Properties

Label 171.2.x.a.110.10
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.10
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.103187 - 0.0865845i) q^{2} +(-1.73169 + 0.0351497i) q^{3} +(-0.344146 + 1.95175i) q^{4} +(0.862577 - 2.36991i) q^{5} +(-0.175646 + 0.153565i) q^{6} +(1.62680 + 2.81770i) q^{7} +(0.268181 + 0.464503i) q^{8} +(2.99753 - 0.121737i) q^{9} +O(q^{10})\) \(q+(0.103187 - 0.0865845i) q^{2} +(-1.73169 + 0.0351497i) q^{3} +(-0.344146 + 1.95175i) q^{4} +(0.862577 - 2.36991i) q^{5} +(-0.175646 + 0.153565i) q^{6} +(1.62680 + 2.81770i) q^{7} +(0.268181 + 0.464503i) q^{8} +(2.99753 - 0.121737i) q^{9} +(-0.116191 - 0.319231i) q^{10} +5.59201i q^{11} +(0.527352 - 3.39192i) q^{12} +(1.44664 + 3.97461i) q^{13} +(0.411835 + 0.149896i) q^{14} +(-1.41042 + 4.13428i) q^{15} +(-3.65678 - 1.33096i) q^{16} +(1.48046 - 4.06752i) q^{17} +(0.298767 - 0.272101i) q^{18} +(-2.66309 - 3.45079i) q^{19} +(4.32861 + 2.49913i) q^{20} +(-2.91617 - 4.82222i) q^{21} +(0.484182 + 0.577025i) q^{22} +(3.14450 + 0.554460i) q^{23} +(-0.480735 - 0.794951i) q^{24} +(-1.04222 - 0.874524i) q^{25} +(0.493415 + 0.284873i) q^{26} +(-5.18652 + 0.316173i) q^{27} +(-6.05930 + 2.20541i) q^{28} +(1.06770 - 6.05526i) q^{29} +(0.212427 + 0.548726i) q^{30} -6.64743i q^{31} +(-1.50061 + 0.546176i) q^{32} +(-0.196557 - 9.68366i) q^{33} +(-0.199420 - 0.547902i) q^{34} +(8.08095 - 1.42489i) q^{35} +(-0.793987 + 5.89231i) q^{36} +4.71492i q^{37} +(-0.573582 - 0.125497i) q^{38} +(-2.64485 - 6.83196i) q^{39} +(1.33216 - 0.234896i) q^{40} +(-4.53739 + 3.80732i) q^{41} +(-0.718441 - 0.245098i) q^{42} +(1.19499 + 6.77712i) q^{43} +(-10.9142 - 1.92447i) q^{44} +(2.29709 - 7.20888i) q^{45} +(0.372480 - 0.215052i) q^{46} +(-0.139535 - 0.0246038i) q^{47} +(6.37920 + 2.17628i) q^{48} +(-1.79297 + 3.10552i) q^{49} -0.183264 q^{50} +(-2.42073 + 7.09574i) q^{51} +(-8.25529 + 1.45563i) q^{52} +(-4.63584 - 3.88993i) q^{53} +(-0.507808 + 0.481698i) q^{54} +(13.2526 + 4.82354i) q^{55} +(-0.872555 + 1.51131i) q^{56} +(4.73294 + 5.88211i) q^{57} +(-0.414118 - 0.717273i) q^{58} +(-0.831759 - 4.71714i) q^{59} +(-7.58368 - 4.17557i) q^{60} +(4.55261 - 1.65702i) q^{61} +(-0.575565 - 0.685931i) q^{62} +(5.21941 + 8.24811i) q^{63} +(3.78391 - 6.55392i) q^{64} +10.6673 q^{65} +(-0.858737 - 0.982212i) q^{66} +(-2.35074 + 2.80150i) q^{67} +(7.42928 + 4.28930i) q^{68} +(-5.46480 - 0.849627i) q^{69} +(0.710479 - 0.846716i) q^{70} +(4.47532 - 3.75524i) q^{71} +(0.860428 + 1.35971i) q^{72} +(-1.71133 - 9.70541i) q^{73} +(0.408239 + 0.486520i) q^{74} +(1.83554 + 1.47777i) q^{75} +(7.65156 - 4.01009i) q^{76} +(-15.7566 + 9.09710i) q^{77} +(-0.864457 - 0.475970i) q^{78} +(3.30685 - 9.08549i) q^{79} +(-6.30851 + 7.51819i) q^{80} +(8.97036 - 0.729820i) q^{81} +(-0.138546 + 0.785736i) q^{82} +(3.95513 - 2.28350i) q^{83} +(10.4153 - 4.03207i) q^{84} +(-8.36266 - 7.01710i) q^{85} +(0.710101 + 0.595846i) q^{86} +(-1.63610 + 10.5234i) q^{87} +(-2.59751 + 1.49967i) q^{88} +(2.35153 - 13.3362i) q^{89} +(-0.387147 - 0.942759i) q^{90} +(-8.84589 + 10.5421i) q^{91} +(-2.16433 + 5.94645i) q^{92} +(0.233655 + 11.5113i) q^{93} +(-0.0165286 + 0.00954276i) q^{94} +(-10.4752 + 3.33470i) q^{95} +(2.57939 - 0.998555i) q^{96} +(2.21552 + 2.64035i) q^{97} +(0.0838777 + 0.475694i) q^{98} +(0.680755 + 16.7622i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.103187 0.0865845i 0.0729645 0.0612245i −0.605576 0.795787i \(-0.707057\pi\)
0.678541 + 0.734563i \(0.262613\pi\)
\(3\) −1.73169 + 0.0351497i −0.999794 + 0.0202937i
\(4\) −0.344146 + 1.95175i −0.172073 + 0.975873i
\(5\) 0.862577 2.36991i 0.385756 1.05986i −0.583136 0.812374i \(-0.698175\pi\)
0.968892 0.247482i \(-0.0796031\pi\)
\(6\) −0.175646 + 0.153565i −0.0717070 + 0.0626926i
\(7\) 1.62680 + 2.81770i 0.614873 + 1.06499i 0.990407 + 0.138183i \(0.0441263\pi\)
−0.375533 + 0.926809i \(0.622540\pi\)
\(8\) 0.268181 + 0.464503i 0.0948163 + 0.164227i
\(9\) 2.99753 0.121737i 0.999176 0.0405790i
\(10\) −0.116191 0.319231i −0.0367427 0.100950i
\(11\) 5.59201i 1.68606i 0.537870 + 0.843028i \(0.319229\pi\)
−0.537870 + 0.843028i \(0.680771\pi\)
\(12\) 0.527352 3.39192i 0.152233 0.979164i
\(13\) 1.44664 + 3.97461i 0.401226 + 1.10236i 0.961680 + 0.274174i \(0.0884044\pi\)
−0.560454 + 0.828185i \(0.689373\pi\)
\(14\) 0.411835 + 0.149896i 0.110068 + 0.0400613i
\(15\) −1.41042 + 4.13428i −0.364168 + 1.06747i
\(16\) −3.65678 1.33096i −0.914195 0.332740i
\(17\) 1.48046 4.06752i 0.359064 0.986519i −0.620291 0.784371i \(-0.712986\pi\)
0.979355 0.202148i \(-0.0647921\pi\)
\(18\) 0.298767 0.272101i 0.0704200 0.0641349i
\(19\) −2.66309 3.45079i −0.610954 0.791666i
\(20\) 4.32861 + 2.49913i 0.967908 + 0.558822i
\(21\) −2.91617 4.82222i −0.636359 1.05229i
\(22\) 0.484182 + 0.577025i 0.103228 + 0.123022i
\(23\) 3.14450 + 0.554460i 0.655673 + 0.115613i 0.491581 0.870832i \(-0.336419\pi\)
0.164093 + 0.986445i \(0.447530\pi\)
\(24\) −0.480735 0.794951i −0.0981296 0.162269i
\(25\) −1.04222 0.874524i −0.208443 0.174905i
\(26\) 0.493415 + 0.284873i 0.0967667 + 0.0558683i
\(27\) −5.18652 + 0.316173i −0.998147 + 0.0608476i
\(28\) −6.05930 + 2.20541i −1.14510 + 0.416782i
\(29\) 1.06770 6.05526i 0.198268 1.12443i −0.709420 0.704786i \(-0.751043\pi\)
0.907688 0.419647i \(-0.137846\pi\)
\(30\) 0.212427 + 0.548726i 0.0387837 + 0.100183i
\(31\) 6.64743i 1.19391i −0.802273 0.596957i \(-0.796376\pi\)
0.802273 0.596957i \(-0.203624\pi\)
\(32\) −1.50061 + 0.546176i −0.265272 + 0.0965511i
\(33\) −0.196557 9.68366i −0.0342163 1.68571i
\(34\) −0.199420 0.547902i −0.0342002 0.0939644i
\(35\) 8.08095 1.42489i 1.36593 0.240850i
\(36\) −0.793987 + 5.89231i −0.132331 + 0.982052i
\(37\) 4.71492i 0.775127i 0.921843 + 0.387564i \(0.126683\pi\)
−0.921843 + 0.387564i \(0.873317\pi\)
\(38\) −0.573582 0.125497i −0.0930473 0.0203582i
\(39\) −2.64485 6.83196i −0.423514 1.09399i
\(40\) 1.33216 0.234896i 0.210633 0.0371402i
\(41\) −4.53739 + 3.80732i −0.708622 + 0.594604i −0.924212 0.381880i \(-0.875277\pi\)
0.215590 + 0.976484i \(0.430832\pi\)
\(42\) −0.718441 0.245098i −0.110858 0.0378194i
\(43\) 1.19499 + 6.77712i 0.182234 + 1.03350i 0.929458 + 0.368928i \(0.120275\pi\)
