Properties

Label 384.2.v.a.349.23
Level $384$
Weight $2$
Character 384.349
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 349.23
Character \(\chi\) \(=\) 384.349
Dual form 384.2.v.a.373.23

$q$-expansion

\(f(q)\) \(=\) \(q+(0.946267 + 1.05099i) q^{2} +(0.995185 + 0.0980171i) q^{3} +(-0.209157 + 1.98903i) q^{4} +(0.250132 + 0.467964i) q^{5} +(0.838696 + 1.13868i) q^{6} +(0.134631 + 0.676836i) q^{7} +(-2.28837 + 1.66234i) q^{8} +(0.980785 + 0.195090i) q^{9} +O(q^{10})\) \(q+(0.946267 + 1.05099i) q^{2} +(0.995185 + 0.0980171i) q^{3} +(-0.209157 + 1.98903i) q^{4} +(0.250132 + 0.467964i) q^{5} +(0.838696 + 1.13868i) q^{6} +(0.134631 + 0.676836i) q^{7} +(-2.28837 + 1.66234i) q^{8} +(0.980785 + 0.195090i) q^{9} +(-0.255133 + 0.705705i) q^{10} +(0.842488 + 0.691412i) q^{11} +(-0.403109 + 1.95895i) q^{12} +(-0.235418 - 0.125834i) q^{13} +(-0.583950 + 0.781963i) q^{14} +(0.203059 + 0.490228i) q^{15} +(-3.91251 - 0.832039i) q^{16} +(0.140564 - 0.339350i) q^{17} +(0.723047 + 1.21540i) q^{18} +(1.45755 - 0.442142i) q^{19} +(-0.983113 + 0.399643i) q^{20} +(0.0676412 + 0.686773i) q^{21} +(0.0705522 + 1.53971i) q^{22} +(-1.18340 + 0.790720i) q^{23} +(-2.44029 + 1.43003i) q^{24} +(2.62143 - 3.92324i) q^{25} +(-0.0905188 - 0.366495i) q^{26} +(0.956940 + 0.290285i) q^{27} +(-1.37441 + 0.126221i) q^{28} +(-0.269295 - 0.328137i) q^{29} +(-0.323076 + 0.677299i) q^{30} +(-0.349553 + 0.349553i) q^{31} +(-2.82781 - 4.89933i) q^{32} +(0.770661 + 0.770661i) q^{33} +(0.489664 - 0.173385i) q^{34} +(-0.283059 + 0.232301i) q^{35} +(-0.593179 + 1.91001i) q^{36} +(1.19722 - 3.94671i) q^{37} +(1.84391 + 1.11348i) q^{38} +(-0.221951 - 0.148303i) q^{39} +(-1.35031 - 0.655072i) q^{40} +(-3.34101 - 5.00017i) q^{41} +(-0.657784 + 0.720961i) q^{42} +(3.57876 - 0.352477i) q^{43} +(-1.55145 + 1.53112i) q^{44} +(0.154031 + 0.507771i) q^{45} +(-1.95085 - 0.495504i) q^{46} +(-0.509378 - 0.210991i) q^{47} +(-3.81211 - 1.21153i) q^{48} +(6.02718 - 2.49654i) q^{49} +(6.60386 - 0.957344i) q^{50} +(0.173149 - 0.323939i) q^{51} +(0.299527 - 0.441936i) q^{52} +(-3.73925 + 4.55629i) q^{53} +(0.600435 + 1.28042i) q^{54} +(-0.112823 + 0.567199i) q^{55} +(-1.43321 - 1.32505i) q^{56} +(1.49386 - 0.297148i) q^{57} +(0.0900433 - 0.593531i) q^{58} +(-0.179198 + 0.0957832i) q^{59} +(-1.01755 + 0.301357i) q^{60} +(0.753355 - 7.64895i) q^{61} +(-0.698146 - 0.0366059i) q^{62} +0.690096i q^{63} +(2.47328 - 7.60808i) q^{64} -0.141642i q^{65} +(-0.0807052 + 1.53921i) q^{66} +(-0.177212 + 1.79927i) q^{67} +(0.645579 + 0.350563i) q^{68} +(-1.25520 + 0.670920i) q^{69} +(-0.511995 - 0.0776737i) q^{70} +(-10.7093 + 2.13021i) q^{71} +(-2.56871 + 1.18396i) q^{72} +(2.58447 - 12.9930i) q^{73} +(5.28084 - 2.47637i) q^{74} +(2.99335 - 3.64741i) q^{75} +(0.574579 + 2.99158i) q^{76} +(-0.354548 + 0.663312i) q^{77} +(-0.0541602 - 0.373602i) q^{78} +(0.435730 - 0.180485i) q^{79} +(-0.589279 - 2.03903i) q^{80} +(0.923880 + 0.382683i) q^{81} +(2.09364 - 8.24286i) q^{82} +(3.49762 + 11.5301i) q^{83} +(-1.38016 - 0.00910253i) q^{84} +(0.193963 - 0.0191037i) q^{85} +(3.75691 + 3.42770i) q^{86} +(-0.235835 - 0.352952i) q^{87} +(-3.07729 - 0.181709i) q^{88} +(-2.58591 - 1.72785i) q^{89} +(-0.387907 + 0.642371i) q^{90} +(0.0534742 - 0.176281i) q^{91} +(-1.32525 - 2.51920i) q^{92} +(-0.382132 + 0.313607i) q^{93} +(-0.260258 - 0.735005i) q^{94} +(0.571485 + 0.571485i) q^{95} +(-2.33398 - 5.15292i) q^{96} +(6.33077 - 6.33077i) q^{97} +(8.32715 + 3.97210i) q^{98} +(0.691412 + 0.842488i) 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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.946267 + 1.05099i 0.669112 + 0.743162i
\(3\) 0.995185 + 0.0980171i 0.574570 + 0.0565902i
\(4\) −0.209157 + 1.98903i −0.104578 + 0.994517i
\(5\) 0.250132 + 0.467964i 0.111862 + 0.209280i 0.931623 0.363427i \(-0.118393\pi\)
−0.819760 + 0.572707i \(0.805893\pi\)
\(6\) 0.838696 + 1.13868i 0.342396 + 0.464864i
\(7\) 0.134631 + 0.676836i 0.0508857 + 0.255820i 0.997852 0.0655142i \(-0.0208688\pi\)
−0.946966 + 0.321334i \(0.895869\pi\)
\(8\) −2.28837 + 1.66234i −0.809061 + 0.587724i
\(9\) 0.980785 + 0.195090i 0.326928 + 0.0650301i
\(10\) −0.255133 + 0.705705i −0.0806803 + 0.223164i
\(11\) 0.842488 + 0.691412i 0.254020 + 0.208469i 0.752781 0.658271i \(-0.228712\pi\)
−0.498762 + 0.866739i \(0.666212\pi\)
\(12\) −0.403109 + 1.95895i −0.116368 + 0.565501i
\(13\) −0.235418 0.125834i −0.0652933 0.0349000i 0.438427 0.898767i \(-0.355536\pi\)
−0.503720 + 0.863867i \(0.668036\pi\)
\(14\) −0.583950 + 0.781963i −0.156067 + 0.208988i
\(15\) 0.203059 + 0.490228i 0.0524296 + 0.126576i
\(16\) −3.91251 0.832039i −0.978127 0.208010i
\(17\) 0.140564 0.339350i 0.0340917 0.0823046i −0.905917 0.423456i \(-0.860817\pi\)
0.940008 + 0.341151i \(0.110817\pi\)
\(18\) 0.723047 + 1.21540i 0.170424 + 0.286473i
\(19\) 1.45755 0.442142i 0.334384 0.101434i −0.118628 0.992939i \(-0.537850\pi\)
0.453012 + 0.891505i \(0.350350\pi\)
\(20\) −0.983113 + 0.399643i −0.219831 + 0.0893629i
\(21\) 0.0676412 + 0.686773i 0.0147605 + 0.149866i
\(22\) 0.0705522 + 1.53971i 0.0150418 + 0.328267i
\(23\) −1.18340 + 0.790720i −0.246755 + 0.164877i −0.672798 0.739827i \(-0.734907\pi\)
0.426042 + 0.904703i \(0.359907\pi\)
\(24\) −2.44029 + 1.43003i −0.498122 + 0.291904i
\(25\) 2.62143 3.92324i 0.524285 0.784649i
\(26\) −0.0905188 0.366495i −0.0177522 0.0718755i
\(27\) 0.956940 + 0.290285i 0.184163 + 0.0558653i
\(28\) −1.37441 + 0.126221i −0.259739 + 0.0238535i
\(29\) −0.269295 0.328137i −0.0500068 0.0609335i 0.747406 0.664367i \(-0.231299\pi\)
−0.797413 + 0.603434i \(0.793799\pi\)
\(30\) −0.323076 + 0.677299i −0.0589854 + 0.123657i
\(31\) −0.349553 + 0.349553i −0.0627815 + 0.0627815i −0.737800 0.675019i \(-0.764135\pi\)
0.675019 + 0.737800i \(0.264135\pi\)
\(32\) −2.82781 4.89933i −0.499891 0.866088i
\(33\) 0.770661 + 0.770661i 0.134155 + 0.134155i
\(34\) 0.489664 0.173385i 0.0839767 0.0297353i
\(35\) −0.283059 + 0.232301i −0.0478457 + 0.0392660i
\(36\) −0.593179 + 1.91001i −0.0988632 + 0.318335i
\(37\) 1.19722 3.94671i 0.196822 0.648835i −0.801860 0.597512i \(-0.796156\pi\)
0.998682 0.0513231i \(-0.0163438\pi\)
\(38\) 1.84391 + 1.11348i 0.299122 + 0.180630i
\(39\) −0.221951 0.148303i −0.0355406 0.0237475i
\(40\) −1.35031 0.655072i −0.213502 0.103576i
\(41\) −3.34101 5.00017i −0.521777 0.780895i 0.473204 0.880953i \(-0.343097\pi\)
−0.994982 + 0.100058i \(0.968097\pi\)
