Properties

Label 570.2.bi.a.47.14
Level $570$
Weight $2$
Character 570.47
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 47.14
Character \(\chi\) \(=\) 570.47
Dual form 570.2.bi.a.473.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.819152 - 0.573576i) q^{2} +(1.27781 + 1.16927i) q^{3} +(0.342020 + 0.939693i) q^{4} +(-1.35963 + 1.77522i) q^{5} +(-0.376053 - 1.69073i) q^{6} +(0.943230 - 0.252738i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.265597 + 2.98822i) q^{9} +O(q^{10})\) \(q+(-0.819152 - 0.573576i) q^{2} +(1.27781 + 1.16927i) q^{3} +(0.342020 + 0.939693i) q^{4} +(-1.35963 + 1.77522i) q^{5} +(-0.376053 - 1.69073i) q^{6} +(0.943230 - 0.252738i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.265597 + 2.98822i) q^{9} +(2.13197 - 0.674323i) q^{10} +(-4.69691 + 2.71176i) q^{11} +(-0.661721 + 1.60066i) q^{12} +(-3.15296 + 0.275849i) q^{13} +(-0.917613 - 0.333984i) q^{14} +(-3.81307 + 0.678613i) q^{15} +(-0.766044 + 0.642788i) q^{16} +(0.681681 + 0.477318i) q^{17} +(1.49641 - 2.60015i) q^{18} +(4.08584 - 1.51853i) q^{19} +(-2.13318 - 0.670474i) q^{20} +(1.50079 + 0.779943i) q^{21} +(5.40289 + 0.472691i) q^{22} +(-4.11888 - 1.92067i) q^{23} +(1.46015 - 0.931639i) q^{24} +(-1.30281 - 4.82729i) q^{25} +(2.74098 + 1.58250i) q^{26} +(-3.15466 + 4.12893i) q^{27} +(0.560099 + 0.799904i) q^{28} +(-0.154429 + 0.875809i) q^{29} +(3.51272 + 1.63120i) q^{30} +(-2.15711 + 3.73622i) q^{31} +(0.996195 - 0.0871557i) q^{32} +(-9.17255 - 2.02686i) q^{33} +(-0.284622 - 0.781993i) q^{34} +(-0.833779 + 2.01807i) q^{35} +(-2.71717 + 1.27161i) q^{36} +(6.54753 + 6.54753i) q^{37} +(-4.21791 - 1.09964i) q^{38} +(-4.35143 - 3.33420i) q^{39} +(1.36283 + 1.77276i) q^{40} +(-7.34143 - 8.74918i) q^{41} +(-0.782016 - 1.49971i) q^{42} +(-1.85014 + 0.862733i) q^{43} +(-4.15466 - 3.48617i) q^{44} +(-5.66586 - 3.59138i) q^{45} +(2.27234 + 3.93581i) q^{46} +(4.36168 + 6.22912i) q^{47} +(-1.73045 - 0.0743552i) q^{48} +(-5.23637 + 3.02322i) q^{49} +(-1.70162 + 4.70154i) q^{50} +(0.312943 + 1.40699i) q^{51} +(-1.33759 - 2.86847i) q^{52} +(11.1647 + 5.20619i) q^{53} +(4.95241 - 1.57278i) q^{54} +(1.57209 - 12.0250i) q^{55} -0.976503i q^{56} +(6.99650 + 2.83708i) q^{57} +(0.628844 - 0.628844i) q^{58} +(0.414295 + 2.34958i) q^{59} +(-1.94183 - 3.35101i) q^{60} +(-2.34544 + 0.853669i) q^{61} +(3.91001 - 1.82327i) q^{62} +(1.00575 + 2.75145i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(3.79717 - 5.97225i) q^{65} +(6.35116 + 6.92146i) q^{66} +(9.15037 - 6.40716i) q^{67} +(-0.215384 + 0.803823i) q^{68} +(-3.01737 - 7.27035i) q^{69} +(1.84051 - 1.17487i) q^{70} +(-5.27765 + 14.5002i) q^{71} +(2.95514 + 0.516861i) q^{72} +(-0.359117 + 4.10473i) q^{73} +(-1.60791 - 9.11893i) q^{74} +(3.97968 - 7.69170i) q^{75} +(2.82439 + 3.32007i) q^{76} +(-3.74490 + 3.74490i) q^{77} +(1.65207 + 5.22709i) q^{78} +(2.85709 + 3.40495i) q^{79} +(-0.0995518 - 2.23385i) q^{80} +(-8.85892 + 1.58733i) q^{81} +(0.995427 + 11.3778i) q^{82} +(8.66776 - 2.32252i) q^{83} +(-0.219607 + 1.67704i) q^{84} +(-1.77418 + 0.561157i) q^{85} +(2.01039 + 0.354485i) q^{86} +(-1.22139 + 0.938548i) q^{87} +(1.40371 + 5.23872i) q^{88} +(9.51138 + 7.98099i) q^{89} +(2.58127 + 6.19169i) q^{90} +(-2.90425 + 1.05706i) q^{91} +(0.396095 - 4.52739i) q^{92} +(-7.12504 + 2.25193i) q^{93} -7.60435i q^{94} +(-2.85952 + 9.31790i) q^{95} +(1.37486 + 1.05346i) q^{96} +(-2.90803 + 4.15309i) q^{97} +(6.02343 + 0.526982i) q^{98} +(-9.35083 - 13.3152i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.819152 0.573576i −0.579228 0.405580i
\(3\) 1.27781 + 1.16927i 0.737744 + 0.675081i
\(4\) 0.342020 + 0.939693i 0.171010 + 0.469846i
\(5\) −1.35963 + 1.77522i −0.608045 + 0.793902i
\(6\) −0.376053 1.69073i −0.153523 0.690240i
\(7\) 0.943230 0.252738i 0.356507 0.0955258i −0.0761201 0.997099i \(-0.524253\pi\)
0.432627 + 0.901573i \(0.357587\pi\)
\(8\) 0.258819 0.965926i 0.0915064 0.341506i
\(9\) 0.265597 + 2.98822i 0.0885325 + 0.996073i
\(10\) 2.13197 0.674323i 0.674188 0.213240i
\(11\) −4.69691 + 2.71176i −1.41617 + 0.817627i −0.995960 0.0897990i \(-0.971378\pi\)
−0.420212 + 0.907426i \(0.638044\pi\)
\(12\) −0.661721 + 1.60066i −0.191022 + 0.462072i
\(13\) −3.15296 + 0.275849i −0.874475 + 0.0765066i −0.515550 0.856860i \(-0.672412\pi\)
−0.358925 + 0.933366i \(0.616857\pi\)
\(14\) −0.917613 0.333984i −0.245242 0.0892609i
\(15\) −3.81307 + 0.678613i −0.984530 + 0.175217i
\(16\) −0.766044 + 0.642788i −0.191511 + 0.160697i
\(17\) 0.681681 + 0.477318i 0.165332 + 0.115767i 0.653314 0.757087i \(-0.273378\pi\)
−0.487982 + 0.872854i \(0.662267\pi\)
\(18\) 1.49641 2.60015i 0.352707 0.612860i
\(19\) 4.08584 1.51853i 0.937356 0.348374i
\(20\) −2.13318 0.670474i −0.476994 0.149923i
\(21\) 1.50079 + 0.779943i 0.327499 + 0.170198i
\(22\) 5.40289 + 0.472691i 1.15190 + 0.100778i
\(23\) −4.11888 1.92067i −0.858847 0.400487i −0.0572557 0.998360i \(-0.518235\pi\)
−0.801591 + 0.597873i \(0.796013\pi\)
\(24\) 1.46015 0.931639i 0.298053 0.190170i
\(25\) −1.30281 4.82729i −0.260562 0.965457i
\(26\) 2.74098 + 1.58250i 0.537550 + 0.310354i
\(27\) −3.15466 + 4.12893i −0.607115 + 0.794614i
\(28\) 0.560099 + 0.799904i 0.105849 + 0.151168i
\(29\) −0.154429 + 0.875809i −0.0286767 + 0.162634i −0.995783 0.0917384i \(-0.970758\pi\)
0.967106 + 0.254372i \(0.0818688\pi\)
\(30\) 3.51272 + 1.63120i 0.641332 + 0.297815i
\(31\) −2.15711 + 3.73622i −0.387428 + 0.671045i −0.992103 0.125428i \(-0.959970\pi\)
0.604675 + 0.796472i \(0.293303\pi\)
\(32\) 0.996195 0.0871557i 0.176104 0.0154071i
\(33\) −9.17255 2.02686i −1.59674 0.352830i
\(34\) −0.284622 0.781993i −0.0488123 0.134111i
\(35\) −0.833779 + 2.01807i −0.140934 + 0.341116i
\(36\) −2.71717 + 1.27161i −0.452861 + 0.211935i
\(37\) 6.54753 + 6.54753i 1.07641 + 1.07641i 0.996829 + 0.0795791i \(0.0253576\pi\)
0.0795791 + 0.996829i \(0.474642\pi\)
\(38\) −4.21791 1.09964i −0.684236 0.178385i
\(39\) −4.35143 3.33420i −0.696787 0.533898i
\(40\) 1.36283 + 1.77276i 0.215483 + 0.280298i
\(41\) −7.34143 8.74918i −1.14654 1.36639i −0.919777 0.392442i \(-0.871630\pi\)
−0.226763 0.973950i \(-0.572814\pi\)
\(42\) −0.782016 1.49971i −0.120668 0.231410i
\(43\) −1.85014 + 0.862733i −0.282143 + 0.131566i −0.558539 0.829478i \(-0.688638\pi\)
0.276396 + 0.961044i \(0.410860\pi\)
