Properties

Label 637.2.bl.a.235.5
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.5
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.a.534.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.75343 - 0.264286i) q^{2} +(2.20463 - 1.50309i) q^{3} +(1.09351 + 0.337303i) q^{4} +(0.122640 + 1.63652i) q^{5} +(-4.26290 + 2.05290i) q^{6} +(1.02453 - 2.43933i) q^{7} +(1.36701 + 0.658317i) q^{8} +(1.50508 - 3.83489i) q^{9} +O(q^{10})\) \(q+(-1.75343 - 0.264286i) q^{2} +(2.20463 - 1.50309i) q^{3} +(1.09351 + 0.337303i) q^{4} +(0.122640 + 1.63652i) q^{5} +(-4.26290 + 2.05290i) q^{6} +(1.02453 - 2.43933i) q^{7} +(1.36701 + 0.658317i) q^{8} +(1.50508 - 3.83489i) q^{9} +(0.217470 - 2.90193i) q^{10} +(-1.32874 - 3.38557i) q^{11} +(2.91778 - 0.900015i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-2.44112 + 4.00642i) q^{14} +(2.73022 + 3.42358i) q^{15} +(-4.11398 - 2.80486i) q^{16} +(-5.25301 - 4.87408i) q^{17} +(-3.65256 + 6.32642i) q^{18} +(3.12087 + 5.40550i) q^{19} +(-0.417895 + 1.83092i) q^{20} +(-1.40783 - 6.91778i) q^{21} +(1.43508 + 6.28751i) q^{22} +(1.14152 - 1.05918i) q^{23} +(4.00326 - 0.603394i) q^{24} +(2.28099 - 0.343804i) q^{25} +(1.29987 - 1.20610i) q^{26} +(-0.664797 - 2.91267i) q^{27} +(1.94313 - 2.32186i) q^{28} +(1.85565 - 8.13013i) q^{29} +(-3.88243 - 6.72456i) q^{30} +(1.13236 - 1.96130i) q^{31} +(4.24780 + 3.94138i) q^{32} +(-8.01818 - 5.46671i) q^{33} +(7.92260 + 9.93463i) q^{34} +(4.11767 + 1.37751i) q^{35} +(2.93934 - 3.68582i) q^{36} +(8.43537 - 2.60197i) q^{37} +(-4.04361 - 10.3029i) q^{38} +(-0.199400 + 2.66081i) q^{39} +(-0.909700 + 2.31788i) q^{40} +(3.12410 + 1.50449i) q^{41} +(0.640247 + 12.5019i) q^{42} +(-0.0979776 + 0.0471835i) q^{43} +(-0.311025 - 4.15034i) q^{44} +(6.46047 + 1.99279i) q^{45} +(-2.28150 + 1.55550i) q^{46} +(-10.8420 - 1.63416i) q^{47} -13.2858 q^{48} +(-4.90068 - 4.99834i) q^{49} -4.09041 q^{50} +(-18.9071 - 2.84979i) q^{51} +(-0.945506 + 0.644635i) q^{52} +(1.40006 + 0.431860i) q^{53} +(0.395894 + 5.28284i) q^{54} +(5.37760 - 2.58972i) q^{55} +(3.00640 - 2.66012i) q^{56} +(15.0053 + 7.22617i) q^{57} +(-5.40243 + 13.7652i) q^{58} +(-0.566914 + 7.56494i) q^{59} +(1.83073 + 4.66463i) q^{60} +(-12.9649 + 3.99915i) q^{61} +(-2.50384 + 3.13972i) q^{62} +(-7.81256 - 7.60035i) q^{63} +(-0.197631 - 0.247821i) q^{64} +(-1.35595 - 0.924471i) q^{65} +(12.6145 + 11.7046i) q^{66} +(2.89269 - 5.01029i) q^{67} +(-4.10017 - 7.10170i) q^{68} +(0.924594 - 4.05091i) q^{69} +(-6.85597 - 3.50360i) q^{70} +(0.131613 + 0.576633i) q^{71} +(4.58204 - 4.25151i) q^{72} +(4.25778 - 0.641757i) q^{73} +(-15.4785 + 2.33300i) q^{74} +(4.51197 - 4.18649i) q^{75} +(1.58941 + 6.96364i) q^{76} +(-9.61985 - 0.227383i) q^{77} +(1.05285 - 4.61283i) q^{78} +(-1.79085 - 3.10184i) q^{79} +(4.08568 - 7.07661i) q^{80} +(3.21615 + 2.98416i) q^{81} +(-5.08026 - 3.46367i) q^{82} +(-6.37803 - 7.99779i) q^{83} +(0.793914 - 8.03952i) q^{84} +(7.33231 - 9.19442i) q^{85} +(0.184266 - 0.0568387i) q^{86} +(-8.12930 - 20.7131i) q^{87} +(0.412380 - 5.50283i) q^{88} +(-2.73355 + 6.96497i) q^{89} +(-10.8013 - 5.20162i) q^{90} +(1.26836 + 2.32191i) q^{91} +(1.60553 - 0.773183i) q^{92} +(-0.451583 - 6.02596i) q^{93} +(18.5787 + 5.73077i) q^{94} +(-8.46347 + 5.77030i) q^{95} +(15.2891 + 2.30446i) q^{96} +18.3071 q^{97} +(7.27198 + 10.0594i) q^{98} -14.9831 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.75343 0.264286i −1.23986 0.186879i −0.503815 0.863812i \(-0.668071\pi\)
−0.736045 + 0.676933i \(0.763309\pi\)
\(3\) 2.20463 1.50309i 1.27284 0.867810i 0.277178 0.960819i \(-0.410601\pi\)
0.995665 + 0.0930092i \(0.0296486\pi\)
\(4\) 1.09351 + 0.337303i 0.546755 + 0.168651i
\(5\) 0.122640 + 1.63652i 0.0548465 + 0.731875i 0.955057 + 0.296421i \(0.0957931\pi\)
−0.900211 + 0.435454i \(0.856588\pi\)
\(6\) −4.26290 + 2.05290i −1.74032 + 0.838094i
\(7\) 1.02453 2.43933i 0.387236 0.921981i
\(8\) 1.36701 + 0.658317i 0.483311 + 0.232750i
\(9\) 1.50508 3.83489i 0.501694 1.27830i
\(10\) 0.217470 2.90193i 0.0687700 0.917672i
\(11\) −1.32874 3.38557i −0.400629 1.02079i −0.978790 0.204864i \(-0.934325\pi\)
0.578161 0.815923i \(-0.303771\pi\)
\(12\) 2.91778 0.900015i 0.842290 0.259812i
\(13\) −0.623490 + 0.781831i −0.172925 + 0.216841i
\(14\) −2.44112 + 4.00642i −0.652417 + 1.07076i
\(15\) 2.73022 + 3.42358i 0.704939 + 0.883966i
\(16\) −4.11398 2.80486i −1.02849 0.701216i
\(17\) −5.25301 4.87408i −1.27404 1.18214i −0.973581 0.228343i \(-0.926669\pi\)
−0.300460 0.953794i \(-0.597140\pi\)
\(18\) −3.65256 + 6.32642i −0.860917 + 1.49115i
\(19\) 3.12087 + 5.40550i 0.715976 + 1.24011i 0.962582 + 0.270991i \(0.0873512\pi\)
−0.246606 + 0.969116i \(0.579315\pi\)
\(20\) −0.417895 + 1.83092i −0.0934443 + 0.409406i
\(21\) −1.40783 6.91778i −0.307213 1.50958i
\(22\) 1.43508 + 6.28751i 0.305961 + 1.34050i
\(23\) 1.14152 1.05918i 0.238024 0.220854i −0.552137 0.833754i \(-0.686187\pi\)
0.790161 + 0.612899i \(0.209997\pi\)
\(24\) 4.00326 0.603394i 0.817162 0.123167i
\(25\) 2.28099 0.343804i 0.456198 0.0687608i
\(26\) 1.29987 1.20610i 0.254926 0.236536i
\(27\) −0.664797 2.91267i −0.127940 0.560543i
\(28\) 1.94313 2.32186i 0.367216 0.438789i
\(29\) 1.85565 8.13013i 0.344585 1.50973i −0.444688 0.895685i \(-0.646685\pi\)
0.789273 0.614042i \(-0.210457\pi\)
\(30\) −3.88243 6.72456i −0.708831 1.22773i
\(31\) 1.13236 1.96130i 0.203377 0.352259i −0.746237 0.665680i \(-0.768142\pi\)
0.949614 + 0.313421i \(0.101475\pi\)
\(32\) 4.24780 + 3.94138i 0.750912 + 0.696744i
\(33\) −8.01818 5.46671i −1.39579 0.951631i
\(34\) 7.92260 + 9.93463i 1.35872 + 1.70378i
\(35\) 4.11767 + 1.37751i 0.696013 + 0.232841i
\(36\) 2.93934 3.68582i 0.489890 0.614303i
\(37\) 8.43537 2.60197i 1.38677 0.427761i 0.490564 0.871405i \(-0.336791\pi\)
0.896203 + 0.443644i \(0.146315\pi\)
\(38\) −4.04361 10.3029i −0.655960 1.67136i
\(39\) −0.199400 + 2.66081i −0.0319296 + 0.426070i
\(40\) −0.909700 + 2.31788i −0.143836 + 0.366489i
\(41\) 3.12410 + 1.50449i 0.487903 + 0.234962i 0.661627 0.749833i \(-0.269866\pi\)
−0.173725 + 0.984794i \(0.555580\pi\)
\(42\) 0.640247 + 12.5019i 0.0987923 + 1.92908i
\(43\) −0.0979776 + 0.0471835i −0.0149414 + 0.00719542i −0.441340 0.897340i \(-0.645497\pi\)
