Properties

Label 192.2.s.a.179.16
Level $192$
Weight $2$
Character 192.179
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 179.16
Character \(\chi\) \(=\) 192.179
Dual form 192.2.s.a.59.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.246732 + 1.39252i) q^{2} +(-1.19490 - 1.25388i) q^{3} +(-1.87825 + 0.687161i) q^{4} +(0.359364 + 1.80664i) q^{5} +(1.45124 - 1.97330i) q^{6} +(-3.05294 + 1.26457i) q^{7} +(-1.42031 - 2.44596i) q^{8} +(-0.144430 + 2.99652i) q^{9} +O(q^{10})\) \(q+(0.246732 + 1.39252i) q^{2} +(-1.19490 - 1.25388i) q^{3} +(-1.87825 + 0.687161i) q^{4} +(0.359364 + 1.80664i) q^{5} +(1.45124 - 1.97330i) q^{6} +(-3.05294 + 1.26457i) q^{7} +(-1.42031 - 2.44596i) q^{8} +(-0.144430 + 2.99652i) q^{9} +(-2.42713 + 0.946180i) q^{10} +(-2.05692 + 3.07840i) q^{11} +(3.10593 + 1.53401i) q^{12} +(0.534830 + 0.106384i) q^{13} +(-2.51420 - 3.93929i) q^{14} +(1.83591 - 2.60936i) q^{15} +(3.05562 - 2.58132i) q^{16} +(-0.827691 + 0.827691i) q^{17} +(-4.20836 + 0.538216i) q^{18} +(-6.44815 - 1.28262i) q^{19} +(-1.91643 - 3.14638i) q^{20} +(5.23358 + 2.31699i) q^{21} +(-4.79426 - 2.10477i) q^{22} +(7.47552 + 3.09646i) q^{23} +(-1.36981 + 4.70358i) q^{24} +(1.48458 - 0.614932i) q^{25} +(-0.0161829 + 0.771012i) q^{26} +(3.92986 - 3.39944i) q^{27} +(4.86522 - 4.47304i) q^{28} +(-0.420063 + 0.280677i) q^{29} +(4.08657 + 1.91274i) q^{30} +2.79490 q^{31} +(4.34846 + 3.61813i) q^{32} +(6.31776 - 1.09925i) q^{33} +(-1.35680 - 0.948362i) q^{34} +(-3.38175 - 5.06114i) q^{35} +(-1.78782 - 5.72745i) q^{36} +(-0.213702 - 1.07435i) q^{37} +(0.195109 - 9.29567i) q^{38} +(-0.505675 - 0.797731i) q^{39} +(3.90857 - 3.44499i) q^{40} +(-3.82720 + 9.23967i) q^{41} +(-1.93517 + 7.85956i) q^{42} +(3.05140 - 4.56674i) q^{43} +(1.74805 - 7.19543i) q^{44} +(-5.46555 + 0.815908i) q^{45} +(-2.46745 + 11.1738i) q^{46} +(7.47207 + 7.47207i) q^{47} +(-6.88782 - 0.746967i) q^{48} +(2.77158 - 2.77158i) q^{49} +(1.22260 + 1.91559i) q^{50} +(2.02683 + 0.0488175i) q^{51} +(-1.07765 + 0.167698i) q^{52} +(-2.02433 - 1.35261i) q^{53} +(5.70343 + 4.63367i) q^{54} +(-6.30076 - 2.60986i) q^{55} +(7.42922 + 5.67129i) q^{56} +(6.09665 + 9.61781i) q^{57} +(-0.494492 - 0.515695i) q^{58} +(-10.5918 + 2.10685i) q^{59} +(-1.65524 + 6.16258i) q^{60} +(0.153998 - 0.102898i) q^{61} +(0.689591 + 3.89196i) q^{62} +(-3.34838 - 9.33085i) q^{63} +(-3.96543 + 6.94805i) q^{64} +1.00448i q^{65} +(3.08952 + 8.52642i) q^{66} +(1.39419 + 2.08655i) q^{67} +(0.985851 - 2.12337i) q^{68} +(-5.04991 - 13.0734i) q^{69} +(6.21338 - 5.95791i) q^{70} +(-5.26483 - 12.7104i) q^{71} +(7.53450 - 3.90273i) q^{72} +(-3.57907 + 8.64064i) q^{73} +(1.44333 - 0.562662i) q^{74} +(-2.54497 - 1.12670i) q^{75} +(12.9926 - 2.02185i) q^{76} +(2.38681 - 11.9993i) q^{77} +(0.986094 - 0.900991i) q^{78} +(9.99933 + 9.99933i) q^{79} +(5.76160 + 4.59279i) q^{80} +(-8.95828 - 0.865574i) q^{81} +(-13.8108 - 3.04974i) q^{82} +(-1.76923 + 8.89454i) q^{83} +(-11.4221 - 0.755565i) q^{84} +(-1.79279 - 1.19790i) q^{85} +(7.11217 + 3.12238i) q^{86} +(0.853868 + 0.191327i) q^{87} +(10.4511 + 0.658856i) q^{88} +(-4.17398 - 10.0769i) q^{89} +(-2.48470 - 7.40960i) q^{90} +(-1.76734 + 0.351545i) q^{91} +(-16.1686 - 0.679033i) q^{92} +(-3.33962 - 3.50447i) q^{93} +(-8.56143 + 12.2486i) q^{94} -12.1104i q^{95} +(-0.659276 - 9.77575i) q^{96} -15.1389i q^{97} +(4.54333 + 3.17565i) q^{98} +(-8.92742 - 6.60822i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.246732 + 1.39252i 0.174466 + 0.984663i
\(3\) −1.19490 1.25388i −0.689876 0.723928i
\(4\) −1.87825 + 0.687161i −0.939123 + 0.343580i
\(5\) 0.359364 + 1.80664i 0.160712 + 0.807956i 0.974080 + 0.226205i \(0.0726320\pi\)
−0.813367 + 0.581751i \(0.802368\pi\)
\(6\) 1.45124 1.97330i 0.592465 0.805596i
\(7\) −3.05294 + 1.26457i −1.15390 + 0.477963i −0.875841 0.482600i \(-0.839693\pi\)
−0.278063 + 0.960563i \(0.589693\pi\)
\(8\) −1.42031 2.44596i −0.502156 0.864777i
\(9\) −0.144430 + 2.99652i −0.0481433 + 0.998840i
\(10\) −2.42713 + 0.946180i −0.767525 + 0.299208i
\(11\) −2.05692 + 3.07840i −0.620185 + 0.928173i 0.379810 + 0.925065i \(0.375989\pi\)
−0.999995 + 0.00310847i \(0.999011\pi\)
\(12\) 3.10593 + 1.53401i 0.896606 + 0.442830i
\(13\) 0.534830 + 0.106384i 0.148335 + 0.0295057i 0.268699 0.963224i \(-0.413406\pi\)
−0.120364 + 0.992730i \(0.538406\pi\)
\(14\) −2.51420 3.93929i −0.671949 1.05282i
\(15\) 1.83591 2.60936i 0.474030 0.673733i
\(16\) 3.05562 2.58132i 0.763905 0.645329i
\(17\) −0.827691 + 0.827691i −0.200745 + 0.200745i −0.800319 0.599574i \(-0.795337\pi\)
0.599574 + 0.800319i \(0.295337\pi\)
\(18\) −4.20836 + 0.538216i −0.991921 + 0.126859i
\(19\) −6.44815 1.28262i −1.47931 0.294253i −0.611536 0.791216i \(-0.709448\pi\)
−0.867771 + 0.496964i \(0.834448\pi\)
\(20\) −1.91643 3.14638i −0.428527 0.703552i
\(21\) 5.23358 + 2.31699i 1.14206 + 0.505609i
\(22\) −4.79426 2.10477i −1.02214 0.448739i
\(23\) 7.47552 + 3.09646i 1.55875 + 0.645657i 0.984872 0.173281i \(-0.0554368\pi\)
0.573882 + 0.818938i \(0.305437\pi\)
\(24\) −1.36981 + 4.70358i −0.279611 + 0.960113i
\(25\) 1.48458 0.614932i 0.296916 0.122986i
\(26\) −0.0161829 + 0.771012i −0.00317373 + 0.151208i
\(27\) 3.92986 3.39944i 0.756301 0.654223i
\(28\) 4.86522 4.47304i 0.919440 0.845325i
\(29\) −0.420063 + 0.280677i −0.0780037 + 0.0521204i −0.593961 0.804494i \(-0.702436\pi\)
0.515957 + 0.856615i \(0.327436\pi\)
\(30\) 4.08657 + 1.91274i 0.746102 + 0.349217i
\(31\) 2.79490 0.501978 0.250989 0.967990i \(-0.419244\pi\)
0.250989 + 0.967990i \(0.419244\pi\)
\(32\) 4.34846 + 3.61813i 0.768707 + 0.639601i
\(33\) 6.31776 1.09925i 1.09978 0.191354i
\(34\) −1.35680 0.948362i −0.232689 0.162643i
\(35\) −3.38175 5.06114i −0.571619 0.855489i
\(36\) −1.78782 5.72745i −0.297970 0.954575i
\(37\) −0.213702 1.07435i −0.0351323 0.176622i 0.959235 0.282609i \(-0.0911999\pi\)
−0.994368 + 0.105987i \(0.966200\pi\)
\(38\) 0.195109 9.29567i 0.0316508 1.50796i
\(39\) −0.505675 0.797731i −0.0809728 0.127739i
\(40\) 3.90857 3.44499i 0.617999 0.544700i
\(41\) −3.82720 + 9.23967i −0.597708 + 1.44299i 0.278204 + 0.960522i \(0.410261\pi\)
−0.875911 + 0.482472i \(0.839739\pi\)
\(42\) −1.93517 + 7.85956i −0.298603 + 1.21276i
