Properties

Label 403.2.k.e.66.10
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.k (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(17\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 66.10
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.165656 + 0.509838i) q^{2} +(0.987660 - 3.03970i) q^{3} +(1.38554 - 1.00665i) q^{4} -3.75225 q^{5} +1.71337 q^{6} +(1.77021 - 1.28613i) q^{7} +(1.61014 + 1.16984i) q^{8} +(-5.83728 - 4.24103i) q^{9} +O(q^{10})\) \(q+(0.165656 + 0.509838i) q^{2} +(0.987660 - 3.03970i) q^{3} +(1.38554 - 1.00665i) q^{4} -3.75225 q^{5} +1.71337 q^{6} +(1.77021 - 1.28613i) q^{7} +(1.61014 + 1.16984i) q^{8} +(-5.83728 - 4.24103i) q^{9} +(-0.621584 - 1.91304i) q^{10} +(-1.96727 + 1.42931i) q^{11} +(-1.69149 - 5.20587i) q^{12} +(0.309017 - 0.951057i) q^{13} +(0.948968 + 0.689465i) q^{14} +(-3.70595 + 11.4057i) q^{15} +(0.728762 - 2.24290i) q^{16} +(2.91030 + 2.11446i) q^{17} +(1.19526 - 3.67862i) q^{18} +(0.603093 + 1.85613i) q^{19} +(-5.19890 + 3.77722i) q^{20} +(-2.16110 - 6.65119i) q^{21} +(-1.05461 - 0.766217i) q^{22} +(-0.657174 - 0.477465i) q^{23} +(5.14623 - 3.73896i) q^{24} +9.07937 q^{25} +0.536075 q^{26} +(-10.8995 + 7.91898i) q^{27} +(1.15801 - 3.56399i) q^{28} +(-2.17818 - 6.70376i) q^{29} -6.42899 q^{30} +(4.95384 + 2.54154i) q^{31} +5.24473 q^{32} +(2.40168 + 7.39160i) q^{33} +(-0.595920 + 1.83405i) q^{34} +(-6.64228 + 4.82590i) q^{35} -12.3570 q^{36} -1.77861 q^{37} +(-0.846419 + 0.614960i) q^{38} +(-2.58573 - 1.87864i) q^{39} +(-6.04166 - 4.38952i) q^{40} +(-0.899707 - 2.76901i) q^{41} +(3.03303 - 2.20362i) q^{42} +(-2.92136 - 8.99102i) q^{43} +(-1.28692 + 3.96073i) q^{44} +(21.9029 + 15.9134i) q^{45} +(0.134565 - 0.414147i) q^{46} +(-0.272966 + 0.840101i) q^{47} +(-6.09798 - 4.43044i) q^{48} +(-0.683609 + 2.10393i) q^{49} +(1.50406 + 4.62901i) q^{50} +(9.30171 - 6.75808i) q^{51} +(-0.529230 - 1.62880i) q^{52} +(10.8857 + 7.90892i) q^{53} +(-5.84298 - 4.24517i) q^{54} +(7.38170 - 5.36312i) q^{55} +4.35486 q^{56} +6.23774 q^{57} +(3.05700 - 2.22104i) q^{58} +(4.40280 - 13.5504i) q^{59} +(6.34689 + 19.5337i) q^{60} +14.8865 q^{61} +(-0.475140 + 2.94668i) q^{62} -15.7878 q^{63} +(-0.588701 - 1.81184i) q^{64} +(-1.15951 + 3.56860i) q^{65} +(-3.37067 + 2.44893i) q^{66} -2.30645 q^{67} +6.16087 q^{68} +(-2.10042 + 1.52604i) q^{69} +(-3.56076 - 2.58705i) q^{70} +(3.13269 + 2.27604i) q^{71} +(-4.43754 - 13.6573i) q^{72} +(0.864488 - 0.628087i) q^{73} +(-0.294638 - 0.906802i) q^{74} +(8.96733 - 27.5986i) q^{75} +(2.70409 + 1.96464i) q^{76} +(-1.64421 + 5.06036i) q^{77} +(0.529460 - 1.62951i) q^{78} +(-2.27427 - 1.65236i) q^{79} +(-2.73450 + 8.41592i) q^{80} +(6.61740 + 20.3663i) q^{81} +(1.26271 - 0.917410i) q^{82} +(4.46980 + 13.7566i) q^{83} +(-9.68974 - 7.04001i) q^{84} +(-10.9202 - 7.93396i) q^{85} +(4.10002 - 2.97884i) q^{86} -22.5287 q^{87} -4.83965 q^{88} +(-5.84766 + 4.24857i) q^{89} +(-4.48490 + 13.8031i) q^{90} +(-0.676161 - 2.08101i) q^{91} -1.39118 q^{92} +(12.6183 - 12.5480i) q^{93} -0.473534 q^{94} +(-2.26296 - 6.96466i) q^{95} +(5.18001 - 15.9424i) q^{96} +(-6.99394 + 5.08139i) q^{97} -1.18591 q^{98} +17.5453 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.165656 + 0.509838i 0.117137 + 0.360510i 0.992387 0.123161i \(-0.0393032\pi\)
−0.875250 + 0.483671i \(0.839303\pi\)
\(3\) 0.987660 3.03970i 0.570226 1.75497i −0.0816637 0.996660i \(-0.526023\pi\)
0.651889 0.758314i \(-0.273977\pi\)
\(4\) 1.38554 1.00665i 0.692771 0.503327i
\(5\) −3.75225 −1.67806 −0.839028 0.544088i \(-0.816876\pi\)
−0.839028 + 0.544088i \(0.816876\pi\)
\(6\) 1.71337 0.699480
\(7\) 1.77021 1.28613i 0.669078 0.486113i −0.200639 0.979665i \(-0.564302\pi\)
0.869716 + 0.493552i \(0.164302\pi\)
\(8\) 1.61014 + 1.16984i 0.569271 + 0.413600i
\(9\) −5.83728 4.24103i −1.94576 1.41368i
\(10\) −0.621584 1.91304i −0.196562 0.604956i
\(11\) −1.96727 + 1.42931i −0.593155 + 0.430953i −0.843443 0.537219i \(-0.819475\pi\)
0.250287 + 0.968172i \(0.419475\pi\)
\(12\) −1.69149 5.20587i −0.488291 1.50280i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) 0.948968 + 0.689465i 0.253622 + 0.184267i
\(15\) −3.70595 + 11.4057i −0.956871 + 2.94495i
\(16\) 0.728762 2.24290i 0.182191 0.560725i
\(17\) 2.91030 + 2.11446i 0.705851 + 0.512831i 0.881833 0.471563i \(-0.156310\pi\)
−0.175981 + 0.984393i \(0.556310\pi\)
\(18\) 1.19526 3.67862i 0.281725 0.867059i
\(19\) 0.603093 + 1.85613i 0.138359 + 0.425825i 0.996097 0.0882612i \(-0.0281310\pi\)
−0.857738 + 0.514087i \(0.828131\pi\)
\(20\) −5.19890 + 3.77722i −1.16251 + 0.844612i
\(21\) −2.16110 6.65119i −0.471591 1.45141i
\(22\) −1.05461 0.766217i −0.224843 0.163358i
\(23\) −0.657174 0.477465i −0.137030 0.0995583i 0.517158 0.855890i \(-0.326990\pi\)
−0.654189 + 0.756331i \(0.726990\pi\)
\(24\) 5.14623 3.73896i 1.05047 0.763211i
\(25\) 9.07937 1.81587
\(26\) 0.536075 0.105133
\(27\) −10.8995 + 7.91898i −2.09762 + 1.52401i
\(28\) 1.15801 3.56399i 0.218843 0.673530i
\(29\) −2.17818 6.70376i −0.404478 1.24486i −0.921330 0.388781i \(-0.872896\pi\)
0.516852 0.856075i \(-0.327104\pi\)
\(30\) −6.42899 −1.17377
\(31\) 4.95384 + 2.54154i 0.889736 + 0.456475i
\(32\) 5.24473 0.927146
\(33\) 2.40168 + 7.39160i 0.418078 + 1.28671i
\(34\) −0.595920 + 1.83405i −0.102199 + 0.314538i
\(35\) −6.64228 + 4.82590i −1.12275 + 0.815726i
\(36\) −12.3570 −2.05951
\(37\) −1.77861 −0.292401 −0.146201 0.989255i \(-0.546705\pi\)
−0.146201 + 0.989255i \(0.546705\pi\)
\(38\) −0.846419 + 0.614960i −0.137307 + 0.0997596i
\(39\) −2.58573 1.87864i −0.414048 0.300823i
\(40\) −6.04166 4.38952i −0.955270 0.694044i
\(41\) −0.899707 2.76901i −0.140511 0.432447i 0.855896 0.517148i \(-0.173006\pi\)
−0.996406 + 0.0847011i \(0.973006\pi\)
\(42\) 3.03303 2.20362i 0.468006 0.340026i
