Properties

Label 384.2.v.a.253.12
Level $384$
Weight $2$
Character 384.253
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 253.12
Character \(\chi\) \(=\) 384.253
Dual form 384.2.v.a.85.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.669779 - 1.24555i) q^{2} +(-0.634393 - 0.773010i) q^{3} +(-1.10279 + 1.66849i) q^{4} +(-2.98209 - 0.904607i) q^{5} +(-0.537921 + 1.30791i) q^{6} +(1.28096 - 0.254799i) q^{7} +(2.81681 + 0.256069i) q^{8} +(-0.195090 + 0.980785i) q^{9} +O(q^{10})\) \(q+(-0.669779 - 1.24555i) q^{2} +(-0.634393 - 0.773010i) q^{3} +(-1.10279 + 1.66849i) q^{4} +(-2.98209 - 0.904607i) q^{5} +(-0.537921 + 1.30791i) q^{6} +(1.28096 - 0.254799i) q^{7} +(2.81681 + 0.256069i) q^{8} +(-0.195090 + 0.980785i) q^{9} +(0.870606 + 4.32023i) q^{10} +(-4.61401 + 0.454440i) q^{11} +(1.98936 - 0.206006i) q^{12} +(0.573691 + 1.89121i) q^{13} +(-1.17533 - 1.42485i) q^{14} +(1.19255 + 2.87906i) q^{15} +(-1.56769 - 3.67999i) q^{16} +(-1.01284 + 2.44522i) q^{17} +(1.35229 - 0.413914i) q^{18} +(4.25442 + 2.27403i) q^{19} +(4.79796 - 3.97798i) q^{20} +(-1.00960 - 0.828555i) q^{21} +(3.65639 + 5.44261i) q^{22} +(4.72418 + 7.07024i) q^{23} +(-1.58902 - 2.33987i) q^{24} +(3.91720 + 2.61739i) q^{25} +(1.97135 - 1.98125i) q^{26} +(0.881921 - 0.471397i) q^{27} +(-0.987508 + 2.41826i) q^{28} +(0.221738 - 2.25134i) q^{29} +(2.78728 - 3.41371i) q^{30} +(-0.564249 + 0.564249i) q^{31} +(-3.53361 + 4.41742i) q^{32} +(3.27838 + 3.27838i) q^{33} +(3.72403 - 0.376208i) q^{34} +(-4.05044 - 0.398934i) q^{35} +(-1.42128 - 1.40711i) q^{36} +(-0.767807 - 1.43647i) q^{37} +(-0.0170933 - 6.82219i) q^{38} +(1.09798 - 1.64324i) q^{39} +(-8.16835 - 3.31173i) q^{40} +(-1.28052 + 0.855618i) q^{41} +(-0.355801 + 1.81245i) q^{42} +(-5.67657 + 6.91691i) q^{43} +(4.33007 - 8.19957i) q^{44} +(1.46900 - 2.74831i) q^{45} +(5.64219 - 10.6197i) q^{46} +(-0.668810 - 0.277030i) q^{47} +(-1.85014 + 3.54641i) q^{48} +(-4.89121 + 2.02601i) q^{49} +(0.636435 - 6.63215i) q^{50} +(2.53272 - 0.768293i) q^{51} +(-3.78811 - 1.12841i) q^{52} +(-0.988824 - 10.0397i) q^{53} +(-1.17784 - 0.782746i) q^{54} +(14.1705 + 2.81868i) q^{55} +(3.67348 - 0.389707i) q^{56} +(-0.941123 - 4.73134i) q^{57} +(-2.95267 + 1.23171i) q^{58} +(-3.27822 + 10.8068i) q^{59} +(-6.11881 - 1.18526i) q^{60} +(-4.64458 + 3.81171i) q^{61} +(1.08072 + 0.324879i) q^{62} +1.30606i q^{63} +(7.86886 + 1.44260i) q^{64} -6.15871i q^{65} +(1.88760 - 6.27918i) q^{66} +(-5.87783 + 4.82381i) q^{67} +(-2.96286 - 4.38649i) q^{68} +(2.46838 - 8.13716i) q^{69} +(2.21601 + 5.31223i) q^{70} +(2.72547 + 13.7019i) q^{71} +(-0.800681 + 2.71273i) q^{72} +(-11.0320 - 2.19440i) q^{73} +(-1.27493 + 1.91846i) q^{74} +(-0.461776 - 4.68849i) q^{75} +(-8.48594 + 4.59065i) q^{76} +(-5.79458 + 1.75777i) q^{77} +(-2.78214 - 0.266980i) q^{78} +(8.36408 - 3.46452i) q^{79} +(1.34606 + 12.3922i) q^{80} +(-0.923880 - 0.382683i) q^{81} +(1.92338 + 1.02188i) q^{82} +(-2.67324 + 5.00129i) q^{83} +(2.49581 - 0.770774i) q^{84} +(5.23236 - 6.37565i) q^{85} +(12.4174 + 2.43765i) q^{86} +(-1.88098 + 1.25683i) q^{87} +(-13.1132 + 0.0985687i) q^{88} +(6.59157 - 9.86499i) q^{89} +(-4.40707 + 0.0110421i) q^{90} +(1.21675 + 2.27639i) q^{91} +(-17.0064 + 0.0852213i) q^{92} +(0.794126 + 0.0782146i) q^{93} +(0.102899 + 1.01859i) q^{94} +(-10.6300 - 10.6300i) q^{95} +(5.65641 - 0.0708656i) q^{96} +(-9.66618 + 9.66618i) q^{97} +(5.79952 + 4.73528i) q^{98} +(0.454440 - 4.61401i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.669779 1.24555i −0.473605 0.880737i
\(3\) −0.634393 0.773010i −0.366267 0.446298i
\(4\) −1.10279 + 1.66849i −0.551397 + 0.834243i
\(5\) −2.98209 0.904607i −1.33363 0.404553i −0.458610 0.888637i \(-0.651653\pi\)
−0.875021 + 0.484085i \(0.839153\pi\)
\(6\) −0.537921 + 1.30791i −0.219605 + 0.533954i
\(7\) 1.28096 0.254799i 0.484158 0.0963051i 0.0530248 0.998593i \(-0.483114\pi\)
0.431134 + 0.902288i \(0.358114\pi\)
\(8\) 2.81681 + 0.256069i 0.995893 + 0.0905340i
\(9\) −0.195090 + 0.980785i −0.0650301 + 0.326928i
\(10\) 0.870606 + 4.32023i 0.275310 + 1.36618i
\(11\) −4.61401 + 0.454440i −1.39118 + 0.137019i −0.765687 0.643214i \(-0.777601\pi\)
−0.625490 + 0.780233i \(0.715101\pi\)
\(12\) 1.98936 0.206006i 0.574279 0.0594687i
\(13\) 0.573691 + 1.89121i 0.159113 + 0.524526i 0.999857 0.0169071i \(-0.00538196\pi\)
−0.840744 + 0.541433i \(0.817882\pi\)
\(14\) −1.17533 1.42485i −0.314119 0.380806i
\(15\) 1.19255 + 2.87906i 0.307914 + 0.743371i
\(16\) −1.56769 3.67999i −0.391923 0.919998i
\(17\) −1.01284 + 2.44522i −0.245651 + 0.593053i −0.997826 0.0659103i \(-0.979005\pi\)
0.752175 + 0.658964i \(0.229005\pi\)
\(18\) 1.35229 0.413914i 0.318737 0.0975605i
\(19\) 4.25442 + 2.27403i 0.976031 + 0.521699i 0.880663 0.473743i \(-0.157097\pi\)
0.0953675 + 0.995442i \(0.469597\pi\)
\(20\) 4.79796 3.97798i 1.07286 0.889504i
\(21\) −1.00960 0.828555i −0.220312 0.180805i
\(22\) 3.65639 + 5.44261i 0.779546 + 1.16037i
\(23\) 4.72418 + 7.07024i 0.985060 + 1.47425i 0.877226 + 0.480078i \(0.159392\pi\)
0.107835 + 0.994169i \(0.465608\pi\)
\(24\) −1.58902 2.33987i −0.324358 0.477625i
\(25\) 3.91720 + 2.61739i 0.783441 + 0.523478i
\(26\) 1.97135 1.98125i 0.386613 0.388555i
\(27\) 0.881921 0.471397i 0.169726 0.0907203i
\(28\) −0.987508 + 2.41826i −0.186621 + 0.457008i
\(29\) 0.221738 2.25134i 0.0411756 0.418063i −0.952396 0.304862i \(-0.901390\pi\)
0.993572 0.113201i \(-0.0361104\pi\)
\(30\) 2.78728 3.41371i 0.508885 0.623256i
\(31\) −0.564249 + 0.564249i −0.101342 + 0.101342i −0.755960 0.654618i \(-0.772830\pi\)
0.654618 + 0.755960i \(0.272830\pi\)
\(32\) −3.53361 + 4.41742i −0.624660 + 0.780897i
\(33\) 3.27838 + 3.27838i 0.570693 + 0.570693i
\(34\) 3.72403 0.376208i 0.638666 0.0645192i
\(35\) −4.05044 0.398934i −0.684649 0.0674321i
\(36\) −1.42128 1.40711i −0.236880 0.234518i
\(37\) −0.767807 1.43647i −0.126227 0.236154i 0.810868 0.585229i \(-0.198996\pi\)
−0.937094 + 0.349076i \(0.886496\pi\)
\(38\) −0.0170933 6.82219i −0.00277291 1.10671i
\(39\) 1.09798 1.64324i 0.175817 0.263128i
\(40\) −8.16835 3.31173i −1.29153 0.523630i
\(41\) −1.28052 + 0.855618i −0.199984 + 0.133625i −0.651530 0.758623i \(-0.725873\pi\)
0.451546 + 0.892248i \(0.350873\pi\)
\(42\) −0.355801 + 1.81245i −0.0549012 + 0.279667i
