Properties

Label 570.2.bf.a.269.15
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 269.15
Character \(\chi\) \(=\) 570.269
Dual form 570.2.bf.a.89.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.642788 + 0.766044i) q^{2} +(1.19567 + 1.25315i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-2.23176 + 0.138722i) q^{5} +(-1.72853 + 0.110426i) q^{6} +(2.23292 - 1.28917i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-0.140760 + 2.99670i) q^{9} +O(q^{10})\) \(q+(-0.642788 + 0.766044i) q^{2} +(1.19567 + 1.25315i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-2.23176 + 0.138722i) q^{5} +(-1.72853 + 0.110426i) q^{6} +(2.23292 - 1.28917i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-0.140760 + 2.99670i) q^{9} +(1.32828 - 1.79880i) q^{10} +(2.63216 + 1.51968i) q^{11} +(1.02648 - 1.39511i) q^{12} +(3.00072 + 1.09217i) q^{13} +(-0.447726 + 2.53918i) q^{14} +(-2.84228 - 2.63086i) 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} +(4.28535 + 1.25675i) q^{21} +(-2.85606 + 1.03952i) q^{22} +(0.878472 + 4.98206i) q^{23} +(0.408904 + 1.68309i) q^{24} +(4.96151 - 0.619188i) q^{25} +(-2.76548 + 1.59665i) q^{26} +(-3.92361 + 3.40666i) q^{27} +(-1.65733 - 1.97513i) q^{28} +(-0.575080 + 0.482549i) q^{29} +(3.84234 - 0.486229i) q^{30} +(-7.47727 + 4.31700i) q^{31} +(0.342020 - 0.939693i) q^{32} +(1.24280 + 5.11551i) q^{33} +(2.54668 - 0.449048i) q^{34} +(-4.80450 + 3.18688i) q^{35} +(2.97561 - 0.381749i) 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} +(-3.71730 + 2.47494i) q^{42} +(-5.12343 - 0.903399i) q^{43} +(1.03952 - 2.85606i) q^{44} +(-0.101564 - 6.70744i) q^{45} +(-4.38115 - 2.52946i) q^{46} +(6.62526 - 5.55925i) q^{47} +(-1.55216 - 0.768632i) q^{48} +(-0.176060 + 0.304944i) q^{49} +(-2.71487 + 4.19875i) q^{50} +(-0.285558 - 4.46991i) q^{51} +(0.554511 - 3.14479i) q^{52} +(4.33290 - 0.764007i) q^{53} +(-0.0876053 - 5.19541i) q^{54} +(-6.08515 - 3.02642i) q^{55} +2.57835 q^{56} +(-6.29304 + 4.17105i) q^{57} -0.750713i q^{58} +(-3.10411 - 2.60465i) q^{59} +(-2.09734 + 3.25595i) q^{60} +(-1.76508 - 10.0103i) q^{61} +(1.49928 - 8.50284i) q^{62} +(3.54896 + 6.87283i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-6.84840 - 2.02120i) q^{65} +(-4.71756 - 2.33614i) q^{66} +(9.42846 - 7.91141i) q^{67} +(-1.29298 + 2.23951i) q^{68} +(-5.19290 + 7.05774i) q^{69} +(0.646977 - 5.72895i) q^{70} +(-0.792828 + 4.49635i) q^{71} +(-1.62025 + 2.52483i) q^{72} +(3.36404 + 9.24263i) q^{73} +(-4.05121 + 4.82804i) q^{74} +(6.70825 + 5.47717i) q^{75} +(4.35889 + 0.00903289i) q^{76} +7.83651 q^{77} +(-5.30744 - 1.55649i) q^{78} +(5.67129 + 15.5817i) q^{79} +(2.04972 - 0.893663i) q^{80} +(-8.96037 - 0.843632i) q^{81} +(0.0887348 - 0.243797i) q^{82} +(0.188516 + 0.326520i) q^{83} +(0.493514 - 4.43848i) q^{84} +(4.65162 + 3.43489i) q^{85} +(3.98532 - 3.34408i) q^{86} +(-1.29231 - 0.143692i) q^{87} +(1.51968 + 2.63216i) q^{88} +(-12.2942 - 4.47471i) q^{89} +(5.20348 + 4.23365i) q^{90} +(8.10836 - 1.42972i) q^{91} +(4.75383 - 1.73025i) q^{92} +(-14.3502 - 4.20843i) 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} +(-4.92451 + 7.67386i) 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
\(3\) 1.19567 + 1.25315i 0.690319 + 0.723505i
\(4\) −0.173648 0.984808i −0.0868241 0.492404i
\(5\) −2.23176 + 0.138722i −0.998074 + 0.0620383i
\(6\) −1.72853 + 0.110426i −0.705668 + 0.0450813i
\(7\) 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
\(9\) −0.140760 + 2.99670i −0.0469201 + 0.998899i
\(10\) 1.32828 1.79880i 0.420039 0.568829i
\(11\) 2.63216 + 1.51968i 0.793625 + 0.458199i 0.841237 0.540666i \(-0.181828\pi\)
−0.0476123 + 0.998866i \(0.515161\pi\)
\(12\) 1.02648 1.39511i 0.296321 0.402733i
\(13\) 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
\(15\) −2.84228 2.63086i −0.733874 0.679286i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −1.98096 1.66223i −0.480454 0.403149i 0.370136 0.928977i \(-0.379311\pi\)
−0.850591 + 0.525828i \(0.823755\pi\)
\(18\) −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
\(21\) 4.28535 + 1.25675i 0.935140 + 0.274245i
\(22\) −2.85606 + 1.03952i −0.608913 + 0.221626i
\(23\) 0.878472 + 4.98206i 0.183174 + 1.03883i 0.928279 + 0.371884i \(0.121288\pi\)
−0.745105 + 0.666947i \(0.767601\pi\)
\(24\) 0.408904 + 1.68309i 0.0834672 + 0.343560i
\(25\) 4.96151 0.619188i 0.992303 0.123838i
\(26\) −2.76548 + 1.59665i −0.542356 + 0.313129i
\(27\) −3.92361 + 3.40666i −0.755098 + 0.655611i
\(28\) −1.65733 1.97513i −0.313206 0.373264i
\(29\) −0.575080 + 0.482549i −0.106790 + 0.0896071i −0.694619 0.719378i \(-0.744427\pi\)
0.587829 + 0.808985i \(0.299983\pi\)
\(30\) 3.84234 0.486229i 0.701512 0.0887729i
\(31\) −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
\(33\) 1.24280 + 5.11551i 0.216344 + 0.890496i
\(34\) 2.54668 0.449048i 0.436752 0.0770111i
\(35\) −4.80450 + 3.18688i −0.812108 + 0.538681i
\(36\) 2.97561 0.381749i 0.495935 0.0636248i
