Properties

Label 576.2.bm.a.517.37
Level $576$
Weight $2$
Character 576.517
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 517.37
Character \(\chi\) \(=\) 576.517
Dual form 576.2.bm.a.205.37

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.536807 - 1.30837i) q^{2} +(1.62674 - 0.594749i) q^{3} +(-1.42368 + 1.40469i) q^{4} +(-1.11981 + 1.27690i) q^{5} +(-1.65140 - 1.80911i) q^{6} +(-2.38568 + 0.314080i) q^{7} +(2.60209 + 1.10865i) q^{8} +(2.29255 - 1.93500i) q^{9} +O(q^{10})\) \(q+(-0.536807 - 1.30837i) q^{2} +(1.62674 - 0.594749i) q^{3} +(-1.42368 + 1.40469i) q^{4} +(-1.11981 + 1.27690i) q^{5} +(-1.65140 - 1.80911i) q^{6} +(-2.38568 + 0.314080i) q^{7} +(2.60209 + 1.10865i) q^{8} +(2.29255 - 1.93500i) q^{9} +(2.27178 + 0.779681i) q^{10} +(-2.80867 + 5.69543i) q^{11} +(-1.48051 + 3.13179i) q^{12} +(-0.870768 + 2.56520i) q^{13} +(1.69158 + 2.95275i) q^{14} +(-1.06220 + 2.74319i) q^{15} +(0.0537046 - 3.99964i) q^{16} +(2.76608 - 2.76608i) q^{17} +(-3.76236 - 1.96078i) q^{18} +(1.19129 + 5.98901i) q^{19} +(-0.199398 - 3.39088i) q^{20} +(-3.69407 + 1.92980i) q^{21} +(8.95946 + 0.617443i) q^{22} +(0.265750 - 2.01857i) q^{23} +(4.89229 + 0.255890i) q^{24} +(0.276134 + 2.09745i) q^{25} +(3.82367 - 0.237730i) q^{26} +(2.57853 - 4.51123i) q^{27} +(2.95524 - 3.79828i) q^{28} +(-7.63523 - 0.500439i) q^{29} +(4.15931 - 0.0828066i) q^{30} +(6.62077 + 3.82250i) q^{31} +(-5.26185 + 2.07677i) q^{32} +(-1.18162 + 10.9354i) q^{33} +(-5.10392 - 2.13421i) q^{34} +(2.27046 - 3.39798i) q^{35} +(-0.545769 + 5.97513i) q^{36} +(-1.71391 + 8.61640i) q^{37} +(7.19636 - 4.77359i) q^{38} +(0.109140 + 4.69079i) q^{39} +(-4.32949 + 2.08114i) q^{40} +(0.539925 - 4.10114i) q^{41} +(4.50791 + 3.79728i) q^{42} +(5.33531 + 2.63108i) q^{43} +(-4.00166 - 12.0538i) q^{44} +(-0.0964158 + 5.09419i) q^{45} +(-2.78370 + 0.735885i) q^{46} +(-4.40576 - 1.18052i) q^{47} +(-2.29142 - 6.53830i) q^{48} +(-1.16868 + 0.313147i) q^{49} +(2.59601 - 1.48721i) q^{50} +(2.85456 - 6.14482i) q^{51} +(-2.36361 - 4.87517i) q^{52} +(-2.39492 - 3.58425i) q^{53} +(-7.28654 - 0.952015i) q^{54} +(-4.12731 - 9.96421i) q^{55} +(-6.55596 - 1.82761i) q^{56} +(5.49987 + 9.03402i) q^{57} +(3.44389 + 10.2584i) q^{58} +(-5.68362 + 6.48093i) q^{59} +(-2.34109 - 5.39748i) q^{60} +(0.678007 - 10.3444i) q^{61} +(1.44718 - 10.7144i) q^{62} +(-4.86153 + 5.33633i) q^{63} +(5.54179 + 5.76963i) q^{64} +(-2.30041 - 3.98443i) q^{65} +(14.9419 - 4.32421i) q^{66} +(11.2700 - 5.55777i) q^{67} +(-0.0525220 + 7.82349i) q^{68} +(-0.768240 - 3.44174i) q^{69} +(-5.66462 - 1.14654i) q^{70} +(1.14357 - 2.76083i) q^{71} +(8.11066 - 2.49342i) q^{72} +(-3.73050 - 9.00622i) q^{73} +(12.1935 - 2.38292i) q^{74} +(1.69665 + 3.24776i) q^{75} +(-10.1087 - 6.85302i) q^{76} +(4.91176 - 14.4696i) q^{77} +(6.07872 - 2.66085i) q^{78} +(-3.75042 + 13.9967i) q^{79} +(5.04700 + 4.54742i) q^{80} +(1.51154 - 8.87216i) q^{81} +(-5.65565 + 1.49510i) q^{82} +(2.32322 - 2.03741i) q^{83} +(2.54838 - 7.93643i) q^{84} +(0.434521 + 6.62951i) q^{85} +(0.578403 - 8.39296i) q^{86} +(-12.7181 + 3.72696i) q^{87} +(-13.6227 + 11.7062i) q^{88} +(14.7802 + 6.12217i) q^{89} +(6.71686 - 2.60845i) q^{90} +(1.27169 - 6.39323i) q^{91} +(2.45712 + 3.24709i) q^{92} +(13.0437 + 2.28051i) q^{93} +(0.820485 + 6.39808i) q^{94} +(-8.98139 - 5.18541i) q^{95} +(-7.32448 + 6.50784i) q^{96} +(-7.37158 + 4.25599i) q^{97} +(1.03707 + 1.36097i) q^{98} +(4.58165 + 18.4918i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{1}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.536807 1.30837i −0.379580 0.925159i
\(3\) 1.62674 0.594749i 0.939197 0.343379i
\(4\) −1.42368 + 1.40469i −0.711838 + 0.702344i
\(5\) −1.11981 + 1.27690i −0.500795 + 0.571047i −0.945911 0.324425i \(-0.894829\pi\)
0.445116 + 0.895473i \(0.353162\pi\)
\(6\) −1.65140 1.80911i −0.674180 0.738567i
\(7\) −2.38568 + 0.314080i −0.901700 + 0.118711i −0.567100 0.823649i \(-0.691935\pi\)
−0.334600 + 0.942360i \(0.608601\pi\)
\(8\) 2.60209 + 1.10865i 0.919979 + 0.391967i
\(9\) 2.29255 1.93500i 0.764182 0.645001i
\(10\) 2.27178 + 0.779681i 0.718401 + 0.246557i
\(11\) −2.80867 + 5.69543i −0.846847 + 1.71724i −0.164279 + 0.986414i \(0.552530\pi\)
−0.682568 + 0.730822i \(0.739137\pi\)
\(12\) −1.48051 + 3.13179i −0.427386 + 0.904069i
\(13\) −0.870768 + 2.56520i −0.241508 + 0.711459i 0.756819 + 0.653625i \(0.226753\pi\)
−0.998326 + 0.0578336i \(0.981581\pi\)
\(14\) 1.69158 + 2.95275i 0.452094 + 0.789156i
\(15\) −1.06220 + 2.74319i −0.274260 + 0.708288i
\(16\) 0.0537046 3.99964i 0.0134261 0.999910i
\(17\) 2.76608 2.76608i 0.670874 0.670874i −0.287044 0.957917i \(-0.592673\pi\)
0.957917 + 0.287044i \(0.0926725\pi\)
\(18\) −3.76236 1.96078i −0.886796 0.462160i
\(19\) 1.19129 + 5.98901i 0.273300 + 1.37397i 0.836643 + 0.547749i \(0.184515\pi\)
−0.563342 + 0.826224i \(0.690485\pi\)
\(20\) −0.199398 3.39088i −0.0445867 0.758223i
\(21\) −3.69407 + 1.92980i −0.806112 + 0.421118i
\(22\) 8.95946 + 0.617443i 1.91016 + 0.131639i
\(23\) 0.265750 2.01857i 0.0554128 0.420902i −0.941145 0.338003i \(-0.890249\pi\)
0.996558 0.0828992i \(-0.0264180\pi\)
\(24\) 4.89229 + 0.255890i 0.998635 + 0.0522332i
\(25\) 0.276134 + 2.09745i 0.0552268 + 0.419489i
\(26\) 3.82367 0.237730i 0.749884 0.0466226i
\(27\) 2.57853 4.51123i 0.496238 0.868186i
\(28\) 2.95524 3.79828i 0.558488 0.717807i
\(29\) −7.63523 0.500439i −1.41783 0.0929293i −0.662885 0.748721i \(-0.730668\pi\)
−0.754942 + 0.655792i \(0.772335\pi\)
\(30\) 4.15931 0.0828066i 0.759383 0.0151183i
\(31\) 6.62077 + 3.82250i 1.18912 + 0.686541i 0.958108 0.286408i \(-0.0924614\pi\)
0.231017 + 0.972950i \(0.425795\pi\)
\(32\) −5.26185 + 2.07677i −0.930172 + 0.367125i
\(33\) −1.18162 + 10.9354i −0.205694 + 1.90361i
\(34\) −5.10392 2.13421i −0.875315 0.366014i
\(35\) 2.27046 3.39798i 0.383777 0.574364i
\(36\) −0.545769 + 5.97513i −0.0909616 + 0.995854i
\(37\) −1.71391 + 8.61640i −0.281765 + 1.41653i 0.537574 + 0.843217i \(0.319341\pi\)
−0.819339 + 0.573310i \(0.805659\pi\)
\(38\) 7.19636 4.77359i 1.16740 0.774379i
\(39\) 0.109140 + 4.69079i 0.0174765 + 0.751128i
\(40\) −4.32949 + 2.08114i −0.684553 + 0.329056i
\(41\) 0.539925 4.10114i 0.0843221 0.640490i −0.896138 0.443775i \(-0.853639\pi\)
0.980461 0.196716i \(-0.0630276\pi\)