\(43\) 3.05140 4.56674i 0.465334 0.696421i −0.522377 0.852715i \(-0.674955\pi\)
0.987711 + 0.156293i \(0.0499546\pi\)
\(44\) 1.74805 7.19543i 0.263528 1.08475i
\(45\) −5.46555 + 0.815908i −0.814756 + 0.121628i
\(46\) −2.46745 + 11.1738i −0.363805 + 1.64749i
\(47\) 7.47207 + 7.47207i 1.08991 + 1.08991i 0.995537 + 0.0943761i \(0.0300856\pi\)
0.0943761 + 0.995537i \(0.469914\pi\)
\(48\) −6.88782 0.746967i −0.994171 0.107815i
\(49\) 2.77158 2.77158i 0.395940 0.395940i
\(50\) 1.22260 + 1.91559i 0.172902 + 0.270905i
\(51\) 2.02683 + 0.0488175i 0.283813 + 0.00683582i
\(52\) −1.07765 + 0.167698i −0.149443 + 0.0232556i
\(53\) −2.02433 1.35261i −0.278063 0.185796i 0.408717 0.912661i \(-0.365976\pi\)
−0.686780 + 0.726866i \(0.740976\pi\)
\(54\) 5.70343 + 4.63367i 0.776139 + 0.630562i
\(55\) −6.30076 2.60986i −0.849594 0.351913i
\(56\) 7.42922 + 5.67129i 0.992771 + 0.757858i
\(57\) 6.09665 + 9.61781i 0.807520 + 1.27391i
\(58\) −0.494492 0.515695i −0.0649300 0.0677141i
\(59\) −10.5918 + 2.10685i −1.37894 + 0.274288i −0.828220 0.560403i \(-0.810646\pi\)
−0.550719 + 0.834691i \(0.685646\pi\)
\(60\) −1.65524 + 6.16258i −0.213691 + 0.795586i
\(61\) 0.153998 0.102898i 0.0197175 0.0131748i −0.545672 0.837999i \(-0.683726\pi\)
0.565390 + 0.824824i \(0.308726\pi\)
\(62\) 0.689591 + 3.89196i 0.0875782 + 0.494280i
\(63\) −3.34838 9.33085i −0.421856 1.17558i
\(64\) −3.96543 + 6.94805i −0.495678 + 0.868506i
\(65\) 1.00448i 0.124590i
\(66\) 3.08952 + 8.52642i 0.380294 + 1.04953i
\(67\) 1.39419 + 2.08655i 0.170327 + 0.254913i 0.906806 0.421548i \(-0.138513\pi\)
−0.736479 + 0.676460i \(0.763513\pi\)
\(68\) 0.985851 2.12337i 0.119552 0.257496i
\(69\) −5.04991 13.0734i −0.607937 1.57385i
\(70\) 6.21338 5.95791i 0.742640 0.712106i
\(71\) −5.26483 12.7104i −0.624820 1.50845i −0.845981 0.533213i \(-0.820985\pi\)
0.221161 0.975237i \(-0.429015\pi\)
\(72\) 7.53450 3.90273i 0.887950 0.459941i
\(73\) −3.57907 + 8.64064i −0.418899 + 1.01131i 0.563769 + 0.825933i \(0.309351\pi\)
−0.982667 + 0.185378i \(0.940649\pi\)
\(74\) 1.44333 0.562662i 0.167784 0.0654081i
\(75\) −2.54497 1.12670i −0.293868 0.130100i
\(76\) 12.9926 2.02185i 1.49035 0.231922i
\(77\) 2.38681 11.9993i 0.272002 1.36745i
\(78\) 0.986094 0.900991i 0.111653 0.102017i
\(79\) 9.99933 + 9.99933i 1.12501 + 1.12501i 0.990976 + 0.134036i \(0.0427939\pi\)
0.134036 + 0.990976i \(0.457206\pi\)
\(80\) 5.76160 + 4.59279i 0.644166 + 0.513489i
\(81\) −8.95828 0.865574i −0.995364 0.0961749i
\(82\) −13.8108 3.04974i −1.52514 0.336787i
\(83\) −1.76923 + 8.89454i −0.194199 + 0.976302i 0.753576 + 0.657361i \(0.228327\pi\)
−0.947775 + 0.318941i \(0.896673\pi\)
\(84\) −11.4221 0.755565i −1.24625 0.0824389i
\(85\) −1.79279 1.19790i −0.194455 0.129931i
\(86\) 7.11217 + 3.12238i 0.766925 + 0.336695i
\(87\) 0.853868 + 0.191327i 0.0915442 + 0.0205124i
\(88\) 10.4511 + 0.658856i 1.11409 + 0.0702343i
\(89\) −4.17398 10.0769i −0.442441 1.06815i −0.975090 0.221810i \(-0.928803\pi\)
0.532649 0.846336i \(-0.321197\pi\)
\(90\) −2.48470 7.40960i −0.261910 0.781040i
\(91\) −1.76734 + 0.351545i −0.185267 + 0.0368519i
\(92\) −16.1686 0.679033i −1.68570 0.0707941i
\(93\) −3.33962 3.50447i −0.346303 0.363396i
\(94\) −8.56143 + 12.2486i −0.883044 + 1.26335i
\(95\) 12.1104i 1.24250i
\(96\) −0.659276 9.77575i −0.0672871 0.997734i
\(97\) 15.1389i 1.53712i −0.639777 0.768561i \(-0.720973\pi\)
0.639777 0.768561i \(-0.279027\pi\)
\(98\) 4.54333 + 3.17565i 0.458945 + 0.320789i
\(99\) −8.92742 6.60822i −0.897239 0.664152i
\(100\) −2.36585 + 2.17514i −0.236585 + 0.217514i
\(101\) 4.20479 0.836385i 0.418392 0.0832234i 0.0185952 0.999827i \(-0.494081\pi\)
0.399797 + 0.916604i \(0.369081\pi\)
\(102\) 0.432105 + 2.83446i 0.0427848 + 0.280653i
\(103\) −3.14426 7.59092i −0.309813 0.747956i −0.999711 0.0240486i \(-0.992344\pi\)
0.689897 0.723907i \(-0.257656\pi\)
\(104\) −0.499414 1.45927i −0.0489716 0.143093i
\(105\) −2.30522 + 10.2879i −0.224966 + 1.00399i
\(106\) 1.38408 3.15266i 0.134434 0.306213i
\(107\) 2.57078 + 1.71774i 0.248527 + 0.166060i 0.673594 0.739101i \(-0.264750\pi\)
−0.425067 + 0.905162i \(0.639750\pi\)
\(108\) −5.04527 + 9.08544i −0.485482 + 0.874247i
\(109\) −0.569133 + 2.86122i −0.0545130 + 0.274056i −0.998422 0.0561491i \(-0.982118\pi\)
0.943909 + 0.330205i \(0.107118\pi\)
\(110\) 2.07969 9.41790i 0.198291 0.897961i
\(111\) −1.09175 + 1.55170i −0.103625 + 0.147281i
\(112\) −6.06438 + 11.7447i −0.573030 + 1.10977i
\(113\) 5.94703 + 5.94703i 0.559449 + 0.559449i 0.929151 0.369701i \(-0.120540\pi\)
−0.369701 + 0.929151i \(0.620540\pi\)
\(114\) −11.8888 + 10.8627i −1.11349 + 1.01739i
\(115\) −2.90777 + 14.6184i −0.271151 + 1.36317i
\(116\) 0.596111 0.815831i 0.0553475 0.0757480i
\(117\) −0.396028 + 1.58726i −0.0366128 + 0.146743i
\(118\) −5.54718 14.2295i −0.510659 1.30994i
\(119\) 1.48022 3.57357i 0.135692 0.327589i
\(120\) −8.98995 0.784461i −0.820666 0.0716111i
\(121\) −1.03611 2.50139i −0.0941919 0.227399i
\(122\) 0.181285 + 0.189058i 0.0164128 + 0.0171165i
\(123\) 16.1586 6.24163i 1.45697 0.562789i
\(124\) −5.24951 + 1.92054i −0.471420 + 0.172470i
\(125\) 6.76137 + 10.1191i 0.604756 + 0.905081i
\(126\) 12.1673 6.96492i 1.08395 0.620484i
\(127\) 22.0807i 1.95935i 0.200602 + 0.979673i \(0.435710\pi\)
−0.200602 + 0.979673i \(0.564290\pi\)
\(128\) −10.6537 3.80765i −0.941665 0.336552i
\(129\) −9.37226 + 1.63071i −0.825181 + 0.143576i
\(130\) −1.39876 + 0.247837i −0.122679 + 0.0217367i
\(131\) −11.6039 + 7.75347i −1.01384 + 0.677423i −0.947296 0.320360i \(-0.896196\pi\)
−0.0665400 + 0.997784i \(0.521196\pi\)
\(132\) −11.1110 + 6.40598i −0.967084 + 0.557569i
\(133\) 21.3078 4.23839i 1.84762 0.367515i
\(134\) −2.56158 + 2.45626i −0.221287 + 0.212188i
\(135\) 7.55383 + 5.87822i 0.650131 + 0.505916i
\(136\) 3.20008 + 0.848919i 0.274404 + 0.0727942i
\(137\) 8.78236 + 3.63777i 0.750328 + 0.310796i 0.724875 0.688880i \(-0.241897\pi\)
0.0254526 + 0.999676i \(0.491897\pi\)
\(138\) 16.9590 10.2577i 1.44365 0.873197i
\(139\) 9.49037 + 6.34126i 0.804963 + 0.537859i 0.888625 0.458635i \(-0.151662\pi\)
−0.0836617 + 0.996494i \(0.526662\pi\)
\(140\) 9.82957 + 7.18227i 0.830750 + 0.607012i
\(141\) 0.440705 18.2974i 0.0371140 1.54092i
\(142\) 16.4006 10.4675i 1.37631 0.878411i
