Properties

Label 576.2.bm.a.205.37
Level $576$
Weight $2$
Character 576.205
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 205.37
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.37

$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.536807 + 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 0.445116 0.895473i \(-0.353162\pi\)
−0.945911 + 0.324425i \(0.894829\pi\)
\(6\) −1.65140 + 1.80911i −0.674180 + 0.738567i
\(7\) −2.38568 0.314080i −0.901700 0.118711i −0.334600 0.942360i \(-0.608601\pi\)
−0.567100 + 0.823649i \(0.691935\pi\)
\(8\) 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 −0.682568 0.730822i \(-0.739137\pi\)
−0.164279 0.986414i \(-0.552530\pi\)
\(12\) −1.48051 3.13179i −0.427386 0.904069i
\(13\) −0.870768 2.56520i −0.241508 0.711459i −0.998326 0.0578336i \(-0.981581\pi\)
0.756819 0.653625i \(-0.226753\pi\)
\(14\) 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 0.957917 0.287044i \(-0.0926725\pi\)
−0.287044 + 0.957917i \(0.592673\pi\)
\(18\) −3.76236 + 1.96078i −0.886796 + 0.462160i
\(19\) 1.19129 5.98901i 0.273300 1.37397i −0.563342 0.826224i \(-0.690485\pi\)
0.836643 0.547749i \(-0.184515\pi\)
\(20\) −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 0.996558 + 0.0828992i \(0.0264180\pi\)
−0.941145 + 0.338003i \(0.890249\pi\)
\(24\) 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 −0.754942 0.655792i \(-0.772335\pi\)
−0.662885 + 0.748721i \(0.730668\pi\)
\(30\) 4.15931 + 0.0828066i 0.759383 + 0.0151183i
\(31\) 6.62077 3.82250i 1.18912 0.686541i 0.231017 0.972950i \(-0.425795\pi\)
0.958108 + 0.286408i \(0.0924614\pi\)
\(32\) −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 −0.819339 0.573310i \(-0.805659\pi\)
0.537574 0.843217i \(-0.319341\pi\)
\(38\) 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 0.980461 + 0.196716i \(0.0630276\pi\)
−0.896138 + 0.443775i \(0.853639\pi\)
\(42\) 4.50791 3.79728i 0.695585 0.585933i
\(43\) 5.33531 2.63108i 0.813627 0.401236i 0.0126415 0.999920i \(-0.495976\pi\)
0.800986 + 0.598684i \(0.204309\pi\)
\(44\) −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 −0.565402 0.824816i \(-0.691279\pi\)
−0.0772444 + 0.997012i \(0.524612\pi\)
\(48\) −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 −0.958677 0.284496i \(-0.908174\pi\)
0.629710 + 0.776830i \(0.283174\pi\)
\(54\) −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 0.252352 0.967636i \(-0.418796\pi\)
−0.992296 + 0.123891i \(0.960463\pi\)
\(60\) −2.34109 + 5.39748i −0.302234 + 0.696811i
\(61\) 0.678007 + 10.3444i 0.0868099 + 1.32446i 0.789845 + 0.613307i \(0.210161\pi\)
−0.703035 + 0.711156i \(0.748172\pi\)
\(62\) 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 0.971910 0.235352i \(-0.0756244\pi\)
0.404944 + 0.914341i \(0.367291\pi\)
\(68\) −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 0.977097 0.212794i \(-0.0682563\pi\)
−0.841380 + 0.540444i \(0.818256\pi\)
\(72\) 8.11066 + 2.49342i 0.955851 + 0.293853i
\(73\) −3.73050 + 9.00622i −0.436622 + 1.05410i 0.540486 + 0.841353i \(0.318240\pi\)
−0.977108 + 0.212745i \(0.931760\pi\)
\(74\) 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 −0.770484 0.637459i \(-0.779985\pi\)
0.348529 0.937298i \(-0.386681\pi\)
\(80\) 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 0.777298 0.629132i \(-0.216590\pi\)
−0.522292 + 0.852767i \(0.674923\pi\)
\(84\) 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 0.580463 0.814287i \(-0.302872\pi\)
0.986237 + 0.165338i \(0.0528716\pi\)
\(90\) 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 0.0766702 0.997057i \(-0.475571\pi\)
−0.825141 + 0.564927i \(0.808904\pi\)
\(98\) 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 0.184904 0.982757i \(-0.440803\pi\)
−0.451570 + 0.892235i \(0.649136\pi\)
\(102\) −9.57206 + 0.436249i −0.947775 + 0.0431951i
\(103\) 2.49797 + 1.91676i 0.246133 + 0.188864i 0.724459 0.689318i \(-0.242090\pi\)
