Properties

Label 192.2.s.a.179.11
Level $192$
Weight $2$
Character 192.179
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 179.11
Character \(\chi\) \(=\) 192.179
Dual form 192.2.s.a.59.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.596586 + 1.28222i) q^{2} +(-1.72626 + 0.141545i) q^{3} +(-1.28817 - 1.52991i) q^{4} +(-0.236051 - 1.18671i) q^{5} +(0.848370 - 2.29788i) q^{6} +(1.67303 - 0.692992i) q^{7} +(2.73018 - 0.738993i) q^{8} +(2.95993 - 0.488686i) q^{9} +O(q^{10})\) \(q+(-0.596586 + 1.28222i) q^{2} +(-1.72626 + 0.141545i) q^{3} +(-1.28817 - 1.52991i) q^{4} +(-0.236051 - 1.18671i) q^{5} +(0.848370 - 2.29788i) q^{6} +(1.67303 - 0.692992i) q^{7} +(2.73018 - 0.738993i) q^{8} +(2.95993 - 0.488686i) q^{9} +(1.66245 + 0.405306i) q^{10} +(-0.195719 + 0.292915i) q^{11} +(2.44026 + 2.45868i) q^{12} +(1.51912 + 0.302171i) q^{13} +(-0.109540 + 2.55862i) q^{14} +(0.575458 + 2.01516i) q^{15} +(-0.681239 + 3.94156i) q^{16} +(5.35769 - 5.35769i) q^{17} +(-1.13925 + 4.08682i) q^{18} +(0.449975 + 0.0895056i) q^{19} +(-1.51148 + 1.88982i) q^{20} +(-2.78999 + 1.43309i) q^{21} +(-0.258817 - 0.425704i) q^{22} +(-5.61589 - 2.32618i) q^{23} +(-4.60840 + 1.66213i) q^{24} +(3.26684 - 1.35317i) q^{25} +(-1.29373 + 1.76757i) q^{26} +(-5.04043 + 1.26256i) q^{27} +(-3.21536 - 1.66689i) q^{28} +(2.38167 - 1.59138i) q^{29} +(-2.92718 - 0.464351i) q^{30} +7.41430 q^{31} +(-4.64753 - 3.22498i) q^{32} +(0.296402 - 0.533350i) q^{33} +(3.67341 + 10.0661i) q^{34} +(-1.21730 - 1.82182i) q^{35} +(-4.56054 - 3.89891i) q^{36} +(-1.66041 - 8.34743i) q^{37} +(-0.383215 + 0.523569i) q^{38} +(-2.66516 - 0.306602i) q^{39} +(-1.52143 - 3.06549i) q^{40} +(-1.93381 + 4.66864i) q^{41} +(-0.173066 - 4.43234i) q^{42} +(-1.78480 + 2.67114i) q^{43} +(0.700253 - 0.0778912i) q^{44} +(-1.27862 - 3.39722i) q^{45} +(6.33304 - 5.81304i) q^{46} +(-0.866687 - 0.866687i) q^{47} +(0.618085 - 6.90058i) q^{48} +(-2.63096 + 2.63096i) q^{49} +(-0.213893 + 4.99608i) q^{50} +(-8.49040 + 10.0071i) q^{51} +(-1.49459 - 2.71336i) q^{52} +(-0.141316 - 0.0944244i) q^{53} +(1.38817 - 7.21616i) q^{54} +(0.393805 + 0.163119i) q^{55} +(4.05556 - 3.12835i) q^{56} +(-0.789442 - 0.0908180i) q^{57} +(0.619627 + 4.00322i) q^{58} +(8.97405 - 1.78505i) q^{59} +(2.34172 - 3.47626i) q^{60} +(-11.0615 + 7.39103i) q^{61} +(-4.42327 + 9.50675i) q^{62} +(4.61340 - 2.86879i) q^{63} +(6.90778 - 4.03517i) q^{64} -1.87408i q^{65} +(0.507042 + 0.698241i) q^{66} +(-2.80422 - 4.19682i) q^{67} +(-15.0984 - 1.29516i) q^{68} +(10.0237 + 3.22068i) q^{69} +(3.06220 - 0.473973i) q^{70} +(-2.24207 - 5.41285i) q^{71} +(7.72001 - 3.52157i) q^{72} +(-6.08575 + 14.6923i) q^{73} +(11.6938 + 2.85096i) q^{74} +(-5.44787 + 2.79832i) q^{75} +(-0.442709 - 0.803719i) q^{76} +(-0.124457 + 0.625687i) q^{77} +(1.98313 - 3.23440i) q^{78} +(5.00420 + 5.00420i) q^{79} +(4.83830 - 0.121978i) q^{80} +(8.52237 - 2.89295i) q^{81} +(-4.83253 - 5.26481i) q^{82} +(-1.64358 + 8.26285i) q^{83} +(5.78648 + 2.42237i) q^{84} +(-7.62272 - 5.09334i) q^{85} +(-2.36020 - 3.88206i) q^{86} +(-3.88613 + 3.08425i) q^{87} +(-0.317888 + 0.944346i) q^{88} +(4.01147 + 9.68454i) q^{89} +(5.11879 + 0.387262i) q^{90} +(2.75093 - 0.547194i) q^{91} +(3.67538 + 11.5883i) q^{92} +(-12.7990 + 1.04946i) q^{93} +(1.62834 - 0.594228i) q^{94} -0.555118i q^{95} +(8.47931 + 4.90931i) q^{96} +0.511477i q^{97} +(-1.80387 - 4.94305i) q^{98} +(-0.436173 + 0.962653i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} + O(q^{10}) \) \( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{15}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.596586 + 1.28222i −0.421850 + 0.906666i
\(3\) −1.72626 + 0.141545i −0.996655 + 0.0817210i
\(4\) −1.28817 1.52991i −0.644085 0.764954i
\(5\) −0.236051 1.18671i −0.105565 0.530713i −0.996989 0.0775422i \(-0.975293\pi\)
0.891424 0.453171i \(-0.149707\pi\)
\(6\) 0.848370 2.29788i 0.346346 0.938107i
\(7\) 1.67303 0.692992i 0.632346 0.261926i −0.0434036 0.999058i \(-0.513820\pi\)
0.675749 + 0.737131i \(0.263820\pi\)
\(8\) 2.73018 0.738993i 0.965265 0.261273i
\(9\) 2.95993 0.488686i 0.986643 0.162895i
\(10\) 1.66245 + 0.405306i 0.525712 + 0.128169i
\(11\) −0.195719 + 0.292915i −0.0590116 + 0.0883172i −0.859802 0.510628i \(-0.829413\pi\)
0.800790 + 0.598945i \(0.204413\pi\)
\(12\) 2.44026 + 2.45868i 0.704443 + 0.709760i
\(13\) 1.51912 + 0.302171i 0.421327 + 0.0838072i 0.401201 0.915990i \(-0.368593\pi\)
0.0201268 + 0.999797i \(0.493593\pi\)
\(14\) −0.109540 + 2.55862i −0.0292758 + 0.683820i
\(15\) 0.575458 + 2.01516i 0.148583 + 0.520311i
\(16\) −0.681239 + 3.94156i −0.170310 + 0.985391i
\(17\) 5.35769 5.35769i 1.29943 1.29943i 0.370664 0.928767i \(-0.379130\pi\)
0.928767 0.370664i \(-0.120870\pi\)
\(18\) −1.13925 + 4.08682i −0.268524 + 0.963273i
\(19\) 0.449975 + 0.0895056i 0.103231 + 0.0205340i 0.246436 0.969159i \(-0.420741\pi\)
−0.143204 + 0.989693i \(0.545741\pi\)
\(20\) −1.51148 + 1.88982i −0.337978 + 0.422577i
\(21\) −2.78999 + 1.43309i −0.608826 + 0.312726i
\(22\) −0.258817 0.425704i −0.0551801 0.0907604i
\(23\) −5.61589 2.32618i −1.17099 0.485042i −0.289473 0.957186i \(-0.593480\pi\)
−0.881521 + 0.472144i \(0.843480\pi\)
\(24\) −4.60840 + 1.66213i −0.940685 + 0.339282i
\(25\) 3.26684 1.35317i 0.653367 0.270634i
\(26\) −1.29373 + 1.76757i −0.253722 + 0.346649i
\(27\) −5.04043 + 1.26256i −0.970031 + 0.242980i
\(28\) −3.21536 1.66689i −0.607646 0.315013i
\(29\) 2.38167 1.59138i 0.442265 0.295512i −0.314429 0.949281i \(-0.601813\pi\)
0.756694 + 0.653769i \(0.226813\pi\)
\(30\) −2.92718 0.464351i −0.534428 0.0847785i
\(31\) 7.41430 1.33165 0.665823 0.746109i \(-0.268080\pi\)
0.665823 + 0.746109i \(0.268080\pi\)
\(32\) −4.64753 3.22498i −0.821574 0.570101i
\(33\) 0.296402 0.533350i 0.0515969 0.0928443i
\(34\) 3.67341 + 10.0661i 0.629984 + 1.72631i
\(35\) −1.21730 1.82182i −0.205761 0.307944i
\(36\) −4.56054 3.89891i −0.760089 0.649819i
\(37\) −1.66041 8.34743i −0.272969 1.37231i −0.837292 0.546755i \(-0.815863\pi\)
0.564323 0.825554i \(-0.309137\pi\)
\(38\) −0.383215 + 0.523569i −0.0621657 + 0.0849341i
\(39\) −2.66516 0.306602i −0.426767 0.0490956i
\(40\) −1.52143 3.06549i −0.240560 0.484697i
\(41\) −1.93381 + 4.66864i −0.302011 + 0.729118i 0.697906 + 0.716190i \(0.254115\pi\)
