Properties

Label 192.2.s.a.59.16
Level $192$
Weight $2$
Character 192.59
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 59.16
Character \(\chi\) \(=\) 192.59
Dual form 192.2.s.a.179.16

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} + O(q^{10}) \) \( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.246732 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 −0.813367 0.581751i \(-0.802368\pi\)
0.974080 0.226205i \(-0.0726320\pi\)
\(6\) 1.45124 + 1.97330i 0.592465 + 0.805596i
\(7\) −3.05294 1.26457i −1.15390 0.477963i −0.278063 0.960563i \(-0.589693\pi\)
−0.875841 + 0.482600i \(0.839693\pi\)
\(8\) −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 −0.999995 0.00310847i \(-0.999011\pi\)
0.379810 0.925065i \(-0.375989\pi\)
\(12\) 3.10593 1.53401i 0.896606 0.442830i
\(13\) 0.534830 0.106384i 0.148335 0.0295057i −0.120364 0.992730i \(-0.538406\pi\)
0.268699 + 0.963224i \(0.413406\pi\)
\(14\) −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 0.599574 0.800319i \(-0.295337\pi\)
−0.800319 + 0.599574i \(0.795337\pi\)
\(18\) −4.20836 0.538216i −0.991921 0.126859i
\(19\) −6.44815 + 1.28262i −1.47931 + 0.294253i −0.867771 0.496964i \(-0.834448\pi\)
−0.611536 + 0.791216i \(0.709448\pi\)
\(20\) −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 0.573882 0.818938i \(-0.305437\pi\)
0.984872 + 0.173281i \(0.0554368\pi\)
\(24\) −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 0.515957 0.856615i \(-0.327436\pi\)
−0.593961 + 0.804494i \(0.702436\pi\)
\(30\) 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 −0.994368 0.105987i \(-0.966200\pi\)
0.959235 + 0.282609i \(0.0911999\pi\)
\(38\) 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 −0.875911 0.482472i \(-0.839739\pi\)
0.278204 0.960522i \(-0.410261\pi\)
\(42\) −1.93517 7.85956i −0.298603 1.21276i
\(43\) 3.05140 + 4.56674i 0.465334 + 0.696421i 0.987711 0.156293i \(-0.0499546\pi\)
−0.522377 + 0.852715i \(0.674955\pi\)
\(44\) 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 0.0943761 0.995537i \(-0.469914\pi\)
0.995537 0.0943761i \(-0.0300856\pi\)
\(48\) −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 −0.686780 0.726866i \(-0.740976\pi\)
0.408717 + 0.912661i \(0.365976\pi\)
\(54\) 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 −0.550719 0.834691i \(-0.685646\pi\)
−0.828220 + 0.560403i \(0.810646\pi\)
\(60\) −1.65524 6.16258i −0.213691 0.795586i
\(61\) 0.153998 + 0.102898i 0.0197175 + 0.0131748i 0.565390 0.824824i \(-0.308726\pi\)
−0.545672 + 0.837999i \(0.683726\pi\)
\(62\) 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 −0.736479 0.676460i \(-0.763513\pi\)
0.906806 + 0.421548i \(0.138513\pi\)
\(68\) 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 0.221161 + 0.975237i \(0.429015\pi\)
−0.845981 + 0.533213i \(0.820985\pi\)
\(72\) 7.53450 + 3.90273i 0.887950 + 0.459941i
\(73\) −3.57907 8.64064i −0.418899 1.01131i −0.982667 0.185378i \(-0.940649\pi\)
0.563769 0.825933i \(-0.309351\pi\)
\(74\) 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 0.134036 0.990976i \(-0.457206\pi\)
0.990976 0.134036i \(-0.0427939\pi\)
\(80\) 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 −0.947775 0.318941i \(-0.896673\pi\)
0.753576 0.657361i \(-0.228327\pi\)
\(84\) −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 0.532649 + 0.846336i \(0.321197\pi\)
−0.975090 + 0.221810i \(0.928803\pi\)
\(90\) −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 \(0.279027\pi\)
−0.639777 + 0.768561i \(0.720973\pi\)
\(98\) 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 0.399797 0.916604i \(-0.369081\pi\)
0.0185952 + 0.999827i \(0.494081\pi\)
\(102\) 0.432105 2.83446i 0.0427848 0.280653i