−0.478326 + 0.878182i \(0.658756\pi\)
\(104\) −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 0.544674 0.838648i \(-0.316653\pi\)
−0.566372 + 0.824150i \(0.691653\pi\)
\(108\) 2.66588 10.0446i 0.256524 0.966538i
\(109\) −0.0751852 + 0.377981i −0.00720143 + 0.0362040i −0.984219 0.176955i \(-0.943375\pi\)
0.977017 + 0.213159i \(0.0683753\pi\)
\(110\) −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 0.103051 0.994676i \(-0.467139\pi\)
−0.408093 + 0.912940i \(0.633806\pi\)
\(114\) 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 0.215352 0.976537i \(-0.430910\pi\)
−0.643641 + 0.765328i \(0.722577\pi\)
\(132\) −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 0.998435 0.0559325i \(-0.0178132\pi\)
−0.312440 + 0.949937i \(0.601146\pi\)
\(138\) −4.09069 2.85270i −0.348222 0.242838i
\(139\) −1.83821 0.120483i −0.155915 0.0102192i −0.0127543 0.999919i \(-0.504060\pi\)
−0.143161 + 0.989699i \(0.545727\pi\)
\(140\) 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 −0.900680 0.434482i \(-0.856931\pi\)
0.949686 0.313203i \(-0.101402\pi\)
\(150\) 3.33851 + 3.96328i 0.272588 + 0.323600i
\(151\) 2.05078 1.57362i 0.166890 0.128059i −0.521940 0.852982i \(-0.674791\pi\)
0.688830 + 0.724923i \(0.258125\pi\)
\(152\) −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 −0.675568 0.737298i \(-0.736101\pi\)
0.996197 + 0.0871256i \(0.0277681\pi\)
\(158\) 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 0.454794 0.890597i \(-0.349713\pi\)
−0.996846 + 0.0793580i \(0.974713\pi\)
\(164\) 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 0.372132 0.928180i \(-0.378627\pi\)
−0.800238 + 0.599682i \(0.795294\pi\)
\(168\) −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 0.979351 0.202165i \(-0.0647978\pi\)
−0.0726046 + 0.997361i \(0.523131\pi\)
\(174\) 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 0.0476855 0.998862i \(-0.484815\pi\)
−0.338192 + 0.941077i \(0.609815\pi\)
\(180\) −7.01848 + 7.38791i −0.523127 + 0.550662i
\(181\) −5.53267 + 8.28023i −0.411240 + 0.615465i −0.978047 0.208386i \(-0.933179\pi\)
0.566806 + 0.823851i \(0.308179\pi\)
\(182\) −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 −0.127420 0.991849i \(-0.540670\pi\)
0.922676 0.385575i \(-0.125997\pi\)
\(192\) 12.4465 6.08969i 0.898250 0.439486i
\(193\) −5.24588 9.08613i −0.377607 0.654034i 0.613107 0.790000i \(-0.289920\pi\)
−0.990713 + 0.135966i \(0.956586\pi\)
\(194\) 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 0.0762977 0.997085i \(-0.475690\pi\)
0.452058 + 0.891989i \(0.350690\pi\)
\(198\) 21.7347 + 15.9210i 1.54462 + 1.13146i
\(199\) −1.57763 3.80873i −0.111835 0.269994i 0.858046 0.513573i \(-0.171678\pi\)
−0.969881 + 0.243579i \(0.921678\pi\)
\(200\) −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 −0.752218 0.658914i \(-0.771016\pi\)
−0.195653 + 0.980673i \(0.562683\pi\)
\(212\) 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 0.944063 0.329764i \(-0.106969\pi\)
0.186448 + 0.982465i \(0.440303\pi\)
\(224\) 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 0.0115592 0.999933i \(-0.496321\pi\)
0.141978 + 0.989870i \(0.454654\pi\)
\(228\) −20.5200 + 5.13592i −1.35897 + 0.340135i
\(229\) 2.39673 2.10187i 0.158380 0.138896i −0.576488 0.817106i \(-0.695577\pi\)
0.734868 + 0.678210i \(0.237244\pi\)
\(230\) 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 0.212099 0.977248i \(-0.431970\pi\)
−0.541042 + 0.840995i \(0.681970\pi\)
\(234\) 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 −0.984932 0.172943i \(-0.944672\pi\)
0.939447 + 0.342693i \(0.111339\pi\)
\(240\) 10.9147 4.39575i 0.704542 0.283745i
\(241\) 5.14975 + 19.2191i 0.331725 + 1.23801i 0.907376 + 0.420319i \(0.138082\pi\)
−0.575652 + 0.817695i \(0.695252\pi\)
\(242\) −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 0.753903 0.656986i \(-0.228169\pi\)