\(37\) 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 −0.360987 0.932571i \(-0.617560\pi\)
0.322913 + 0.946429i \(0.395338\pi\)
\(42\) −3.71730 + 2.47494i −0.573591 + 0.381892i
\(43\) −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
\(45\) −0.101564 6.70744i −0.0151402 0.999885i
\(46\) −4.38115 2.52946i −0.645965 0.372948i
\(47\) 6.62526 5.55925i 0.966394 0.810901i −0.0155877 0.999879i \(-0.504962\pi\)
0.981981 + 0.188978i \(0.0605175\pi\)
\(48\) −1.55216 0.768632i −0.224035 0.110942i
\(49\) −0.176060 + 0.304944i −0.0251514 + 0.0435635i
\(50\) −2.71487 + 4.19875i −0.383941 + 0.593792i
\(51\) −0.285558 4.46991i −0.0399861 0.625912i
\(52\) 0.554511 3.14479i 0.0768969 0.436104i
\(53\) 4.33290 0.764007i 0.595169 0.104944i 0.132054 0.991243i \(-0.457843\pi\)
0.463115 + 0.886298i \(0.346732\pi\)
\(54\) −0.0876053 5.19541i −0.0119216 0.707006i
\(55\) −6.08515 3.02642i −0.820522 0.408082i
\(56\) 2.57835 0.344546
\(57\) −6.29304 + 4.17105i −0.833533 + 0.552470i
\(58\) 0.750713i 0.0985735i
\(59\) −3.10411 2.60465i −0.404120 0.339097i 0.417963 0.908464i \(-0.362744\pi\)
−0.822084 + 0.569367i \(0.807188\pi\)
\(60\) −2.09734 + 3.25595i −0.270765 + 0.420341i
\(61\) −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
\(63\) 3.54896 + 6.87283i 0.447127 + 0.865896i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) −6.84840 2.02120i −0.849440 0.250700i
\(66\) −4.71756 2.33614i −0.580692 0.287559i
\(67\) 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
\(69\) −5.19290 + 7.05774i −0.625152 + 0.849652i
\(70\) 0.646977 5.72895i 0.0773285 0.684740i
\(71\) −0.792828 + 4.49635i −0.0940914 + 0.533619i 0.900931 + 0.433963i \(0.142885\pi\)
−0.995022 + 0.0996557i \(0.968226\pi\)
\(72\) −1.62025 + 2.52483i −0.190948 + 0.297555i
\(73\) 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
\(75\) 6.70825 + 5.47717i 0.774602 + 0.632449i
\(76\) 4.35889 + 0.00903289i 0.499999 + 0.00103614i
\(77\) 7.83651 0.893053
\(78\) −5.30744 1.55649i −0.600949 0.176238i
\(79\) 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
\(81\) −8.96037 0.843632i −0.995597 0.0937369i
\(82\) 0.0887348 0.243797i 0.00979912 0.0269228i
\(83\) 0.188516 + 0.326520i 0.0206923 + 0.0358402i 0.876186 0.481973i \(-0.160080\pi\)
−0.855494 + 0.517813i \(0.826746\pi\)
\(84\) 0.493514 4.43848i 0.0538468 0.484278i
\(85\) 4.65162 + 3.43489i 0.504539 + 0.372566i
\(86\) 3.98532 3.34408i 0.429748 0.360602i
\(87\) −1.29231 0.143692i −0.138550 0.0154054i
\(88\) 1.51968 + 2.63216i 0.161998 + 0.280589i
\(89\) −12.2942 4.47471i −1.30318 0.474318i −0.405148 0.914251i \(-0.632780\pi\)
−0.898031 + 0.439933i \(0.855002\pi\)
\(90\) 5.20348 + 4.23365i 0.548495 + 0.446266i
\(91\) 8.10836 1.42972i 0.849987 0.149876i
\(92\) 4.75383 1.73025i 0.495621 0.180391i
\(93\) −14.3502 4.20843i −1.48804 0.436393i
\(94\) 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
\(99\) −4.92451 + 7.67386i −0.494932 + 0.771252i
\(100\) −1.47134 4.77862i −0.147134 0.477862i
\(101\) 6.04590 16.6110i 0.601590 1.65285i −0.146465 0.989216i \(-0.546789\pi\)
0.748054 0.663638i \(-0.230988\pi\)
\(102\) 3.60770 + 2.65445i 0.357216 + 0.262830i
\(103\) 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
\(105\) −9.73821 2.21029i −0.950352 0.215703i
\(106\) −2.19987 + 3.81029i −0.213670 + 0.370088i
\(107\) −4.22569 + 2.43970i −0.408513 + 0.235855i −0.690150 0.723666i \(-0.742456\pi\)
0.281638 + 0.959521i \(0.409122\pi\)
\(108\) 4.03623 + 3.27244i 0.388386 + 0.314891i
\(109\) 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
\(111\) 7.53577 + 7.89804i 0.715263 + 0.749649i
\(112\) −1.65733 + 1.97513i −0.156603 + 0.186632i
\(113\) 15.0987i 1.42037i 0.704015 + 0.710185i \(0.251389\pi\)
−0.704015 + 0.710185i \(0.748611\pi\)
\(114\) 0.849872 7.50185i 0.0795978 0.702612i
\(115\) −2.65166 10.9969i −0.247268 1.02547i
\(116\) 0.575080 + 0.482549i 0.0533948 + 0.0448036i
\(117\) −3.69530 + 8.83852i −0.341630 + 0.817121i
\(118\) 3.99056 0.703644i 0.367361 0.0647756i
\(119\) −6.56622 1.15780i −0.601925 0.106136i
\(120\) −1.14606 3.69953i −0.104620 0.337720i
\(121\) −0.881171 1.52623i −0.0801065 0.138748i
\(122\) 8.80290 + 5.08235i 0.796977 + 0.460135i
\(123\) −0.402698 0.199416i −0.0363100 0.0179808i
\(124\) 5.54983 + 6.61403i 0.498390 + 0.593958i
\(125\) −10.9870 + 2.07015i −0.982708 + 0.185160i
\(126\) −7.54612 1.69911i −0.672262 0.151369i
\(127\) 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
\(129\) −4.99383 7.50059i −0.439682 0.660390i
\(130\) 5.95040 3.94698i 0.521885 0.346173i
\(131\) 4.71317 5.61694i 0.411792 0.490754i −0.519786 0.854296i \(-0.673988\pi\)
0.931578 + 0.363542i \(0.118433\pi\)
\(132\) 4.82198 2.11222i 0.419700 0.183845i
\(133\) 3.82199 + 10.5689i 0.331408 + 0.916442i
\(134\) 12.3080i 1.06325i
\(135\) 8.28397 8.14713i 0.712971 0.701194i
\(136\) −0.884452 2.43001i −0.0758411 0.208372i
\(137\) −2.36868 13.4335i −0.202370 1.14770i −0.901525 0.432727i \(-0.857551\pi\)
0.699155 0.714970i \(-0.253560\pi\)
