Properties

Label 570.2.bf.a.269.30
Level $570$
Weight $2$
Character 570.269
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
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.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 269.30
Character \(\chi\) \(=\) 570.269
Dual form 570.2.bf.a.89.30

$q$-expansion

\(f(q)\) \(=\) \(q+(0.642788 - 0.766044i) q^{2} +(0.110426 - 1.72853i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(2.23176 - 0.138722i) q^{5} +(-1.25315 - 1.19567i) q^{6} +(2.23292 - 1.28917i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.97561 - 0.381749i) q^{9} +O(q^{10})\) \(q+(0.642788 - 0.766044i) q^{2} +(0.110426 - 1.72853i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(2.23176 - 0.138722i) q^{5} +(-1.25315 - 1.19567i) q^{6} +(2.23292 - 1.28917i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.97561 - 0.381749i) q^{9} +(1.32828 - 1.79880i) q^{10} +(-2.63216 - 1.51968i) q^{11} +(-1.72144 + 0.191407i) q^{12} +(3.00072 + 1.09217i) q^{13} +(0.447726 - 2.53918i) q^{14} +(0.00666010 - 3.87298i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(1.98096 + 1.66223i) q^{17} +(-2.20512 + 2.03407i) q^{18} +(-0.765809 + 4.29110i) q^{19} +(-0.524156 - 2.17377i) q^{20} +(-1.98180 - 4.00201i) q^{21} +(-2.85606 + 1.03952i) q^{22} +(-0.878472 - 4.98206i) q^{23} +(-0.959895 + 1.44174i) q^{24} +(4.96151 - 0.619188i) q^{25} +(2.76548 - 1.59665i) q^{26} +(-0.988448 + 5.10127i) q^{27} +(-1.65733 - 1.97513i) q^{28} +(0.575080 - 0.482549i) q^{29} +(-2.96259 - 2.49460i) q^{30} +(-7.47727 + 4.31700i) q^{31} +(-0.342020 + 0.939693i) q^{32} +(-2.91746 + 4.38194i) q^{33} +(2.54668 - 0.449048i) q^{34} +(4.80450 - 3.18688i) q^{35} +(0.140760 + 2.99670i) q^{36} +6.30256 q^{37} +(2.79492 + 3.34491i) q^{38} +(2.21921 - 5.06623i) q^{39} +(-2.00212 - 0.995744i) q^{40} +(0.243797 - 0.0887348i) q^{41} +(-4.33960 - 1.05430i) q^{42} +(-5.12343 - 0.903399i) q^{43} +(-1.03952 + 2.85606i) q^{44} +(-6.69381 - 0.439190i) q^{45} +(-4.38115 - 2.52946i) q^{46} +(-6.62526 + 5.55925i) q^{47} +(0.487425 + 1.66205i) q^{48} +(-0.176060 + 0.304944i) q^{49} +(2.71487 - 4.19875i) q^{50} +(3.09195 - 3.24060i) q^{51} +(0.554511 - 3.14479i) q^{52} +(-4.33290 + 0.764007i) q^{53} +(3.27244 + 4.03623i) q^{54} +(-6.08515 - 3.02642i) q^{55} -2.57835 q^{56} +(7.33272 + 1.79757i) q^{57} -0.750713i q^{58} +(3.10411 + 2.60465i) q^{59} +(-3.81529 + 0.665977i) q^{60} +(-1.76508 - 10.0103i) q^{61} +(-1.49928 + 8.50284i) q^{62} +(-7.13643 + 2.98367i) q^{63} +(0.500000 + 0.866025i) q^{64} +(6.84840 + 2.02120i) q^{65} +(1.48145 + 5.05156i) q^{66} +(9.42846 - 7.91141i) q^{67} +(1.29298 - 2.23951i) q^{68} +(-8.70863 + 0.968313i) q^{69} +(0.646977 - 5.72895i) q^{70} +(0.792828 - 4.49635i) q^{71} +(2.38608 + 1.81841i) q^{72} +(3.36404 + 9.24263i) q^{73} +(4.05121 - 4.82804i) q^{74} +(-0.522403 - 8.64448i) q^{75} +(4.35889 + 0.00903289i) q^{76} -7.83651 q^{77} +(-2.45447 - 4.95652i) q^{78} +(5.67129 + 15.5817i) q^{79} +(-2.04972 + 0.893663i) q^{80} +(8.70854 + 2.27187i) q^{81} +(0.0887348 - 0.243797i) q^{82} +(-0.188516 - 0.326520i) q^{83} +(-3.59708 + 2.64663i) q^{84} +(4.65162 + 3.43489i) q^{85} +(-3.98532 + 3.34408i) q^{86} +(-0.770596 - 1.04733i) q^{87} +(1.51968 + 2.63216i) q^{88} +(12.2942 + 4.47471i) q^{89} +(-4.63914 + 4.84545i) q^{90} +(8.10836 - 1.42972i) q^{91} +(-4.75383 + 1.73025i) q^{92} +(6.63637 + 13.4014i) q^{93} +8.64866i q^{94} +(-1.11383 + 9.68294i) q^{95} +(1.58652 + 0.694958i) q^{96} +(-1.74154 - 1.46132i) q^{97} +(0.120432 + 0.330884i) q^{98} +(7.25214 + 5.52679i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.642788 0.766044i 0.454519 0.541675i
\(3\) 0.110426 1.72853i 0.0637545 0.997966i
\(4\) −0.173648 0.984808i −0.0868241 0.492404i
\(5\) 2.23176 0.138722i 0.998074 0.0620383i
\(6\) −1.25315 1.19567i −0.511596 0.488129i
\(7\) 2.23292 1.28917i 0.843963 0.487262i −0.0146466 0.999893i \(-0.504662\pi\)
0.858609 + 0.512631i \(0.171329\pi\)
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) −2.97561 0.381749i −0.991871 0.127250i
\(10\) 1.32828 1.79880i 0.420039 0.568829i
\(11\) −2.63216 1.51968i −0.793625 0.458199i 0.0476123 0.998866i \(-0.484839\pi\)
−0.841237 + 0.540666i \(0.818172\pi\)
\(12\) −1.72144 + 0.191407i −0.496938 + 0.0552545i
\(13\) 3.00072 + 1.09217i 0.832251 + 0.302915i 0.722782 0.691076i \(-0.242863\pi\)
0.109468 + 0.993990i \(0.465085\pi\)
\(14\) 0.447726 2.53918i 0.119660 0.678624i
\(15\) 0.00666010 3.87298i 0.00171963 0.999999i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 1.98096 + 1.66223i 0.480454 + 0.403149i 0.850591 0.525828i \(-0.176245\pi\)
−0.370136 + 0.928977i \(0.620689\pi\)
\(18\) −2.20512 + 2.03407i −0.519753 + 0.479434i
\(19\) −0.765809 + 4.29110i −0.175689 + 0.984446i
\(20\) −0.524156 2.17377i −0.117205 0.486069i
\(21\) −1.98180 4.00201i −0.432464 0.873311i
\(22\) −2.85606 + 1.03952i −0.608913 + 0.221626i
\(23\) −0.878472 4.98206i −0.183174 1.03883i −0.928279 0.371884i \(-0.878712\pi\)
0.745105 0.666947i \(-0.232399\pi\)
\(24\) −0.959895 + 1.44174i −0.195938 + 0.294293i
\(25\) 4.96151 0.619188i 0.992303 0.123838i
\(26\) 2.76548 1.59665i 0.542356 0.313129i
\(27\) −0.988448 + 5.10127i −0.190227 + 0.981740i
\(28\) −1.65733 1.97513i −0.313206 0.373264i
\(29\) 0.575080 0.482549i 0.106790 0.0896071i −0.587829 0.808985i \(-0.700017\pi\)
0.694619 + 0.719378i \(0.255573\pi\)
\(30\) −2.96259 2.49460i −0.540893 0.455450i
\(31\) −7.47727 + 4.31700i −1.34296 + 0.775357i −0.987240 0.159237i \(-0.949097\pi\)
−0.355717 + 0.934594i \(0.615763\pi\)
\(32\) −0.342020 + 0.939693i −0.0604612 + 0.166116i
\(33\) −2.91746 + 4.38194i −0.507864 + 0.762798i
\(34\) 2.54668 0.449048i 0.436752 0.0770111i
\(35\) 4.80450 3.18688i 0.812108 0.538681i
\(36\) 0.140760 + 2.99670i 0.0234601 + 0.499449i
\(37\) 6.30256 1.03613 0.518067 0.855340i \(-0.326652\pi\)
0.518067 + 0.855340i \(0.326652\pi\)
\(38\) 2.79492 + 3.34491i 0.453396 + 0.542616i
\(39\) 2.21921 5.06623i 0.355358 0.811246i
\(40\) −2.00212 0.995744i −0.316563 0.157441i
\(41\) 0.243797 0.0887348i 0.0380747 0.0138580i −0.322913 0.946429i \(-0.604662\pi\)
0.360987 + 0.932571i \(0.382440\pi\)
\(42\) −4.33960 1.05430i −0.669614 0.162682i
\(43\) −5.12343 0.903399i −0.781316 0.137767i −0.231257 0.972893i \(-0.574284\pi\)