\(143\) −1.42760 + 1.42760i −0.119382 + 0.119382i
\(144\) 7.29364 + 9.52905i 0.607804 + 0.794087i
\(145\) −0.658038 0.658038i −0.0546471 0.0546471i
\(146\) −12.9154 2.85202i −1.06888 0.236035i
\(147\) −6.78699 0.163469i −0.559781 0.0134827i
\(148\) 1.13964 + 1.87105i 0.0936775 + 0.153799i
\(149\) −4.81608 + 7.20777i −0.394548 + 0.590484i −0.974561 0.224124i \(-0.928048\pi\)
0.580012 + 0.814608i \(0.303048\pi\)
\(150\) 0.941030 3.82193i 0.0768348 0.312059i
\(151\) 1.60104 3.86526i 0.130291 0.314551i −0.845249 0.534373i \(-0.820548\pi\)
0.975540 + 0.219822i \(0.0705478\pi\)
\(152\) 6.02116 + 17.5936i 0.488380 + 1.42703i
\(153\) −2.36065 2.59974i −0.190847 0.210176i
\(154\) 17.2982 + 0.363076i 1.39393 + 0.0292575i
\(155\) 1.00438 + 5.04938i 0.0806741 + 0.405576i
\(156\) 1.49795 + 1.15086i 0.119932 + 0.0921422i
\(157\) −5.75579 8.61415i −0.459362 0.687484i 0.527407 0.849613i \(-0.323164\pi\)
−0.986770 + 0.162128i \(0.948164\pi\)
\(158\) −11.4572 + 16.3915i −0.911482 + 1.30404i
\(159\) 0.722854 + 4.15450i 0.0573261 + 0.329473i
\(160\) −4.97399 + 9.15635i −0.393229 + 0.723873i
\(161\) −26.7381 −2.10725
\(162\) −1.00496 12.6882i −0.0789574 0.996878i
\(163\) 0.602415 0.402521i 0.0471847 0.0315278i −0.531754 0.846899i \(-0.678467\pi\)
0.578939 + 0.815371i \(0.303467\pi\)
\(164\) 0.839278 19.9843i 0.0655366 1.56051i
\(165\) 4.25632 + 11.0189i 0.331354 + 0.857822i
\(166\) −12.8224 0.269132i −0.995210 0.0208887i
\(167\) 3.14806 1.30397i 0.243604 0.100904i −0.257541 0.966267i \(-0.582912\pi\)
0.501145 + 0.865363i \(0.332912\pi\)
\(168\) −1.76606 16.0920i −0.136254 1.24152i
\(169\) −11.7357 4.86109i −0.902747 0.373930i
\(170\) 1.22577 2.79206i 0.0940121 0.214141i
\(171\) 4.77469 19.1368i 0.365130 1.46343i
\(172\) −2.59319 + 10.6743i −0.197729 + 0.813905i
\(173\) −0.0807891 0.0160700i −0.00614228 0.00122178i 0.192018 0.981391i \(-0.438497\pi\)
−0.198161 + 0.980170i \(0.563497\pi\)
\(174\) −0.0557514 + 1.23624i −0.00422650 + 0.0937189i
\(175\) −3.75471 + 3.75471i −0.283829 + 0.283829i
\(176\) 1.66115 + 14.7160i 0.125214 + 1.10926i
\(177\) 15.2979 + 10.7634i 1.14986 + 0.809028i
\(178\) 13.0024 8.29865i 0.974573 0.622010i
\(179\) 15.2598 + 3.03535i 1.14057 + 0.226873i 0.729005 0.684508i \(-0.239983\pi\)
0.411563 + 0.911381i \(0.364983\pi\)
\(180\) 9.70499 5.28819i 0.723367 0.394158i
\(181\) 9.09877 13.6173i 0.676306 1.01216i −0.321561 0.946889i \(-0.604207\pi\)
0.997867 0.0652752i \(-0.0207925\pi\)
\(182\) −0.925594 2.37432i −0.0686096 0.175996i
\(183\) −0.313035 0.0701422i −0.0231402 0.00518506i
\(184\) −3.04376 22.6828i −0.224389 1.67220i
\(185\) 1.86417 0.772166i 0.137057 0.0567708i
\(186\) 4.05606 5.51517i 0.297405 0.404392i
\(187\) −0.845470 4.25046i −0.0618269 0.310825i
\(188\) −19.1689 8.89987i −1.39804 0.649090i
\(189\) −7.69879 + 15.3479i −0.560005 + 1.11640i
\(190\) 16.8641 2.98804i 1.22345 0.216775i
\(191\) −1.98808 −0.143852 −0.0719260 0.997410i \(-0.522915\pi\)
−0.0719260 + 0.997410i \(0.522915\pi\)
\(192\) 13.4503 3.33005i 0.970692 0.240326i
\(193\) 11.9983 0.863656 0.431828 0.901956i \(-0.357869\pi\)
0.431828 + 0.901956i \(0.357869\pi\)
\(194\) 21.0813 3.73525i 1.51355 0.268175i
\(195\) 1.25949 1.20025i 0.0901943 0.0859517i
\(196\) −3.30119 + 7.11023i −0.235799 + 0.507873i
\(197\) 0.501219 + 2.51980i 0.0357103 + 0.179528i 0.994524 0.104508i \(-0.0333266\pi\)
−0.958814 + 0.284036i \(0.908327\pi\)
\(198\) 6.99943 14.0621i 0.497428 0.999350i
\(199\) 1.03878 0.430275i 0.0736368 0.0305014i −0.345561 0.938396i \(-0.612311\pi\)
0.419198 + 0.907895i \(0.362311\pi\)
\(200\) −3.61266 2.75782i −0.255454 0.195007i
\(201\) 0.950368 4.24136i 0.0670338 0.299163i
\(202\) 2.20214 + 5.64891i 0.154942 + 0.397456i
\(203\) 0.927492 1.38809i 0.0650972 0.0974248i
\(204\) −3.84044 + 1.30107i −0.268884 + 0.0910931i
\(205\) −18.0682 3.59398i −1.26193 0.251014i
\(206\) 9.79475 6.25139i 0.682433 0.435555i
\(207\) −10.3583 + 21.9533i −0.719952 + 1.52586i
\(208\) 1.90885 1.05549i 0.132355 0.0731854i
\(209\) 17.2118 17.2118i 1.19056 1.19056i
\(210\) −14.8949 0.671723i −1.02784 0.0463533i
\(211\) 14.1029 + 2.80524i 0.970885 + 0.193121i 0.654960 0.755663i \(-0.272685\pi\)
0.315924 + 0.948784i \(0.397685\pi\)
\(212\) 4.73165 + 1.14950i 0.324971 + 0.0789480i
\(213\) −9.64640 + 21.7891i −0.660961 + 1.49297i
\(214\) −1.75770 + 4.00370i −0.120154 + 0.273687i
\(215\) 9.34703 + 3.87167i 0.637462 + 0.264046i
\(216\) −13.8965 4.78400i −0.945539 0.325510i
\(217\) −8.53266 + 3.53434i −0.579235 + 0.239927i
\(218\) −4.12475 0.0865751i −0.279363 0.00586361i
\(219\) 15.1110 5.83698i 1.02110 0.394426i
\(220\) 13.6278 + 0.572324i 0.918784 + 0.0385861i
\(221\) −0.530727 + 0.354621i −0.0357006 + 0.0238544i
\(222\) −2.43015 1.13744i −0.163101 0.0763401i
\(223\) 17.0025 1.13857 0.569286 0.822140i \(-0.307220\pi\)
0.569286 + 0.822140i \(0.307220\pi\)
\(224\) −17.8510 5.54701i −1.19272 0.370625i
\(225\) 1.62824 + 4.53738i 0.108549 + 0.302492i
\(226\) −6.81406 + 9.74870i −0.453264 + 0.648474i
\(227\) −9.29893 13.9168i −0.617192 0.923693i 0.382808 0.923828i \(-0.374957\pi\)
−1.00000 0.000135074i \(0.999957\pi\)
\(228\) −18.0600 13.8752i −1.19605 0.918910i
\(229\) −1.72964 8.69549i −0.114298 0.574614i −0.994909 0.100775i \(-0.967868\pi\)
0.880611 0.473839i \(-0.157132\pi\)
\(230\) −21.0739 0.442324i −1.38957 0.0291660i
\(231\) −17.8977 + 11.3452i −1.17758 + 0.746459i
\(232\) 1.28314 + 0.628807i 0.0842425 + 0.0412832i
\(233\) 4.61203 11.1344i 0.302144 0.729441i −0.697770 0.716322i \(-0.745824\pi\)
0.999914 0.0131185i \(-0.00417587\pi\)
\(234\) −2.30802 0.159850i −0.150880 0.0104497i
\(235\) −10.8142 + 16.1846i −0.705439 + 1.05576i
\(236\) 18.4463 11.2355i 1.20075 0.731367i
\(237\) 0.589764 24.4862i 0.0383093 1.59055i
\(238\) 5.34150 + 1.17953i 0.346238 + 0.0764575i
\(239\) 12.7729 + 12.7729i 0.826209 + 0.826209i 0.986990 0.160781i \(-0.0514014\pi\)
−0.160781 + 0.986990i \(0.551401\pi\)
\(240\) −1.12573 12.7123i −0.0726655 0.820573i
\(241\) −1.12018 + 1.12018i −0.0721574 + 0.0721574i −0.742264 0.670107i \(-0.766248\pi\)
0.670107 + 0.742264i \(0.266248\pi\)
\(242\) 3.22761 2.05998i 0.207478 0.132421i
\(243\) 9.61892 + 12.2669i 0.617054 + 0.786921i
\(244\) −0.218539 + 0.299090i −0.0139905 + 0.0191473i