\(44\) −4.15466 3.48617i −0.626339 0.525561i
\(45\) −5.66586 3.59138i −0.844617 0.535372i
\(46\) 2.27234 + 3.93581i 0.335039 + 0.580304i
\(47\) 4.36168 + 6.22912i 0.636216 + 0.908611i 0.999736 0.0229757i \(-0.00731403\pi\)
−0.363520 + 0.931586i \(0.618425\pi\)
\(48\) −1.73045 0.0743552i −0.249770 0.0107323i
\(49\) −5.23637 + 3.02322i −0.748053 + 0.431889i
\(50\) −1.70162 + 4.70154i −0.240645 + 0.664898i
\(51\) 0.312943 + 1.40699i 0.0438208 + 0.197019i
\(52\) −1.33759 2.86847i −0.185490 0.397785i
\(53\) 11.1647 + 5.20619i 1.53359 + 0.715125i 0.992085 0.125571i \(-0.0400764\pi\)
0.541506 + 0.840697i \(0.317854\pi\)
\(54\) 4.95241 1.57278i 0.673937 0.214029i
\(55\) 1.57209 12.0250i 0.211980 1.62146i
\(56\) 0.976503i 0.130491i
\(57\) 6.99650 + 2.83708i 0.926709 + 0.375780i
\(58\) 0.628844 0.628844i 0.0825713 0.0825713i
\(59\) 0.414295 + 2.34958i 0.0539366 + 0.305890i 0.999827 0.0185964i \(-0.00591977\pi\)
−0.945890 + 0.324486i \(0.894809\pi\)
\(60\) −1.94183 3.35101i −0.250690 0.432614i
\(61\) −2.34544 + 0.853669i −0.300302 + 0.109301i −0.487777 0.872968i \(-0.662192\pi\)
0.187474 + 0.982269i \(0.439970\pi\)
\(62\) 3.91001 1.82327i 0.496571 0.231555i
\(63\) 1.00575 + 2.75145i 0.126713 + 0.346650i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) 3.79717 5.97225i 0.470981 0.740767i
\(66\) 6.35116 + 6.92146i 0.781773 + 0.851973i
\(67\) 9.15037 6.40716i 1.11790 0.782759i 0.139649 0.990201i \(-0.455403\pi\)
0.978247 + 0.207442i \(0.0665138\pi\)
\(68\) −0.215384 + 0.803823i −0.0261191 + 0.0974779i
\(69\) −3.01737 7.27035i −0.363248 0.875247i
\(70\) 1.84051 1.17487i 0.219983 0.140424i
\(71\) −5.27765 + 14.5002i −0.626342 + 1.72086i 0.0645603 + 0.997914i \(0.479436\pi\)
−0.690903 + 0.722948i \(0.742787\pi\)
\(72\) 2.95514 + 0.516861i 0.348267 + 0.0609126i
\(73\) −0.359117 + 4.10473i −0.0420315 + 0.480422i 0.945784 + 0.324795i \(0.105295\pi\)
−0.987816 + 0.155627i \(0.950260\pi\)
\(74\) −1.60791 9.11893i −0.186916 1.06005i
\(75\) 3.97968 7.69170i 0.459533 0.888161i
\(76\) 2.82439 + 3.32007i 0.323979 + 0.380838i
\(77\) −3.74490 + 3.74490i −0.426771 + 0.426771i
\(78\) 1.65207 + 5.22709i 0.187060 + 0.591851i
\(79\) 2.85709 + 3.40495i 0.321448 + 0.383087i 0.902435 0.430826i \(-0.141778\pi\)
−0.580987 + 0.813913i \(0.697333\pi\)
\(80\) −0.0995518 2.23385i −0.0111302 0.249752i
\(81\) −8.85892 + 1.58733i −0.984324 + 0.176370i
\(82\) 0.995427 + 11.3778i 0.109927 + 1.25647i
\(83\) 8.66776 2.32252i 0.951411 0.254930i 0.250450 0.968130i \(-0.419421\pi\)
0.700961 + 0.713200i \(0.252755\pi\)
\(84\) −0.219607 + 1.67704i −0.0239611 + 0.182980i
\(85\) −1.77418 + 0.561157i −0.192437 + 0.0608661i
\(86\) 2.01039 + 0.354485i 0.216786 + 0.0382251i
\(87\) −1.22139 + 0.938548i −0.130947 + 0.100623i
\(88\) 1.40371 + 5.23872i 0.149636 + 0.558450i
\(89\) 9.51138 + 7.98099i 1.00820 + 0.845983i 0.988100 0.153814i \(-0.0491558\pi\)
0.0201041 + 0.999798i \(0.493600\pi\)
\(90\) 2.58127 + 6.19169i 0.272090 + 0.652662i
\(91\) −2.90425 + 1.05706i −0.304448 + 0.110810i
\(92\) 0.396095 4.52739i 0.0412958 0.472013i
\(93\) −7.12504 + 2.25193i −0.738832 + 0.233514i
\(94\) 7.60435i 0.784329i
\(95\) −2.85952 + 9.31790i −0.293380 + 0.955996i
\(96\) 1.37486 + 1.05346i 0.140321 + 0.107518i
\(97\) −2.90803 + 4.15309i −0.295265 + 0.421683i −0.939186 0.343410i \(-0.888418\pi\)
0.643920 + 0.765093i \(0.277307\pi\)
\(98\) 6.02343 + 0.526982i 0.608459 + 0.0532332i
\(99\) −9.35083 13.3152i −0.939794 1.33822i
\(100\) 4.09058 2.87527i 0.409058 0.287527i
\(101\) 1.20001 1.43012i 0.119406 0.142302i −0.703030 0.711160i \(-0.748170\pi\)
0.822436 + 0.568858i \(0.192615\pi\)
\(102\) 0.550671 1.33204i 0.0545245 0.131892i
\(103\) 1.02540 + 0.274756i 0.101036 + 0.0270725i 0.308983 0.951068i \(-0.400011\pi\)
−0.207947 + 0.978140i \(0.566678\pi\)
\(104\) −0.549598 + 3.11692i −0.0538925 + 0.305639i
\(105\) −3.42509 + 1.60379i −0.334254 + 0.156514i
\(106\) −6.15945 10.6685i −0.598258 1.03621i
\(107\) −4.31802 16.1151i −0.417439 1.55790i −0.779901 0.625903i \(-0.784730\pi\)
0.362462 0.931999i \(-0.381936\pi\)
\(108\) −4.95889 1.55224i −0.477169 0.149364i
\(109\) 0.548567 1.50718i 0.0525432 0.144361i −0.910645 0.413190i \(-0.864414\pi\)
0.963188 + 0.268829i \(0.0866367\pi\)
\(110\) −8.18506 + 8.94862i −0.780415 + 0.853218i
\(111\) 0.710645 + 16.0224i 0.0674514 + 1.52078i
\(112\) −0.560099 + 0.799904i −0.0529244 + 0.0755839i
\(113\) 9.37756 + 9.37756i 0.882167 + 0.882167i 0.993755 0.111588i \(-0.0355937\pi\)
−0.111588 + 0.993755i \(0.535594\pi\)
\(114\) −4.10392 6.33702i −0.384367 0.593517i
\(115\) 9.00977 4.70053i 0.840165 0.438326i
\(116\) −0.875809 + 0.154429i −0.0813168 + 0.0143383i
\(117\) −1.66171 9.34848i −0.153626 0.864267i
\(118\) 1.00829 2.16230i 0.0928211 0.199055i
\(119\) 0.763618 + 0.277934i 0.0700008 + 0.0254782i
\(120\) −0.331404 + 3.85878i −0.0302530 + 0.352257i
\(121\) 9.20731 15.9475i 0.837028 1.44978i
\(122\) 2.41091 + 0.646003i 0.218274 + 0.0584863i
\(123\) 0.849229 19.7639i 0.0765724 1.78205i
\(124\) −4.24867 0.749156i −0.381542 0.0672762i
\(125\) 10.3408 + 4.25055i 0.924912 + 0.380181i
\(126\) 0.754301 2.83073i 0.0671985 0.252182i
\(127\) −0.388188 4.43701i −0.0344461 0.393721i −0.993773 0.111423i \(-0.964459\pi\)
0.959327 0.282297i \(-0.0910965\pi\)
\(128\) 0.422618 + 0.906308i 0.0373545 + 0.0801070i
\(129\) −3.37289 1.06091i −0.296967 0.0934077i
\(130\) −6.53601 + 2.71421i −0.573246 + 0.238052i
\(131\) 0.165185 0.0291266i 0.0144323 0.00254481i −0.166427 0.986054i \(-0.553223\pi\)
0.180860 + 0.983509i \(0.442112\pi\)
\(132\) −1.23258 9.31260i −0.107282 0.810558i
\(133\) 3.47010 2.46496i 0.300895 0.213739i
\(134\) −11.1705 −0.964988
\(135\) −3.04059 11.2140i −0.261692 0.965151i
\(136\) 0.637486 0.534914i 0.0546640 0.0458685i
\(137\) 5.26423 11.2892i 0.449753 0.964499i −0.542475 0.840072i \(-0.682513\pi\)
0.992229 0.124428i \(-0.0397094\pi\)
\(138\) −1.69842 + 7.68621i −0.144579 + 0.654294i
\(139\) 8.45969 10.0819i 0.717542 0.855133i −0.276848 0.960914i \(-0.589290\pi\)
0.994389 + 0.105781i \(0.0337342\pi\)
\(140\) −2.18153 0.0932756i −0.184373 0.00788322i
\(141\) −1.71015 + 13.0596i −0.144021 + 1.09982i
\(142\) 12.6402 8.85076i 1.06074 0.742739i
\(143\) 14.0611 9.84572i 1.17585 0.823341i
\(144\) −2.12425 2.11839i −0.177021 0.176532i
