Properties

Label 192.2.s.a.59.15
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 59.15
Character \(\chi\) \(=\) 192.59
Dual form 192.2.s.a.179.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.246732 + 1.39252i) q^{2} +(-0.701166 + 1.58378i) q^{3} +(-1.87825 - 0.687161i) q^{4} +(-0.359364 + 1.80664i) q^{5} +(-2.03245 - 1.36716i) q^{6} +(-3.05294 - 1.26457i) q^{7} +(1.42031 - 2.44596i) q^{8} +(-2.01673 - 2.22099i) q^{9} +O(q^{10})\) \(q+(-0.246732 + 1.39252i) q^{2} +(-0.701166 + 1.58378i) q^{3} +(-1.87825 - 0.687161i) q^{4} +(-0.359364 + 1.80664i) q^{5} +(-2.03245 - 1.36716i) q^{6} +(-3.05294 - 1.26457i) q^{7} +(1.42031 - 2.44596i) q^{8} +(-2.01673 - 2.22099i) q^{9} +(-2.42713 - 0.946180i) q^{10} +(2.05692 + 3.07840i) q^{11} +(2.40528 - 2.49292i) q^{12} +(0.534830 - 0.106384i) q^{13} +(2.51420 - 3.93929i) q^{14} +(-2.60936 - 1.83591i) q^{15} +(3.05562 + 2.58132i) q^{16} +(0.827691 + 0.827691i) q^{17} +(3.59037 - 2.26036i) q^{18} +(-6.44815 + 1.28262i) q^{19} +(1.91643 - 3.14638i) q^{20} +(4.14342 - 3.94852i) q^{21} +(-4.79426 + 2.10477i) q^{22} +(-7.47552 + 3.09646i) q^{23} +(2.87799 + 3.96449i) q^{24} +(1.48458 + 0.614932i) q^{25} +(0.0161829 + 0.771012i) q^{26} +(4.93163 - 1.63679i) q^{27} +(4.86522 + 4.47304i) q^{28} +(0.420063 + 0.280677i) q^{29} +(3.20036 - 3.18061i) 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} +(2.26175 + 5.55738i) q^{36} +(-0.213702 + 1.07435i) q^{37} +(-0.195109 - 9.29567i) q^{38} +(-0.206515 + 0.921647i) q^{39} +(3.90857 + 3.44499i) q^{40} +(3.82720 + 9.23967i) q^{41} +(4.47610 + 6.74405i) q^{42} +(3.05140 + 4.56674i) q^{43} +(-1.74805 - 7.19543i) q^{44} +(4.73728 - 2.84538i) q^{45} +(-2.46745 - 11.1738i) q^{46} +(-7.47207 + 7.47207i) q^{47} +(-6.23074 + 3.02951i) q^{48} +(2.77158 + 2.77158i) q^{49} +(-1.22260 + 1.91559i) q^{50} +(-1.89123 + 0.730534i) q^{51} +(-1.07765 - 0.167698i) q^{52} +(2.02433 - 1.35261i) q^{53} +(1.06247 + 7.27126i) q^{54} +(-6.30076 + 2.60986i) q^{55} +(-7.42922 + 5.67129i) q^{56} +(2.48984 - 11.1118i) q^{57} +(-0.494492 + 0.515695i) q^{58} +(10.5918 + 2.10685i) q^{59} +(3.63945 + 5.24134i) 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} +(0.0280666 - 9.06886i) q^{66} +(1.39419 - 2.08655i) q^{67} +(-0.985851 - 2.12337i) q^{68} +(0.337457 - 14.0107i) q^{69} +(6.21338 + 5.95791i) q^{70} +(5.26483 - 12.7104i) q^{71} +(-8.29683 + 1.77835i) q^{72} +(-3.57907 - 8.64064i) q^{73} +(-1.44333 - 0.562662i) q^{74} +(-2.01485 + 1.92008i) q^{75} +(12.9926 + 2.02185i) q^{76} +(-2.38681 - 11.9993i) q^{77} +(-1.23246 - 0.514977i) q^{78} +(9.99933 - 9.99933i) q^{79} +(-5.76160 + 4.59279i) q^{80} +(-0.865574 + 8.95828i) q^{81} +(-13.8108 + 3.04974i) q^{82} +(1.76923 + 8.89454i) q^{83} +(-10.4956 + 4.56910i) q^{84} +(-1.79279 + 1.19790i) q^{85} +(-7.11217 + 3.12238i) q^{86} +(-0.739064 + 0.468487i) q^{87} +(10.4511 - 0.658856i) q^{88} +(4.17398 - 10.0769i) q^{89} +(2.79342 + 7.29882i) q^{90} +(-1.76734 - 0.351545i) q^{91} +(16.1686 - 0.679033i) q^{92} +(-1.95969 + 4.42651i) q^{93} +(-8.56143 - 12.2486i) q^{94} -12.1104i q^{95} +(-2.68134 - 9.42393i) q^{96} +15.1389i q^{97} +(-4.54333 + 3.17565i) q^{98} +(2.68883 - 10.7767i) 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
\(3\) −0.701166 + 1.58378i −0.404818 + 0.914397i
\(4\) −1.87825 0.687161i −0.939123 0.343580i
\(5\) −0.359364 + 1.80664i −0.160712 + 0.807956i 0.813367 + 0.581751i \(0.197632\pi\)
−0.974080 + 0.226205i \(0.927368\pi\)
\(6\) −2.03245 1.36716i −0.829746 0.558141i
\(7\) −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
\(9\) −2.01673 2.22099i −0.672244 0.740329i
\(10\) −2.42713 0.946180i −0.767525 0.299208i
\(11\) 2.05692 + 3.07840i 0.620185 + 0.928173i 0.999995 + 0.00310847i \(0.000989458\pi\)
−0.379810 + 0.925065i \(0.624011\pi\)
\(12\) 2.40528 2.49292i 0.694343 0.719644i
\(13\) 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
\(15\) −2.60936 1.83591i −0.673733 0.474030i
\(16\) 3.05562 + 2.58132i 0.763905 + 0.645329i
\(17\) 0.827691 + 0.827691i 0.200745 + 0.200745i 0.800319 0.599574i \(-0.204663\pi\)
−0.599574 + 0.800319i \(0.704663\pi\)
\(18\) 3.59037 2.26036i 0.846259 0.532772i
\(19\) −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
\(21\) 4.14342 3.94852i 0.904169 0.861639i
\(22\) −4.79426 + 2.10477i −1.02214 + 0.448739i
\(23\) −7.47552 + 3.09646i −1.55875 + 0.645657i −0.984872 0.173281i \(-0.944563\pi\)
−0.573882 + 0.818938i \(0.694563\pi\)
\(24\) 2.87799 + 3.96449i 0.587468 + 0.809248i
\(25\) 1.48458 + 0.614932i 0.296916 + 0.122986i
\(26\) 0.0161829 + 0.771012i 0.00317373 + 0.151208i
\(27\) 4.93163 1.63679i 0.949092 0.315000i
\(28\) 4.86522 + 4.47304i 0.919440 + 0.845325i
\(29\) 0.420063 + 0.280677i 0.0780037 + 0.0521204i 0.593961 0.804494i \(-0.297564\pi\)
−0.515957 + 0.856615i \(0.672564\pi\)
\(30\) 3.20036 3.18061i 0.584304 0.580698i
\(31\) 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
\(36\) 2.26175 + 5.55738i 0.376958 + 0.926230i
\(37\) −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