−0.999916 + 0.0129287i \(0.995885\pi\)
\(42\) −0.173066 4.43234i −0.0267046 0.683925i
\(43\) −1.78480 + 2.67114i −0.272179 + 0.407345i −0.942228 0.334972i \(-0.891273\pi\)
0.670049 + 0.742317i \(0.266273\pi\)
\(44\) 0.700253 0.0778912i 0.105567 0.0117425i
\(45\) −1.27862 3.39722i −0.190606 0.506428i
\(46\) 6.33304 5.81304i 0.933755 0.857086i
\(47\) −0.866687 0.866687i −0.126419 0.126419i 0.641066 0.767486i \(-0.278492\pi\)
−0.767486 + 0.641066i \(0.778492\pi\)
\(48\) 0.618085 6.90058i 0.0892129 0.996013i
\(49\) −2.63096 + 2.63096i −0.375851 + 0.375851i
\(50\) −0.213893 + 4.99608i −0.0302490 + 0.706552i
\(51\) −8.49040 + 10.0071i −1.18889 + 1.40128i
\(52\) −1.49459 2.71336i −0.207262 0.376275i
\(53\) −0.141316 0.0944244i −0.0194113 0.0129702i 0.545827 0.837898i \(-0.316216\pi\)
−0.565238 + 0.824928i \(0.691216\pi\)
\(54\) 1.38817 7.21616i 0.188906 0.981995i
\(55\) 0.393805 + 0.163119i 0.0531007 + 0.0219950i
\(56\) 4.05556 3.12835i 0.541947 0.418043i
\(57\) −0.789442 0.0908180i −0.104564 0.0120291i
\(58\) 0.619627 + 4.00322i 0.0813610 + 0.525649i
\(59\) 8.97405 1.78505i 1.16832 0.232394i 0.427449 0.904039i \(-0.359412\pi\)
0.740872 + 0.671646i \(0.234412\pi\)
\(60\) 2.34172 3.47626i 0.302314 0.448783i
\(61\) −11.0615 + 7.39103i −1.41627 + 0.946324i −0.416974 + 0.908918i \(0.636909\pi\)
−0.999300 + 0.0374060i \(0.988091\pi\)
\(62\) −4.42327 + 9.50675i −0.561756 + 1.20736i
\(63\) 4.61340 2.86879i 0.581233 0.361434i
\(64\) 6.90778 4.03517i 0.863473 0.504396i
\(65\) 1.87408i 0.232451i
\(66\) 0.507042 + 0.698241i 0.0624125 + 0.0859475i
\(67\) −2.80422 4.19682i −0.342590 0.512723i 0.619667 0.784865i \(-0.287268\pi\)
−0.962257 + 0.272142i \(0.912268\pi\)
\(68\) −15.0984 1.29516i −1.83095 0.157061i
\(69\) 10.0237 + 3.22068i 1.20672 + 0.387725i
\(70\) 3.06220 0.473973i 0.366003 0.0566507i
\(71\) −2.24207 5.41285i −0.266085 0.642387i 0.733207 0.680006i \(-0.238023\pi\)
−0.999292 + 0.0376191i \(0.988023\pi\)
\(72\) 7.72001 3.52157i 0.909812 0.415021i
\(73\) −6.08575 + 14.6923i −0.712283 + 1.71960i −0.0180664 + 0.999837i \(0.505751\pi\)
−0.694217 + 0.719766i \(0.744249\pi\)
\(74\) 11.6938 + 2.85096i 1.35938 + 0.331417i
\(75\) −5.44787 + 2.79832i −0.629066 + 0.323122i
\(76\) −0.442709 0.803719i −0.0507822 0.0921929i
\(77\) −0.124457 + 0.625687i −0.0141832 + 0.0713037i
\(78\) 1.98313 3.23440i 0.224545 0.366224i
\(79\) 5.00420 + 5.00420i 0.563016 + 0.563016i 0.930163 0.367147i \(-0.119665\pi\)
−0.367147 + 0.930163i \(0.619665\pi\)
\(80\) 4.83830 0.121978i 0.540938 0.0136375i
\(81\) 8.52237 2.89295i 0.946930 0.321439i
\(82\) −4.83253 5.26481i −0.533663 0.581402i
\(83\) −1.64358 + 8.26285i −0.180407 + 0.906966i 0.779448 + 0.626467i \(0.215500\pi\)
−0.959854 + 0.280498i \(0.909500\pi\)
\(84\) 5.78648 + 2.42237i 0.631357 + 0.264302i
\(85\) −7.62272 5.09334i −0.826800 0.552450i
\(86\) −2.36020 3.88206i −0.254507 0.418614i
\(87\) −3.88613 + 3.08425i −0.416637 + 0.330666i
\(88\) −0.317888 + 0.944346i −0.0338869 + 0.100668i
\(89\) 4.01147 + 9.68454i 0.425215 + 1.02656i 0.980785 + 0.195090i \(0.0624998\pi\)
−0.555571 + 0.831469i \(0.687500\pi\)
\(90\) 5.11879 + 0.387262i 0.539568 + 0.0408210i
\(91\) 2.75093 0.547194i 0.288376 0.0573615i
\(92\) 3.67538 + 11.5883i 0.383185 + 1.20817i
\(93\) −12.7990 + 1.04946i −1.32719 + 0.108824i
\(94\) 1.62834 0.594228i 0.167950 0.0612900i
\(95\) 0.555118i 0.0569539i
\(96\) 8.47931 + 4.90931i 0.865416 + 0.501054i
\(97\) 0.511477i 0.0519326i 0.999663 + 0.0259663i \(0.00826626\pi\)
−0.999663 + 0.0259663i \(0.991734\pi\)
\(98\) −1.80387 4.94305i −0.182218 0.499324i
\(99\) −0.436173 + 0.962653i −0.0438370 + 0.0967503i
\(100\) −6.27846 3.25485i −0.627846 0.325485i
\(101\) 12.5246 2.49131i 1.24625 0.247894i 0.472468 0.881348i \(-0.343363\pi\)
0.773781 + 0.633454i \(0.218363\pi\)
\(102\) −7.76604 16.8567i −0.768953 1.66906i
\(103\) −4.30678 10.3975i −0.424360 1.02450i −0.981046 0.193773i \(-0.937928\pi\)
0.556687 0.830723i \(-0.312072\pi\)
\(104\) 4.37077 0.297634i 0.428589 0.0291854i
\(105\) 2.35925 + 2.97263i 0.230239 + 0.290099i
\(106\) 0.205380 0.124866i 0.0199483 0.0121280i
\(107\) 13.0428 + 8.71489i 1.26089 + 0.842500i 0.992670 0.120857i \(-0.0385643\pi\)
0.268221 + 0.963357i \(0.413564\pi\)
\(108\) 8.42453 + 6.08500i 0.810651 + 0.585530i
\(109\) 1.47832 7.43204i 0.141598 0.711860i −0.843123 0.537720i \(-0.819286\pi\)
0.984721 0.174140i \(-0.0557144\pi\)
\(110\) −0.444093 + 0.407629i −0.0423426 + 0.0388659i
\(111\) 4.04783 + 14.1748i 0.384203 + 1.34541i
\(112\) 1.59174 + 7.06644i 0.150405 + 0.667716i
\(113\) 0.382761 + 0.382761i 0.0360071 + 0.0360071i 0.724881 0.688874i \(-0.241895\pi\)
−0.688874 + 0.724881i \(0.741895\pi\)
\(114\) 0.587419 0.958057i 0.0550168 0.0897302i
\(115\) −1.43486 + 7.21354i −0.133802 + 0.672666i
\(116\) −5.50267 1.59377i −0.510910 0.147978i
\(117\) 4.64415 + 0.152034i 0.429352 + 0.0140556i
\(118\) −3.06497 + 12.5716i −0.282153 + 1.15731i
\(119\) 5.25074 12.6764i 0.481335 1.16204i
\(120\) 3.06029 + 5.07648i 0.279365 + 0.463417i
\(121\) 4.16202 + 10.0480i 0.378366 + 0.913456i
\(122\) −2.87780 18.5926i −0.260544 1.68329i
\(123\) 2.67744 8.33299i 0.241416 0.751360i
\(124\) −9.55087 11.3432i −0.857693 1.01865i
\(125\) −5.73805 8.58759i −0.513226 0.768098i
\(126\) 0.926131 + 7.62687i 0.0825063 + 0.679455i
\(127\) 20.3875i 1.80909i −0.426374 0.904547i \(-0.640209\pi\)
0.426374 0.904547i \(-0.359791\pi\)
\(128\) 1.05288 + 11.2646i 0.0930623 + 0.995660i
\(129\) 2.70293 4.86370i 0.237980 0.428225i
\(130\) 2.40298 + 1.11805i 0.210755 + 0.0980595i
\(131\) −11.2463 + 7.51452i −0.982592 + 0.656547i −0.939509 0.342524i \(-0.888718\pi\)
−0.0430832 + 0.999071i \(0.513718\pi\)
\(132\) −1.19779 + 0.233577i −0.104254 + 0.0203303i
\(133\) 0.814849 0.162083i 0.0706563 0.0140544i
\(134\) 7.05420 1.09186i 0.609390 0.0943227i
\(135\) 2.68809 + 5.68350i 0.231354 + 0.489158i
\(136\) 10.6682 18.5868i 0.914788 1.59380i
\(137\) −6.80483 2.81865i −0.581376 0.240814i 0.0725597 0.997364i \(-0.476883\pi\)
−0.653935 + 0.756550i \(0.726883\pi\)
\(138\) −10.1096 + 10.9312i −0.860590 + 0.930526i
\(139\) −6.22435 4.15897i −0.527942 0.352760i 0.262858 0.964835i \(-0.415335\pi\)
−0.790800 + 0.612075i \(0.790335\pi\)
\(140\) −1.21913 + 4.20917i −0.103035 + 0.355740i