0.426398 + 0.904536i \(0.359782\pi\)
\(44\) −0.311025 4.15034i −0.0468887 0.625687i
\(45\) 6.46047 + 1.99279i 0.963069 + 0.297068i
\(46\) −2.28150 + 1.55550i −0.336389 + 0.229346i
\(47\) −10.8420 1.63416i −1.58146 0.238367i −0.701239 0.712926i \(-0.747369\pi\)
−0.880224 + 0.474559i \(0.842608\pi\)
\(48\) −13.2858 −1.91763
\(49\) −4.90068 4.99834i −0.700097 0.714048i
\(50\) −4.09041 −0.578471
\(51\) −18.9071 2.84979i −2.64752 0.399050i
\(52\) −0.945506 + 0.644635i −0.131118 + 0.0893948i
\(53\) 1.40006 + 0.431860i 0.192312 + 0.0593205i 0.389415 0.921062i \(-0.372677\pi\)
−0.197103 + 0.980383i \(0.563153\pi\)
\(54\) 0.395894 + 5.28284i 0.0538744 + 0.718904i
\(55\) 5.37760 2.58972i 0.725115 0.349197i
\(56\) 3.00640 2.66012i 0.401747 0.355474i
\(57\) 15.0053 + 7.22617i 1.98750 + 0.957130i
\(58\) −5.40243 + 13.7652i −0.709373 + 1.80745i
\(59\) −0.566914 + 7.56494i −0.0738059 + 0.984872i 0.830232 + 0.557419i \(0.188208\pi\)
−0.904038 + 0.427453i \(0.859411\pi\)
\(60\) 1.83073 + 4.66463i 0.236347 + 0.602201i
\(61\) −12.9649 + 3.99915i −1.65999 + 0.512039i −0.976058 0.217508i \(-0.930207\pi\)
−0.683931 + 0.729547i \(0.739731\pi\)
\(62\) −2.50384 + 3.13972i −0.317989 + 0.398745i
\(63\) −7.81256 7.60035i −0.984291 0.957555i
\(64\) −0.197631 0.247821i −0.0247039 0.0309777i
\(65\) −1.35595 0.924471i −0.168185 0.114667i
\(66\) 12.6145 + 11.7046i 1.55274 + 1.44073i
\(67\) 2.89269 5.01029i 0.353399 0.612105i −0.633444 0.773789i \(-0.718359\pi\)
0.986843 + 0.161684i \(0.0516926\pi\)
\(68\) −4.10017 7.10170i −0.497219 0.861208i
\(69\) 0.924594 4.05091i 0.111308 0.487672i
\(70\) −6.85597 3.50360i −0.819445 0.418760i
\(71\) 0.131613 + 0.576633i 0.0156196 + 0.0684338i 0.982137 0.188167i \(-0.0602546\pi\)
−0.966517 + 0.256601i \(0.917397\pi\)
\(72\) 4.58204 4.25151i 0.539998 0.501045i
\(73\) 4.25778 0.641757i 0.498336 0.0751120i 0.104935 0.994479i \(-0.466537\pi\)
0.393401 + 0.919367i \(0.371299\pi\)
\(74\) −15.4785 + 2.33300i −1.79933 + 0.271206i
\(75\) 4.51197 4.18649i 0.520997 0.483414i
\(76\) 1.58941 + 6.96364i 0.182317 + 0.798784i
\(77\) −9.61985 0.227383i −1.09628 0.0259127i
\(78\) 1.05285 4.61283i 0.119212 0.522300i
\(79\) −1.79085 3.10184i −0.201486 0.348984i 0.747521 0.664238i \(-0.231244\pi\)
−0.949007 + 0.315254i \(0.897910\pi\)
\(80\) 4.08568 7.07661i 0.456793 0.791189i
\(81\) 3.21615 + 2.98416i 0.357350 + 0.331573i
\(82\) −5.08026 3.46367i −0.561021 0.382498i
\(83\) −6.37803 7.99779i −0.700080 0.877872i 0.296950 0.954893i \(-0.404031\pi\)
−0.997029 + 0.0770211i \(0.975459\pi\)
\(84\) 0.793914 8.03952i 0.0866232 0.877184i
\(85\) 7.33231 9.19442i 0.795300 0.997275i
\(86\) 0.184266 0.0568387i 0.0198700 0.00612907i
\(87\) −8.12930 20.7131i −0.871553 2.22068i
\(88\) 0.412380 5.50283i 0.0439599 0.586604i
\(89\) −2.73355 + 6.96497i −0.289756 + 0.738286i 0.709674 + 0.704530i \(0.248842\pi\)
−0.999430 + 0.0337557i \(0.989253\pi\)
\(90\) −10.8013 5.20162i −1.13855 0.548299i
\(91\) 1.26836 + 2.32191i 0.132961 + 0.243402i
\(92\) 1.60553 0.773183i 0.167388 0.0806099i
\(93\) −0.451583 6.02596i −0.0468270 0.624863i
\(94\) 18.5787 + 5.73077i 1.91625 + 0.591084i
\(95\) −8.46347 + 5.77030i −0.868334 + 0.592020i
\(96\) 15.2891 + 2.30446i 1.56043 + 0.235198i
\(97\) 18.3071 1.85880 0.929401 0.369071i \(-0.120324\pi\)
0.929401 + 0.369071i \(0.120324\pi\)
\(98\) 7.27198 + 10.0594i 0.734581 + 1.01615i
\(99\) −14.9831 −1.50586
\(100\) 2.61025 + 0.393432i 0.261025 + 0.0393432i
\(101\) 1.39567 0.951551i 0.138874 0.0946828i −0.491890 0.870657i \(-0.663694\pi\)
0.630764 + 0.775974i \(0.282741\pi\)
\(102\) 32.3990 + 9.99378i 3.20798 + 0.989532i
\(103\) −0.706542 9.42815i −0.0696177 0.928984i −0.917228 0.398364i \(-0.869578\pi\)
0.847610 0.530620i \(-0.178041\pi\)
\(104\) −1.36701 + 0.658317i −0.134046 + 0.0645533i
\(105\) 11.1484 3.15234i 1.08798 0.307637i
\(106\) −2.34076 1.12725i −0.227355 0.109488i
\(107\) −1.61219 + 4.10779i −0.155856 + 0.397115i −0.987379 0.158376i \(-0.949374\pi\)
0.831523 + 0.555491i \(0.187470\pi\)
\(108\) 0.255489 3.40927i 0.0245845 0.328057i
\(109\) 5.91616 + 15.0741i 0.566666 + 1.44384i 0.871004 + 0.491276i \(0.163469\pi\)
−0.304338 + 0.952564i \(0.598435\pi\)
\(110\) −10.1136 + 3.11965i −0.964299 + 0.297447i
\(111\) 14.6859 18.4155i 1.39392 1.74792i
\(112\) −11.0569 + 7.16169i −1.04478 + 0.676716i
\(113\) −4.30168 5.39414i −0.404668 0.507438i 0.537184 0.843465i \(-0.319488\pi\)
−0.941852 + 0.336027i \(0.890917\pi\)
\(114\) −24.4009 16.6363i −2.28535 1.55813i
\(115\) 1.87337 + 1.73823i 0.174692 + 0.162091i
\(116\) 4.77149 8.26446i 0.443021 0.767336i
\(117\) 2.05983 + 3.56774i 0.190432 + 0.329837i
\(118\) 2.99335 13.1147i 0.275561 1.20731i
\(119\) −17.2714 + 7.82019i −1.58326 + 0.716875i
\(120\) 1.47843 + 6.47742i 0.134961 + 0.591305i
\(121\) −1.63295 + 1.51516i −0.148450 + 0.137741i
\(122\) 23.7900 3.58576i 2.15384 0.324639i
\(123\) 9.14886 1.37897i 0.824925 0.124337i
\(124\) 1.89979 1.76275i 0.170606 0.158300i
\(125\) 2.66829 + 11.6906i 0.238659 + 1.04563i
\(126\) 11.6901 + 15.3914i 1.04144 + 1.37118i
\(127\) −1.50816 + 6.60769i −0.133828 + 0.586337i 0.862891 + 0.505391i \(0.168652\pi\)
−0.996718 + 0.0809469i \(0.974206\pi\)
\(128\) −5.51364 9.54991i −0.487342 0.844100i
\(129\) −0.145083 + 0.251291i −0.0127739 + 0.0221250i
\(130\) 2.13323 + 1.97935i 0.187097 + 0.173601i
\(131\) 9.22938 + 6.29249i 0.806375 + 0.549777i 0.894884 0.446298i \(-0.147258\pi\)
−0.0885094 + 0.996075i \(0.528210\pi\)
\(132\) −6.92402 8.68245i −0.602659 0.755710i
\(133\) 16.3832 2.07473i 1.42061 0.179902i
\(134\) −6.39628 + 8.02068i −0.552554 + 0.692881i
\(135\) 4.68511 1.44517i 0.403230 0.124380i
\(136\) −3.97222 10.1211i −0.340615 0.867873i
\(137\) −1.72592 + 23.0308i −0.147456 + 1.96766i 0.0890503 + 0.996027i \(0.471617\pi\)
−0.236506 + 0.971630i \(0.576002\pi\)
\(138\) −2.69181 + 6.85861i −0.229142 + 0.583844i
\(139\) −1.89998 0.914984i −0.161155 0.0776080i 0.351568 0.936162i \(-0.385649\pi\)
−0.512722 + 0.858554i \(0.671363\pi\)
\(140\) 4.03807 + 2.89522i 0.341280 + 0.244690i
\(141\) −26.3588 + 12.6937i −2.21981 + 1.06900i
\(142\) −0.0783769 1.04587i −0.00657725 0.0877672i
\(143\) 3.47540 + 1.07202i 0.290627 + 0.0896466i