−0.550059 + 0.835126i \(0.685395\pi\)
\(44\) −1.03952 + 2.85606i −0.156713 + 0.430567i
\(45\) −6.69381 0.439190i −0.997855 0.0654706i
\(46\) −4.38115 2.52946i −0.645965 0.372948i
\(47\) −6.62526 + 5.55925i −0.966394 + 0.810901i −0.981981 0.188978i \(-0.939483\pi\)
0.0155877 + 0.999879i \(0.495038\pi\)
\(48\) 0.487425 + 1.66205i 0.0703537 + 0.239897i
\(49\) −0.176060 + 0.304944i −0.0251514 + 0.0435635i
\(50\) 2.71487 4.19875i 0.383941 0.593792i
\(51\) 3.09195 3.24060i 0.432960 0.453774i
\(52\) 0.554511 3.14479i 0.0768969 0.436104i
\(53\) −4.33290 + 0.764007i −0.595169 + 0.104944i −0.463115 0.886298i \(-0.653268\pi\)
−0.132054 + 0.991243i \(0.542157\pi\)
\(54\) 3.27244 + 4.03623i 0.445322 + 0.549261i
\(55\) −6.08515 3.02642i −0.820522 0.408082i
\(56\) −2.57835 −0.344546
\(57\) 7.33272 + 1.79757i 0.971242 + 0.238094i
\(58\) 0.750713i 0.0985735i
\(59\) 3.10411 + 2.60465i 0.404120 + 0.339097i 0.822084 0.569367i \(-0.192812\pi\)
−0.417963 + 0.908464i \(0.637256\pi\)
\(60\) −3.81529 + 0.665977i −0.492552 + 0.0859772i
\(61\) −1.76508 10.0103i −0.225996 1.28169i −0.860772 0.508990i \(-0.830019\pi\)
0.634777 0.772696i \(-0.281092\pi\)
\(62\) −1.49928 + 8.50284i −0.190409 + 1.07986i
\(63\) −7.13643 + 2.98367i −0.899106 + 0.375907i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) 6.84840 + 2.02120i 0.849440 + 0.250700i
\(66\) 1.48145 + 5.05156i 0.182354 + 0.621804i
\(67\) 9.42846 7.91141i 1.15187 0.966533i 0.152108 0.988364i \(-0.451394\pi\)
0.999762 + 0.0218308i \(0.00694950\pi\)
\(68\) 1.29298 2.23951i 0.156797 0.271581i
\(69\) −8.70863 + 0.968313i −1.04840 + 0.116571i
\(70\) 0.646977 5.72895i 0.0773285 0.684740i
\(71\) 0.792828 4.49635i 0.0940914 0.533619i −0.900931 0.433963i \(-0.857115\pi\)
0.995022 0.0996557i \(-0.0317741\pi\)
\(72\) 2.38608 + 1.81841i 0.281202 + 0.214302i
\(73\) 3.36404 + 9.24263i 0.393731 + 1.08177i 0.965284 + 0.261202i \(0.0841190\pi\)
−0.571553 + 0.820565i \(0.693659\pi\)
\(74\) 4.05121 4.82804i 0.470944 0.561249i
\(75\) −0.522403 8.64448i −0.0603219 0.998179i
\(76\) 4.35889 + 0.00903289i 0.499999 + 0.00103614i
\(77\) −7.83651 −0.893053
\(78\) −2.45447 4.95652i −0.277914 0.561216i
\(79\) 5.67129 + 15.5817i 0.638070 + 1.75308i 0.657705 + 0.753275i \(0.271527\pi\)
−0.0196355 + 0.999807i \(0.506251\pi\)
\(80\) −2.04972 + 0.893663i −0.229166 + 0.0999146i
\(81\) 8.70854 + 2.27187i 0.967615 + 0.252430i
\(82\) 0.0887348 0.243797i 0.00979912 0.0269228i
\(83\) −0.188516 0.326520i −0.0206923 0.0358402i 0.855494 0.517813i \(-0.173254\pi\)
−0.876186 + 0.481973i \(0.839920\pi\)
\(84\) −3.59708 + 2.64663i −0.392473 + 0.288772i
\(85\) 4.65162 + 3.43489i 0.504539 + 0.372566i
\(86\) −3.98532 + 3.34408i −0.429748 + 0.360602i
\(87\) −0.770596 1.04733i −0.0826165 0.112285i
\(88\) 1.51968 + 2.63216i 0.161998 + 0.280589i
\(89\) 12.2942 + 4.47471i 1.30318 + 0.474318i 0.898031 0.439933i \(-0.144998\pi\)
0.405148 + 0.914251i \(0.367220\pi\)
\(90\) −4.63914 + 4.84545i −0.489008 + 0.510755i
\(91\) 8.10836 1.42972i 0.849987 0.149876i
\(92\) −4.75383 + 1.73025i −0.495621 + 0.180391i
\(93\) 6.63637 + 13.4014i 0.688160 + 1.38966i
\(94\) 8.64866i 0.892042i
\(95\) −1.11383 + 9.68294i −0.114277 + 0.993449i
\(96\) 1.58652 + 0.694958i 0.161923 + 0.0709288i
\(97\) −1.74154 1.46132i −0.176826 0.148375i 0.550079 0.835113i \(-0.314598\pi\)
−0.726905 + 0.686738i \(0.759042\pi\)
\(98\) 0.120432 + 0.330884i 0.0121655 + 0.0334243i
\(99\) 7.25214 + 5.52679i 0.728867 + 0.555463i
\(100\) −1.47134 4.77862i −0.147134 0.477862i
\(101\) −6.04590 + 16.6110i −0.601590 + 1.65285i 0.146465 + 0.989216i \(0.453211\pi\)
−0.748054 + 0.663638i \(0.769012\pi\)
\(102\) −0.494972 4.45159i −0.0490095 0.440773i
\(103\) 9.43548 16.3427i 0.929706 1.61030i 0.145894 0.989300i \(-0.453394\pi\)
0.783812 0.620998i \(-0.213272\pi\)
\(104\) −2.05262 2.44621i −0.201276 0.239871i
\(105\) −4.97807 8.65662i −0.485810 0.844799i
\(106\) −2.19987 + 3.81029i −0.213670 + 0.370088i
\(107\) 4.22569 2.43970i 0.408513 0.235855i −0.281638 0.959521i \(-0.590878\pi\)
0.690150 + 0.723666i \(0.257544\pi\)
\(108\) 5.19541 + 0.0876053i 0.499929 + 0.00842982i
\(109\) 9.30022 + 1.63988i 0.890800 + 0.157072i 0.600273 0.799795i \(-0.295059\pi\)
0.290526 + 0.956867i \(0.406170\pi\)
\(110\) −6.22983 + 2.71616i −0.593991 + 0.258975i
\(111\) 0.695967 10.8942i 0.0660583 1.03403i
\(112\) −1.65733 + 1.97513i −0.156603 + 0.186632i
\(113\) 15.0987i 1.42037i −0.704015 0.710185i \(-0.748611\pi\)
0.704015 0.710185i \(-0.251389\pi\)
\(114\) 6.09040 4.46173i 0.570418 0.417879i
\(115\) −2.65166 10.9969i −0.247268 1.02547i
\(116\) −0.575080 0.482549i −0.0533948 0.0448036i
\(117\) −8.51205 4.39541i −0.786939 0.406356i
\(118\) 3.99056 0.703644i 0.367361 0.0647756i
\(119\) 6.56622 + 1.15780i 0.601925 + 0.106136i
\(120\) −1.94226 + 3.35077i −0.177303 + 0.305882i
\(121\) −0.881171 1.52623i −0.0801065 0.138748i
\(122\) −8.80290 5.08235i −0.796977 0.460135i
\(123\) −0.126459 0.431208i −0.0114024 0.0388807i
\(124\) 5.54983 + 6.61403i 0.498390 + 0.593958i
\(125\) 10.9870 2.07015i 0.982708 0.185160i
\(126\) −2.30159 + 7.38469i −0.205042 + 0.657880i
\(127\) 8.21768 + 2.99099i 0.729201 + 0.265407i 0.679827 0.733373i \(-0.262055\pi\)
0.0493745 + 0.998780i \(0.484277\pi\)
\(128\) 0.984808 + 0.173648i 0.0870455 + 0.0153485i
\(129\) −2.12731 + 8.75623i −0.187299 + 0.770943i
\(130\) 5.95040 3.94698i 0.521885 0.346173i
\(131\) −4.71317 + 5.61694i −0.411792 + 0.490754i −0.931578 0.363542i \(-0.881567\pi\)
0.519786 + 0.854296i \(0.326012\pi\)
\(132\) 4.82198 + 2.11222i 0.419700 + 0.183845i
\(133\) 3.82199 + 10.5689i 0.331408 + 0.916442i
\(134\) 12.3080i 1.06325i
\(135\) −1.49832 + 11.5219i −0.128955 + 0.991650i
\(136\) −0.884452 2.43001i −0.0758411 0.208372i
\(137\) 2.36868 + 13.4335i 0.202370 + 1.14770i 0.901525 + 0.432727i \(0.142449\pi\)
−0.699155 + 0.714970i \(0.746440\pi\)
\(138\) −4.85603 + 7.29362i −0.413373 + 0.620874i
\(139\) 3.61784 + 1.31679i 0.306861 + 0.111688i 0.490861 0.871238i \(-0.336682\pi\)
−0.184000 + 0.982926i \(0.558905\pi\)
\(140\) −3.97276 4.17811i −0.335759 0.353115i
\(141\) 8.87772 + 12.0658i 0.747639 + 1.01613i
\(142\) −2.93479 3.49754i −0.246282 0.293507i
\(143\) −6.23862 7.43490i −0.521700 0.621737i