\(39\) −0.206515 + 0.921647i −0.0330688 + 0.147582i
\(40\) 3.90857 + 3.44499i 0.617999 + 0.544700i
\(41\) 3.82720 + 9.23967i 0.597708 + 1.44299i 0.875911 + 0.482472i \(0.160261\pi\)
−0.278204 + 0.960522i \(0.589739\pi\)
\(42\) 4.47610 + 6.74405i 0.690677 + 1.04063i
\(43\) 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
\(45\) 4.73728 2.84538i 0.706191 0.424164i
\(46\) −2.46745 11.1738i −0.363805 1.64749i
\(47\) −7.47207 + 7.47207i −1.08991 + 1.08991i −0.0943761 + 0.995537i \(0.530086\pi\)
−0.995537 + 0.0943761i \(0.969914\pi\)
\(48\) −6.23074 + 3.02951i −0.899329 + 0.437272i
\(49\) 2.77158 + 2.77158i 0.395940 + 0.395940i
\(50\) −1.22260 + 1.91559i −0.172902 + 0.270905i
\(51\) −1.89123 + 0.730534i −0.264825 + 0.102295i
\(52\) −1.07765 0.167698i −0.149443 0.0232556i
\(53\) 2.02433 1.35261i 0.278063 0.185796i −0.408717 0.912661i \(-0.634024\pi\)
0.686780 + 0.726866i \(0.259024\pi\)
\(54\) 1.06247 + 7.27126i 0.144584 + 0.989492i
\(55\) −6.30076 + 2.60986i −0.849594 + 0.351913i
\(56\) −7.42922 + 5.67129i −0.992771 + 0.757858i
\(57\) 2.48984 11.1118i 0.329787 1.47179i
\(58\) −0.494492 + 0.515695i −0.0649300 + 0.0677141i
\(59\) 10.5918 + 2.10685i 1.37894 + 0.274288i 0.828220 0.560403i \(-0.189354\pi\)
0.550719 + 0.834691i \(0.314354\pi\)
\(60\) 3.63945 + 5.24134i 0.469851 + 0.676654i
\(61\) 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
\(66\) 0.0280666 9.06886i 0.00345476 1.11630i
\(67\) 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
\(69\) 0.337457 14.0107i 0.0406251 1.68669i
\(70\) 6.21338 + 5.95791i 0.742640 + 0.712106i
\(71\) 5.26483 12.7104i 0.624820 1.50845i −0.221161 0.975237i \(-0.570985\pi\)
0.845981 0.533213i \(-0.179015\pi\)
\(72\) −8.29683 + 1.77835i −0.977791 + 0.209581i
\(73\) −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
\(75\) −2.01485 + 1.92008i −0.232655 + 0.221712i
\(76\) 12.9926 + 2.02185i 1.49035 + 0.231922i
\(77\) −2.38681 11.9993i −0.272002 1.36745i
\(78\) −1.23246 0.514977i −0.139549 0.0583097i
\(79\) 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
\(81\) −0.865574 + 8.95828i −0.0961749 + 0.995364i
\(82\) −13.8108 + 3.04974i −1.52514 + 0.336787i
\(83\) 1.76923 + 8.89454i 0.194199 + 0.976302i 0.947775 + 0.318941i \(0.103327\pi\)
−0.753576 + 0.657361i \(0.771673\pi\)
\(84\) −10.4956 + 4.56910i −1.14517 + 0.498530i
\(85\) −1.79279 + 1.19790i −0.194455 + 0.129931i
\(86\) −7.11217 + 3.12238i −0.766925 + 0.336695i
\(87\) −0.739064 + 0.468487i −0.0792360 + 0.0502270i
\(88\) 10.4511 0.658856i 1.11409 0.0702343i
\(89\) 4.17398 10.0769i 0.442441 1.06815i −0.532649 0.846336i \(-0.678803\pi\)
0.975090 0.221810i \(-0.0711965\pi\)
\(90\) 2.79342 + 7.29882i 0.294452 + 0.769363i
\(91\) −1.76734 0.351545i −0.185267 0.0368519i
\(92\) 16.1686 0.679033i 1.68570 0.0707941i
\(93\) −1.95969 + 4.42651i −0.203210 + 0.459008i
\(94\) −8.56143 12.2486i −0.883044 1.26335i
\(95\) 12.1104i 1.24250i
\(96\) −2.68134 9.42393i −0.273663 0.961826i
\(97\) 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
\(99\) 2.68883 10.7767i 0.270238 1.08310i
\(100\) −2.36585 2.17514i −0.236585 0.217514i
\(101\) −4.20479 0.836385i −0.418392 0.0832234i −0.0185952 0.999827i \(-0.505919\pi\)
−0.399797 + 0.916604i \(0.630919\pi\)
\(102\) −0.550659 2.81383i −0.0545233 0.278611i
\(103\) −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
\(105\) 5.64458 + 8.90465i 0.550855 + 0.869005i
\(106\) 1.38408 + 3.15266i 0.134434 + 0.306213i
\(107\) −2.57078 + 1.71774i −0.248527 + 0.166060i −0.673594 0.739101i \(-0.735250\pi\)
0.425067 + 0.905162i \(0.360250\pi\)
\(108\) −10.3875 0.314533i −0.999542 0.0302660i
\(109\) −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
\(111\) −1.55170 1.09175i −0.147281 0.103625i
\(112\) −6.06438 11.7447i −0.573030 1.10977i
\(113\) −5.94703 + 5.94703i −0.559449 + 0.559449i −0.929151 0.369701i \(-0.879460\pi\)
0.369701 + 0.929151i \(0.379460\pi\)
\(114\) 14.8591 + 6.20879i 1.39168 + 0.581507i
\(115\) −2.90777 14.6184i −0.271151 1.36317i
\(116\) −0.596111 0.815831i −0.0553475 0.0757480i
\(117\) −1.31489 0.973302i −0.121561 0.0899818i
\(118\) −5.54718 + 14.2295i −0.510659 + 1.30994i
\(119\) −1.48022 3.57357i −0.135692 0.327589i
\(120\) −8.19666 + 3.77481i −0.748250 + 0.344592i
\(121\) −1.03611 + 2.50139i −0.0941919 + 0.227399i
\(122\) −0.181285 + 0.189058i −0.0164128 + 0.0171165i
\(123\) −17.3171 0.417093i −1.56143 0.0376080i
\(124\) −5.24951 1.92054i −0.471420 0.172470i
\(125\) −6.76137 + 10.1191i −0.604756 + 0.905081i
\(126\) −13.8196 + 2.36047i −1.23115 + 0.210288i
\(127\) 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 0.947296 0.320360i \(-0.103804\pi\)
0.0665400 + 0.997784i \(0.478804\pi\)
\(132\) 12.6217 + 2.27666i 1.09858 + 0.198158i
\(133\) 21.3078 + 4.23839i 1.84762 + 0.367515i
\(134\) 2.56158 + 2.45626i 0.221287 + 0.212188i
\(135\) 1.18484 + 9.49789i 0.101975 + 0.817449i
\(136\) 3.20008 0.848919i 0.274404 0.0727942i
\(137\) −8.78236 + 3.63777i −0.750328 + 0.310796i −0.724875 0.688880i \(-0.758103\pi\)
−0.0254526 + 0.999676i \(0.508103\pi\)
