Properties

Label 384.2.w.a.11.14
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.14
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.11401 - 0.871200i) q^{2} +(0.593110 + 1.62734i) q^{3} +(0.482021 + 1.94104i) q^{4} +(3.29266 + 1.75996i) q^{5} +(0.757006 - 2.32958i) q^{6} +(-0.370976 - 0.0737916i) q^{7} +(1.15406 - 2.58227i) q^{8} +(-2.29644 + 1.93038i) q^{9} +O(q^{10})\) \(q+(-1.11401 - 0.871200i) q^{2} +(0.593110 + 1.62734i) q^{3} +(0.482021 + 1.94104i) q^{4} +(3.29266 + 1.75996i) q^{5} +(0.757006 - 2.32958i) q^{6} +(-0.370976 - 0.0737916i) q^{7} +(1.15406 - 2.58227i) q^{8} +(-2.29644 + 1.93038i) q^{9} +(-2.13477 - 4.82918i) q^{10} +(4.94511 - 4.05835i) q^{11} +(-2.87284 + 1.93566i) q^{12} +(2.85266 - 1.52478i) q^{13} +(0.348982 + 0.405398i) q^{14} +(-0.911141 + 6.40212i) q^{15} +(-3.53531 + 1.87125i) q^{16} +(-1.84052 + 0.762368i) q^{17} +(4.24000 - 0.149794i) q^{18} +(-1.60334 + 5.28549i) q^{19} +(-1.82904 + 7.23954i) q^{20} +(-0.0999456 - 0.647468i) q^{21} +(-9.04452 + 0.212845i) q^{22} +(-6.74914 - 4.50963i) q^{23} +(4.88671 + 0.346476i) q^{24} +(4.96629 + 7.43258i) q^{25} +(-4.50627 - 0.786624i) q^{26} +(-4.50341 - 2.59215i) q^{27} +(-0.0355852 - 0.755649i) q^{28} +(1.52102 + 1.24827i) q^{29} +(6.59254 - 6.33821i) q^{30} +(-0.401834 + 0.401834i) q^{31} +(5.56859 + 0.995379i) q^{32} +(9.53729 + 5.64031i) q^{33} +(2.71452 + 0.754177i) q^{34} +(-1.09163 - 0.895874i) q^{35} +(-4.85388 - 3.52701i) q^{36} +(1.65300 + 5.44922i) q^{37} +(6.39085 - 4.49125i) q^{38} +(4.17327 + 3.73787i) q^{39} +(8.34465 - 6.47144i) q^{40} +(-0.603568 - 0.403291i) q^{41} +(-0.452734 + 0.808356i) q^{42} +(0.837673 - 8.50504i) q^{43} +(10.2611 + 7.64248i) q^{44} +(-10.9588 + 2.31443i) q^{45} +(3.58980 + 10.9036i) q^{46} +(-0.573649 + 0.237613i) q^{47} +(-5.14198 - 4.64328i) q^{48} +(-6.33498 - 2.62403i) q^{49} +(0.942783 - 12.6066i) q^{50} +(-2.33226 - 2.54297i) q^{51} +(4.33471 + 4.80217i) q^{52} +(3.48456 - 2.85970i) q^{53} +(2.75855 + 6.81105i) q^{54} +(23.4251 - 4.65955i) q^{55} +(-0.618680 + 0.872800i) q^{56} +(-9.55222 + 0.525712i) q^{57} +(-0.606935 - 2.71570i) q^{58} +(-11.0596 - 5.91148i) q^{59} +(-12.8660 + 1.31739i) q^{60} +(0.569410 + 5.78131i) q^{61} +(0.797724 - 0.0975680i) q^{62} +(0.994369 - 0.546665i) q^{63} +(-5.33627 - 5.96022i) q^{64} +12.0764 q^{65} +(-5.71077 - 14.5922i) q^{66} +(-8.13802 + 0.801525i) q^{67} +(-2.36696 - 3.20505i) q^{68} +(3.33570 - 13.6578i) q^{69} +(0.435593 + 1.94903i) q^{70} +(3.18553 + 0.633642i) q^{71} +(2.33452 + 8.15782i) q^{72} +(0.359342 + 1.80654i) q^{73} +(2.90590 - 7.51056i) q^{74} +(-9.14974 + 12.4902i) q^{75} +(-11.0322 - 0.564430i) q^{76} +(-2.13399 + 1.14064i) q^{77} +(-1.39261 - 7.79977i) q^{78} +(-1.60587 + 3.87692i) q^{79} +(-14.9339 - 0.0606308i) q^{80} +(1.54728 - 8.86600i) q^{81} +(0.321031 + 0.975097i) q^{82} +(0.559645 - 1.84490i) q^{83} +(1.20859 - 0.506092i) q^{84} +(-7.40194 - 0.729028i) q^{85} +(-8.34277 + 8.74489i) q^{86} +(-1.12922 + 3.21557i) q^{87} +(-4.77279 - 17.4532i) q^{88} +(-2.82703 - 4.23094i) q^{89} +(14.2245 + 6.96902i) q^{90} +(-1.17078 + 0.355153i) q^{91} +(5.50017 - 15.2741i) q^{92} +(-0.892252 - 0.415587i) q^{93} +(0.846058 + 0.235061i) q^{94} +(-14.5815 + 14.5815i) q^{95} +(1.68297 + 9.65234i) q^{96} +(1.32424 + 1.32424i) q^{97} +(4.77115 + 8.44223i) q^{98} +(-3.52201 + 18.8657i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11401 0.871200i −0.787722 0.616031i
\(3\) 0.593110 + 1.62734i 0.342432 + 0.939543i
\(4\) 0.482021 + 1.94104i 0.241011 + 0.970522i
\(5\) 3.29266 + 1.75996i 1.47252 + 0.787080i 0.995763 0.0919541i \(-0.0293113\pi\)
0.476759 + 0.879034i \(0.341811\pi\)
\(6\) 0.757006 2.32958i 0.309046 0.951047i
\(7\) −0.370976 0.0737916i −0.140216 0.0278906i 0.124483 0.992222i \(-0.460273\pi\)
−0.264699 + 0.964331i \(0.585273\pi\)
\(8\) 1.15406 2.58227i 0.408023 0.912972i
\(9\) −2.29644 + 1.93038i −0.765480 + 0.643459i
\(10\) −2.13477 4.82918i −0.675072 1.52712i
\(11\) 4.94511 4.05835i 1.49101 1.22364i 0.577777 0.816195i \(-0.303920\pi\)
0.913230 0.407443i \(-0.133580\pi\)
\(12\) −2.87284 + 1.93566i −0.829317 + 0.558778i
\(13\) 2.85266 1.52478i 0.791186 0.422898i −0.0257198 0.999669i \(-0.508188\pi\)
0.816905 + 0.576772i \(0.195688\pi\)
\(14\) 0.348982 + 0.405398i 0.0932693 + 0.108347i
\(15\) −0.911141 + 6.40212i −0.235256 + 1.65302i
\(16\) −3.53531 + 1.87125i −0.883828 + 0.467812i
\(17\) −1.84052 + 0.762368i −0.446391 + 0.184901i −0.594544 0.804063i \(-0.702667\pi\)
0.148153 + 0.988965i \(0.452667\pi\)
\(18\) 4.24000 0.149794i 0.999377 0.0353068i
\(19\) −1.60334 + 5.28549i −0.367831 + 1.21258i 0.556456 + 0.830877i \(0.312161\pi\)
−0.924287 + 0.381698i \(0.875339\pi\)
\(20\) −1.82904 + 7.23954i −0.408985 + 1.61881i
\(21\) −0.0999456 0.647468i −0.0218099 0.141289i
\(22\) −9.04452 + 0.212845i −1.92830 + 0.0453788i
\(23\) −6.74914 4.50963i −1.40729 0.940323i −0.999630 0.0271906i \(-0.991344\pi\)
−0.407663 0.913133i \(-0.633656\pi\)
\(24\) 4.88671 + 0.346476i 0.997496 + 0.0707242i
\(25\) 4.96629 + 7.43258i 0.993258 + 1.48652i
\(26\) −4.50627 0.786624i −0.883752 0.154270i
\(27\) −4.50341 2.59215i −0.866683 0.498860i
\(28\) −0.0355852 0.755649i −0.00672497 0.142804i
\(29\) 1.52102 + 1.24827i 0.282447 + 0.231798i 0.764940 0.644102i \(-0.222769\pi\)
−0.482493 + 0.875900i \(0.660269\pi\)
\(30\) 6.59254 6.33821i 1.20363 1.15719i
\(31\) −0.401834 + 0.401834i −0.0721716 + 0.0721716i −0.742271 0.670100i \(-0.766251\pi\)
0.670100 + 0.742271i \(0.266251\pi\)
\(32\) 5.56859 + 0.995379i 0.984397 + 0.175960i
\(33\) 9.53729 + 5.64031i 1.66023 + 0.981852i
\(34\) 2.71452 + 0.754177i 0.465537 + 0.129340i
\(35\) −1.09163 0.895874i −0.184518 0.151430i
\(36\) −4.85388 3.52701i −0.808981 0.587835i
\(37\) 1.65300 + 5.44922i 0.271752 + 0.895846i 0.981512 + 0.191402i \(0.0613034\pi\)
−0.709760 + 0.704444i \(0.751197\pi\)
\(38\) 6.39085 4.49125i 1.03673 0.728576i
\(39\) 4.17327 + 3.73787i 0.668258 + 0.598539i
\(40\) 8.34465 6.47144i 1.31940 1.02322i
\(41\) −0.603568 0.403291i −0.0942614 0.0629835i 0.507546 0.861625i \(-0.330553\pi\)
−0.601808 + 0.798641i \(0.705553\pi\)
\(42\) −0.452734 + 0.808356i −0.0698584 + 0.124732i
\(43\) 0.837673 8.50504i 0.127744 1.29701i −0.691003 0.722852i \(-0.742831\pi\)