−0.747224 + 0.664573i \(0.768614\pi\)
\(44\) −10.9142 1.92447i −1.64538 0.290124i
\(45\) 2.29709 7.20888i 0.342431 1.07464i
\(46\) 0.372480 0.215052i 0.0549192 0.0317076i
\(47\) −0.139535 0.0246038i −0.0203533 0.00358883i 0.163462 0.986550i \(-0.447734\pi\)
−0.183816 + 0.982961i \(0.558845\pi\)
\(48\) 6.37920 + 2.17628i 0.920759 + 0.314119i
\(49\) −1.79297 + 3.10552i −0.256139 + 0.443645i
\(50\) −0.183264 −0.0259174
\(51\) −2.42073 + 7.09574i −0.338970 + 0.993603i
\(52\) −8.25529 + 1.45563i −1.14480 + 0.201860i
\(53\) −4.63584 3.88993i −0.636782 0.534324i 0.266246 0.963905i \(-0.414217\pi\)
−0.903028 + 0.429582i \(0.858661\pi\)
\(54\) −0.507808 + 0.481698i −0.0691040 + 0.0655508i
\(55\) 13.2526 + 4.82354i 1.78698 + 0.650406i
\(56\) −0.872555 + 1.51131i −0.116600 + 0.201957i
\(57\) 4.73294 + 5.88211i 0.626894 + 0.779105i
\(58\) −0.414118 0.717273i −0.0543763 0.0941825i
\(59\) −0.831759 4.71714i −0.108286 0.614119i −0.989857 0.142068i \(-0.954625\pi\)
0.881571 0.472051i \(-0.156486\pi\)
\(60\) −7.58368 4.17557i −0.979049 0.539064i
\(61\) 4.55261 1.65702i 0.582903 0.212159i −0.0337024 0.999432i \(-0.510730\pi\)
0.616605 + 0.787273i \(0.288508\pi\)
\(62\) −0.575565 0.685931i −0.0730968 0.0871134i
\(63\) 5.21941 + 8.24811i 0.657583 + 1.03916i
\(64\) 3.78391 6.55392i 0.472989 0.819240i
\(65\) 10.6673 1.32312
\(66\) −0.858737 0.982212i −0.105703 0.120902i
\(67\) −2.35074 + 2.80150i −0.287189 + 0.342258i −0.890280 0.455414i \(-0.849491\pi\)
0.603091 + 0.797672i \(0.293936\pi\)
\(68\) 7.42928 + 4.28930i 0.900933 + 0.520154i
\(69\) −5.46480 0.849627i −0.657885 0.102283i
\(70\) 0.710479 0.846716i 0.0849185 0.101202i
\(71\) 4.47532 3.75524i 0.531122 0.445665i −0.337366 0.941373i \(-0.609536\pi\)
0.868489 + 0.495709i \(0.165092\pi\)
\(72\) 0.860428 + 1.35971i 0.101402 + 0.160244i
\(73\) −1.71133 9.70541i −0.200296 1.13593i −0.904673 0.426107i \(-0.859885\pi\)
0.704377 0.709826i \(-0.251226\pi\)
\(74\) 0.408239 + 0.486520i 0.0474568 + 0.0565568i
\(75\) 1.83554 + 1.47777i 0.211950 + 0.170639i
\(76\) 7.65156 4.01009i 0.877695 0.459989i
\(77\) −15.7566 + 9.09710i −1.79564 + 1.03671i
\(78\) −0.864457 0.475970i −0.0978805 0.0538930i
\(79\) 3.30685 9.08549i 0.372049 1.02220i −0.602518 0.798105i \(-0.705836\pi\)
0.974568 0.224092i \(-0.0719418\pi\)
\(80\) −6.30851 + 7.51819i −0.705312 + 0.840559i
\(81\) 8.97036 0.729820i 0.996707 0.0810912i
\(82\) −0.138546 + 0.785736i −0.0152999 + 0.0867700i
\(83\) 3.95513 2.28350i 0.434132 0.250646i −0.266973 0.963704i \(-0.586024\pi\)
0.701105 + 0.713058i \(0.252690\pi\)
\(84\) 10.4153 4.03207i 1.13641 0.439935i
\(85\) −8.36266 7.01710i −0.907058 0.761112i
\(86\) 0.710101 + 0.595846i 0.0765722 + 0.0642517i
\(87\) −1.63610 + 10.5234i −0.175408 + 1.12822i
\(88\) −2.59751 + 1.49967i −0.276895 + 0.159866i
\(89\) 2.35153 13.3362i 0.249262 1.41364i −0.561120 0.827734i \(-0.689629\pi\)
0.810382 0.585902i \(-0.199259\pi\)
\(90\) −0.387147 0.942759i −0.0408088 0.0993755i
\(91\) −8.84589 + 10.5421i −0.927301 + 1.10511i
\(92\) −2.16433 + 5.94645i −0.225647 + 0.619960i
\(93\) 0.233655 + 11.5113i 0.0242289 + 1.19367i
\(94\) −0.0165286 + 0.00954276i −0.00170479 + 0.000984261i
\(95\) −10.4752 + 3.33470i −1.07473 + 0.342133i
\(96\) 2.57939 0.998555i 0.263258 0.101915i
\(97\) 2.21552 + 2.64035i 0.224952 + 0.268087i 0.866702 0.498827i \(-0.166236\pi\)
−0.641750 + 0.766914i \(0.721791\pi\)
\(98\) 0.0838777 + 0.475694i 0.00847293 + 0.0480523i
\(99\) 0.680755 + 16.7622i 0.0684184 + 1.68467i
\(100\) 2.06552 1.73318i 0.206552 0.173318i
\(101\) −7.01849 + 8.36431i −0.698366 + 0.832280i −0.992340 0.123533i \(-0.960577\pi\)
0.293975 + 0.955813i \(0.405022\pi\)
\(102\) 0.364593 + 0.941789i 0.0361001 + 0.0932510i
\(103\) 12.9051 + 7.45078i 1.27158 + 0.734147i 0.975285 0.220950i \(-0.0709156\pi\)
0.296295 + 0.955097i \(0.404249\pi\)
\(104\) −1.45826 + 1.73789i −0.142994 + 0.170414i
\(105\) −13.9437 + 2.75152i −1.36076 + 0.268520i
\(106\) −0.815169 −0.0791762
\(107\) 0.768615 1.33128i 0.0743048 0.128700i −0.826479 0.562968i \(-0.809660\pi\)
0.900784 + 0.434268i \(0.142993\pi\)
\(108\) 1.16783 10.2316i 0.112374 0.984535i
\(109\) 5.52240 + 6.58135i 0.528950 + 0.630379i 0.962673 0.270668i \(-0.0872446\pi\)
−0.433722 + 0.901047i \(0.642800\pi\)
\(110\) 1.78514 0.649739i 0.170207 0.0619502i
\(111\) −0.165728 8.16479i −0.0157302 0.774968i
\(112\) −2.19861 12.4689i −0.207749 1.17820i
\(113\) −3.11821 5.40090i −0.293336 0.508074i 0.681260 0.732041i \(-0.261432\pi\)
−0.974597 + 0.223968i \(0.928099\pi\)
\(114\) 0.997680 + 0.197160i 0.0934413 + 0.0184658i
\(115\) 4.02639 6.97392i 0.375463 0.650321i
\(116\) 11.4509 + 4.16778i 1.06319 + 0.386969i
\(117\) 4.82021 + 11.7379i 0.445628 + 1.08517i
\(118\) −0.494258 0.414732i −0.0455002 0.0381792i
\(119\) 13.8695 2.44556i 1.27141 0.224185i
\(120\) −2.29863 + 0.453592i −0.209836 + 0.0414071i
\(121\) −20.2706 −1.84278
\(122\) 0.326301 0.565169i 0.0295419 0.0511680i
\(123\) 7.72355 6.75261i 0.696409 0.608862i
\(124\) 12.9741 + 2.28768i 1.16511 + 0.205440i
\(125\) 7.94907 4.58940i 0.710987 0.410488i
\(126\) 1.25274 + 0.399181i 0.111603 + 0.0355619i
\(127\) 4.03172 + 0.710901i 0.357757 + 0.0630822i 0.349638 0.936885i \(-0.386305\pi\)
0.00811892 + 0.999967i \(0.497416\pi\)
\(128\) −0.731618 4.14921i −0.0646665 0.366742i
\(129\) −2.30757 11.6939i −0.203170 1.02959i
\(130\) 1.10073 0.923625i 0.0965407 0.0810072i
\(131\) −16.7482 + 2.95316i −1.46330 + 0.258019i −0.847883 0.530183i \(-0.822123\pi\)
−0.615416 + 0.788202i \(0.711012\pi\)
\(132\) 18.9677 + 2.94896i 1.65093 + 0.256674i
\(133\) 5.39100 13.1175i 0.467459 1.13744i
\(134\) 0.492618i 0.0425557i
\(135\) −3.72447 + 12.5643i −0.320552 + 1.08136i
\(136\) 2.28641 0.403156i 0.196058 0.0345703i
\(137\) 0.142507 + 0.391534i 0.0121752 + 0.0334510i 0.945631 0.325240i \(-0.105445\pi\)
−0.933456 + 0.358691i \(0.883223\pi\)
\(138\) −0.637463 + 0.385496i −0.0542645 + 0.0328156i
\(139\) 1.78161 0.648453i 0.151114 0.0550011i −0.265356 0.964151i \(-0.585489\pi\)
0.416470 + 0.909150i \(0.363267\pi\)
\(140\) 16.2623i 1.37442i
\(141\) 0.242497 + 0.0377016i 0.0204219 + 0.00317505i
\(142\) 0.136651 0.774986i 0.0114675 0.0650354i
\(143\) −22.2261 + 8.08963i −1.85864 + 0.676489i