\(141\) 1.61880 + 1.37345i 0.136327 + 0.115665i
\(142\) 8.27804 + 0.354401i 0.694678 + 0.0297406i
\(143\) −0.385831 + 0.385831i −0.0322648 + 0.0322648i
\(144\) −0.0902327 + 11.9997i −0.00751939 + 0.999972i
\(145\) −2.45071 2.45071i −0.203520 0.203520i
\(146\) −15.2081 16.5685i −1.25863 1.37122i
\(147\) 4.16931 4.91411i 0.343879 0.405309i
\(148\) −10.6319 + 13.2932i −0.873938 + 1.09269i
\(149\) −2.17395 + 3.25354i −0.178097 + 0.266540i −0.909768 0.415117i \(-0.863741\pi\)
0.731671 + 0.681658i \(0.238741\pi\)
\(150\) −0.337936 8.65480i −0.0275924 0.706661i
\(151\) −5.27703 + 12.7399i −0.429438 + 1.03676i 0.550028 + 0.835147i \(0.314617\pi\)
−0.979466 + 0.201610i \(0.935383\pi\)
\(152\) 1.29466 0.0881617i 0.105011 0.00715086i
\(153\) 13.2402 18.4766i 1.07040 1.49375i
\(154\) −0.728019 0.532858i −0.0586654 0.0429389i
\(155\) −1.75015 8.79862i −0.140576 0.706722i
\(156\) 2.96410 + 4.47240i 0.237318 + 0.358079i
\(157\) 8.90728 + 13.3307i 0.710878 + 1.06390i 0.994476 + 0.104961i \(0.0334717\pi\)
−0.283598 + 0.958943i \(0.591528\pi\)
\(158\) −9.40191 + 3.43104i −0.747976 + 0.272959i
\(159\) 0.257313 + 0.142998i 0.0204063 + 0.0113405i
\(160\) −2.73006 + 6.27653i −0.215830 + 0.496203i
\(161\) −11.0076 −0.867519
\(162\) −1.37493 + 12.6534i −0.108025 + 0.994148i
\(163\) 14.0405 9.38160i 1.09974 0.734823i 0.133137 0.991098i \(-0.457495\pi\)
0.966604 + 0.256274i \(0.0824951\pi\)
\(164\) 9.63366 3.05544i 0.752263 0.238590i
\(165\) −0.702898 0.225845i −0.0547205 0.0175820i
\(166\) −9.61424 7.03694i −0.746210 0.546172i
\(167\) −2.92551 + 1.21179i −0.226383 + 0.0937709i −0.492992 0.870034i \(-0.664097\pi\)
0.266609 + 0.963805i \(0.414097\pi\)
\(168\) −6.55814 + 5.97438i −0.505971 + 0.460934i
\(169\) −9.79402 4.05682i −0.753386 0.312063i
\(170\) 11.0784 6.73537i 0.849673 0.516580i
\(171\) 1.37564 + 0.0450338i 0.105197 + 0.00344382i
\(172\) 6.38572 0.710302i 0.486906 0.0541600i
\(173\) −22.7182 4.51893i −1.72723 0.343568i −0.771147 0.636657i \(-0.780317\pi\)
−0.956085 + 0.293089i \(0.905317\pi\)
\(174\) −1.63627 6.82289i −0.124045 0.517242i
\(175\) 4.52778 4.52778i 0.342268 0.342268i
\(176\) −1.02121 0.970986i −0.0769767 0.0731908i
\(177\) −15.2388 + 4.35168i −1.14542 + 0.327093i
\(178\) −14.8109 0.634085i −1.11012 0.0475267i
\(179\) 18.5016 + 3.68020i 1.38288 + 0.275071i 0.829801 0.558060i \(-0.188454\pi\)
0.553076 + 0.833131i \(0.313454\pi\)
\(180\) −3.55036 + 6.33238i −0.264628 + 0.471988i
\(181\) −0.577414 + 0.864161i −0.0429189 + 0.0642326i −0.852309 0.523039i \(-0.824798\pi\)
0.809390 + 0.587272i \(0.199798\pi\)
\(182\) −0.939545 + 3.85374i −0.0696437 + 0.285659i
\(183\) 18.0488 14.3245i 1.33420 1.05890i
\(184\) −17.0514 2.20079i −1.25705 0.162244i
\(185\) −9.51404 + 3.94085i −0.699486 + 0.289737i
\(186\) 6.29007 17.0372i 0.461210 1.24923i
\(187\) 0.520743 + 2.61795i 0.0380805 + 0.191444i
\(188\) −0.209512 + 2.44239i −0.0152802 + 0.178130i
\(189\) −7.55785 + 5.60528i −0.549752 + 0.407724i
\(190\) 0.711783 + 0.331176i 0.0516381 + 0.0240260i
\(191\) −16.8412 −1.21859 −0.609293 0.792945i \(-0.708547\pi\)
−0.609293 + 0.792945i \(0.708547\pi\)
\(192\) −11.3534 + 7.94350i −0.819365 + 0.573273i
\(193\) −11.0212 −0.793325 −0.396662 0.917965i \(-0.629832\pi\)
−0.396662 + 0.917965i \(0.629832\pi\)
\(194\) −0.655825 0.305140i −0.0470855 0.0219078i
\(195\) 0.265267 + 3.23515i 0.0189961 + 0.231674i
\(196\) 7.41424 + 0.636004i 0.529588 + 0.0454289i
\(197\) −0.621690 3.12545i −0.0442936 0.222679i 0.952298 0.305169i \(-0.0987128\pi\)
−0.996592 + 0.0824897i \(0.973713\pi\)
\(198\) −0.974117 1.13357i −0.0692275 0.0805596i
\(199\) −5.19611 + 2.15230i −0.368342 + 0.152572i −0.559174 0.829050i \(-0.688882\pi\)
0.190832 + 0.981623i \(0.438882\pi\)
\(200\) 7.91908 6.10856i 0.559963 0.431941i
\(201\) 5.43485 + 6.84786i 0.383345 + 0.483011i
\(202\) −4.27763 + 17.5456i −0.300973 + 1.23450i
\(203\) 2.88179 4.31291i 0.202262 0.302707i
\(204\) 26.2470 + 0.0986822i 1.83766 + 0.00690914i
\(205\) 5.99680 + 1.19284i 0.418834 + 0.0833114i
\(206\) 15.9012 + 0.680765i 1.10789 + 0.0474312i
\(207\) −17.7594 4.14092i −1.23437 0.287814i
\(208\) −2.22591 + 5.78185i −0.154339 + 0.400899i
\(209\) −0.114286 + 0.114286i −0.00790536 + 0.00790536i
\(210\) −5.21905 + 1.25164i −0.360149 + 0.0863713i
\(211\) −1.77557 0.353183i −0.122235 0.0243141i 0.133594 0.991036i \(-0.457348\pi\)
−0.255829 + 0.966722i \(0.582348\pi\)
\(212\) 0.0375784 + 0.337835i 0.00258090 + 0.0232026i
\(213\) 4.63656 + 9.02661i 0.317692 + 0.618493i
\(214\) −18.9555 + 11.5245i −1.29577 + 0.787797i
\(215\) 3.59117 + 1.48751i 0.244916 + 0.101447i
\(216\) −12.8283 + 7.17186i −0.872853 + 0.487983i
\(217\) 12.4043 5.13805i 0.842061 0.348793i
\(218\) 8.64755 + 6.32939i 0.585686 + 0.428680i
\(219\) 8.42595 26.2241i 0.569373 1.77206i
\(220\) −0.257730 0.812611i −0.0173761 0.0547862i
\(221\) 9.75790 6.52002i 0.656388 0.438584i
\(222\) −20.5901 3.26629i −1.38191 0.219219i
\(223\) 11.7629 0.787703 0.393852 0.919174i \(-0.371142\pi\)
0.393852 + 0.919174i \(0.371142\pi\)
\(224\) −10.0103 2.17479i −0.668844 0.145309i
\(225\) 9.00833 5.60174i 0.600556 0.373449i
\(226\) −0.719134 + 0.262433i −0.0478361 + 0.0174568i
\(227\) 1.26179 + 1.88841i 0.0837482 + 0.125338i 0.870979 0.491321i \(-0.163486\pi\)
−0.787230 + 0.616659i \(0.788486\pi\)
\(228\) 0.877992 + 1.32476i 0.0581464 + 0.0877346i
\(229\) 4.61236 + 23.1879i 0.304793 + 1.53230i 0.764732 + 0.644348i \(0.222871\pi\)
−0.459939 + 0.887951i \(0.652129\pi\)
\(230\) −8.39331 6.14330i −0.553439 0.405077i
\(231\) 0.126282 1.09771i 0.00830874 0.0722243i
\(232\) 5.32638 6.10480i 0.349694 0.400800i
\(233\) −7.38685 + 17.8334i −0.483929 + 1.16831i 0.473800 + 0.880633i \(0.342882\pi\)
−0.957728 + 0.287674i \(0.907118\pi\)
\(234\) −2.96558 + 5.86411i −0.193866 + 0.383349i
\(235\) −0.823923 + 1.23309i −0.0537468 + 0.0804378i
\(236\) −14.2911 11.4300i −0.930268 0.744031i
\(237\) −9.34685 7.93021i −0.607143 0.515123i
\(238\) 13.1214 + 14.2952i 0.850535 + 0.926618i
\(239\) 16.8325 + 16.8325i 1.08880 + 1.08880i 0.995652 + 0.0931492i \(0.0296934\pi\)
0.0931492 + 0.995652i \(0.470307\pi\)
\(240\) −8.33489 + 0.895402i −0.538015 + 0.0577980i
\(241\) 7.55413 7.55413i 0.486605 0.486605i −0.420628 0.907233i \(-0.638190\pi\)
0.907233 + 0.420628i \(0.138190\pi\)