\(144\) 2.92673 0.658993i 0.243894 0.0549161i
\(145\) 1.21650 1.15671i 0.101025 0.0960596i
\(146\) 9.24263 + 3.36404i 0.764925 + 0.278410i
\(147\) 0.507663 + 0.337998i 0.0418713 + 0.0278776i
\(148\) −1.09443 6.20681i −0.0899615 0.510197i
\(149\) 2.96349 + 8.14212i 0.242779 + 0.667029i 0.999905 + 0.0137607i \(0.00438029\pi\)
−0.757127 + 0.653268i \(0.773397\pi\)
\(150\) −6.95785 5.15638i −0.568106 0.421017i
\(151\) 20.8663i 1.69808i −0.528329 0.849039i \(-0.677181\pi\)
0.528329 0.849039i \(-0.322819\pi\)
\(152\) 2.80876 3.33330i 0.227821 0.270366i
\(153\) −5.26003 5.70237i −0.425248 0.461009i
\(154\) −5.03721 + 6.00311i −0.405910 + 0.483745i
\(155\) −16.0886 + 10.6718i −1.29227 + 0.857178i
\(156\) −5.37462 1.30575i −0.430314 0.104544i
\(157\) −12.0780 2.12967i −0.963927 0.169966i −0.330532 0.943795i \(-0.607228\pi\)
−0.633395 + 0.773828i \(0.718339\pi\)
\(158\) 15.5817 + 5.67129i 1.23962 + 0.451184i
\(159\) 0.842142 + 7.57390i 0.0667862 + 0.600649i
\(160\) −0.632951 + 2.14461i −0.0500392 + 0.169547i
\(161\) −8.38430 9.99201i −0.660775 0.787481i
\(162\) 7.33809 5.21079i 0.576535 0.409399i
\(163\) −12.7934 7.38628i −1.00206 0.578538i −0.0932006 0.995647i \(-0.529710\pi\)
−0.908856 + 0.417110i \(0.863043\pi\)
\(164\) −0.129722 0.224684i −0.0101296 0.0175449i
\(165\) −5.90320 + 10.1842i −0.459564 + 0.792836i
\(166\) −0.371304 0.0654710i −0.0288188 0.00508153i
\(167\) −14.3580 + 2.53171i −1.11106 + 0.195910i −0.698912 0.715208i \(-0.746332\pi\)
−0.412147 + 0.911117i \(0.635221\pi\)
\(168\) −0.284717 + 4.45675i −0.0219664 + 0.343845i
\(169\) −2.14708 1.80162i −0.165160 0.138586i
\(170\) 5.62128 1.35545i 0.431133 0.103958i
\(171\) 3.91687 12.4763i 0.299531 0.954087i
\(172\) 5.20247i 0.396685i
\(173\) −5.48244 + 6.53372i −0.416822 + 0.496749i −0.933072 0.359688i \(-0.882883\pi\)
0.516250 + 0.856438i \(0.327327\pi\)
\(174\) −1.29763 0.0828983i −0.0983729 0.00628450i
\(175\) 10.2804 7.77885i 0.777125 0.588026i
\(176\) 2.99318 + 0.527778i 0.225619 + 0.0397828i
\(177\) 4.84499 5.07791i 0.364172 0.381679i
\(178\) 11.3304 6.54159i 0.849246 0.490313i
\(179\) −9.23826 + 16.0011i −0.690500 + 1.19598i 0.281174 + 0.959657i \(0.409276\pi\)
−0.971674 + 0.236325i \(0.924057\pi\)
\(180\) 0.729851 + 6.66838i 0.0543999 + 0.497032i
\(181\) 1.41286 + 1.68378i 0.105017 + 0.125154i 0.815993 0.578062i \(-0.196191\pi\)
−0.710976 + 0.703217i \(0.751746\pi\)
\(182\) 4.11672 7.13037i 0.305152 0.528539i
\(183\) −17.4980 + 1.94560i −1.29349 + 0.143823i
\(184\) −1.73025 + 4.75383i −0.127556 + 0.350457i
\(185\) 14.0658 0.874303i 1.03414 0.0642800i
\(186\) 14.5318 + 3.53048i 1.06552 + 0.258867i
\(187\) −2.68816 7.38566i −0.196578 0.540093i
\(188\) 6.62526 + 5.55925i 0.483197 + 0.405450i
\(189\) 4.36931 + 12.6650i 0.317820 + 0.921242i
\(190\) 6.70161 + 7.07732i 0.486186 + 0.513443i
\(191\) 1.78914i 0.129458i −0.997903 0.0647288i \(-0.979382\pi\)
0.997903 0.0647288i \(-0.0206182\pi\)
\(192\) 1.55216 0.768632i 0.112018 0.0554712i
\(193\) −3.02656 + 1.10158i −0.217856 + 0.0792933i −0.448643 0.893711i \(-0.648092\pi\)
0.230786 + 0.973004i \(0.425870\pi\)
\(194\) −2.23888 + 0.394774i −0.160742 + 0.0283431i
\(195\) 4.24995 11.6145i 0.304345 0.831729i
\(196\) 0.330884 + 0.120432i 0.0236346 + 0.00860228i
\(197\) −1.60586 2.78142i −0.114413 0.198168i 0.803132 0.595801i \(-0.203165\pi\)
−0.917545 + 0.397633i \(0.869832\pi\)
\(198\) 8.89535 2.00291i 0.632165 0.142341i
\(199\) −2.53556 + 2.12759i −0.179741 + 0.150821i −0.728219 0.685344i \(-0.759652\pi\)
0.548478 + 0.836165i \(0.315207\pi\)
\(200\) −4.60639 1.94452i −0.325721 0.137499i
\(201\) −12.6339 17.1710i −0.891130 1.21115i
\(202\) 8.83851 + 15.3088i 0.621876 + 1.07712i
\(203\) 0.662014 1.81887i 0.0464643 0.127660i
\(204\) −3.72828 2.48225i −0.261032 0.173793i
\(205\) 0.531787 0.231855i 0.0371416 0.0161934i
\(206\) −6.45425 17.7329i −0.449689 1.23551i
\(207\) 0.712095 + 15.1600i 0.0494940 + 1.05370i
\(208\) −3.19330 −0.221416
\(209\) 8.53681 10.1311i 0.590503 0.700780i
\(210\) −9.83120 1.75094i −0.678417 0.120826i
\(211\) −1.65133 + 1.96798i −0.113683 + 0.135482i −0.819885 0.572529i \(-0.805963\pi\)
0.706202 + 0.708010i \(0.250407\pi\)
\(212\) 1.50480 + 4.13440i 0.103350 + 0.283952i
\(213\) −7.68452 1.86694i −0.526535 0.127921i
\(214\) 0.847299 4.80527i 0.0579202 0.328482i
\(215\) −11.5596 1.30544i −0.788358 0.0890302i
\(216\) 3.40666 3.92361i 0.231794 0.266968i
\(217\) −11.1307 + 19.2790i −0.755604 + 1.30874i
\(218\) 7.23429 6.07029i 0.489968 0.411132i
\(219\) 16.3476 4.79421i 1.10467 0.323963i
\(220\) −1.92376 + 6.51824i −0.129700 + 0.439460i
\(221\) 4.12888 + 7.15143i 0.277739 + 0.481058i
\(222\) −7.89804 7.53577i −0.530082 0.505768i
\(223\) 2.61492 14.8299i 0.175108 0.993086i −0.762911 0.646503i \(-0.776231\pi\)
0.938019 0.346583i \(-0.112658\pi\)
\(224\) 0.447726 + 2.53918i 0.0299149 + 0.169656i
\(225\) −14.9999 0.0515889i −0.999994 0.00343926i
\(226\) −11.5663 9.70528i −0.769379 0.645586i
\(227\) 12.0488i 0.799709i 0.916579 + 0.399854i \(0.130939\pi\)
−0.916579 + 0.399854i \(0.869061\pi\)
\(228\) 0.496949 7.53346i 0.0329112 0.498916i
\(229\) −14.2770 −0.943452 −0.471726 0.881745i \(-0.656369\pi\)
−0.471726 + 0.881745i \(0.656369\pi\)
\(230\) −10.1286 5.03738i −0.667858 0.332155i
\(231\) −0.865355 + 13.5456i −0.0569362 + 0.891236i
\(232\) −0.739308 + 0.130360i −0.0485380 + 0.00855855i
\(233\) −0.806091 + 4.57157i −0.0528088 + 0.299493i −0.999761 0.0218823i \(-0.993034\pi\)
0.946952 + 0.321376i \(0.104145\pi\)
\(234\) −8.83852 + 3.69530i −0.577792 + 0.241569i
\(235\) −14.0148 + 13.3260i −0.914225 + 0.869292i
\(236\) 2.02606 3.50924i 0.131885 0.228432i
\(237\) 27.5597 8.08235i 1.79020 0.525005i
\(238\) 5.10761 4.28580i 0.331077 0.277807i
\(239\) −19.1425 11.0519i −1.23823 0.714891i −0.269495 0.963002i \(-0.586857\pi\)
−0.968732 + 0.248111i \(0.920190\pi\)
\(240\) 1.31838 + 3.64169i 0.0851009 + 0.235070i
\(241\) −6.09657 + 16.7502i −0.392715 + 1.07897i 0.573042 + 0.819526i \(0.305763\pi\)
−0.965757 + 0.259449i \(0.916459\pi\)
\(242\) −1.73557 0.306027i −0.111567 0.0196722i
\(243\) 4.88864 14.8021i 0.313607 0.949553i
\(244\) −9.55170 + 3.47654i −0.611485 + 0.222562i
\(245\) −0.350621 + 0.704986i −0.0224003 + 0.0450399i