\(42\) −0.657784 + 0.720961i −0.101498 + 0.111247i
\(43\) 3.57876 0.352477i 0.545755 0.0537522i 0.178617 0.983919i \(-0.442838\pi\)
0.367138 + 0.930166i \(0.380338\pi\)
\(44\) −1.55145 + 1.53112i −0.233891 + 0.230826i
\(45\) 0.154031 + 0.507771i 0.0229615 + 0.0756940i
\(46\) −1.95085 0.495504i −0.287637 0.0730581i
\(47\) −0.509378 0.210991i −0.0743004 0.0307762i 0.345224 0.938520i \(-0.387803\pi\)
−0.419524 + 0.907744i \(0.637803\pi\)
\(48\) −3.81211 1.21153i −0.550231 0.174869i
\(49\) 6.02718 2.49654i 0.861025 0.356648i
\(50\) 6.60386 0.957344i 0.933926 0.135389i
\(51\) 0.173149 0.323939i 0.0242457 0.0453605i
\(52\) 0.299527 0.441936i 0.0415369 0.0612855i
\(53\) −3.73925 + 4.55629i −0.513626 + 0.625855i −0.963652 0.267160i \(-0.913915\pi\)
0.450026 + 0.893015i \(0.351415\pi\)
\(54\) 0.600435 + 1.28042i 0.0817089 + 0.174243i
\(55\) −0.112823 + 0.567199i −0.0152130 + 0.0764810i
\(56\) −1.43321 1.32505i −0.191521 0.177067i
\(57\) 1.49386 0.297148i 0.197867 0.0393582i
\(58\) 0.0900433 0.593531i 0.0118233 0.0779345i
\(59\) −0.179198 + 0.0957832i −0.0233296 + 0.0124699i −0.483020 0.875609i \(-0.660460\pi\)
0.459691 + 0.888079i \(0.347960\pi\)
\(60\) −1.01755 + 0.301357i −0.131365 + 0.0389050i
\(61\) 0.753355 7.64895i 0.0964573 0.979347i −0.818150 0.575004i \(-0.805000\pi\)
0.914608 0.404343i \(-0.132500\pi\)
\(62\) −0.698146 0.0366059i −0.0886647 0.00464895i
\(63\) 0.690096i 0.0869439i
\(64\) 2.47328 7.60808i 0.309160 0.951010i
\(65\) 0.141642i 0.0175686i
\(66\) −0.0807052 + 1.53921i −0.00993413 + 0.189463i
\(67\) −0.177212 + 1.79927i −0.0216499 + 0.219815i 0.978272 + 0.207325i \(0.0664759\pi\)
−0.999922 + 0.0124902i \(0.996024\pi\)
\(68\) 0.645579 + 0.350563i 0.0782880 + 0.0425120i
\(69\) −1.25520 + 0.670920i −0.151109 + 0.0807692i
\(70\) −0.511995 0.0776737i −0.0611951 0.00928378i
\(71\) −10.7093 + 2.13021i −1.27096 + 0.252809i −0.784079 0.620661i \(-0.786864\pi\)
−0.486878 + 0.873470i \(0.661864\pi\)
\(72\) −2.56871 + 1.18396i −0.302725 + 0.139530i
\(73\) 2.58447 12.9930i 0.302489 1.52072i −0.468268 0.883587i \(-0.655122\pi\)
0.770757 0.637129i \(-0.219878\pi\)
\(74\) 5.28084 2.47637i 0.613885 0.287873i
\(75\) 2.99335 3.64741i 0.345642 0.421166i
\(76\) 0.574579 + 2.99158i 0.0659087 + 0.343158i
\(77\) −0.354548 + 0.663312i −0.0404044 + 0.0755914i
\(78\) −0.0541602 0.373602i −0.00613243 0.0423021i
\(79\) 0.435730 0.180485i 0.0490235 0.0203062i −0.358037 0.933707i \(-0.616554\pi\)
0.407060 + 0.913401i \(0.366554\pi\)
\(80\) −0.589279 2.03903i −0.0658833 0.227971i
\(81\) 0.923880 + 0.382683i 0.102653 + 0.0425204i
\(82\) 2.09364 8.24286i 0.231204 0.910271i
\(83\) 3.49762 + 11.5301i 0.383914 + 1.26559i 0.909803 + 0.415040i \(0.136233\pi\)
−0.525889 + 0.850553i \(0.676267\pi\)
\(84\) −1.38016 0.00910253i −0.150588 0.000993168i
\(85\) 0.193963 0.0191037i 0.0210383 0.00207209i
\(86\) 3.75691 + 3.42770i 0.405118 + 0.369618i
\(87\) −0.235835 0.352952i −0.0252842 0.0378405i
\(88\) −3.07729 0.181709i −0.328040 0.0193703i
\(89\) −2.58591 1.72785i −0.274106 0.183152i 0.410918 0.911672i \(-0.365208\pi\)
−0.685024 + 0.728520i \(0.740208\pi\)
\(90\) −0.387907 + 0.642371i −0.0408890 + 0.0677119i
\(91\) 0.0534742 0.176281i 0.00560562 0.0184792i
\(92\) −1.32525 2.51920i −0.138167 0.262645i
\(93\) −0.382132 + 0.313607i −0.0396252 + 0.0325196i
\(94\) −0.260258 0.735005i −0.0268436 0.0758099i
\(95\) 0.571485 + 0.571485i 0.0586331 + 0.0586331i
\(96\) −2.33398 5.15292i −0.238211 0.525917i
\(97\) 6.33077 6.33077i 0.642793 0.642793i −0.308448 0.951241i \(-0.599810\pi\)
0.951241 + 0.308448i \(0.0998097\pi\)
\(98\) 8.32715 + 3.97210i 0.841170 + 0.401243i
\(99\) 0.691412 + 0.842488i 0.0694896 + 0.0846733i
\(100\) 7.25517 + 6.03468i 0.725517 + 0.603468i
\(101\) 1.92355 + 0.583501i 0.191400 + 0.0580606i 0.384529 0.923113i \(-0.374364\pi\)
−0.193129 + 0.981173i \(0.561864\pi\)
\(102\) 0.504301 0.124555i 0.0499333 0.0123328i
\(103\) −7.76038 + 11.6142i −0.764653 + 1.14438i 0.220946 + 0.975286i \(0.429085\pi\)
−0.985599 + 0.169098i \(0.945915\pi\)
\(104\) 0.747903 0.103390i 0.0733379 0.0101382i
\(105\) −0.304466 + 0.203437i −0.0297128 + 0.0198535i
\(106\) −8.32695 + 0.381556i −0.808785 + 0.0370600i
\(107\) 0.337312 + 3.42479i 0.0326092 + 0.331087i 0.997624 + 0.0688918i \(0.0219463\pi\)
−0.965015 + 0.262195i \(0.915554\pi\)
\(108\) −0.777536 + 1.84267i −0.0748185 + 0.177311i
\(109\) −3.38240 + 1.02604i −0.323975 + 0.0982769i −0.448083 0.893992i \(-0.647893\pi\)
0.124108 + 0.992269i \(0.460393\pi\)
\(110\) −0.702880 + 0.418146i −0.0670170 + 0.0398686i
\(111\) 1.57830 3.81035i 0.149806 0.361663i
\(112\) 0.0364093 2.76014i 0.00344036 0.260809i
\(113\) −0.228196 0.550915i −0.0214669 0.0518257i 0.912783 0.408446i \(-0.133929\pi\)
−0.934250 + 0.356620i \(0.883929\pi\)
\(114\) 1.72589 + 1.28885i 0.161645 + 0.120712i
\(115\) −0.666034 0.356003i −0.0621080 0.0331974i
\(116\) 0.709000 0.467005i 0.0658290 0.0433603i
\(117\) −0.206346 0.169344i −0.0190767 0.0156558i
\(118\) −0.270236 0.0976984i −0.0248772 0.00899386i
\(119\) 0.248609 + 0.0494513i 0.0227899 + 0.00453320i
\(120\) −1.27960 0.784271i −0.116811 0.0715938i
\(121\) −1.91426 9.62362i −0.174023 0.874875i
\(122\) 8.75184 6.44618i 0.792354 0.583610i
\(123\) −2.83482 5.30357i −0.255607 0.478206i
\(124\) −0.622160 0.768383i −0.0558717 0.0690028i
\(125\) 5.13196 + 0.505454i 0.459016 + 0.0452092i
\(126\) −0.725283 + 0.653015i −0.0646134 + 0.0581752i
\(127\) 0.282348 0.0250543 0.0125272 0.999922i \(-0.496012\pi\)
0.0125272 + 0.999922i \(0.496012\pi\)
\(128\) 10.3364 4.59988i 0.913617 0.406576i
\(129\) 3.59607 0.316616
\(130\) 0.148865 0.134032i 0.0130563 0.0117553i
\(131\) 1.42607 + 0.140456i 0.124597 + 0.0122717i 0.160123 0.987097i \(-0.448811\pi\)
−0.0355265 + 0.999369i \(0.511311\pi\)
\(132\) −1.69406 + 1.37168i −0.147449 + 0.119390i
\(133\) 0.495488 + 0.926993i 0.0429643 + 0.0803805i
\(134\) −2.05870 + 1.51634i −0.177845 + 0.130992i
\(135\) 0.103519 + 0.520423i 0.00890946 + 0.0447909i
\(136\) 0.242453 + 1.01022i 0.0207901 + 0.0866259i
\(137\) −12.7158 2.52932i −1.08638 0.216095i −0.380753 0.924677i \(-0.624335\pi\)
−0.705628 + 0.708582i \(0.749335\pi\)
\(138\) −1.89289 0.684335i −0.161133 0.0582545i
\(139\) 10.3838 + 8.52176i 0.880742 + 0.722807i 0.961756 0.273906i \(-0.0883158\pi\)
−0.0810140 + 0.996713i \(0.525816\pi\)
\(140\) −0.402850 0.611601i −0.0340470 0.0516898i
\(141\) −0.486244 0.259903i −0.0409492 0.0218878i