\(138\) −2.06861 8.51462i −0.176092 0.724813i
\(139\) 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
\(141\) 14.8882 + 1.65542i 1.25381 + 0.139411i
\(142\) −2.93479 3.49754i −0.246282 0.293507i
\(143\) 6.23862 + 7.43490i 0.521700 + 0.621737i
\(144\) −0.892659 2.86412i −0.0743882 0.238676i
\(145\) 1.21650 1.15671i 0.101025 0.0960596i
\(146\) −9.24263 3.36404i −0.764925 0.278410i
\(147\) −0.592649 + 0.143983i −0.0488809 + 0.0118755i
\(148\) −1.09443 6.20681i −0.0899615 0.510197i
\(149\) −2.96349 8.14212i −0.242779 0.667029i −0.999905 0.0137607i \(-0.995620\pi\)
0.757127 0.653268i \(-0.226603\pi\)
\(150\) −8.50773 + 1.61816i −0.694654 + 0.132122i
\(151\) 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
\(156\) 4.60390 3.06524i 0.368607 0.245415i
\(157\) −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
\(159\) 6.13812 + 4.51626i 0.486784 + 0.358163i
\(160\) −0.632951 + 2.14461i −0.0500392 + 0.169547i
\(161\) 8.38430 + 9.99201i 0.660775 + 0.787481i
\(162\) 6.40588 6.32177i 0.503293 0.496685i
\(163\) −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
\(165\) −3.48327 11.2442i −0.271172 0.875359i
\(166\) −0.371304 0.0654710i −0.0288188 0.00508153i
\(167\) 14.3580 2.53171i 1.11106 0.195910i 0.412147 0.911117i \(-0.364779\pi\)
0.698912 + 0.715208i \(0.253668\pi\)
\(168\) 3.08285 + 3.23105i 0.237847 + 0.249281i
\(169\) −2.14708 1.80162i −0.165160 0.138586i
\(170\) −5.62128 + 1.35545i −0.431133 + 0.103958i
\(171\) −12.7513 2.89891i −0.975118 0.221685i
\(172\) 5.20247i 0.396685i
\(173\) 5.48244 6.53372i 0.416822 0.496749i −0.516250 0.856438i \(-0.672673\pi\)
0.933072 + 0.359688i \(0.117117\pi\)
\(174\) 0.940755 0.897603i 0.0713184 0.0680471i
\(175\) 10.2804 7.77885i 0.777125 0.588026i
\(176\) −2.99318 0.527778i −0.225619 0.0397828i
\(177\) −0.447460 7.00420i −0.0336331 0.526468i
\(178\) 11.3304 6.54159i 0.849246 0.490313i
\(179\) 9.23826 16.0011i 0.690500 1.19598i −0.281174 0.959657i \(-0.590724\pi\)
0.971674 0.236325i \(-0.0759429\pi\)
\(180\) −6.58790 + 1.26475i −0.491033 + 0.0942692i
\(181\) 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
\(183\) 10.4339 14.1809i 0.771297 1.04828i
\(184\) −1.73025 + 4.75383i −0.127556 + 0.350457i
\(185\) −14.0658 + 0.874303i −1.03414 + 0.0642800i
\(186\) 12.4480 8.28774i 0.912728 0.607687i
\(187\) −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 \(0.0206182\pi\)
−0.997903 + 0.0647288i \(0.979382\pi\)
\(192\) −0.487425 + 1.66205i −0.0351768 + 0.119948i
\(193\) −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
\(195\) −5.65554 10.9988i −0.405002 0.787637i
\(196\) 0.330884 + 0.120432i 0.0236346 + 0.00860228i
\(197\) 1.60586 + 2.78142i 0.114413 + 0.198168i 0.917545 0.397633i \(-0.130168\pi\)
−0.803132 + 0.595801i \(0.796835\pi\)
\(198\) −2.71310 8.70506i −0.192812 0.618641i
\(199\) −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
\(201\) 21.1875 + 2.35583i 1.49445 + 0.166168i
\(202\) 8.83851 + 15.3088i 0.621876 + 1.07712i
\(203\) −0.662014 + 1.81887i −0.0464643 + 0.127660i
\(204\) −4.35241 + 1.05741i −0.304730 + 0.0740336i
\(205\) 0.531787 0.231855i 0.0371416 0.0161934i
\(206\) 6.45425 + 17.7329i 0.449689 + 1.23551i
\(207\) −15.0534 + 1.93124i −1.04628 + 0.134230i
\(208\) −3.19330 −0.221416
\(209\) −8.53681 + 10.1311i −0.590503 + 0.700780i
\(210\) 7.95279 6.03915i 0.548794 0.416741i
\(211\) −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
\(213\) −6.58256 + 4.38261i −0.451029 + 0.300292i
\(214\) 0.847299 4.80527i 0.0579202 0.328482i
\(215\) 11.5596 + 1.30544i 0.788358 + 0.0890302i
\(216\) −5.10127 + 0.988448i −0.347098 + 0.0672554i
\(217\) −11.1307 + 19.2790i −0.755604 + 1.30874i
\(218\) −7.23429 + 6.07029i −0.489968 + 0.411132i
\(219\) −7.56011 + 15.2667i −0.510865 + 1.03163i
\(220\) −1.92376 + 6.51824i −0.129700 + 0.439460i
\(221\) −4.12888 7.15143i −0.277739 0.481058i
\(222\) −10.8942 + 0.695967i −0.731168 + 0.0467103i
\(223\) 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
\(225\) 1.15713 + 14.9553i 0.0771422 + 0.997020i
\(226\) −11.5663 9.70528i −0.769379 0.645586i
\(227\) 12.0488i 0.799709i −0.916579 0.399854i \(-0.869061\pi\)
0.916579 0.399854i \(-0.130939\pi\)
\(228\) 5.20046 + 5.47313i 0.344409 + 0.362467i
\(229\) −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
\(231\) 9.36985 + 9.82030i 0.616491 + 0.646129i
\(232\) −0.739308 + 0.130360i −0.0485380 + 0.00855855i
\(233\) 0.806091 4.57157i 0.0528088 0.299493i −0.946952 0.321376i \(-0.895855\pi\)
0.999761 + 0.0218823i \(0.00696591\pi\)
\(234\) −4.39541 8.51205i −0.287337 0.556450i
\(235\) −14.0148 + 13.3260i −0.914225 + 0.869292i
\(236\) −2.02606 + 3.50924i −0.131885 + 0.228432i
\(237\) −12.7453 + 25.7375i −0.827893 + 1.67183i
\(238\) 5.10761 4.28580i 0.331077 0.277807i
\(239\) 19.1425 + 11.0519i 1.23823 + 0.714891i 0.968732 0.248111i \(-0.0798099\pi\)
0.269495 + 0.963002i \(0.413143\pi\)
\(240\) 3.57068 + 1.50008i 0.230486 + 0.0968300i