0.818747 0.574155i \(-0.194669\pi\)
\(44\) 10.2611 + 7.64248i 1.54692 + 1.15215i
\(45\) −10.9588 + 2.31443i −1.63364 + 0.345014i
\(46\) 3.58980 + 10.9036i 0.529286 + 1.60765i
\(47\) −0.573649 + 0.237613i −0.0836754 + 0.0346595i −0.424129 0.905602i \(-0.639420\pi\)
0.340453 + 0.940261i \(0.389420\pi\)
\(48\) −5.14198 4.64328i −0.742181 0.670200i
\(49\) −6.33498 2.62403i −0.904997 0.374862i
\(50\) 0.942783 12.6066i 0.133330 1.78284i
\(51\) −2.33226 2.54297i −0.326581 0.356087i
\(52\) 4.33471 + 4.80217i 0.601116 + 0.665941i
\(53\) 3.48456 2.85970i 0.478641 0.392810i −0.363904 0.931436i \(-0.618556\pi\)
0.842545 + 0.538626i \(0.181056\pi\)
\(54\) 2.75855 + 6.81105i 0.375391 + 0.926867i
\(55\) 23.4251 4.65955i 3.15864 0.628293i
\(56\) −0.618680 + 0.872800i −0.0826745 + 0.116633i
\(57\) −9.55222 + 0.525712i −1.26522 + 0.0696323i
\(58\) −0.606935 2.71570i −0.0796945 0.356588i
\(59\) −11.0596 5.91148i −1.43984 0.769609i −0.447631 0.894218i \(-0.647732\pi\)
−0.992206 + 0.124610i \(0.960232\pi\)
\(60\) −12.8660 + 1.31739i −1.66099 + 0.170074i
\(61\) 0.569410 + 5.78131i 0.0729055 + 0.740221i 0.960255 + 0.279124i \(0.0900441\pi\)
−0.887350 + 0.461097i \(0.847456\pi\)
\(62\) 0.797724 0.0975680i 0.101311 0.0123912i
\(63\) 0.994369 0.546665i 0.125279 0.0688733i
\(64\) −5.33627 5.96022i −0.667034 0.745027i
\(65\) 12.0764 1.49789
\(66\) −5.71077 14.5922i −0.702947 1.79618i
\(67\) −8.13802 + 0.801525i −0.994217 + 0.0979219i −0.582021 0.813173i \(-0.697738\pi\)
−0.412196 + 0.911095i \(0.635238\pi\)
\(68\) −2.36696 3.20505i −0.287036 0.388670i
\(69\) 3.33570 13.6578i 0.401571 1.64421i
\(70\) 0.435593 + 1.94903i 0.0520633 + 0.232954i
\(71\) 3.18553 + 0.633642i 0.378053 + 0.0751994i 0.380459 0.924798i \(-0.375766\pi\)
−0.00240621 + 0.999997i \(0.500766\pi\)
\(72\) 2.33452 + 8.15782i 0.275126 + 0.961408i
\(73\) 0.359342 + 1.80654i 0.0420579 + 0.211439i 0.996100 0.0882341i \(-0.0281224\pi\)
−0.954042 + 0.299673i \(0.903122\pi\)
\(74\) 2.90590 7.51056i 0.337804 0.873085i
\(75\) −9.14974 + 12.4902i −1.05652 + 1.44224i
\(76\) −11.0322 0.564430i −1.26548 0.0647445i
\(77\) −2.13399 + 1.14064i −0.243190 + 0.129988i
\(78\) −1.39261 7.79977i −0.157682 0.883150i
\(79\) −1.60587 + 3.87692i −0.180675 + 0.436188i −0.988106 0.153774i \(-0.950857\pi\)
0.807431 + 0.589962i \(0.200857\pi\)
\(80\) −14.9339 0.0606308i −1.66966 0.00677873i
\(81\) 1.54728 8.86600i 0.171920 0.985111i
\(82\) 0.321031 + 0.975097i 0.0354520 + 0.107681i
\(83\) 0.559645 1.84490i 0.0614290 0.202504i −0.920854 0.389907i \(-0.872507\pi\)
0.982283 + 0.187403i \(0.0600070\pi\)
\(84\) 1.20859 0.506092i 0.131868 0.0552192i
\(85\) −7.40194 0.729028i −0.802853 0.0790742i
\(86\) −8.34277 + 8.74489i −0.899624 + 0.942986i
\(87\) −1.12922 + 3.21557i −0.121065 + 0.344746i
\(88\) −4.77279 17.4532i −0.508781 1.86052i
\(89\) −2.82703 4.23094i −0.299664 0.448479i 0.650829 0.759224i \(-0.274421\pi\)
−0.950493 + 0.310745i \(0.899421\pi\)
\(90\) 14.2245 + 6.96902i 1.49939 + 0.734599i
\(91\) −1.17078 + 0.355153i −0.122731 + 0.0372302i
\(92\) 5.50017 15.2741i 0.573432 1.59244i
\(93\) −0.892252 0.415587i −0.0925222 0.0430944i
\(94\) 0.846058 + 0.235061i 0.0872642 + 0.0242446i
\(95\) −14.5815 + 14.5815i −1.49603 + 1.49603i
\(96\) 1.68297 + 9.65234i 0.171768 + 0.985137i
\(97\) 1.32424 + 1.32424i 0.134456 + 0.134456i 0.771132 0.636676i \(-0.219691\pi\)
−0.636676 + 0.771132i \(0.719691\pi\)
\(98\) 4.77115 + 8.44223i 0.481959 + 0.852794i
\(99\) −3.52201 + 18.8657i −0.353976 + 1.89607i
\(100\) −12.0331 + 13.2225i −1.20331 + 1.32225i
\(101\) 3.70579 + 12.2164i 0.368740 + 1.21557i 0.923511 + 0.383571i \(0.125306\pi\)
−0.554771 + 0.832003i \(0.687194\pi\)
\(102\) 0.382713 + 4.86475i 0.0378942 + 0.481682i
\(103\) 7.28193 4.86563i 0.717510 0.479425i −0.142440 0.989803i \(-0.545495\pi\)
0.859950 + 0.510379i \(0.170495\pi\)
\(104\) −0.645244 9.12604i −0.0632714 0.894882i
\(105\) 0.810434 2.30779i 0.0790902 0.225218i
\(106\) −6.37319 + 0.149981i −0.619019 + 0.0145674i
\(107\) 0.408868 4.15130i 0.0395267 0.401322i −0.954982 0.296665i \(-0.904126\pi\)
0.994508 0.104657i \(-0.0333744\pi\)
\(108\) 2.86075 9.99080i 0.275275 0.961365i
\(109\) 7.59150 + 2.30286i 0.727133 + 0.220574i 0.632085 0.774899i \(-0.282199\pi\)
0.0950485 + 0.995473i \(0.469699\pi\)
\(110\) −30.1551 15.2172i −2.87518 1.45090i
\(111\) −7.88729 + 5.92197i −0.748629 + 0.562089i
\(112\) 1.44960 0.433311i 0.136974 0.0409441i
\(113\) −4.95451 2.05223i −0.466081 0.193057i 0.137269 0.990534i \(-0.456168\pi\)
−0.603350 + 0.797477i \(0.706168\pi\)
\(114\) 11.0992 + 7.73625i 1.03954 + 0.724566i
\(115\) −14.2858 26.7269i −1.33216 2.49230i
\(116\) −1.68978 + 3.55406i −0.156893 + 0.329987i
\(117\) −3.60757 + 9.00828i −0.333520 + 0.832816i
\(118\) 7.17038 + 16.2205i 0.660087 + 1.49322i
\(119\) 0.739044 0.147005i 0.0677480 0.0134759i
\(120\) 15.4805 + 9.74127i 1.41317 + 0.889252i
\(121\) 5.83795 29.3493i 0.530722 2.66812i
\(122\) 4.40235 6.93649i 0.398570 0.628000i
\(123\) 0.298308 1.22140i 0.0268975 0.110130i
\(124\) −0.973672 0.586286i −0.0874383 0.0526500i
\(125\) 1.44150 + 14.6358i 0.128932 + 1.30907i
\(126\) −1.58399 0.257306i −0.141113 0.0229227i
\(127\) 9.06243i 0.804160i −0.915604 0.402080i \(-0.868287\pi\)
0.915604 0.402080i \(-0.131713\pi\)
\(128\) 0.752103 + 11.2887i 0.0664772 + 0.997788i
\(129\) 14.3374 3.68125i 1.26234 0.324116i
\(130\) −13.4532 10.5210i −1.17992 0.922749i
\(131\) 6.84484 0.674158i 0.598037 0.0589015i 0.205530 0.978651i \(-0.434108\pi\)
0.392506 + 0.919749i \(0.371608\pi\)
\(132\) −6.35092 + 21.2311i −0.552776 + 1.84793i
\(133\) 0.984824 1.84248i 0.0853950 0.159763i
\(134\) 9.76409 + 6.19694i 0.843489 + 0.535334i
\(135\) −10.2661 16.4609i −0.883567 1.41673i
\(136\) −0.155434 + 5.63254i −0.0133283 + 0.482987i
\(137\) −3.07373 15.4527i −0.262606 1.32021i −0.856700 0.515815i \(-0.827489\pi\)
0.594094 0.804396i \(-0.297511\pi\)
\(138\) −15.6147 + 12.3088i −1.32921 + 1.04780i
\(139\) 4.10996 + 5.00800i 0.348602 + 0.424773i 0.917562 0.397592i \(-0.130154\pi\)
−0.568960 + 0.822365i \(0.692654\pi\)
\(140\) 1.21275 2.55073i 0.102496 0.215576i
\(141\) −0.726914 0.792589i −0.0612172 0.0667480i
\(142\) −2.99667 3.48112i −0.251475 0.292129i
\(143\) 7.91864 19.1173i 0.662190 1.59867i
\(144\) 4.50642 11.1217i 0.375535 0.926808i