\(43\) −2.92136 8.99102i −0.445503 1.37112i −0.881931 0.471379i \(-0.843756\pi\)
0.436428 0.899739i \(-0.356244\pi\)
\(44\) −1.28692 + 3.96073i −0.194010 + 0.597103i
\(45\) 21.9029 + 15.9134i 3.26510 + 2.37223i
\(46\) 0.134565 0.414147i 0.0198405 0.0610627i
\(47\) −0.272966 + 0.840101i −0.0398161 + 0.122541i −0.968989 0.247104i \(-0.920521\pi\)
0.929173 + 0.369646i \(0.120521\pi\)
\(48\) −6.09798 4.43044i −0.880168 0.639479i
\(49\) −0.683609 + 2.10393i −0.0976584 + 0.300562i
\(50\) 1.50406 + 4.62901i 0.212706 + 0.654641i
\(51\) 9.30171 6.75808i 1.30250 0.946321i
\(52\) −0.529230 1.62880i −0.0733909 0.225874i
\(53\) 10.8857 + 7.90892i 1.49527 + 1.08637i 0.972220 + 0.234070i \(0.0752044\pi\)
0.523046 + 0.852305i \(0.324796\pi\)
\(54\) −5.84298 4.24517i −0.795129 0.577695i
\(55\) 7.38170 5.36312i 0.995349 0.723163i
\(56\) 4.35486 0.581943
\(57\) 6.23774 0.826208
\(58\) 3.05700 2.22104i 0.401404 0.291637i
\(59\) 4.40280 13.5504i 0.573196 1.76412i −0.0690449 0.997614i \(-0.521995\pi\)
0.642241 0.766503i \(-0.278005\pi\)
\(60\) 6.34689 + 19.5337i 0.819380 + 2.52179i
\(61\) 14.8865 1.90602 0.953010 0.302939i \(-0.0979678\pi\)
0.953010 + 0.302939i \(0.0979678\pi\)
\(62\) −0.475140 + 2.94668i −0.0603428 + 0.374229i
\(63\) −15.7878 −1.98907
\(64\) −0.588701 1.81184i −0.0735876 0.226479i
\(65\) −1.15951 + 3.56860i −0.143819 + 0.442630i
\(66\) −3.37067 + 2.44893i −0.414900 + 0.301443i
\(67\) −2.30645 −0.281777 −0.140889 0.990025i \(-0.544996\pi\)
−0.140889 + 0.990025i \(0.544996\pi\)
\(68\) 6.16087 0.747115
\(69\) −2.10042 + 1.52604i −0.252860 + 0.183714i
\(70\) −3.56076 2.58705i −0.425592 0.309211i
\(71\) 3.13269 + 2.27604i 0.371782 + 0.270116i 0.757950 0.652313i \(-0.226201\pi\)
−0.386167 + 0.922429i \(0.626201\pi\)
\(72\) −4.43754 13.6573i −0.522969 1.60953i
\(73\) 0.864488 0.628087i 0.101181 0.0735121i −0.536045 0.844190i \(-0.680082\pi\)
0.637225 + 0.770678i \(0.280082\pi\)
\(74\) −0.294638 0.906802i −0.0342510 0.105414i
\(75\) 8.96733 27.5986i 1.03546 3.18681i
\(76\) 2.70409 + 1.96464i 0.310181 + 0.225359i
\(77\) −1.64421 + 5.06036i −0.187375 + 0.576682i
\(78\) 0.529460 1.62951i 0.0599496 0.184506i
\(79\) −2.27427 1.65236i −0.255876 0.185904i 0.452451 0.891789i \(-0.350550\pi\)
−0.708327 + 0.705885i \(0.750550\pi\)
\(80\) −2.73450 + 8.41592i −0.305726 + 0.940928i
\(81\) 6.61740 + 20.3663i 0.735267 + 2.26292i
\(82\) 1.26271 0.917410i 0.139443 0.101311i
\(83\) 4.46980 + 13.7566i 0.490625 + 1.50999i 0.823666 + 0.567075i \(0.191925\pi\)
−0.333041 + 0.942912i \(0.608075\pi\)
\(84\) −9.68974 7.04001i −1.05724 0.768128i
\(85\) −10.9202 7.93396i −1.18446 0.860559i
\(86\) 4.10002 2.97884i 0.442117 0.321217i
\(87\) −22.5287 −2.41533
\(88\) −4.83965 −0.515908
\(89\) −5.84766 + 4.24857i −0.619851 + 0.450348i −0.852869 0.522124i \(-0.825140\pi\)
0.233019 + 0.972472i \(0.425140\pi\)
\(90\) −4.48490 + 13.8031i −0.472750 + 1.45497i
\(91\) −0.676161 2.08101i −0.0708809 0.218149i
\(92\) −1.39118 −0.145041
\(93\) 12.6183 12.5480i 1.30845 1.30117i
\(94\) −0.473534 −0.0488413
\(95\) −2.26296 6.96466i −0.232174 0.714559i
\(96\) 5.18001 15.9424i 0.528683 1.62712i
\(97\) −6.99394 + 5.08139i −0.710127 + 0.515937i −0.883214 0.468969i \(-0.844626\pi\)
0.173088 + 0.984906i \(0.444626\pi\)
\(98\) −1.18591 −0.119795
\(99\) 17.5453 1.76337
\(100\) 12.5798 9.13979i 1.25798 0.913979i
\(101\) 1.36483 + 0.991609i 0.135806 + 0.0986688i 0.653614 0.756828i \(-0.273252\pi\)
−0.517808 + 0.855497i \(0.673252\pi\)
\(102\) 4.98642 + 3.62284i 0.493729 + 0.358715i
\(103\) 5.55699 + 17.1026i 0.547546 + 1.68517i 0.714858 + 0.699270i \(0.246491\pi\)
−0.167312 + 0.985904i \(0.553509\pi\)
\(104\) 1.61014 1.16984i 0.157887 0.114712i
\(105\) 8.10899 + 24.9569i 0.791356 + 2.43554i
\(106\) −2.22898 + 6.86011i −0.216498 + 0.666312i
\(107\) −7.46837 5.42609i −0.721994 0.524560i 0.165026 0.986289i \(-0.447229\pi\)
−0.887021 + 0.461729i \(0.847229\pi\)
\(108\) −7.13009 + 21.9442i −0.686093 + 2.11158i
\(109\) −1.49225 + 4.59267i −0.142932 + 0.439898i −0.996739 0.0806905i \(-0.974287\pi\)
0.853808 + 0.520589i \(0.174287\pi\)
\(110\) 3.95715 + 2.87504i 0.377299 + 0.274124i
\(111\) −1.75666 + 5.40644i −0.166735 + 0.513157i
\(112\) −1.59461 4.90770i −0.150676 0.463734i
\(113\) 7.17438 5.21249i 0.674909 0.490350i −0.196756 0.980452i \(-0.563041\pi\)
0.871665 + 0.490103i \(0.163041\pi\)
\(114\) 1.03332 + 3.18024i 0.0967794 + 0.297856i
\(115\) 2.46588 + 1.79157i 0.229944 + 0.167064i
\(116\) −9.76633 7.09565i −0.906781 0.658815i
\(117\) −5.83728 + 4.24103i −0.539657 + 0.392084i
\(118\) 7.63788 0.703124
\(119\) 7.87132 0.721563
\(120\) −19.3099 + 14.0295i −1.76275 + 1.28071i
\(121\) −1.57194 + 4.83794i −0.142904 + 0.439813i
\(122\) 2.46604 + 7.58970i 0.223265 + 0.687139i
\(123\) −9.30559 −0.839057
\(124\) 9.42221 1.46539i 0.846139 0.131596i
\(125\) −15.3068 −1.36908
\(126\) −2.61534 8.04920i −0.232993 0.717080i
\(127\) −3.66691 + 11.2856i −0.325385 + 1.00143i 0.645881 + 0.763438i \(0.276490\pi\)
−0.971266 + 0.237995i \(0.923510\pi\)
\(128\) 9.31237 6.76584i 0.823105 0.598021i
\(129\) −30.2154 −2.66031
\(130\) −2.01149 −0.176419
\(131\) −16.7654 + 12.1808i −1.46480 + 1.06424i −0.482717 + 0.875776i \(0.660350\pi\)
−0.982081 + 0.188461i \(0.939650\pi\)
\(132\) 10.7684 + 7.82371i 0.937270 + 0.680967i
\(133\) 3.45484 + 2.51009i 0.299572 + 0.217652i
\(134\) −0.382078 1.17591i −0.0330065 0.101584i
\(135\) 40.8978 29.7140i 3.51992 2.55737i
\(136\) 2.21243 + 6.80915i 0.189714 + 0.583880i
\(137\) 3.62276 11.1497i 0.309513 0.952584i −0.668441 0.743765i \(-0.733038\pi\)
0.977954 0.208819i \(-0.0669618\pi\)
\(138\) −1.12598 0.818073i −0.0958499 0.0696390i
\(139\) −2.37166 + 7.29922i −0.201162 + 0.619112i 0.798688 + 0.601746i \(0.205528\pi\)
−0.999849 + 0.0173658i \(0.994472\pi\)
\(140\) −4.34514 + 13.3730i −0.367231 + 1.13022i