\(241\) −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
\(243\) −9.65643 12.2374i −0.619460 0.785028i
\(244\) −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
\(249\) −0.183775 + 0.626647i −0.0116463 + 0.0397122i
\(250\) 5.47649 9.74721i 0.346364 0.616468i
\(251\) −22.8087 + 4.02179i −1.43967 + 0.253853i −0.838340 0.545147i \(-0.816474\pi\)
−0.601331 + 0.799000i \(0.705363\pi\)
\(252\) 6.15215 4.68850i 0.387549 0.295347i
\(253\) −5.25884 + 14.4485i −0.330621 + 0.908372i
\(254\) −7.57345 + 4.37254i −0.475201 + 0.274357i
\(255\) 1.25737 + 9.93615i 0.0787396 + 0.622226i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 4.65937 + 5.55282i 0.290644 + 0.346375i 0.891532 0.452957i \(-0.149631\pi\)
−0.600889 + 0.799333i \(0.705187\pi\)
\(258\) 8.95575 + 0.995790i 0.557561 + 0.0619952i
\(259\) 14.0731 8.12510i 0.874459 0.504869i
\(260\) −0.801285 + 7.09534i −0.0496936 + 0.440034i
\(261\) −1.36510 1.79126i −0.0844979 0.110876i
\(262\) 1.27326 + 7.22099i 0.0786620 + 0.446115i
\(263\) −15.1819 + 5.52575i −0.936154 + 0.340732i −0.764646 0.644450i \(-0.777086\pi\)
−0.171508 + 0.985183i \(0.554864\pi\)
\(264\) −1.48145 + 5.05156i −0.0911772 + 0.310902i
\(265\) −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 0.0265908 0.999646i \(-0.491535\pi\)
0.662930 + 0.748681i \(0.269313\pi\)
\(270\) 0.916231 + 11.5828i 0.0557601 + 0.704905i
\(271\) −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
\(273\) 11.4866 + 8.45151i 0.695198 + 0.511508i
\(274\) 11.8132 + 6.82034i 0.713660 + 0.412032i
\(275\) 14.0004 + 5.91009i 0.844258 + 0.356392i
\(276\) 7.85225 + 3.88844i 0.472650 + 0.234057i
\(277\) −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
\(279\) −11.8842 23.0148i −0.711491 1.37786i
\(280\) −5.75426 + 0.357673i −0.343883 + 0.0213751i
\(281\) 2.78132 + 15.7736i 0.165919 + 0.940976i 0.948111 + 0.317938i \(0.102990\pi\)
−0.782192 + 0.623037i \(0.785898\pi\)
\(282\) −10.8381 + 10.3409i −0.645397 + 0.615793i
\(283\) −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
\(285\) 13.4659 10.1818i 0.797653 0.603116i
\(286\) −9.70557 −0.573902
\(287\) −0.429983 + 0.512434i −0.0253811 + 0.0302480i
\(288\) 2.76783 + 1.15720i 0.163096 + 0.0681888i
\(289\) −1.79080 10.1561i −0.105341 0.597419i
\(290\) 0.104140 + 1.67541i 0.00611533 + 0.0983836i
\(291\) −0.251044 3.92966i −0.0147165 0.230361i
\(292\) 8.51805 4.91790i 0.498481 0.287798i
\(293\) −4.22699 2.44046i −0.246944 0.142573i 0.371420 0.928465i \(-0.378871\pi\)
−0.618364 + 0.785892i \(0.712204\pi\)
\(294\) 0.270650 0.546546i 0.0157846 0.0318752i
\(295\) 7.28894 + 5.38236i 0.424379 + 0.313373i
\(296\) 5.45818 + 3.15128i 0.317250 + 0.183165i
\(297\) −15.5046 + 3.00424i −0.899666 + 0.174324i
\(298\) 8.14212 + 2.96349i 0.471661 + 0.171670i
\(299\) −2.80523 + 15.9092i −0.162230 + 0.920054i
\(300\) 4.22908 7.55744i 0.244166 0.436329i
\(301\) −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
\(306\) 0.987189 + 7.69483i 0.0564338 + 0.439884i
\(307\) 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
\(309\) 31.7616 7.71642i 1.80685 0.438972i
\(310\) −2.16650 + 19.1843i −0.123049 + 1.08959i
\(311\) 21.6789 12.5163i 1.22930 0.709736i 0.262415 0.964955i \(-0.415481\pi\)
0.966883 + 0.255219i \(0.0821477\pi\)
\(312\) −0.611221 + 5.49709i −0.0346036 + 0.311211i
\(313\) −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
\(315\) −8.87384 14.8462i −0.499984 0.836489i
\(316\) 14.3602 8.29087i 0.807825 0.466398i
\(317\) −5.30386 + 14.5722i −0.297894 + 0.818458i 0.696957 + 0.717113i \(0.254537\pi\)
−0.994851 + 0.101345i \(0.967685\pi\)
\(318\) −7.40516 + 1.79907i −0.415261 + 0.100887i
\(319\) −2.24702 + 0.396210i −0.125809 + 0.0221835i
\(320\) −1.23602 1.86340i −0.0690955 0.104167i
\(321\) −8.10982 2.37834i −0.452646 0.132746i
\(322\) −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
\(327\) 9.06496 + 13.6153i 0.501293 + 0.752928i
\(328\) −0.255502 0.0450518i −0.0141077 0.00248757i
\(329\) 7.62680 20.9545i 0.420479 1.15526i
\(330\) 10.8525 + 4.55928i 0.597413 + 0.250980i
\(331\) −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
\(333\) −0.887151 + 18.8869i −0.0486156 + 1.03499i
\(334\) −7.28977 + 12.6263i −0.398879 + 0.690878i
\(335\) −19.9446 + 18.9643i −1.08969 + 1.03613i
\(336\) −4.45675 + 0.284717i −0.243135 + 0.0155326i
\(337\) 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
\(339\) −18.9210 + 18.0531i −1.02765 + 0.980508i
\(340\) 2.57496 5.17742i 0.139647 0.280785i
\(341\) −26.2418 −1.42107
\(342\) 10.4171 7.90470i 0.563292 0.427437i
\(343\) 18.9563i 1.02355i
\(344\) −3.98532 3.34408i −0.214874 0.180301i
\(345\) 10.6102 16.4716i 0.571236 0.886799i
\(346\) 1.48107 + 8.39959i 0.0796230 + 0.451565i
\(347\) 4.49271 25.4794i 0.241181 1.36781i −0.588015 0.808850i \(-0.700090\pi\)
0.829196 0.558957i \(-0.188798\pi\)
\(348\) 0.0828983 + 1.29763i 0.00444382 + 0.0695602i
\(349\) 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
\(351\) −15.4943 + 5.93717i −0.827026 + 0.316903i