\(144\) −11.1233 3.54442i −0.926944 0.295368i
\(145\) −13.4294 7.75349i −1.11525 0.643892i
\(146\) −1.01693 0.853302i −0.0841614 0.0706198i
\(147\) 2.99572 5.44083i 0.247083 0.448752i
\(148\) −9.20232 1.62262i −0.756426 0.133378i
\(149\) −4.87697 5.81215i −0.399537 0.476150i 0.528342 0.849032i \(-0.322814\pi\)
−0.927879 + 0.372882i \(0.878370\pi\)
\(150\) 0.317357 0.00644167i 0.0259121 0.000525960i
\(151\) −10.9434 6.31816i −0.890559 0.514165i −0.0164340 0.999865i \(-0.505231\pi\)
−0.874125 + 0.485700i \(0.838565\pi\)
\(152\) 0.888716 2.16245i 0.0720844 0.175398i
\(153\) 3.94255 12.3727i 0.318736 1.00028i
\(154\) −0.838219 + 2.30299i −0.0675456 + 0.185580i
\(155\) −15.7538 5.73392i −1.26538 0.460560i
\(156\) 14.2445 2.81088i 1.14047 0.225050i
\(157\) 15.8179 + 5.75724i 1.26240 + 0.459478i 0.884575 0.466398i \(-0.154448\pi\)
0.377829 + 0.925875i \(0.376671\pi\)
\(158\) −0.445438 1.22383i −0.0354371 0.0973627i
\(159\) 8.16459 + 6.57323i 0.647494 + 0.521291i
\(160\) 4.02742i 0.318395i
\(161\) 3.55317 + 9.76227i 0.280029 + 0.769374i
\(162\) 0.862437 0.852003i 0.0677595 0.0669396i
\(163\) −4.08627 7.07762i −0.320061 0.554362i 0.660439 0.750879i \(-0.270370\pi\)
−0.980500 + 0.196517i \(0.937037\pi\)
\(164\) −5.86941 10.1661i −0.458324 0.793840i
\(165\) −23.1189 7.88708i −1.79981 0.614008i
\(166\) 0.210404 0.578081i 0.0163305 0.0448678i
\(167\) 0.222299 1.26072i 0.0172020 0.0975576i −0.974998 0.222214i \(-0.928672\pi\)
0.992200 + 0.124656i \(0.0397828\pi\)
\(168\) 1.45788 2.64780i 0.112478 0.204282i
\(169\) −3.74620 + 3.14344i −0.288169 + 0.241803i
\(170\) −1.47049 −0.112782
\(171\) −8.40276 10.0197i −0.642575 0.766222i
\(172\) −13.6385 −1.03992
\(173\) −10.0744 + 8.45341i −0.765941 + 0.642701i −0.939666 0.342093i \(-0.888864\pi\)
0.173725 + 0.984794i \(0.444420\pi\)
\(174\) 0.742337 + 1.22754i 0.0562764 + 0.0930596i
\(175\) 0.768669 4.35934i 0.0581059 0.329535i
\(176\) 7.44274 20.4488i 0.561017 1.54138i
\(177\) 1.60616 + 8.13941i 0.120726 + 0.611795i
\(178\) −0.912061 1.57974i −0.0683619 0.118406i
\(179\) −2.69199 4.66266i −0.201209 0.348504i 0.747710 0.664026i \(-0.231154\pi\)
−0.948918 + 0.315522i \(0.897820\pi\)
\(180\) 13.2794 + 6.96425i 0.989787 + 0.519085i
\(181\) 2.71075 + 7.44773i 0.201489 + 0.553586i 0.998747 0.0500533i \(-0.0159391\pi\)
−0.797258 + 0.603639i \(0.793717\pi\)
\(182\) 1.85373i 0.137408i
\(183\) −7.82549 + 3.02947i −0.578477 + 0.223945i
\(184\) 0.585747 + 1.60933i 0.0431818 + 0.118641i
\(185\) 11.1739 + 4.06698i 0.821524 + 0.299010i
\(186\) 1.02081 + 1.16759i 0.0748496 + 0.0856120i
\(187\) 22.7456 + 8.27874i 1.66333 + 0.605401i
\(188\) 0.0960407 0.263870i 0.00700448 0.0192447i
\(189\) −9.32833 14.0997i −0.678536 1.02561i
\(190\) −0.792174 + 1.25109i −0.0574704 + 0.0907635i
\(191\) −11.9444 6.89608i −0.864263 0.498983i 0.00117451 0.999999i \(-0.499626\pi\)
−0.865438 + 0.501017i \(0.832959\pi\)
\(192\) −6.32220 + 11.4824i −0.456266 + 0.828670i
\(193\) 7.28513 + 8.68208i 0.524395 + 0.624950i 0.961614 0.274405i \(-0.0884809\pi\)
−0.437219 + 0.899355i \(0.644036\pi\)
\(194\) 0.457227 + 0.0806215i 0.0328270 + 0.00578829i
\(195\) −18.4725 + 0.374953i −1.32285 + 0.0268509i
\(196\) −5.44414 4.56818i −0.388867 0.326298i
\(197\) −4.19971 2.42471i −0.299217 0.172753i 0.342874 0.939381i \(-0.388600\pi\)
−0.642091 + 0.766628i \(0.721933\pi\)
\(198\) 1.52159 + 1.67071i 0.108135 + 0.118732i
\(199\) 7.72995 2.81347i 0.547962 0.199442i −0.0531789 0.998585i \(-0.516935\pi\)
0.601141 + 0.799143i \(0.294713\pi\)
\(200\) 0.126716 0.718644i 0.00896020 0.0508158i
\(201\) 3.97229 4.93398i 0.280184 0.348016i
\(202\) 1.47078i 0.103484i
\(203\) 18.7989 6.84223i 1.31942 0.480230i
\(204\) −13.0160 7.16661i −0.911303 0.501763i
\(205\) 5.10917 + 14.0373i 0.356840 + 0.980410i
\(206\) 1.97677 0.348558i 0.137728 0.0242852i
\(207\) 9.49323 + 1.27921i 0.659825 + 0.0889111i
\(208\) 16.4597i 1.14127i
\(209\) 19.2969 14.8920i 1.33479 1.03010i
\(210\) −1.20057 + 1.49123i −0.0828472 + 0.102904i
\(211\) −2.18267 + 0.384864i −0.150261 + 0.0264951i −0.248273 0.968690i \(-0.579863\pi\)
0.0980114 + 0.995185i \(0.468752\pi\)
\(212\) 9.18757 7.70929i 0.631005 0.529476i
\(213\) −7.61788 + 6.66023i −0.521969 + 0.456351i
\(214\) −0.0359569 0.203922i −0.00245796 0.0139398i
\(215\) 17.0919 + 3.01377i 1.16566 + 0.205537i
\(216\) −1.53779 2.32437i −0.104633 0.158153i
\(217\) 18.7305 10.8141i 1.27151 0.734106i
\(218\) 1.13969 + 0.200957i 0.0771892 + 0.0136105i
\(219\) 3.30464 + 16.7467i 0.223307 + 1.13163i
\(220\) −13.9751 + 24.2057i −0.942204 + 1.63195i
\(221\) 18.3085 1.23156
\(222\) −0.724046 0.828154i −0.0485948 0.0555821i
\(223\) −17.4612 + 3.07887i −1.16929 + 0.206177i −0.724380 0.689401i \(-0.757874\pi\)
−0.444905 + 0.895578i \(0.646763\pi\)
\(224\) −3.98015 3.33974i −0.265935 0.223146i
\(225\) −3.23054 2.49454i −0.215369 0.166302i
\(226\) −0.789394 0.287316i −0.0525097 0.0191120i
\(227\) −11.6829 + 20.2354i −0.775421 + 1.34307i 0.159136 + 0.987257i \(0.449129\pi\)
−0.934557 + 0.355813i \(0.884204\pi\)
\(228\) −13.1092 + 7.21320i −0.868179 + 0.477706i
\(229\) −3.85869 6.68345i −0.254989 0.441655i 0.709903 0.704299i \(-0.248739\pi\)
−0.964893 + 0.262645i \(0.915405\pi\)
\(230\) −0.188360 1.06824i −0.0124201 0.0704379i
\(231\) 26.9659 16.3072i 1.77423 1.07294i
\(232\) 3.09902 1.12795i 0.203461 0.0740537i
\(233\) 12.0936 + 14.4126i 0.792278 + 0.944200i 0.999418 0.0341109i \(-0.0108600\pi\)
−0.207140 + 0.978311i \(0.566416\pi\)
\(234\) 1.51371 + 0.793849i 0.0989540 + 0.0518955i
\(235\) −0.178668 + 0.309463i −0.0116550 + 0.0201871i
\(236\) 9.49291 0.617936
\(237\) −5.40710 + 15.8495i −0.351229 + 1.02954i
\(238\) 1.21941 1.45323i 0.0790425 0.0941992i
\(239\) −2.35071 1.35718i −0.152055 0.0877887i 0.422042 0.906576i \(-0.361313\pi\)
−0.574097 + 0.818787i \(0.694647\pi\)
\(240\) 10.6601 13.2409i 0.688109 0.854699i
\(241\) −12.5086 + 14.9072i −0.805750 + 0.960255i −0.999785 0.0207393i \(-0.993398\pi\)
0.194035 + 0.980995i \(0.437842\pi\)
\(242\) −2.09167 + 1.75512i −0.134458 + 0.112823i
\(243\) −15.5083 + 1.57913i −0.994856 + 0.101301i
\(244\) 1.66731 + 9.45581i 0.106739 + 0.605346i
\(245\) 5.81323 + 6.92793i 0.371393 + 0.442609i