\(138\) 19.4270 + 3.92682i 1.65374 + 0.334273i
\(139\) 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
\(141\) −6.59497 17.0733i −0.555397 1.43783i
\(142\) 16.4006 + 10.4675i 1.37631 + 0.878411i
\(143\) 1.42760 + 1.42760i 0.119382 + 0.119382i
\(144\) −0.429299 11.9923i −0.0357749 0.999360i
\(145\) −0.658038 + 0.658038i −0.0546471 + 0.0546471i
\(146\) 12.9154 2.85202i 1.06888 0.236035i
\(147\) −6.33291 + 2.44624i −0.522330 + 0.201763i
\(148\) 1.13964 1.87105i 0.0936775 0.153799i
\(149\) 4.81608 + 7.20777i 0.394548 + 0.590484i 0.974561 0.224124i \(-0.0719522\pi\)
−0.580012 + 0.814608i \(0.696952\pi\)
\(150\) −2.17663 3.27948i −0.177721 0.267768i
\(151\) 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
\(153\) 0.169060 3.50752i 0.0136677 0.283567i
\(154\) 17.2982 0.363076i 1.39393 0.0292575i
\(155\) −1.00438 + 5.04938i −0.0806741 + 0.405576i
\(156\) 1.02121 1.58917i 0.0817619 0.127236i
\(157\) −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
\(162\) −12.2611 3.41563i −0.963319 0.268357i
\(163\) 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
\(165\) 0.284426 11.8090i 0.0221426 0.919328i
\(166\) −12.8224 + 0.269132i −0.995210 + 0.0208887i
\(167\) −3.14806 1.30397i −0.243604 0.100904i 0.257541 0.966267i \(-0.417088\pi\)
−0.501145 + 0.865363i \(0.667088\pi\)
\(168\) −3.77297 15.7428i −0.291091 1.21458i
\(169\) −11.7357 + 4.86109i −0.902747 + 0.373930i
\(170\) −1.22577 2.79206i −0.0940121 0.214141i
\(171\) 15.8529 + 11.7346i 1.21230 + 0.897365i
\(172\) −2.59319 10.6743i −0.197729 0.813905i
\(173\) 0.0807891 0.0160700i 0.00614228 0.00122178i −0.192018 0.981391i \(-0.561503\pi\)
0.198161 + 0.980170i \(0.436503\pi\)
\(174\) −0.470028 1.14476i −0.0356327 0.0867837i
\(175\) −3.75471 3.75471i −0.283829 0.283829i
\(176\) −1.66115 + 14.7160i −0.125214 + 1.10926i
\(177\) −10.7634 + 15.2979i −0.809028 + 1.14986i
\(178\) 13.0024 + 8.29865i 0.974573 + 0.622010i
\(179\) −15.2598 + 3.03535i −1.14057 + 0.226873i −0.729005 0.684508i \(-0.760017\pi\)
−0.411563 + 0.911381i \(0.635017\pi\)
\(180\) −10.8530 + 2.08905i −0.808935 + 0.155708i
\(181\) 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
\(183\) −0.270947 + 0.171751i −0.0200290 + 0.0126962i
\(184\) −3.04376 + 22.6828i −0.224389 + 1.67220i
\(185\) −1.86417 0.772166i −0.137057 0.0567708i
\(186\) −5.68050 3.82107i −0.416515 0.280175i
\(187\) −0.845470 + 4.25046i −0.0618269 + 0.310825i
\(188\) 19.1689 8.89987i 1.39804 0.649090i
\(189\) −17.1258 1.23937i −1.24572 0.0901512i
\(190\) 16.8641 + 2.98804i 1.22345 + 0.216775i
\(191\) 1.98808 0.143852 0.0719260 0.997410i \(-0.477085\pi\)
0.0719260 + 0.997410i \(0.477085\pi\)
\(192\) 13.7846 1.40864i 0.994819 0.101660i
\(193\) 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
\(195\) −1.59087 0.704306i −0.113925 0.0504364i
\(196\) −3.30119 7.11023i −0.235799 0.507873i
\(197\) −0.501219 + 2.51980i −0.0357103 + 0.179528i −0.994524 0.104508i \(-0.966673\pi\)
0.958814 + 0.284036i \(0.0916734\pi\)
\(198\) 14.3434 + 6.40322i 1.01934 + 0.455057i
\(199\) 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
\(201\) 2.32708 + 3.67111i 0.164140 + 0.258940i
\(202\) 2.20214 5.64891i 0.154942 0.397456i
\(203\) −0.927492 1.38809i −0.0650972 0.0974248i
\(204\) 4.05419 0.0725425i 0.283850 0.00507899i
\(205\) −18.0682 + 3.59398i −1.26193 + 0.251014i
\(206\) −9.79475 6.25139i −0.682433 0.435555i
\(207\) 21.9533 + 10.3583i 1.52586 + 0.719952i
\(208\) 1.90885 + 1.05549i 0.132355 + 0.0731854i
\(209\) −17.2118 17.2118i −1.19056 1.19056i
\(210\) −13.7926 + 5.66315i −0.951782 + 0.390795i
\(211\) 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
\(213\) 16.4390 + 17.2505i 1.12638 + 1.18198i
\(214\) −1.75770 4.00370i −0.120154 0.273687i
\(215\) −9.34703 + 3.87167i −0.637462 + 0.264046i
\(216\) 3.00094 14.3873i 0.204188 0.978932i
\(217\) −8.53266 3.53434i −0.579235 0.239927i
\(218\) 4.12475 0.0865751i 0.279363 0.00586361i
\(219\) 16.1944 + 0.390052i 1.09432 + 0.0263573i
\(220\) 13.6278 0.572324i 0.918784 0.0385861i
\(221\) 0.530727 + 0.354621i 0.0357006 + 0.0238544i
\(222\) 1.90315 1.89141i 0.127731 0.126943i
\(223\) 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 \(-0.625043\pi\)
1.00000 0.000135074i \(4.29954e-5\pi\)
\(228\) −12.3121 + 19.1598i −0.815390 + 1.26889i
\(229\) −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
\(231\) 20.6778 + 4.63332i 1.36050 + 0.304850i
\(232\) 1.28314 0.628807i 0.0842425 0.0412832i
\(233\) −4.61203 11.1344i −0.302144 0.729441i −0.999914 0.0131185i \(-0.995824\pi\)
0.697770 0.716322i \(-0.254176\pi\)
\(234\) 1.67977 1.59087i 0.109810 0.103998i
\(235\) −10.8142 16.1846i −0.705439 1.05576i
\(236\) −18.4463 11.2355i −1.20075 0.731367i
\(237\) 8.82558 + 22.8480i 0.573283 + 1.48413i
\(238\) 5.34150 1.17953i 0.346238 0.0764575i
\(239\) −12.7729 + 12.7729i −0.826209 + 0.826209i −0.986990 0.160781i \(-0.948599\pi\)
0.160781 + 0.986990i \(0.448599\pi\)
\(240\) −3.23414 12.3454i −0.208763 0.796893i
\(241\) −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
