Properties

Label 570.2.bi.a.263.31
Level $570$
Weight $2$
Character 570.263
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 263.31
Character \(\chi\) \(=\) 570.263
Dual form 570.2.bi.a.557.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0871557 + 0.996195i) q^{2} +(0.363458 - 1.69349i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.95247 + 1.08989i) q^{5} +(1.71872 + 0.214478i) q^{6} +(-1.28322 - 0.343837i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.73580 - 1.23102i) q^{9} +O(q^{10})\) \(q+(0.0871557 + 0.996195i) q^{2} +(0.363458 - 1.69349i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.95247 + 1.08989i) q^{5} +(1.71872 + 0.214478i) q^{6} +(-1.28322 - 0.343837i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.73580 - 1.23102i) q^{9} +(-1.25591 - 1.85005i) q^{10} +(4.64456 + 2.68154i) q^{11} +(-0.0638656 + 1.73087i) q^{12} +(1.47825 + 3.17012i) q^{13} +(0.230689 - 1.30830i) q^{14} +(1.13607 + 3.70261i) q^{15} +(0.939693 - 0.342020i) q^{16} +(0.458283 + 5.23819i) q^{17} +(0.987899 - 2.83268i) q^{18} +(4.21168 + 1.12327i) q^{19} +(1.73355 - 1.41237i) q^{20} +(-1.04868 + 2.04814i) q^{21} +(-2.26653 + 4.86059i) q^{22} +(6.24450 + 4.37245i) q^{23} +(-1.72985 + 0.0872330i) q^{24} +(2.62429 - 4.25595i) q^{25} +(-3.02921 + 1.74892i) q^{26} +(-3.07907 + 4.18561i) q^{27} +(1.32343 + 0.115785i) q^{28} +(-1.96385 + 1.64787i) q^{29} +(-3.58951 + 1.45445i) q^{30} +(-4.70677 - 8.15237i) q^{31} +(0.422618 + 0.906308i) q^{32} +(6.22925 - 6.89087i) q^{33} +(-5.17832 + 0.913077i) q^{34} +(2.88019 - 0.727229i) q^{35} +(2.90800 + 0.737255i) q^{36} +(-2.77322 + 2.77322i) q^{37} +(-0.751926 + 4.29355i) q^{38} +(5.90583 - 1.35119i) q^{39} +(1.55809 + 1.60386i) q^{40} +(1.57136 + 4.31727i) q^{41} +(-2.13174 - 0.866181i) q^{42} +(0.480575 - 0.336502i) q^{43} +(-5.03964 - 1.83428i) q^{44} +(6.68324 - 0.578169i) q^{45} +(-3.81156 + 6.60182i) q^{46} +(-3.09441 - 0.270725i) q^{47} +(-0.237668 - 1.71567i) q^{48} +(-4.53376 - 2.61757i) q^{49} +(4.46847 + 2.24338i) q^{50} +(9.03738 + 1.12777i) q^{51} +(-2.00628 - 2.86526i) q^{52} +(-1.61214 - 1.12883i) q^{53} +(-4.43804 - 2.70255i) q^{54} +(-11.9909 - 0.173583i) q^{55} +1.32848i q^{56} +(3.43302 - 6.72416i) q^{57} +(-1.81276 - 1.81276i) q^{58} +(11.6185 + 9.74909i) q^{59} +(-1.76176 - 3.44909i) q^{60} +(-1.33887 - 7.59310i) q^{61} +(7.71113 - 5.39939i) q^{62} +(3.08735 + 2.52034i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-6.34131 - 4.57844i) q^{65} +(7.40756 + 5.60496i) q^{66} +(-1.05602 + 12.0703i) q^{67} +(-1.36092 - 5.07903i) q^{68} +(9.67430 - 8.98578i) q^{69} +(0.975486 + 2.80584i) q^{70} +(-5.16453 - 0.910646i) q^{71} +(-0.481001 + 2.96119i) q^{72} +(11.3679 + 5.30093i) q^{73} +(-3.00437 - 2.52096i) q^{74} +(-6.25357 - 5.99107i) q^{75} +(-4.34275 - 0.374857i) q^{76} +(-5.03796 - 5.03796i) q^{77} +(1.86078 + 5.76559i) q^{78} +(0.195979 + 0.538447i) q^{79} +(-1.46196 + 1.69194i) q^{80} +(5.96916 + 6.73566i) q^{81} +(-4.16389 + 1.94165i) q^{82} +(-12.9834 - 3.47889i) q^{83} +(0.677091 - 2.19912i) q^{84} +(-6.60382 - 9.72795i) q^{85} +(0.377106 + 0.449418i) q^{86} +(2.07686 + 3.92469i) q^{87} +(1.38806 - 5.18033i) q^{88} +(-7.24577 - 2.63724i) q^{89} +(1.15845 + 6.60742i) q^{90} +(-0.806911 - 4.57622i) q^{91} +(-6.90890 - 3.22167i) q^{92} +(-15.5167 + 5.00781i) q^{93} -3.10623i q^{94} +(-9.44743 + 2.39710i) q^{95} +(1.68842 - 0.386293i) q^{96} +(3.27952 - 0.286921i) q^{97} +(2.21246 - 4.74464i) q^{98} +(-9.40552 - 13.0537i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{9}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0871557 + 0.996195i 0.0616284 + 0.704416i
\(3\) 0.363458 1.69349i 0.209843 0.977735i
\(4\) −0.984808 + 0.173648i −0.492404 + 0.0868241i
\(5\) −1.95247 + 1.08989i −0.873172 + 0.487412i
\(6\) 1.71872 + 0.214478i 0.701665 + 0.0875603i
\(7\) −1.28322 0.343837i −0.485010 0.129958i 0.00802443 0.999968i \(-0.497446\pi\)
−0.493035 + 0.870010i \(0.664112\pi\)
\(8\) −0.258819 0.965926i −0.0915064 0.341506i
\(9\) −2.73580 1.23102i −0.911932 0.410341i
\(10\) −1.25591 1.85005i −0.397153 0.585038i
\(11\) 4.64456 + 2.68154i 1.40039 + 0.808513i 0.994432 0.105380i \(-0.0336059\pi\)
0.405954 + 0.913893i \(0.366939\pi\)
\(12\) −0.0638656 + 1.73087i −0.0184364 + 0.499660i
\(13\) 1.47825 + 3.17012i 0.409993 + 0.879232i 0.997544 + 0.0700450i \(0.0223143\pi\)
−0.587551 + 0.809187i \(0.699908\pi\)
\(14\) 0.230689 1.30830i 0.0616541 0.349658i
\(15\) 1.13607 + 3.70261i 0.293331 + 0.956011i
\(16\) 0.939693 0.342020i 0.234923 0.0855050i
\(17\) 0.458283 + 5.23819i 0.111150 + 1.27045i 0.822969 + 0.568086i \(0.192316\pi\)
−0.711819 + 0.702363i \(0.752129\pi\)
\(18\) 0.987899 2.83268i 0.232850 0.667668i
\(19\) 4.21168 + 1.12327i 0.966226 + 0.257696i
\(20\) 1.73355 1.41237i 0.387634 0.315816i
\(21\) −1.04868 + 2.04814i −0.228840 + 0.446941i
\(22\) −2.26653 + 4.86059i −0.483226 + 1.03628i
\(23\) 6.24450 + 4.37245i 1.30207 + 0.911718i 0.999147 0.0412973i \(-0.0131491\pi\)
0.302922 + 0.953015i \(0.402038\pi\)
\(24\) −1.72985 + 0.0872330i −0.353105 + 0.0178064i
\(25\) 2.62429 4.25595i 0.524859 0.851189i
\(26\) −3.02921 + 1.74892i −0.594078 + 0.342991i
\(27\) −3.07907 + 4.18561i −0.592567 + 0.805521i
\(28\) 1.32343 + 0.115785i 0.250104 + 0.0218813i
\(29\) −1.96385 + 1.64787i −0.364678 + 0.306001i −0.806652 0.591027i \(-0.798723\pi\)
0.441974 + 0.897028i \(0.354278\pi\)
\(30\) −3.58951 + 1.45445i −0.655352 + 0.265545i
\(31\) −4.70677 8.15237i −0.845362 1.46421i −0.885307 0.465007i \(-0.846052\pi\)
0.0399451 0.999202i \(-0.487282\pi\)
\(32\) 0.422618 + 0.906308i 0.0747091 + 0.160214i
\(33\) 6.22925 6.89087i 1.08437 1.19955i
\(34\) −5.17832 + 0.913077i −0.888074 + 0.156591i
\(35\) 2.88019 0.727229i 0.486840 0.122924i
\(36\) 2.90800 + 0.737255i 0.484666 + 0.122876i
\(37\) −2.77322 + 2.77322i −0.455914 + 0.455914i −0.897312 0.441397i \(-0.854483\pi\)
0.441397 + 0.897312i \(0.354483\pi\)
\(38\) −0.751926 + 4.29355i −0.121979 + 0.696506i
\(39\) 5.90583 1.35119i 0.945690 0.216364i
\(40\) 1.55809 + 1.60386i 0.246355 + 0.253592i
\(41\) 1.57136 + 4.31727i 0.245405 + 0.674245i 0.999840 + 0.0178703i \(0.00568858\pi\)
−0.754435 + 0.656374i \(0.772089\pi\)
\(42\) −2.13174 0.866181i −0.328935 0.133655i