\(43\) −5.67657 + 6.91691i −0.865668 + 1.05482i 0.132307 + 0.991209i \(0.457762\pi\)
−0.997975 + 0.0636108i \(0.979738\pi\)
\(44\) 4.33007 8.19957i 0.652783 1.23613i
\(45\) 1.46900 2.74831i 0.218986 0.409694i
\(46\) 5.64219 10.6197i 0.831895 1.56579i
\(47\) −0.668810 0.277030i −0.0975559 0.0404090i 0.333372 0.942795i \(-0.391814\pi\)
−0.430928 + 0.902386i \(0.641814\pi\)
\(48\) −1.85014 + 3.54641i −0.267044 + 0.511880i
\(49\) −4.89121 + 2.02601i −0.698745 + 0.289430i
\(50\) 0.636435 6.63215i 0.0900055 0.937927i
\(51\) 2.53272 0.768293i 0.354652 0.107583i
\(52\) −3.78811 1.12841i −0.525317 0.156483i
\(53\) −0.988824 10.0397i −0.135825 1.37906i −0.785507 0.618853i \(-0.787598\pi\)
0.649682 0.760207i \(-0.274902\pi\)
\(54\) −1.17784 0.782746i −0.160284 0.106518i
\(55\) 14.1705 + 2.81868i 1.91075 + 0.380071i
\(56\) 3.67348 0.389707i 0.490889 0.0520768i
\(57\) −0.941123 4.73134i −0.124655 0.626682i
\(58\) −2.95267 + 1.23171i −0.387705 + 0.161732i
\(59\) −3.27822 + 10.8068i −0.426788 + 1.40693i 0.435352 + 0.900260i \(0.356624\pi\)
−0.862140 + 0.506670i \(0.830876\pi\)
\(60\) −6.11881 1.18526i −0.789935 0.153017i
\(61\) −4.64458 + 3.81171i −0.594678 + 0.488040i −0.882924 0.469517i \(-0.844428\pi\)
0.288245 + 0.957557i \(0.406928\pi\)
\(62\) 1.08072 + 0.324879i 0.137252 + 0.0412597i
\(63\) 1.30606i 0.164548i
\(64\) 7.86886 + 1.44260i 0.983607 + 0.180324i
\(65\) 6.15871i 0.763894i
\(66\) 1.88760 6.27918i 0.232348 0.772914i
\(67\) −5.87783 + 4.82381i −0.718091 + 0.589322i −0.920855 0.389906i \(-0.872508\pi\)
0.202764 + 0.979228i \(0.435008\pi\)
\(68\) −2.96286 4.38649i −0.359300 0.531940i
\(69\) 2.46838 8.13716i 0.297158 0.979599i
\(70\) 2.21601 + 5.31223i 0.264863 + 0.634933i
\(71\) 2.72547 + 13.7019i 0.323454 + 1.62611i 0.710250 + 0.703949i \(0.248582\pi\)
−0.386796 + 0.922165i \(0.626418\pi\)
\(72\) −0.800681 + 2.71273i −0.0943612 + 0.319698i
\(73\) −11.0320 2.19440i −1.29120 0.256835i −0.498733 0.866756i \(-0.666201\pi\)
−0.792462 + 0.609921i \(0.791201\pi\)
\(74\) −1.27493 + 1.91846i −0.148208 + 0.223016i
\(75\) −0.461776 4.68849i −0.0533213 0.541381i
\(76\) −8.48594 + 4.59065i −0.973404 + 0.526584i
\(77\) −5.79458 + 1.75777i −0.660354 + 0.200316i
\(78\) −2.78214 0.266980i −0.315015 0.0302295i
\(79\) 8.36408 3.46452i 0.941033 0.389789i 0.141179 0.989984i \(-0.454911\pi\)
0.799853 + 0.600195i \(0.204911\pi\)
\(80\) 1.34606 + 12.3922i 0.150494 + 1.38549i
\(81\) −0.923880 0.382683i −0.102653 0.0425204i
\(82\) 1.92338 + 1.02188i 0.212402 + 0.112848i
\(83\) −2.67324 + 5.00129i −0.293427 + 0.548963i −0.984833 0.173503i \(-0.944491\pi\)
0.691407 + 0.722466i \(0.256991\pi\)
\(84\) 2.49581 0.770774i 0.272315 0.0840983i
\(85\) 5.23236 6.37565i 0.567529 0.691536i
\(86\) 12.4174 + 2.43765i 1.33900 + 0.262858i
\(87\) −1.88098 + 1.25683i −0.201662 + 0.134746i
\(88\) −13.1132 + 0.0985687i −1.39787 + 0.0105075i
\(89\) 6.59157 9.86499i 0.698705 1.04569i −0.297158 0.954828i \(-0.596039\pi\)
0.995864 0.0908584i \(-0.0289611\pi\)
\(90\) −4.40707 + 0.0110421i −0.464546 + 0.00116394i
\(91\) 1.21675 + 2.27639i 0.127551 + 0.238630i
\(92\) −17.0064 + 0.0852213i −1.77304 + 0.00888493i
\(93\) 0.794126 + 0.0782146i 0.0823471 + 0.00811048i
\(94\) 0.102899 + 1.01859i 0.0106133 + 0.105059i
\(95\) −10.6300 10.6300i −1.09061 1.09061i
\(96\) 5.65641 0.0708656i 0.577305 0.00723269i
\(97\) −9.66618 + 9.66618i −0.981452 + 0.981452i −0.999831 0.0183790i \(-0.994149\pi\)
0.0183790 + 0.999831i \(0.494149\pi\)
\(98\) 5.79952 + 4.73528i 0.585840 + 0.478335i
\(99\) 0.454440 4.61401i 0.0456730 0.463725i
\(100\) −8.68695 + 3.64936i −0.868695 + 0.364936i
\(101\) 4.10838 2.19598i 0.408799 0.218508i −0.254162 0.967162i \(-0.581800\pi\)
0.662961 + 0.748654i \(0.269300\pi\)
\(102\) −2.65331 2.64005i −0.262717 0.261404i
\(103\) −12.1054 8.08854i −1.19278 0.796987i −0.209269 0.977858i \(-0.567108\pi\)
−0.983507 + 0.180871i \(0.942108\pi\)
\(104\) 1.13170 + 5.47407i 0.110972 + 0.536777i
\(105\) 2.26119 + 3.38411i 0.220670 + 0.330256i
\(106\) −11.8427 + 7.95601i −1.15026 + 0.772756i
\(107\) 3.50407 + 2.87571i 0.338751 + 0.278006i 0.788353 0.615223i \(-0.210934\pi\)
−0.449602 + 0.893229i \(0.648434\pi\)
\(108\) −0.186058 + 1.99133i −0.0179034 + 0.191616i
\(109\) −3.62622 1.93825i −0.347329 0.185651i 0.288503 0.957479i \(-0.406843\pi\)
−0.635831 + 0.771828i \(0.719343\pi\)
\(110\) −5.98027 19.5380i −0.570197 1.86287i
\(111\) −0.623312 + 1.50481i −0.0591621 + 0.142830i
\(112\) −2.94582 4.31449i −0.278353 0.407681i
\(113\) −6.57400 15.8710i −0.618430 1.49302i −0.853527 0.521049i \(-0.825541\pi\)
0.235097 0.971972i \(-0.424459\pi\)
\(114\) −5.26278 + 4.34117i −0.492905 + 0.406588i
\(115\) −7.69215 25.3576i −0.717297 2.36461i
\(116\) 3.51180 + 2.85273i 0.326062 + 0.264869i
\(117\) −1.96679 + 0.193712i −0.181830 + 0.0179087i
\(118\) 15.6561 3.15500i 1.44127 0.290441i
\(119\) −0.674375 + 3.39031i −0.0618198 + 0.310789i
\(120\) 2.62194 + 8.41516i 0.239350 + 0.768195i
\(121\) 10.2939 2.04759i 0.935812 0.186145i
\(122\) 7.85852 + 3.23206i 0.711477 + 0.292617i
\(123\) 1.47376 + 0.447059i 0.132884 + 0.0403100i
\(124\) −0.319192 1.56369i −0.0286643 0.140424i
\(125\) 0.570982 + 0.695744i 0.0510702 + 0.0622292i
\(126\) 1.62676 0.874770i 0.144923 0.0779307i
\(127\) 9.18145 0.814722 0.407361 0.913267i \(-0.366449\pi\)
0.407361 + 0.913267i \(0.366449\pi\)
\(128\) −3.47357 10.7673i −0.307023 0.951702i
\(129\) 8.94802 0.787829
\(130\) −7.67099 + 4.12497i −0.672790 + 0.361784i
\(131\) −8.80307 10.7266i −0.769127 0.937185i 0.230226 0.973137i \(-0.426053\pi\)
−0.999353 + 0.0359526i \(0.988553\pi\)
\(132\) −9.08532 + 1.85456i −0.790775 + 0.161419i
\(133\) 6.02917 + 1.82893i 0.522796 + 0.158588i
\(134\) 9.94514 + 4.09025i 0.859129 + 0.353344i
\(135\) −3.05640 + 0.607955i −0.263053 + 0.0523245i
\(136\) −3.47914 + 6.62837i −0.298333 + 0.568378i
\(137\) −4.41684 + 22.2050i −0.377356 + 1.89710i 0.0607078 + 0.998156i \(0.480664\pi\)
−0.438064 + 0.898944i \(0.644336\pi\)
\(138\) −11.7885 + 2.37560i −1.00350 + 0.202225i
\(139\) 3.28750 0.323791i 0.278842 0.0274636i 0.0423706 0.999102i \(-0.486509\pi\)
0.236472 + 0.971638i \(0.424009\pi\)
\(140\) 5.13241 6.31816i 0.433768 0.533982i
\(141\) 0.210141 + 0.692743i 0.0176971 + 0.0583395i