\(246\) 0.212302 1.36552i 0.0135359 0.0870626i
\(247\) 9.86304 15.5768i 0.627570 0.991128i
\(248\) 3.08775 1.78272i 0.196073 0.113203i
\(249\) −6.76881 + 4.09334i −0.428956 + 0.259405i
\(250\) 0.422873 1.16183i 0.0267449 0.0734809i
\(251\) 1.06650 1.27100i 0.0673166 0.0802248i −0.731335 0.682018i \(-0.761102\pi\)
0.798652 + 0.601793i \(0.205547\pi\)
\(252\) −17.8945 + 7.34841i −1.12724 + 0.462906i
\(253\) −3.10055 + 17.5841i −0.194930 + 1.10550i
\(254\) 0.477575 0.275728i 0.0299657 0.0173007i
\(255\) 14.7282 + 11.8575i 0.922317 + 0.742548i
\(256\) 11.1598 + 9.36420i 0.697489 + 0.585262i
\(257\) 8.68951 + 7.29137i 0.542037 + 0.454823i 0.872234 0.489089i \(-0.162671\pi\)
−0.330197 + 0.943912i \(0.607115\pi\)
\(258\) −1.25062 1.00686i −0.0778603 0.0626845i
\(259\) −13.2852 + 7.67024i −0.825505 + 0.476605i
\(260\) −3.67111 + 20.8199i −0.227673 + 1.29120i
\(261\) 2.46333 18.2808i 0.152476 1.13155i
\(262\) −1.47251 + 1.75487i −0.0909719 + 0.108416i
\(263\) −1.34452 + 3.69404i −0.0829066 + 0.227784i −0.974218 0.225607i \(-0.927564\pi\)
0.891312 + 0.453391i \(0.149786\pi\)
\(264\) 4.44538 2.68828i 0.273594 0.165452i
\(265\) −13.2176 + 7.63117i −0.811949 + 0.468779i
\(266\) −0.579493 1.82034i −0.0355310 0.111612i
\(267\) −3.60337 + 23.1769i −0.220523 + 1.41840i
\(268\) −4.65883 5.55218i −0.284583 0.339153i
\(269\) 0.440791 + 2.49985i 0.0268755 + 0.152419i 0.995292 0.0969181i \(-0.0308985\pi\)
−0.968417 + 0.249337i \(0.919787\pi\)
\(270\) 0.703557 + 1.61896i 0.0428171 + 0.0985269i
\(271\) −2.66821 + 2.23890i −0.162082 + 0.136003i −0.720222 0.693744i \(-0.755960\pi\)
0.558139 + 0.829747i \(0.311515\pi\)
\(272\) −10.8274 + 12.9036i −0.656508 + 0.782396i
\(273\) 14.9478 18.5667i 0.904683 1.12370i
\(274\) 0.0486056 + 0.0280625i 0.00293637 + 0.00169532i
\(275\) 4.89035 5.82809i 0.294899 0.351447i
\(276\) 3.53894 10.3735i 0.213019 0.624412i
\(277\) −6.95207 −0.417709 −0.208855 0.977947i \(-0.566974\pi\)
−0.208855 + 0.977947i \(0.566974\pi\)
\(278\) 0.127694 0.221172i 0.00765856 0.0132650i
\(279\) −0.809239 19.9259i −0.0484478 1.19293i
\(280\) 2.82902 + 3.37150i 0.169067 + 0.201486i
\(281\) 20.7754 7.56162i 1.23936 0.451089i 0.362564 0.931959i \(-0.381901\pi\)
0.876792 + 0.480870i \(0.159679\pi\)
\(282\) 0.0282870 0.0171061i 0.00168446 0.00101865i
\(283\) −1.68623 9.56307i −0.100236 0.568466i −0.993017 0.117974i \(-0.962360\pi\)
0.892781 0.450491i \(-0.148751\pi\)
\(284\) 5.78911 + 10.0270i 0.343520 + 0.594995i
\(285\) 18.0226 6.14288i 1.06757 0.363873i
\(286\) −1.59302 + 2.75918i −0.0941970 + 0.163154i
\(287\) −18.1094 6.59127i −1.06896 0.389070i
\(288\) −4.43162 + 1.81986i −0.261136 + 0.107236i
\(289\) −1.33023 1.11620i −0.0782490 0.0656587i
\(290\) −2.05708 + 0.362719i −0.120796 + 0.0212996i
\(291\) −3.92941 4.49441i −0.230346 0.263467i
\(292\) 19.5315 1.14299
\(293\) 7.50380 12.9970i 0.438377 0.759291i −0.559188 0.829041i \(-0.688887\pi\)
0.997564 + 0.0697501i \(0.0222202\pi\)
\(294\) −0.161971 0.820808i −0.00944634 0.0478705i
\(295\) −11.8967 2.09770i −0.692650 0.122133i
\(296\) −2.19009 + 1.26445i −0.127297 + 0.0734947i
\(297\) −1.76805 29.0031i −0.102592 1.68293i
\(298\) −1.00648 0.177470i −0.0583040 0.0102806i
\(299\) 2.34520 + 13.3003i 0.135626 + 0.769175i
\(300\) −3.51594 + 3.07394i −0.202993 + 0.177474i
\(301\) −17.1519 + 14.3922i −0.988620 + 0.829550i
\(302\) −1.67627 + 0.295572i −0.0964587 + 0.0170083i
\(303\) 11.8599 14.7311i 0.681332 0.846281i
\(304\) 5.14545 + 16.1632i 0.295112 + 0.927026i
\(305\) 12.2186i 0.699635i
\(306\) −0.664467 1.61807i −0.0379851 0.0924992i
\(307\) −23.6620 + 4.17224i −1.35046 + 0.238122i −0.801634 0.597815i \(-0.796036\pi\)
−0.548825 + 0.835937i \(0.684925\pi\)
\(308\) −12.3327 33.8837i −0.702718 1.93070i
\(309\) −22.6096 12.4489i −1.28622 0.708191i
\(310\) −2.12207 + 0.772369i −0.120525 + 0.0438676i
\(311\) 16.9267i 0.959825i 0.877316 + 0.479912i \(0.159332\pi\)
−0.877316 + 0.479912i \(0.840668\pi\)
\(312\) 2.46417 3.06074i 0.139506 0.173280i
\(313\) 1.95010 11.0596i 0.110226 0.625125i −0.878777 0.477233i \(-0.841640\pi\)
0.989003 0.147893i \(-0.0472490\pi\)
\(314\) 2.13069 0.775509i 0.120242 0.0437645i
\(315\) 24.0494 5.25490i 1.35503 0.296080i
\(316\) 16.5945 + 9.58086i 0.933516 + 0.538966i
\(317\) −0.731718 0.613984i −0.0410974 0.0344848i 0.622008 0.783011i \(-0.286317\pi\)
−0.663105 + 0.748526i \(0.730762\pi\)
\(318\) 1.41162 0.0286529i 0.0791599 0.00160678i
\(319\) 33.8611 + 5.97062i 1.89586 + 0.334291i
\(320\) −12.2683 14.6208i −0.685819 0.817327i
\(321\) −1.28421 + 2.33239i −0.0716777 + 0.130181i
\(322\) 1.21190 + 0.699693i 0.0675368 + 0.0389924i
\(323\) −17.9788 + 5.72341i −1.00037 + 0.318459i
\(324\) −1.66269 + 17.7590i −0.0923714 + 0.986613i
\(325\) 1.96818 5.40753i 0.109175 0.299956i
\(326\) −1.03446 0.376514i −0.0572936 0.0208532i
\(327\) −9.79445 11.2028i −0.541634 0.619514i
\(328\) −2.98536 1.08658i −0.164839 0.0599964i
\(329\) −0.157670 0.433194i −0.00869261 0.0238827i
\(330\) −3.06848 + 1.18790i −0.168914 + 0.0653915i
\(331\) 0.710114i 0.0390314i 0.999810 + 0.0195157i \(0.00621244\pi\)
−0.999810 + 0.0195157i \(0.993788\pi\)
\(332\) 3.09566 + 8.50527i 0.169897 + 0.466787i
\(333\) 0.573980 + 14.1331i 0.0314539 + 0.774489i
\(334\) −0.0862205 0.149338i −0.00471778 0.00817143i
\(335\) 4.61162 + 7.98756i 0.251960 + 0.436407i
\(336\) 4.24560 + 21.5151i 0.231616 + 1.17374i
\(337\) −0.997763 + 2.74133i −0.0543516 + 0.149330i −0.963897 0.266274i \(-0.914207\pi\)
0.909546 + 0.415604i \(0.136430\pi\)
\(338\) −0.114388 + 0.648726i −0.00622188 + 0.0352860i
\(339\) 5.58962 + 9.24310i 0.303587 + 0.502016i
\(340\) 16.5736 13.9069i 0.898829 0.754207i
\(341\) 37.1725 2.01301
\(342\) −1.73461 0.306353i −0.0937968 0.0165657i
\(343\) 11.1080 0.599775
\(344\) −2.82752 + 2.37257i −0.152450 + 0.127921i
\(345\) −6.72735 + 12.2182i −0.362188 + 0.657807i
\(346\) −0.307615 + 1.74457i −0.0165375 + 0.0937887i
\(347\) 10.0537 27.6224i 0.539712 1.48285i −0.307478 0.951555i \(-0.599485\pi\)
0.847190 0.531291i \(-0.178293\pi\)
\(348\) −19.9759 6.81482i −1.07082 0.365313i
\(349\) −8.53800 14.7882i −0.457028 0.791597i 0.541774 0.840524i \(-0.317753\pi\)
−0.998802 + 0.0489277i \(0.984420\pi\)