\(246\) −0.411611 0.180302i −0.0262433 0.0114956i
\(247\) −6.98461 + 12.0400i −0.444420 + 0.766087i
\(248\) 8.63401 0.548260
\(249\) −0.585215 + 0.289799i −0.0370865 + 0.0183653i
\(250\) 5.47649 9.74721i 0.346364 0.616468i
\(251\) 22.8087 4.02179i 1.43967 0.253853i 0.601331 0.799000i \(-0.294637\pi\)
0.838340 + 0.545147i \(0.183526\pi\)
\(252\) 4.17757 + 6.50990i 0.263162 + 0.410085i
\(253\) −5.25884 + 14.4485i −0.330621 + 0.908372i
\(254\) 7.57345 4.37254i 0.475201 0.274357i
\(255\) 6.45096 7.66116i 0.403975 0.479760i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −4.65937 5.55282i −0.290644 0.346375i 0.600889 0.799333i \(-0.294813\pi\)
−0.891532 + 0.452957i \(0.850369\pi\)
\(258\) 5.34026 + 7.25801i 0.332470 + 0.451864i
\(259\) 14.0731 8.12510i 0.874459 0.504869i
\(260\) 0.801285 7.09534i 0.0496936 0.440034i
\(261\) −1.89543 + 1.21634i −0.117324 + 0.0752897i
\(262\) 1.27326 + 7.22099i 0.0786620 + 0.446115i
\(263\) 15.1819 5.52575i 0.936154 0.340732i 0.171508 0.985183i \(-0.445136\pi\)
0.764646 + 0.644450i \(0.222914\pi\)
\(264\) 4.71756 2.33614i 0.290346 0.143780i
\(265\) −9.56401 + 2.30615i −0.587512 + 0.141666i
\(266\) 10.5530 + 3.86576i 0.647045 + 0.237025i
\(267\) 9.09225 20.7567i 0.556437 1.27029i
\(268\) −9.42846 7.91141i −0.575935 0.483267i
\(269\) −11.3090 + 4.11613i −0.689521 + 0.250965i −0.662930 0.748681i \(-0.730687\pi\)
−0.0265908 + 0.999646i \(0.508465\pi\)
\(270\) 7.86321 + 8.55394i 0.478540 + 0.520576i
\(271\) −2.06038 + 11.6850i −0.125159 + 0.709814i 0.856054 + 0.516887i \(0.172909\pi\)
−0.981213 + 0.192927i \(0.938202\pi\)
\(272\) −2.43001 0.884452i −0.147341 0.0536278i
\(273\) −1.57594 14.1734i −0.0953803 0.857813i
\(274\) 11.8132 + 6.82034i 0.713660 + 0.412032i
\(275\) −14.0004 5.91009i −0.844258 0.356392i
\(276\) 2.46584 + 8.40818i 0.148426 + 0.506113i
\(277\) −11.1338 6.42812i −0.668967 0.386229i 0.126718 0.991939i \(-0.459556\pi\)
−0.795685 + 0.605710i \(0.792889\pi\)
\(278\) 3.33422 1.92501i 0.199973 0.115455i
\(279\) 23.8975 9.99129i 1.43070 0.598163i
\(280\) −5.75426 + 0.357673i −0.343883 + 0.0213751i
\(281\) −2.78132 15.7736i −0.165919 0.940976i −0.948111 0.317938i \(-0.897010\pi\)
0.782192 0.623037i \(-0.214102\pi\)
\(282\) 14.9495 + 0.955038i 0.890227 + 0.0568717i
\(283\) −12.1556 + 14.4865i −0.722575 + 0.861131i −0.994878 0.101080i \(-0.967770\pi\)
0.272304 + 0.962211i \(0.412215\pi\)
\(284\) −4.56572 −0.270925
\(285\) 16.6142 + 2.99454i 0.984142 + 0.177381i
\(286\) −9.70557 −0.573902
\(287\) 0.429983 0.512434i 0.0253811 0.0302480i
\(288\) 1.37645 2.66559i 0.0811079 0.157072i
\(289\) −1.79080 10.1561i −0.105341 0.597419i
\(290\) −0.104140 1.67541i −0.00611533 0.0983836i
\(291\) −2.71825 + 2.84892i −0.159346 + 0.167007i
\(292\) 8.51805 4.91790i 0.498481 0.287798i
\(293\) 4.22699 + 2.44046i 0.246944 + 0.142573i 0.618364 0.785892i \(-0.287796\pi\)
−0.371420 + 0.928465i \(0.621129\pi\)
\(294\) 0.585241 0.171632i 0.0341319 0.0100098i
\(295\) 7.28894 + 5.38236i 0.424379 + 0.313373i
\(296\) −5.45818 3.15128i −0.317250 0.183165i
\(297\) 10.3540 11.9252i 0.600802 0.691971i
\(298\) 8.14212 + 2.96349i 0.471661 + 0.171670i
\(299\) 2.80523 15.9092i 0.162230 0.920054i
\(300\) −8.42244 + 2.01557i −0.486270 + 0.116369i
\(301\) −12.6048 + 4.58778i −0.726530 + 0.264435i
\(302\) −15.9845 13.4126i −0.919807 0.771810i
\(303\) 28.0449 + 12.2848i 1.61114 + 0.705743i
\(304\) −0.748018 4.29424i −0.0429018 0.246291i
\(305\) −5.32789 22.0957i −0.305074 1.26520i
\(306\) −7.74935 + 0.364001i −0.443001 + 0.0208086i
\(307\) 4.07841 1.48442i 0.232767 0.0847202i −0.223003 0.974818i \(-0.571586\pi\)
0.455770 + 0.890097i \(0.349364\pi\)
\(308\) 1.36080 + 7.71745i 0.0775385 + 0.439743i
\(309\) −27.2069 18.1142i −1.54775 1.03048i
\(310\) −2.16650 + 19.1843i −0.123049 + 1.08959i
\(311\) −21.6789 + 12.5163i −1.22930 + 0.709736i −0.966883 0.255219i \(-0.917852\pi\)
−0.262415 + 0.964955i \(0.584519\pi\)
\(312\) −4.45501 + 3.27788i −0.252215 + 0.185573i
\(313\) −0.449648 0.535870i −0.0254156 0.0302892i 0.753187 0.657807i \(-0.228516\pi\)
−0.778603 + 0.627517i \(0.784071\pi\)
\(314\) −9.39500 + 7.88334i −0.530190 + 0.444882i
\(315\) −15.5129 + 7.64882i −0.874053 + 0.430962i
\(316\) 14.3602 8.29087i 0.807825 0.466398i
\(317\) 5.30386 14.5722i 0.297894 0.818458i −0.696957 0.717113i \(-0.745463\pi\)
0.994851 0.101345i \(-0.0323146\pi\)
\(318\) 6.34326 + 4.22329i 0.355712 + 0.236830i
\(319\) −2.24702 + 0.396210i −0.125809 + 0.0221835i
\(320\) 1.23602 + 1.86340i 0.0690955 + 0.104167i
\(321\) −3.75046 7.57362i −0.209330 0.422718i
\(322\) −13.0436 −0.726894
\(323\) −8.64982 + 7.22756i −0.481289 + 0.402152i
\(324\) 0.725137 8.97074i 0.0402854 0.498374i
\(325\) 15.5644 + 3.56082i 0.863357 + 0.197519i
\(326\) −13.8817 + 5.05251i −0.768834 + 0.279833i
\(327\) 3.86156 15.8946i 0.213545 0.878973i
\(328\) −0.255502 0.0450518i −0.0141077 0.00248757i
\(329\) −7.62680 + 20.9545i −0.420479 + 1.15526i
\(330\) 4.00701 + 11.0684i 0.220579 + 0.609293i
\(331\) −19.7918 11.4268i −1.08786 0.628075i −0.154853 0.987938i \(-0.549490\pi\)
−0.933005 + 0.359862i \(0.882824\pi\)
\(332\) −0.288823 + 0.242352i −0.0158512 + 0.0133008i
\(333\) −18.7540 2.40600i −1.02771 0.131848i
\(334\) −7.28977 + 12.6263i −0.398879 + 0.690878i
\(335\) 19.9446 18.9643i 1.08969 1.03613i
\(336\) 3.23105 + 3.08285i 0.176268 + 0.168183i
\(337\) 2.61113 14.8085i 0.142238 0.806669i −0.827306 0.561751i \(-0.810128\pi\)
0.969544 0.244918i \(-0.0787611\pi\)
\(338\) −2.76024 + 0.486704i −0.150137 + 0.0264732i
\(339\) −26.0986 1.66729i −1.41748 0.0905550i
\(340\) 2.57496 5.17742i 0.139647 0.280785i
\(341\) 26.2418 1.42107
\(342\) −7.03968 11.0201i −0.380663 0.595899i
\(343\) 18.9563i 1.02355i
\(344\) 3.98532 + 3.34408i 0.214874 + 0.180301i
\(345\) −19.3013 + 3.36912i −1.03914 + 0.181387i
\(346\) 1.48107 + 8.39959i 0.0796230 + 0.451565i
\(347\) −4.49271 + 25.4794i −0.241181 + 1.36781i 0.588015 + 0.808850i \(0.299910\pi\)
−0.829196 + 0.558957i \(0.811202\pi\)
\(348\) −0.897603 + 0.940755i −0.0481166 + 0.0504298i
\(349\) 2.57767 + 4.46466i 0.137980 + 0.238988i 0.926732 0.375724i \(-0.122606\pi\)
−0.788752 + 0.614711i \(0.789272\pi\)
\(350\) 0.649168 12.8754i 0.0346995 0.688218i
\(351\) −8.53754 + 14.2279i −0.455700 + 0.759432i