\(43\) 0.480575 0.336502i 0.0732869 0.0513161i −0.536359 0.843990i \(-0.680201\pi\)
0.609646 + 0.792674i \(0.291312\pi\)
\(44\) −5.03964 1.83428i −0.759754 0.276528i
\(45\) 6.68324 0.578169i 0.996279 0.0861883i
\(46\) −3.81156 + 6.60182i −0.561984 + 0.973386i
\(47\) −3.09441 0.270725i −0.451365 0.0394894i −0.140793 0.990039i \(-0.544965\pi\)
−0.310573 + 0.950550i \(0.600521\pi\)
\(48\) −0.237668 1.71567i −0.0343044 0.247635i
\(49\) −4.53376 2.61757i −0.647680 0.373938i
\(50\) 4.46847 + 2.24338i 0.631938 + 0.317261i
\(51\) 9.03738 + 1.12777i 1.26549 + 0.157919i
\(52\) −2.00628 2.86526i −0.278220 0.397340i
\(53\) −1.61214 1.12883i −0.221444 0.155057i 0.457591 0.889163i \(-0.348713\pi\)
−0.679035 + 0.734106i \(0.737601\pi\)
\(54\) −4.43804 2.70255i −0.603941 0.367771i
\(55\) −11.9909 0.173583i −1.61686 0.0234060i
\(56\) 1.32848i 0.177526i
\(57\) 3.43302 6.72416i 0.454714 0.890637i
\(58\) −1.81276 1.81276i −0.238027 0.238027i
\(59\) 11.6185 + 9.74909i 1.51260 + 1.26922i 0.858495 + 0.512822i \(0.171400\pi\)
0.654107 + 0.756402i \(0.273045\pi\)
\(60\) −1.76176 3.44909i −0.227442 0.445275i
\(61\) −1.33887 7.59310i −0.171425 0.972197i −0.942190 0.335078i \(-0.891237\pi\)
0.770766 0.637119i \(-0.219874\pi\)
\(62\) 7.71113 5.39939i 0.979314 0.685723i
\(63\) 3.08735 + 2.52034i 0.388969 + 0.317533i
\(64\) −0.866025 + 0.500000i −0.108253 + 0.0625000i
\(65\) −6.34131 4.57844i −0.786542 0.567885i
\(66\) 7.40756 + 5.60496i 0.911808 + 0.689923i
\(67\) −1.05602 + 12.0703i −0.129013 + 1.47462i 0.605400 + 0.795921i \(0.293013\pi\)
−0.734413 + 0.678703i \(0.762543\pi\)
\(68\) −1.36092 5.07903i −0.165036 0.615923i
\(69\) 9.67430 8.98578i 1.16465 1.08176i
\(70\) 0.975486 + 2.80584i 0.116593 + 0.335363i
\(71\) −5.16453 0.910646i −0.612917 0.108074i −0.141432 0.989948i \(-0.545171\pi\)
−0.471485 + 0.881874i \(0.656282\pi\)
\(72\) −0.481001 + 2.96119i −0.0566865 + 0.348979i
\(73\) 11.3679 + 5.30093i 1.33051 + 0.620427i 0.952263 0.305278i \(-0.0987494\pi\)
0.378246 + 0.925705i \(0.376527\pi\)
\(74\) −3.00437 2.52096i −0.349251 0.293056i
\(75\) −6.25357 5.99107i −0.722100 0.691789i
\(76\) −4.34275 0.374857i −0.498148 0.0429991i
\(77\) −5.03796 5.03796i −0.574129 0.574129i
\(78\) 1.86078 + 5.76559i 0.210691 + 0.652825i
\(79\) 0.195979 + 0.538447i 0.0220493 + 0.0605800i 0.950229 0.311552i \(-0.100849\pi\)
−0.928180 + 0.372132i \(0.878627\pi\)
\(80\) −1.46196 + 1.69194i −0.163452 + 0.189165i
\(81\) 5.96916 + 6.73566i 0.663240 + 0.748407i
\(82\) −4.16389 + 1.94165i −0.459825 + 0.214420i
\(83\) −12.9834 3.47889i −1.42511 0.381858i −0.537819 0.843061i \(-0.680751\pi\)
−0.887295 + 0.461203i \(0.847418\pi\)
\(84\) 0.677091 2.19912i 0.0738767 0.239944i
\(85\) −6.60382 9.72795i −0.716285 1.05514i
\(86\) 0.377106 + 0.449418i 0.0406644 + 0.0484620i
\(87\) 2.07686 + 3.92469i 0.222663 + 0.420771i
\(88\) 1.38806 5.18033i 0.147968 0.552225i
\(89\) −7.24577 2.63724i −0.768050 0.279547i −0.0718692 0.997414i \(-0.522896\pi\)
−0.696180 + 0.717867i \(0.745119\pi\)
\(90\) 1.15845 + 6.60742i 0.122112 + 0.696483i
\(91\) −0.806911 4.57622i −0.0845873 0.479718i
\(92\) −6.90890 3.22167i −0.720303 0.335883i
\(93\) −15.5167 + 5.00781i −1.60900 + 0.519286i
\(94\) 3.10623i 0.320383i
\(95\) −9.44743 + 2.39710i −0.969286 + 0.245937i
\(96\) 1.68842 0.386293i 0.172324 0.0394259i
\(97\) 3.27952 0.286921i 0.332985 0.0291324i 0.0805626 0.996750i \(-0.474328\pi\)
0.252422 + 0.967617i \(0.418773\pi\)
\(98\) 2.21246 4.74464i 0.223492 0.479281i
\(99\) −9.40552 13.0537i −0.945291 1.31195i
\(100\) −1.84539 + 4.64699i −0.184539 + 0.464699i
\(101\) 2.79744 7.68592i 0.278356 0.764777i −0.719193 0.694810i \(-0.755488\pi\)
0.997549 0.0699670i \(-0.0222894\pi\)
\(102\) −0.335818 + 9.10128i −0.0332509 + 0.901161i
\(103\) −3.19103 + 0.855033i −0.314421 + 0.0842489i −0.412579 0.910922i \(-0.635372\pi\)
0.0981575 + 0.995171i \(0.468705\pi\)
\(104\) 2.67950 2.24837i 0.262746 0.220470i
\(105\) −0.184725 5.14188i −0.0180273 0.501796i
\(106\) 0.984029 1.70439i 0.0955773 0.165545i
\(107\) −1.55747 + 5.81255i −0.150566 + 0.561921i 0.848878 + 0.528589i \(0.177279\pi\)
−0.999444 + 0.0333321i \(0.989388\pi\)
\(108\) 2.30547 4.65670i 0.221844 0.448091i
\(109\) 2.40479 + 0.424030i 0.230337 + 0.0406147i 0.287625 0.957743i \(-0.407134\pi\)
−0.0572880 + 0.998358i \(0.518245\pi\)
\(110\) −0.872156 11.9604i −0.0831568 1.14038i
\(111\) 3.68846 + 5.70436i 0.350093 + 0.541434i
\(112\) −1.32343 + 0.115785i −0.125052 + 0.0109406i
\(113\) 2.14681 2.14681i 0.201955 0.201955i −0.598882 0.800837i \(-0.704388\pi\)
0.800837 + 0.598882i \(0.204388\pi\)
\(114\) 6.99778 + 2.83390i 0.655403 + 0.265420i
\(115\) −16.9577 1.73128i −1.58131 0.161443i
\(116\) 1.64787 1.96385i 0.153001 0.182339i
\(117\) −0.141702 10.4926i −0.0131003 0.970037i
\(118\) −8.69937 + 12.4240i −0.800842 + 1.14372i
\(119\) 1.21301 6.87931i 0.111196 0.630625i
\(120\) 3.28241 2.05566i 0.299642 0.187656i
\(121\) 8.88126 + 15.3828i 0.807388 + 1.39844i
\(122\) 7.44752 1.99556i 0.674267 0.180669i
\(123\) 7.88237 1.09193i 0.710729 0.0984558i
\(124\) 6.05091 + 7.21120i 0.543388 + 0.647585i
\(125\) −0.485361 + 11.1698i −0.0434120 + 0.999057i
\(126\) −2.24167 + 3.29526i −0.199703 + 0.293565i
\(127\) −4.86876 + 2.27034i −0.432033 + 0.201460i −0.626455 0.779458i \(-0.715495\pi\)
0.194422 + 0.980918i \(0.437717\pi\)
\(128\) −0.573576 0.819152i −0.0506975 0.0724035i
\(129\) −0.395193 0.936151i −0.0347948 0.0824235i
\(130\) 4.00833 6.71621i 0.351554 0.589051i
\(131\) 10.5741 12.6017i 0.923861 1.10101i −0.0707665 0.997493i \(-0.522545\pi\)
0.994627 0.103521i \(-0.0330110\pi\)
\(132\) −4.93802 + 7.86788i −0.429800 + 0.684811i
\(133\) −5.01827 2.88953i −0.435140 0.250554i
\(134\) −12.1164 −1.04670
\(135\) 1.44996 11.5281i 0.124792 0.992183i
\(136\) 4.94109 1.79841i 0.423695 0.154212i
\(137\) 8.44657 12.0629i 0.721639 1.03061i −0.275948 0.961173i \(-0.588992\pi\)
0.997587 0.0694345i \(-0.0221195\pi\)
\(138\) 9.79476 + 8.85432i 0.833785 + 0.753730i
\(139\) 1.32450 3.63904i 0.112343 0.308660i −0.870761 0.491706i \(-0.836374\pi\)
0.983104 + 0.183046i \(0.0585958\pi\)
\(140\) −2.71015 + 1.21632i −0.229049 + 0.102798i
\(141\) −1.58316 + 5.14194i −0.133326 + 0.433029i
\(142\) 0.457062 5.22424i 0.0383558 0.438409i
\(143\) −1.63497 + 18.6878i −0.136723 + 1.56275i