\(141\) 2.28406 + 1.65947i 0.192353 + 0.139752i
\(142\) −0.641459 + 1.97421i −0.0538300 + 0.165672i
\(143\) 0.751432 + 2.31267i 0.0628379 + 0.193395i
\(144\) −13.7662 + 10.0017i −1.14718 + 0.833477i
\(145\) 8.17308 + 25.1542i 0.678738 + 2.08894i
\(146\) 0.463431 + 0.336702i 0.0383538 + 0.0278657i
\(147\) 5.72016 + 4.15594i 0.471791 + 0.342776i
\(148\) −2.46434 + 1.79044i −0.202567 + 0.147174i
\(149\) 12.9281 1.05911 0.529557 0.848274i \(-0.322358\pi\)
0.529557 + 0.848274i \(0.322358\pi\)
\(150\) 15.5563 1.27017
\(151\) 4.13994 3.00784i 0.336904 0.244775i −0.406451 0.913673i \(-0.633234\pi\)
0.743354 + 0.668898i \(0.233234\pi\)
\(152\) −1.20030 + 3.69415i −0.0973575 + 0.299636i
\(153\) −8.02075 24.6853i −0.648439 1.99569i
\(154\) −2.85234 −0.229848
\(155\) −18.5880 9.53650i −1.49303 0.765990i
\(156\) −5.47377 −0.438253
\(157\) −2.13612 6.57430i −0.170481 0.524686i 0.828917 0.559371i \(-0.188957\pi\)
−0.999398 + 0.0346848i \(0.988957\pi\)
\(158\) 0.465686 1.43323i 0.0370480 0.114022i
\(159\) 34.7922 25.2780i 2.75920 2.00467i
\(160\) −19.6795 −1.55580
\(161\) −1.77742 −0.140080
\(162\) −9.28728 + 6.74760i −0.729678 + 0.530142i
\(163\) −20.0374 14.5580i −1.56945 1.14027i −0.927682 0.373371i \(-0.878202\pi\)
−0.641766 0.766900i \(-0.721798\pi\)
\(164\) −4.03402 2.93089i −0.315004 0.228864i
\(165\) −9.01169 27.7351i −0.701559 2.15918i
\(166\) −6.27321 + 4.55775i −0.486895 + 0.353750i
\(167\) 2.89145 + 8.89898i 0.223747 + 0.688624i 0.998416 + 0.0562568i \(0.0179166\pi\)
−0.774669 + 0.632367i \(0.782083\pi\)
\(168\) 4.30112 13.2375i 0.331839 1.02130i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) 2.23604 6.88183i 0.171497 0.527812i
\(171\) 4.35148 13.3925i 0.332766 1.02415i
\(172\) −13.0985 9.51663i −0.998753 0.725636i
\(173\) 2.40908 7.41438i 0.183159 0.563705i −0.816753 0.576988i \(-0.804228\pi\)
0.999912 + 0.0132826i \(0.00422810\pi\)
\(174\) −3.73203 11.4860i −0.282924 0.870752i
\(175\) 16.0724 11.6773i 1.21496 0.882721i
\(176\) 1.77212 + 5.45402i 0.133579 + 0.411113i
\(177\) −36.8408 26.7664i −2.76913 2.01189i
\(178\) −3.13479 2.27756i −0.234962 0.170710i
\(179\) 1.81988 1.32222i 0.136024 0.0988275i −0.517692 0.855567i \(-0.673209\pi\)
0.653717 + 0.756739i \(0.273209\pi\)
\(180\) 46.3667 3.45597
\(181\) −7.43335 −0.552516 −0.276258 0.961083i \(-0.589094\pi\)
−0.276258 + 0.961083i \(0.589094\pi\)
\(182\) 0.948968 0.689465i 0.0703422 0.0511066i
\(183\) 14.7028 45.2505i 1.08686 3.34502i
\(184\) −0.499588 1.53757i −0.0368301 0.113351i
\(185\) 6.67378 0.490666
\(186\) 8.48776 + 4.35460i 0.622353 + 0.319295i
\(187\) −8.74756 −0.639685
\(188\) 0.467487 + 1.43878i 0.0340950 + 0.104934i
\(189\) −9.10964 + 28.0366i −0.662628 + 2.03936i
\(190\) 3.17598 2.30748i 0.230409 0.167402i
\(191\) 4.47355 0.323695 0.161847 0.986816i \(-0.448255\pi\)
0.161847 + 0.986816i \(0.448255\pi\)
\(192\) −6.08888 −0.439427
\(193\) 3.33841 2.42549i 0.240304 0.174591i −0.461115 0.887340i \(-0.652550\pi\)
0.701419 + 0.712750i \(0.252550\pi\)
\(194\) −3.74928 2.72401i −0.269182 0.195572i
\(195\) 9.70229 + 7.04913i 0.694795 + 0.504798i
\(196\) 1.17076 + 3.60324i 0.0836260 + 0.257374i
\(197\) −17.5453 + 12.7474i −1.25005 + 0.908214i −0.998225 0.0595592i \(-0.981030\pi\)
−0.251824 + 0.967773i \(0.581030\pi\)
\(198\) 2.90649 + 8.94525i 0.206555 + 0.635711i
\(199\) −5.31284 + 16.3512i −0.376617 + 1.15911i 0.565764 + 0.824567i \(0.308581\pi\)
−0.942381 + 0.334541i \(0.891419\pi\)
\(200\) 14.6191 + 10.6214i 1.03373 + 0.751045i
\(201\) −2.27799 + 7.01092i −0.160677 + 0.494512i
\(202\) −0.279467 + 0.860110i −0.0196632 + 0.0605171i
\(203\) −12.4778 9.06564i −0.875768 0.636283i
\(204\) 6.08484 18.7272i 0.426024 1.31117i
\(205\) 3.37592 + 10.3900i 0.235785 + 0.725671i
\(206\) −7.79903 + 5.66633i −0.543384 + 0.394792i
\(207\) 1.81116 + 5.57419i 0.125885 + 0.387433i
\(208\) −1.90792 1.38619i −0.132291 0.0961149i
\(209\) −3.83943 2.78951i −0.265579 0.192954i
\(210\) −11.3807 + 8.26854i −0.785341 + 0.570584i
\(211\) 15.4297 1.06222 0.531111 0.847302i \(-0.321775\pi\)
0.531111 + 0.847302i \(0.321775\pi\)
\(212\) 23.0441 1.58268
\(213\) 10.0125 7.27452i 0.686046 0.498442i
\(214\) 1.52924 4.70652i 0.104537 0.321731i
\(215\) 10.9617 + 33.7366i 0.747580 + 2.30081i
\(216\) −26.8138 −1.82444
\(217\) 12.0381 1.87224i 0.817201 0.127096i
\(218\) −2.58872 −0.175330
\(219\) −1.05538 3.24812i −0.0713160 0.219488i
\(220\) 4.82884 14.8616i 0.325561 1.00197i
\(221\) 2.91030 2.11446i 0.195768 0.142234i
\(222\) −3.04741 −0.204529
\(223\) 9.73481 0.651891 0.325945 0.945389i \(-0.394317\pi\)
0.325945 + 0.945389i \(0.394317\pi\)
\(224\) 9.28429 6.74543i 0.620333 0.450698i
\(225\) −52.9988 38.5059i −3.53325 2.56706i
\(226\) 3.84601 + 2.79429i 0.255833 + 0.185873i
\(227\) −6.18219 19.0268i −0.410326 1.26285i −0.916365 0.400344i \(-0.868891\pi\)
0.506039 0.862511i \(-0.331109\pi\)
\(228\) 8.64264 6.27925i 0.572373 0.415853i
\(229\) 7.92757 + 24.3985i 0.523868 + 1.61230i 0.766543 + 0.642193i \(0.221975\pi\)
−0.242674 + 0.970108i \(0.578025\pi\)
\(230\) −0.504920 + 1.55398i −0.0332934 + 0.102467i
\(231\) 13.7581 + 9.99583i 0.905215 + 0.657677i
\(232\) 4.33512 13.3421i 0.284614 0.875953i
\(233\) −2.25671 + 6.94545i −0.147842 + 0.455011i −0.997366 0.0725396i \(-0.976890\pi\)
0.849523 + 0.527551i \(0.176890\pi\)
\(234\) −3.12922 2.27351i −0.204564 0.148624i
\(235\) 1.02423 3.15227i 0.0668137 0.205631i
\(236\) −7.54034 23.2068i −0.490834 1.51063i
\(237\) −7.26888 + 5.28115i −0.472164 + 0.343047i
\(238\) 1.30394 + 4.01310i 0.0845216 + 0.260131i
\(239\) 1.75903 + 1.27801i 0.113782 + 0.0826678i 0.643221 0.765680i \(-0.277598\pi\)
−0.529439 + 0.848348i \(0.677598\pi\)
\(240\) 22.8811 + 16.6241i 1.47697 + 1.07308i
\(241\) −11.3115 + 8.21832i −0.728641 + 0.529388i −0.889133 0.457649i \(-0.848692\pi\)
