Properties

Label 392.2.z.a.109.4
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.4
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.34815 - 0.427180i) q^{2} +(-0.281677 - 1.86880i) q^{3} +(1.63503 + 1.15181i) q^{4} +(2.47215 + 0.970246i) q^{5} +(-0.418573 + 2.63976i) q^{6} +(-2.31027 - 1.28943i) q^{7} +(-1.71225 - 2.25127i) q^{8} +(-0.546363 + 0.168531i) q^{9} +O(q^{10})\) \(q+(-1.34815 - 0.427180i) q^{2} +(-0.281677 - 1.86880i) q^{3} +(1.63503 + 1.15181i) q^{4} +(2.47215 + 0.970246i) q^{5} +(-0.418573 + 2.63976i) q^{6} +(-2.31027 - 1.28943i) q^{7} +(-1.71225 - 2.25127i) q^{8} +(-0.546363 + 0.168531i) q^{9} +(-2.91836 - 2.36409i) q^{10} +(0.464619 - 1.50626i) q^{11} +(1.69195 - 3.37999i) q^{12} +(0.149412 - 0.0341022i) q^{13} +(2.56378 + 2.72525i) q^{14} +(1.11685 - 4.89325i) q^{15} +(1.34667 + 3.76649i) q^{16} +(0.505930 - 0.344937i) q^{17} +(0.808575 + 0.00619041i) q^{18} +(6.85602 - 3.95832i) q^{19} +(2.92451 + 4.43383i) q^{20} +(-1.75894 + 4.68065i) q^{21} +(-1.26982 + 1.83219i) q^{22} +(-2.07435 - 1.41427i) q^{23} +(-3.72488 + 3.83398i) q^{24} +(1.50488 + 1.39632i) q^{25} +(-0.215998 - 0.0178507i) q^{26} +(-1.99116 - 4.13468i) q^{27} +(-2.29220 - 4.76926i) q^{28} +(1.12566 - 2.33746i) q^{29} +(-3.59599 + 6.11975i) q^{30} +(-2.17356 + 3.76472i) q^{31} +(-0.206547 - 5.65308i) q^{32} +(-2.94577 - 0.444004i) q^{33} +(-0.829421 + 0.248905i) q^{34} +(-4.46027 - 5.42920i) q^{35} +(-1.08744 - 0.353753i) q^{36} +(0.622332 - 0.0466374i) q^{37} +(-10.9339 + 2.40767i) q^{38} +(-0.105816 - 0.269615i) q^{39} +(-2.04864 - 7.22677i) q^{40} +(-5.51088 - 6.91042i) q^{41} +(4.37080 - 5.55885i) q^{42} +(-3.95280 - 3.15225i) q^{43} +(2.49459 - 1.92763i) q^{44} +(-1.51421 - 0.113474i) q^{45} +(2.19240 + 2.79278i) q^{46} +(-4.42087 + 4.10196i) q^{47} +(6.65951 - 3.57760i) q^{48} +(3.67474 + 5.95788i) q^{49} +(-1.43232 - 2.52531i) q^{50} +(-0.787128 - 0.848322i) q^{51} +(0.283572 + 0.116335i) q^{52} +(0.0118368 + 0.000887047i) q^{53} +(0.918130 + 6.42476i) q^{54} +(2.61005 - 3.27290i) q^{55} +(1.05290 + 7.40887i) q^{56} +(-9.32851 - 11.6976i) q^{57} +(-2.51608 + 2.67039i) q^{58} +(-4.81611 + 1.89018i) q^{59} +(7.46218 - 6.71423i) q^{60} +(8.84122 - 0.662558i) q^{61} +(4.53851 - 4.14692i) q^{62} +(1.47956 + 0.315145i) q^{63} +(-2.13643 + 7.70945i) q^{64} +(0.402455 + 0.0606604i) q^{65} +(3.78168 + 1.85696i) q^{66} +(12.0906 + 6.98052i) q^{67} +(1.22451 + 0.0187507i) q^{68} +(-2.05870 + 4.27492i) q^{69} +(3.69389 + 9.22473i) q^{70} +(10.8194 - 5.21036i) q^{71} +(1.31492 + 0.941445i) q^{72} +(4.24724 + 3.94086i) q^{73} +(-0.858922 - 0.202974i) q^{74} +(2.18556 - 3.20563i) q^{75} +(15.7691 + 1.42483i) q^{76} +(-3.01561 + 2.88078i) q^{77} +(0.0274821 + 0.408685i) q^{78} +(3.68628 + 6.38482i) q^{79} +(-0.325257 + 10.6179i) q^{80} +(-8.58328 + 5.85198i) q^{81} +(4.47751 + 11.6704i) q^{82} +(-3.36164 - 0.767273i) q^{83} +(-8.26714 + 5.62706i) q^{84} +(1.58541 - 0.361859i) q^{85} +(3.98240 + 5.93827i) q^{86} +(-4.68532 - 1.44523i) q^{87} +(-4.18654 + 1.53310i) q^{88} +(-6.79630 + 2.09638i) q^{89} +(1.99291 + 0.799820i) q^{90} +(-0.389155 - 0.113870i) q^{91} +(-1.76267 - 4.70164i) q^{92} +(7.64776 + 3.00152i) q^{93} +(7.71228 - 3.64157i) q^{94} +(20.7896 - 3.13353i) q^{95} +(-10.5063 + 1.97834i) q^{96} +1.13201 q^{97} +(-2.40902 - 9.60191i) q^{98} +0.901268i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} + O(q^{10}) \) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34815 0.427180i −0.953288 0.302062i
\(3\) −0.281677 1.86880i −0.162626 1.07895i −0.910018 0.414570i \(-0.863932\pi\)
0.747391 0.664384i \(-0.231306\pi\)
\(4\) 1.63503 + 1.15181i 0.817517 + 0.575905i
\(5\) 2.47215 + 0.970246i 1.10558 + 0.433907i 0.846737 0.532012i \(-0.178564\pi\)
0.258841 + 0.965920i \(0.416659\pi\)
\(6\) −0.418573 + 2.63976i −0.170882 + 1.07768i
\(7\) −2.31027 1.28943i −0.873202 0.487359i
\(8\) −1.71225 2.25127i −0.605370 0.795944i
\(9\) −0.546363 + 0.168531i −0.182121 + 0.0561769i
\(10\) −2.91836 2.36409i −0.922867 0.747592i
\(11\) 0.464619 1.50626i 0.140088 0.454154i −0.858156 0.513389i \(-0.828390\pi\)
0.998244 + 0.0592347i \(0.0188660\pi\)
\(12\) 1.69195 3.37999i 0.488425 0.975720i
\(13\) 0.149412 0.0341022i 0.0414394 0.00945826i −0.201751 0.979437i \(-0.564663\pi\)
0.243190 + 0.969979i \(0.421806\pi\)
\(14\) 2.56378 + 2.72525i 0.685200 + 0.728355i
\(15\) 1.11685 4.89325i 0.288370 1.26343i
\(16\) 1.34667 + 3.76649i 0.336668 + 0.941623i
\(17\) 0.505930 0.344937i 0.122706 0.0836595i −0.500412 0.865787i \(-0.666818\pi\)
0.623118 + 0.782128i \(0.285866\pi\)
\(18\) 0.808575 + 0.00619041i 0.190583 + 0.00145909i
\(19\) 6.85602 3.95832i 1.57288 0.908102i 0.577064 0.816699i \(-0.304198\pi\)
0.995814 0.0914030i \(-0.0291351\pi\)
\(20\) 2.92451 + 4.43383i 0.653939 + 0.991434i
\(21\) −1.75894 + 4.68065i −0.383832 + 1.02140i
\(22\) −1.26982 + 1.83219i −0.270727 + 0.390625i
\(23\) −2.07435 1.41427i −0.432533 0.294896i 0.327414 0.944881i \(-0.393823\pi\)
−0.759947 + 0.649985i \(0.774775\pi\)
\(24\) −3.72488 + 3.83398i −0.760338 + 0.782608i
\(25\) 1.50488 + 1.39632i 0.300975 + 0.279264i
\(26\) −0.215998 0.0178507i −0.0423606 0.00350081i
\(27\) −1.99116 4.13468i −0.383198 0.795720i
\(28\) −2.29220 4.76926i −0.433185 0.901305i
\(29\) 1.12566 2.33746i 0.209030 0.434055i −0.769924 0.638135i \(-0.779706\pi\)
0.978954 + 0.204080i \(0.0654203\pi\)
\(30\) −3.59599 + 6.11975i −0.656535 + 1.11731i
\(31\) −2.17356 + 3.76472i −0.390383 + 0.676164i −0.992500 0.122244i \(-0.960991\pi\)
0.602117 + 0.798408i \(0.294324\pi\)
\(32\) −0.206547 5.65308i −0.0365127 0.999333i
\(33\) −2.94577 0.444004i −0.512793 0.0772912i
\(34\) −0.829421 + 0.248905i −0.142245 + 0.0426868i
\(35\) −4.46027 5.42920i −0.753924 0.917702i
\(36\) −1.08744 0.353753i −0.181240 0.0589588i
\(37\) 0.622332 0.0466374i 0.102311 0.00766713i −0.0234763 0.999724i \(-0.507473\pi\)
0.125787 + 0.992057i \(0.459854\pi\)
\(38\) −10.9339 + 2.40767i −1.77371 + 0.390576i
\(39\) −0.105816 0.269615i −0.0169441 0.0431730i
\(40\) −2.04864 7.22677i −0.323918 1.14265i
\(41\) −5.51088 6.91042i −0.860654 1.07923i −0.996082 0.0884390i \(-0.971812\pi\)
0.135427 0.990787i \(-0.456759\pi\)
\(42\) 4.37080 5.55885i 0.674430 0.857749i
\(43\) −3.95280 3.15225i −0.602796 0.480714i 0.273900 0.961758i \(-0.411686\pi\)