\(144\) −2.99184 0.221086i −0.249320 0.0184239i
\(145\) 2.03838 5.35779i 0.169278 0.444940i
\(146\) −4.28998 + 11.7866i −0.355041 + 0.975468i
\(147\) −6.08065 + 6.72648i −0.501523 + 0.554791i
\(148\) 2.24952 3.21265i 0.184910 0.264078i
\(149\) 12.3106 4.48069i 1.00852 0.367072i 0.215657 0.976469i \(-0.430811\pi\)
0.792865 + 0.609397i \(0.208588\pi\)
\(150\) 5.42323 6.75193i 0.442805 0.551293i
\(151\) 21.4721 1.74737 0.873686 0.486490i \(-0.161723\pi\)
0.873686 + 0.486490i \(0.161723\pi\)
\(152\) −0.00506498 4.35890i −0.000410824 0.353553i
\(153\) 5.19457 14.8948i 0.419956 1.20417i
\(154\) 4.57970 5.45787i 0.369043 0.439808i
\(155\) 18.0750 + 10.7874i 1.45182 + 0.866467i
\(156\) −5.58148 + 2.35620i −0.446876 + 0.188647i
\(157\) 0.0739605 + 0.105627i 0.00590269 + 0.00842992i 0.822093 0.569354i \(-0.192807\pi\)
−0.816190 + 0.577784i \(0.803918\pi\)
\(158\) −0.519317 + 0.242162i −0.0413147 + 0.0192654i
\(159\) −2.49761 + 2.31985i −0.198073 + 0.183976i
\(160\) −1.81292 1.30893i −0.143324 0.103480i
\(161\) −6.50964 7.75788i −0.513031 0.611407i
\(162\) −6.18978 + 6.53350i −0.486315 + 0.513320i
\(163\) 12.9706 3.47547i 1.01594 0.272220i 0.287830 0.957682i \(-0.407066\pi\)
0.728109 + 0.685462i \(0.240400\pi\)
\(164\) −2.29717 3.97882i −0.179379 0.310694i
\(165\) −4.65217 + 20.2434i −0.362171 + 1.57595i
\(166\) 2.33408 13.2372i 0.181159 1.02741i
\(167\) −1.24372 + 1.77622i −0.0962421 + 0.137448i −0.864385 0.502830i \(-0.832292\pi\)
0.768143 + 0.640278i \(0.221181\pi\)
\(168\) 2.24977 + 0.482848i 0.173573 + 0.0372525i
\(169\) 0.491824 0.586133i 0.0378326 0.0450872i
\(170\) 9.11537 7.42654i 0.699117 0.569589i
\(171\) −10.1395 8.25772i −0.775389 0.631484i
\(172\) −0.414841 + 0.414841i −0.0316313 + 0.0316313i
\(173\) −7.48477 + 0.654833i −0.569057 + 0.0497860i −0.368054 0.929805i \(-0.619976\pi\)
−0.201003 + 0.979591i \(0.564420\pi\)
\(174\) −3.72874 + 2.41102i −0.282675 + 0.182779i
\(175\) −4.83089 + 4.55897i −0.365181 + 0.344626i
\(176\) 5.28159 + 0.931287i 0.398115 + 0.0701984i
\(177\) 20.7328 16.1324i 1.55837 1.21259i
\(178\) 1.99570 7.44804i 0.149584 0.558255i
\(179\) −6.10778 + 10.5790i −0.456517 + 0.790711i −0.998774 0.0495017i \(-0.984237\pi\)
0.542257 + 0.840213i \(0.317570\pi\)
\(180\) −6.48131 + 1.72992i −0.483088 + 0.128940i
\(181\) 8.94144 7.50276i 0.664612 0.557675i −0.246853 0.969053i \(-0.579397\pi\)
0.911465 + 0.411377i \(0.134952\pi\)
\(182\) 4.48848 1.20268i 0.332708 0.0891489i
\(183\) −13.3454 0.492419i −0.986524 0.0364006i
\(184\) 2.60726 7.16340i 0.192210 0.528093i
\(185\) 2.39214 8.43713i 0.175874 0.620310i
\(186\) −6.34112 15.0211i −0.464954 1.10140i
\(187\) −11.9179 + 25.5580i −0.871522 + 1.86898i
\(188\) 3.09441 0.270725i 0.225683 0.0197447i
\(189\) 5.39028 4.31234i 0.392085 0.313677i
\(190\) −3.21137 9.20256i −0.232977 0.667624i
\(191\) 26.1328i 1.89091i −0.325760 0.945453i \(-0.605620\pi\)
0.325760 0.945453i \(-0.394380\pi\)
\(192\) 0.531979 + 1.64833i 0.0383923 + 0.118958i
\(193\) −12.8346 5.98487i −0.923855 0.430801i −0.0983220 0.995155i \(-0.531348\pi\)
−0.825533 + 0.564354i \(0.809125\pi\)
\(194\) 0.571659 + 3.24204i 0.0410427 + 0.232765i
\(195\) −10.0583 + 9.07485i −0.720292 + 0.649864i
\(196\) 4.91942 + 1.79052i 0.351387 + 0.127894i
\(197\) −0.464609 + 1.73395i −0.0331020 + 0.123539i −0.980500 0.196520i \(-0.937036\pi\)
0.947398 + 0.320059i \(0.103703\pi\)
\(198\) 12.1843 10.5074i 0.865899 0.746731i
\(199\) −1.70984 2.03771i −0.121207 0.144449i 0.702028 0.712149i \(-0.252278\pi\)
−0.823236 + 0.567700i \(0.807833\pi\)
\(200\) −4.79015 1.43335i −0.338714 0.101353i
\(201\) 20.0571 + 6.17540i 1.41472 + 0.435579i
\(202\) 7.90048 + 2.11693i 0.555876 + 0.148947i
\(203\) 3.08664 1.43933i 0.216640 0.101021i
\(204\) −9.09592 + 0.458689i −0.636841 + 0.0321146i
\(205\) −7.77337 6.71675i −0.542916 0.469118i
\(206\) −1.12990 3.10436i −0.0787235 0.216291i
\(207\) −11.7011 19.6493i −0.813282 1.36572i
\(208\) 2.47334 + 2.47334i 0.171496 + 0.171496i
\(209\) 16.5493 + 16.5109i 1.14474 + 1.14208i
\(210\) 5.10621 0.632166i 0.352362 0.0436236i
\(211\) −1.98922 1.66915i −0.136943 0.114909i 0.571743 0.820433i \(-0.306267\pi\)
−0.708686 + 0.705524i \(0.750712\pi\)
\(212\) 1.78367 + 0.831737i 0.122503 + 0.0571239i
\(213\) −3.41926 + 8.41508i −0.234284 + 0.576592i
\(214\) −5.92618 1.04495i −0.405105 0.0714310i
\(215\) −0.571559 + 1.18078i −0.0389800 + 0.0805287i
\(216\) 4.83991 + 1.89084i 0.329314 + 0.128655i
\(217\) 3.23672 + 12.0796i 0.219723 + 0.820018i
\(218\) −0.212825 + 2.43260i −0.0144143 + 0.164756i
\(219\) 13.1088 17.3247i 0.885811 1.17069i
\(220\) 11.8389 1.91126i 0.798179 0.128857i
\(221\) −15.9282 + 9.19617i −1.07145 + 0.618601i
\(222\) −5.36118 + 4.17159i −0.359819 + 0.279979i
\(223\) −22.1860 + 15.5348i −1.48569 + 1.04029i −0.501101 + 0.865389i \(0.667071\pi\)
−0.984586 + 0.174900i \(0.944040\pi\)
\(224\) −0.230689 1.30830i −0.0154135 0.0874145i
\(225\) −12.4187 + 8.41283i −0.827914 + 0.560856i
\(226\) 2.32574 + 1.95153i 0.154706 + 0.129814i
\(227\) −10.5330 10.5330i −0.699098 0.699098i 0.265118 0.964216i \(-0.414589\pi\)
−0.964216 + 0.265118i \(0.914589\pi\)
\(228\) −2.21322 + 7.21815i −0.146574 + 0.478033i
\(229\) 6.15926i 0.407015i −0.979073 0.203508i \(-0.934766\pi\)
0.979073 0.203508i \(-0.0652342\pi\)
\(230\) 0.246733 17.0440i 0.0162691 1.12385i
\(231\) −10.3628 + 6.70063i −0.681822 + 0.440869i
\(232\) 2.10000 + 1.47044i 0.137872 + 0.0965388i
\(233\) 16.0181 + 22.8762i 1.04938 + 1.49867i 0.855608 + 0.517625i \(0.173184\pi\)
0.193773 + 0.981046i \(0.437927\pi\)
\(234\) 10.4403 1.05565i 0.682502 0.0690099i
\(235\) 6.33680 2.84397i 0.413367 0.185520i
\(236\) −13.1349 7.58345i −0.855010 0.493640i
\(237\) 0.983083 0.136184i 0.0638581 0.00884613i
\(238\) 6.95885 + 0.608821i 0.451075 + 0.0394640i
\(239\) −5.78737 + 10.0240i −0.374354 + 0.648400i −0.990230 0.139443i \(-0.955469\pi\)
0.615876 + 0.787843i \(0.288802\pi\)
\(240\) 2.33392 + 3.09076i 0.150654 + 0.199508i
\(241\) −0.940669 0.342376i −0.0605938 0.0220544i 0.311545 0.950231i \(-0.399153\pi\)
−0.372139 + 0.928177i \(0.621376\pi\)
\(242\) −14.5502 + 10.1882i −0.935323 + 0.654920i
\(243\) 13.5763 7.66057i 0.870920 0.491426i
\(244\) 2.63706 + 7.24526i 0.168820 + 0.463830i
\(245\) 11.7049 + 0.169443i 0.747798 + 0.0108253i