\(245\) 6.00326 + 4.01125i 0.383534 + 0.256269i
\(246\) 12.6785 + 20.9612i 0.808349 + 1.33643i
\(247\) −3.31221 1.37196i −0.210751 0.0872960i
\(248\) −3.96963 6.83620i −0.252072 0.434099i
\(249\) 13.2667 8.40967i 0.840745 0.532941i
\(250\) −12.4229 + 11.9121i −0.785691 + 0.753387i
\(251\) 4.95413 0.985437i 0.312702 0.0622002i −0.0362446 0.999343i \(-0.511540\pi\)
0.348946 + 0.937143i \(0.386540\pi\)
\(252\) 12.7009 + 15.2248i 0.800080 + 0.959070i
\(253\) −24.9087 + 16.6435i −1.56600 + 1.04637i
\(254\) −30.7479 + 5.44802i −1.92930 + 0.341839i
\(255\) 0.640175 + 3.67931i 0.0400893 + 0.230407i
\(256\) 2.67362 15.7750i 0.167101 0.985940i
\(257\) 21.3362i 1.33092i −0.746435 0.665458i \(-0.768236\pi\)
0.746435 0.665458i \(-0.231764\pi\)
\(258\) −4.58324 12.6487i −0.285340 0.787477i
\(259\) 2.01101 + 3.00969i 0.124958 + 0.187013i
\(260\) −0.690238 1.88666i −0.0428068 0.117006i
\(261\) −0.780385 1.29926i −0.0483046 0.0804225i
\(262\) −13.6599 14.2457i −0.843914 0.880099i
\(263\) 1.14122 + 2.75514i 0.0703705 + 0.169889i 0.955151 0.296118i \(-0.0956921\pi\)
−0.884781 + 0.466007i \(0.845692\pi\)
\(264\) −11.6619 13.8917i −0.717741 0.854976i
\(265\) 1.71622 4.14332i 0.105426 0.254522i
\(266\) 11.1594 + 28.6259i 0.684225 + 1.75517i
\(267\) −7.64770 + 17.2745i −0.468032 + 1.05718i
\(268\) −4.05242 2.96102i −0.247541 0.180873i
\(269\) −2.86161 + 14.3863i −0.174476 + 0.877148i 0.790026 + 0.613073i \(0.210067\pi\)
−0.964502 + 0.264075i \(0.914933\pi\)
\(270\) −6.32178 + 11.9692i −0.384731 + 0.728425i
\(271\) −14.9476 14.9476i −0.907999 0.907999i 0.0881113 0.996111i \(-0.471917\pi\)
−0.996111 + 0.0881113i \(0.971917\pi\)
\(272\) −0.392577 + 4.66564i −0.0238035 + 0.282896i
\(273\) 2.55258 + 1.79597i 0.154489 + 0.108697i
\(274\) −2.89880 + 13.1272i −0.175123 + 0.793044i
\(275\) −1.16065 + 5.83499i −0.0699900 + 0.351863i
\(276\) 18.4685 + 21.0849i 1.11167 + 1.26916i
\(277\) 0.819369 + 0.547485i 0.0492311 + 0.0328952i 0.579942 0.814658i \(-0.303075\pi\)
−0.530711 + 0.847553i \(0.678075\pi\)
\(278\) −6.48878 + 14.7802i −0.389171 + 0.886456i
\(279\) −0.403667 + 8.37497i −0.0241669 + 0.501396i
\(280\) −7.57621 + 15.4600i −0.452765 + 0.923912i
\(281\) −5.35268 12.9225i −0.319314 0.770893i −0.999291 0.0376590i \(-0.988010\pi\)
0.679976 0.733234i \(-0.261990\pi\)
\(282\) 25.5884 3.90088i 1.52376 0.232294i
\(283\) −2.79329 + 0.555619i −0.166044 + 0.0330281i −0.277412 0.960751i \(-0.589477\pi\)
0.111368 + 0.993779i \(0.464477\pi\)
\(284\) 18.6228 + 20.2555i 1.10506 + 1.20194i
\(285\) −15.1850 + 14.4708i −0.899484 + 0.857174i
\(286\) −2.34020 1.63573i −0.138379 0.0967227i
\(287\) 33.0480i 1.95076i
\(288\) −11.4699 + 12.5077i −0.675868 + 0.737023i
\(289\) 15.6299i 0.919403i
\(290\) 0.753975 1.07869i 0.0442749 0.0633431i
\(291\) −18.9823 + 18.0895i −1.11276 + 1.06042i
\(292\) 0.784866 18.6887i 0.0459308 1.09367i
\(293\) 28.5066 5.67031i 1.66537 0.331263i 0.729602 0.683872i \(-0.239706\pi\)
0.935771 + 0.352609i \(0.114706\pi\)
\(294\) −1.44693 9.49137i −0.0843869 0.553548i
\(295\) −7.61264 18.3785i −0.443225 1.07004i
\(296\) −2.32429 + 2.04862i −0.135097 + 0.119074i
\(297\) 2.38145 + 19.0901i 0.138185 + 1.10772i
\(298\) −11.2253 4.92812i −0.650263 0.285478i
\(299\) 3.66872 + 2.45136i 0.212168 + 0.141766i
\(300\) 5.55431 + 0.367414i 0.320678 + 0.0212127i
\(301\) −3.54078 + 17.8007i −0.204087 + 1.02602i
\(302\) 5.77750 + 1.27581i 0.332458 + 0.0734145i
\(303\) −6.07303 4.27291i −0.348886 0.245472i
\(304\) −23.0139 + 12.7255i −1.31994 + 0.729859i
\(305\) 0.241242 + 0.241242i 0.0138135 + 0.0138135i
\(306\) 3.03775 3.92870i 0.173657 0.224589i
\(307\) 2.86761 14.4164i 0.163663 0.822790i −0.808502 0.588493i \(-0.799721\pi\)
0.972165 0.234296i \(-0.0752786\pi\)
\(308\) 3.76244 + 24.1778i 0.214385 + 1.37766i
\(309\) −5.76103 + 13.0129i −0.327733 + 0.740279i
\(310\) −6.78357 + 2.64448i −0.385281 + 0.150196i
\(311\) 1.95981 4.73141i 0.111131 0.268294i −0.858523 0.512775i \(-0.828618\pi\)
0.969654 + 0.244481i \(0.0786176\pi\)
\(312\) −1.23300 + 2.36989i −0.0698049 + 0.134168i
\(313\) −0.752332 1.81629i −0.0425243 0.102663i 0.901190 0.433424i \(-0.142695\pi\)
−0.943715 + 0.330761i \(0.892695\pi\)
\(314\) 10.5753 10.1405i 0.596797 0.572260i
\(315\) 15.6542 9.40250i 0.882017 0.529771i
\(316\) −25.6524 11.9101i −1.44306 0.669993i
\(317\) 6.37904 + 9.54690i 0.358282 + 0.536208i 0.966200 0.257792i \(-0.0829950\pi\)
−0.607918 + 0.794000i \(0.707995\pi\)
\(318\) −5.60689 + 2.03164i −0.314419 + 0.113929i
\(319\) 1.87045i 0.104725i
\(320\) −13.9777 4.66724i −0.781376 0.260907i
\(321\) −0.917985 5.27598i −0.0512369 0.294477i
\(322\) −6.59714 37.2334i −0.367644 2.07494i
\(323\) 6.39869 4.27547i 0.356033 0.237893i
\(324\) 17.4206 4.53002i 0.967814 0.251668i
\(325\) 0.859416 0.170948i 0.0476718 0.00948251i
\(326\) 0.709155 + 0.739562i 0.0392764 + 0.0409605i
\(327\) 4.26769 2.70525i 0.236004 0.149601i
\(328\) 28.0357 3.76205i 1.54801 0.207724i
\(329\) −32.2607 13.3628i −1.77859 0.736717i
\(330\) −14.2939 + 8.64576i −0.786855 + 0.475933i
\(331\) −28.1107 18.7830i −1.54510 1.03240i −0.977962 0.208784i \(-0.933050\pi\)
−0.567141 0.823621i \(-0.691950\pi\)
\(332\) −2.78892 17.9219i −0.153062 0.983591i
\(333\) 3.25018 0.485193i 0.178109 0.0265884i
\(334\) 2.59254 + 4.06202i 0.141857 + 0.222264i
\(335\) −3.26863 + 3.26863i −0.178584 + 0.178584i
\(336\) 21.9727 6.42968i 1.19871 0.350768i
\(337\) −2.58232 2.58232i −0.140668 0.140668i 0.633266 0.773934i \(-0.281714\pi\)
−0.773934 + 0.633266i \(0.781714\pi\)
\(338\) 3.87361 17.5416i 0.210696 0.954140i
\(339\) 0.350758 14.5630i 0.0190505 0.790951i
\(340\) 4.19044 + 1.01802i 0.227259 + 0.0552099i
\(341\) −5.74889 + 8.60382i −0.311320 + 0.465923i
\(342\) 27.8265 + 1.92722i 1.50468 + 0.104212i
\(343\) 3.89538 9.40427i 0.210331 0.507783i
\(344\) −15.5040 0.977398i −0.835919 0.0526978i
\(345\) 21.8042 13.8215i 1.17390 0.744124i
\(346\) 0.00244452 0.116466i 0.000131418 0.00626124i
\(347\) −5.96824 30.0043i −0.320392 1.61072i −0.719961 0.694015i \(-0.755840\pi\)
0.399569 0.916703i \(-0.369160\pi\)
\(348\) −1.73525 + 0.227385i −0.0930190 + 0.0121891i
\(349\) 6.31423 + 9.44991i 0.337993 + 0.505842i 0.961065 0.276322i \(-0.0891157\pi\)
−0.623072 + 0.782164i \(0.714116\pi\)