\(243\) −13.5811 7.65212i −0.871225 0.490884i
\(244\) −0.218539 0.299090i −0.0139905 0.0191473i
\(245\) −6.00326 + 4.01125i −0.383534 + 0.256269i
\(246\) 4.85351 24.0116i 0.309448 1.53092i
\(247\) −3.31221 + 1.37196i −0.210751 + 0.0872960i
\(248\) 3.96963 6.83620i 0.252072 0.434099i
\(249\) −15.3275 3.43446i −0.971343 0.217650i
\(250\) −12.4229 11.9121i −0.785691 0.753387i
\(251\) −4.95413 0.985437i −0.312702 0.0622002i 0.0362446 0.999343i \(-0.488460\pi\)
−0.348946 + 0.937143i \(0.613460\pi\)
\(252\) 0.122721 19.8265i 0.00773069 1.24895i
\(253\) −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 \(-0.231764\pi\)
\(258\) 0.0416362 13.4534i 0.00259216 0.837575i
\(259\) 2.01101 3.00969i 0.124958 0.187013i
\(260\) 0.690238 1.88666i 0.0428068 0.117006i
\(261\) −0.223774 1.49900i −0.0138513 0.0927860i
\(262\) −13.6599 + 14.2457i −0.843914 + 0.880099i
\(263\) −1.14122 + 2.75514i −0.0703705 + 0.169889i −0.955151 0.296118i \(-0.904308\pi\)
0.884781 + 0.466007i \(0.154308\pi\)
\(264\) −6.28448 + 17.0143i −0.386783 + 1.04716i
\(265\) 1.71622 + 4.14332i 0.105426 + 0.254522i
\(266\) −11.1594 + 28.6259i −0.684225 + 1.75517i
\(267\) 13.0329 + 13.6762i 0.797602 + 0.836972i
\(268\) −4.05242 + 2.96102i −0.247541 + 0.180873i
\(269\) 2.86161 + 14.3863i 0.174476 + 0.877148i 0.964502 + 0.264075i \(0.0850668\pi\)
−0.790026 + 0.613073i \(0.789933\pi\)
\(270\) −13.5184 0.693516i −0.822703 0.0422060i
\(271\) −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
\(273\) 1.79597 2.55258i 0.108697 0.154489i
\(274\) −2.89880 13.1272i −0.175123 0.793044i
\(275\) 1.16065 + 5.83499i 0.0699900 + 0.351863i
\(276\) −10.2615 + 26.0837i −0.617667 + 1.57006i
\(277\) 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
\(279\) −5.63656 6.20743i −0.337452 0.371629i
\(280\) −7.57621 15.4600i −0.452765 0.923912i
\(281\) 5.35268 12.9225i 0.319314 0.770893i −0.679976 0.733234i \(-0.738010\pi\)
0.999291 0.0376590i \(-0.0119901\pi\)
\(282\) 25.4021 4.97113i 1.51268 0.296026i
\(283\) −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
\(285\) 19.1803 + 8.49143i 1.13614 + 0.502989i
\(286\) −2.34020 + 1.63573i −0.138379 + 0.0967227i
\(287\) 33.0480i 1.95076i
\(288\) 16.8055 + 2.36108i 0.990274 + 0.139128i
\(289\) 15.6299i 0.919403i
\(290\) −0.753975 1.07869i −0.0442749 0.0633431i
\(291\) −23.9767 10.6149i −1.40554 0.622255i
\(292\) 0.784866 + 18.6887i 0.0459308 + 1.09367i
\(293\) −28.5066 5.67031i −1.66537 0.331263i −0.729602 0.683872i \(-0.760294\pi\)
−0.935771 + 0.352609i \(0.885294\pi\)
\(294\) −1.84392 9.42230i −0.107539 0.549520i
\(295\) −7.61264 + 18.3785i −0.443225 + 1.07004i
\(296\) 2.32429 + 2.04862i 0.135097 + 0.119074i
\(297\) 15.1827 + 11.8148i 0.880987 + 0.685563i
\(298\) −11.2253 + 4.92812i −0.650263 + 0.285478i
\(299\) −3.66872 + 2.45136i −0.212168 + 0.141766i
\(300\) 5.10379 2.22185i 0.294668 0.128279i
\(301\) −3.54078 17.8007i −0.204087 1.02602i
\(302\) −5.77750 + 1.27581i −0.332458 + 0.0734145i
\(303\) 4.27291 6.07303i 0.245472 0.348886i
\(304\) −23.0139 12.7255i −1.31994 0.729859i
\(305\) −0.241242 + 0.241242i −0.0138135 + 0.0138135i
\(306\) 4.84260 + 1.10084i 0.276833 + 0.0629308i
\(307\) 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
\(309\) −9.81772 10.3023i −0.558510 0.586079i
\(310\) −6.78357 2.64448i −0.385281 0.150196i
\(311\) −1.95981 4.73141i −0.111131 0.268294i 0.858523 0.512775i \(-0.171382\pi\)
−0.969654 + 0.244481i \(0.921382\pi\)
\(312\) 1.96100 + 1.81415i 0.111020 + 0.102706i
\(313\) −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
\(315\) −18.0608 + 2.69615i −1.01761 + 0.151911i
\(316\) −25.6524 + 11.9101i −1.44306 + 0.669993i
\(317\) −6.37904 + 9.54690i −0.358282 + 0.536208i −0.966200 0.257792i \(-0.917005\pi\)
0.607918 + 0.794000i \(0.292005\pi\)
\(318\) −5.96359 0.0184563i −0.334422 0.00103498i
\(319\) 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
\(324\) 7.78154 16.2311i 0.432308 0.901726i
\(325\) 0.859416 + 0.170948i 0.0476718 + 0.00948251i
\(326\) −0.709155 + 0.739562i −0.0392764 + 0.0409605i
\(327\) 4.93061 + 1.10481i 0.272663 + 0.0610961i
\(328\) 28.0357 + 3.76205i 1.54801 + 0.207724i
\(329\) 32.2607 13.3628i 1.77859 0.736717i
\(330\) 16.3741 + 3.30973i 0.901365 + 0.182194i
\(331\) −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
\(333\) 2.81710 1.69205i 0.154376 0.0927238i
\(334\) 2.59254 4.06202i 0.141857 0.222264i
\(335\) 3.26863 + 3.26863i 0.178584 + 0.178584i
\(336\) 22.8531 1.36970i 1.24674 0.0747235i
\(337\) −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
\(339\) −5.24895 13.5887i −0.285084 0.738034i
\(340\) 4.19044 1.01802i 0.227259 0.0552099i
\(341\) 5.74889 + 8.60382i 0.311320 + 0.465923i
\(342\) −20.2521 + 19.1802i −1.09511 + 1.03715i
\(343\) 3.89538 + 9.40427i 0.210331 + 0.507783i
\(344\) 15.5040 0.977398i 0.835919 0.0526978i
\(345\) 25.1911 + 5.64462i 1.35625 + 0.303896i
\(346\) 0.00244452 + 0.116466i 0.000131418 + 0.00626124i
\(347\) 5.96824 30.0043i 0.320392 1.61072i −0.399569 0.916703i \(-0.630840\pi\)