\(144\) −16.9482 + 11.5551i −1.41235 + 0.962925i
\(145\) 13.5327 + 2.03973i 1.12383 + 0.169390i
\(146\) −7.63531 −0.631903
\(147\) −18.3171 3.65331i −1.51077 0.301320i
\(148\) 10.1018 0.830364
\(149\) 8.26669 + 1.24600i 0.677234 + 0.102077i 0.478648 0.878007i \(-0.341127\pi\)
0.198586 + 0.980084i \(0.436365\pi\)
\(150\) −9.01783 + 6.14825i −0.736303 + 0.502003i
\(151\) −5.13653 1.58441i −0.418005 0.128937i 0.0786160 0.996905i \(-0.474950\pi\)
−0.496621 + 0.867967i \(0.665426\pi\)
\(152\) 0.707721 + 9.44389i 0.0574038 + 0.766000i
\(153\) −26.5978 + 12.8088i −2.15030 + 1.03553i
\(154\) 16.8076 + 2.94110i 1.35440 + 0.237000i
\(155\) 3.34858 + 1.61259i 0.268964 + 0.129526i
\(156\) −1.11554 + 2.84236i −0.0893151 + 0.227571i
\(157\) −1.28470 + 17.1432i −0.102530 + 1.36817i 0.674297 + 0.738460i \(0.264447\pi\)
−0.776828 + 0.629713i \(0.783172\pi\)
\(158\) 2.32034 + 5.91214i 0.184597 + 0.470345i
\(159\) 3.73573 1.15232i 0.296262 0.0913848i
\(160\) −5.92921 + 7.43499i −0.468745 + 0.587788i
\(161\) −1.41416 3.86971i −0.111452 0.304976i
\(162\) −4.85062 6.08248i −0.381100 0.477885i
\(163\) 14.8531 + 10.1267i 1.16338 + 0.793181i 0.981748 0.190185i \(-0.0609089\pi\)
0.181634 + 0.983366i \(0.441861\pi\)
\(164\) 2.90877 + 2.69894i 0.227136 + 0.210752i
\(165\) 7.96303 13.7924i 0.619921 1.07374i
\(166\) 9.06969 + 15.7092i 0.703945 + 1.21927i
\(167\) 0.585385 2.56474i 0.0452985 0.198466i −0.947215 0.320598i \(-0.896116\pi\)
0.992514 + 0.122132i \(0.0389733\pi\)
\(168\) 2.62958 10.3835i 0.202876 0.801102i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −15.2866 + 14.1839i −1.17243 + 1.08786i
\(171\) 25.4266 3.83245i 1.94442 0.293075i
\(172\) −0.123055 + 0.0185475i −0.00938282 + 0.00141423i
\(173\) 12.9417 12.0082i 0.983941 0.912964i −0.0122710 0.999925i \(-0.503906\pi\)
0.996212 + 0.0869611i \(0.0277156\pi\)
\(174\) 8.77993 + 38.4674i 0.665605 + 2.91621i
\(175\) 1.49829 5.91633i 0.113260 0.447232i
\(176\) −4.02965 + 17.6551i −0.303747 + 1.33080i
\(177\) 10.1210 + 17.5300i 0.760738 + 1.31764i
\(178\) 6.63382 11.4901i 0.497226 0.861221i
\(179\) 9.08166 + 8.42655i 0.678795 + 0.629830i 0.942277 0.334835i \(-0.108680\pi\)
−0.263482 + 0.964664i \(0.584871\pi\)
\(180\) 6.39241 + 4.35827i 0.476462 + 0.324846i
\(181\) −4.02044 5.04147i −0.298837 0.374729i 0.609630 0.792686i \(-0.291318\pi\)
−0.908467 + 0.417956i \(0.862746\pi\)
\(182\) −1.61033 4.40650i −0.119366 0.326632i
\(183\) −22.5718 + 28.3041i −1.66855 + 2.09230i
\(184\) 2.25775 0.696423i 0.166443 0.0513410i
\(185\) 5.29270 + 13.4856i 0.389127 + 0.991479i
\(186\) −0.800762 + 10.6854i −0.0587147 + 0.783493i
\(187\) −9.52165 + 24.2608i −0.696292 + 1.77412i
\(188\) −11.3046 5.44400i −0.824471 0.397044i
\(189\) −7.78607 1.36245i −0.566353 0.0991039i
\(190\) 16.3651 7.88101i 1.18725 0.571749i
\(191\) 0.374122 + 4.99231i 0.0270705 + 0.361231i 0.994246 + 0.107121i \(0.0341633\pi\)
−0.967175 + 0.254109i \(0.918218\pi\)
\(192\) −0.808201 0.249297i −0.0583269 0.0179915i
\(193\) 19.2991 13.1579i 1.38918 0.947125i 0.389518 0.921019i \(-0.372642\pi\)
0.999659 0.0261056i \(-0.00831063\pi\)
\(194\) −32.1001 4.83831i −2.30465 0.347371i
\(195\) −4.37893 −0.313582
\(196\) −3.67298 7.11874i −0.262356 0.508481i
\(197\) −12.0038 −0.855232 −0.427616 0.903960i \(-0.640646\pi\)
−0.427616 + 0.903960i \(0.640646\pi\)
\(198\) 26.2718 + 3.95984i 1.86706 + 0.281413i
\(199\) 0.393665 0.268396i 0.0279062 0.0190261i −0.549287 0.835634i \(-0.685100\pi\)
0.577193 + 0.816608i \(0.304148\pi\)
\(200\) 3.34447 + 1.03163i 0.236489 + 0.0729473i
\(201\) −1.15361 15.3938i −0.0813691 1.08580i
\(202\) −2.69868 + 1.29962i −0.189879 + 0.0914407i
\(203\) −17.9309 12.8561i −1.25850 0.902322i
\(204\) −19.7139 9.49369i −1.38025 0.664691i
\(205\) −2.07899 + 5.29717i −0.145203 + 0.369971i
\(206\) −1.25286 + 16.7183i −0.0872911 + 1.16482i
\(207\) −2.34375 5.97177i −0.162902 0.415067i
\(208\) 4.75795 1.46763i 0.329905 0.101762i
\(209\) 14.1539 17.7484i 0.979043 1.22768i
\(210\) −20.3811 + 2.58101i −1.40643 + 0.178107i
\(211\) 4.10898 + 5.15250i 0.282874 + 0.354712i 0.902886 0.429879i \(-0.141444\pi\)
−0.620013 + 0.784592i \(0.712873\pi\)
\(212\) 1.38531 + 0.944485i 0.0951432 + 0.0648675i
\(213\) 1.15689 + 1.07344i 0.0792687 + 0.0735506i
\(214\) 3.91249 6.77663i 0.267452 0.463241i
\(215\) −0.0892329 0.154556i −0.00608563 0.0105406i
\(216\) 1.00867 4.41929i 0.0686316 0.300695i
\(217\) −3.62412 4.77160i −0.246021 0.323917i
\(218\) −6.38966 27.9949i −0.432763 1.89606i
\(219\) 8.42221 7.81466i 0.569120 0.528066i
\(220\) 6.75397 1.01800i 0.455353 0.0686334i
\(221\) 7.08590 1.06803i 0.476649 0.0718433i
\(222\) −30.6175 + 28.4089i −2.05492 + 1.90668i
\(223\) 3.76818 + 16.5095i 0.252336 + 1.10556i 0.929238 + 0.369483i \(0.120465\pi\)
−0.676902 + 0.736074i \(0.736678\pi\)
\(224\) 13.9663 6.32373i 0.933165 0.422522i
\(225\) 2.11463 9.26479i 0.140975 0.617653i
\(226\) 6.11708 + 10.5951i 0.406902 + 0.704775i
\(227\) −4.47485 + 7.75066i −0.297006 + 0.514430i −0.975450 0.220223i \(-0.929321\pi\)
0.678444 + 0.734653i \(0.262655\pi\)
\(228\) 13.9710 + 12.9632i 0.925254 + 0.858510i
\(229\) 0.782535 + 0.533523i 0.0517113 + 0.0352562i 0.588900 0.808206i \(-0.299561\pi\)
−0.537188 + 0.843462i \(0.680514\pi\)
\(230\) −2.82542 3.54296i −0.186303 0.233616i
\(231\) −21.5500 + 13.9582i −1.41788 + 0.918383i
\(232\) 7.88889 9.89236i 0.517931 0.649465i
\(233\) −0.854066 + 0.263444i −0.0559517 + 0.0172588i −0.322605 0.946534i \(-0.604558\pi\)
0.266653 + 0.963793i \(0.414082\pi\)
\(234\) −2.66886 6.80015i −0.174469 0.444539i
\(235\) 1.34468 17.9435i 0.0877174 1.17051i
\(236\) −3.17160 + 8.08111i −0.206454 + 0.526036i
\(237\) −8.61049 4.14660i −0.559312 0.269350i
\(238\) 32.3508 9.14753i 2.09699 0.592947i
\(239\) −13.1323 + 6.32417i −0.849456 + 0.409076i −0.807375 0.590038i \(-0.799113\pi\)
−0.0420801 + 0.999114i \(0.513398\pi\)
\(240\) −1.62937 21.7424i −0.105175 1.40347i
\(241\) −25.3421 7.81701i −1.63243 0.503538i −0.662941 0.748672i \(-0.730692\pi\)
−0.969489 + 0.245134i \(0.921168\pi\)
\(242\) 3.26369 2.22515i 0.209798 0.143038i
\(243\) 20.4385 + 3.08061i 1.31113 + 0.197621i
\(244\) −15.5262 −0.993963
\(245\) 7.57887 8.63307i 0.484196 0.551546i
\(246\) −16.4063 −1.04603