0.160493 + 0.987037i \(0.448692\pi\)
\(242\) −2.72697 −0.175296
\(243\) 28.0254 1.79783
\(244\) 20.6258 14.9856i 1.32043 0.959352i
\(245\) 2.56507 7.89447i 0.163876 0.504359i
\(246\) −1.54153 4.74434i −0.0982844 0.302488i
\(247\) 1.95165 0.124181
\(248\) 5.00320 + 9.88744i 0.317704 + 0.627853i
\(249\) 46.2308 2.92976
\(250\) −2.53567 7.80400i −0.160370 0.493568i
\(251\) 0.812527 2.50070i 0.0512863 0.157843i −0.922133 0.386873i \(-0.873555\pi\)
0.973419 + 0.229030i \(0.0735553\pi\)
\(252\) −21.8746 + 15.8928i −1.37797 + 1.00115i
\(253\) 1.97529 0.124185
\(254\) −6.36126 −0.399141
\(255\) −34.9023 + 25.3580i −2.18567 + 1.58798i
\(256\) 1.90966 + 1.38745i 0.119353 + 0.0867154i
\(257\) −4.76760 3.46386i −0.297395 0.216070i 0.429074 0.903269i \(-0.358840\pi\)
−0.726469 + 0.687199i \(0.758840\pi\)
\(258\) −5.00537 15.4049i −0.311621 0.959070i
\(259\) −3.14851 + 2.28753i −0.195639 + 0.142140i
\(260\) 1.98580 + 6.11167i 0.123154 + 0.379030i
\(261\) −15.7162 + 48.3694i −0.972807 + 2.99399i
\(262\) −8.98751 6.52981i −0.555250 0.403413i
\(263\) 2.52635 7.77531i 0.155781 0.479446i −0.842458 0.538762i \(-0.818892\pi\)
0.998239 + 0.0593163i \(0.0188921\pi\)
\(264\) −4.77993 + 14.7111i −0.294184 + 0.905406i
\(265\) −40.8458 29.6762i −2.50914 1.82300i
\(266\) −0.707421 + 2.17722i −0.0433748 + 0.133494i
\(267\) 7.13891 + 21.9713i 0.436894 + 1.34462i
\(268\) −3.19568 + 2.32180i −0.195207 + 0.141826i
\(269\) 6.55274 + 20.1673i 0.399528 + 1.22962i 0.925379 + 0.379043i \(0.123747\pi\)
−0.525851 + 0.850577i \(0.676253\pi\)
\(270\) 21.9243 + 15.9289i 1.33427 + 0.969405i
\(271\) 1.96897 + 1.43054i 0.119607 + 0.0868993i 0.645980 0.763354i \(-0.276449\pi\)
−0.526374 + 0.850253i \(0.676449\pi\)
\(272\) 6.86343 4.98657i 0.416156 0.302355i
\(273\) −6.99347 −0.423264
\(274\) 6.28468 0.379671
\(275\) −17.8616 + 12.9772i −1.07710 + 0.782556i
\(276\) −1.37402 + 4.22879i −0.0827060 + 0.254543i
\(277\) −4.22164 12.9929i −0.253654 0.780666i −0.994092 0.108541i \(-0.965382\pi\)
0.740438 0.672124i \(-0.234618\pi\)
\(278\) −4.11430 −0.246759
\(279\) −18.1382 35.8451i −1.08591 2.14599i
\(280\) −16.3405 −0.976534
\(281\) 3.79580 + 11.6823i 0.226438 + 0.696906i 0.998142 + 0.0609240i \(0.0194047\pi\)
−0.771704 + 0.635982i \(0.780595\pi\)
\(282\) −0.467691 + 1.43940i −0.0278506 + 0.0857152i
\(283\) 3.66249 2.66096i 0.217713 0.158177i −0.473584 0.880749i \(-0.657040\pi\)
0.691296 + 0.722571i \(0.257040\pi\)
\(284\) 6.63166 0.393517
\(285\) −23.4055 −1.38642
\(286\) −1.05461 + 0.766217i −0.0623602 + 0.0453074i
\(287\) −5.15400 3.74460i −0.304231 0.221037i
\(288\) −30.6150 22.2431i −1.80400 1.31069i
\(289\) −1.25437 3.86057i −0.0737867 0.227092i
\(290\) −11.4706 + 8.33390i −0.673578 + 0.489383i
\(291\) 8.53830 + 26.2782i 0.500524 + 1.54045i
\(292\) 0.565517 1.74048i 0.0330944 0.101854i
\(293\) −20.4424 14.8523i −1.19426 0.867679i −0.200550 0.979684i \(-0.564273\pi\)
−0.993708 + 0.112005i \(0.964273\pi\)
\(294\) −1.17127 + 3.60481i −0.0683101 + 0.210237i
\(295\) −16.5204 + 50.8446i −0.961856 + 2.96029i
\(296\) −2.86381 2.08068i −0.166456 0.120937i
\(297\) 10.1237 31.1576i 0.587438 1.80795i
\(298\) 2.14163 + 6.59126i 0.124061 + 0.381821i
\(299\) −0.657174 + 0.477465i −0.0380053 + 0.0276125i
\(300\) −15.3577 47.2660i −0.886675 2.72890i
\(301\) −16.7351 12.1588i −0.964595 0.700819i
\(302\) 2.21932 + 1.61243i 0.127708 + 0.0927850i
\(303\) 4.36219 3.16932i 0.250601 0.182072i
\(304\) 4.60262 0.263979
\(305\) −55.8578 −3.19841
\(306\) 11.2568 8.17857i 0.643510 0.467538i
\(307\) −1.21259 + 3.73196i −0.0692060 + 0.212994i −0.979678 0.200576i \(-0.935719\pi\)
0.910472 + 0.413571i \(0.135719\pi\)
\(308\) 2.81591 + 8.66649i 0.160452 + 0.493819i
\(309\) 57.4754 3.26966
\(310\) 1.78284 11.0567i 0.101259 0.627977i
\(311\) 10.0567 0.570263 0.285132 0.958488i \(-0.407963\pi\)
0.285132 + 0.958488i \(0.407963\pi\)
\(312\) −1.96569 6.04976i −0.111285 0.342500i
\(313\) 6.71620 20.6703i 0.379622 1.16836i −0.560685 0.828029i \(-0.689462\pi\)
0.940307 0.340328i \(-0.110538\pi\)
\(314\) 2.99797 2.17815i 0.169185 0.122920i
\(315\) 59.2396 3.33777
\(316\) −4.81445 −0.270834
\(317\) 1.24983 0.908052i 0.0701972 0.0510013i −0.552133 0.833756i \(-0.686186\pi\)
0.622330 + 0.782755i \(0.286186\pi\)
\(318\) 18.6512 + 13.5509i 1.04591 + 0.759897i
\(319\) 13.8668 + 10.0748i 0.776393 + 0.564082i
\(320\) 2.20895 + 6.79846i 0.123484 + 0.380045i
\(321\) −23.8699 + 17.3425i −1.33229 + 0.967964i
\(322\) −0.294441 0.906197i −0.0164086 0.0505004i
\(323\) −2.16952 + 6.67711i −0.120715 + 0.371524i
\(324\) 29.6705 + 21.5569i 1.64836 + 1.19760i
\(325\) 2.80568 8.63499i 0.155631 0.478983i
\(326\) 4.10291 12.6274i 0.227239 0.699369i
\(327\) 12.4865 + 9.07199i 0.690506 + 0.501682i
\(328\) 1.79064 5.51102i 0.0988715 0.304295i
\(329\) 0.597277 + 1.83823i 0.0329289 + 0.101345i
\(330\) 12.6476 9.18900i 0.696226 0.505838i
\(331\) −8.07917 24.8651i −0.444071 1.36671i −0.883499 0.468433i \(-0.844819\pi\)
0.439427 0.898278i \(-0.355181\pi\)
\(332\) 20.0413 + 14.5608i 1.09991 + 0.799130i
\(333\) 10.3822 + 7.54313i 0.568943 + 0.413361i
\(334\) −4.05805 + 2.94835i −0.222047 + 0.161326i
\(335\) 8.65436 0.472838
\(336\) −16.4929 −0.899760
\(337\) −16.5708 + 12.0394i −0.902670 + 0.655828i −0.939150 0.343506i \(-0.888385\pi\)
0.0364805 + 0.999334i \(0.488385\pi\)
\(338\) 0.165656 0.509838i 0.00901052 0.0277315i
\(339\) −8.75858 26.9562i −0.475701 1.46406i
\(340\) −23.1171 −1.25370
\(341\) −13.3782 + 2.08066i −0.724471 + 0.112674i
\(342\) 7.54885 0.408195
\(343\) 6.22893 + 19.1707i 0.336331 + 1.03512i
\(344\) 5.81423 17.8943i 0.313482 0.964799i
\(345\) 7.88128 5.72609i 0.424314 0.308282i
\(346\) 4.17921 0.224676
\(347\) −25.4216 −1.36470 −0.682351 0.731025i \(-0.739042\pi\)
−0.682351 + 0.731025i \(0.739042\pi\)