\(142\) 15.2409 12.5719i 1.27899 1.05501i
\(143\) −3.50645 8.46533i −0.293224 0.707906i
\(144\) 3.91512 0.819640i 0.326260 0.0683033i
\(145\) −2.69782 + 6.51311i −0.224042 + 0.540884i
\(146\) 4.65575 + 15.2106i 0.385313 + 1.25884i
\(147\) 4.66908 + 2.49567i 0.385099 + 0.205840i
\(148\) 3.24346 + 0.303050i 0.266610 + 0.0249105i
\(149\) 10.4854 + 8.60515i 0.858997 + 0.704961i 0.956957 0.290229i \(-0.0937316\pi\)
−0.0979597 + 0.995190i \(0.531232\pi\)
\(150\) −5.53047 + 3.71542i −0.451561 + 0.303363i
\(151\) 6.85659 + 10.2616i 0.557982 + 0.835079i 0.998020 0.0629004i \(-0.0200351\pi\)
−0.440038 + 0.897979i \(0.645035\pi\)
\(152\) 11.4016 + 7.49495i 0.924791 + 0.607921i
\(153\) −2.20064 1.47042i −0.177911 0.118877i
\(154\) 6.07048 + 6.04013i 0.489173 + 0.486728i
\(155\) 2.19307 1.17222i 0.176151 0.0941548i
\(156\) 1.53088 + 3.64411i 0.122568 + 0.291762i
\(157\) −0.966653 + 9.81459i −0.0771473 + 0.783290i 0.876307 + 0.481753i \(0.160000\pi\)
−0.953454 + 0.301537i \(0.902500\pi\)
\(158\) −9.91731 8.09743i −0.788979 0.644197i
\(159\) −7.13349 + 7.13349i −0.565723 + 0.565723i
\(160\) 14.5336 9.97662i 1.14898 0.788721i
\(161\) 7.85300 + 7.85300i 0.618903 + 0.618903i
\(162\) 0.142143 + 1.40705i 0.0111678 + 0.110548i
\(163\) 13.5042 + 1.33005i 1.05773 + 0.104177i 0.611896 0.790938i \(-0.290407\pi\)
0.445835 + 0.895115i \(0.352907\pi\)
\(164\) −0.0154348 3.08011i −0.00120526 0.240516i
\(165\) −6.81079 12.7421i −0.530219 0.991970i
\(166\) 8.01984 0.0200941i 0.622460 0.00155961i
\(167\) 7.83504 11.7260i 0.606294 0.907383i −0.393636 0.919266i \(-0.628783\pi\)
0.999929 + 0.0118840i \(0.00378287\pi\)
\(168\) −2.63168 2.59241i −0.203038 0.200009i
\(169\) 7.56157 5.05248i 0.581659 0.388652i
\(170\) −11.4457 2.24690i −0.877846 0.172329i
\(171\) −3.06034 + 3.72903i −0.234030 + 0.285166i
\(172\) −5.28070 17.0992i −0.402650 1.30380i
\(173\) 5.80164 10.8541i 0.441091 0.825223i −0.558901 0.829234i \(-0.688777\pi\)
0.999992 + 0.00401137i \(0.00127686\pi\)
\(174\) 2.82528 + 1.50106i 0.214184 + 0.113795i
\(175\) 5.68470 + 2.35468i 0.429723 + 0.177997i
\(176\) 8.90569 + 16.2671i 0.671292 + 1.22618i
\(177\) 10.4335 4.32169i 0.784228 0.324838i
\(178\) −16.7022 1.60278i −1.25189 0.120134i
\(179\) −16.2733 + 4.93645i −1.21632 + 0.368968i −0.832284 0.554349i \(-0.812967\pi\)
−0.384039 + 0.923317i \(0.625467\pi\)
\(180\) 2.96551 + 5.48183i 0.221036 + 0.408591i
\(181\) −1.76848 17.9557i −0.131450 1.33464i −0.804019 0.594603i \(-0.797309\pi\)
0.672569 0.740035i \(-0.265191\pi\)
\(182\) 2.02040 3.04020i 0.149762 0.225355i
\(183\) 5.89299 + 1.17219i 0.435622 + 0.0866506i
\(184\) 11.4967 + 21.1253i 0.847546 + 1.55737i
\(185\) 0.990233 + 4.97824i 0.0728034 + 0.366007i
\(186\) −0.434469 1.04151i −0.0318568 0.0763673i
\(187\) 3.56206 11.7426i 0.260484 0.858701i
\(188\) 1.19978 0.810393i 0.0875029 0.0591040i
\(189\) 1.00960 0.828555i 0.0734374 0.0602685i
\(190\) −6.12043 + 20.3599i −0.444023 + 1.47706i
\(191\) 12.7566i 0.923038i 0.887130 + 0.461519i \(0.152695\pi\)
−0.887130 + 0.461519i \(0.847305\pi\)
\(192\) −3.87681 6.99788i −0.279785 0.505029i
\(193\) 4.44879i 0.320231i −0.987098 0.160115i \(-0.948813\pi\)
0.987098 0.160115i \(-0.0511866\pi\)
\(194\) 18.5139 + 5.56552i 1.32922 + 0.399581i
\(195\) −4.76075 + 3.90704i −0.340924 + 0.279789i
\(196\) 2.01363 10.3952i 0.143831 0.742514i
\(197\) −5.96994 + 19.6803i −0.425341 + 1.40216i 0.438653 + 0.898657i \(0.355456\pi\)
−0.863993 + 0.503503i \(0.832044\pi\)
\(198\) −6.05136 + 2.52434i −0.430051 + 0.179397i
\(199\) −3.60152 18.1061i −0.255305 1.28350i −0.869336 0.494222i \(-0.835453\pi\)
0.614031 0.789282i \(-0.289547\pi\)
\(200\) 10.3638 + 8.37577i 0.732831 + 0.592256i
\(201\) 7.45771 + 1.48343i 0.526026 + 0.104633i
\(202\) −5.48691 3.64638i −0.386057 0.256558i
\(203\) −0.289602 2.94038i −0.0203261 0.206374i
\(204\) −1.51118 + 5.07308i −0.105804 + 0.355187i
\(205\) 4.59263 1.39316i 0.320764 0.0973026i
\(206\) −1.96678 + 20.4954i −0.137032 + 1.42798i
\(207\) −7.85603 + 3.25407i −0.546032 + 0.226174i
\(208\) 6.06025 5.07601i 0.420203 0.351958i
\(209\) −20.6633 8.55904i −1.42931 0.592041i
\(210\) 2.70059 5.08304i 0.186358 0.350763i
\(211\) 7.49992 14.0314i 0.516316 0.965959i −0.479755 0.877402i \(-0.659275\pi\)
0.996071 0.0885565i \(-0.0282254\pi\)
\(212\) 17.8416 + 9.42188i 1.22536 + 0.647097i
\(213\) 8.86268 10.7992i 0.607261 0.739949i
\(214\) 1.23490 6.29059i 0.0844159 0.430016i
\(215\) 23.1851 15.4918i 1.58121 1.05653i
\(216\) 2.60492 1.10200i 0.177242 0.0749818i
\(217\) −0.579012 + 0.866552i −0.0393059 + 0.0588254i
\(218\) 0.0145694 + 5.81484i 0.000986762 + 0.393831i
\(219\) 5.30232 + 9.91994i 0.358298 + 0.670328i
\(220\) −20.3301 + 20.5348i −1.37065 + 1.38446i
\(221\) −5.20547 0.512695i −0.350158 0.0344876i
\(222\) 2.29179 0.231521i 0.153815 0.0155387i
\(223\) −11.1109 11.1109i −0.744040 0.744040i 0.229313 0.973353i \(-0.426352\pi\)
−0.973353 + 0.229313i \(0.926352\pi\)
\(224\) −3.40087 + 6.55891i −0.227230 + 0.438236i
\(225\) −3.33131 + 3.33131i −0.222087 + 0.222087i
\(226\) −15.3651 + 18.8183i −1.02207 + 1.25178i
\(227\) −1.73063 + 17.5714i −0.114866 + 1.16626i 0.749012 + 0.662556i \(0.230528\pi\)
−0.863878 + 0.503700i \(0.831972\pi\)
\(228\) 8.93204 + 3.64744i 0.591539 + 0.241558i
\(229\) 10.5789 5.65453i 0.699072 0.373662i −0.0832563 0.996528i \(-0.526532\pi\)
0.782328 + 0.622866i \(0.214032\pi\)
\(230\) −26.4322 + 26.5650i −1.74289 + 1.75164i
\(231\) 5.03482 + 3.36416i 0.331267 + 0.221345i
\(232\) 1.20109 6.28482i 0.0788555 0.412618i
\(233\) 11.4747 + 17.1731i 0.751732 + 1.12505i 0.988164 + 0.153399i \(0.0490219\pi\)
−0.236432 + 0.971648i \(0.575978\pi\)
\(234\) 1.55859 + 2.31999i 0.101888 + 0.151662i
\(235\) 1.74385 + 1.43114i 0.113756 + 0.0933572i
\(236\) −14.4159 17.3874i −0.938393 1.13182i
\(237\) −7.98422 4.26766i −0.518631 0.277214i
\(238\) 4.67448 1.43079i 0.303002 0.0927443i
\(239\) −0.119482 + 0.288455i −0.00772864 + 0.0186586i −0.927697 0.373335i \(-0.878214\pi\)
0.919968 + 0.391993i \(0.128214\pi\)
\(240\) 8.72538 8.90205i 0.563221 0.574625i
\(241\) 2.05387 + 4.95848i 0.132301 + 0.319404i 0.976122 0.217221i \(-0.0696992\pi\)
−0.843821 + 0.536624i \(0.819699\pi\)
\(242\) −9.44503 11.4502i −0.607150 0.736045i
\(243\) 0.290285 + 0.956940i 0.0186218 + 0.0613878i