\(247\) −6.17202 0.930282i −0.392716 0.0591924i
\(248\) 2.83910 1.93566i 0.180283 0.122915i
\(249\) −26.0826 8.04541i −1.65292 0.509857i
\(250\) −1.58900 21.2037i −0.100497 1.34104i
\(251\) 20.3936 9.82106i 1.28723 0.619900i 0.339995 0.940427i \(-0.389574\pi\)
0.947239 + 0.320528i \(0.103860\pi\)
\(252\) −5.97949 10.9463i −0.376672 0.689550i
\(253\) −5.10271 2.45733i −0.320804 0.154491i
\(254\) 4.39077 11.1875i 0.275501 0.701966i
\(255\) 2.34497 31.2914i 0.146847 1.95954i
\(256\) 7.37546 + 18.7924i 0.460966 + 1.17452i
\(257\) 12.3021 3.79471i 0.767386 0.236707i 0.113743 0.993510i \(-0.463716\pi\)
0.653643 + 0.756803i \(0.273240\pi\)
\(258\) 0.320805 0.402277i 0.0199725 0.0250447i
\(259\) 2.29523 23.2425i 0.142618 1.44422i
\(260\) −1.17092 1.46828i −0.0726172 0.0910591i
\(261\) −28.3852 19.3527i −1.75700 1.19790i
\(262\) −14.5200 13.4726i −0.897050 0.832341i
\(263\) −1.42893 + 2.47499i −0.0881119 + 0.152614i −0.906713 0.421748i \(-0.861417\pi\)
0.818601 + 0.574362i \(0.194750\pi\)
\(264\) −7.36211 12.7515i −0.453106 0.784803i
\(265\) −0.535045 + 2.34419i −0.0328675 + 0.144002i
\(266\) −29.2751 0.691972i −1.79497 0.0424275i
\(267\) 4.44252 + 19.4639i 0.271878 + 1.19117i
\(268\) 4.85317 4.50309i 0.296455 0.275070i
\(269\) −7.50846 + 1.13172i −0.457799 + 0.0690021i −0.373894 0.927472i \(-0.621977\pi\)
−0.0839054 + 0.996474i \(0.526739\pi\)
\(270\) −8.59694 + 1.29578i −0.523193 + 0.0788587i
\(271\) −16.6611 + 15.4592i −1.01209 + 0.939080i −0.998149 0.0608232i \(-0.980627\pi\)
−0.0139386 + 0.999903i \(0.504437\pi\)
\(272\) 7.93963 + 34.7858i 0.481411 + 2.10920i
\(273\) 6.28630 + 3.21248i 0.380464 + 0.194428i
\(274\) 9.11302 39.9267i 0.550537 2.41206i
\(275\) −4.19481 7.26562i −0.252956 0.438133i
\(276\) 2.37744 4.11784i 0.143105 0.247865i
\(277\) 22.4111 + 20.7945i 1.34655 + 1.24942i 0.942299 + 0.334771i \(0.108659\pi\)
0.404253 + 0.914647i \(0.367531\pi\)
\(278\) 3.08966 + 2.10650i 0.185306 + 0.126339i
\(279\) −5.81707 7.29437i −0.348259 0.436703i
\(280\) 4.72206 + 4.59380i 0.282197 + 0.274532i
\(281\) 7.73931 9.70479i 0.461689 0.578939i −0.495425 0.868650i \(-0.664988\pi\)
0.957114 + 0.289711i \(0.0935593\pi\)
\(282\) 49.5730 15.2912i 2.95203 0.910580i
\(283\) 10.0593 + 25.6307i 0.597964 + 1.52359i 0.833956 + 0.551832i \(0.186071\pi\)
−0.235992 + 0.971755i \(0.575834\pi\)
\(284\) −0.0505803 + 0.674947i −0.00300139 + 0.0400508i
\(285\) −9.98554 + 25.4427i −0.591492 + 1.50710i
\(286\) −5.81053 2.79820i −0.343584 0.165461i
\(287\) 6.87068 6.07933i 0.405563 0.358851i
\(288\) 21.5080 10.3577i 1.26737 0.610335i
\(289\) 2.56703 + 34.2546i 0.151002 + 2.01498i
\(290\) −23.1895 7.15303i −1.36174 0.420040i
\(291\) 40.3603 27.5172i 2.36596 1.61309i
\(292\) 4.87239 + 0.734395i 0.285135 + 0.0429772i
\(293\) 3.32556 0.194281 0.0971406 0.995271i \(-0.469030\pi\)
0.0971406 + 0.995271i \(0.469030\pi\)
\(294\) 31.1522 + 11.2468i 1.81683 + 0.655925i
\(295\) −12.4497 −0.724851
\(296\) 13.2442 + 1.99624i 0.769801 + 0.116029i
\(297\) −8.97769 + 6.12088i −0.520938 + 0.355170i
\(298\) −14.1657 4.36955i −0.820598 0.253121i
\(299\) 0.116371 + 1.55287i 0.00672992 + 0.0898046i
\(300\) 6.34599 3.05607i 0.366386 0.176442i
\(301\) 0.0147153 + 0.287341i 0.000848176 + 0.0165620i
\(302\) 8.58779 + 4.13566i 0.494172 + 0.237981i
\(303\) 1.64666 4.19563i 0.0945984 0.241033i
\(304\) 2.32251 30.9917i 0.133205 1.77750i
\(305\) −8.13472 20.7269i −0.465793 1.18682i
\(306\) 50.0224 15.4299i 2.85959 0.882067i
\(307\) −9.23314 + 11.5780i −0.526963 + 0.660791i −0.972071 0.234686i \(-0.924594\pi\)
0.445108 + 0.895477i \(0.353165\pi\)
\(308\) −10.4427 3.49345i −0.595028 0.199058i
\(309\) −15.7290 19.7236i −0.894793 1.12204i
\(310\) −5.44530 3.71254i −0.309272 0.210858i
\(311\) −0.884555 0.820747i −0.0501585 0.0465403i 0.654695 0.755893i \(-0.272797\pi\)
−0.704854 + 0.709353i \(0.748987\pi\)
\(312\) −2.02424 + 3.50608i −0.114600 + 0.198493i
\(313\) −10.0964 17.4875i −0.570684 0.988453i −0.996496 0.0836416i \(-0.973345\pi\)
0.425812 0.904812i \(-0.359988\pi\)
\(314\) 6.78333 29.7197i 0.382806 1.67718i
\(315\) 11.4800 13.7175i 0.646826 0.772896i
\(316\) −0.912049 3.99595i −0.0513067 0.224790i
\(317\) −0.350735 + 0.325434i −0.0196992 + 0.0182782i −0.689961 0.723847i \(-0.742372\pi\)
0.670262 + 0.742125i \(0.266182\pi\)
\(318\) −6.85486 + 1.03320i −0.384401 + 0.0579392i
\(319\) −29.9908 + 4.52038i −1.67916 + 0.253093i
\(320\) 0.381328 0.353820i 0.0213169 0.0197792i
\(321\) 2.62010 + 11.4794i 0.146240 + 0.640719i
\(322\) 1.45692 + 7.15900i 0.0811909 + 0.398956i
\(323\) 9.95289 43.6065i 0.553794 2.42633i
\(324\) 2.51033 + 4.34802i 0.139463 + 0.241557i
\(325\) −1.15338 + 1.99771i −0.0639778 + 0.110813i
\(326\) −23.3674 21.6818i −1.29420 1.20084i
\(327\) 35.7007 + 24.3403i 1.97425 + 1.34602i
\(328\) 3.28025 + 4.11330i 0.181121 + 0.227119i
\(329\) −15.0942 + 24.7729i −0.832169 + 1.36577i
\(330\) −17.6077 + 22.0794i −0.969273 + 1.21543i
\(331\) −7.68521 + 2.37057i −0.422417 + 0.130298i −0.498674 0.866790i \(-0.666179\pi\)
0.0762565 + 0.997088i \(0.475703\pi\)
\(332\) −4.27675 10.8970i −0.234717 0.598050i
\(333\) 2.71768 36.2649i 0.148928 1.98730i
\(334\) −1.70426 + 4.34237i −0.0932527 + 0.237604i
\(335\) 8.55422 + 4.11949i 0.467367 + 0.225072i
\(336\) −13.6116 + 32.4084i −0.742576 + 1.76802i
\(337\) 18.3234 8.82407i 0.998137 0.480678i 0.137831 0.990456i \(-0.455987\pi\)
0.860306 + 0.509778i \(0.170272\pi\)
\(338\) 0.132514 + 1.76827i 0.00720780 + 0.0961814i
\(339\) −17.5915 5.42625i −0.955438 0.294714i
\(340\) 11.1193 7.58098i 0.603026 0.411136i
\(341\) −8.14470 1.22762i −0.441060 0.0664792i
\(342\) −45.5966 −2.46558
\(343\) −17.2135 + 6.83344i −0.929441 + 0.368971i
\(344\) −0.164998 −0.00889610
\(345\) 6.74280 + 1.01631i 0.363020 + 0.0547164i
\(346\) −25.8659 + 17.6351i −1.39056 + 0.948069i
\(347\) 2.59173 + 0.799444i 0.139132 + 0.0429164i 0.363539 0.931579i \(-0.381568\pi\)
−0.224407 + 0.974495i \(0.572045\pi\)
\(348\) −1.90287 25.3920i −0.102005 1.36116i
\(349\) −22.8943 + 11.0253i −1.22550 + 0.590171i −0.930839 0.365430i \(-0.880922\pi\)
−0.294664 + 0.955601i \(0.595208\pi\)
\(350\) −4.19074 + 9.97786i −0.224005 + 0.533339i
\(351\) 2.69171 + 1.29626i 0.143673 + 0.0691892i