\(246\) 1.77477 + 7.75720i 0.113155 + 0.494581i
\(247\) 2.66501 + 15.0120i 0.169571 + 0.955190i
\(248\) −6.65638 + 6.65638i −0.422681 + 0.422681i
\(249\) −10.6104 + 20.7228i −0.672406 + 1.31325i
\(250\) −11.1696 + 0.489998i −0.706427 + 0.0309902i
\(251\) −20.4656 + 3.60863i −1.29178 + 0.227775i −0.776973 0.629534i \(-0.783246\pi\)
−0.514802 + 0.857309i \(0.672135\pi\)
\(252\) −3.47809 1.94593i −0.219099 0.122582i
\(253\) 17.2781 + 37.0529i 1.08626 + 2.32950i
\(254\) −2.68604 4.65236i −0.168537 0.291915i
\(255\) −18.8744 + 7.64778i −1.18196 + 0.478923i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −4.47707 0.391693i −0.279272 0.0244332i −0.0533408 0.998576i \(-0.516987\pi\)
−0.225931 + 0.974143i \(0.572543\pi\)
\(258\) 0.898146 0.475280i 0.0559161 0.0295896i
\(259\) 4.51217 2.60511i 0.280373 0.161873i
\(260\) 7.04001 + 3.40773i 0.436603 + 0.211338i
\(261\) 7.40126 2.09068i 0.458127 0.129410i
\(262\) 13.4753 + 9.43552i 0.832508 + 0.582929i
\(263\) −1.77574 + 3.80808i −0.109497 + 0.234816i −0.953419 0.301649i \(-0.902463\pi\)
0.843922 + 0.536465i \(0.180241\pi\)
\(264\) −8.26832 4.23350i −0.508880 0.260554i
\(265\) 4.37795 + 0.446964i 0.268936 + 0.0274568i
\(266\) 2.44117 5.25102i 0.149677 0.321961i
\(267\) −7.09967 + 11.3121i −0.434493 + 0.692288i
\(268\) −1.05602 12.0703i −0.0645064 0.737312i
\(269\) 7.87469 2.86615i 0.480128 0.174752i −0.0906067 0.995887i \(-0.528881\pi\)
0.570735 + 0.821134i \(0.306658\pi\)
\(270\) 11.6106 + 0.439698i 0.706600 + 0.0267592i
\(271\) −0.0185044 + 0.104944i −0.00112406 + 0.00637489i −0.985365 0.170460i \(-0.945475\pi\)
0.984241 + 0.176835i \(0.0565858\pi\)
\(272\) 2.22221 + 4.76555i 0.134741 + 0.288954i
\(273\) −8.04305 0.296771i −0.486787 0.0179614i
\(274\) 12.7532 + 7.36307i 0.770450 + 0.444819i
\(275\) 23.6012 12.7298i 1.42320 0.767638i
\(276\) −7.96696 + 10.5292i −0.479555 + 0.633783i
\(277\) −5.05671 18.8719i −0.303828 1.13390i −0.933950 0.357405i \(-0.883662\pi\)
0.630122 0.776496i \(-0.283005\pi\)
\(278\) 3.74063 + 1.00230i 0.224348 + 0.0601139i
\(279\) 2.84101 + 28.0974i 0.170087 + 1.68215i
\(280\) −1.44790 2.59383i −0.0865283 0.155011i
\(281\) 0.643203 0.113414i 0.0383703 0.00676571i −0.154430 0.988004i \(-0.549354\pi\)
0.192800 + 0.981238i \(0.438243\pi\)
\(282\) −5.26035 1.12898i −0.313249 0.0672300i
\(283\) −0.567199 6.48312i −0.0337165 0.385381i −0.994240 0.107181i \(-0.965818\pi\)
0.960523 0.278200i \(-0.0897379\pi\)
\(284\) 5.24420 0.311186
\(285\) 0.625705 + 16.8703i 0.0370636 + 0.999313i
\(286\) −18.7591 −1.10925
\(287\) −0.531956 6.08028i −0.0314004 0.358908i
\(288\) −0.0405112 2.99973i −0.00238715 0.176761i
\(289\) −10.4869 + 1.84913i −0.616877 + 0.108772i
\(290\) 5.51506 + 1.56366i 0.323855 + 0.0918212i
\(291\) 0.706072 5.65811i 0.0413907 0.331684i
\(292\) −12.1157 3.24638i −0.709016 0.189980i
\(293\) −6.31955 23.5849i −0.369192 1.37784i −0.861648 0.507506i \(-0.830567\pi\)
0.492456 0.870337i \(-0.336099\pi\)
\(294\) −7.23085 5.47126i −0.421712 0.319090i
\(295\) −33.3102 6.37196i −1.93940 0.370990i
\(296\) 3.39649 + 1.96096i 0.197417 + 0.113979i
\(297\) −25.5248 + 11.1837i −1.48110 + 0.648942i
\(298\) 5.53658 + 11.8732i 0.320725 + 0.687797i
\(299\) −4.63023 + 26.2594i −0.267773 + 1.51862i
\(300\) 7.19890 + 4.81413i 0.415629 + 0.277944i
\(301\) −0.732383 + 0.266566i −0.0422138 + 0.0153646i
\(302\) 1.87141 + 21.3904i 0.107688 + 1.23088i
\(303\) −11.9992 7.53095i −0.689339 0.432642i
\(304\) 4.34187 0.384949i 0.249023 0.0220783i
\(305\) 10.8897 + 13.3661i 0.623544 + 0.765341i
\(306\) 15.2908 + 3.87664i 0.874119 + 0.221613i
\(307\) 8.92235 19.1341i 0.509226 1.09204i −0.468752 0.883330i \(-0.655296\pi\)
0.977978 0.208708i \(-0.0669259\pi\)
\(308\) 5.83625 + 4.08659i 0.332551 + 0.232855i
\(309\) 0.288182 + 5.71473i 0.0163941 + 0.325100i
\(310\) −9.17104 + 18.9464i −0.520880 + 1.07608i
\(311\) −24.5864 + 14.1950i −1.39417 + 0.804923i −0.993773 0.111420i \(-0.964460\pi\)
−0.400394 + 0.916343i \(0.631127\pi\)
\(312\) −2.83369 5.35488i −0.160426 0.303160i
\(313\) −25.3827 2.22070i −1.43472 0.125521i −0.656883 0.753992i \(-0.728126\pi\)
−0.777833 + 0.628471i \(0.783681\pi\)
\(314\) −0.0987785 + 0.0828850i −0.00557440 + 0.00467747i
\(315\) −8.77484 1.55603i −0.494406 0.0876723i
\(316\) −0.286502 0.496236i −0.0161170 0.0279154i
\(317\) 4.72325 + 10.1290i 0.265284 + 0.568904i 0.993154 0.116811i \(-0.0372673\pi\)
−0.727870 + 0.685715i \(0.759489\pi\)
\(318\) −2.52870 2.28591i −0.141803 0.128188i
\(319\) −13.5400 + 2.38747i −0.758096 + 0.133673i
\(320\) 1.14595 1.92011i 0.0640604 0.107337i
\(321\) 9.27741 + 4.75017i 0.517814 + 0.265129i
\(322\) 7.16101 7.16101i 0.399067 0.399067i
\(323\) −3.95378 + 22.5764i −0.219994 + 1.25618i
\(324\) −7.04811 5.59680i −0.391562 0.310933i
\(325\) 17.3712 + 2.02797i 0.963581 + 0.112491i
\(326\) 4.59271 + 12.6184i 0.254367 + 0.698867i
\(327\) 1.59213 3.91837i 0.0880450 0.216686i
\(328\) 3.76347 2.63521i 0.207803 0.145505i
\(329\) 3.87771 + 1.41137i 0.213785 + 0.0778113i
\(330\) −20.5718 2.87013i −1.13244 0.157996i
\(331\) 12.8597 22.2737i 0.706835 1.22427i −0.259190 0.965826i \(-0.583456\pi\)
0.966025 0.258448i \(-0.0832110\pi\)
\(332\) 13.3903 + 1.17150i 0.734886 + 0.0642942i
\(333\) 11.0009 4.17307i 0.602844 0.228683i
\(334\) −1.87786 1.08418i −0.102752 0.0593238i
\(335\) −11.0934 24.7179i −0.606099 1.35048i
\(336\) −0.284930 + 2.28329i −0.0155442 + 0.124564i
\(337\) −2.77873 3.96843i −0.151367 0.216174i 0.736306 0.676648i \(-0.236568\pi\)
−0.887673 + 0.460474i \(0.847679\pi\)
\(338\) 0.626768 + 0.438868i 0.0340917 + 0.0238713i
\(339\) −2.85531 4.41586i −0.155079 0.239837i
\(340\) 8.19274 + 8.43342i 0.444313 + 0.457366i
\(341\) 50.4855i 2.73394i
\(342\) 7.34258 10.8207i 0.397041 0.585114i
\(343\) 11.4934 + 11.4934i 0.620587 + 0.620587i
\(344\) −0.449418 0.377106i −0.0242310 0.0203322i
\(345\) −9.09531 + 28.0884i −0.489675 + 1.51223i
\(346\) −1.30468 7.39922i −0.0701401 0.397784i
\(347\) 18.2061 12.7480i 0.977354 0.684350i 0.0283442 0.999598i \(-0.490977\pi\)
0.949009 + 0.315248i \(0.102088\pi\)
\(348\) −2.72683 3.50442i −0.146173 0.187857i
\(349\) 20.1776 11.6496i 1.08008 0.623587i 0.149165 0.988812i \(-0.452342\pi\)
0.930919 + 0.365226i \(0.119008\pi\)
\(350\) −4.96266 4.41516i −0.265265 0.236000i