\(350\) −0.298134 0.516384i −0.0159359 0.0276019i
\(351\) −8.75970 20.1570i −0.467558 1.07590i
\(352\) −3.05422 8.39140i −0.162791 0.447263i
\(353\) 16.8199i 0.895235i 0.894225 + 0.447618i \(0.147727\pi\)
−0.894225 + 0.447618i \(0.852273\pi\)
\(354\) 0.870482 + 0.700816i 0.0462656 + 0.0372479i
\(355\) −5.03927 13.8453i −0.267457 0.734831i
\(356\) 25.2196 + 9.17920i 1.33664 + 0.486497i
\(357\) −23.9318 + 4.72248i −1.26660 + 0.249940i
\(358\) −0.681493 0.248043i −0.0360180 0.0131095i
\(359\) −5.55151 + 15.2527i −0.292998 + 0.805004i 0.702627 + 0.711559i \(0.252010\pi\)
−0.995624 + 0.0934457i \(0.970212\pi\)
\(360\) 3.96459 0.866279i 0.208952 0.0456569i
\(361\) −4.81596 + 18.3795i −0.253471 + 0.967343i
\(362\) 0.924574 + 0.533803i 0.0485945 + 0.0280561i
\(363\) 35.1025 0.712506i 1.84240 0.0373968i
\(364\) −17.5313 20.8930i −0.918888 1.09509i
\(365\) −24.4771 4.31598i −1.28119 0.225909i
\(366\) −0.545187 + 0.990169i −0.0284974 + 0.0517570i
\(367\) −9.78337 8.20922i −0.510688 0.428518i 0.350683 0.936494i \(-0.385949\pi\)
−0.861371 + 0.507976i \(0.830394\pi\)
\(368\) −10.7608 6.21274i −0.560944 0.323861i
\(369\) −13.1375 + 11.9649i −0.683910 + 0.622870i
\(370\) 1.50515 0.547828i 0.0782488 0.0284802i
\(371\) 3.41908 19.3906i 0.177510 1.00671i
\(372\) −22.5476 3.50553i −1.16904 0.181753i
\(373\) 8.95828i 0.463842i 0.972735 + 0.231921i \(0.0745011\pi\)
−0.972735 + 0.231921i \(0.925499\pi\)
\(374\) 3.06387 1.11516i 0.158429 0.0576635i
\(375\) −13.6040 + 8.22684i −0.702510 + 0.424832i
\(376\) −0.0259921 0.0714127i −0.00134044 0.00368283i
\(377\) 25.6119 4.51607i 1.31908 0.232589i
\(378\) −2.18339 0.647226i −0.112301 0.0332897i
\(379\) 13.5552i 0.696283i −0.937442 0.348142i \(-0.886813\pi\)
0.937442 0.348142i \(-0.113187\pi\)
\(380\) −2.90350 21.5925i −0.148946 1.10767i
\(381\) −7.00669 1.08935i −0.358964 0.0558090i
\(382\) −1.82960 + 0.322608i −0.0936105 + 0.0165061i
\(383\) −23.1176 + 19.3980i −1.18125 + 0.991190i −0.181284 + 0.983431i \(0.558025\pi\)
−0.999970 + 0.00775906i \(0.997530\pi\)
\(384\) 1.41278 + 7.15945i 0.0720957 + 0.365354i
\(385\) 7.96800 + 45.1888i 0.406087 + 2.30303i
\(386\) 1.50347 + 0.265102i 0.0765245 + 0.0134933i
\(387\) 4.40704 + 20.1691i 0.224022 + 1.02525i
\(388\) −5.91576 + 3.41547i −0.300327 + 0.173394i
\(389\) −32.7269 5.77063i −1.65932 0.292582i −0.736104 0.676869i \(-0.763336\pi\)
−0.923214 + 0.384286i \(0.874448\pi\)
\(390\) −1.87367 + 1.63813i −0.0948769 + 0.0829497i
\(391\) 6.91058 11.9695i 0.349483 0.605322i
\(392\) −1.92336 −0.0971446
\(393\) 28.8990 5.70267i 1.45776 0.287662i
\(394\) −0.643300 + 0.113431i −0.0324090 + 0.00571458i
\(395\) −18.6794 15.6739i −0.939862 0.788638i
\(396\) −32.9499 4.43998i −1.65579 0.223118i
\(397\) −7.21012 2.62427i −0.361865 0.131708i 0.154688 0.987963i \(-0.450563\pi\)
−0.516553 + 0.856255i \(0.672785\pi\)
\(398\) 0.554030 0.959609i 0.0277710 0.0481008i
\(399\) −8.87449 + 22.9051i −0.444280 + 1.14669i
\(400\) 2.64720 + 4.58509i 0.132360 + 0.229254i
\(401\) 0.731594 + 4.14908i 0.0365341 + 0.207195i 0.997611 0.0690872i \(-0.0220087\pi\)
−0.961077 + 0.276282i \(0.910898\pi\)
\(402\) −0.0173154 0.853063i −0.000863612 0.0425469i
\(403\) 26.4210 9.61645i 1.31612 0.479029i
\(404\) −13.9096 16.5769i −0.692030 0.824729i
\(405\) 6.00802 21.8885i 0.298541 1.08765i
\(406\) 1.34738 2.33372i 0.0668691 0.115821i
\(407\) −26.3659 −1.30691
\(408\) −3.94519 + 0.778509i −0.195316 + 0.0385419i
\(409\) 16.5354 19.7061i 0.817622 0.974403i −0.182339 0.983236i \(-0.558367\pi\)
0.999961 + 0.00883223i \(0.00281142\pi\)
\(410\) 1.74262 + 1.00610i 0.0860617 + 0.0496878i
\(411\) −0.260540 0.673007i −0.0128515 0.0331970i
\(412\) −18.9833 + 22.6234i −0.935239 + 1.11457i
\(413\) 11.9384 10.0175i 0.587450 0.492929i
\(414\) 1.09034 0.689968i 0.0535873 0.0339101i
\(415\) −2.00008 11.3430i −0.0981799 0.556806i
\(416\) −4.34167 5.17420i −0.212868 0.253686i
\(417\) −3.06241 + 1.18555i −0.149967 + 0.0580564i
\(418\) 0.701778 3.20748i 0.0343251 0.156883i
\(419\) 31.5553 18.2185i 1.54158 0.890030i 0.542837 0.839838i \(-0.317350\pi\)
0.998740 0.0501919i \(-0.0159833\pi\)
\(420\) −0.571616 28.1614i −0.0278920 1.37414i
\(421\) 7.85109 21.5707i 0.382639 1.05129i −0.587602 0.809150i \(-0.699928\pi\)
0.970241 0.242141i \(-0.0778498\pi\)
\(422\) −0.191901 + 0.228699i −0.00934160 + 0.0111329i
\(423\) −0.421255 0.0567640i −0.0204821 0.00275996i
\(424\) 0.563642 3.19657i 0.0273729 0.155239i
\(425\) −5.10011 + 2.94455i −0.247391 + 0.142832i
\(426\) −0.209397 + 1.34684i −0.0101453 + 0.0652547i
\(427\) 12.0752 + 10.1323i 0.584359 + 0.490336i
\(428\) 2.33381 + 1.95830i 0.112809 + 0.0946578i
\(429\) 38.2044 14.7900i 1.84453 0.714068i
\(430\) 2.02462 1.16891i 0.0976358 0.0563701i
\(431\) −1.78163 + 10.1041i −0.0858180 + 0.486698i 0.911359 + 0.411612i \(0.135034\pi\)
−0.997177 + 0.0750858i \(0.976077\pi\)
\(432\) 19.3868 + 5.74687i 0.932747 + 0.276497i
\(433\) 19.5271 23.2715i 0.938412 1.11836i −0.0543821 0.998520i \(-0.517319\pi\)
0.992794 0.119835i \(-0.0382367\pi\)
\(434\) 0.996422 2.73765i 0.0478298 0.131411i
\(435\) 23.5282 + 12.9546i 1.12809 + 0.621127i
\(436\) −14.7456 + 8.51339i −0.706188 + 0.407718i
\(437\) −6.46074 12.3276i −0.309059 0.589709i
\(438\) 1.79100 + 1.44191i 0.0855772 + 0.0688973i
\(439\) 1.64359 + 1.95875i 0.0784443 + 0.0934862i 0.803839 0.594847i \(-0.202787\pi\)
−0.725395 + 0.688333i \(0.758343\pi\)
\(440\) 1.31354 + 7.44945i 0.0626205 + 0.355138i
\(441\) −4.99643 + 9.52715i −0.237925 + 0.453674i
\(442\) 1.88921 1.58523i 0.0898605 0.0754019i
\(443\) 13.3813 15.9472i 0.635764 0.757675i −0.347930 0.937520i \(-0.613115\pi\)
0.983695 + 0.179846i \(0.0575599\pi\)
\(444\) 15.9926 + 2.48642i 0.758977 + 0.118000i
\(445\) −29.5773 17.0764i −1.40210 0.809501i
\(446\) −1.53519 + 1.82957i −0.0726933 + 0.0866325i
\(447\) 8.64972 + 9.89344i 0.409118 + 0.467944i
\(448\) 24.6227 1.16331
\(449\) −18.2631 + 31.6327i −0.861890 + 1.49284i 0.00821237 + 0.999966i \(0.497386\pi\)
−0.870102 + 0.492871i \(0.835947\pi\)
\(450\) −0.549339 + 0.0223100i −0.0258961 + 0.00105170i
\(451\) −21.2906 25.3732i −1.00254 1.19478i
\(452\) 11.6143 4.22726i 0.546291 0.198834i
\(453\) 19.1727 + 10.5565i 0.900810 + 0.495986i