\(352\) 2.32828 1.95366i 0.124098 0.104130i
\(353\) −8.56038 + 14.8270i −0.455623 + 0.789162i −0.998724 0.0505053i \(-0.983917\pi\)
0.543101 + 0.839668i \(0.317250\pi\)
\(354\) −0.775605 6.97549i −0.0412229 0.370743i
\(355\) 1.14566 10.1448i 0.0608054 0.538428i
\(356\) 2.27187 12.8844i 0.120409 0.682872i
\(357\) 2.72637 11.2220i 0.144295 0.593933i
\(358\) 6.31934 + 17.3623i 0.333988 + 0.917624i
\(359\) 15.1331 18.0349i 0.798693 0.951845i −0.200922 0.979607i \(-0.564394\pi\)
0.999615 + 0.0277621i \(0.00883808\pi\)
\(360\) 5.57742 + 3.72726i 0.293956 + 0.196444i
\(361\) −17.8271 6.57232i −0.938267 0.345912i
\(362\) 2.19802 0.115525
\(363\) −2.73544 + 1.35459i −0.143573 + 0.0710976i
\(364\) −2.81600 7.73691i −0.147599 0.405524i
\(365\) 8.78989 + 20.1607i 0.460084 + 1.05526i
\(366\) −9.75706 + 14.6548i −0.510010 + 0.766020i
\(367\) 10.4420 28.6892i 0.545068 1.49756i −0.295224 0.955428i \(-0.595394\pi\)
0.840292 0.542134i \(-0.182383\pi\)
\(368\) 2.52946 + 4.38115i 0.131857 + 0.228383i
\(369\) −0.759319 + 0.170971i −0.0395286 + 0.00890040i
\(370\) 8.37157 11.3370i 0.435217 0.589384i
\(371\) −8.69005 + 7.29182i −0.451165 + 0.378573i
\(372\) 12.0454 8.86267i 0.624524 0.459508i
\(373\) −5.88912 10.2003i −0.304927 0.528149i 0.672318 0.740263i \(-0.265299\pi\)
−0.977245 + 0.212113i \(0.931965\pi\)
\(374\) −7.38566 2.68816i −0.381903 0.139001i
\(375\) −2.36506 19.2200i −0.122131 0.992514i
\(376\) 8.51727 1.50182i 0.439245 0.0774507i
\(377\) 2.25268 0.819909i 0.116019 0.0422275i
\(378\) 12.5105 + 4.79382i 0.643470 + 0.246567i
\(379\) 10.6930i 0.549262i 0.961550 + 0.274631i \(0.0885557\pi\)
−0.961550 + 0.274631i \(0.911444\pi\)
\(380\) 9.72925 0.584514i 0.499100 0.0299849i
\(381\) 6.07745 13.8742i 0.311357 0.710797i
\(382\) −1.37056 1.15004i −0.0701240 0.0588410i
\(383\) −7.15469 19.6574i −0.365588 1.00444i −0.977020 0.213147i \(-0.931629\pi\)
0.611432 0.791297i \(-0.290594\pi\)
\(384\) 0.408904 1.68309i 0.0208668 0.0858899i
\(385\) −17.4892 + 1.08709i −0.891333 + 0.0554035i
\(386\) −1.10158 + 3.02656i −0.0560688 + 0.154048i
\(387\) 14.9005 + 4.64403i 0.757434 + 0.236069i
\(388\) −1.13671 + 1.96883i −0.0577075 + 0.0999524i
\(389\) −22.7618 27.1264i −1.15407 1.37536i −0.914550 0.404472i \(-0.867455\pi\)
−0.239517 0.970892i \(-0.576989\pi\)
\(390\) −6.16538 10.7213i −0.312196 0.542893i
\(391\) 6.54109 11.3295i 0.330797 0.572957i
\(392\) 0.304944 0.176060i 0.0154020 0.00889236i
\(393\) 9.18857 + 8.76710i 0.463502 + 0.442242i
\(394\) −3.16292 0.557708i −0.159346 0.0280969i
\(395\) 14.8185 + 33.9880i 0.745599 + 1.71012i
\(396\) 4.18350 8.10168i 0.210229 0.407125i
\(397\) −14.5922 + 17.3903i −0.732363 + 0.872796i −0.995769 0.0918887i \(-0.970710\pi\)
0.263406 + 0.964685i \(0.415154\pi\)
\(398\) 3.30994i 0.165912i
\(399\) 18.6907 5.43933i 0.935706 0.272307i
\(400\) −4.45052 + 2.27878i −0.222526 + 0.113939i
\(401\) 6.54292 + 5.49016i 0.326738 + 0.274165i 0.791369 0.611339i \(-0.209369\pi\)
−0.464631 + 0.885504i \(0.653813\pi\)
\(402\) −21.2747 1.35912i −1.06108 0.0677868i
\(403\) −27.1521 + 4.78765i −1.35254 + 0.238490i
\(404\) 17.4085 + 3.06958i 0.866104 + 0.152718i
\(405\) 19.7505 + 3.86221i 0.981412 + 0.191915i
\(406\) −0.967800 1.67628i −0.0480311 0.0831923i
\(407\) −16.5893 9.57785i −0.822302 0.474756i
\(408\) −4.29801 + 1.26046i −0.212783 + 0.0624022i
\(409\) −10.5424 12.5639i −0.521288 0.621247i 0.439597 0.898195i \(-0.355121\pi\)
−0.960885 + 0.276948i \(0.910677\pi\)
\(410\) 0.164215 0.556406i 0.00810999 0.0274789i
\(411\) 23.4817 2.61092i 1.15826 0.128787i
\(412\) −17.7329 6.45425i −0.873638 0.317978i
\(413\) 10.2891 + 1.81424i 0.506291 + 0.0892728i
\(414\) 12.0710 + 9.19919i 0.593257 + 0.452115i
\(415\) −0.466018 0.702562i −0.0228759 0.0344874i
\(416\) −2.05262 + 2.44621i −0.100638 + 0.119935i
\(417\) 2.67561 6.10813i 0.131025 0.299116i
\(418\) −2.27349 13.0517i −0.111200 0.638379i
\(419\) 0.129870i 0.00634455i −0.999995 0.00317227i \(-0.998990\pi\)
0.999995 0.00317227i \(-0.00100977\pi\)
\(420\) −7.66067 + 6.40565i −0.373802 + 0.312564i
\(421\) 4.63152 + 12.7250i 0.225726 + 0.620178i 0.999918 0.0127727i \(-0.00406580\pi\)
−0.774192 + 0.632951i \(0.781844\pi\)
\(422\) 0.446106 + 2.52999i 0.0217161 + 0.123158i
\(423\) 21.8364 14.0130i 1.06172 0.681335i
\(424\) 4.13440 + 1.50480i 0.200784 + 0.0730795i
\(425\) 10.8578 + 7.02056i 0.526681 + 0.340547i
\(426\) −6.36967 + 4.68664i −0.308612 + 0.227068i
\(427\) −16.8463 20.0766i −0.815249 0.971576i
\(428\) −3.13642 3.73784i −0.151605 0.180675i
\(429\) −13.5403 + 9.96262i −0.653733 + 0.481000i
\(430\) −8.43039 + 8.01605i −0.406550 + 0.386568i
\(431\) 19.7834 + 7.20058i 0.952934 + 0.346840i 0.771261 0.636519i \(-0.219627\pi\)
0.181673 + 0.983359i \(0.441849\pi\)
\(432\) −0.815900 5.13170i −0.0392550 0.246899i
\(433\) 1.81665 + 10.3028i 0.0873028 + 0.495119i 0.996836 + 0.0794872i \(0.0253283\pi\)
−0.909533 + 0.415631i \(0.863561\pi\)
\(434\) 7.61387 + 20.9189i 0.365478 + 1.00414i
\(435\) −1.86507 2.23048i −0.0894234 0.106944i
\(436\) 9.44369i 0.452271i
\(437\) 22.0513 + 0.0456966i 1.05485 + 0.00218597i
\(438\) 6.83546 15.6047i 0.326611 0.745619i
\(439\) 16.0603 19.1399i 0.766515 0.913497i −0.231726 0.972781i \(-0.574437\pi\)
0.998241 + 0.0592843i \(0.0188819\pi\)
\(440\) 3.75669 + 5.66353i 0.179093 + 0.269998i
\(441\) 0.640297 0.840185i 0.0304904 0.0400088i
\(442\) 8.13231 + 1.43395i 0.386815 + 0.0682059i
\(443\) −34.9513 12.7212i −1.66058 0.604404i −0.670130 0.742243i \(-0.733762\pi\)
−0.990455 + 0.137840i \(0.955984\pi\)
\(444\) −10.8495 + 1.20636i −0.514894 + 0.0572511i
\(445\) 28.0584 + 8.28101i 1.33009 + 0.392558i
\(446\) −9.67956 11.5356i −0.458340 0.546229i
\(447\) 14.4011 4.22337i 0.681150 0.199759i
\(448\) 2.23292 + 1.28917i 0.105495 + 0.0609078i
\(449\) −4.62800 8.01594i −0.218409 0.378295i 0.735913 0.677076i \(-0.236753\pi\)
−0.954322 + 0.298781i \(0.903420\pi\)
\(450\) −9.68128 + 11.4574i −0.456380 + 0.540109i
\(451\) −0.776559 0.136928i −0.0365667 0.00644770i
\(452\) −14.8694 + 2.62187i −0.699396 + 0.123322i
\(453\) −36.0680 2.30419i −1.69462 0.108260i
\(454\) 9.22994 + 7.74484i 0.433182 + 0.363483i
\(455\) 17.8976 4.31561i 0.839052 0.202319i
\(456\) −5.45153 5.22310i −0.255291 0.244594i