\(350\) −6.15493 4.30211i −0.328995 0.229958i
\(351\) 2.46345 1.40005i 0.131489 0.0747291i
\(352\) −20.0825 + 5.94411i −1.07040 + 0.316822i
\(353\) −18.7391 −0.997379 −0.498690 0.866781i \(-0.666185\pi\)
−0.498690 + 0.866781i \(0.666185\pi\)
\(354\) −11.2138 + 23.9584i −0.596008 + 1.27337i
\(355\) 21.0712 14.0793i 1.11834 0.747254i
\(356\) 14.7642 + 16.0587i 0.782500 + 0.851107i
\(357\) −6.24954 + 2.41404i −0.330761 + 0.127764i
\(358\) −0.461731 + 21.9985i −0.0244032 + 1.16266i
\(359\) −18.0775 + 7.48794i −0.954094 + 0.395199i −0.804768 0.593590i \(-0.797710\pi\)
−0.149326 + 0.988788i \(0.547710\pi\)
\(360\) 9.75846 + 12.2097i 0.514316 + 0.643506i
\(361\) 22.3798 + 9.27003i 1.17789 + 0.487896i
\(362\) 21.2073 + 9.31044i 1.11463 + 0.489346i
\(363\) −1.89840 + 4.28807i −0.0996400 + 0.225065i
\(364\) 3.07793 1.87473i 0.161327 0.0982627i
\(365\) −16.8968 3.36097i −0.884417 0.175921i
\(366\) 0.0204389 0.453215i 0.00106836 0.0236899i
\(367\) −1.66204 + 1.66204i −0.0867576 + 0.0867576i −0.749154 0.662396i \(-0.769540\pi\)
0.662396 + 0.749154i \(0.269540\pi\)
\(368\) 30.8353 9.83507i 1.60740 0.512689i
\(369\) −27.1341 12.8028i −1.41255 0.666485i
\(370\) 1.53521 + 2.40539i 0.0798118 + 0.125050i
\(371\) 7.89063 + 1.56954i 0.409661 + 0.0814867i
\(372\) 8.68076 + 4.28739i 0.450077 + 0.222291i
\(373\) 3.60356 5.39311i 0.186585 0.279245i −0.726370 0.687304i \(-0.758794\pi\)
0.912956 + 0.408059i \(0.133794\pi\)
\(374\) 5.71027 2.22606i 0.295271 0.115107i
\(375\) 4.60899 20.5693i 0.238007 1.06219i
\(376\) 7.66370 28.8890i 0.395225 1.48984i
\(377\) −0.254522 + 0.105426i −0.0131085 + 0.00542973i
\(378\) −23.2719 6.93394i −1.19697 0.356643i
\(379\) 0.395416 + 1.98789i 0.0203112 + 0.102111i 0.989611 0.143770i \(-0.0459226\pi\)
−0.969300 + 0.245881i \(0.920923\pi\)
\(380\) 8.32182 + 22.7464i 0.426900 + 1.16687i
\(381\) 27.6866 26.3842i 1.41842 1.35170i
\(382\) −0.490522 2.76844i −0.0250973 0.141646i
\(383\) −24.1070 −1.23181 −0.615905 0.787821i \(-0.711209\pi\)
−0.615905 + 0.787821i \(0.711209\pi\)
\(384\) 7.95580 + 17.9082i 0.405993 + 0.913876i
\(385\) 22.5362 1.14855
\(386\) 2.96037 + 16.7079i 0.150679 + 0.850410i
\(387\) 13.2436 + 9.80315i 0.673211 + 0.498322i
\(388\) 10.4029 + 28.4346i 0.528125 + 1.44355i
\(389\) 7.20317 + 36.2128i 0.365215 + 1.83606i 0.527802 + 0.849367i \(0.323016\pi\)
−0.162587 + 0.986694i \(0.551984\pi\)
\(390\) 1.98214 + 1.45774i 0.100369 + 0.0738154i
\(391\) −8.75034 + 3.62451i −0.442524 + 0.183299i
\(392\) −10.7157 2.84266i −0.541223 0.143576i
\(393\) 23.5874 + 5.28526i 1.18983 + 0.266606i
\(394\) −3.38521 + 1.31967i −0.170544 + 0.0664842i
\(395\) −14.4718 + 21.6586i −0.728157 + 1.08976i
\(396\) 21.3088 + 6.27730i 1.07081 + 0.315446i
\(397\) 30.1732 + 6.00182i 1.51435 + 0.301223i 0.881176 0.472788i \(-0.156752\pi\)
0.633173 + 0.774011i \(0.281752\pi\)
\(398\) 0.855467 + 1.34036i 0.0428807 + 0.0671860i
\(399\) −30.7751 21.6530i −1.54068 1.08400i
\(400\) 2.94897 5.71116i 0.147449 0.285558i
\(401\) 9.14394 9.14394i 0.456626 0.456626i −0.440920 0.897546i \(-0.645348\pi\)
0.897546 + 0.440920i \(0.145348\pi\)
\(402\) 6.14068 + 0.276930i 0.306270 + 0.0138120i
\(403\) 1.49479 + 0.297333i 0.0744610 + 0.0148112i
\(404\) −7.32290 + 4.46030i −0.364328 + 0.221908i
\(405\) −1.65550 16.4955i −0.0822623 0.819667i
\(406\) 2.16179 + 0.949068i 0.107288 + 0.0471015i
\(407\) 3.74685 + 1.55200i 0.185725 + 0.0769296i
\(408\) −2.75933 5.02689i −0.136607 0.248868i
\(409\) −25.5396 + 10.5789i −1.26285 + 0.523091i −0.910784 0.412883i \(-0.864522\pi\)
−0.352069 + 0.935974i \(0.614522\pi\)
\(410\) 0.546708 26.0471i 0.0270000 1.28637i
\(411\) −5.93271 15.3588i −0.292639 0.757594i
\(412\) 11.1219 + 12.0970i 0.547936 + 0.595977i
\(413\) 29.6720 19.8262i 1.46006 0.975583i
\(414\) −33.1263 9.00760i −1.62807 0.442699i
\(415\) −16.7051 −0.820019
\(416\) 1.94078 + 2.39769i 0.0951544 + 0.117557i
\(417\) −3.38886 19.4770i −0.165953 0.953791i
\(418\) 28.2145 + 19.7211i 1.38002 + 0.964590i
\(419\) −10.6745 15.9755i −0.521484 0.780455i 0.473468 0.880811i \(-0.343002\pi\)
−0.994952 + 0.100356i \(0.968002\pi\)
\(420\) −2.73965 20.9072i −0.133681 1.02017i
\(421\) 4.39818 + 22.1111i 0.214354 + 1.07763i 0.926700 + 0.375802i \(0.122633\pi\)
−0.712346 + 0.701829i \(0.752367\pi\)
\(422\) −0.426727 + 20.3308i −0.0207727 + 0.989687i
\(423\) −23.4694 + 21.3110i −1.14112 + 1.03618i
\(424\) −0.433257 + 6.87255i −0.0210408 + 0.333761i
\(425\) −0.719798 + 1.73775i −0.0349153 + 0.0842931i
\(426\) −32.7220 8.05676i −1.58539 0.390351i
\(427\) −0.340026 + 0.508885i −0.0164550 + 0.0246267i
\(428\) −6.00893 1.45980i −0.290453 0.0705622i
\(429\) 3.49587 + 0.0842002i 0.168782 + 0.00406522i
\(430\) −3.08518 + 13.9712i −0.148780 + 0.673753i
\(431\) −10.8612 10.8612i −0.523167 0.523167i 0.395359 0.918527i \(-0.370620\pi\)
−0.918527 + 0.395359i \(0.870620\pi\)
\(432\) 3.23311 20.5316i 0.155553 0.987828i
\(433\) 6.03352 6.03352i 0.289952 0.289952i −0.547109 0.837061i \(-0.684272\pi\)
0.837061 + 0.547109i \(0.184272\pi\)
\(434\) −7.02694 11.0099i −0.337304 0.528492i
\(435\) −0.0388113 + 1.61139i −0.00186086 + 0.0772603i
\(436\) −0.897150 5.76517i −0.0429657 0.276102i
\(437\) −44.2317 29.5547i −2.11589 1.41379i
\(438\) 11.8565 + 19.6022i 0.566525 + 0.936630i
\(439\) 12.3126 + 5.10006i 0.587650 + 0.243412i 0.656639 0.754205i \(-0.271977\pi\)
−0.0689894 + 0.997617i \(0.521977\pi\)
\(440\) 2.56543 + 19.1182i 0.122302 + 0.911425i
\(441\) 7.90480 + 8.70539i 0.376419 + 0.414543i
\(442\) −0.624766 0.651554i −0.0297171 0.0309913i
\(443\) 39.4508 7.84725i 1.87436 0.372834i 0.879658 0.475607i \(-0.157772\pi\)
0.994705 + 0.102774i \(0.0327717\pi\)
\(444\) 0.984319 3.66468i 0.0467137 0.173918i
\(445\) 16.7053 11.1622i 0.791909 0.529137i
\(446\) 4.19506 + 23.6764i 0.198642 + 1.12111i
\(447\) 14.7924 2.57378i 0.699657 0.121736i
\(448\) 3.31993 26.2266i 0.156852 1.23909i
\(449\) 6.27965i 0.296355i 0.988961 + 0.148178i \(0.0473407\pi\)
−0.988961 + 0.148178i \(0.952659\pi\)
\(450\) −5.91668 + 3.38688i −0.278915 + 0.159659i
\(451\) −20.5712 30.7869i −0.968659 1.44970i
\(452\) −15.2565 7.08342i −0.717608 0.333176i
\(453\) −6.75966 + 2.61108i −0.317597 + 0.122679i
\(454\) 17.0852 16.3827i 0.801847 0.768879i
\(455\) −1.27023 3.06662i −0.0595495 0.143765i