\(352\) 2.32828 1.95366i 0.124098 0.104130i
\(353\) 8.56038 14.8270i 0.455623 0.789162i −0.543101 0.839668i \(-0.682750\pi\)
0.998724 + 0.0505053i \(0.0160832\pi\)
\(354\) 5.65315 + 4.15944i 0.300462 + 0.221072i
\(355\) 1.14566 10.1448i 0.0608054 0.538428i
\(356\) −2.27187 + 12.8844i −0.120409 + 0.682872i
\(357\) −6.40012 9.61279i −0.338730 0.508763i
\(358\) 6.31934 + 17.3623i 0.333988 + 0.917624i
\(359\) −15.1331 + 18.0349i −0.798693 + 0.951845i −0.999615 0.0277621i \(-0.991162\pi\)
0.200922 + 0.979607i \(0.435606\pi\)
\(360\) 3.26576 5.85959i 0.172121 0.308828i
\(361\) −17.8271 6.57232i −0.938267 0.345912i
\(362\) −2.19802 −0.115525
\(363\) 0.859009 2.92910i 0.0450863 0.153738i
\(364\) −2.81600 7.73691i −0.147599 0.405524i
\(365\) −8.78989 20.1607i −0.460084 1.05526i
\(366\) 4.15639 + 17.1081i 0.217258 + 0.894257i
\(367\) 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
\(369\) −0.231594 0.743075i −0.0120563 0.0386829i
\(370\) 8.37157 11.3370i 0.435217 0.589384i
\(371\) 8.69005 7.29182i 0.451165 0.378573i
\(372\) −1.65261 + 14.8629i −0.0856839 + 0.770608i
\(373\) −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
\(375\) −15.7310 11.2931i −0.812346 0.583176i
\(376\) 8.51727 1.50182i 0.439245 0.0774507i
\(377\) −2.25268 + 0.819909i −0.116019 + 0.0422275i
\(378\) −6.89341 11.4880i −0.354559 0.590878i
\(379\) 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 \(0.0683715\pi\)
−0.611432 + 0.791297i \(0.709406\pi\)
\(384\) −0.959895 1.44174i −0.0489845 0.0735733i
\(385\) −17.4892 + 1.08709i −0.891333 + 0.0554035i
\(386\) 1.10158 3.02656i 0.0560688 0.154048i
\(387\) 3.42839 15.2262i 0.174275 0.773992i
\(388\) −1.13671 + 1.96883i −0.0577075 + 0.0999524i
\(389\) 22.7618 + 27.1264i 1.15407 + 1.37536i 0.914550 + 0.404472i \(0.132545\pi\)
0.239517 + 0.970892i \(0.423011\pi\)
\(390\) 12.0608 + 2.73747i 0.610725 + 0.138617i
\(391\) 6.54109 11.3295i 0.330797 0.572957i
\(392\) −0.304944 + 0.176060i −0.0154020 + 0.00889236i
\(393\) 12.6742 0.809687i 0.639331 0.0408433i
\(394\) −3.16292 0.557708i −0.159346 0.0280969i
\(395\) −14.8185 33.9880i −0.745599 1.71012i
\(396\) 8.41241 + 3.51714i 0.422739 + 0.176743i
\(397\) −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
\(399\) −8.67460 + 17.4264i −0.434273 + 0.872413i
\(400\) −4.45052 + 2.27878i −0.222526 + 0.113939i
\(401\) −6.54292 5.49016i −0.326738 0.274165i 0.464631 0.885504i \(-0.346187\pi\)
−0.791369 + 0.611339i \(0.790631\pi\)
\(402\) −15.4237 + 14.7162i −0.769265 + 0.733979i
\(403\) −27.1521 + 4.78765i −1.35254 + 0.238490i
\(404\) −17.4085 3.06958i −0.866104 0.152718i
\(405\) 20.1144 + 0.639785i 0.999495 + 0.0317912i
\(406\) −0.967800 1.67628i −0.0480311 0.0831923i
\(407\) 16.5893 + 9.57785i 0.822302 + 0.474756i
\(408\) 1.98765 4.01383i 0.0984035 0.198714i
\(409\) −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
\(411\) 14.0020 19.0302i 0.690665 0.938693i
\(412\) −17.7329 6.45425i −0.873638 0.317978i
\(413\) −10.2891 1.81424i −0.506291 0.0892728i
\(414\) 8.19671 12.7729i 0.402846 0.627755i
\(415\) −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 \(0.00100977\pi\)
−0.999995 + 0.00317227i \(0.998990\pi\)
\(420\) −0.485692 + 9.97408i −0.0236993 + 0.486685i
\(421\) 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
\(423\) 15.7268 + 20.6364i 0.764664 + 1.00338i
\(424\) 4.13440 + 1.50480i 0.200784 + 0.0730795i
\(425\) −10.8578 7.02056i −0.526681 0.340547i
\(426\) 0.873911 7.85962i 0.0423411 0.380800i
\(427\) −16.8463 20.0766i −0.815249 0.971576i
\(428\) 3.13642 + 3.73784i 0.151605 + 0.180675i
\(429\) −1.85772 + 16.7076i −0.0896913 + 0.806649i
\(430\) −8.43039 + 8.01605i −0.406550 + 0.386568i
\(431\) −19.7834 7.20058i −0.952934 0.346840i −0.181673 0.983359i \(-0.558151\pi\)
−0.771261 + 0.636519i \(0.780373\pi\)
\(432\) 2.52184 4.54316i 0.121332 0.218583i
\(433\) 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
\(435\) 2.90406 + 0.141414i 0.139239 + 0.00678030i
\(436\) 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
\(441\) −0.889043 0.570521i −0.0423354 0.0271677i
\(442\) 8.13231 + 1.43395i 0.386815 + 0.0682059i
\(443\) 34.9513 + 12.7212i 1.66058 + 0.604404i 0.990455 0.137840i \(-0.0440159\pi\)
0.670130 + 0.742243i \(0.266238\pi\)
\(444\) 6.46948 8.79276i 0.307028 0.417286i
\(445\) 28.0584 + 8.28101i 1.33009 + 0.392558i
\(446\) 9.67956 + 11.5356i 0.458340 + 0.546229i
\(447\) 6.65994 13.4490i 0.315004 0.636114i
\(448\) 2.23292 + 1.28917i 0.105495 + 0.0609078i
\(449\) 4.62800 + 8.01594i 0.218409 + 0.378295i 0.954322 0.298781i \(-0.0965800\pi\)
−0.735913 + 0.677076i \(0.763247\pi\)
\(450\) −12.2002 8.72667i −0.575124 0.411379i
\(451\) −0.776559 0.136928i −0.0365667 0.00644770i
\(452\) 14.8694 2.62187i 0.699396 0.123322i
\(453\) 26.1486 24.9492i 1.22857 1.17222i
\(454\) 9.22994 + 7.74484i 0.433182 + 0.363483i
\(455\) −17.8976 + 4.31561i −0.839052 + 0.202319i
\(456\) −7.53546 + 0.465721i −0.352880 + 0.0218094i