\(145\) −1.34479 1.46492i −0.111679 0.121655i
\(146\) 2.64855 3.15641i 0.219195 0.261227i
\(147\) −10.2261 2.25965i −0.843431 0.186373i
\(148\) −3.91328 + 8.39206i −0.321670 + 0.689823i
\(149\) 8.34480 7.00212i 0.683633 0.573636i −0.233433 0.972373i \(-0.574996\pi\)
0.917065 + 0.398737i \(0.130551\pi\)
\(150\) −7.67173 + 4.01802i −0.626395 + 0.328070i
\(151\) −21.3819 −1.74003 −0.870016 0.493024i \(-0.835891\pi\)
−0.870016 + 0.493024i \(0.835891\pi\)
\(152\) −0.409290 4.33964i −0.0331978 0.351991i
\(153\) −1.24528 + 2.16379i −0.100675 + 0.174932i
\(154\) 5.21563 0.919656i 0.420287 0.0741080i
\(155\) −3.69974 8.90922i −0.297170 0.715606i
\(156\) 1.64484 5.22937i 0.131693 0.418685i
\(157\) 6.18477 + 13.2633i 0.493598 + 1.05852i 0.982513 + 0.186193i \(0.0596150\pi\)
−0.488915 + 0.872331i \(0.662607\pi\)
\(158\) −0.387394 4.42793i −0.0308194 0.352267i
\(159\) 8.17892 + 19.7071i 0.648630 + 1.56288i
\(160\) −1.19974 + 1.88696i −0.0948475 + 0.149178i
\(161\) −4.37048 0.770633i −0.344442 0.0607344i
\(162\) 8.16725 + 3.78100i 0.641680 + 0.297064i
\(163\) 17.2895 + 4.63271i 1.35422 + 0.362862i 0.861690 0.507434i \(-0.169406\pi\)
0.492529 + 0.870296i \(0.336073\pi\)
\(164\) 5.71062 9.89109i 0.445925 0.772364i
\(165\) 16.0694 13.5275i 1.25100 1.05312i
\(166\) −8.43236 3.06913i −0.654478 0.238211i
\(167\) 7.23507 15.5157i 0.559866 1.20064i −0.399045 0.916931i \(-0.630658\pi\)
0.958911 0.283706i \(-0.0915640\pi\)
\(168\) 1.14180 1.24779i 0.0880917 0.0962687i
\(169\) −2.93742 + 0.517946i −0.225955 + 0.0398420i
\(170\) 1.77519 + 0.557954i 0.136151 + 0.0427932i
\(171\) 5.62288 + 11.8061i 0.429992 + 0.902833i
\(172\) −1.44349 1.44349i −0.110065 0.110065i
\(173\) 3.32698 4.75142i 0.252946 0.361244i −0.672518 0.740081i \(-0.734787\pi\)
0.925463 + 0.378837i \(0.123676\pi\)
\(174\) 1.53883 0.0682524i 0.116659 0.00517420i
\(175\) −2.44888 4.22397i −0.185118 0.319302i
\(176\) 1.85495 5.09645i 0.139822 0.384159i
\(177\) −2.21792 + 3.48674i −0.166709 + 0.262080i
\(178\) −3.21355 11.9931i −0.240866 0.898924i
\(179\) −3.38097 5.85601i −0.252706 0.437699i 0.711564 0.702621i \(-0.247987\pi\)
−0.964270 + 0.264922i \(0.914654\pi\)
\(180\) 1.43696 6.55249i 0.107104 0.488394i
\(181\) −1.36290 + 7.72937i −0.101303 + 0.574519i 0.891329 + 0.453356i \(0.149773\pi\)
−0.992633 + 0.121163i \(0.961338\pi\)
\(182\) 2.98533 + 0.799916i 0.221287 + 0.0592937i
\(183\) −3.99520 1.65163i −0.295333 0.122092i
\(184\) −2.92127 + 3.48143i −0.215359 + 0.256655i
\(185\) −20.5255 + 2.72108i −1.50907 + 0.200058i
\(186\) 7.12814 + 2.24208i 0.522661 + 0.164397i
\(187\) −4.49617 0.393364i −0.328792 0.0287656i
\(188\) −4.36168 + 6.22912i −0.318108 + 0.454305i
\(189\) −1.93204 + 4.69183i −0.140535 + 0.341281i
\(190\) 7.68690 5.99262i 0.557667 0.434751i
\(191\) 14.8936i 1.07767i −0.842412 0.538833i \(-0.818865\pi\)
0.842412 0.538833i \(-0.181135\pi\)
\(192\) −0.521979 1.65153i −0.0376706 0.119189i
\(193\) −0.277666 + 3.17373i −0.0199868 + 0.228450i 0.979631 + 0.200806i \(0.0643561\pi\)
−0.999618 + 0.0276443i \(0.991199\pi\)
\(194\) 4.76423 1.73404i 0.342052 0.124497i
\(195\) 11.8353 3.19147i 0.847541 0.228546i
\(196\) −4.63184 3.88658i −0.330846 0.277613i
\(197\) 4.68268 + 17.4760i 0.333627 + 1.24511i 0.905350 + 0.424666i \(0.139608\pi\)
−0.571723 + 0.820446i \(0.693725\pi\)
\(198\) 0.0224870 + 16.2706i 0.00159808 + 1.15630i
\(199\) −10.1460 1.78901i −0.719228 0.126819i −0.197957 0.980211i \(-0.563431\pi\)
−0.521271 + 0.853391i \(0.674542\pi\)
\(200\) −4.99999 + 0.00902391i −0.353553 + 0.000638087i
\(201\) 19.1842 + 2.51216i 1.35315 + 0.177194i
\(202\) −1.80328 + 0.483186i −0.126878 + 0.0339969i
\(203\) 0.0756881 + 0.865119i 0.00531226 + 0.0607194i
\(204\) −1.21511 + 0.775291i −0.0850747 + 0.0542812i
\(205\) 25.5134 1.13700i 1.78193 0.0794119i
\(206\) −0.682367 0.813213i −0.0475428 0.0566593i
\(207\) 4.64541 12.8183i 0.322878 0.890930i
\(208\) 2.23800 2.23800i 0.155177 0.155177i
\(209\) −15.0729 + 18.2122i −1.04262 + 1.25976i
\(210\) 3.72557 + 0.650798i 0.257088 + 0.0449094i
\(211\) 0.425310 + 2.41205i 0.0292795 + 0.166053i 0.995941 0.0900037i \(-0.0286879\pi\)
−0.966662 + 0.256056i \(0.917577\pi\)
\(212\) −1.07366 + 12.2720i −0.0737394 + 0.842846i
\(213\) −23.6986 + 12.3575i −1.62380 + 0.846724i
\(214\) −5.70611 + 15.6774i −0.390061 + 1.07169i
\(215\) 0.983962 4.45740i 0.0671056 0.303992i
\(216\) 3.17176 + 4.11582i 0.215811 + 0.280046i
\(217\) −1.09036 + 4.06930i −0.0740188 + 0.276242i
\(218\) −1.31384 + 0.919961i −0.0889845 + 0.0623076i
\(219\) −5.25843 + 4.82515i −0.355332 + 0.326054i
\(220\) 11.8375 2.63553i 0.798086 0.177687i
\(221\) −2.28098 1.31693i −0.153436 0.0885861i
\(222\) 8.60792 13.5324i 0.577726 0.908232i
\(223\) −16.3462 + 7.62237i −1.09462 + 0.510432i −0.884167 0.467171i \(-0.845273\pi\)
−0.210458 + 0.977603i \(0.567495\pi\)
\(224\) 0.917613 0.333984i 0.0613106 0.0223152i
\(225\) 14.0790 5.17520i 0.938598 0.345013i
\(226\) −2.30290 13.0604i −0.153187 0.868765i
\(227\) 0.914162 0.914162i 0.0606751 0.0606751i −0.676118 0.736793i \(-0.736339\pi\)
0.736793 + 0.676118i \(0.236339\pi\)
\(228\) −0.273037 + 7.54490i −0.0180823 + 0.499673i
\(229\) 10.6406i 0.703150i 0.936160 + 0.351575i \(0.114354\pi\)
−0.936160 + 0.351575i \(0.885646\pi\)
\(230\) −10.0765 1.31734i −0.664423 0.0868631i
\(231\) −9.16408 + 0.406458i −0.602952 + 0.0267429i
\(232\) 0.805997 + 0.375843i 0.0529163 + 0.0246753i
\(233\) 0.664336 + 1.42467i 0.0435221 + 0.0933334i 0.926867 0.375391i \(-0.122492\pi\)
−0.883344 + 0.468724i \(0.844714\pi\)
\(234\) −4.00087 + 8.61095i −0.261545 + 0.562915i
\(235\) −16.9883 0.726368i −1.10820 0.0473830i
\(236\) −2.06619 + 1.19291i −0.134497 + 0.0776521i
\(237\) −0.330497 + 7.69160i −0.0214681 + 0.499623i
\(238\) −0.466103 0.665664i −0.0302130 0.0431486i
\(239\) −3.42796 5.93741i −0.221736 0.384059i 0.733599 0.679583i \(-0.237839\pi\)
−0.955335 + 0.295524i \(0.904506\pi\)
\(240\) 2.48478 2.97084i 0.160392 0.191767i
\(241\) −1.69527 1.42250i −0.109202 0.0916313i 0.586552 0.809912i \(-0.300485\pi\)
−0.695754 + 0.718280i \(0.744929\pi\)
\(242\) −16.6893 + 7.78235i −1.07283 + 0.500269i
\(243\) −13.1760 8.33020i −0.845243 0.534382i
\(244\) −1.60437 1.91202i −0.102709 0.122404i
\(245\) 1.75265 13.4062i 0.111973 0.856489i