\(145\) 2.81130 + 6.78707i 0.233466 + 0.563636i
\(146\) 1.17354 2.32555i 0.0971233 0.192464i
\(147\) 0.512844 11.8655i 0.0422987 0.978648i
\(148\) −9.78039 + 5.83519i −0.803943 + 0.479650i
\(149\) 7.37196 + 0.726075i 0.603935 + 0.0594824i 0.395363 0.918525i \(-0.370619\pi\)
0.208571 + 0.978007i \(0.433119\pi\)
\(150\) 21.0743 5.94286i 1.72071 0.485233i
\(151\) 5.30930 7.94593i 0.432065 0.646631i −0.550002 0.835163i \(-0.685373\pi\)
0.982067 + 0.188532i \(0.0603731\pi\)
\(152\) 11.7982 + 10.2400i 0.956963 + 0.830578i
\(153\) 2.75498 5.30363i 0.222727 0.428773i
\(154\) 3.37100 + 0.588449i 0.271643 + 0.0474186i
\(155\) −2.03032 + 0.615890i −0.163079 + 0.0494695i
\(156\) −5.24378 + 9.90224i −0.419838 + 0.792813i
\(157\) 8.04459 9.80236i 0.642028 0.782313i −0.345726 0.938336i \(-0.612367\pi\)
0.987754 + 0.156022i \(0.0498672\pi\)
\(158\) 5.16653 2.91988i 0.411027 0.232293i
\(159\) 6.72042 + 3.97443i 0.532964 + 0.315193i
\(160\) 16.5837 + 13.0780i 1.31105 + 1.03390i
\(161\) 2.17099 + 2.17099i 0.171098 + 0.171098i
\(162\) −9.44774 + 8.52879i −0.742285 + 0.670085i
\(163\) −12.1228 + 14.7716i −0.949528 + 1.15700i 0.0379556 + 0.999279i \(0.487915\pi\)
−0.987483 + 0.157723i \(0.949585\pi\)
\(164\) 0.491874 1.36595i 0.0384089 0.106663i
\(165\) 21.4763 + 35.3569i 1.67193 + 2.75253i
\(166\) −2.23073 + 1.56767i −0.173138 + 0.121675i
\(167\) −5.13804 + 3.43313i −0.397594 + 0.265664i −0.738254 0.674523i \(-0.764349\pi\)
0.340660 + 0.940186i \(0.389349\pi\)
\(168\) −1.78728 0.489133i −0.137892 0.0377374i
\(169\) −1.40969 + 2.10975i −0.108438 + 0.162289i
\(170\) 7.61068 + 7.26071i 0.583713 + 0.556871i
\(171\) −6.52103 15.2329i −0.498676 1.16489i
\(172\) 16.9124 2.47365i 1.28956 0.188614i
\(173\) −10.1088 3.06648i −0.768561 0.233140i −0.118430 0.992962i \(-0.537786\pi\)
−0.650131 + 0.759822i \(0.725286\pi\)
\(174\) 4.05937 2.59839i 0.307740 0.196984i
\(175\) −1.29391 3.12378i −0.0978104 0.236135i
\(176\) −9.88833 + 23.6011i −0.745361 + 1.77900i
\(177\) 3.06040 21.5038i 0.230034 1.61633i
\(178\) −0.536672 + 7.17620i −0.0402253 + 0.537879i
\(179\) −3.59021 6.71681i −0.268345 0.502038i 0.711271 0.702918i \(-0.248120\pi\)
−0.979616 + 0.200880i \(0.935620\pi\)
\(180\) −9.77478 20.1559i −0.728569 1.50233i
\(181\) −8.92200 10.8715i −0.663167 0.808072i 0.327431 0.944875i \(-0.393817\pi\)
−0.990598 + 0.136803i \(0.956317\pi\)
\(182\) 1.61367 + 0.624343i 0.119613 + 0.0462794i
\(183\) −9.07042 + 4.35558i −0.670504 + 0.321973i
\(184\) −19.4340 + 12.2237i −1.43270 + 0.901145i
\(185\) −4.14765 + 20.8516i −0.304941 + 1.53304i
\(186\) 0.631914 + 1.24030i 0.0463342 + 0.0909430i
\(187\) −6.00762 + 11.2395i −0.439320 + 0.821911i
\(188\) −0.737729 0.998945i −0.0538044 0.0728555i
\(189\) 1.47938 + 1.29394i 0.107609 + 0.0941203i
\(190\) 28.9473 3.54049i 2.10006 0.256854i
\(191\) 18.1414i 1.31266i 0.754472 + 0.656332i \(0.227893\pi\)
−0.754472 + 0.656332i \(0.772107\pi\)
\(192\) 6.53427 12.2190i 0.471571 0.881828i
\(193\) 25.4737i 1.83364i −0.399303 0.916819i \(-0.630748\pi\)
0.399303 0.916819i \(-0.369252\pi\)
\(194\) −0.321533 2.62888i −0.0230847 0.188743i
\(195\) 7.16263 + 19.6524i 0.512927 + 1.40733i
\(196\) 2.03977 13.5613i 0.145698 0.968666i
\(197\) 0.407579 0.762527i 0.0290388 0.0543278i −0.866983 0.498337i \(-0.833944\pi\)
0.896022 + 0.444009i \(0.146444\pi\)
\(198\) 20.3593 17.9481i 1.44688 1.27552i
\(199\) −3.71041 + 18.6535i −0.263024 + 1.32231i 0.592929 + 0.805255i \(0.297971\pi\)
−0.855953 + 0.517054i \(0.827029\pi\)
\(200\) 24.9244 4.24665i 1.76242 0.300284i
\(201\) −6.13109 12.7679i −0.432454 0.900578i
\(202\) 6.51462 16.8376i 0.458367 1.18469i
\(203\) −0.472150 0.575316i −0.0331384 0.0403793i
\(204\) 3.81183 5.75278i 0.266881 0.402775i
\(205\) −1.27757 2.39016i −0.0892291 0.166936i
\(206\) −12.3510 0.923673i −0.860538 0.0643554i
\(207\) 24.2043 2.67229i 1.68231 0.185737i
\(208\) −7.23180 + 10.7286i −0.501435 + 0.743895i
\(209\) 13.5217 + 32.6443i 0.935315 + 2.25805i
\(210\) −2.91338 + 1.86485i −0.201042 + 0.128687i
\(211\) 6.11747 + 1.85571i 0.421144 + 0.127753i 0.493742 0.869609i \(-0.335629\pi\)
−0.0725975 + 0.997361i \(0.523129\pi\)
\(212\) 7.23044 + 5.38525i 0.496589 + 0.369860i
\(213\) 0.858223 + 5.55975i 0.0588045 + 0.380948i
\(214\) −4.07210 + 4.26837i −0.278363 + 0.291780i
\(215\) 17.7267 26.5299i 1.20895 1.80933i
\(216\) −11.8909 + 8.63754i −0.809072 + 0.587710i
\(217\) 0.178723 0.119419i 0.0121325 0.00810667i
\(218\) −6.45073 9.17911i −0.436898 0.621688i
\(219\) −2.72671 + 1.65625i −0.184254 + 0.111919i
\(220\) 20.3358 + 43.2232i 1.37104 + 2.91411i
\(221\) −4.08793 + 4.98116i −0.274984 + 0.335069i
\(222\) 13.9457 + 0.274291i 0.935975 + 0.0184092i
\(223\) 17.3432 + 17.3432i 1.16139 + 1.16139i 0.984172 + 0.177215i \(0.0567090\pi\)
0.177215 + 0.984172i \(0.443291\pi\)
\(224\) −1.99236 0.780177i −0.133120 0.0521278i
\(225\) −25.7525 7.48166i −1.71683 0.498777i
\(226\) 3.73146 + 6.60256i 0.248213 + 0.439196i
\(227\) 10.5660 12.8748i 0.701293 0.854528i −0.293551 0.955943i \(-0.594837\pi\)
0.994844 + 0.101415i \(0.0323371\pi\)
\(228\) −5.62480 18.2879i −0.372512 1.21115i
\(229\) 16.3028 4.94540i 1.07732 0.326801i 0.298731 0.954337i \(-0.403437\pi\)
0.778587 + 0.627536i \(0.215937\pi\)
\(230\) −7.36998 + 42.2198i −0.485962 + 2.78389i
\(231\) −3.12189 2.79619i −0.205406 0.183976i
\(232\) 4.97873 2.48711i 0.326870 0.163287i
\(233\) 8.54749 12.7922i 0.559965 0.838046i −0.438183 0.898886i \(-0.644378\pi\)
0.998148 + 0.0608396i \(0.0193778\pi\)
\(234\) 11.8669 6.89237i 0.775761 0.450568i
\(235\) −2.30702 0.227222i −0.150494 0.0148223i
\(236\) 6.14348 24.3166i 0.399907 1.58288i
\(237\) −7.26151 0.313854i −0.471686 0.0203870i
\(238\) −0.951370 0.480090i −0.0616682 0.0311196i
\(239\) 2.65446 + 6.40843i 0.171703 + 0.414527i 0.986182 0.165666i \(-0.0529773\pi\)
−0.814479 + 0.580192i \(0.802977\pi\)
\(240\) −8.75879 24.3384i −0.565377 1.57104i
\(241\) −8.17003 + 19.7242i −0.526278 + 1.27055i 0.407668 + 0.913130i \(0.366342\pi\)
−0.933945 + 0.357416i \(0.883658\pi\)
\(242\) −32.0727 + 27.6093i −2.06171 + 1.77480i
\(243\) 15.3457 2.74056i 0.984425 0.175807i
\(244\) −10.9473 + 3.89197i −0.700831 + 0.249158i
\(245\) −16.2407 19.7894i −1.03758 1.26430i
\(246\) −1.39640 + 1.10077i −0.0890314 + 0.0701822i