−0.876696 + 0.481045i \(0.840258\pi\)
\(44\) 2.49459 1.92763i 0.376074 0.290601i
\(45\) −1.51421 0.113474i −0.225725 0.0169157i
\(46\) 2.19240 + 2.79278i 0.323251 + 0.411772i
\(47\) −4.42087 + 4.10196i −0.644850 + 0.598333i −0.933272 0.359170i \(-0.883060\pi\)
0.288422 + 0.957503i \(0.406869\pi\)
\(48\) 6.65951 3.57760i 0.961217 0.516382i
\(49\) 3.67474 + 5.95788i 0.524963 + 0.851125i
\(50\) −1.43232 2.52531i −0.202561 0.357132i
\(51\) −0.787128 0.848322i −0.110220 0.118789i
\(52\) 0.283572 + 0.116335i 0.0393244 + 0.0161328i
\(53\) 0.0118368 0.000887047i 0.00162591 0.000121845i 0.0755430 0.997143i \(-0.475931\pi\)
−0.0739171 + 0.997264i \(0.523550\pi\)
\(54\) 0.918130 + 6.42476i 0.124942 + 0.874300i
\(55\) 2.61005 3.27290i 0.351939 0.441318i
\(56\) 1.05290 + 7.40887i 0.140700 + 0.990052i
\(57\) −9.32851 11.6976i −1.23559 1.54938i
\(58\) −2.51608 + 2.67039i −0.330378 + 0.350640i
\(59\) −4.81611 + 1.89018i −0.627004 + 0.246081i −0.657501 0.753454i \(-0.728386\pi\)
0.0304965 + 0.999535i \(0.490291\pi\)
\(60\) 7.46218 6.71423i 0.963364 0.866803i
\(61\) 8.84122 0.662558i 1.13200 0.0848319i 0.504475 0.863426i \(-0.331686\pi\)
0.627528 + 0.778594i \(0.284067\pi\)
\(62\) 4.53851 4.14692i 0.576391 0.526659i
\(63\) 1.47956 + 0.315145i 0.186407 + 0.0397045i
\(64\) −2.13643 + 7.70945i −0.267054 + 0.963682i
\(65\) 0.402455 + 0.0606604i 0.0499184 + 0.00752399i
\(66\) 3.78168 + 1.85696i 0.465493 + 0.228576i
\(67\) 12.0906 + 6.98052i 1.47710 + 0.852806i 0.999666 0.0258592i \(-0.00823214\pi\)
0.477438 + 0.878665i \(0.341565\pi\)
\(68\) 1.22451 + 0.0187507i 0.148494 + 0.00227386i
\(69\) −2.05870 + 4.27492i −0.247838 + 0.514640i
\(70\) 3.69389 + 9.22473i 0.441504 + 1.10257i
\(71\) 10.8194 5.21036i 1.28403 0.618356i 0.337607 0.941287i \(-0.390382\pi\)
0.946423 + 0.322931i \(0.104668\pi\)
\(72\) 1.31492 + 0.941445i 0.154964 + 0.110950i
\(73\) 4.24724 + 3.94086i 0.497101 + 0.461243i 0.888433 0.459007i \(-0.151795\pi\)
−0.391331 + 0.920250i \(0.627985\pi\)
\(74\) −0.858922 0.202974i −0.0998476 0.0235952i
\(75\) 2.18556 3.20563i 0.252367 0.370154i
\(76\) 15.7691 + 1.42483i 1.80883 + 0.163439i
\(77\) −3.01561 + 2.88078i −0.343661 + 0.328295i
\(78\) 0.0274821 + 0.408685i 0.00311173 + 0.0462745i
\(79\) 3.68628 + 6.38482i 0.414738 + 0.718348i 0.995401 0.0957963i \(-0.0305397\pi\)
−0.580663 + 0.814144i \(0.697206\pi\)
\(80\) −0.325257 + 10.6179i −0.0363648 + 1.18712i
\(81\) −8.58328 + 5.85198i −0.953698 + 0.650220i
\(82\) 4.47751 + 11.6704i 0.494458 + 1.28878i
\(83\) −3.36164 0.767273i −0.368988 0.0842192i 0.0340061 0.999422i \(-0.489173\pi\)
−0.402994 + 0.915202i \(0.632031\pi\)
\(84\) −8.26714 + 5.62706i −0.902019 + 0.613962i
\(85\) 1.58541 0.361859i 0.171962 0.0392491i
\(86\) 3.98240 + 5.93827i 0.429433 + 0.640340i
\(87\) −4.68532 1.44523i −0.502319 0.154945i
\(88\) −4.18654 + 1.53310i −0.446286 + 0.163429i
\(89\) −6.79630 + 2.09638i −0.720407 + 0.222216i −0.633215 0.773976i \(-0.718265\pi\)
−0.0871912 + 0.996192i \(0.527789\pi\)
\(90\) 1.99291 + 0.799820i 0.210071 + 0.0843085i
\(91\) −0.389155 0.113870i −0.0407945 0.0119369i
\(92\) −1.76267 4.70164i −0.183771 0.490180i
\(93\) 7.64776 + 3.00152i 0.793036 + 0.311244i
\(94\) 7.71228 3.64157i 0.795461 0.375599i
\(95\) 20.7896 3.13353i 2.13297 0.321494i
\(96\) −10.5063 + 1.97834i −1.07230 + 0.201913i
\(97\) 1.13201 0.114938 0.0574689 0.998347i \(-0.481697\pi\)
0.0574689 + 0.998347i \(0.481697\pi\)
\(98\) −2.40902 9.60191i −0.243348 0.969939i
\(99\) 0.901268i 0.0905808i
\(100\) 0.852228 + 4.01636i 0.0852228 + 0.401636i
\(101\) 1.04827 + 6.95484i 0.104307 + 0.692032i 0.978468 + 0.206397i \(0.0661737\pi\)
−0.874161 + 0.485636i \(0.838588\pi\)
\(102\) 0.698782 + 1.47991i 0.0691898 + 0.146533i
\(103\) −7.20249 + 18.3516i −0.709682 + 1.80824i −0.133273 + 0.991079i \(0.542549\pi\)
−0.576409 + 0.817161i \(0.695547\pi\)
\(104\) −0.332603 0.277975i −0.0326144 0.0272577i
\(105\) −8.88974 + 9.86465i −0.867550 + 0.962691i
\(106\) −0.0155789 0.00625233i −0.00151316 0.000607280i
\(107\) −5.10142 16.5384i −0.493173 1.59883i −0.770090 0.637935i \(-0.779789\pi\)
0.276917 0.960894i \(-0.410687\pi\)
\(108\) 1.50675 9.05377i 0.144987 0.871200i
\(109\) −0.561055 + 1.81890i −0.0537394 + 0.174219i −0.978464 0.206419i \(-0.933819\pi\)
0.924724 + 0.380637i \(0.124295\pi\)
\(110\) −4.91687 + 3.29741i −0.468805 + 0.314395i
\(111\) −0.262453 1.14988i −0.0249109 0.109142i
\(112\) 1.74545 10.4381i 0.164930 0.986305i
\(113\) 2.89053 12.6642i 0.271918 1.19135i −0.635827 0.771831i \(-0.719341\pi\)
0.907746 0.419521i \(-0.137802\pi\)
\(114\) 7.57928 + 19.7551i 0.709865 + 1.85023i
\(115\) −3.75592 5.50892i −0.350241 0.513709i
\(116\) 4.53280 2.52528i 0.420860 0.234466i
\(117\) −0.0758858 + 0.0438127i −0.00701565 + 0.00405049i
\(118\) 7.30031 0.490910i 0.672048 0.0451919i
\(119\) −1.61361 + 0.144538i −0.147919 + 0.0132498i
\(120\) −12.9284 + 5.86411i −1.18019 + 0.535318i
\(121\) 7.03568 + 4.79685i 0.639607 + 0.436077i
\(122\) −12.2024 2.88357i −1.10475 0.261066i
\(123\) −11.3619 + 12.2452i −1.02447 + 1.10412i
\(124\) −7.89008 + 3.65191i −0.708551 + 0.327952i
\(125\) −3.39589 7.05163i −0.303737 0.630717i
\(126\) −1.86005 1.05690i −0.165706 0.0941563i
\(127\) 20.2547 + 9.75414i 1.79731 + 0.865540i 0.929726 + 0.368253i \(0.120044\pi\)
0.867586 + 0.497287i \(0.165670\pi\)
\(128\) 6.17356 9.48088i 0.545671 0.838000i
\(129\) −4.77752 + 8.27491i −0.420637 + 0.728565i
\(130\) −0.516659 0.253701i −0.0453140 0.0222510i
\(131\) −2.21735 + 14.7111i −0.193730 + 1.28532i 0.654651 + 0.755931i \(0.272816\pi\)
−0.848381 + 0.529386i \(0.822422\pi\)
\(132\) −4.30503 4.11893i −0.374705 0.358507i
\(133\) −20.9433 + 0.304459i −1.81601 + 0.0263999i
\(134\) −13.3181 14.5757i −1.15051 1.25915i
\(135\) −0.910775 12.1535i −0.0783871 1.04600i
\(136\) −1.64282 0.548367i −0.140871 0.0470221i
\(137\) 5.35490 + 13.6441i 0.457500 + 1.16569i 0.954572 + 0.297982i \(0.0963134\pi\)
−0.497072 + 0.867710i \(0.665591\pi\)
\(138\) 4.60160 4.88382i 0.391714 0.415738i
\(139\) 12.6669 10.1015i 1.07439 0.856799i 0.0841912 0.996450i \(-0.473169\pi\)
0.990201 + 0.139651i \(0.0445979\pi\)
\(140\) −1.03930 14.0143i −0.0878370 1.18443i
\(141\) 8.91102 + 7.10630i 0.750443 + 0.598458i
\(142\) −16.8120 + 2.40252i −1.41083 + 0.201615i
\(143\) 0.0180528 0.240897i 0.00150965 0.0201448i