\(457\) 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
\(459\) 13.4352 0.226544i 0.627099 0.0105742i
\(460\) −10.3694 + 4.52097i −0.483475 + 0.210791i
\(461\) −23.7668 4.19072i −1.10693 0.195181i −0.409834 0.912160i \(-0.634413\pi\)
−0.697095 + 0.716979i \(0.745524\pi\)
\(462\) −13.5456 + 0.865355i −0.630199 + 0.0402599i
\(463\) −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
\(465\) 32.6099 + 7.40152i 1.51225 + 0.343237i
\(466\) 2.98388 + 3.55605i 0.138226 + 0.164731i
\(467\) 14.9856 25.9559i 0.693452 1.20109i −0.277247 0.960799i \(-0.589422\pi\)
0.970700 0.240296i \(-0.0772446\pi\)
\(468\) 9.34592 + 2.10436i 0.432015 + 0.0972742i
\(469\) 10.8538 29.8204i 0.501180 1.37698i
\(470\) −1.19976 19.3017i −0.0553407 0.890323i
\(471\) −11.7724 17.6819i −0.542445 0.814738i
\(472\) −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
\(477\) 1.67960 + 13.0919i 0.0769034 + 0.599438i
\(478\) −20.7709 + 7.55997i −0.950037 + 0.345785i
\(479\) −14.8496 + 2.61838i −0.678495 + 0.119637i −0.502267 0.864712i \(-0.667501\pi\)
−0.176228 + 0.984349i \(0.556390\pi\)
\(480\) −3.44432 + 1.77106i −0.157211 + 0.0808376i
\(481\) 18.9122 + 6.88349i 0.862324 + 0.313860i
\(482\) −8.91259 15.4371i −0.405957 0.703139i
\(483\) −2.49665 + 22.4539i −0.113601 + 1.02169i
\(484\) −1.35003 + 1.13281i −0.0613651 + 0.0514914i
\(485\) 4.08941 + 3.01973i 0.185690 + 0.137119i
\(486\) 15.5814 + 0.468782i 0.706787 + 0.0212644i
\(487\) 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
\(489\) −6.04056 24.8636i −0.273163 1.12437i
\(490\) 0.314676 + 0.721747i 0.0142156 + 0.0326052i
\(491\) 5.34417 + 14.6830i 0.241179 + 0.662634i 0.999937 + 0.0112608i \(0.00358449\pi\)
−0.758758 + 0.651373i \(0.774193\pi\)
\(492\) −0.126459 + 0.431208i −0.00570121 + 0.0194404i
\(493\) 1.94132 0.0874325
\(494\) −4.73356 13.0897i −0.212973 0.588933i
\(495\) 9.92579 17.8094i 0.446131 0.800471i
\(496\) 5.54983 6.61403i 0.249195 0.296979i
\(497\) 4.02626 + 11.0621i 0.180603 + 0.496202i
\(498\) −0.361911 0.543581i −0.0162176 0.0243584i
\(499\) 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
\(501\) 20.3401 + 14.9657i 0.908727 + 0.668617i
\(502\) 11.5803 20.0576i 0.516853 0.895215i
\(503\) −13.5745 + 11.3904i −0.605259 + 0.507872i −0.893131 0.449796i \(-0.851497\pi\)
0.287872 + 0.957669i \(0.407052\pi\)
\(504\) −0.362929 + 7.72653i −0.0161662 + 0.344167i
\(505\) −11.1887 + 37.9104i −0.497891 + 1.68699i
\(506\) −7.68791 13.3159i −0.341769 0.591962i
\(507\) −0.309504 4.84475i −0.0137456 0.215163i
\(508\) 1.51857 8.61221i 0.0673755 0.382105i
\(509\) −6.74016 38.2254i −0.298753 1.69431i −0.651547 0.758609i \(-0.725879\pi\)
0.352794 0.935701i \(-0.385232\pi\)
\(510\) −8.41976 5.42363i −0.372833 0.240163i
\(511\) 19.4270 + 16.3012i 0.859399 + 0.721121i
\(512\) 1.00000i 0.0441942i
\(513\) −11.6136 19.4454i −0.512752 0.858537i
\(514\) −7.24869 −0.319726
\(515\) −18.7907 + 37.7820i −0.828015 + 1.66487i
\(516\) −6.51947 + 6.22042i −0.287003 + 0.273839i
\(517\) 25.8870 4.56457i 1.13851 0.200750i
\(518\) −2.82182 + 16.0033i −0.123984 + 0.703146i
\(519\) 14.7429 0.941842i 0.647141 0.0413423i
\(520\) −4.92029 5.17462i −0.215769 0.226922i
\(521\) 10.3124 17.8616i 0.451794 0.782530i −0.546703 0.837326i \(-0.684118\pi\)
0.998498 + 0.0547960i \(0.0174508\pi\)
\(522\) 2.24966 + 0.105671i 0.0984649 + 0.00462508i
\(523\) 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
\(525\) 22.0400 + 3.58195i 0.961904 + 0.156329i
\(526\) 5.52575 15.1819i 0.240934 0.661961i
\(527\) 21.9880 + 3.87708i 0.957814 + 0.168888i
\(528\) −2.91746 4.38194i −0.126966 0.190699i
\(529\) −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
\(534\) 21.7449 + 6.37706i 0.940995 + 0.275962i
\(535\) 9.09228 6.03102i 0.393094 0.260744i
\(536\) 12.1210 2.13726i 0.523547 0.0923155i
\(537\) 31.0977 7.55513i 1.34196 0.326028i
\(538\) −4.11613 + 11.3090i −0.177459 + 0.487565i
\(539\) −0.926833 + 0.535107i −0.0399215 + 0.0230487i
\(540\) −9.46186 6.74339i −0.407174 0.290189i
\(541\) −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
\(543\) −0.420717 + 3.78376i −0.0180547 + 0.162377i
\(544\) −2.23951 + 1.29298i −0.0960182 + 0.0554361i
\(545\) −20.9834 2.36968i −0.898828 0.101506i
\(546\) −13.8576 + 3.36669i −0.593053 + 0.144081i
\(547\) 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
\(549\) 30.2462 3.88037i 1.29088 0.165610i
\(550\) −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
\(555\) −17.9137 16.5812i −0.760393 0.703832i
\(556\) 0.668550 3.79154i 0.0283528 0.160797i
\(557\) −7.80737 2.84165i −0.330809 0.120405i 0.171276 0.985223i \(-0.445211\pi\)
−0.502085 + 0.864819i \(0.667433\pi\)
\(558\) 25.2694 + 5.68975i 1.06974 + 0.240866i
\(559\) −14.3873 8.30653i −0.608519 0.351329i
\(560\) 3.42477 4.63792i 0.144723 0.195988i
\(561\) 6.04118 12.1995i 0.255059 0.515061i
\(562\) −13.8711 8.00848i −0.585117 0.337817i
\(563\) 13.7591 7.94379i 0.579875 0.334791i −0.181209 0.983445i \(-0.558001\pi\)