\(454\) 0.546542 + 3.09959i 0.0256505 + 0.145471i
\(455\) 17.3536 + 30.0574i 0.813550 + 1.40911i
\(456\) −1.46297 + 3.77594i −0.0685101 + 0.176825i
\(457\) 11.6182 20.1233i 0.543477 0.941330i −0.455224 0.890377i \(-0.650441\pi\)
0.998701 0.0509530i \(-0.0162259\pi\)
\(458\) −0.976852 0.355545i −0.0456453 0.0166135i
\(459\) −6.39238 + 21.5644i −0.298371 + 1.00654i
\(460\) 12.2257 + 10.2585i 0.570024 + 0.478307i
\(461\) −11.2368 + 1.98135i −0.523349 + 0.0922806i −0.429081 0.903266i \(-0.641162\pi\)
−0.0942687 + 0.995547i \(0.530051\pi\)
\(462\) 1.37059 4.01753i 0.0637656 0.186913i
\(463\) −33.6219 −1.56254 −0.781272 0.624191i \(-0.785429\pi\)
−0.781272 + 0.624191i \(0.785429\pi\)
\(464\) −11.9637 + 20.7217i −0.555399 + 0.961979i
\(465\) 27.4824 + 9.37566i 1.27446 + 0.434786i
\(466\) 2.49581 + 0.440079i 0.115616 + 0.0203863i
\(467\) −24.9139 + 14.3841i −1.15288 + 0.665615i −0.949587 0.313503i \(-0.898497\pi\)
−0.203292 + 0.979118i \(0.565164\pi\)
\(468\) −24.5683 + 5.36827i −1.13567 + 0.248148i
\(469\) −11.7180 2.06620i −0.541087 0.0954083i
\(470\) 0.00835835 + 0.0474026i 0.000385542 + 0.00218652i
\(471\) −27.5941 9.41378i −1.27147 0.433764i
\(472\) 1.96807 1.65140i 0.0905875 0.0760120i
\(473\) −37.8977 + 6.68239i −1.74254 + 0.307257i
\(474\) 0.814379 + 2.10364i 0.0374057 + 0.0966235i
\(475\) −0.242289 + 5.92541i −0.0111170 + 0.271876i
\(476\) 27.9114i 1.27931i
\(477\) −14.3696 11.0958i −0.657940 0.508044i
\(478\) −0.360074 + 0.0634908i −0.0164694 + 0.00290400i
\(479\) 13.0939 + 35.9753i 0.598277 + 1.64375i 0.754707 + 0.656062i \(0.227779\pi\)
−0.156430 + 0.987689i \(0.549999\pi\)
\(480\) −0.141563 6.97426i −0.00646142 0.318330i
\(481\) −18.7400 + 6.82079i −0.854469 + 0.311001i
\(482\) 2.62128i 0.119396i
\(483\) −6.49615 16.7804i −0.295585 0.763533i
\(484\) 6.97604 39.5631i 0.317093 1.79832i
\(485\) 8.16846 2.97308i 0.370911 0.135000i
\(486\) −1.46353 + 1.50572i −0.0663870 + 0.0683009i
\(487\) 10.4152 + 6.01323i 0.471959 + 0.272486i 0.717059 0.697012i \(-0.245488\pi\)
−0.245100 + 0.969498i \(0.578821\pi\)
\(488\) 1.99062 + 1.67032i 0.0901109 + 0.0756120i
\(489\) 7.32494 + 12.1126i 0.331245 + 0.547753i
\(490\) 1.19970 + 0.211540i 0.0541971 + 0.00955641i
\(491\) −17.7421 21.1442i −0.800688 0.954222i 0.198980 0.980004i \(-0.436237\pi\)
−0.999668 + 0.0257812i \(0.991793\pi\)
\(492\) 10.5214 + 17.3983i 0.474339 + 0.784376i
\(493\) −23.0492 13.3075i −1.03808 0.599338i
\(494\) −0.330967 2.46132i −0.0148909 0.110740i
\(495\) 40.3122 + 12.8454i 1.81190 + 0.577357i
\(496\) −8.84746 + 24.3082i −0.397263 + 1.09147i
\(497\) 17.8616 + 6.50109i 0.801202 + 0.291614i
\(498\) −0.344036 + 1.00846i −0.0154166 + 0.0451900i
\(499\) 39.9561 + 14.5428i 1.78868 + 0.651027i 0.999311 + 0.0371090i \(0.0118149\pi\)
0.789370 + 0.613918i \(0.210407\pi\)
\(500\) 6.22171 + 17.0940i 0.278243 + 0.764467i
\(501\) −0.340640 + 2.19100i −0.0152187 + 0.0978866i
\(502\) 0.223493i 0.00997499i
\(503\) −1.07189 2.94500i −0.0477934 0.131311i 0.913499 0.406840i \(-0.133369\pi\)
−0.961293 + 0.275529i \(0.911147\pi\)
\(504\) −2.43153 + 4.63642i −0.108309 + 0.206523i
\(505\) 13.7687 + 23.8481i 0.612698 + 1.06122i
\(506\) 1.20257 + 2.08292i 0.0534608 + 0.0925969i
\(507\) 6.37678 5.57515i 0.283203 0.247601i
\(508\) −2.77500 + 7.62424i −0.123121 + 0.338271i
\(509\) −2.36932 + 13.4371i −0.105018 + 0.595587i 0.886195 + 0.463312i \(0.153339\pi\)
−0.991213 + 0.132275i \(0.957772\pi\)
\(510\) 2.54645 0.0516874i 0.112758 0.00228876i
\(511\) 24.5630 20.6108i 1.08660 0.911768i
\(512\) 10.3888 0.459124
\(513\) 14.9032 + 17.0556i 0.657993 + 0.753024i
\(514\) 1.52797 0.0673958
\(515\) 28.7893 24.1571i 1.26861 1.06449i
\(516\) 23.6177 0.479388i 1.03971 0.0211039i
\(517\) 0.137585 0.780281i 0.00605096 0.0343167i
\(518\) −0.706746 + 1.94177i −0.0310526 + 0.0853164i
\(519\) 17.1486 14.9928i 0.752740 0.658112i
\(520\) 2.86077 + 4.95501i 0.125453 + 0.217291i
\(521\) 12.4453 + 21.5558i 0.545237 + 0.944377i 0.998592 + 0.0530476i \(0.0168935\pi\)
−0.453355 + 0.891330i \(0.649773\pi\)
\(522\) −1.32865 2.09963i −0.0581534 0.0918984i
\(523\) 5.92536 + 16.2798i 0.259098 + 0.711866i 0.999224 + 0.0393974i \(0.0125438\pi\)
−0.740126 + 0.672469i \(0.765234\pi\)
\(524\) 33.7046i 1.47239i
\(525\) −1.17787 + 7.57606i −0.0514065 + 0.330646i
\(526\) 0.181109 + 0.497593i 0.00789672 + 0.0216961i
\(527\) −27.0386 9.84124i −1.17782 0.428691i
\(528\) −12.1698 + 35.6726i −0.529622 + 1.55245i
\(529\) −12.0325 4.37946i −0.523151 0.190412i
\(530\) −0.703146 + 1.93188i −0.0305427 + 0.0839154i
\(531\) −3.06747 14.0385i −0.133117 0.609219i
\(532\) 23.7468 + 15.0362i 1.02956 + 0.651903i
\(533\) −21.6966 12.5265i −0.939785 0.542585i
\(534\) 1.63494 + 2.70356i 0.0707507 + 0.116995i
\(535\) −2.49203 2.96988i −0.107740 0.128399i
\(536\) −1.93173 0.340617i −0.0834381 0.0147124i
\(537\) 4.82559 + 7.97968i 0.208240 + 0.344348i
\(538\) 0.261933 + 0.219788i 0.0112927 + 0.00947571i
\(539\) −17.3661 10.0263i −0.748011 0.431864i
\(540\) −23.2406 11.5932i −1.00012 0.498891i
\(541\) −22.9418 + 8.35015i −0.986347 + 0.359001i −0.784305 0.620376i \(-0.786980\pi\)
−0.202042 + 0.979377i \(0.564758\pi\)
\(542\) −0.0814722 + 0.462052i −0.00349953 + 0.0198468i
\(543\) −4.95598 12.8019i −0.212681 0.549383i
\(544\) 6.91234i 0.296364i
\(545\) 20.3607 7.41069i 0.872157 0.317439i
\(546\) −0.0651580 3.21009i −0.00278851 0.137379i
\(547\) 12.3945 + 34.0536i 0.529951 + 1.45603i 0.859128 + 0.511761i \(0.171006\pi\)
−0.329177 + 0.944268i \(0.606771\pi\)
\(548\) −0.813217 + 0.143392i −0.0347389 + 0.00612541i
\(549\) 13.4449 5.52118i 0.573813 0.235638i
\(550\) 1.02481i 0.0436982i
\(551\) −23.7388 + 12.4412i −1.01131 + 0.530014i
\(552\) −1.07090 2.76627i −0.0455806 0.117740i
\(553\) 30.9798 5.46258i 1.31740 0.232292i
\(554\) −0.717366 + 0.601941i −0.0304780 + 0.0255740i
\(555\) −19.4928 6.65000i −0.827423 0.282277i
\(556\) 0.652483 + 3.70041i 0.0276714 + 0.156933i
\(557\) 28.5484 + 5.03385i 1.20963 + 0.213291i 0.741858 0.670557i \(-0.233945\pi\)
0.467775 + 0.883848i \(0.345056\pi\)
\(558\) −1.80878 1.98603i −0.0765716 0.0840754i
\(559\) −25.2077 + 14.5537i −1.06617 + 0.615555i
\(560\) −31.4467 5.54490i −1.32887 0.234315i