\(144\) −1.37054 1.83092i −0.114212 0.152577i
\(145\) 5.05071 4.68638i 0.419439 0.389182i
\(146\) −4.04247 7.12722i −0.334557 0.589853i
\(147\) 10.0990 8.54556i 0.832952 0.704826i
\(148\) 1.07125 + 0.640554i 0.0880563 + 0.0526532i
\(149\) 7.62123 + 8.21373i 0.624356 + 0.672895i 0.963460 0.267854i \(-0.0863144\pi\)
−0.339104 + 0.940749i \(0.610124\pi\)
\(150\) −4.31585 + 3.38805i −0.352388 + 0.276633i
\(151\) 0.369721 4.93359i 0.0300875 0.401490i −0.961745 0.273945i \(-0.911671\pi\)
0.991833 0.127545i \(-0.0407096\pi\)
\(152\) −20.6504 8.65712i −1.67497 0.702185i
\(153\) −0.218289 + 0.273726i −0.0176476 + 0.0221294i
\(154\) 5.29612 2.59552i 0.426774 0.209153i
\(155\) −9.02607 + 7.19805i −0.724991 + 0.578161i
\(156\) 0.137532 0.562710i 0.0110114 0.0450529i
\(157\) 17.0753 6.70154i 1.36275 0.534841i 0.432459 0.901654i \(-0.357646\pi\)
0.930295 + 0.366812i \(0.119551\pi\)
\(158\) −2.24220 10.1824i −0.178380 0.810070i
\(159\) −0.00167644 0.0223706i −0.000132950 0.00177410i
\(160\) 4.97427 14.1757i 0.393250 1.12068i
\(161\) 2.96872 + 5.94209i 0.233968 + 0.468302i
\(162\) 14.0714 4.22276i 1.10556 0.331771i
\(163\) −0.928398 + 6.15952i −0.0727177 + 0.482451i 0.922597 + 0.385765i \(0.126062\pi\)
−0.995315 + 0.0966859i \(0.969176\pi\)
\(164\) −1.05098 17.6462i −0.0820681 1.37794i
\(165\) −6.85159 3.95577i −0.533396 0.307956i
\(166\) 4.20425 + 2.47043i 0.326313 + 0.191743i
\(167\) 6.86341 + 3.30524i 0.531107 + 0.255767i 0.680163 0.733061i \(-0.261909\pi\)
−0.149056 + 0.988829i \(0.547623\pi\)
\(168\) 13.5491 4.05458i 1.04534 0.312817i
\(169\) −11.6914 + 5.63030i −0.899341 + 0.433100i
\(170\) −2.29195 0.189414i −0.175785 0.0145274i
\(171\) −3.07878 + 3.31813i −0.235440 + 0.253744i
\(172\) −2.83217 9.70690i −0.215951 0.740144i
\(173\) −6.99565 + 10.2607i −0.531869 + 0.780109i −0.994308 0.106542i \(-0.966022\pi\)
0.462439 + 0.886651i \(0.346974\pi\)
\(174\) 5.69916 + 3.94987i 0.432052 + 0.299439i
\(175\) −1.67622 5.16632i −0.126710 0.390537i
\(176\) 6.29901 0.278450i 0.474805 0.0209889i
\(177\) 4.88897 + 8.46794i 0.367477 + 0.636489i
\(178\) 10.0580 + 0.0770035i 0.753878 + 0.00577166i
\(179\) 12.2330 + 17.9425i 0.914337 + 1.34109i 0.939913 + 0.341413i \(0.110905\pi\)
−0.0255767 + 0.999673i \(0.508142\pi\)
\(180\) −2.34508 1.92961i −0.174792 0.143825i
\(181\) −17.5334 4.00188i −1.30324 0.297457i −0.486107 0.873899i \(-0.661583\pi\)
−0.817138 + 0.576442i \(0.804441\pi\)
\(182\) 0.475997 + 0.319754i 0.0352832 + 0.0237017i
\(183\) −3.72856 16.3359i −0.275623 1.20758i
\(184\) 0.367899 + 7.09151i 0.0271219 + 0.522793i
\(185\) 1.58375 + 0.488521i 0.116439 + 0.0359168i
\(186\) −9.02816 7.31349i −0.661977 0.536251i
\(187\) −0.284500 0.922326i −0.0208047 0.0674471i
\(188\) −11.9529 + 1.61486i −0.871758 + 0.117776i
\(189\) −0.731262 + 12.1197i −0.0531915 + 0.881579i
\(190\) −29.3662 4.65644i −2.13045 0.337814i
\(191\) 2.57422 6.55900i 0.186264 0.474593i −0.806988 0.590568i \(-0.798904\pi\)
0.993252 + 0.115975i \(0.0369992\pi\)
\(192\) 15.0092 + 1.82099i 1.08320 + 0.131419i
\(193\) 16.6797 2.51406i 1.20063 0.180966i 0.481882 0.876236i \(-0.339954\pi\)
0.718748 + 0.695270i \(0.244715\pi\)
\(194\) −1.52612 0.483571i −0.109569 0.0347183i
\(195\) 0.769196i 0.0550833i
\(196\) −0.854013 + 13.9739i −0.0610010 + 0.998138i
\(197\) 19.2027i 1.36814i 0.729418 + 0.684068i \(0.239791\pi\)
−0.729418 + 0.684068i \(0.760209\pi\)
\(198\) 0.385004 1.21505i 0.0273610 0.0863496i
\(199\) −20.4878 + 3.08805i −1.45235 + 0.218906i −0.827334 0.561710i \(-0.810144\pi\)
−0.625011 + 0.780616i \(0.714906\pi\)
\(200\) 0.566777 5.77872i 0.0400772 0.408617i
\(201\) 9.63957 24.5612i 0.679923 1.73242i
\(202\) 1.55774 9.82399i 0.109602 0.691213i
\(203\) −5.61458 + 3.94871i −0.394066 + 0.277145i
\(204\) −0.309876 2.29366i −0.0216956 0.160588i
\(205\) −6.91889 22.4305i −0.483236 1.56661i
\(206\) 17.5495 21.6641i 1.22273 1.50941i
\(207\) 1.37170 + 0.423113i 0.0953397 + 0.0294084i
\(208\) 0.329654 + 0.516834i 0.0228574 + 0.0358360i
\(209\) −2.77682 12.1661i −0.192077 0.841544i
\(210\) 16.1987 9.50154i 1.11782 0.655668i
\(211\) 2.28476 + 0.521481i 0.157289 + 0.0359003i 0.300440 0.953801i \(-0.402866\pi\)
−0.143151 + 0.989701i \(0.545723\pi\)
\(212\) 0.0183319 + 0.0150841i 0.00125904 + 0.00103598i
\(213\) −12.7847 18.7517i −0.875995 1.28485i
\(214\) −0.187384 + 24.4755i −0.0128093 + 1.67311i
\(215\) −6.71344 11.6280i −0.457852 0.793024i
\(216\) −5.89893 + 11.5622i −0.401371 + 0.786709i
\(217\) 9.87587 5.89488i 0.670418 0.400170i
\(218\) 1.53339 2.21248i 0.103854 0.149848i
\(219\) 6.16834 9.04729i 0.416818 0.611359i
\(220\) 8.03728 2.34502i 0.541873 0.158101i
\(221\) 0.0638287 0.0687910i 0.00429358 0.00462738i
\(222\) −0.137380 + 1.66233i −0.00922033 + 0.111568i
\(223\) −17.7410 + 8.54363i −1.18803 + 0.572124i −0.920240 0.391355i \(-0.872007\pi\)
−0.267787 + 0.963478i \(0.586292\pi\)
\(224\) −6.81208 + 13.3265i −0.455151 + 0.890414i
\(225\) −1.05753 0.509281i −0.0705021 0.0339520i
\(226\) −9.30680 + 15.8386i −0.619079 + 1.05357i
\(227\) −14.6273 8.44505i −0.970845 0.560518i −0.0713513 0.997451i \(-0.522731\pi\)
−0.899494 + 0.436934i \(0.856064\pi\)
\(228\) −1.77905 29.8706i −0.117820 1.97823i
\(229\) −0.391373 + 2.59659i −0.0258627 + 0.171588i −0.998033 0.0626864i \(-0.980033\pi\)
0.972171 + 0.234274i \(0.0752713\pi\)
\(230\) 2.71025 + 9.03132i 0.178709 + 0.595508i
\(231\) 6.23304 + 4.82414i 0.410104 + 0.317405i
\(232\) −7.18966 + 1.46814i −0.472024 + 0.0963880i
\(233\) 0.0797415 + 1.06408i 0.00522404 + 0.0697100i 0.999206 0.0398294i \(-0.0126815\pi\)
−0.993982 + 0.109539i \(0.965062\pi\)
\(234\) 0.121022 0.0266493i 0.00791143 0.00174212i
\(235\) −14.9090 + 5.85133i −0.972553 + 0.381699i
\(236\) −10.0516 2.45673i −0.654306 0.159919i
\(237\) 10.8936 8.68738i 0.707617 0.564306i
\(238\) 2.23714 + 0.494442i 0.145012 + 0.0320499i
\(239\) −9.62604 + 12.0707i −0.622657 + 0.780787i −0.988716 0.149805i \(-0.952135\pi\)
0.366059 + 0.930592i \(0.380707\pi\)
\(240\) 19.9344 2.38298i 1.28676 0.153821i
\(241\) 2.25121 30.0404i 0.145013 1.93507i −0.168930 0.985628i \(-0.554031\pi\)
0.313943 0.949442i \(-0.398350\pi\)
\(242\) −7.43606 9.47239i −0.478008 0.608908i
\(243\) 3.98967 + 4.29984i 0.255938 + 0.275835i
\(244\) 15.2188 + 9.10010i 0.974286 + 0.582574i
\(245\) 3.30389 + 18.2942i 0.211078 + 1.16877i