0.761084 + 0.648654i \(0.224668\pi\)
\(564\) −0.955038 14.9495i −0.0402144 0.629485i
\(565\) −2.09453 33.6968i −0.0881173 1.41763i
\(566\) −3.28382 18.6234i −0.138029 0.782802i
\(567\) −21.0953 + 9.66772i −0.885921 + 0.406006i
\(568\) −2.93479 + 3.49754i −0.123141 + 0.146754i
\(569\) −35.5477 −1.49024 −0.745119 0.666932i \(-0.767607\pi\)
−0.745119 + 0.666932i \(0.767607\pi\)
\(570\) −0.856041 + 16.8602i −0.0358556 + 0.706197i
\(571\) −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
\(573\) −2.24206 + 2.13922i −0.0936633 + 0.0893670i
\(574\) −0.116159 0.658772i −0.00484840 0.0274966i
\(575\) 7.44338 + 24.1746i 0.310410 + 1.00815i
\(576\) −2.66559 + 1.37645i −0.111066 + 0.0573519i
\(577\) −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
\(579\) −4.99920 2.47561i −0.207759 0.102883i
\(580\) −1.35038 0.997158i −0.0560715 0.0414047i
\(581\) 0.841881 + 0.486060i 0.0349271 + 0.0201652i
\(582\) 3.17166 + 2.33362i 0.131470 + 0.0967318i
\(583\) 12.5659 + 4.57361i 0.520427 + 0.189420i
\(584\) −1.70797 + 9.68637i −0.0706762 + 0.400825i
\(585\) 7.02092 20.2381i 0.290279 0.836742i
\(586\) 4.58656 1.66937i 0.189469 0.0689610i
\(587\) 22.3590 + 18.7615i 0.922857 + 0.774369i 0.974521 0.224296i \(-0.0720082\pi\)
−0.0516644 + 0.998665i \(0.516453\pi\)
\(588\) 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
\(591\) −1.56547 + 5.33803i −0.0643947 + 0.219577i
\(592\) −5.92247 + 2.15560i −0.243412 + 0.0885948i
\(593\) 4.43465 + 25.1502i 0.182109 + 1.03279i 0.929613 + 0.368536i \(0.120141\pi\)
−0.747504 + 0.664257i \(0.768748\pi\)
\(594\) 7.66475 13.8083i 0.314489 0.566560i
\(595\) 14.8148 + 1.67306i 0.607350 + 0.0685887i
\(596\) −7.50382 + 4.33233i −0.307368 + 0.177459i
\(597\) −5.69788 0.633547i −0.233199 0.0259293i
\(598\) −10.3840 12.3752i −0.424634 0.506059i
\(599\) 25.1675 21.1180i 1.02831 0.862858i 0.0376649 0.999290i \(-0.488008\pi\)
0.990649 + 0.136432i \(0.0435636\pi\)
\(600\) 3.07093 + 8.09749i 0.125370 + 0.330579i
\(601\) −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
\(603\) 22.3810 + 29.3678i 0.911423 + 1.19595i
\(604\) −20.5493 + 3.62340i −0.836141 + 0.147434i
\(605\) 2.17828 + 3.28395i 0.0885599 + 0.133512i
\(606\) −8.61622 + 29.3801i −0.350010 + 1.19349i
\(607\) 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
\(612\) −6.52913 4.18991i −0.263924 0.169367i
\(613\) 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
\(615\) 0.926388 + 0.389186i 0.0373556 + 0.0156935i
\(616\) 6.78661 + 3.91825i 0.273440 + 0.157871i
\(617\) −15.1487 + 12.7112i −0.609862 + 0.511735i −0.894599 0.446871i \(-0.852538\pi\)
0.284736 + 0.958606i \(0.408094\pi\)
\(618\) −14.5048 + 29.2908i −0.583470 + 1.17825i
\(619\) 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
\(621\) −20.4189 16.5550i −0.819384 0.664329i
\(622\) −4.34687 + 24.6523i −0.174294 + 0.988469i
\(623\) −33.2205 + 5.85767i −1.33095 + 0.234683i
\(624\) −3.81813 4.00168i −0.152847 0.160195i
\(625\) 24.2332 6.14422i 0.969329 0.245769i
\(626\) 0.699529 0.0279588
\(627\) −22.9029 + 1.41549i −0.914654 + 0.0565293i
\(628\) 12.2643i 0.489399i
\(629\) −12.4851 10.4763i −0.497815 0.417717i
\(630\) 17.0768 + 2.74520i 0.680358 + 0.109371i
\(631\) 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
\(633\) −4.44062 + 0.283687i −0.176499 + 0.0112755i
\(634\) −7.75372 13.4298i −0.307940 0.533367i
\(635\) −18.7548 5.53520i −0.744262 0.219658i
\(636\) 3.38178 6.82911i 0.134096 0.270792i
\(637\) −0.861358 + 0.722766i −0.0341283 + 0.0286370i
\(638\) 1.14084 1.97599i 0.0451663 0.0782304i
\(639\) −13.3626 3.00877i −0.528616 0.119025i
\(640\) 2.22194 + 0.250927i 0.0878301 + 0.00991875i
\(641\) −4.47239 + 25.3642i −0.176649 + 1.00182i 0.759575 + 0.650420i \(0.225407\pi\)
−0.936224 + 0.351405i \(0.885704\pi\)
\(642\) 7.03481 4.68372i 0.277642 0.184852i
\(643\) 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
\(645\) 12.1855 + 16.0468i 0.479804 + 0.631841i
\(646\) −0.0233587 + 11.2719i −0.000919037 + 0.443488i
\(647\) −15.5424 −0.611035 −0.305518 0.952186i \(-0.598830\pi\)
−0.305518 + 0.952186i \(0.598830\pi\)
\(648\) −7.33809 5.21079i −0.288268 0.204699i
\(649\) −4.21226 11.5731i −0.165346 0.454283i
\(650\) −12.7323 + 9.63416i −0.499404 + 0.377883i
\(651\) −37.4681 + 9.10281i −1.46849 + 0.356767i
\(652\) −5.05251 + 13.8817i −0.197872 + 0.543648i
\(653\) 6.62802 + 11.4801i 0.259375 + 0.449250i 0.966075 0.258263i \(-0.0831503\pi\)
−0.706700 + 0.707513i \(0.749817\pi\)
\(654\) −16.2568 1.80759i −0.635690 0.0706824i
\(655\) −9.73948 + 13.1895i −0.380553 + 0.515356i
\(656\) 0.198745 0.166767i 0.00775969 0.00651115i
\(657\) −28.1709 + 8.78001i −1.09905 + 0.342541i
\(658\) 11.1496 + 19.3117i 0.434658 + 0.752850i
\(659\) 31.9611 + 11.6329i 1.24503 + 0.453153i 0.878719 0.477340i \(-0.158399\pi\)
0.366309 + 0.930493i \(0.380621\pi\)
\(660\) −10.4685 + 5.38289i −0.407486 + 0.209529i
\(661\) 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