\(348\) −31.2145 + 22.6787i −1.67327 + 1.21570i
\(349\) −8.52965 6.19715i −0.456582 0.331726i 0.335607 0.942002i \(-0.391059\pi\)
−0.792189 + 0.610276i \(0.791059\pi\)
\(350\) 8.61603 + 6.25991i 0.460546 + 0.334606i
\(351\) 4.16326 + 12.8132i 0.222218 + 0.683917i
\(352\) −10.3178 + 7.49634i −0.549942 + 0.399556i
\(353\) 8.36046 + 25.7308i 0.444982 + 1.36951i 0.882503 + 0.470306i \(0.155857\pi\)
−0.437521 + 0.899208i \(0.644143\pi\)
\(354\) 7.54363 23.2169i 0.400939 1.23396i
\(355\) −11.7546 8.54025i −0.623872 0.453270i
\(356\) −3.82533 + 11.7731i −0.202742 + 0.623976i
\(357\) 7.77419 23.9265i 0.411454 1.26632i
\(358\) 0.975594 + 0.708811i 0.0515618 + 0.0374618i
\(359\) 2.24432 6.90731i 0.118451 0.364554i −0.874200 0.485565i \(-0.838614\pi\)
0.992651 + 0.121012i \(0.0386138\pi\)
\(360\) 16.6507 + 51.2457i 0.877571 + 2.70089i
\(361\) 12.2898 8.92908i 0.646833 0.469952i
\(362\) −1.23138 3.78980i −0.0647200 0.199188i
\(363\) 13.1534 + 9.55647i 0.690372 + 0.501585i
\(364\) −3.03171 2.20266i −0.158905 0.115451i
\(365\) −3.24377 + 2.35674i −0.169787 + 0.123357i
\(366\) 25.5061 1.33322
\(367\) 17.2969 0.902890 0.451445 0.892299i \(-0.350909\pi\)
0.451445 + 0.892299i \(0.350909\pi\)
\(368\) −1.54983 + 1.12602i −0.0807904 + 0.0586977i
\(369\) −6.49163 + 19.9792i −0.337941 + 1.04008i
\(370\) 1.10555 + 3.40255i 0.0574750 + 0.176890i
\(371\) 29.4419 1.52855
\(372\) 4.85157 30.0880i 0.251542 1.55999i
\(373\) 8.66586 0.448701 0.224350 0.974509i \(-0.427974\pi\)
0.224350 + 0.974509i \(0.427974\pi\)
\(374\) −1.44909 4.45984i −0.0749307 0.230613i
\(375\) −15.1179 + 46.5282i −0.780686 + 2.40271i
\(376\) −1.42230 + 1.03336i −0.0733493 + 0.0532914i
\(377\) −7.04875 −0.363029
\(378\) −15.8032 −0.812828
\(379\) −4.78624 + 3.47740i −0.245852 + 0.178622i −0.703887 0.710312i \(-0.748554\pi\)
0.458034 + 0.888935i \(0.348554\pi\)
\(380\) −10.1464 7.37181i −0.520501 0.378166i
\(381\) 30.6832 + 22.2926i 1.57195 + 1.14209i
\(382\) 0.741072 + 2.28078i 0.0379165 + 0.116695i
\(383\) −18.7446 + 13.6187i −0.957803 + 0.695884i −0.952639 0.304102i \(-0.901644\pi\)
−0.00516319 + 0.999987i \(0.501644\pi\)
\(384\) −11.3687 34.9892i −0.580156 1.78554i
\(385\) 6.16949 18.9877i 0.314426 0.967704i
\(386\) 1.78964 + 1.30025i 0.0910901 + 0.0661809i
\(387\) −21.0784 + 64.8727i −1.07148 + 3.29766i
\(388\) −4.57518 + 14.0810i −0.232270 + 0.714852i
\(389\) 16.0543 + 11.6641i 0.813985 + 0.591395i 0.914983 0.403492i \(-0.132204\pi\)
−0.100998 + 0.994887i \(0.532204\pi\)
\(390\) −1.98667 + 6.11433i −0.100599 + 0.309611i
\(391\) −0.902994 2.77913i −0.0456664 0.140547i
\(392\) −3.56196 + 2.58792i −0.179906 + 0.130710i
\(393\) 20.4674 + 62.9922i 1.03244 + 3.17754i
\(394\) −9.40559 6.83356i −0.473847 0.344270i
\(395\) 8.53363 + 6.20005i 0.429374 + 0.311958i
\(396\) 24.3097 17.6620i 1.22161 0.887550i
\(397\) −22.5623 −1.13237 −0.566183 0.824279i \(-0.691581\pi\)
−0.566183 + 0.824279i \(0.691581\pi\)
\(398\) −9.21658 −0.461986
\(399\) 11.0421 8.02257i 0.552797 0.401631i
\(400\) 6.61670 20.3641i 0.330835 1.01821i
\(401\) 1.41617 + 4.35851i 0.0707200 + 0.217654i 0.980170 0.198160i \(-0.0634967\pi\)
−0.909450 + 0.415814i \(0.863497\pi\)
\(402\) −3.95180 −0.197098
\(403\) 3.94797 3.92600i 0.196663 0.195568i
\(404\) 2.88924 0.143745
\(405\) −24.8301 76.4193i −1.23382 3.79731i
\(406\) 2.55498 7.86343i 0.126802 0.390255i
\(407\) 3.49901 2.54218i 0.173439 0.126011i
\(408\) 22.8829 1.13287
\(409\) −26.4715 −1.30893 −0.654465 0.756092i \(-0.727106\pi\)
−0.654465 + 0.756092i \(0.727106\pi\)
\(410\) −4.73799 + 3.44235i −0.233993 + 0.170006i
\(411\) −30.3138 22.0242i −1.49527 1.08638i
\(412\) 24.9159 + 18.1025i 1.22752 + 0.891844i
\(413\) −9.63379 29.6497i −0.474048 1.45897i
\(414\) −2.54190 + 1.84680i −0.124928 + 0.0907653i
\(415\) −16.7718 51.6183i −0.823296 2.53384i
\(416\) 1.62071 4.98804i 0.0794619 0.244559i
\(417\) 19.8451 + 14.4183i 0.971817 + 0.706067i
\(418\) 0.786172 2.41959i 0.0384529 0.118346i
\(419\) −2.88703 + 8.88536i −0.141041 + 0.434078i −0.996481 0.0838236i \(-0.973287\pi\)
0.855440 + 0.517902i \(0.173287\pi\)
\(420\) 36.3583 + 26.4159i 1.77410 + 1.28896i
\(421\) −0.821418 + 2.52806i −0.0400335 + 0.123210i −0.969076 0.246763i \(-0.920633\pi\)
0.929042 + 0.369973i \(0.120633\pi\)
\(422\) 2.55602 + 7.86663i 0.124425 + 0.382941i
\(423\) 5.15627 3.74625i 0.250707 0.182149i
\(424\) 8.27538 + 25.4690i 0.401888 + 1.23688i
\(425\) 26.4237 + 19.1979i 1.28174 + 0.931236i
\(426\) 5.36746 + 3.89969i 0.260054 + 0.188941i
\(427\) 26.3523 19.1460i 1.27528 0.926542i
\(428\) −15.8099 −0.764202
\(429\) 7.77199 0.375235
\(430\) −15.3843 + 11.1774i −0.741897 + 0.539020i
\(431\) 2.07264 6.37892i 0.0998354 0.307262i −0.888648 0.458589i \(-0.848355\pi\)
0.988484 + 0.151328i \(0.0483549\pi\)
\(432\) 9.81831 + 30.2176i 0.472384 + 1.45385i
\(433\) −5.30344 −0.254867 −0.127434 0.991847i \(-0.540674\pi\)
−0.127434 + 0.991847i \(0.540674\pi\)
\(434\) 2.94873 + 5.82734i 0.141544 + 0.279721i
\(435\) 84.5334 4.05307
\(436\) 2.55566 + 7.86551i 0.122394 + 0.376690i
\(437\) 0.489899 1.50776i 0.0234351 0.0721257i
\(438\) 1.48119 1.07615i 0.0707739 0.0514202i
\(439\) 6.71803 0.320634 0.160317 0.987066i \(-0.448748\pi\)
0.160317 + 0.987066i \(0.448748\pi\)
\(440\) 18.1596 0.865724
\(441\) 12.9133 9.38203i 0.614917 0.446763i
\(442\) 1.56014 + 1.13351i 0.0742083 + 0.0539155i
\(443\) −24.3917 17.7216i −1.15889 0.841979i −0.169249 0.985573i \(-0.554134\pi\)
−0.989637 + 0.143594i \(0.954134\pi\)
\(444\) 3.00850 + 9.25920i 0.142777 + 0.439422i
\(445\) 21.9419 15.9417i 1.04014 0.755709i
\(446\) 1.61263 + 4.96317i 0.0763604 + 0.235013i
\(447\) 12.7686 39.2977i 0.603934 1.85872i
\(448\) −3.37239 2.45019i −0.159331 0.115760i
\(449\) −4.89536 + 15.0664i −0.231026 + 0.711026i 0.766597 + 0.642128i \(0.221948\pi\)