0.719961 0.694015i \(-0.244160\pi\)
\(348\) 1.71007 0.372077i 0.0916694 0.0199454i
\(349\) 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 \(-0.333815\pi\)
0.498690 + 0.866781i \(0.333815\pi\)
\(354\) −18.6470 18.7628i −0.991078 0.997231i
\(355\) 21.0712 + 14.0793i 1.11834 + 0.747254i
\(356\) −14.7642 + 16.0587i −0.782500 + 0.851107i
\(357\) 6.69764 + 0.161317i 0.354476 + 0.00853778i
\(358\) −0.461731 21.9985i −0.0244032 1.16266i
\(359\) 18.0775 + 7.48794i 0.954094 + 0.395199i 0.804768 0.593590i \(-0.202290\pi\)
0.149326 + 0.988788i \(0.452290\pi\)
\(360\) −0.231263 15.6285i −0.0121887 0.823694i
\(361\) 22.3798 9.27003i 1.17789 0.487896i
\(362\) −21.2073 + 9.31044i −1.11463 + 0.489346i
\(363\) −3.23518 3.39486i −0.169803 0.178184i
\(364\) 3.07793 + 1.87473i 0.161327 + 0.0982627i
\(365\) 16.8968 3.36097i 0.884417 0.175921i
\(366\) −0.172316 0.419677i −0.00900711 0.0219369i
\(367\) −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
\(369\) 12.8028 27.1341i 0.666485 1.41255i
\(370\) 1.53521 2.40539i 0.0798118 0.125050i
\(371\) −7.89063 + 1.56954i −0.409661 + 0.0814867i
\(372\) 6.72250 6.96745i 0.348545 0.361246i
\(373\) 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
\(375\) −11.2856 17.8037i −0.582787 0.919380i
\(376\) 7.66370 + 28.8890i 0.395225 + 1.48984i
\(377\) 0.254522 + 0.105426i 0.0131085 + 0.00542973i
\(378\) 5.95135 23.5423i 0.306104 1.21089i
\(379\) 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
\(381\) 34.9710 + 15.4822i 1.79162 + 0.793179i
\(382\) −0.490522 + 2.76844i −0.0250973 + 0.141646i
\(383\) 24.1070 1.23181 0.615905 0.787821i \(-0.288791\pi\)
0.615905 + 0.787821i \(0.288791\pi\)
\(384\) −1.43954 + 19.5430i −0.0734614 + 0.997298i
\(385\) 22.5362 1.14855
\(386\) −2.96037 + 16.7079i −0.150679 + 0.850410i
\(387\) 3.98882 15.9870i 0.202763 0.812666i
\(388\) 10.4029 28.4346i 0.528125 1.44355i
\(389\) −7.20317 + 36.2128i −0.365215 + 1.83606i 0.162587 + 0.986694i \(0.448016\pi\)
−0.527802 + 0.849367i \(0.676984\pi\)
\(390\) 1.37328 2.04156i 0.0695389 0.103378i
\(391\) −8.75034 3.62451i −0.442524 0.183299i
\(392\) 10.7157 2.84266i 0.541223 0.143576i
\(393\) −20.4160 + 12.9416i −1.02985 + 0.652815i
\(394\) −3.38521 1.31967i −0.170544 0.0664842i
\(395\) 14.4718 + 21.6586i 0.728157 + 1.08976i
\(396\) −12.4556 + 18.3937i −0.625919 + 0.924317i
\(397\) 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
\(399\) −21.6530 + 30.7751i −1.08400 + 1.54068i
\(400\) 2.94897 + 5.71116i 0.147449 + 0.285558i
\(401\) −9.14394 9.14394i −0.456626 0.456626i 0.440920 0.897546i \(-0.354652\pi\)
−0.897546 + 0.440920i \(0.854652\pi\)
\(402\) −5.68627 + 2.33474i −0.283605 + 0.116446i
\(403\) 1.49479 0.297333i 0.0744610 0.0148112i
\(404\) 7.32290 + 4.46030i 0.364328 + 0.221908i
\(405\) −15.8734 4.78307i −0.788754 0.237672i
\(406\) 2.16179 0.949068i 0.107288 0.0471015i
\(407\) −3.74685 + 1.55200i −0.185725 + 0.0769296i
\(408\) −0.899283 + 5.66346i −0.0445211 + 0.280383i
\(409\) −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
\(411\) 0.396450 16.4600i 0.0195554 0.811914i
\(412\) 11.1219 12.0970i 0.547936 0.595977i
\(413\) −29.6720 19.8262i −1.46006 0.975583i
\(414\) −19.8408 + 28.0148i −0.975122 + 1.37685i
\(415\) −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 \(-0.656998\pi\)
0.994952 + 0.100356i \(0.0319981\pi\)
\(420\) −4.48299 20.6039i −0.218747 1.00537i
\(421\) 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
\(423\) 31.6645 + 1.52620i 1.53958 + 0.0742066i
\(424\) −0.433257 6.87255i −0.0210408 0.333761i
\(425\) 0.719798 + 1.73775i 0.0349153 + 0.0842931i
\(426\) −28.0777 + 18.6355i −1.36037 + 0.902893i
\(427\) −0.340026 0.508885i −0.0164550 0.0246267i
\(428\) 6.00893 1.45980i 0.290453 0.0705622i
\(429\) −3.26199 + 1.26002i −0.157490 + 0.0608344i
\(430\) −3.08518 13.9712i −0.148780 0.673753i
\(431\) 10.8612 10.8612i 0.523167 0.523167i −0.395359 0.918527i \(-0.629380\pi\)
0.918527 + 0.395359i \(0.129380\pi\)
\(432\) 19.2942 + 7.72869i 0.928294 + 0.371847i
\(433\) 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
\(435\) −0.580796 1.50358i −0.0278470 0.0720913i
\(436\) −0.897150 + 5.76517i −0.0429657 + 0.276102i
\(437\) 44.2317 29.5547i 2.11589 1.41379i
\(438\) −4.53884 + 22.4549i −0.216874 + 1.07294i
\(439\) 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
\(441\) 0.566108 11.7452i 0.0269575 0.559294i
\(442\) −0.624766 + 0.651554i −0.0297171 + 0.0309913i
\(443\) −39.4508 7.84725i −1.87436 0.372834i −0.879658 0.475607i \(-0.842228\pi\)
−0.994705 + 0.102774i \(0.967228\pi\)
\(444\) 2.16426 + 3.11685i 0.102711 + 0.147919i
\(445\) 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 \(0.952659\pi\)
\(450\) 6.72015 1.14785i 0.316791 0.0541099i
\(451\) −20.5712 + 30.7869i −0.968659 + 1.44970i
\(452\) 15.2565 7.08342i 0.717608 0.333176i
\(453\) −7.24433 0.174484i −0.340368 0.00819798i
\(454\) 17.0852 + 16.3827i 0.801847 + 0.768879i
\(455\) 1.27023 3.06662i 0.0595495 0.143765i
\(456\) −23.6426 21.8723i −1.10717 1.02426i