\(456\) 14.8656 28.5724i 0.696146 1.33803i
\(457\) −3.03960 + 7.33824i −0.142186 + 0.343268i −0.978890 0.204388i \(-0.934480\pi\)
0.836704 + 0.547656i \(0.184480\pi\)
\(458\) 11.6819 4.55402i 0.545860 0.212795i
\(459\) −0.439018 + 6.06640i −0.0204916 + 0.283155i
\(460\) −4.58366 29.4550i −0.213714 1.37335i
\(461\) −4.23707 + 21.3012i −0.197340 + 0.992096i 0.747425 + 0.664347i \(0.231290\pi\)
−0.944765 + 0.327749i \(0.893710\pi\)
\(462\) −20.2144 22.1237i −0.940459 1.02929i
\(463\) 24.9132 + 24.9132i 1.15781 + 1.15781i 0.984945 + 0.172869i \(0.0553036\pi\)
0.172869 + 0.984945i \(0.444696\pi\)
\(464\) −0.559036 + 1.94196i −0.0259526 + 0.0901530i
\(465\) 5.13118 7.29289i 0.237953 0.338199i
\(466\) 16.6429 + 3.67514i 0.770967 + 0.170248i
\(467\) −4.59236 + 23.0874i −0.212509 + 1.06836i 0.716299 + 0.697794i \(0.245835\pi\)
−0.928808 + 0.370562i \(0.879165\pi\)
\(468\) −0.346868 3.25341i −0.0160340 0.150389i
\(469\) −6.89497 4.60707i −0.318380 0.212735i
\(470\) −25.2056 11.0657i −1.16265 0.510425i
\(471\) −3.92352 + 17.5101i −0.180786 + 0.806824i
\(472\) 20.1970 + 22.9148i 0.929640 + 1.05474i
\(473\) 7.78177 + 18.7869i 0.357806 + 0.863821i
\(474\) 34.2431 5.22026i 1.57284 0.239775i
\(475\) −10.3615 + 2.06103i −0.475418 + 0.0945666i
\(476\) −0.324602 + 7.72919i −0.0148781 + 0.354267i
\(477\) 4.34550 5.87058i 0.198967 0.268795i
\(478\) −14.6351 + 20.9380i −0.669392 + 0.957683i
\(479\) 16.8605i 0.770374i 0.922838 + 0.385187i \(0.125863\pi\)
−0.922838 + 0.385187i \(0.874137\pi\)
\(480\) 17.4244 4.70413i 0.795311 0.214713i
\(481\) 0.597330i 0.0272359i
\(482\) −1.83627 1.28350i −0.0836397 0.0584617i
\(483\) 31.9493 + 33.5263i 1.45374 + 1.52550i
\(484\) 3.66493 + 3.98626i 0.166588 + 0.181194i
\(485\) 27.3506 5.44037i 1.24193 0.247034i
\(486\) −14.7086 + 16.4212i −0.667197 + 0.744881i
\(487\) −5.51670 13.3185i −0.249986 0.603519i 0.748216 0.663455i \(-0.230910\pi\)
−0.998202 + 0.0599357i \(0.980910\pi\)
\(488\) −0.470411 0.230526i −0.0212945 0.0104354i
\(489\) −1.22454 0.274384i −0.0553755 0.0124081i
\(490\) −4.10457 + 9.34939i −0.185425 + 0.422362i
\(491\) 8.17112 + 5.45977i 0.368758 + 0.246396i 0.726117 0.687571i \(-0.241323\pi\)
−0.357360 + 0.933967i \(0.616323\pi\)
\(492\) −26.0607 + 22.8269i −1.17491 + 1.02911i
\(493\) 0.115368 0.579996i 0.00519593 0.0261217i
\(494\) 1.09326 4.95085i 0.0491882 0.222749i
\(495\) 8.73052 18.5034i 0.392408 0.831667i
\(496\) 8.54014 7.21451i 0.383464 0.323941i
\(497\) 32.1465 + 32.1465i 1.44197 + 1.44197i
\(498\) 14.9840 + 16.3993i 0.671449 + 0.734871i
\(499\) 3.78425 19.0247i 0.169407 0.851664i −0.798816 0.601575i \(-0.794540\pi\)
0.968223 0.250089i \(-0.0804599\pi\)
\(500\) −19.6530 14.3600i −0.878908 0.642200i
\(501\) −5.39664 2.38918i −0.241104 0.106741i
\(502\) 2.59459 + 6.65560i 0.115802 + 0.297054i
\(503\) −4.59413 + 11.0912i −0.204842 + 0.494532i −0.992597 0.121457i \(-0.961243\pi\)
0.787755 + 0.615989i \(0.211243\pi\)
\(504\) −18.0671 + 21.4427i −0.804774 + 0.955134i
\(505\) 3.02210 + 7.29599i 0.134482 + 0.324667i
\(506\) −29.3222 30.5795i −1.30353 1.35943i
\(507\) 7.92777 + 20.5237i 0.352085 + 0.911489i
\(508\) −15.1730 41.4730i −0.673193 1.84007i
\(509\) 13.6072 + 20.3646i 0.603129 + 0.902647i 0.999883 0.0152784i \(-0.00486345\pi\)
−0.396754 + 0.917925i \(0.629863\pi\)
\(510\) −4.96558 + 1.79926i −0.219879 + 0.0796727i
\(511\) 30.9054i 1.36717i
\(512\) 22.6268 0.169126i 0.999972 0.00747439i
\(513\) −29.7005 + 16.8796i −1.31131 + 0.745254i
\(514\) 29.7112 5.26433i 1.31050 0.232200i
\(515\) 12.5842 8.40847i 0.554524 0.370521i
\(516\) 16.4829 9.50312i 0.725617 0.418352i
\(517\) −38.3715 + 7.63256i −1.68758 + 0.335680i
\(518\) −3.69489 + 3.54297i −0.162344 + 0.155669i
\(519\) 0.0763851 + 0.120502i 0.00335293 + 0.00528944i
\(520\) 2.45691 1.42667i 0.107743 0.0625637i
\(521\) −9.74629 4.03705i −0.426993 0.176866i 0.158829 0.987306i \(-0.449228\pi\)
−0.585822 + 0.810440i \(0.699228\pi\)
\(522\) 1.61671 1.40727i 0.0707615 0.0615947i
\(523\) 8.73360 + 5.83560i 0.381894 + 0.255173i 0.731669 0.681661i \(-0.238742\pi\)
−0.349775 + 0.936834i \(0.613742\pi\)
\(524\) 16.4671 22.5367i 0.719367 0.984518i
\(525\) 9.19445 + 0.221454i 0.401279 + 0.00966504i
\(526\) −3.55503 + 2.26896i −0.155007 + 0.0989312i
\(527\) −2.31331 + 2.31331i −0.100769 + 0.100769i
\(528\) 16.4672 19.6670i 0.716642 0.855897i
\(529\) 30.0319 + 30.0319i 1.30574 + 1.30574i
\(530\) 6.19312 + 1.36759i 0.269012 + 0.0594041i
\(531\) −4.78343 32.0429i −0.207583 1.39054i
\(532\) −37.1089 + 22.6026i −1.60887 + 0.979948i
\(533\) −3.02986 + 4.53450i −0.131238 + 0.196411i
\(534\) −25.9421 6.38743i −1.12262 0.276411i
\(535\) −2.17950 + 5.26178i −0.0942281 + 0.227487i
\(536\) 3.12343 6.37368i 0.134912 0.275301i
\(537\) −14.4279 22.7608i −0.622610 0.982203i
\(538\) −20.7393 0.435302i −0.894136 0.0187672i
\(539\) 2.83111 + 14.2330i 0.121945 + 0.613057i
\(540\) −18.2272 5.85004i −0.784376 0.251746i
\(541\) 22.1758 + 33.1885i 0.953413 + 1.42688i 0.903722 + 0.428119i \(0.140824\pi\)
0.0496911 + 0.998765i \(0.484176\pi\)
\(542\) 17.1268 24.5029i 0.735658 1.05249i
\(543\) −27.9465 + 4.86251i −1.19930 + 0.208670i
\(544\) −6.59388 + 0.604490i −0.282710 + 0.0259173i
\(545\) −5.37374 −0.230186
\(546\) −1.87112 + 3.99766i −0.0800766 + 0.171084i
\(547\) −0.839814 + 0.561146i −0.0359079 + 0.0239929i −0.573395 0.819279i \(-0.694374\pi\)
0.537487 + 0.843272i \(0.319374\pi\)
\(548\) −18.9952 0.797739i −0.811434 0.0340777i
\(549\) 0.286095 + 0.476321i 0.0122103 + 0.0203289i
\(550\) −8.41174 0.176556i −0.358678 0.00752836i
\(551\) 3.06863 1.27107i 0.130728 0.0541493i
\(552\) −24.8045 + 30.9201i −1.05575 + 1.31605i
\(553\) −43.1723 17.8825i −1.83587 0.760443i
\(554\) −0.560221 + 1.27607i −0.0238015 + 0.0542152i
\(555\) −3.19570 1.41479i −0.135650 0.0600544i
\(556\) −22.1827 5.38904i −0.940757 0.228546i
\(557\) −31.2872 6.22341i −1.32568 0.263694i −0.519047 0.854746i \(-0.673713\pi\)
−0.806634 + 0.591052i \(0.798713\pi\)
\(558\) −11.7619 + 1.50426i −0.497923 + 0.0636804i
\(559\) 2.11781 2.11781i 0.0895738 0.0895738i
\(560\) −23.3977 6.73557i −0.988735 0.284630i
\(561\) −4.31932 + 6.13899i −0.182362 + 0.259189i
\(562\) 16.6742 10.6421i 0.703361 0.448912i