\(663\) 4.02504 13.7248i 0.156320 0.533029i
\(664\) 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
\(669\) 21.7107 14.4548i 0.839384 0.558855i
\(670\) −1.70739 27.4685i −0.0659620 1.06120i
\(671\) 10.5664 29.0310i 0.407912 1.12073i
\(672\) 2.64663 3.59708i 0.102096 0.138760i
\(673\) 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
\(675\) −17.3577 + 19.3316i −0.668097 + 0.744074i
\(676\) −1.40141 + 2.42731i −0.0539003 + 0.0933581i
\(677\) 40.5615 23.4182i 1.55891 0.900035i 0.561545 0.827447i \(-0.310207\pi\)
0.997362 0.0725886i \(-0.0231260\pi\)
\(678\) −1.66729 26.0986i −0.0640321 1.00231i
\(679\) −5.77260 1.01787i −0.221532 0.0390621i
\(680\) 2.31098 + 5.30051i 0.0886221 + 0.203265i
\(681\) 15.0990 14.4064i 0.578594 0.552054i
\(682\) 16.8679 20.1024i 0.645905 0.769759i
\(683\) 33.4053i 1.27822i −0.769116 0.639110i \(-0.779303\pi\)
0.769116 0.639110i \(-0.220697\pi\)
\(684\) −0.640628 + 13.0610i −0.0244950 + 0.499400i
\(685\) 7.14984 + 29.6517i 0.273181 + 1.13293i
\(686\) −14.5214 12.1849i −0.554429 0.465221i
\(687\) −17.0706 17.8912i −0.651282 0.682592i
\(688\) 5.12343 0.903399i 0.195329 0.0344418i
\(689\) 13.8363 + 2.43970i 0.527119 + 0.0929453i
\(690\) 5.79781 + 18.7156i 0.220719 + 0.712492i
\(691\) 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
\(693\) −1.10307 + 23.4836i −0.0419021 + 0.892069i
\(694\) 16.6305 + 19.8195i 0.631286 + 0.752337i
\(695\) −8.25682 2.43688i −0.313199 0.0924361i
\(696\) −1.04733 0.770596i −0.0396988 0.0292093i
\(697\) 0.630450 + 0.229465i 0.0238800 + 0.00869160i
\(698\) −5.07703 0.895217i −0.192168 0.0338845i
\(699\) 6.69267 4.45592i 0.253140 0.168538i
\(700\) −9.44584 8.77343i −0.357019 0.331605i
\(701\) −5.16255 + 6.15249i −0.194987 + 0.232376i −0.854675 0.519163i \(-0.826244\pi\)
0.659688 + 0.751539i \(0.270688\pi\)
\(702\) 5.41142 15.6857i 0.204241 0.592018i
\(703\) −4.82656 + 27.0449i −0.182037 + 1.02002i
\(704\) 3.03935i 0.114550i
\(705\) −33.4565 1.62918i −1.26004 0.0613584i
\(706\) 5.85564 + 16.0882i 0.220380 + 0.605489i
\(707\) −7.91446 44.8851i −0.297654 1.68808i
\(708\) −6.82009 + 1.65693i −0.256315 + 0.0622712i
\(709\) 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
\(711\) −47.4920 + 14.8018i −1.78109 + 0.555112i
\(712\) −8.40970 10.0223i −0.315167 0.375601i
\(713\) −28.0761 33.4598i −1.05146 1.25308i
\(714\) 11.4777 + 1.27621i 0.429544 + 0.0477610i
\(715\) −14.9545 15.7275i −0.559266 0.588174i
\(716\) −17.3623 6.31934i −0.648858 0.236165i
\(717\) 9.03836 + 37.2029i 0.337544 + 1.38937i
\(718\) −4.08818 23.1852i −0.152569 0.865264i
\(719\) 8.72890 + 23.9825i 0.325533 + 0.894395i 0.989227 + 0.146390i \(0.0467656\pi\)
−0.663694 + 0.748004i \(0.731012\pi\)
\(720\) 2.38952 + 6.26819i 0.0890520 + 0.233602i
\(721\) 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
\(726\) 1.69166 + 2.54083i 0.0627835 + 0.0942991i
\(727\) 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
\(729\) 3.78937 26.7328i 0.140347 0.990102i
\(730\) 21.0940 + 6.22558i 0.780724 + 0.230419i
\(731\) 8.64768 + 10.3059i 0.319846 + 0.381178i
\(732\) −15.7773 7.81292i −0.583145 0.288774i
\(733\) −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
\(735\) 1.30268 0.403549i 0.0480500 0.0148851i
\(736\) 4.98206 + 0.878472i 0.183641 + 0.0323809i
\(737\) 36.8400 6.49588i 1.35702 0.239279i
\(738\) 0.718094 + 0.300228i 0.0264334 + 0.0110515i
\(739\) −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
\(741\) −23.4392 + 5.64309i −0.861060 + 0.207304i
\(742\) 11.3441i 0.416454i
\(743\) −12.7757 + 15.2255i −0.468696 + 0.558570i −0.947667 0.319261i \(-0.896565\pi\)
0.478971 + 0.877831i \(0.341010\pi\)
\(744\) −10.3234 10.8197i −0.378474 0.396669i
\(745\) 7.74329 + 17.7602i 0.283692 + 0.650682i
\(746\) 11.5993 + 2.04527i 0.424681 + 0.0748827i
\(747\) −1.00502 + 0.518964i −0.0367716 + 0.0189879i
\(748\) −6.80666 + 3.92983i −0.248876 + 0.143689i
\(749\) −6.29040 + 10.8953i −0.229846 + 0.398105i
\(750\) 18.7628 4.79156i 0.685119 0.174963i
\(751\) 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
\(753\) −32.3115 23.7739i −1.17750 0.866370i
\(754\) 0.819909 2.25268i 0.0298593 0.0820379i
\(755\) 2.89462 + 46.5687i 0.105346 + 1.69481i
\(756\) 13.2313 + 2.10367i 0.481218 + 0.0765099i
\(757\) −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 \(0.420085\pi\)
−0.248430 + 0.968650i \(0.579915\pi\)
\(762\) −14.5348 4.26256i −0.526539 0.154416i
\(763\) 22.8807 8.32789i 0.828337 0.301490i
\(764\) 1.76196 0.310681i 0.0637454 0.0112400i
\(765\) −10.9481 + 13.4560i −0.395829 + 0.486503i
\(766\) −19.6574 7.15469i −0.710249 0.258510i
\(767\) −6.46983 11.2061i −0.233612 0.404628i
\(768\) 1.72144 + 0.191407i 0.0621172 + 0.00690681i
\(769\) 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
\(771\) −1.38745 + 12.4782i −0.0499678 + 0.449392i
\(772\) 1.61040 + 2.78929i 0.0579595 + 0.100389i
\(773\) 7.47640 20.5413i 0.268908 0.738817i −0.729583 0.683892i \(-0.760286\pi\)
0.998490 0.0549251i \(-0.0174920\pi\)