\(457\) −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
\(459\) 5.43662 + 2.72711i 0.253760 + 0.127291i
\(460\) −4.58366 + 29.4550i −0.213714 + 1.37335i
\(461\) 4.23707 + 21.3012i 0.197340 + 0.992096i 0.944765 + 0.327749i \(0.106290\pi\)
−0.747425 + 0.664347i \(0.768710\pi\)
\(462\) −11.5539 + 27.6512i −0.537536 + 1.28645i
\(463\) 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
\(465\) −7.29289 5.13118i −0.338199 0.237953i
\(466\) 16.6429 3.67514i 0.770967 0.170248i
\(467\) 4.59236 + 23.0874i 0.212509 + 1.06836i 0.928808 + 0.370562i \(0.120835\pi\)
−0.716299 + 0.697794i \(0.754165\pi\)
\(468\) 1.80087 + 2.73164i 0.0832451 + 0.126270i
\(469\) −6.89497 + 4.60707i −0.318380 + 0.212735i
\(470\) 25.2056 11.0657i 1.16265 0.510425i
\(471\) −9.60718 15.1559i −0.442675 0.698346i
\(472\) 20.1970 22.9148i 0.929640 1.05474i
\(473\) −7.78177 + 18.7869i −0.357806 + 0.863821i
\(474\) −33.9939 + 6.65250i −1.56139 + 0.305560i
\(475\) −10.3615 2.06103i −0.475418 0.0945666i
\(476\) 0.324602 + 7.72919i 0.0148781 + 0.354267i
\(477\) −7.08666 1.76815i −0.324476 0.0809579i
\(478\) −14.6351 20.9380i −0.669392 0.957683i
\(479\) 16.8605i 0.770374i 0.922838 + 0.385187i \(0.125863\pi\)
−0.922838 + 0.385187i \(0.874137\pi\)
\(480\) 17.9893 1.45760i 0.821094 0.0665302i
\(481\) 0.597330i 0.0272359i
\(482\) 1.83627 1.28350i 0.0836397 0.0584617i
\(483\) −18.7478 + 42.3473i −0.853055 + 1.92687i
\(484\) 3.66493 3.98626i 0.166588 0.181194i
\(485\) −27.3506 5.44037i −1.24193 0.247034i
\(486\) 14.0066 17.0239i 0.635354 0.772221i
\(487\) −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
\(489\) −1.05990 + 0.671860i −0.0479302 + 0.0303826i
\(490\) −4.10457 9.34939i −0.185425 0.422362i
\(491\) −8.17112 + 5.45977i −0.368758 + 0.246396i −0.726117 0.687571i \(-0.758677\pi\)
0.357360 + 0.933967i \(0.383677\pi\)
\(492\) 32.2392 + 12.6831i 1.45346 + 0.571796i
\(493\) 0.115368 + 0.579996i 0.00519593 + 0.0261217i
\(494\) −1.09326 4.95085i −0.0491882 0.222749i
\(495\) 18.5034 + 8.73052i 0.831667 + 0.392408i
\(496\) 8.54014 + 7.21451i 0.383464 + 0.323941i
\(497\) −32.1465 + 32.1465i −1.44197 + 1.44197i
\(498\) 8.56437 20.4966i 0.383779 0.918473i
\(499\) 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
\(501\) 4.27252 4.07155i 0.190882 0.181903i
\(502\) 2.59459 6.65560i 0.115802 0.297054i
\(503\) 4.59413 + 11.0912i 0.204842 + 0.494532i 0.992597 0.121457i \(-0.0387566\pi\)
−0.787755 + 0.615989i \(0.788757\pi\)
\(504\) 27.5786 + 5.06273i 1.22845 + 0.225512i
\(505\) 3.02210 7.29599i 0.134482 0.324667i
\(506\) 29.3222 30.5795i 1.30353 1.35943i
\(507\) 0.529769 21.9952i 0.0235278 0.976843i
\(508\) −15.1730 + 41.4730i −0.673193 + 1.84007i
\(509\) −13.6072 + 20.3646i −0.603129 + 0.902647i −0.999883 0.0152784i \(-0.995137\pi\)
0.396754 + 0.917925i \(0.370137\pi\)
\(510\) 5.28148 + 0.0163453i 0.233868 + 0.000723783i
\(511\) 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
\(516\) 18.7240 + 3.37738i 0.824277 + 0.148681i
\(517\) −38.3715 7.63256i −1.68758 0.335680i
\(518\) 3.69489 + 3.54297i 0.162344 + 0.155669i
\(519\) −0.0311953 + 0.139220i −0.00136932 + 0.00611108i
\(520\) 2.45691 + 1.42667i 0.107743 + 0.0625637i
\(521\) 9.74629 4.03705i 0.426993 0.176866i −0.158829 0.987306i \(-0.550772\pi\)
0.585822 + 0.810440i \(0.300772\pi\)
\(522\) 2.14261 + 0.0582415i 0.0937796 + 0.00254916i
\(523\) 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
\(525\) 8.57931 3.31397i 0.374432 0.144633i
\(526\) −3.55503 2.26896i −0.155007 0.0989312i
\(527\) 2.31331 + 2.31331i 0.100769 + 0.100769i
\(528\) −22.1422 12.9493i −0.963615 0.563544i
\(529\) 30.0319 30.0319i 1.30574 1.30574i
\(530\) −6.19312 + 1.36759i −0.269012 + 0.0594041i
\(531\) −16.6816 27.7733i −0.723920 1.20526i
\(532\) −37.1089 22.6026i −1.60887 0.979948i
\(533\) 3.02986 + 4.53450i 0.131238 + 0.196411i
\(534\) −22.2601 + 14.7743i −0.963289 + 0.639346i
\(535\) −2.17950 5.26178i −0.0942281 0.227487i
\(536\) −3.12343 6.37368i −0.134912 0.275301i
\(537\) 5.89228 26.2964i 0.254271 1.13477i
\(538\) −20.7393 + 0.435302i −0.894136 + 0.0187672i
\(539\) −2.83111 + 14.2330i −0.121945 + 0.613057i
\(540\) 4.30116 18.6536i 0.185092 0.802721i
\(541\) 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
\(546\) 3.11141 + 3.13073i 0.133156 + 0.133983i
\(547\) −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
\(549\) −0.0820375 0.549547i −0.00350128 0.0234541i
\(550\) −8.41174 + 0.176556i −0.358678 + 0.00752836i
\(551\) −3.06863 1.27107i −0.130728 0.0541493i
\(552\) −33.7904 20.7250i −1.43821 0.882116i
\(553\) −43.1723 + 17.8825i −1.83587 + 0.760443i
\(554\) 0.560221 + 1.27607i 0.0238015 + 0.0542152i
\(555\) 2.53004 2.41103i 0.107394 0.102342i
\(556\) −22.1827 + 5.38904i −0.940757 + 0.228546i
\(557\) 31.2872 6.22341i 1.32568 0.263694i 0.519047 0.854746i \(-0.326287\pi\)
0.806634 + 0.591052i \(0.201287\pi\)
\(558\) 10.0347 6.31747i 0.424804 0.267440i
\(559\) 2.11781 + 2.11781i 0.0895738 + 0.0895738i
\(560\) 23.3977 6.73557i 0.988735 0.284630i
\(561\) −6.13899 4.31932i −0.259189 0.182362i