\(244\) −1.23777 11.9530i −0.0792402 0.765210i
\(245\) 16.4188 1.61711i 1.04896 0.103313i
\(246\) −0.430256 2.13507i −0.0274321 0.136127i
\(247\) −1.85994 + 9.35057i −0.118345 + 0.594963i
\(248\) −1.73387 + 1.44490i −0.110101 + 0.0917511i
\(249\) 5.56194 1.10634i 0.352473 0.0701113i
\(250\) 0.484153 1.17718i 0.0306205 0.0744515i
\(251\) 13.9088 + 4.21918i 0.877913 + 0.266312i 0.696900 0.717169i \(-0.254562\pi\)
0.181013 + 0.983481i \(0.442062\pi\)
\(252\) −2.17914 1.44031i −0.137273 0.0907312i
\(253\) −25.0104 30.4753i −1.57239 1.91597i
\(254\) −6.14954 11.4360i −0.385856 0.717556i
\(255\) −8.24781 −0.516498
\(256\) −11.0847 + 11.5382i −0.692792 + 0.721137i
\(257\) −27.9795 −1.74531 −0.872657 0.488334i \(-0.837605\pi\)
−0.872657 + 0.488334i \(0.837605\pi\)
\(258\) −5.99319 11.1452i −0.373120 0.693871i
\(259\) −1.34954 1.64442i −0.0838565 0.102179i
\(260\) 10.2757 + 6.79179i 0.637273 + 0.421209i
\(261\) 2.16482 + 0.656691i 0.133999 + 0.0406482i
\(262\) −7.46438 + 18.1491i −0.461151 + 1.12125i
\(263\) 25.8451 5.14092i 1.59368 0.317003i 0.683096 0.730328i \(-0.260633\pi\)
0.910583 + 0.413326i \(0.135633\pi\)
\(264\) 8.39510 + 10.0741i 0.516683 + 0.620017i
\(265\) −6.13322 + 30.8338i −0.376761 + 1.89411i
\(266\) −1.76019 8.73462i −0.107924 0.535554i
\(267\) −11.8074 + 1.16293i −0.722600 + 0.0711699i
\(268\) −1.56643 15.1267i −0.0956849 0.924013i
\(269\) 4.61335 + 15.2082i 0.281281 + 0.927258i 0.977768 + 0.209689i \(0.0672452\pi\)
−0.696487 + 0.717569i \(0.745255\pi\)
\(270\) 2.80435 + 3.39970i 0.170667 + 0.206899i
\(271\) 0.219261 + 0.529343i 0.0133192 + 0.0321553i 0.930399 0.366548i \(-0.119460\pi\)
−0.917080 + 0.398703i \(0.869460\pi\)
\(272\) 10.5862 0.106101i 0.641884 0.00643329i
\(273\) 0.987770 2.38469i 0.0597826 0.144328i
\(274\) 30.6157 9.37101i 1.84956 0.566124i
\(275\) −19.2635 10.2965i −1.16163 0.620904i
\(276\) 10.8546 + 13.0921i 0.653371 + 0.788049i
\(277\) 13.3701 + 10.9726i 0.803333 + 0.659279i 0.943693 0.330822i \(-0.107326\pi\)
−0.140360 + 0.990101i \(0.544826\pi\)
\(278\) −2.60520 3.87788i −0.156249 0.232580i
\(279\) −0.443328 0.663487i −0.0265413 0.0397219i
\(280\) −11.3072 2.16091i −0.675733 0.129139i
\(281\) −11.3432 7.57932i −0.676681 0.452144i 0.169153 0.985590i \(-0.445897\pi\)
−0.845834 + 0.533446i \(0.820897\pi\)
\(282\) 0.722098 0.725726i 0.0430003 0.0432164i
\(283\) 2.72693 1.45758i 0.162099 0.0866439i −0.388352 0.921511i \(-0.626956\pi\)
0.550452 + 0.834867i \(0.314456\pi\)
\(284\) −25.8670 10.5629i −1.53493 0.626795i
\(285\) −1.47349 + 14.9606i −0.0872823 + 0.886192i
\(286\) −8.19545 + 10.0374i −0.484607 + 0.593522i
\(287\) −1.42229 + 1.42229i −0.0839552 + 0.0839552i
\(288\) −3.64317 4.32751i −0.214676 0.255001i
\(289\) 7.06756 + 7.06756i 0.415739 + 0.415739i
\(290\) 9.91935 1.00207i 0.582484 0.0588437i
\(291\) 13.6042 + 1.33990i 0.797494 + 0.0785463i
\(292\) 15.8273 15.9867i 0.926223 0.935553i
\(293\) −11.9320 22.3233i −0.697077 1.30414i −0.942332 0.334680i \(-0.891372\pi\)
0.245255 0.969459i \(-0.421128\pi\)
\(294\) −0.0187594 7.48712i −0.00109407 0.436658i
\(295\) 19.5519 29.2615i 1.13836 1.70367i
\(296\) −1.79493 4.24287i −0.104328 0.246612i
\(297\) −3.85497 + 2.57581i −0.223688 + 0.149464i
\(298\) 3.69525 18.8236i 0.214060 1.09042i
\(299\) −10.6611 + 12.9905i −0.616545 + 0.751262i
\(300\) 8.33193 + 4.39997i 0.481044 + 0.254033i
\(301\) −5.50904 + 10.3067i −0.317536 + 0.594068i
\(302\) 8.18897 15.4132i 0.471222 0.886933i
\(303\) −4.30384 1.78271i −0.247249 0.102414i
\(304\) 1.69880 19.2212i 0.0974330 1.10241i
\(305\) 17.2987 7.16535i 0.990519 0.410287i
\(306\) −0.357542 + 3.72587i −0.0204393 + 0.212994i
\(307\) 2.20165 0.667862i 0.125655 0.0381169i −0.226831 0.973934i \(-0.572837\pi\)
0.352486 + 0.935817i \(0.385337\pi\)
\(308\) 3.45742 11.6066i 0.197005 0.661350i
\(309\) 1.42703 + 14.4889i 0.0811809 + 0.824243i
\(310\) −2.92893 1.94645i −0.166352 0.110551i
\(311\) −25.3452 5.04148i −1.43720 0.285876i −0.585824 0.810438i \(-0.699229\pi\)
−0.851372 + 0.524563i \(0.824229\pi\)
\(312\) 3.51357 4.34753i 0.198917 0.246131i
\(313\) 2.90155 + 14.5871i 0.164005 + 0.824510i 0.971938 + 0.235236i \(0.0755863\pi\)
−0.807933 + 0.589274i \(0.799414\pi\)
\(314\) 12.8720 5.36959i 0.726410 0.303023i
\(315\) 1.18147 3.89478i 0.0665683 0.219446i
\(316\) −3.44336 + 17.7760i −0.193704 + 0.999978i
\(317\) 0.209816 0.172191i 0.0117844 0.00967123i −0.628483 0.777824i \(-0.716324\pi\)
0.640267 + 0.768152i \(0.278824\pi\)
\(318\) 13.6630 + 4.10727i 0.766182 + 0.230324i
\(319\) 10.4885i 0.587241i
\(320\) −22.1607 11.4202i −1.23882 0.638407i
\(321\) 4.53301i 0.253008i
\(322\) 4.52154 15.0411i 0.251975 0.838206i
\(323\) −9.86958 + 8.09976i −0.549158 + 0.450682i
\(324\) 1.65735 1.11946i 0.0920750 0.0621922i
\(325\) −2.70276 + 8.90981i −0.149922 + 0.494227i
\(326\) −7.38819 17.7110i −0.409194 0.980922i
\(327\) 0.802158 + 4.03272i 0.0443594 + 0.223010i
\(328\) −3.82609 + 2.08221i −0.211260 + 0.114971i
\(329\) −0.927307 0.184453i −0.0511241 0.0101692i
\(330\) −11.3092 + 17.0176i −0.622551 + 0.936786i
\(331\) 2.35076 + 23.8677i 0.129210 + 1.31189i 0.813023 + 0.582231i \(0.197820\pi\)
−0.683814 + 0.729657i \(0.739680\pi\)
\(332\) −5.39655 9.97566i −0.296174 0.547485i
\(333\) 1.55866 0.472813i 0.0854138 0.0259100i
\(334\) −19.8530 1.90514i −1.08631 0.104245i
\(335\) 21.8919 9.06791i 1.19608 0.495433i
\(336\) −1.46634 + 5.01423i −0.0799952 + 0.273549i
\(337\) −19.1783 7.94392i −1.04471 0.432733i −0.206709 0.978402i \(-0.566275\pi\)
−0.838001 + 0.545669i \(0.816275\pi\)
\(338\) −11.3577 6.03428i −0.617777 0.328221i
\(339\) −8.09797 + 15.1502i −0.439822 + 0.822848i
\(340\) 4.86747 + 15.7611i 0.263976 + 0.854768i
\(341\) 2.34703 2.85987i 0.127099 0.154871i
\(342\) 6.69444 + 1.31418i 0.361994 + 0.0710627i
\(343\) −13.3509 + 8.92077i −0.720879 + 0.481676i
\(344\) −17.7610 + 18.0301i −0.957610 + 0.972115i
\(345\) −14.7219 + 22.0328i −0.792598 + 1.18621i
\(346\) −17.4052 + 0.0436095i −0.935708 + 0.00234446i
\(347\) −11.0726 20.7155i −0.594410 1.11206i −0.981759 0.190130i \(-0.939109\pi\)
0.387348 0.921933i \(-0.373391\pi\)
\(348\) −0.0226724 4.52441i −0.00121537 0.242534i
\(349\) −18.4427 1.81645i −0.987216 0.0972323i −0.408497 0.912760i \(-0.633947\pi\)