\(351\) −17.8205 3.57363i −0.951188 0.190746i
\(352\) −0.467422 + 5.34266i −0.0249137 + 0.284765i
\(353\) 6.17329 + 23.0390i 0.328571 + 1.22624i 0.910673 + 0.413128i \(0.135564\pi\)
−0.582102 + 0.813116i \(0.697770\pi\)
\(354\) 17.8780 + 19.2479i 0.950206 + 1.02301i
\(355\) 11.0761 3.85074i 0.587858 0.204376i
\(356\) 7.59364 + 1.33896i 0.402462 + 0.0709649i
\(357\) −11.2091 4.55455i −0.593251 0.241053i
\(358\) −11.0711 5.16252i −0.585124 0.272848i
\(359\) 16.9445 + 14.2181i 0.894296 + 0.750404i 0.969067 0.246797i \(-0.0793781\pi\)
−0.0747709 + 0.997201i \(0.523823\pi\)
\(360\) −2.28822 6.30587i −0.120600 0.332349i
\(361\) 16.4765 + 9.46173i 0.867185 + 0.497986i
\(362\) 8.25350 + 8.25350i 0.433794 + 0.433794i
\(363\) 29.2785 9.44930i 1.53672 0.495960i
\(364\) 1.58930 + 4.36658i 0.0833022 + 0.228871i
\(365\) −27.9729 + 2.03978i −1.46417 + 0.106767i
\(366\) −0.672587 13.3376i −0.0351567 0.697166i
\(367\) 16.6067 7.74385i 0.866865 0.404226i 0.0622767 0.998059i \(-0.480164\pi\)
0.804588 + 0.593833i \(0.202386\pi\)
\(368\) 7.36338 + 1.97301i 0.383843 + 0.102850i
\(369\) 1.01575 13.7456i 0.0528777 0.715565i
\(370\) 8.61351 + 1.64769i 0.447795 + 0.0856594i
\(371\) 1.68059 + 2.00285i 0.0872518 + 0.103983i
\(372\) 14.4113 7.62617i 0.747192 0.395399i
\(373\) 3.10888 11.6025i 0.160972 0.600754i −0.837548 0.546364i \(-0.816012\pi\)
0.998520 0.0543907i \(-0.0173216\pi\)
\(374\) −26.4994 9.64501i −1.37025 0.498731i
\(375\) 18.7395 + 4.88171i 0.967704 + 0.252090i
\(376\) 0.539390 + 3.05904i 0.0278169 + 0.157758i
\(377\) −8.12699 3.78968i −0.418562 0.195178i
\(378\) 4.76573 + 4.99392i 0.245123 + 0.256860i
\(379\) 9.26421i 0.475871i 0.971281 + 0.237935i \(0.0764706\pi\)
−0.971281 + 0.237935i \(0.923529\pi\)
\(380\) 8.88765 4.00121i 0.455927 0.205258i
\(381\) 2.07520 + 9.07036i 0.106316 + 0.464689i
\(382\) 26.0334 2.27763i 1.33198 0.116533i
\(383\) −3.64878 + 7.82484i −0.186444 + 0.399831i −0.977206 0.212293i \(-0.931907\pi\)
0.790762 + 0.612124i \(0.209685\pi\)
\(384\) −1.59569 + 0.673617i −0.0814299 + 0.0343754i
\(385\) 15.3273 + 4.34567i 0.781150 + 0.221476i
\(386\) 4.84349 13.3074i 0.246527 0.677328i
\(387\) −1.72900 + 0.329002i −0.0878898 + 0.0167241i
\(388\) −3.17988 + 0.852045i −0.161434 + 0.0432560i
\(389\) −3.42337 + 2.87255i −0.173572 + 0.145644i −0.725435 0.688290i \(-0.758361\pi\)
0.551863 + 0.833935i \(0.313917\pi\)
\(390\) −9.91696 9.22913i −0.502165 0.467335i
\(391\) −20.0420 + 34.7137i −1.01357 + 1.75555i
\(392\) −1.35495 + 5.05675i −0.0684354 + 0.255404i
\(393\) −17.4976 22.4872i −0.882635 1.13433i
\(394\) −1.76784 0.311718i −0.0890625 0.0157041i
\(395\) −0.969489 0.837708i −0.0487803 0.0421497i
\(396\) 11.5294 + 11.2221i 0.579373 + 0.563933i
\(397\) −0.934852 + 0.0817890i −0.0469189 + 0.00410487i −0.110591 0.993866i \(-0.535274\pi\)
0.0636721 + 0.997971i \(0.479719\pi\)
\(398\) 1.88093 1.88093i 0.0942825 0.0942825i
\(399\) −6.71732 + 7.44816i −0.336287 + 0.372874i
\(400\) 1.01041 4.89684i 0.0505205 0.244842i
\(401\) 4.07946 4.86171i 0.203718 0.242782i −0.654506 0.756057i \(-0.727123\pi\)
0.858224 + 0.513275i \(0.171568\pi\)
\(402\) −4.40381 + 20.5190i −0.219642 + 1.02339i
\(403\) 18.8862 26.9723i 0.940788 1.34358i
\(404\) −1.42030 + 8.05492i −0.0706626 + 0.400747i
\(405\) −18.9957 6.64548i −0.943905 0.330216i
\(406\) 1.70287 + 2.94945i 0.0845119 + 0.146379i
\(407\) −20.3169 + 5.44389i −1.00707 + 0.269843i
\(408\) −1.24970 9.02133i −0.0618696 0.446622i
\(409\) −9.11814 10.8666i −0.450863 0.537318i 0.491957 0.870619i \(-0.336282\pi\)
−0.942820 + 0.333302i \(0.891837\pi\)
\(410\) 6.01370 8.32919i 0.296995 0.411350i
\(411\) −17.3585 18.6885i −0.856230 0.921837i
\(412\) 2.99407 1.39616i 0.147507 0.0687838i
\(413\) −11.5570 16.5051i −0.568681 0.812161i
\(414\) 18.5547 13.3691i 0.911912 0.657056i
\(415\) 29.1413 7.35800i 1.43049 0.361190i
\(416\) −2.24837 + 2.67950i −0.110235 + 0.131373i
\(417\) −5.68127 3.56567i −0.278213 0.174612i
\(418\) −15.0057 + 17.9253i −0.733952 + 0.876757i
\(419\) −30.5521 −1.49257 −0.746285 0.665627i \(-0.768164\pi\)
−0.746285 + 0.665627i \(0.768164\pi\)
\(420\) 1.07480 + 5.03168i 0.0524447 + 0.245521i
\(421\) 2.76749 1.00728i 0.134879 0.0490920i −0.273699 0.961816i \(-0.588247\pi\)
0.408578 + 0.912723i \(0.366025\pi\)
\(422\) 1.48943 2.12713i 0.0725043 0.103547i
\(423\) 8.13239 + 4.54994i 0.395411 + 0.221225i
\(424\) −0.673115 + 1.84937i −0.0326894 + 0.0898133i
\(425\) 23.4961 + 11.7961i 1.13973 + 0.572197i
\(426\) −8.68107 2.67282i −0.420599 0.129499i
\(427\) −0.892730 + 10.2039i −0.0432022 + 0.493804i
\(428\) 0.524468 5.99470i 0.0253511 0.289765i
\(429\) 31.0532 + 9.56102i 1.49926 + 0.461610i
\(430\) −1.22610 0.466473i −0.0591280 0.0224953i
\(431\) −5.28621 + 14.5237i −0.254628 + 0.699584i 0.744849 + 0.667233i \(0.232521\pi\)
−0.999477 + 0.0323505i \(0.989701\pi\)
\(432\) −1.46182 + 4.98629i −0.0703317 + 0.239903i
\(433\) 7.60051 10.8547i 0.365257 0.521642i −0.593891 0.804546i \(-0.702409\pi\)
0.959148 + 0.282904i \(0.0912978\pi\)
\(434\) −11.7516 + 4.27722i −0.564093 + 0.205313i
\(435\) −8.33248 5.39930i −0.399512 0.258877i
\(436\) −2.44189 −0.116945
\(437\) 21.3884 + 25.4296i 1.02315 + 1.21646i
\(438\) 18.4013 + 11.5490i 0.879247 + 0.551831i
\(439\) −17.5128 + 20.8709i −0.835839 + 0.996115i 0.164114 + 0.986441i \(0.447524\pi\)
−0.999953 + 0.00967317i \(0.996921\pi\)
\(440\) 2.93581 + 11.6273i 0.139959 + 0.554309i
\(441\) 9.18115 + 12.7423i 0.437198 + 0.606776i
\(442\) −10.5494 15.0661i −0.501784 0.716622i
\(443\) 19.2043 8.95509i 0.912422 0.425469i 0.0910394 0.995847i \(-0.470981\pi\)
0.821382 + 0.570378i \(0.193203\pi\)
\(444\) −4.62298 4.97720i −0.219397 0.236208i
\(445\) 17.0215 2.74792i 0.806894 0.130264i
\(446\) −17.4094 20.7477i −0.824357 0.982430i
\(447\) −3.11360 22.4764i −0.147268 1.06310i
\(448\) 1.28322 0.343837i 0.0606263 0.0162448i
\(449\) −10.1864 17.6434i −0.480727 0.832643i 0.519029 0.854757i \(-0.326294\pi\)
−0.999755 + 0.0221135i \(0.992960\pi\)
\(450\) −9.46318 11.6382i −0.446099 0.548631i
\(451\) −4.27866 + 24.2655i −0.201474 + 1.14262i
\(452\) −1.74140 + 2.48698i −0.0819087 + 0.116978i
\(453\) 7.80420 36.3627i 0.366673 1.70847i
\(454\) 9.57489 11.4109i 0.449372 0.535540i
\(455\) 6.56303 + 8.05550i 0.307680 + 0.377648i
\(456\) −7.38357 1.57570i −0.345768 0.0737889i