\(246\) −12.0318 + 15.7026i −0.767118 + 1.00116i
\(247\) −12.4636 + 5.91493i −0.793041 + 0.376358i
\(248\) 3.05061 + 3.05061i 0.193714 + 0.193714i
\(249\) 13.7914 + 7.16725i 0.873996 + 0.454206i
\(250\) −6.03270 9.41311i −0.381541 0.595337i
\(251\) −6.52244 17.9203i −0.411693 1.13112i −0.956290 0.292419i \(-0.905540\pi\)
0.544598 0.838698i \(-0.316682\pi\)
\(252\) −2.24153 + 1.88615i −0.141203 + 0.118816i
\(253\) 24.5544 2.14823i 1.54372 0.135058i
\(254\) −2.22698 + 3.85724i −0.139733 + 0.242025i
\(255\) −2.92321 1.35745i −0.183059 0.0850068i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 12.7929 + 18.2701i 0.797998 + 1.13966i 0.987475 + 0.157774i \(0.0504317\pi\)
−0.189478 + 0.981885i \(0.560679\pi\)
\(258\) 2.15440 + 2.80366i 0.134127 + 0.174548i
\(259\) 7.83063 + 4.52102i 0.486572 + 0.280922i
\(260\) 6.91079 + 1.52554i 0.428589 + 0.0946102i
\(261\) −2.65813 0.228854i −0.164534 0.0141657i
\(262\) −0.152018 0.0708873i −0.00939172 0.00437943i
\(263\) −9.38046 0.820684i −0.578424 0.0506055i −0.205810 0.978592i \(-0.565983\pi\)
−0.372614 + 0.927986i \(0.621538\pi\)
\(264\) −4.33182 + 8.33542i −0.266605 + 0.513009i
\(265\) −24.4220 + 12.7413i −1.50023 + 0.782693i
\(266\) −4.25638 + 0.0288145i −0.260975 + 0.00176673i
\(267\) 2.82177 + 21.3196i 0.172689 + 1.30474i
\(268\) 9.15037 + 6.40716i 0.558948 + 0.391380i
\(269\) 9.11644 7.64961i 0.555839 0.466405i −0.321073 0.947054i \(-0.604044\pi\)
0.876913 + 0.480650i \(0.159599\pi\)
\(270\) −3.94141 + 10.9300i −0.239867 + 0.665180i
\(271\) 21.0937 + 7.67748i 1.28135 + 0.466374i 0.890879 0.454241i \(-0.150089\pi\)
0.390472 + 0.920615i \(0.372312\pi\)
\(272\) −0.829013 + 0.0725292i −0.0502663 + 0.00439773i
\(273\) −4.94707 2.04514i −0.299411 0.123778i
\(274\) −10.7874 + 6.22811i −0.651691 + 0.376254i
\(275\) 19.2096 + 19.1404i 1.15838 + 1.15421i
\(276\) 5.79990 5.32200i 0.349113 0.320347i
\(277\) −0.769861 + 2.87316i −0.0462564 + 0.172631i −0.985190 0.171468i \(-0.945149\pi\)
0.938933 + 0.344099i \(0.111816\pi\)
\(278\) −12.7125 + 3.40630i −0.762445 + 0.204297i
\(279\) −11.7376 5.45358i −0.702710 0.326497i
\(280\) 1.73351 + 1.32768i 0.103597 + 0.0793443i
\(281\) 8.60404 + 23.6394i 0.513274 + 1.41021i 0.877805 + 0.479018i \(0.159007\pi\)
−0.364531 + 0.931191i \(0.618771\pi\)
\(282\) 8.89157 9.71692i 0.529485 0.578634i
\(283\) 3.70130 + 2.59168i 0.220019 + 0.154059i 0.678390 0.734702i \(-0.262678\pi\)
−0.458371 + 0.888761i \(0.651567\pi\)
\(284\) −15.4308 −0.915651
\(285\) −14.5491 + 8.56294i −0.861814 + 0.507225i
\(286\) −17.1655 −1.01502
\(287\) −9.13590 6.39703i −0.539275 0.377605i
\(288\) 0.525027 + 2.95370i 0.0309375 + 0.174048i
\(289\) −5.57749 15.3240i −0.328087 0.901413i
\(290\) 0.261341 + 1.97133i 0.0153465 + 0.115761i
\(291\) −8.57201 + 1.90658i −0.502500 + 0.111766i
\(292\) −3.98001 + 1.06644i −0.232912 + 0.0624086i
\(293\) −7.42990 + 27.7288i −0.434060 + 1.61993i 0.309247 + 0.950982i \(0.399923\pi\)
−0.743307 + 0.668951i \(0.766744\pi\)
\(294\) 7.08062 + 7.71643i 0.412950 + 0.450031i
\(295\) −4.73431 2.45910i −0.275642 0.143174i
\(296\) 8.01906 4.62980i 0.466098 0.269102i
\(297\) 3.62049 27.9479i 0.210082 1.62170i
\(298\) −10.8519 + 0.949419i −0.628634 + 0.0549984i
\(299\) 13.5165 + 4.91960i 0.781680 + 0.284508i
\(300\) 8.58896 + 1.10896i 0.495884 + 0.0640257i
\(301\) −1.52706 + 1.28135i −0.0880182 + 0.0738560i
\(302\) 17.5150 + 12.2641i 1.00787 + 0.705721i
\(303\) 3.20559 0.424278i 0.184156 0.0243741i
\(304\) −2.15384 + 3.78958i −0.123531 + 0.217348i
\(305\) 1.67348 5.32434i 0.0958231 0.304871i
\(306\) 2.26117 1.05821i 0.129263 0.0604938i
\(307\) −14.2406 1.24589i −0.812756 0.0711069i −0.326804 0.945092i \(-0.605972\pi\)
−0.485952 + 0.873985i \(0.661527\pi\)
\(308\) −4.79989 2.23822i −0.273499 0.127535i
\(309\) 0.989005 + 1.55006i 0.0562625 + 0.0881799i
\(310\) −2.07947 + 9.42009i −0.118106 + 0.535025i
\(311\) 0.756960 + 0.437031i 0.0429233 + 0.0247818i 0.521308 0.853369i \(-0.325444\pi\)
−0.478385 + 0.878150i \(0.658778\pi\)
\(312\) −4.34682 + 3.34021i −0.246090 + 0.189102i
\(313\) 1.52587 + 2.17917i 0.0862472 + 0.123174i 0.859957 0.510366i \(-0.170490\pi\)
−0.773710 + 0.633540i \(0.781601\pi\)
\(314\) 2.54124 14.4121i 0.143410 0.813320i
\(315\) −6.25188 1.95552i −0.352254 0.110181i
\(316\) −2.22242 + 3.84935i −0.125021 + 0.216543i
\(317\) 3.33527 0.291798i 0.187327 0.0163890i 0.00689398 0.999976i \(-0.497806\pi\)
0.180433 + 0.983587i \(0.442250\pi\)
\(318\) 4.60377 20.8344i 0.258166 1.16833i
\(319\) −1.64965 4.53237i −0.0923625 0.253764i
\(320\) 2.06508 0.857570i 0.115442 0.0479396i
\(321\) 13.3253 25.6409i 0.743747 1.43114i
\(322\) 3.13807 + 3.13807i 0.174878 + 0.174878i
\(323\) 3.51006 + 0.915096i 0.195305 + 0.0509173i
\(324\) −4.52153 7.78176i −0.251196 0.432320i
\(325\) 5.43931 + 14.8609i 0.301719 + 0.824333i
\(326\) −11.5055 13.7118i −0.637232 0.759424i
\(327\) 2.46327 1.28446i 0.136219 0.0710307i
\(328\) −10.3512 + 4.82683i −0.571547 + 0.266517i
\(329\) 5.68840 + 4.77313i 0.313611 + 0.263151i
\(330\) −20.9223 + 1.86407i −1.15174 + 0.102613i
\(331\) 3.79766 + 6.57774i 0.208738 + 0.361545i 0.951317 0.308213i \(-0.0997310\pi\)
−0.742579 + 0.669758i \(0.766398\pi\)
\(332\) 5.14701 + 7.35069i 0.282479 + 0.403421i
\(333\) −17.8265 + 21.3045i −0.976884 + 1.16748i
\(334\) −14.8260 + 8.55982i −0.811245 + 0.468372i
\(335\) −1.06701 + 24.9553i −0.0582970 + 1.36345i
\(336\) −1.65101 + 0.367217i −0.0900699 + 0.0200333i
\(337\) 8.56192 + 18.3611i 0.466398 + 1.00019i 0.989041 + 0.147641i \(0.0471681\pi\)
−0.522643 + 0.852551i \(0.675054\pi\)
\(338\) 2.70327 + 1.26056i 0.147039 + 0.0685653i
\(339\) 1.01781 + 22.9477i 0.0552796 + 1.24635i
\(340\) −1.13412 1.47526i −0.0615063 0.0800070i
\(341\) 23.3983i 1.26709i
\(342\) 2.16569 12.8961i 0.117107 0.697342i
\(343\) −9.00846 + 9.00846i −0.486411 + 0.486411i
\(344\) 0.354485 + 2.01039i 0.0191126 + 0.108393i
\(345\) 17.0090 + 4.52850i 0.915732 + 0.243807i
\(346\) −5.45060 + 1.98386i −0.293026 + 0.106653i
\(347\) −9.53547 + 4.44646i −0.511891 + 0.238699i −0.661361 0.750067i \(-0.730021\pi\)
0.149470 + 0.988766i \(0.452243\pi\)
\(348\) −1.29969 0.826730i −0.0696705 0.0443174i
\(349\) 26.8791 + 15.5186i 1.43880 + 0.830694i 0.997767 0.0667952i \(-0.0212774\pi\)
0.441037 + 0.897489i \(0.354611\pi\)