−0.578719 + 0.815527i \(0.696447\pi\)
\(350\) −0.874617 8.65770i −0.0467502 0.462773i
\(351\) 1.39746 + 1.39746i 0.0745908 + 0.0745908i
\(352\) 14.2967 21.9878i 0.762014 1.17196i
\(353\) −4.03513 + 4.03513i −0.214769 + 0.214769i −0.806290 0.591521i \(-0.798528\pi\)
0.591521 + 0.806290i \(0.298528\pi\)
\(354\) −12.3710 10.1009i −0.657511 0.536854i
\(355\) 4.26721 43.3258i 0.226480 2.29949i
\(356\) 9.19045 + 21.8770i 0.487093 + 1.15948i
\(357\) 3.04856 1.62949i 0.161347 0.0862418i
\(358\) 17.0481 + 16.9629i 0.901021 + 0.896517i
\(359\) 8.96302 + 5.98890i 0.473050 + 0.316082i 0.769143 0.639077i \(-0.220684\pi\)
−0.296092 + 0.955159i \(0.595684\pi\)
\(360\) 4.84166 7.36531i 0.255178 0.388186i
\(361\) 2.37301 + 3.55147i 0.124896 + 0.186919i
\(362\) −21.1803 + 14.2291i −1.11321 + 0.747864i
\(363\) −8.11321 6.65834i −0.425833 0.349472i
\(364\) −5.13995 0.480247i −0.269407 0.0251718i
\(365\) 30.9133 + 16.5235i 1.61808 + 0.864879i
\(366\) −2.48698 8.12512i −0.129996 0.424707i
\(367\) −9.24905 + 22.3292i −0.482796 + 1.16557i 0.475479 + 0.879727i \(0.342275\pi\)
−0.958275 + 0.285847i \(0.907725\pi\)
\(368\) 18.6124 28.4689i 0.970236 1.48405i
\(369\) −0.589360 1.42284i −0.0306809 0.0740702i
\(370\) 5.53741 4.56770i 0.287876 0.237463i
\(371\) −3.82476 12.6085i −0.198571 0.654603i
\(372\) −1.00626 + 1.23873i −0.0521720 + 0.0642254i
\(373\) −18.7364 + 1.84538i −0.970135 + 0.0955500i −0.570653 0.821191i \(-0.693310\pi\)
−0.399482 + 0.916741i \(0.630810\pi\)
\(374\) −17.0117 + 3.42818i −0.879656 + 0.177267i
\(375\) 0.175590 0.882750i 0.00906743 0.0455850i
\(376\) −1.81297 0.951603i −0.0934969 0.0490752i
\(377\) 4.38495 0.872221i 0.225837 0.0449217i
\(378\) −1.70821 0.702556i −0.0878610 0.0361356i
\(379\) −6.11174 1.85398i −0.313939 0.0952323i 0.129383 0.991595i \(-0.458700\pi\)
−0.443322 + 0.896362i \(0.646200\pi\)
\(380\) 29.4586 6.01329i 1.51119 0.308475i
\(381\) −5.82465 7.09736i −0.298406 0.363609i
\(382\) 15.8890 8.54412i 0.812954 0.437155i
\(383\) −19.8577 −1.01468 −0.507340 0.861746i \(-0.669371\pi\)
−0.507340 + 0.861746i \(0.669371\pi\)
\(384\) −6.11961 + 9.51579i −0.312290 + 0.485601i
\(385\) 18.8701 0.961707
\(386\) −5.54119 + 2.97970i −0.282039 + 0.151663i
\(387\) −5.67657 6.91691i −0.288556 0.351607i
\(388\) −5.46809 26.7877i −0.277600 1.35994i
\(389\) −8.89293 2.69764i −0.450890 0.136776i 0.0566692 0.998393i \(-0.481952\pi\)
−0.507559 + 0.861617i \(0.669452\pi\)
\(390\) 8.05507 + 3.31290i 0.407884 + 0.167755i
\(391\) −22.0732 + 4.39063i −1.11629 + 0.222043i
\(392\) −14.2964 + 4.45439i −0.722079 + 0.224981i
\(393\) −2.70714 + 13.6097i −0.136557 + 0.686520i
\(394\) 28.5113 5.74555i 1.43638 0.289457i
\(395\) −28.0765 + 2.76529i −1.41268 + 0.139137i
\(396\) 7.19726 + 5.84653i 0.361676 + 0.293799i
\(397\) −3.63333 11.9775i −0.182352 0.601133i −0.999688 0.0249724i \(-0.992050\pi\)
0.817336 0.576161i \(-0.195450\pi\)
\(398\) −20.1398 + 16.6129i −1.00952 + 0.832730i
\(399\) −2.41109 5.82088i −0.120705 0.291408i
\(400\) 3.49100 18.5185i 0.174550 0.925927i
\(401\) 8.54054 20.6187i 0.426494 1.02965i −0.553897 0.832585i \(-0.686860\pi\)
0.980391 0.197063i \(-0.0631402\pi\)
\(402\) −3.14732 10.2825i −0.156974 0.512846i
\(403\) −1.39082 0.743406i −0.0692815 0.0370317i
\(404\) −0.866741 + 9.27649i −0.0431220 + 0.461523i
\(405\) 2.40891 + 1.97694i 0.119700 + 0.0982352i
\(406\) −3.46842 + 2.33012i −0.172135 + 0.115642i
\(407\) 4.19546 + 6.27895i 0.207961 + 0.311236i
\(408\) 7.33094 1.51559i 0.362936 0.0750327i
\(409\) 24.0594 + 16.0760i 1.18966 + 0.794907i 0.983018 0.183508i \(-0.0587455\pi\)
0.206645 + 0.978416i \(0.433745\pi\)
\(410\) −4.81130 4.78725i −0.237613 0.236425i
\(411\) 19.9667 10.6724i 0.984884 0.526432i
\(412\) 26.8453 11.2776i 1.32257 0.555609i
\(413\) −1.44570 + 14.6784i −0.0711383 + 0.722279i
\(414\) 9.31492 + 7.60558i 0.457803 + 0.373794i
\(415\) 12.4961 12.4961i 0.613407 0.613407i
\(416\) −10.3814 4.14855i −0.508992 0.203399i
\(417\) −2.33586 2.33586i −0.114388 0.114388i
\(418\) 3.17915 + 31.4699i 0.155497 + 1.53924i
\(419\) 18.9400 + 1.86543i 0.925282 + 0.0911323i 0.549423 0.835545i \(-0.314848\pi\)
0.375859 + 0.926677i \(0.377348\pi\)
\(420\) −8.13998 + 0.0407905i −0.397190 + 0.00199037i
\(421\) −1.49449 2.79599i −0.0728368 0.136268i 0.842867 0.538122i \(-0.180866\pi\)
−0.915704 + 0.401854i \(0.868366\pi\)
\(422\) −22.5001 + 0.0563750i −1.09529 + 0.00274429i
\(423\) 0.402185 0.601913i 0.0195549 0.0292660i
\(424\) −0.214477 28.5332i −0.0104159 1.38569i
\(425\) −10.3676 + 6.92742i −0.502903 + 0.336029i
\(426\) −19.3870 3.80584i −0.939303 0.184394i
\(427\) −4.97832 + 6.06610i −0.240918 + 0.293559i
\(428\) −8.66235 + 2.67517i −0.418711 + 0.129309i
\(429\) −4.31932 + 8.08087i −0.208539 + 0.390148i
\(430\) −34.8247 18.5022i −1.67940 0.892254i
\(431\) 25.0807 + 10.3888i 1.20809 + 0.500409i 0.893606 0.448853i \(-0.148167\pi\)
0.314488 + 0.949261i \(0.398167\pi\)
\(432\) −3.11732 2.50646i −0.149982 0.120592i
\(433\) −12.3193 + 5.10282i −0.592028 + 0.245226i −0.658523 0.752561i \(-0.728818\pi\)
0.0664951 + 0.997787i \(0.478818\pi\)
\(434\) 1.46714 + 0.140790i 0.0704252 + 0.00675816i
\(435\) 6.74618 2.04643i 0.323455 0.0981189i
\(436\) 7.23292 3.91280i 0.346394 0.187389i
\(437\) 4.02069 + 40.8227i 0.192336 + 1.95282i
\(438\) 8.80441 13.2485i 0.420691 0.633037i
\(439\) −1.91213 0.380346i −0.0912609 0.0181529i 0.149249 0.988800i \(-0.452315\pi\)
−0.240510 + 0.970647i \(0.577315\pi\)
\(440\) 39.1938 + 11.5683i 1.86849 + 0.551498i
\(441\) −1.03285 5.19248i −0.0491833 0.247261i
\(442\) 2.84793 + 6.82708i 0.135462 + 0.324731i
\(443\) −1.63473 + 5.38899i −0.0776685 + 0.256039i −0.987173 0.159656i \(-0.948962\pi\)
0.909504 + 0.415695i \(0.136462\pi\)
\(444\) −1.82337 2.69948i −0.0865331 0.128112i
\(445\) −28.5806 + 23.4555i −1.35485 + 1.11190i
\(446\) −6.39734 + 21.2810i −0.302923 + 1.00768i
\(447\) 13.5644i 0.641573i
\(448\) 10.4473 0.157069i 0.493588 0.00742080i
\(449\) 28.0313i 1.32288i −0.749998 0.661440i \(-0.769946\pi\)
0.749998 0.661440i \(-0.230054\pi\)
\(450\) 6.38055 + 1.91807i 0.300782 + 0.0904189i
\(451\) 5.51952 4.52975i 0.259904 0.213298i
\(452\) 33.7304 + 6.53385i 1.58654 + 0.307326i
\(453\) 3.58256 11.8101i 0.168323 0.554888i
\(454\) 23.0452 9.61337i 1.08157 0.451178i