\(563\) 0.331921 + 0.0660232i 0.0139888 + 0.00278255i 0.202080 0.979369i \(-0.435230\pi\)
−0.188091 + 0.982152i \(0.560230\pi\)
\(564\) 11.7455 + 34.6699i 0.494576 + 1.45987i
\(565\) −8.60702 + 12.8813i −0.362100 + 0.541921i
\(566\) −1.46291 3.75263i −0.0614905 0.157735i
\(567\) 28.4437 8.68583i 1.19452 0.364771i
\(568\) −23.6115 + 30.9303i −0.990715 + 1.29781i
\(569\) 4.20099 1.74011i 0.176115 0.0729491i −0.292884 0.956148i \(-0.594615\pi\)
0.468999 + 0.883199i \(0.344615\pi\)
\(570\) −23.8975 17.5751i −1.00096 0.736141i
\(571\) 6.40640 + 32.2071i 0.268099 + 1.34783i 0.846637 + 0.532171i \(0.178624\pi\)
−0.578537 + 0.815656i \(0.696376\pi\)
\(572\) 1.70039 3.66237i 0.0710969 0.153131i
\(573\) 2.37555 + 2.49281i 0.0992400 + 0.104139i
\(574\) 46.0201 8.15399i 1.92084 0.340341i
\(575\) 13.0021 0.542226
\(576\) −20.2473 12.8860i −0.843635 0.536916i
\(577\) −29.0303 −1.20855 −0.604274 0.796777i \(-0.706537\pi\)
−0.604274 + 0.796777i \(0.706537\pi\)
\(578\) −21.7649 + 3.85639i −0.905302 + 0.160405i
\(579\) −14.3368 15.0444i −0.595815 0.625225i
\(580\) 1.68814 + 0.783780i 0.0700961 + 0.0325447i
\(581\) −5.84640 29.3918i −0.242550 1.21938i
\(582\) −29.8736 21.9701i −1.23830 0.910691i
\(583\) 8.32777 3.44947i 0.344901 0.142863i
\(584\) 26.2181 3.51815i 1.08491 0.145582i
\(585\) −3.00994 0.145077i −0.124446 0.00599818i
\(586\) 14.9295 + 38.2971i 0.616733 + 1.58204i
\(587\) −6.76560 + 10.1254i −0.279246 + 0.417922i −0.944407 0.328779i \(-0.893363\pi\)
0.665161 + 0.746700i \(0.268363\pi\)
\(588\) 12.8600 4.35672i 0.530336 0.179668i
\(589\) −18.0219 3.58478i −0.742580 0.147708i
\(590\) 23.7143 15.1354i 0.976301 0.623113i
\(591\) 2.56062 3.63937i 0.105330 0.149704i
\(592\) −3.42623 2.73118i −0.140817 0.112251i
\(593\) −13.3642 + 13.3642i −0.548802 + 0.548802i −0.926094 0.377292i \(-0.876855\pi\)
0.377292 + 0.926094i \(0.376855\pi\)
\(594\) −25.9958 + 8.02636i −1.06662 + 0.329325i
\(595\) 6.98810 + 1.39002i 0.286484 + 0.0569853i
\(596\) 4.09288 16.8474i 0.167651 0.690096i
\(597\) −1.78075 0.788364i −0.0728811 0.0322656i
\(598\) −2.50839 + 5.71361i −0.102576 + 0.233647i
\(599\) −6.94122 2.87515i −0.283610 0.117475i 0.236344 0.971670i \(-0.424051\pi\)
−0.519954 + 0.854194i \(0.674051\pi\)
\(600\) 0.858794 + 7.82516i 0.0350601 + 0.319461i
\(601\) 32.8120 13.5912i 1.33843 0.554395i 0.405381 0.914148i \(-0.367139\pi\)
0.933048 + 0.359753i \(0.117139\pi\)
\(602\) −25.6615 0.538615i −1.04589 0.0219523i
\(603\) −6.45375 + 3.87635i −0.262817 + 0.157857i
\(604\) −0.351098 + 8.36009i −0.0142860 + 0.340167i
\(605\) 4.14679 2.77079i 0.168591 0.112649i
\(606\) 4.45171 9.51110i 0.180838 0.386362i
\(607\) 17.6571 0.716678 0.358339 0.933592i \(-0.383343\pi\)
0.358339 + 0.933592i \(0.383343\pi\)
\(608\) −23.3989 28.9077i −0.948950 1.17236i
\(609\) −2.84876 + 0.495664i −0.115437 + 0.0200853i
\(610\) −0.276414 + 0.395458i −0.0111917 + 0.0160116i
\(611\) 3.20137 + 4.79120i 0.129514 + 0.193831i
\(612\) 6.22032 + 3.26080i 0.251442 + 0.131810i
\(613\) −4.92328 24.7510i −0.198849 0.999683i −0.943284 0.331987i \(-0.892281\pi\)
0.744434 0.667696i \(-0.232719\pi\)
\(614\) 20.7828 + 0.436214i 0.838724 + 0.0176042i
\(615\) 17.0832 + 26.9497i 0.688861 + 1.08672i
\(616\) −32.7398 + 11.2047i −1.31913 + 0.451451i
\(617\) 4.75928 11.4899i 0.191602 0.462567i −0.798661 0.601782i \(-0.794458\pi\)
0.990262 + 0.139215i \(0.0444578\pi\)
\(618\) −19.5422 4.81166i −0.786104 0.193553i
\(619\) −1.24045 + 1.85647i −0.0498579 + 0.0746176i −0.855561 0.517702i \(-0.826788\pi\)
0.805703 + 0.592319i \(0.201788\pi\)
\(620\) −5.35622 8.79381i −0.215111 0.353168i
\(621\) 39.9040 13.2440i 1.60129 0.531462i
\(622\) 7.07215 + 1.56170i 0.283567 + 0.0626183i
\(623\) 25.4858 + 25.4858i 1.02107 + 1.02107i
\(624\) −3.60435 1.13226i −0.144289 0.0453265i
\(625\) −10.1706 + 10.1706i −0.406824 + 0.406824i
\(626\) 2.34360 1.49578i 0.0936693 0.0597833i
\(627\) −42.1478 1.01516i −1.68322 0.0405414i
\(628\) 16.7301 + 12.2243i 0.667604 + 0.487805i
\(629\) 1.06611 + 0.712352i 0.0425086 + 0.0284033i
\(630\) 16.9556 + 19.4790i 0.675528 + 0.776062i
\(631\) −3.29336 1.36415i −0.131106 0.0543061i 0.316166 0.948704i \(-0.397604\pi\)
−0.447272 + 0.894398i \(0.647604\pi\)
\(632\) 10.2558 38.6601i 0.407953 1.53782i
\(633\) −13.3341 21.0353i −0.529984 0.836080i
\(634\) −11.7204 + 11.2385i −0.465476 + 0.446338i
\(635\) −39.8920 + 7.93501i −1.58306 + 0.314891i
\(636\) −4.21251 7.30645i −0.167037 0.289720i
\(637\) 1.77718 1.18747i 0.0704143 0.0470493i
\(638\) 2.60465 0.461501i 0.103119 0.0182710i
\(639\) 38.8475 13.9404i 1.53678 0.551474i
\(640\) 3.05050 20.6158i 0.120581 0.814912i
\(641\) 5.80247i 0.229184i 0.993413 + 0.114592i \(0.0365560\pi\)
−0.993413 + 0.114592i \(0.963444\pi\)
\(642\) 7.12043 2.58007i 0.281021 0.101827i
\(643\) 20.9923 + 31.4171i 0.827854 + 1.23897i 0.968525 + 0.248915i \(0.0800738\pi\)
−0.140672 + 0.990056i \(0.544926\pi\)
\(644\) 50.2207 18.3733i 1.97897 0.724011i
\(645\) −6.31416 16.3463i −0.248620 0.643636i
\(646\) 7.53245 + 7.85543i 0.296360 + 0.309068i
\(647\) −6.78354 16.3769i −0.266688 0.643843i 0.732635 0.680622i \(-0.238290\pi\)
−0.999323 + 0.0367789i \(0.988290\pi\)
\(648\) 10.6064 + 23.1410i 0.416659 + 0.909063i
\(649\) 15.3009 36.9395i 0.600611 1.45000i
\(650\) 0.450095 + 1.15458i 0.0176542 + 0.0452863i
\(651\) 14.6273 + 6.47575i 0.573290 + 0.253805i
\(652\) −0.854887 + 1.16999i −0.0334799 + 0.0458203i
\(653\) −1.38945 + 6.98522i −0.0543733 + 0.273353i −0.998402 0.0565103i \(-0.982003\pi\)
0.944029 + 0.329863i \(0.107003\pi\)
\(654\) 4.82010 + 5.27539i 0.188481 + 0.206284i
\(655\) −18.1778 18.1778i −0.710264 0.710264i
\(656\) 12.1560 + 38.1121i 0.474614 + 1.48803i
\(657\) −25.3749 11.9727i −0.989971 0.467101i
\(658\) 10.6483 48.2209i 0.415114 1.87985i
\(659\) −4.43616 + 22.3021i −0.172808 + 0.868765i 0.792943 + 0.609296i \(0.208548\pi\)
−0.965751 + 0.259469i \(0.916452\pi\)
\(660\) −15.5662 17.7715i −0.605913 0.691753i
\(661\) −19.0702 12.7423i −0.741745 0.495618i 0.126369 0.991983i \(-0.459668\pi\)
−0.868114 + 0.496365i \(0.834668\pi\)
\(662\) 19.2199 43.7792i 0.747003 1.70153i
\(663\) 1.07882 + 0.241732i 0.0418978 + 0.00938811i
\(664\) 24.2685 8.30554i 0.941802 0.322318i
\(665\) 15.3145 + 36.9725i 0.593871 + 1.43373i