\(561\) −39.6795 13.5367i −1.67527 0.571521i
\(562\) 1.48904 2.57909i 0.0628113 0.108792i
\(563\) 24.4247 1.02938 0.514689 0.857377i \(-0.327907\pi\)
0.514689 + 0.857377i \(0.327907\pi\)
\(564\) −0.157038 + 0.460317i −0.00661250 + 0.0193828i
\(565\) −15.4893 + 2.73119i −0.651641 + 0.114902i
\(566\) −1.00201 0.840787i −0.0421177 0.0353409i
\(567\) 16.6494 + 24.0885i 0.699210 + 1.01162i
\(568\) 2.94452 + 1.07172i 0.123549 + 0.0449682i
\(569\) −14.7212 + 25.4978i −0.617144 + 1.06893i 0.372860 + 0.927888i \(0.378377\pi\)
−0.990004 + 0.141038i \(0.954956\pi\)
\(570\) 1.32783 2.19435i 0.0556166 0.0919111i
\(571\) −1.77107 3.06758i −0.0741170 0.128374i 0.826585 0.562812i \(-0.190280\pi\)
−0.900702 + 0.434438i \(0.856947\pi\)
\(572\) −8.13991 46.1637i −0.340347 1.93020i
\(573\) 20.9264 + 11.5221i 0.874211 + 0.481341i
\(574\) −2.43936 + 0.887854i −0.101817 + 0.0370583i
\(575\) −2.79236 3.32781i −0.116450 0.138779i
\(576\) 10.5445 20.1062i 0.439355 0.837759i
\(577\) 12.1224 20.9967i 0.504664 0.874103i −0.495322 0.868710i \(-0.664950\pi\)
0.999985 0.00539373i \(-0.00171688\pi\)
\(578\) −0.233909 −0.00972932
\(579\) −12.9208 14.7786i −0.536970 0.614179i
\(580\) 19.7545 23.5425i 0.820262 0.977551i
\(581\) 12.8684 + 7.42959i 0.533872 + 0.308231i
\(582\) −0.794612 0.123540i −0.0329377 0.00512091i
\(583\) 21.7526 25.9237i 0.900899 1.07365i
\(584\) 4.04925 3.39773i 0.167559 0.140599i
\(585\) 31.9756 1.29861i 1.32203 0.0536908i
\(586\) −0.351038 1.99084i −0.0145013 0.0822407i
\(587\) −16.7138 19.9187i −0.689853 0.822135i 0.301485 0.953471i \(-0.402518\pi\)
−0.991338 + 0.131336i \(0.958073\pi\)
\(588\) 9.58816 + 7.71933i 0.395409 + 0.318340i
\(589\) −22.9389 + 17.7027i −0.945182 + 0.729426i
\(590\) −1.40921 + 0.813610i −0.0580164 + 0.0334958i
\(591\) 7.35785 + 4.05123i 0.302661 + 0.166645i
\(592\) 6.27536 17.2414i 0.257916 0.708617i
\(593\) −1.71132 + 2.03947i −0.0702756 + 0.0837511i −0.800037 0.599951i \(-0.795187\pi\)
0.729761 + 0.683702i \(0.239631\pi\)
\(594\) −2.69366 2.83967i −0.110522 0.116513i
\(595\) 6.16773 34.9789i 0.252852 1.43400i
\(596\) 13.0222 7.51839i 0.533411 0.307965i
\(597\) −13.2870 + 5.14378i −0.543801 + 0.210521i
\(598\) 1.39359 + 1.16936i 0.0569882 + 0.0478188i
\(599\) −26.8814 22.5562i −1.09835 0.921621i −0.101033 0.994883i \(-0.532215\pi\)
−0.997313 + 0.0732620i \(0.976659\pi\)
\(600\) −0.194174 + 1.24893i −0.00792712 + 0.0509872i
\(601\) 9.86553 5.69586i 0.402423 0.232339i −0.285106 0.958496i \(-0.592029\pi\)
0.687529 + 0.726157i \(0.258695\pi\)
\(602\) −0.523723 + 2.97018i −0.0213453 + 0.121055i
\(603\) −6.70537 + 8.68376i −0.273064 + 0.353630i
\(604\) 16.0976 19.1843i 0.655001 0.780599i
\(605\) −17.4850 + 48.0395i −0.710865 + 1.95309i
\(606\) −0.0516976 2.54695i −0.00210007 0.103463i
\(607\) −15.8849 + 9.17116i −0.644749 + 0.372246i −0.786441 0.617665i \(-0.788079\pi\)
0.141693 + 0.989911i \(0.454745\pi\)
\(608\) 5.88098 + 3.72377i 0.238505 + 0.151019i
\(609\) −32.3134 + 12.5094i −1.30940 + 0.506907i
\(610\) −1.05794 1.26081i −0.0428348 0.0510485i
\(611\) −0.104066 0.590190i −0.00421008 0.0238765i
\(612\) 22.7917 + 11.9529i 0.921298 + 0.483166i
\(613\) −22.9981 + 19.2977i −0.928884 + 0.779426i −0.975617 0.219481i \(-0.929564\pi\)
0.0467327 + 0.998907i \(0.485119\pi\)
\(614\) −2.08036 + 2.47928i −0.0839567 + 0.100056i
\(615\) −9.34093 24.1288i −0.376663 0.972966i
\(616\) −8.45127 4.87934i −0.340511 0.196594i
\(617\) 7.03442 8.38330i 0.283195 0.337499i −0.605629 0.795747i \(-0.707078\pi\)
0.888824 + 0.458248i \(0.151523\pi\)
\(618\) −3.41091 + 0.673078i −0.137207 + 0.0270752i
\(619\) −47.4285 −1.90631 −0.953156 0.302480i \(-0.902185\pi\)
−0.953156 + 0.302480i \(0.902185\pi\)
\(620\) 16.6128 28.7742i 0.667185 1.15560i
\(621\) −16.4843 1.88151i −0.661493 0.0755025i
\(622\) 1.46559 + 1.74662i 0.0587648 + 0.0700331i
\(623\) 41.4030 15.0695i 1.65878 0.603745i
\(624\) 0.578553 + 28.5032i 0.0231607 + 1.14104i
\(625\) −5.20104 29.4965i −0.208042 1.17986i
\(626\) −0.756363 1.31006i −0.0302304 0.0523605i
\(627\) −32.8928 + 26.4667i −1.31361 + 1.05698i
\(628\) −16.6803 + 28.8912i −0.665617 + 1.15288i
\(629\) 19.1780 + 6.98023i 0.764678 + 0.278320i
\(630\) 2.02660 2.62455i 0.0807419 0.104564i
\(631\) −17.0532 14.3094i −0.678878 0.569646i 0.236800 0.971558i \(-0.423901\pi\)
−0.915678 + 0.401912i \(0.868346\pi\)
\(632\) 5.10707 0.900515i 0.203149 0.0358206i
\(633\) 3.76619 0.743187i 0.149693 0.0295390i
\(634\) −0.128666 −0.00510996
\(635\) 5.16244 8.94161i 0.204865 0.354837i
\(636\) −15.6391 + 13.6731i −0.620130 + 0.542172i
\(637\) −14.9370 2.63380i −0.591826 0.104355i
\(638\) 4.01100 2.31575i 0.158797 0.0916815i
\(639\) 12.9577 11.8012i 0.512600 0.466850i
\(640\) −10.4643 1.84514i −0.413639 0.0729358i
\(641\) 7.66945 + 43.4956i 0.302925 + 1.71797i 0.633115 + 0.774058i \(0.281776\pi\)
−0.330190 + 0.943915i \(0.607113\pi\)
\(642\) 0.0694341 + 0.351866i 0.00274034 + 0.0138870i
\(643\) 25.4969 21.3944i 1.00550 0.843714i 0.0177628 0.999842i \(-0.494346\pi\)
0.987737 + 0.156128i \(0.0499012\pi\)
\(644\) −20.2763 + 3.57526i −0.798997 + 0.140885i
\(645\) −29.7039 4.61815i −1.16959 0.181840i
\(646\) −1.35962 + 2.14727i −0.0534937 + 0.0844831i
\(647\) 22.4865i 0.884037i −0.897006 0.442019i \(-0.854263\pi\)
0.897006 0.442019i \(-0.145737\pi\)
\(648\) 2.74469 + 3.97104i 0.107821 + 0.155997i
\(649\) 26.3783 4.65121i 1.03544 0.182576i
\(650\) −0.265117 0.728403i −0.0103987 0.0285703i
\(651\) −32.0554 + 19.3850i −1.25635 + 0.759759i
\(652\) 15.2200 5.53962i 0.596061 0.216948i
\(653\) 43.4613i 1.70077i 0.526158 + 0.850387i \(0.323632\pi\)
−0.526158 + 0.850387i \(0.676368\pi\)
\(654\) −1.98065 0.307937i −0.0774495 0.0120413i
\(655\) −7.44790 + 42.2391i −0.291014 + 1.65042i
\(656\) 21.6596 7.88346i 0.845666 0.307797i
\(657\) −6.31126 28.8839i −0.246226 1.12687i
\(658\) −0.0537774 0.0310484i −0.00209646 0.00121039i
\(659\) −10.0769 8.45551i −0.392540 0.329380i 0.425062 0.905164i \(-0.360252\pi\)
−0.817602 + 0.575784i \(0.804697\pi\)
\(660\) 23.3499 42.4080i 0.908892 1.65073i
\(661\) −19.4264 3.42540i −0.755599 0.133233i −0.217438 0.976074i \(-0.569770\pi\)
−0.538162 + 0.842842i \(0.680881\pi\)
\(662\) 0.0614849 + 0.0732748i 0.00238968 + 0.00284791i