\(457\) 5.08806i 0.238009i 0.992894 + 0.119005i \(0.0379703\pi\)
−0.992894 + 0.119005i \(0.962030\pi\)
\(458\) −9.17709 + 10.9368i −0.428817 + 0.511044i
\(459\) −10.4375 + 8.46241i −0.487183 + 0.394991i
\(460\) −10.3694 + 4.52097i −0.483475 + 0.210791i
\(461\) 23.7668 + 4.19072i 1.10693 + 0.195181i 0.697095 0.716979i \(-0.254476\pi\)
0.409834 + 0.912160i \(0.365587\pi\)
\(462\) 9.82030 + 9.36985i 0.456882 + 0.435925i
\(463\) −3.09391 + 1.78627i −0.143786 + 0.0830150i −0.570167 0.821529i \(-0.693122\pi\)
0.426381 + 0.904544i \(0.359788\pi\)
\(464\) −0.375357 + 0.650137i −0.0174255 + 0.0301818i
\(465\) 16.6699 + 28.9880i 0.773046 + 1.34429i
\(466\) 2.98388 + 3.55605i 0.138226 + 0.164731i
\(467\) −14.9856 + 25.9559i −0.693452 + 1.20109i 0.277247 + 0.960799i \(0.410578\pi\)
−0.970700 + 0.240296i \(0.922755\pi\)
\(468\) −2.85053 + 9.14599i −0.131766 + 0.422774i
\(469\) 10.8538 29.8204i 0.501180 1.37698i
\(470\) 1.19976 + 19.3017i 0.0553407 + 0.890323i
\(471\) −5.01492 + 20.6419i −0.231075 + 0.951130i
\(472\) −1.38591 3.80775i −0.0637916 0.175266i
\(473\) 12.1128 + 10.1638i 0.556947 + 0.467334i
\(474\) 11.5236 26.3072i 0.529297 1.20833i
\(475\) −1.14257 + 21.7645i −0.0524249 + 0.998625i
\(476\) 6.66752i 0.305605i
\(477\) 13.1847 0.619309i 0.603685 0.0283562i
\(478\) −20.7709 + 7.55997i −0.950037 + 0.345785i
\(479\) 14.8496 2.61838i 0.678495 0.119637i 0.176228 0.984349i \(-0.443610\pi\)
0.502267 + 0.864712i \(0.332499\pi\)
\(480\) 3.63713 + 1.33089i 0.166012 + 0.0607468i
\(481\) 18.9122 + 6.88349i 0.862324 + 0.313860i
\(482\) 8.91259 + 15.4371i 0.405957 + 0.703139i
\(483\) −18.1973 + 13.3891i −0.828006 + 0.609225i
\(484\) −1.35003 + 1.13281i −0.0613651 + 0.0514914i
\(485\) −4.08941 3.01973i −0.185690 0.137119i
\(486\) −8.19668 13.2595i −0.371809 0.601463i
\(487\) 14.0569 + 24.3472i 0.636978 + 1.10328i 0.986092 + 0.166198i \(0.0531491\pi\)
−0.349115 + 0.937080i \(0.613518\pi\)
\(488\) −3.47654 + 9.55170i −0.157375 + 0.432385i
\(489\) −14.1801 + 21.2981i −0.641246 + 0.963134i
\(490\) 0.314676 + 0.721747i 0.0142156 + 0.0326052i
\(491\) −5.34417 14.6830i −0.241179 0.662634i −0.999937 0.0112608i \(-0.996416\pi\)
0.758758 0.651373i \(-0.225807\pi\)
\(492\) −0.402698 + 0.199416i −0.0181550 + 0.00899038i
\(493\) 1.94132 0.0874325
\(494\) 4.73356 + 13.0897i 0.212973 + 0.588933i
\(495\) 16.9517 + 11.3284i 0.761923 + 0.509175i
\(496\) 5.54983 6.61403i 0.249195 0.296979i
\(497\) −4.02626 11.0621i −0.180603 0.496202i
\(498\) −0.154170 + 0.634580i −0.00690852 + 0.0284362i
\(499\) 4.28754 24.3158i 0.191936 1.08853i −0.724778 0.688982i \(-0.758058\pi\)
0.916714 0.399543i \(-0.130831\pi\)
\(500\) −3.94657 10.4606i −0.176496 0.467813i
\(501\) 2.79063 + 25.0978i 0.124676 + 1.12129i
\(502\) 11.5803 20.0576i 0.516853 0.895215i
\(503\) 13.5745 11.3904i 0.605259 0.507872i −0.287872 0.957669i \(-0.592948\pi\)
0.893131 + 0.449796i \(0.148503\pi\)
\(504\) 7.67217 + 0.984282i 0.341745 + 0.0438434i
\(505\) −11.1887 + 37.9104i −0.497891 + 1.68699i
\(506\) 7.68791 + 13.3159i 0.341769 + 0.591962i
\(507\) −3.35124 + 3.51235i −0.148834 + 0.155989i
\(508\) 1.51857 8.61221i 0.0673755 0.382105i
\(509\) 6.74016 + 38.2254i 0.298753 + 1.69431i 0.651547 + 0.758609i \(0.274121\pi\)
−0.352794 + 0.935701i \(0.614768\pi\)
\(510\) −1.72219 9.86622i −0.0762599 0.436883i
\(511\) 19.4270 + 16.3012i 0.859399 + 0.721121i
\(512\) 1.00000i 0.0441942i
\(513\) −21.1331 8.14813i −0.933049 0.359749i
\(514\) −7.24869 −0.319726
\(515\) 18.7907 37.7820i 0.828015 1.66487i
\(516\) 8.99261 + 0.574488i 0.395878 + 0.0252904i
\(517\) 25.8870 4.56457i 1.13851 0.200750i
\(518\) 2.82182 16.0033i 0.123984 0.703146i
\(519\) 10.6883 + 10.1980i 0.469165 + 0.447644i
\(520\) −4.92029 5.17462i −0.215769 0.226922i
\(521\) −10.3124 + 17.8616i −0.451794 + 0.782530i −0.998498 0.0547960i \(-0.982549\pi\)
0.546703 + 0.837326i \(0.315882\pi\)
\(522\) −0.286584 + 2.23383i −0.0125434 + 0.0977721i
\(523\) 0.0694571 0.0582814i 0.00303715 0.00254847i −0.641268 0.767317i \(-0.721591\pi\)
0.644305 + 0.764769i \(0.277147\pi\)
\(524\) 6.35004 + 3.66620i 0.277403 + 0.160158i
\(525\) −12.3107 18.6289i −0.537284 0.813033i
\(526\) 5.52575 15.1819i 0.240934 0.661961i
\(527\) −21.9880 3.87708i −0.957814 0.168888i
\(528\) 1.24280 5.11551i 0.0540861 0.222624i
\(529\) −2.43628 + 0.886732i −0.105925 + 0.0385536i
\(530\) −4.38101 + 8.80882i −0.190299 + 0.382631i
\(531\) −8.24229 8.93543i −0.357685 0.387765i
\(532\) 9.74468 5.59920i 0.422485 0.242756i
\(533\) 0.828480 0.0358855
\(534\) −10.0561 20.3072i −0.435172 0.878778i
\(535\) 9.09228 6.03102i 0.393094 0.260744i
\(536\) −12.1210 + 2.13726i −0.523547 + 0.0923155i
\(537\) 26.6383 + 17.7355i 1.14953 + 0.765345i
\(538\) −4.11613 + 11.3090i −0.177459 + 0.487565i
\(539\) 0.926833 0.535107i 0.0399215 0.0230487i
\(540\) 11.6071 0.525203i 0.499489 0.0226012i
\(541\) −28.0937 + 23.5734i −1.20784 + 1.01350i −0.208472 + 0.978028i \(0.566849\pi\)
−0.999371 + 0.0354725i \(0.988706\pi\)
\(542\) 7.62685 + 9.08932i 0.327601 + 0.390420i
\(543\) 3.06648 2.25623i 0.131595 0.0968242i
\(544\) −2.23951 + 1.29298i −0.0960182 + 0.0554361i
\(545\) 20.9834 + 2.36968i 0.898828 + 0.101506i
\(546\) −11.8705 7.90325i −0.508008 0.338228i
\(547\) 5.59380 + 31.7240i 0.239174 + 1.35642i 0.833643 + 0.552303i \(0.186251\pi\)
−0.594469 + 0.804118i \(0.702638\pi\)
\(548\) 12.8181 4.66539i 0.547560 0.199296i
\(549\) 1.43079 + 30.4605i 0.0610645 + 1.30002i
\(550\) −13.5267 + 6.92602i −0.576780 + 0.295327i
\(551\) 1.63027 + 2.83726i 0.0694516 + 0.120872i
\(552\) 8.02605 + 3.51573i 0.341611 + 0.149640i
\(553\) 32.7511 + 27.4814i 1.39272 + 1.16863i
\(554\) −12.0809 + 4.39710i −0.513269 + 0.186815i
\(555\) 0.0419757 24.4097i 0.00178177 1.03613i
\(556\) 0.668550 3.79154i 0.0283528 0.160797i
\(557\) 7.80737 + 2.84165i 0.330809 + 0.120405i 0.502085 0.864819i \(-0.332567\pi\)
−0.171276 + 0.985223i \(0.554789\pi\)
\(558\) 7.70722 24.7288i 0.326273 1.04685i
\(559\) −14.3873 8.30653i −0.608519 0.351329i
\(560\) −3.42477 + 4.63792i −0.144723 + 0.195988i
\(561\) −13.0632 + 3.83099i −0.551527 + 0.161744i
\(562\) −13.8711 8.00848i −0.585117 0.337817i
\(563\) −13.7591 + 7.94379i −0.579875 + 0.334791i −0.761084 0.648654i \(-0.775332\pi\)