\(42\) 4.50791 + 3.79728i 0.695585 + 0.585933i
\(43\) 5.33531 + 2.63108i 0.813627 + 0.401236i 0.800986 0.598684i \(-0.204309\pi\)
0.0126415 + 0.999920i \(0.495976\pi\)
\(44\) −4.00166 12.0538i −0.603272 1.81717i
\(45\) −0.0964158 + 5.09419i −0.0143728 + 0.759397i
\(46\) −2.78370 + 0.735885i −0.410435 + 0.108500i
\(47\) −4.40576 1.18052i −0.642646 0.172196i −0.0772444 0.997012i \(-0.524612\pi\)
−0.565402 + 0.824816i \(0.691279\pi\)
\(48\) −2.29142 6.53830i −0.330738 0.943723i
\(49\) −1.16868 + 0.313147i −0.166954 + 0.0447353i
\(50\) 2.59601 1.48721i 0.367131 0.210323i
\(51\) 2.85456 6.14482i 0.399719 0.860446i
\(52\) −2.36361 4.87517i −0.327774 0.676064i
\(53\) −2.39492 3.58425i −0.328967 0.492334i 0.629710 0.776830i \(-0.283174\pi\)
−0.958677 + 0.284496i \(0.908174\pi\)
\(54\) −7.28654 0.952015i −0.991573 0.129553i
\(55\) −4.12731 9.96421i −0.556526 1.34357i
\(56\) −6.55596 1.82761i −0.876077 0.244225i
\(57\) 5.49987 + 9.03402i 0.728476 + 1.19659i
\(58\) 3.44389 + 10.2584i 0.452204 + 1.34699i
\(59\) −5.68362 + 6.48093i −0.739944 + 0.843745i −0.992296 0.123891i \(-0.960463\pi\)
0.252352 + 0.967636i \(0.418796\pi\)
\(60\) −2.34109 5.39748i −0.302234 0.696811i
\(61\) 0.678007 10.3444i 0.0868099 1.32446i −0.703035 0.711156i \(-0.748172\pi\)
0.789845 0.613307i \(-0.210161\pi\)
\(62\) 1.44718 10.7144i 0.183792 1.36073i
\(63\) −4.86153 + 5.33633i −0.612495 + 0.672314i
\(64\) 5.54179 + 5.76963i 0.692723 + 0.721203i
\(65\) −2.30041 3.98443i −0.285331 0.494207i
\(66\) 14.9419 4.32421i 1.83922 0.532274i
\(67\) 11.2700 5.55777i 1.37685 0.678989i 0.404944 0.914341i \(-0.367291\pi\)
0.971910 + 0.235352i \(0.0756244\pi\)
\(68\) −0.0525220 + 7.82349i −0.00636923 + 0.948737i
\(69\) −0.768240 3.44174i −0.0924852 0.414337i
\(70\) −5.66462 1.14654i −0.677052 0.137038i
\(71\) 1.14357 2.76083i 0.135717 0.327650i −0.841380 0.540444i \(-0.818256\pi\)
0.977097 + 0.212794i \(0.0682563\pi\)
\(72\) 8.11066 2.49342i 0.955851 0.293853i
\(73\) −3.73050 9.00622i −0.436622 1.05410i −0.977108 0.212745i \(-0.931760\pi\)
0.540486 0.841353i \(-0.318240\pi\)
\(74\) 12.1935 2.38292i 1.41746 0.277008i
\(75\) 1.69665 + 3.24776i 0.195913 + 0.375020i
\(76\) −10.1087 6.85302i −1.15955 0.786095i
\(77\) 4.91176 14.4696i 0.559747 1.64896i
\(78\) 6.07872 2.66085i 0.688279 0.301282i
\(79\) −3.75042 + 13.9967i −0.421955 + 1.57476i 0.348529 + 0.937298i \(0.386681\pi\)
−0.770484 + 0.637459i \(0.779985\pi\)
\(80\) 5.04700 + 4.54742i 0.564272 + 0.508417i
\(81\) 1.51154 8.87216i 0.167949 0.985796i
\(82\) −5.65565 + 1.49510i −0.624562 + 0.165106i
\(83\) 2.32322 2.03741i 0.255006 0.223635i −0.522292 0.852767i \(-0.674923\pi\)
0.777298 + 0.629132i \(0.216590\pi\)
\(84\) 2.54838 7.93643i 0.278051 0.865935i
\(85\) 0.434521 + 6.62951i 0.0471304 + 0.719071i
\(86\) 0.578403 8.39296i 0.0623708 0.905036i
\(87\) −12.7181 + 3.72696i −1.36353 + 0.399573i
\(88\) −13.6227 + 11.7062i −1.45218 + 1.24789i
\(89\) 14.7802 + 6.12217i 1.56670 + 0.648948i 0.986237 0.165338i \(-0.0528716\pi\)
0.580463 + 0.814287i \(0.302872\pi\)
\(90\) 6.71686 2.60845i 0.708019 0.274955i
\(91\) 1.27169 6.39323i 0.133310 0.670192i
\(92\) 2.45712 + 3.24709i 0.256173 + 0.338533i
\(93\) 13.0437 + 2.28051i 1.35257 + 0.236478i
\(94\) 0.820485 + 6.39808i 0.0846266 + 0.659912i
\(95\) −8.98139 5.18541i −0.921471 0.532012i
\(96\) −7.32448 + 6.50784i −0.747552 + 0.664204i
\(97\) −7.37158 + 4.25599i −0.748471 + 0.432130i −0.825141 0.564927i \(-0.808904\pi\)
0.0766702 + 0.997057i \(0.475571\pi\)
\(98\) 1.03707 + 1.36097i 0.104760 + 0.137479i
\(99\) 4.58165 + 18.4918i 0.460473 + 1.85850i
\(100\) −3.33938 2.59820i −0.333938 0.259820i
\(101\) −2.67997 + 0.909727i −0.266667 + 0.0905212i −0.451570 0.892235i \(-0.649136\pi\)
0.184904 + 0.982757i \(0.440803\pi\)
\(102\) −9.57206 0.436249i −0.947775 0.0431951i
\(103\) 2.49797 1.91676i 0.246133 0.188864i −0.478326 0.878182i \(-0.658756\pi\)
0.724459 + 0.689318i \(0.242090\pi\)
\(104\) −5.10973 + 5.70951i −0.501050 + 0.559864i
\(105\) 1.67249 6.87797i 0.163218 0.671222i
\(106\) −3.40392 + 5.05750i −0.330618 + 0.491227i
\(107\) −0.224449 + 0.149972i −0.0216983 + 0.0144983i −0.566372 0.824150i \(-0.691653\pi\)
0.544674 + 0.838648i \(0.316653\pi\)
\(108\) 2.66588 + 10.0446i 0.256524 + 0.966538i
\(109\) −0.0751852 0.377981i −0.00720143 0.0362040i 0.977017 0.213159i \(-0.0683753\pi\)
−0.984219 + 0.176955i \(0.943375\pi\)
\(110\) −10.8213 + 10.7489i −1.03177 + 1.02487i
\(111\) 2.33652 + 15.0360i 0.221773 + 1.42715i
\(112\) 1.12809 + 9.55871i 0.106594 + 0.903213i
\(113\) −3.24264 + 0.868862i −0.305042 + 0.0817357i −0.408093 0.912940i \(-0.633806\pi\)
0.103051 + 0.994676i \(0.467139\pi\)
\(114\) 8.86750 12.0454i 0.830517 1.12816i
\(115\) 2.27993 + 2.59976i 0.212604 + 0.242429i
\(116\) 11.5731 10.0127i 1.07453 0.929651i
\(117\) 2.96739 + 7.56578i 0.274335 + 0.699456i
\(118\) 11.5305 + 3.95728i 1.06147 + 0.364297i
\(119\) −5.73020 + 7.46775i −0.525287 + 0.684567i
\(120\) −5.80519 + 5.96042i −0.529939 + 0.544110i
\(121\) −17.8529 23.2663i −1.62299 2.11512i
\(122\) −13.8983 + 4.66586i −1.25829 + 0.422427i
\(123\) −1.56083 6.99259i −0.140736 0.630501i
\(124\) −14.7952 + 3.85811i −1.32865 + 0.346468i
\(125\) −10.0482 6.71396i −0.898734 0.600515i
\(126\) 9.59161 + 3.49610i 0.854488 + 0.311458i
\(127\) 13.7021 1.21587 0.607934 0.793987i \(-0.291998\pi\)
0.607934 + 0.793987i \(0.291998\pi\)
\(128\) 4.57395 10.3479i 0.404284 0.914634i
\(129\) 10.2440 + 1.10691i 0.901932 + 0.0974579i
\(130\) −3.97824 + 5.14866i −0.348914 + 0.451567i
\(131\) −4.90199 + 2.41739i −0.428289 + 0.211209i −0.643641 0.765328i \(-0.722577\pi\)
0.215352 + 0.976537i \(0.430910\pi\)
\(132\) −13.6786 17.2283i −1.19057 1.49953i
\(133\) −4.72305 13.9137i −0.409541 1.20647i
\(134\) −13.3215 11.7620i −1.15080 1.01608i
\(135\) 2.87292 + 8.34425i 0.247262 + 0.718159i
\(136\) 10.2642 4.13099i 0.880150 0.354229i
\(137\) 8.02935 10.4641i 0.685994 0.894005i −0.312440 0.949937i \(-0.601146\pi\)
0.998435 + 0.0559325i \(0.0178132\pi\)
\(138\) −4.09069 + 2.85270i −0.348222 + 0.242838i
\(139\) −1.83821 + 0.120483i −0.155915 + 0.0102192i −0.143161 0.989699i \(-0.545727\pi\)
−0.0127543 + 0.999919i \(0.504060\pi\)
\(140\) 1.54071 + 8.02691i 0.130213 + 0.678398i
\(141\) −7.86912 + 0.699928i −0.662700 + 0.0589445i