0.947933 + 0.318469i \(0.103169\pi\)
\(252\) −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 0.895648 0.444764i \(-0.146712\pi\)
−0.833001 + 0.553272i \(0.813379\pi\)
\(258\) −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 0.543542 0.839382i \(-0.317083\pi\)
0.307773 + 0.951460i \(0.400416\pi\)
\(264\) −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 0.869384 0.494136i \(-0.164516\pi\)
0.614109 + 0.789221i \(0.289516\pi\)
\(270\) 9.37518 + 8.23811i 0.570555 + 0.501355i
\(271\) −0.822971 + 0.822971i −0.0499919 + 0.0499919i −0.731661 0.681669i \(-0.761254\pi\)
0.681669 + 0.731661i \(0.261254\pi\)
\(272\) −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 0.496056 0.868291i \(-0.334781\pi\)
0.990841 + 0.135035i \(0.0431145\pi\)
\(278\) 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 0.895654 + 0.444752i \(0.146708\pi\)
−0.980245 + 0.197785i \(0.936625\pi\)
\(282\) 5.13997 9.92002i 0.306081 0.590728i
\(283\) 16.3129 14.3060i 0.969699 0.850403i −0.0190758 0.999818i \(-0.506072\pi\)
0.988775 + 0.149415i \(0.0477391\pi\)
\(284\) 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 −0.708971 0.705238i \(-0.750840\pi\)
0.606665 + 0.794957i \(0.292507\pi\)
\(294\) 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 −0.445541 0.895262i \(-0.646988\pi\)
−0.754228 + 0.656613i \(0.771988\pi\)
\(308\) 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 −0.127059 0.991895i \(-0.540554\pi\)
0.133992 + 0.990982i \(0.457221\pi\)
\(312\) −4.91646 12.3269i −0.278340 0.697873i
\(313\) 26.5741 + 3.49854i 1.50205 + 0.197749i 0.836238 0.548366i \(-0.184750\pi\)
0.665816 + 0.746116i \(0.268083\pi\)
\(314\) 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 0.998400 + 0.0565513i \(0.0180105\pi\)
−0.982477 + 0.186385i \(0.940323\pi\)
\(318\) −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 0.873616 + 0.486617i \(0.161769\pi\)
−0.145764 + 0.989319i \(0.546564\pi\)
\(332\) −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 −0.974782 0.223161i \(-0.928363\pi\)
0.955766 + 0.294128i \(0.0950292\pi\)
\(338\) 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 −0.446401 0.894833i \(-0.647295\pi\)
0.828910 + 0.559381i \(0.188961\pi\)
\(348\) 12.8713 + 23.1710i 0.689974 + 1.24210i
\(349\) 7.11265 0.466188i 0.380731 0.0249545i 0.126164 0.992009i \(-0.459734\pi\)
0.254568 + 0.967055i \(0.418067\pi\)
\(350\) −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 0.679375 0.733791i \(-0.262251\pi\)
−0.295795 + 0.955252i \(0.595584\pi\)
\(354\) 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 −0.718022 + 0.696020i \(0.754952\pi\)
−0.999879 + 0.0155574i \(0.995048\pi\)
\(360\) −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 −0.0532225 0.998583i \(-0.516949\pi\)
0.453199 + 0.891409i \(0.350283\pi\)
\(368\) −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 0.275245 0.961374i \(-0.411241\pi\)
0.147406 + 0.989076i \(0.452908\pi\)
\(374\) 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 −0.250159 0.968205i \(-0.580483\pi\)
0.139399 + 0.990236i \(0.455483\pi\)
\(380\) 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 −0.982972 0.183757i \(-0.941174\pi\)
0.332348 0.943157i \(-0.392159\pi\)
\(384\) 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 0.223152 + 0.974784i \(0.428365\pi\)
−0.770449 + 0.637501i \(0.779968\pi\)
\(390\) −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 0.491619 0.870811i \(-0.336405\pi\)
0.120952 + 0.992658i \(0.461405\pi\)
\(398\) 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 −0.986009 0.166693i \(-0.946691\pi\)
0.937255 + 0.348644i \(0.113358\pi\)
\(402\) −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 0.733763 0.679406i \(-0.237762\pi\)
−0.466344 + 0.884603i \(0.654429\pi\)
\(410\) 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 −0.805127 0.593102i \(-0.797903\pi\)