\(242\) −15.3668 0.657884i −0.987813 0.0422904i
\(243\) −14.3023 + 6.20028i −0.917495 + 0.397748i
\(244\) 25.5566 + 7.40212i 1.63610 + 0.473872i
\(245\) 3.74322 + 2.50114i 0.239146 + 0.159792i
\(246\) 9.08739 + 8.40441i 0.579391 + 0.535845i
\(247\) 0.656519 + 0.271939i 0.0417733 + 0.0173031i
\(248\) 20.2424 5.47911i 1.28539 0.347924i
\(249\) 1.66768 14.4964i 0.105685 0.918675i
\(250\) 14.4344 2.23419i 0.912912 0.141303i
\(251\) −0.0778052 + 0.0154764i −0.00491102 + 0.000976863i −0.197545 0.980294i \(-0.563297\pi\)
0.192634 + 0.981271i \(0.438297\pi\)
\(252\) −10.3318 3.36258i −0.650844 0.211823i
\(253\) 1.78051 1.18970i 0.111940 0.0747958i
\(254\) 26.1412 + 12.1629i 1.64024 + 0.763167i
\(255\) 13.8797 + 7.71345i 0.869181 + 0.483035i
\(256\) −15.0718 5.37029i −0.941989 0.335643i
\(257\) 12.0673i 0.752736i 0.926470 + 0.376368i \(0.122827\pi\)
−0.926470 + 0.376368i \(0.877173\pi\)
\(258\) 4.62379 + 6.36737i 0.287865 + 0.396415i
\(259\) −8.56261 12.8149i −0.532055 0.796276i
\(260\) −2.86717 + 2.41413i −0.177814 + 0.149718i
\(261\) 6.27190 5.87427i 0.388221 0.363608i
\(262\) −2.92589 18.9033i −0.180762 1.16785i
\(263\) −6.59833 15.9298i −0.406871 0.982272i −0.985956 0.167006i \(-0.946590\pi\)
0.579085 0.815267i \(-0.303410\pi\)
\(264\) 0.415089 1.67518i 0.0255469 0.103100i
\(265\) −0.0786965 + 0.189990i −0.00483429 + 0.0116710i
\(266\) −0.278301 + 1.14151i −0.0170637 + 0.0699905i
\(267\) −8.29562 16.1502i −0.507684 0.988376i
\(268\) −2.80843 + 9.69642i −0.171552 + 0.592303i
\(269\) −1.04745 + 5.26591i −0.0638644 + 0.321068i −0.999490 0.0319252i \(-0.989836\pi\)
0.935626 + 0.352993i \(0.114836\pi\)
\(270\) −8.89117 + 0.0560261i −0.541100 + 0.00340964i
\(271\) 10.9804 + 10.9804i 0.667010 + 0.667010i 0.957023 0.290013i \(-0.0936596\pi\)
−0.290013 + 0.957023i \(0.593660\pi\)
\(272\) 17.4678 + 24.7675i 1.05914 + 1.50175i
\(273\) −4.67136 + 1.33398i −0.282724 + 0.0807361i
\(274\) 7.67380 7.04371i 0.463591 0.425526i
\(275\) −0.243020 + 1.22175i −0.0146547 + 0.0736741i
\(276\) −7.98492 19.4842i −0.480636 1.17281i
\(277\) −16.5708 11.0722i −0.995642 0.665267i −0.0528340 0.998603i \(-0.516825\pi\)
−0.942808 + 0.333337i \(0.891825\pi\)
\(278\) 9.04607 5.49978i 0.542547 0.329855i
\(279\) 21.9458 3.62326i 1.31386 0.216919i
\(280\) −4.66977 4.07432i −0.279072 0.243487i
\(281\) −0.813714 1.96448i −0.0485421 0.117191i 0.897748 0.440508i \(-0.145202\pi\)
−0.946291 + 0.323318i \(0.895202\pi\)
\(282\) −2.72682 + 1.25627i −0.162380 + 0.0748100i
\(283\) 27.0094 5.37250i 1.60554 0.319362i 0.690688 0.723153i \(-0.257308\pi\)
0.914851 + 0.403791i \(0.132308\pi\)
\(284\) −5.39299 + 10.4028i −0.320015 + 0.617294i
\(285\) 0.0785742 + 0.958277i 0.00465433 + 0.0567634i
\(286\) −0.264538 0.724902i −0.0156425 0.0428644i
\(287\) 9.15088i 0.540160i
\(288\) −15.3324 7.27453i −0.903468 0.428656i
\(289\) 40.4097i 2.37704i
\(290\) 4.60440 1.68028i 0.270380 0.0986697i
\(291\) −0.0723970 0.882941i −0.00424399 0.0517589i
\(292\) 30.3173 9.61553i 1.77419 0.562706i
\(293\) 21.8303 4.34232i 1.27534 0.253681i 0.489442 0.872036i \(-0.337200\pi\)
0.785899 + 0.618354i \(0.212200\pi\)
\(294\) 3.81361 + 8.27765i 0.222414 + 0.482763i
\(295\) −4.23667 10.2282i −0.246669 0.595511i
\(296\) −10.7019 21.5630i −0.622035 1.25332i
\(297\) 0.616687 1.72353i 0.0357838 0.100009i
\(298\) −2.87480 4.72849i −0.166533 0.273914i
\(299\) −7.82830 5.23070i −0.452722 0.302499i
\(300\) 11.2990 + 4.73003i 0.652345 + 0.273088i
\(301\) −1.13494 + 5.70574i −0.0654170 + 0.328873i
\(302\) −13.1871 14.3667i −0.758832 0.826713i
\(303\) −21.2681 + 6.07344i −1.22182 + 0.348910i
\(304\) −0.659333 + 1.71263i −0.0378153 + 0.0982261i
\(305\) 11.3821 + 11.3821i 0.651736 + 0.651736i
\(306\) 15.7922 + 27.9997i 0.902778 + 1.60064i
\(307\) −1.30264 + 6.54884i −0.0743459 + 0.373762i −0.999989 0.00463515i \(-0.998525\pi\)
0.925643 + 0.378397i \(0.123525\pi\)
\(308\) 1.11757 0.615584i 0.0636792 0.0350761i
\(309\) 8.90633 + 17.3391i 0.506663 + 0.986389i
\(310\) 12.3259 + 3.00506i 0.700063 + 0.170676i
\(311\) −8.66081 + 20.9090i −0.491110 + 1.18564i 0.463047 + 0.886334i \(0.346756\pi\)
−0.954156 + 0.299309i \(0.903244\pi\)
\(312\) −7.50294 + 1.13245i −0.424771 + 0.0641126i
\(313\) −0.187664 0.453060i −0.0106074 0.0256085i 0.918487 0.395451i \(-0.129412\pi\)
−0.929094 + 0.369842i \(0.879412\pi\)
\(314\) −22.4068 + 3.46817i −1.26449 + 0.195720i
\(315\) −4.49343 4.79758i −0.253176 0.270313i
\(316\) 1.20971 14.1022i 0.0680514 0.793311i
\(317\) 2.48905 + 3.72513i 0.139799 + 0.209224i 0.894762 0.446544i \(-0.147345\pi\)
−0.754963 + 0.655767i \(0.772345\pi\)
\(318\) −0.336865 + 0.244621i −0.0188904 + 0.0137177i
\(319\) 1.00909i 0.0564983i
\(320\) −6.41917 7.24503i −0.358842 0.405009i
\(321\) −23.7487 13.1980i −1.32552 0.736641i
\(322\) 6.56697 14.1141i 0.365963 0.786550i
\(323\) 2.89037 1.93128i 0.160825 0.107460i
\(324\) −15.4042 9.31183i −0.855790 0.517324i
\(325\) 5.37160 1.06848i 0.297963 0.0592685i
\(326\) 3.65286 + 23.6000i 0.202313 + 1.30708i
\(327\) −1.50000 + 13.0389i −0.0829502 + 0.721050i
\(328\) −1.82957 + 14.1753i −0.101021 + 0.782700i
\(329\) −2.05060 0.849386i −0.113053 0.0468282i
\(330\) 0.708922 0.766532i 0.0390249 0.0421962i
\(331\) −4.72899 3.15981i −0.259929 0.173679i 0.418777 0.908089i \(-0.362459\pi\)
−0.678706 + 0.734410i \(0.737459\pi\)
\(332\) 14.7586 8.12942i 0.809984 0.446160i
\(333\) −8.99396 23.8964i −0.492866 1.30951i
\(334\) 0.191545 4.47408i 0.0104809 0.244811i
\(335\) −4.31846 + 4.31846i −0.235943 + 0.235943i
\(336\) −3.74797 11.9732i −0.204468 0.653192i
\(337\) 16.5565 + 16.5565i 0.901889 + 0.901889i 0.995599 0.0937107i \(-0.0298729\pi\)
−0.0937107 + 0.995599i \(0.529873\pi\)
\(338\) 11.0447 10.1378i 0.600753 0.551426i
\(339\) −0.714922 0.606567i −0.0388293 0.0329442i
\(340\) 2.02701 + 18.2231i 0.109930 + 0.988288i
\(341\) −1.45112 + 2.17176i −0.0785827 + 0.117607i
\(342\) −0.878428 + 1.73700i −0.0475000 + 0.0939261i
\(343\) −7.42938 + 17.9361i −0.401149 + 0.968459i
\(344\) −2.89887 + 8.61164i −0.156296 + 0.464308i
\(345\) 1.45590 12.6555i 0.0783831 0.681350i
\(346\) 19.3476 26.4338i 1.04013 1.42109i
\(347\) 4.52316 + 22.7394i 0.242816 + 1.22072i 0.889133 + 0.457649i \(0.151308\pi\)
−0.646317 + 0.763069i \(0.723692\pi\)
\(348\) 9.72461 + 1.97238i 0.521294 + 0.105731i