\(142\) −12.3727 9.23959i −1.03829 0.775369i
\(143\) −0.111334 0.268785i −0.00931024 0.0224769i
\(144\) −3.67501 1.57934i −0.306251 0.131612i
\(145\) 0.0861970 0.208098i 0.00715827 0.0172816i
\(146\) 16.1011 9.57860i 1.33254 0.792731i
\(147\) 6.24286 1.89375i 0.514902 0.156194i
\(148\) 7.59973 + 3.20679i 0.624694 + 0.263597i
\(149\) 1.55637 + 15.8021i 0.127503 + 1.29456i 0.819675 + 0.572828i \(0.194154\pi\)
−0.692172 + 0.721732i \(0.743346\pi\)
\(150\) 6.66589 0.305443i 0.544268 0.0249393i
\(151\) −8.92170 + 5.96129i −0.726038 + 0.485123i −0.862841 0.505475i \(-0.831317\pi\)
0.136803 + 0.990598i \(0.456317\pi\)
\(152\) −2.60042 + 3.43471i −0.210922 + 0.278592i
\(153\) 0.204067 0.305407i 0.0164978 0.0246907i
\(154\) −1.03263 + 0.255045i −0.0832117 + 0.0205521i
\(155\) −0.251012 0.0761438i −0.0201618 0.00611601i
\(156\) 0.341402 0.410449i 0.0273340 0.0328623i
\(157\) −4.16561 5.07581i −0.332452 0.405093i 0.579777 0.814775i \(-0.303140\pi\)
−0.912228 + 0.409682i \(0.865640\pi\)
\(158\) 0.602005 + 0.287160i 0.0478930 + 0.0228453i
\(159\) −4.16784 + 4.16784i −0.330531 + 0.330531i
\(160\) 1.58539 2.54879i 0.125336 0.201500i
\(161\) −0.694510 0.694510i −0.0547350 0.0547350i
\(162\) 0.472041 + 1.33311i 0.0370870 + 0.104739i
\(163\) −3.18455 + 2.61349i −0.249433 + 0.204705i −0.750799 0.660531i \(-0.770331\pi\)
0.501366 + 0.865236i \(0.332831\pi\)
\(164\) 10.6443 5.59955i 0.831180 0.437252i
\(165\) −0.167875 + 0.553409i −0.0130690 + 0.0430828i
\(166\) −8.80833 + 14.5865i −0.683659 + 1.13213i
\(167\) −11.4096 7.62368i −0.882905 0.589938i 0.0293463 0.999569i \(-0.490657\pi\)
−0.912251 + 0.409631i \(0.865657\pi\)
\(168\) −1.29643 1.45915i −0.100022 0.112576i
\(169\) −7.18283 10.7499i −0.552525 0.826912i
\(170\) 0.203619 + 0.185776i 0.0156169 + 0.0142484i
\(171\) 1.51580 0.149293i 0.115916 0.0114167i
\(172\) −0.0474331 + 7.19199i −0.00361674 + 0.548384i
\(173\) 4.20844 + 13.8734i 0.319962 + 1.05477i 0.958478 + 0.285165i \(0.0920485\pi\)
−0.638516 + 0.769608i \(0.720451\pi\)
\(174\) 0.147786 0.581848i 0.0112036 0.0441098i
\(175\) 3.00832 + 1.24609i 0.227407 + 0.0941952i
\(176\) −2.72096 3.40614i −0.205100 0.256747i
\(177\) −0.187723 + 0.0777575i −0.0141101 + 0.00584461i
\(178\) −0.631011 4.35278i −0.0472963 0.326254i
\(179\) −8.21410 + 15.3675i −0.613951 + 1.14862i 0.362317 + 0.932055i \(0.381986\pi\)
−0.976268 + 0.216566i \(0.930514\pi\)
\(180\) −1.04219 + 0.200168i −0.0776802 + 0.0149197i
\(181\) −9.89451 + 12.0565i −0.735453 + 0.896152i −0.997626 0.0688687i \(-0.978061\pi\)
0.262173 + 0.965021i \(0.415561\pi\)
\(182\) 0.235870 0.110608i 0.0174839 0.00819880i
\(183\) 1.49946 7.53827i 0.110843 0.557245i
\(184\) 1.39361 3.77666i 0.102738 0.278419i
\(185\) 2.14638 0.426942i 0.157805 0.0313894i
\(186\) −0.691196 0.104860i −0.0506810 0.00768870i
\(187\) 0.353054 0.188711i 0.0258179 0.0137999i
\(188\) 0.526208 0.969039i 0.0383777 0.0706744i
\(189\) −0.0676412 + 0.686773i −0.00492017 + 0.0499554i
\(190\) −0.0598471 + 1.14140i −0.00434176 + 0.0828060i
\(191\) 9.94163i 0.719351i −0.933077 0.359676i \(-0.882887\pi\)
0.933077 0.359676i \(-0.117113\pi\)
\(192\) 3.20709 7.32902i 0.231452 0.528927i
\(193\) 20.1185i 1.44816i 0.689714 + 0.724082i \(0.257736\pi\)
−0.689714 + 0.724082i \(0.742264\pi\)
\(194\) 12.6442 + 0.662971i 0.907799 + 0.0475986i
\(195\) 0.0138834 0.140960i 0.000994210 0.0100944i
\(196\) 3.70507 + 12.5104i 0.264648 + 0.893601i
\(197\) −14.1010 + 7.53717i −1.00466 + 0.537001i −0.889785 0.456379i \(-0.849146\pi\)
−0.114873 + 0.993380i \(0.536646\pi\)
\(198\) −0.231185 + 1.52389i −0.0164296 + 0.108298i
\(199\) −24.6859 + 4.91032i −1.74993 + 0.348084i −0.963113 0.269097i \(-0.913275\pi\)
−0.786821 + 0.617181i \(0.788275\pi\)
\(200\) 0.522949 + 13.3355i 0.0369781 + 0.942964i
\(201\) −0.352718 + 1.77323i −0.0248788 + 0.125074i
\(202\) 1.20694 + 2.57377i 0.0849197 + 0.181090i
\(203\) 0.185839 0.226446i 0.0130434 0.0158934i
\(204\) 0.608110 + 0.412153i 0.0425762 + 0.0288565i
\(205\) 1.50421 2.81417i 0.105058 0.196550i
\(206\) −19.5498 + 2.83409i −1.36210 + 0.197460i
\(207\) −1.31492 + 0.544658i −0.0913933 + 0.0378563i
\(208\) 0.816378 + 0.688203i 0.0566056 + 0.0477183i
\(209\) 1.53367 + 0.635266i 0.106086 + 0.0439423i
\(210\) −0.501916 0.127484i −0.0346355 0.00879723i
\(211\) 3.92297 + 12.9323i 0.270068 + 0.890295i 0.982134 + 0.188183i \(0.0602597\pi\)
−0.712066 + 0.702113i \(0.752240\pi\)
\(212\) −8.28053 8.39048i −0.568709 0.576260i
\(213\) −10.8665 + 1.07026i −0.744560 + 0.0733328i
\(214\) −3.28023 + 3.59527i −0.224232 + 0.245768i
\(215\) 1.06011 + 1.58656i 0.0722987 + 0.108203i
\(216\) −2.67238 + 0.926477i −0.181833 + 0.0630388i
\(217\) −0.283650 0.189529i −0.0192554 0.0128661i
\(218\) −4.27901 2.58396i −0.289811 0.175008i
\(219\) 3.84556 12.6771i 0.259859 0.856640i
\(220\) −1.10458 0.343042i −0.0744707 0.0231279i
\(221\) −0.0757930 + 0.0622017i −0.00509839 + 0.00418414i
\(222\) 5.49814 1.94684i 0.369011 0.130663i
\(223\) 9.15510 + 9.15510i 0.613071 + 0.613071i 0.943745 0.330674i \(-0.107276\pi\)
−0.330674 + 0.943745i \(0.607276\pi\)
\(224\) 2.93533 2.57357i 0.196125 0.171954i
\(225\) 3.33644 3.33644i 0.222430 0.222430i
\(226\) 0.363071 0.761144i 0.0241511 0.0506306i
\(227\) 3.39015 + 4.13091i 0.225012 + 0.274178i 0.873263 0.487248i \(-0.161999\pi\)
−0.648251 + 0.761427i \(0.724499\pi\)
\(228\) 0.278586 + 3.03350i 0.0184498 + 0.200898i
\(229\) 12.0368 + 3.65134i 0.795417 + 0.241287i 0.661736 0.749737i \(-0.269820\pi\)
0.133681 + 0.991024i \(0.457320\pi\)
\(230\) −0.256091 1.03687i −0.0168862 0.0683691i
\(231\) −0.417856 + 0.625366i −0.0274929 + 0.0411461i
\(232\) 1.16172 + 0.303240i 0.0762707 + 0.0199087i
\(233\) −19.6130 + 13.1050i −1.28489 + 0.858538i −0.995131 0.0985603i \(-0.968576\pi\)
−0.289762 + 0.957099i \(0.593576\pi\)
\(234\) −0.0172800 0.377112i −0.00112963 0.0246526i
\(235\) −0.0286754 0.291146i −0.00187058 0.0189923i
\(236\) −0.153035 0.376464i −0.00996176 0.0245057i
\(237\) 0.451323 0.136907i 0.0293166 0.00889308i
\(238\) 0.183277 + 0.308079i 0.0118801 + 0.0199698i
\(239\) 8.43594 20.3662i 0.545676 1.31738i −0.374991 0.927028i \(-0.622354\pi\)
0.920667 0.390349i \(-0.127646\pi\)
\(240\) −0.386581 2.08697i −0.0249537 0.134714i
\(241\) −0.490208 1.18347i −0.0315770 0.0762337i 0.907304 0.420474i \(-0.138136\pi\)
−0.938881 + 0.344241i \(0.888136\pi\)
\(242\) 8.30293 11.1184i 0.533732 0.714717i