−0.997624 + 0.0688980i \(0.978052\pi\)
\(450\) 10.8522 33.3996i 0.511576 1.57447i
\(451\) 5.72774 + 4.16145i 0.269709 + 0.195955i
\(452\) 4.69322 14.4442i 0.220750 0.679400i
\(453\) −5.05410 15.5549i −0.237462 0.730834i
\(454\) 8.67648 6.30383i 0.407207 0.295853i
\(455\) 2.53712 + 7.80847i 0.118942 + 0.366067i
\(456\) 10.0436 + 7.29714i 0.470337 + 0.341720i
\(457\) −3.89794 2.83202i −0.182338 0.132476i 0.492872 0.870102i \(-0.335947\pi\)
−0.675210 + 0.737626i \(0.735947\pi\)
\(458\) −11.1261 + 8.08355i −0.519886 + 0.377720i
\(459\) −48.4653 −2.26217
\(460\) 5.22007 0.243387
\(461\) 17.5818 12.7739i 0.818866 0.594941i −0.0975214 0.995233i \(-0.531091\pi\)
0.916387 + 0.400292i \(0.131091\pi\)
\(462\) −2.81714 + 8.67026i −0.131065 + 0.403377i
\(463\) −3.05268 9.39518i −0.141870 0.436631i 0.854725 0.519081i \(-0.173726\pi\)
−0.996595 + 0.0824498i \(0.973726\pi\)
\(464\) −16.6232 −0.771714
\(465\) −47.3468 + 47.0834i −2.19566 + 2.18344i
\(466\) −3.91489 −0.181354
\(467\) 4.44121 + 13.6686i 0.205515 + 0.632509i 0.999692 + 0.0248226i \(0.00790210\pi\)
−0.794177 + 0.607686i \(0.792098\pi\)
\(468\) −3.81854 + 11.7522i −0.176512 + 0.543248i
\(469\) −4.08290 + 2.96640i −0.188531 + 0.136976i
\(470\) 1.77682 0.0819585
\(471\) −22.0937 −1.01802
\(472\) 22.9409 16.6676i 1.05594 0.767187i
\(473\) 18.5981 + 13.5123i 0.855140 + 0.621295i
\(474\) −3.89667 2.83109i −0.178980 0.130036i
\(475\) 5.47571 + 16.8525i 0.251243 + 0.773245i
\(476\) 10.9060 7.92370i 0.499878 0.363182i
\(477\) −30.0009 92.3332i −1.37365 4.22765i
\(478\) −0.360184 + 1.10853i −0.0164745 + 0.0507031i
\(479\) −18.9387 13.7598i −0.865333 0.628701i 0.0639974 0.997950i \(-0.479615\pi\)
−0.929331 + 0.369249i \(0.879615\pi\)
\(480\) −19.4367 + 59.8200i −0.887159 + 2.73040i
\(481\) −0.549620 + 1.69156i −0.0250605 + 0.0771284i
\(482\) −6.06384 4.40564i −0.276200 0.200671i
\(483\) −1.75549 + 5.40284i −0.0798775 + 0.245838i
\(484\) 2.69214 + 8.28557i 0.122370 + 0.376617i
\(485\) 26.2430 19.0666i 1.19163 0.865772i
\(486\) 4.64259 + 14.2884i 0.210592 + 0.648136i
\(487\) 4.03909 + 2.93457i 0.183029 + 0.132978i 0.675527 0.737335i \(-0.263916\pi\)
−0.492498 + 0.870313i \(0.663916\pi\)
\(488\) 23.9694 + 17.4148i 1.08504 + 0.788330i
\(489\) −64.0421 + 46.5293i −2.89609 + 2.10413i
\(490\) 4.44982 0.201023
\(491\) 25.8099 1.16478 0.582392 0.812908i \(-0.302117\pi\)
0.582392 + 0.812908i \(0.302117\pi\)
\(492\) −12.8933 + 9.36751i −0.581274 + 0.422320i
\(493\) 7.83563 24.1156i 0.352899 1.08611i
\(494\) 0.323303 + 0.995026i 0.0145461 + 0.0447683i
\(495\) −65.8342 −2.95903
\(496\) 9.31060 9.25879i 0.418058 0.415732i
\(497\) 8.47282 0.380058
\(498\) 7.65842 + 23.5702i 0.343182 + 1.05621i
\(499\) 4.38946 13.5094i 0.196499 0.604762i −0.803457 0.595363i \(-0.797008\pi\)
0.999956 0.00939903i \(-0.00299185\pi\)
\(500\) −21.2082 + 15.4087i −0.948461 + 0.689097i
\(501\) 29.9060 1.33610
\(502\) 1.40955 0.0629114
\(503\) −3.52032 + 2.55767i −0.156963 + 0.114041i −0.663495 0.748181i \(-0.730927\pi\)
0.506531 + 0.862222i \(0.330927\pi\)
\(504\) −25.4206 18.4691i −1.13232 0.822680i
\(505\) −5.12119 3.72076i −0.227890 0.165572i
\(506\) 0.327219 + 1.00708i 0.0145466 + 0.0447700i
\(507\) −2.58573 + 1.87864i −0.114836 + 0.0834334i
\(508\) 6.28003 + 19.3279i 0.278631 + 0.857539i
\(509\) −2.27022 + 6.98701i −0.100626 + 0.309694i −0.988679 0.150047i \(-0.952058\pi\)
0.888053 + 0.459741i \(0.152058\pi\)
\(510\) −18.7103 13.5938i −0.828505 0.601944i
\(511\) 0.722523 2.22370i 0.0319625 0.0983705i
\(512\) 6.72300 20.6913i 0.297117 0.914433i
\(513\) −21.2721 15.4551i −0.939186 0.682359i
\(514\) 0.976226 3.00452i 0.0430595 0.132523i
\(515\) −20.8512 64.1734i −0.918813 2.82782i
\(516\) −41.8646 + 30.4164i −1.84299 + 1.33901i
\(517\) −0.663766 2.04286i −0.0291924 0.0898450i
\(518\) −1.68784 1.22629i −0.0741595 0.0538800i
\(519\) −20.1582 14.6458i −0.884846 0.642878i
\(520\) −6.04166 + 4.38952i −0.264944 + 0.192493i
\(521\) 43.2596 1.89524 0.947620 0.319401i \(-0.103482\pi\)
0.947620 + 0.319401i \(0.103482\pi\)
\(522\) −27.2641 −1.19332
\(523\) 8.90690 6.47124i 0.389471 0.282968i −0.375767 0.926714i \(-0.622621\pi\)
0.765239 + 0.643746i \(0.222621\pi\)
\(524\) −10.9673 + 33.7539i −0.479109 + 1.47455i
\(525\) −19.6214 60.3886i −0.856350 2.63557i
\(526\) 4.38265 0.191093
\(527\) 9.04318 + 17.8713i 0.393927 + 0.778487i
\(528\) 18.3289 0.797662
\(529\) −6.90349 21.2467i −0.300152 0.923772i
\(530\) 8.36370 25.7408i 0.363296 1.11811i
\(531\) −83.1682 + 60.4252i −3.60919 + 2.62223i
\(532\) 7.31361 0.317085
\(533\) −2.91151 −0.126112
\(534\) −10.0192 + 7.27938i −0.433573 + 0.315009i
\(535\) 28.0232 + 20.3600i 1.21155 + 0.880241i
\(536\) −3.71371 2.69817i −0.160408 0.116543i
\(537\) −2.22174 6.83781i −0.0958751 0.295073i
\(538\) −9.19653 + 6.68167i −0.396491 + 0.288067i
\(539\) −1.66232 5.11610i −0.0716012 0.220366i
\(540\) 26.7539 82.3399i 1.15130 3.54335i
\(541\) 22.9176 + 16.6506i 0.985304 + 0.715865i 0.958888 0.283786i \(-0.0915904\pi\)
0.0264165 + 0.999651i \(0.491590\pi\)
\(542\) −0.403172 + 1.24084i −0.0173177 + 0.0532985i
\(543\) −7.34162 + 22.5952i −0.315059 + 0.969652i
\(544\) 15.2637 + 11.0898i 0.654427 + 0.475469i
\(545\) 5.59929 17.2328i 0.239847 0.738174i
\(546\) −1.15851 3.56554i −0.0495798 0.152591i
\(547\) −1.50421 + 1.09287i −0.0643152 + 0.0467277i −0.619478 0.785014i \(-0.712656\pi\)
0.555163 + 0.831741i \(0.312656\pi\)
\(548\) −6.20442 19.0952i −0.265040 0.815708i
\(549\) −86.8966 63.1341i −3.70866 2.69450i
\(550\) −9.57517 6.95677i −0.408287 0.296638i
\(551\) 11.1294 8.08598i 0.474128 0.344474i
\(552\) −5.16719 −0.219930
\(553\) −6.15110 −0.261571
\(554\) 5.92492 4.30470i 0.251726 0.182889i
\(555\) 6.59142 20.2863i 0.279790 0.861106i
\(556\) 4.06176 + 12.5008i 0.172257 + 0.530152i