\(246\) 20.5485 11.6549i 1.31013 0.743088i
\(247\) 0.889382 0.825225i 0.0565900 0.0525078i
\(248\) 12.1971 1.55285i 0.774515 0.0986062i
\(249\) −0.486986 + 6.49837i −0.0308615 + 0.411818i
\(250\) 1.56586 + 10.9573i 0.0990335 + 0.693003i
\(251\) 11.6413 + 9.28361i 0.734791 + 0.585976i 0.917757 0.397143i \(-0.129998\pi\)
−0.182966 + 0.983119i \(0.558570\pi\)
\(252\) 2.05614 + 2.21944i 0.129525 + 0.139812i
\(253\) −3.09404 + 2.46742i −0.194521 + 0.155125i
\(254\) −23.1396 21.8025i −1.45191 1.36801i
\(255\) −1.12281 2.86089i −0.0703134 0.179156i
\(256\) −12.3730 + 10.1445i −0.773310 + 0.634029i
\(257\) −1.57252 20.9839i −0.0980914 1.30894i −0.801432 0.598086i \(-0.795928\pi\)
0.703341 0.710853i \(-0.251691\pi\)
\(258\) 9.97571 9.11498i 0.621061 0.567474i
\(259\) −1.49789 0.694709i −0.0930746 0.0431671i
\(260\) 0.588159 + 0.562734i 0.0364761 + 0.0348993i
\(261\) −0.221086 + 1.46681i −0.0136849 + 0.0907933i
\(262\) 9.27363 18.8856i 0.572927 1.16676i
\(263\) −1.42487 + 2.46795i −0.0878612 + 0.152180i −0.906607 0.421976i \(-0.861337\pi\)
0.818746 + 0.574156i \(0.194670\pi\)
\(264\) 4.04432 + 7.39198i 0.248910 + 0.454945i
\(265\) 0.0284017 + 0.0136775i 0.00174470 + 0.000840205i
\(266\) 28.3648 + 8.53610i 1.73916 + 0.523382i
\(267\) 5.83208 + 12.1104i 0.356918 + 0.741147i
\(268\) 11.7283 + 25.3395i 0.716422 + 1.54785i
\(269\) −4.75498 + 5.12465i −0.289916 + 0.312456i −0.861169 0.508319i \(-0.830267\pi\)
0.571253 + 0.820774i \(0.306458\pi\)
\(270\) −3.96385 + 16.7738i −0.241232 + 1.02082i
\(271\) −19.5550 13.3324i −1.18788 0.809885i −0.202341 0.979315i \(-0.564855\pi\)
−0.985542 + 0.169430i \(0.945807\pi\)
\(272\) 1.98052 + 1.44106i 0.120087 + 0.0873774i
\(273\) −0.103186 + 0.759328i −0.00624507 + 0.0459566i
\(274\) −1.39075 20.6818i −0.0840183 1.24943i
\(275\) 2.80242 1.61798i 0.168992 0.0975676i
\(276\) −8.28993 + 4.61842i −0.498995 + 0.277996i
\(277\) −6.82579 10.0116i −0.410122 0.601539i 0.564490 0.825440i \(-0.309073\pi\)
−0.974612 + 0.223901i \(0.928121\pi\)
\(278\) −21.3921 + 8.20734i −1.28301 + 0.492243i
\(279\) 0.553083 2.42322i 0.0331122 0.145074i
\(280\) −4.58550 + 19.3374i −0.274036 + 1.15563i
\(281\) 0.401577 + 1.75942i 0.0239561 + 0.104958i 0.985492 0.169719i \(-0.0542860\pi\)
−0.961536 + 0.274678i \(0.911429\pi\)
\(282\) −8.97774 13.3870i −0.534617 0.797184i
\(283\) −5.72640 + 18.5645i −0.340399 + 1.10355i 0.609970 + 0.792424i \(0.291181\pi\)
−0.950370 + 0.311123i \(0.899295\pi\)
\(284\) 23.6915 + 3.94280i 1.40583 + 0.233962i
\(285\) −11.7119 37.9691i −0.693754 2.24909i
\(286\) −0.127245 + 0.317055i −0.00752413 + 0.0187478i
\(287\) 3.82113 + 23.0709i 0.225554 + 1.36183i
\(288\) 1.06557 + 3.05383i 0.0627892 + 0.179949i
\(289\) −6.07381 + 15.4758i −0.357283 + 0.910343i
\(290\) −8.81106 + 4.16039i −0.517403 + 0.244306i
\(291\) −0.318860 2.11550i −0.0186919 0.124013i
\(292\) 2.40526 + 11.3354i 0.140757 + 0.663357i
\(293\) 3.92527i 0.229317i 0.993405 + 0.114658i \(0.0365773\pi\)
−0.993405 + 0.114658i \(0.963423\pi\)
\(294\) −17.2655 + 7.20662i −1.00694 + 0.420299i
\(295\) −13.7401 −0.799979
\(296\) −1.17058 1.32118i −0.0680385 0.0767922i
\(297\) −7.15303 + 1.07815i −0.415061 + 0.0625604i
\(298\) −6.76584 14.3290i −0.391935 0.830057i
\(299\) −0.358162 0.140568i −0.0207131 0.00812928i
\(300\) 7.26573 2.72396i 0.419487 0.157268i
\(301\) 5.06744 + 12.3794i 0.292082 + 0.713538i
\(302\) −2.60597 + 6.49330i −0.149957 + 0.373647i
\(303\) 12.7019 3.91803i 0.729708 0.225085i
\(304\) 24.1418 + 20.4926i 1.38463 + 1.17533i
\(305\) 22.4997 + 6.94022i 1.28833 + 0.397396i
\(306\) 0.411217 0.275775i 0.0235077 0.0157650i
\(307\) −6.23578 + 1.42328i −0.355895 + 0.0812306i −0.396730 0.917935i \(-0.629855\pi\)
0.0408356 + 0.999166i \(0.486998\pi\)
\(308\) −8.24874 + 1.23676i −0.470016 + 0.0704708i
\(309\) 36.3244 + 8.29080i 2.06642 + 0.471647i
\(310\) 15.2434 5.84831i 0.865766 0.332162i
\(311\) −12.9451 + 8.82585i −0.734052 + 0.500468i −0.871716 0.490011i \(-0.836993\pi\)
0.137664 + 0.990479i \(0.456040\pi\)
\(312\) −0.425793 + 0.699868i −0.0241058 + 0.0396222i
\(313\) 10.4518 + 18.1031i 0.590772 + 1.02325i 0.994129 + 0.108205i \(0.0345102\pi\)
−0.403356 + 0.915043i \(0.632156\pi\)
\(314\) −25.8828 + 1.74049i −1.46065 + 0.0982217i
\(315\) 3.35192 + 2.21462i 0.188859 + 0.124780i
\(316\) −1.32690 + 14.6853i −0.0746442 + 0.826111i
\(317\) 17.2951 25.3673i 0.971390 1.42477i 0.0671495 0.997743i \(-0.478610\pi\)
0.904240 0.427024i \(-0.140438\pi\)
\(318\) −0.00729616 + 0.0308751i −0.000409148 + 0.00173139i
\(319\) −2.99782 2.78157i −0.167846 0.155738i
\(320\) −12.7616 + 16.9860i −0.713397 + 0.949549i
\(321\) −29.4701 + 14.1920i −1.64486 + 0.792122i
\(322\) −1.46395 9.27902i −0.0815828 0.517100i
\(323\) 2.10329 4.36753i 0.117030 0.243016i
\(324\) −20.7743 0.318113i −1.15413 0.0176730i
\(325\) 0.272464 + 0.157307i 0.0151136 + 0.00872582i
\(326\) 3.88285 7.90738i 0.215051 0.437949i
\(327\) 3.55720 + 0.536161i 0.196713 + 0.0296498i
\(328\) −6.12124 + 24.2388i −0.337989 + 1.33836i
\(329\) 15.5026 3.77627i 0.854687 0.208192i
\(330\) 7.54717 + 8.25985i 0.415458 + 0.454690i
\(331\) −13.8842 + 1.04048i −0.763144 + 0.0571898i −0.450615 0.892718i \(-0.648795\pi\)
−0.312529 + 0.949908i \(0.601176\pi\)
\(332\) −4.61265 5.12649i −0.253152 0.281353i
\(333\) −0.332160 + 0.130363i −0.0182022 + 0.00714385i
\(334\) −7.84099 7.38789i −0.429040 0.404247i
\(335\) 23.1170 + 28.9877i 1.26301 + 1.58377i
\(336\) −19.9984 0.321740i −1.09100 0.0175524i
\(337\) −10.3864 + 13.0242i −0.565786 + 0.709473i −0.979616 0.200881i \(-0.935619\pi\)
0.413830 + 0.910354i \(0.364191\pi\)
\(338\) 18.1670 2.59615i 0.988154 0.141212i
\(339\) −24.4812 1.83461i −1.32963 0.0996423i
\(340\) 3.00899 + 1.23443i 0.163185 + 0.0669466i
\(341\) 4.66076 + 5.02311i 0.252395 + 0.272017i
\(342\) 5.56811 3.15816i 0.301089 0.170774i
\(343\) −0.807392 18.5027i −0.0435950 0.999049i
\(344\) −0.328405 + 14.2962i −0.0177064 + 0.770801i
\(345\) −9.23713 + 8.57080i −0.497310 + 0.461436i
\(346\) 13.8144 10.8446i 0.742666 0.583011i
\(347\) 21.4414 + 1.60681i 1.15103 + 0.0862580i 0.636545 0.771240i \(-0.280363\pi\)
0.514488 + 0.857498i \(0.327982\pi\)
\(348\) −5.99603 7.75960i −0.321421 0.415958i
\(349\) −15.0797 12.0256i −0.807197 0.643718i 0.130393 0.991462i \(-0.458376\pi\)