\(103\) −3.14426 + 7.59092i −0.309813 + 0.747956i 0.689897 + 0.723907i \(0.257656\pi\)
−0.999711 + 0.0240486i \(0.992344\pi\)
\(104\) −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 −0.425067 0.905162i \(-0.639750\pi\)
0.673594 + 0.739101i \(0.264750\pi\)
\(108\) −5.04527 9.08544i −0.485482 0.874247i
\(109\) −0.569133 2.86122i −0.0545130 0.274056i 0.943909 0.330205i \(-0.107118\pi\)
−0.998422 + 0.0561491i \(0.982118\pi\)
\(110\) 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 −0.369701 0.929151i \(-0.620540\pi\)
0.929151 + 0.369701i \(0.120540\pi\)
\(114\) −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 \(-0.564290\pi\)
0.200602 0.979673i \(-0.435710\pi\)
\(128\) −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 −0.0665400 0.997784i \(-0.521196\pi\)
−0.947296 + 0.320360i \(0.896196\pi\)
\(132\) −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 0.0254526 0.999676i \(-0.491897\pi\)
0.724875 + 0.688880i \(0.241897\pi\)
\(138\) 16.9590 + 10.2577i 1.44365 + 0.873197i
\(139\) 9.49037 6.34126i 0.804963 0.537859i −0.0836617 0.996494i \(-0.526662\pi\)
0.888625 + 0.458635i \(0.151662\pi\)
\(140\) 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 0.580012 0.814608i \(-0.303048\pi\)
−0.974561 + 0.224124i \(0.928048\pi\)
\(150\) 0.941030 + 3.82193i 0.0768348 + 0.312059i
\(151\) 1.60104 + 3.86526i 0.130291 + 0.314551i 0.975540 0.219822i \(-0.0705478\pi\)
−0.845249 + 0.534373i \(0.820548\pi\)
\(152\) 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 −0.986770 0.162128i \(-0.948164\pi\)
0.527407 + 0.849613i \(0.323164\pi\)
\(158\) −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 0.578939 0.815371i \(-0.303467\pi\)
−0.531754 + 0.846899i \(0.678467\pi\)
\(164\) 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 0.501145 0.865363i \(-0.332912\pi\)
−0.257541 + 0.966267i \(0.582912\pi\)
\(168\) −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 −0.198161 0.980170i \(-0.563497\pi\)
0.192018 + 0.981391i \(0.438497\pi\)
\(174\) −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 0.411563 0.911381i \(-0.364983\pi\)
0.729005 + 0.684508i \(0.239983\pi\)
\(180\) 9.70499 + 5.28819i 0.723367 + 0.394158i
\(181\) 9.09877 + 13.6173i 0.676306 + 1.01216i 0.997867 + 0.0652752i \(0.0207925\pi\)
−0.321561 + 0.946889i \(0.604207\pi\)
\(182\) −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 −0.958814 0.284036i \(-0.908327\pi\)
0.994524 + 0.104508i \(0.0333266\pi\)
\(198\) 6.99943 + 14.0621i 0.497428 + 0.999350i
\(199\) 1.03878 + 0.430275i 0.0736368 + 0.0305014i 0.419198 0.907895i \(-0.362311\pi\)
−0.345561 + 0.938396i \(0.612311\pi\)
\(200\) −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 0.315924 0.948784i \(-0.397685\pi\)
0.654960 + 0.755663i \(0.272685\pi\)
\(212\) 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 −1.00000 0.000135074i \(-0.999957\pi\)
0.382808 + 0.923828i \(0.374957\pi\)
\(228\) −18.0600 + 13.8752i −1.19605 + 0.918910i
\(229\) −1.72964 + 8.69549i −0.114298 + 0.574614i 0.880611 + 0.473839i \(0.157132\pi\)
−0.994909 + 0.100775i \(0.967868\pi\)
\(230\) −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 0.999914 + 0.0131185i \(0.00417587\pi\)
−0.697770 + 0.716322i \(0.745824\pi\)
\(234\) −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 −0.160781 0.986990i \(-0.551401\pi\)
0.986990 + 0.160781i \(0.0514014\pi\)
\(240\) −1.12573 + 12.7123i −0.0726655 + 0.820573i
\(241\) −1.12018 1.12018i −0.0721574 0.0721574i 0.670107 0.742264i \(-0.266248\pi\)
−0.742264 + 0.670107i \(0.766248\pi\)
\(242\) 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 0.348946 0.937143i \(-0.386540\pi\)
−0.0362446 + 0.999343i \(0.511540\pi\)