\(457\) 18.6994 18.6994i 0.874723 0.874723i −0.118260 0.992983i \(-0.537732\pi\)
0.992983 + 0.118260i \(0.0377316\pi\)
\(458\) 6.13582 0.536815i 0.286708 0.0250837i
\(459\) −23.3361 14.2106i −1.08924 0.663293i
\(460\) 17.0007 1.23969i 0.792661 0.0578009i
\(461\) 1.99173 + 0.351195i 0.0927639 + 0.0163568i 0.219837 0.975537i \(-0.429447\pi\)
−0.127074 + 0.991893i \(0.540558\pi\)
\(462\) −7.57831 9.73937i −0.352575 0.453117i
\(463\) −1.67368 + 6.24627i −0.0777827 + 0.290289i −0.993850 0.110736i \(-0.964679\pi\)
0.916067 + 0.401025i \(0.131346\pi\)
\(464\) −1.28181 + 2.22017i −0.0595067 + 0.103069i
\(465\) 24.8379 26.6890i 1.15183 1.23767i
\(466\) −21.3931 + 17.9509i −0.991016 + 0.831561i
\(467\) 17.6589 4.73170i 0.817158 0.218957i 0.174054 0.984736i \(-0.444313\pi\)
0.643104 + 0.765779i \(0.277646\pi\)
\(468\) 1.96156 + 10.3085i 0.0906732 + 0.476512i
\(469\) 5.50531 15.1257i 0.254212 0.698441i
\(470\) 3.38543 + 6.06482i 0.156158 + 0.279749i
\(471\) 0.205759 0.0868603i 0.00948086 0.00400231i
\(472\) 6.40981 13.7459i 0.295035 0.632705i
\(473\) 3.13440 0.274224i 0.144120 0.0126088i
\(474\) 0.221347 + 0.967473i 0.0101668 + 0.0444375i
\(475\) 15.8333 14.9769i 0.726481 0.687187i
\(476\) 6.98543i 0.320177i
\(477\) 3.02086 + 5.07283i 0.138316 + 0.232269i
\(478\) −10.4903 4.89170i −0.479814 0.223741i
\(479\) −2.79023 15.8242i −0.127489 0.723025i −0.979798 0.199987i \(-0.935910\pi\)
0.852310 0.523037i \(-0.175201\pi\)
\(480\) −2.87559 + 2.59442i −0.131252 + 0.118418i
\(481\) −12.8909 4.69192i −0.587776 0.213933i
\(482\) 0.259088 0.966930i 0.0118011 0.0440424i
\(483\) −15.5039 + 8.20432i −0.705450 + 0.373309i
\(484\) −11.4175 13.6069i −0.518979 0.618495i
\(485\) −6.09047 + 4.13451i −0.276554 + 0.187739i
\(486\) 8.81467 + 12.8570i 0.399841 + 0.583204i
\(487\) 6.43626 + 1.72459i 0.291655 + 0.0781487i 0.401680 0.915780i \(-0.368426\pi\)
−0.110025 + 0.993929i \(0.535093\pi\)
\(488\) −6.98785 + 3.25849i −0.316325 + 0.147505i
\(489\) −1.17138 23.2288i −0.0529717 1.05044i
\(490\) 0.851350 + 11.6751i 0.0384601 + 0.527428i
\(491\) 13.9132 + 38.2263i 0.627895 + 1.72513i 0.686783 + 0.726863i \(0.259022\pi\)
−0.0588875 + 0.998265i \(0.518755\pi\)
\(492\) −7.57301 + 2.44410i −0.341417 + 0.110188i
\(493\) −9.53185 9.53185i −0.429293 0.429293i
\(494\) −14.7226 + 3.96325i −0.662401 + 0.178315i
\(495\) 32.5911 + 15.2360i 1.46486 + 0.684808i
\(496\) −7.21120 6.05091i −0.323792 0.271694i
\(497\) 6.31409 + 2.94431i 0.283226 + 0.132070i
\(498\) −21.5687 8.76390i −0.966516 0.392720i
\(499\) 28.7195 + 5.06402i 1.28566 + 0.226697i 0.774382 0.632718i \(-0.218061\pi\)
0.511279 + 0.859415i \(0.329172\pi\)
\(500\) −1.46163 11.0844i −0.0653660 0.495709i
\(501\) 2.55596 + 2.75181i 0.114192 + 0.122942i
\(502\) −5.37859 20.0732i −0.240058 0.895910i
\(503\) −0.433445 + 4.95430i −0.0193264 + 0.220901i 0.980390 + 0.197069i \(0.0631423\pi\)
−0.999716 + 0.0238323i \(0.992413\pi\)
\(504\) 1.63539 3.63446i 0.0728462 0.161892i
\(505\) 2.91485 + 18.0554i 0.129709 + 0.803456i
\(506\) −35.4060 + 20.4417i −1.57399 + 0.908744i
\(507\) −0.813852 1.04593i −0.0361444 0.0464515i
\(508\) 4.40056 3.08130i 0.195243 0.136711i
\(509\) −2.14239 12.1501i −0.0949598 0.538544i −0.994760 0.102241i \(-0.967399\pi\)
0.899800 0.436303i \(-0.143712\pi\)
\(510\) −9.26369 18.1360i −0.410203 0.803076i
\(511\) −12.7648 10.7109i −0.564681 0.473824i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −17.6696 + 14.1698i −0.780134 + 0.625613i
\(514\) 4.49418i 0.198230i
\(515\) 5.29850 5.14728i 0.233480 0.226816i
\(516\) 0.551750 + 0.853304i 0.0242894 + 0.0375646i
\(517\) −13.6462 9.55516i −0.600158 0.420235i
\(518\) 2.98845 + 4.26795i 0.131305 + 0.187523i
\(519\) −1.61145 + 12.9134i −0.0707349 + 0.566834i
\(520\) −2.78118 + 7.31022i −0.121963 + 0.320574i
\(521\) −1.73288 1.00048i −0.0759189 0.0438318i 0.461560 0.887109i \(-0.347290\pi\)
−0.537479 + 0.843277i \(0.680623\pi\)
\(522\) 2.72779 + 7.19088i 0.119392 + 0.314736i
\(523\) −2.98972 0.261567i −0.130731 0.0114375i 0.0216022 0.999767i \(-0.493123\pi\)
−0.152334 + 0.988329i \(0.548679\pi\)
\(524\) −8.22517 + 14.2464i −0.359318 + 0.622357i
\(525\) 5.96473 + 9.83804i 0.260322 + 0.429367i
\(526\) −3.94835 1.43708i −0.172156 0.0626598i
\(527\) 40.5467 28.3911i 1.76624 1.23674i
\(528\) 3.49676 8.60583i 0.152177 0.374521i
\(529\) 12.0090 + 32.9946i 0.522132 + 1.43455i
\(530\) −0.0636990 + 4.40025i −0.00276691 + 0.191135i
\(531\) −19.7845 40.9742i −0.858576 1.77813i
\(532\) 5.44380 + 1.97422i 0.236019 + 0.0855933i
\(533\) −11.3634 + 11.3634i −0.492203 + 0.492203i
\(534\) −11.8878 6.08674i −0.514436 0.263399i
\(535\) −3.29411 13.0463i −0.142417 0.564041i
\(536\) 11.9323 2.10399i 0.515399 0.0908787i
\(537\) 15.6955 + 14.1885i 0.677309 + 0.612278i
\(538\) 3.54157 + 7.59492i 0.152688 + 0.327440i
\(539\) −14.0382 24.3149i −0.604668 1.04732i
\(540\) 0.573908 + 11.6048i 0.0246971 + 0.499390i
\(541\) −14.4373 + 12.1144i −0.620710 + 0.520837i −0.898027 0.439941i \(-0.854999\pi\)
0.277317 + 0.960779i \(0.410555\pi\)
\(542\) −0.106157 0.00928756i −0.00455985 0.000398935i
\(543\) −9.45598 17.8691i −0.405795 0.766838i
\(544\) −4.55374 + 2.62910i −0.195240 + 0.112722i
\(545\) −5.15744 + 1.79305i −0.220920 + 0.0768056i
\(546\) −0.405356 8.03831i −0.0173476 0.344008i
\(547\) 14.8732 + 10.4144i 0.635934 + 0.445286i 0.846569 0.532279i \(-0.178664\pi\)
−0.210635 + 0.977565i \(0.567553\pi\)
\(548\) −6.22354 + 13.3464i −0.265856 + 0.570131i
\(549\) −5.68442 + 22.4214i −0.242605 + 0.956920i
\(550\) 14.7384 + 22.4019i 0.628447 + 0.955219i
\(551\) −10.1221 + 4.73435i −0.431217 + 0.201690i
\(552\) −11.1835 7.01896i −0.476001 0.298747i
\(553\) −0.0663452 0.758329i −0.00282128 0.0322474i
\(554\) 18.3593 6.68226i 0.780014 0.283902i
\(555\) −13.4187 7.11760i −0.569593 0.302125i
\(556\) −0.672468 + 3.81376i −0.0285190 + 0.161739i
\(557\) −10.6482 22.8352i −0.451179 0.967557i −0.991979 0.126405i \(-0.959656\pi\)
0.540799 0.841152i \(-0.318122\pi\)
\(558\) −27.7429 + 5.27905i −1.17445 + 0.223480i
\(559\) 1.77716 + 1.02604i 0.0751658 + 0.0433970i
\(560\) 2.45776 1.66845i 0.103859 0.0705050i
\(561\) 38.9505 + 29.4720i 1.64449 + 1.24431i
\(562\) 0.169041 + 0.630870i 0.00713057 + 0.0266117i
\(563\) −14.4554 3.87331i −0.609222 0.163241i −0.0589989 0.998258i \(-0.518791\pi\)