\(142\) −4.22607 0.0141854i −0.354644 0.00119042i
\(143\) −12.1642 12.1642i −1.01722 1.01722i
\(144\) −7.61619 9.27328i −0.634682 0.772773i
\(145\) 9.18903 9.18903i 0.763108 0.763108i
\(146\) −9.78093 + 9.71548i −0.809475 + 0.804059i
\(147\) −1.71489 + 1.20448i −0.141442 + 0.0993438i
\(148\) −9.66330 14.6745i −0.794318 1.20623i
\(149\) 0.598193 + 9.12666i 0.0490059 + 0.747685i 0.949686 + 0.313203i \(0.101402\pi\)
−0.900680 + 0.434482i \(0.856931\pi\)
\(150\) 3.33851 3.96328i 0.272588 0.323600i
\(151\) 2.05078 + 1.57362i 0.166890 + 0.128059i 0.688830 0.724923i \(-0.258125\pi\)
−0.521940 + 0.852982i \(0.674791\pi\)
\(152\) −3.53988 + 16.9047i −0.287122 + 1.37115i
\(153\) 0.988999 11.6937i 0.0799558 0.945384i
\(154\) −21.5683 + 1.34097i −1.73802 + 0.108058i
\(155\) −12.2950 + 4.17358i −0.987555 + 0.335230i
\(156\) −6.74448 6.52486i −0.539991 0.522407i
\(157\) 4.01748 + 8.14663i 0.320629 + 0.650172i 0.996197 0.0871256i \(-0.0277681\pi\)
−0.675568 + 0.737298i \(0.736101\pi\)
\(158\) 20.3262 2.60662i 1.61707 0.207371i
\(159\) −6.02763 4.40625i −0.478022 0.349439i
\(160\) 3.24045 9.04445i 0.256180 0.715026i
\(161\) 4.89913i 0.386106i
\(162\) −12.4195 + 2.78499i −0.975768 + 0.218809i
\(163\) −6.92046 + 10.3572i −0.542052 + 0.811239i −0.996846 0.0793580i \(-0.974713\pi\)
0.454794 + 0.890597i \(0.349713\pi\)
\(164\) 4.99214 + 6.59712i 0.389821 + 0.515148i
\(165\) −12.6403 13.7544i −0.984042 1.07078i
\(166\) −3.91281 1.94594i −0.303693 0.151034i
\(167\) −5.53235 + 4.24512i −0.428106 + 0.328498i −0.800238 0.599682i \(-0.795294\pi\)
0.372132 + 0.928180i \(0.378627\pi\)
\(168\) −11.7518 + 0.926102i −0.906670 + 0.0714503i
\(169\) 4.49158 + 3.44651i 0.345506 + 0.265116i
\(170\) 8.44061 4.12728i 0.647365 0.316548i
\(171\) 14.3198 + 11.4249i 1.09506 + 0.873687i
\(172\) −11.2916 + 3.74863i −0.860977 + 0.285831i
\(173\) 11.9264 10.4592i 0.906747 0.795196i −0.0726046 0.997361i \(-0.523131\pi\)
0.979351 + 0.202165i \(0.0647978\pi\)
\(174\) 11.7035 + 14.6394i 0.887236 + 1.10981i
\(175\) −1.31753 4.91710i −0.0995961 0.371698i
\(176\) 22.6288 + 11.5396i 1.70571 + 0.869827i
\(177\) −5.39123 + 13.9231i −0.405230 + 1.04652i
\(178\) 0.0759424 22.6244i 0.00569212 1.69577i
\(179\) −3.88672 + 0.773116i −0.290507 + 0.0577854i −0.338192 0.941077i \(-0.609815\pi\)
0.0476855 + 0.998862i \(0.484815\pi\)
\(180\) −7.01848 7.38791i −0.523127 0.550662i
\(181\) −5.53267 8.28023i −0.411240 0.615465i 0.566806 0.823851i \(-0.308179\pi\)
−0.978047 + 0.208386i \(0.933179\pi\)
\(182\) −9.04737 + 1.76808i −0.670636 + 0.131059i
\(183\) −5.04938 17.2308i −0.373261 1.27374i
\(184\) 2.92940 4.95790i 0.215958 0.365501i
\(185\) −9.08303 11.8372i −0.667797 0.870291i
\(186\) −4.01819 18.2902i −0.294628 1.34110i
\(187\) 7.98500 + 23.5231i 0.583921 + 1.72018i
\(188\) 7.93063 4.50804i 0.578401 0.328783i
\(189\) −4.73465 + 11.5722i −0.344395 + 0.841753i
\(190\) −1.96317 + 14.5346i −0.142423 + 1.05445i
\(191\) 10.9907 + 19.0364i 0.795256 + 1.37742i 0.922676 + 0.385575i \(0.125997\pi\)
−0.127420 + 0.991849i \(0.540670\pi\)
\(192\) 12.4465 + 6.08969i 0.898250 + 0.439486i
\(193\) −5.24588 + 9.08613i −0.377607 + 0.654034i −0.990713 0.135966i \(-0.956586\pi\)
0.613107 + 0.790000i \(0.289920\pi\)
\(194\) 9.52554 + 7.36013i 0.683894 + 0.528427i
\(195\) −6.11190 5.11345i −0.437682 0.366181i
\(196\) 1.22395 2.08745i 0.0874249 0.149104i
\(197\) 7.41582 + 1.47510i 0.528355 + 0.105096i 0.452058 0.891989i \(-0.350690\pi\)
0.0762977 + 0.997085i \(0.475690\pi\)
\(198\) 21.7347 15.9210i 1.54462 1.13146i
\(199\) −1.57763 + 3.80873i −0.111835 + 0.269994i −0.969881 0.243579i \(-0.921678\pi\)
0.858046 + 0.513573i \(0.171678\pi\)
\(200\) −1.60681 + 5.76389i −0.113619 + 0.407569i
\(201\) 15.0279 15.7439i 1.05999 1.11049i
\(202\) 2.62889 + 3.01805i 0.184968 + 0.212349i
\(203\) 18.3724 1.20419i 1.28949 0.0845174i
\(204\) 4.56758 + 12.7580i 0.319794 + 0.893238i
\(205\) 4.63213 + 5.28193i 0.323522 + 0.368906i
\(206\) −3.84877 2.23935i −0.268156 0.156023i
\(207\) −3.29670 5.14190i −0.229136 0.357387i
\(208\) 10.2131 + 3.62052i 0.708152 + 0.251038i
\(209\) −37.4559 10.0363i −2.59088 0.694224i
\(210\) −9.89676 + 1.50391i −0.682941 + 0.103779i
\(211\) −13.7686 4.67382i −0.947871 0.321759i −0.195653 0.980673i \(-0.562683\pi\)
−0.752218 + 0.658914i \(0.771016\pi\)
\(212\) 8.44434 + 1.73869i 0.579959 + 0.119414i
\(213\) 0.218291 5.17128i 0.0149571 0.354330i
\(214\) 0.316705 + 0.213156i 0.0216495 + 0.0145711i
\(215\) −9.33418 + 3.86634i −0.636585 + 0.263682i
\(216\) 11.7110 8.87995i 0.796829 0.604204i
\(217\) −16.9956 7.03979i −1.15373 0.477892i
\(218\) −0.454180 + 0.301273i −0.0307610 + 0.0204048i
\(219\) −11.4250 12.4320i −0.772029 0.840079i
\(220\) 19.8725 + 8.38822i 1.33981 + 0.565533i
\(221\) 4.68694 + 9.50417i 0.315278 + 0.639320i
\(222\) 18.4184 11.1284i 1.23616 0.746893i
\(223\) 16.8821 9.74690i 1.13051 0.652701i 0.186448 0.982465i \(-0.440303\pi\)
0.944063 + 0.329764i \(0.106969\pi\)
\(224\) 11.9008 6.60714i 0.795155 0.441458i
\(225\) 4.69161 + 4.27418i 0.312774 + 0.284945i
\(226\) 2.87747 + 3.77617i 0.191406 + 0.251187i
\(227\) 2.31327 + 0.151620i 0.153537 + 0.0100633i 0.141978 0.989870i \(-0.454654\pi\)
0.0115592 + 0.999933i \(0.496321\pi\)
\(228\) −20.5200 5.13592i −1.35897 0.340135i
\(229\) 2.39673 + 2.10187i 0.158380 + 0.138896i 0.734868 0.678210i \(-0.237244\pi\)
−0.576488 + 0.817106i \(0.695577\pi\)
\(230\) 2.17757 4.37857i 0.143585 0.288714i
\(231\) −0.615631 26.4595i −0.0405056 1.74091i
\(232\) −19.3128 9.76699i −1.26795 0.641235i
\(233\) −5.02111 + 2.07981i −0.328944 + 0.136253i −0.541042 0.840995i \(-0.681970\pi\)
0.212099 + 0.977248i \(0.431970\pi\)
\(234\) 8.30594 7.94382i 0.542976 0.519304i
\(235\) 6.44103 4.30376i 0.420166 0.280746i
\(236\) −1.01205 17.2104i −0.0658786 1.12030i
\(237\) 2.22361 + 24.9996i 0.144439 + 1.62390i
\(238\) 12.8466 + 3.48850i 0.832722 + 0.226126i
\(239\) −0.703171 2.62427i −0.0454843 0.169750i 0.939447 0.342693i \(-0.111339\pi\)
−0.984932 + 0.172943i \(0.944672\pi\)
\(240\) 10.9147 + 4.39575i 0.704542 + 0.283745i
\(241\) 5.14975 19.2191i 0.331725 1.23801i −0.575652 0.817695i \(-0.695252\pi\)
0.907376 0.420319i \(-0.138082\pi\)
\(242\) −20.8574 + 35.8477i −1.34077 + 2.30438i
\(243\) −2.81784 15.3317i −0.180764 0.983526i