\(666\) 1.47757 + 4.40624i 0.0572546 + 0.170738i
\(667\) −4.00929 + 0.797498i −0.155240 + 0.0308792i
\(668\) −5.01680 + 4.61240i −0.194106 + 0.178459i
\(669\) −20.3163 21.3191i −0.785473 0.824244i
\(670\) −5.35812 3.74517i −0.207002 0.144689i
\(671\) 0.685723i 0.0264720i
\(672\) 14.3749 + 29.0111i 0.554522 + 1.11913i
\(673\) 23.4212i 0.902821i 0.892316 + 0.451410i \(0.149079\pi\)
−0.892316 + 0.451410i \(0.850921\pi\)
\(674\) 2.95880 4.23309i 0.113969 0.163052i
\(675\) 3.74375 7.46333i 0.144097 0.287264i
\(676\) 25.3829 + 1.06600i 0.976266 + 0.0410001i
\(677\) −8.49094 + 1.68895i −0.326333 + 0.0649117i −0.355538 0.934662i \(-0.615702\pi\)
0.0292050 + 0.999573i \(0.490702\pi\)
\(678\) 20.3658 3.10471i 0.782144 0.119236i
\(679\) 19.1442 + 46.2182i 0.734687 + 1.77369i
\(680\) −0.383701 + 6.08647i −0.0147143 + 0.233406i
\(681\) −6.33875 + 28.2890i −0.242901 + 1.08404i
\(682\) −13.3995 5.88262i −0.513092 0.225257i
\(683\) −1.10592 0.738953i −0.0423169 0.0282753i 0.534232 0.845338i \(-0.320601\pi\)
−0.576549 + 0.817063i \(0.695601\pi\)
\(684\) 4.18199 + 39.2246i 0.159902 + 1.49979i
\(685\) −3.41610 + 17.1739i −0.130522 + 0.656181i
\(686\) 14.0568 + 3.10407i 0.536691 + 0.118514i
\(687\) −8.83635 + 12.5590i −0.337128 + 0.479156i
\(688\) −2.46428 21.8308i −0.0939500 0.832293i
\(689\) −0.938774 0.938774i −0.0357644 0.0357644i
\(690\) 24.6265 + 26.9526i 0.937516 + 1.02607i
\(691\) 5.02517 25.2633i 0.191167 0.961059i −0.759420 0.650600i \(-0.774517\pi\)
0.950587 0.310459i \(-0.100483\pi\)
\(692\) 0.162785 0.0253318i 0.00618814 0.000962971i
\(693\) 35.6115 + 8.88519i 1.35277 + 0.337520i
\(694\) 40.3092 15.7139i 1.53012 0.596493i
\(695\) −8.04591 + 19.4245i −0.305199 + 0.736815i
\(696\) −0.744780 2.36027i −0.0282308 0.0894658i
\(697\) −4.47986 10.8153i −0.169687 0.409660i
\(698\) −11.6013 + 11.1243i −0.439116 + 0.421061i
\(699\) −19.4722 + 7.52159i −0.736504 + 0.284493i
\(700\) 4.47218 9.63235i 0.169032 0.364069i
\(701\) −8.51430 12.7425i −0.321581 0.481279i 0.635096 0.772434i \(-0.280961\pi\)
−0.956676 + 0.291154i \(0.905961\pi\)
\(702\) 2.55742 + 3.08498i 0.0965235 + 0.116435i
\(703\) 7.20167i 0.271616i
\(704\) −13.2323 26.4988i −0.498711 0.998710i
\(705\) 33.2153 5.77924i 1.25096 0.217659i
\(706\) −4.62353 26.0946i −0.174009 0.982082i
\(707\) −11.7793 + 7.87069i −0.443007 + 0.296008i
\(708\) −36.1294 9.70422i −1.35783 0.364707i
\(709\) −15.1060 + 3.00477i −0.567317 + 0.112846i −0.470411 0.882447i \(-0.655894\pi\)
−0.0969055 + 0.995294i \(0.530894\pi\)
\(710\) 24.8048 + 25.8684i 0.930906 + 0.970822i
\(711\) −31.4074 + 28.5190i −1.17787 + 1.06955i
\(712\) −18.7193 + 24.5217i −0.701534 + 0.918989i
\(713\) 20.8933 + 8.65430i 0.782461 + 0.324106i
\(714\) −4.90357 8.10702i −0.183511 0.303397i
\(715\) −3.09219 2.06613i −0.115641 0.0772690i
\(716\) −30.7474 + 4.78477i −1.14908 + 0.178815i
\(717\) 0.753349 31.2780i 0.0281343 1.16810i
\(718\) −14.8874 23.3258i −0.555594 0.870512i
\(719\) 10.7173 10.7173i 0.399686 0.399686i −0.478436 0.878122i \(-0.658796\pi\)
0.878122 + 0.478436i \(0.158796\pi\)
\(720\) −14.5945 + 16.6014i −0.543906 + 0.618698i
\(721\) 19.1985 + 19.1985i 0.714990 + 0.714990i
\(722\) −7.38692 + 33.4517i −0.274913 + 1.24494i
\(723\) 2.74308 + 0.0660688i 0.102016 + 0.00245713i
\(724\) −7.73248 + 31.8289i −0.287375 + 1.18291i
\(725\) −0.451018 + 0.674997i −0.0167504 + 0.0250687i
\(726\) −6.43964 1.58556i −0.238997 0.0588456i
\(727\) −1.37029 + 3.30817i −0.0508212 + 0.122693i −0.947251 0.320492i \(-0.896152\pi\)
0.896430 + 0.443185i \(0.146152\pi\)
\(728\) 3.37003 + 3.82353i 0.124902 + 0.141709i
\(729\) 3.88755 26.7187i 0.143983 0.989580i
\(730\) 0.511263 24.3584i 0.0189227 0.901545i
\(731\) 1.25424 + 6.30547i 0.0463896 + 0.233216i
\(732\) 0.636156 0.0833611i 0.0235130 0.00308111i
\(733\) −4.88457 7.31028i −0.180416 0.270011i 0.730228 0.683204i \(-0.239414\pi\)
−0.910644 + 0.413192i \(0.864414\pi\)
\(734\) −2.72450 1.90435i −0.100563 0.0702908i
\(735\) −2.14367 12.3204i −0.0790704 0.454445i
\(736\) 21.3036 + 40.5123i 0.785262 + 1.49330i
\(737\) −9.29098 −0.342237
\(738\) 11.1333 40.9438i 0.409822 1.50716i
\(739\) 26.6757 17.8242i 0.981283 0.655673i 0.0421088 0.999113i \(-0.486592\pi\)
0.939174 + 0.343441i \(0.111592\pi\)
\(740\) −2.97077 + 2.73130i −0.109208 + 0.100405i
\(741\) 2.23749 + 5.79248i 0.0821961 + 0.212792i
\(742\) −0.238755 + 11.3751i −0.00876498 + 0.417595i
\(743\) 40.3779 16.7251i 1.48132 0.613583i 0.511912 0.859038i \(-0.328937\pi\)
0.969408 + 0.245455i \(0.0789374\pi\)
\(744\) −3.82847 + 13.1460i −0.140359 + 0.481956i
\(745\) −14.7526 6.11073i −0.540493 0.223880i
\(746\) 8.39916 + 3.68739i 0.307515 + 0.135005i
\(747\) −26.3971 6.58618i −0.965821 0.240976i
\(748\) 4.50875 + 7.40244i 0.164856 + 0.270660i
\(749\) −10.0207 1.99323i −0.366147 0.0728312i
\(750\) 29.7804 + 1.34302i 1.08743 + 0.0490403i
\(751\) 25.3960 25.3960i 0.926712 0.926712i −0.0707803 0.997492i \(-0.522549\pi\)
0.997492 + 0.0707803i \(0.0225489\pi\)
\(752\) 42.1195 + 3.54403i 1.53594 + 0.129238i
\(753\) −7.15531 5.03438i −0.260754 0.183463i
\(754\) −0.209607 0.328415i −0.00763345 0.0119602i
\(755\) 7.55851 + 1.50348i 0.275082 + 0.0547173i
\(756\) 3.91376 34.1174i 0.142342 1.24084i
\(757\) 3.36700 5.03906i 0.122376 0.183148i −0.765224 0.643764i \(-0.777372\pi\)
0.887599 + 0.460617i \(0.152372\pi\)
\(758\) −2.67063 + 1.04110i −0.0970015 + 0.0378146i
\(759\) 50.6324 + 11.3453i 1.83784 + 0.411807i
\(760\) −29.6216 + 17.2006i −1.07449 + 0.623931i
\(761\) 2.07072 0.857719i 0.0750635 0.0310923i −0.344836 0.938663i \(-0.612065\pi\)
0.419899 + 0.907571i \(0.362065\pi\)
\(762\) 43.5718 + 32.0444i 1.57844 + 1.16084i
\(763\) −1.88069 9.45486i −0.0680855 0.342289i
\(764\) 3.73410 1.36613i 0.135095 0.0494248i
\(765\) 3.84847 5.19911i 0.139142 0.187974i
\(766\) −5.94797 33.5696i −0.214909 1.21292i
\(767\) −5.88896 −0.212638
\(768\) −22.9747 + 15.4972i −0.829028 + 0.559206i
\(769\) 7.95821 0.286981 0.143490 0.989652i \(-0.454167\pi\)
0.143490 + 0.989652i \(0.454167\pi\)
\(770\) 5.56041 + 31.3822i 0.200383 + 1.13094i
\(771\) −26.7530 + 25.4946i −0.963487 + 0.918166i
\(772\) −22.5358 + 8.24476i −0.811080 + 0.296735i
\(773\) −3.37161 16.9502i −0.121268 0.609658i −0.992846