\(352\) 7.69960 19.6183i 0.410390 1.04566i
\(353\) −2.40121 + 32.0419i −0.127804 + 1.70542i 0.453110 + 0.891455i \(0.350315\pi\)
−0.580913 + 0.813965i \(0.697304\pi\)
\(354\) −13.1134 33.4124i −0.696970 1.77585i
\(355\) −0.927532 + 0.286106i −0.0492283 + 0.0151849i
\(356\) −5.33847 + 6.69423i −0.282938 + 0.354793i
\(357\) −26.3225 + 43.2010i −1.39313 + 2.28644i
\(358\) −13.6970 17.1755i −0.723908 0.907752i
\(359\) −19.5856 13.3532i −1.03369 0.704757i −0.0773461 0.997004i \(-0.524645\pi\)
−0.956343 + 0.292247i \(0.905597\pi\)
\(360\) 7.51963 + 6.97720i 0.396319 + 0.367731i
\(361\) −9.97960 + 17.2852i −0.525242 + 0.909746i
\(362\) 5.71715 + 9.90239i 0.300487 + 0.520458i
\(363\) −1.32263 + 5.79483i −0.0694202 + 0.304150i
\(364\) 0.603780 + 2.96685i 0.0316467 + 0.155505i
\(365\) 1.57243 + 6.88925i 0.0823045 + 0.360600i
\(366\) 47.0583 43.6637i 2.45978 2.28234i
\(367\) 15.2825 2.30347i 0.797741 0.120240i 0.262492 0.964934i \(-0.415456\pi\)
0.535249 + 0.844694i \(0.320218\pi\)
\(368\) −7.66705 + 1.15562i −0.399673 + 0.0602410i
\(369\) 10.4716 9.71620i 0.545128 0.505805i
\(370\) −5.71630 25.0447i −0.297176 1.30201i
\(371\) 2.48785 2.97275i 0.129163 0.154337i
\(372\) 1.53876 6.74177i 0.0797812 0.349544i
\(373\) −2.28139 3.95149i −0.118126 0.204600i 0.800899 0.598799i \(-0.204355\pi\)
−0.919025 + 0.394199i \(0.871022\pi\)
\(374\) 23.1073 40.0230i 1.19485 2.06954i
\(375\) 23.4545 + 21.7626i 1.21119 + 1.12382i
\(376\) −13.7453 9.37137i −0.708858 0.483291i
\(377\) 5.19941 + 6.51986i 0.267783 + 0.335790i
\(378\) 13.2922 + 4.44671i 0.683678 + 0.228714i
\(379\) 16.4183 20.5879i 0.843351 1.05753i −0.154231 0.988035i \(-0.549290\pi\)
0.997582 0.0694939i \(-0.0221384\pi\)
\(380\) −11.2012 + 3.45512i −0.574611 + 0.177244i
\(381\) 6.60701 + 16.8344i 0.338488 + 0.862452i
\(382\) 0.663404 8.85251i 0.0339427 0.452934i
\(383\) −12.3249 + 31.4033i −0.629772 + 1.60463i 0.157146 + 0.987575i \(0.449771\pi\)
−0.786918 + 0.617057i \(0.788325\pi\)
\(384\) −26.5099 12.7665i −1.35283 0.651487i
\(385\) −0.807665 15.7710i −0.0411624 0.803764i
\(386\) −37.3169 + 17.9709i −1.89938 + 0.914694i
\(387\) 0.0334792 + 0.446748i 0.00170184 + 0.0227095i
\(388\) 20.0190 + 6.17503i 1.01631 + 0.313490i
\(389\) 11.3327 7.72652i 0.574592 0.391750i −0.240873 0.970557i \(-0.577434\pi\)
0.815465 + 0.578806i \(0.196481\pi\)
\(390\) 7.67813 + 1.15729i 0.388797 + 0.0586017i
\(391\) −11.1590 −0.564332
\(392\) −3.40878 10.0590i −0.172170 0.508055i
\(393\) 29.8055 1.50349
\(394\) 21.0477 + 3.17243i 1.06037 + 0.159825i
\(395\) 4.85660 3.31117i 0.244362 0.166603i
\(396\) −16.3842 5.05386i −0.823337 0.253966i
\(397\) −0.815652 10.8841i −0.0409364 0.546259i −0.979538 0.201257i \(-0.935497\pi\)
0.938602 0.345002i \(-0.112122\pi\)
\(398\) −0.761196 + 0.366573i −0.0381553 + 0.0183746i
\(399\) 33.0004 29.1995i 1.65209 1.46180i
\(400\) −10.3483 4.98346i −0.517413 0.249173i
\(401\) 7.12247 18.1478i 0.355679 0.906256i −0.635303 0.772263i \(-0.719125\pi\)
0.990982 0.133993i \(-0.0427799\pi\)
\(402\) −2.04561 + 27.2968i −0.102026 + 1.36144i
\(403\) 0.827392 + 2.10816i 0.0412153 + 0.105015i
\(404\) 1.84714 0.569766i 0.0918985 0.0283469i
\(405\) −4.48921 + 5.62929i −0.223070 + 0.279722i
\(406\) 28.0428 + 27.2811i 1.39174 + 1.35394i
\(407\) −20.0175 25.1012i −0.992232 1.24422i
\(408\) −23.9701 16.3426i −1.18670 0.809077i
\(409\) −9.56957 8.87926i −0.473185 0.439051i 0.407181 0.913348i \(-0.366512\pi\)
−0.880365 + 0.474297i \(0.842702\pi\)
\(410\) 5.04532 8.73875i 0.249171 0.431576i
\(411\) 30.8124 + 53.3687i 1.51986 + 2.63248i
\(412\) 2.40753 10.5481i 0.118611 0.519667i
\(413\) 17.8726 + 9.13340i 0.879452 + 0.449425i
\(414\) 2.53133 + 11.0905i 0.124408 + 0.545067i
\(415\) 12.3064 11.4186i 0.604096 0.560519i
\(416\) −5.72995 + 0.863652i −0.280934 + 0.0423440i
\(417\) −5.56406 + 0.838648i −0.272473 + 0.0410688i
\(418\) −29.5084 + 27.3798i −1.44330 + 1.33919i
\(419\) −0.313109 1.37182i −0.0152964 0.0670178i 0.966704 0.255898i \(-0.0823712\pi\)
−0.982000 + 0.188881i \(0.939514\pi\)
\(420\) 13.2542 + 0.313288i 0.646740 + 0.0152869i
\(421\) 1.87663 8.22207i 0.0914615 0.400719i −0.908387 0.418131i \(-0.862685\pi\)
0.999848 + 0.0174115i \(0.00554254\pi\)
\(422\) −5.84305 10.1205i −0.284435 0.492657i
\(423\) −22.5849 + 39.1182i −1.09811 + 1.90199i
\(424\) 1.62959 + 1.51204i 0.0791398 + 0.0734310i
\(425\) −13.6578 9.31171i −0.662499 0.451684i
\(426\) −1.74482 2.18794i −0.0845370 0.106006i
\(427\) −3.52770 + 35.7230i −0.170717 + 1.72876i
\(428\) −3.14851 + 3.94811i −0.152189 + 0.190839i
\(429\) 9.27330 2.86043i 0.447719 0.138103i
\(430\) 0.115616 + 0.294585i 0.00557551 + 0.0142062i
\(431\) 1.40169 18.7043i 0.0675170 0.900952i −0.855897 0.517147i \(-0.826994\pi\)
0.923414 0.383806i \(-0.125387\pi\)
\(432\) −5.43467 + 13.8473i −0.261476 + 0.666229i
\(433\) −18.1949 8.76222i −0.874393 0.421086i −0.0578198 0.998327i \(-0.518415\pi\)
−0.816574 + 0.577241i \(0.804129\pi\)
\(434\) 5.09356 + 9.32445i 0.244499 + 0.447588i
\(435\) 32.9005 15.8441i 1.57746 0.759664i
\(436\) 1.38483 + 18.4792i 0.0663212 + 0.884995i
\(437\) 9.28793 + 2.86495i 0.444302 + 0.137049i
\(438\) −16.8330 + 11.4766i −0.804313 + 0.548371i
\(439\) −2.67515 0.403214i −0.127678 0.0192444i 0.0848924 0.996390i \(-0.472945\pi\)
−0.212570 + 0.977146i \(0.568183\pi\)
\(440\) 9.05608 0.431732
\(441\) −26.5440 + 11.2706i −1.26400 + 0.536697i
\(442\) −12.7069 −0.604404
\(443\) −14.5886 2.19887i −0.693124 0.104472i −0.206973 0.978347i \(-0.566361\pi\)
−0.486151 + 0.873875i \(0.661599\pi\)
\(444\) 22.2707 15.1839i 1.05692 0.720597i
\(445\) −11.7336 3.61933i −0.556225 0.171573i
\(446\) −2.24399 29.9440i −0.106256 1.41789i
\(447\) 20.0978 9.67861i 0.950595 0.457782i
\(448\) −0.806997 + 0.228187i −0.0381270 + 0.0107808i
\(449\) 23.6723 + 11.4000i 1.11716 + 0.537997i 0.899015 0.437918i \(-0.144284\pi\)
0.218148 + 0.975916i \(0.429998\pi\)
\(450\) −6.15640 + 15.6863i −0.290216 + 0.739457i
\(451\) 0.942435 12.5759i 0.0443775 0.592177i
\(452\) −2.88447 7.34951i −0.135674 0.345692i
\(453\) −13.7057 + 4.22763i −0.643948 + 0.198632i
\(454\) 9.89471 12.4076i 0.464382 0.582316i
\(455\) −3.64430 + 2.36046i −0.170848 + 0.110660i
\(456\) 15.7553 + 19.7565i 0.737808 + 0.925182i