0.960670 + 0.277693i \(0.0895697\pi\)
\(420\) 7.28032 12.1413i 0.355243 0.592436i
\(421\) −3.60686 1.22436i −0.175788 0.0596719i 0.232158 0.972678i \(-0.425421\pi\)
−0.407946 + 0.913006i \(0.633755\pi\)
\(422\) 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 0.999971 + 0.00762149i \(0.00242602\pi\)
0.00762149 + 0.999971i \(0.497574\pi\)
\(432\) −17.9048 + 10.5555i −0.861446 + 0.507850i
\(433\) −15.2605 + 15.2605i −0.733371 + 0.733371i −0.971286 0.237915i \(-0.923536\pi\)
0.237915 + 0.971286i \(0.423536\pi\)
\(434\) −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 0.722068 0.691822i \(-0.243192\pi\)
−0.855133 + 0.518408i \(0.826525\pi\)
\(440\) 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 −0.690544 0.723290i \(-0.742629\pi\)
0.988157 0.153448i \(-0.0490376\pi\)
\(444\) −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 0.448719 0.893673i \(-0.351881\pi\)
−0.979359 + 0.202129i \(0.935214\pi\)
\(458\) 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 −0.317419 0.948285i \(-0.602816\pi\)
0.981604 + 0.190928i \(0.0611496\pi\)
\(462\) −34.2884 15.0091i −1.59524 0.698288i
\(463\) 15.8353 + 4.24307i 0.735931 + 0.197192i 0.607269 0.794496i \(-0.292265\pi\)
0.128662 + 0.991688i \(0.458932\pi\)
\(464\) −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 −0.921005 0.389552i \(-0.872630\pi\)
0.999972 0.00744551i \(-0.00237000\pi\)
\(468\) −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 −0.213228 0.977003i \(-0.568398\pi\)
−0.952723 + 0.303841i \(0.901731\pi\)
\(480\) −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 −0.00422324 0.999991i \(-0.501344\pi\)
0.704114 + 0.710087i \(0.251344\pi\)
\(488\) 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 0.859582 + 0.510998i \(0.170724\pi\)
−0.918927 + 0.394428i \(0.870943\pi\)
\(492\) 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 0.999851 + 0.0172650i \(0.00549590\pi\)
−0.782725 + 0.622368i \(0.786171\pi\)
\(500\) 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 −0.999700 0.0245061i \(-0.992199\pi\)
0.724223 + 0.689566i \(0.242199\pi\)
\(504\) −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 0.457303 0.889311i \(-0.348815\pi\)
−0.427149 + 0.904181i \(0.640482\pi\)
\(510\) 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 −0.482717 0.875776i \(-0.660350\pi\)
0.960600 0.277935i \(-0.0896500\pi\)
\(522\) 27.7452 16.8538i 1.21438 0.737673i
\(523\) 1.39500 2.08777i 0.0609992 0.0912918i −0.799716 0.600378i \(-0.795017\pi\)
0.860715 + 0.509087i \(0.170017\pi\)
\(524\) 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 0.425062 0.905164i \(-0.360252\pi\)
−0.998927 + 0.0463152i \(0.985252\pi\)
\(542\) −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 −0.691765 0.722123i \(-0.743166\pi\)
−0.591591 + 0.806239i \(0.701500\pi\)
\(548\) 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 0.817076 + 0.576529i \(0.195593\pi\)
−0.975508 + 0.219962i \(0.929407\pi\)
\(558\) −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 0.891168 0.453674i \(-0.149887\pi\)
−0.983190 + 0.182585i \(0.941554\pi\)
\(564\) 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 0.0887799 0.996051i \(-0.471703\pi\)
−0.172042 + 0.985090i \(0.555037\pi\)
\(570\) 5.45087 24.8115i 0.228312 1.03924i
\(571\) 11.5797 + 13.2041i 0.484596 + 0.552576i 0.941532 0.336923i \(-0.109386\pi\)
−0.456936 + 0.889500i \(0.651053\pi\)
\(572\) 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 −0.956494 0.291753i \(-0.905762\pi\)
0.350814 0.936445i \(-0.385905\pi\)
\(588\) 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 0.373972 0.927440i \(-0.377996\pi\)
−0.927440 + 0.373972i \(0.877996\pi\)
\(594\) 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 −0.960592 0.277961i \(-0.910341\pi\)
0.855919 0.517109i \(-0.172992\pi\)
\(600\) 0.814214 10.3320i 0.0332402 0.421802i