\(244\) 13.5654 + 15.6794i 0.868434 + 1.00377i
\(245\) 0.908845 1.84296i 0.0580640 0.117742i
\(246\) −8.31105 + 5.79583i −0.529893 + 0.369528i
\(247\) −16.4003 2.15915i −1.04353 0.137383i
\(248\) 12.9900 + 17.2866i 0.824868 + 1.09770i
\(249\) 2.56752 4.69606i 0.162710 0.297601i
\(250\) −3.39044 + 16.7508i −0.214430 + 1.05942i
\(251\) 26.9622 + 5.36311i 1.70184 + 0.338516i 0.947933 0.318469i \(-0.103169\pi\)
0.753903 + 0.656986i \(0.228169\pi\)
\(252\) −0.574640 14.4261i −0.0361989 0.908761i
\(253\) 10.7502 + 7.18308i 0.675862 + 0.451596i
\(254\) −7.35541 17.9275i −0.461520 1.12487i
\(255\) 4.64975 + 10.5260i 0.291178 + 0.659166i
\(256\) −15.9942 0.429598i −0.999639 0.0268499i
\(257\) 1.00431 1.73952i 0.0626473 0.108508i −0.833001 0.553272i \(-0.813379\pi\)
0.895648 + 0.444764i \(0.146712\pi\)
\(258\) −4.05080 13.9971i −0.252192 0.871424i
\(259\) 1.38259 21.0942i 0.0859099 1.31073i
\(260\) 8.87191 + 2.44117i 0.550213 + 0.151395i
\(261\) −18.4725 + 13.6269i −1.14342 + 0.843484i
\(262\) 5.79427 + 5.11595i 0.357971 + 0.316064i
\(263\) 13.8060 1.81759i 0.851315 0.112078i 0.307773 0.951460i \(-0.400416\pi\)
0.543542 + 0.839382i \(0.317083\pi\)
\(264\) −15.1983 + 27.1450i −0.935388 + 1.67066i
\(265\) 7.25859 + 0.955611i 0.445891 + 0.0587027i
\(266\) −15.6689 + 13.6485i −0.960721 + 0.836842i
\(267\) 27.6847 + 1.16863i 1.69427 + 0.0715190i
\(268\) −8.23795 + 23.7433i −0.503213 + 1.45036i
\(269\) 24.3311 4.83976i 1.48349 0.295085i 0.614109 0.789221i \(-0.289516\pi\)
0.869384 + 0.494136i \(0.164516\pi\)
\(270\) 9.37518 8.23811i 0.570555 0.501355i
\(271\) −0.822971 0.822971i −0.0499919 0.0499919i 0.681669 0.731661i \(-0.261254\pi\)
−0.731661 + 0.681669i \(0.761254\pi\)
\(272\) −10.9148 11.2119i −0.661806 0.679820i
\(273\) −1.73366 11.1564i −0.104926 0.675218i
\(274\) −18.0011 4.88820i −1.08749 0.295307i
\(275\) −12.7214 4.31834i −0.767131 0.260406i
\(276\) 5.92830 + 3.82079i 0.356842 + 0.229985i
\(277\) 24.7469 + 12.2038i 1.48690 + 0.733256i 0.990841 0.135035i \(-0.0431145\pi\)
0.496056 + 0.868291i \(0.334781\pi\)
\(278\) 1.14440 + 2.34039i 0.0686367 + 0.140367i
\(279\) 22.5750 4.04793i 1.35153 0.242343i
\(280\) 9.67512 6.32472i 0.578199 0.377974i
\(281\) −1.41801 10.7709i −0.0845916 0.642537i −0.980245 0.197785i \(-0.936625\pi\)
0.895654 0.444752i \(-0.146708\pi\)
\(282\) 5.13997 + 9.92002i 0.306081 + 0.590728i
\(283\) 16.3129 + 14.3060i 0.969699 + 0.850403i 0.988775 0.149415i \(-0.0477391\pi\)
−0.0190758 + 0.999818i \(0.506072\pi\)
\(284\) 2.25003 + 5.53689i 0.133514 + 0.328554i
\(285\) −17.6944 3.09362i −1.04812 0.183250i
\(286\) −9.38548 + 22.4452i −0.554975 + 1.32721i
\(287\) 9.95356i 0.587540i
\(288\) −8.04447 + 14.9428i −0.474025 + 0.880511i
\(289\) 1.69757i 0.0998570i
\(290\) −16.9554 7.08993i −0.995656 0.416335i
\(291\) −9.46038 + 11.3076i −0.554578 + 0.662864i
\(292\) 17.9619 + 7.58175i 1.05114 + 0.443688i
\(293\) −1.75118 1.53574i −0.102305 0.0897191i 0.606665 0.794957i \(-0.292507\pi\)
−0.708971 + 0.705238i \(0.750840\pi\)
\(294\) 2.49648 + 1.59714i 0.145597 + 0.0931473i
\(295\) −1.91091 14.5148i −0.111258 0.845087i
\(296\) −14.0123 + 20.5205i −0.814450 + 1.19273i
\(297\) 18.4511 + 27.3564i 1.07064 + 1.58738i
\(298\) 11.6200 5.68192i 0.673126 0.329145i
\(299\) 4.94664 + 2.43941i 0.286072 + 0.141075i
\(300\) −6.97758 2.24050i −0.402851 0.129355i
\(301\) −13.5547 4.60120i −0.781279 0.265209i
\(302\) 0.958004 3.52791i 0.0551269 0.203008i
\(303\) −3.81855 + 3.07380i −0.219370 + 0.176585i
\(304\) 24.0179 4.44308i 1.37752 0.254828i
\(305\) 12.4495 + 12.4495i 0.712857 + 0.712857i
\(306\) −15.8307 + 4.98331i −0.904980 + 0.284877i
\(307\) −21.0216 + 4.18146i −1.19977 + 0.238649i −0.754228 0.656613i \(-0.771988\pi\)
−0.445541 + 0.895262i \(0.646988\pi\)
\(308\) 13.3325 + 27.4995i 0.759690 + 1.56693i
\(309\) 2.92355 4.60373i 0.166315 0.261897i
\(310\) 12.0606 + 13.8460i 0.684997 + 0.786399i
\(311\) 0.122251 + 0.0160946i 0.00693221 + 0.000912643i 0.133992 0.990982i \(-0.457221\pi\)
−0.127059 + 0.991895i \(0.540554\pi\)
\(312\) −4.91646 + 12.3269i −0.278340 + 0.697873i
\(313\) 26.5741 3.49854i 1.50205 0.197749i 0.665816 0.746116i \(-0.268083\pi\)
0.836238 + 0.548366i \(0.184750\pi\)
\(314\) 8.50222 9.62953i 0.479808 0.543426i
\(315\) −1.36997 12.1834i −0.0771889 0.686455i
\(316\) −14.3217 25.1950i −0.805658 1.41733i
\(317\) 0.283499 4.32535i 0.0159229 0.242936i −0.982477 0.186385i \(-0.940323\pi\)
0.998400 0.0565513i \(-0.0180105\pi\)
\(318\) −2.52934 + 10.2517i −0.141838 + 0.574886i
\(319\) 24.2951 42.0803i 1.36026 2.35605i
\(320\) −13.5730 + 0.615414i −0.758754 + 0.0344027i
\(321\) −0.275923 + 0.377455i −0.0154005 + 0.0210675i
\(322\) 6.40989 2.62989i 0.357209 0.146558i
\(323\) 19.8613 + 13.2709i 1.10511 + 0.738412i
\(324\) 10.3107 + 14.7543i 0.572815 + 0.819684i
\(325\) −5.62082 1.11805i −0.311787 0.0620183i
\(326\) 17.2660 + 3.49472i 0.956277 + 0.193554i
\(327\) −0.347111 0.570160i −0.0191953 0.0315299i
\(328\) 5.95167 10.0730i 0.328626 0.556186i
\(329\) 10.8815 + 1.43258i 0.599916 + 0.0789804i
\(330\) −11.2105 + 23.9216i −0.617119 + 1.31684i
\(331\) 13.2421 26.8523i 0.727851 1.47594i −0.145764 0.989319i \(-0.546564\pi\)
0.873616 0.486617i \(-0.161769\pi\)
\(332\) −0.445588 + 6.16401i −0.0244548 + 0.338294i
\(333\) 12.7435 + 23.0699i 0.698341 + 1.26422i
\(334\) 8.52401 + 4.95956i 0.466413 + 0.271375i
\(335\) −5.52360 + 20.6144i −0.301787 + 1.12628i
\(336\) 7.52013 + 14.8786i 0.410257 + 0.811693i
\(337\) −0.349081 1.30279i −0.0190156 0.0709674i 0.955766 0.294128i \(-0.0950292\pi\)
−0.974782 + 0.223161i \(0.928363\pi\)
\(338\) 2.09820 7.72677i 0.114127 0.420281i
\(339\) −4.75816 + 3.34197i −0.258428 + 0.181511i
\(340\) −9.93100 8.82790i −0.538584 0.478760i
\(341\) −40.3664 + 26.9719i −2.18596 + 1.46061i
\(342\) 7.26108 24.8687i 0.392634 1.34474i
\(343\) 18.2514 7.55998i 0.985483 0.408201i
\(344\) 10.9660 + 12.7613i 0.591248 + 0.688044i
\(345\) 5.25505 + 2.87314i 0.282922 + 0.154685i
\(346\) −20.0867 9.98960i −1.07987 0.537044i
\(347\) 7.12535 + 6.24877i 0.382509 + 0.335451i 0.828910 0.559381i \(-0.188961\pi\)
−0.446401 + 0.894833i \(0.647295\pi\)
\(348\) 12.8713 23.1710i 0.689974 1.24210i
\(349\) 7.11265 + 0.466188i 0.380731 + 0.0249545i 0.254568 0.967055i \(-0.418067\pi\)