\(247\) 3.48543 + 17.5224i 0.221773 + 1.11493i
\(248\) 0.573904 + 1.50139i 0.0364429 + 0.0953383i
\(249\) 3.33421 0.183500i 0.211297 0.0116288i
\(250\) 11.1449 17.5602i 0.704863 1.11061i
\(251\) −5.35379 + 10.0162i −0.337928 + 0.632219i −0.992287 0.123966i \(-0.960439\pi\)
0.654359 + 0.756184i \(0.272939\pi\)
\(252\) 1.54041 + 1.66661i 0.0970366 + 0.104987i
\(253\) −51.6769 + 5.08973i −3.24890 + 0.319989i
\(254\) −7.89519 + 10.0956i −0.495388 + 0.633454i
\(255\) −3.20379 12.4778i −0.200629 0.781392i
\(256\) 8.99685 13.2309i 0.562303 0.826931i
\(257\) 5.32725i 0.332304i 0.986100 + 0.166152i \(0.0531343\pi\)
−0.986100 + 0.166152i \(0.946866\pi\)
\(258\) −19.1790 8.38980i −1.19404 0.522326i
\(259\) −0.211117 2.14350i −0.0131182 0.133191i
\(260\) 5.82108 + 23.4408i 0.361008 + 1.45374i
\(261\) −5.90257 + 0.0695677i −0.365360 + 0.00430613i
\(262\) −8.21253 5.21221i −0.507372 0.322011i
\(263\) 3.51934 17.6929i 0.217012 1.09099i −0.706585 0.707628i \(-0.749765\pi\)
0.923597 0.383365i \(-0.125235\pi\)
\(264\) 25.5715 18.1186i 1.57381 1.11512i
\(265\) 16.5064 3.28334i 1.01398 0.201694i
\(266\) −2.70226 + 1.19455i −0.165686 + 0.0732426i
\(267\) 5.20843 7.10993i 0.318750 0.435121i
\(268\) −5.47849 15.4099i −0.334652 0.941310i
\(269\) −1.87998 3.51719i −0.114624 0.214447i 0.818067 0.575123i \(-0.195046\pi\)
−0.932691 + 0.360676i \(0.882546\pi\)
\(270\) −2.90424 + 27.2814i −0.176746 + 1.66029i
\(271\) 9.87650 + 4.09098i 0.599955 + 0.248509i 0.661927 0.749568i \(-0.269739\pi\)
−0.0619720 + 0.998078i \(0.519739\pi\)
\(272\) 5.08023 6.13928i 0.308034 0.372248i
\(273\) −1.27236 1.69461i −0.0770065 0.102563i
\(274\) −10.0382 + 19.8922i −0.606431 + 1.20173i
\(275\) 54.7229 + 16.6000i 3.29991 + 1.00102i
\(276\) 28.1183 0.108615i 1.69252 0.00653786i
\(277\) 0.456353 4.63343i 0.0274196 0.278396i −0.971692 0.236252i \(-0.924081\pi\)
0.999112 0.0421444i \(-0.0134189\pi\)
\(278\) −0.215552 9.15953i −0.0129279 0.549352i
\(279\) 0.147097 1.69848i 0.00880645 0.101685i
\(280\) −3.57320 + 1.78498i −0.213539 + 0.106673i
\(281\) 4.52503 3.02353i 0.269941 0.180369i −0.413231 0.910626i \(-0.635600\pi\)
0.683172 + 0.730257i \(0.260600\pi\)
\(282\) 0.119283 + 1.51624i 0.00710321 + 0.0902906i
\(283\) 0.135332 + 0.446128i 0.00804462 + 0.0265196i 0.960871 0.276997i \(-0.0893392\pi\)
−0.952826 + 0.303517i \(0.901839\pi\)
\(284\) 0.305567 + 6.48869i 0.0181320 + 0.385033i
\(285\) −32.3775 15.0806i −1.91788 0.893296i
\(286\) −25.4764 + 14.3981i −1.50645 + 0.851376i
\(287\) 0.194149 + 0.194149i 0.0114603 + 0.0114603i
\(288\) −14.7094 + 8.46366i −0.866760 + 0.498726i
\(289\) −9.21451 + 9.21451i −0.542030 + 0.542030i
\(290\) 2.78109 10.0100i 0.163311 0.587810i
\(291\) −1.36956 + 2.94039i −0.0802849 + 0.172369i
\(292\) −3.33336 + 1.56829i −0.195070 + 0.0917772i
\(293\) −15.0357 + 4.56102i −0.878393 + 0.266458i −0.697102 0.716972i \(-0.745528\pi\)
−0.181291 + 0.983429i \(0.558028\pi\)
\(294\) −10.9085 + 12.7714i −0.636198 + 0.744845i
\(295\) −26.0115 38.9290i −1.51445 2.26653i
\(296\) 15.9790 + 2.02024i 0.928763 + 0.117424i
\(297\) −32.7898 + 5.45794i −1.90265 + 0.316702i
\(298\) −7.57986 7.23131i −0.439089 0.418898i
\(299\) −26.1292 2.57350i −1.51109 0.148829i
\(300\) −28.6543 11.7395i −1.65436 0.677783i
\(301\) −0.938357 + 3.09335i −0.0540860 + 0.178298i
\(302\) −12.8371 + 4.22636i −0.738692 + 0.243200i
\(303\) −17.6822 + 13.2762i −1.01581 + 0.762699i
\(304\) −4.22218 21.6861i −0.242159 1.24378i
\(305\) −8.30003 + 20.0380i −0.475258 + 1.14738i
\(306\) −7.68959 + 3.50813i −0.439585 + 0.200547i
\(307\) −1.05758 + 0.565288i −0.0603592 + 0.0322627i −0.501300 0.865273i \(-0.667145\pi\)
0.440941 + 0.897536i \(0.354645\pi\)
\(308\) −3.24266 3.59235i −0.184768 0.204693i
\(309\) 12.2370 + 8.96428i 0.696138 + 0.509960i
\(310\) 2.79835 + 1.08271i 0.158936 + 0.0614937i
\(311\) 1.11300 + 5.59540i 0.0631122 + 0.317286i 0.999426 0.0338782i \(-0.0107858\pi\)
−0.936314 + 0.351164i \(0.885786\pi\)
\(312\) 14.4684 6.46278i 0.819114 0.365883i
\(313\) 2.82099 + 0.561131i 0.159452 + 0.0317170i 0.274171 0.961681i \(-0.411597\pi\)
−0.114719 + 0.993398i \(0.536597\pi\)
\(314\) −17.5015 + 3.91145i −0.987669 + 0.220736i
\(315\) 4.23623 0.0499282i 0.238685 0.00281313i
\(316\) −8.29934 1.24831i −0.466874 0.0702231i
\(317\) −18.2306 + 1.79556i −1.02393 + 0.100849i −0.596019 0.802970i \(-0.703252\pi\)
−0.427915 + 0.903819i \(0.640752\pi\)
\(318\) −4.02407 10.2824i −0.225659 0.576607i
\(319\) 12.5875 0.704767
\(320\) −7.08077 29.0166i −0.395827 1.62208i
\(321\) 6.99807 1.79681i 0.390594 0.100288i
\(322\) −0.527131 4.30987i −0.0293759 0.240180i
\(323\) −1.07852 10.9504i −0.0600104 0.609295i
\(324\) 17.9551 1.27025i 0.997507 0.0705696i
\(325\) 25.5002 + 13.6301i 1.41450 + 0.756064i
\(326\) 26.3739 5.89434i 1.46071 0.326457i
\(327\) 0.755075 + 13.7198i 0.0417557 + 0.758704i
\(328\) −1.73796 + 1.09315i −0.0959630 + 0.0603593i
\(329\) 0.230344 0.0458182i 0.0126993 0.00252604i
\(330\) 6.87818 58.0980i 0.378631 3.19819i
\(331\) −1.20440 + 0.988424i −0.0661997 + 0.0543287i −0.666911 0.745137i \(-0.732384\pi\)
0.600712 + 0.799466i \(0.294884\pi\)
\(332\) 3.85080 + 0.197014i 0.211340 + 0.0108126i
\(333\) −14.3151 9.32289i −0.784461 0.510891i
\(334\) 8.71476 + 0.651733i 0.476850 + 0.0356612i
\(335\) −28.2064 11.6835i −1.54108 0.638336i
\(336\) 1.56491 + 2.10198i 0.0853730 + 0.114672i
\(337\) −20.6034 + 8.53423i −1.12234 + 0.464889i −0.865171 0.501477i \(-0.832790\pi\)
−0.257170 + 0.966366i \(0.582790\pi\)
\(338\) 3.40842 1.12215i 0.185394 0.0610372i
\(339\) 0.401089 9.27984i 0.0217842 0.504012i
\(340\) −2.15282 14.7189i −0.116753 0.798245i
\(341\) −0.356332 + 3.61790i −0.0192965 + 0.195920i
\(342\) −6.00640 + 22.6506i −0.324789 + 1.22481i
\(343\) 4.35798 + 2.91191i 0.235309 + 0.157228i
\(344\) −20.9956 11.9785i −1.13201 0.645835i
\(345\) 35.0206 39.0999i 1.88545 2.10507i
\(346\) 8.58979 + 12.2229i 0.461790 + 0.657107i
\(347\) −2.24813 7.41108i −0.120686 0.397848i 0.875694 0.482867i \(-0.160405\pi\)
−0.996379 + 0.0850198i \(0.972905\pi\)
\(348\) −6.78588 0.641894i −0.363761 0.0344092i
\(349\) 20.9295 + 17.1764i 1.12033 + 0.919432i 0.997334 0.0729750i \(-0.0232493\pi\)
0.122997 + 0.992407i \(0.460749\pi\)
\(350\) −1.28001 + 4.60716i −0.0684193 + 0.246263i