−0.937589 + 0.347745i \(0.886948\pi\)
\(350\) 0.0528500 + 7.68103i 0.00282495 + 0.410568i
\(351\) −0.438504 0.549867i −0.0234056 0.0293497i
\(352\) −8.61097 2.31542i −0.458966 0.123412i
\(353\) 6.33112 + 16.1314i 0.336971 + 0.858589i 0.994459 + 0.105124i \(0.0335239\pi\)
−0.657488 + 0.753465i \(0.728381\pi\)
\(354\) −2.97374 13.5046i −0.158052 0.717759i
\(355\) 31.8026 2.38327i 1.68790 0.126491i
\(356\) −13.5268 4.40039i −0.716920 0.233220i
\(357\) 0.724630 + 2.97480i 0.0383515 + 0.157443i
\(358\) −8.82726 29.4149i −0.466535 1.55463i
\(359\) −34.5553 5.20837i −1.82376 0.274887i −0.854235 0.519887i \(-0.825974\pi\)
−0.969523 + 0.244999i \(0.921212\pi\)
\(360\) 2.33723 + 3.60318i 0.123183 + 0.189904i
\(361\) 21.8367 37.8222i 1.14930 1.99064i
\(362\) 21.9281 + 12.8851i 1.15252 + 0.677223i
\(363\) 6.98257 14.4995i 0.366490 0.761024i
\(364\) −0.505124 0.634414i −0.0264757 0.0332523i
\(365\) 6.67619 + 13.8632i 0.349448 + 0.725636i
\(366\) −1.95170 + 23.6160i −0.102017 + 1.23443i
\(367\) 21.0092 + 19.4937i 1.09667 + 1.01756i 0.999752 + 0.0222712i \(0.00708972\pi\)
0.0969205 + 0.995292i \(0.469101\pi\)
\(368\) 2.53337 9.71760i 0.132061 0.506565i
\(369\) 4.17556 + 2.84685i 0.217371 + 0.148201i
\(370\) −1.92645 1.33515i −0.100151 0.0694110i
\(371\) −0.0262025 0.0173121i −0.00136037 0.000898799i
\(372\) 9.04716 + 13.7164i 0.469073 + 0.711160i
\(373\) 13.6176 7.86215i 0.705095 0.407087i −0.104147 0.994562i \(-0.533211\pi\)
0.809242 + 0.587475i \(0.199878\pi\)
\(374\) −0.0104501 + 1.36497i −0.000540364 + 0.0705809i
\(375\) −12.2216 + 8.33252i −0.631119 + 0.430290i
\(376\) 16.8042 + 2.92899i 0.866612 + 0.151051i
\(377\) 0.0884743 0.387631i 0.00455666 0.0199640i
\(378\) 6.16315 16.0268i 0.316998 0.824332i
\(379\) 19.4687 4.44361i 1.00004 0.228253i 0.308996 0.951063i \(-0.400007\pi\)
0.691046 + 0.722810i \(0.257150\pi\)
\(380\) 37.6010 + 18.8223i 1.92889 + 0.965562i
\(381\) 12.5233 40.5995i 0.641588 2.07998i
\(382\) −6.27232 + 7.74289i −0.320920 + 0.396161i
\(383\) 20.7448 6.39891i 1.06001 0.326969i 0.284742 0.958604i \(-0.408092\pi\)
0.775266 + 0.631635i \(0.217616\pi\)
\(384\) −19.4568 8.86662i −0.992903 0.452473i
\(385\) −10.2501 + 4.19582i −0.522394 + 0.213839i
\(386\) −23.5607 3.73590i −1.19921 0.190152i
\(387\) 2.69091 + 1.05611i 0.136787 + 0.0536849i
\(388\) 1.85087 + 1.30385i 0.0939636 + 0.0661932i
\(389\) −1.22519 8.12861i −0.0621196 0.412137i −0.998180 0.0602985i \(-0.980795\pi\)
0.936061 0.351838i \(-0.114443\pi\)
\(390\) −0.328586 + 1.03699i −0.0166386 + 0.0525103i
\(391\) −1.53731 −0.0777452
\(392\) 7.12073 18.4742i 0.359651 0.933087i
\(393\) 28.1168 1.41830
\(394\) 8.20302 25.8882i 0.413262 1.30423i
\(395\) 2.91817 + 19.3608i 0.146829 + 0.974148i
\(396\) −1.03809 + 1.47360i −0.0521659 + 0.0740513i
\(397\) −7.03546 2.76121i −0.353099 0.138581i 0.182160 0.983269i \(-0.441691\pi\)
−0.535260 + 0.844688i \(0.679786\pi\)
\(398\) 28.9399 + 4.58885i 1.45063 + 0.230018i
\(399\) 6.46820 + 39.0531i 0.323815 + 1.95510i
\(400\) −3.23266 + 7.54849i −0.161633 + 0.377424i
\(401\) 10.1752 3.13862i 0.508124 0.156735i −0.0300845 0.999547i \(-0.509578\pi\)
0.538208 + 0.842812i \(0.319101\pi\)
\(402\) −23.4877 + 28.9945i −1.17146 + 1.44611i
\(403\) −0.196370 + 0.636616i −0.00978189 + 0.0317121i
\(404\) −6.29668 + 12.5788i −0.313272 + 0.625819i
\(405\) −26.8970 + 6.13907i −1.33652 + 0.305053i
\(406\) 9.25612 2.92503i 0.459374 0.145167i
\(407\) 0.218900 0.959062i 0.0108505 0.0475390i
\(408\) −0.562045 + 3.22457i −0.0278254 + 0.159640i
\(409\) 4.11935 2.80853i 0.203689 0.138873i −0.457180 0.889374i \(-0.651140\pi\)
0.660869 + 0.750502i \(0.270188\pi\)
\(410\) −0.254142 + 33.1953i −0.0125512 + 1.63940i
\(411\) 23.9897 13.8505i 1.18333 0.683193i
\(412\) −32.9139 + 21.7097i −1.62155 + 1.06956i
\(413\) 13.5638 + 1.84319i 0.667431 + 0.0906977i
\(414\) −1.66851 1.15638i −0.0820030 0.0568332i
\(415\) −7.56603 5.15843i −0.371402 0.253218i
\(416\) −0.223643 0.837593i −0.0109650 0.0410664i
\(417\) −22.4457 20.8266i −1.09917 1.01988i
\(418\) −1.45352 + 17.5879i −0.0710939 + 0.860253i
\(419\) −2.00907 4.17187i −0.0981493 0.203809i 0.846113 0.533004i \(-0.178937\pi\)
−0.944262 + 0.329195i \(0.893223\pi\)
\(420\) −25.8972 + 5.88975i −1.26366 + 0.287390i
\(421\) 12.8569 26.6977i 0.626608 1.30117i −0.309983 0.950742i \(-0.600323\pi\)
0.936591 0.350424i \(-0.113962\pi\)
\(422\) −2.85744 1.67904i −0.139098 0.0817344i
\(423\) 1.72409 2.98622i 0.0838282 0.145195i
\(424\) −0.0182706 0.0281667i −0.000887297 0.00136790i
\(425\) 1.24300 + 0.187353i 0.0602945 + 0.00908794i
\(426\) 9.22538 + 30.7416i 0.446971 + 1.48944i
\(427\) −21.2800 9.86945i −1.02981 0.477616i
\(428\) 10.7081 32.9167i 0.517595 1.59109i
\(429\) −0.455275 + 0.0341181i −0.0219809 + 0.00164724i
\(430\) 4.08348 + 18.5442i 0.196923 + 0.894280i
\(431\) −10.6079 27.0284i −0.510962 1.30191i −0.920901 0.389797i \(-0.872545\pi\)
0.409939 0.912113i \(-0.365550\pi\)
\(432\) 12.8918 13.0677i 0.620258 0.628722i
\(433\) −0.132853 0.166592i −0.00638450 0.00800591i 0.778629 0.627485i \(-0.215915\pi\)
−0.785013 + 0.619479i \(0.787344\pi\)
\(434\) −15.8324 + 3.72842i −0.759978 + 0.178970i
\(435\) −10.1806 8.11874i −0.488122 0.389264i
\(436\) −3.01237 + 2.32773i −0.144266 + 0.111478i
\(437\) −19.8199 1.48530i −0.948116 0.0710515i
\(438\) −12.1807 + 9.56214i −0.582016 + 0.456897i
\(439\) −3.86147 + 3.58292i −0.184298 + 0.171004i −0.766926 0.641735i \(-0.778215\pi\)
0.582628 + 0.812739i \(0.302024\pi\)
\(440\) −11.8372 0.271918i −0.564318 0.0129632i
\(441\) −3.01183 2.63586i −0.143420 0.125517i
\(442\) −0.115437 + 0.0654744i −0.00549078 + 0.00311430i
\(443\) 0.363942 + 0.392236i 0.0172914 + 0.0186357i 0.741638 0.670800i \(-0.234049\pi\)
−0.724347 + 0.689436i \(0.757859\pi\)
\(444\) 0.895323 2.18239i 0.0424902 0.103572i
\(445\) −18.8355 1.41152i −0.892887 0.0669126i
\(446\) 27.5673 3.93950i 1.30535 0.186541i
\(447\) 13.2031 16.5562i 0.624486 0.783081i
\(448\) 14.8765 15.0562i 0.702850 0.711338i
\(449\) 11.3114 + 14.1840i 0.533817 + 0.669385i 0.973479 0.228778i \(-0.0734731\pi\)
−0.439662 + 0.898163i \(0.644902\pi\)
\(450\) 1.20816 + 1.13835i 0.0569532 + 0.0536621i
\(451\) −12.9693 + 5.09009i −0.610703 + 0.239683i
\(452\) 19.3129 17.3771i 0.908403 0.817351i
\(453\) −9.32405 + 0.698741i −0.438082 + 0.0328297i