0.126164 + 0.992009i \(0.459734\pi\)
\(350\) −5.72614 + 4.36336i −0.306075 + 0.233231i
\(351\) 9.32690 + 10.5427i 0.497833 + 0.562727i
\(352\) 2.95072 35.8014i 0.157274 1.90822i
\(353\) 7.20682 4.16086i 0.383580 0.221460i −0.295795 0.955252i \(-0.595584\pi\)
0.679375 + 0.733791i \(0.262251\pi\)
\(354\) 21.1106 0.420286i 1.12202 0.0223380i
\(355\) 2.24472 + 4.55184i 0.119137 + 0.241587i
\(356\) −29.6420 + 12.0456i −1.57102 + 0.638416i
\(357\) −4.88010 + 15.5561i −0.258282 + 0.823316i
\(358\) 3.09794 + 4.67026i 0.163731 + 0.246831i
\(359\) −32.5496 13.4825i −1.71790 0.711578i −0.999879 0.0155574i \(-0.995048\pi\)
−0.718022 0.696020i \(-0.754952\pi\)
\(360\) −5.89856 + 13.1487i −0.310882 + 0.692996i
\(361\) −16.8954 + 6.99828i −0.889229 + 0.368331i
\(362\) −7.86365 + 11.6837i −0.413304 + 0.614081i
\(363\) −42.8796 27.2302i −2.25059 1.42921i
\(364\) 7.17001 + 10.8882i 0.375811 + 0.570697i
\(365\) 15.6775 + 5.32179i 0.820598 + 0.278555i
\(366\) −19.8338 + 15.8561i −1.03673 + 0.828812i
\(367\) 7.66245 + 2.05315i 0.399977 + 0.107173i 0.453199 0.891409i \(-0.350283\pi\)
−0.0532225 + 0.998583i \(0.516949\pi\)
\(368\) −8.05930 1.17131i −0.420120 0.0610589i
\(369\) −6.69791 10.4468i −0.348679 0.543839i
\(370\) −10.6117 + 18.2383i −0.551674 + 0.948164i
\(371\) 6.83924 + 7.79866i 0.355076 + 0.404886i
\(372\) −21.7734 + 15.0756i −1.12890 + 0.781633i
\(373\) 8.16274 0.535014i 0.422651 0.0277020i 0.147406 0.989076i \(-0.452908\pi\)
0.275245 + 0.961374i \(0.411241\pi\)
\(374\) 26.4905 23.0747i 1.36979 1.19316i
\(375\) −20.3388 4.94572i −1.05029 0.255396i
\(376\) −10.1554 7.95627i −0.523726 0.410313i
\(377\) 7.93224 19.1501i 0.408531 0.986282i
\(378\) 17.6823 0.0173595i 0.909481 0.000892874i
\(379\) −2.15625 0.428906i −0.110759 0.0220314i 0.139399 0.990236i \(-0.455483\pi\)
−0.250159 + 0.968205i \(0.580483\pi\)
\(380\) 20.0705 5.23371i 1.02959 0.268484i
\(381\) 22.2898 8.14934i 1.14194 0.417503i
\(382\) 19.0068 24.5987i 0.972473 1.25858i
\(383\) −12.7330 + 22.0541i −0.650624 + 1.12691i 0.332348 + 0.943157i \(0.392159\pi\)
−0.982972 + 0.183757i \(0.941174\pi\)
\(384\) 1.28620 19.5537i 0.0656364 0.997844i
\(385\) 12.9760 + 22.4751i 0.661317 + 1.14543i
\(386\) 14.7041 + 1.98606i 0.748417 + 0.101088i
\(387\) 17.3226 4.29195i 0.880557 0.218172i
\(388\) 4.51641 16.4139i 0.229286 0.833290i
\(389\) −10.7944 31.7992i −0.547297 1.61229i −0.770449 0.637501i \(-0.779968\pi\)
0.223152 0.974784i \(-0.428365\pi\)
\(390\) −3.40938 + 10.7416i −0.172641 + 0.543921i
\(391\) −4.84846 6.31863i −0.245197 0.319547i
\(392\) −3.38819 0.480821i −0.171129 0.0242851i
\(393\) −6.53650 + 6.84792i −0.329723 + 0.345432i
\(394\) −2.05089 10.4945i −0.103322 0.528705i
\(395\) −13.6727 20.4626i −0.687948 1.02959i
\(396\) −32.4980 19.8906i −1.63309 0.999539i
\(397\) 12.2054 2.42780i 0.612570 0.121848i 0.120952 0.992658i \(-0.461405\pi\)
0.491619 + 0.870811i \(0.336405\pi\)
\(398\) 5.83012 + 0.0195697i 0.292238 + 0.000980939i
\(399\) −15.9583 19.8248i −0.798915 0.992484i
\(400\) 8.40386 0.991795i 0.420193 0.0495897i
\(401\) −0.976293 3.64357i −0.0487537 0.181951i 0.937255 0.348644i \(-0.113358\pi\)
−0.986009 + 0.166693i \(0.946691\pi\)
\(402\) −28.6659 11.2107i −1.42973 0.559137i
\(403\) −15.5706 + 13.6551i −0.775628 + 0.680208i
\(404\) 2.53752 5.05968i 0.126247 0.251728i
\(405\) 9.63623 + 11.8652i 0.478828 + 0.589588i
\(406\) −11.4379 23.3915i −0.567656 1.16090i
\(407\) −44.2603 33.9621i −2.19390 1.68344i
\(408\) 14.2403 12.8247i 0.705000 0.634916i
\(409\) 5.40820 4.14986i 0.267418 0.205197i −0.466344 0.884603i \(-0.654429\pi\)
0.733763 + 0.679406i \(0.237762\pi\)
\(410\) 4.42417 8.89593i 0.218494 0.439339i
\(411\) 6.83816 21.7977i 0.337301 1.07520i
\(412\) −0.863851 + 6.23772i −0.0425589 + 0.307310i
\(413\) 11.5237 17.2465i 0.567046 0.848645i
\(414\) −4.95783 + 7.07352i −0.243664 + 0.347645i
\(415\) 5.24803i 0.257616i
\(416\) −0.745484 15.3061i −0.0365504 0.750442i
\(417\) −2.91863 + 1.28927i −0.142926 + 0.0631358i
\(418\) 6.97542 + 54.3938i 0.341179 + 2.66049i
\(419\) 3.18388 + 6.45626i 0.155543 + 0.315409i 0.960670 0.277693i \(-0.0895697\pi\)
−0.805127 + 0.593102i \(0.797903\pi\)
\(420\) 7.28032 + 12.1413i 0.355243 + 0.592436i
\(421\) −3.60686 + 1.22436i −0.175788 + 0.0596719i −0.407946 0.913006i \(-0.633755\pi\)
0.232158 + 0.972678i \(0.425421\pi\)
\(422\) 1.27601 + 20.5234i 0.0621150 + 0.999064i
\(423\) −12.3847 + 5.81875i −0.602165 + 0.282918i
\(424\) −2.25812 11.9817i −0.109664 0.581882i
\(425\) 6.56552 + 5.03790i 0.318475 + 0.244374i
\(426\) −6.88314 + 2.49038i −0.333489 + 0.120659i
\(427\) 1.63146 + 24.8913i 0.0789520 + 1.20457i
\(428\) 0.108879 0.528792i 0.00526284 0.0255601i
\(429\) −27.0226 12.5533i −1.30466 0.606080i
\(430\) 10.0693 + 10.1371i 0.485583 + 0.488854i
\(431\) 20.9182 20.9182i 1.00759 1.00759i 0.00762149 0.999971i \(-0.497574\pi\)
0.999971 0.00762149i \(-0.00242602\pi\)
\(432\) −17.9048 10.5555i −0.861446 0.507850i
\(433\) −15.2605 15.2605i −0.733371 0.733371i 0.237915 0.971286i \(-0.423536\pi\)
−0.971286 + 0.237915i \(0.923536\pi\)
\(434\) −0.0873251 + 26.0155i −0.00419174 + 1.24879i
\(435\) 9.48297 20.4133i 0.454673 0.978743i
\(436\) 0.637985 + 0.432511i 0.0305539 + 0.0207135i
\(437\) 12.4058 0.813122i 0.593452 0.0388969i
\(438\) −10.1327 + 21.6217i −0.484160 + 1.03313i
\(439\) −2.78802 + 3.63342i −0.133065 + 0.173414i −0.855133 0.518408i \(-0.826525\pi\)
0.722068 + 0.691822i \(0.243192\pi\)
\(440\) 0.307178 30.5035i 0.0146442 1.45420i
\(441\) −2.07331 + 2.97930i −0.0987293 + 0.141872i
\(442\) 9.91901 11.2342i 0.471799 0.534355i
\(443\) 6.26401 + 18.4532i 0.297612 + 0.876738i 0.988157 + 0.153448i \(0.0490376\pi\)
−0.690544 + 0.723290i \(0.742629\pi\)
\(444\) −24.4473 18.1242i −1.16022 0.860139i
\(445\) −24.3685 + 12.0172i −1.15518 + 0.569670i
\(446\) −21.8150 16.8559i −1.03297 0.798150i
\(447\) 6.40118 + 14.4909i 0.302765 + 0.685396i
\(448\) −15.0330 12.0239i −0.710244 0.568076i
\(449\) −13.3244 −0.628818 −0.314409 0.949288i \(-0.601806\pi\)
−0.314409 + 0.949288i \(0.601806\pi\)
\(450\) 3.07372 8.43279i 0.144896 0.397525i
\(451\) 21.8413 + 14.5939i 1.02846 + 0.687198i
\(452\) 3.39598 5.79187i 0.159734 0.272427i
\(453\) 4.27198 + 1.34016i 0.200715 + 0.0629663i
\(454\) −1.04340 3.10801i −0.0489694 0.145866i