\(243\) 0.881921 + 0.471397i 0.0565753 + 0.0302401i
\(244\) 15.0564 + 3.09828i 0.963890 + 0.198347i
\(245\) 2.67588 + 2.19604i 0.170956 + 0.140300i
\(246\) 2.89150 7.99795i 0.184355 0.509931i
\(247\) −0.398770 0.0793202i −0.0253731 0.00504702i
\(248\) 0.218832 1.38098i 0.0138959 0.0876923i
\(249\) 2.35063 + 11.8174i 0.148965 + 0.748898i
\(250\) 4.32498 + 5.87193i 0.273536 + 0.371373i
\(251\) −7.54897 14.1231i −0.476486 0.891443i −0.999241 0.0389601i \(-0.987595\pi\)
0.522754 0.852483i \(-0.324905\pi\)
\(252\) −1.37262 0.144338i −0.0864671 0.00909245i
\(253\) −1.54371 0.152042i −0.0970523 0.00955882i
\(254\) 0.267176 + 0.296744i 0.0167641 + 0.0186194i
\(255\) 0.194902 0.0122052
\(256\) 14.6154 + 6.51072i 0.913464 + 0.406920i
\(257\) −13.8739 −0.865432 −0.432716 0.901530i \(-0.642445\pi\)
−0.432716 + 0.901530i \(0.642445\pi\)
\(258\) 3.40284 + 3.77943i 0.211852 + 0.235297i
\(259\) 2.83246 + 0.278972i 0.176000 + 0.0173345i
\(260\) 0.281732 + 0.0296255i 0.0174722 + 0.00183729i
\(261\) −0.200104 0.374369i −0.0123861 0.0231728i
\(262\) 1.20183 + 1.63170i 0.0742493 + 0.100807i
\(263\) −2.20616 11.0911i −0.136038 0.683908i −0.987262 0.159105i \(-0.949139\pi\)
0.851224 0.524803i \(-0.175861\pi\)
\(264\) −3.04466 0.482461i −0.187386 0.0296934i
\(265\) −3.06749 0.610161i −0.188434 0.0374819i
\(266\) −0.505395 + 1.39794i −0.0309878 + 0.0857129i
\(267\) −2.40410 1.97300i −0.147129 0.120745i
\(268\) −3.54174 0.728810i −0.216346 0.0445192i
\(269\) 23.1274 + 12.3618i 1.41010 + 0.753715i 0.988235 0.152943i \(-0.0488752\pi\)
0.421866 + 0.906658i \(0.361375\pi\)
\(270\) −0.449003 + 0.601256i −0.0273254 + 0.0365913i
\(271\) 0.483716 + 1.16779i 0.0293837 + 0.0709384i 0.937890 0.346932i \(-0.112777\pi\)
−0.908507 + 0.417871i \(0.862777\pi\)
\(272\) −0.832309 + 1.21076i −0.0504661 + 0.0734129i
\(273\) 0.0704952 0.170191i 0.00426657 0.0103004i
\(274\) −9.37422 15.7575i −0.566317 0.951948i
\(275\) 4.92110 1.49280i 0.296754 0.0900192i
\(276\) −1.07195 2.63697i −0.0645237 0.158727i
\(277\) 1.19177 + 12.1003i 0.0716068 + 0.727036i 0.962220 + 0.272274i \(0.0877756\pi\)
−0.890613 + 0.454762i \(0.849724\pi\)
\(278\) 0.869567 + 18.9771i 0.0521531 + 1.13817i
\(279\) −0.411030 + 0.274642i −0.0246077 + 0.0164424i
\(280\) 0.261583 1.00213i 0.0156326 0.0598887i
\(281\) 2.91092 4.35650i 0.173651 0.259887i −0.734427 0.678687i \(-0.762549\pi\)
0.908078 + 0.418800i \(0.137549\pi\)
\(282\) −0.186962 0.756975i −0.0111334 0.0450772i
\(283\) 3.36923 + 1.02204i 0.200280 + 0.0607542i 0.388831 0.921309i \(-0.372879\pi\)
−0.188551 + 0.982063i \(0.560379\pi\)
\(284\) −1.99714 21.7466i −0.118508 1.29043i
\(285\) 0.512718 + 0.624749i 0.0303708 + 0.0370069i
\(286\) 0.177138 0.371353i 0.0104744 0.0219586i
\(287\) 2.93449 2.93449i 0.173217 0.173217i
\(288\) −1.81766 5.35687i −0.107107 0.315657i
\(289\) 11.9254 + 11.9254i 0.701495 + 0.701495i
\(290\) 0.300274 0.106324i 0.0176327 0.00624357i
\(291\) 6.92081 5.67976i 0.405705 0.332954i
\(292\) 25.3030 + 7.85817i 1.48074 + 0.459865i
\(293\) 1.72560 5.68854i 0.100811 0.332328i −0.891998 0.452039i \(-0.850697\pi\)
0.992809 + 0.119711i \(0.0381968\pi\)
\(294\) 7.89772 + 4.76918i 0.460604 + 0.278144i
\(295\) −0.0896461 0.0598996i −0.00521940 0.00348749i
\(296\) 3.82107 + 11.0217i 0.222095 + 0.640624i
\(297\) 0.605505 + 0.906202i 0.0351350 + 0.0525832i
\(298\) −15.1351 + 16.5888i −0.876754 + 0.960961i
\(299\) 0.378093 0.0372389i 0.0218657 0.00215358i
\(300\) 6.62873 + 6.71675i 0.382710 + 0.387792i
\(301\) 0.720380 + 2.37478i 0.0415220 + 0.136880i
\(302\) −14.7076 3.73564i −0.846325 0.214962i
\(303\) 1.85709 + 0.769232i 0.106687 + 0.0441912i
\(304\) −6.07054 + 0.517147i −0.348169 + 0.0296604i
\(305\) 3.76787 1.56070i 0.215748 0.0893656i
\(306\) 0.514081 0.0745251i 0.0293881 0.00426031i
\(307\) −1.82765 + 3.41928i −0.104309 + 0.195149i −0.928662 0.370928i \(-0.879040\pi\)
0.824352 + 0.566077i \(0.191540\pi\)
\(308\) −1.24519 0.843943i −0.0709515 0.0480881i
\(309\) −8.86140 + 10.7977i −0.504108 + 0.614257i
\(310\) −0.157498 0.335864i −0.00894531 0.0190758i
\(311\) 6.35172 31.9322i 0.360173 1.81071i −0.197102 0.980383i \(-0.563153\pi\)
0.557274 0.830328i \(-0.311847\pi\)
\(312\) 0.754435 0.0295850i 0.0427115 0.00167492i
\(313\) 16.9915 3.37983i 0.960419 0.191039i 0.310103 0.950703i \(-0.399637\pi\)
0.650316 + 0.759664i \(0.274637\pi\)
\(314\) 1.39284 9.18108i 0.0786026 0.518118i
\(315\) −0.322940 + 0.172615i −0.0181956 + 0.00972575i
\(316\) 0.267855 + 0.904431i 0.0150680 + 0.0508782i
\(317\) 2.18680 22.2029i 0.122823 1.24704i −0.714227 0.699914i \(-0.753222\pi\)
0.837050 0.547126i \(-0.184278\pi\)
\(318\) −8.32425 0.436465i −0.466801 0.0244757i
\(319\) 0.462646i 0.0259032i
\(320\) 4.17895 0.745617i 0.233611 0.0416813i
\(321\) 3.44136i 0.192078i
\(322\) 0.0727305 1.38711i 0.00405311 0.0773008i
\(323\) 0.0548368 0.556768i 0.00305120 0.0309794i
\(324\) −0.954406 + 1.75759i −0.0530225 + 0.0976437i
\(325\) −1.11081 + 0.593740i −0.0616166 + 0.0329348i
\(326\) −5.76019 0.873866i −0.319027 0.0483989i
\(327\) −3.46668 + 0.689566i −0.191708 + 0.0381331i
\(328\) 15.9574 + 5.88837i 0.881101 + 0.325131i
\(329\) 0.0742283 0.373171i 0.00409234 0.0205736i
\(330\) −0.740481 + 0.347238i −0.0407621 + 0.0191148i
\(331\) 4.42255 5.38889i 0.243085 0.296200i −0.637148 0.770742i \(-0.719886\pi\)
0.880233 + 0.474541i \(0.157386\pi\)
\(332\) −23.6653 + 4.54528i −1.29880 + 0.249455i
\(333\) 1.94418 3.63731i 0.106540 0.199323i
\(334\) −2.78417 19.2055i −0.152343 1.05088i
\(335\) −0.886319 + 0.367125i −0.0484248 + 0.0200582i
\(336\) 0.306775 2.74328i 0.0167360 0.149658i
\(337\) 6.34814 + 2.62948i 0.345805 + 0.143237i 0.548825 0.835938i \(-0.315075\pi\)
−0.203020 + 0.979175i \(0.565075\pi\)
\(338\) 4.50111 17.7213i 0.244828 0.963912i
\(339\) −0.173098 0.570629i −0.00940141 0.0309923i
\(340\) −0.00257080 + 0.389795i −0.000139421 + 0.0211396i
\(341\) −0.536179 + 0.0528090i −0.0290357 + 0.00285977i
\(342\) 1.59125 + 1.45182i 0.0860452 + 0.0785052i
\(343\) 5.18497 + 7.75985i 0.279962 + 0.418993i
\(344\) −7.60359 + 6.75569i −0.409958 + 0.364242i
\(345\) −0.627933 0.419571i −0.0338068 0.0225890i
\(346\) −10.5985 + 17.5510i −0.569777 + 0.943545i
\(347\) 3.31942 10.9426i 0.178196 0.587432i −0.821652 0.569989i \(-0.806947\pi\)
0.999848 0.0174430i \(-0.00555257\pi\)
\(348\) 0.751361 0.395262i 0.0402772 0.0211883i
\(349\) −0.0226540 + 0.0185917i −0.00121264 + 0.000995190i −0.634999 0.772513i \(-0.719000\pi\)