\(454\) 16.1122 + 17.6337i 0.756184 + 0.827590i
\(455\) −0.851565 0.659080i −0.0399220 0.0308982i
\(456\) −10.3617 + 41.0301i −0.485231 + 1.92141i
\(457\) −26.2755 3.96040i −1.22912 0.185260i −0.497797 0.867293i \(-0.665858\pi\)
−0.731321 + 0.682034i \(0.761096\pi\)
\(458\) 1.63684 3.33342i 0.0764847 0.155760i
\(459\) −2.43359 1.40503i −0.113590 0.0655814i
\(460\) 0.204171 13.3334i 0.00951954 0.621671i
\(461\) 6.66600 13.8421i 0.310467 0.644691i −0.686098 0.727509i \(-0.740678\pi\)
0.996565 + 0.0828184i \(0.0263922\pi\)
\(462\) −6.34231 9.16631i −0.295071 0.426455i
\(463\) 9.94350 4.78854i 0.462114 0.222542i −0.188316 0.982108i \(-0.560303\pi\)
0.650430 + 0.759566i \(0.274589\pi\)
\(464\) 10.3199 + 1.09201i 0.479090 + 0.0506951i
\(465\) 15.9942 + 14.8404i 0.741712 + 0.688208i
\(466\) 0.347049 1.46860i 0.0160767 0.0680317i
\(467\) 1.77841 2.60845i 0.0822950 0.120705i −0.782884 0.622168i \(-0.786252\pi\)
0.865179 + 0.501463i \(0.167205\pi\)
\(468\) −0.174540 0.0157707i −0.00806810 0.000729003i
\(469\) −18.9317 31.7169i −0.874187 1.46455i
\(470\) 22.5991 1.51968i 1.04242 0.0700976i
\(471\) −17.3336 30.0226i −0.798688 1.38337i
\(472\) 12.5017 + 7.60591i 0.575437 + 0.350090i
\(473\) −6.58465 + 4.48934i −0.302763 + 0.206420i
\(474\) −18.3974 + 7.05837i −0.845018 + 0.324202i
\(475\) 15.8445 + 3.61641i 0.726997 + 0.165932i
\(476\) −2.80479 1.62224i −0.128557 0.0743555i
\(477\) −0.00661670 + 0.00151022i −0.000302958 + 6.91482e-5i
\(478\) 18.1337 12.1611i 0.829417 0.556234i
\(479\) −12.4232 3.83206i −0.567633 0.175092i −0.00236238 0.999997i \(-0.500752\pi\)
−0.565270 + 0.824906i \(0.691228\pi\)
\(480\) −27.8926 5.30297i −1.27312 0.242047i
\(481\) 0.0913933 0.0281911i 0.00416718 0.00128540i
\(482\) −15.8676 + 39.5373i −0.722751 + 1.80088i
\(483\) 10.2684 7.22171i 0.467227 0.328599i
\(484\) 5.97853 + 15.9468i 0.271751 + 0.724853i
\(485\) 2.79848 + 1.09832i 0.127073 + 0.0498723i
\(486\) −3.54188 7.50116i −0.160663 0.340259i
\(487\) −18.2542 + 2.75138i −0.827177 + 0.124677i −0.548968 0.835844i \(-0.684979\pi\)
−0.278209 + 0.960520i \(0.589741\pi\)
\(488\) −16.6299 18.7695i −0.752802 0.849656i
\(489\) 11.7724 0.532368
\(490\) 3.36075 26.0747i 0.151823 1.17793i
\(491\) 25.6241i 1.15640i −0.815895 0.578200i \(-0.803755\pi\)
0.815895 0.578200i \(-0.196245\pi\)
\(492\) −32.6813 + 6.93462i −1.47339 + 0.312637i
\(493\) −0.236771 1.57087i −0.0106636 0.0707485i
\(494\) −1.55154 + 0.732604i −0.0698072 + 0.0329614i
\(495\) −0.874452 + 2.22807i −0.0393037 + 0.100144i
\(496\) −17.1069 3.11687i −0.768121 0.139951i
\(497\) −31.7142 1.91353i −1.42258 0.0858335i
\(498\) 3.43251 8.55277i 0.153814 0.383259i
\(499\) 7.21757 + 23.3988i 0.323103 + 1.04747i 0.960813 + 0.277197i \(0.0894056\pi\)
−0.637710 + 0.770276i \(0.720118\pi\)
\(500\) 2.56974 15.4411i 0.114922 0.690546i
\(501\) 4.24359 13.7574i 0.189589 0.614634i
\(502\) −11.7284 17.4887i −0.523466 0.780557i
\(503\) 0.0757509 + 0.331887i 0.00337757 + 0.0147981i 0.976589 0.215115i \(-0.0690128\pi\)
−0.973211 + 0.229914i \(0.926156\pi\)
\(504\) −1.82389 3.87049i −0.0812426 0.172405i
\(505\) −4.15642 + 18.2105i −0.184958 + 0.810355i
\(506\) 5.22528 2.00474i 0.232292 0.0891216i
\(507\) 13.8151 + 20.2631i 0.613551 + 0.899914i
\(508\) 21.8822 + 39.2779i 0.970865 + 1.74267i
\(509\) −19.3847 + 11.1917i −0.859210 + 0.496065i −0.863748 0.503925i \(-0.831889\pi\)
0.00453793 + 0.999990i \(0.498556\pi\)
\(510\) 0.291612 + 4.33656i 0.0129128 + 0.192026i
\(511\) −4.73082 14.5810i −0.209279 0.645025i
\(512\) 21.0141 8.39080i 0.928703 0.370825i
\(513\) −30.0178 20.4658i −1.32532 0.903587i
\(514\) −6.84390 + 28.9612i −0.301872 + 1.27743i
\(515\) −35.6112 + 38.3798i −1.56922 + 1.69121i
\(516\) −17.3425 + 8.02697i −0.763462 + 0.353367i
\(517\) 4.12460 + 8.56482i 0.181400 + 0.376681i
\(518\) 1.72262 + 1.57645i 0.0756878 + 0.0692650i
\(519\) 21.1458 + 10.1833i 0.928197 + 0.446996i
\(520\) −0.552540 1.00990i −0.0242305 0.0442871i
\(521\) −11.2982 + 19.5690i −0.494983 + 0.857336i −0.999983 0.00578355i \(-0.998159\pi\)
0.505000 + 0.863119i \(0.331492\pi\)
\(522\) 0.924651 1.88304i 0.0404709 0.0824185i
\(523\) −4.67858 + 31.0404i −0.204580 + 1.35730i 0.616890 + 0.787049i \(0.288392\pi\)
−0.821470 + 0.570251i \(0.806846\pi\)
\(524\) −20.5698 + 21.4992i −0.898598 + 0.939198i
\(525\) −9.18267 + 4.58775i −0.400765 + 0.200226i
\(526\) 2.97520 2.71849i 0.129725 0.118532i
\(527\) 0.198922 + 2.65443i 0.00866516 + 0.115629i
\(528\) −2.29465 11.6932i −0.0998619 0.508880i
\(529\) −6.10006 15.5427i −0.265220 0.675770i
\(530\) −0.0324471 0.0305721i −0.00140941 0.00132797i
\(531\) 2.31279 1.84439i 0.100367 0.0800397i
\(532\) −34.5936 23.6248i −1.49982 1.02427i
\(533\) −1.05905 0.844564i −0.0458726 0.0365821i
\(534\) −2.68920 18.8181i −0.116373 0.814338i
\(535\) 3.43486 45.8350i 0.148502 1.98162i
\(536\) −4.98707 39.1716i −0.215409 1.69196i
\(537\) 30.0853 27.9150i 1.29827 1.20462i
\(538\) 8.59959 4.87758i 0.370755 0.210287i
\(539\) 10.6815 2.76696i 0.460083 0.119182i
\(540\) 12.5093 20.9203i 0.538315 0.900268i
\(541\) 19.1471 + 20.6357i 0.823199 + 0.887197i 0.995196 0.0979002i \(-0.0312126\pi\)
−0.171998 + 0.985097i \(0.555022\pi\)
\(542\) 20.6678 + 26.3276i 0.887759 + 1.13087i
\(543\) −2.53998 + 33.8936i −0.109001 + 1.45451i
\(544\) −2.05446 2.78882i −0.0880841 0.119570i
\(545\) −3.15179 + 3.95222i −0.135008 + 0.169294i
\(546\) 0.463480 0.979611i 0.0198351 0.0419235i
\(547\) 2.21104 1.76325i 0.0945372 0.0753909i −0.575081 0.818097i \(-0.695029\pi\)
0.669618 + 0.742706i \(0.266458\pi\)
\(548\) −6.95991 + 28.4763i −0.297313 + 1.21645i
\(549\) −4.71886 + 1.85202i −0.201396 + 0.0790421i
\(550\) −4.46925 + 0.984141i −0.190570 + 0.0419639i
\(551\) −1.53487 20.4814i −0.0653876 0.872537i
\(552\) 13.1490 2.68504i 0.559659 0.114283i
\(553\) −0.283534 19.5039i −0.0120571 0.829389i
\(554\) 4.92546 + 16.4130i 0.209263 + 0.697322i
\(555\) 0.466845 3.09732i 0.0198165 0.131474i
\(556\) 32.3458 1.92647i 1.37177 0.0817004i
\(557\) 1.02873 + 0.593940i 0.0435889 + 0.0251660i 0.521636 0.853168i \(-0.325322\pi\)
−0.478047 + 0.878334i \(0.658655\pi\)
\(558\) −1.78079 + 3.03060i −0.0753869 + 0.128296i
\(559\) −0.698093 0.336184i −0.0295262 0.0142191i
\(560\) 14.4425 24.1109i 0.610308 1.01887i
\(561\) −1.64351 + 0.791472i −0.0693890 + 0.0334160i