\(455\) 6.73946 + 8.78303i 0.315951 + 0.411755i
\(456\) 4.29560 + 29.6048i 0.201160 + 1.38637i
\(457\) −11.3438 + 14.7835i −0.530640 + 0.691544i −0.979359 0.202129i \(-0.935214\pi\)
0.448719 + 0.893673i \(0.351881\pi\)
\(458\) 1.46345 4.26411i 0.0683826 0.199249i
\(459\) −5.34601 19.6109i −0.249530 0.915357i
\(460\) −6.89773 0.498628i −0.321608 0.0232486i
\(461\) 14.2607 + 16.2612i 0.664185 + 0.757358i 0.981604 0.190928i \(-0.0611496\pi\)
−0.317419 + 0.948285i \(0.602816\pi\)
\(462\) −34.2884 + 15.0091i −1.59524 + 0.698288i
\(463\) 15.8353 4.24307i 0.735931 0.197192i 0.128662 0.991688i \(-0.458932\pi\)
0.607269 + 0.794496i \(0.292265\pi\)
\(464\) −2.41162 + 30.5113i −0.111957 + 1.41645i
\(465\) −17.5184 + 14.1017i −0.812398 + 0.653952i
\(466\) 5.41653 + 5.45302i 0.250916 + 0.252606i
\(467\) 1.70650 + 8.57918i 0.0789676 + 0.396997i 0.999972 + 0.00744551i \(0.00237000\pi\)
−0.921005 + 0.389552i \(0.872630\pi\)
\(468\) −14.8522 6.60296i −0.686541 0.305222i
\(469\) −25.1411 + 16.7987i −1.16091 + 0.775693i
\(470\) −9.08851 6.11697i −0.419222 0.282155i
\(471\) 11.3806 + 10.8630i 0.524390 + 0.500542i
\(472\) −21.9744 + 10.5628i −1.01145 + 0.486194i
\(473\) −29.9703 + 22.9970i −1.37804 + 1.05740i
\(474\) 31.5151 16.3293i 1.44754 0.750029i
\(475\) −12.2327 + 4.15243i −0.561274 + 0.190527i
\(476\) −2.33190 18.6808i −0.106883 0.856233i
\(477\) −12.4260 3.58289i −0.568947 0.164049i
\(478\) −3.05605 + 2.32874i −0.139781 + 0.106514i
\(479\) −25.5181 + 14.7329i −1.16595 + 0.673162i −0.952723 0.303841i \(-0.901731\pi\)
−0.213228 + 0.977003i \(0.568398\pi\)
\(480\) −0.107822 16.6402i −0.00492140 0.759517i
\(481\) −20.6104 11.8994i −0.939752 0.542566i
\(482\) −27.9102 + 3.57918i −1.27128 + 0.163027i
\(483\) 2.91375 + 7.96960i 0.132580 + 0.362629i
\(484\) 58.0986 + 8.04598i 2.64085 + 0.365726i
\(485\) 2.82032 14.1787i 0.128064 0.643821i
\(486\) −18.5469 + 11.9169i −0.841304 + 0.540563i
\(487\) 15.4452 + 6.39763i 0.699891 + 0.289904i 0.704114 0.710087i \(-0.251344\pi\)
−0.00422324 + 0.999991i \(0.501344\pi\)
\(488\) 13.2325 26.1654i 0.599009 1.18445i
\(489\) −5.09783 + 20.9644i −0.230532 + 0.948042i
\(490\) −2.89915 0.199795i −0.130970 0.00902584i
\(491\) −1.31499 20.0629i −0.0593447 0.905425i −0.918927 0.394428i \(-0.870943\pi\)
0.859582 0.510998i \(-0.170724\pi\)
\(492\) 12.0445 + 7.76270i 0.543009 + 0.349970i
\(493\) −22.5039 + 19.7354i −1.01353 + 0.888839i
\(494\) 5.97886 + 22.6168i 0.269002 + 1.01758i
\(495\) −28.7428 14.8571i −1.29189 0.667775i
\(496\) 15.6442 26.2754i 0.702445 1.17980i
\(497\) −1.86107 + 6.94562i −0.0834805 + 0.311553i
\(498\) −7.52246 0.838390i −0.337089 0.0375692i
\(499\) 4.85023 14.2883i 0.217126 0.639633i −0.782725 0.622368i \(-0.786171\pi\)
0.999851 0.0172650i \(-0.00549590\pi\)
\(500\) 23.7363 4.55602i 1.06152 0.203751i
\(501\) −6.47490 + 10.1961i −0.289277 + 0.455527i
\(502\) −7.45655 38.1555i −0.332802 1.70296i
\(503\) −6.17830 14.9157i −0.275477 0.665060i 0.724223 0.689566i \(-0.242199\pi\)
−0.999700 + 0.0245061i \(0.992199\pi\)
\(504\) −18.5663 + 8.49589i −0.827007 + 0.378437i
\(505\) 1.83943 4.44078i 0.0818536 0.197612i
\(506\) 3.62733 17.9212i 0.161255 0.796696i
\(507\) 9.35643 + 2.93520i 0.415533 + 0.130357i
\(508\) −19.5074 + 19.2472i −0.865501 + 0.853958i
\(509\) 0.680304 0.335489i 0.0301539 0.0148703i −0.427149 0.904181i \(-0.640482\pi\)
0.457303 + 0.889311i \(0.348815\pi\)
\(510\) 11.2759 11.7340i 0.499307 0.519592i
\(511\) 11.7284 + 20.3142i 0.518835 + 0.898649i
\(512\) 8.02375 + 21.1570i 0.354603 + 0.935017i
\(513\) 30.0896 + 10.0687i 1.32849 + 0.444542i
\(514\) −2.81506 0.380227i −0.124167 0.0167711i
\(515\) −0.349745 + 5.33607i −0.0154116 + 0.235136i
\(516\) −16.1390 + 12.8137i −0.710478 + 0.564092i
\(517\) 19.0979 21.7770i 0.839925 0.957751i
\(518\) −28.3413 + 9.51460i −1.24524 + 0.418047i
\(519\) 13.1805 24.1075i 0.578561 1.05820i
\(520\) −1.56854 12.9182i −0.0687852 0.566501i
\(521\) 10.9079 + 26.3340i 0.477883 + 1.15371i 0.960600 + 0.277935i \(0.0896500\pi\)
−0.482717 + 0.875776i \(0.660350\pi\)
\(522\) 27.7452 + 16.8538i 1.21438 + 0.737673i
\(523\) 1.39500 + 2.08777i 0.0609992 + 0.0912918i 0.860715 0.509087i \(-0.170017\pi\)
−0.799716 + 0.600378i \(0.795017\pi\)
\(524\) 3.58316 10.3273i 0.156531 0.451152i
\(525\) −5.06772 7.21523i −0.221174 0.314898i
\(526\) −9.78925 17.0877i −0.426832 0.745059i
\(527\) 28.8869 7.74023i 1.25834 0.337170i
\(528\) 43.6743 + 5.31335i 1.90068 + 0.231234i
\(529\) 18.2123 + 4.87996i 0.791838 + 0.212172i
\(530\) −2.64617 10.0099i −0.114942 0.434803i
\(531\) −0.489360 + 25.8556i −0.0212364 + 1.12204i
\(532\) 26.2685 + 13.1741i 1.13888 + 0.571171i
\(533\) 10.0501 + 4.95616i 0.435318 + 0.214675i
\(534\) −13.3323 36.8492i −0.576947 1.59462i
\(535\) 0.0598412 0.454539i 0.00258716 0.0196514i
\(536\) 35.4873 1.96730i 1.53282 0.0849743i
\(537\) −5.86286 + 3.56928i −0.253001 + 0.154026i
\(538\) −19.3933 29.2361i −0.836105 1.26046i
\(539\) 1.49894 7.53567i 0.0645638 0.324584i
\(540\) −15.8112 7.84395i −0.680405 0.337550i
\(541\) −13.3477 + 19.9763i −0.573864 + 0.858849i −0.998927 0.0463152i \(-0.985252\pi\)
0.425062 + 0.905164i \(0.360252\pi\)
\(542\) −0.634975 + 1.51853i −0.0272745 + 0.0652264i
\(543\) −13.9249 10.1792i −0.597573 0.436832i
\(544\) −8.81018 + 20.2992i −0.377734 + 0.870322i
\(545\) 0.566838 + 0.327264i 0.0242807 + 0.0140185i
\(546\) −13.6661 + 8.25713i −0.584856 + 0.353372i
\(547\) −30.0152 1.96730i −1.28336 0.0841156i −0.591591 0.806239i \(-0.701500\pi\)
−0.691765 + 0.722123i \(0.743166\pi\)
\(548\) 3.26754 + 26.1762i 0.139582 + 1.11819i
\(549\) −18.4620 25.0269i −0.787941 1.06812i
\(550\) 1.17896 + 18.9625i 0.0502709 + 0.808563i
\(551\) −6.09862 46.3236i −0.259810 1.97345i
\(552\) 1.81666 9.80745i 0.0773222 0.417433i
\(553\) 4.55118 34.5696i 0.193536 1.47005i
\(554\) 2.68282 38.9292i 0.113982 1.65395i
\(555\) −21.8159 13.8539i −0.926033 0.588067i
\(556\) 2.44778 2.75364i 0.103809 0.116780i
\(557\) −3.73913 18.7979i −0.158432 0.796491i −0.975508 0.219962i \(-0.929407\pi\)
0.817076 0.576529i \(-0.195593\pi\)
\(558\) −17.4146 27.3635i −0.737219 1.15839i
\(559\) −11.3951 + 11.3951i −0.481960 + 0.481960i
\(560\) −13.4688 9.26350i −0.569159 0.391454i
\(561\) 26.9798 + 33.5167i 1.13909 + 1.41508i