\(663\) −31.7048 + 0.643539i −1.23131 + 0.0249930i
\(664\) 2.12138 + 1.22478i 0.0823256 + 0.0475307i
\(665\) −26.4373 24.0911i −1.02519 0.934213i
\(666\) 1.28293 + 1.40866i 0.0497127 + 0.0545845i
\(667\) 6.71479 18.4487i 0.259998 0.714338i
\(668\) 2.38411 + 0.867744i 0.0922438 + 0.0335740i
\(669\) 30.1292 5.94542i 1.16486 0.229863i
\(670\) 1.16746 + 0.424921i 0.0451029 + 0.0164161i
\(671\) 9.26606 + 25.4583i 0.357712 + 0.982806i
\(672\) 7.00979 + 5.64351i 0.270409 + 0.217703i
\(673\) 33.8762i 1.30583i 0.757430 + 0.652916i \(0.226455\pi\)
−0.757430 + 0.652916i \(0.773545\pi\)
\(674\) 0.134400 + 0.369262i 0.00517690 + 0.0142234i
\(675\) 5.68199 + 4.20622i 0.218700 + 0.161897i
\(676\) −4.84595 8.39343i −0.186383 0.322824i
\(677\) 8.20002 + 14.2028i 0.315152 + 0.545860i 0.979470 0.201591i \(-0.0646111\pi\)
−0.664318 + 0.747450i \(0.731278\pi\)
\(678\) 1.37709 + 0.469796i 0.0528867 + 0.0180424i
\(679\) −3.83552 + 10.5380i −0.147194 + 0.404412i
\(680\) 1.01676 5.76634i 0.0389910 0.221129i
\(681\) 19.5199 35.4521i 0.748006 1.35853i
\(682\) 3.83574 3.21857i 0.146878 0.123245i
\(683\) 8.67073 0.331776 0.165888 0.986145i \(-0.446951\pi\)
0.165888 + 0.986145i \(0.446951\pi\)
\(684\) 22.4476 12.9518i 0.858306 0.495226i
\(685\) 1.05082 0.0401499
\(686\) 1.14620 0.961780i 0.0437623 0.0367209i
\(687\) 6.91699 + 11.4381i 0.263900 + 0.436389i
\(688\) 4.65025 26.3729i 0.177289 1.00546i
\(689\) 8.75458 24.0530i 0.333523 0.916347i
\(690\) 0.363731 + 1.84325i 0.0138470 + 0.0701714i
\(691\) −7.27516 12.6009i −0.276760 0.479363i 0.693818 0.720151i \(-0.255927\pi\)
−0.970578 + 0.240788i \(0.922594\pi\)
\(692\) −13.0319 22.5718i −0.495397 0.858053i
\(693\) −46.1235 + 29.1870i −1.75209 + 1.10872i
\(694\) −1.35425 3.72078i −0.0514067 0.141239i
\(695\) 4.78160i 0.181376i
\(696\) −5.32692 + 2.06220i −0.201916 + 0.0781674i
\(697\) 8.76896 + 24.0925i 0.332148 + 0.912570i
\(698\) −2.16145 0.786702i −0.0818120 0.0297771i
\(699\) −21.4490 24.5331i −0.811276 0.927928i
\(700\) 8.24379 + 3.00049i 0.311586 + 0.113408i
\(701\) 13.4491 36.9510i 0.507965 1.39562i −0.375368 0.926876i \(-0.622484\pi\)
0.883333 0.468746i \(-0.155294\pi\)
\(702\) −2.64918 1.32150i −0.0999868 0.0498767i
\(703\) 16.2702 12.5562i 0.613642 0.473567i
\(704\) 36.6496 + 21.1597i 1.38128 + 0.797485i
\(705\) 0.298521 0.542175i 0.0112430 0.0204195i
\(706\) 1.45635 + 1.73561i 0.0548103 + 0.0653204i
\(707\) −34.9858 6.16895i −1.31578 0.232007i
\(708\) −16.4388 + 0.333673i −0.617808 + 0.0125402i
\(709\) 24.0739 + 20.2004i 0.904114 + 0.758642i 0.970990 0.239120i \(-0.0768588\pi\)
−0.0668761 + 0.997761i \(0.521303\pi\)
\(710\) −1.71878 0.992336i −0.0645045 0.0372417i
\(711\) 8.80633 27.6366i 0.330263 1.03645i
\(712\) 6.82535 2.48423i 0.255791 0.0931003i
\(713\) 3.68574 20.9028i 0.138032 0.782818i
\(714\) −2.06056 + 2.55942i −0.0771146 + 0.0957839i
\(715\) 59.6518i 2.23085i
\(716\) 10.0268 3.64944i 0.374718 0.136386i
\(717\) 4.11841 + 2.26760i 0.153805 + 0.0846849i
\(718\) 0.747798 + 2.05456i 0.0279076 + 0.0766754i
\(719\) −27.1608 + 4.78918i −1.01293 + 0.178606i −0.655388 0.755292i \(-0.727495\pi\)
−0.357538 + 0.933898i \(0.616384\pi\)
\(720\) −17.9947 + 23.3040i −0.670622 + 0.868487i
\(721\) 48.4838i 1.80563i
\(722\) 1.09444 + 2.31352i 0.0407307 + 0.0861004i
\(723\) 21.1371 26.2543i 0.786097 0.976409i
\(724\) −15.4690 + 2.72760i −0.574900 + 0.101370i
\(725\) −6.40825 + 5.37716i −0.237996 + 0.199703i
\(726\) 3.56044 3.11285i 0.132140 0.115529i
\(727\) −7.10634 40.3020i −0.263559 1.49472i −0.773106 0.634277i \(-0.781298\pi\)
0.509547 0.860443i \(-0.329813\pi\)
\(728\) −7.26915 1.28175i −0.269413 0.0475047i
\(729\) 26.8001 3.27968i 0.992595 0.121470i
\(730\) −2.89943 + 1.67399i −0.107313 + 0.0619570i
\(731\) 29.3352 + 5.17259i 1.08500 + 0.191315i
\(732\) −3.21965 16.3160i −0.119002 0.603055i
\(733\) 10.5580 18.2871i 0.389970 0.675448i −0.602475 0.798138i \(-0.705819\pi\)
0.992445 + 0.122690i \(0.0391521\pi\)
\(734\) −1.72031 −0.0634979
\(735\) −10.3102 11.7927i −0.380299 0.434981i
\(736\) −5.02148 + 0.885423i −0.185094 + 0.0326371i
\(737\) −15.6660 13.1454i −0.577066 0.484216i
\(738\) −0.319644 + 2.37213i −0.0117663 + 0.0873194i
\(739\) −7.84938 2.85694i −0.288744 0.105094i 0.193587 0.981083i \(-0.437988\pi\)
−0.482331 + 0.875989i \(0.660210\pi\)
\(740\) −11.7832 + 20.4091i −0.433158 + 0.750252i
\(741\) −16.5323 + 27.3209i −0.607327 + 1.00366i
\(742\) −1.32612 2.29690i −0.0486833 0.0843220i
\(743\) 6.94687 + 39.3976i 0.254856 + 1.44536i 0.796443 + 0.604714i \(0.206713\pi\)
−0.541587 + 0.840645i \(0.682176\pi\)
\(744\) −5.28438 + 3.19565i −0.193735 + 0.117158i
\(745\) −17.9810 + 6.54456i −0.658774 + 0.239774i
\(746\) 0.775648 + 0.924382i 0.0283985 + 0.0338440i
\(747\) 11.5776 7.32633i 0.423603 0.268056i
\(748\) −23.9858 + 41.5446i −0.877008 + 1.51902i
\(749\) 5.00154 0.182752
\(750\) −0.691449 + 2.02681i −0.0252481 + 0.0740085i
\(751\) −12.8097 + 15.2660i −0.467432 + 0.557064i −0.947329 0.320261i \(-0.896229\pi\)
0.479897 + 0.877325i \(0.340674\pi\)
\(752\) 0.477502 + 0.275686i 0.0174127 + 0.0100532i
\(753\) −1.80217 + 2.23847i −0.0656747 + 0.0815744i
\(754\) 2.25180 2.68359i 0.0820058 0.0977307i
\(755\) −24.4130 + 20.4849i −0.888480 + 0.745523i
\(756\) 30.7294 13.3542i 1.11762 0.485687i
\(757\) −0.389864 2.21103i −0.0141699 0.0803612i 0.976903 0.213684i \(-0.0685464\pi\)
−0.991073 + 0.133323i \(0.957435\pi\)
\(758\) −1.17367 1.39872i −0.0426296 0.0508040i
\(759\) 4.75113 30.5592i 0.172455 1.10923i
\(760\) −4.35823 3.97146i −0.158090 0.144060i
\(761\) −17.3649 + 10.0256i −0.629477 + 0.363429i −0.780550 0.625094i \(-0.785061\pi\)
0.151072 + 0.988523i \(0.451727\pi\)
\(762\) −0.817323 + 0.494264i −0.0296085 + 0.0179053i
\(763\) −9.56042 + 26.2670i −0.346111 + 0.950931i
\(764\) 17.5700 20.9391i 0.635660 0.757550i
\(765\) −25.9216 20.0159i −0.937196 0.723677i
\(766\) −0.705881 + 4.00325i −0.0255045 + 0.144643i
\(767\) 17.5455 10.1299i 0.633533 0.365770i
\(768\) −19.6545 15.8237i −0.709222 0.570987i
\(769\) −10.8423 9.09779i −0.390984 0.328075i 0.426012 0.904717i \(-0.359918\pi\)
−0.816996 + 0.576643i \(0.804362\pi\)
\(770\) 4.73485 + 3.97301i 0.170632 + 0.143177i
\(771\)