\(350\) −0.416760 + 4.86470i −0.0222768 + 0.260029i
\(351\) 8.80758 13.8886i 0.470114 0.741318i
\(352\) −4.44269 + 3.11081i −0.236796 + 0.165807i
\(353\) 3.67339 13.7093i 0.195515 0.729671i −0.796618 0.604483i \(-0.793380\pi\)
0.992133 0.125188i \(-0.0399535\pi\)
\(354\) 3.81672 1.58403i 0.202857 0.0841902i
\(355\) −18.5654 29.0840i −0.985352 1.54362i
\(356\) −4.24660 + 11.6674i −0.225069 + 0.618373i
\(357\) 0.650778 + 1.24803i 0.0344428 + 0.0660525i
\(358\) −0.589342 + 6.73621i −0.0311477 + 0.356020i
\(359\) 1.03486 + 5.86897i 0.0546177 + 0.309752i 0.999862 0.0166112i \(-0.00528775\pi\)
−0.945244 + 0.326364i \(0.894177\pi\)
\(360\) −4.93544 + 4.54328i −0.260121 + 0.239452i
\(361\) 14.3882 12.4089i 0.757272 0.653100i
\(362\) 5.54980 5.54980i 0.291691 0.291691i
\(363\) 30.4122 9.61205i 1.59623 0.504502i
\(364\) −1.98662 2.36757i −0.104127 0.124094i
\(365\) −6.79852 6.21842i −0.355851 0.325487i
\(366\) 2.32534 + 3.64449i 0.121547 + 0.190500i
\(367\) −1.53850 17.5851i −0.0803088 0.917934i −0.924322 0.381612i \(-0.875369\pi\)
0.844014 0.536322i \(-0.180187\pi\)
\(368\) 4.38983 1.17625i 0.228836 0.0613163i
\(369\) 24.1946 24.2616i 1.25952 1.26301i
\(370\) 18.3743 + 9.54398i 0.955233 + 0.496168i
\(371\) 11.8467 + 2.08889i 0.615049 + 0.108450i
\(372\) −4.55303 5.92514i −0.236064 0.307204i
\(373\) −3.19947 11.9406i −0.165662 0.618259i −0.997955 0.0639230i \(-0.979639\pi\)
0.832293 0.554336i \(-0.187028\pi\)
\(374\) 3.45742 + 2.90112i 0.178779 + 0.150013i
\(375\) 8.24356 + 17.5227i 0.425696 + 0.904866i
\(376\) 7.14575 2.60084i 0.368514 0.134128i
\(377\) 0.245318 2.80399i 0.0126345 0.144413i
\(378\) 4.27376 2.73516i 0.219818 0.140681i
\(379\) 10.0904i 0.518309i 0.965836 + 0.259155i \(0.0834440\pi\)
−0.965836 + 0.259155i \(0.916556\pi\)
\(380\) −9.73397 + 0.499842i −0.499342 + 0.0256414i
\(381\) 4.69204 6.12355i 0.240381 0.313719i
\(382\) −8.54265 + 12.2002i −0.437080 + 0.624215i
\(383\) −11.4574 1.00240i −0.585448 0.0512201i −0.209416 0.977827i \(-0.567156\pi\)
−0.376032 + 0.926607i \(0.622712\pi\)
\(384\) −0.519696 + 1.65225i −0.0265206 + 0.0843158i
\(385\) −1.55634 11.7397i −0.0793184 0.598311i
\(386\) 2.04783 2.44051i 0.104232 0.124219i
\(387\) −3.06943 5.29947i −0.156028 0.269387i
\(388\) −4.89723 1.31221i −0.248619 0.0666174i
\(389\) 0.0809062 0.458842i 0.00410211 0.0232642i −0.982688 0.185268i \(-0.940685\pi\)
0.986790 + 0.162004i \(0.0517957\pi\)
\(390\) −11.5254 4.17413i −0.583613 0.211365i
\(391\) −1.89100 3.27530i −0.0956318 0.165639i
\(392\) 1.56493 + 5.84041i 0.0790411 + 0.294985i
\(393\) 0.245132 + 0.155929i 0.0123653 + 0.00786556i
\(394\) 6.18799 17.0014i 0.311746 0.856516i
\(395\) −9.92912 + 0.442492i −0.499588 + 0.0222642i
\(396\) 9.31399 13.3410i 0.468046 0.670408i
\(397\) −0.727290 + 1.03868i −0.0365016 + 0.0521297i −0.836988 0.547221i \(-0.815686\pi\)
0.800486 + 0.599351i \(0.204575\pi\)
\(398\) 7.28495 + 7.28495i 0.365162 + 0.365162i
\(399\) 7.31634 + 0.907737i 0.366275 + 0.0454437i
\(400\) 4.10093 + 2.86049i 0.205046 + 0.143024i
\(401\) −6.13890 + 1.08245i −0.306562 + 0.0540552i −0.324813 0.945778i \(-0.605301\pi\)
0.0182509 + 0.999833i \(0.494190\pi\)
\(402\) −14.2738 13.0614i −0.711914 0.651445i
\(403\) 5.77065 12.3752i 0.287457 0.616453i
\(404\) 1.75430 + 0.638513i 0.0872797 + 0.0317672i
\(405\) 9.22700 17.8847i 0.458493 0.888698i
\(406\) 0.434212 0.752077i 0.0215496 0.0373249i
\(407\) −48.5085 12.9978i −2.40448 0.644278i
\(408\) 1.44005 + 0.0618769i 0.0712930 + 0.00306336i
\(409\) −11.5683 2.03980i −0.572015 0.100862i −0.119844 0.992793i \(-0.538239\pi\)
−0.452171 + 0.891931i \(0.649350\pi\)
\(410\) −21.5515 13.7025i −1.06435 0.676717i
\(411\) 19.9268 8.27010i 0.982918 0.407934i
\(412\) 0.0925223 + 1.05754i 0.00455825 + 0.0521010i
\(413\) 0.984603 + 2.11149i 0.0484491 + 0.103900i
\(414\) −11.1575 + 7.83560i −0.548364 + 0.385099i
\(415\) −7.66197 + 18.5450i −0.376111 + 0.910336i
\(416\) −3.11692 + 0.549598i −0.152820 + 0.0269462i
\(417\) 22.5984 2.99102i 1.10665 0.146471i
\(418\) 22.7931 6.27308i 1.11485 0.306826i
\(419\) −22.2294 −1.08598 −0.542989 0.839740i \(-0.682707\pi\)
−0.542989 + 0.839740i \(0.682707\pi\)
\(420\) −2.67852 2.67000i −0.130698 0.130283i
\(421\) −28.6542 + 24.0437i −1.39652 + 1.17182i −0.433901 + 0.900960i \(0.642863\pi\)
−0.962619 + 0.270859i \(0.912692\pi\)
\(422\) 1.03510 2.21979i 0.0503880 0.108057i
\(423\) −17.4555 + 14.6881i −0.848717 + 0.714159i
\(424\) 7.91843 9.43682i 0.384553 0.458293i
\(425\) 1.41605 3.91253i 0.0686886 0.189785i
\(426\) 26.5007 + 3.47026i 1.28396 + 0.168135i
\(427\) −1.99653 + 1.39799i −0.0966189 + 0.0676533i
\(428\) 13.6664 9.56929i 0.660588 0.462549i
\(429\) 29.4798 + 3.86037i 1.42330 + 0.186380i
\(430\) −3.36267 + 3.08691i −0.162162 + 0.148864i
\(431\) −13.8538 + 16.5103i −0.667314 + 0.795274i −0.988416 0.151771i \(-0.951502\pi\)
0.321102 + 0.947045i \(0.395947\pi\)
\(432\) −0.237414 5.19073i −0.0114226 0.249739i
\(433\) 12.9274 27.7229i 0.621252 1.33228i −0.303908 0.952702i \(-0.598291\pi\)
0.925160 0.379578i \(-0.123931\pi\)
\(434\) 3.22723 2.70796i 0.154912 0.129986i
\(435\) −0.00548827 3.44432i −0.000263142 0.165142i
\(436\) 1.60390 0.0768130
\(437\) −19.7457 1.59291i −0.944564 0.0761991i
\(438\) 7.07505 0.936422i 0.338059 0.0447440i
\(439\) −38.1351 + 6.72425i −1.82009 + 0.320931i −0.976411 0.215920i \(-0.930725\pi\)
−0.843678 + 0.536850i \(0.819614\pi\)
\(440\) −11.2084 4.63083i −0.534340 0.220766i
\(441\) −10.4248 14.8445i −0.496420 0.706880i
\(442\) 1.11311 + 2.38708i 0.0529454 + 0.113542i
\(443\) −2.23041 25.4937i −0.105970 1.21124i −0.843951 0.536420i \(-0.819776\pi\)
0.737982 0.674821i \(-0.235779\pi\)
\(444\) −14.8130 + 6.14776i −0.702996 + 0.291760i
\(445\) −27.1000 + 6.03358i −1.28466 + 0.286019i
\(446\) 17.7621 + 3.13193i 0.841058 + 0.148301i
\(447\) 18.8505 + 0.809978i 0.891596 + 0.0383107i
\(448\) −0.943230 0.252738i −0.0445634 0.0119407i
\(449\) −2.30404 + 3.99072i −0.108735 + 0.188334i −0.915258 0.402869i \(-0.868013\pi\)
0.806523 + 0.591202i \(0.201347\pi\)
\(450\) −14.5012 3.83609i −0.683592 0.180835i
\(451\) 58.2077 + 21.1859i 2.74090 + 0.997604i
\(452\) −5.60471 + 12.0193i −0.263623 + 0.565342i
\(453\) −27.3220 25.0012i −1.28370 1.17466i
\(454\) −1.27318 + 0.224496i −0.0597533 + 0.0105361i
\(455\) 2.07219 6.59289i 0.0971459 0.309080i