0.633787 + 0.773508i \(0.281500\pi\)
\(350\) 1.53705 + 4.34084i 0.0821587 + 0.232027i
\(351\) −0.188754 0.188754i −0.0100749 0.0100749i
\(352\) 1.00506 6.08282i 0.0535699 0.324215i
\(353\) 3.10173 3.10173i 0.165089 0.165089i −0.619728 0.784817i \(-0.712757\pi\)
0.784817 + 0.619728i \(0.212757\pi\)
\(354\) −0.259359 0.123716i −0.0137848 0.00657541i
\(355\) −3.67559 4.47872i −0.195080 0.237706i
\(356\) 3.97762 4.78208i 0.210813 0.253450i
\(357\) 0.242564 + 0.0735811i 0.0128379 + 0.00389433i
\(358\) −23.9238 + 5.90883i −1.26441 + 0.312291i
\(359\) 10.1464 15.1851i 0.535505 0.801440i −0.460784 0.887512i \(-0.652432\pi\)
0.996289 + 0.0860723i \(0.0274316\pi\)
\(360\) −1.19656 0.905917i −0.0630645 0.0477460i
\(361\) −13.8690 + 9.26695i −0.729946 + 0.487734i
\(362\) −22.0341 + 1.00964i −1.15809 + 0.0530656i
\(363\) −0.961760 9.76491i −0.0504793 0.512525i
\(364\) 0.339444 + 0.143232i 0.0177917 + 0.00750741i
\(365\) 6.72672 2.04053i 0.352092 0.106806i
\(366\) 9.34153 5.55731i 0.488290 0.290485i
\(367\) 8.70516 21.0161i 0.454406 1.09703i −0.516224 0.856454i \(-0.672663\pi\)
0.970630 0.240579i \(-0.0773373\pi\)
\(368\) 5.28796 2.10907i 0.275654 0.109943i
\(369\) −2.30132 5.55589i −0.119802 0.289228i
\(370\) 2.47976 + 1.85182i 0.128917 + 0.0962716i
\(371\) −3.58728 1.91744i −0.186242 0.0995486i
\(372\) −0.543850 0.825665i −0.0281973 0.0428088i
\(373\) −9.07797 7.45010i −0.470040 0.385751i 0.369343 0.929293i \(-0.379583\pi\)
−0.839382 + 0.543542i \(0.817083\pi\)
\(374\) 0.532417 + 0.192485i 0.0275306 + 0.00995315i
\(375\) 5.05770 + 1.00604i 0.261179 + 0.0519517i
\(376\) 1.51638 0.363931i 0.0782015 0.0187683i
\(377\) 0.0221063 + 0.111136i 0.00113853 + 0.00572379i
\(378\) −0.785797 + 0.578780i −0.0404171 + 0.0297692i
\(379\) −14.6389 27.3875i −0.751952 1.40680i −0.907964 0.419048i \(-0.862364\pi\)
0.156012 0.987755i \(-0.450136\pi\)
\(380\) −1.25623 + 1.01717i −0.0644434 + 0.0521799i
\(381\) 0.280988 + 0.0276749i 0.0143955 + 0.00141783i
\(382\) 10.4485 9.40744i 0.534594 0.481327i
\(383\) 17.0039 0.868859 0.434429 0.900706i \(-0.356950\pi\)
0.434429 + 0.900706i \(0.356950\pi\)
\(384\) 10.7375 3.56459i 0.547945 0.181905i
\(385\) −0.399090 −0.0203395
\(386\) −21.1444 + 19.0375i −1.07622 + 0.968983i
\(387\) 3.57876 + 0.352477i 0.181918 + 0.0179174i
\(388\) 11.2680 + 13.9162i 0.572046 + 0.706490i
\(389\) 5.14608 + 9.62764i 0.260917 + 0.488141i 0.977934 0.208915i \(-0.0669932\pi\)
−0.717017 + 0.697055i \(0.754493\pi\)
\(390\) 0.161285 0.118795i 0.00816700 0.00601541i
\(391\) 0.101989 + 0.512733i 0.00515780 + 0.0259300i
\(392\) −9.64233 + 15.7322i −0.487011 + 0.794596i
\(393\) 1.40544 + 0.279559i 0.0708951 + 0.0141019i
\(394\) −21.2648 7.68787i −1.07131 0.387310i
\(395\) 0.193451 + 0.158761i 0.00973356 + 0.00798813i
\(396\) −1.82035 + 1.19903i −0.0914761 + 0.0602535i
\(397\) −11.1868 5.97949i −0.561452 0.300102i 0.166152 0.986100i \(-0.446866\pi\)
−0.727603 + 0.685998i \(0.759366\pi\)
\(398\) −28.5201 21.2981i −1.42958 1.06758i
\(399\) 0.402241 + 0.971096i 0.0201372 + 0.0486156i
\(400\) −13.5206 + 13.1686i −0.676032 + 0.658429i
\(401\) 3.68246 8.89025i 0.183893 0.443958i −0.804869 0.593452i \(-0.797765\pi\)
0.988763 + 0.149494i \(0.0477646\pi\)
\(402\) −2.19741 + 1.30725i −0.109597 + 0.0651997i
\(403\) 0.126277 0.0383056i 0.00629029 0.00190814i
\(404\) −1.56293 + 3.70395i −0.0777585 + 0.184279i
\(405\) 0.0520097 + 0.528064i 0.00258438 + 0.0262397i
\(406\) 0.413846 0.0189632i 0.0205388 0.000941127i
\(407\) 3.73745 2.49728i 0.185258 0.123786i
\(408\) 0.142266 + 1.02912i 0.00704322 + 0.0509492i
\(409\) −2.80335 + 4.19552i −0.138617 + 0.207455i −0.894283 0.447503i \(-0.852314\pi\)
0.755666 + 0.654958i \(0.227314\pi\)
\(410\) 4.38105 1.08205i 0.216364 0.0534388i
\(411\) −12.4066 3.76351i −0.611973 0.185640i
\(412\) −21.4779 17.8648i −1.05814 0.880138i
\(413\) −0.0889550 0.108392i −0.00437719 0.00533362i
\(414\) −1.81670 0.866575i −0.0892857 0.0425898i
\(415\) −4.52081 + 4.52081i −0.221918 + 0.221918i
\(416\) 0.0492175 + 1.50923i 0.00241308 + 0.0739960i
\(417\) 9.49852 + 9.49852i 0.465145 + 0.465145i
\(418\) 0.783602 + 2.21300i 0.0383272 + 0.108241i
\(419\) 22.5002 18.4655i 1.09921 0.902097i 0.103498 0.994630i \(-0.466996\pi\)
0.995710 + 0.0925330i \(0.0294964\pi\)
\(420\) −0.340963 0.648143i −0.0166373 0.0316261i
\(421\) 6.73424 22.1998i 0.328207 1.08195i −0.625250 0.780424i \(-0.715003\pi\)
0.953457 0.301529i \(-0.0974969\pi\)
\(422\) −9.87952 + 16.3604i −0.480927 + 0.796411i
\(423\) −0.458428 0.306312i −0.0222895 0.0148934i
\(424\) 0.982710 16.6424i 0.0477246 0.808225i
\(425\) −0.962877 1.44105i −0.0467064 0.0699011i
\(426\) −11.4074 10.4078i −0.552692 0.504261i
\(427\) 5.27850 0.519887i 0.255445 0.0251591i
\(428\) −6.88257 0.0453924i −0.332681 0.00219412i
\(429\) −0.0844527 0.278403i −0.00407741 0.0134414i
\(430\) −0.664316 + 2.61547i −0.0320361 + 0.126129i
\(431\) −4.58950 1.90103i −0.221069 0.0915696i 0.269400 0.963028i \(-0.413175\pi\)
−0.490469 + 0.871459i \(0.663175\pi\)
\(432\) −3.50251 1.93195i −0.168514 0.0929511i
\(433\) 8.78362 3.63829i 0.422114 0.174845i −0.161507 0.986872i \(-0.551635\pi\)
0.583621 + 0.812026i \(0.301635\pi\)
\(434\) −0.0692160 0.477459i −0.00332247 0.0229187i
\(435\) 0.106179 0.198647i 0.00509090 0.00952440i
\(436\) −1.33338 6.94231i −0.0638572 0.332477i
\(437\) −1.37524 + 1.67574i −0.0657869 + 0.0801615i
\(438\) 16.9624 7.95430i 0.810497 0.380071i
\(439\) 1.40231 7.04989i 0.0669286 0.336473i −0.932784 0.360435i \(-0.882628\pi\)
0.999713 + 0.0239623i \(0.00762816\pi\)
\(440\) −0.684694 1.48551i −0.0326415 0.0708189i
\(441\) 6.39842 1.27272i 0.304686 0.0606059i
\(442\) −0.137094 0.0207982i −0.00652089 0.000989269i
\(443\) −12.6090 + 6.73965i −0.599072 + 0.320211i −0.742911 0.669391i \(-0.766555\pi\)
0.143839 + 0.989601i \(0.454055\pi\)
\(444\) 7.24881 + 3.93625i 0.344013 + 0.186806i
\(445\) 0.161753 1.64231i 0.00766783 0.0778528i
\(446\) −0.958740 + 18.2851i −0.0453977 + 0.865824i
\(447\) 15.8786i 0.751031i
\(448\) 5.48240 + 0.649722i 0.259019 + 0.0306965i
\(449\) 8.12435i 0.383412i 0.981452 + 0.191706i \(0.0614019\pi\)
−0.981452 + 0.191706i \(0.938598\pi\)
\(450\) 6.66373 + 0.349399i 0.314131 + 0.0164708i
\(451\) 0.642420 6.52260i 0.0302504 0.307137i
\(452\) 1.14352 0.338662i 0.0537865 0.0159293i
\(453\) −9.46305 + 5.05811i −0.444613 + 0.237651i
\(454\) −1.13355 + 7.47196i −0.0532003 + 0.350676i