\(351\) −16.7992 0.527822i −0.896674 0.0281731i
\(352\) 31.5769 17.6770i 1.68305 0.942189i
\(353\) −8.95685 + 8.95685i −0.476725 + 0.476725i −0.904083 0.427357i \(-0.859445\pi\)
0.427357 + 0.904083i \(0.359445\pi\)
\(354\) −22.1434 + 21.2892i −1.17691 + 1.13151i
\(355\) 9.37369 + 7.69279i 0.497504 + 0.408291i
\(356\) 6.84976 7.52679i 0.363037 0.398919i
\(357\) 0.677560 + 1.11548i 0.0358603 + 0.0590376i
\(358\) −1.85217 + 10.6104i −0.0978901 + 0.560775i
\(359\) 7.88616 + 11.8025i 0.416215 + 0.622910i 0.979041 0.203666i \(-0.0652855\pi\)
−0.562825 + 0.826576i \(0.690286\pi\)
\(360\) −6.67067 + 30.9696i −0.351575 + 1.63224i
\(361\) −9.56782 6.39301i −0.503569 0.336474i
\(362\) 0.467926 + 19.8838i 0.0245936 + 1.04507i
\(363\) 51.2238 7.90709i 2.68855 0.415015i
\(364\) −1.25371 2.10135i −0.0657123 0.110141i
\(365\) −1.99625 + 6.58074i −0.104488 + 0.344452i
\(366\) 13.8991 + 3.05001i 0.726517 + 0.159426i
\(367\) −5.75704 + 2.38464i −0.300515 + 0.124477i −0.527846 0.849340i \(-0.677000\pi\)
0.227331 + 0.973818i \(0.427000\pi\)
\(368\) 32.2990 + 3.31363i 1.68370 + 0.172735i
\(369\) 2.16456 0.238980i 0.112683 0.0124408i
\(370\) 22.7865 19.6154i 1.18461 1.01976i
\(371\) −1.50371 + 0.803749i −0.0780686 + 0.0417285i
\(372\) 0.376590 1.93222i 0.0195253 0.100181i
\(373\) −12.6847 + 10.4101i −0.656790 + 0.539014i −0.902695 0.430280i \(-0.858415\pi\)
0.245905 + 0.969294i \(0.420915\pi\)
\(374\) 16.4843 7.28700i 0.852385 0.376802i
\(375\) −22.9624 + 11.0264i −1.18577 + 0.569403i
\(376\) −0.0484453 + 1.75554i −0.00249837 + 0.0905351i
\(377\) 6.24229 + 1.24167i 0.321494 + 0.0639492i
\(378\) −0.520756 2.73029i −0.0267848 0.140431i
\(379\) 8.24065 + 4.40472i 0.423294 + 0.226255i 0.669268 0.743021i \(-0.266608\pi\)
−0.245974 + 0.969276i \(0.579108\pi\)
\(380\) −35.3320 21.2748i −1.81249 1.09137i
\(381\) 14.7476 5.37502i 0.755543 0.275370i
\(382\) 15.8048 20.2096i 0.808642 1.03401i
\(383\) 18.2511 0.932587 0.466293 0.884630i \(-0.345589\pi\)
0.466293 + 0.884630i \(0.345589\pi\)
\(384\) −17.9244 + 7.91935i −0.914700 + 0.404133i
\(385\) −9.03398 −0.460414
\(386\) −22.1927 + 28.3779i −1.12958 + 1.44440i
\(387\) 14.4943 + 21.1484i 0.736785 + 1.07503i
\(388\) −1.93209 + 3.20871i −0.0980871 + 0.162898i
\(389\) −19.9558 10.6666i −1.01180 0.540819i −0.119774 0.992801i \(-0.538217\pi\)
−0.892027 + 0.451982i \(0.850717\pi\)
\(390\) 9.14191 28.1329i 0.462919 1.42457i
\(391\) 15.8599 + 3.15473i 0.802070 + 0.159542i
\(392\) −14.0869 + 13.3303i −0.711498 + 0.673284i
\(393\) 5.15683 + 10.7390i 0.260128 + 0.541711i
\(394\) −1.11836 + 0.494377i −0.0563422 + 0.0249064i
\(395\) −12.1108 + 9.93910i −0.609362 + 0.500091i
\(396\) −38.3168 + 2.25728i −1.92549 + 0.113433i
\(397\) 14.2443 7.61373i 0.714900 0.382122i −0.0734915 0.997296i \(-0.523414\pi\)
0.788392 + 0.615174i \(0.210914\pi\)
\(398\) 20.3843 17.5476i 1.02177 0.879581i
\(399\) 3.58243 + 0.509848i 0.179346 + 0.0255243i
\(400\) −31.4656 16.9833i −1.57328 0.849166i
\(401\) −13.4408 + 5.56737i −0.671203 + 0.278021i −0.692144 0.721759i \(-0.743334\pi\)
0.0209411 + 0.999781i \(0.493334\pi\)
\(402\) −4.29331 + 19.5649i −0.214131 + 0.975810i
\(403\) −0.533589 + 1.75901i −0.0265799 + 0.0876223i
\(404\) −21.9262 + 13.0817i −1.09087 + 0.650837i
\(405\) 20.6985 26.4696i 1.02852 1.31528i
\(406\) 0.0247625 + 1.05224i 0.00122894 + 0.0522219i
\(407\) 30.2891 + 20.2385i 1.50138 + 1.00319i
\(408\) −9.25823 + 3.08778i −0.458350 + 0.152868i
\(409\) 13.9856 + 20.9309i 0.691542 + 1.03497i 0.996581 + 0.0826260i \(0.0263307\pi\)
−0.305038 + 0.952340i \(0.598669\pi\)
\(410\) −0.659089 + 3.77567i −0.0325501 + 0.186467i
\(411\) 23.3236 14.1671i 1.15047 0.698812i
\(412\) 12.9544 + 11.7892i 0.638220 + 0.580813i
\(413\) 3.66662 + 3.00912i 0.180423 + 0.148069i
\(414\) −29.2918 18.1098i −1.43962 0.890050i
\(415\) 5.08968 5.08968i 0.249843 0.249843i
\(416\) 17.4030 5.65139i 0.853254 0.277082i
\(417\) −5.71203 + 9.65857i −0.279719 + 0.472982i
\(418\) 13.3764 48.1460i 0.654262 2.35490i
\(419\) −11.2915 9.26671i −0.551627 0.452708i 0.316824 0.948484i \(-0.397384\pi\)
−0.868450 + 0.495776i \(0.834884\pi\)
\(420\) 4.87018 + 0.460683i 0.237640 + 0.0224790i
\(421\) −10.2978 33.9474i −0.501885 1.65449i −0.731980 0.681326i \(-0.761404\pi\)
0.230095 0.973168i \(-0.426096\pi\)
\(422\) −5.19820 7.39682i −0.253045 0.360071i
\(423\) 0.858668 1.65303i 0.0417499 0.0803728i
\(424\) −3.36313 12.2984i −0.163328 0.597261i
\(425\) −14.8069 9.89366i −0.718240 0.479913i
\(426\) 3.88759 6.94128i 0.188354 0.336306i
\(427\) 0.215375 2.18674i 0.0104227 0.105824i
\(428\) 8.25495 1.20739i 0.399018 0.0583612i
\(429\) 35.8069 + 1.54763i 1.72877 + 0.0747202i
\(430\) −42.8606 + 14.1110i −2.06692 + 0.680492i
\(431\) −16.9064 + 7.00286i −0.814352 + 0.337316i −0.750689 0.660656i \(-0.770278\pi\)
−0.0636631 + 0.997971i \(0.520278\pi\)
\(432\) 20.7715 + 0.737057i 0.999371 + 0.0354617i
\(433\) 24.1013 + 9.98308i 1.15823 + 0.479756i 0.877286 0.479967i \(-0.159351\pi\)
0.280947 + 0.959723i \(0.409351\pi\)
\(434\) −0.303136 0.0226700i −0.0145510 0.00108820i
\(435\) −9.37744 + 8.60041i −0.449614 + 0.412358i
\(436\) −0.810684 + 15.8455i −0.0388247 + 0.758860i
\(437\) 34.6568 28.4421i 1.65786 1.36057i
\(438\) 4.48050 + 0.530442i 0.214086 + 0.0253455i
\(439\) 5.30897 1.05602i 0.253383 0.0504011i −0.0667641 0.997769i \(-0.521268\pi\)
0.320148 + 0.947368i \(0.396268\pi\)
\(440\) 15.0019 65.8675i 0.715186 3.14011i
\(441\) 19.6133 6.20296i 0.933966 0.295379i
\(442\) 8.89357 1.98764i 0.423024 0.0945423i
\(443\) −10.9974 5.87822i −0.522501 0.279283i 0.188988 0.981979i \(-0.439479\pi\)
−0.711490 + 0.702697i \(0.751979\pi\)
\(444\) −15.2967 12.4551i −0.725947 0.591092i
\(445\) −1.86213 18.9065i −0.0882734 0.896255i
\(446\) −4.21105 34.4299i −0.199399 1.63030i
\(447\) 3.19082 + 12.4273i 0.150920 + 0.587791i
\(448\) 1.53981 + 2.60487i 0.0727493 + 0.123068i
\(449\) −14.5601 −0.687132 −0.343566 0.939128i \(-0.611635\pi\)
−0.343566 + 0.939128i \(0.611635\pi\)
\(450\) 22.1704 + 30.7702i 1.04512 + 1.45052i
\(451\) −4.62141 + 0.455169i −0.217614 + 0.0214331i
\(452\) 1.59528 10.6061i 0.0750358 0.498871i
\(453\) 16.0797 + 3.92720i 0.755490 + 0.184516i
\(454\) −22.9871 + 5.13743i −1.07884 + 0.241112i
\(455\) −4.48005 0.891137i −0.210028 0.0417771i