\(601\) 0.484459 3.67983i 0.0197615 0.150103i −0.978719 0.205203i \(-0.934214\pi\)
0.998481 + 0.0551000i \(0.0175478\pi\)
\(602\) 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 −0.694084 0.719894i \(-0.744190\pi\)
0.276404 + 0.961041i \(0.410857\pi\)
\(608\) −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 −0.897162 0.441701i \(-0.854375\pi\)
0.659838 0.751408i \(-0.270625\pi\)
\(614\) 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 −0.995004 0.0998306i \(-0.968170\pi\)
0.935262 0.353955i \(-0.115163\pi\)
\(618\) −7.59278 + 1.35377i −0.305426 + 0.0544568i
\(619\) 12.7021 6.26398i 0.510540 0.251771i −0.168725 0.985663i \(-0.553965\pi\)
0.679266 + 0.733893i \(0.262298\pi\)
\(620\) 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 −0.483155 0.875535i \(-0.660509\pi\)
0.960739 0.277454i \(-0.0894907\pi\)
\(632\) −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 −0.287767 0.957700i \(-0.592913\pi\)
0.973276 0.229637i \(-0.0737538\pi\)
\(642\) 0.641970 0.158390i 0.0253365 0.00625114i
\(643\) −30.8145 15.1960i −1.21521 0.599274i −0.282277 0.959333i \(-0.591090\pi\)
−0.932929 + 0.360059i \(0.882756\pi\)
\(644\) −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 0.719342 0.694656i \(-0.244443\pi\)
−0.999848 + 0.0174554i \(0.994443\pi\)
\(648\) 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 0.887485 0.460837i \(-0.152451\pi\)
−0.984629 + 0.174660i \(0.944117\pi\)
\(654\) −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 0.0646070 0.997911i \(-0.479421\pi\)
−0.980941 + 0.194308i \(0.937754\pi\)
\(660\) 37.3163 1.82624i 1.45253 0.0710862i
\(661\) −0.196698 + 3.00104i −0.00765067 + 0.116727i −0.999976 0.00692779i \(-0.997795\pi\)
0.992325 + 0.123655i \(0.0394615\pi\)
\(662\) −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 0.331834 0.943338i \(-0.392333\pi\)
−0.651038 + 0.759046i \(0.725666\pi\)
\(674\) −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 0.564964 0.825116i \(-0.308890\pi\)
−0.0540824 + 0.998536i \(0.517223\pi\)
\(678\) 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 0.848920 0.528521i \(-0.177253\pi\)
−0.163422 + 0.986556i \(0.552253\pi\)
\(684\) −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 −0.831837 0.555020i \(-0.812711\pi\)
0.658848 + 0.752276i \(0.271044\pi\)
\(692\) −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 −0.382713 + 0.923867i \(0.625010\pi\)
−1.00000 3.17479e-5i \(0.999990\pi\)
\(702\) 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 −0.994971 0.100161i \(-0.968064\pi\)
0.850338 + 0.526237i \(0.176398\pi\)
\(710\) 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 −0.566389 0.824138i \(-0.691660\pi\)
0.824138 + 0.566389i \(0.191660\pi\)
\(720\) 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 −0.742541 0.669800i \(-0.766380\pi\)
0.454794 + 0.890597i \(0.349713\pi\)
\(728\) 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 −0.999363 0.0356982i \(-0.988634\pi\)
0.636695 + 0.771116i \(0.280301\pi\)
\(734\) −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 0.978270 0.207337i \(-0.0664796\pi\)
−0.565922 + 0.824459i \(0.691480\pi\)
\(740\) 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 0.801582 0.597885i \(-0.203992\pi\)
−0.370048 + 0.929013i \(0.620659\pi\)
\(744\) 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 0.378883 + 0.925445i \(0.376308\pi\)
−0.790845 + 0.612017i \(0.790358\pi\)
\(752\) −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 −0.698830 0.715287i \(-0.746296\pi\)
0.928270 + 0.371906i \(0.121296\pi\)
\(758\) 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 −0.852018 0.523512i \(-0.824622\pi\)
0.726192 + 0.687492i \(0.241288\pi\)
\(762\) −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 −0.997446 0.0714176i \(-0.977248\pi\)
0.436874 0.899523i \(-0.356086\pi\)
\(770\) 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