\(455\) 0.0958686 0.0190695i 0.00449439 0.000893990i
\(456\) −2.92456 + 3.16329i −0.136955 + 0.148135i
\(457\) 3.73634 18.7838i 0.174778 0.878670i −0.789494 0.613758i \(-0.789657\pi\)
0.964273 0.264912i \(-0.0853430\pi\)
\(458\) 7.55256 + 16.1057i 0.352908 + 0.752572i
\(459\) 0.233019 0.283935i 0.0108764 0.0132529i
\(460\) 0.847407 1.25030i 0.0395105 0.0582957i
\(461\) 12.3207 23.0503i 0.573830 1.07356i −0.412836 0.910805i \(-0.635462\pi\)
0.986666 0.162756i \(-0.0520382\pi\)
\(462\) −1.05266 + 0.152601i −0.0489740 + 0.00709964i
\(463\) 11.3347 4.69498i 0.526767 0.218194i −0.103419 0.994638i \(-0.532978\pi\)
0.630187 + 0.776444i \(0.282978\pi\)
\(464\) 0.780596 + 1.50790i 0.0362383 + 0.0700026i
\(465\) −0.242340 0.100381i −0.0112383 0.00465504i
\(466\) −32.3324 8.21225i −1.49777 0.380425i
\(467\) 11.8343 + 39.0123i 0.547625 + 1.80528i 0.591585 + 0.806243i \(0.298503\pi\)
−0.0439603 + 0.999033i \(0.513997\pi\)
\(468\) 0.379989 0.375010i 0.0175650 0.0173348i
\(469\) −1.24167 + 0.122293i −0.0573348 + 0.00564699i
\(470\) 0.278857 0.305640i 0.0128627 0.0140981i
\(471\) −3.64803 5.45967i −0.168092 0.251568i
\(472\) 0.250847 0.517074i 0.0115462 0.0238003i
\(473\) 3.25877 + 2.17744i 0.149838 + 0.100119i
\(474\) 0.570960 + 0.344784i 0.0262251 + 0.0158365i
\(475\) 2.08622 6.87735i 0.0957224 0.315554i
\(476\) −0.150359 + 0.484148i −0.00689167 + 0.0221909i
\(477\) −4.55629 + 3.73925i −0.208618 + 0.171209i
\(478\) 29.3873 10.4057i 1.34414 0.475948i
\(479\) 15.5829 + 15.5829i 0.712003 + 0.712003i 0.966954 0.254951i \(-0.0820595\pi\)
−0.254951 + 0.966954i \(0.582059\pi\)
\(480\) 1.82758 2.38113i 0.0834171 0.108683i
\(481\) −0.778477 + 0.778477i −0.0354955 + 0.0354955i
\(482\) 0.779942 1.63508i 0.0355254 0.0744757i
\(483\) −0.623092 0.759239i −0.0283516 0.0345466i
\(484\) 19.5421 1.79468i 0.888277 0.0815762i
\(485\) 4.54610 + 1.37905i 0.206428 + 0.0626192i
\(486\) 0.339100 + 1.37296i 0.0153819 + 0.0622786i
\(487\) −17.9301 + 26.8342i −0.812488 + 1.21597i 0.160936 + 0.986965i \(0.448549\pi\)
−0.973424 + 0.229010i \(0.926451\pi\)
\(488\) 10.9912 + 18.7560i 0.497546 + 0.849042i
\(489\) −3.42538 + 2.28877i −0.154901 + 0.103502i
\(490\) 0.224085 + 4.89036i 0.0101231 + 0.220924i
\(491\) −2.17473 22.0804i −0.0981440 0.996473i −0.910555 0.413388i \(-0.864345\pi\)
0.812411 0.583085i \(-0.198155\pi\)
\(492\) 11.1419 4.52927i 0.502315 0.204195i
\(493\) −0.149206 + 0.0452613i −0.00671992 + 0.00203847i
\(494\) −0.293978 0.494161i −0.0132267 0.0222333i
\(495\) −0.221310 + 0.534289i −0.00994714 + 0.0240145i
\(496\) 1.65847 1.07679i 0.0744674 0.0483491i
\(497\) −2.88360 6.96163i −0.129347 0.312272i
\(498\) −10.1956 + 13.6529i −0.456878 + 0.611802i
\(499\) −34.9312 18.6711i −1.56373 0.835833i −0.999951 0.00990955i \(-0.996846\pi\)
−0.563782 0.825923i \(-0.690654\pi\)
\(500\) −2.07875 + 10.1019i −0.0929644 + 0.451771i
\(501\) −10.6075 8.70531i −0.473906 0.388925i
\(502\) 7.69991 21.2981i 0.343664 0.950582i
\(503\) 30.1509 + 5.99739i 1.34436 + 0.267411i 0.814249 0.580515i \(-0.197149\pi\)
0.530115 + 0.847926i \(0.322149\pi\)
\(504\) −1.14717 1.57919i −0.0510990 0.0703429i
\(505\) 0.208083 + 1.04610i 0.00925956 + 0.0465510i
\(506\) −1.30097 1.76630i −0.0578351 0.0785215i
\(507\) −6.09457 11.4021i −0.270669 0.506387i
\(508\) −0.0590549 + 0.561599i −0.00262014 + 0.0249169i
\(509\) 21.2914 + 2.09702i 0.943724 + 0.0929487i 0.558161 0.829733i \(-0.311507\pi\)
0.385563 + 0.922681i \(0.374007\pi\)
\(510\) 0.184429 + 0.204840i 0.00816666 + 0.00907045i
\(511\) 9.14208 0.404422
\(512\) 6.98740 + 21.5215i 0.308802 + 0.951126i
\(513\) 1.52313 0.0672479
\(514\) −13.1284 14.5814i −0.579071 0.643156i
\(515\) −7.37616 0.726488i −0.325032 0.0320129i
\(516\) −0.752143 + 7.15271i −0.0331112 + 0.314880i
\(517\) −0.283263 0.529948i −0.0124579 0.0233071i
\(518\) 2.38706 + 3.24086i 0.104882 + 0.142395i
\(519\) 2.82835 + 14.2191i 0.124151 + 0.624148i
\(520\) 0.235457 + 0.324130i 0.0103255 + 0.0142141i
\(521\) −10.4241 2.07348i −0.456687 0.0908407i −0.0386142 0.999254i \(-0.512294\pi\)
−0.418073 + 0.908413i \(0.637294\pi\)
\(522\) 0.204105 0.564560i 0.00893345 0.0247101i
\(523\) 26.2870 + 21.5732i 1.14945 + 0.943329i 0.998974 0.0452843i \(-0.0144194\pi\)
0.150476 + 0.988614i \(0.451919\pi\)
\(524\) −0.577645 + 2.80713i −0.0252345 + 0.122630i
\(525\) 2.87169 + 1.53495i 0.125331 + 0.0669908i
\(526\) 9.56904 12.8138i 0.417230 0.558709i
\(527\) 0.0694865 + 0.167755i 0.00302688 + 0.00730753i
\(528\) −2.37400 3.65644i −0.103315 0.159126i
\(529\) −8.02653 + 19.3778i −0.348980 + 0.842511i
\(530\) −2.26139 3.80127i −0.0982285 0.165117i
\(531\) −0.194441 + 0.0589830i −0.00843801 + 0.00255964i
\(532\) −1.94745 + 0.791655i −0.0844329 + 0.0343226i
\(533\) 0.157344 + 1.59754i 0.00681534 + 0.0691973i
\(534\) −0.201326 4.39367i −0.00871222 0.190133i
\(535\) −1.51830 + 1.01450i −0.0656420 + 0.0438606i
\(536\) −2.58546 4.41198i −0.111675 0.190568i
\(537\) −9.68083 + 14.4884i −0.417759 + 0.625220i
\(538\) 8.89252 + 36.0042i 0.383384 + 1.55225i
\(539\) 6.80396 + 2.06396i 0.293067 + 0.0889010i
\(540\) −1.05679 + 0.0970519i −0.0454770 + 0.00417645i
\(541\) −26.6714 32.4992i −1.14669 1.39725i −0.904208 0.427093i \(-0.859538\pi\)
−0.242484 0.970155i \(-0.577962\pi\)
\(542\) −0.769614 + 1.61343i −0.0330578 + 0.0693026i
\(543\) −11.0286 + 11.0286i −0.473283 + 0.473283i
\(544\) −2.06008 + 0.270952i −0.0883251 + 0.0116170i
\(545\) −1.32620 1.32620i −0.0568080 0.0568080i
\(546\) 0.245576 0.0869560i 0.0105097 0.00372137i
\(547\) 7.55905 6.20355i 0.323202 0.265245i −0.458775 0.888553i \(-0.651712\pi\)
0.781977 + 0.623308i \(0.214212\pi\)
\(548\) 7.69049 24.7630i 0.328522 1.05782i
\(549\) 2.23112 7.35500i 0.0952217 0.313904i
\(550\) 6.22559 + 3.75944i 0.265460 + 0.160303i
\(551\) −0.537593 0.359208i −0.0229022 0.0153028i
\(552\) 1.75708 3.62188i 0.0747861 0.154157i
\(553\) 0.180822 + 0.270619i 0.00768932 + 0.0115079i
\(554\) −11.5895 + 12.7026i −0.492392 + 0.539684i
\(555\) 2.17789 0.214504i 0.0924464 0.00910517i
\(556\) −19.1219 + 18.8713i −0.810950 + 0.800323i
\(557\) 8.33178 + 27.4662i 0.353029 + 1.16378i 0.936211 + 0.351439i \(0.114307\pi\)
−0.583182 + 0.812342i \(0.698193\pi\)
\(558\) −0.677590 0.172104i −0.0286847 0.00728575i
\(559\) −0.886859 0.367349i −0.0375101 0.0155372i
\(560\) 1.30075 0.673362i 0.0549669 0.0284547i
\(561\) 0.369851 0.153197i 0.0156151 0.00646800i