\(455\) −1.56924 7.88908i −0.0735669 0.369846i
\(456\) −1.43942 13.5683i −0.0674068 0.635394i
\(457\) 24.1870 + 4.81109i 1.13142 + 0.225053i 0.725077 0.688668i \(-0.241804\pi\)
0.406342 + 0.913721i \(0.366804\pi\)
\(458\) −14.1285 9.38925i −0.660182 0.438731i
\(459\) 0.259421 + 2.63394i 0.0121087 + 0.122942i
\(460\) 50.7917 + 15.1300i 2.36818 + 0.705439i
\(461\) 27.6319 8.38204i 1.28694 0.390390i 0.428614 0.903488i \(-0.359002\pi\)
0.858331 + 0.513097i \(0.171502\pi\)
\(462\) 0.818016 8.52436i 0.0380576 0.396589i
\(463\) −15.8815 + 6.57834i −0.738077 + 0.305722i −0.719866 0.694113i \(-0.755797\pi\)
−0.0182107 + 0.999834i \(0.505797\pi\)
\(464\) −8.63252 + 2.71342i −0.400755 + 0.125967i
\(465\) −2.29740 0.951616i −0.106540 0.0441301i
\(466\) 13.7045 25.7945i 0.634847 1.19491i
\(467\) 2.85110 5.33403i 0.131933 0.246829i −0.807277 0.590173i \(-0.799060\pi\)
0.939210 + 0.343344i \(0.111560\pi\)
\(468\) 1.84576 3.49518i 0.0853201 0.161565i
\(469\) −6.30017 + 7.67678i −0.290915 + 0.354481i
\(470\) 0.614564 3.13060i 0.0283477 0.144404i
\(471\) 8.20002 5.47908i 0.377837 0.252463i
\(472\) −12.0014 + 29.6014i −0.552410 + 1.36251i
\(473\) 23.0484 34.4944i 1.05977 1.58605i
\(474\) 0.0320789 + 12.8031i 0.00147343 + 0.588068i
\(475\) 10.7134 + 20.0433i 0.491564 + 0.919651i
\(476\) −4.91299 4.86400i −0.225187 0.222941i
\(477\) 10.0397 + 0.988824i 0.459686 + 0.0452752i
\(478\) 0.439311 0.0443800i 0.0200936 0.00202990i
\(479\) −26.8634 26.8634i −1.22742 1.22742i −0.964936 0.262484i \(-0.915458\pi\)
−0.262484 0.964936i \(-0.584542\pi\)
\(480\) −16.9320 4.90550i −0.772838 0.223905i
\(481\) 2.27617 2.27617i 0.103784 0.103784i
\(482\) 4.80040 5.87928i 0.218652 0.267794i
\(483\) 1.08856 11.0523i 0.0495312 0.502899i
\(484\) −7.93570 + 19.4334i −0.360714 + 0.883334i
\(485\) 37.5695 20.0813i 1.70594 0.911846i
\(486\) 0.997491 1.00250i 0.0452471 0.0454744i
\(487\) −22.8109 15.2418i −1.03366 0.690671i −0.0816284 0.996663i \(-0.526012\pi\)
−0.952034 + 0.305992i \(0.901012\pi\)
\(488\) −14.0590 + 9.54754i −0.636420 + 0.432197i
\(489\) −7.53884 11.2827i −0.340918 0.510220i
\(490\) −13.0111 19.3673i −0.587783 0.874927i
\(491\) 11.2668 + 9.24641i 0.508463 + 0.417285i 0.853333 0.521366i \(-0.174577\pi\)
−0.344871 + 0.938650i \(0.612077\pi\)
\(492\) −2.37116 + 1.96593i −0.106900 + 0.0886309i
\(493\) 5.28044 + 2.82245i 0.237819 + 0.127117i
\(494\) 12.8924 3.94616i 0.580055 0.177546i
\(495\) −5.52905 + 13.3483i −0.248512 + 0.599962i
\(496\) 2.96100 + 1.19186i 0.132953 + 0.0535162i
\(497\) 6.98246 + 16.8572i 0.313206 + 0.756147i
\(498\) −5.10327 6.18667i −0.228683 0.277231i
\(499\) −6.55769 21.6178i −0.293562 0.967745i −0.972373 0.233432i \(-0.925004\pi\)
0.678811 0.734313i \(-0.262496\pi\)
\(500\) −1.79051 + 0.185414i −0.0800742 + 0.00829198i
\(501\) −14.0348 + 1.38231i −0.627028 + 0.0617569i
\(502\) −4.06059 20.1500i −0.181233 0.899338i
\(503\) 0.763754 3.83965i 0.0340541 0.171202i −0.960016 0.279947i \(-0.909683\pi\)
0.994070 + 0.108745i \(0.0346832\pi\)
\(504\) −0.334441 + 3.67892i −0.0148972 + 0.163872i
\(505\) −14.2381 + 2.83213i −0.633586 + 0.126028i
\(506\) −21.2071 + 51.5635i −0.942770 + 2.29228i
\(507\) −8.70263 2.63991i −0.386497 0.117243i
\(508\) −10.1252 + 15.3191i −0.449235 + 0.679676i
\(509\) 17.3957 + 21.1967i 0.771052 + 0.939529i 0.999420 0.0340454i \(-0.0108391\pi\)
−0.228368 + 0.973575i \(0.573339\pi\)
\(510\) 5.52421 + 10.2731i 0.244616 + 0.454899i
\(511\) −14.6907 −0.649878
\(512\) 21.7957 + 6.07849i 0.963242 + 0.268634i
\(513\) 4.82403 0.212986
\(514\) 18.7401 + 34.8499i 0.826589 + 1.53716i
\(515\) 28.7823 + 35.0713i 1.26830 + 1.54543i
\(516\) −9.86782 + 14.9297i −0.434407 + 0.657241i
\(517\) 3.21179 + 0.974285i 0.141254 + 0.0428490i
\(518\) −1.14432 + 2.78232i −0.0502784 + 0.122248i
\(519\) −12.0709 + 2.40104i −0.529852 + 0.105394i
\(520\) 1.57705 17.3479i 0.0691584 0.760757i
\(521\) 4.40081 22.1244i 0.192803 0.969287i −0.756277 0.654252i \(-0.772984\pi\)
0.949080 0.315035i \(-0.102016\pi\)
\(522\) −0.632008 3.13623i −0.0276623 0.137269i
\(523\) −1.57777 + 0.155397i −0.0689913 + 0.00679505i −0.132454 0.991189i \(-0.542286\pi\)
0.0634626 + 0.997984i \(0.479786\pi\)
\(524\) 27.6051 2.85861i 1.20593 0.124879i
\(525\) −1.78614 5.88813i −0.0779537 0.256979i
\(526\) −23.7138 28.7482i −1.03397 1.25348i
\(527\) −0.808218 1.95121i −0.0352065 0.0849961i
\(528\) 6.92492 17.2039i 0.301369 0.748705i
\(529\) −18.8687 + 45.5530i −0.820377 + 1.98057i
\(530\) 42.5130 13.0126i 1.84665 0.565230i
\(531\) −9.95964 5.32354i −0.432212 0.231022i
\(532\) −9.70048 + 8.04266i −0.420569 + 0.348694i
\(533\) −2.35277 1.93087i −0.101910 0.0836353i
\(534\) 9.35682 + 13.9278i 0.404909 + 0.602715i
\(535\) −7.84805 11.7454i −0.339301 0.507800i
\(536\) −17.7920 + 12.0826i −0.768496 + 0.521890i
\(537\) 14.1396 + 9.44778i 0.610169 + 0.407702i
\(538\) 15.8526 15.9323i 0.683455 0.686888i
\(539\) 21.6474 11.5708i 0.932420 0.498389i
\(540\) 2.35621 5.77001i 0.101395 0.248302i
\(541\) −2.65908 + 26.9980i −0.114323 + 1.16074i 0.751273 + 0.659992i \(0.229440\pi\)
−0.865595 + 0.500745i \(0.833060\pi\)
\(542\) 0.512468 0.627644i 0.0220124 0.0269596i
\(543\) −12.7580 + 12.7580i −0.547500 + 0.547500i
\(544\) −7.22258 13.1146i −0.309666 0.562284i
\(545\) 9.06035 + 9.06035i 0.388103 + 0.388103i
\(546\) −3.63184 + 0.366895i −0.155428 + 0.0157017i
\(547\) 33.0554 + 3.25567i 1.41335 + 0.139202i 0.775688 0.631117i \(-0.217403\pi\)
0.637659 + 0.770319i \(0.279903\pi\)
\(548\) −32.1778 31.8569i −1.37457 1.36086i
\(549\) −2.83236 5.29897i −0.120882 0.226154i
\(550\) 0.0773965 + 30.8900i 0.00330020 + 1.31715i
\(551\) 6.06299 9.07390i 0.258292 0.386561i
\(552\) 9.03663 22.2888i 0.384625 0.948673i
\(553\) 9.83132 6.56908i 0.418070 0.279346i
\(554\) 4.71188 24.0024i 0.200189 1.01976i
\(555\) 3.22003 3.92362i 0.136683 0.166548i
\(556\) −3.08520 + 5.84223i −0.130841 + 0.247766i
\(557\) −18.3561 + 34.3418i −0.777772 + 1.45511i 0.109561 + 0.993980i \(0.465056\pi\)
−0.887333 + 0.461129i \(0.847444\pi\)
\(558\) −0.529475 + 0.996576i −0.0224145 + 0.0421884i
\(559\) −16.3379 6.76738i −0.691019 0.286230i
\(560\) 4.88178 + 15.5310i 0.206293 + 0.656304i
\(561\) −11.3369 + 4.69588i −0.478643 + 0.198260i
\(562\) −1.84296 + 19.2051i −0.0777405 + 0.810116i