\(456\) 4.55123 6.02381i 0.213131 0.282091i
\(457\) −28.7087 28.7087i −1.34294 1.34294i −0.893122 0.449815i \(-0.851490\pi\)
−0.449815 0.893122i \(-0.648510\pi\)
\(458\) 6.10319 8.71626i 0.285183 0.407284i
\(459\) −4.12129 + 1.30884i −0.192365 + 0.0610913i
\(460\) 7.49857 + 6.85874i 0.349623 + 0.319790i
\(461\) −6.98898 + 19.2021i −0.325509 + 0.894330i 0.663723 + 0.747978i \(0.268975\pi\)
−0.989233 + 0.146351i \(0.953247\pi\)
\(462\) 7.73991 + 4.92335i 0.360093 + 0.229055i
\(463\) −4.41162 16.4644i −0.205026 0.765166i −0.989442 0.144931i \(-0.953704\pi\)
0.784416 0.620235i \(-0.212963\pi\)
\(464\) −0.444660 0.770173i −0.0206428 0.0357544i
\(465\) 5.68975 15.7103i 0.263856 0.728548i
\(466\) 0.272967 1.54807i 0.0126449 0.0717130i
\(467\) 13.9547 + 3.73914i 0.645744 + 0.173027i 0.566804 0.823853i \(-0.308180\pi\)
0.0789404 + 0.996879i \(0.474846\pi\)
\(468\) 8.21636 4.75887i 0.379801 0.219979i
\(469\) 7.01157 8.35607i 0.323764 0.385847i
\(470\) 13.4994 + 10.3391i 0.622681 + 0.476908i
\(471\) −7.60544 + 24.1796i −0.350440 + 1.11414i
\(472\) 2.37675 + 0.207939i 0.109399 + 0.00957115i
\(473\) 6.35040 9.06931i 0.291992 0.417007i
\(474\) 4.68245 6.11102i 0.215072 0.280689i
\(475\) −12.6534 17.7452i −0.580579 0.814204i
\(476\) 0.812626i 0.0372466i
\(477\) −12.5919 + 34.7454i −0.576545 + 1.59088i
\(478\) −0.597533 + 6.82984i −0.0273305 + 0.312389i
\(479\) 39.1699 14.2567i 1.78972 0.651404i 0.790475 0.612494i \(-0.209834\pi\)
0.999243 0.0389099i \(-0.0123885\pi\)
\(480\) −3.73941 + 1.00836i −0.170680 + 0.0460252i
\(481\) −22.4503 18.8380i −1.02364 0.858939i
\(482\) 0.572771 + 2.13761i 0.0260890 + 0.0973655i
\(483\) −4.68356 6.09501i −0.213109 0.277332i
\(484\) 18.1349 + 3.19766i 0.824312 + 0.145348i
\(485\) −3.41881 10.8091i −0.155240 0.490814i
\(486\) 6.01517 + 14.3812i 0.272854 + 0.652343i
\(487\) −0.290934 + 0.0779555i −0.0131835 + 0.00353250i −0.265405 0.964137i \(-0.585506\pi\)
0.252221 + 0.967670i \(0.418839\pi\)
\(488\) 0.217537 + 2.48646i 0.00984746 + 0.112557i
\(489\) 16.6758 + 26.1359i 0.754106 + 1.18191i
\(490\) −9.12515 + 9.97642i −0.412232 + 0.450689i
\(491\) −19.0557 22.7097i −0.859973 1.02488i −0.999400 0.0346437i \(-0.988970\pi\)
0.139427 0.990232i \(-0.455474\pi\)
\(492\) 18.8625 5.96165i 0.850386 0.268772i
\(493\) −0.523311 + 0.523311i −0.0235687 + 0.0235687i
\(494\) 13.6023 + 2.30361i 0.611995 + 0.103644i
\(495\) 36.3510 + 1.50393i 1.63386 + 0.0675965i
\(496\) −0.749156 4.24867i −0.0336381 0.190771i
\(497\) −1.31328 + 15.0109i −0.0589089 + 0.673331i
\(498\) −7.18630 13.7815i −0.322026 0.617564i
\(499\) 7.60533 20.8955i 0.340461 0.935410i −0.644800 0.764352i \(-0.723059\pi\)
0.985261 0.171058i \(-0.0547185\pi\)
\(500\) −0.457439 + 11.1710i −0.0204573 + 0.499581i
\(501\) 27.3871 11.3663i 1.22357 0.507808i
\(502\) −4.93577 + 18.4205i −0.220294 + 0.822149i
\(503\) 20.6249 14.4417i 0.919620 0.643925i −0.0148793 0.999889i \(-0.504736\pi\)
0.934500 + 0.355964i \(0.115848\pi\)
\(504\) 2.91801 0.259357i 0.129978 0.0115527i
\(505\) 0.907202 + 4.07472i 0.0403700 + 0.181323i
\(506\) −21.3460 12.3241i −0.948945 0.547873i
\(507\) −4.35908 2.77281i −0.193594 0.123145i
\(508\) 4.03665 1.88232i 0.179098 0.0835146i
\(509\) 27.3556 9.95663i 1.21252 0.441320i 0.344941 0.938625i \(-0.387899\pi\)
0.867576 + 0.497305i \(0.165677\pi\)
\(510\) 1.61595 + 2.78864i 0.0715556 + 0.123483i
\(511\) 0.698689 + 3.96246i 0.0309082 + 0.175289i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −6.61956 + 21.6606i −0.292261 + 0.956339i
\(514\) 22.3037i 0.983774i
\(515\) −1.88192 + 1.44675i −0.0829273 + 0.0637513i
\(516\) −0.156671 3.53234i −0.00689705 0.155502i
\(517\) −37.3783 17.4298i −1.64390 0.766561i
\(518\) −3.82133 8.19487i −0.167900 0.360062i
\(519\) 9.80696 2.18126i 0.430478 0.0957467i
\(520\) −4.78597 5.21352i −0.209879 0.228628i
\(521\) −26.2672 + 15.1654i −1.15079 + 0.664407i −0.949079 0.315038i \(-0.897983\pi\)
−0.201708 + 0.979446i \(0.564649\pi\)
\(522\) 2.04614 + 1.71210i 0.0895573 + 0.0749368i
\(523\) −1.41528 2.02122i −0.0618857 0.0883819i 0.787016 0.616932i \(-0.211625\pi\)
−0.848902 + 0.528550i \(0.822736\pi\)
\(524\) 0.0838668 + 0.145262i 0.00366374 + 0.00634578i
\(525\) 1.80977 8.26085i 0.0789847 0.360533i
\(526\) 7.21330 + 6.05267i 0.314515 + 0.263909i
\(527\) −3.25383 + 1.51728i −0.141739 + 0.0660939i
\(528\) 8.32942 4.34334i 0.362492 0.189020i
\(529\) −1.50787 1.79701i −0.0655596 0.0781309i
\(530\) 27.3135 + 3.57081i 1.18642 + 0.155106i
\(531\) −6.91103 + 1.86205i −0.299913 + 0.0808060i
\(532\) 3.50315 + 2.41776i 0.151881 + 0.104823i
\(533\) 25.5607 + 25.5607i 1.10716 + 1.10716i
\(534\) 9.91696 19.0825i 0.429149 0.825780i
\(535\) 34.4787 + 14.2451i 1.49064 + 0.615869i
\(536\) −3.82055 10.4969i −0.165023 0.453396i
\(537\) 2.52704 11.4362i 0.109050 0.493506i
\(538\) −11.8554 + 1.03721i −0.511122 + 0.0447174i
\(539\) 16.3965 28.3996i 0.706248 1.22326i
\(540\) 9.49781 6.69265i 0.408721 0.288006i
\(541\) −6.25817 + 35.4918i −0.269060 + 1.52591i 0.488160 + 0.872754i \(0.337668\pi\)
−0.757220 + 0.653160i \(0.773443\pi\)
\(542\) −12.8753 18.3879i −0.553043 0.789827i
\(543\) −10.7793 + 8.28306i −0.462583 + 0.355460i
\(544\) 0.720688 + 0.416090i 0.0308993 + 0.0178397i
\(545\) 1.92972 + 3.02303i 0.0826601 + 0.129492i
\(546\) 2.87936 + 4.51281i 0.123225 + 0.193130i
\(547\) 15.8519 + 7.39188i 0.677780 + 0.316054i 0.730851 0.682537i \(-0.239123\pi\)
−0.0530715 + 0.998591i \(0.516901\pi\)
\(548\) 12.4088 + 1.08563i 0.530079 + 0.0463759i
\(549\) −3.17389 6.78195i −0.135458 0.289447i
\(550\) −4.75712 26.6971i −0.202844 1.13837i
\(551\) 0.698967 + 3.81292i 0.0297770 + 0.162436i
\(552\) −7.80357 + 1.03285i −0.332142 + 0.0439609i
\(553\) 3.55545 + 2.48955i 0.151193 + 0.105867i
\(554\) 2.27861 1.91198i 0.0968088 0.0812322i
\(555\) −29.4094 20.5229i −1.24836 0.871150i
\(556\) 12.3672 + 4.50131i 0.524488 + 0.190898i
\(557\) −31.4112 + 2.74812i −1.33094 + 0.116442i −0.730325 0.683100i \(-0.760631\pi\)
−0.600611 + 0.799542i \(0.705076\pi\)
\(558\) 6.48681 + 11.1997i 0.274608 + 0.474121i
\(559\) 5.59543 3.23052i 0.236661 0.136637i
\(560\) −0.658478 2.08187i −0.0278258 0.0879752i
\(561\) −5.28530 5.75990i −0.223146 0.243183i
\(562\) 6.51099 24.2993i 0.274650 1.02501i