0.181209 + 0.983445i \(0.441999\pi\)
\(564\) 10.3409 10.8381i 0.435431 0.456365i
\(565\) −2.09453 33.6968i −0.0881173 1.41763i
\(566\) 3.28382 + 18.6234i 0.138029 + 0.782802i
\(567\) 22.3743 6.15392i 0.939631 0.258440i
\(568\) −2.93479 + 3.49754i −0.123141 + 0.146754i
\(569\) 35.5477 1.49024 0.745119 0.666932i \(-0.232393\pi\)
0.745119 + 0.666932i \(0.232393\pi\)
\(570\) 12.9734 10.8024i 0.543395 0.452462i
\(571\) −5.29456 −0.221570 −0.110785 0.993844i \(-0.535337\pi\)
−0.110785 + 0.993844i \(0.535337\pi\)
\(572\) −6.23862 + 7.43490i −0.260850 + 0.310869i
\(573\) −3.09258 0.197568i −0.129194 0.00825351i
\(574\) −0.116159 0.658772i −0.00484840 0.0274966i
\(575\) −7.44338 24.1746i −0.310410 1.00815i
\(576\) −1.15720 2.76783i −0.0482167 0.115326i
\(577\) −34.4185 + 19.8715i −1.43286 + 0.827262i −0.997338 0.0729164i \(-0.976769\pi\)
−0.435522 + 0.900178i \(0.643436\pi\)
\(578\) −8.93114 5.15640i −0.371486 0.214478i
\(579\) 1.56990 + 5.35313i 0.0652426 + 0.222469i
\(580\) −1.35038 0.997158i −0.0560715 0.0414047i
\(581\) −0.841881 0.486060i −0.0349271 0.0201652i
\(582\) 0.435148 + 3.91355i 0.0180374 + 0.162222i
\(583\) 12.5659 + 4.57361i 0.520427 + 0.189420i
\(584\) 1.70797 9.68637i 0.0706762 0.400825i
\(585\) −19.6066 8.62869i −0.810633 0.356753i
\(586\) 4.58656 1.66937i 0.189469 0.0689610i
\(587\) −22.3590 18.7615i −0.922857 0.774369i 0.0516644 0.998665i \(-0.483547\pi\)
−0.974521 + 0.224296i \(0.927992\pi\)
\(588\) 0.244708 0.558643i 0.0100916 0.0230380i
\(589\) −12.7985 35.3917i −0.527354 1.45829i
\(590\) 8.80837 2.12394i 0.362635 0.0874413i
\(591\) −4.98510 + 2.46862i −0.205059 + 0.101546i
\(592\) −5.92247 + 2.15560i −0.243412 + 0.0885948i
\(593\) −4.43465 25.1502i −0.182109 1.03279i −0.929613 0.368536i \(-0.879859\pi\)
0.747504 0.664257i \(-0.231252\pi\)
\(594\) −2.47981 15.5970i −0.101748 0.639954i
\(595\) 14.8148 + 1.67306i 0.607350 + 0.0685887i
\(596\) 7.50382 4.33233i 0.307368 0.177459i
\(597\) 3.39761 + 4.61773i 0.139055 + 0.188991i
\(598\) −10.3840 12.3752i −0.424634 0.506059i
\(599\) −25.1675 + 21.1180i −1.02831 + 0.862858i −0.990649 0.136432i \(-0.956436\pi\)
−0.0376649 + 0.999290i \(0.511992\pi\)
\(600\) −3.86983 + 7.74754i −0.157985 + 0.316292i
\(601\) −11.3807 + 6.57065i −0.464228 + 0.268022i −0.713820 0.700329i \(-0.753037\pi\)
0.249592 + 0.968351i \(0.419703\pi\)
\(602\) −4.58778 + 12.6048i −0.186984 + 0.513735i
\(603\) −31.0756 + 19.9420i −1.26550 + 0.812101i
\(604\) −20.5493 + 3.62340i −0.836141 + 0.147434i
\(605\) −2.17828 3.28395i −0.0885599 0.133512i
\(606\) 27.4376 13.5871i 1.11458 0.551939i
\(607\) 3.08925 0.125389 0.0626943 0.998033i \(-0.480031\pi\)
0.0626943 + 0.998033i \(0.480031\pi\)
\(608\) −3.77039 2.18727i −0.152910 0.0887054i
\(609\) −3.07086 1.34516i −0.124438 0.0545086i
\(610\) −20.3510 10.1214i −0.823988 0.409805i
\(611\) −25.9522 + 9.44584i −1.04992 + 0.382138i
\(612\) −4.70234 + 6.17032i −0.190081 + 0.249420i
\(613\) 3.85039 + 0.678928i 0.155516 + 0.0274216i 0.250864 0.968022i \(-0.419285\pi\)
−0.0953481 + 0.995444i \(0.530396\pi\)
\(614\) 1.48442 4.07841i 0.0599062 0.164591i
\(615\) −0.342044 0.944810i −0.0137925 0.0380984i
\(616\) 6.78661 + 3.91825i 0.273440 + 0.157871i
\(617\) 15.1487 12.7112i 0.609862 0.511735i −0.284736 0.958606i \(-0.591906\pi\)
0.894599 + 0.446871i \(0.147462\pi\)
\(618\) −31.3645 + 9.19817i −1.26167 + 0.370005i
\(619\) 19.5527 33.8662i 0.785888 1.36120i −0.142579 0.989783i \(-0.545540\pi\)
0.928467 0.371414i \(-0.121127\pi\)
\(620\) 13.3034 + 13.9911i 0.534278 + 0.561894i
\(621\) 26.2832 + 0.443188i 1.05471 + 0.0177845i
\(622\) −4.34687 + 24.6523i −0.174294 + 0.988469i
\(623\) 33.2205 5.85767i 1.33095 0.234683i
\(624\) −0.352624 + 5.51971i −0.0141163 + 0.220965i
\(625\) 24.2332 6.14422i 0.969329 0.245769i
\(626\) −0.699529 −0.0279588
\(627\) −16.5691 15.8748i −0.661707 0.633980i
\(628\) 12.2643i 0.489399i
\(629\) 12.4851 + 10.4763i 0.497815 + 0.417717i
\(630\) −4.11217 + 16.8001i −0.163833 + 0.669334i
\(631\) 3.34106 + 18.9481i 0.133005 + 0.754312i 0.976228 + 0.216747i \(0.0695446\pi\)
−0.843222 + 0.537565i \(0.819344\pi\)
\(632\) 2.87939 16.3298i 0.114536 0.649566i
\(633\) 3.21936 + 3.07169i 0.127958 + 0.122089i
\(634\) −7.75372 13.4298i −0.307940 0.533367i
\(635\) 18.7548 + 5.53520i 0.744262 + 0.219658i
\(636\) 7.31260 2.14454i 0.289963 0.0850366i
\(637\) −0.861358 + 0.722766i −0.0341283 + 0.0286370i
\(638\) −1.14084 + 1.97599i −0.0451663 + 0.0782304i
\(639\) −4.07563 + 13.0767i −0.161229 + 0.517308i
\(640\) 2.22194 + 0.250927i 0.0878301 + 0.00991875i
\(641\) 4.47239 25.3642i 0.176649 1.00182i −0.759575 0.650420i \(-0.774593\pi\)
0.936224 0.351405i \(-0.114296\pi\)
\(642\) −8.21248 1.99521i −0.324121 0.0787445i
\(643\) 5.91400 + 16.2486i 0.233226 + 0.640782i 0.999999 0.00113539i \(-0.000361407\pi\)
−0.766774 + 0.641917i \(0.778139\pi\)
\(644\) −8.38430 + 9.99201i −0.330388 + 0.393741i
\(645\) −3.53297 + 19.8369i −0.139110 + 0.781078i
\(646\) −0.0233587 + 11.2719i −0.000919037 + 0.443488i
\(647\) 15.5424 0.611035 0.305518 0.952186i \(-0.401170\pi\)
0.305518 + 0.952186i \(0.401170\pi\)
\(648\) −6.40588 6.32177i −0.251647 0.248342i
\(649\) −4.21226 11.5731i −0.165346 0.454283i
\(650\) 12.7323 9.63416i 0.499404 0.377883i
\(651\) 32.0952 + 21.3687i 1.25791 + 0.837505i
\(652\) −5.05251 + 13.8817i −0.197872 + 0.543648i
\(653\) −6.62802 11.4801i −0.259375 0.449250i 0.706700 0.707513i \(-0.250183\pi\)
−0.966075 + 0.258263i \(0.916850\pi\)
\(654\) −9.69380 13.1750i −0.379058 0.515182i
\(655\) −9.73948 + 13.1895i −0.380553 + 0.515356i
\(656\) −0.198745 + 0.166767i −0.00775969 + 0.00651115i
\(657\) −6.48172 28.7867i −0.252876 1.12308i
\(658\) 11.1496 + 19.3117i 0.434658 + 0.752850i
\(659\) −31.9611 11.6329i −1.24503 0.453153i −0.366309 0.930493i \(-0.619379\pi\)
−0.878719 + 0.477340i \(0.841601\pi\)
\(660\) 11.0545 + 4.04506i 0.430297 + 0.157454i
\(661\) 45.3644 7.99896i 1.76447 0.311124i 0.805071 0.593179i \(-0.202127\pi\)
0.959398 + 0.282055i \(0.0910161\pi\)
\(662\) −21.4754 + 7.81641i −0.834665 + 0.303793i
\(663\) 12.8174 6.34718i 0.497786 0.246504i
\(664\) 0.377032i 0.0146317i
\(665\) 9.99591 + 23.0571i 0.387625 + 0.894117i
\(666\) −13.8979 + 12.8198i −0.538534 + 0.496759i