\(456\) −9.66634 + 25.2732i −0.452668 + 1.18352i
\(457\) 2.88866 + 14.5223i 0.135126 + 0.679323i 0.987655 + 0.156644i \(0.0500675\pi\)
−0.852529 + 0.522679i \(0.824933\pi\)
\(458\) −22.4698 8.69379i −1.04995 0.406234i
\(459\) 10.2648 + 1.33765i 0.479119 + 0.0624361i
\(460\) 44.9921 40.6124i 2.09777 1.89356i
\(461\) −3.60083 + 1.92469i −0.167708 + 0.0896415i −0.553115 0.833105i \(-0.686561\pi\)
0.385407 + 0.922747i \(0.374061\pi\)
\(462\) 1.04177 + 5.83477i 0.0484675 + 0.271458i
\(463\) −9.98306 + 24.1013i −0.463952 + 1.12008i 0.502809 + 0.864398i \(0.332300\pi\)
−0.966761 + 0.255682i \(0.917700\pi\)
\(464\) −7.71311 1.56681i −0.358072 0.0727375i
\(465\) −2.20646 2.93872i −0.102322 0.136280i
\(466\) −20.6665 + 6.80404i −0.957359 + 0.315191i
\(467\) −11.9183 + 39.2892i −0.551511 + 1.81809i 0.0231987 + 0.999731i \(0.492615\pi\)
−0.574710 + 0.818357i \(0.694885\pi\)
\(468\) −19.2244 2.66027i −0.888648 0.122971i
\(469\) 3.07815 + 0.303171i 0.142136 + 0.0139992i
\(470\) 2.37208 + 2.26301i 0.109416 + 0.104385i
\(471\) 20.7230 + 7.27736i 0.954867 + 0.335323i
\(472\) −28.0285 + 21.7367i −1.29012 + 1.00051i
\(473\) −30.3740 45.4580i −1.39660 2.09016i
\(474\) 7.81594 + 6.67586i 0.358998 + 0.306632i
\(475\) −47.2475 + 14.3324i −2.16786 + 0.657614i
\(476\) 0.641578 + 1.36366i 0.0294067 + 0.0625031i
\(477\) −2.48177 + 13.2937i −0.113633 + 0.608675i
\(478\) 2.62594 9.45159i 0.120108 0.432306i
\(479\) 22.7255 22.7255i 1.03835 1.03835i 0.0391184 0.999235i \(-0.487545\pi\)
0.999235 0.0391184i \(-0.0124550\pi\)
\(480\) −11.4463 + 34.7438i −0.522450 + 1.58583i
\(481\) 13.0243 + 13.0243i 0.593857 + 0.593857i
\(482\) 26.2852 14.8551i 1.19726 0.676633i
\(483\) −2.24530 + 4.82057i −0.102164 + 0.219344i
\(484\) 59.7824 2.81528i 2.71738 0.127967i
\(485\) 2.02965 + 6.69086i 0.0921617 + 0.303817i
\(486\) −19.4827 10.3161i −0.883755 0.467949i
\(487\) −31.9528 + 21.3502i −1.44792 + 0.967469i −0.450721 + 0.892665i \(0.648833\pi\)
−0.997198 + 0.0748042i \(0.976167\pi\)
\(488\) 15.5861 + 5.20163i 0.705548 + 0.235467i
\(489\) −31.2285 10.9666i −1.41220 0.495927i
\(490\) 0.851766 + 36.1944i 0.0384788 + 1.63510i
\(491\) −1.42213 + 14.4391i −0.0641797 + 0.651627i 0.908249 + 0.418429i \(0.137419\pi\)
−0.972429 + 0.233198i \(0.925081\pi\)
\(492\) 2.51459 0.00971332i 0.113366 0.000437910i
\(493\) −3.75111 1.13789i −0.168941 0.0512478i
\(494\) 11.3828 22.5566i 0.512135 1.01487i
\(495\) −44.7997 + 55.9197i −2.01360 + 2.51340i
\(496\) 0.668677 2.17254i 0.0300245 0.0975500i
\(497\) −1.13500 0.470131i −0.0509116 0.0210883i
\(498\) −3.87419 2.70034i −0.173607 0.121005i
\(499\) −6.67286 12.4840i −0.298718 0.558863i 0.687124 0.726541i \(-0.258873\pi\)
−0.985842 + 0.167678i \(0.946373\pi\)
\(500\) −27.7139 + 9.85278i −1.23940 + 0.440630i
\(501\) −8.63428 6.32509i −0.385751 0.282584i
\(502\) 14.6903 6.49393i 0.655660 0.289838i
\(503\) 18.7116 3.72197i 0.834310 0.165955i 0.240590 0.970627i \(-0.422659\pi\)
0.593719 + 0.804672i \(0.297659\pi\)
\(504\) −0.264073 3.19862i −0.0117627 0.142478i
\(505\) −9.29844 + 46.7464i −0.413775 + 2.08019i
\(506\) 62.0026 + 39.3509i 2.75635 + 1.74936i
\(507\) −4.26938 1.04273i −0.189610 0.0463091i
\(508\) 17.5906 4.36828i 0.780456 0.193811i
\(509\) 4.32606 + 43.9232i 0.191749 + 1.94686i 0.302812 + 0.953050i \(0.402075\pi\)
−0.111063 + 0.993813i \(0.535425\pi\)
\(510\) −7.30164 + 16.6915i −0.323322 + 0.739114i
\(511\) 0.696697i 0.0308201i
\(512\) −21.5493 + 6.90125i −0.952354 + 0.304995i
\(513\) 20.9213 19.6467i 0.923698 0.867422i
\(514\) 4.64110 5.93459i 0.204710 0.261763i
\(515\) 32.5402 3.20493i 1.43389 0.141226i
\(516\) 14.0564 + 26.0551i 0.618798 + 1.14701i
\(517\) −1.87244 + 3.50309i −0.0823499 + 0.154066i
\(518\) −1.63224 + 2.57180i −0.0717163 + 0.112998i
\(519\) −1.00546 18.2692i −0.0441347 0.801930i
\(520\) 13.9369 31.1846i 0.611175 1.36753i
\(521\) 6.59758 + 33.1683i 0.289045 + 1.45313i 0.803343 + 0.595517i \(0.203053\pi\)
−0.514298 + 0.857612i \(0.671947\pi\)
\(522\) 6.63611 + 5.06482i 0.290455 + 0.221681i
\(523\) −14.0139 17.0759i −0.612783 0.746679i 0.370486 0.928838i \(-0.379191\pi\)
−0.983269 + 0.182159i \(0.941691\pi\)
\(524\) 4.60793 + 12.9612i 0.201298 + 0.566212i
\(525\) 4.31600 3.95837i 0.188366 0.172757i
\(526\) −19.3346 + 16.6440i −0.843031 + 0.725712i
\(527\) 0.433238 1.04593i 0.0188722 0.0455614i
\(528\) −44.2717 2.09360i −1.92668 0.0911122i
\(529\) 16.4124 + 39.6230i 0.713583 + 1.72274i
\(530\) −21.2487 10.7228i −0.922986 0.465767i
\(531\) 36.8091 7.77384i 1.59738 0.337356i
\(532\) 4.05103 + 1.02347i 0.175635 + 0.0443733i
\(533\) −2.33670 0.230145i −0.101214 0.00996870i
\(534\) −11.9964 + 3.38293i −0.519135 + 0.146394i
\(535\) 8.65241 12.9492i 0.374076 0.559845i
\(536\) −7.32204 + 21.9396i −0.316264 + 0.947646i
\(537\) 8.80111 9.82628i 0.379796 0.424035i
\(538\) −0.969868 + 5.55600i −0.0418140 + 0.239536i
\(539\) −41.9764 + 12.7334i −1.80805 + 0.548467i
\(540\) 27.0029 27.8615i 1.16202 1.19897i
\(541\) 9.53343 11.6165i 0.409874 0.499433i −0.526628 0.850096i \(-0.676544\pi\)
0.936502 + 0.350663i \(0.114044\pi\)
\(542\) −7.43843 13.1618i −0.319508 0.565347i
\(543\) 12.3998 20.9671i 0.532128 0.899784i
\(544\) −11.0079 + 2.41330i −0.471962 + 0.103469i
\(545\) 20.9433 + 20.9433i 0.897111 + 0.897111i
\(546\) −0.0589324 + 2.99629i −0.00252207 + 0.128229i
\(547\) −8.86237 + 10.7988i −0.378928 + 0.461725i −0.927195 0.374578i \(-0.877788\pi\)
0.548268 + 0.836303i \(0.315288\pi\)
\(548\) 28.5127 13.4148i 1.21800 0.573050i
\(549\) −12.4677 12.1773i −0.532110 0.519713i
\(550\) −46.4997 66.1671i −1.98275 2.82137i
\(551\) −9.03643 + 6.03795i −0.384965 + 0.257225i
\(552\) −31.4186 24.3757i −1.33727 1.03750i
\(553\) 0.881824 1.31974i 0.0374990 0.0561211i
\(554\) −4.54503 + 4.76410i −0.193100 + 0.202407i
\(555\) −36.3926 + 5.61770i −1.54478 + 0.238458i
\(556\) −7.73966 + 10.3916i −0.328235 + 0.440701i
\(557\) 15.0390 + 4.56203i 0.637223 + 0.193300i 0.592334 0.805692i \(-0.298207\pi\)
0.0448891 + 0.998992i \(0.485707\pi\)
\(558\) −1.64358 + 1.76397i −0.0695785 + 0.0746748i
\(559\) −10.5787 25.5393i −0.447432 1.08020i
\(560\) 5.53564 + 1.12449i 0.233924 + 0.0475184i
\(561\) −21.8535 3.11017i −0.922657 0.131311i
\(562\) −7.67502 0.573976i −0.323751 0.0242117i