\(557\) 1.65370 0.0700696 0.0350348 0.999386i \(-0.488846\pi\)
0.0350348 + 0.999386i \(0.488846\pi\)
\(558\) 15.2705 15.1855i 0.646451 0.642854i
\(559\) −9.45372 −0.399850
\(560\) 5.98336 + 18.4149i 0.252843 + 0.778171i
\(561\) −8.63962 + 26.5900i −0.364765 + 1.12263i
\(562\) −5.32727 + 3.87049i −0.224717 + 0.163267i
\(563\) 1.15378 0.0486259 0.0243130 0.999704i \(-0.492260\pi\)
0.0243130 + 0.999704i \(0.492260\pi\)
\(564\) 4.83518 0.203598
\(565\) −26.9200 + 19.5586i −1.13253 + 0.822835i
\(566\) 1.96337 + 1.42647i 0.0825267 + 0.0599592i
\(567\) 37.9080 + 27.5418i 1.59198 + 1.15664i
\(568\) 2.38149 + 7.32949i 0.0999253 + 0.307538i
\(569\) −20.1474 + 14.6379i −0.844623 + 0.613654i −0.923658 0.383218i \(-0.874816\pi\)
0.0790355 + 0.996872i \(0.474816\pi\)
\(570\) −3.87728 11.9330i −0.162401 0.499820i
\(571\) −4.47743 + 13.7801i −0.187374 + 0.576679i −0.999981 0.00613315i \(-0.998048\pi\)
0.812607 + 0.582812i \(0.198048\pi\)
\(572\) 3.36920 + 2.44787i 0.140873 + 0.102350i
\(573\) 4.41834 13.5983i 0.184579 0.568076i
\(574\) 1.05535 3.24802i 0.0440493 0.135570i
\(575\) −5.96672 4.33508i −0.248830 0.180785i
\(576\) −4.24764 + 13.0729i −0.176985 + 0.544704i
\(577\) 11.4887 + 35.3587i 0.478282 + 1.47200i 0.841480 + 0.540289i \(0.181685\pi\)
−0.363198 + 0.931712i \(0.618315\pi\)
\(578\) 1.76047 1.27905i 0.0732258 0.0532017i
\(579\) −4.07557 12.5433i −0.169375 0.521283i
\(580\) 36.6457 + 26.6247i 1.52163 + 1.10553i
\(581\) 25.6054 + 18.6034i 1.06229 + 0.771800i
\(582\) −11.9832 + 8.70630i −0.496719 + 0.360888i
\(583\) −32.7194 −1.35510
\(584\) 2.12671 0.0880039
\(585\) 21.9029 15.9134i 0.905574 0.657938i
\(586\) 4.18584 12.8827i 0.172915 0.532179i
\(587\) −5.32455 16.3873i −0.219768 0.676376i −0.998781 0.0493680i \(-0.984279\pi\)
0.779013 0.627008i \(-0.215721\pi\)
\(588\) 12.1091 0.499371
\(589\) −1.72981 + 10.7278i −0.0712754 + 0.442030i
\(590\) −28.6592 −1.17988
\(591\) 21.4195 + 65.9225i 0.881082 + 2.71169i
\(592\) −1.29618 + 3.98924i −0.0532728 + 0.163957i
\(593\) −21.0360 + 15.2835i −0.863844 + 0.627619i −0.928928 0.370261i \(-0.879268\pi\)
0.0650843 + 0.997880i \(0.479268\pi\)
\(594\) 17.5624 0.720594
\(595\) −29.5352 −1.21082
\(596\) 17.9125 13.0142i 0.733723 0.533081i
\(597\) 44.4556 + 32.2989i 1.81945 + 1.32191i
\(598\) −0.352295 0.255957i −0.0144064 0.0104669i
\(599\) −3.10151 9.54546i −0.126724 0.390017i 0.867487 0.497460i \(-0.165734\pi\)
−0.994211 + 0.107443i \(0.965734\pi\)
\(600\) 46.7246 33.9474i 1.90752 1.38590i
\(601\) 13.7032 + 42.1740i 0.558963 + 1.72031i 0.685240 + 0.728317i \(0.259697\pi\)
−0.126277 + 0.991995i \(0.540303\pi\)
\(602\) 3.42672 10.5464i 0.139663 0.429838i
\(603\) 13.4634 + 9.78172i 0.548271 + 0.398342i
\(604\) 2.70820 8.33499i 0.110195 0.339146i
\(605\) 5.89832 18.1531i 0.239801 0.738030i
\(606\) 2.33846 + 1.69899i 0.0949935 + 0.0690168i
\(607\) 7.01882 21.6017i 0.284885 0.876787i −0.701548 0.712622i \(-0.747507\pi\)
0.986433 0.164164i \(-0.0524927\pi\)
\(608\) 3.16306 + 9.73490i 0.128279 + 0.394802i
\(609\) −39.8807 + 28.9750i −1.61605 + 1.17413i
\(610\) −9.25321 28.4784i −0.374651 1.15306i
\(611\) 0.714633 + 0.519211i 0.0289110 + 0.0210050i
\(612\) −35.9627 26.1284i −1.45371 1.05618i
\(613\) 4.53168 3.29246i 0.183033 0.132981i −0.492496 0.870315i \(-0.663915\pi\)
0.675529 + 0.737334i \(0.263915\pi\)
\(614\) −2.10357 −0.0848931
\(615\) 34.9169 1.40798
\(616\) −8.56721 + 6.22444i −0.345183 + 0.250790i
\(617\) 12.9979 40.0035i 0.523277 1.61048i −0.244421 0.969669i \(-0.578598\pi\)
0.767698 0.640811i \(-0.221402\pi\)
\(618\) 9.52117 + 29.3031i 0.382998 + 1.17875i
\(619\) 5.10997 0.205387 0.102693 0.994713i \(-0.467254\pi\)
0.102693 + 0.994713i \(0.467254\pi\)
\(620\) −35.3545 + 5.49853i −1.41987 + 0.220826i
\(621\) 10.9439 0.439165
\(622\) 1.66596 + 5.12729i 0.0667988 + 0.205586i
\(623\) −4.88736 + 15.0418i −0.195808 + 0.602635i
\(624\) −6.09798 + 4.43044i −0.244115 + 0.177360i
\(625\) 12.0381 0.481525
\(626\) 11.6511 0.465672
\(627\) −12.2713 + 8.91565i −0.490070 + 0.356057i
\(628\) −9.57773 6.95863i −0.382193 0.277679i
\(629\) −5.17628 3.76079i −0.206392 0.149952i
\(630\) 9.81342 + 30.2026i 0.390976 + 1.20330i
\(631\) −1.43275 + 1.04096i −0.0570370 + 0.0414398i −0.615938 0.787794i \(-0.711223\pi\)
0.558901 + 0.829234i \(0.311223\pi\)
\(632\) −1.72892 5.32106i −0.0687726 0.211660i
\(633\) 15.2393 46.9016i 0.605706 1.86417i
\(634\) 0.670001 + 0.486784i 0.0266091 + 0.0193327i
\(635\) 13.7591 42.3463i 0.546015 1.68046i
\(636\) 22.7598 70.0474i 0.902484 2.77756i
\(637\) 1.78971 + 1.30030i 0.0709109 + 0.0515198i
\(638\) −2.83941 + 8.73879i −0.112413 + 0.345972i
\(639\) −8.63367 26.5717i −0.341543 1.05116i
\(640\) −34.9423 + 25.3871i −1.38122 + 1.00351i
\(641\) 5.65014 + 17.3893i 0.223167 + 0.686838i 0.998472 + 0.0552512i \(0.0175959\pi\)
−0.775305 + 0.631587i \(0.782404\pi\)
\(642\) −12.7961 9.29689i −0.505021 0.366919i
\(643\) 9.65496 + 7.01474i 0.380754 + 0.276634i 0.761656 0.647981i \(-0.224386\pi\)
−0.380902 + 0.924615i \(0.624386\pi\)
\(644\) −2.46269 + 1.78925i −0.0970436 + 0.0705063i
\(645\) 113.376 4.46416
\(646\) −3.76364 −0.148078
\(647\) 17.5564 12.7555i 0.690213 0.501469i −0.186517 0.982452i \(-0.559720\pi\)
0.876730 + 0.480983i \(0.159720\pi\)
\(648\) −13.1703 + 40.5339i −0.517376 + 1.59232i
\(649\) 10.7062 + 32.9504i 0.420256 + 1.29342i
\(650\) 4.86723 0.190908
\(651\) 6.19852 38.4415i 0.242939 1.50664i
\(652\) −42.4175 −1.66120
\(653\) −2.28154 7.02185i −0.0892834 0.274786i 0.896438 0.443168i \(-0.146146\pi\)
−0.985722 + 0.168382i \(0.946146\pi\)
\(654\) −2.55677 + 7.86894i −0.0999778 + 0.307700i
\(655\) 62.9079 45.7052i 2.45801 1.78585i
\(656\) −6.86629 −0.268084
\(657\) −7.71000 −0.300796
\(658\) −0.838256 + 0.609029i −0.0326786 + 0.0237424i