\(562\) 0.210204 2.54352i 0.00886693 0.107292i
\(563\) −0.727567 + 0.784131i −0.0306633 + 0.0330472i −0.748197 0.663476i \(-0.769080\pi\)
0.717534 + 0.696524i \(0.245271\pi\)
\(564\) 6.38471 + 21.8828i 0.268845 + 0.921433i
\(565\) 19.4333 28.5034i 0.817563 1.19915i
\(566\) 15.6505 22.5816i 0.657839 0.949177i
\(567\) 27.3755 2.45214i 1.14966 0.102980i
\(568\) −30.2554 15.4360i −1.26949 0.647681i
\(569\) 10.1067 + 17.5053i 0.423695 + 0.733860i 0.996298 0.0859723i \(-0.0273997\pi\)
−0.572603 + 0.819833i \(0.694066\pi\)
\(570\) −0.430198 + 56.1912i −0.0180190 + 2.35359i
\(571\) 6.68283 + 9.80192i 0.279668 + 0.410197i 0.940212 0.340590i \(-0.110627\pi\)
−0.660544 + 0.750787i \(0.729674\pi\)
\(572\) 0.306985 0.373082i 0.0128357 0.0155993i
\(573\) −12.9826 2.96319i −0.542355 0.123789i
\(574\) 4.70395 32.7354i 0.196339 1.36635i
\(575\) −1.14687 5.02476i −0.0478278 0.209547i
\(576\) −0.132014 4.57222i −0.00550057 0.190509i
\(577\) −6.23941 1.92460i −0.259750 0.0801222i 0.162145 0.986767i \(-0.448159\pi\)
−0.421895 + 0.906645i \(0.638635\pi\)
\(578\) 14.7994 18.2692i 0.615574 0.759897i
\(579\) −9.39656 30.4629i −0.390508 1.26599i
\(580\) 13.6559 1.84493i 0.567030 0.0766064i
\(581\) 6.77697 + 6.10722i 0.281156 + 0.253370i
\(582\) −0.473826 + 2.98822i −0.0196407 + 0.123866i
\(583\) 0.00683574 0.0174172i 0.000283108 0.000721346i
\(584\) 1.59962 16.3094i 0.0661929 0.674887i
\(585\) −0.230110 + 0.0346835i −0.00951388 + 0.00143399i
\(586\) 1.67680 5.29186i 0.0692679 0.218605i
\(587\) 15.9561i 0.658579i −0.944229 0.329290i \(-0.893191\pi\)
0.944229 0.329290i \(-0.106809\pi\)
\(588\) 26.3551 2.34015i 1.08686 0.0965060i
\(589\) 34.4146i 1.41803i
\(590\) 18.5237 + 5.86949i 0.762610 + 0.241643i
\(591\) 35.8861 5.40896i 1.47616 0.222495i
\(592\) 1.01374 + 2.28121i 0.0416643 + 0.0937570i
\(593\) −3.42401 + 8.72424i −0.140607 + 0.358262i −0.983779 0.179382i \(-0.942590\pi\)
0.843172 + 0.537644i \(0.180685\pi\)
\(594\) 10.1039 + 1.60213i 0.414570 + 0.0657361i
\(595\) −4.12932 1.20828i −0.169285 0.0495346i
\(596\) 3.00032 + 22.2079i 0.122898 + 0.909673i
\(597\) 11.5419 + 37.4179i 0.472378 + 1.53141i
\(598\) 0.422810 + 0.342508i 0.0172900 + 0.0140062i
\(599\) −22.4915 6.93770i −0.918976 0.283467i −0.201046 0.979582i \(-0.564434\pi\)
−0.717930 + 0.696115i \(0.754910\pi\)
\(600\) −10.9589 + 0.568538i −0.447397 + 0.0232105i
\(601\) −3.83686 16.8104i −0.156509 0.685710i −0.990907 0.134548i \(-0.957042\pi\)
0.834398 0.551162i \(-0.185815\pi\)
\(602\) −1.54344 18.8541i −0.0629059 0.768434i
\(603\) −7.78230 1.77626i −0.316920 0.0723349i
\(604\) 6.28706 7.64074i 0.255817 0.310897i
\(605\) 12.7391 + 18.6849i 0.517919 + 0.759647i
\(606\) −18.7979 0.143916i −0.763611 0.00584617i
\(607\) 12.8317 + 22.2252i 0.520823 + 0.902092i 0.999707 + 0.0242138i \(0.00770824\pi\)
−0.478884 + 0.877878i \(0.658958\pi\)
\(608\) −23.7928 37.9401i −0.964926 1.53867i
\(609\) 8.96086 + 9.38028i 0.363112 + 0.380108i
\(610\) −27.3683 18.9679i −1.10811 0.767988i
\(611\) −0.520643 + 0.763643i −0.0210630 + 0.0308937i
\(612\) −0.672190 + 0.196124i −0.0271717 + 0.00792783i
\(613\) 14.2073 15.3118i 0.573828 0.618439i −0.377728 0.925917i \(-0.623294\pi\)
0.951555 + 0.307478i \(0.0994849\pi\)
\(614\) 9.01478 + 0.745008i 0.363807 + 0.0300661i
\(615\) −39.9693 + 19.2482i −1.61172 + 0.776162i
\(616\) 11.6489 + 1.85636i 0.469347 + 0.0747949i
\(617\) −19.6919 9.48310i −0.792765 0.381775i −0.00674532 0.999977i \(-0.502147\pi\)
−0.786019 + 0.618202i \(0.787861\pi\)
\(618\) −45.4291 26.6943i −1.82743 1.07380i
\(619\) 3.09013 + 1.78409i 0.124203 + 0.0717086i 0.560814 0.827942i \(-0.310488\pi\)
−0.436611 + 0.899650i \(0.643822\pi\)
\(620\) −23.0487 + 1.37275i −0.925658 + 0.0551308i
\(621\) −1.71719 + 11.3928i −0.0689085 + 0.457178i
\(622\) 21.2223 6.36869i 0.850936 0.255361i
\(623\) 18.4045 + 3.92014i 0.737359 + 0.157057i
\(624\) 0.873004 0.761639i 0.0349481 0.0304900i
\(625\) −2.32038 30.9633i −0.0928151 1.23853i
\(626\) −6.35738 28.8706i −0.254092 1.15390i
\(627\) −21.9538 + 8.61623i −0.876750 + 0.344099i
\(628\) 35.6375 + 8.71018i 1.42209 + 0.347574i
\(629\) 0.298769 0.238261i 0.0119127 0.00950008i
\(630\) −3.57286 4.41752i −0.142346 0.175998i
\(631\) −4.49503 + 5.63659i −0.178944 + 0.224389i −0.863212 0.504842i \(-0.831551\pi\)
0.684267 + 0.729231i \(0.260122\pi\)
\(632\) 8.06213 19.2312i 0.320694 0.764975i
\(633\) 0.330982 4.41665i 0.0131554 0.175546i
\(634\) −34.1528 + 26.8108i −1.35638 + 1.06479i
\(635\) 40.6086 + 43.7657i 1.61150 + 1.73679i
\(636\) 0.0230256 0.0385075i 0.000913023 0.00152692i
\(637\) 0.752226 + 0.764860i 0.0298043 + 0.0303048i
\(638\) 2.85328 + 5.03059i 0.112963 + 0.199163i
\(639\) −5.03323 + 4.67016i −0.199112 + 0.184749i
\(640\) 24.4607 17.4483i 0.966896 0.689703i
\(641\) −0.965563 + 12.8845i −0.0381374 + 0.508909i 0.945124 + 0.326711i \(0.105940\pi\)
−0.983262 + 0.182198i \(0.941679\pi\)
\(642\) 45.7927 6.54401i 1.80730 0.258271i
\(643\) 13.9645 + 11.1363i 0.550705 + 0.439173i 0.858895 0.512152i \(-0.171152\pi\)
−0.308189 + 0.951325i \(0.599723\pi\)
\(644\) −1.99019 + 13.1349i −0.0784243 + 0.517588i
\(645\) −19.8394 + 15.8214i −0.781177 + 0.622968i
\(646\) −4.70128 + 4.98961i −0.184969 + 0.196314i
\(647\) 1.85419 + 4.72441i 0.0728959 + 0.185736i 0.962678 0.270651i \(-0.0872388\pi\)
−0.889782 + 0.456386i \(0.849144\pi\)
\(648\) 27.8711 + 9.30325i 1.09488 + 0.365466i
\(649\) 0.609449 + 8.13253i 0.0239230 + 0.319230i
\(650\) −0.300124 0.328465i −0.0117718 0.0128835i
\(651\) −13.7982 16.7956i −0.540793 0.658271i
\(652\) −8.61255 + 9.00168i −0.337294 + 0.352533i
\(653\) −2.20992 + 14.6619i −0.0864809 + 0.573763i 0.903060 + 0.429514i \(0.141315\pi\)
−0.989541 + 0.144250i \(0.953923\pi\)
\(654\) −4.56661 2.24239i −0.178568 0.0876845i
\(655\) −19.7550 + 34.2167i −0.771893 + 1.33696i
\(656\) 18.6067 30.0627i 0.726470 1.17375i
\(657\) −2.98469 1.43735i −0.116444 0.0560764i
\(658\) −22.5130 1.53143i −0.877650 0.0597012i
\(659\) −17.2041 35.7246i −0.670175 1.39163i −0.907438 0.420187i \(-0.861965\pi\)
0.237263 0.971445i \(-0.423750\pi\)
\(660\) −6.64630 14.3595i −0.258707 0.558945i
\(661\) 23.4675 25.2919i 0.912780 0.983742i −0.0871428 0.996196i \(-0.527774\pi\)
0.999922 + 0.0124534i \(0.00396413\pi\)
\(662\) 19.1625 + 4.52833i 0.744771 + 0.175999i
\(663\) −0.146536 0.0999064i −0.00569098 0.00388004i