\(562\) 16.6742 + 10.6421i 0.703361 + 0.448912i
\(563\) −0.331921 + 0.0660232i −0.0139888 + 0.00278255i −0.202080 0.979369i \(-0.564770\pi\)
0.188091 + 0.982152i \(0.439770\pi\)
\(564\) 0.654885 + 36.5996i 0.0275756 + 1.54112i
\(565\) −8.60702 12.8813i −0.362100 0.541921i
\(566\) 1.46291 3.75263i 0.0614905 0.157735i
\(567\) 13.9709 26.2545i 0.586724 1.10259i
\(568\) −23.6115 30.9303i −0.990715 1.29781i
\(569\) −4.20099 1.74011i −0.176115 0.0729491i 0.292884 0.956148i \(-0.405385\pi\)
−0.468999 + 0.883199i \(0.655385\pi\)
\(570\) −16.5569 + 24.6139i −0.693493 + 1.03096i
\(571\) 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
\(573\) −1.39397 + 3.14868i −0.0582339 + 0.131538i
\(574\) 46.0201 + 8.15399i 1.92084 + 0.340341i
\(575\) −13.0021 −0.542226
\(576\) −7.43432 + 22.8195i −0.309763 + 0.950814i
\(577\) −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
\(579\) −8.41279 + 19.0027i −0.349624 + 0.789725i
\(580\) 1.68814 0.783780i 0.0700961 0.0325447i
\(581\) 5.84640 29.3918i 0.242550 1.21938i
\(582\) 20.6973 30.7691i 0.857930 1.27542i
\(583\) 8.32777 + 3.44947i 0.344901 + 0.142863i
\(584\) −26.2181 3.51815i −1.08491 0.145582i
\(585\) 2.23093 2.02576i 0.0922378 0.0837550i
\(586\) 14.9295 38.2971i 0.616733 1.58204i
\(587\) 6.76560 + 10.1254i 0.279246 + 0.417922i 0.944407 0.328779i \(-0.106637\pi\)
−0.665161 + 0.746700i \(0.731637\pi\)
\(588\) 13.5757 0.242913i 0.559854 0.0100176i
\(589\) −18.0219 + 3.58478i −0.742580 + 0.147708i
\(590\) −23.7143 15.1354i −0.976301 0.623113i
\(591\) −3.63937 2.56062i −0.149704 0.105330i
\(592\) −3.42623 + 2.73118i −0.140817 + 0.112251i
\(593\) 13.3642 + 13.3642i 0.548802 + 0.548802i 0.926094 0.377292i \(-0.123145\pi\)
−0.377292 + 0.926094i \(0.623145\pi\)
\(594\) −20.1984 + 18.2271i −0.828751 + 0.747868i
\(595\) 6.98810 1.39002i 0.286484 0.0569853i
\(596\) −4.09288 16.8474i −0.167651 0.690096i
\(597\) −1.40982 + 1.34350i −0.0576999 + 0.0549858i
\(598\) −2.50839 5.71361i −0.102576 0.233647i
\(599\) 6.94122 2.87515i 0.283610 0.117475i −0.236344 0.971670i \(-0.575949\pi\)
0.519954 + 0.854194i \(0.325949\pi\)
\(600\) 1.83471 + 7.65536i 0.0749018 + 0.312529i
\(601\) 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
\(603\) −7.44591 + 1.11154i −0.303221 + 0.0452654i
\(604\) −0.351098 8.36009i −0.0142860 0.340167i
\(605\) −4.14679 2.77079i −0.168591 0.112649i
\(606\) 7.40257 + 7.44853i 0.300709 + 0.302576i
\(607\) 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
\(612\) −2.72777 + 6.47182i −0.110264 + 0.261608i
\(613\) −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
\(615\) 6.97669 31.1360i 0.281327 1.25552i
\(616\) −32.7398 11.2047i −1.31913 0.451451i
\(617\) −4.75928 11.4899i −0.191602 0.462567i 0.798661 0.601782i \(-0.205542\pi\)
−0.990262 + 0.139215i \(0.955542\pi\)
\(618\) 16.7686 11.1295i 0.674531 0.447694i
\(619\) −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
\(621\) −31.7982 + 27.5064i −1.27602 + 1.10380i
\(622\) 7.07215 1.56170i 0.283567 0.0626183i
\(623\) −25.4858 + 25.4858i −1.02107 + 1.02107i
\(624\) −3.01009 + 2.28312i −0.120500 + 0.0913981i
\(625\) −10.1706 10.1706i −0.406824 0.406824i
\(626\) −2.34360 1.49578i −0.0936693 0.0597833i
\(627\) 39.3280 15.1914i 1.57061 0.606685i
\(628\) 16.7301 12.2243i 0.667604 0.487805i
\(629\) −1.06611 + 0.712352i −0.0425086 + 0.0284033i
\(630\) 0.701725 25.8153i 0.0279574 1.02851i
\(631\) −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
\(633\) −5.44558 + 24.3029i −0.216443 + 0.965953i
\(634\) −11.7204 11.2385i −0.465476 0.446338i
\(635\) 39.8920 + 7.93501i 1.58306 + 0.314891i
\(636\) 1.49711 8.29989i 0.0593643 0.329112i
\(637\) 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 \(0.963444\pi\)
\(642\) 7.57343 + 0.0234385i 0.298899 + 0.000925045i
\(643\) 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
\(645\) 0.421940 17.5184i 0.0166139 0.689784i
\(646\) 7.53245 7.85543i 0.296360 0.309068i
\(647\) 6.78354 16.3769i 0.266688 0.643843i −0.732635 0.680622i \(-0.761710\pi\)
0.999323 + 0.0367789i \(0.0117097\pi\)
\(648\) 20.6822 + 14.8407i 0.812473 + 0.582998i
\(649\) 15.3009 + 36.9395i 0.600611 + 1.45000i
\(650\) −0.450095 + 1.15458i −0.0176542 + 0.0452863i
\(651\) 11.5804 11.0357i 0.453873 0.432524i
\(652\) −0.854887 1.16999i −0.0334799 0.0458203i
\(653\) 1.38945 + 6.98522i 0.0543733 + 0.273353i 0.998402 0.0565103i \(-0.0179974\pi\)
−0.944029 + 0.329863i \(0.892997\pi\)
\(654\) −2.75501 + 6.59340i −0.107730 + 0.257823i
\(655\) −18.1778 + 18.1778i −0.710264 + 0.710264i
\(656\) −12.1560 + 38.1121i −0.474614 + 1.48803i
\(657\) −11.9727 + 25.3749i −0.467101 + 0.989971i
\(658\) 10.6483 + 48.2209i 0.415114 + 1.87985i
\(659\) 4.43616 + 22.3021i 0.172808 + 0.868765i 0.965751 + 0.259469i \(0.0835477\pi\)
−0.792943 + 0.609296i \(0.791452\pi\)
\(660\) −8.64889 + 21.9847i −0.336658 + 0.855754i
\(661\) −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
\(663\) −0.933770 + 0.591909i −0.0362646 + 0.0229878i
\(664\) 24.2685 + 8.30554i 0.941802 + 0.322318i