\(457\) −0.893655 0.609283i −0.0418034 0.0285011i 0.542238 0.840225i \(-0.317577\pi\)
−0.584041 + 0.811724i \(0.698529\pi\)
\(458\) −1.23111 1.14231i −0.0575262 0.0533765i
\(459\) −10.7044 + 18.5405i −0.499638 + 0.865398i
\(460\) 1.46223 + 2.53266i 0.0681770 + 0.118086i
\(461\) 1.06819 4.68006i 0.0497508 0.217972i −0.943942 0.330112i \(-0.892913\pi\)
0.993692 + 0.112140i \(0.0357705\pi\)
\(462\) 41.4752 18.7793i 1.92960 0.873693i
\(463\) −2.50887 10.9921i −0.116597 0.510845i −0.999172 0.0406741i \(-0.987049\pi\)
0.882575 0.470171i \(-0.155808\pi\)
\(464\) −30.4380 + 28.2423i −1.41305 + 1.31112i
\(465\) 9.80624 1.47805i 0.454753 0.0685431i
\(466\) 1.56717 0.236212i 0.0725976 0.0109423i
\(467\) −1.59438 + 1.47937i −0.0737790 + 0.0684569i −0.716200 0.697895i \(-0.754120\pi\)
0.642421 + 0.766352i \(0.277930\pi\)
\(468\) 1.04904 + 4.59614i 0.0484918 + 0.212457i
\(469\) −9.25811 12.1894i −0.427500 0.562856i
\(470\) −7.10003 + 31.1073i −0.327500 + 1.43487i
\(471\) 22.9354 + 39.7253i 1.05681 + 1.83045i
\(472\) −5.75511 + 9.96814i −0.264900 + 0.458821i
\(473\) 0.289929 + 0.269015i 0.0133310 + 0.0123693i
\(474\) 14.0020 + 9.54638i 0.643132 + 0.438480i
\(475\) 8.97709 + 11.2569i 0.411897 + 0.516503i
\(476\) −21.5242 + 2.72577i −0.986558 + 0.124935i
\(477\) 3.76333 4.71907i 0.172311 0.216071i
\(478\) 24.6978 7.61828i 1.12965 0.348452i
\(479\) −13.1900 33.6075i −0.602666 1.53557i −0.827673 0.561211i \(-0.810336\pi\)
0.225007 0.974357i \(-0.427759\pi\)
\(480\) −1.89624 + 25.3035i −0.0865510 + 1.15494i
\(481\) −3.22507 + 8.21734i −0.147050 + 0.374678i
\(482\) 42.3696 + 20.4041i 1.92988 + 0.929383i
\(483\) −8.93424 6.40567i −0.406522 0.291468i
\(484\) −2.29671 + 1.10604i −0.104396 + 0.0502745i
\(485\) 2.24519 + 29.9600i 0.101949 + 1.36041i
\(486\) −35.0232 10.8032i −1.58869 0.490044i
\(487\) −14.9291 + 10.1785i −0.676500 + 0.461230i −0.852202 0.523213i \(-0.824733\pi\)
0.175701 + 0.984444i \(0.443781\pi\)
\(488\) −20.3559 3.06816i −0.921468 0.138889i
\(489\) 47.9668 2.16913
\(490\) −15.5706 + 13.1345i −0.703407 + 0.593354i
\(491\) −33.4695 −1.51046 −0.755228 0.655462i \(-0.772474\pi\)
−0.755228 + 0.655462i \(0.772474\pi\)
\(492\) 10.4695 + 1.57802i 0.472001 + 0.0711428i
\(493\) −49.3746 + 33.6630i −2.22372 + 1.51611i
\(494\) 10.5763 + 3.26236i 0.475851 + 0.146781i
\(495\) −1.83754 24.5202i −0.0825912 1.10210i
\(496\) −10.1597 + 4.89263i −0.456182 + 0.219686i
\(497\) 1.54144 + 0.269731i 0.0691431 + 0.0120991i
\(498\) 43.6076 + 21.0003i 1.95410 + 0.941046i
\(499\) 8.24041 20.9962i 0.368891 0.939920i −0.619086 0.785323i \(-0.712497\pi\)
0.987978 0.154597i \(-0.0494079\pi\)
\(500\) −1.02546 + 13.6838i −0.0458598 + 0.611956i
\(501\) −2.56448 6.53418i −0.114572 0.291926i
\(502\) −38.3543 + 11.8307i −1.71184 + 0.528031i
\(503\) 13.9042 17.4353i 0.619956 0.777400i −0.368382 0.929674i \(-0.620088\pi\)
0.988338 + 0.152274i \(0.0486597\pi\)
\(504\) −5.67641 15.5329i −0.252847 0.691890i
\(505\) 1.72840 + 2.16734i 0.0769128 + 0.0964455i
\(506\) 8.29778 + 5.65733i 0.368881 + 0.251499i
\(507\) −1.95598 1.81488i −0.0868681 0.0806019i
\(508\) −3.87798 + 6.71686i −0.172058 + 0.298012i
\(509\) 12.0860 + 20.9335i 0.535701 + 0.927861i 0.999129 + 0.0417265i \(0.0132858\pi\)
−0.463428 + 0.886134i \(0.653381\pi\)
\(510\) −12.3816 + 54.2474i −0.548267 + 2.40212i
\(511\) 2.79676 11.0436i 0.123722 0.488542i
\(512\) −3.05815 13.3986i −0.135152 0.592142i
\(513\) 13.6697 12.6836i 0.603531 0.559995i
\(514\) −22.5738 + 3.40245i −0.995686 + 0.150076i
\(515\) 15.3427 2.31255i 0.676082 0.101903i
\(516\) −0.243411 + 0.225852i −0.0107156 + 0.00994260i
\(517\) 8.87355 + 38.8776i 0.390258 + 1.70983i
\(518\) −10.1672 + 40.1473i −0.446720 + 1.76397i
\(519\) 10.4823 45.9261i 0.460123 2.01593i
\(520\) −1.24500 2.15641i −0.0545969 0.0945646i
\(521\) −10.0497 + 17.4066i −0.440285 + 0.762596i −0.997710 0.0676309i \(-0.978456\pi\)
0.557425 + 0.830227i \(0.311789\pi\)
\(522\) 44.6568 + 41.4354i 1.95457 + 1.81358i
\(523\) −9.14058 6.23194i −0.399689 0.272504i 0.346749 0.937958i \(-0.387286\pi\)
−0.746439 + 0.665454i \(0.768238\pi\)
\(524\) 7.96994 + 9.99399i 0.348169 + 0.436590i
\(525\) −5.58960 15.2954i −0.243950 0.667544i
\(526\) 3.15964 3.96206i 0.137767 0.172754i
\(527\) −15.5078 + 4.78352i −0.675529 + 0.208373i
\(528\) 17.6533 + 44.9798i 0.768260 + 1.95749i
\(529\) −1.53758 + 20.5175i −0.0668511 + 0.892067i
\(530\) 1.55770 3.96895i 0.0676621 0.172400i
\(531\) 28.1575 + 13.5599i 1.22193 + 0.588450i
\(532\) 18.6150 + 3.25737i 0.807063 + 0.141225i
\(533\) −3.12410 + 1.50449i −0.135320 + 0.0651666i
\(534\) −2.64557 35.3027i −0.114485 1.52770i
\(535\) −6.92021 2.13460i −0.299187 0.0922869i
\(536\) 7.25270 4.94481i 0.313269 0.213583i
\(537\) 32.6875 + 4.92685i 1.41057 + 0.212609i
\(538\) 13.4646 0.580501
\(539\) −10.4105 + 23.2330i −0.448411 + 1.00072i
\(540\) 5.61068 0.241445
\(541\) 9.51484 + 1.43413i 0.409075 + 0.0616582i 0.350357 0.936616i \(-0.386060\pi\)
0.0587186 + 0.998275i \(0.481299\pi\)
\(542\) 33.2996 22.7033i 1.43034 0.975189i
\(543\) −16.4414 5.07149i −0.705566 0.217638i
\(544\) −3.10312 41.4082i −0.133045 1.77536i
\(545\) −23.9436 + 11.5306i −1.02563 + 0.493918i
\(546\) −10.1736 7.29423i −0.435388 0.312164i
\(547\) 30.4717 + 14.6744i 1.30288 + 0.627432i 0.951167 0.308678i \(-0.0998865\pi\)
0.351709 + 0.936109i \(0.385601\pi\)
\(548\) −9.65568 + 24.6023i −0.412470 + 1.05096i
\(549\) −4.17699 + 55.7381i −0.178270 + 2.37884i
\(550\) 5.43508 + 13.8484i 0.231752 + 0.590496i
\(551\) 49.7386 15.3423i 2.11894 0.653606i
\(552\) 3.93071 4.92896i 0.167302 0.209790i
\(553\) −9.40119 + 1.19054i −0.399779 + 0.0506271i
\(554\) −33.8005 42.3845i −1.43605 1.80075i
\(555\) 31.9385 + 21.7753i 1.35571 + 0.924309i
\(556\) −1.76902 1.64141i −0.0750233 0.0696115i
\(557\) 8.02814 13.9052i 0.340163 0.589180i −0.644299 0.764773i \(-0.722851\pi\)
0.984463 + 0.175593i \(0.0561843\pi\)
\(558\) 8.27199 + 14.3275i 0.350181 + 0.606532i
\(559\) 0.0241985 0.106020i 0.00102349 0.00448419i
\(560\) −13.0763 17.2165i −0.552574 0.727531i
\(561\) 15.4744 + 67.7979i 0.653331 + 2.86243i
\(562\) −16.1352 + 14.9712i −0.680620 + 0.631523i
\(563\) 3.02664 0.456193i 0.127558 0.0192262i −0.0849530 0.996385i \(-0.527074\pi\)