\(349\) 12.7156 + 19.0302i 0.680649 + 1.01866i 0.997533 + 0.0701993i \(0.0223635\pi\)
−0.316884 + 0.948464i \(0.602636\pi\)
\(350\) 3.10439 + 8.50682i 0.165937 + 0.454709i
\(351\) −8.03852 + 0.394906i −0.429064 + 0.0210785i
\(352\) 1.85426 0.730139i 0.0988322 0.0389165i
\(353\) −21.2771 −1.13247 −0.566233 0.824245i \(-0.691600\pi\)
−0.566233 + 0.824245i \(0.691600\pi\)
\(354\) 3.51148 22.1357i 0.186633 1.17650i
\(355\) −5.89423 + 3.93840i −0.312833 + 0.209029i
\(356\) 9.64900 18.6125i 0.511396 0.986461i
\(357\) −7.26985 + 22.6260i −0.384761 + 1.19749i
\(358\) −15.7566 + 21.5276i −0.832765 + 1.13777i
\(359\) −15.0547 + 6.23585i −0.794556 + 0.329116i −0.742774 0.669543i \(-0.766490\pi\)
−0.0517820 + 0.998658i \(0.516490\pi\)
\(360\) −6.00140 8.33014i −0.316302 0.439037i
\(361\) −17.3592 7.19043i −0.913644 0.378444i
\(362\) −0.763566 1.25592i −0.0401322 0.0660096i
\(363\) −8.60697 16.7564i −0.451749 0.879480i
\(364\) −4.38082 3.50379i −0.229618 0.183649i
\(365\) 18.8720 + 3.75388i 0.987808 + 0.196487i
\(366\) 7.59951 + 31.6883i 0.397233 + 1.65637i
\(367\) −17.9288 + 17.9288i −0.935877 + 0.935877i −0.998064 0.0621874i \(-0.980192\pi\)
0.0621874 + 0.998064i \(0.480192\pi\)
\(368\) 12.9945 20.5507i 0.677388 1.07128i
\(369\) −3.44245 + 14.7639i −0.179207 + 0.768576i
\(370\) 0.622922 14.5501i 0.0323842 0.756426i
\(371\) −0.301861 0.0600440i −0.0156719 0.00311733i
\(372\) 18.0928 + 18.2294i 0.938070 + 0.945150i
\(373\) 3.81912 5.71572i 0.197747 0.295949i −0.719323 0.694676i \(-0.755548\pi\)
0.917070 + 0.398727i \(0.130548\pi\)
\(374\) −3.66746 0.894128i −0.189640 0.0462343i
\(375\) 11.1209 + 14.0122i 0.574280 + 0.723587i
\(376\) −3.00669 1.72574i −0.155058 0.0889981i
\(377\) 4.09891 1.69782i 0.211105 0.0874424i
\(378\) −2.67829 13.0348i −0.137756 0.670440i
\(379\) 4.14184 + 20.8224i 0.212752 + 1.06958i 0.928533 + 0.371251i \(0.121071\pi\)
−0.715781 + 0.698325i \(0.753929\pi\)
\(380\) −0.849280 + 0.715086i −0.0435671 + 0.0366831i
\(381\) 2.88574 + 35.1940i 0.147841 + 1.80304i
\(382\) 10.0472 21.5941i 0.514061 1.10485i
\(383\) −14.0621 −0.718539 −0.359270 0.933234i \(-0.616974\pi\)
−0.359270 + 0.933234i \(0.616974\pi\)
\(384\) −3.41199 19.2966i −0.174117 0.984725i
\(385\) 0.771888 0.0393391
\(386\) 6.57511 14.1316i 0.334664 0.719280i
\(387\) −3.97753 + 8.77858i −0.202189 + 0.446240i
\(388\) 0.782513 0.658869i 0.0397261 0.0334490i
\(389\) −1.56898 7.88779i −0.0795504 0.399927i −0.999960 0.00897073i \(-0.997144\pi\)
0.920409 0.390956i \(-0.127856\pi\)
\(390\) −4.30642 1.58991i −0.218064 0.0805084i
\(391\) −42.5512 + 17.6253i −2.15191 + 0.891348i
\(392\) −5.23873 + 9.12724i −0.264596 + 0.460995i
\(393\) 18.3503 14.5639i 0.925652 0.734650i
\(394\) 4.37840 + 1.06746i 0.220581 + 0.0537777i
\(395\) 4.75728 7.11978i 0.239365 0.358235i
\(396\) 2.03464 0.572756i 0.102244 0.0287821i
\(397\) 15.0464 + 2.99291i 0.755157 + 0.150210i 0.557633 0.830088i \(-0.311710\pi\)
0.197525 + 0.980298i \(0.436710\pi\)
\(398\) 0.340210 7.94658i 0.0170532 0.398326i
\(399\) −1.38370 + 0.395136i −0.0692715 + 0.0197815i
\(400\) 3.10810 + 13.7983i 0.155405 + 0.689914i
\(401\) 6.24050 6.24050i 0.311636 0.311636i −0.533907 0.845543i \(-0.679277\pi\)
0.845543 + 0.533907i \(0.179277\pi\)
\(402\) −12.0228 + 2.88332i −0.599643 + 0.143807i
\(403\) 11.2632 + 2.24039i 0.561059 + 0.111602i
\(404\) −19.9453 15.9523i −0.992317 0.793658i
\(405\) −5.44481 9.43070i −0.270555 0.468615i
\(406\) 3.81085 + 6.26811i 0.189130 + 0.311081i
\(407\) 2.77006 + 1.14740i 0.137307 + 0.0568744i
\(408\) −15.7852 + 33.5956i −0.781481 + 1.66323i
\(409\) −16.7368 + 6.93262i −0.827583 + 0.342796i −0.755946 0.654634i \(-0.772823\pi\)
−0.0716377 + 0.997431i \(0.522823\pi\)
\(410\) −5.10709 + 6.97757i −0.252221 + 0.344598i
\(411\) 12.1459 + 3.90253i 0.599111 + 0.192498i
\(412\) −10.3593 + 19.9827i −0.510368 + 0.984477i
\(413\) 13.7768 9.20538i 0.677913 0.452967i
\(414\) 15.9046 20.3010i 0.781668 0.997742i
\(415\) 10.1936 0.500383
\(416\) −6.08564 6.30347i −0.298373 0.309053i
\(417\) 11.3335 + 6.29844i 0.555004 + 0.308436i
\(418\) −0.0783585 0.214722i −0.00383264 0.0105024i
\(419\) −19.6961 29.4773i −0.962219 1.44006i −0.896918 0.442196i \(-0.854199\pi\)
−0.0653003 0.997866i \(-0.520801\pi\)
\(420\) 1.50874 7.43868i 0.0736190 0.362970i
\(421\) −2.22772 11.1995i −0.108573 0.545832i −0.996336 0.0855306i \(-0.972741\pi\)
0.887763 0.460301i \(-0.152259\pi\)
\(422\) 1.51214 2.06597i 0.0736098 0.100570i
\(423\) −2.98887 2.14179i −0.145324 0.104138i
\(424\) −0.455597 0.153364i −0.0221258 0.00744802i
\(425\) 10.2528 24.7526i 0.497336 1.20068i
\(426\) −14.3402 + 0.559929i −0.694785 + 0.0271286i
\(427\) −13.3842 + 20.0309i −0.647708 + 0.969364i
\(428\) −3.46830 31.1805i −0.167646 1.50717i
\(429\) 0.611432 0.720657i 0.0295202 0.0347936i
\(430\) −4.04976 + 3.71724i −0.195297 + 0.179261i
\(431\) −5.45637 5.45637i −0.262824 0.262824i 0.563376 0.826200i \(-0.309502\pi\)
−0.826200 + 0.563376i \(0.809502\pi\)
\(432\) −1.54273 20.7273i −0.0742245 0.997242i
\(433\) 6.70357 6.70357i 0.322153 0.322153i −0.527439 0.849593i \(-0.676848\pi\)
0.849593 + 0.527439i \(0.176848\pi\)
\(434\) −0.812161 + 18.9704i −0.0389850 + 0.910607i
\(435\) 4.57744 + 3.88367i 0.219471 + 0.186208i
\(436\) −13.2747 + 7.31202i −0.635741 + 0.350182i
\(437\) −2.31881 1.54938i −0.110924 0.0741168i
\(438\) 28.5982 + 26.4488i 1.36648 + 1.26377i
\(439\) −1.64770 0.682501i −0.0786406 0.0325740i 0.343016 0.939329i \(-0.388551\pi\)
−0.421657 + 0.906755i \(0.638551\pi\)
\(440\) 1.19570 + 0.154327i 0.0570029 + 0.00735723i
\(441\) −6.50173 + 9.07316i −0.309606 + 0.432055i
\(442\) 2.53866 + 16.4015i 0.120752 + 0.780141i
\(443\) −24.1233 + 4.79843i −1.14613 + 0.227980i −0.731391 0.681958i \(-0.761129\pi\)
−0.414743 + 0.909938i \(0.636129\pi\)
\(444\) 16.4718 24.4523i 0.781719 1.16046i
\(445\) 10.5458 7.04650i 0.499920 0.334036i
\(446\) −7.01760 + 15.0826i −0.332293 + 0.714184i
\(447\) 3.29227 5.92416i 0.155719 0.280203i
\(448\) 8.76059 11.5380i 0.413899 0.545119i
\(449\) 16.6611i 0.786288i 0.919477 + 0.393144i \(0.128613\pi\)
−0.919477 + 0.393144i \(0.871387\pi\)
\(450\) 1.80841 + 14.8926i 0.0852491 + 0.702043i
\(451\) −0.989028 1.48019i −0.0465715 0.0696992i
\(452\) 0.0925283 1.07865i 0.00435216 0.0507355i