\(563\) −7.21393 13.4963i −0.304031 0.568802i 0.682791 0.730614i \(-0.260766\pi\)
−0.986822 + 0.161812i \(0.948266\pi\)
\(564\) 1.18806 1.79302i 0.0500265 0.0754996i
\(565\) −12.7017 15.4770i −0.534364 0.651124i
\(566\) 0.237907 0.614891i 0.00999997 0.0258458i
\(567\) −1.22824 + 3.17489i −0.0515812 + 0.133333i
\(568\) 5.31254 7.49465i 0.222909 0.314469i
\(569\) 5.69523 28.6319i 0.238757 1.20031i −0.656349 0.754457i \(-0.727900\pi\)
0.895106 0.445853i \(-0.147100\pi\)
\(570\) 22.9305 + 45.0071i 0.960453 + 1.88514i
\(571\) −0.235698 + 0.440961i −0.00986367 + 0.0184536i −0.886805 0.462144i \(-0.847080\pi\)
0.876941 + 0.480598i \(0.159580\pi\)
\(572\) 40.9245 + 6.15550i 1.71114 + 0.257374i
\(573\) −29.5221 + 10.7598i −1.23330 + 0.449499i
\(574\) −0.0471407 0.385427i −0.00196762 0.0160874i
\(575\) 72.5597i 3.02595i
\(576\) 23.7599 + 3.38626i 0.989996 + 0.141094i
\(577\) 26.0735i 1.08545i −0.839909 0.542727i \(-0.817392\pi\)
0.839909 0.542727i \(-0.182608\pi\)
\(578\) 18.2927 2.23734i 0.760876 0.0930612i
\(579\) 41.4543 15.1087i 1.72278 0.627897i
\(580\) −11.8189 + 8.72837i −0.490753 + 0.362426i
\(581\) −0.343753 + 0.643116i −0.0142613 + 0.0266810i
\(582\) 4.08737 2.08246i 0.169427 0.0863207i
\(583\) 5.62586 28.2831i 0.232999 1.17137i
\(584\) 5.07968 + 1.15694i 0.210198 + 0.0478744i
\(585\) −27.7327 + 23.3120i −1.14661 + 0.963833i
\(586\) 20.7234 + 8.01807i 0.856076 + 0.331223i
\(587\) 22.2172 + 27.0718i 0.917003 + 1.11737i 0.992744 + 0.120244i \(0.0383676\pi\)
−0.0757416 + 0.997127i \(0.524132\pi\)
\(588\) 23.2786 4.72396i 0.959994 0.194813i
\(589\) −1.47962 2.76817i −0.0609666 0.114060i
\(590\) −4.93793 + 66.0284i −0.203291 + 2.71834i
\(591\) 1.48263 + 0.211006i 0.0609871 + 0.00867961i
\(592\) −16.0407 16.1715i −0.659270 0.664645i
\(593\) 3.25668 + 7.86232i 0.133736 + 0.322867i 0.976534 0.215363i \(-0.0690934\pi\)
−0.842798 + 0.538229i \(0.819093\pi\)
\(594\) 41.2830 + 22.4863i 1.69386 + 0.922622i
\(595\) 2.69214 + 0.816653i 0.110367 + 0.0334795i
\(596\) 2.14410 + 14.6593i 0.0878257 + 0.600468i
\(597\) −32.5561 + 5.02548i −1.33243 + 0.205679i
\(598\) 26.8661 + 25.6307i 1.09863 + 1.04812i
\(599\) −15.7081 + 23.5089i −0.641817 + 0.960547i 0.357825 + 0.933789i \(0.383518\pi\)
−0.999642 + 0.0267580i \(0.991482\pi\)
\(600\) 21.6936 + 38.0416i 0.885638 + 1.55304i
\(601\) −15.5670 + 10.4015i −0.634991 + 0.424287i −0.830967 0.556321i \(-0.812212\pi\)
0.195977 + 0.980609i \(0.437212\pi\)
\(602\) 3.74026 2.62851i 0.152442 0.107130i
\(603\) 17.1412 17.5501i 0.698045 0.714696i
\(604\) 17.9826 + 6.47549i 0.731702 + 0.263484i
\(605\) 70.8762 86.3628i 2.88153 3.51115i
\(606\) 31.2643 + 0.614921i 1.27003 + 0.0249795i
\(607\) −28.7941 28.7941i −1.16871 1.16871i −0.982511 0.186204i \(-0.940382\pi\)
−0.186204 0.982511i \(-0.559618\pi\)
\(608\) −14.1894 + 27.8368i −0.575456 + 1.12893i
\(609\) 0.656196 1.10957i 0.0265904 0.0449621i
\(610\) 26.7034 15.0915i 1.08119 0.611038i
\(611\) −1.27412 + 1.55252i −0.0515453 + 0.0628082i
\(612\) 11.6225 + 2.79109i 0.469813 + 0.112823i
\(613\) −13.9469 + 4.23074i −0.563310 + 0.170878i −0.559081 0.829113i \(-0.688846\pi\)
−0.00422858 + 0.999991i \(0.501346\pi\)
\(614\) 1.67063 + 0.291629i 0.0674211 + 0.0117692i
\(615\) 3.13185 3.49666i 0.126288 0.140999i
\(616\) 0.482687 + 6.82691i 0.0194480 + 0.275064i
\(617\) 20.2768 30.3463i 0.816312 1.22170i −0.155941 0.987766i \(-0.549841\pi\)
0.972253 0.233931i \(-0.0751591\pi\)
\(618\) −5.82240 20.6471i −0.234211 0.830550i
\(619\) −20.5554 2.02453i −0.826190 0.0813726i −0.323921 0.946084i \(-0.605001\pi\)
−0.502269 + 0.864711i \(0.667501\pi\)
\(620\) −2.17413 3.64407i −0.0873151 0.146349i
\(621\) 18.7045 + 37.8035i 0.750587 + 1.51700i
\(622\) 3.63483 7.20296i 0.145744 0.288812i
\(623\) 0.736549 + 1.77819i 0.0295092 + 0.0712415i
\(624\) −21.7483 5.40532i −0.870629 0.216386i
\(625\) −3.90790 + 9.43451i −0.156316 + 0.377380i
\(626\) −2.65375 3.08275i −0.106065 0.123212i
\(627\) −45.1033 + 41.3660i −1.80125 + 1.65200i
\(628\) 22.9045 + 10.8900i 0.913988 + 0.434557i
\(629\) −7.19669 8.76919i −0.286951 0.349650i
\(630\) −4.76269 3.63498i −0.189750 0.144821i
\(631\) 7.91634 + 39.7981i 0.315144 + 1.58434i 0.735853 + 0.677142i \(0.236782\pi\)
−0.420708 + 0.907196i \(0.638218\pi\)
\(632\) 8.15799 + 8.62101i 0.324507 + 0.342926i
\(633\) 0.608463 + 11.0558i 0.0241842 + 0.439429i
\(634\) 21.8733 + 13.8823i 0.868701 + 0.551335i
\(635\) 15.9495 29.8395i 0.632938 1.18414i
\(636\) −4.47515 + 14.9604i −0.177451 + 0.593218i
\(637\) −22.0726 + 2.17396i −0.874549 + 0.0861355i
\(638\) −14.0226 10.9663i −0.555160 0.434159i
\(639\) −8.53855 + 4.69416i −0.337780 + 0.185698i
\(640\) −17.3913 + 38.4935i −0.687450 + 1.52159i
\(641\) 25.0987i 0.991339i −0.868511 0.495670i \(-0.834923\pi\)
0.868511 0.495670i \(-0.165077\pi\)
\(642\) −9.36128 4.09505i −0.369460 0.161619i
\(643\) 1.92698 + 19.5650i 0.0759928 + 0.771567i 0.955364 + 0.295431i \(0.0954632\pi\)
−0.879371 + 0.476137i \(0.842037\pi\)
\(644\) −3.16753 + 5.26046i −0.124818 + 0.207291i
\(645\) 53.6870 + 13.1122i 2.11392 + 0.516291i
\(646\) −8.33849 + 13.1384i −0.328074 + 0.516923i
\(647\) 6.67511 33.5581i 0.262426 1.31930i −0.594596 0.804024i \(-0.702688\pi\)
0.857022 0.515279i \(-0.172312\pi\)
\(648\) −21.1088 14.2274i −0.829231 0.558906i
\(649\) −78.6818 + 15.6508i −3.08853 + 0.614347i
\(650\) −16.5328 37.3998i −0.648470 1.46694i
\(651\) 0.300337 + 0.220013i 0.0117711 + 0.00862301i
\(652\) −34.5158 16.4106i −1.35174 0.642688i
\(653\) 15.2981 + 28.6208i 0.598662 + 1.12002i 0.980635 + 0.195845i \(0.0627448\pi\)
−0.381973 + 0.924174i \(0.624755\pi\)
\(654\) 11.1115 15.9417i 0.434494 0.623371i
\(655\) 23.7242 + 9.82690i 0.926983 + 0.383969i
\(656\) 2.88846 + 0.296334i 0.112775 + 0.0115699i
\(657\) −4.31251 3.45494i −0.168247 0.134790i
\(658\) −0.296521 0.149634i −0.0115596 0.00583333i
\(659\) −33.3593 10.1194i −1.29949 0.394197i −0.436632 0.899640i \(-0.643829\pi\)
−0.862860 + 0.505443i \(0.831329\pi\)
\(660\) −58.2773 + 58.7293i −2.26844 + 2.28603i
\(661\) 2.38341 24.1991i 0.0927038 0.941237i −0.830524 0.556983i \(-0.811959\pi\)
0.923227 0.384254i \(-0.125541\pi\)
\(662\) 2.20282 0.0518391i 0.0856151 0.00201479i
\(663\) −10.5306 3.69806i −0.408975 0.143621i
\(664\) −4.11818 3.57429i −0.159816 0.138709i