0.212511 + 0.977159i \(0.431836\pi\)
\(564\) −33.1052 + 4.98981i −1.39398 + 0.210109i
\(565\) 8.30007 7.70134i 0.349186 0.323998i
\(566\) −10.8644 47.6001i −0.456665 2.00078i
\(567\) 10.5744 4.78791i 0.444083 0.201073i
\(568\) −0.199692 + 0.874906i −0.00837888 + 0.0367103i
\(569\) −19.2597 33.3588i −0.807408 1.39847i −0.914653 0.404239i \(-0.867536\pi\)
0.107245 0.994233i \(-0.465797\pi\)
\(570\) 24.2331 41.9729i 1.01501 1.75805i
\(571\) −14.8877 13.8138i −0.623033 0.578090i 0.304185 0.952613i \(-0.401616\pi\)
−0.927218 + 0.374523i \(0.877806\pi\)
\(572\) 3.43878 + 2.34452i 0.143783 + 0.0980294i
\(573\) 8.32868 + 10.4438i 0.347936 + 0.436298i
\(574\) −13.6539 + 8.84382i −0.569903 + 0.369134i
\(575\) 2.23965 2.80844i 0.0934000 0.117120i
\(576\) −1.24782 + 0.384901i −0.0519924 + 0.0160375i
\(577\) 10.8763 + 27.7124i 0.452787 + 1.15368i 0.956996 + 0.290100i \(0.0936886\pi\)
−0.504210 + 0.863581i \(0.668216\pi\)
\(578\) 4.55194 60.7414i 0.189336 2.52651i
\(579\) 22.7698 58.0165i 0.946280 2.41108i
\(580\) 14.1101 + 6.79509i 0.585892 + 0.282151i
\(581\) −26.0438 + 7.36415i −1.08048 + 0.305516i
\(582\) −78.0412 + 37.5827i −3.23491 + 1.55785i
\(583\) −0.398215 5.31381i −0.0164924 0.220075i
\(584\) 6.24291 + 1.92568i 0.258333 + 0.0796853i
\(585\) −5.58606 + 3.80851i −0.230955 + 0.157463i
\(586\) −5.83112 0.878900i −0.240881 0.0363070i
\(587\) 13.6852 0.564849 0.282424 0.959290i \(-0.408861\pi\)
0.282424 + 0.959290i \(0.408861\pi\)
\(588\) −18.7977 10.1733i −0.775203 0.419542i
\(589\) 14.1357 0.582452
\(590\) 21.8297 + 3.29029i 0.898713 + 0.135459i
\(591\) −26.4638 + 18.0427i −1.08858 + 0.742179i
\(592\) −42.0011 12.9556i −1.72623 0.532473i
\(593\) −0.647809 8.64441i −0.0266023 0.354984i −0.994582 0.103955i \(-0.966850\pi\)
0.967980 0.251029i \(-0.0807688\pi\)
\(594\) 17.3594 8.35984i 0.712264 0.343008i
\(595\) −14.9161 27.3059i −0.611500 1.11943i
\(596\) 8.61942 + 4.15089i 0.353065 + 0.170027i
\(597\) 0.464461 1.18343i 0.0190091 0.0484345i
\(598\) 0.206353 2.75359i 0.00843841 0.112603i
\(599\) 5.83223 + 14.8603i 0.238299 + 0.607175i 0.999127 0.0417782i \(-0.0133023\pi\)
−0.760828 + 0.648953i \(0.775207\pi\)
\(600\) 8.92394 2.75267i 0.364318 0.112377i
\(601\) 11.0037 13.7982i 0.448850 0.562840i −0.505001 0.863119i \(-0.668508\pi\)
0.953852 + 0.300278i \(0.0970795\pi\)
\(602\) 0.0501381 0.507720i 0.00204347 0.0206931i
\(603\) −14.8602 18.6341i −0.605153 0.758838i
\(604\) −5.08242 3.46513i −0.206801 0.140994i
\(605\) −2.67985 2.48654i −0.108952 0.101092i
\(606\) −3.99615 + 6.92154i −0.162333 + 0.281168i
\(607\) −18.0186 31.2092i −0.731354 1.26674i −0.956305 0.292372i \(-0.905555\pi\)
0.224950 0.974370i \(-0.427778\pi\)
\(608\) −8.04832 + 35.2620i −0.326402 + 1.43006i
\(609\) −58.8549 1.39115i −2.38492 0.0563721i
\(610\) 8.78579 + 38.4930i 0.355726 + 1.55854i
\(611\) 8.03749 7.45770i 0.325162 0.301706i
\(612\) −33.4053 + 5.03505i −1.35033 + 0.203530i
\(613\) −6.24244 + 0.940897i −0.252130 + 0.0380025i −0.273891 0.961761i \(-0.588311\pi\)
0.0217612 + 0.999763i \(0.493073\pi\)
\(614\) 19.2495 17.8609i 0.776848 0.720809i
\(615\) 3.37873 + 14.8032i 0.136244 + 0.596923i
\(616\) −13.0007 6.64375i −0.523815 0.267684i
\(617\) 1.41263 6.18914i 0.0568704 0.249165i −0.938500 0.345279i \(-0.887784\pi\)
0.995370 + 0.0961140i \(0.0306413\pi\)
\(618\) 22.3670 + 38.7408i 0.899733 + 1.55838i
\(619\) −0.408751 + 0.707977i −0.0164291 + 0.0284560i −0.874123 0.485705i \(-0.838563\pi\)
0.857694 + 0.514161i \(0.171896\pi\)
\(620\) 3.11777 + 2.89287i 0.125213 + 0.116180i
\(621\) −3.84392 2.62074i −0.154251 0.105167i
\(622\) 1.33409 + 1.67290i 0.0534921 + 0.0670770i
\(623\) 14.1893 + 13.8039i 0.568481 + 0.553040i
\(624\) 8.28353 10.3872i 0.331607 0.415822i
\(625\) −7.78325 + 2.40082i −0.311330 + 0.0960326i
\(626\) 13.0816 + 33.3314i 0.522847 + 1.33219i
\(627\) 4.52659 60.4031i 0.180775 2.41227i
\(628\) −7.18727 + 18.3129i −0.286803 + 0.730763i
\(629\) −56.9933 27.4465i −2.27247 1.09436i
\(630\) −23.7547 + 21.0187i −0.946411 + 0.837405i
\(631\) 0.456746 0.219957i 0.0181828 0.00875637i −0.424770 0.905301i \(-0.639645\pi\)
0.442953 + 0.896545i \(0.353931\pi\)
\(632\) −0.406112 5.41919i −0.0161543 0.215564i
\(633\) 16.8034 + 5.18317i 0.667877 + 0.206013i
\(634\) 0.700995 0.477930i 0.0278401 0.0189810i
\(635\) −10.9986 1.65777i −0.436466 0.0657866i
\(636\) 4.47373 0.177395
\(637\) 6.96338 0.715093i 0.275899 0.0283330i
\(638\) 53.7813 2.12922
\(639\) 2.40941 + 0.363161i 0.0953149 + 0.0143664i
\(640\) 14.9524 10.1944i 0.591047 0.402969i
\(641\) 1.10313 + 0.340269i 0.0435709 + 0.0134398i 0.316464 0.948605i \(-0.397504\pi\)
−0.272893 + 0.962044i \(0.587981\pi\)
\(642\) −1.56030 20.8208i −0.0615802 0.821730i
\(643\) −12.0227 + 5.78984i −0.474130 + 0.228329i −0.655660 0.755057i \(-0.727609\pi\)
0.181530 + 0.983385i \(0.441895\pi\)
\(644\) −0.241136 4.70857i −0.00950207 0.185544i
\(645\) −0.429037 0.206613i −0.0168933 0.00813539i
\(646\) −28.9762 + 73.8303i −1.14006 + 2.90481i
\(647\) 2.80182 37.3878i 0.110151 1.46986i −0.618935 0.785442i \(-0.712436\pi\)
0.729086 0.684422i \(-0.239945\pi\)
\(648\) 2.43199 + 6.19662i 0.0955377 + 0.243426i
\(649\) 26.3649 8.13249i 1.03491 0.319228i
\(650\) 2.55033 3.19801i 0.100032 0.125436i
\(651\) −15.1620 5.07221i −0.594245 0.198796i
\(652\) 12.8262 + 16.0836i 0.502314 + 0.629881i
\(653\) 5.84525 + 3.98522i 0.228742 + 0.155954i 0.672268 0.740308i \(-0.265320\pi\)
−0.443526 + 0.896262i \(0.646273\pi\)
\(654\) −56.1658 52.1142i −2.19625 2.03783i
\(655\) −9.16590 + 15.8758i −0.358141 + 0.620319i
\(656\) −8.63260 14.9521i −0.337046 0.583782i
\(657\) 3.94725 17.2940i 0.153997 0.674704i
\(658\) 33.0137 39.4482i 1.28701 1.53785i
\(659\) −2.41219 10.5685i −0.0939657 0.411691i 0.905966 0.423350i \(-0.139146\pi\)
−0.999932 + 0.0116592i \(0.996289\pi\)
\(660\) 13.3599 12.3961i 0.520032 0.482519i
\(661\) 33.6940 5.07855i 1.31055 0.197533i 0.543654 0.839310i \(-0.317041\pi\)
0.766891 + 0.641777i \(0.221802\pi\)
\(662\) 14.1020 2.12553i 0.548088 0.0826110i
\(663\) 14.0164 13.0054i 0.544353 0.505086i
\(664\) −3.45374 15.1318i −0.134031 0.587229i
\(665\) 5.40459 + 26.5571i 0.209581 + 1.02984i