\(659\) 2.19197 + 1.59256i 0.0853870 + 0.0620373i 0.629660 0.776871i \(-0.283194\pi\)
−0.544273 + 0.838908i \(0.683194\pi\)
\(660\) −40.4058 29.3565i −1.57279 1.14270i
\(661\) −10.2345 31.4985i −0.398075 1.22515i −0.926541 0.376194i \(-0.877233\pi\)
0.528466 0.848954i \(-0.322767\pi\)
\(662\) 11.3388 8.23814i 0.440696 0.320184i
\(663\) −3.55294 10.9348i −0.137985 0.424673i
\(664\) −8.89601 + 27.3791i −0.345232 + 1.06252i
\(665\) −12.9634 9.41846i −0.502699 0.365232i
\(666\) −2.12589 + 6.54283i −0.0823767 + 0.253529i
\(667\) −1.76936 + 5.44554i −0.0685100 + 0.210852i
\(668\) 12.9644 + 9.41921i 0.501609 + 0.364440i
\(669\) 9.61468 29.5909i 0.371725 1.14405i
\(670\) 1.43365 + 4.41232i 0.0553868 + 0.170463i
\(671\) −29.2858 + 21.2774i −1.13057 + 0.821404i
\(672\) −11.3344 34.8837i −0.437234 1.34567i
\(673\) 14.2376 + 10.3442i 0.548819 + 0.398740i 0.827350 0.561687i \(-0.189848\pi\)
−0.278531 + 0.960427i \(0.589848\pi\)
\(674\) −8.88321 6.45403i −0.342168 0.248600i
\(675\) −98.9610 + 71.8994i −3.80901 + 2.76741i
\(676\) −1.71262 −0.0658701
\(677\) −6.57737 −0.252789 −0.126394 0.991980i \(-0.540341\pi\)
−0.126394 + 0.991980i \(0.540341\pi\)
\(678\) 12.2924 8.93092i 0.472085 0.342990i
\(679\) −5.84540 + 17.9903i −0.224326 + 0.690404i
\(680\) −8.30158 25.5496i −0.318351 0.979784i
\(681\) −63.9418 −2.45026
\(682\) −3.27698 6.47605i −0.125482 0.247981i
\(683\) −10.7317 −0.410639 −0.205319 0.978695i \(-0.565823\pi\)
−0.205319 + 0.978695i \(0.565823\pi\)
\(684\) −7.45245 22.9363i −0.284952 0.876991i
\(685\) −13.5935 + 41.8365i −0.519381 + 1.59849i
\(686\) −8.74208 + 6.35149i −0.333774 + 0.242501i
\(687\) 81.9941 3.12827
\(688\) −22.2949 −0.849987
\(689\) 10.8857 7.90892i 0.414712 0.301306i
\(690\) 4.22496 + 3.06961i 0.160842 + 0.116858i
\(691\) 32.4434 + 23.5715i 1.23421 + 0.896704i 0.997198 0.0748038i \(-0.0238331\pi\)
0.237009 + 0.971508i \(0.423833\pi\)
\(692\) −4.12584 12.6980i −0.156841 0.482707i
\(693\) 31.0589 22.5656i 1.17983 0.857196i
\(694\) −4.21125 12.9609i −0.159857 0.491988i
\(695\) 8.89906 27.3885i 0.337560 1.03890i
\(696\) −36.2745 26.3550i −1.37498 0.998982i
\(697\) 3.23654 9.96105i 0.122593 0.377302i
\(698\) 1.74655 5.37534i 0.0661080 0.203460i
\(699\) 18.8832 + 13.7195i 0.714230 + 0.518918i
\(700\) 10.5140 32.3587i 0.397392 1.22305i
\(701\) −11.7403 36.1329i −0.443424 1.36472i −0.884202 0.467104i \(-0.845297\pi\)
0.440778 0.897616i \(-0.354703\pi\)
\(702\) −5.84298 + 4.24517i −0.220529 + 0.160224i
\(703\) −1.07267 3.30133i −0.0404564 0.124512i
\(704\) 3.74781 + 2.72294i 0.141251 + 0.102625i
\(705\) −8.57037 6.22674i −0.322779 0.234513i
\(706\) −11.7336 + 8.52496i −0.441600 + 0.320841i
\(707\) 3.69139 0.138829
\(708\) −77.9891 −2.93101
\(709\) −27.4154 + 19.9185i −1.02961 + 0.748053i −0.968230 0.250061i \(-0.919549\pi\)
−0.0613773 + 0.998115i \(0.519549\pi\)
\(710\) 2.40691 7.40771i 0.0903298 0.278007i
\(711\) 6.26787 + 19.2905i 0.235063 + 0.723451i
\(712\) −14.3857 −0.539127
\(713\) −2.04204 4.03552i −0.0764749 0.151131i
\(714\) 13.4865 0.504719
\(715\) −2.81956 8.67771i −0.105446 0.324528i
\(716\) 1.19050 3.66399i 0.0444911 0.136930i
\(717\) 5.62211 4.08470i 0.209962 0.152546i
\(718\) 3.89339 0.145300
\(719\) 42.2779 1.57670 0.788351 0.615226i \(-0.210935\pi\)
0.788351 + 0.615226i \(0.210935\pi\)
\(720\) 51.6542 37.5290i 1.92504 1.39862i
\(721\) 31.8334 + 23.1283i 1.18554 + 0.861342i
\(722\) 6.58827 + 4.78666i 0.245190 + 0.178141i
\(723\) 13.8093 + 42.5006i 0.513573 + 1.58062i
\(724\) −10.2992 + 7.48281i −0.382767 + 0.278097i
\(725\) −19.7765 60.8659i −0.734482 2.26050i
\(726\) −2.69332 + 8.28917i −0.0999583 + 0.307640i
\(727\) 28.1492 + 20.4516i 1.04400 + 0.758509i 0.971062 0.238828i \(-0.0767631\pi\)
0.0729359 + 0.997337i \(0.476763\pi\)
\(728\) 1.34573 4.14172i 0.0498760 0.153502i
\(729\) 7.82738 24.0902i 0.289903 0.892229i
\(730\) −1.73891 1.26339i −0.0643599 0.0467602i
\(731\) 10.5091 32.3437i 0.388693 1.19627i
\(732\) −25.1803 77.4971i −0.930692 2.86438i
\(733\) −24.1487 + 17.5450i −0.891952 + 0.648041i −0.936386 0.350971i \(-0.885851\pi\)
0.0444344 + 0.999012i \(0.485851\pi\)
\(734\) 2.86534 + 8.81860i 0.105762 + 0.325501i
\(735\) −21.4634 15.5941i −0.791691 0.575197i
\(736\) −3.44670 2.50417i −0.127047 0.0923051i
\(737\) 4.53741 3.29662i 0.167138 0.121433i
\(738\) −11.2615 −0.414543
\(739\) 37.9707 1.39677 0.698387 0.715720i \(-0.253902\pi\)
0.698387 + 0.715720i \(0.253902\pi\)
\(740\) 9.24680 6.71819i 0.339919 0.246966i
\(741\) 1.92757 5.93244i 0.0708109 0.217934i
\(742\) 4.87725 + 15.0106i 0.179049 + 0.551057i
\(743\) −14.4900 −0.531586 −0.265793 0.964030i \(-0.585634\pi\)
−0.265793 + 0.964030i \(0.585634\pi\)
\(744\) 34.9963 5.44283i 1.28303 0.199544i
\(745\) −48.5096 −1.77725
\(746\) 1.43555 + 4.41818i 0.0525594 + 0.161761i
\(747\) 32.2509 99.2579i 1.18000 3.63166i
\(748\) −12.1201 + 8.80578i −0.443155 + 0.321971i
\(749\) −20.1993 −0.738066
\(750\) −26.2262 −0.957646
\(751\) 31.2066 22.6729i 1.13874 0.827346i 0.151800 0.988411i \(-0.451493\pi\)
0.986944 + 0.161065i \(0.0514929\pi\)
\(752\) 1.68534 + 1.22447i 0.0614579 + 0.0446518i
\(753\) −6.79889 4.93968i −0.247765 0.180012i
\(754\) −1.16767 3.59372i −0.0425240 0.130876i
\(755\) −15.5341 + 11.2862i −0.565344 + 0.410746i
\(756\) 15.6014 + 48.0161i 0.567416 + 1.74633i
\(757\) −14.5435 + 44.7604i −0.528593 + 1.62684i 0.228505 + 0.973543i \(0.426616\pi\)
−0.757099 + 0.653301i \(0.773384\pi\)
\(758\) −2.56578 1.86415i −0.0931935 0.0677090i
\(759\) 1.95091 6.00428i 0.0708135 0.217942i
\(760\) 4.50384 13.8614i 0.163371 0.502805i
\(761\) −26.9685 19.5938i −0.977609 0.710274i −0.0204357 0.999791i \(-0.506505\pi\)
−0.957173 + 0.289517i \(0.906505\pi\)
\(762\) −6.28276 + 19.3364i −0.227600 + 0.700482i
\(763\) 3.26520 + 10.0492i 0.118208 + 0.363807i
\(764\) 6.19828 4.50332i 0.224246 0.162924i