\(563\) −9.55502 + 2.89848i −0.402696 + 0.122156i −0.485134 0.874440i \(-0.661229\pi\)
0.0824383 + 0.996596i \(0.473729\pi\)
\(564\) −1.38757 0.413334i −0.0584274 0.0174045i
\(565\) 5.24720 + 53.2757i 0.220751 + 2.24133i
\(566\) −3.64193 2.42028i −0.153082 0.101732i
\(567\) −1.28096 0.254799i −0.0537954 0.0107006i
\(568\) 4.16852 + 39.2935i 0.174907 + 1.64872i
\(569\) −5.26810 26.4845i −0.220850 1.11029i −0.918976 0.394314i \(-0.870982\pi\)
0.698126 0.715975i \(-0.254018\pi\)
\(570\) 19.6212 8.18500i 0.821840 0.342832i
\(571\) −2.40099 + 7.91499i −0.100478 + 0.331232i −0.992739 0.120288i \(-0.961618\pi\)
0.892261 + 0.451520i \(0.149118\pi\)
\(572\) 17.9912 + 3.48504i 0.752249 + 0.145717i
\(573\) 9.86102 8.09273i 0.411950 0.338078i
\(574\) 2.72416 + 0.818916i 0.113704 + 0.0341809i
\(575\) 40.0606i 1.67064i
\(576\) −2.95001 + 7.43622i −0.122917 + 0.309843i
\(577\) 17.5111i 0.728997i −0.931204 0.364499i \(-0.881240\pi\)
0.931204 0.364499i \(-0.118760\pi\)
\(578\) 4.06930 13.5367i 0.169261 0.563053i
\(579\) −3.43896 + 2.82228i −0.142918 + 0.117290i
\(580\) −7.89190 11.6839i −0.327693 0.485147i
\(581\) −2.15000 + 7.08761i −0.0891971 + 0.294043i
\(582\) −7.44290 17.8422i −0.308518 0.739582i
\(583\) 9.12489 + 45.8739i 0.377914 + 1.89990i
\(584\) −30.5131 9.00615i −1.26264 0.372677i
\(585\) 6.04037 + 1.20150i 0.249739 + 0.0496761i
\(586\) −19.8129 + 29.8136i −0.818465 + 1.23159i
\(587\) 4.12112 + 41.8424i 0.170097 + 1.72702i 0.579762 + 0.814786i \(0.303146\pi\)
−0.409665 + 0.912236i \(0.634354\pi\)
\(588\) −9.31303 + 5.03808i −0.384063 + 0.207767i
\(589\) −3.68367 + 1.11743i −0.151783 + 0.0460429i
\(590\) −49.5421 4.75417i −2.03962 0.195726i
\(591\) 19.0003 7.87020i 0.781569 0.323737i
\(592\) −4.08250 + 5.07746i −0.167790 + 0.208682i
\(593\) −21.5415 8.92279i −0.884604 0.366415i −0.106323 0.994332i \(-0.533908\pi\)
−0.778281 + 0.627917i \(0.783908\pi\)
\(594\) 5.79028 + 3.07634i 0.237578 + 0.126224i
\(595\) 5.07795 9.50017i 0.208175 0.389469i
\(596\) −25.9208 + 8.00505i −1.06176 + 0.327900i
\(597\) −11.7114 + 14.2704i −0.479315 + 0.584047i
\(598\) 23.3209 + 4.57810i 0.953663 + 0.187213i
\(599\) 1.70672 1.14040i 0.0697348 0.0465953i −0.520214 0.854036i \(-0.674148\pi\)
0.589949 + 0.807441i \(0.299148\pi\)
\(600\) −0.100160 13.3249i −0.00408901 0.543985i
\(601\) 25.7674 38.5636i 1.05107 1.57304i 0.255856 0.966715i \(-0.417643\pi\)
0.795216 0.606326i \(-0.207357\pi\)
\(602\) 16.5274 0.0414101i 0.673605 0.00168775i
\(603\) −3.58441 6.70596i −0.145969 0.273088i
\(604\) −24.6828 + 0.123689i −1.00433 + 0.00503282i
\(605\) −32.5497 3.20587i −1.32333 0.130337i
\(606\) 0.662166 + 6.55468i 0.0268986 + 0.266266i
\(607\) −5.82004 5.82004i −0.236228 0.236228i 0.579058 0.815286i \(-0.303420\pi\)
−0.815286 + 0.579058i \(0.803420\pi\)
\(608\) −25.0788 + 10.7580i −1.01708 + 0.436295i
\(609\) −2.08922 + 2.08922i −0.0846596 + 0.0846596i
\(610\) −20.5111 16.7472i −0.830470 0.678074i
\(611\) 0.140231 1.42379i 0.00567313 0.0576002i
\(612\) 4.88023 2.05017i 0.197272 0.0828732i
\(613\) −2.56847 + 1.37288i −0.103740 + 0.0554500i −0.522451 0.852670i \(-0.674982\pi\)
0.418711 + 0.908120i \(0.362482\pi\)
\(614\) −2.30647 2.29494i −0.0930816 0.0926163i
\(615\) −3.99046 2.66634i −0.160911 0.107517i
\(616\) −16.7724 + 3.46749i −0.675778 + 0.139709i
\(617\) −3.95824 5.92392i −0.159353 0.238488i 0.743198 0.669071i \(-0.233308\pi\)
−0.902551 + 0.430583i \(0.858308\pi\)
\(618\) 17.0908 11.4818i 0.687494 0.461865i
\(619\) 9.02508 + 7.40669i 0.362749 + 0.297700i 0.798058 0.602581i \(-0.205861\pi\)
−0.435309 + 0.900281i \(0.643361\pi\)
\(620\) −0.462669 + 4.95182i −0.0185812 + 0.198870i
\(621\) 7.49925 + 4.00843i 0.300934 + 0.160853i
\(622\) 10.6963 + 34.9454i 0.428881 + 1.40118i
\(623\) 5.92997 14.3162i 0.237579 0.573567i
\(624\) −7.76839 1.46445i −0.310984 0.0586249i
\(625\) −10.0878 24.3541i −0.403512 0.974164i
\(626\) 16.2255 13.3841i 0.648503 0.534938i
\(627\) 6.49246 + 21.4028i 0.259284 + 0.854745i
\(628\) −15.3095 12.4363i −0.610915 0.496263i
\(629\) 4.29015 0.422543i 0.171059 0.0168479i
\(630\) −5.64248 + 1.13706i −0.224802 + 0.0453016i
\(631\) −7.49085 + 37.6590i −0.298206 + 1.49918i 0.483394 + 0.875403i \(0.339404\pi\)
−0.781600 + 0.623780i \(0.785596\pi\)
\(632\) 24.4472 7.61711i 0.972457 0.302992i
\(633\) −15.6043 + 3.10389i −0.620215 + 0.123368i
\(634\) −0.355003 0.146006i −0.0140990 0.00579864i
\(635\) −27.3799 8.30561i −1.08654 0.329598i
\(636\) −4.03537 19.7689i −0.160013 0.783888i
\(637\) −6.63764 8.08799i −0.262993 0.320458i
\(638\) 13.0639 7.02495i 0.517205 0.278120i
\(639\) −13.9703 −0.552657
\(640\) 0.618328 + 35.2512i 0.0244416 + 1.39343i
\(641\) −3.87653 −0.153114 −0.0765568 0.997065i \(-0.524393\pi\)
−0.0765568 + 0.997065i \(0.524393\pi\)
\(642\) −5.64610 + 3.03612i −0.222834 + 0.119826i
\(643\) −5.31682 6.47856i −0.209675 0.255490i 0.657545 0.753416i \(-0.271595\pi\)
−0.867219 + 0.497926i \(0.834095\pi\)
\(644\) −21.7629 + 4.44238i −0.857576 + 0.175054i
\(645\) −26.6838 8.09445i −1.05067 0.318719i
\(646\) 16.6991 + 6.86802i 0.657017 + 0.270219i
\(647\) 40.8052 8.11666i 1.60422 0.319099i 0.689841 0.723961i \(-0.257680\pi\)
0.914378 + 0.404862i \(0.132680\pi\)
\(648\) −2.50440 1.31452i −0.0983822 0.0516394i
\(649\) 10.2147 51.3526i 0.400961 2.01577i
\(650\) 12.9079 2.60117i 0.506288 0.102026i
\(651\) 1.03718 0.102153i 0.0406501 0.00400369i
\(652\) −17.1115 + 21.0648i −0.670139 + 0.824962i
\(653\) 6.39646 + 21.0863i 0.250313 + 0.825171i 0.988584 + 0.150668i \(0.0481423\pi\)
−0.738272 + 0.674504i \(0.764358\pi\)
\(654\) 4.48569 3.70016i 0.175404 0.144688i
\(655\) 16.5482 + 39.9509i 0.646592 + 1.56101i
\(656\) 5.15614 + 3.37097i 0.201313 + 0.131614i
\(657\) 4.30446 10.3919i 0.167933 0.405426i
\(658\) 0.391345 + 1.27855i 0.0152562 + 0.0498431i
\(659\) 32.1305 + 17.1741i 1.25163 + 0.669009i 0.957961 0.286898i \(-0.0926242\pi\)
0.293667 + 0.955908i \(0.405124\pi\)
\(660\) 28.7709 + 2.68818i 1.11991 + 0.104637i
\(661\) 19.1801 + 15.7407i 0.746019 + 0.612242i 0.928658 0.370938i \(-0.120964\pi\)
−0.182638 + 0.983180i \(0.558464\pi\)
\(662\) 28.1540 18.9141i 1.09423 0.735116i
\(663\) 2.90600 + 4.34914i 0.112860 + 0.168906i
\(664\) −8.81070 + 13.4032i −0.341921 + 0.520143i