\(563\) −26.2405 + 7.03111i −1.10590 + 0.296326i −0.765166 0.643833i \(-0.777343\pi\)
−0.340737 + 0.940159i \(0.610677\pi\)
\(564\) −12.8569 + 2.85964i −0.541375 + 0.120413i
\(565\) −29.3972 + 3.89721i −1.23675 + 0.163957i
\(566\) −1.54540 4.24596i −0.0649581 0.178471i
\(567\) −7.95481 + 3.73619i −0.334071 + 0.156905i
\(568\) 12.6402 + 8.85076i 0.530371 + 0.371370i
\(569\) 8.02284 0.336335 0.168168 0.985758i \(-0.446215\pi\)
0.168168 + 0.985758i \(0.446215\pi\)
\(570\) 16.8294 + 1.33066i 0.704907 + 0.0557353i
\(571\) 26.6225 1.11412 0.557059 0.830473i \(-0.311930\pi\)
0.557059 + 0.830473i \(0.311930\pi\)
\(572\) 14.0611 + 9.84572i 0.587926 + 0.411670i
\(573\) 17.4148 19.0313i 0.727512 0.795042i
\(574\) 3.81451 + 10.4803i 0.159215 + 0.437438i
\(575\) −3.90549 + 22.3853i −0.162870 + 0.933531i
\(576\) 1.26410 2.72067i 0.0526707 0.113361i
\(577\) 19.1647 5.13515i 0.797835 0.213779i 0.163202 0.986593i \(-0.447818\pi\)
0.634633 + 0.772814i \(0.281151\pi\)
\(578\) −4.22069 + 15.7518i −0.175557 + 0.655189i
\(579\) −4.06577 + 3.73076i −0.168968 + 0.155045i
\(580\) 0.916632 1.76472i 0.0380611 0.0732760i
\(581\) 7.58870 4.38134i 0.314832 0.181769i
\(582\) 8.11535 + 3.35492i 0.336392 + 0.139066i
\(583\) −66.5576 + 5.82304i −2.75653 + 0.241165i
\(584\) 3.87191 + 1.40926i 0.160221 + 0.0583157i
\(585\) 18.8549 + 9.76057i 0.779555 + 0.403550i
\(586\) 21.9908 18.4525i 0.908431 0.762264i
\(587\) 30.7838 + 21.5550i 1.27058 + 0.889672i 0.997384 0.0722858i \(-0.0230294\pi\)
0.273199 + 0.961958i \(0.411918\pi\)
\(588\) −1.37414 10.3822i −0.0566687 0.428155i
\(589\) −3.14005 + 18.5412i −0.129383 + 0.763978i
\(590\) 2.46764 + 4.72987i 0.101591 + 0.194726i
\(591\) −14.4506 + 27.8063i −0.594420 + 1.14380i
\(592\) −9.22437 0.807028i −0.379119 0.0331687i
\(593\) 0.305637 + 0.142521i 0.0125510 + 0.00585263i 0.428884 0.903360i \(-0.358907\pi\)
−0.416333 + 0.909212i \(0.636685\pi\)
\(594\) −18.9960 + 20.8170i −0.779415 + 0.854131i
\(595\) −1.53163 + 0.977702i −0.0627908 + 0.0400819i
\(596\) 9.43393 + 5.44668i 0.386429 + 0.223105i
\(597\) −10.8728 14.1494i −0.444993 0.579097i
\(598\) −8.25030 11.7827i −0.337380 0.481828i
\(599\) 0.461204 2.61562i 0.0188443 0.106871i −0.973935 0.226828i \(-0.927164\pi\)
0.992779 + 0.119957i \(0.0382756\pi\)
\(600\) −6.39959 5.83483i −0.261262 0.238206i
\(601\) −11.3512 + 19.6609i −0.463025 + 0.801983i −0.999110 0.0421811i \(-0.986569\pi\)
0.536085 + 0.844164i \(0.319903\pi\)
\(602\) 1.98585 0.173739i 0.0809371 0.00708108i
\(603\) 21.5763 + 25.6416i 0.878656 + 1.04421i
\(604\) −7.31303 20.0924i −0.297563 0.817547i
\(605\) 15.7918 + 38.0277i 0.642029 + 1.54605i
\(606\) −2.86922 1.49110i −0.116554 0.0605719i
\(607\) −10.1732 10.1732i −0.412918 0.412918i 0.469836 0.882754i \(-0.344313\pi\)
−0.882754 + 0.469836i \(0.844313\pi\)
\(608\) 3.93794 1.86885i 0.159705 0.0757919i
\(609\) −0.914846 + 1.19396i −0.0370714 + 0.0483816i
\(610\) −4.42475 + 3.40158i −0.179153 + 0.137726i
\(611\) −15.4705 18.4370i −0.625870 0.745882i
\(612\) −2.45921 0.430121i −0.0994075 0.0173866i
\(613\) 25.8527 12.0553i 1.04418 0.486910i 0.176641 0.984275i \(-0.443477\pi\)
0.867541 + 0.497365i \(0.165699\pi\)
\(614\) 10.9506 + 9.18867i 0.441931 + 0.370824i
\(615\) 33.9307 + 28.3792i 1.36822 + 1.14436i
\(616\) 2.64804 + 4.58655i 0.106693 + 0.184797i
\(617\) 7.86614 + 11.2340i 0.316679 + 0.452264i 0.945660 0.325156i \(-0.105417\pi\)
−0.628982 + 0.777420i \(0.716528\pi\)
\(618\) 0.0789336 1.83701i 0.00317518 0.0738952i
\(619\) −15.7747 + 9.10752i −0.634038 + 0.366062i −0.782314 0.622884i \(-0.785961\pi\)
0.148276 + 0.988946i \(0.452628\pi\)
\(620\) 7.10654 6.52375i 0.285406 0.262000i
\(621\) 20.9240 10.9475i 0.839651 0.439310i
\(622\) −0.369395 0.792169i −0.0148114 0.0317631i
\(623\) 10.9885 + 5.12403i 0.440245 + 0.205290i
\(624\) 5.47657 0.242904i 0.219238 0.00972394i
\(625\) −21.6054 + 12.5781i −0.864215 + 0.503123i
\(626\) 2.66027i 0.106326i
\(627\) −40.5554 + 5.64734i −1.61963 + 0.225533i
\(628\) −10.3481 + 10.3481i −0.412934 + 0.412934i
\(629\) 1.33807 + 7.58859i 0.0533525 + 0.302577i
\(630\) 3.99960 + 5.18780i 0.159348 + 0.206687i
\(631\) −1.29808 + 0.472463i −0.0516758 + 0.0188085i −0.367729 0.929933i \(-0.619865\pi\)
0.316053 + 0.948742i \(0.397642\pi\)
\(632\) 4.02840 1.87847i 0.160241 0.0747216i
\(633\) −2.27688 + 3.57945i −0.0904981 + 0.142270i
\(634\) −2.89946 1.67400i −0.115152 0.0664832i
\(635\) 8.40445 + 5.34357i 0.333520 + 0.212053i
\(636\) −15.7213 + 14.4259i −0.623390 + 0.572024i
\(637\) 15.6761 10.9765i 0.621111 0.434907i
\(638\) −1.24835 + 4.65890i −0.0494226 + 0.184448i
\(639\) −44.7316 11.9196i −1.76956 0.471531i
\(640\) −2.18350 0.482004i −0.0863104 0.0190529i
\(641\) 11.0270 30.2964i 0.435540 1.19664i −0.506825 0.862049i \(-0.669181\pi\)
0.942365 0.334587i \(-0.108597\pi\)
\(642\) −25.6225 + 13.3607i −1.01124 + 0.527306i
\(643\) 0.801739 9.16392i 0.0316175 0.361390i −0.963861 0.266405i \(-0.914164\pi\)
0.995479 0.0949848i \(-0.0302802\pi\)
\(644\) −0.770633 4.37048i −0.0303672 0.172221i
\(645\) 6.46923 4.54519i 0.254726 0.178966i
\(646\) −2.35040 2.76289i −0.0924751 0.108704i
\(647\) 13.5416 13.5416i 0.532377 0.532377i −0.388902 0.921279i \(-0.627146\pi\)
0.921279 + 0.388902i \(0.127146\pi\)
\(648\) −0.759616 + 8.96789i −0.0298405 + 0.352292i
\(649\) −8.31742 9.91231i −0.326487 0.389092i
\(650\) 4.06823 15.2932i 0.159569 0.599848i
\(651\) −6.15140 + 3.92485i −0.241092 + 0.153827i
\(652\) 1.56004 + 17.8313i 0.0610958 + 0.698328i
\(653\) −45.4569 + 12.1801i −1.77887 + 0.476646i −0.990376 0.138403i \(-0.955803\pi\)
−0.788489 + 0.615048i \(0.789137\pi\)
\(654\) −2.75452 0.360704i −0.107710 0.0141046i
\(655\) −0.172885 + 0.332842i −0.00675517 + 0.0130052i
\(656\) 11.2477 + 1.98328i 0.439150 + 0.0774340i
\(657\) −12.3612 + 0.0170840i −0.482256 + 0.000666512i
\(658\) −1.92191 7.17265i −0.0749237 0.279619i
\(659\) 18.3160 + 15.3689i 0.713489 + 0.598689i 0.925576 0.378562i \(-0.123581\pi\)
−0.212087 + 0.977251i \(0.568026\pi\)
\(660\) 18.2078 + 10.4736i 0.708736 + 0.407685i
\(661\) 22.8096 8.30203i 0.887192 0.322912i 0.142084 0.989855i \(-0.454620\pi\)
0.745109 + 0.666943i \(0.232398\pi\)
\(662\) 0.661976 7.56642i 0.0257284 0.294077i
\(663\) −1.37482 4.34988i −0.0533934 0.168935i
\(664\) 8.97353i 0.348240i
\(665\) −0.342197 + 9.51162i −0.0132698 + 0.368845i