\(665\) −15.3145 + 36.9725i −0.593871 + 1.43373i
\(666\) 1.66115 + 4.34036i 0.0643683 + 0.168186i
\(667\) −4.00929 0.797498i −0.155240 0.0308792i
\(668\) 5.01680 + 4.61240i 0.194106 + 0.178459i
\(669\) −11.9216 + 26.9283i −0.460915 + 1.04111i
\(670\) −5.35812 + 3.74517i −0.207002 + 0.144689i
\(671\) 0.685723i 0.0264720i
\(672\) −3.73125 + 32.1615i −0.143936 + 1.24066i
\(673\) 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
\(675\) 8.32789 + 0.602680i 0.320541 + 0.0231971i
\(676\) 25.3829 1.06600i 0.976266 0.0410001i
\(677\) 8.49094 + 1.68895i 0.326333 + 0.0649117i 0.355538 0.934662i \(-0.384298\pi\)
−0.0292050 + 0.999573i \(0.509298\pi\)
\(678\) 20.2176 3.95653i 0.776452 0.151949i
\(679\) 19.1442 46.2182i 0.734687 1.77369i
\(680\) 0.383701 + 6.08647i 0.0147143 + 0.233406i
\(681\) 15.5211 + 24.4855i 0.594772 + 0.938286i
\(682\) −13.3995 + 5.88262i −0.513092 + 0.225257i
\(683\) 1.10592 0.738953i 0.0423169 0.0282753i −0.534232 0.845338i \(-0.679399\pi\)
0.576549 + 0.817063i \(0.304399\pi\)
\(684\) −21.7121 32.9339i −0.830182 1.25926i
\(685\) −3.41610 17.1739i −0.130522 0.656181i
\(686\) −14.0568 + 3.10407i −0.536691 + 0.118514i
\(687\) −12.5590 8.83635i −0.479156 0.337128i
\(688\) −2.46428 + 21.8308i −0.0939500 + 0.832293i
\(689\) 0.938774 0.938774i 0.0357644 0.0357644i
\(690\) −14.0757 + 33.6866i −0.535854 + 1.28243i
\(691\) 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
\(693\) −21.8368 + 29.5005i −0.829510 + 1.12063i
\(694\) 40.3092 + 15.7139i 1.53012 + 0.596493i
\(695\) 8.04591 + 19.4245i 0.305199 + 0.736815i
\(696\) 0.0961969 + 2.47312i 0.00364633 + 0.0937433i
\(697\) −4.47986 + 10.8153i −0.169687 + 0.409660i
\(698\) 11.6013 + 11.1243i 0.439116 + 0.421061i
\(699\) 20.8683 + 0.502626i 0.789312 + 0.0190111i
\(700\) 4.47218 + 9.63235i 0.169032 + 0.364069i
\(701\) 8.51430 12.7425i 0.321581 0.481279i −0.635096 0.772434i \(-0.719039\pi\)
0.956676 + 0.291154i \(0.0940393\pi\)
\(702\) 1.34179 + 3.77585i 0.0506426 + 0.142510i
\(703\) 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
\(708\) 30.7285 21.3370i 1.15485 0.801895i
\(709\) −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
\(711\) −42.3744 2.04241i −1.58916 0.0765964i
\(712\) −18.7193 24.5217i −0.701534 0.918989i
\(713\) −20.8933 + 8.65430i −0.782461 + 0.324106i
\(714\) −1.87716 + 9.28682i −0.0702509 + 0.347550i
\(715\) −3.09219 + 2.06613i −0.115641 + 0.0772690i
\(716\) 30.7474 + 4.78477i 1.14908 + 0.178815i
\(717\) −11.2736 29.1854i −0.421019 1.08995i
\(718\) −14.8874 + 23.3258i −0.555594 + 0.870512i
\(719\) −10.7173 10.7173i −0.399686 0.399686i 0.478436 0.878122i \(-0.341204\pi\)
−0.878122 + 0.478436i \(0.841204\pi\)
\(720\) 21.8201 + 3.53401i 0.813188 + 0.131705i
\(721\) 19.1985 19.1985i 0.714990 0.714990i
\(722\) 7.38692 + 33.4517i 0.274913 + 1.24494i
\(723\) 2.55956 0.988693i 0.0951911 0.0367699i
\(724\) −7.73248 31.8289i −0.287375 1.18291i
\(725\) 0.451018 + 0.674997i 0.0167504 + 0.0250687i
\(726\) 5.52565 3.66744i 0.205076 0.136111i
\(727\) −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
\(729\) 21.6419 16.1440i 0.801550 0.597927i
\(730\) 0.511263 + 24.3584i 0.0189227 + 0.901545i
\(731\) −1.25424 + 6.30547i −0.0463896 + 0.233216i
\(732\) 0.626926 0.136407i 0.0231719 0.00504173i
\(733\) −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
\(738\) 34.6260 + 24.5230i 1.27460 + 0.902704i
\(739\) 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
\(741\) 0.149519 6.20780i 0.00549270 0.228049i
\(742\) −0.238755 11.3751i −0.00876498 0.417595i
\(743\) −40.3779 16.7251i −1.48132 0.613583i −0.511912 0.859038i \(-0.671063\pi\)
−0.969408 + 0.245455i \(0.921063\pi\)
\(744\) 8.04369 + 11.0803i 0.294896 + 0.406225i
\(745\) −14.7526 + 6.11073i −0.540493 + 0.223880i
\(746\) −8.39916 + 3.68739i −0.307515 + 0.135005i
\(747\) 16.1866 21.8673i 0.592236 0.800084i
\(748\) 4.50875 7.40244i 0.164856 0.270660i
\(749\) 10.0207 1.99323i 0.366147 0.0728312i
\(750\) 27.5766 11.3228i 1.00696 0.413449i
\(751\) 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
\(753\) 5.03438 7.15531i 0.183463 0.260754i
\(754\) −0.209607 + 0.328415i −0.00763345 + 0.0119602i
\(755\) −7.55851 + 1.50348i −0.275082 + 0.0547173i
\(756\) 31.3148 + 14.0960i 1.13891 + 0.512668i
\(757\) 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
\(759\) 43.8248 27.7802i 1.59074 1.00836i
\(760\) −29.6216 17.2006i −1.07449 0.623931i
\(761\) −2.07072 0.857719i −0.0750635 0.0310923i 0.344836 0.938663i \(-0.387935\pi\)
−0.419899 + 0.907571i \(0.637935\pi\)
\(762\) −30.1879 + 44.8780i −1.09359 + 1.62576i
\(763\) −1.88069 + 9.45486i −0.0680855 + 0.342289i
\(764\) −3.73410 1.36613i −0.135095 0.0494248i
\(765\) 6.27609 + 1.56591i 0.226913 + 0.0566155i
\(766\) −5.94797 + 33.5696i −0.214909 + 1.21292i
\(767\) 5.88896 0.212638
\(768\) −26.8589 6.82648i −0.969186 0.246329i
\(769\) 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
\(771\) 33.7919 + 14.9602i 1.21699 + 0.538779i
\(772\) −22.5358 8.24476i −0.811080 0.296735i
\(773\) 3.37161 16.9502i 0.121268