\(665\) −16.3251 10.9081i −0.633060 0.422997i
\(666\) −1.63287 1.62471i −0.0632723 0.0629561i
\(667\) 16.9650 9.06800i 0.656889 0.351114i
\(668\) 10.9242 + 26.0040i 0.422669 + 1.00612i
\(669\) −1.54016 + 15.6375i −0.0595460 + 0.604581i
\(670\) −25.9572 21.1939i −1.00282 0.818793i
\(671\) 19.6980 19.6980i 0.760431 0.760431i
\(672\) 7.22759 1.53203i 0.278811 0.0590992i
\(673\) −2.97514 2.97514i −0.114683 0.114683i 0.647436 0.762120i \(-0.275841\pi\)
−0.762120 + 0.647436i \(0.775841\pi\)
\(674\) 2.95067 + 29.2082i 0.113656 + 1.12506i
\(675\) 4.68849 + 0.461776i 0.180460 + 0.0177738i
\(676\) 0.0911435 + 18.1882i 0.00350552 + 0.699547i
\(677\) −21.5576 40.3315i −0.828527 1.55006i −0.835108 0.550087i \(-0.814595\pi\)
0.00658058 0.999978i \(-0.497905\pi\)
\(678\) 24.2942 0.0608704i 0.933015 0.00233771i
\(679\) −9.91908 + 14.8450i −0.380659 + 0.569697i
\(680\) 16.3712 16.6192i 0.627806 0.637315i
\(681\) 14.6808 9.80940i 0.562570 0.375897i
\(682\) −5.13410 1.00787i −0.196595 0.0385934i
\(683\) 27.8469 33.9316i 1.06553 1.29836i 0.113109 0.993583i \(-0.463919\pi\)
0.952425 0.304774i \(-0.0985808\pi\)
\(684\) −2.84692 9.21848i −0.108855 0.352477i
\(685\) 33.2582 62.2217i 1.27073 2.37737i
\(686\) 20.0534 + 10.6543i 0.765642 + 0.406781i
\(687\) −11.0822 4.59039i −0.422811 0.175134i
\(688\) 34.3533 + 10.0461i 1.30971 + 0.383004i
\(689\) 18.4199 7.62976i 0.701741 0.290671i
\(690\) 37.3034 + 3.57971i 1.42012 + 0.136277i
\(691\) 17.4684 5.29899i 0.664530 0.201583i 0.0600403 0.998196i \(-0.480877\pi\)
0.604490 + 0.796613i \(0.293377\pi\)
\(692\) 11.7119 + 21.6498i 0.445221 + 0.823002i
\(693\) −0.593526 6.02617i −0.0225462 0.228915i
\(694\) −18.3859 + 27.6663i −0.697920 + 1.05020i
\(695\) −10.0965 2.00833i −0.382983 0.0761801i
\(696\) −5.62019 + 3.05859i −0.213033 + 0.115936i
\(697\) −0.795206 3.99777i −0.0301206 0.151426i
\(698\) 10.0901 + 24.1880i 0.381914 + 0.915528i
\(699\) 5.99551 19.7646i 0.226771 0.747564i
\(700\) −10.1978 + 6.88812i −0.385441 + 0.260346i
\(701\) 18.0596 14.8211i 0.682100 0.559785i −0.228261 0.973600i \(-0.573304\pi\)
0.910361 + 0.413815i \(0.135804\pi\)
\(702\) 0.804618 2.67659i 0.0303683 0.101021i
\(703\) 7.85735i 0.296345i
\(704\) −36.9626 3.08022i −1.39308 0.116090i
\(705\) 2.25592i 0.0849628i
\(706\) 7.72861 + 2.32332i 0.290870 + 0.0874392i
\(707\) 4.70315 3.85978i 0.176880 0.145162i
\(708\) −4.29529 + 22.1740i −0.161427 + 0.833352i
\(709\) 1.66181 5.47824i 0.0624105 0.205740i −0.920190 0.391472i \(-0.871966\pi\)
0.982600 + 0.185733i \(0.0594658\pi\)
\(710\) −56.8225 + 23.7036i −2.13251 + 0.889581i
\(711\) 1.76620 + 8.87926i 0.0662375 + 0.332998i
\(712\) 21.0933 26.0999i 0.790506 0.978136i
\(713\) −6.65499 1.32376i −0.249231 0.0495752i
\(714\) −4.07148 2.70574i −0.152371 0.101260i
\(715\) 2.79877 + 28.4163i 0.104668 + 1.06271i
\(716\) 9.70969 32.5957i 0.362868 1.21816i
\(717\) 0.298777 0.0906330i 0.0111580 0.00338475i
\(718\) 1.45624 15.1751i 0.0543464 0.566331i
\(719\) 0.817078 0.338445i 0.0304719 0.0126219i −0.367395 0.930065i \(-0.619750\pi\)
0.397867 + 0.917443i \(0.369750\pi\)
\(720\) −12.4167 1.09741i −0.462743 0.0408980i
\(721\) −17.5675 7.27668i −0.654246 0.270998i
\(722\) 2.83414 5.33441i 0.105476 0.198526i
\(723\) 2.52999 4.73329i 0.0940915 0.176033i
\(724\) 31.9091 + 16.8508i 1.18589 + 0.626253i
\(725\) 6.76122 8.23858i 0.251106 0.305973i
\(726\) −2.85925 + 14.5650i −0.106117 + 0.540559i
\(727\) −14.0634 + 9.39686i −0.521583 + 0.348510i −0.788327 0.615257i \(-0.789052\pi\)
0.266744 + 0.963767i \(0.414052\pi\)
\(728\) 2.84446 + 6.72373i 0.105423 + 0.249198i
\(729\) 0.555570 0.831470i 0.0205767 0.0307952i
\(730\) −0.124203 49.5712i −0.00459696 1.83471i
\(731\) −11.1639 20.8862i −0.412912 0.772505i
\(732\) −8.45453 + 8.53969i −0.312488 + 0.315636i
\(733\) −0.357380 0.0351989i −0.0132001 0.00130010i 0.0914149 0.995813i \(-0.470861\pi\)
−0.104615 + 0.994513i \(0.533361\pi\)
\(734\) 34.0069 3.43545i 1.25522 0.126805i
\(735\) −11.6660 11.6660i −0.430307 0.430307i
\(736\) −47.9256 4.11476i −1.76656 0.151672i
\(737\) 24.9282 24.9282i 0.918243 0.918243i
\(738\) −1.37748 + 1.68707i −0.0507057 + 0.0621018i
\(739\) −1.93463 + 19.6426i −0.0711664 + 0.722565i 0.891707 + 0.452613i \(0.149508\pi\)
−0.962874 + 0.269952i \(0.912992\pi\)
\(740\) −9.39814 3.83778i −0.345483 0.141079i
\(741\) 8.40803 4.49418i 0.308877 0.165098i
\(742\) −13.1428 + 13.2089i −0.482488 + 0.484912i
\(743\) −4.35601 2.91059i −0.159806 0.106779i 0.473096 0.881011i \(-0.343136\pi\)
−0.632902 + 0.774232i \(0.718136\pi\)
\(744\) 2.21688 + 0.423667i 0.0812746 + 0.0155324i
\(745\) −23.4841 35.1465i −0.860392 1.28767i
\(746\) 14.8478 + 22.1012i 0.543615 + 0.809181i
\(747\) −4.38367 3.59758i −0.160390 0.131629i
\(748\) 15.6641 + 18.8929i 0.572735 + 0.690792i
\(749\) 5.22131 + 2.79085i 0.190783 + 0.101975i
\(750\) −1.21712 + 0.372541i −0.0444428 + 0.0136033i
\(751\) 7.98760 19.2838i 0.291472 0.703675i −0.708526 0.705684i \(-0.750640\pi\)
0.999998 + 0.00200966i \(0.000639696\pi\)
\(752\) 0.0290203 + 2.89551i 0.00105826 + 0.105588i
\(753\) −5.56216 13.4282i −0.202696 0.489352i
\(754\) −4.02334 4.87749i −0.146521 0.177628i
\(755\) −11.1643 36.8036i −0.406309 1.33942i
\(756\) 0.269055 + 2.59822i 0.00978545 + 0.0944965i
\(757\) −10.5319 + 1.03730i −0.382788 + 0.0377013i −0.287581 0.957756i \(-0.592851\pi\)
−0.0952066 + 0.995458i \(0.530351\pi\)
\(758\) 1.78429 + 8.85423i 0.0648083 + 0.321600i
\(759\) −7.69127 + 38.6666i −0.279176 + 1.40351i
\(760\) −27.2206 32.6646i −0.987394 1.18487i
\(761\) −28.3683 + 5.64280i −1.02835 + 0.204551i −0.680307 0.732928i \(-0.738153\pi\)
−0.348042 + 0.937479i \(0.613153\pi\)
\(762\) −4.93889 + 12.0086i −0.178917 + 0.435024i
\(763\) −5.13892 1.55887i −0.186041 0.0564350i
\(764\) −21.2843 14.0679i −0.770038 0.508960i
\(765\) 5.23236 + 6.37565i 0.189176 + 0.230512i
\(766\) 13.3002 + 24.7338i 0.480558 + 0.893667i
\(767\) −22.3186 −0.805879
\(768\) 15.9512 + 1.24882i 0.575589 + 0.0450627i
\(769\) 35.2249 1.27024 0.635121 0.772412i \(-0.280950\pi\)
0.635121 + 0.772412i \(0.280950\pi\)
\(770\) −12.6388 23.5036i −0.455469 0.847012i
\(771\) 17.7500 + 21.6285i 0.639251 + 0.778930i
\(772\) 7.42274 + 4.90609i 0.267150 + 0.176574i
\(773\) −5.94641 1.80382i −0.213877 0.0648790i 0.181528