\(252\) 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 \(0.231764\pi\)
−0.746435 + 0.665458i \(0.768236\pi\)
\(258\) −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 −0.884781 0.466007i \(-0.845692\pi\)
0.955151 + 0.296118i \(0.0956921\pi\)
\(264\) −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 −0.964502 0.264075i \(-0.914933\pi\)
0.790026 0.613073i \(-0.210067\pi\)
\(270\) −6.32178 11.9692i −0.384731 0.728425i
\(271\) −14.9476 + 14.9476i −0.907999 + 0.907999i −0.996111 0.0881113i \(-0.971917\pi\)
0.0881113 + 0.996111i \(0.471917\pi\)
\(272\) −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 −0.530711 0.847553i \(-0.678075\pi\)
0.579942 + 0.814658i \(0.303075\pi\)
\(278\) −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 0.679976 + 0.733234i \(0.261990\pi\)
−0.999291 + 0.0376590i \(0.988010\pi\)
\(282\) 25.5884 + 3.90088i 1.52376 + 0.232294i
\(283\) −2.79329 0.555619i −0.166044 0.0330281i 0.111368 0.993779i \(-0.464477\pi\)
−0.277412 + 0.960751i \(0.589477\pi\)
\(284\) 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 0.935771 0.352609i \(-0.114706\pi\)
0.729602 + 0.683872i \(0.239706\pi\)
\(294\) −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 0.972165 + 0.234296i \(0.0752786\pi\)
−0.808502 + 0.588493i \(0.799721\pi\)
\(308\) 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 0.969654 0.244481i \(-0.0786176\pi\)
−0.858523 + 0.512775i \(0.828618\pi\)
\(312\) −1.23300 2.36989i −0.0698049 0.134168i
\(313\) −0.752332 + 1.81629i −0.0425243 + 0.102663i −0.943715 0.330761i \(-0.892695\pi\)
0.901190 + 0.433424i \(0.142695\pi\)
\(314\) 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 −0.607918 0.794000i \(-0.707995\pi\)
0.966200 + 0.257792i \(0.0829950\pi\)
\(318\) −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 −0.567141 + 0.823621i \(0.691950\pi\)
−0.977962 + 0.208784i \(0.933050\pi\)
\(332\) −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 −0.773934 0.633266i \(-0.781714\pi\)
0.633266 + 0.773934i \(0.281714\pi\)
\(338\) 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 0.399569 + 0.916703i \(0.369160\pi\)
−0.719961 + 0.694015i \(0.755840\pi\)
\(348\) −1.73525 0.227385i −0.0930190 0.0121891i
\(349\) 6.31423 9.44991i 0.337993 0.505842i −0.623072 0.782164i \(-0.714116\pi\)
0.961065 + 0.276322i \(0.0891157\pi\)
\(350\) −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 −0.149326 0.988788i \(-0.547710\pi\)
−0.804768 + 0.593590i \(0.797710\pi\)
\(360\) 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 0.662396 0.749154i \(-0.269540\pi\)
−0.749154 + 0.662396i \(0.769540\pi\)
\(368\) 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 0.912956 0.408059i \(-0.133794\pi\)
−0.726370 + 0.687304i \(0.758794\pi\)
\(374\) 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 −0.969300 0.245881i \(-0.920923\pi\)
0.989611 + 0.143770i \(0.0459226\pi\)
\(380\) 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 −0.162587 0.986694i \(-0.551984\pi\)
0.527802 0.849367i \(-0.323016\pi\)
\(390\) 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 0.633173 0.774011i \(-0.281752\pi\)
0.881176 + 0.472788i \(0.156752\pi\)
\(398\) 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 0.897546 0.440920i \(-0.145348\pi\)
−0.440920 + 0.897546i \(0.645348\pi\)
\(402\) 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 −0.352069 0.935974i \(-0.614522\pi\)
−0.910784 + 0.412883i \(0.864522\pi\)
\(410\) 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 −0.994952 0.100356i \(-0.968002\pi\)
0.473468 + 0.880811i \(0.343002\pi\)
\(420\) −2.73965 + 20.9072i −0.133681 + 1.02017i
\(421\) 4.39818 22.1111i 0.214354 1.07763i −0.712346 0.701829i \(-0.752367\pi\)