\(453\) 7.30624 22.7392i 0.343277 1.06838i
\(454\) −3.17412 + 0.491297i −0.148969 + 0.0230577i
\(455\) −1.29872 3.13539i −0.0608850 0.146989i
\(456\) −2.22243 + 0.335442i −0.104075 + 0.0157085i
\(457\) −1.88990 + 4.56262i −0.0884057 + 0.213430i −0.961898 0.273407i \(-0.911849\pi\)
0.873493 + 0.486837i \(0.161849\pi\)
\(458\) −32.4836 7.91953i −1.51786 0.370055i
\(459\) −20.2407 + 33.7695i −0.944753 + 1.57622i
\(460\) 12.8844 7.09705i 0.600738 0.330902i
\(461\) 2.63011 13.2224i 0.122496 0.615830i −0.869949 0.493142i \(-0.835848\pi\)
0.992445 0.122688i \(-0.0391516\pi\)
\(462\) 1.33217 + 0.816802i 0.0619782 + 0.0380011i
\(463\) −30.3105 30.3105i −1.40865 1.40865i −0.766995 0.641653i \(-0.778249\pi\)
−0.641653 0.766995i \(-0.721751\pi\)
\(464\) 4.65005 + 10.4716i 0.215873 + 0.486133i
\(465\) 4.26662 + 14.9410i 0.197860 + 0.692870i
\(466\) −18.4595 20.1107i −0.855118 0.931612i
\(467\) 0.567936 2.85521i 0.0262809 0.132123i −0.965417 0.260709i \(-0.916044\pi\)
0.991698 + 0.128586i \(0.0410437\pi\)
\(468\) −5.74985 7.30097i −0.265787 0.337487i
\(469\) −7.59991 5.07810i −0.350931 0.234485i
\(470\) −1.08955 1.79209i −0.0502571 0.0826631i
\(471\) −17.2631 21.7514i −0.795444 1.00225i
\(472\) 23.1816 11.5053i 1.06702 0.529572i
\(473\) −0.433096 1.04559i −0.0199138 0.0480761i
\(474\) 15.7445 7.25365i 0.723167 0.333171i
\(475\) 1.59111 0.316492i 0.0730052 0.0145216i
\(476\) −26.1576 + 8.29621i −1.19893 + 0.380256i
\(477\) −0.464430 0.210430i −0.0212648 0.00963495i
\(478\) −31.6249 + 11.5409i −1.44649 + 0.527868i
\(479\) 33.2241i 1.51805i −0.651063 0.759023i \(-0.725677\pi\)
0.651063 0.759023i \(-0.274323\pi\)
\(480\) 3.82438 11.2213i 0.174558 0.512181i
\(481\) 13.1825i 0.601068i
\(482\) 5.17936 + 14.1927i 0.235913 + 0.646462i
\(483\) 19.0019 1.55807i 0.864617 0.0708945i
\(484\) 10.0112 19.3111i 0.455052 0.877776i
\(485\) 0.606975 0.120735i 0.0275613 0.00548229i
\(486\) 0.582456 22.0377i 0.0264207 0.999651i
\(487\) 1.13093 + 2.73032i 0.0512475 + 0.123722i 0.947430 0.319963i \(-0.103671\pi\)
−0.896182 + 0.443686i \(0.853671\pi\)
\(488\) −24.7379 + 28.3532i −1.11983 + 1.28349i
\(489\) −22.9097 + 18.1824i −1.03601 + 0.822237i
\(490\) −5.44017 + 3.30748i −0.245762 + 0.149417i
\(491\) 11.3505 + 7.58416i 0.512241 + 0.342268i 0.784676 0.619906i \(-0.212829\pi\)
−0.272435 + 0.962174i \(0.587829\pi\)
\(492\) −16.1977 + 6.63807i −0.730249 + 0.299267i
\(493\) 4.23413 21.2864i 0.190696 0.958691i
\(494\) −0.740356 + 0.679566i −0.0333102 + 0.0305751i
\(495\) 1.24535 + 0.290375i 0.0559743 + 0.0130514i
\(496\) −5.05091 + 29.2239i −0.226792 + 1.31219i
\(497\) −7.50211 7.50211i −0.336516 0.336516i
\(498\) 17.5927 + 10.7867i 0.788348 + 0.483364i
\(499\) 6.99769 35.1797i 0.313259 1.57486i −0.428086 0.903738i \(-0.640812\pi\)
0.741346 0.671124i \(-0.234188\pi\)
\(500\) −5.74665 + 19.8410i −0.256998 + 0.887315i
\(501\) 4.87867 2.50595i 0.217963 0.111958i
\(502\) 0.0265734 0.108996i 0.00118603 0.00486474i
\(503\) −3.21744 + 7.76759i −0.143459 + 0.346340i −0.979234 0.202731i \(-0.935018\pi\)
0.835776 + 0.549071i \(0.185018\pi\)
\(504\) 10.4754 11.2416i 0.466611 0.500740i
\(505\) −5.91292 14.2750i −0.263121 0.635231i
\(506\) 0.463227 + 2.99277i 0.0205929 + 0.133045i
\(507\) 17.4812 + 5.61682i 0.776369 + 0.249452i
\(508\) −31.1909 + 26.2625i −1.38387 + 1.16521i
\(509\) 6.20342 + 9.28407i 0.274962 + 0.411509i 0.943090 0.332536i \(-0.107904\pi\)
−0.668129 + 0.744046i \(0.732904\pi\)
\(510\) −18.1708 + 13.1951i −0.804616 + 0.584288i
\(511\) 28.7980i 1.27395i
\(512\) 15.8775 16.1215i 0.701694 0.712478i
\(513\) −2.38107 + 0.116974i −0.105127 + 0.00516454i
\(514\) −15.4729 7.19918i −0.682480 0.317542i
\(515\) −11.3222 + 7.56524i −0.498915 + 0.333364i
\(516\) −10.9228 + 2.13003i −0.480852 + 0.0937693i
\(517\) 0.423493 0.0842380i 0.0186252 0.00370478i
\(518\) 21.5398 3.33397i 0.946404 0.146486i
\(519\) 39.8571 + 4.58519i 1.74953 + 0.201267i
\(520\) −1.38493 5.11658i −0.0607333 0.224377i
\(521\) 23.1719 + 9.59813i 1.01518 + 0.420502i 0.827342 0.561698i \(-0.189852\pi\)
0.187838 + 0.982200i \(0.439852\pi\)
\(522\) 3.79037 + 11.5465i 0.165900 + 0.505375i
\(523\) 2.25094 + 1.50403i 0.0984265 + 0.0657665i 0.603809 0.797129i \(-0.293649\pi\)
−0.505383 + 0.862895i \(0.668649\pi\)
\(524\) 25.9836 + 7.52580i 1.13510 + 0.328766i
\(525\) −7.17523 + 8.45700i −0.313153 + 0.369094i
\(526\) 24.3619 + 1.04299i 1.06223 + 0.0454764i
\(527\) 39.7235 39.7235i 1.73038 1.73038i
\(528\) 1.90031 + 1.53162i 0.0827004 + 0.0666554i
\(529\) 9.86370 + 9.86370i 0.428856 + 0.428856i
\(530\) −0.196660 0.214252i −0.00854235 0.00930650i
\(531\) 25.6902 9.66911i 1.11486 0.419604i
\(532\) −1.29764 1.03785i −0.0562597 0.0449966i
\(533\) −4.34842 + 6.50786i −0.188351 + 0.281887i
\(534\) 25.6571 1.00181i 1.11029 0.0433526i
\(535\) 7.26329 17.5351i 0.314019 0.758110i
\(536\) −10.7575 9.38577i −0.464651 0.405404i
\(537\) −32.4595 3.73417i −1.40073 0.161141i
\(538\) −6.12715 4.48463i −0.264160 0.193346i
\(539\) −0.255717 1.28558i −0.0110145 0.0553737i
\(540\) 5.23251 11.4339i 0.225172 0.492035i
\(541\) −10.1967 15.2604i −0.438389 0.656096i 0.544825 0.838550i \(-0.316596\pi\)
−0.983214 + 0.182454i \(0.941596\pi\)
\(542\) −20.6300 + 7.52849i −0.886133 + 0.323376i
\(543\) 0.874448 1.57350i 0.0375262 0.0675251i
\(544\) −42.1785 + 7.62157i −1.80839 + 0.326772i
\(545\) −9.16863 −0.392741
\(546\) 1.07642 6.78554i 0.0460665 0.290394i
\(547\) 9.39841 6.27982i 0.401847 0.268506i −0.338182 0.941081i \(-0.609812\pi\)
0.740029 + 0.672575i \(0.234812\pi\)
\(548\) 4.45349 + 14.0417i 0.190244 + 0.599830i
\(549\) −29.1292 + 27.2825i −1.24321 + 1.16439i
\(550\) −1.42156 1.04048i −0.0606157 0.0443663i
\(551\) 1.21413 0.502910i 0.0517237 0.0214247i
\(552\) 29.7467 + 1.38558i 1.26610 + 0.0589743i
\(553\) 11.8400 + 4.90430i 0.503490 + 0.208552i
\(554\) 24.0829 14.6418i 1.02319 0.622071i
\(555\) 15.8659 8.14958i 0.673469 0.345930i
\(556\) 1.65516 + 14.8801i 0.0701945 + 0.631059i
\(557\) −0.973075 0.193557i −0.0412305 0.00820126i 0.174432 0.984669i \(-0.444191\pi\)
−0.215662 + 0.976468i \(0.569191\pi\)
\(558\) −8.44675 + 30.3009i −0.357579 + 1.28274i
\(559\) −3.51846 + 3.51846i −0.148815 + 0.148815i
\(560\) 8.01009 3.55697i 0.338488 0.150310i