\(667\) −2.90928 2.44118i −0.112648 0.0945227i
\(668\) 4.98650 + 13.7003i 0.192933 + 0.530080i
\(669\) −25.3452 6.15757i −0.979902 0.238065i
\(670\) −1.70739 27.4685i −0.0659620 1.06120i
\(671\) −10.5664 + 29.0310i −0.407912 + 1.12073i
\(672\) 4.43848 0.493514i 0.171218 0.0190377i
\(673\) 25.4433 44.0691i 0.980768 1.69874i 0.321353 0.946959i \(-0.395862\pi\)
0.659414 0.751780i \(-0.270804\pi\)
\(674\) −9.66555 11.5190i −0.372303 0.443694i
\(675\) −1.74555 + 25.9221i −0.0671864 + 0.997740i
\(676\) −1.40141 + 2.42731i −0.0539003 + 0.0933581i
\(677\) −40.5615 + 23.4182i −1.55891 + 0.900035i −0.561545 + 0.827447i \(0.689793\pi\)
−0.997362 + 0.0725886i \(0.976874\pi\)
\(678\) −18.0531 + 18.9210i −0.693324 + 0.726655i
\(679\) −5.77260 1.01787i −0.221532 0.0390621i
\(680\) −2.31098 5.30051i −0.0886221 0.203265i
\(681\) 20.8267 + 1.33050i 0.798082 + 0.0509850i
\(682\) 16.8679 20.1024i 0.645905 0.769759i
\(683\) 33.4053i 1.27822i 0.769116 + 0.639110i \(0.220697\pi\)
−0.769116 + 0.639110i \(0.779303\pi\)
\(684\) −12.9669 1.69088i −0.495802 0.0646524i
\(685\) 7.14984 + 29.6517i 0.273181 + 1.13293i
\(686\) 14.5214 + 12.1849i 0.554429 + 0.465221i
\(687\) −1.57655 + 24.6782i −0.0601493 + 0.941532i
\(688\) 5.12343 0.903399i 0.195329 0.0344418i
\(689\) −13.8363 2.43970i −0.527119 0.0929453i
\(690\) −9.82571 + 16.9512i −0.374059 + 0.645323i
\(691\) 23.1480 + 40.0935i 0.880591 + 1.52523i 0.850685 + 0.525676i \(0.176188\pi\)
0.0299064 + 0.999553i \(0.490479\pi\)
\(692\) 7.38647 + 4.26458i 0.280792 + 0.162115i
\(693\) 23.3184 + 2.99158i 0.885793 + 0.113641i
\(694\) 16.6305 + 19.8195i 0.631286 + 0.752337i
\(695\) 8.25682 + 2.43688i 0.313199 + 0.0924361i
\(696\) 0.143692 + 1.29231i 0.00544663 + 0.0489849i
\(697\) 0.630450 + 0.229465i 0.0238800 + 0.00869160i
\(698\) 5.07703 + 0.895217i 0.192168 + 0.0338845i
\(699\) 7.81306 + 1.89817i 0.295517 + 0.0717954i
\(700\) −9.44584 8.77343i −0.357019 0.331605i
\(701\) 5.16255 6.15249i 0.194987 0.232376i −0.659688 0.751539i \(-0.729312\pi\)
0.854675 + 0.519163i \(0.173756\pi\)
\(702\) 5.41142 + 15.6857i 0.204241 + 0.592018i
\(703\) −4.82656 + 27.0449i −0.182037 + 1.02002i
\(704\) 3.03935i 0.114550i
\(705\) 21.4867 + 25.6965i 0.809237 + 0.967787i
\(706\) 5.85564 + 16.0882i 0.220380 + 0.605489i
\(707\) 7.91446 + 44.8851i 0.297654 + 1.68808i
\(708\) −5.84209 3.88961i −0.219559 0.146181i
\(709\) 7.71715 + 2.80881i 0.289824 + 0.105487i 0.482841 0.875708i \(-0.339605\pi\)
−0.193017 + 0.981195i \(0.561827\pi\)
\(710\) −7.03493 7.39856i −0.264016 0.277663i
\(711\) −10.9272 48.5302i −0.409804 1.82003i
\(712\) −8.40970 10.0223i −0.315167 0.375601i
\(713\) 28.0761 + 33.4598i 1.05146 + 1.25308i
\(714\) −6.84410 9.30191i −0.256134 0.348115i
\(715\) −14.9545 15.7275i −0.559266 0.588174i
\(716\) 17.3623 + 6.31934i 0.648858 + 0.236165i
\(717\) −21.2174 + 31.8679i −0.792379 + 1.19013i
\(718\) −4.08818 23.1852i −0.152569 0.865264i
\(719\) −8.72890 23.9825i −0.325533 0.894395i −0.989227 0.146390i \(-0.953234\pi\)
0.663694 0.748004i \(-0.268988\pi\)
\(720\) 6.44034 1.87671i 0.240017 0.0699410i
\(721\) 48.6559i 1.81204i
\(722\) −16.4937 + 9.43172i −0.613833 + 0.351012i
\(723\) 28.2799 + 12.3877i 1.05174 + 0.460705i
\(724\) 1.41286 1.68378i 0.0525085 0.0625772i
\(725\) 2.55448 2.75026i 0.0948709 0.102142i
\(726\) −0.720629 + 2.96618i −0.0267450 + 0.110085i
\(727\) 36.4034 + 6.41890i 1.35013 + 0.238064i 0.801496 0.598000i \(-0.204038\pi\)
0.548632 + 0.836064i \(0.315149\pi\)
\(728\) −7.73691 2.81600i −0.286749 0.104368i
\(729\) −25.0459 10.0847i −0.927627 0.373507i
\(730\) 21.0940 + 6.22558i 0.780724 + 0.230419i
\(731\) −8.64768 10.3059i −0.319846 0.381178i
\(732\) 4.95453 + 16.8943i 0.183125 + 0.624430i
\(733\) −40.2287 23.2261i −1.48588 0.857874i −0.486011 0.873953i \(-0.661548\pi\)
−0.999871 + 0.0160785i \(0.994882\pi\)
\(734\) −15.2652 26.4401i −0.563448 0.975921i
\(735\) 1.17987 + 0.683906i 0.0435201 + 0.0252263i
\(736\) 4.98206 + 0.878472i 0.183641 + 0.0323809i
\(737\) −36.8400 + 6.49588i −1.35702 + 0.239279i
\(738\) −0.357109 + 0.691570i −0.0131454 + 0.0254571i
\(739\) −20.3684 17.0911i −0.749264 0.628707i 0.186044 0.982541i \(-0.440433\pi\)
−0.935308 + 0.353834i \(0.884878\pi\)
\(740\) −3.30352 13.7003i −0.121440 0.503633i
\(741\) 20.0402 + 13.4026i 0.736195 + 0.492357i
\(742\) 11.3441i 0.416454i
\(743\) 12.7757 15.2255i 0.468696 0.558570i −0.478971 0.877831i \(-0.658990\pi\)
0.947667 + 0.319261i \(0.103435\pi\)
\(744\) 0.953419 14.9241i 0.0349540 0.547145i
\(745\) 7.74329 + 17.7602i 0.283692 + 0.650682i
\(746\) −11.5993 2.04527i −0.424681 0.0748827i
\(747\) 0.436302 + 1.04356i 0.0159635 + 0.0381819i
\(748\) −6.80666 + 3.92983i −0.248876 + 0.143689i
\(749\) 6.29040 10.8953i 0.229846 0.398105i
\(750\) −16.2436 10.5426i −0.593131 0.384962i
\(751\) 11.3522 + 13.5290i 0.414246 + 0.493679i 0.932309 0.361663i \(-0.117791\pi\)
−0.518063 + 0.855343i \(0.673347\pi\)
\(752\) 4.32433 7.48996i 0.157692 0.273131i
\(753\) −4.43309 39.8695i −0.161551 1.45293i
\(754\) 0.819909 2.25268i 0.0298593 0.0820379i
\(755\) −2.89462 46.5687i −0.105346 1.69481i
\(756\) 11.7139 6.50218i 0.426029 0.236482i
\(757\) −1.57621 4.33061i −0.0572884 0.157399i 0.907747 0.419518i \(-0.137801\pi\)
−0.965035 + 0.262119i \(0.915579\pi\)
\(758\) 8.19130 + 6.87332i 0.297522 + 0.249650i
\(759\) 24.3940 + 10.6855i 0.885446 + 0.387861i
\(760\) 5.80608 7.82876i 0.210609 0.283979i
\(761\) 53.4428i 1.93730i −0.248430 0.968650i \(-0.579915\pi\)
0.248430 0.968650i \(-0.420085\pi\)
\(762\) −6.72174 13.5738i −0.243503 0.491726i
\(763\) 22.8807 8.32789i 0.828337 0.301490i
\(764\) −1.76196 + 0.310681i −0.0637454 + 0.0112400i
\(765\) −12.5302 11.9966i −0.453029 0.433740i
\(766\) −19.6574 7.15469i −0.710249 0.258510i
\(767\) 6.46983 + 11.2061i 0.233612 + 0.404628i
\(768\) −1.02648 1.39511i −0.0370401 0.0503417i
\(769\) 2.36333 1.98307i 0.0852238 0.0715112i −0.599180 0.800614i \(-0.704507\pi\)
0.684404 + 0.729103i \(0.260062\pi\)
\(770\) −10.4091 + 14.0963i −0.375117 + 0.507995i
\(771\) −10.1127 + 7.44067i −0.364201 + 0.267969i
\(772\) 1.61040 + 2.78929i 0.0579595 + 0.100389i
\(773\) −7.47640 + 20.5413i −0.268908 + 0.738817i 0.729583 + 0.683892i \(0.239714\pi\)
−0.998490 + 0.0549251i \(0.982508\pi\)