\(562\) 7.33315 1.06307i 0.309330 0.0448428i
\(563\) −12.5698 + 23.5165i −0.529754 + 0.991101i 0.464653 + 0.885493i \(0.346179\pi\)
−0.994408 + 0.105608i \(0.966321\pi\)
\(564\) 0.618657 0.912795i 0.0260502 0.0384356i
\(565\) 0.200729 0.244589i 0.00844473 0.0102899i
\(566\) 2.11403 + 4.50815i 0.0888594 + 0.189492i
\(567\) −0.134631 + 0.676836i −0.00565397 + 0.0284244i
\(568\) 20.9657 22.6771i 0.879700 0.951510i
\(569\) 21.8653 4.34929i 0.916643 0.182332i 0.285842 0.958277i \(-0.407727\pi\)
0.630801 + 0.775945i \(0.282727\pi\)
\(570\) −0.171436 + 1.13004i −0.00718066 + 0.0473322i
\(571\) −24.6161 + 13.1576i −1.03015 + 0.550628i −0.897721 0.440565i \(-0.854778\pi\)
−0.132431 + 0.991192i \(0.542278\pi\)
\(572\) 0.557908 0.165229i 0.0233273 0.00690859i
\(573\) 0.974450 9.89376i 0.0407082 0.413318i
\(574\) 5.86093 + 0.307306i 0.244630 + 0.0128267i
\(575\) 6.71557i 0.280059i
\(576\) 3.91002 6.97938i 0.162918 0.290807i
\(577\) 43.7481i 1.82126i 0.413224 + 0.910629i \(0.364403\pi\)
−0.413224 + 0.910629i \(0.635597\pi\)
\(578\) −1.24885 + 23.8181i −0.0519455 + 0.990703i
\(579\) −1.97196 + 20.0216i −0.0819519 + 0.832071i
\(580\) 0.395885 + 0.214974i 0.0164382 + 0.00892630i
\(581\) −7.33310 + 3.91962i −0.304228 + 0.162613i
\(582\) 12.5183 + 1.89913i 0.518901 + 0.0787213i
\(583\) −6.30056 + 1.25326i −0.260942 + 0.0519047i
\(584\) 15.6845 + 34.0291i 0.649030 + 1.40813i
\(585\) 0.0276331 0.138921i 0.00114249 0.00574367i
\(586\) 7.61147 3.56929i 0.314427 0.147446i
\(587\) −16.4100 + 19.9957i −0.677315 + 0.825310i −0.992309 0.123783i \(-0.960497\pi\)
0.314994 + 0.949093i \(0.397997\pi\)
\(588\) 2.46100 + 12.8133i 0.101490 + 0.528413i
\(589\) −0.354937 + 0.664041i −0.0146249 + 0.0273613i
\(590\) −0.0218753 0.150898i −0.000900593 0.00621238i
\(591\) −14.7719 + 6.11873i −0.607635 + 0.251691i
\(592\) −7.96795 + 14.4454i −0.327481 + 0.593702i
\(593\) 18.0180 + 7.46330i 0.739911 + 0.306481i 0.720618 0.693333i \(-0.243858\pi\)
0.0192933 + 0.999814i \(0.493858\pi\)
\(594\) −0.379439 + 1.49389i −0.0155686 + 0.0612950i
\(595\) 0.0390435 + 0.128709i 0.00160063 + 0.00527657i
\(596\) −31.7565 0.209442i −1.30080 0.00857910i
\(597\) −25.0483 + 2.46704i −1.02516 + 0.100969i
\(598\) 0.396915 + 0.362134i 0.0162310 + 0.0148087i
\(599\) 9.17690 + 13.7342i 0.374958 + 0.561164i 0.970177 0.242400i \(-0.0779345\pi\)
−0.595218 + 0.803564i \(0.702934\pi\)
\(600\) −0.786679 + 13.3226i −0.0321161 + 0.543892i
\(601\) 3.31329 + 2.21387i 0.135152 + 0.0903055i 0.621308 0.783566i \(-0.286601\pi\)
−0.486156 + 0.873872i \(0.661601\pi\)
\(602\) −1.81419 + 3.00428i −0.0739409 + 0.122445i
\(603\) −0.524827 + 1.73012i −0.0213726 + 0.0704560i
\(604\) −9.99117 18.9924i −0.406535 0.772790i
\(605\) 4.02469 3.30298i 0.163627 0.134285i
\(606\) 0.948849 + 2.67968i 0.0385444 + 0.108855i
\(607\) 20.7690 + 20.7690i 0.842988 + 0.842988i 0.989246 0.146258i \(-0.0467231\pi\)
−0.146258 + 0.989246i \(0.546723\pi\)
\(608\) −6.28787 5.89071i −0.255007 0.238900i
\(609\) 0.207140 0.207140i 0.00839374 0.00839374i
\(610\) 5.20569 + 2.48315i 0.210772 + 0.100540i
\(611\) 0.0933671 + 0.113768i 0.00377723 + 0.00460257i
\(612\) 0.564783 + 0.469773i 0.0228300 + 0.0189895i
\(613\) 12.2959 + 3.72991i 0.496625 + 0.150650i 0.528654 0.848837i \(-0.322697\pi\)
−0.0320288 + 0.999487i \(0.510197\pi\)
\(614\) −5.32307 + 1.31472i −0.214822 + 0.0530578i
\(615\) 1.77280 2.65318i 0.0714862 0.106987i
\(616\) −0.291311 2.10728i −0.0117372 0.0849047i
\(617\) −32.0599 + 21.4218i −1.29068 + 0.862407i −0.995658 0.0930819i \(-0.970328\pi\)
−0.295026 + 0.955489i \(0.595328\pi\)
\(618\) −19.7335 + 0.904224i −0.793797 + 0.0363732i
\(619\) −1.42114 14.4290i −0.0571203 0.579952i −0.980561 0.196212i \(-0.937136\pi\)
0.923441 0.383740i \(-0.125364\pi\)
\(620\) 0.203953 0.483346i 0.00819097 0.0194116i
\(621\) −1.36197 + 0.413150i −0.0546541 + 0.0165792i
\(622\) 39.5709 23.5408i 1.58665 0.943902i
\(623\) 0.821328 1.98286i 0.0329058 0.0794417i
\(624\) 0.744991 + 0.764908i 0.0298235 + 0.0306208i
\(625\) −7.98122 19.2684i −0.319249 0.770735i
\(626\) 19.6307 + 14.6597i 0.784601 + 0.585920i
\(627\) 1.46402 + 0.782533i 0.0584672 + 0.0312513i
\(628\) 10.9672 7.22389i 0.437639 0.288265i
\(629\) −1.17103 0.961040i −0.0466921 0.0383192i
\(630\) −0.487004 0.176066i −0.0194027 0.00701466i
\(631\) −17.1219 3.40577i −0.681614 0.135581i −0.157873 0.987459i \(-0.550464\pi\)
−0.523740 + 0.851878i \(0.675464\pi\)
\(632\) −0.697085 + 1.13735i −0.0277286 + 0.0452412i
\(633\) 2.63649 + 13.2545i 0.104791 + 0.526820i
\(634\) 25.4043 18.7116i 1.00893 0.743132i
\(635\) 0.0706242 + 0.132129i 0.00280263 + 0.00524336i
\(636\) −7.41824 9.16171i −0.294153 0.363285i
\(637\) −1.73306 0.170691i −0.0686662 0.00676303i
\(638\) 0.486235 0.437786i 0.0192502 0.0173321i
\(639\) −10.9191 −0.431952
\(640\) 4.73804 + 3.68648i 0.187288 + 0.145721i
\(641\) −27.8858 −1.10142 −0.550711 0.834696i \(-0.685644\pi\)
−0.550711 + 0.834696i \(0.685644\pi\)
\(642\) −3.61683 + 3.25644i −0.142745 + 0.128522i
\(643\) −4.86475 0.479136i −0.191847 0.0188953i 0.00163717 0.999999i \(-0.499479\pi\)
−0.193484 + 0.981103i \(0.561979\pi\)
\(644\) 1.52666 1.23614i 0.0601590 0.0487108i
\(645\) 0.899492 + 1.68283i 0.0354175 + 0.0662614i
\(646\) 0.637047 0.469218i 0.0250643 0.0184611i
\(647\) 0.904593 + 4.54770i 0.0355632 + 0.178788i 0.994484 0.104884i \(-0.0334471\pi\)
−0.958921 + 0.283673i \(0.908447\pi\)
\(648\) −2.75033 + 0.660076i −0.108043 + 0.0259302i
\(649\) −0.217198 0.0432033i −0.00852575 0.00169588i
\(650\) −1.67514 0.605612i −0.0657042 0.0237540i
\(651\) −0.263707 0.216419i −0.0103355 0.00848213i
\(652\) −4.53225 6.88081i −0.177497 0.269473i
\(653\) 16.0057 + 8.55524i 0.626353 + 0.334792i 0.753850 0.657046i \(-0.228194\pi\)
−0.127497 + 0.991839i \(0.540694\pi\)
\(654\) −4.00514 2.99093i −0.156613 0.116955i
\(655\) 0.290978 + 0.702484i 0.0113695 + 0.0274483i
\(656\) 8.91137 + 22.3430i 0.347931 + 0.872349i
\(657\) 5.06962 12.2391i 0.197785 0.477494i
\(658\) 0.462439 0.275106i 0.0180277 0.0107248i
\(659\) −14.0973 + 4.27637i −0.549153 + 0.166584i −0.552655 0.833410i \(-0.686385\pi\)
0.00350214 + 0.999994i \(0.498885\pi\)
\(660\) −1.06564 0.449658i −0.0414798 0.0175029i
\(661\) 1.21392 + 12.3251i 0.0472159 + 0.479391i 0.989495 + 0.144564i \(0.0461780\pi\)
−0.942279 + 0.334827i \(0.891322\pi\)
\(662\) 9.84858 0.451280i 0.382776 0.0175395i
\(663\) −0.0815249 + 0.0544732i −0.00316616 + 0.00211556i