\(561\) −1.26949 4.44555i −0.0535981 0.187691i
\(562\) 3.00434 + 0.128622i 0.126730 + 0.00542560i
\(563\) 38.4068 + 7.63958i 1.61865 + 0.321970i 0.919526 0.393028i \(-0.128573\pi\)
0.699126 + 0.714998i \(0.253573\pi\)
\(564\) 0.0159633 4.24585i 0.000672177 0.178783i
\(565\) 0.363875 0.544578i 0.0153084 0.0229106i
\(566\) −9.22470 + 37.8371i −0.387743 + 1.59041i
\(567\) 12.2534 10.7459i 0.514594 0.451287i
\(568\) −10.1213 13.1212i −0.424681 0.550552i
\(569\) −1.65125 + 0.683971i −0.0692241 + 0.0286736i −0.417027 0.908894i \(-0.636928\pi\)
0.347803 + 0.937568i \(0.386928\pi\)
\(570\) −1.27560 0.470946i −0.0534289 0.0197257i
\(571\) 4.40514 + 22.1461i 0.184349 + 0.926787i 0.956586 + 0.291451i \(0.0941382\pi\)
−0.772236 + 0.635336i \(0.780862\pi\)
\(572\) 1.08730 + 0.0932704i 0.0454624 + 0.00389983i
\(573\) 29.0722 2.38378i 1.21451 0.0995840i
\(574\) −11.7334 5.45929i −0.489744 0.227866i
\(575\) −21.4939 −0.896358
\(576\) 18.4746 15.3195i 0.769776 0.638315i
\(577\) 33.8945 1.41105 0.705524 0.708687i \(-0.250712\pi\)
0.705524 + 0.708687i \(0.250712\pi\)
\(578\) 51.8141 + 24.1079i 2.15518 + 1.00276i
\(579\) 19.0255 1.56000i 0.790671 0.0648313i
\(580\) −0.592431 + 6.90628i −0.0245994 + 0.286768i
\(581\) 2.97632 + 14.9630i 0.123479 + 0.620769i
\(582\) 1.17531 + 0.433922i 0.0487183 + 0.0179866i
\(583\) 0.0553166 0.0229129i 0.00229098 0.000948955i
\(584\) −5.75770 + 44.6100i −0.238255 + 1.84597i
\(585\) −0.915837 5.54715i −0.0378652 0.229346i
\(586\) −7.45587 + 30.5818i −0.307999 + 1.26332i
\(587\) 4.76150 7.12609i 0.196528 0.294125i −0.720097 0.693874i \(-0.755903\pi\)
0.916625 + 0.399749i \(0.130903\pi\)
\(588\) −12.8889 0.0484590i −0.531530 0.00199842i
\(589\) 3.33625 + 0.663621i 0.137468 + 0.0273440i
\(590\) 15.6424 + 0.669683i 0.643986 + 0.0275704i
\(591\) 1.51559 + 5.30733i 0.0623430 + 0.218314i
\(592\) 34.0331 0.858004i 1.39875 0.0352638i
\(593\) 8.20538 8.20538i 0.336954 0.336954i −0.518265 0.855220i \(-0.673422\pi\)
0.855220 + 0.518265i \(0.173422\pi\)
\(594\) 1.84203 + 1.81896i 0.0755794 + 0.0746328i
\(595\) −16.2827 3.23883i −0.667525 0.132779i
\(596\) 7.77803 0.865173i 0.318601 0.0354389i
\(597\) 8.66517 4.45090i 0.354642 0.182163i
\(598\) 11.3772 6.91703i 0.465247 0.282858i
\(599\) 37.4991 + 15.5326i 1.53217 + 0.634646i 0.979984 0.199074i \(-0.0637935\pi\)
0.552187 + 0.833720i \(0.313793\pi\)
\(600\) −12.8057 + 11.6659i −0.522792 + 0.476257i
\(601\) 1.67208 0.692599i 0.0682056 0.0282517i −0.348320 0.937376i \(-0.613248\pi\)
0.416525 + 0.909124i \(0.363248\pi\)
\(602\) −6.63892 4.85921i −0.270582 0.198047i
\(603\) −10.3512 11.0519i −0.421535 0.450068i
\(604\) 26.2885 8.33775i 1.06967 0.339258i
\(605\) 10.9416 7.31097i 0.444841 0.297233i
\(606\) 4.90080 30.8937i 0.199081 1.25497i
\(607\) 15.2468 0.618849 0.309425 0.950924i \(-0.399864\pi\)
0.309425 + 0.950924i \(0.399864\pi\)
\(608\) −1.80262 1.86714i −0.0731058 0.0757225i
\(609\) −4.36425 + 7.85310i −0.176848 + 0.318224i
\(610\) −21.3847 + 7.80392i −0.865842 + 0.315972i
\(611\) −1.05471 1.57849i −0.0426690 0.0638587i
\(612\) −45.3231 + 3.54478i −1.83208 + 0.143289i
\(613\) −2.33457 11.7367i −0.0942925 0.474040i −0.998861 0.0477123i \(-0.984807\pi\)
0.904569 0.426328i \(-0.140193\pi\)
\(614\) −7.61990 5.57722i −0.307514 0.225078i
\(615\) −10.5209 1.21033i −0.424242 0.0488051i
\(616\) 0.122588 + 1.80021i 0.00493922 + 0.0725326i
\(617\) 2.95975 7.14546i 0.119155 0.287666i −0.853037 0.521850i \(-0.825242\pi\)
0.972192 + 0.234185i \(0.0752420\pi\)
\(618\) −27.5460 + 1.07556i −1.10806 + 0.0432655i
\(619\) −11.0577 + 16.5490i −0.444447 + 0.665162i −0.984281 0.176610i \(-0.943487\pi\)
0.539834 + 0.841772i \(0.318487\pi\)
\(620\) −11.2066 + 14.0117i −0.450067 + 0.562723i
\(621\) 31.2435 + 4.63454i 1.25376 + 0.185977i
\(622\) −21.6431 23.5791i −0.867807 0.945436i
\(623\) 13.4226 + 13.4226i 0.537765 + 0.537765i
\(624\) 3.02410 10.2960i 0.121061 0.412171i
\(625\) 3.66513 3.66513i 0.146605 0.146605i
\(626\) 0.692879 + 0.0296636i 0.0276930 + 0.00118560i
\(627\) 0.181111 0.213465i 0.00723288 0.00852495i
\(628\) 8.92064 30.7995i 0.355972 1.22903i
\(629\) −53.6189 35.8270i −2.13793 1.42852i
\(630\) 8.83227 2.89938i 0.351886 0.115514i
\(631\) 9.44515 + 3.91231i 0.376006 + 0.155747i 0.562679 0.826675i \(-0.309771\pi\)
−0.186674 + 0.982422i \(0.559771\pi\)
\(632\) 17.3604 + 9.96430i 0.690561 + 0.396359i
\(633\) 3.11508 + 0.358362i 0.123813 + 0.0142436i
\(634\) −6.26136 + 0.969147i −0.248670 + 0.0384897i
\(635\) −24.1940 + 4.81249i −0.960110 + 0.190978i
\(636\) −0.112689 0.577872i −0.00446841 0.0229141i
\(637\) −4.79173 + 3.20173i −0.189855 + 0.126857i
\(638\) −1.29388 0.602010i −0.0512251 0.0238338i
\(639\) −9.28156 14.9260i −0.367173 0.590462i
\(640\) 13.1193 3.90849i 0.518586 0.154497i
\(641\) 8.18398i 0.323248i −0.986852 0.161624i \(-0.948327\pi\)
0.986852 0.161624i \(-0.0516731\pi\)
\(642\) 31.0909 22.5773i 1.22706 0.891054i
\(643\) −14.4944 21.6924i −0.571604 0.855466i 0.427210 0.904152i \(-0.359497\pi\)
−0.998814 + 0.0486863i \(0.984497\pi\)
\(644\) 14.1796 + 16.8406i 0.558756 + 0.663612i
\(645\) −6.40983 2.05952i −0.252387 0.0810933i
\(646\) 0.751973 + 4.85827i 0.0295860 + 0.191146i
\(647\) 3.69489 + 8.92026i 0.145261 + 0.350692i 0.979718 0.200382i \(-0.0642183\pi\)
−0.834457 + 0.551074i \(0.814218\pi\)
\(648\) 21.1297 14.1963i 0.830055 0.557682i
\(649\) −1.23353 + 2.97800i −0.0484202 + 0.116897i
\(650\) −1.83460 + 7.52500i −0.0719589 + 0.295155i
\(651\) −20.6858 + 10.6254i −0.810741 + 0.416441i
\(652\) −32.4396 9.39567i −1.27043 0.367963i
\(653\) −6.19427 + 31.1407i −0.242401 + 1.21863i 0.647354 + 0.762190i \(0.275876\pi\)
−0.889754 + 0.456440i \(0.849124\pi\)
\(654\) −15.8238 9.70213i −0.618759 0.379383i
\(655\) 11.5723 + 11.5723i 0.452166 + 0.452166i
\(656\) −17.0843 10.8027i −0.667031 0.421774i
\(657\) −10.8335 + 46.4622i −0.422654 + 1.81266i
\(658\) 2.31246 2.12258i 0.0901490 0.0827470i
\(659\) 5.78780 29.0972i 0.225461 1.13347i −0.687740 0.725957i \(-0.741397\pi\)
0.913201 0.407510i \(-0.133603\pi\)
\(660\) 0.559929 + 1.36630i 0.0217952 + 0.0531830i
\(661\) −10.4672 6.99398i −0.407128 0.272034i 0.335099 0.942183i \(-0.391230\pi\)
−0.742227 + 0.670149i \(0.766230\pi\)
\(662\) 6.87282 4.17850i 0.267120 0.162402i
\(663\) −15.9218 + 12.6364i −0.618351 + 0.490758i