\(664\) 4.02862 + 8.88173i 0.156341 + 0.344678i
\(665\) −52.0702 19.5675i −2.01920 0.758794i
\(666\) 0.503491 0.0338573i 0.0195099 0.00131194i
\(667\) −5.64082 + 3.25673i −0.218413 + 0.126101i
\(668\) 7.41490 + 13.3095i 0.286891 + 0.514961i
\(669\) 20.9636 + 30.7479i 0.810499 + 1.18878i
\(670\) −18.7822 48.9550i −0.725620 1.89130i
\(671\) 3.10982 13.6250i 0.120053 0.525988i
\(672\) 26.8234 + 8.97666i 1.03474 + 0.346282i
\(673\) 1.36098 + 5.96282i 0.0524617 + 0.229850i 0.994361 0.106045i \(-0.0338186\pi\)
−0.941900 + 0.335894i \(0.890961\pi\)
\(674\) 19.5662 13.1217i 0.753662 0.505430i
\(675\) 2.77689 9.00247i 0.106883 0.346505i
\(676\) −25.6009 4.26057i −0.984651 0.163868i
\(677\) 1.43284 + 4.64516i 0.0550686 + 0.178528i 0.978929 0.204202i \(-0.0654600\pi\)
−0.923860 + 0.382730i \(0.874984\pi\)
\(678\) 32.2207 + 12.9312i 1.23743 + 0.496620i
\(679\) −2.61524 1.45964i −0.100364 0.0560159i
\(680\) −3.52925 2.94959i −0.135340 0.113111i
\(681\) −11.6620 + 29.7142i −0.446888 + 1.13865i
\(682\) −4.13765 8.76291i −0.158439 0.335549i
\(683\) −6.25208 41.4799i −0.239229 1.58718i −0.709529 0.704676i \(-0.751092\pi\)
0.470300 0.882507i \(-0.344146\pi\)
\(684\) −8.85576 + 1.87910i −0.338609 + 0.0718490i
\(685\) 38.9257i 1.48727i
\(686\) −6.81548 + 25.2893i −0.260216 + 0.965550i
\(687\) 4.96276 0.189341
\(688\) 6.54981 19.1332i 0.249709 0.729447i
\(689\) 0.00179881 0.000271127i 6.85292e−5 1.03291e-5i
\(690\) 16.1143 7.60883i 0.613462 0.289663i
\(691\) −14.0399 5.51024i −0.534102 0.209619i 0.0829334 0.996555i \(-0.473571\pi\)
−0.617035 + 0.786936i \(0.711666\pi\)
\(692\) −23.2565 + 8.71899i −0.884080 + 0.331446i
\(693\) 1.16212 2.08218i 0.0441454 0.0790953i
\(694\) −28.2198 11.3256i −1.07121 0.429912i
\(695\) 41.1154 12.6824i 1.55960 0.481072i
\(696\) 4.76882 + 13.0225i 0.180762 + 0.493617i
\(697\) −5.17178 1.59528i −0.195895 0.0604256i
\(698\) 15.1926 + 22.6541i 0.575048 + 0.857472i
\(699\) 1.96609 0.448747i 0.0743643 0.0169732i
\(700\) 3.20994 10.3778i 0.121324 0.392243i
\(701\) −38.0238 8.67868i −1.43614 0.327789i −0.567556 0.823334i \(-0.692111\pi\)
−0.868582 + 0.495545i \(0.834968\pi\)
\(702\) 0.356278 + 0.928625i 0.0134469 + 0.0350487i
\(703\) 4.08212 2.78314i 0.153960 0.104968i
\(704\) 10.6198 + 6.79998i 0.400249 + 0.256284i
\(705\) 15.1345 + 26.2137i 0.569998 + 0.987265i
\(706\) −1.64429 24.4522i −0.0618836 0.920269i
\(707\) 6.54598 17.4193i 0.246187 0.655119i
\(708\) −1.75982 + 19.4765i −0.0661382 + 0.731973i
\(709\) 4.12753 6.05397i 0.155013 0.227362i −0.740875 0.671643i \(-0.765589\pi\)
0.895887 + 0.444282i \(0.146541\pi\)
\(710\) −43.8928 10.3724i −1.64727 0.389270i
\(711\) −3.09008 2.86718i −0.115887 0.107528i
\(712\) 16.3565 + 11.7108i 0.612984 + 0.438880i
\(713\) 9.83307 4.73535i 0.368251 0.177340i
\(714\) 0.293866 4.32004i 0.0109977 0.161673i
\(715\) 0.278359 0.578018i 0.0104100 0.0216167i
\(716\) −0.664984 + 43.4267i −0.0248516 + 1.62293i
\(717\) 25.2691 + 14.5891i 0.943693 + 0.544841i
\(718\) 44.3609 + 21.7830i 1.65553 + 0.812935i
\(719\) 47.3294 + 7.13375i 1.76509 + 0.266044i 0.949765 0.312963i \(-0.101322\pi\)
0.815322 + 0.579007i \(0.196560\pi\)
\(720\) −1.61174 5.85607i −0.0600660 0.218243i
\(721\) 40.3029 33.1102i 1.50096 1.23309i
\(722\) −45.5960 + 41.6619i −1.69691 + 1.55050i
\(723\) −56.7736 + 4.25459i −2.11143 + 0.158230i
\(724\) −24.0582 26.7383i −0.894118 0.993721i
\(725\) 4.95782 1.94580i 0.184129 0.0722653i
\(726\) −15.6075 + 16.5647i −0.579247 + 0.614773i
\(727\) 18.8318 + 23.6143i 0.698432 + 0.875806i 0.996905 0.0786119i \(-0.0250488\pi\)
−0.298473 + 0.954418i \(0.596477\pi\)
\(728\) 0.409975 + 1.07107i 0.0151947 + 0.0396963i
\(729\) −12.5194 + 15.6988i −0.463681 + 0.581438i
\(730\) −3.07842 21.5417i −0.113937 0.797295i
\(731\) −3.08716 0.231351i −0.114183 0.00855683i
\(732\) 12.7195 31.0043i 0.470126 1.14595i
\(733\) −20.1211 21.6854i −0.743189 0.800967i 0.242391 0.970179i \(-0.422068\pi\)
−0.985580 + 0.169211i \(0.945878\pi\)
\(734\) −19.9963 35.2552i −0.738078 1.30129i
\(735\) 33.2575 11.3274i 1.22672 0.417816i
\(736\) −7.56653 + 12.0186i −0.278906 + 0.443012i
\(737\) 16.1320 14.9683i 0.594230 0.551365i
\(738\) −4.41318 5.62171i −0.162451 0.206938i
\(739\) 31.5457 + 2.36402i 1.16043 + 0.0869621i 0.640992 0.767547i \(-0.278523\pi\)
0.519436 + 0.854509i \(0.326142\pi\)
\(740\) 2.02680 + 2.62292i 0.0745065 + 0.0964206i
\(741\) −1.79270 1.42963i −0.0658565 0.0525188i
\(742\) 0.0279296 + 0.0345325i 0.00102533 + 0.00126773i
\(743\) −28.5797 35.8378i −1.04849 1.31476i −0.947458 0.319880i \(-0.896357\pi\)
−0.101031 0.994883i \(-0.532214\pi\)
\(744\) −6.33760 22.3565i −0.232348 0.819630i
\(745\) 10.8715 + 27.7000i 0.398300 + 1.01485i
\(746\) −21.7172 + 4.78219i −0.795124 + 0.175089i
\(747\) 1.96599 0.147330i 0.0719317 0.00539054i
\(748\) 0.597176 1.83572i 0.0218349 0.0671207i
\(749\) −9.53944 + 44.7862i −0.348563 + 1.63645i
\(750\) 20.0360 6.01270i 0.731612 0.219553i
\(751\) 1.59276 + 0.240071i 0.0581208 + 0.00876030i 0.178038 0.984024i \(-0.443025\pi\)
−0.119917 + 0.992784i \(0.538263\pi\)
\(752\) −21.4035 11.1272i −0.780505 0.405766i
\(753\) 14.0702 24.3702i 0.512745 0.888100i
\(754\) −0.284866 + 0.484792i −0.0103742 + 0.0176551i
\(755\) 5.70080 11.8378i 0.207474 0.430823i
\(756\) −15.1552 + 18.9739i −0.551190 + 0.690072i
\(757\) 0.305015 + 0.633370i 0.0110860 + 0.0230202i 0.906438 0.422338i \(-0.138791\pi\)
−0.895352 + 0.445358i \(0.853076\pi\)
\(758\) −28.1451 2.32599i −1.02228 0.0844839i
\(759\) 5.48263 + 5.08714i 0.199007 + 0.184652i
\(760\) −42.6514 41.4377i −1.54713 1.50310i
\(761\) 3.98290 + 2.71550i 0.144380 + 0.0984366i 0.633356 0.773861i \(-0.281677\pi\)
−0.488976 + 0.872297i \(0.662629\pi\)
\(762\) −34.2266 + 49.3846i −1.23990 + 1.78902i
\(763\) 3.64153 3.47871i 0.131832 0.125938i
\(764\) 11.7637 7.75918i 0.425594 0.280717i
\(765\) −0.805224 + 0.464896i −0.0291129 + 0.0168084i
\(766\) −30.7006 0.235042i −1.10926 0.00849243i
\(767\) −0.655124 + 0.446656i −0.0236552 + 0.0161278i
\(768\) 22.4432 + 20.2651i 0.809848 + 0.731256i
\(769\) −3.17465 + 13.9091i −0.114481 + 0.501574i 0.884880 + 0.465820i \(0.154240\pi\)
−0.999361 + 0.0357542i \(0.988617\pi\)
\(770\) 15.6111 1.27796i 0.562585 0.0460546i
\(771\) −38.7718 + 8.84941i −1.39633 + 0.318704i
\(772\) 30.1676 + 15.1012i 1.08