\(562\) −13.3311 + 7.63718i −0.562340 + 0.322155i
\(563\) −2.18347 + 6.43231i −0.0920224 + 0.271089i −0.983190 0.182585i \(-0.941554\pi\)
0.891168 + 0.453674i \(0.149887\pi\)
\(564\) 10.2199 12.0501i 0.430335 0.507402i
\(565\) 2.52169 5.11349i 0.106088 0.215126i
\(566\) 9.96070 29.0229i 0.418679 1.21992i
\(567\) −0.819470 + 21.6408i −0.0344145 + 0.908830i
\(568\) 6.03648 5.91611i 0.253285 0.248235i
\(569\) −1.98612 + 0.261477i −0.0832624 + 0.0109617i −0.172042 0.985090i \(-0.555037\pi\)
0.0887799 + 0.996051i \(0.471703\pi\)
\(570\) 5.45087 + 24.8115i 0.228312 + 1.03924i
\(571\) 11.5797 13.2041i 0.484596 0.552576i −0.456936 0.889500i \(-0.651053\pi\)
0.941532 + 0.336923i \(0.109386\pi\)
\(572\) 34.4048 + 0.230972i 1.43854 + 0.00965744i
\(573\) 29.2008 + 24.4305i 1.21988 + 1.02060i
\(574\) 13.0230 5.34315i 0.543568 0.223019i
\(575\) 4.30724 0.179624
\(576\) 23.8690 + 2.50377i 0.994543 + 0.104324i
\(577\) −27.5408 −1.14654 −0.573268 0.819368i \(-0.694325\pi\)
−0.573268 + 0.819368i \(0.694325\pi\)
\(578\) 2.22105 0.911267i 0.0923836 0.0379037i
\(579\) −3.12970 + 17.9007i −0.130066 + 0.743929i
\(580\) −0.174480 + 25.9899i −0.00724489 + 1.07917i
\(581\) −4.90254 + 5.59027i −0.203392 + 0.231924i
\(582\) 19.8730 + 6.30769i 0.823761 + 0.261462i
\(583\) 27.1404 3.57310i 1.12404 0.147983i
\(584\) 0.277645 27.5708i 0.0114891 1.14089i
\(585\) −12.9837 4.68319i −0.536809 0.193626i
\(586\) −1.06928 + 3.11560i −0.0441715 + 0.128704i
\(587\) −14.6745 + 29.7569i −0.605680 + 1.22820i 0.350814 + 0.936445i \(0.385905\pi\)
−0.956494 + 0.291753i \(0.905762\pi\)
\(588\) 0.749532 4.12368i 0.0309102 0.170058i
\(589\) −15.0058 + 44.2055i −0.618301 + 1.82146i
\(590\) −17.9650 + 10.2919i −0.739608 + 0.423709i
\(591\) 12.9409 2.01096i 0.532318 0.0827197i
\(592\) 34.3704 + 7.31775i 1.41262 + 0.300758i
\(593\) −13.4778 + 13.4778i −0.553468 + 0.553468i −0.927440 0.373972i \(-0.877996\pi\)
0.373972 + 0.927440i \(0.377996\pi\)
\(594\) 25.8876 38.8261i 1.06218 1.59305i
\(595\) −3.11882 15.6794i −0.127859 0.642792i
\(596\) −13.6717 12.1531i −0.560016 0.497811i
\(597\) −0.301146 + 7.13410i −0.0123251 + 0.291979i
\(598\) 0.536267 7.78154i 0.0219296 0.318211i
\(599\) −2.56182 + 19.4589i −0.104673 + 0.795070i 0.855919 + 0.517109i \(0.172992\pi\)
−0.960592 + 0.277961i \(0.910341\pi\)
\(600\) 0.814214 + 10.3320i 0.0332402 + 0.421802i
\(601\) 0.484459 + 3.67983i 0.0197615 + 0.150103i 0.998481 0.0551000i \(-0.0175478\pi\)
−0.978719 + 0.205203i \(0.934214\pi\)
\(602\) 1.25618 + 20.2045i 0.0511980 + 0.823475i
\(603\) 15.0828 34.5490i 0.614219 1.40694i
\(604\) −5.13008 + 0.640382i −0.208740 + 0.0260568i
\(605\) 49.7006 + 3.25755i 2.02062 + 0.132438i
\(606\) 6.07149 + 3.34604i 0.246638 + 0.135924i
\(607\) −10.2905 5.94124i −0.417680 0.241147i 0.276404 0.961041i \(-0.410857\pi\)
−0.694084 + 0.719894i \(0.744190\pi\)
\(608\) −18.7062 29.0392i −0.758635 1.17770i
\(609\) 29.1708 12.8858i 1.18206 0.522161i
\(610\) 9.60561 22.9716i 0.388920 0.930092i
\(611\) 6.86466 10.2737i 0.277715 0.415629i
\(612\) 15.0181 + 18.0373i 0.607069 + 0.729116i
\(613\) −5.87587 + 29.5400i −0.237324 + 1.19311i 0.659838 + 0.751408i \(0.270625\pi\)
−0.897162 + 0.441701i \(0.854375\pi\)
\(614\) 16.7555 + 25.2595i 0.676196 + 1.01939i
\(615\) 10.6767 + 5.83736i 0.430526 + 0.235385i
\(616\) 28.8226 32.2058i 1.16130 1.29761i
\(617\) −1.48396 + 11.2718i −0.0597420 + 0.453786i 0.935262 + 0.353955i \(0.115163\pi\)
−0.995004 + 0.0998306i \(0.968170\pi\)
\(618\) −7.59278 1.35377i −0.305426 0.0544568i
\(619\) 12.7021 + 6.26398i 0.510540 + 0.251771i 0.679266 0.733893i \(-0.262298\pi\)
−0.168725 + 0.985663i \(0.553965\pi\)
\(620\) 11.6415 23.2124i 0.467533 0.932233i
\(621\) −8.42101 6.40381i −0.337923 0.256976i
\(622\) −0.0445674 0.168589i −0.00178699 0.00675982i
\(623\) −37.1836 9.96333i −1.48973 0.399172i
\(624\) 18.7673 0.184605i 0.751295 0.00739012i
\(625\) 9.60781 2.57440i 0.384312 0.102976i
\(626\) −18.8425 32.8907i −0.753100 1.31458i
\(627\) −66.9000 + 5.95049i −2.67173 + 0.237640i
\(628\) −17.1631 5.95487i −0.684881 0.237625i
\(629\) 19.0929 + 28.5745i 0.761282 + 1.13934i
\(630\) −15.2050 + 8.33255i −0.605781 + 0.331977i
\(631\) 11.9968 + 28.9628i 0.477584 + 1.15299i 0.960739 + 0.277454i \(0.0894907\pi\)
−0.483155 + 0.875535i \(0.660509\pi\)
\(632\) −25.2764 + 32.2630i −1.00544 + 1.28335i
\(633\) −25.1777 + 0.585807i −1.00072 + 0.0232838i
\(634\) −5.81136 + 1.95096i −0.230799 + 0.0774825i
\(635\) −15.3438 + 17.4963i −0.608901 + 0.694319i
\(636\) 14.7708 2.19386i 0.585700 0.0869924i
\(637\) 0.214365 3.27058i 0.00849345 0.129585i
\(638\) −68.0985 9.19799i −2.69605 0.364152i
\(639\) −2.72052 8.54215i −0.107622 0.337922i
\(640\) 8.09128 + 17.4282i 0.319836 + 0.688909i
\(641\) 17.3557 + 30.0610i 0.685509 + 1.18734i 0.973276 + 0.229637i \(0.0737538\pi\)
−0.287767 + 0.957700i \(0.592913\pi\)
\(642\) 0.641970 + 0.158390i 0.0253365 + 0.00625114i
\(643\) −30.8145 + 15.1960i −1.21521 + 0.599274i −0.932929 0.360059i \(-0.882756\pi\)
−0.282277 + 0.959333i \(0.591090\pi\)
\(644\) −6.88175 6.97477i −0.271179 0.274845i
\(645\) −12.8847 + 11.8410i −0.507336 + 0.466240i
\(646\) 6.70158 33.1099i 0.263670 1.30269i
\(647\) −7.13500 + 17.2254i −0.280506 + 0.677201i −0.999848 0.0174554i \(-0.994443\pi\)
0.719342 + 0.694656i \(0.244443\pi\)
\(648\) 13.7693 21.4104i 0.540909 0.841081i
\(649\) −20.9482 50.5735i −0.822289 1.98518i
\(650\) 1.55447 + 7.95430i 0.0609714 + 0.311993i
\(651\) −31.8342 1.34379i −1.24768 0.0526673i
\(652\) −4.69614 24.4664i −0.183915 0.958178i
\(653\) −2.48240 + 7.31290i −0.0971437 + 0.286176i −0.984629 0.174660i \(-0.944117\pi\)
0.887485 + 0.460837i \(0.152451\pi\)
\(654\) −0.559650 + 0.760216i −0.0218840 + 0.0297268i
\(655\) 2.40253 8.96638i 0.0938747 0.350345i
\(656\) −16.3741 2.37976i −0.639300 0.0929139i
\(657\) −25.9794 13.4287i −1.01355 0.523902i
\(658\) −3.96692 15.0061i −0.154647 0.584997i
\(659\) −23.5232 + 20.6293i −0.916334 + 0.803603i −0.980941 0.194308i \(-0.937754\pi\)
0.0646070 + 0.997911i \(0.479421\pi\)
\(660\) 37.3163 + 1.82624i 1.45253 + 0.0710862i
\(661\) −0.196698 3.00104i −0.00765067 0.116727i 0.992325 0.123655i \(-0.0394615\pi\)
−0.999976 + 0.00692779i \(0.997795\pi\)
\(662\) −42.2413 2.91107i −1.64175 0.113142i
\(663\) 13.2770 + 12.6732i 0.515637 + 0.492188i