\(664\) −27.1707 20.5709i −1.05443 0.798307i
\(665\) −0.309862 + 0.463741i −0.0120159 + 0.0179831i
\(666\) 5.66248 1.39855i 0.219417 0.0541927i
\(667\) 0.578147 + 0.175379i 0.0223860 + 0.00679071i
\(668\) 17.5502 21.0996i 0.679036 0.816369i
\(669\) 8.21366 + 10.0084i 0.317558 + 0.386946i
\(670\) −1.22454 0.584113i −0.0473081 0.0225662i
\(671\) 5.92327 5.92327i 0.228665 0.228665i
\(672\) 3.17345 2.27346i 0.122419 0.0877007i
\(673\) 19.8744 + 19.8744i 0.766103 + 0.766103i 0.977418 0.211315i \(-0.0677745\pi\)
−0.211315 + 0.977418i \(0.567775\pi\)
\(674\) 3.24347 + 9.16002i 0.124934 + 0.352831i
\(675\) 3.64741 2.99335i 0.140389 0.115214i
\(676\) 22.8842 12.0385i 0.880160 0.463018i
\(677\) 8.94993 29.5040i 0.343974 1.13393i −0.598912 0.800814i \(-0.704400\pi\)
0.942886 0.333115i \(-0.108100\pi\)
\(678\) 0.435927 0.721892i 0.0167417 0.0277241i
\(679\) 5.13721 + 3.43257i 0.197148 + 0.131730i
\(680\) −0.412103 + 0.366148i −0.0158034 + 0.0140411i
\(681\) 2.96893 + 4.44331i 0.113770 + 0.170268i
\(682\) −0.562870 0.513547i −0.0215534 0.0196647i
\(683\) −19.6582 + 1.93616i −0.752200 + 0.0740852i −0.466848 0.884338i \(-0.654610\pi\)
−0.285352 + 0.958423i \(0.592110\pi\)
\(684\) −0.0200905 + 3.04620i −0.000768179 + 0.116474i
\(685\) −1.99699 6.58318i −0.0763009 0.251530i
\(686\) −3.24916 + 12.7922i −0.124053 + 0.488410i
\(687\) 11.6210 + 4.81357i 0.443368 + 0.183649i
\(688\) −14.2952 1.59860i −0.544999 0.0609460i
\(689\) 1.45362 0.602111i 0.0553787 0.0229386i
\(690\) −0.153227 1.05698i −0.00583326 0.0402384i
\(691\) 6.78094 12.6862i 0.257959 0.482607i −0.719288 0.694712i \(-0.755532\pi\)
0.977247 + 0.212105i \(0.0680318\pi\)
\(692\) −28.4748 + 5.46902i −1.08245 + 0.207901i
\(693\) −0.477141 + 0.581398i −0.0181251 + 0.0220855i
\(694\) 14.6417 6.86600i 0.555790 0.260630i
\(695\) −1.39056 + 6.99081i −0.0527469 + 0.265177i
\(696\) 1.12640 + 0.415649i 0.0426962 + 0.0157551i
\(697\) −2.16643 + 0.430930i −0.0820595 + 0.0163226i
\(698\) −0.0409764 0.00621645i −0.00155098 0.000235296i
\(699\) −20.8031 + 11.1195i −0.786846 + 0.420578i
\(700\) −3.10771 + 5.72301i −0.117461 + 0.216310i
\(701\) 4.10082 41.6363i 0.154886 1.57258i −0.532589 0.846374i \(-0.678781\pi\)
0.687475 0.726208i \(-0.258719\pi\)
\(702\) 0.0197667 0.376990i 0.000746045 0.0142286i
\(703\) 6.28185i 0.236924i
\(704\) 7.34403 4.69966i 0.276789 0.177125i
\(705\) 0.292555i 0.0110183i
\(706\) 6.19496 + 0.324820i 0.233150 + 0.0122248i
\(707\) −0.135966 + 1.38048i −0.00511351 + 0.0519184i
\(708\) −0.115399 0.389651i −0.00433695 0.0146440i
\(709\) 20.3040 10.8527i 0.762531 0.407581i −0.0438043 0.999040i \(-0.513948\pi\)
0.806335 + 0.591459i \(0.201448\pi\)
\(710\) 1.22900 8.10107i 0.0461234 0.304028i
\(711\) 0.462569 0.0920106i 0.0173477 0.00345067i
\(712\) 8.78980 0.344689i 0.329412 0.0129178i
\(713\) 0.137261 0.690058i 0.00514047 0.0258429i
\(714\) 0.152198 + 0.324560i 0.00569586 + 0.0121464i
\(715\) 0.0979333 0.119332i 0.00366250 0.00446277i
\(716\) −28.8484 19.5523i −1.07812 0.730705i
\(717\) 10.3916 19.4412i 0.388080 0.726046i
\(718\) 25.5606 3.70545i 0.953912 0.138286i
\(719\) −40.0413 + 16.5857i −1.49329 + 0.618541i −0.972030 0.234857i \(-0.924538\pi\)
−0.521260 + 0.853398i \(0.674538\pi\)
\(720\) −0.180160 2.11482i −0.00671418 0.0788145i
\(721\) −8.90571 3.68887i −0.331666 0.137381i
\(722\) −22.8632 5.80713i −0.850881 0.216119i
\(723\) −0.371847 1.22582i −0.0138291 0.0455886i
\(724\) −21.9113 22.2022i −0.814326 0.825139i
\(725\) −1.99330 + 0.196323i −0.0740292 + 0.00729124i
\(726\) 9.35274 10.2510i 0.347113 0.380451i
\(727\) 18.8299 + 28.1809i 0.698362 + 1.04517i 0.995900 + 0.0904629i \(0.0288346\pi\)
−0.297538 + 0.954710i \(0.596165\pi\)
\(728\) 0.170669 + 0.492288i 0.00632541 + 0.0182454i
\(729\) 0.831470 + 0.555570i 0.0307952 + 0.0205767i
\(730\) 8.50984 + 5.13882i 0.314963 + 0.190196i
\(731\) 0.383429 1.26400i 0.0141817 0.0467506i
\(732\) 14.6803 + 4.55915i 0.542598 + 0.168511i
\(733\) −20.5401 + 16.8568i −0.758664 + 0.622620i −0.932090 0.362227i \(-0.882016\pi\)
0.173425 + 0.984847i \(0.444516\pi\)
\(734\) 30.3251 10.7378i 1.11932 0.396341i
\(735\) 2.44774 + 2.44774i 0.0902864 + 0.0902864i
\(736\) 7.22043 + 3.56185i 0.266148 + 0.131291i
\(737\) −1.39334 + 1.39334i −0.0513242 + 0.0513242i
\(738\) 3.66151 7.67602i 0.134782 0.282558i
\(739\) −14.9133 18.1718i −0.548593 0.668462i 0.422722 0.906259i \(-0.361075\pi\)
−0.971315 + 0.237797i \(0.923575\pi\)
\(740\) 0.400271 + 4.35852i 0.0147143 + 0.160222i
\(741\) −0.389075 0.118024i −0.0142930 0.00433574i
\(742\) −1.37932 5.58461i −0.0506363 0.205017i
\(743\) 14.6427 21.9143i 0.537187 0.803957i −0.459249 0.888307i \(-0.651882\pi\)
0.996436 + 0.0843506i \(0.0268816\pi\)
\(744\) 0.353138 1.35288i 0.0129467 0.0495990i
\(745\) −7.00553 + 4.68094i −0.256663 + 0.171496i
\(746\) −0.760213 16.5906i −0.0278334 0.607426i
\(747\) 1.18100 + 11.9909i 0.0432106 + 0.438724i
\(748\) 0.301510 + 0.741707i 0.0110243 + 0.0271195i
\(749\) −2.27260 + 0.689387i −0.0830392 + 0.0251897i
\(750\) 3.72860 + 6.26757i 0.136149 + 0.228859i
\(751\) 13.7357 33.1609i 0.501223 1.21006i −0.447595 0.894236i \(-0.647720\pi\)
0.948818 0.315823i \(-0.102280\pi\)
\(752\) 1.81739 + 1.24933i 0.0662734 + 0.0455583i
\(753\) −6.12831 14.7950i −0.223328 0.539161i
\(754\) −0.0958842 + 0.128398i −0.00349190 + 0.00467597i
\(755\) −5.02127 2.68393i −0.182743 0.0976781i
\(756\) −1.35187 0.278184i −0.0491669 0.0101174i
\(757\) −25.8658 21.2275i −0.940107 0.771526i 0.0335751 0.999436i \(-0.489311\pi\)
−0.973682 + 0.227910i \(0.926811\pi\)
\(758\) 14.9317 41.3013i 0.542342 1.50013i
\(759\) −1.52138 0.302620i −0.0552224 0.0109844i
\(760\) −2.25777 0.357770i −0.0818979 0.0129777i
\(761\) 1.85619 + 9.33169i 0.0672868 + 0.338273i 0.999735 0.0230308i \(-0.00733159\pi\)
−0.932448 + 0.361304i \(0.882332\pi\)
\(762\) 0.236804 + 0.321503i 0.00857850 + 0.0116468i
\(763\) −1.14984 2.15119i −0.0416269 0.0778784i
\(764\) 19.7742 + 2.07936i 0.715407 + 0.0752286i
\(765\) 0.193963 + 0.0191037i 0.00701275 + 0.000690696i
\(766\) 16.0902 + 17.8709i 0.581364 + 0.645703i
\(767\) 0.0542392 0.00195846
\(768\) 13.9069 + 7.91193i 0.501821 + 0.285497i
\(769\) −20.9687 −0.756151 −0.378075 0.925775i \(-0.623414\pi\)
−0.378075 + 0.925775i \(0.623414\pi\)
\(770\) −0.377646 0.419439i −0.0136094 0.0151155i
\(771\) −13.8071 1.35988i −0.497252 0.0489750i
\(772\) −40.0164 4.20793i −1.44022 0.151447i
\(773\) −3.77967