\(666\) 26.8223 7.22677i 1.03934 0.280032i
\(667\) 2.31821 3.31075i 0.0897615 0.128193i
\(668\) 17.0545 + 1.49207i 0.659858 + 0.0577301i
\(669\) −29.8000 9.37328i −1.15214 0.362392i
\(670\) 15.1878 19.8302i 0.586756 0.766106i
\(671\) 8.70136 10.3699i 0.335912 0.400325i
\(672\) 1.56305 + 0.646173i 0.0602961 + 0.0249267i
\(673\) 20.2790 + 5.43375i 0.781699 + 0.209456i 0.627534 0.778589i \(-0.284064\pi\)
0.154165 + 0.988045i \(0.450731\pi\)
\(674\) 3.51798 19.9514i 0.135507 0.768501i
\(675\) 24.0415 + 9.84925i 0.925357 + 0.379098i
\(676\) −1.49137 2.58312i −0.0573602 0.0993508i
\(677\) 2.81301 + 10.4983i 0.108113 + 0.403482i 0.998680 0.0513702i \(-0.0163588\pi\)
−0.890567 + 0.454852i \(0.849692\pi\)
\(678\) 12.3285 19.3814i 0.473474 0.744339i
\(679\) −1.69329 + 4.65229i −0.0649827 + 0.178538i
\(680\) 0.0828449 + 1.85896i 0.00317696 + 0.0712880i
\(681\) 2.23703 0.0992197i 0.0857232 0.00380211i
\(682\) −13.4207 + 19.1667i −0.513905 + 0.733932i
\(683\) −15.9176 15.9176i −0.609068 0.609068i 0.333634 0.942703i \(-0.391725\pi\)
−0.942703 + 0.333634i \(0.891725\pi\)
\(684\) −9.17094 + 9.32169i −0.350660 + 0.356424i
\(685\) 12.8834 + 24.6943i 0.492248 + 0.943520i
\(686\) 12.5463 2.21226i 0.479022 0.0844644i
\(687\) −12.4418 + 13.5966i −0.474683 + 0.518745i
\(688\) 0.862733 1.85014i 0.0328914 0.0705358i
\(689\) −36.6380 13.3352i −1.39580 0.508029i
\(690\) −11.3355 13.4655i −0.431535 0.512622i
\(691\) 18.0471 31.2585i 0.686544 1.18913i −0.286405 0.958109i \(-0.592460\pi\)
0.972949 0.231020i \(-0.0742064\pi\)
\(692\) 5.60277 + 1.50126i 0.212985 + 0.0570692i
\(693\) −12.1852 10.1959i −0.462878 0.387312i
\(694\) 10.3614 + 1.82699i 0.393313 + 0.0693517i
\(695\) 6.39548 + 28.7254i 0.242594 + 1.08962i
\(696\) 0.590449 + 1.42269i 0.0223809 + 0.0539268i
\(697\) −0.828374 9.46835i −0.0313769 0.358639i
\(698\) −13.1169 28.1293i −0.496483 1.06471i
\(699\) −0.816938 + 2.59725i −0.0308994 + 0.0982371i
\(700\) 3.13166 3.74588i 0.118366 0.141581i
\(701\) −4.39747 + 0.775393i −0.166090 + 0.0292862i −0.256075 0.966657i \(-0.582429\pi\)
0.0899845 + 0.995943i \(0.471318\pi\)
\(702\) −15.1809 + 6.32504i −0.572967 + 0.238723i
\(703\) 36.6948 + 16.8096i 1.38397 + 0.633985i
\(704\) 5.42352 0.204407
\(705\) −20.8585 20.7922i −0.785578 0.783078i
\(706\) −10.8724 + 9.12301i −0.409187 + 0.343349i
\(707\) 0.770442 1.65222i 0.0289755 0.0621381i
\(708\) −4.03504 0.891622i −0.151646 0.0335092i
\(709\) −18.2120 + 21.7043i −0.683967 + 0.815120i −0.990612 0.136704i \(-0.956349\pi\)
0.306645 + 0.951824i \(0.400794\pi\)
\(710\) −1.47395 + 34.4729i −0.0553165 + 1.29374i
\(711\) −9.41590 + 9.44196i −0.353124 + 0.354101i
\(712\) 10.1708 7.12165i 0.381166 0.266895i
\(713\) 16.0609 11.2460i 0.601486 0.421165i
\(714\) 0.182752 1.39559i 0.00683934 0.0522288i
\(715\) −1.63965 + 38.3482i −0.0613193 + 1.43414i
\(716\) 4.34649 5.17995i 0.162436 0.193584i
\(717\) 2.56217 11.5951i 0.0956859 0.433027i
\(718\) 2.51860 5.40115i 0.0939932 0.201569i
\(719\) 1.35864 1.14003i 0.0506686 0.0425160i −0.617102 0.786883i \(-0.711693\pi\)
0.667770 + 0.744367i \(0.267249\pi\)
\(720\) 6.64880 0.890788i 0.247786 0.0331977i
\(721\) 1.03663 0.0386062
\(722\) −18.9035 + 1.91207i −0.703517 + 0.0711597i
\(723\) −0.502941 3.79992i −0.0187046 0.141321i
\(724\) −7.72937 + 1.36290i −0.287260 + 0.0506516i
\(725\) 4.42897 0.395541i 0.164488 0.0146900i
\(726\) −30.4255 9.57000i −1.12920 0.355176i
\(727\) −5.42347 11.6307i −0.201145 0.431358i 0.779698 0.626156i \(-0.215373\pi\)
−0.980843 + 0.194798i \(0.937595\pi\)
\(728\) 0.269367 + 3.07888i 0.00998340 + 0.114111i
\(729\) −7.09619 26.0508i −0.262822 0.964844i
\(730\) 2.00228 + 8.99331i 0.0741078 + 0.332857i
\(731\) −1.67300 0.294995i −0.0618782 0.0109108i
\(732\) 0.185588 4.31915i 0.00685952 0.159640i
\(733\) −36.4818 9.77526i −1.34749 0.361058i −0.488279 0.872687i \(-0.662375\pi\)
−0.859206 + 0.511630i \(0.829042\pi\)
\(734\) −8.82613 + 15.2873i −0.325778 + 0.564265i
\(735\) 17.9150 15.0812i 0.660806 0.556279i
\(736\) −4.27061 1.55437i −0.157417 0.0572950i
\(737\) −25.6038 + 54.9075i −0.943127 + 2.02254i
\(738\) −33.7349 + 5.99646i −1.24180 + 0.220733i
\(739\) 36.4384 6.42507i 1.34041 0.236350i 0.542970 0.839752i \(-0.317300\pi\)
0.797437 + 0.603402i \(0.206188\pi\)
\(740\) −9.57713 18.3570i −0.352062 0.674818i
\(741\) −22.8423 7.01523i −0.839133 0.257711i
\(742\) −8.50610 8.50610i −0.312269 0.312269i
\(743\) −4.69065 + 6.69895i −0.172083 + 0.245760i −0.895925 0.444206i \(-0.853486\pi\)
0.723841 + 0.689966i \(0.242375\pi\)
\(744\) 0.331102 + 7.46510i 0.0121388 + 0.273684i
\(745\) 1.08445 + 24.3341i 0.0397313 + 0.891534i
\(746\) −4.22798 + 11.6163i −0.154797 + 0.425302i
\(747\) 9.24234 + 25.2843i 0.338159 + 0.925105i
\(748\) −1.16814 4.35956i −0.0427114 0.159401i
\(749\) −8.14576 14.1089i −0.297640 0.515527i
\(750\) 3.29786 19.0820i 0.120421 0.696777i
\(751\) 2.68206 15.2107i 0.0978696 0.555046i −0.895961 0.444134i \(-0.853512\pi\)
0.993830 0.110912i \(-0.0353773\pi\)
\(752\) −7.34524 1.96815i −0.267853 0.0717711i
\(753\) 12.6192 30.5252i 0.459871 1.11240i
\(754\) −1.80926 + 2.15619i −0.0658892 + 0.0785237i
\(755\) 29.0714 37.9575i 1.05802 1.38141i
\(756\) −5.06968 0.210818i −0.184382 0.00766737i
\(757\) −31.5968 2.76437i −1.14841 0.100473i −0.502982 0.864297i \(-0.667764\pi\)
−0.645424 + 0.763824i \(0.723319\pi\)
\(758\) 5.78762 8.26558i 0.210216 0.300219i
\(759\) 33.8878 + 25.9658i 1.23005 + 0.942499i
\(760\) 8.26030 + 5.17373i 0.299633 + 0.187671i
\(761\) 40.2179i 1.45790i −0.684568 0.728949i \(-0.740009\pi\)
0.684568 0.728949i \(-0.259991\pi\)
\(762\) −7.35582 + 2.32487i −0.266473 + 0.0842212i
\(763\) 0.136505 1.56026i 0.00494180 0.0564851i
\(764\) 13.9955 5.09393i 0.506338 0.184292i
\(765\) −2.14808 5.15260i −0.0776640 0.186293i
\(766\) 8.81044 + 7.39284i 0.318334 + 0.267114i
\(767\) −1.95439 7.29386i −0.0705688 0.263366i
\(768\) 1.37340 1.05536i 0.0495583 0.0380818i
\(769\) 30.3644 + 5.35406i 1.09497 + 0.193072i 0.691825 0.722065i \(-0.256807\pi\)
0.403143 + 0.915137i \(0.367918\pi\)
\(770\) −5.45874 + 10.5093i −0.196719 + 0.378728i
\(771\) −5.01591 + 38.3041i −0.180643 + 1.37949i
\(772\) −3.07730 + 0.824561i −0.110755 + 0.0296766i
\(773\) −2.52232 28.8302i −0.0907215 1.03695i −0.896000 0.444055i