−0.550224 + 0.835017i \(0.685458\pi\)
\(564\) 0.666217 5.33873i 0.0280528 0.224801i
\(565\) −1.85180 + 6.53136i −0.0779060 + 0.274776i
\(566\) 6.40901 1.13008i 0.269391 0.0475009i
\(567\) −5.34376 10.6957i −0.224417 0.449178i
\(568\) 0.457062 + 5.22424i 0.0191779 + 0.219204i
\(569\) −19.4507 −0.815414 −0.407707 0.913113i \(-0.633672\pi\)
−0.407707 + 0.913113i \(0.633672\pi\)
\(570\) −16.7516 + 2.09367i −0.701648 + 0.0876943i
\(571\) 21.2385 0.888803 0.444401 0.895828i \(-0.353416\pi\)
0.444401 + 0.895828i \(0.353416\pi\)
\(572\) −1.63497 18.6878i −0.0683614 0.781374i
\(573\) −44.2556 9.49819i −1.84880 0.396793i
\(574\) 6.01078 1.05986i 0.250885 0.0442378i
\(575\) 34.9963 15.1017i 1.45945 0.629783i
\(576\) 2.98478 0.301800i 0.124366 0.0125750i
\(577\) −19.3178 5.17619i −0.804210 0.215487i −0.166779 0.985994i \(-0.553337\pi\)
−0.637432 + 0.770507i \(0.720003\pi\)
\(578\) −2.75608 10.2858i −0.114638 0.427835i
\(579\) −14.8001 + 19.5600i −0.615073 + 0.812885i
\(580\) −1.07704 + 5.63036i −0.0447216 + 0.233788i
\(581\) 15.4643 + 8.92834i 0.641569 + 0.370410i
\(582\) 5.69812 + 0.210249i 0.236195 + 0.00871509i
\(583\) −4.46066 9.56593i −0.184742 0.396180i
\(584\) 2.17808 12.3525i 0.0901296 0.511150i
\(585\) 11.7124 + 20.3320i 0.484247 + 0.840624i
\(586\) 22.9444 8.35106i 0.947822 0.344979i
\(587\) −0.743185 8.49465i −0.0306745 0.350612i −0.995986 0.0895102i \(-0.971470\pi\)
0.965311 0.261101i \(-0.0840857\pi\)
\(588\) 4.82023 7.68019i 0.198783 0.316726i
\(589\) −10.6661 39.6222i −0.439489 1.63260i
\(590\) 3.44454 33.7388i 0.141809 1.38901i
\(591\) 2.76755 + 1.41703i 0.113842 + 0.0582887i
\(592\) −1.65748 + 3.55447i −0.0681219 + 0.146088i
\(593\) −3.29616 2.30799i −0.135357 0.0947779i 0.503937 0.863740i \(-0.331884\pi\)
−0.639294 + 0.768963i \(0.720773\pi\)
\(594\) −13.3657 24.4529i −0.548403 1.00332i
\(595\) 5.12930 + 14.7537i 0.210281 + 0.604843i
\(596\) −11.3455 + 6.55033i −0.464730 + 0.268312i
\(597\) −4.07228 + 2.15497i −0.166668 + 0.0881970i
\(598\) −26.5630 2.32396i −1.08624 0.0950338i
\(599\) −3.86227 + 3.24083i −0.157808 + 0.132417i −0.718273 0.695762i \(-0.755067\pi\)
0.560465 + 0.828178i \(0.310623\pi\)
\(600\) −4.16838 + 7.59109i −0.170174 + 0.309905i
\(601\) 1.91160 + 3.31099i 0.0779759 + 0.135058i 0.902377 0.430948i \(-0.141821\pi\)
−0.824401 + 0.566007i \(0.808488\pi\)
\(602\) −0.329383 0.706363i −0.0134246 0.0287892i
\(603\) 17.7479 31.7219i 0.722750 1.29182i
\(604\) −21.1459 + 3.72859i −0.860413 + 0.151714i
\(605\) −34.1059 20.3549i −1.38660 0.827545i
\(606\) 6.45648 12.6099i 0.262277 0.512244i
\(607\) 2.84202 2.84202i 0.115354 0.115354i −0.647074 0.762428i \(-0.724007\pi\)
0.762428 + 0.647074i \(0.224007\pi\)
\(608\) 0.761902 + 4.29180i 0.0308992 + 0.174055i
\(609\) −1.31561 5.75033i −0.0533113 0.233015i
\(610\) −12.3661 + 12.0132i −0.500690 + 0.486401i
\(611\) −3.71607 10.2098i −0.150336 0.413045i
\(612\) −2.52920 + 15.5705i −0.102237 + 0.629401i
\(613\) 5.51236 3.85979i 0.222642 0.155896i −0.456934 0.889500i \(-0.651053\pi\)
0.679576 + 0.733605i \(0.262164\pi\)
\(614\) 19.8389 + 7.22076i 0.800632 + 0.291406i
\(615\) −14.2000 + 10.7228i −0.572600 + 0.432387i
\(616\) −3.56237 + 6.17021i −0.143532 + 0.248605i
\(617\) −6.14646 0.537745i −0.247447 0.0216488i −0.0372425 0.999306i \(-0.511857\pi\)
−0.210204 + 0.977657i \(0.567413\pi\)
\(618\) −5.66787 + 0.785157i −0.227995 + 0.0315836i
\(619\) −13.5446 7.81999i −0.544404 0.314312i 0.202458 0.979291i \(-0.435107\pi\)
−0.746862 + 0.664979i \(0.768440\pi\)
\(620\) −19.6736 7.48485i −0.790112 0.300599i
\(621\) −37.5286 + 12.6740i −1.50597 + 0.508589i
\(622\) −16.2838 23.2557i −0.652921 0.932468i
\(623\) 8.39110 + 5.87551i 0.336182 + 0.235397i
\(624\) 5.08753 3.28962i 0.203664 0.131690i
\(625\) −11.2262 22.3377i −0.449047 0.893508i
\(626\) 25.4797i 1.01837i
\(627\) 33.9759 22.0250i 1.35687 0.879594i
\(628\) −0.0911788 0.0911788i −0.00363843 0.00363843i
\(629\) −15.7976 13.2557i −0.629891 0.528541i
\(630\) 0.785329 8.87707i 0.0312883 0.353671i
\(631\) −1.33425 7.56690i −0.0531156 0.301234i 0.946664 0.322222i \(-0.104430\pi\)
−0.999780 + 0.0209884i \(0.993319\pi\)
\(632\) 0.469377 0.328661i 0.0186708 0.0130734i
\(633\) −3.54969 + 2.76205i −0.141087 + 0.109782i
\(634\) −9.67885 + 5.58808i −0.384396 + 0.221931i
\(635\) 7.03171 9.73918i 0.279045 0.386488i
\(636\) 2.05682 2.71831i 0.0815584 0.107788i
\(637\) 1.59596 18.2420i 0.0632344 0.722773i
\(638\) −3.55848 13.2804i −0.140882 0.525777i
\(639\) 13.0081 + 8.84900i 0.514591 + 0.350061i
\(640\) 2.01267 + 0.974238i 0.0795580 + 0.0385101i
\(641\) −26.2425 4.62726i −1.03652 0.182766i −0.370600 0.928792i \(-0.620848\pi\)
−0.665916 + 0.746027i \(0.731959\pi\)
\(642\) −3.92352 + 9.65611i −0.154849 + 0.381096i
\(643\) −1.71344 0.798990i −0.0675715 0.0315091i 0.388539 0.921432i \(-0.372980\pi\)
−0.456110 + 0.889923i \(0.650758\pi\)
\(644\) 7.75788 + 6.50964i 0.305703 + 0.256516i
\(645\) 1.79190 + 1.39709i 0.0705561 + 0.0550105i
\(646\) −22.8351 1.97107i −0.898433 0.0775509i
\(647\) 25.1858 + 25.1858i 0.990157 + 0.990157i 0.999952 0.00979501i \(-0.00311790\pi\)
−0.00979501 + 0.999952i \(0.503118\pi\)
\(648\) 4.96121 7.50908i 0.194895 0.294985i
\(649\) 27.8203 + 76.4357i 1.09204 + 3.00036i
\(650\) −0.506249 + 17.4819i −0.0198567 + 0.685695i
\(651\) 21.6331 1.09091i 0.847868 0.0427563i
\(652\) −12.1701 + 5.67500i −0.476617 + 0.222250i
\(653\) −10.4769 2.80727i −0.409992 0.109857i 0.0479273 0.998851i \(-0.484738\pi\)
−0.457919 + 0.888994i \(0.651405\pi\)
\(654\) 4.04222 + 1.24456i 0.158063 + 0.0486663i
\(655\) −6.91117 + 36.1290i −0.270042 + 1.41168i
\(656\) 2.95319 + 3.51947i 0.115303 + 0.137412i
\(657\) −24.5746 28.4964i −0.958748 1.11175i
\(658\) −1.06803 + 3.98596i −0.0416363 + 0.155389i
\(659\) 4.15751 + 1.51321i 0.161954 + 0.0589463i 0.421725 0.906724i \(-0.361425\pi\)
−0.259771 + 0.965670i \(0.583647\pi\)
\(660\) 1.06626 20.7437i 0.0415041 0.807447i
\(661\) 1.45703 + 8.26320i 0.0566717 + 0.321401i 0.999944 0.0106200i \(-0.00338051\pi\)
−0.943272 + 0.332021i \(0.892269\pi\)
\(662\) 23.3098 + 10.8695i 0.905959 + 0.422456i
\(663\) 9.78434 + 30.3167i 0.379992 + 1.17740i
\(664\) 13.4414i 0.521628i
\(665\) 12.9473 + 0.172381i 0.502075 + 0.00668463i