\(664\) 1.61890 + 23.7737i 0.0628257 + 0.922598i
\(665\) −0.384692 0.928729i −0.0149177 0.0360146i
\(666\) 36.0061 + 2.72404i 1.39521 + 0.105554i
\(667\) −17.0771 + 3.39684i −0.661226 + 0.131526i
\(668\) 5.62248 + 2.91478i 0.217540 + 0.112776i
\(669\) −20.3058 + 1.66498i −0.785069 + 0.0643719i
\(670\) −2.96088 8.11355i −0.114389 0.313454i
\(671\) 4.68663i 0.180926i
\(672\) 17.5882 + 2.33733i 0.678481 + 0.0901646i
\(673\) 14.2382i 0.548843i 0.961609 + 0.274422i \(0.0884864\pi\)
−0.961609 + 0.274422i \(0.911514\pi\)
\(674\) −31.1064 + 11.3517i −1.19817 + 0.437249i
\(675\) −14.7578 + 10.9451i −0.568028 + 0.421278i
\(676\) 6.40980 + 20.2098i 0.246531 + 0.777301i
\(677\) −29.4523 + 5.85843i −1.13194 + 0.225158i −0.725303 0.688430i \(-0.758300\pi\)
−0.406642 + 0.913588i \(0.633300\pi\)
\(678\) 1.20426 0.554818i 0.0462495 0.0213076i
\(679\) 0.354449 + 0.855716i 0.0136025 + 0.0328394i
\(680\) −24.5753 8.27260i −0.942421 0.317240i
\(681\) −2.44548 3.08128i −0.0937108 0.118075i
\(682\) −1.91895 3.15630i −0.0734803 0.120861i
\(683\) −15.3354 10.2468i −0.586795 0.392084i 0.226435 0.974026i \(-0.427293\pi\)
−0.813230 + 0.581943i \(0.802293\pi\)
\(684\) −1.70315 2.16261i −0.0651217 0.0826893i
\(685\) −1.73863 + 8.74071i −0.0664298 + 0.333965i
\(686\) −18.5657 20.2265i −0.708843 0.772252i
\(687\) −11.2442 39.3754i −0.428995 1.50227i
\(688\) −9.31258 8.85457i −0.355039 0.337577i
\(689\) −0.186143 0.186143i −0.00709150 0.00709150i
\(690\) 15.3586 + 9.41689i 0.584691 + 0.358495i
\(691\) −0.954311 + 4.79764i −0.0363037 + 0.182511i −0.994683 0.102989i \(-0.967159\pi\)
0.958379 + 0.285500i \(0.0921595\pi\)
\(692\) 22.3513 + 40.5779i 0.849670 + 1.54254i
\(693\) −0.0626192 + 1.91281i −0.00237871 + 0.0726617i
\(694\) −31.8554 7.76636i −1.20921 0.294807i
\(695\) −3.46623 + 8.36823i −0.131482 + 0.317425i
\(696\) −8.33060 + 11.2924i −0.315770 + 0.428037i
\(697\) 14.6523 + 35.3739i 0.554997 + 1.33988i
\(698\) −31.9868 + 4.95099i −1.21072 + 0.187398i
\(699\) 10.2274 31.8307i 0.386835 1.20395i
\(700\) −12.7596 1.09454i −0.482269 0.0413697i
\(701\) −6.98329 10.4512i −0.263755 0.394738i 0.675827 0.737060i \(-0.263787\pi\)
−0.939583 + 0.342322i \(0.888787\pi\)
\(702\) 4.28931 10.5427i 0.161890 0.397910i
\(703\) 3.90475i 0.147271i
\(704\) −0.170027 + 2.81315i −0.00640812 + 0.106025i
\(705\) 1.24777 2.24525i 0.0469936 0.0845610i
\(706\) 12.6936 27.2819i 0.477731 1.02677i
\(707\) 19.2276 12.8475i 0.723130 0.483180i
\(708\) 26.2879 + 17.7083i 0.987960 + 0.665520i
\(709\) −5.46150 + 1.08636i −0.205111 + 0.0407991i −0.296576 0.955009i \(-0.595845\pi\)
0.0914654 + 0.995808i \(0.470845\pi\)
\(710\) −1.53347 9.90729i −0.0575502 0.371814i
\(711\) 17.2576 + 12.3666i 0.647209 + 0.463783i
\(712\) 18.1088 + 23.4761i 0.678657 + 0.879804i
\(713\) −41.6379 17.2470i −1.55935 0.645904i
\(714\) −24.6743 22.8199i −0.923414 0.854013i
\(715\) 0.548946 + 0.366794i 0.0205294 + 0.0137173i
\(716\) −18.2029 33.0465i −0.680273 1.23501i
\(717\) −31.4397 26.6746i −1.17414 0.996182i
\(718\) 0.985690 23.0236i 0.0367856 0.859234i
\(719\) −8.51084 + 8.51084i −0.317401 + 0.317401i −0.847768 0.530367i \(-0.822054\pi\)
0.530367 + 0.847768i \(0.322054\pi\)
\(720\) 14.2614 2.72546i 0.531492 0.101572i
\(721\) −14.4107 14.4107i −0.536684 0.536684i
\(722\) 19.5760 17.9686i 0.728543 0.668723i
\(723\) −11.9711 + 14.1096i −0.445211 + 0.524743i
\(724\) 2.06590 0.229796i 0.0767784 0.00854028i
\(725\) 5.62713 8.42159i 0.208986 0.312770i
\(726\) 26.6201 1.03941i 0.987965 0.0385762i
\(727\) 13.3478 32.2243i 0.495041 1.19513i −0.457083 0.889424i \(-0.651106\pi\)
0.952124 0.305711i \(-0.0988941\pi\)
\(728\) 7.10617 3.52686i 0.263372 0.130714i
\(729\) 23.8119 12.7277i 0.881921 0.471396i
\(730\) −16.0721 + 21.9586i −0.594855 + 0.812723i
\(731\) 4.74874 + 23.8735i 0.175638 + 0.882994i
\(732\) −45.1651 9.16055i −1.66935 0.338584i
\(733\) 10.7811 + 16.1350i 0.398208 + 0.595961i 0.975345 0.220687i \(-0.0708299\pi\)
−0.577136 + 0.816648i \(0.695830\pi\)
\(734\) −12.2926 33.6848i −0.453727 1.24333i
\(735\) −6.81579 3.78778i −0.251404 0.139714i
\(736\) 18.5981 + 28.9221i 0.685536 + 1.06608i
\(737\) 1.77815 0.0654990
\(738\) −16.8768 13.2219i −0.621243 0.486705i
\(739\) −16.0152 + 10.7010i −0.589130 + 0.393644i −0.814103 0.580721i \(-0.802771\pi\)
0.224973 + 0.974365i \(0.427771\pi\)
\(740\) 18.2848 + 9.47913i 0.672164 + 0.348460i
\(741\) −1.17181 0.376510i −0.0430476 0.0138314i
\(742\) 0.257076 0.351231i 0.00943755 0.0128941i
\(743\) 25.1918 10.4348i 0.924198 0.382815i 0.130723 0.991419i \(-0.458270\pi\)
0.793474 + 0.608604i \(0.208270\pi\)
\(744\) −34.1680 + 12.3236i −1.25266 + 0.451804i
\(745\) 4.37417 + 1.81184i 0.160257 + 0.0663808i
\(746\) 5.05037 + 8.30687i 0.184907 + 0.304136i
\(747\) −0.826951 + 25.2607i −0.0302566 + 0.924239i
\(748\) 3.33442 4.16905i 0.121919 0.152436i
\(749\) 27.8603 + 5.54175i 1.01799 + 0.202491i
\(750\) −24.6013 + 5.89990i −0.898312 + 0.215434i
\(751\) 16.9708 16.9708i 0.619274 0.619274i −0.326072 0.945345i \(-0.605725\pi\)
0.945345 + 0.326072i \(0.105725\pi\)
\(752\) 4.00652 2.82568i 0.146103 0.103042i
\(753\) 0.132121 0.0377292i 0.00481476 0.00137493i
\(754\) −0.268372 + 6.26860i −0.00977353 + 0.228289i
\(755\) 16.3642 + 3.25504i 0.595554 + 0.118463i
\(756\) 18.3114 + 4.34226i 0.665977 + 0.157927i
\(757\) −5.99152 + 8.96695i −0.217766 + 0.325909i −0.924228 0.381842i \(-0.875290\pi\)
0.706462 + 0.707751i \(0.250290\pi\)
\(758\) −29.1698 7.11163i −1.05950 0.258306i
\(759\) −2.90523 + 2.30575i −0.105453 + 0.0836935i
\(760\) −0.410228 1.51557i −0.0148805 0.0549756i
\(761\) 36.4626 15.1033i 1.32177 0.547494i 0.393471 0.919337i \(-0.371274\pi\)
0.928295 + 0.371843i \(0.121274\pi\)
\(762\) −46.8480 17.2961i −1.69712 0.626572i
\(763\) −2.67706 13.4585i −0.0969160 0.487230i
\(764\) 21.6943 + 25.7655i 0.784872 + 0.932162i
\(765\) −25.0517 11.3508i −0.905748 0.410389i
\(766\) 8.38925 18.0307i 0.303116 0.651475i
\(767\) 14.1720 0.511722
\(768\) 26.7780 + 7.13716i 0.966268 + 0.257540i
\(769\) −3.39340 −0.122369 −0.0611845 0.998126i \(-0.519488\pi\)
−0.0611845 + 0.998126i \(0.519488\pi\)
\(770\) −0.460498 + 0.989729i −0.0165952 + 0.0356674i
\(771\) −1.70806 20.8312i −0.0615144 0.750219i
\(772\) 14.1972 + 16.8615i 0.510968 + 0.606857i