0.926700 0.375802i \(-0.122633\pi\)
\(422\) −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 −0.918527 0.395359i \(-0.870620\pi\)
0.395359 + 0.918527i \(0.370620\pi\)
\(432\) 3.23311 + 20.5316i 0.155553 + 0.987828i
\(433\) 6.03352 + 6.03352i 0.289952 + 0.289952i 0.837061 0.547109i \(-0.184272\pi\)
−0.547109 + 0.837061i \(0.684272\pi\)
\(434\) −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 −0.0689894 0.997617i \(-0.521977\pi\)
0.656639 + 0.754205i \(0.271977\pi\)
\(440\) 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 0.994705 0.102774i \(-0.0327717\pi\)
0.879658 + 0.475607i \(0.157772\pi\)
\(444\) 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 \(-0.952659\pi\)
0.988961 0.148178i \(-0.0473407\pi\)
\(450\) −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 0.836704 0.547656i \(-0.184480\pi\)
−0.978890 + 0.204388i \(0.934480\pi\)
\(458\) 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 −0.944765 0.327749i \(-0.893710\pi\)
0.747425 0.664347i \(-0.231290\pi\)
\(462\) −20.2144 + 22.1237i −0.940459 + 1.02929i
\(463\) 24.9132 24.9132i 1.15781 1.15781i 0.172869 0.984945i \(-0.444696\pi\)
0.984945 0.172869i \(-0.0553036\pi\)
\(464\) −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 −0.928808 0.370562i \(-0.879165\pi\)
0.716299 0.697794i \(-0.245835\pi\)
\(468\) −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 \(-0.874137\pi\)
0.922838 0.385187i \(-0.125863\pi\)
\(480\) 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 −0.998202 0.0599357i \(-0.980910\pi\)
0.748216 + 0.663455i \(0.230910\pi\)
\(488\) −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 −0.357360 0.933967i \(-0.616323\pi\)
0.726117 + 0.687571i \(0.241323\pi\)
\(492\) −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 0.968223 + 0.250089i \(0.0804599\pi\)
−0.798816 + 0.601575i \(0.794540\pi\)
\(500\) −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 0.787755 0.615989i \(-0.211243\pi\)
−0.992597 + 0.121457i \(0.961243\pi\)
\(504\) −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 −0.396754 0.917925i \(-0.629863\pi\)
0.999883 + 0.0152784i \(0.00486345\pi\)
\(510\) −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 −0.585822 0.810440i \(-0.699228\pi\)
0.158829 + 0.987306i \(0.449228\pi\)
\(522\) 1.61671 + 1.40727i 0.0707615 + 0.0615947i
\(523\) 8.73360 5.83560i 0.381894 0.255173i −0.349775 0.936834i \(-0.613742\pi\)
0.731669 + 0.681661i \(0.238742\pi\)
\(524\) 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 0.0496911 0.998765i \(-0.484176\pi\)
0.903722 0.428119i \(-0.140824\pi\)
\(542\) 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 0.537487 0.843272i \(-0.319374\pi\)
−0.573395 + 0.819279i \(0.694374\pi\)
\(548\) −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 −0.806634 0.591052i \(-0.798713\pi\)
−0.519047 + 0.854746i \(0.673713\pi\)
\(558\) −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 −0.188091 0.982152i \(-0.560230\pi\)
0.202080 + 0.979369i \(0.435230\pi\)
\(564\) 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 0.468999 0.883199i \(-0.344615\pi\)
−0.292884 + 0.956148i \(0.594615\pi\)
\(570\) −23.8975 + 17.5751i −1.00096 + 0.736141i
\(571\) 6.40640 32.2071i 0.268099 1.34783i −0.578537 0.815656i \(-0.696376\pi\)
0.846637 0.532171i \(-0.178624\pi\)
\(572\) 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 0.665161 0.746700i \(-0.268363\pi\)
−0.944407 + 0.328779i \(0.893363\pi\)
\(588\) 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 0.377292 0.926094i \(-0.376855\pi\)
−0.926094 + 0.377292i \(0.876855\pi\)
\(594\) −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 −0.519954 0.854194i \(-0.674051\pi\)
