 1.70424i 0.715348 0.0630768i
\(731\) 43.3267 32.2555i 1.60250 1.19301i
\(732\) 15.3538 + 43.9776i 0.567494 + 1.62546i
\(733\) 4.69850 + 1.40664i 0.173543 + 0.0519554i 0.372396 0.928074i \(-0.378536\pi\)
−0.198853 + 0.980029i \(0.563722\pi\)
\(734\) −15.5050 19.5818i −0.572299 0.722776i
\(735\) 14.3216 + 13.9106i 0.528260 + 0.513101i
\(736\) 5.92110 18.0752i 0.218255 0.666261i
\(737\) 0.947512 + 2.60327i 0.0349020 + 0.0958926i
\(738\) 8.36424 + 19.3529i 0.307892 + 0.712391i
\(739\) 2.70081 + 0.983013i 0.0993508 + 0.0361607i 0.391217 0.920298i \(-0.372054\pi\)
−0.291867 + 0.956459i \(0.594276\pi\)
\(740\) 20.7285 + 27.7641i 0.761996 + 1.02063i
\(741\) 12.9211 + 1.70094i 0.474669 + 0.0624857i
\(742\) 1.56694 0.846266i 0.0575241 0.0310674i
\(743\) 48.9922 + 5.72637i 1.79735 + 0.210080i 0.948114 0.317931i \(-0.102988\pi\)
0.849237 + 0.528011i \(0.177062\pi\)
\(744\) 13.9847 + 8.86882i 0.512705 + 0.325147i
\(745\) 37.3826 + 24.5869i 1.36959 + 0.900796i
\(746\) −2.07928 2.07644i −0.0761279 0.0760240i
\(747\) −15.3243 + 21.8865i −0.560688 + 0.800785i
\(748\) −1.99464 1.14798i −0.0729311 0.0419742i
\(749\) 0.520108 + 1.73728i 0.0190043 + 0.0634789i
\(750\) 10.3346 18.5471i 0.377366 0.677244i
\(751\) −23.2246 + 46.2440i −0.847479 + 1.68747i −0.129305 + 0.991605i \(0.541275\pi\)
−0.718174 + 0.695864i \(0.755022\pi\)
\(752\) −3.31064 1.65137i −0.120727 0.0602191i
\(753\) −12.4020 22.2206i −0.451955 0.809762i
\(754\) −17.9157 5.92306i −0.652452 0.215705i
\(755\) −9.80078 5.65848i −0.356687 0.205933i
\(756\) −6.29806 + 15.2653i −0.229058 + 0.555193i
\(757\) −32.5932 + 18.8177i −1.18462 + 0.683942i −0.957079 0.289827i \(-0.906402\pi\)
−0.227542 + 0.973768i \(0.573069\pi\)
\(758\) 3.43411 0.711530i 0.124732 0.0258439i
\(759\) −0.238465 + 1.24622i −0.00865573 + 0.0452348i
\(760\) −21.0562 + 11.4091i −0.763789 + 0.413852i
\(761\) −22.8600 + 1.33144i −0.828674 + 0.0482648i −0.467237 0.884132i \(-0.654751\pi\)
−0.361437 + 0.932397i \(0.617714\pi\)
\(762\) −0.308338 0.356293i −0.0111699 0.0129071i
\(763\) −15.3510 3.63827i −0.555745 0.131714i
\(764\) −0.00347592 2.54691i −0.000125754 0.0921441i
\(765\) −40.7959 + 1.18800i −1.47498 + 0.0429521i
\(766\) −2.48652 9.25454i −0.0898415 0.334380i
\(767\) 0.394328 6.77036i 0.0142384 0.244463i
\(768\) 26.4754 + 8.18869i 0.955348 + 0.295484i
\(769\) −6.94801 + 9.33280i −0.250552 + 0.336549i −0.909550 0.415596i \(-0.863573\pi\)
0.658998 + 0.752145i \(0.270981\pi\)
\(770\) 0.661328 1.07381i 0.0238326 0.0386976i
\(771\) 0.878338 + 20.1118i 0.0316326 + 0.724310i
\(772\) −1.77760 15.0304i −0.0639773 0.540958i