\(664\) 8.30401 2.72589i 0.322258 0.105785i
\(665\) 23.0553 + 9.54982i 0.894046 + 0.370326i
\(666\) 23.3432 29.0574i 0.904531 1.12595i
\(667\) −3.03924 + 15.2793i −0.117680 + 0.591616i
\(668\) 1.91320 13.8149i 0.0740240 0.534515i
\(669\) 21.6658 25.8963i 0.837649 1.00121i
\(670\) 29.9364 3.83902i 1.15654 0.148314i
\(671\) 57.0114 + 32.9155i 2.20090 + 1.27069i
\(672\) 15.4299 17.8261i 0.595219 0.687655i
\(673\) −8.28086 + 4.78095i −0.319204 + 0.184292i −0.651038 0.759046i \(-0.725666\pi\)
0.331834 + 0.943338i \(0.392333\pi\)
\(674\) −1.51714 + 1.15607i −0.0584381 + 0.0445303i
\(675\) 10.1741 + 4.16262i 0.391601 + 0.160219i
\(676\) −11.2358 + 1.40255i −0.432147 + 0.0539444i
\(677\) 13.2927 4.51228i 0.510882 0.173421i −0.0540824 0.998536i \(-0.517223\pi\)
0.564964 + 0.825116i \(0.308890\pi\)
\(678\) 6.92675 + 4.43146i 0.266020 + 0.170189i
\(679\) 16.2495 12.4687i 0.623598 0.478504i
\(680\) −6.21914 + 17.7323i −0.238493 + 0.680004i
\(681\) 3.85325 1.12917i 0.147657 0.0432699i
\(682\) 56.9583 + 38.3355i 2.18105 + 1.46794i
\(683\) 17.9150 11.9704i 0.685499 0.458036i −0.163422 0.986556i \(-0.552253\pi\)
0.848920 + 0.528521i \(0.177253\pi\)
\(684\) −36.4353 + 3.84948i −1.39314 + 0.147188i
\(685\) 4.37020 + 21.9705i 0.166977 + 0.839448i
\(686\) −19.6888 19.8214i −0.751720 0.756784i
\(687\) 5.14893 + 1.99374i 0.196444 + 0.0760660i
\(688\) 10.8099 21.1980i 0.412124 0.808167i
\(689\) 11.2797 3.02240i 0.429724 0.115144i
\(690\) 0.938187 8.41788i 0.0357162 0.320463i
\(691\) −4.54733 5.18524i −0.172989 0.197256i 0.658848 0.752276i \(-0.271044\pi\)
−0.831837 + 0.555020i \(0.812711\pi\)
\(692\) −2.28745 + 31.6433i −0.0869559 + 1.20290i
\(693\) −16.7382 42.6765i −0.635833 1.62115i
\(694\) 4.35077 12.6770i 0.165153 0.481212i
\(695\) 1.90461 2.48213i 0.0722458 0.0941526i
\(696\) −37.2257 4.40207i −1.41104 0.166860i
\(697\) −9.85061 12.8376i −0.373119 0.486258i
\(698\) −3.20818 9.55625i −0.121431 0.361709i
\(699\) −6.93105 + 6.36960i −0.262157 + 0.240921i
\(700\) 8.78273 + 5.14963i 0.331956 + 0.194638i
\(701\) −36.6093 24.4615i −1.38271 0.923899i −1.00000 3.17479e-5i \(-0.999990\pi\)
−0.382713 0.923867i \(-0.625010\pi\)
\(702\) 8.78700 17.8625i 0.331644 0.674175i
\(703\) −53.6454 −2.02328
\(704\) −48.4256 + 15.3578i −1.82511 + 0.578820i
\(705\) 7.91820 10.8319i 0.298217 0.407952i
\(706\) −9.31262 7.19562i −0.350485 0.270811i
\(707\) 6.10781 3.01204i 0.229708 0.113279i
\(708\) −11.8822 27.3950i −0.446562 1.02957i
\(709\) −3.85116 11.3452i −0.144633 0.426076i 0.850338 0.526237i \(-0.176398\pi\)
−0.994971 + 0.100161i \(0.968064\pi\)
\(710\) 4.75052 5.38039i 0.178284 0.201922i
\(711\) 18.4857 + 39.3453i 0.693269 + 1.47556i
\(712\) 31.6722 + 32.3166i 1.18696 + 1.21111i
\(713\) 9.47547 12.3487i 0.354859 0.462462i
\(714\) 22.9728 1.96564i 0.859737 0.0735624i
\(715\) 29.1541 1.91086i 1.09030 0.0714622i
\(716\) 4.44744 6.56029i 0.166209 0.245170i
\(717\) −2.70466 3.85079i −0.101007 0.143810i
\(718\) −0.167243 + 49.8245i −0.00624146 + 1.85943i
\(719\) 6.91132 + 6.91132i 0.257749 + 0.257749i 0.824138 0.566389i \(-0.191660\pi\)
−0.566389 + 0.824138i \(0.691660\pi\)
\(720\) 20.3698 + 0.659210i 0.759136 + 0.0245673i
\(721\) −5.35733 + 5.35733i −0.199518 + 0.199518i
\(722\) 18.2259 + 18.3487i 0.678298 + 0.682867i
\(723\) −3.05328 34.3273i −0.113553 1.27665i
\(724\) 19.5079 + 4.01669i 0.725005 + 0.149279i
\(725\) −1.05870 16.1527i −0.0393192 0.599895i
\(726\) −12.6092 + 70.7198i −0.467970 + 2.62466i
\(727\) −7.75852 5.95332i −0.287747 0.220796i 0.454794 0.890597i \(-0.349713\pi\)
−0.742541 + 0.669800i \(0.766380\pi\)
\(728\) 10.3969 15.2259i 0.385335 0.564310i
\(729\) −13.7024 23.2647i −0.507495 0.861654i
\(730\) −1.45291 23.3688i −0.0537746 0.864918i
\(731\) 22.0357 7.48011i 0.815020 0.276662i
\(732\) 31.3926 + 17.4383i 1.16030 + 0.644539i
\(733\) −9.81886 19.9107i −0.362668 0.735418i 0.636695 0.771116i \(-0.280301\pi\)
−0.999363 + 0.0356982i \(0.988634\pi\)
\(734\) −1.42698 11.1275i −0.0526708 0.410723i
\(735\) 0.382355 3.53854i 0.0141034 0.130521i
\(736\) 2.79378 + 11.1733i 0.102980 + 0.411854i
\(737\) 79.7976i 2.93938i
\(738\) −10.0728 + 14.3713i −0.370786 + 0.529014i
\(739\) 11.2095 16.7762i 0.412348 0.617122i −0.565922 0.824459i \(-0.691480\pi\)
0.978270 + 0.207337i \(0.0664796\pi\)
\(740\) 29.5589 + 4.09356i 1.08661 + 0.150482i
\(741\) −27.9632 + 6.24173i −1.02725 + 0.229296i
\(742\) 6.53219 13.1346i 0.239804 0.482188i
\(743\) 11.7628 9.02588i 0.431534 0.331127i −0.370048 0.929013i \(-0.620659\pi\)
0.801582 + 0.597885i \(0.203992\pi\)
\(744\) 31.4126 + 20.3950i 1.15164 + 0.747716i
\(745\) −12.3237 9.45631i −0.451505 0.346452i
\(746\) −5.08182 10.3927i −0.186059 0.380504i
\(747\) 1.38370 9.16629i 0.0506269 0.335377i
\(748\) −44.4106 22.2728i −1.62381 0.814373i
\(749\) 0.488359 0.428279i 0.0178442 0.0156490i
\(750\) 4.44720 + 29.2657i 0.162389 + 1.06863i
\(751\) −11.2896 42.1332i −0.411962 1.53746i −0.790845 0.612017i \(-0.790358\pi\)
0.378883 0.925445i \(-0.376308\pi\)
\(752\) −4.95826 + 17.5580i −0.180809 + 0.640276i
\(753\) 47.0500 7.31136i 1.71460 0.266441i
\(754\) −29.3136 0.0983954i −1.06754 0.00358335i
\(755\) −4.30584 + 0.856484i −0.156705 + 0.0311706i
\(756\) −9.51472 23.1257i −0.346047 0.841075i
\(757\) 6.31273 + 9.44766i 0.229440 + 0.343381i 0.928270 0.371906i \(-0.121296\pi\)
−0.698830 + 0.715287i \(0.746296\pi\)
\(758\) 0.596325 + 3.05142i 0.0216595 + 0.110833i
\(759\) 21.7599 + 5.29128i 0.789836 + 0.192061i
\(760\) −17.6216 23.4501i −0.639203 0.850626i
\(761\) −3.47107 4.52358i −0.125826 0.163980i 0.726192 0.687492i \(-0.241288\pi\)
−0.852018 + 0.523512i \(0.824622\pi\)
\(762\) −22.6277 24.7887i −0.819715 0.898000i
\(763\) 0.298084 + 0.878127i 0.0107914 + 0.0317903i
\(764\) −42.3873 11.6632i −1.53352 0.421959i
\(765\) 13.8243 + 14.3577i 0.499817 + 0.519102i
\(766\) 35.6902 + 4.82063i 1.28954 + 0.174176i
\(767\) −11.6758 20.2230i −0.421587 0.730211i
\(768\) −26.2739 + 8.81372i −0.948078 + 0.318038i
\(769\) −15.5452 + 26.9250i −0.560573 + 0.970940i 0.436874 + 0.899523i \(0.356086\pi\)
−0.997446 + 0.0714176i \(0.977248\pi\)
\(770\) 22.4401 29.0422i 0.808686 1.04661i
\(771\) 0.599174 3.42706i 0.0215787 0.123422i
\(772\) −5.29474 20.3045i −0.190562 0.730776i
\(773\) 38.1642