0.236344 + 0.971670i \(0.424051\pi\)
\(600\) 0.858794 7.82516i 0.0350601 0.319461i
\(601\) 32.8120 + 13.5912i 1.33843 + 0.554395i 0.933048 0.359753i \(-0.117139\pi\)
0.405381 + 0.914148i \(0.367139\pi\)
\(602\) −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 0.744434 + 0.667696i \(0.232719\pi\)
−0.943284 + 0.331987i \(0.892281\pi\)
\(614\) 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 0.990262 0.139215i \(-0.0444578\pi\)
−0.798661 + 0.601782i \(0.794458\pi\)
\(618\) −19.5422 + 4.81166i −0.786104 + 0.193553i
\(619\) −1.24045 1.85647i −0.0498579 0.0746176i 0.805703 0.592319i \(-0.201788\pi\)
−0.855561 + 0.517702i \(0.826788\pi\)
\(620\) −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 −0.447272 0.894398i \(-0.647604\pi\)
0.316166 + 0.948704i \(0.397604\pi\)
\(632\) 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 \(-0.963444\pi\)
0.993413 0.114592i \(-0.0365560\pi\)
\(642\) 7.12043 + 2.58007i 0.281021 + 0.101827i
\(643\) 20.9923 31.4171i 0.827854 1.23897i −0.140672 0.990056i \(-0.544926\pi\)
0.968525 0.248915i \(-0.0800738\pi\)
\(644\) 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 −0.999323 0.0367789i \(-0.988290\pi\)
0.732635 + 0.680622i \(0.238290\pi\)
\(648\) 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 0.944029 0.329863i \(-0.107003\pi\)
−0.998402 + 0.0565103i \(0.982003\pi\)
\(654\) 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 −0.965751 0.259469i \(-0.916452\pi\)
0.792943 0.609296i \(-0.208548\pi\)
\(660\) −15.5662 + 17.7715i −0.605913 + 0.691753i
\(661\) −19.0702 + 12.7423i −0.741745 + 0.495618i −0.868114 0.496365i \(-0.834668\pi\)
0.126369 + 0.991983i \(0.459668\pi\)
\(662\) 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 \(-0.850921\pi\)
0.892316 0.451410i \(-0.149079\pi\)
\(674\) 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 0.0292050 0.999573i \(-0.490702\pi\)
−0.355538 + 0.934662i \(0.615702\pi\)
\(678\) 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 −0.576549 0.817063i \(-0.695601\pi\)
0.534232 + 0.845338i \(0.320601\pi\)
\(684\) 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 0.950587 + 0.310459i \(0.100483\pi\)
−0.759420 + 0.650600i \(0.774517\pi\)
\(692\) 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 −0.956676 0.291154i \(-0.905961\pi\)
0.635096 + 0.772434i \(0.280961\pi\)
\(702\) 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 −0.0969055 0.995294i \(-0.530894\pi\)
−0.470411 + 0.882447i \(0.655894\pi\)
\(710\) 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 0.878122 0.478436i \(-0.158796\pi\)
−0.478436 + 0.878122i \(0.658796\pi\)
\(720\) −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 0.896430 0.443185i \(-0.146152\pi\)
−0.947251 + 0.320492i \(0.896152\pi\)
\(728\) 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 −0.910644 0.413192i \(-0.864414\pi\)
0.730228 + 0.683204i \(0.239414\pi\)
\(734\) −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 0.939174 0.343441i \(-0.111592\pi\)
0.0421088 + 0.999113i \(0.486592\pi\)
\(740\) −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 0.969408 0.245455i \(-0.0789374\pi\)
0.511912 + 0.859038i \(0.328937\pi\)
\(744\) −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 0.997492 0.0707803i \(-0.0225489\pi\)
−0.0707803 + 0.997492i \(0.522549\pi\)
\(752\) 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 0.887599 0.460617i \(-0.152372\pi\)
−0.765224 + 0.643764i \(0.777372\pi\)
\(758\) −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 0.419899 0.907571i \(-0.362065\pi\)
−0.344836 + 0.938663i \(0.612065\pi\)
\(762\) 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