\(666\) 5.11597 + 10.5953i 0.198240 + 0.410559i
\(667\) −19.4685 + 1.70327i −0.753823 + 0.0659510i
\(668\) 0.916390 1.96520i 0.0354562 0.0760360i
\(669\) 18.2443 + 43.2180i 0.705367 + 1.67091i
\(670\) 23.6570 13.2055i 0.913949 0.510174i
\(671\) 14.1427 38.8568i 0.545974 1.50005i
\(672\) −2.29944 0.0848443i −0.0887026 0.00327294i
\(673\) 3.41229 0.914320i 0.131534 0.0352445i −0.192451 0.981307i \(-0.561644\pi\)
0.323985 + 0.946062i \(0.394977\pi\)
\(674\) 3.71115 3.11403i 0.142948 0.119948i
\(675\) 9.73335 + 24.0886i 0.374637 + 0.927172i
\(676\) −0.382571 + 0.662633i −0.0147143 + 0.0254859i
\(677\) 7.01459 26.1788i 0.269593 1.00613i −0.689786 0.724013i \(-0.742296\pi\)
0.959379 0.282120i \(-0.0910377\pi\)
\(678\) 4.15020 3.22932i 0.159388 0.124021i
\(679\) −4.30699 0.759439i −0.165287 0.0291446i
\(680\) −7.68728 + 8.89658i −0.294794 + 0.341168i
\(681\) −21.6658 + 14.0092i −0.830234 + 0.536832i
\(682\) 50.2934 4.40010i 1.92583 0.168489i
\(683\) −7.49846 + 7.49846i −0.286921 + 0.286921i −0.835861 0.548941i \(-0.815031\pi\)
0.548941 + 0.835861i \(0.315031\pi\)
\(684\) 11.4194 + 6.37156i 0.436633 + 0.243623i
\(685\) −3.34444 + 32.7584i −0.127784 + 1.25163i
\(686\) −10.4480 + 12.4514i −0.398906 + 0.475397i
\(687\) −10.4306 2.23863i −0.397953 0.0854092i
\(688\) 0.336502 0.480575i 0.0128290 0.0183217i
\(689\) 1.19538 6.77936i 0.0455405 0.258273i
\(690\) −28.7742 6.61264i −1.09541 0.251739i
\(691\) −13.9113 24.0952i −0.529212 0.916623i −0.999420 0.0340667i \(-0.989154\pi\)
0.470207 0.882556i \(-0.344179\pi\)
\(692\) 7.25735 1.94460i 0.275883 0.0739227i
\(693\) 7.58098 + 19.9847i 0.287978 + 0.759155i
\(694\) 14.2863 + 17.0257i 0.542300 + 0.646288i
\(695\) 1.38009 + 8.54869i 0.0523498 + 0.324270i
\(696\) 3.25343 3.02188i 0.123321 0.114544i
\(697\) −21.8946 + 10.2096i −0.829316 + 0.386717i
\(698\) 13.3638 + 19.0855i 0.505828 + 0.722398i
\(699\) 44.5625 18.8119i 1.68551 0.711531i
\(700\) 3.96584 5.32858i 0.149895 0.201402i
\(701\) 1.82151 2.17079i 0.0687974 0.0819895i −0.730548 0.682861i \(-0.760735\pi\)
0.799345 + 0.600872i \(0.205180\pi\)
\(702\) 2.00688 18.0642i 0.0757447 0.681787i
\(703\) −14.7950 + 8.56483i −0.558004 + 0.323029i
\(704\) −5.36307 −0.202128
\(705\) −2.51306 11.7650i −0.0946473 0.443094i
\(706\) −22.4133 + 8.15778i −0.843536 + 0.307022i
\(707\) −6.23243 + 8.90083i −0.234395 + 0.334750i
\(708\) −17.6165 + 19.4875i −0.662067 + 0.732387i
\(709\) 13.7840 37.8711i 0.517668 1.42228i −0.355416 0.934708i \(-0.615661\pi\)
0.873083 0.487572i \(-0.162117\pi\)
\(710\) 4.80143 + 10.6983i 0.180195 + 0.401501i
\(711\) 0.126683 1.71434i 0.00475099 0.0642926i
\(712\) −0.672039 + 7.68144i −0.0251857 + 0.287874i
\(713\) 6.25436 71.4876i 0.234227 2.67723i
\(714\) 3.56028 11.5634i 0.133240 0.432751i
\(715\) −17.1753 38.2693i −0.642320 1.43119i
\(716\) 4.17797 11.4789i 0.156138 0.428986i
\(717\) 14.8721 + 13.4441i 0.555408 + 0.502081i
\(718\) −12.6872 + 18.1192i −0.473482 + 0.676203i
\(719\) −8.02032 + 2.91916i −0.299107 + 0.108866i −0.487214 0.873282i \(-0.661987\pi\)
0.188107 + 0.982149i \(0.439765\pi\)
\(720\) 6.08245 2.82910i 0.226679 0.105434i
\(721\) 4.38877 0.163446
\(722\) −7.98971 + 17.2385i −0.297346 + 0.641549i
\(723\) −0.921703 + 1.46857i −0.0342785 + 0.0546168i
\(724\) −7.50276 + 8.94144i −0.278838 + 0.332306i
\(725\) 1.85951 + 12.6825i 0.0690605 + 0.471018i
\(726\) 11.9651 + 28.3436i 0.444068 + 1.05193i
\(727\) 16.8770 + 24.1028i 0.625933 + 0.893925i 0.999432 0.0337057i \(-0.0107309\pi\)
−0.373499 + 0.927631i \(0.621842\pi\)
\(728\) −4.21145 + 1.96383i −0.156087 + 0.0727844i
\(729\) −8.03866 25.7756i −0.297728 0.954651i
\(730\) −4.47002 27.6887i −0.165443 1.02480i
\(731\) 1.98290 + 2.36313i 0.0733403 + 0.0874035i
\(732\) 13.2282 1.83247i 0.488929 0.0677302i
\(733\) 20.4915 5.49067i 0.756869 0.202802i 0.140306 0.990108i \(-0.455191\pi\)
0.616563 + 0.787306i \(0.288525\pi\)
\(734\) 9.16176 + 15.8686i 0.338167 + 0.585722i
\(735\) 4.54119 19.7605i 0.167504 0.728877i
\(736\) −1.32374 + 7.50732i −0.0487938 + 0.276723i
\(737\) −37.2717 + 53.2295i −1.37292 + 1.96073i
\(738\) 13.7818 0.186123i 0.507314 0.00685127i
\(739\) 20.8102 24.8006i 0.765515 0.912306i −0.232668 0.972556i \(-0.574746\pi\)
0.998183 + 0.0602505i \(0.0191900\pi\)
\(740\) −0.890704 + 8.72434i −0.0327429 + 0.320713i
\(741\) 26.3912 + 0.943074i 0.969506 + 0.0346447i
\(742\) −1.84875 + 1.84875i −0.0678698 + 0.0678698i
\(743\) 35.2898 3.08746i 1.29466 0.113268i 0.581081 0.813846i \(-0.302630\pi\)
0.713576 + 0.700578i \(0.247074\pi\)
\(744\) 8.85318 + 13.6918i 0.324573 + 0.501966i
\(745\) −19.1526 + 22.1656i −0.701698 + 0.812083i
\(746\) 11.8293 + 2.08582i 0.433101 + 0.0763674i
\(747\) 31.2373 + 25.5004i 1.14291 + 0.933011i
\(748\) 7.29873 27.2392i 0.266868 0.995964i
\(749\) 3.99714 6.92325i 0.146052 0.252970i
\(750\) −3.22988 + 19.0937i −0.117938 + 0.697202i
\(751\) 26.9627 22.6244i 0.983884 0.825576i −0.000787037 1.00000i \(-0.500251\pi\)
0.984671 + 0.174423i \(0.0558061\pi\)
\(752\) −3.00038 + 0.803950i −0.109413 + 0.0293171i
\(753\) −1.32721 + 35.9698i −0.0483661 + 1.31081i
\(754\) 3.06694 8.42636i 0.111692 0.306870i
\(755\) −41.9236 + 23.4021i −1.52576 + 0.851691i
\(756\) −4.55956 + 5.18284i −0.165829 + 0.188498i
\(757\) −4.60745 + 9.88071i −0.167461 + 0.359120i −0.972073 0.234681i \(-0.924596\pi\)
0.804612 + 0.593801i \(0.202373\pi\)
\(758\) −9.22896 + 0.807429i −0.335211 + 0.0293272i
\(759\) 69.0285 15.7930i 2.50558 0.573249i
\(760\) 4.76059 + 8.50510i 0.172685 + 0.308512i
\(761\) 44.9557i 1.62964i −0.579713 0.814821i \(-0.696835\pi\)
0.579713 0.814821i \(-0.303165\pi\)
\(762\) −8.85498 + 2.85784i −0.320782 + 0.103529i
\(763\) −2.94007 1.37098i −0.106438 0.0496327i
\(764\) 4.53792 + 25.7358i 0.164176 + 0.931089i
\(765\) 6.09137 + 34.7431i 0.220234 + 1.25614i
\(766\) −8.11308 2.95292i −0.293138 0.106693i
\(767\) −13.7307 + 51.2436i −0.495787 + 1.85030i
\(768\) −0.810127 1.53091i −0.0292330 0.0552421i
\(769\) 3.37191 + 4.01849i 0.121594 + 0.144910i 0.823407 0.567451i \(-0.192070\pi\)
−0.701813 + 0.712361i \(0.747626\pi\)
\(770\) −2.99327 + 15.6477i −0.107870 + 0.563904i
\(771\) −2.29056 + 7.43950i −0.0824924 + 0.267927i
\(772\) 13.6789 + 3.66524i 0.492314 + 0.131915i
\(773\) −19.3703 + 9.03251i −0.696700 + 0.324877i −0.738504