\(666\) −14.3496 + 62.8696i −0.556034 + 2.43615i
\(667\) −6.49300 11.2462i −0.251410 0.435455i
\(668\) 1.50522 2.60711i 0.0582387 0.100872i
\(669\) 33.1227 + 30.7333i 1.28060 + 1.18822i
\(670\) −13.9105 9.48399i −0.537408 0.366398i
\(671\) 30.7664 + 38.5798i 1.18772 + 1.48936i
\(672\) 21.2854 34.9341i 0.821103 1.34761i
\(673\) 22.3002 27.9636i 0.859611 1.07792i −0.136572 0.990630i \(-0.543609\pi\)
0.996183 0.0872879i \(-0.0278200\pi\)
\(674\) −34.4607 + 10.6297i −1.32738 + 0.409442i
\(675\) −2.51778 6.41520i −0.0969095 0.246921i
\(676\) 0.0855174 1.14115i 0.00328913 0.0438904i
\(677\) −3.67235 + 9.35700i −0.141140 + 0.359619i −0.983912 0.178651i \(-0.942827\pi\)
0.842772 + 0.538270i \(0.180922\pi\)
\(678\) 29.4113 + 14.1637i 1.12953 + 0.543954i
\(679\) 18.7562 44.6571i 0.719795 1.71378i
\(680\) 16.0762 7.74188i 0.616493 0.296888i
\(681\) 1.78457 + 23.8134i 0.0683849 + 0.912533i
\(682\) 13.9567 + 4.30507i 0.534429 + 0.164850i
\(683\) 7.47467 5.09614i 0.286010 0.194999i −0.411813 0.911268i \(-0.635104\pi\)
0.697823 + 0.716270i \(0.254152\pi\)
\(684\) 29.0970 + 4.38566i 1.11255 + 0.167690i
\(685\) −37.9021 −1.44817
\(686\) 31.9886 7.43263i 1.22133 0.283779i
\(687\) 2.52713 0.0964161
\(688\) 0.535421 + 0.0807017i 0.0204127 + 0.00307672i
\(689\) −1.21056 + 0.825347i −0.0461187 + 0.0314432i
\(690\) −11.5544 3.56406i −0.439868 0.135681i
\(691\) −2.02743 27.0541i −0.0771270 1.02919i −0.892735 0.450583i \(-0.851216\pi\)
0.815608 0.578605i \(-0.196403\pi\)
\(692\) 18.2023 8.76576i 0.691947 0.333224i
\(693\) −15.3507 + 36.5488i −0.583124 + 1.38838i
\(694\) −4.33313 2.08673i −0.164483 0.0792111i
\(695\) 1.26438 3.22158i 0.0479606 0.122202i
\(696\) 2.52297 33.6667i 0.0956329 1.27613i
\(697\) −9.07793 23.1302i −0.343851 0.876118i
\(698\) 43.0573 13.2814i 1.62974 0.502709i
\(699\) −1.48692 + 1.86454i −0.0562404 + 0.0705232i
\(700\) 3.63399 5.96418i 0.137352 0.225425i
\(701\) −6.01812 7.54648i −0.227301 0.285027i 0.655082 0.755557i \(-0.272634\pi\)
−0.882384 + 0.470531i \(0.844062\pi\)
\(702\) −4.37713 2.98428i −0.165204 0.112634i
\(703\) 40.3906 + 37.4770i 1.52336 + 1.41347i
\(704\) −0.576416 + 0.998382i −0.0217245 + 0.0376279i
\(705\) −24.0062 41.5800i −0.904127 1.56599i
\(706\) 12.6786 55.5486i 0.477165 2.09060i
\(707\) −0.891244 4.37939i −0.0335187 0.164704i
\(708\) 5.15444 + 22.5831i 0.193716 + 0.848723i
\(709\) −25.1372 + 23.3239i −0.944046 + 0.875946i −0.992421 0.122883i \(-0.960786\pi\)
0.0483754 + 0.998829i \(0.484596\pi\)
\(710\) 1.70197 0.256531i 0.0638739 0.00962744i
\(711\) −14.5906 + 2.19918i −0.547189 + 0.0824755i
\(712\) −8.32195 + 7.72164i −0.311878 + 0.289381i
\(713\) −0.784754 3.43823i −0.0293893 0.128763i
\(714\) 57.5719 68.7931i 2.15458 2.57452i
\(715\) −1.32816 + 5.81904i −0.0496703 + 0.217620i
\(716\) 7.08858 + 12.2778i 0.264913 + 0.458842i
\(717\) −19.4460 + 33.6814i −0.726223 + 1.25786i
\(718\) 30.8128 + 28.5901i 1.14992 + 1.06697i
\(719\) 32.7092 + 22.3008i 1.21985 + 0.831678i 0.989934 0.141533i \(-0.0452031\pi\)
0.229914 + 0.973211i \(0.426155\pi\)
\(720\) −20.9887 26.3190i −0.782203 0.980852i
\(721\) −23.7223 7.93593i −0.883463 0.295550i
\(722\) 22.0667 27.6708i 0.821239 1.02980i
\(723\) −67.6197 + 20.8579i −2.51480 + 0.775714i
\(724\) −2.69588 6.86900i −0.100192 0.255284i
\(725\) 1.43755 19.1827i 0.0533891 0.712428i
\(726\) 3.85063 9.81125i 0.142910 0.364130i
\(727\) 1.94735 + 0.937796i 0.0722233 + 0.0347809i 0.469647 0.882854i \(-0.344381\pi\)
−0.397423 + 0.917635i \(0.630096\pi\)
\(728\) 0.205312 + 4.00906i 0.00760937 + 0.148585i
\(729\) 37.8311 18.2185i 1.40115 0.674759i
\(730\) −0.936398 12.4954i −0.0346576 0.462474i
\(731\) 0.744653 + 0.229695i 0.0275420 + 0.00849558i
\(732\) −34.2295 + 23.3373i −1.26516 + 0.862570i
\(733\) −45.7632 6.89769i −1.69030 0.254772i −0.767780 0.640714i \(-0.778638\pi\)
−0.922523 + 0.385942i \(0.873877\pi\)
\(734\) −27.4055 −1.01156
\(735\) 3.73231 30.4244i 0.137668 1.12222i
\(736\) 9.02359 0.332614
\(737\) −20.8063 3.13605i −0.766410 0.115518i
\(738\) −20.9290 + 14.2691i −0.770407 + 0.525254i
\(739\) −36.4557 11.2451i −1.34105 0.413658i −0.460517 0.887651i \(-0.652336\pi\)
−0.880529 + 0.473993i \(0.842812\pi\)
\(740\) 1.23889 + 16.5318i 0.0455425 + 0.607722i
\(741\) −15.0053 + 7.22617i −0.551233 + 0.265460i
\(742\) −5.14791 + 4.55498i −0.188986 + 0.167219i
\(743\) 13.9698 + 6.72748i 0.512501 + 0.246807i 0.672215 0.740356i \(-0.265343\pi\)
−0.159714 + 0.987163i \(0.551057\pi\)
\(744\) 3.34967 8.53483i 0.122805 0.312902i
\(745\) −1.02528 + 13.6814i −0.0375634 + 0.501249i
\(746\) 2.95593 + 7.53158i 0.108224 + 0.275751i
\(747\) −40.2701 + 12.4217i −1.47341 + 0.454486i
\(748\) −18.5952 + 23.3177i −0.679909 + 0.852579i
\(749\) 8.36853 + 8.14122i 0.305779 + 0.297474i
\(750\) −35.3742 44.3579i −1.29168 1.61972i
\(751\) 4.87363 + 3.32278i 0.177841 + 0.121250i 0.648969 0.760815i \(-0.275201\pi\)
−0.471128 + 0.882065i \(0.656153\pi\)
\(752\) 40.0200 + 37.1331i 1.45938 + 1.35411i
\(753\) 30.1984 52.3052i 1.10049 1.90611i
\(754\) −7.39368 12.8062i −0.269262 0.466375i
\(755\) 1.96298 8.60036i 0.0714400 0.312999i
\(756\) −8.05458 4.11612i −0.292942 0.149702i
\(757\) 5.39284 + 23.6276i 0.196006 + 0.858760i 0.973284 + 0.229603i \(0.0737426\pi\)
−0.777278 + 0.629157i \(0.783400\pi\)
\(758\) −34.2294 + 31.7602i −1.24327 + 1.15358i
\(759\) −14.9432 + 2.25232i −0.542403 + 0.0817540i
\(760\) −15.3683 + 2.31640i −0.557468 + 0.0840248i
\(761\) −26.2633 + 24.3688i −0.952044 + 0.883368i −0.993275 0.115782i \(-0.963063\pi\)
0.0412309 + 0.999150i \(0.486872\pi\)
\(762\) −7.13581 31.2640i −0.258503 1.13258i
\(763\) 42.8321 + 1.01242i 1.55063 + 0.0366520i
\(764\) −1.27481 + 5.58532i −0.0461211 + 0.202070i
\(765\) −24.2239 41.9569i −0.875815 1.51696i
\(766\) 29.9102 51.8060i 1.08070 1.87183i
\(767\) −5.56105 5.15990i −0.200798 0.186313i
\(768\) 44.5068 + 30.3442i 1.60600 + 1.09495i
\(769\) 8.33308 + 10.4494i 0.300499 + 0.376813i 0.909040 0.416709i \(-0.136816\pi\)
−0.608541 + 0.793522i \(0.708245\pi\)
\(770\) −2.75188 + 27.8667i −0.0991708 + 1.00425i
\(771\) 21.4178 26.8571i 0.771345 0.967236i
\(772\) 25.5419 7.87863i 0.919273 0.283558i
\(773\) 16.1328 + 41.1057i 0.580256 + 1.47847i 0.855865 + 0.517199i \(0.173