\(665\) 6.48538 4.33339i 0.251492 0.168042i
\(666\) 7.82498 + 22.8570i 0.303212 + 0.885693i
\(667\) −4.63635 15.2840i −0.179520 0.591799i
\(668\) −9.14050 8.31833i −0.353657 0.321846i
\(669\) −17.9368 + 38.5097i −0.693476 + 1.48887i
\(670\) 21.2435 + 37.5889i 0.820707 + 1.45218i
\(671\) 26.2784 + 26.2784i 1.01447 + 1.01447i
\(672\) 0.0879201 3.70497i 0.00339159 0.142922i
\(673\) 22.2597 22.2597i 0.858050 0.858050i −0.133058 0.991108i \(-0.542480\pi\)
0.991108 + 0.133058i \(0.0424798\pi\)
\(674\) 30.3874 + 8.44254i 1.17048 + 0.325194i
\(675\) −3.09888 46.3454i −0.119276 1.78383i
\(676\) −4.77463 1.71933i −0.183639 0.0661281i
\(677\) −28.4337 + 8.62526i −1.09279 + 0.331495i −0.784710 0.619863i \(-0.787188\pi\)
−0.308085 + 0.951359i \(0.599688\pi\)
\(678\) −8.53142 + 9.98838i −0.327647 + 0.383601i
\(679\) −0.393541 0.588976i −0.0151027 0.0226028i
\(680\) −10.4249 + 18.2725i −0.399775 + 0.700718i
\(681\) 27.2184 + 9.55835i 1.04301 + 0.366277i
\(682\) 3.54887 3.71993i 0.135893 0.142443i
\(683\) 2.25355 + 0.221955i 0.0862295 + 0.00849287i 0.141040 0.990004i \(-0.454955\pi\)
−0.0548103 + 0.998497i \(0.517455\pi\)
\(684\) 26.4244 20.0002i 1.01036 0.764726i
\(685\) 17.0754 56.2900i 0.652417 2.15073i
\(686\) −2.31796 7.04055i −0.0885001 0.268809i
\(687\) 17.7172 + 23.5969i 0.675952 + 0.900280i
\(688\) 12.9536 + 31.6355i 0.493852 + 1.20609i
\(689\) 5.57985 13.4709i 0.212575 0.513202i
\(690\) −73.0770 + 13.0476i −2.78199 + 0.496712i
\(691\) 19.2898 10.3106i 0.733817 0.392233i −0.0617557 0.998091i \(-0.519670\pi\)
0.795573 + 0.605858i \(0.207170\pi\)
\(692\) 1.07951 21.0998i 0.0410367 0.802095i
\(693\) 2.69871 6.73882i 0.102516 0.255986i
\(694\) −3.95210 + 10.2146i −0.150020 + 0.387739i
\(695\) 4.71880 + 23.7230i 0.178994 + 0.899865i
\(696\) 7.00030 + 6.62693i 0.265346 + 0.251193i
\(697\) 1.41833 + 0.282124i 0.0537232 + 0.0106862i
\(698\) −8.35153 37.3684i −0.316110 1.41442i
\(699\) 25.8868 + 6.32244i 0.979130 + 0.239136i
\(700\) 5.43970 4.01726i 0.205601 0.151838i
\(701\) 30.4533 2.99939i 1.15020 0.113285i 0.495109 0.868831i \(-0.335128\pi\)
0.655096 + 0.755546i \(0.272628\pi\)
\(702\) 18.2545 + 15.2234i 0.688974 + 0.574572i
\(703\) −31.4521 −1.18624
\(704\) −50.5771 7.81748i −1.90620 0.294632i
\(705\) −0.998552 3.88907i −0.0376077 0.146471i
\(706\) 17.7812 2.17478i 0.669205 0.0818490i
\(707\) −0.473293 4.80543i −0.0178000 0.180727i
\(708\) 43.2151 4.42493i 1.62412 0.166299i
\(709\) −12.8264 6.85585i −0.481706 0.257477i 0.212624 0.977134i \(-0.431799\pi\)
−0.694330 + 0.719657i \(0.744299\pi\)
\(710\) −3.74039 16.7362i −0.140374 0.628097i
\(711\) −3.79613 12.0031i −0.142366 0.450150i
\(712\) −14.1880 + 2.41738i −0.531718 + 0.0905950i
\(713\) 4.52416 0.899912i 0.169431 0.0337020i
\(714\) 0.217001 1.83294i 0.00812105 0.0685962i
\(715\) 59.7191 49.0102i 2.23337 1.83288i
\(716\) 11.3071 10.2064i 0.422565 0.381431i
\(717\) −8.85427 + 8.12059i −0.330669 + 0.303269i
\(718\) 1.49708 20.0184i 0.0558705 0.747082i
\(719\) −4.92599 2.04041i −0.183708 0.0760945i 0.288933 0.957349i \(-0.406699\pi\)
−0.472642 + 0.881255i \(0.656699\pi\)
\(720\) 34.4119 28.6889i 1.28246 1.06917i
\(721\) −3.06046 + 1.26768i −0.113977 + 0.0472110i
\(722\) 5.08902 + 15.4573i 0.189394 + 0.575263i
\(723\) −36.9436 1.59676i −1.37395 0.0593841i
\(724\) 16.8015 22.5583i 0.624422 0.838373i
\(725\) −1.72403 + 17.5044i −0.0640289 + 0.650097i
\(726\) −63.9523 35.8176i −2.37349 1.32932i
\(727\) 21.9151 + 14.6432i 0.812785 + 0.543085i 0.891081 0.453845i \(-0.149948\pi\)
−0.0782959 + 0.996930i \(0.524948\pi\)
\(728\) −0.434056 + 3.43315i −0.0160872 + 0.127241i
\(729\) 13.5615 + 23.3471i 0.502277 + 0.864707i
\(730\) 7.95697 5.59186i 0.294501 0.206964i
\(731\) 4.94222 + 16.2923i 0.182794 + 0.602592i
\(732\) −12.8265 15.5066i −0.474081 0.573141i
\(733\) −13.7426 11.2782i −0.507594 0.416571i 0.345429 0.938445i \(-0.387733\pi\)
−0.853023 + 0.521873i \(0.825233\pi\)
\(734\) 8.49089 + 2.35903i 0.313404 + 0.0870732i
\(735\) 22.5714 38.1664i 0.832560 1.40779i
\(736\) −33.0944 31.8303i −1.21988 1.17328i
\(737\) −36.9905 + 36.9905i −1.36256 + 1.36256i
\(738\) −2.61954 1.61954i −0.0964264 0.0596161i
\(739\) 30.1964 + 24.7815i 1.11079 + 0.911603i 0.996644 0.0818607i \(-0.0260862\pi\)
0.114148 + 0.993464i \(0.463586\pi\)
\(740\) −42.4732 + 2.00016i −1.56135 + 0.0735273i
\(741\) −26.4477 + 16.0647i −0.971579 + 0.590152i
\(742\) 2.37537 + 0.414649i 0.0872024 + 0.0152222i
\(743\) 16.7421 + 25.0563i 0.614208 + 0.919228i 0.999994 0.00336055i \(-0.00106970\pi\)
−0.385786 + 0.922588i \(0.626070\pi\)
\(744\) −2.10288 + 1.82442i −0.0770952 + 0.0668866i
\(745\) 22.9955 + 15.3651i 0.842490 + 0.562934i
\(746\) 23.2001 0.545970i 0.849417 0.0199894i
\(747\) 2.27617 + 5.31703i 0.0832806 + 0.194540i
\(748\) −24.7121 6.24340i −0.903564 0.228281i
\(749\) −0.458011 + 1.50986i −0.0167354 + 0.0551691i
\(750\) 35.1865 + 7.72130i 1.28483 + 0.281942i
\(751\) 22.6689 9.38978i 0.827201 0.342638i 0.0714071 0.997447i \(-0.477251\pi\)
0.755794 + 0.654809i \(0.227251\pi\)
\(752\) 1.58340 1.91348i 0.0577405 0.0697774i
\(753\) −19.4751 2.77168i −0.709714 0.101006i
\(754\) −5.87221 6.82151i −0.213853 0.248425i
\(755\) 31.4663 16.8191i 1.14518 0.612109i
\(756\) −1.79850 + 3.49524i −0.0654110 + 0.127121i
\(757\) 18.6291 15.2885i 0.677087 0.555671i −0.231774 0.972770i \(-0.574453\pi\)
0.908861 + 0.417099i \(0.136953\pi\)
\(758\) −5.34275 12.0861i −0.194057 0.438989i
\(759\) −38.9328 81.0769i −1.41317 2.94291i
\(760\) 20.8255 + 54.4815i 0.755419 + 1.97625i
\(761\) −16.3119 3.24464i −0.591306 0.117618i −0.109638 0.993972i \(-0.534969\pi\)
−0.481668 + 0.876354i \(0.659969\pi\)
\(762\) −21.1116 6.86031i −0.764794 0.248523i
\(763\) −2.64633 1.41449i −0.0958035 0.0512080i
\(764\) −35.2132 + 8.74453i −1.27397 + 0.316366i
\(765\) 18.4054 12.6144i 0.665449 0.456074i
\(766\) −20.3318 15.9003i −0.734619 0.574503i
\(767\) −40.5630 −1.46464
\(768\) 26.8672 + 6.79352i 0.969488 + 0.245140i
\(769\) −36.5904 −1.31948 −0.659742 0.751492i \(-0.729335\pi\)
−0.659742 + 0.751492i \(0.729335\pi\)
\(770\) 10.0639 + 7.87041i 0.362678 + 0.283630i
\(771\) −8.66922 + 3.15964i −0.312214 + 0.113792i
\(772\) 49.4456 12.2789i 1.77959 0.441926i
\(773\) −16.0220 8.56392i −0.576270 0.308023i 0.157393 0.987536i \(-0.449691\pi\)